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Materials Data on Li7Mn4(P2O7)4 by Materials Project

Li7Mn4(P2O7)4 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are fourteen inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.95–2.35 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four PO4 tetrahedra, a cornercorner with one MnO5 trigonal bipyramid, and an edgeedge with one LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.85–2.02 Å. In the third Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.96–2.50 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four PO4 tetrahedra, a cornercorner with one MnO5 trigonal bipyramid, and an edgeedge with one LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.93–1.96 Å. In the fifth Li1+ site, Li1+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.92–2.21 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, a cornercorner with one MnO5 trigonal bipyramid, an edgeedge with one MnO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedral tilt angles are 60°. There are a spread of Li–O bond distances ranging from 2.01–2.21 Å. In the seventh Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.96–2.32 Å. In the eighth Li1+ site, Li1+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.93–2.20 Å. In the ninth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four PO4 tetrahedra, corners with two LiO5 trigonal bipyramids, and an edgeedge with one LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.92–1.99 Å. In the tenth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share corners with two LiO4 tetrahedra, corners with five PO4 tetrahedra, a cornercorner with one MnO5 trigonal bipyramid, and an edgeedge with one MnO6 octahedra. There are a spread of Li–O bond distances ranging from 1.98–2.41 Å. In the eleventh Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share corners with two LiO4 tetrahedra, corners with five PO4 tetrahedra, an edgeedge with one MnO6 octahedra, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.96–2.43 Å. In the twelfth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four PO4 tetrahedra, a cornercorner with one MnO5 trigonal bipyramid, corners with two LiO5 trigonal bipyramids, and an edgeedge with one LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.92–2.01 Å. In the thirteenth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share corners with five PO4 tetrahedra, a cornercorner with one MnO5 trigonal bipyramid, and an edgeedge with one MnO6 octahedra. There are a spread of Li–O bond distances ranging from 1.88–2.65 Å. In the fourteenth Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.91–2.43 Å. There are eight inequivalent Mn+2.25+ sites. In the first Mn+2.25+ site, Mn+2.25+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Mn–O bond distances ranging from 2.12–2.31 Å. In the second Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form distorted MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, corners with five PO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, and an edgeedge with one MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.99–2.19 Å. In the third Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form distorted MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, corners with five PO4 tetrahedra, and an edgeedge with one MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 2.09–2.24 Å. In the fourth Mn+2.25+ site, Mn+2.25+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra, 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 2.05–2.20 Å. In the fifth Mn+2.25+ site, Mn+2.25+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra and edges with two LiO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.11–2.32 Å. In the sixth Mn+2.25+ site, Mn+2.25+ is bonded in a 5-coordinate geometry to six O2- atoms. There are a spread of Mn–O bond distances ranging from 2.14–2.77 Å. In the seventh Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form distorted MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, corners with five PO4 tetrahedra, corners with two LiO5 trigonal bipyramids, an edgeedge with one MnO6 octahedra, and an edgeedge with one LiO5 trigonal bipyramid. There are a spread of Mn–O bond distances ranging from 2.17–2.25 Å. In the eighth Mn+2.25+ site, Mn+2.25+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra, 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 2.16–2.34 Å. There are sixteen inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one PO4 tetrahedra, a cornercorner with one MnO5 trigonal bipyramid, and corners with two LiO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 57°. There are a spread of P–O bond distances ranging from 1.50–1.61 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one PO4 tetrahedra, corners with two LiO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, and a cornercorner with one MnO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 39°. There are a spread of P–O bond distances ranging from 1.51–1.63 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one PO4 tetrahedra, corners with two LiO4 tetrahedra, and corners with two MnO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 59°. There are a spread of P–O bond distances ranging from 1.52–1.61 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 PO4 tetrahedra, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 24–56°. There are a spread of P–O bond distances ranging from 1.52–1.63 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three MnO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 30–54°. There are a spread of P–O bond distances ranging from 1.52–1.62 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one PO4 tetrahedra, corners with two LiO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, and a cornercorner with one MnO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 57°. There are a spread of P–O bond distances ranging from 1.51–1.61 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one PO4 tetrahedra, a cornercorner with one MnO5 trigonal bipyramid, and corners with two LiO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 57°. There are a spread of P–O bond distances ranging from 1.52–1.62 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one PO4 tetrahedra, corners with two LiO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, and a cornercorner with one MnO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 34°. There are a spread of P–O bond distances ranging from 1.51–1.64 Å. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one PO4 tetrahedra, corners with two LiO4 tetrahedra, a cornercorner with one MnO5 trigonal bipyramid, and corners with two LiO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 40°. There are a spread of P–O bond distances ranging from 1.51–1.64 Å. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one PO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, and corners with two MnO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 54°. There are a spread of P–O bond distances ranging from 1.52–1.61 Å. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one PO4 tetrahedra, corners with two LiO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, and corners with two MnO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 54°. There are a spread of P–O bond distances ranging from 1.51–1.63 Å. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three MnO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 35–51°. There are a spread of P–O bond distances ranging from 1.53–1.61 Å. In the thirteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three MnO6 octahedra, a cornercorner with one PO4 tetrahedra, and a cornercorner with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 31–57°. There are a spread of P–O bond distances ranging from 1.52–1.63 Å. In the fourteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one PO4 tetrahedra, corners with two LiO4 tetrahedra, and a cornercorner with one MnO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 59°. There are a spread of P–O bond distances ranging from 1.52–1.62 Å. In the fifteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one PO4 tetrahedra, corners with two LiO4 tetrahedra, and corners with two LiO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 40°. There are a spread of P–O bond distances ranging from 1.49–1.65 Å. In the sixteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that shar

36 MATERIALS SCIENCE↗

Materials Data on MgO by Materials Project

MgO crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are twelve inequivalent Mg2+ sites. In the first Mg2+ site, Mg2+ is bonded to four O2- atoms to form distorted MgO4 tetrahedra that share corners with five MgO4 tetrahedra, corners with three MgO5 trigonal bipyramids, corners with two equivalent MgO4 trigonal pyramids, and edges with two equivalent MgO5 trigonal bipyramids. There are a spread of Mg–O bond distances ranging from 1.96–2.06 Å. In the second Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 trigonal pyramids that share a cornercorner with one MgO4 tetrahedra, corners with three MgO5 trigonal bipyramids, corners with four MgO4 trigonal pyramids, and edges with two equivalent MgO5 trigonal bipyramids. There are a spread of Mg–O bond distances ranging from 1.96–2.09 Å. In the third Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with three MgO4 tetrahedra, corners with four MgO4 trigonal pyramids, and edges with two equivalent MgO5 trigonal bipyramids. There are three shorter (1.98 Å) and one longer (2.02 Å) Mg–O bond lengths. In the fourth Mg2+ site, Mg2+ is bonded in a see-saw-like geometry to four O2- atoms. There are a spread of Mg–O bond distances ranging from 1.96–2.03 Å. In the fifth Mg2+ site, Mg2+ is bonded to five O2- atoms to form MgO5 trigonal bipyramids that share corners with two equivalent MgO4 tetrahedra, corners with four MgO5 trigonal bipyramids, corners with two MgO4 trigonal pyramids, an edgeedge with one MgO4 tetrahedra, and edges with five MgO5 trigonal bipyramids. There are a spread of Mg–O bond distances ranging from 2.04–2.20 Å. In the sixth Mg2+ site, Mg2+ is bonded to five O2- atoms to form MgO5 trigonal bipyramids that share corners with three MgO4 tetrahedra, corners with five MgO5 trigonal bipyramids, edges with three MgO5 trigonal bipyramids, and edges with two equivalent MgO4 trigonal pyramids. There are a spread of Mg–O bond distances ranging from 2.02–2.18 Å. In the seventh Mg2+ site, Mg2+ is bonded to five O2- atoms to form MgO5 trigonal bipyramids that share corners with two equivalent MgO4 tetrahedra, corners with four MgO5 trigonal bipyramids, corners with three MgO4 trigonal pyramids, and edges with two MgO5 trigonal bipyramids. There are a spread of Mg–O bond distances ranging from 2.05–2.18 Å. In the eighth Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 trigonal pyramids that share corners with four MgO4 tetrahedra, a cornercorner with one MgO5 trigonal bipyramid, corners with two equivalent MgO4 trigonal pyramids, and edges with three MgO5 trigonal bipyramids. There are a spread of Mg–O bond distances ranging from 1.95–2.13 Å. In the ninth Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 trigonal pyramids that share corners with two equivalent MgO4 tetrahedra, a cornercorner with one MgO5 trigonal bipyramid, corners with four MgO4 trigonal pyramids, and an edgeedge with one MgO5 trigonal bipyramid. There are a spread of Mg–O bond distances ranging from 1.96–2.09 Å. In the tenth Mg2+ site, Mg2+ is bonded to five O2- atoms to form MgO5 trigonal bipyramids that share a cornercorner with one MgO4 tetrahedra, corners with four MgO5 trigonal bipyramids, edges with four MgO4 tetrahedra, an edgeedge with one MgO5 trigonal bipyramid, and an edgeedge with one MgO4 trigonal pyramid. There are a spread of Mg–O bond distances ranging from 1.97–2.24 Å. In the eleventh Mg2+ site, Mg2+ is bonded to five O2- atoms to form MgO5 trigonal bipyramids that share corners with two equivalent MgO4 tetrahedra, corners with three MgO5 trigonal bipyramids, edges with three MgO5 trigonal bipyramids, and edges with three MgO4 trigonal pyramids. There are a spread of Mg–O bond distances ranging from 2.00–2.21 Å. In the twelfth Mg2+ site, Mg2+ is bonded to four O2- atoms to form distorted MgO4 tetrahedra that share corners with four MgO4 tetrahedra, corners with seven MgO5 trigonal bipyramids, a cornercorner with one MgO4 trigonal pyramid, and an edgeedge with one MgO5 trigonal bipyramid. There are a spread of Mg–O bond distances ranging from 1.99–2.05 Å. There are twelve inequivalent O2- sites. In the first O2- site, O2- is bonded to five Mg2+ atoms to form OMg5 trigonal bipyramids that share corners with two equivalent OMg4 tetrahedra, corners with four OMg5 trigonal bipyramids, corners with three OMg4 trigonal pyramids, and edges with two OMg5 trigonal bipyramids. In the second O2- site, O2- is bonded to four Mg2+ atoms to form OMg4 trigonal pyramids that share corners with seven OMg4 trigonal pyramids and edges with two equivalent OMg5 trigonal bipyramids. In the third O2- site, O2- is bonded to five Mg2+ atoms to form OMg5 trigonal bipyramids that share corners with two equivalent OMg4 tetrahedra, corners with five OMg5 trigonal bipyramids, a cornercorner with one OMg4 trigonal pyramid, edges with three OMg5 trigonal bipyramids, and edges with two equivalent OMg4 trigonal pyramids. In the fourth O2- site, O2- is bonded in a see-saw-like geometry to four Mg2+ atoms. In the fifth O2- site, O2- is bonded to four Mg2+ atoms to form OMg4 trigonal pyramids that share a cornercorner with one OMg4 tetrahedra, corners with three OMg5 trigonal bipyramids, corners with four OMg4 trigonal pyramids, and edges with two equivalent OMg5 trigonal bipyramids. In the sixth O2- site, O2- is bonded to four Mg2+ atoms to form distorted OMg4 trigonal pyramids that share corners with two equivalent OMg4 tetrahedra, corners with three OMg5 trigonal bipyramids, corners with five OMg4 trigonal pyramids, and edges with two equivalent OMg5 trigonal bipyramids. In the seventh O2- site, O2- is bonded to four Mg2+ atoms to form OMg4 trigonal pyramids that share a cornercorner with one OMg5 trigonal bipyramid, corners with six OMg4 trigonal pyramids, and edges with three OMg5 trigonal bipyramids. In the eighth O2- site, O2- is bonded to five Mg2+ atoms to form OMg5 trigonal bipyramids that share corners with four OMg5 trigonal bipyramids, corners with four OMg4 trigonal pyramids, an edgeedge with one OMg4 tetrahedra, and edges with five OMg5 trigonal bipyramids. In the ninth O2- site, O2- is bonded to four Mg2+ atoms to form OMg4 trigonal pyramids that share a cornercorner with one OMg5 trigonal bipyramid, corners with six OMg4 trigonal pyramids, and an edgeedge with one OMg5 trigonal bipyramid. In the tenth O2- site, O2- is bonded to four Mg2+ atoms to form distorted OMg4 tetrahedra that share corners with two equivalent OMg4 tetrahedra, corners with seven OMg5 trigonal bipyramids, corners with three OMg4 trigonal pyramids, and an edgeedge with one OMg5 trigonal bipyramid. In the eleventh O2- site, O2- is bonded to five Mg2+ atoms to form OMg5 trigonal bipyramids that share a cornercorner with one OMg4 tetrahedra, corners with four OMg5 trigonal bipyramids, an edgeedge with one OMg5 trigonal bipyramid, and edges with five OMg4 trigonal pyramids. In the twelfth O2- site, O2- is bonded to five Mg2+ atoms to form OMg5 trigonal bipyramids that share corners with two equivalent OMg4 tetrahedra, corners with three OMg5 trigonal bipyramids, edges with three OMg5 trigonal bipyramids, and edges with three OMg4 trigonal pyramids.

