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Materials Data on K2Pd(S2O7)3 by Materials Project

K2Pd(S2O7)3 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are four inequivalent K1+ sites. In the first K1+ site, K1+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of K–O bond distances ranging from 2.83–3.21 Å. In the second K1+ site, K1+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of K–O bond distances ranging from 2.81–3.31 Å. In the third K1+ site, K1+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of K–O bond distances ranging from 2.81–3.12 Å. In the fourth K1+ site, K1+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of K–O bond distances ranging from 2.83–3.08 Å. There are two inequivalent Pd4+ sites. In the first Pd4+ site, Pd4+ is bonded to six O2- atoms to form PdO6 octahedra that share corners with six SO4 tetrahedra. There are a spread of Pd–O bond distances ranging from 2.03–2.05 Å. In the second Pd4+ site, Pd4+ is bonded to six O2- atoms to form PdO6 octahedra that share corners with six SO4 tetrahedra. There are a spread of Pd–O bond distances ranging from 2.03–2.05 Å. There are twelve inequivalent S6+ sites. In the first S6+ site, S6+ is bonded to four O2- atoms to form SO4 tetrahedra that share a cornercorner with one PdO6 octahedra and a cornercorner with one SO4 tetrahedra. The corner-sharing octahedral tilt angles are 54°. There are a spread of S–O bond distances ranging from 1.43–1.68 Å. In the second S6+ site, S6+ is bonded to four O2- atoms to form SO4 tetrahedra that share a cornercorner with one PdO6 octahedra and a cornercorner with one SO4 tetrahedra. The corner-sharing octahedral tilt angles are 54°. There are a spread of S–O bond distances ranging from 1.43–1.68 Å. In the third S6+ site, S6+ is bonded to four O2- atoms to form SO4 tetrahedra that share a cornercorner with one PdO6 octahedra and a cornercorner with one SO4 tetrahedra. The corner-sharing octahedral tilt angles are 54°. There are a spread of S–O bond distances ranging from 1.43–1.66 Å. In the fourth S6+ site, S6+ is bonded to four O2- atoms to form SO4 tetrahedra that share a cornercorner with one PdO6 octahedra and a cornercorner with one SO4 tetrahedra. The corner-sharing octahedral tilt angles are 54°. There are a spread of S–O bond distances ranging from 1.43–1.66 Å. In the fifth S6+ site, S6+ is bonded to four O2- atoms to form SO4 tetrahedra that share a cornercorner with one PdO6 octahedra and a cornercorner with one SO4 tetrahedra. The corner-sharing octahedral tilt angles are 58°. There are a spread of S–O bond distances ranging from 1.43–1.66 Å. In the sixth S6+ site, S6+ is bonded to four O2- atoms to form SO4 tetrahedra that share a cornercorner with one PdO6 octahedra and a cornercorner with one SO4 tetrahedra. The corner-sharing octahedral tilt angles are 53°. There are a spread of S–O bond distances ranging from 1.43–1.66 Å. In the seventh S6+ site, S6+ is bonded to four O2- atoms to form SO4 tetrahedra that share a cornercorner with one PdO6 octahedra and a cornercorner with one SO4 tetrahedra. The corner-sharing octahedral tilt angles are 58°. There are a spread of S–O bond distances ranging from 1.43–1.66 Å. In the eighth S6+ site, S6+ is bonded to four O2- atoms to form SO4 tetrahedra that share a cornercorner with one PdO6 octahedra and a cornercorner with one SO4 tetrahedra. The corner-sharing octahedral tilt angles are 57°. There are a spread of S–O bond distances ranging from 1.43–1.66 Å. In the ninth S6+ site, S6+ is bonded to four O2- atoms to form SO4 tetrahedra that share a cornercorner with one PdO6 octahedra and a cornercorner with one SO4 tetrahedra. The corner-sharing octahedral tilt angles are 52°. There are a spread of S–O bond distances ranging from 1.43–1.66 Å. In the tenth S6+ site, S6+ is bonded to four O2- atoms to form SO4 tetrahedra that share a cornercorner with one PdO6 octahedra and a cornercorner with one SO4 tetrahedra. The corner-sharing octahedral tilt angles are 58°. There are a spread of S–O bond distances ranging from 1.43–1.68 Å. In the eleventh S6+ site, S6+ is bonded to four O2- atoms to form SO4 tetrahedra that share a cornercorner with one PdO6 octahedra and a cornercorner with one SO4 tetrahedra. The corner-sharing octahedral tilt angles are 58°. There are a spread of S–O bond distances ranging from 1.43–1.67 Å. In the twelfth S6+ site, S6+ is bonded to four O2- atoms to form SO4 tetrahedra that share a cornercorner with one PdO6 octahedra and a cornercorner with one SO4 tetrahedra. The corner-sharing octahedral tilt angles are 57°. There are a spread of S–O bond distances ranging from 1.43–1.67 Å. There are forty-two inequivalent O2- sites. In the first O2- site, O2- is bonded in a bent 120 degrees geometry to one Pd4+ and one S6+ atom. In the second O2- site, O2- is bonded in a bent 120 degrees geometry to one Pd4+ and one S6+ atom. In the third O2- site, O2- is bonded in a bent 120 degrees geometry to one Pd4+ and one S6+ atom. In the fourth O2- site, O2- is bonded in a bent 120 degrees geometry to one Pd4+ and one S6+ atom. In the fifth O2- site, O2- is bonded in a bent 120 degrees geometry to one Pd4+ and one S6+ atom. In the sixth O2- site, O2- is bonded in a distorted single-bond geometry to one K1+ and one S6+ atom. In the seventh O2- site, O2- is bonded in a bent 120 degrees geometry to one Pd4+ and one S6+ atom. In the eighth O2- site, O2- is bonded in a bent 120 degrees geometry to one K1+ and two S6+ atoms. In the ninth O2- site, O2- is bonded in a bent 120 degrees geometry to one Pd4+ and one S6+ atom. In the tenth O2- site, O2- is bonded in a bent 120 degrees geometry to one Pd4+ and one S6+ atom. In the eleventh O2- site, O2- is bonded in a bent 120 degrees geometry to one Pd4+ and one S6+ atom. In the twelfth O2- site, O2- is bonded in a bent 120 degrees geometry to two S6+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one K1+ and two S6+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted single-bond geometry to one K1+ and one S6+ atom. In the fifteenth O2- site, O2- is bonded in a bent 120 degrees geometry to one Pd4+ and one S6+ atom. In the sixteenth O2- site, O2- is bonded in a bent 120 degrees geometry to one Pd4+ and one S6+ atom. In the seventeenth O2- site, O2- is bonded in a bent 120 degrees geometry to two S6+ atoms. In the eighteenth O2- site, O2- is bonded in a distorted single-bond geometry to one K1+ and one S6+ atom. In the nineteenth O2- site, O2- is bonded in a distorted single-bond geometry to one K1+ and one S6+ atom. In the twentieth O2- site, O2- is bonded in a distorted single-bond geometry to one K1+ and one S6+ atom. In the twenty-first O2- site, O2- is bonded in a distorted single-bond geometry to two K1+ and one S6+ atom. In the twenty-second O2- site, O2- is bonded in a distorted single-bond geometry to two K1+ and one S6+ atom. In the twenty-third O2- site, O2- is bonded in a distorted single-bond geometry to one K1+ and one S6+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted single-bond geometry to one K1+ and one S6+ atom. In the twenty-fifth O2- site, O2- is bonded in a distorted single-bond geometry to one K1+ and one S6+ atom. In the twenty-sixth O2- site, O2- is bonded in a distorted single-bond geometry to one K1+ and one S6+ atom. In the twenty-seventh O2- site, O2- is bonded in a bent 120 degrees geometry to one K1+ and two S6+ atoms. In the twenty-eighth O2- site, O2- is bonded in a distorted single-bond geometry to one K1+ and one S6+ atom. In the twenty-ninth O2- site, O2- is bonded in a single-bond geometry to one K1+ and one S6+ atom. In the thirtieth O2- site, O2- is bonded in a bent 120 degrees geometry to one Pd4+ and one S6+ atom. In the thirty-first O2- site, O2- is bonded in a distorted single-bond geometry to one K1+ and one S6+ atom. In the thirty-second O2- site, O2- is bonded in a distorted single-bond geometry to one K1+ and one S6+ atom. In the thirty-third O2- site, O2- is bonded in a distorted single-bond geometry to one K1+ and one S6+ atom. In the thirty-fourth O2- site, O2- is bonded in a distorted single-bond geometry to one K1+ and one S6+ atom. In the thirty-fifth O2- site, O2- is bonded in a distorted single-bond geometry to one K1+ and one S6+ atom. In the thirty-sixth O2- site, O2- is bonded in a distorted single-bond geometry to one K1+ and one S6+ atom. In the thirty-seventh O2- site, O2- is bonded in a distorted single-bond geometry to one K1+ and one S6+ atom. In the thirty-eighth O2- site, O2- is bonded in a bent 120 degrees geometry to one K1+ and two S6+ atoms. In the thirty-ninth O2- site, O2- is bonded in a distorted single-bond geometry to two K1+ and one S6+ atom. In the fortieth O2- site, O2- is bonded in a distorted single-bond geometry to two K1+ and one S6+ atom. In the forty-first O2- site, O2- is bonded in a single-bond geometry to one K1+ and one S6+ atom. In the forty-second O2- site, O2- is bonded in a distorted single-bond geometry to one K1+ and one S6+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li8MnFe7(PO4)12 by Materials Project