36 MATERIALS SCIENCE↗

Materials Data on Th3Fe33C4 by Materials Project

Th3Fe33C4 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are three inequivalent Th sites. In the first Th site, Th is bonded in a distorted L-shaped geometry to ten Fe and two C atoms. There are a spread of Th–Fe bond distances ranging from 3.11–3.28 Å. There are one shorter (2.68 Å) and one longer (2.70 Å) Th–C bond lengths. In the second Th site, Th is bonded in a distorted T-shaped geometry to six Fe and three C atoms. There are a spread of Th–Fe bond distances ranging from 3.14–3.29 Å. There are a spread of Th–C bond distances ranging from 2.66–2.69 Å. In the third Th site, Th is bonded in a distorted T-shaped geometry to six Fe and three C atoms. There are a spread of Th–Fe bond distances ranging from 3.14–3.29 Å. There are two shorter (2.66 Å) and one longer (2.69 Å) Th–C bond lengths. There are thirty-five inequivalent Fe sites. In the first Fe site, Fe is bonded in a 12-coordinate geometry to ten Fe atoms. There are a spread of Fe–Fe bond distances ranging from 2.41–2.66 Å. In the second Fe site, Fe is bonded in a 12-coordinate geometry to ten Fe atoms. There are a spread of Fe–Fe bond distances ranging from 2.41–2.66 Å. In the third Fe site, Fe is bonded in a 12-coordinate geometry to ten Fe atoms. There are a spread of Fe–Fe bond distances ranging from 2.41–2.64 Å. In the fourth Fe site, Fe is bonded in a 12-coordinate geometry to ten Fe atoms. There are a spread of Fe–Fe bond distances ranging from 2.42–2.65 Å. In the fifth Fe site, Fe is bonded in a 12-coordinate geometry to ten Fe atoms. There are a spread of Fe–Fe bond distances ranging from 2.42–2.67 Å. In the sixth Fe site, Fe is bonded in a 12-coordinate geometry to ten Fe atoms. There are a spread of Fe–Fe bond distances ranging from 2.42–2.65 Å. In the seventh Fe site, Fe is bonded in a 12-coordinate geometry to ten Fe atoms. There are a spread of Fe–Fe bond distances ranging from 2.43–2.69 Å. In the eighth Fe site, Fe is bonded in a 12-coordinate geometry to ten Fe atoms. There are a spread of Fe–Fe bond distances ranging from 2.44–2.70 Å. In the ninth Fe site, Fe is bonded to two Th and ten Fe atoms to form distorted FeTh2Fe10 cuboctahedra that share corners with four FeTh2Fe10 cuboctahedra, corners with five CTh2Fe4 octahedra, faces with nine FeTh2Fe10 cuboctahedra, and a faceface with one CTh2Fe4 octahedra. The corner-sharing octahedra tilt angles range from 24–71°. There are a spread of Fe–Fe bond distances ranging from 2.50–2.67 Å. In the tenth Fe site, Fe is bonded to two equivalent Th and ten Fe atoms to form distorted FeTh2Fe10 cuboctahedra that share corners with two FeTh2Fe10 cuboctahedra, corners with six CTh2Fe4 octahedra, an edgeedge with one CTh2Fe4 octahedra, faces with four FeTh2Fe10 cuboctahedra, and a faceface with one CTh2Fe4 octahedra. The corner-sharing octahedra tilt angles range from 24–70°. There are a spread of Fe–Fe bond distances ranging from 2.47–2.69 Å. In the eleventh Fe site, Fe is bonded to two Th and ten Fe atoms to form distorted FeTh2Fe10 cuboctahedra that share corners with four FeTh2Fe10 cuboctahedra, corners with five CTh2Fe4 octahedra, an edgeedge with one FeTh2Fe10 cuboctahedra, an edgeedge with one CTh2Fe4 octahedra, faces with five FeTh2Fe10 cuboctahedra, and a faceface with one CTh2Fe4 octahedra. The corner-sharing octahedra tilt angles range from 26–64°. There are a spread of Fe–Fe bond distances ranging from 2.48–2.70 Å. In the twelfth Fe site, Fe is bonded to two Th and ten Fe atoms to form distorted FeTh2Fe10 cuboctahedra that share corners with three FeTh2Fe10 cuboctahedra, corners with six CTh2Fe4 octahedra, edges with two FeTh2Fe10 cuboctahedra, an edgeedge with one CTh2Fe4 octahedra, and faces with six FeTh2Fe10 cuboctahedra. The corner-sharing octahedra tilt angles range from 23–70°. There are a spread of Fe–Fe bond distances ranging from 2.48–2.72 Å. In the thirteenth Fe site, Fe is bonded to two Th and ten Fe atoms to form distorted FeTh2Fe10 cuboctahedra that share corners with six FeTh2Fe10 cuboctahedra, corners with five CTh2Fe4 octahedra, an edgeedge with one FeTh2Fe10 cuboctahedra, an edgeedge with one CTh2Fe4 octahedra, faces with five FeTh2Fe10 cuboctahedra, and a faceface with one CTh2Fe4 octahedra. The corner-sharing octahedra tilt angles range from 24–71°. There are a spread of Fe–Fe bond distances ranging from 2.47–2.71 Å. In the fourteenth Fe site, Fe is bonded to two equivalent Th and ten Fe atoms to form distorted FeTh2Fe10 cuboctahedra that share corners with two equivalent FeTh2Fe10 cuboctahedra, corners with six CTh2Fe4 octahedra, an edgeedge with one CTh2Fe4 octahedra, faces with four FeTh2Fe10 cuboctahedra, and a faceface with one CTh2Fe4 octahedra. The corner-sharing octahedra tilt angles range from 24–71°. There are a spread of Fe–Fe bond distances ranging from 2.48–2.69 Å. In the fifteenth Fe site, Fe is bonded to two equivalent Th and ten Fe atoms to form distorted FeTh2Fe10 cuboctahedra that share corners with five FeTh2Fe10 cuboctahedra, corners with four CTh2Fe4 octahedra, an edgeedge with one FeTh2Fe10 cuboctahedra, faces with ten FeTh2Fe10 cuboctahedra, and a faceface with one CTh2Fe4 octahedra. The corner-sharing octahedra tilt angles range from 26–65°. There are a spread of Fe–Fe bond distances ranging from 2.51–2.66 Å. In the sixteenth Fe site, Fe is bonded in a single-bond geometry to five Fe and one C atom. The Fe–Fe bond length is 2.67 Å. The Fe–C bond length is 1.87 Å. In the seventeenth Fe site, Fe is bonded in a single-bond geometry to five Fe and one C atom. The Fe–Fe bond length is 2.67 Å. The Fe–C bond length is 1.88 Å. In the eighteenth Fe site, Fe is bonded in a single-bond geometry to six Fe and one C atom. The Fe–Fe bond length is 2.69 Å. The Fe–C bond length is 1.89 Å. In the nineteenth Fe site, Fe is bonded in a single-bond geometry to five Fe and one C atom. The Fe–Fe bond length is 2.68 Å. The Fe–C bond length is 1.88 Å. In the twentieth Fe site, Fe is bonded in a single-bond geometry to five Fe and one C atom. The Fe–Fe bond length is 2.68 Å. The Fe–C bond length is 1.88 Å. In the twenty-first Fe site, Fe is bonded in a single-bond geometry to six Fe and one C atom. There are one shorter (2.65 Å) and one longer (2.70 Å) Fe–Fe bond lengths. The Fe–C bond length is 1.89 Å. In the twenty-second Fe site, Fe is bonded in a single-bond geometry to four Fe and one C atom. The Fe–Fe bond length is 2.72 Å. The Fe–C bond length is 1.87 Å. In the twenty-third Fe site, Fe is bonded in a single-bond geometry to four Fe and one C atom. The Fe–Fe bond length is 2.72 Å. The Fe–C bond length is 1.87 Å. In the twenty-fourth Fe site, Fe is bonded in a single-bond geometry to six Fe and one C atom. There are one shorter (2.48 Å) and one longer (2.76 Å) Fe–Fe bond lengths. The Fe–C bond length is 1.86 Å. In the twenty-fifth Fe site, Fe is bonded in a single-bond geometry to four Fe and one C atom. The Fe–Fe bond length is 2.71 Å. The Fe–C bond length is 1.87 Å. In the twenty-sixth Fe site, Fe is bonded in a single-bond geometry to four Fe and one C atom. The Fe–Fe bond length is 2.72 Å. The Fe–C bond length is 1.87 Å. In the twenty-seventh Fe site, Fe is bonded to two equivalent Th and ten Fe atoms to form distorted FeTh2Fe10 cuboctahedra that share corners with seven FeTh2Fe10 cuboctahedra, corners with five CTh2Fe4 octahedra, edges with three FeTh2Fe10 cuboctahedra, an edgeedge with one CTh2Fe4 octahedra, and faces with seven FeTh2Fe10 cuboctahedra. The corner-sharing octahedra tilt angles range from 24–70°. There are one shorter (2.65 Å) and one longer (2.73 Å) Fe–Fe bond lengths. In the twenty-eighth Fe site, Fe is bonded in a single-bond geometry to five Fe and one C atom. The Fe–Fe bond length is 2.75 Å. The Fe–C bond length is 1.86 Å. In the twenty-ninth Fe site, Fe is bonded in a single-bond geometry to five Fe and one C atom. The Fe–Fe bond length is 2.75 Å. The Fe–C bond length is 1.86 Å. In the thirtieth Fe site, Fe is bonded in a single-bond geometry to six Fe and one C atom. The Fe–Fe bond length is 2.75 Å. The Fe–C bond length is 1.86 Å. In the thirty-first Fe site, Fe is bonded in a single-bond geometry to five Fe and one C atom. The Fe–Fe bond length is 2.74 Å. The Fe–C bond length is 1.86 Å. In the thirty-second Fe site, Fe is bonded in a single-bond geometry to five Fe and one C atom. The Fe–Fe bond length is 2.75 Å. The Fe–C bond length is 1.86 Å. In the thirty-third Fe site, Fe is bonded in a 12-coordinate geometry to two equivalent Th and twelve Fe atoms. In the thirty-fourth Fe site, Fe is bonded in a 1-coordinate geometry to two equivalent Th and twelve Fe atoms. In the thirty-fifth Fe site, Fe is bonded in a 1-coordinate geometry to two equivalent Th and twelve Fe atoms. There are five inequivalent C sites. In the first C site, C is bonded to two Th and four Fe atoms to form distorted CTh2Fe4 octahedra that share corners with six FeTh2Fe10 cuboctahedra, corners with four CTh2Fe4 octahedra, edges with two FeTh2Fe10 cuboctahedra, and faces with two FeTh2Fe10 cuboctahedra. The corner-sharing octahedra tilt angles range from 36–85°. In the second C site, C is bonded to two Th and four Fe atoms to form distorted CTh2Fe4 octahedra that share corners with twelve FeTh2Fe10 cuboctahedra, corners with three CTh2Fe4 octahedra, edges with two FeTh2Fe10 cuboctahedra, and faces with two FeTh2Fe10 cuboctahedra. The corner-sharing octahedra tilt angles range from 36–86°. In the third C site, C is bonded to two equivalent Th and four Fe atoms to form distorted CTh2Fe4 octahedra that share corners with six FeTh2Fe10 cuboctahedra, corners with four CTh2Fe4 octahedra, edges with two equivalent FeTh2Fe10 cuboctahedra, and faces with two equivalent FeTh2Fe10 cuboctahedra. The corner-sharing octahedra tilt angles range from 36–85°. In the fourth C site, C is bonded to two equivalent Th and four Fe atoms to form distorted CTh2Fe4 octahedra that share corners with eighteen FeTh2Fe10 cuboctahedra, corners with two equivalent CTh2Fe4 octahedra, edges with two equivalent FeTh2Fe10 cuboctahedra, and faces with two equivalent FeTh2Fe10 cuboctahedra. The corner-sharing octahedral tilt angles are 86°. In the fifth C site, C is bonded to two Th and four Fe atoms to form distorted CTh2Fe4 octahedra that share corners with twelve FeTh2Fe10 cuboctahedra and corners with four CTh2Fe4 octahedra. The corner-sharing octahedral tilt angles are 85°.

36 MATERIALS SCIENCE↗

Materials Data on Sc3(Ga4Fe5)4 by Materials Project

Sc3(Fe5Ga4)4 crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are three inequivalent Sc sites. In the first Sc site, Sc is bonded in a 6-coordinate geometry to fourteen Fe and six Ga atoms. There are a spread of Sc–Fe bond distances ranging from 3.16–3.33 Å. There are a spread of Sc–Ga bond distances ranging from 2.77–2.97 Å. In the second Sc site, Sc is bonded to ten Fe and eight Ga atoms to form distorted ScGa8Fe10 hexagonal bipyramids that share a cornercorner with one FeSc2Ga5Fe5 cuboctahedra, corners with four equivalent ScGa8Fe10 hexagonal bipyramids, edges with two equivalent FeScGa6Fe4 cuboctahedra, faces with twenty-two FeScGa6Fe4 cuboctahedra, and faces with two equivalent ScGa8Fe10 hexagonal bipyramids. There are a spread of Sc–Fe bond distances ranging from 3.20–3.30 Å. There are a spread of Sc–Ga bond distances ranging from 2.76–2.94 Å. In the third Sc site, Sc is bonded in a 6-coordinate geometry to fourteen Fe and six Ga atoms. There are a spread of Sc–Fe bond distances ranging from 3.16–3.31 Å. There are a spread of Sc–Ga bond distances ranging from 2.80–2.99 Å. There are fourteen inequivalent Fe sites. In the first Fe site, Fe is bonded to one Sc, four Fe, and six Ga atoms to form distorted FeScGa6Fe4 cuboctahedra that share corners with fifteen FeScGa6Fe4 cuboctahedra, edges with seven FeSc2Ga6Fe4 cuboctahedra, an edgeedge with one ScGa8Fe10 hexagonal bipyramid, faces with seven FeScGa6Fe4 cuboctahedra, and a faceface with one ScGa8Fe10 hexagonal bipyramid. There are a spread of Fe–Fe bond distances ranging from 2.49–2.51 Å. There are a spread of Fe–Ga bond distances ranging from 2.54–2.57 Å. In the second Fe site, Fe is bonded to two Sc, five Fe, and five Ga atoms to form distorted FeSc2Ga5Fe5 cuboctahedra that share corners with thirteen FeSc2Ga5Fe5 cuboctahedra, edges with six FeSc2Ga6Fe4 cuboctahedra, faces with twelve FeSc2Ga5Fe5 cuboctahedra, and faces with two equivalent ScGa8Fe10 hexagonal bipyramids. There are a spread of Fe–Fe bond distances ranging from 2.42–2.52 Å. There are a spread of Fe–Ga bond distances ranging from 2.54–2.60 Å. In the third Fe site, Fe is bonded to two Sc, five Fe, and five Ga atoms to form distorted FeSc2Ga5Fe5 cuboctahedra that share corners with sixteen FeScGa6Fe4 cuboctahedra, edges with seven FeSc2Ga5Fe5 cuboctahedra, and faces with twelve FeSc2Ga5Fe5 cuboctahedra. There are a spread of Fe–Fe bond distances ranging from 2.43–2.53 Å. There are a spread of Fe–Ga bond distances ranging from 2.53–2.59 Å. In the fourth Fe site, Fe is bonded to two equivalent Sc, five Fe, and five Ga atoms to form a mixture of distorted corner, edge, and face-sharing FeSc2Ga5Fe5 cuboctahedra. There are a spread of Fe–Fe bond distances ranging from 2.44–2.53 Å. There are a spread of Fe–Ga bond distances ranging from 2.54–2.58 Å. In the fifth Fe site, Fe is bonded to two equivalent Sc, four Fe, and six Ga atoms to form distorted FeSc2Ga6Fe4 cuboctahedra that share corners with seventeen FeScGa6Fe4 cuboctahedra, edges with six FeScGa6Fe4 cuboctahedra, faces with eight FeSc2Ga5Fe5 cuboctahedra, and faces with four equivalent ScGa8Fe10 hexagonal bipyramids. There are a spread of Fe–Fe bond distances ranging from 2.47–2.52 Å. There are a spread of Fe–Ga bond distances ranging from 2.53–2.61 Å. In the sixth Fe site, Fe is bonded to two equivalent Sc, five Fe, and five Ga atoms to form a mixture of distorted corner, edge, and face-sharing FeSc2Ga5Fe5 cuboctahedra. There are a spread of Fe–Fe bond distances ranging from 2.43–2.54 Å. There are a spread of Fe–Ga bond distances ranging from 2.53–2.59 Å. In the seventh Fe site, Fe is bonded to two equivalent Sc, six Fe, and four Ga atoms to form distorted FeSc2Ga4Fe6 cuboctahedra that share corners with twelve FeSc2Ga5Fe5 cuboctahedra, edges with six FeSc2Ga5Fe5 cuboctahedra, faces with fourteen FeSc2Ga5Fe5 cuboctahedra, and a faceface with one ScGa8Fe10 hexagonal bipyramid. There are one shorter (2.79 Å) and one longer (2.80 Å) Fe–Fe bond lengths. There are a spread of Fe–Ga bond distances ranging from 2.64–2.67 Å. In the eighth Fe site, Fe is bonded to two equivalent Sc, six Fe, and four Ga atoms to form distorted FeSc2Ga4Fe6 cuboctahedra that share corners with twelve FeScGa6Fe4 cuboctahedra, edges with six FeSc2Ga4Fe6 cuboctahedra, and faces with fourteen FeSc2Ga5Fe5 cuboctahedra. There are one shorter (2.77 Å) and one longer (2.83 Å) Fe–Fe bond lengths. There are a spread of Fe–Ga bond distances ranging from 2.64–2.67 Å. In the ninth Fe site, Fe is bonded to two equivalent Sc, four Fe, and six Ga atoms to form distorted FeSc2Ga6Fe4 cuboctahedra that share corners with fourteen FeScGa6Fe4 cuboctahedra, edges with nine FeScGa6Fe4 cuboctahedra, faces with seven FeScGa6Fe4 cuboctahedra, and faces with three equivalent ScGa8Fe10 hexagonal bipyramids. There are a spread of Fe–Ga bond distances ranging from 2.54–2.59 Å. In the tenth Fe site, Fe is bonded to two equivalent Sc, five Fe, and five Ga atoms to form distorted FeSc2Ga5Fe5 cuboctahedra that share corners with sixteen FeSc2Ga5Fe5 cuboctahedra, edges with seven FeSc2Ga5Fe5 cuboctahedra, faces with twelve FeSc2Ga5Fe5 cuboctahedra, and a faceface with one ScGa8Fe10 hexagonal bipyramid. There are a spread of Fe–Ga bond distances ranging from 2.51–2.63 Å. In the eleventh Fe site, Fe is bonded to two equivalent Sc, five Fe, and five Ga atoms to form distorted FeSc2Ga5Fe5 cuboctahedra that share corners with sixteen FeScGa6Fe4 cuboctahedra, edges with seven FeScGa6Fe4 cuboctahedra, and faces with twelve FeSc2Ga5Fe5 cuboctahedra. There are a spread of Fe–Ga bond distances ranging from 2.51–2.64 Å. In the twelfth Fe site, Fe is bonded to two equivalent Sc, five Fe, and five Ga atoms to form distorted FeSc2Ga5Fe5 cuboctahedra that share corners with sixteen FeScGa6Fe4 cuboctahedra, a cornercorner with one ScGa8Fe10 hexagonal bipyramid, edges with seven FeSc2Ga5Fe5 cuboctahedra, and faces with ten FeScGa6Fe4 cuboctahedra. There are a spread of Fe–Ga bond distances ranging from 2.52–2.60 Å. In the thirteenth Fe site, Fe is bonded to two equivalent Sc, four Fe, and six Ga atoms to form distorted FeSc2Ga6Fe4 cuboctahedra that share corners with fourteen FeScGa6Fe4 cuboctahedra, edges with five FeSc2Ga6Fe4 cuboctahedra, faces with eleven FeSc2Ga5Fe5 cuboctahedra, and faces with three equivalent ScGa8Fe10 hexagonal bipyramids. There are a spread of Fe–Ga bond distances ranging from 2.53–2.62 Å. In the fourteenth Fe site, Fe is bonded to two equivalent Sc, five Fe, and five Ga atoms to form a mixture of distorted corner, edge, and face-sharing FeSc2Ga5Fe5 cuboctahedra. There are a spread of Fe–Ga bond distances ranging from 2.51–2.63 Å. There are sixteen inequivalent Ga sites. In the first Ga site, Ga is bonded in a 10-coordinate geometry to one Sc, six Fe, and three Ga atoms. There are one shorter (2.73 Å) and two longer (2.88 Å) Ga–Ga bond lengths. In the second Ga site, Ga is bonded in a 10-coordinate geometry to one Sc, eight Fe, and one Ga atom. The Ga–Ga bond length is 2.73 Å. In the third Ga site, Ga is bonded in a 10-coordinate geometry to one Sc, eight Fe, and one Ga atom. The Ga–Ga bond length is 2.73 Å. In the fourth Ga site, Ga is bonded in a 10-coordinate geometry to one Sc, six Fe, and three Ga atoms. Both Ga–Ga bond lengths are 2.89 Å. In the fifth Ga site, Ga is bonded in a 10-coordinate geometry to one Sc, six Fe, and three Ga atoms. Both Ga–Ga bond lengths are 2.89 Å. In the sixth Ga site, Ga is bonded in a 10-coordinate geometry to one Sc, six Fe, and three Ga atoms. Both Ga–Ga bond lengths are 2.90 Å. In the seventh Ga site, Ga is bonded in a 1-coordinate geometry to one Sc, six Fe, and one Ga atom. The Ga–Ga bond length is 3.02 Å. In the eighth Ga site, Ga is bonded in a 1-coordinate geometry to one Sc, seven Fe, and one Ga atom. The Ga–Ga bond length is 2.81 Å. In the ninth Ga site, Ga is bonded in a 9-coordinate geometry to one Sc, seven Fe, and one Ga atom. The Ga–Ga bond length is 2.80 Å. In the tenth Ga site, Ga is bonded in a 1-coordinate geometry to one Sc, six Fe, and one Ga atom. In the eleventh Ga site, Ga is bonded in a 9-coordinate geometry to one Sc, seven Fe, and one Ga atom. In the twelfth Ga site, Ga is bonded in a 9-coordinate geometry to one Sc, seven Fe, and one Ga atom. In the thirteenth Ga site, Ga is bonded in a 10-coordinate geometry to two equivalent Sc, six Fe, and two equivalent Ga atoms. In the fourteenth Ga site, Ga is bonded in a 8-coordinate geometry to two equivalent Sc, six Fe, and two equivalent Ga atoms. In the fifteenth Ga site, Ga is bonded in a 10-coordinate geometry to two equivalent Sc, six Fe, and two equivalent Ga atoms. In the sixteenth Ga site, Ga is bonded in a 8-coordinate geometry to two equivalent Sc, six Fe, and two equivalent Ga atoms.

36 MATERIALS SCIENCE↗

Materials Data on Li7Mn4(P2O7)4 by Materials Project

Li7Mn4(P2O7)4 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are fourteen inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.96–2.36 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four PO4 tetrahedra, a cornercorner with one MnO5 trigonal bipyramid, and an edgeedge with one LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.95–1.99 Å. In the third Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.97–2.45 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four PO4 tetrahedra and an edgeedge with one LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.84–1.99 Å. In the fifth Li1+ site, Li1+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.92–2.29 Å. In the sixth Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 2.01–2.27 Å. In the seventh Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.99–2.34 Å. In the eighth Li1+ site, Li1+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.90–2.23 Å. In the ninth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four PO4 tetrahedra, a cornercorner with one MnO5 trigonal bipyramid, corners with two LiO5 trigonal bipyramids, and an edgeedge with one LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.92–2.01 Å. In the tenth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share corners with two LiO4 tetrahedra, corners with five PO4 tetrahedra, a cornercorner with one MnO5 trigonal bipyramid, an edgeedge with one MnO6 octahedra, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.93–2.46 Å. In the eleventh Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share corners with two LiO4 tetrahedra, corners with five PO4 tetrahedra, a cornercorner with one MnO5 trigonal bipyramid, an edgeedge with one MnO6 octahedra, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.97–2.42 Å. In the twelfth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four PO4 tetrahedra, a cornercorner with one MnO5 trigonal bipyramid, corners with two LiO5 trigonal bipyramids, and an edgeedge with one LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.91–2.01 Å. In the thirteenth Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.90–2.78 Å. In the fourteenth Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.89–2.43 Å. There are eight inequivalent Mn+2.25+ sites. In the first Mn+2.25+ site, Mn+2.25+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Mn–O bond distances ranging from 2.08–2.40 Å. In the second Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form distorted MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, corners with five PO4 tetrahedra, and an edgeedge with one MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 2.07–2.19 Å. In the third Mn+2.25+ site, Mn+2.25+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Mn–O bond distances ranging from 2.03–2.26 Å. In the fourth Mn+2.25+ site, Mn+2.25+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 2.03–2.26 Å. In the fifth Mn+2.25+ site, Mn+2.25+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra, 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 2.12–2.35 Å. In the sixth Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form distorted MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, corners with five PO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, an edgeedge with one MnO6 octahedra, and an edgeedge with one LiO5 trigonal bipyramid. There are a spread of Mn–O bond distances ranging from 2.13–2.25 Å. In the seventh Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form distorted MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, corners with five PO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, an edgeedge with one MnO6 octahedra, and an edgeedge with one LiO5 trigonal bipyramid. There are a spread of Mn–O bond distances ranging from 2.15–2.26 Å. In the eighth Mn+2.25+ site, Mn+2.25+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra, 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 2.14–2.31 Å. There are sixteen inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one PO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, and corners with two MnO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 57°. There are a spread of P–O bond distances ranging from 1.49–1.60 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one PO4 tetrahedra, corners with two LiO4 tetrahedra, and a cornercorner with one LiO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 36°. There are a spread of P–O bond distances ranging from 1.51–1.63 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one PO4 tetrahedra, corners with two LiO4 tetrahedra, and a cornercorner with one MnO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 58°. There are a spread of P–O bond distances ranging from 1.51–1.61 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three MnO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 22–55°. There are a spread of P–O bond distances ranging from 1.53–1.63 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three MnO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 32–54°. There are a spread of P–O bond distances ranging from 1.52–1.62 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one PO4 tetrahedra, corners with two LiO4 tetrahedra, and corners with two MnO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 56°. There are a spread of P–O bond distances ranging from 1.51–1.61 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one PO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, and corners with two MnO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 54°. There are a spread of P–O bond distances ranging from 1.52–1.60 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one PO4 tetrahedra, corners with two LiO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, and a cornercorner with one MnO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 37°. There are a spread of P–O bond distances ranging from 1.51–1.63 Å. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one PO4 tetrahedra, corners with two LiO4 tetrahedra, a cornercorner with one MnO5 trigonal bipyramid, and corners with two LiO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 39°. There are a spread of P–O bond distances ranging from 1.49–1.64 Å. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one PO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, and a cornercorner with one MnO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 54°. There are a spread of P–O bond distances ranging from 1.52–1.62 Å. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one PO4 tetrahedra, corners with two LiO4 tetrahedra, and a cornercorner with one MnO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 54°. There are a spread of P–O bond distances ranging from 1.51–1.62 Å. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three MnO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 32–53°. There is three shorter (1.53 Å) and one longer (1.62 Å) P–O bond length. In the thirteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three MnO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 32–56°. There are a spread of P–O bond distances ranging from 1.53–1.62 Å. In the fourteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one PO4 tetrahedra, corners with two LiO4 tetrahedra, and corners with two MnO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 58°. There are a spread of P–O bond distances ranging from 1.51–1.62 Å. In the fifteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one PO4 tetrahedra, corners with two LiO4 tetrahedra, a cornercorner with one MnO5 trigonal bipyramid, and corners with two LiO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 41°. There are a spread of P–O bond distances ranging from 1.51–1.64 Å. In the sixteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one PO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, and a cornercorner with one MnO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 55°. There are a spread of P–O bond distances ranging from 1.51–1.61 Å. There are fifty-six inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two Li1+ and one P5+ atom. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.25+, and one P5+ atom. In the t

36 MATERIALS SCIENCE↗

Materials Data on RbHfMg30O31 by Materials Project

RbMg30HfO31 crystallizes in the orthorhombic Pmm2 space group. The structure is three-dimensional. Rb is bonded to six O atoms to form RbO6 octahedra that share corners with four MgO6 octahedra, corners with two equivalent MgO5 square pyramids, edges with ten MgO6 octahedra, and edges with two equivalent MgO5 square pyramids. The corner-sharing octahedral tilt angles are 0°. There are one shorter (2.42 Å) and five longer (2.43 Å) Rb–O bond lengths. There are sixteen inequivalent Mg sites. In the first Mg site, Mg is bonded to five O atoms to form MgO5 square pyramids that share corners with two equivalent RbO6 octahedra, corners with two equivalent HfO6 octahedra, corners with five MgO5 square pyramids, and edges with eight MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of Mg–O bond distances ranging from 1.92–2.26 Å. In the second Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with two equivalent RbO6 octahedra, corners with two equivalent MgO6 octahedra, corners with two equivalent HfO6 octahedra, and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are a spread of Mg–O bond distances ranging from 1.92–2.25 Å. In the third Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with two equivalent RbO6 octahedra, corners with two equivalent MgO6 octahedra, corners with two equivalent MgO5 square pyramids, edges with ten MgO6 octahedra, and edges with two equivalent MgO5 square pyramids. The corner-sharing octahedral tilt angles are 0°. There are a spread of Mg–O bond distances ranging from 1.92–2.23 Å. In the fourth Mg site, Mg is bonded to five O atoms to form MgO5 square pyramids that share corners with four MgO6 octahedra, corners with five MgO5 square pyramids, and edges with eight MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are three shorter (2.13 Å) and two longer (2.21 Å) Mg–O bond lengths. In the fifth Mg site, Mg is bonded to six O atoms to form a mixture of edge and corner-sharing MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are a spread of Mg–O bond distances ranging from 2.12–2.20 Å. In the sixth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with two equivalent MgO6 octahedra, corners with two equivalent HfO6 octahedra, corners with two equivalent MgO5 square pyramids, edges with ten MgO6 octahedra, and edges with two equivalent MgO5 square pyramids. The corner-sharing octahedral tilt angles are 0°. There are a spread of Mg–O bond distances ranging from 2.14–2.23 Å. In the seventh Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, an edgeedge with one RbO6 octahedra, an edgeedge with one HfO6 octahedra, edges with seven MgO6 octahedra, and edges with three MgO5 square pyramids. The corner-sharing octahedra tilt angles range from 3–16°. There are a spread of Mg–O bond distances ranging from 2.15–2.22 Å. In the eighth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, edges with nine MgO6 octahedra, and edges with three MgO5 square pyramids. The corner-sharing octahedra tilt angles range from 2–4°. There are two shorter (2.16 Å) and four longer (2.19 Å) Mg–O bond lengths. In the ninth Mg site, Mg is bonded to five O atoms to form MgO5 square pyramids that share corners with four MgO6 octahedra, corners with five MgO5 square pyramids, an edgeedge with one RbO6 octahedra, and edges with seven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 3–13°. There are a spread of Mg–O bond distances ranging from 2.15–2.23 Å. In the tenth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with four MgO6 octahedra, corners with two equivalent MgO5 square pyramids, an edgeedge with one HfO6 octahedra, edges with nine MgO6 octahedra, and edges with two equivalent MgO5 square pyramids. The corner-sharing octahedra tilt angles range from 1–7°. There are a spread of Mg–O bond distances ranging from 2.11–2.24 Å. In the eleventh Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with four MgO6 octahedra, corners with two equivalent MgO5 square pyramids, an edgeedge with one RbO6 octahedra, edges with nine MgO6 octahedra, and edges with two MgO5 square pyramids. The corner-sharing octahedra tilt angles range from 0–11°. There are a spread of Mg–O bond distances ranging from 2.13–2.23 Å. In the twelfth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, an edgeedge with one HfO6 octahedra, and edges with eleven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 1–7°. There are a spread of Mg–O bond distances ranging from 2.11–2.24 Å. In the thirteenth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with four MgO6 octahedra, corners with two equivalent MgO5 square pyramids, an edgeedge with one RbO6 octahedra, edges with nine MgO6 octahedra, and edges with two equivalent MgO5 square pyramids. The corner-sharing octahedra tilt angles range from 0–13°. There are a spread of Mg–O bond distances ranging from 2.14–2.22 Å. In the fourteenth Mg site, Mg is bonded to five O atoms to form MgO5 square pyramids that share corners with four MgO6 octahedra, corners with five MgO5 square pyramids, an edgeedge with one HfO6 octahedra, and edges with seven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 4–7°. There are a spread of Mg–O bond distances ranging from 2.13–2.25 Å. In the fifteenth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, an edgeedge with one RbO6 octahedra, and edges with eleven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–13°. There are a spread of Mg–O bond distances ranging from 2.14–2.23 Å. In the sixteenth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with four MgO6 octahedra, corners with two equivalent MgO5 square pyramids, an edgeedge with one HfO6 octahedra, edges with nine MgO6 octahedra, and edges with two MgO5 square pyramids. The corner-sharing octahedra tilt angles range from 1–5°. There are a spread of Mg–O bond distances ranging from 2.11–2.23 Å. Hf is bonded to six O atoms to form HfO6 octahedra that share corners with four MgO6 octahedra, corners with two equivalent MgO5 square pyramids, edges with ten MgO6 octahedra, and edges with two equivalent MgO5 square pyramids. The corner-sharing octahedral tilt angles are 0°. There are four shorter (2.09 Å) and two longer (2.13 Å) Hf–O bond lengths. There are seventeen inequivalent O sites. In the first O site, O is bonded to one Rb and five Mg atoms to form a mixture of edge and corner-sharing ORbMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. In the second O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six ORbMg5 octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. In the third O site, O is bonded to five Mg and one Hf atom to form a mixture of edge and corner-sharing OHfMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the fourth O site, O is bonded to one Rb and five Mg atoms to form ORbMg5 octahedra that share corners with six ORbMg5 octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. In the fifth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with four ORbMg5 octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 3–6°. In the sixth O site, O is bonded to six Mg atoms to form a mixture of edge and corner-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. In the seventh O site, O is bonded to five Mg and one Hf atom to form OHfMg5 octahedra that share corners with six OHfMg5 octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the eighth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OMg6 octahedra and edges with eleven ORbMg5 octahedra. The corner-sharing octahedra tilt angles range from 2–5°. In the ninth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OMg6 octahedra and edges with twelve ORbMg5 octahedra. The corner-sharing octahedra tilt angles range from 2–5°. In the tenth O site, O is bonded to one Rb and five Mg atoms to form distorted ORbMg5 octahedra that share corners with six OHfMg5 octahedra and edges with eleven ORbMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–11°. In the eleventh O site, O is bonded to five Mg and one Hf atom to form OHfMg5 octahedra that share corners with six OHfMg5 octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–11°. In the twelfth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OMg6 octahedra and edges with eleven ORbMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–8°. In the thirteenth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OHfMg5 octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. In the fourteenth O site, O is bonded to one Rb and five Mg atoms to form distorted ORbMg5 octahedra that share corners with six OHfMg5 octahedra and edges with twelve ORbMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–11°. In the fifteenth O site, O is bonded to five Mg and one Hf atom to form a mixture of edge and corner-sharing OHfMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–11°. In the sixteenth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OMg6 octahedra and edges with twelve ORbMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the seventeenth O site, O is bonded to six Mg atoms to form a mixture of edge and corner-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–6°.