Li8MnFe7(PO4)12 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 trigonal pyramids that share corners with four PO4 tetrahedra and edges with two FeO6 octahedra. There are a spread of Li–O bond distances ranging from 1.94–1.99 Å. In the second Li1+ site, Li1+ is bonded in a distorted see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.94–2.01 Å. In the third Li1+ site, Li1+ is bonded in a distorted see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.95–2.00 Å. In the fourth Li1+ site, Li1+ is bonded in a distorted see-saw-like geometry to four O2- atoms. There is one shorter (1.93 Å) and three longer (1.98 Å) Li–O bond length. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 trigonal pyramids that share corners with four PO4 tetrahedra and edges with two FeO6 octahedra. There are a spread of Li–O bond distances ranging from 1.93–1.99 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 trigonal pyramids that share corners with four PO4 tetrahedra, an edgeedge with one MnO6 octahedra, and an edgeedge with one FeO6 octahedra. There is two shorter (1.97 Å) and two longer (1.99 Å) Li–O bond length. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 trigonal pyramids that share corners with four PO4 tetrahedra and edges with two FeO6 octahedra. There are a spread of Li–O bond distances ranging from 1.95–2.00 Å. In the eighth Li1+ site, Li1+ is bonded in a distorted see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.95–2.01 Å. Mn7+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Mn–O bond distances ranging from 1.89–2.04 Å. There are seven inequivalent Fe3+ sites. In the first Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Fe–O bond distances ranging from 1.94–2.10 Å. In the second Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Fe–O bond distances ranging from 1.94–2.08 Å. In the third Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Fe–O bond distances ranging from 1.95–2.08 Å. In the fourth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Fe–O bond distances ranging from 1.95–2.08 Å. In the fifth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six PO4 tetrahedra and edges with two LiO4 trigonal pyramids. There are a spread of Fe–O bond distances ranging from 1.96–2.10 Å. In the sixth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Fe–O bond distances ranging from 1.94–2.09 Å. In the seventh Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six PO4 tetrahedra and edges with two LiO4 trigonal pyramids. There are a spread of Fe–O bond distances ranging from 1.95–2.07 Å. There are twelve inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra and corners with three FeO6 octahedra. The corner-sharing octahedra tilt angles range from 25–36°. There are a spread of P–O bond distances ranging from 1.52–1.56 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four FeO6 octahedra and a cornercorner with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 26–35°. There is two shorter (1.53 Å) and two longer (1.55 Å) P–O bond length. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four FeO6 octahedra and a cornercorner with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 26–35°. There is two shorter (1.53 Å) and two longer (1.55 Å) P–O bond length. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with three FeO6 octahedra, and corners with two LiO4 trigonal pyramids. The corner-sharing octahedra tilt angles range from 27–36°. There are a spread of P–O bond distances ranging from 1.52–1.58 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four FeO6 octahedra and corners with two LiO4 trigonal pyramids. The corner-sharing octahedra tilt angles range from 10–43°. There is one shorter (1.53 Å) and three longer (1.55 Å) P–O bond length. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four FeO6 octahedra. The corner-sharing octahedra tilt angles range from 10–43°. There is one shorter (1.53 Å) and three longer (1.55 Å) P–O bond length. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with three FeO6 octahedra, and a cornercorner with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 11–43°. There are a spread of P–O bond distances ranging from 1.52–1.58 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four FeO6 octahedra and corners with two LiO4 trigonal pyramids. The corner-sharing octahedra tilt angles range from 11–42°. There is one shorter (1.53 Å) and three longer (1.55 Å) P–O bond length. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with three FeO6 octahedra, and a cornercorner with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 10–44°. There are a spread of P–O bond distances ranging from 1.52–1.57 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, corners with three FeO6 octahedra, and corners with two LiO4 trigonal pyramids. The corner-sharing octahedra tilt angles range from 13–43°. There is one shorter (1.54 Å) and three longer (1.55 Å) P–O bond length. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with three FeO6 octahedra, and a cornercorner with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 11–43°. There are a spread of P–O bond distances ranging from 1.53–1.58 Å. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four FeO6 octahedra and corners with three LiO4 trigonal pyramids. The corner-sharing octahedra tilt angles range from 10–43°. There is one shorter (1.53 Å) and three longer (1.55 Å) P–O bond length. There are forty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a bent 150 degrees geometry to one Fe3+ and one P5+ atom. In the second O2- site, O2- is bonded in a bent 150 degrees geometry to one Fe3+ and one P5+ atom. In the third O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Fe3+, and one P5+ atom. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Fe3+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Fe3+, and one P5+ atom. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Fe3+, and one P5+ atom. In the seventh O2- site, O2- is bonded in a linear geometry to one Fe3+ and one P5+ atom. In the eighth O2- site, O2- is bonded in a linear geometry to one Fe3+ and one P5+ atom. In the ninth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Fe3+, and one P5+ atom. In the tenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Fe3+, and one P5+ atom. In the eleventh O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Fe3+, and one P5+ atom. In the twelfth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Fe3+, and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Fe3+, and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Fe3+, and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Fe3+, and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Fe3+, and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a linear geometry to one Fe3+ and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a linear geometry to one Fe3+ and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Fe3+, and one P5+ atom. In the twentieth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Fe3+, and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Fe3+, and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Fe3+, and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a bent 150 degrees geometry to one Fe3+ and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a bent 150 degrees geometry to one Fe3+ and one P5+ atom. In the twenty-fifth O2- site, O2- is bonded in a bent 150 degrees geometry to one Fe3+ and one P5+ atom. In the twenty-sixth O2- site, O2- is bonded in a bent 150 degrees geometry to one Fe3+ and one P5+ atom. In the twenty-seventh O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn7+, and one P5+ atom. In the twenty-eighth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Fe3+, and one P5+ atom. In the twenty-ninth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Fe3+, and one P5+ atom. In the thirtieth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Fe3+, and one P5+ atom. In the thirty-first O2- site, O2- is bonded in a linear geometry to one Fe3+ and one P5+ atom. In the thirty-second O2- site, O2- is bonded in a linear geometry to one Mn7+ and one P5+ atom. In the thirty-third O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Fe3+, and one P5+ atom. In the thirty-fourth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Mn7+, and one P5+ atom. In the thirty-fifth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Fe3+, and one P5+ atom. In the thirty-sixth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Fe3+, and one P5+ atom. In the thirty-seventh O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Fe3+, and one P5+ atom. In the thirty-eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn7+, and one P5+ atom. In the thirty-ninth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Fe3+, and one P5+ atom. In the fortieth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Fe3+, and one P5+ atom. In the forty-first O2- site, O2- is bonded in a linear geometry to one Fe3+ and one P5+ atom. In the forty-second O2- site, O2- is bonded in a linear geometry to one Fe3+ and one P5+ atom. In