36 MATERIALS SCIENCE↗

Materials Data on Li7Mn4(P2O7)4 by Materials Project

Li7Mn4(P2O7)4 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are fourteen inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.95–2.38 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four PO4 tetrahedra, a cornercorner with one MnO5 trigonal bipyramid, corners with two LiO5 trigonal bipyramids, and an edgeedge with one LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.92–2.00 Å. In the third Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share corners with two LiO4 tetrahedra, corners with five PO4 tetrahedra, an edgeedge with one MnO6 octahedra, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.97–2.41 Å. In the fourth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share corners with two LiO4 tetrahedra, corners with five PO4 tetrahedra, a cornercorner with one MnO5 trigonal bipyramid, and an edgeedge with one MnO6 octahedra. There are a spread of Li–O bond distances ranging from 1.96–2.41 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four PO4 tetrahedra, corners with two LiO5 trigonal bipyramids, and an edgeedge with one LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.91–2.00 Å. In the sixth Li1+ site, Li1+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.86–2.30 Å. In the seventh Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.96–2.27 Å. In the eighth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.90–2.34 Å. In the ninth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four PO4 tetrahedra, corners with two LiO5 trigonal bipyramids, and an edgeedge with one LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.90–2.01 Å. In the tenth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share corners with two LiO4 tetrahedra, corners with five PO4 tetrahedra, a cornercorner with one MnO5 trigonal bipyramid, and an edgeedge with one MnO6 octahedra. There are a spread of Li–O bond distances ranging from 1.96–2.42 Å. In the eleventh Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share corners with two LiO4 tetrahedra, corners with five PO4 tetrahedra, an edgeedge with one MnO6 octahedra, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.96–2.42 Å. In the twelfth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four PO4 tetrahedra, a cornercorner with one MnO5 trigonal bipyramid, corners with two LiO5 trigonal bipyramids, and an edgeedge with one LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.91–2.01 Å. In the thirteenth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 trigonal pyramids that share corners with four PO4 tetrahedra, a cornercorner with one MnO5 trigonal bipyramid, and an edgeedge with one MnO6 octahedra. There are a spread of Li–O bond distances ranging from 1.91–2.21 Å. In the fourteenth Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.90–2.39 Å. There are eight inequivalent Mn+2.25+ sites. In the first Mn+2.25+ site, Mn+2.25+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra, 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 2.13–2.31 Å. In the second Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form distorted MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, corners with five PO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, an edgeedge with one MnO6 octahedra, and an edgeedge with one LiO5 trigonal bipyramid. There are a spread of Mn–O bond distances ranging from 2.14–2.26 Å. In the third Mn+2.25+ site, Mn+2.25+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Mn–O bond distances ranging from 2.12–2.30 Å. In the fourth Mn+2.25+ site, Mn+2.25+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one LiO5 trigonal bipyramid. There are a spread of Mn–O bond distances ranging from 2.04–2.30 Å. In the fifth Mn+2.25+ site, Mn+2.25+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra, an edgeedge with one LiO5 trigonal bipyramid, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Mn–O bond distances ranging from 1.96–2.29 Å. In the sixth Mn+2.25+ site, Mn+2.25+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Mn–O bond distances ranging from 2.12–2.30 Å. In the seventh Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form distorted MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, corners with five PO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one MnO6 octahedra, and an edgeedge with one LiO5 trigonal bipyramid. There are a spread of Mn–O bond distances ranging from 2.11–2.22 Å. In the eighth Mn+2.25+ site, Mn+2.25+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra, 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 2.13–2.24 Å. There are sixteen inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one PO4 tetrahedra, a cornercorner with one MnO5 trigonal bipyramid, and corners with two LiO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 54°. There are a spread of P–O bond distances ranging from 1.49–1.61 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one PO4 tetrahedra, corners with two LiO4 tetrahedra, and corners with three LiO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 42°. There are a spread of P–O bond distances ranging from 1.51–1.62 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one PO4 tetrahedra, corners with two LiO4 tetrahedra, and a cornercorner with one MnO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 58°. There are a spread of P–O bond distances ranging from 1.51–1.61 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three MnO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 24–55°. There are a spread of P–O bond distances ranging from 1.52–1.63 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three MnO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 32–48°. There are a spread of P–O bond distances ranging from 1.52–1.62 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one PO4 tetrahedra, corners with two LiO4 tetrahedra, and a cornercorner with one MnO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 54°. There are a spread of P–O bond distances ranging from 1.51–1.61 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one PO4 tetrahedra, a cornercorner with one MnO5 trigonal bipyramid, and corners with two LiO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 54°. There are a spread of P–O bond distances ranging from 1.52–1.62 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one PO4 tetrahedra, corners with two LiO4 tetrahedra, a cornercorner with one MnO5 trigonal bipyramid, and corners with three LiO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 41°. There are a spread of P–O bond distances ranging from 1.51–1.62 Å. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one PO4 tetrahedra, corners with two LiO4 tetrahedra, a cornercorner with one MnO5 trigonal bipyramid, and corners with three LiO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 41°. There are a spread of P–O bond distances ranging from 1.51–1.62 Å. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one PO4 tetrahedra, a cornercorner with one MnO5 trigonal bipyramid, and corners with two LiO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 55°. There are a spread of P–O bond distances ranging from 1.49–1.62 Å. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one PO4 tetrahedra, corners with two LiO4 tetrahedra, a cornercorner with one MnO5 trigonal bipyramid, and a cornercorner with one LiO4 trigonal pyramid. The corner-sharing octahedral tilt angles are 54°. There are a spread of P–O bond distances ranging from 1.51–1.63 Å. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three MnO6 octahedra, a cornercorner with one PO4 tetrahedra, and a cornercorner with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 32–53°. There are a spread of P–O bond distances ranging from 1.53–1.61 Å. In the thirteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three MnO6 octahedra, a cornercorner with one PO4 tetrahedra, and a cornercorner with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 30–56°. There are a spread of P–O bond distances ranging from 1.52–1.63 Å. In the fourteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one PO4 tetrahedra, corners with two LiO4 tetrahedra, and a cornercorner with one MnO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 58°. There are a spread of P–O bond distances ranging from 1.51–1.62 Å. In the fifteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one PO4 tetrahedra, corners with two LiO4 tetrahedra, and corners with three LiO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 41°. There are a spread of P–O bond distances ranging from 1.51–1.63 Å. In the sixteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one PO4 tetrahedr

36 MATERIALS SCIENCE↗

Materials Data on SmBC by Materials Project

SmBC crystallizes in the orthorhombic P2_12_12_1 space group. The structure is three-dimensional. there are five inequivalent Sm sites. In the first Sm site, Sm is bonded in a 10-coordinate geometry to five B and five C atoms. There are a spread of Sm–B bond distances ranging from 2.87–2.99 Å. There are a spread of Sm–C bond distances ranging from 2.51–2.83 Å. In the second Sm site, Sm is bonded in a 11-coordinate geometry to five B and six C atoms. There are a spread of Sm–B bond distances ranging from 2.61–2.98 Å. There are a spread of Sm–C bond distances ranging from 2.56–3.07 Å. In the third Sm site, Sm is bonded in a 2-coordinate geometry to six B and four C atoms. There are a spread of Sm–B bond distances ranging from 2.73–2.83 Å. There are a spread of Sm–C bond distances ranging from 2.65–2.71 Å. In the fourth Sm site, Sm is bonded in a 11-coordinate geometry to six B and five C atoms. There are a spread of Sm–B bond distances ranging from 2.69–2.93 Å. There are a spread of Sm–C bond distances ranging from 2.56–3.00 Å. In the fifth Sm site, Sm is bonded in a 9-coordinate geometry to four B and five C atoms. There are a spread of Sm–B bond distances ranging from 2.73–2.93 Å. There are a spread of Sm–C bond distances ranging from 2.54–2.95 Å. There are five inequivalent B sites. In the first B site, B is bonded in a distorted single-bond geometry to five Sm and one C atom. The B–C bond length is 1.49 Å. In the second B site, B is bonded in a bent 150 degrees geometry to five Sm and two C atoms. There is one shorter (1.47 Å) and one longer (1.49 Å) B–C bond length. In the third B site, B is bonded in a distorted single-bond geometry to six Sm and one C atom. The B–C bond length is 1.51 Å. In the fourth B site, B is bonded in a bent 150 degrees geometry to five Sm and two C atoms. There is one shorter (1.48 Å) and one longer (1.49 Å) B–C bond length. In the fifth B site, B is bonded in a bent 150 degrees geometry to five Sm and two C atoms. There is one shorter (1.47 Å) and one longer (1.49 Å) B–C bond length. There are five inequivalent C sites. In the first C site, C is bonded in a distorted octahedral geometry to five Sm and one B atom. In the second C site, C is bonded in a 1-coordinate geometry to five Sm and one B atom. In the third C site, C is bonded in a distorted bent 150 degrees geometry to five Sm and two B atoms. In the fourth C site, C is bonded in a distorted bent 150 degrees geometry to five Sm and two B atoms. In the fifth C site, C is bonded in a distorted bent 150 degrees geometry to five Sm and two B atoms.

36 MATERIALS SCIENCE↗

Materials Data on Li7Mn4(P2O7)4 by Materials Project

Li7Mn4(P2O7)4 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are fourteen inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.97–2.35 Å. In the second Li1+ site, Li1+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.91–2.24 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four PO4 tetrahedra, a cornercorner with one MnO5 trigonal bipyramid, and an edgeedge with one LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.94–1.99 Å. In the fourth Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.98–2.45 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four PO4 tetrahedra and an edgeedge with one LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.86–2.02 Å. In the sixth Li1+ site, Li1+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.87–2.31 Å. In the seventh Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.96–2.33 Å. In the eighth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share corners with five PO4 tetrahedra, a cornercorner with one MnO5 trigonal bipyramid, and an edgeedge with one MnO6 octahedra. There are a spread of Li–O bond distances ranging from 1.90–2.62 Å. In the ninth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four PO4 tetrahedra, a cornercorner with one MnO5 trigonal bipyramid, corners with two LiO5 trigonal bipyramids, and an edgeedge with one LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.91–2.01 Å. In the tenth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share corners with two LiO4 tetrahedra, corners with five PO4 tetrahedra, a cornercorner with one MnO5 trigonal bipyramid, an edgeedge with one MnO6 octahedra, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.95–2.44 Å. In the eleventh Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share corners with two LiO4 tetrahedra, corners with five PO4 tetrahedra, a cornercorner with one MnO5 trigonal bipyramid, an edgeedge with one MnO6 octahedra, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.96–2.41 Å. In the twelfth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four PO4 tetrahedra, a cornercorner with one MnO5 trigonal bipyramid, corners with two LiO5 trigonal bipyramids, and an edgeedge with one LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.92–2.01 Å. In the thirteenth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four PO4 tetrahedra, a cornercorner with one MnO5 trigonal bipyramid, and an edgeedge with one MnO6 octahedra. There are a spread of Li–O bond distances ranging from 1.96–2.08 Å. In the fourteenth Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.96–2.31 Å. There are eight inequivalent Mn+2.25+ sites. In the first Mn+2.25+ site, Mn+2.25+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Mn–O bond distances ranging from 2.10–2.39 Å. In the second Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form distorted MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, corners with five PO4 tetrahedra, and an edgeedge with one MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 2.08–2.21 Å. In the third Mn+2.25+ site, Mn+2.25+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Mn–O bond distances ranging from 2.04–2.27 Å. In the fourth Mn+2.25+ site, Mn+2.25+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 2.16–2.34 Å. In the fifth Mn+2.25+ site, Mn+2.25+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, 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 2.04–2.31 Å. In the sixth Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form distorted MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, corners with five PO4 tetrahedra, corners with two LiO5 trigonal bipyramids, an edgeedge with one MnO6 octahedra, and an edgeedge with one LiO5 trigonal bipyramid. There are a spread of Mn–O bond distances ranging from 2.15–2.28 Å. In the seventh Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form distorted MnO5 trigonal bipyramids that share corners with two LiO4 tetrahedra, corners with five PO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, an edgeedge with one MnO6 octahedra, and an edgeedge with one LiO5 trigonal bipyramid. There are a spread of Mn–O bond distances ranging from 2.12–2.23 Å. In the eighth Mn+2.25+ site, Mn+2.25+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra, an edgeedge with one MnO5 trigonal bipyramid, and edges with two LiO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.12–2.23 Å. There are sixteen inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one PO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, and corners with two MnO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 54°. There are a spread of P–O bond distances ranging from 1.52–1.60 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one PO4 tetrahedra, corners with two LiO4 tetrahedra, and a cornercorner with one LiO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 36°. There are a spread of P–O bond distances ranging from 1.51–1.64 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one PO4 tetrahedra, corners with two LiO4 tetrahedra, and a cornercorner with one MnO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 57°. There are a spread of P–O bond distances ranging from 1.51–1.62 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three MnO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 32–55°. There are a spread of P–O bond distances ranging from 1.53–1.62 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three MnO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 34–51°. There are a spread of P–O bond distances ranging from 1.52–1.62 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one PO4 tetrahedra, corners with two LiO4 tetrahedra, and corners with two MnO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 56°. There are a spread of P–O bond distances ranging from 1.51–1.62 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one PO4 tetrahedra, corners with two LiO5 trigonal bipyramids, and corners with two MnO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 51°. There are a spread of P–O bond distances ranging from 1.52–1.60 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one PO4 tetrahedra, corners with two LiO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, and a cornercorner with one MnO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 39°. There are a spread of P–O bond distances ranging from 1.51–1.62 Å. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one PO4 tetrahedra, corners with two LiO4 tetrahedra, a cornercorner with one MnO5 trigonal bipyramid, and corners with two LiO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 41°. There are a spread of P–O bond distances ranging from 1.49–1.64 Å. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one PO4 tetrahedra, a cornercorner with one MnO5 trigonal bipyramid, and corners with two LiO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 55°. There are a spread of P–O bond distances ranging from 1.50–1.62 Å. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one PO4 tetrahedra, corners with three LiO4 tetrahedra, and a cornercorner with one MnO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 58°. There are a spread of P–O bond distances ranging from 1.51–1.63 Å. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three MnO6 octahedra, a cornercorner with one LiO4 tetrahedra, a cornercorner with one PO4 tetrahedra, and a cornercorner with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 31–57°. There are a spread of P–O bond distances ranging from 1.53–1.62 Å. In the thirteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three MnO6 octahedra, a cornercorner with one LiO4 tetrahedra, a cornercorner with one PO4 tetrahedra, and a cornercorner with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 33–54°. There are a spread of P–O bond distances ranging from 1.52–1.63 Å. In the fourteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one PO4 tetrahedra, corners with two LiO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, and corners with two MnO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 57°. There are a spread of P–O bond distances ranging from 1.51–1.62 Å. In the fifteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one PO4 tetrahedra, corners with two LiO4 tetrahedra, a cornercorner with one MnO5 trigonal bipyramid, and corners with two LiO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 40°. There are a spread of P–O bond distances ranging from 1.51–1.63 Å. In the sixteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one LiO4 tetra

36 MATERIALS SCIENCE↗

Materials Data on Li12Mo5O17 by Materials Project

Li12Mo5O17 is Caswellsilverite-like structured and crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are twelve inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two MoO6 octahedra, corners with four LiO6 octahedra, edges with four MoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–10°. There are a spread of Li–O bond distances ranging from 2.08–2.39 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two MoO6 octahedra, corners with four LiO6 octahedra, edges with four MoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–10°. There are a spread of Li–O bond distances ranging from 2.06–2.37 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two MoO6 octahedra, corners with four LiO6 octahedra, edges with four MoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–13°. There are a spread of Li–O bond distances ranging from 2.09–2.32 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three LiO6 octahedra, corners with three MoO6 octahedra, edges with three MoO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–10°. There are a spread of Li–O bond distances ranging from 2.10–2.34 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two MoO6 octahedra, corners with four LiO6 octahedra, edges with three MoO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–14°. There are a spread of Li–O bond distances ranging from 2.07–2.25 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with two MoO6 octahedra, corners with four LiO6 octahedra, edges with five MoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 1–17°. There are a spread of Li–O bond distances ranging from 1.97–2.44 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two MoO6 octahedra, corners with four LiO6 octahedra, edges with five MoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 0–18°. There are a spread of Li–O bond distances ranging from 2.02–2.34 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two MoO6 octahedra, corners with four LiO6 octahedra, edges with five MoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–18°. There are a spread of Li–O bond distances ranging from 2.09–2.42 Å. In the ninth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three LiO6 octahedra, corners with three MoO6 octahedra, edges with three MoO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–17°. There are a spread of Li–O bond distances ranging from 2.01–2.32 Å. In the tenth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one MoO6 octahedra, corners with five LiO6 octahedra, edges with four MoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–15°. There are a spread of Li–O bond distances ranging from 2.03–2.31 Å. In the eleventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one MoO6 octahedra, corners with five LiO6 octahedra, edges with four MoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–13°. There are a spread of Li–O bond distances ranging from 2.08–2.40 Å. In the twelfth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two MoO6 octahedra, corners with four LiO6 octahedra, edges with three MoO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–10°. There are a spread of Li–O bond distances ranging from 2.09–2.24 Å. There are five inequivalent Mo+4.40+ sites. In the first Mo+4.40+ site, Mo+4.40+ is bonded to six O2- atoms to form MoO6 octahedra that share a cornercorner with one MoO6 octahedra, corners with five LiO6 octahedra, edges with three MoO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–9°. There are a spread of Mo–O bond distances ranging from 1.97–2.17 Å. In the second Mo+4.40+ site, Mo+4.40+ is bonded to six O2- atoms to form MoO6 octahedra that share a cornercorner with one MoO6 octahedra, corners with five LiO6 octahedra, edges with two MoO6 octahedra, and edges with ten LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–10°. There are a spread of Mo–O bond distances ranging from 1.84–2.15 Å. In the third Mo+4.40+ site, Mo+4.40+ is bonded to six O2- atoms to form MoO6 octahedra that share a cornercorner with one MoO6 octahedra, corners with five LiO6 octahedra, edges with three MoO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–11°. There are a spread of Mo–O bond distances ranging from 1.94–2.16 Å. In the fourth Mo+4.40+ site, Mo+4.40+ is bonded to six O2- atoms to form MoO6 octahedra that share a cornercorner with one MoO6 octahedra, corners with five LiO6 octahedra, edges with two MoO6 octahedra, and edges with ten LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–12°. There are a spread of Mo–O bond distances ranging from 1.85–2.19 Å. In the fifth Mo+4.40+ site, Mo+4.40+ is bonded to six O2- atoms to form MoO6 octahedra that share corners with two MoO6 octahedra, corners with four LiO6 octahedra, edges with three MoO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 0–9°. There are a spread of Mo–O bond distances ranging from 1.94–2.18 Å. There are seventeen inequivalent O2- sites. In the first O2- site, O2- is bonded to five Li1+ and one Mo+4.40+ atom to form a mixture of edge and corner-sharing OLi5Mo octahedra. The corner-sharing octahedra tilt angles range from 2–12°. In the second O2- site, O2- is bonded to four Li1+ and two Mo+4.40+ atoms to form a mixture of edge and corner-sharing OLi4Mo2 octahedra. The corner-sharing octahedra tilt angles range from 3–12°. In the third O2- site, O2- is bonded to three Li1+ and three Mo+4.40+ atoms to form OLi3Mo3 octahedra that share corners with six OLi4Mo2 octahedra and edges with twelve OLi5Mo octahedra. The corner-sharing octahedra tilt angles range from 4–10°. In the fourth O2- site, O2- is bonded to four Li1+ and two Mo+4.40+ atoms to form a mixture of edge and corner-sharing OLi4Mo2 octahedra. The corner-sharing octahedra tilt angles range from 1–20°. In the fifth O2- site, O2- is bonded to three Li1+ and three Mo+4.40+ atoms to form a mixture of edge and corner-sharing OLi3Mo3 octahedra. The corner-sharing octahedra tilt angles range from 1–12°. In the sixth O2- site, O2- is bonded to four Li1+ and two Mo+4.40+ atoms to form OLi4Mo2 octahedra that share corners with six OLi3Mo3 octahedra and edges with twelve OLi5Mo octahedra. The corner-sharing octahedra tilt angles range from 0–20°. In the seventh O2- site, O2- is bonded to five Li1+ and one Mo+4.40+ atom to form OLi5Mo octahedra that share corners with six OLi4Mo2 octahedra and edges with twelve OLi5Mo octahedra. The corner-sharing octahedra tilt angles range from 4–10°. In the eighth O2- site, O2- is bonded to four Li1+ and two Mo+4.40+ atoms to form a mixture of edge and corner-sharing OLi4Mo2 octahedra. The corner-sharing octahedra tilt angles range from 7–19°. In the ninth O2- site, O2- is bonded to five Li1+ and one Mo+4.40+ atom to form a mixture of edge and corner-sharing OLi5Mo octahedra. The corner-sharing octahedra tilt angles range from 3–14°. In the tenth O2- site, O2- is bonded to four Li1+ and two Mo+4.40+ atoms to form OLi4Mo2 octahedra that share corners with six OLi4Mo2 octahedra and edges with twelve OLi5Mo octahedra. The corner-sharing octahedra tilt angles range from 3–17°. In the eleventh O2- site, O2- is bonded to five Li1+ and one Mo+4.40+ atom to form a mixture of edge and corner-sharing OLi5Mo octahedra. The corner-sharing octahedra tilt angles range from 0–11°. In the twelfth O2- site, O2- is bonded to three Li1+ and three Mo+4.40+ atoms to form a mixture of edge and corner-sharing OLi3Mo3 octahedra. The corner-sharing octahedra tilt angles range from 0–8°. In the thirteenth O2- site, O2- is bonded to four Li1+ and two Mo+4.40+ atoms to form OLi4Mo2 octahedra that share corners with six OLi3Mo3 octahedra and edges with twelve OLi5Mo octahedra. The corner-sharing octahedra tilt angles range from 3–14°. In the fourteenth O2- site, O2- is bonded to five Li1+ and one Mo+4.40+ atom to form OLi5Mo octahedra that share corners with six OLi5Mo octahedra and edges with twelve OLi4Mo2 octahedra. The corner-sharing octahedra tilt angles range from 3–13°. In the fifteenth O2- site, O2- is bonded to five Li1+ and one Mo+4.40+ atom to form a mixture of edge and corner-sharing OLi5Mo octahedra. The corner-sharing octahedra tilt angles range from 4–9°. In the sixteenth O2- site, O2- is bonded to five Li1+ and one Mo+4.40+ atom to form OLi5Mo octahedra that share corners with six OLi4Mo2 octahedra and edges with twelve OLi5Mo octahedra. The corner-sharing octahedra tilt angles range from 0–13°. In the seventeenth O2- site, O2- is bonded to four Li1+ and two equivalent Mo+4.40+ atoms to form a mixture of edge and corner-sharing OLi4Mo2 octahedra. The corner-sharing octahedra tilt angles range from 3–19°.

36 MATERIALS SCIENCE↗

Materials Data on Tl3(V3S4)8 by Materials Project

Tl3(V3S4)8 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twenty-four inequivalent V+2.54+ sites. In the first V+2.54+ site, V+2.54+ is bonded in a distorted see-saw-like geometry to four S2- atoms. There are a spread of V–S bond distances ranging from 2.29–2.34 Å. In the second V+2.54+ site, V+2.54+ is bonded in a 4-coordinate geometry to four S2- atoms. There are a spread of V–S bond distances ranging from 2.18–2.38 Å. In the third V+2.54+ site, V+2.54+ is bonded to six S2- atoms to form VS6 octahedra that share corners with three VS6 octahedra, corners with three VS5 trigonal bipyramids, an edgeedge with one VS5 trigonal bipyramid, and a faceface with one VS6 octahedra. The corner-sharing octahedra tilt angles range from 25–36°. There are a spread of V–S bond distances ranging from 2.37–2.63 Å. In the fourth V+2.54+ site, V+2.54+ is bonded to five S2- atoms to form VS5 trigonal bipyramids that share corners with four VS6 octahedra, corners with two VS5 trigonal bipyramids, an edgeedge with one VS6 octahedra, and a faceface with one VS6 octahedra. The corner-sharing octahedra tilt angles range from 49–60°. There are a spread of V–S bond distances ranging from 2.26–2.44 Å. In the fifth V+2.54+ site, V+2.54+ is bonded to six S2- atoms to form VS6 octahedra that share a cornercorner with one VS6 octahedra, corners with five VS5 trigonal bipyramids, edges with two VS6 octahedra, an edgeedge with one VS5 trigonal bipyramid, and a faceface with one VS6 octahedra. The corner-sharing octahedral tilt angles are 36°. There are a spread of V–S bond distances ranging from 2.35–2.71 Å. In the sixth V+2.54+ site, V+2.54+ is bonded to six S2- atoms to form distorted VS6 octahedra that share corners with two VS6 octahedra, corners with three VS5 trigonal bipyramids, edges with three VS6 octahedra, and edges with two VS5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 25–42°. There are a spread of V–S bond distances ranging from 2.29–2.85 Å. In the seventh V+2.54+ site, V+2.54+ is bonded to six S2- atoms to form VS6 octahedra that share corners with two VS6 octahedra, corners with four VS5 trigonal bipyramids, an edgeedge with one VS6 octahedra, an edgeedge with one VS5 trigonal bipyramid, and a faceface with one VS5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 36–50°. There are a spread of V–S bond distances ranging from 2.34–2.56 Å. In the eighth V+2.54+ site, V+2.54+ is bonded to five S2- atoms to form VS5 trigonal bipyramids that share corners with four VS6 octahedra, corners with three VS5 trigonal bipyramids, and a faceface with one VS6 octahedra. The corner-sharing octahedra tilt angles range from 44–59°. There are a spread of V–S bond distances ranging from 2.25–2.44 Å. In the ninth V+2.54+ site, V+2.54+ is bonded to six S2- atoms to form distorted VS6 octahedra that share corners with three VS6 octahedra, corners with three VS5 trigonal bipyramids, an edgeedge with one VS5 trigonal bipyramid, faces with two VS6 octahedra, and a faceface with one VS5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 42–52°. There are a spread of V–S bond distances ranging from 2.32–2.84 Å. In the tenth V+2.54+ site, V+2.54+ is bonded to five S2- atoms to form distorted VS5 trigonal bipyramids that share corners with three VS6 octahedra, corners with two VS5 trigonal bipyramids, an edgeedge with one VS6 octahedra, an edgeedge with one VS5 trigonal bipyramid, and faces with two VS6 octahedra. The corner-sharing octahedra tilt angles range from 49–50°. There are a spread of V–S bond distances ranging from 2.29–2.43 Å. In the eleventh V+2.54+ site, V+2.54+ is bonded to five S2- atoms to form VS5 trigonal bipyramids that share corners with four VS6 octahedra, a cornercorner with one VS5 square pyramid, a cornercorner with one VS5 trigonal bipyramid, edges with three VS6 octahedra, and edges with two VS5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 2–63°. There are a spread of V–S bond distances ranging from 2.31–2.58 Å. In the twelfth V+2.54+ site, V+2.54+ is bonded to five S2- atoms to form VS5 trigonal bipyramids that share corners with three VS6 octahedra, a cornercorner with one VS5 square pyramid, corners with four VS5 trigonal bipyramids, edges with two VS6 octahedra, and an edgeedge with one VS5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 11–49°. There are a spread of V–S bond distances ranging from 2.25–2.47 Å. In the thirteenth V+2.54+ site, V+2.54+ is bonded in a 5-coordinate geometry to five S2- atoms. There are a spread of V–S bond distances ranging from 2.22–2.94 Å. In the fourteenth V+2.54+ site, V+2.54+ is bonded to six S2- atoms to form VS6 octahedra that share corners with two VS6 octahedra, a cornercorner with one VS5 square pyramid, corners with three VS5 trigonal bipyramids, edges with two VS6 octahedra, an edgeedge with one VS5 trigonal bipyramid, a faceface with one VS6 octahedra, and a faceface with one VS5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 22–34°. There are a spread of V–S bond distances ranging from 2.42–2.64 Å. In the fifteenth V+2.54+ site, V+2.54+ is bonded to five S2- atoms to form VS5 trigonal bipyramids that share corners with five VS6 octahedra, a cornercorner with one VS5 square pyramid, a cornercorner with one VS5 trigonal bipyramid, an edgeedge with one VS6 octahedra, and edges with two VS5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 40–74°. There are a spread of V–S bond distances ranging from 2.31–2.50 Å. In the sixteenth V+2.54+ site, V+2.54+ is bonded in a 6-coordinate geometry to six S2- atoms. There are a spread of V–S bond distances ranging from 2.37–2.77 Å. In the seventeenth V+2.54+ site, V+2.54+ is bonded to five S2- atoms to form VS5 trigonal bipyramids that share corners with two VS6 octahedra, a cornercorner with one VS5 square pyramid, a cornercorner with one VS5 trigonal bipyramid, and a faceface with one VS6 octahedra. The corner-sharing octahedra tilt angles range from 45–46°. There are a spread of V–S bond distances ranging from 2.32–2.46 Å. In the eighteenth V+2.54+ site, V+2.54+ is bonded to six S2- atoms to form distorted VS6 octahedra that share corners with four VS6 octahedra, corners with two VS5 trigonal bipyramids, an edgeedge with one VS5 square pyramid, and a faceface with one VS5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 34–56°. There are a spread of V–S bond distances ranging from 2.28–2.92 Å. In the nineteenth V+2.54+ site, V+2.54+ is bonded to six S2- atoms to form VS6 octahedra that share corners with two VS6 octahedra, a cornercorner with one VS5 square pyramid, corners with four VS5 trigonal bipyramids, and a faceface with one VS6 octahedra. The corner-sharing octahedra tilt angles range from 56–58°. There are a spread of V–S bond distances ranging from 2.37–2.53 Å. In the twentieth V+2.54+ site, V+2.54+ is bonded to six S2- atoms to form VS6 octahedra that share corners with five VS6 octahedra, a cornercorner with one VS5 square pyramid, a cornercorner with one VS5 trigonal bipyramid, edges with three VS5 trigonal bipyramids, and a faceface with one VS5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 22–58°. There are a spread of V–S bond distances ranging from 2.34–2.59 Å. In the twenty-first V+2.54+ site, V+2.54+ is bonded to five S2- atoms to form distorted VS5 square pyramids that share corners with three VS6 octahedra, corners with four VS5 trigonal bipyramids, and an edgeedge with one VS6 octahedra. The corner-sharing octahedra tilt angles range from 45–59°. There are a spread of V–S bond distances ranging from 2.26–2.64 Å. In the twenty-second V+2.54+ site, V+2.54+ is bonded to five S2- atoms to form VS5 trigonal bipyramids that share corners with three VS6 octahedra, corners with two VS5 trigonal bipyramids, and edges with two VS6 octahedra. The corner-sharing octahedra tilt angles range from 36–45°. There are a spread of V–S bond distances ranging from 2.21–2.49 Å. In the twenty-third V+2.54+ site, V+2.54+ is bonded in a 4-coordinate geometry to four S2- atoms. There are a spread of V–S bond distances ranging from 2.25–2.48 Å. In the twenty-fourth V+2.54+ site, V+2.54+ is bonded in a 6-coordinate geometry to six S2- atoms. There are a spread of V–S bond distances ranging from 2.39–2.66 Å. There are three inequivalent Tl1+ sites. In the first Tl1+ site, Tl1+ is bonded in a 3-coordinate geometry to three S2- atoms. There are one shorter (2.82 Å) and two longer (3.14 Å) Tl–S bond lengths. In the second Tl1+ site, Tl1+ is bonded in a 6-coordinate geometry to six S2- atoms. There are a spread of Tl–S bond distances ranging from 2.94–3.27 Å. In the third Tl1+ site, Tl1+ is bonded in a 7-coordinate geometry to seven S2- atoms. There are a spread of Tl–S bond distances ranging from 2.85–3.46 Å. There are thirty-two inequivalent S2- sites. In the first S2- site, S2- is bonded in a distorted pentagonal planar geometry to five V+2.54+ atoms. In the second S2- site, S2- is bonded in a 4-coordinate geometry to four V+2.54+ atoms. In the third S2- site, S2- is bonded in a distorted see-saw-like geometry to four V+2.54+ atoms. In the fourth S2- site, S2- is bonded in a 4-coordinate geometry to four V+2.54+ atoms. In the fifth S2- site, S2- is bonded in a 4-coordinate geometry to four V+2.54+ atoms. In the sixth S2- site, S2- is bonded in a 3-coordinate geometry to three V+2.54+ and one Tl1+ atom. In the seventh S2- site, S2- is bonded in a 3-coordinate geometry to three V+2.54+ and one Tl1+ atom. In the eighth S2- site, S2- is bonded in a 4-coordinate geometry to three V+2.54+ and one Tl1+ atom. In the ninth S2- site, S2- is bonded in a 5-coordinate geometry to four V+2.54+ and one Tl1+ atom. In the tenth S2- site, S2- is bonded in a 4-coordinate geometry to four V+2.54+ atoms. In the eleventh S2- site, S2- is bonded in a 4-coordinate geometry to four V+2.54+ and one Tl1+ atom. In the twelfth S2- site, S2- is bonded in a 4-coordinate geometry to four V+2.54+ atoms. In the thirteenth S2- site, S2- is bonded in a 4-coordinate geometry to four V+2.54+ atoms. In the fourteenth S2- site, S2- is bonded in a 4-coordinate geometry to three V+2.54+ and one Tl1+ atom. In the fifteenth S2- site, S2- is bonded in a 4-coordinate geometry to four V+2.54+ and one Tl1+ atom. In the sixteenth S2- site, S2- is bonded in a 6-coordinate geometry to five V+2.54+ and one Tl1+ atom. In the seventeenth S2- site, S2- is bonded in a 6-coordinate geometry to five V+2.54+ and one Tl1+ atom. In the eighteenth S2- site, S2- is bonded in a 4-coordinate geometry to four V+2.54+ and one Tl1+ atom. In the nineteenth S2- site, S2- is bonded in a 4-coordinate geometry to three V+2.54+ and one Tl1+ atom. In the twentieth S2- site, S2- is bonded in a 4-coordinate geometry to four V+2.54+ atoms. In the twenty-first S2- site, S2- is bonded in a 4-coordinate geometry to four V+2.54+ atoms. In the twenty-second S2- site, S2- is bonded in a 1-coordinate geometry to four V+2.54+ and one Tl1+ atom. In the twenty-third S2- site, S2- is bonded in a 5-coordinate geometry to five V+2.54+ atoms. In the twenty-fourth S2- site, S2- is bonded in a 4-coordinate geometry to four V+2.54+ and one Tl1+ atom. In the twenty-fifth S2- site, S2- is bonded in a 4-coordinate geometry to four V+2.54+ atoms. In the twenty-sixth S2- site, S2- is bonded in a 4-coordinate geometry to three V+2.54+ and one Tl1+ atom. In the twenty-seventh S2- site, S2- is bonded in a 4-coordinate geometry to four V+2.54+ atoms. In the twenty-eighth S2- site, S2- is bonded in a 4-coordinate geometry to four V+2.54+ and one Tl1+ atom. In the twenty-ninth S2- site, S2- is bonded in a 4-coordinate geometry to four V+2.54+ atoms. In the thirtieth S2- site, S2- is bonded in a 5-coordinate geometry t