36 MATERIALS SCIENCE↗

Materials Data on Mg2V6Cu4O21 by Materials Project

Mg2V6Cu4O21 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are four inequivalent Mg2+ sites. In the first Mg2+ site, Mg2+ is bonded to five O2- atoms to form MgO5 trigonal bipyramids that share corners with five VO4 tetrahedra and edges with two equivalent CuO5 trigonal bipyramids. There are a spread of Mg–O bond distances ranging from 2.01–2.07 Å. In the second Mg2+ site, Mg2+ is bonded to five O2- atoms to form MgO5 trigonal bipyramids that share corners with five VO4 tetrahedra and edges with two equivalent CuO5 trigonal bipyramids. There are a spread of Mg–O bond distances ranging from 2.02–2.06 Å. In the third Mg2+ site, Mg2+ is bonded to five O2- atoms to form MgO5 trigonal bipyramids that share corners with five VO4 tetrahedra and edges with two equivalent CuO5 trigonal bipyramids. There are a spread of Mg–O bond distances ranging from 2.03–2.06 Å. In the fourth Mg2+ site, Mg2+ is bonded to five O2- atoms to form MgO5 trigonal bipyramids that share corners with five VO4 tetrahedra and edges with two equivalent CuO5 trigonal bipyramids. There are a spread of Mg–O bond distances ranging from 2.01–2.06 Å. There are twelve 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 VO4 tetrahedra, corners with two CuO5 trigonal bipyramids, and corners with three MgO5 trigonal bipyramids. There are a spread of V–O bond distances ranging from 1.68–1.81 Å. In the second V5+ site, V5+ is bonded to four O2- atoms to form VO4 tetrahedra that share a cornercorner with one VO4 tetrahedra, corners with two equivalent MgO5 trigonal bipyramids, and corners with three CuO5 trigonal bipyramids. There are a spread of V–O bond distances ranging from 1.67–1.79 Å. In the third V5+ site, V5+ is bonded to four O2- atoms to form VO4 tetrahedra that share a cornercorner with one VO4 tetrahedra, corners with two equivalent MgO5 trigonal bipyramids, and corners with three CuO5 trigonal bipyramids. There are a spread of V–O bond distances ranging from 1.67–1.79 Å. In the fourth V5+ site, V5+ is bonded to four O2- atoms to form VO4 tetrahedra that share a cornercorner with one VO4 tetrahedra, corners with two CuO5 trigonal bipyramids, and corners with three MgO5 trigonal bipyramids. There are a spread of V–O bond distances ranging from 1.67–1.81 Å. In the fifth V5+ site, V5+ is bonded to four O2- atoms to form VO4 tetrahedra that share a cornercorner with one VO4 tetrahedra, a cornercorner with one MgO5 trigonal bipyramid, and corners with four CuO5 trigonal bipyramids. There are a spread of V–O bond distances ranging from 1.69–1.81 Å. In the sixth V5+ site, V5+ is bonded to four O2- atoms to form VO4 tetrahedra that share a cornercorner with one VO4 tetrahedra, a cornercorner with one MgO5 trigonal bipyramid, and corners with four CuO5 trigonal bipyramids. There are a spread of V–O bond distances ranging from 1.69–1.82 Å. In the seventh V5+ site, V5+ is bonded to four O2- atoms to form VO4 tetrahedra that share a cornercorner with one VO4 tetrahedra, corners with two MgO5 trigonal bipyramids, and corners with three CuO5 trigonal bipyramids. There are a spread of V–O bond distances ranging from 1.70–1.82 Å. In the eighth V5+ site, V5+ is bonded to four O2- atoms to form VO4 tetrahedra that share a cornercorner with one VO4 tetrahedra, a cornercorner with one MgO5 trigonal bipyramid, and corners with four CuO5 trigonal bipyramids. There are a spread of V–O bond distances ranging from 1.69–1.81 Å. In the ninth V5+ site, V5+ is bonded to four O2- atoms to form VO4 tetrahedra that share a cornercorner with one VO4 tetrahedra, a cornercorner with one MgO5 trigonal bipyramid, and corners with four CuO5 trigonal bipyramids. There are a spread of V–O bond distances ranging from 1.69–1.81 Å. In the tenth V5+ site, V5+ is bonded to four O2- atoms to form VO4 tetrahedra that share a cornercorner with one VO4 tetrahedra, corners with two MgO5 trigonal bipyramids, and corners with three CuO5 trigonal bipyramids. There are a spread of V–O bond distances ranging from 1.70–1.81 Å. In the eleventh V5+ site, V5+ is bonded to four O2- atoms to form VO4 tetrahedra that share a cornercorner with one VO4 tetrahedra, a cornercorner with one MgO5 trigonal bipyramid, and corners with four CuO5 trigonal bipyramids. There are a spread of V–O bond distances ranging from 1.70–1.80 Å. In the twelfth V5+ site, V5+ is bonded to four O2- atoms to form VO4 tetrahedra that share a cornercorner with one VO4 tetrahedra, a cornercorner with one MgO5 trigonal bipyramid, and corners with four CuO5 trigonal bipyramids. There are a spread of V–O bond distances ranging from 1.70–1.80 Å. There are eight inequivalent Cu2+ sites. In the first Cu2+ site, Cu2+ is bonded to five O2- atoms to form distorted CuO5 trigonal bipyramids that share corners with five VO4 tetrahedra and edges with two equivalent CuO5 trigonal bipyramids. There are a spread of Cu–O bond distances ranging from 1.91–2.36 Å. In the second Cu2+ site, Cu2+ is bonded to five O2- atoms to form distorted CuO5 trigonal bipyramids that share corners with five VO4 tetrahedra and edges with two equivalent CuO5 trigonal bipyramids. There are a spread of Cu–O bond distances ranging from 1.91–2.36 Å. In the third Cu2+ site, Cu2+ is bonded to five O2- atoms to form CuO5 trigonal bipyramids that share corners with five VO4 tetrahedra and edges with two equivalent MgO5 trigonal bipyramids. There are a spread of Cu–O bond distances ranging from 1.93–2.30 Å. In the fourth Cu2+ site, Cu2+ is bonded to five O2- atoms to form CuO5 trigonal bipyramids that share corners with five VO4 tetrahedra and edges with two equivalent MgO5 trigonal bipyramids. There are a spread of Cu–O bond distances ranging from 1.93–2.31 Å. In the fifth Cu2+ site, Cu2+ is bonded to five O2- atoms to form CuO5 trigonal bipyramids that share corners with five VO4 tetrahedra and edges with two equivalent MgO5 trigonal bipyramids. There are a spread of Cu–O bond distances ranging from 1.92–2.30 Å. In the sixth Cu2+ site, Cu2+ is bonded to five O2- atoms to form CuO5 trigonal bipyramids that share corners with five VO4 tetrahedra and edges with two equivalent MgO5 trigonal bipyramids. There are a spread of Cu–O bond distances ranging from 1.93–2.28 Å. In the seventh Cu2+ site, Cu2+ is bonded to five O2- atoms to form distorted CuO5 trigonal bipyramids that share corners with five VO4 tetrahedra and edges with two equivalent CuO5 trigonal bipyramids. There are a spread of Cu–O bond distances ranging from 1.93–2.34 Å. In the eighth Cu2+ site, Cu2+ is bonded to five O2- atoms to form distorted CuO5 trigonal bipyramids that share corners with five VO4 tetrahedra and edges with two equivalent CuO5 trigonal bipyramids. There are a spread of Cu–O bond distances ranging from 1.93–2.34 Å. There are forty-two inequivalent O2- sites. In the first O2- site, O2- is bonded in a bent 150 degrees geometry to one Mg2+ and one V5+ atom. In the second O2- site, O2- is bonded in a bent 150 degrees geometry to one V5+ and one Cu2+ atom. In the third O2- site, O2- is bonded in a bent 150 degrees geometry to one V5+ and one Cu2+ atom. In the fourth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mg2+ and one V5+ atom. In the fifth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mg2+ and one V5+ atom. In the sixth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mg2+ and one V5+ atom. In the seventh O2- site, O2- is bonded in a bent 150 degrees geometry to one V5+ and one Cu2+ atom. In the eighth O2- site, O2- is bonded in a bent 150 degrees geometry to one V5+ and one Cu2+ atom. In the ninth O2- site, O2- is bonded in a bent 150 degrees geometry to one V5+ and one Cu2+ atom. In the tenth O2- site, O2- is bonded in a bent 150 degrees geometry to one V5+ and one Cu2+ atom. In the eleventh O2- site, O2- is bonded in a bent 150 degrees geometry to one V5+ and one Cu2+ atom. In the twelfth O2- site, O2- is bonded in a bent 150 degrees geometry to one V5+ and one Cu2+ atom. In the thirteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Mg2+, one V5+, and one Cu2+ atom. In the fourteenth O2- site, O2- is bonded in a 3-coordinate geometry to one V5+ and two Cu2+ atoms. In the fifteenth O2- site, O2- is bonded in a 3-coordinate geometry to one V5+ and two Cu2+ atoms. In the sixteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Mg2+, one V5+, and one Cu2+ atom. In the seventeenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Mg2+, one V5+, and one Cu2+ atom. In the eighteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Mg2+, one V5+, and one Cu2+ atom. In the nineteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Mg2+, one V5+, and one Cu2+ atom. In the twentieth O2- site, O2- is bonded in a 3-coordinate geometry to one V5+ and two Cu2+ atoms. In the twenty-first O2- site, O2- is bonded in a 3-coordinate geometry to one V5+ and two Cu2+ atoms. In the twenty-second O2- site, O2- is bonded in a 3-coordinate geometry to one Mg2+, one V5+, and one Cu2+ atom. In the twenty-third O2- site, O2- is bonded in a 3-coordinate geometry to one Mg2+, one V5+, and one Cu2+ atom. In the twenty-fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Mg2+, one V5+, and one Cu2+ atom. In the twenty-fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Mg2+, one V5+, and one Cu2+ atom. In the twenty-sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to one V5+ and two Cu2+ atoms. In the twenty-seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to one V5+ and two Cu2+ atoms. In the twenty-eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Mg2+, one V5+, and one Cu2+ atom. In the twenty-ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Mg2+, one V5+, and one Cu2+ atom. In the thirtieth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Mg2+, one V5+, and one Cu2+ atom. In the thirty-first O2- site, O2- is bonded in a distorted trigonal planar geometry to one Mg2+, one V5+, and one Cu2+ atom. In the thirty-second O2- site, O2- is bonded in a distorted trigonal planar geometry to one V5+ and two Cu2+ atoms. In the thirty-third O2- site, O2- is bonded in a distorted trigonal planar geometry to one V5+ and two Cu2+ atoms. In the thirty-fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Mg2+, one V5+, and one Cu2+ atom. In the thirty-fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Mg2+, one V5+, and one Cu2+ atom. In the thirty-sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Mg2+, one V5+, and one Cu2+ atom. In the thirty-seventh O2- site, O2- is bonded in a bent 150 degrees geometry to two V5+ atoms. In the thirty-eighth O2- site, O2- is bonded in a bent 150 degrees geometry to two V5+ atoms. In the thirty-ninth O2- site, O2- is bonded in a bent 150 degrees geometry to two V5+ atoms. In the fortieth O2- site, O2- is bonded in a bent 150 degrees geometry to two V5+ atoms. In the forty-first O2- site, O2- is bonded in a bent 150 degrees geometry to two V5+ atoms. In the forty-second O2- site, O2- is bonded in a bent 150 degrees geometry to two V5+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Li6MnV3(PO4)6 by Materials Project

Li6V3Mn(PO4)6 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twelve inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a 5-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.96–2.16 Å. In the second Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.97–2.61 Å. In the third Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.91–2.05 Å. In the fourth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.98–2.02 Å. In the fifth 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 1.98–2.59 Å. In the sixth Li1+ site, Li1+ is bonded in a 5-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.96–2.15 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 1.97–2.52 Å. In the eighth 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 1.99–2.60 Å. In the ninth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.98–2.04 Å. In the tenth 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 1.97–2.03 Å. In the eleventh Li1+ site, Li1+ is bonded in a 4-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.98–2.65 Å. In the twelfth 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 1.96–2.53 Å. There are six inequivalent V+3.33+ sites. In the first V+3.33+ site, V+3.33+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.94–2.20 Å. In the second V+3.33+ site, V+3.33+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.93–2.19 Å. In the third V+3.33+ site, V+3.33+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.94–2.09 Å. In the fourth V+3.33+ site, V+3.33+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.94–2.10 Å. In the fifth V+3.33+ site, V+3.33+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.92–2.11 Å. In the sixth V+3.33+ site, V+3.33+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.94–2.18 Å. There are two inequivalent Mn2+ sites. In the first Mn2+ site, Mn2+ 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 1.92–2.20 Å. In the second Mn2+ site, Mn2+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 1.94–2.31 Å. There are twelve inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra and corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 27–43°. There are a spread of P–O bond distances ranging from 1.53–1.56 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 and corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 19–44°. There are a spread of P–O bond distances ranging from 1.54–1.57 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 and corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 13–48°. There are a spread of P–O bond distances ranging from 1.51–1.58 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and corners with two MnO6 octahedra. The corner-sharing octahedra tilt angles range from 12–45°. There are a spread of P–O bond distances ranging from 1.51–1.57 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four VO6 octahedra. The corner-sharing octahedra tilt angles range from 13–44°. There are a spread of P–O bond distances ranging from 1.53–1.57 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 and corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 30–41°. There are a spread of P–O bond distances ranging from 1.53–1.56 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra and corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 26–42°. There is one shorter (1.53 Å) and three longer (1.55 Å) P–O bond length. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra and corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 13–45°. There are a spread of P–O bond distances ranging from 1.53–1.57 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 and corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 16–45°. There are a spread of P–O bond distances ranging from 1.50–1.57 Å. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four VO6 octahedra. The corner-sharing octahedra tilt angles range from 14–45°. There are a spread of P–O bond distances ranging from 1.51–1.57 Å. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and corners with two MnO6 octahedra. The corner-sharing octahedra tilt angles range from 18–46°. There are a spread of P–O bond distances ranging from 1.53–1.57 Å. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra and corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 31–41°. All P–O bond lengths are 1.55 Å. There are forty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+3.33+, and one P5+ atom. In the second O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, one V+3.33+, and one P5+ atom. In the third O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+3.33+, and one P5+ atom. In the fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn2+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+3.33+ and one P5+ atom. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one V+3.33+, and one P5+ atom. In the seventh O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn2+ and one P5+ atom. In the eighth O2- site, O2- is bonded to two Li1+, one V+3.33+, and one P5+ atom to form distorted corner-sharing OLi2VP tetrahedra. In the ninth O2- site, O2- is bonded to two Li1+, one Mn2+, and one P5+ atom to form distorted OLi2MnP tetrahedra that share a cornercorner with one OLi2VP tetrahedra and an edgeedge with one OLi2MnP tetrahedra. In the tenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+3.33+, and one P5+ atom. In the eleventh O2- site, O2- is bonded in a distorted linear geometry to one V+3.33+ and one P5+ atom. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one V+3.33+, and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one V+3.33+, and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a distorted linear geometry to one V+3.33+ and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn2+, and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one V+3.33+, and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a linear geometry to one V+3.33+ and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one V+3.33+, and one P5+ atom. In the nineteenth O2- site, O2- is bonded to two Li1+, one Mn2+, and one P5+ atom to form distorted edge-sharing OLi2MnP tetrahedra. In the twentieth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+3.33+ and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+3.33+, and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, one V+3.33+, and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+3.33+, and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn2+, and one P5+ atom. In the twenty-fifth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+3.33+, and one P5+ atom. In the twenty-sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+3.33+, and one P5+ atom. In the twenty-seventh O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Mn2+, and one P5+ atom. In the twenty-eighth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+3.33+, and one P5+ atom. In the twenty-ninth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+3.33+ and one P5+ atom. In the thirtieth O2- site, O2- is bonded to two Li1+, one V+3.33+, and one P5+ atom to form a mixture of distorted edge and corner-sharing OLi2VP tetrahedra. In the thirty-first O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Mn2+, and one P5+ atom. In the thirty-second O2- site, O2- is bonded in a linear geometry to one V+3.33+ and one P5+ atom. In the thirty-third O2- site, O2- is bonded to two Li1+, one V+3.33+, and one P5+ atom to form distorted corner-sharing OLi2VP tetrahedra. In the thirty-fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+3.33+, and one P5+ atom. In the thirty-fifth O2- site, O2- is bonded in a distorted linear geometry to one Mn2+ and one P5+ atom. In the thirty-sixth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one V+3.33+, and one P5+ atom. In the thirty-seventh O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Mn2+, and one P5+ atom. In the thirty-eighth O2- site, O2- is bonded in a distorted linear geometry to one V+3.33+ and one P5+ atom. In the thirty-ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+3.33+, and one P5+ atom. In the fortieth O2- site, O2- is bonded to two Li1+, one V+3.33+, and one P5+ atom to form distorted edge-sharing OLi2VP tetrahedra. In the forty-first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one V+3.33+, and one P5+ atom. In the forty-second O2- site,