36 MATERIALS SCIENCE↗

Materials Data on Li11(MoO2)12 by Materials Project

Li11(MoO2)12 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are seven inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six MoO6 octahedra, edges with five LiO6 octahedra, and edges with six MoO6 octahedra. The corner-sharing octahedra tilt angles range from 2–12°. There are a spread of Li–O bond distances ranging from 2.19–2.40 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six MoO6 octahedra, edges with six LiO6 octahedra, and edges with six MoO6 octahedra. The corner-sharing octahedra tilt angles range from 3–9°. There are a spread of Li–O bond distances ranging from 2.22–2.31 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six MoO6 octahedra, edges with six LiO6 octahedra, and edges with six MoO6 octahedra. The corner-sharing octahedra tilt angles range from 2–10°. There are a spread of Li–O bond distances ranging from 2.22–2.28 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six MoO6 octahedra, edges with five LiO6 octahedra, and edges with six MoO6 octahedra. The corner-sharing octahedra tilt angles range from 3–11°. There are a spread of Li–O bond distances ranging from 2.11–2.47 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six MoO6 octahedra, edges with five LiO6 octahedra, and edges with six MoO6 octahedra. The corner-sharing octahedra tilt angles range from 1–12°. There are a spread of Li–O bond distances ranging from 2.14–2.49 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six MoO6 octahedra, edges with six LiO6 octahedra, and edges with six MoO6 octahedra. The corner-sharing octahedra tilt angles range from 5–6°. There are a spread of Li–O bond distances ranging from 2.22–2.35 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six MoO6 octahedra, edges with six LiO6 octahedra, and edges with six MoO6 octahedra. The corner-sharing octahedra tilt angles range from 3–5°. There are a spread of Li–O bond distances ranging from 2.16–2.34 Å. There are six inequivalent Mo+3.08+ sites. In the first Mo+3.08+ site, Mo+3.08+ is bonded to six O2- atoms to form MoO6 octahedra that share corners with five LiO6 octahedra, edges with six LiO6 octahedra, and edges with six MoO6 octahedra. The corner-sharing octahedra tilt angles range from 3–6°. There are a spread of Mo–O bond distances ranging from 2.12–2.22 Å. In the second Mo+3.08+ site, Mo+3.08+ is bonded to six O2- atoms to form MoO6 octahedra that share corners with five LiO6 octahedra, edges with five LiO6 octahedra, and edges with six MoO6 octahedra. The corner-sharing octahedra tilt angles range from 5–12°. There are a spread of Mo–O bond distances ranging from 2.14–2.21 Å. In the third Mo+3.08+ site, Mo+3.08+ is bonded to six O2- atoms to form MoO6 octahedra that share corners with five LiO6 octahedra, edges with six LiO6 octahedra, and edges with six MoO6 octahedra. The corner-sharing octahedra tilt angles range from 2–11°. There are a spread of Mo–O bond distances ranging from 2.13–2.21 Å. In the fourth Mo+3.08+ site, Mo+3.08+ is bonded to six O2- atoms to form MoO6 octahedra that share corners with six LiO6 octahedra, edges with five LiO6 octahedra, and edges with six MoO6 octahedra. The corner-sharing octahedra tilt angles range from 3–12°. There are a spread of Mo–O bond distances ranging from 2.17–2.21 Å. In the fifth Mo+3.08+ site, Mo+3.08+ is bonded to six O2- atoms to form MoO6 octahedra that share corners with six LiO6 octahedra, edges with five LiO6 octahedra, and edges with six MoO6 octahedra. The corner-sharing octahedra tilt angles range from 5–11°. There are a spread of Mo–O bond distances ranging from 2.17–2.23 Å. In the sixth Mo+3.08+ site, Mo+3.08+ is bonded to six O2- atoms to form MoO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six MoO6 octahedra. The corner-sharing octahedra tilt angles range from 1–6°. There are a spread of Mo–O bond distances ranging from 2.12–2.17 Å. There are twelve inequivalent O2- sites. In the first O2- site, O2- is bonded to two Li1+ and three Mo+3.08+ atoms to form OLi2Mo3 square pyramids that share corners with four OLi3Mo3 octahedra, corners with five OLi2Mo3 square pyramids, and edges with eight OLi3Mo3 octahedra. The corner-sharing octahedra tilt angles range from 2–10°. In the second O2- site, O2- is bonded to three Li1+ and three Mo+3.08+ atoms to form OLi3Mo3 octahedra that share corners with four OLi3Mo3 octahedra, corners with two OLi2Mo3 square pyramids, edges with ten OLi3Mo3 octahedra, and edges with two equivalent OLi2Mo3 square pyramids. The corner-sharing octahedra tilt angles range from 0–3°. In the third O2- site, O2- is bonded to three Li1+ and three Mo+3.08+ atoms to form OLi3Mo3 octahedra that share corners with four OLi3Mo3 octahedra, corners with two OLi2Mo3 square pyramids, edges with ten OLi3Mo3 octahedra, and edges with two OLi2Mo3 square pyramids. The corner-sharing octahedra tilt angles range from 0–4°. In the fourth O2- site, O2- is bonded to three Li1+ and three Mo+3.08+ atoms to form OLi3Mo3 octahedra that share corners with four OLi3Mo3 octahedra, corners with two OLi2Mo3 square pyramids, edges with ten OLi3Mo3 octahedra, and edges with two OLi2Mo3 square pyramids. The corner-sharing octahedra tilt angles range from 0–4°. In the fifth O2- site, O2- is bonded to three Li1+ and three Mo+3.08+ atoms to form OLi3Mo3 octahedra that share corners with four OLi3Mo3 octahedra, corners with two OLi2Mo3 square pyramids, edges with eleven OLi3Mo3 octahedra, and an edgeedge with one OLi2Mo3 square pyramid. The corner-sharing octahedra tilt angles range from 0–4°. In the sixth O2- site, O2- is bonded to two Li1+ and three Mo+3.08+ atoms to form OLi2Mo3 square pyramids that share corners with four OLi3Mo3 octahedra, corners with five OLi2Mo3 square pyramids, edges with seven OLi3Mo3 octahedra, and an edgeedge with one OLi2Mo3 square pyramid. The corner-sharing octahedra tilt angles range from 3–7°. In the seventh O2- site, O2- is bonded to three Li1+ and three Mo+3.08+ atoms to form OLi3Mo3 octahedra that share corners with five OLi3Mo3 octahedra, a cornercorner with one OLi2Mo3 square pyramid, edges with eight OLi3Mo3 octahedra, and edges with four OLi2Mo3 square pyramids. The corner-sharing octahedra tilt angles range from 0–8°. In the eighth O2- site, O2- is bonded to three Li1+ and three Mo+3.08+ atoms to form OLi3Mo3 octahedra that share corners with five OLi3Mo3 octahedra, a cornercorner with one OLi2Mo3 square pyramid, edges with eight OLi3Mo3 octahedra, and edges with four OLi2Mo3 square pyramids. The corner-sharing octahedra tilt angles range from 0–10°. In the ninth O2- site, O2- is bonded to three Li1+ and three Mo+3.08+ atoms to form OLi3Mo3 octahedra that share corners with five OLi3Mo3 octahedra, a cornercorner with one OLi2Mo3 square pyramid, edges with nine OLi3Mo3 octahedra, and edges with three OLi2Mo3 square pyramids. The corner-sharing octahedra tilt angles range from 0–10°. In the tenth O2- site, O2- is bonded to three Li1+ and three Mo+3.08+ atoms to form OLi3Mo3 octahedra that share corners with five OLi3Mo3 octahedra, a cornercorner with one OLi2Mo3 square pyramid, edges with eleven OLi3Mo3 octahedra, and an edgeedge with one OLi2Mo3 square pyramid. The corner-sharing octahedra tilt angles range from 0–3°. In the eleventh O2- site, O2- is bonded to three Li1+ and three Mo+3.08+ atoms to form OLi3Mo3 octahedra that share corners with five OLi3Mo3 octahedra, a cornercorner with one OLi2Mo3 square pyramid, edges with eight OLi3Mo3 octahedra, and edges with four OLi2Mo3 square pyramids. The corner-sharing octahedra tilt angles range from 0–3°. In the twelfth O2- site, O2- is bonded to two Li1+ and three Mo+3.08+ atoms to form OLi2Mo3 square pyramids that share corners with five OLi3Mo3 octahedra, corners with four OLi2Mo3 square pyramids, and edges with eight OLi3Mo3 octahedra. The corner-sharing octahedra tilt angles range from 3–8°.

36 MATERIALS SCIENCE↗

Materials Data on SrAl22O34 by Materials Project

SrAl22O34 crystallizes in the monoclinic P2_1/m space group. The structure is three-dimensional. Sr2+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Sr–O bond distances ranging from 2.57–2.69 Å. There are fifteen inequivalent Al3+ sites. In the first Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six AlO4 tetrahedra and edges with six AlO6 octahedra. There is four shorter (1.91 Å) and two longer (1.92 Å) Al–O bond length. In the second Al3+ site, Al3+ is bonded to six O2- 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 1.82–2.10 Å. In the third Al3+ site, Al3+ is bonded to six O2- 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 fourth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six AlO4 tetrahedra and edges with six AlO6 octahedra. There is one shorter (1.90 Å) and five longer (1.91 Å) Al–O bond length. In the fifth Al3+ site, Al3+ is bonded to four O2- 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 1.71–1.81 Å. In the sixth Al3+ site, Al3+ is bonded to six O2- 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 1.82–2.01 Å. In the seventh Al3+ site, Al3+ is bonded to six O2- 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 1.82–2.02 Å. In the eighth Al3+ site, Al3+ is bonded to four O2- atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–59°. There are a spread of Al–O bond distances ranging from 1.81–1.83 Å. In the ninth Al3+ site, Al3+ is bonded to four O2- atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 54–59°. There are a spread of Al–O bond distances ranging from 1.81–1.85 Å. In the tenth Al3+ site, Al3+ is bonded to six O2- 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 1.83–2.03 Å. In the eleventh Al3+ site, Al3+ is bonded to four O2- 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 53–54°. There is one shorter (1.74 Å) and three longer (1.79 Å) Al–O bond length. In the twelfth Al3+ site, Al3+ is bonded to four O2- 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 53–55°. There are a spread of Al–O bond distances ranging from 1.73–1.82 Å. In the thirteenth Al3+ site, Al3+ is bonded to four O2- atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–59°. There is three shorter (1.82 Å) and one longer (1.83 Å) Al–O bond length. In the fourteenth Al3+ site, Al3+ is bonded to six O2- 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 1.83–2.04 Å. In the fifteenth Al3+ site, Al3+ is bonded to six O2- 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 1.82–2.11 Å. There are twenty-two inequivalent O2- sites. In the first O2- site, O2- is bonded in a trigonal non-coplanar geometry to three Al3+ atoms. In the second O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Al3+ atoms. In the third O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Al3+ atoms. In the fourth O2- site, O2- is bonded in a distorted tetrahedral geometry to one Sr2+ and three Al3+ atoms. In the fifth O2- site, O2- is bonded in a trigonal planar geometry to three Al3+ atoms. In the sixth O2- site, O2- is bonded in a linear geometry to two equivalent Al3+ atoms. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to one Sr2+ and three Al3+ atoms. In the eighth O2- site, O2- is bonded in a trigonal planar geometry to three Al3+ atoms. In the ninth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Al3+ atoms. In the tenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Al3+ atoms. In the eleventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Al3+ atoms. In the twelfth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Al3+ atoms. In the thirteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Al3+ atoms. In the fourteenth O2- site, O2- is bonded in a trigonal planar geometry to three Al3+ atoms. In the fifteenth O2- site, O2- is bonded in a trigonal planar geometry to three Al3+ atoms. In the sixteenth O2- site, O2- is bonded in a 2-coordinate geometry to one Sr2+ and two Al3+ atoms. In the seventeenth O2- site, O2- is bonded in a trigonal planar geometry to three Al3+ atoms. In the eighteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Sr2+ and three Al3+ atoms. In the nineteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Al3+ atoms. In the twentieth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Al3+ atoms. In the twenty-first O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Al3+ atoms. In the twenty-second O2- site, O2- is bonded in a trigonal non-coplanar geometry to three Al3+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on LaBC by Materials Project

LaBC crystallizes in the orthorhombic P2_12_12_1 space group. The structure is three-dimensional. there are five inequivalent La sites. In the first La site, La is bonded in a 11-coordinate geometry to five B and six C atoms. There are a spread of La–B bond distances ranging from 2.70–3.06 Å. There are a spread of La–C bond distances ranging from 2.68–3.17 Å. In the second La site, La is bonded in a 8-coordinate geometry to three B and five C atoms. There are a spread of La–B bond distances ranging from 2.86–3.03 Å. There are a spread of La–C bond distances ranging from 2.60–3.08 Å. In the third La site, La is bonded in a 5-coordinate geometry to five B and five C atoms. There are a spread of La–B bond distances ranging from 3.01–3.11 Å. There are a spread of La–C bond distances ranging from 2.60–2.98 Å. In the fourth La site, La is bonded in a 2-coordinate geometry to six B and four C atoms. There are a spread of La–B bond distances ranging from 2.80–2.92 Å. There are a spread of La–C bond distances ranging from 2.76–2.82 Å. In the fifth La site, La is bonded in a 11-coordinate geometry to six B and five C atoms. There are a spread of La–B bond distances ranging from 2.77–3.08 Å. There are a spread of La–C bond distances ranging from 2.70–3.12 Å. There are five inequivalent B sites. In the first B site, B is bonded in a distorted single-bond geometry to five La and one C atom. The B–C bond length is 1.48 Å. In the second B site, B is bonded in a bent 150 degrees geometry to five La and two C atoms. Both B–C bond lengths are 1.48 Å. In the third B site, B is bonded in a bent 150 degrees geometry to five La and two C atoms. There is one shorter (1.47 Å) and one longer (1.49 Å) B–C bond length. In the fourth B site, B is bonded in a distorted single-bond geometry to six La and one C atom. The B–C bond length is 1.50 Å. In the fifth B site, B is bonded in a distorted bent 150 degrees geometry to four La and two C atoms. There is one shorter (1.46 Å) and one longer (1.48 Å) B–C bond length. There are five inequivalent C sites. In the first C site, C is bonded in a distorted bent 150 degrees geometry to five La and two B atoms. In the second C site, C is bonded in a distorted bent 150 degrees geometry to five La and two B atoms. In the third C site, C is bonded in a 6-coordinate geometry to five La and one B atom. In the fourth C site, C is bonded in a 1-coordinate geometry to five La and one B atom. In the fifth C site, C is bonded in a distorted bent 150 degrees geometry to five La and two B atoms.