36 MATERIALS SCIENCE↗

Materials Data on Dy2Si2O7 by Materials Project

Dy2Si2O7 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twelve inequivalent Dy3+ sites. In the first Dy3+ site, Dy3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Dy–O bond distances ranging from 2.26–2.63 Å. In the second Dy3+ site, Dy3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Dy–O bond distances ranging from 2.23–2.71 Å. In the third Dy3+ site, Dy3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Dy–O bond distances ranging from 2.29–2.77 Å. In the fourth Dy3+ site, Dy3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Dy–O bond distances ranging from 2.28–2.77 Å. In the fifth Dy3+ site, Dy3+ is bonded in a 7-coordinate geometry to eight O2- atoms. There are a spread of Dy–O bond distances ranging from 2.25–2.77 Å. In the sixth Dy3+ site, Dy3+ is bonded in a 6-coordinate geometry to eight O2- atoms. There are a spread of Dy–O bond distances ranging from 2.27–2.80 Å. In the seventh Dy3+ site, Dy3+ is bonded to six O2- atoms to form distorted DyO6 octahedra that share corners with seven SiO4 tetrahedra. There are a spread of Dy–O bond distances ranging from 2.22–2.42 Å. In the eighth Dy3+ site, Dy3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Dy–O bond distances ranging from 2.21–2.42 Å. In the ninth Dy3+ site, Dy3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Dy–O bond distances ranging from 2.29–2.56 Å. In the tenth Dy3+ site, Dy3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Dy–O bond distances ranging from 2.28–2.59 Å. In the eleventh Dy3+ site, Dy3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Dy–O bond distances ranging from 2.24–2.49 Å. In the twelfth Dy3+ site, Dy3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Dy–O bond distances ranging from 2.23–2.65 Å. There are twelve inequivalent Si4+ sites. In the first Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two equivalent DyO6 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 61–68°. There are a spread of Si–O bond distances ranging from 1.61–1.67 Å. In the second Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one DyO6 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 66°. There are a spread of Si–O bond distances ranging from 1.61–1.67 Å. In the third Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one DyO6 octahedra. The corner-sharing octahedral tilt angles are 51°. There are a spread of Si–O bond distances ranging from 1.62–1.67 Å. In the fourth Si4+ site, Si4+ is bonded in a tetrahedral geometry to four O2- atoms. There are a spread of Si–O bond distances ranging from 1.62–1.66 Å. In the fifth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one DyO6 octahedra and a cornercorner with one SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 56°. There are a spread of Si–O bond distances ranging from 1.62–1.73 Å. In the sixth Si4+ site, Si4+ is bonded to four O2- atoms to form corner-sharing SiO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.61–1.75 Å. In the seventh Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two equivalent DyO6 octahedra and a cornercorner with one SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 49–65°. There are a spread of Si–O bond distances ranging from 1.62–1.68 Å. In the eighth Si4+ site, Si4+ is bonded to four O2- atoms to form corner-sharing SiO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.62–1.68 Å. In the ninth Si4+ site, Si4+ is bonded in a tetrahedral geometry to four O2- atoms. There are a spread of Si–O bond distances ranging from 1.62–1.68 Å. In the tenth Si4+ site, Si4+ is bonded to four O2- atoms to form corner-sharing SiO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.62–1.69 Å. In the eleventh Si4+ site, Si4+ is bonded to four O2- atoms to form corner-sharing SiO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.62–1.74 Å. In the twelfth Si4+ site, Si4+ is bonded to four O2- atoms to form corner-sharing SiO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.61–1.73 Å. There are forty-two inequivalent O2- sites. In the first O2- site, O2- is bonded in a 1-coordinate geometry to three Dy3+ and one Si4+ atom. In the second O2- site, O2- is bonded in a 1-coordinate geometry to three Dy3+ and one Si4+ atom. In the third O2- site, O2- is bonded in a 1-coordinate geometry to three Dy3+ and one Si4+ atom. In the fourth O2- site, O2- is bonded in a 1-coordinate geometry to three Dy3+ and one Si4+ atom. In the fifth O2- site, O2- is bonded in a 1-coordinate geometry to three Dy3+ and one Si4+ atom. In the sixth O2- site, O2- is bonded in a 1-coordinate geometry to three Dy3+ and one Si4+ atom. In the seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to two Dy3+ and one Si4+ atom. In the eighth O2- site, O2- is bonded in a 3-coordinate geometry to two Dy3+ and one Si4+ atom. In the ninth O2- site, O2- is bonded in a 1-coordinate geometry to two Dy3+ and one Si4+ atom. In the tenth O2- site, O2- is bonded in a 1-coordinate geometry to two Dy3+ and one Si4+ atom. In the eleventh O2- site, O2- is bonded in a 3-coordinate geometry to two Dy3+ and one Si4+ atom. In the twelfth O2- site, O2- is bonded in a 3-coordinate geometry to two Dy3+ and one Si4+ atom. In the thirteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Dy3+ and one Si4+ atom. In the fourteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Dy3+ and one Si4+ atom. In the fifteenth O2- site, O2- is bonded in a 1-coordinate geometry to two Dy3+ and one Si4+ atom. In the sixteenth O2- site, O2- is bonded in a 1-coordinate geometry to two Dy3+ and one Si4+ atom. In the seventeenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Dy3+ and one Si4+ atom. In the eighteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Dy3+ and one Si4+ atom. In the nineteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Dy3+ and one Si4+ atom. In the twentieth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Dy3+ and one Si4+ atom. In the twenty-first O2- site, O2- is bonded in a 3-coordinate geometry to two Dy3+ and one Si4+ atom. In the twenty-second O2- site, O2- is bonded in a 3-coordinate geometry to two Dy3+ and one Si4+ atom. In the twenty-third O2- site, O2- is bonded in a 1-coordinate geometry to two Dy3+ and one Si4+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two Dy3+ and two Si4+ atoms. In the twenty-fifth O2- site, O2- is bonded in a 3-coordinate geometry to two Dy3+ and one Si4+ atom. In the twenty-sixth O2- site, O2- is bonded in a 3-coordinate geometry to two Dy3+ and one Si4+ atom. In the twenty-seventh O2- site, O2- is bonded in a 4-coordinate geometry to three Dy3+ and one Si4+ atom. In the twenty-eighth O2- site, O2- is bonded in a 1-coordinate geometry to three Dy3+ and one Si4+ atom. In the twenty-ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Dy3+ and one Si4+ atom. In the thirtieth O2- site, O2- is bonded in a 3-coordinate geometry to two Dy3+ and one Si4+ atom. In the thirty-first O2- site, O2- is bonded in a 4-coordinate geometry to three Dy3+ and one Si4+ atom. In the thirty-second O2- site, O2- is bonded in a 4-coordinate geometry to three Dy3+ and one Si4+ atom. In the thirty-third O2- site, O2- is bonded in a 2-coordinate geometry to one Dy3+ and two Si4+ atoms. In the thirty-fourth O2- site, O2- is bonded in a 1-coordinate geometry to two Dy3+ and one Si4+ atom. In the thirty-fifth O2- site, O2- is bonded in a bent 120 degrees geometry to two Si4+ atoms. In the thirty-sixth O2- site, O2- is bonded in a bent 120 degrees geometry to two Si4+ atoms. In the thirty-seventh O2- site, O2- is bonded in a 4-coordinate geometry to three Dy3+ and one Si4+ atom. In the thirty-eighth O2- site, O2- is bonded in a 1-coordinate geometry to three Dy3+ and one Si4+ atom. In the thirty-ninth O2- site, O2- is bonded in a distorted single-bond geometry to three Dy3+ and one Si4+ atom. In the fortieth O2- site, O2- is bonded in a distorted single-bond geometry to three Dy3+ and one Si4+ atom. In the forty-first O2- site, O2- is bonded in a distorted trigonal planar geometry to one Dy3+ and two Si4+ atoms. In the forty-second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Dy3+ and two Si4+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Na2FePCO7 by Materials Project

Na2FeCPO7 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twelve 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 2.40–2.79 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 2.38–2.80 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 2.39–2.89 Å. In the fourth 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 2.25–2.83 Å. In the 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 2.25–2.82 Å. In the sixth 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 2.27–2.81 Å. In the seventh 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 2.24–2.85 Å. In the eighth Na1+ site, Na1+ is bonded to seven O2- atoms to form distorted NaO7 pentagonal bipyramids that share a cornercorner with one FeO6 octahedra, corners with two equivalent NaO7 pentagonal bipyramids, corners with two PO4 tetrahedra, an edgeedge with one FeO6 octahedra, edges with two equivalent NaO6 octahedra, an edgeedge with one PO4 tetrahedra, and a faceface with one FeO6 octahedra. The corner-sharing octahedral tilt angles are 66°. There are a spread of Na–O bond distances ranging from 2.30–2.80 Å. In the 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 2.25–2.83 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 2.37–2.81 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 2.39–2.80 Å. In the twelfth Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share corners with two equivalent NaO6 octahedra, corners with four FeO6 octahedra, edges with two equivalent NaO7 pentagonal bipyramids, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 0–56°. There are a spread of Na–O bond distances ranging from 2.28–2.83 Å. There are six inequivalent Fe3+ sites. In the first Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with four PO4 tetrahedra. There are a spread of Fe–O bond distances ranging from 1.97–2.13 Å. In the second Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with four PO4 tetrahedra. There are a spread of Fe–O bond distances ranging from 1.98–2.13 Å. In the third Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two equivalent NaO6 octahedra, a cornercorner with one NaO7 pentagonal bipyramid, and corners with four PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 0–18°. There are a spread of Fe–O bond distances ranging from 1.96–2.17 Å. In the fourth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share a cornercorner with one NaO6 octahedra, corners with four PO4 tetrahedra, an edgeedge with one NaO7 pentagonal bipyramid, and a faceface with one NaO7 pentagonal bipyramid. The corner-sharing octahedral tilt angles are 56°. There are a spread of Fe–O bond distances ranging from 1.96–2.15 Å. In the fifth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with four PO4 tetrahedra. There are a spread of Fe–O bond distances ranging from 1.98–2.14 Å. In the sixth Fe3+ site, Fe3+ is bonded to six O2- atoms to form distorted FeO6 octahedra that share a cornercorner with one NaO6 octahedra and corners with four PO4 tetrahedra. The corner-sharing octahedral tilt angles are 55°. There are a spread of Fe–O bond distances ranging from 1.90–2.15 Å. There are six inequivalent C4+ sites. In the first C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of C–O bond distances ranging from 1.27–1.32 Å. In the second C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of C–O bond distances ranging from 1.27–1.32 Å. In the third C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.29 Å) and two longer (1.30 Å) C–O bond length. In the fourth C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of C–O bond distances ranging from 1.27–1.32 Å. In the fifth C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of C–O bond distances ranging from 1.27–1.32 Å. In the sixth C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.25 Å) and two longer (1.33 Å) C–O bond length. There are six inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four FeO6 octahedra. The corner-sharing octahedra tilt angles range from 37–41°. There are a spread of P–O bond distances ranging from 1.53–1.57 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four FeO6 octahedra. The corner-sharing octahedra tilt angles range from 34–43°. There are a spread of P–O bond distances ranging from 1.54–1.56 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four FeO6 octahedra and a cornercorner with one NaO7 pentagonal bipyramid. The corner-sharing octahedra tilt angles range from 33–42°. There are a spread of P–O bond distances ranging from 1.54–1.56 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four FeO6 octahedra. The corner-sharing octahedra tilt angles range from 34–43°. There are a spread of P–O bond distances ranging from 1.54–1.56 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four FeO6 octahedra, a cornercorner with one NaO7 pentagonal bipyramid, an edgeedge with one NaO6 octahedra, and an edgeedge with one NaO7 pentagonal bipyramid. The corner-sharing octahedra tilt angles range from 31–46°. There are a spread of P–O bond distances ranging from 1.53–1.57 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four FeO6 octahedra. The corner-sharing octahedra tilt angles range from 34–45°. There are a spread of P–O bond distances ranging from 1.54–1.56 Å. There are forty-two inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to three Na1+ and one C4+ atom. In the second O2- site, O2- is bonded in a 4-coordinate geometry to three Na1+ and one C4+ atom. In the third O2- site, O2- is bonded in a distorted single-bond geometry to two equivalent Na1+ and one C4+ atom. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Fe3+, and one C4+ atom. In the fifth O2- site, O2- is bonded in a 1-coordinate geometry to two Na1+, one Fe3+, and one C4+ atom. In the sixth O2- site, O2- is bonded in a distorted T-shaped geometry to one Na1+, one Fe3+, and one C4+ atom. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Fe3+, and one C4+ atom. In the eighth O2- site, O2- is bonded in a 1-coordinate geometry to two Na1+, one Fe3+, and one C4+ atom. In the ninth O2- site, O2- is bonded in a distorted T-shaped geometry to one Na1+, one Fe3+, and one C4+ atom. In the tenth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Fe3+, and one P5+ atom. In the eleventh O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Fe3+, and one P5+ atom. In the twelfth O2- site, O2- is bonded in a 1-coordinate geometry to three Na1+, one Fe3+, and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Fe3+, and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a 1-coordinate geometry to three Na1+, one Fe3+, and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Fe3+, and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Fe3+, and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Fe3+, and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Fe3+ and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Fe3+, and one P5+ atom. In the twentieth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Fe3+, and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a bent 150 degrees geometry to one Fe3+ and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Fe3+, and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Fe3+, and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Fe3+, and one P5+ atom. In the twenty-fifth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Fe3+, and one P5+ atom. In the twenty-sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Na1+, one Fe3+, and one P5+ atom. In the twenty-seventh O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Fe3+, and one P5+ atom. In the twenty-eighth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Fe3+, and one P5+ atom. In the twenty-ninth O2- site, O2- is bonded in a 1-coordinate geometry to three Na1+, one Fe3+, and one P5+ atom. In the thirtieth O2- site, O2- is bonded in a 1-coordinate geometry to three Na1+, one Fe3+, and one P5+ atom. In the thirty-first O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Fe3+, and one P5+ atom. In the thirty-second O2- site, O2- is bonded in a 1-coordinate geometry to three Na1+, one Fe3+, and one P5+ atom. In the thirty-third O2- site, O2- is bonded in a 1-coordinate geometry to three Na1+, one Fe3+, and one P5+ atom. In the thirty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Fe3+, and one C4+ atom. In the thirty-fifth O2- site, O2- is bonded in a 1-coordinate geometry to two Na1+, one Fe3+, and one C4+ atom. In the thirty-sixth O2- site, O2- is bonded in a 1-coordinate geometry to three Na1+, one Fe3+, and one C4+ atom. In the thirty-seventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Na1+, one Fe3+, and one C4+ atom. In the thirty-eighth O2- site, O2- is bonded in a 1-coordinate geometry to two Na1+, one Fe3+, and one C4+ atom. In the thirty-ninth O2- site, O2- is bonded in a 1-coordinate geometry to three Na1+, one Fe3+, and one C4+ atom. In the fortieth O2- site, O2- is bonded in a 4-coordinate geometry to three Na1+ and one C4+ atom. In the forty-first O2- site, O2- is bonded in a 4-coordinate geometry to three Na1+ and one C4+ atom. In the forty-second O2- site, O2- is bonded in a 5-coordinate geometry to four Na1+ and one C4+ atom.