36 MATERIALS SCIENCE↗

Materials Data on Pr14Si11Ni6 by Materials Project

Pr14Ni6Si11 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twenty-eight inequivalent Pr sites. In the first Pr site, Pr is bonded in a 7-coordinate geometry to two equivalent Ni and five Si atoms. Both Pr–Ni bond lengths are 2.96 Å. There are a spread of Pr–Si bond distances ranging from 3.08–3.29 Å. In the second Pr site, Pr is bonded in a 6-coordinate geometry to one Ni and five Si atoms. The Pr–Ni bond length is 3.00 Å. There are a spread of Pr–Si bond distances ranging from 3.12–3.18 Å. In the third Pr site, Pr is bonded in a 7-coordinate geometry to two equivalent Ni and five Si atoms. Both Pr–Ni bond lengths are 2.92 Å. There are a spread of Pr–Si bond distances ranging from 3.08–3.32 Å. In the fourth Pr site, Pr is bonded in a 7-coordinate geometry to two Ni and five Si atoms. There are one shorter (2.88 Å) and one longer (2.92 Å) Pr–Ni bond lengths. There are a spread of Pr–Si bond distances ranging from 3.11–3.21 Å. In the fifth Pr site, Pr is bonded in a 8-coordinate geometry to two equivalent Ni and six Si atoms. Both Pr–Ni bond lengths are 3.07 Å. There are a spread of Pr–Si bond distances ranging from 3.11–3.13 Å. In the sixth Pr site, Pr is bonded to six Ni and six Si atoms to form PrSi6Ni6 cuboctahedra that share edges with two equivalent PrSi8Ni4 cuboctahedra and faces with three PrSi6Ni6 cuboctahedra. There are a spread of Pr–Ni bond distances ranging from 3.22–3.26 Å. There are a spread of Pr–Si bond distances ranging from 3.13–3.20 Å. In the seventh Pr site, Pr is bonded in a 8-coordinate geometry to two equivalent Ni and six Si atoms. Both Pr–Ni bond lengths are 3.08 Å. There are three shorter (3.12 Å) and three longer (3.13 Å) Pr–Si bond lengths. In the eighth Pr site, Pr is bonded in a 7-coordinate geometry to two equivalent Ni and five Si atoms. Both Pr–Ni bond lengths are 2.93 Å. There are a spread of Pr–Si bond distances ranging from 3.09–3.34 Å. In the ninth Pr site, Pr is bonded in a 6-coordinate geometry to one Ni and five Si atoms. The Pr–Ni bond length is 2.90 Å. There are a spread of Pr–Si bond distances ranging from 3.15–3.21 Å. In the tenth Pr site, Pr is bonded to six Ni and six Si atoms to form PrSi6Ni6 cuboctahedra that share edges with two equivalent PrSi8Ni4 cuboctahedra and faces with three PrSi6Ni6 cuboctahedra. There are a spread of Pr–Ni bond distances ranging from 3.21–3.26 Å. There are a spread of Pr–Si bond distances ranging from 3.12–3.30 Å. In the eleventh Pr site, Pr is bonded in a 7-coordinate geometry to two equivalent Ni and five Si atoms. There are one shorter (2.97 Å) and one longer (2.98 Å) Pr–Ni bond lengths. There are a spread of Pr–Si bond distances ranging from 3.13–3.24 Å. In the twelfth Pr site, Pr is bonded in a 7-coordinate geometry to two equivalent Ni and five Si atoms. Both Pr–Ni bond lengths are 2.93 Å. There are a spread of Pr–Si bond distances ranging from 3.08–3.34 Å. In the thirteenth Pr site, Pr is bonded in a 6-coordinate geometry to two equivalent Ni and four Si atoms. There are one shorter (2.96 Å) and one longer (2.97 Å) Pr–Ni bond lengths. There are a spread of Pr–Si bond distances ranging from 2.99–3.31 Å. In the fourteenth Pr site, Pr is bonded in a 7-coordinate geometry to two equivalent Ni and five Si atoms. Both Pr–Ni bond lengths are 2.98 Å. There are a spread of Pr–Si bond distances ranging from 3.13–3.23 Å. In the fifteenth Pr site, Pr is bonded to six Ni and six Si atoms to form PrSi6Ni6 cuboctahedra that share edges with two equivalent PrSi8Ni4 cuboctahedra and faces with three PrSi6Ni6 cuboctahedra. There are a spread of Pr–Ni bond distances ranging from 3.21–3.26 Å. There are a spread of Pr–Si bond distances ranging from 3.13–3.30 Å. In the sixteenth Pr site, Pr is bonded in a 6-coordinate geometry to one Ni and five Si atoms. The Pr–Ni bond length is 3.00 Å. There are a spread of Pr–Si bond distances ranging from 3.11–3.18 Å. In the seventeenth Pr site, Pr is bonded in a 7-coordinate geometry to two equivalent Ni and five Si atoms. Both Pr–Ni bond lengths are 2.88 Å. There are four shorter (3.15 Å) and one longer (3.35 Å) Pr–Si bond lengths. In the eighteenth Pr site, Pr is bonded in a 7-coordinate geometry to two equivalent Ni and five Si atoms. There are one shorter (2.90 Å) and one longer (2.91 Å) Pr–Ni bond lengths. There are a spread of Pr–Si bond distances ranging from 3.08–3.33 Å. In the nineteenth Pr site, Pr is bonded in a 6-coordinate geometry to one Ni and five Si atoms. The Pr–Ni bond length is 2.90 Å. There are a spread of Pr–Si bond distances ranging from 3.15–3.20 Å. In the twentieth Pr site, Pr is bonded in a 6-coordinate geometry to two equivalent Ni and four Si atoms. Both Pr–Ni bond lengths are 2.96 Å. There are a spread of Pr–Si bond distances ranging from 2.99–3.31 Å. In the twenty-first Pr site, Pr is bonded in a 7-coordinate geometry to two equivalent Ni and five Si atoms. Both Pr–Ni bond lengths are 2.88 Å. There are four shorter (3.15 Å) and one longer (3.35 Å) Pr–Si bond lengths. In the twenty-second Pr site, Pr is bonded in a 7-coordinate geometry to two Ni and five Si atoms. There are one shorter (2.88 Å) and one longer (2.91 Å) Pr–Ni bond lengths. There are a spread of Pr–Si bond distances ranging from 3.11–3.22 Å. In the twenty-third Pr site, Pr is bonded to four Ni and eight Si atoms to form a mixture of edge and face-sharing PrSi8Ni4 cuboctahedra. There are a spread of Pr–Ni bond distances ranging from 3.21–3.23 Å. There are a spread of Pr–Si bond distances ranging from 3.20–3.24 Å. In the twenty-fourth Pr site, Pr is bonded in a 8-coordinate geometry to two equivalent Ni and six Si atoms. Both Pr–Ni bond lengths are 3.05 Å. There are a spread of Pr–Si bond distances ranging from 3.04–3.32 Å. In the twenty-fifth Pr site, Pr is bonded in a 7-coordinate geometry to two equivalent Ni and five Si atoms. Both Pr–Ni bond lengths are 2.95 Å. There are a spread of Pr–Si bond distances ranging from 3.06–3.28 Å. In the twenty-sixth Pr site, Pr is bonded to six Ni and six Si atoms to form PrSi6Ni6 cuboctahedra that share edges with two equivalent PrSi8Ni4 cuboctahedra and faces with three PrSi6Ni6 cuboctahedra. There are a spread of Pr–Ni bond distances ranging from 3.20–3.27 Å. There are a spread of Pr–Si bond distances ranging from 3.13–3.20 Å. In the twenty-seventh Pr site, Pr is bonded to four Ni and eight Si atoms to form a mixture of edge and face-sharing PrSi8Ni4 cuboctahedra. There are a spread of Pr–Ni bond distances ranging from 3.21–3.23 Å. There are a spread of Pr–Si bond distances ranging from 3.19–3.22 Å. In the twenty-eighth Pr site, Pr is bonded in a 8-coordinate geometry to two equivalent Ni and six Si atoms. Both Pr–Ni bond lengths are 3.06 Å. There are a spread of Pr–Si bond distances ranging from 3.04–3.33 Å. There are twelve inequivalent Ni sites. In the first Ni site, Ni is bonded in a 9-coordinate geometry to six Pr and three Si atoms. There are a spread of Ni–Si bond distances ranging from 2.40–2.48 Å. In the second Ni site, Ni is bonded in a 9-coordinate geometry to six Pr and three Si atoms. There are a spread of Ni–Si bond distances ranging from 2.40–2.48 Å. In the third Ni site, Ni is bonded in a 9-coordinate geometry to six Pr and three Si atoms. There are one shorter (2.45 Å) and two longer (2.50 Å) Ni–Si bond lengths. In the fourth Ni site, Ni is bonded in a 9-coordinate geometry to six Pr and three Si atoms. There are one shorter (2.40 Å) and two longer (2.47 Å) Ni–Si bond lengths. In the fifth Ni site, Ni is bonded in a 9-coordinate geometry to six Pr and three Si atoms. There are a spread of Ni–Si bond distances ranging from 2.29–2.41 Å. In the sixth Ni site, Ni is bonded in a 9-coordinate geometry to six Pr and three Si atoms. There are one shorter (2.39 Å) and two longer (2.47 Å) Ni–Si bond lengths. In the seventh Ni site, Ni is bonded in a 9-coordinate geometry to six Pr and three Si atoms. There are a spread of Ni–Si bond distances ranging from 2.29–2.40 Å. In the eighth Ni site, Ni is bonded in a 9-coordinate geometry to six Pr and three Si atoms. There are a spread of Ni–Si bond distances ranging from 2.28–2.42 Å. In the ninth Ni site, Ni is bonded in a 9-coordinate geometry to six Pr and three Si atoms. There are a spread of Ni–Si bond distances ranging from 2.36–2.47 Å. In the tenth Ni site, Ni is bonded in a 9-coordinate geometry to six Pr and three Si atoms. There are a spread of Ni–Si bond distances ranging from 2.36–2.47 Å. In the eleventh Ni site, Ni is bonded in a 9-coordinate geometry to six Pr and three Si atoms. There are a spread of Ni–Si bond distances ranging from 2.29–2.39 Å. In the twelfth Ni site, Ni is bonded in a 9-coordinate geometry to six Pr and three Si atoms. There are one shorter (2.46 Å) and two longer (2.50 Å) Ni–Si bond lengths. There are twenty-two inequivalent Si sites. In the first Si site, Si is bonded in a 9-coordinate geometry to seven Pr and two Ni atoms. In the second Si site, Si is bonded in a 9-coordinate geometry to seven Pr and two Ni atoms. In the third Si site, Si is bonded in a 9-coordinate geometry to seven Pr and two Ni atoms. In the fourth Si site, Si is bonded in a 9-coordinate geometry to eight Pr and one Ni atom. In the fifth Si site, Si is bonded in a 9-coordinate geometry to seven Pr and two equivalent Ni atoms. In the sixth Si site, Si is bonded in a 9-coordinate geometry to seven Pr and two Ni atoms. In the seventh Si site, Si is bonded in a 9-coordinate geometry to six Pr, two Ni, and one Si atom. The Si–Si bond length is 2.52 Å. In the eighth Si site, Si is bonded in a 9-coordinate geometry to seven Pr and two Ni atoms. In the ninth Si site, Si is bonded in a 9-coordinate geometry to six Pr, two Ni, and one Si atom. The Si–Si bond length is 2.52 Å. In the tenth Si site, Si is bonded in a 9-coordinate geometry to seven Pr and two equivalent Ni atoms. In the eleventh Si site, Si is bonded in a 9-coordinate geometry to six Pr, two Ni, and one Si atom. The Si–Si bond length is 2.54 Å. In the twelfth Si site, Si is bonded in a 9-coordinate geometry to six Pr, two Ni, and one Si atom. The Si–Si bond length is 2.52 Å. In the thirteenth Si site, Si is bonded in a 9-coordinate geometry to eight Pr and one Ni atom. In the fourteenth Si site, Si is bonded in a 9-coordinate geometry to seven Pr and two equivalent Ni atoms. In the fifteenth Si site, Si is bonded in a 8-coordinate geometry to seven Pr and one Ni atom. In the sixteenth Si site, Si is bonded in a 8-coordinate geometry to seven Pr and one Ni atom. In the seventeenth Si site, Si is bonded in a 9-coordinate geometry to seven Pr, one Ni, and one Si atom. In the eighteenth Si site, Si is bonded in a 9-coordinate geometry to seven Pr, one Ni, and one Si atom. In the nineteenth Si site, Si is bonded in a 9-coordinate geometry to seven Pr, one Ni, and one Si atom. In the twentieth Si site, Si is bonded in a 9-coordinate geometry to seven Pr, one Ni, and one Si atom. In the twenty-first Si site, Si is bonded in a 9-coordinate geometry to seven Pr and two equivalent Ni atoms. In the twenty-second Si site, Si is bonded in a 9-coordinate geometry to seven Pr and two Ni atoms.