36 MATERIALS SCIENCE↗

Simulation-based characterization of the variability of earthquake risk to buildings in the near-field

Recent advancements in high performance computing platforms and computational workflow for regional-scale simulations are enabling unprecedented modeling of fault-to-structure earthquake processes. Regional simulations resolving ground motions at frequencies relevant to engineered systems are becoming computationally viable and provide a new capability to improve understanding of the geographical distribution and intensity of risk to buildings and critical infrastructure. As computational capabilities advance, it is essential to move beyond illustrative single rupture realizations for scenario earthquake events towards the development of a full suite of rupture realizations that appropriately characterize the range of risk to building systems. The work described in this article investigates the application of a suite of fault rupture realizations with the objective of assessing near-fault, site-specific seismic demand variability for building structures. A representative high-performance regional-scale computational model is utilized to execute ground motion and building response simulations based on 18 kinematic rupture realizations of an M7 strike-slip scenario earthquake. The fault rupture models for the scenario earthquake are created by systematically perturbing the hypocenter location and stochastically generating rupture parameters (slip, rise time, rake angle) to represent a breadth of ground motion intensities resulting from the spatial and temporal variabilities of an earthquake rupture process. The resulting seismic demand variability for three-story (short period) and forty-story (long period) steel moment-resisting frame buildings is characterized in terms of the median and distribution of peak inter-story drift ratio for a range of near-fault sites. The full suite of 18 fault rupture realizations and approximately 280,000 nonlinear dynamic building simulations indicate that the three-story building undergoes higher median seismic demand and significantly greater variability of demand at a given site than the forty-story building, which has important implications for the level of certainty in predicting building performance during an earthquake. The simulations performed provide deeper insight into the relationship between fault rupture parameterization and building response, which is essential information for developing a representative suite of rupture realizations for specific earthquake scenarios.

58 GEOSCIENCES↗

Identifying microbial functional guilds performing cryptic organotrophic and lithotrophic redox cycles in anaerobic granular biofilms

Granular biofilms used in anaerobic digester systems contain diverse microbial populations that interact to hydrolyze organic matter and produce methane within controlled environments. Prior research investigated the feasibility of utilizing granular biofilms obtained from an anaerobic digester to remove nitrate without the addition of exogenous electron donors. These granules possessed a unique structure of alternating light and dark iron sulfide and pyrite rich layers that potentially served as both an electron source and sink, linking carbon, nitrogen, sulfur, and iron cycles. To characterize the functional roles of diverse microbial populations enriched within these layered biofilms, we analyzed metagenomes obtained from three different granules. Comparisons between the functional gene content of forty metagenome assembled genomes (MAGs) identified phylogenetically cohesive functional guilds. Each of these functional MAG clusters was assigned to specific steps in anaerobic digestion (hydrolysis, acidogenesis, acetogenesis, and methanogenesis) and anaerobic respiration (denitrification and sulfate reduction). Comparisons with metagenomes derived from a variety of natural and engineered ecosystems confirmed that the enriched denitrifying bacteria were similar to populations typically found in wetlands and biological nitrogen removal systems. Analysis of read alignments to individual genes within the forty MAGs identified conserved genomic features that were representative of the functions that distinguished functional guilds. Overall, this research illustrates the utility of functional based classification of microorganisms for characterizing ecosystem functions and highlights the potential application of engineered ecosystems to serve as experimental models for complex natural ecosystems.