36 MATERIALS SCIENCE↗

Materials Data on Na4V2O7 by Materials Project

Na4V2O7 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are thirty-two inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.32–2.94 Å. In the second Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.34–2.76 Å. In the third Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.35–2.72 Å. In the fourth Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.31–2.85 Å. In the fifth Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.38–2.75 Å. In the sixth Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.32–2.87 Å. In the seventh Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share a cornercorner with one NaO5 square pyramid, corners with five VO4 tetrahedra, an edgeedge with one VO4 tetrahedra, and a faceface with one NaO6 pentagonal pyramid. There are a spread of Na–O bond distances ranging from 2.30–2.72 Å. In the eighth Na1+ site, Na1+ is bonded to five O2- atoms to form NaO5 square pyramids that share a cornercorner with one NaO6 octahedra and corners with five VO4 tetrahedra. The corner-sharing octahedral tilt angles are 84°. There are a spread of Na–O bond distances ranging from 2.31–2.59 Å. In the ninth Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share a cornercorner with one NaO5 square pyramid, corners with five VO4 tetrahedra, an edgeedge with one VO4 tetrahedra, and a faceface with one NaO6 pentagonal pyramid. There are a spread of Na–O bond distances ranging from 2.30–2.73 Å. In the tenth Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.34–2.72 Å. In the eleventh Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.31–2.87 Å. In the twelfth Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.32–2.89 Å. In the thirteenth Na1+ site, Na1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Na–O bond distances ranging from 2.34–2.83 Å. In the fourteenth Na1+ site, Na1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Na–O bond distances ranging from 2.34–2.77 Å. In the fifteenth Na1+ site, Na1+ is bonded to five O2- atoms to form NaO5 square pyramids that share a cornercorner with one NaO6 octahedra, corners with five VO4 tetrahedra, and a faceface with one NaO6 pentagonal pyramid. The corner-sharing octahedral tilt angles are 85°. There are a spread of Na–O bond distances ranging from 2.32–2.58 Å. In the sixteenth Na1+ site, Na1+ is bonded to five O2- atoms to form distorted NaO5 square pyramids that share a cornercorner with one NaO6 octahedra, corners with five VO4 tetrahedra, and a faceface with one NaO6 pentagonal pyramid. The corner-sharing octahedral tilt angles are 84°. There are a spread of Na–O bond distances ranging from 2.32–2.61 Å. In the seventeenth Na1+ site, Na1+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Na–O bond distances ranging from 2.36–3.01 Å. In the eighteenth Na1+ site, Na1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Na–O bond distances ranging from 2.35–2.80 Å. In the nineteenth Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 pentagonal pyramids that share corners with four VO4 tetrahedra, an edgeedge with one VO4 tetrahedra, a faceface with one NaO6 octahedra, and a faceface with one NaO5 square pyramid. There are a spread of Na–O bond distances ranging from 2.38–2.75 Å. In the twentieth Na1+ site, Na1+ is bonded to six O2- atoms to form NaO6 octahedra that share corners with six VO4 tetrahedra. There are a spread of Na–O bond distances ranging from 2.37–2.49 Å. In the twenty-first Na1+ site, Na1+ is bonded to six O2- atoms to form NaO6 octahedra that share corners with six VO4 tetrahedra. There are a spread of Na–O bond distances ranging from 2.37–2.50 Å. In the twenty-second Na1+ site, Na1+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Na–O bond distances ranging from 2.38–3.05 Å. In the twenty-third Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share a cornercorner with one NaO5 square pyramid, corners with five VO4 tetrahedra, an edgeedge with one VO4 tetrahedra, and a faceface with one NaO6 pentagonal pyramid. There are a spread of Na–O bond distances ranging from 2.32–2.72 Å. In the twenty-fourth Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 pentagonal pyramids that share corners with four VO4 tetrahedra, an edgeedge with one VO4 tetrahedra, a faceface with one NaO6 octahedra, and a faceface with one NaO5 square pyramid. There are a spread of Na–O bond distances ranging from 2.37–2.73 Å. In the twenty-fifth Na1+ site, Na1+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Na–O bond distances ranging from 2.40–2.99 Å. In the twenty-sixth Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 pentagonal pyramids that share corners with four VO4 tetrahedra, an edgeedge with one VO4 tetrahedra, a faceface with one NaO6 octahedra, and a faceface with one NaO5 square pyramid. There are a spread of Na–O bond distances ranging from 2.37–2.75 Å. In the twenty-seventh Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.34–2.70 Å. In the twenty-eighth Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share a cornercorner with one NaO5 square pyramid, corners with five VO4 tetrahedra, and an edgeedge with one VO4 tetrahedra. There are a spread of Na–O bond distances ranging from 2.31–2.70 Å. In the twenty-ninth Na1+ site, Na1+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Na–O bond distances ranging from 2.38–3.07 Å. In the thirtieth Na1+ site, Na1+ is bonded in a 4-coordinate geometry to five O2- atoms. There are a spread of Na–O bond distances ranging from 2.34–2.86 Å. In the thirty-first Na1+ site, Na1+ is bonded to five O2- atoms to form NaO5 square pyramids that share a cornercorner with one NaO6 octahedra, corners with five VO4 tetrahedra, and a faceface with one NaO6 pentagonal pyramid. The corner-sharing octahedral tilt angles are 85°. There are a spread of Na–O bond distances ranging from 2.32–2.54 Å. In the thirty-second Na1+ site, Na1+ is bonded in a 4-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.31–2.97 Å. There are sixteen inequivalent V5+ sites. In the first V5+ site, V5+ is bonded to four O2- atoms to form VO4 tetrahedra that share a cornercorner with one NaO6 octahedra, corners with two equivalent NaO5 square pyramids, and a cornercorner with one VO4 tetrahedra. The corner-sharing octahedral tilt angles are 57°. There are a spread of V–O bond distances ranging from 1.71–1.84 Å. In the second V5+ site, V5+ is bonded to four O2- atoms to form VO4 tetrahedra that share a cornercorner with one NaO6 octahedra, a cornercorner with one NaO5 square pyramid, a cornercorner with one VO4 tetrahedra, and an edgeedge with one NaO6 octahedra. The corner-sharing octahedral tilt angles are 68°. There are a spread of V–O bond distances ranging from 1.71–1.86 Å. In the third V5+ site, V5+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with three NaO6 octahedra, a cornercorner with one NaO6 pentagonal pyramid, corners with two equivalent NaO5 square pyramids, and a cornercorner with one VO4 tetrahedra. The corner-sharing octahedra tilt angles range from 35–81°. There are a spread of V–O bond distances ranging from 1.70–1.86 Å. In the fourth V5+ site, V5+ is bonded to four O2- atoms to form VO4 tetrahedra that share a cornercorner with one NaO6 octahedra, a cornercorner with one NaO6 pentagonal pyramid, a cornercorner with one NaO5 square pyramid, a cornercorner with one VO4 tetrahedra, an edgeedge with one NaO6 octahedra, and an edgeedge with one NaO6 pentagonal pyramid. The corner-sharing octahedral tilt angles are 70°. There are a spread of V–O bond distances ranging from 1.71–1.86 Å. In the fifth V5+ site, V5+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with three NaO6 octahedra and a cornercorner with one VO4 tetrahedra. The corner-sharing octahedra tilt angles range from 25–49°. There are a spread of V–O bond distances ranging from 1.71–1.84 Å. In the sixth V5+ site, V5+ is bonded to four O2- atoms to form VO4 tetrahedra that share a cornercorner with one NaO6 octahedra, a cornercorner with one NaO6 pentagonal pyramid, a cornercorner with one NaO5 square pyramid, a cornercorner with one VO4 tetrahedra, an edgeedge with one NaO6 octahedra, and an edgeedge with one NaO6 pentagonal pyramid. The corner-sharing octahedral tilt angles are 68°. There are a spread of V–O bond distances ranging from 1.71–1.86 Å. In the seventh V5+ site, V5+ is bonded to four O2- atoms to form VO4 tetrahedra that share a cornercorner with one NaO6 octahedra, a cornercorner with one NaO6 pentagonal pyramid, corners with two equivalent NaO5 square pyramids, and a cornercorner with one VO4 tetrahedra. The corner-sharing octahedral tilt angles are 56°. There are a spread of V–O bond distances ranging from 1.71–1.84 Å. In the eighth V5+ site, V5+ is bonded to four O2- atoms to form VO4 tetrahedra that share a cornercorner with one NaO6 octahedra, a cornercorner with one NaO6 pentagonal pyramid, a cornercorner with one NaO5 square pyramid, a cornercorner with one VO4 tetrahedra, an edgeedge with one NaO6 octahedra, and an edgeedge with one NaO6 pentagonal pyramid. The corner-sharing octahedral tilt angles are 68°. There are a spread of V–O bond distances ranging from 1.71–1.86 Å. In the ninth V5+ site, V5+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with three NaO6 octahedra, a cornercorner with one NaO6 pentagonal pyramid, corners with two equivalent NaO5 square pyramids, and a cornercorner with one VO4 tetrahedra. The corner-sharing octahedra tilt angles range from 37–81°. There are a spread of V–O bond distances ranging from 1.70–1.86 Å. In the tenth V5+ site, V5+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with three NaO6 octahedra, corners with two equivalent NaO5 square pyramids, and a cornercorner with one VO4 tetrahedra. The corner-sharing octahedra tilt angles range from 36–82°. There are a spread of V–O bond distances ranging from 1.70–1.86 Å. In the eleventh V5+ site, V5+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with three NaO6 octahedra, a cornercorner with one NaO6 pentagonal pyramid, and a cornercorner with one VO4 tetrahedra. The corner-sharing octahedra tilt angles range from 27–50°. There are a spread of V–O bond distances ranging from 1.71–1.84 Å. In the twelfth V5+ site, V5+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with three NaO6 octahedra, a cornercorner with one NaO6 pentagonal pyramid, and a cornercorner with one VO4 tetrahedra. The corner-sharing octahedra tilt angles range from 24–48°. There are a spread of V–O bond distances ranging from 1.71–1.84 Å. In the thirteenth V5+ site, V5+ is bonded to four O2- atoms to form VO4 tetrahedra that share a cornercorner w

36 MATERIALS SCIENCE↗

Materials Data on Li14Co13O28 by Materials Project

Li14Co13O28 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are eight inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six CoO6 octahedra, edges with five CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–11°. There are a spread of Li–O bond distances ranging from 2.07–2.19 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with five CoO6 octahedra, edges with six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 6–9°. There are a spread of Li–O bond distances ranging from 1.99–2.14 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six CoO6 octahedra, edges with six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 5–8°. There are a spread of Li–O bond distances ranging from 2.09–2.12 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with five CoO6 octahedra, edges with six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 6–9°. There are a spread of Li–O bond distances ranging from 2.00–2.12 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six CoO6 octahedra, edges with five CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–11°. There are a spread of Li–O bond distances ranging from 2.08–2.18 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six CoO6 octahedra, edges with six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 6–9°. There are four shorter (2.10 Å) and two longer (2.12 Å) Li–O bond lengths. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six CoO6 octahedra, edges with five CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–10°. There are a spread of Li–O bond distances ranging from 2.09–2.20 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with four CoO6 octahedra, edges with six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 7–8°. There are a spread of Li–O bond distances ranging from 1.97–2.12 Å. There are seven inequivalent Co+3.23+ sites. In the first Co+3.23+ site, Co+3.23+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with five CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–11°. There are a spread of Co–O bond distances ranging from 1.87–1.96 Å. In the second Co+3.23+ site, Co+3.23+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 6–9°. There are a spread of Co–O bond distances ranging from 1.93–1.95 Å. In the third Co+3.23+ site, Co+3.23+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with five CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–11°. There are a spread of Co–O bond distances ranging from 1.87–1.98 Å. In the fourth Co+3.23+ site, Co+3.23+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 4–9°. There are a spread of Co–O bond distances ranging from 1.93–1.95 Å. In the fifth Co+3.23+ site, Co+3.23+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 4–9°. There is five shorter (1.93 Å) and one longer (1.95 Å) Co–O bond length. In the sixth Co+3.23+ site, Co+3.23+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with five CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–10°. There are a spread of Co–O bond distances ranging from 1.83–1.96 Å. In the seventh Co+3.23+ site, Co+3.23+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 6–9°. All Co–O bond lengths are 1.94 Å. There are fourteen inequivalent O2- sites. In the first O2- site, O2- is bonded to three Li1+ and two Co+3.23+ atoms to form OLi3Co2 square pyramids that share corners with five OLi3Co3 octahedra, corners with four OLi3Co2 square pyramids, and edges with eight OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 2–8°. In the second O2- site, O2- is bonded to three Li1+ and three Co+3.23+ atoms to form OLi3Co3 octahedra that share corners with four OLi3Co3 octahedra, corners with two equivalent OLi3Co2 square pyramids, edges with ten OLi3Co3 octahedra, and edges with two equivalent OLi3Co2 square pyramids. The corner-sharing octahedra tilt angles range from 0–1°. In the third O2- site, O2- is bonded to three Li1+ and three Co+3.23+ atoms to form OLi3Co3 octahedra that share corners with four OLi3Co3 octahedra, corners with two OLi3Co2 square pyramids, edges with eleven OLi3Co3 octahedra, and an edgeedge with one OLi3Co2 square pyramid. The corner-sharing octahedra tilt angles range from 0–2°. In the fourth O2- site, O2- is bonded to three Li1+ and three Co+3.23+ atoms to form OLi3Co3 octahedra that share corners with five OLi3Co3 octahedra, a cornercorner with one OLi3Co2 square pyramid, edges with eight OLi3Co3 octahedra, and edges with four OLi3Co2 square pyramids. The corner-sharing octahedra tilt angles range from 0–5°. In the fifth O2- site, O2- is bonded to three Li1+ and three Co+3.23+ atoms to form OLi3Co3 octahedra that share corners with four OLi3Co3 octahedra, corners with two OLi3Co2 square pyramids, edges with ten OLi3Co3 octahedra, and edges with two equivalent OLi3Co2 square pyramids. The corner-sharing octahedra tilt angles range from 0–2°. In the sixth O2- site, O2- is bonded to three Li1+ and three Co+3.23+ atoms to form OLi3Co3 octahedra that share corners with six OLi3Co3 octahedra, edges with nine OLi3Co3 octahedra, and edges with three OLi3Co2 square pyramids. The corner-sharing octahedra tilt angles range from 0–5°. In the seventh O2- site, O2- is bonded to three Li1+ and two Co+3.23+ atoms to form OLi3Co2 square pyramids that share corners with four OLi3Co3 octahedra, corners with five OLi3Co2 square pyramids, and edges with eight OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 7–8°. In the eighth O2- site, O2- is bonded to three Li1+ and three Co+3.23+ atoms to form OLi3Co3 octahedra that share corners with five OLi3Co3 octahedra, a cornercorner with one OLi3Co2 square pyramid, edges with nine OLi3Co3 octahedra, and edges with three OLi3Co2 square pyramids. The corner-sharing octahedra tilt angles range from 0–5°. In the ninth O2- site, O2- is bonded to three Li1+ and three Co+3.23+ atoms to form OLi3Co3 octahedra that share corners with six OLi3Co3 octahedra, edges with nine OLi3Co3 octahedra, and edges with three OLi3Co2 square pyramids. The corner-sharing octahedra tilt angles range from 0–5°. In the tenth O2- site, O2- is bonded to three Li1+ and three Co+3.23+ atoms to form OLi3Co3 octahedra that share corners with five OLi3Co3 octahedra, a cornercorner with one OLi3Co2 square pyramid, edges with eleven OLi3Co3 octahedra, and an edgeedge with one OLi3Co2 square pyramid. The corner-sharing octahedra tilt angles range from 0–3°. In the eleventh O2- site, O2- is bonded to three Li1+ and three Co+3.23+ atoms to form OLi3Co3 octahedra that share corners with four OLi3Co3 octahedra, corners with two OLi3Co2 square pyramids, edges with ten OLi3Co3 octahedra, and edges with two OLi3Co2 square pyramids. The corner-sharing octahedra tilt angles range from 0–3°. In the twelfth O2- site, O2- is bonded to three Li1+ and three Co+3.23+ atoms to form OLi3Co3 octahedra that share corners with four OLi3Co3 octahedra, corners with two equivalent OLi3Co2 square pyramids, edges with ten OLi3Co3 octahedra, and edges with two equivalent OLi3Co2 square pyramids. The corner-sharing octahedra tilt angles range from 0–1°. In the thirteenth O2- site, O2- is bonded to three Li1+ and three Co+3.23+ atoms to form OLi3Co3 octahedra that share corners with five OLi3Co3 octahedra, a cornercorner with one OLi3Co2 square pyramid, edges with eleven OLi3Co3 octahedra, and an edgeedge with one OLi3Co2 square pyramid. The corner-sharing octahedra tilt angles range from 0–2°. In the fourteenth O2- site, O2- is bonded to three Li1+ and two Co+3.23+ atoms to form OLi3Co2 square pyramids that share corners with five OLi3Co3 octahedra, corners with four OLi3Co2 square pyramids, and edges with eight OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 2–8°.

36 MATERIALS SCIENCE↗

Materials Data on NaAl11O17 by Materials Project

NaAl11O17 is beta indium sulfide-derived structured and crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are two inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded in a 1-coordinate geometry to four O2- atoms. There are one shorter (2.59 Å) and three longer (2.67 Å) Na–O bond lengths. In the second Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.57–3.04 Å. There are eighteen inequivalent Al3+ sites. In the first Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six AlO4 tetrahedra and edges with six AlO6 octahedra. There is three shorter (1.90 Å) and three longer (1.92 Å) Al–O bond length. In the second Al3+ site, Al3+ is bonded to six O2- 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 1.82–2.06 Å. In the third Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six AlO4 tetrahedra and edges with six AlO6 octahedra. There is three shorter (1.90 Å) and three longer (1.92 Å) Al–O bond length. In the fourth Al3+ site, Al3+ is bonded to six O2- 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 1.82–2.06 Å. In the fifth Al3+ site, Al3+ is bonded to six O2- 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 1.82–2.05 Å. In the sixth Al3+ site, Al3+ is bonded to four O2- atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 54–58°. All Al–O bond lengths are 1.82 Å. In the seventh Al3+ site, Al3+ is bonded to four O2- 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 55–56°. There are a spread of Al–O bond distances ranging from 1.70–1.80 Å. In the eighth Al3+ site, Al3+ is bonded to four O2- 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 54–55°. There is one shorter (1.69 Å) and three longer (1.78 Å) Al–O bond length. In the ninth Al3+ site, Al3+ is bonded to six O2- 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 1.83–2.05 Å. In the tenth Al3+ site, Al3+ is bonded to four O2- atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 54–59°. There is three shorter (1.82 Å) and one longer (1.84 Å) Al–O bond length. In the eleventh Al3+ site, Al3+ is bonded to four O2- atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 54–58°. All Al–O bond lengths are 1.82 Å. In the twelfth Al3+ site, Al3+ is bonded to six O2- 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 1.82–2.05 Å. In the thirteenth Al3+ site, Al3+ is bonded to six O2- 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 1.82–2.05 Å. In the fourteenth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with six AlO6 octahedra and a cornercorner with one AlO4 tetrahedra. The corner-sharing octahedral tilt angles are 55°. There is one shorter (1.69 Å) and three longer (1.79 Å) Al–O bond length. In the fifteenth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with six AlO6 octahedra and a cornercorner with one AlO4 tetrahedra. The corner-sharing octahedral tilt angles are 54°. There is one shorter (1.69 Å) and three longer (1.78 Å) Al–O bond length. In the sixteenth Al3+ site, Al3+ is bonded to four O2- atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 54–59°. There is three shorter (1.82 Å) and one longer (1.84 Å) Al–O bond length. In the seventeenth Al3+ site, Al3+ is bonded to six O2- 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 1.82–2.06 Å. In the eighteenth Al3+ site, Al3+ is bonded to six O2- 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 1.83–2.03 Å. There are twenty-six inequivalent O2- sites. In the first O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Al3+ atoms. In the second O2- site, O2- is bonded in a trigonal non-coplanar geometry to three Al3+ atoms. In the third O2- site, O2- is bonded in a trigonal planar geometry to three Al3+ atoms. In the fourth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Al3+ atoms. In the fifth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Al3+ atoms. In the sixth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Al3+ atoms. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to one Na1+ and three Al3+ atoms. In the eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Na1+ and three Al3+ atoms. In the ninth O2- site, O2- is bonded in a trigonal non-coplanar geometry to three Al3+ atoms. In the tenth O2- site, O2- is bonded in a linear geometry to two equivalent Na1+ and two Al3+ atoms. In the eleventh O2- site, O2- is bonded in a trigonal planar geometry to three Al3+ atoms. In the twelfth O2- site, O2- is bonded in a trigonal planar geometry to three Al3+ atoms. In the thirteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Al3+ atoms. In the fourteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Al3+ atoms. In the fifteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Al3+ atoms. In the sixteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Al3+ atoms. In the seventeenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Al3+ atoms. In the eighteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+ and three Al3+ atoms. In the nineteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+ and three Al3+ atoms. In the twentieth O2- site, O2- is bonded in a linear geometry to two Al3+ atoms. In the twenty-first O2- site, O2- is bonded in a distorted tetrahedral geometry to one Na1+ and three Al3+ atoms. In the twenty-second O2- site, O2- is bonded in a trigonal planar geometry to three Al3+ atoms. In the twenty-third O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Al3+ atoms. In the twenty-fourth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Al3+ atoms. In the twenty-fifth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Al3+ atoms. In the twenty-sixth O2- site, O2- is bonded in a distorted tetrahedral geometry to one Na1+ and three Al3+ atoms.

36 MATERIALS SCIENCE↗