Ecosystem engineering↗

Materials Data on Sr3La21Zn2(Cu5O24)2 by Materials Project

Sr3La21Zn2(Cu5O24)2 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are three inequivalent Sr sites. In the first Sr site, Sr is bonded in a 9-coordinate geometry to nine O atoms. There are a spread of Sr–O bond distances ranging from 2.44–3.03 Å. In the second Sr site, Sr is bonded in a 9-coordinate geometry to nine O atoms. There are a spread of Sr–O bond distances ranging from 2.48–3.01 Å. In the third Sr site, Sr is bonded in a 9-coordinate geometry to nine O atoms. There are a spread of Sr–O bond distances ranging from 2.46–2.96 Å. There are twenty-one inequivalent La sites. In the first La site, La is bonded in a 2-coordinate geometry to nine O atoms. There are a spread of La–O bond distances ranging from 2.25–3.14 Å. In the second La site, La is bonded in a 9-coordinate geometry to nine O atoms. There are a spread of La–O bond distances ranging from 2.46–3.24 Å. In the third La site, La is bonded in a 4-coordinate geometry to nine O atoms. There are a spread of La–O bond distances ranging from 2.31–3.20 Å. In the fourth La site, La is bonded in a 2-coordinate geometry to eight O atoms. There are a spread of La–O bond distances ranging from 2.34–2.76 Å. In the fifth La site, La is bonded in a 2-coordinate geometry to nine O atoms. There are a spread of La–O bond distances ranging from 2.27–3.27 Å. In the sixth La site, La is bonded in a 9-coordinate geometry to eight O atoms. There are a spread of La–O bond distances ranging from 2.37–2.79 Å. In the seventh La site, La is bonded in a 2-coordinate geometry to nine O atoms. There are a spread of La–O bond distances ranging from 2.26–3.27 Å. In the eighth La site, La is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of La–O bond distances ranging from 2.39–2.76 Å. In the ninth La site, La is bonded in a 2-coordinate geometry to nine O atoms. There are a spread of La–O bond distances ranging from 2.28–3.18 Å. In the tenth La site, La is bonded in a 9-coordinate geometry to nine O atoms. There are a spread of La–O bond distances ranging from 2.32–3.20 Å. In the eleventh La site, La is bonded in a 9-coordinate geometry to nine O atoms. There are a spread of La–O bond distances ranging from 2.34–3.20 Å. In the twelfth La site, La is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of La–O bond distances ranging from 2.39–2.80 Å. In the thirteenth La site, La is bonded in a 2-coordinate geometry to nine O atoms. There are a spread of La–O bond distances ranging from 2.25–3.12 Å. In the fourteenth La site, La is bonded in a 2-coordinate geometry to nine O atoms. There are a spread of La–O bond distances ranging from 2.27–3.16 Å. In the fifteenth La site, La is bonded in a 2-coordinate geometry to nine O atoms. There are a spread of La–O bond distances ranging from 2.32–3.21 Å. In the sixteenth La site, La is bonded in a 9-coordinate geometry to nine O atoms. There are a spread of La–O bond distances ranging from 2.36–3.22 Å. In the seventeenth La site, La is bonded in a 9-coordinate geometry to nine O atoms. There are a spread of La–O bond distances ranging from 2.33–3.10 Å. In the eighteenth La site, La is bonded in a 2-coordinate geometry to nine O atoms. There are a spread of La–O bond distances ranging from 2.36–3.22 Å. In the nineteenth La site, La is bonded in a 2-coordinate geometry to nine O atoms. There are a spread of La–O bond distances ranging from 2.31–3.20 Å. In the twentieth La site, La is bonded in a 2-coordinate geometry to nine O atoms. There are a spread of La–O bond distances ranging from 2.30–3.26 Å. In the twenty-first La site, La is bonded in a 9-coordinate geometry to nine O atoms. There are a spread of La–O bond distances ranging from 2.34–3.19 Å. There are ten inequivalent Cu sites. In the first Cu site, Cu is bonded to six O atoms to form distorted CuO6 octahedra that share corners with four equivalent ZnO6 octahedra. The corner-sharing octahedra tilt angles range from 7–13°. There are a spread of Cu–O bond distances ranging from 1.89–2.51 Å. In the second Cu site, Cu is bonded to six O atoms to form corner-sharing CuO6 octahedra. The corner-sharing octahedra tilt angles range from 4–11°. There are a spread of Cu–O bond distances ranging from 1.93–2.47 Å. In the third Cu site, Cu is bonded to six O atoms to form distorted CuO6 octahedra that share corners with four equivalent ZnO6 octahedra. The corner-sharing octahedra tilt angles range from 3–18°. There are a spread of Cu–O bond distances ranging from 1.90–2.56 Å. In the fourth Cu site, Cu is bonded to six O atoms to form corner-sharing CuO6 octahedra. The corner-sharing octahedra tilt angles range from 4–11°. There are a spread of Cu–O bond distances ranging from 1.93–2.51 Å. In the fifth Cu site, Cu is bonded to six O atoms to form corner-sharing CuO6 octahedra. The corner-sharing octahedra tilt angles range from 7–11°. There are a spread of Cu–O bond distances ranging from 1.95–2.46 Å. In the sixth Cu site, Cu is bonded to six O atoms to form distorted corner-sharing CuO6 octahedra. The corner-sharing octahedra tilt angles range from 2–15°. There are a spread of Cu–O bond distances ranging from 1.94–2.53 Å. In the seventh Cu site, Cu is bonded to six O atoms to form corner-sharing CuO6 octahedra. The corner-sharing octahedra tilt angles range from 5–10°. There are a spread of Cu–O bond distances ranging from 1.95–2.44 Å. In the eighth Cu site, Cu is bonded to six O atoms to form corner-sharing CuO6 octahedra. The corner-sharing octahedra tilt angles range from 7–11°. There are a spread of Cu–O bond distances ranging from 1.92–2.44 Å. In the ninth Cu site, Cu is bonded to six O atoms to form distorted corner-sharing CuO6 octahedra. The corner-sharing octahedra tilt angles range from 2–15°. There are a spread of Cu–O bond distances ranging from 1.93–2.53 Å. In the tenth Cu site, Cu is bonded to six O atoms to form distorted corner-sharing CuO6 octahedra. The corner-sharing octahedra tilt angles range from 5–10°. There are a spread of Cu–O bond distances ranging from 1.91–2.48 Å. There are two inequivalent Zn sites. In the first Zn site, Zn is bonded to six O atoms to form ZnO6 octahedra that share corners with four equivalent CuO6 octahedra. The corner-sharing octahedra tilt angles range from 7–13°. There are a spread of Zn–O bond distances ranging from 1.98–2.44 Å. In the second Zn site, Zn is bonded to six O atoms to form distorted ZnO6 octahedra that share corners with four equivalent CuO6 octahedra. The corner-sharing octahedra tilt angles range from 3–18°. There are a spread of Zn–O bond distances ranging from 1.98–2.52 Å. There are forty-eight inequivalent O sites. In the first O site, O is bonded in a 6-coordinate geometry to one Sr, three La, and two Cu atoms. In the second O site, O is bonded in a 6-coordinate geometry to five La and one Zn atom. In the third O site, O is bonded in a 2-coordinate geometry to five La and one Cu atom. In the fourth O site, O is bonded in a 6-coordinate geometry to four La, one Cu, and one Zn atom. In the fifth O site, O is bonded to four La, one Cu, and one Zn atom to form distorted face-sharing OLa4ZnCu octahedra. In the sixth O site, O is bonded in a 6-coordinate geometry to one Sr, three La, and two Cu atoms. In the seventh O site, O is bonded in a 2-coordinate geometry to five La and one Zn atom. In the eighth O site, O is bonded in a 2-coordinate geometry to four La and one Cu atom. In the ninth O site, O is bonded in a 5-coordinate geometry to five La and one Cu atom. In the tenth O site, O is bonded in a 2-coordinate geometry to four La and one Cu atom. In the eleventh O site, O is bonded to four La, one Cu, and one Zn atom to form distorted face-sharing OLa4ZnCu octahedra. In the twelfth O site, O is bonded in a 6-coordinate geometry to four La, one Cu, and one Zn atom. In the thirteenth O site, O is bonded in a 6-coordinate geometry to four La, one Cu, and one Zn atom. In the fourteenth O site, O is bonded to four La, one Cu, and one Zn atom to form distorted face-sharing OLa4ZnCu octahedra. In the fifteenth O site, O is bonded in a 6-coordinate geometry to two equivalent Sr, three La, and one Cu atom. In the sixteenth O site, O is bonded in a 5-coordinate geometry to one Sr, four La, and one Cu atom. In the seventeenth O site, O is bonded in a 2-coordinate geometry to four La and one Cu atom. In the eighteenth O site, O is bonded in a 5-coordinate geometry to five La and one Zn atom. In the nineteenth O site, O is bonded to one Sr, three La, and two Cu atoms to form a mixture of distorted corner, edge, and face-sharing OSrLa3Cu2 octahedra. The corner-sharing octahedra tilt angles range from 2–4°. In the twentieth O site, O is bonded to one Sr, three La, and two Cu atoms to form a mixture of distorted corner, edge, and face-sharing OSrLa3Cu2 octahedra. The corner-sharing octahedra tilt angles range from 2–4°. In the twenty-first O site, O is bonded to four La, one Cu, and one Zn atom to form distorted face-sharing OLa4ZnCu octahedra. In the twenty-second O site, O is bonded in a 6-coordinate geometry to four La, one Cu, and one Zn atom. In the twenty-third O site, O is bonded in a 5-coordinate geometry to five La and one Cu atom. In the twenty-fourth O site, O is bonded in a 6-coordinate geometry to five La and one Cu atom. In the twenty-fifth O site, O is bonded in a 5-coordinate geometry to two equivalent Sr, two La, and one Cu atom. In the twenty-sixth O site, O is bonded in a 6-coordinate geometry to five La and one Zn atom. In the twenty-seventh O site, O is bonded to four La and two Cu atoms to form a mixture of distorted corner, edge, and face-sharing OLa4Cu2 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the twenty-eighth O site, O is bonded to four La and two Cu atoms to form a mixture of distorted corner, edge, and face-sharing OLa4Cu2 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the twenty-ninth O site, O is bonded to one Sr, three La, and two Cu atoms to form a mixture of distorted corner, edge, and face-sharing OSrLa3Cu2 octahedra. The corner-sharing octahedra tilt angles range from 2–4°. In the thirtieth O site, O is bonded to one Sr, three La, and two Cu atoms to form a mixture of distorted corner, edge, and face-sharing OSrLa3Cu2 octahedra. The corner-sharing octahedra tilt angles range from 2–4°. In the thirty-first O site, O is bonded in a 6-coordinate geometry to two equivalent Sr, three La, and one Cu atom. In the thirty-second O site, O is bonded in a 6-coordinate geometry to one Sr, four La, and one Cu atom. In the thirty-third O site, O is bonded in a 5-coordinate geometry to five La and one Cu atom. In the thirty-fourth O site, O is bonded in a 5-coordinate geometry to five La and one Cu atom. In the thirty-fifth O site, O is bonded to one Sr, three La, and two Cu atoms to form a mixture of distorted corner, edge, and face-sharing OSrLa3Cu2 octahedra. The corner-sharing octahedra tilt angles range from 0–5°. In the thirty-sixth O site, O is bonded to one Sr, three La, and two Cu atoms to form a mixture of distorted corner, edge, and face-sharing OSrLa3Cu2 octahedra. The corner-sharing octahedra tilt angles range from 0–5°. In the thirty-seventh O site, O is bonded to four La and two Cu atoms to form a mixture of distorted corner, edge, and face-sharing OLa4Cu2 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the thirty-eighth O site, O is bonded to four La and two Cu atoms to form a mixture of distorted corner, edge, and face-sharing OLa4Cu2 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the thirty-ninth O site, O is bonded in a 6-coordinate geometry to two equivalent Sr, three La, and one Cu atom. In the fortieth O site, O is bonded in a 6-coordinate geometry to one Sr, four La, and one Cu atom. In the forty-first O site, O is bonded in a 5-coordinate geometry to two equivalent Sr, three

36 MATERIALS SCIENCE↗

Materials Data on KBiO3 by Materials Project

KBiO3 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eighteen inequivalent K1+ sites. In the first K1+ site, K1+ is bonded in a 3-coordinate geometry to five O2- atoms. There are a spread of K–O bond distances ranging from 2.64–3.14 Å. In the second K1+ site, K1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of K–O bond distances ranging from 2.67–3.16 Å. In the third K1+ site, K1+ is bonded in a 1-coordinate geometry to seven O2- atoms. There are a spread of K–O bond distances ranging from 2.53–3.23 Å. In the fourth K1+ site, K1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of K–O bond distances ranging from 2.62–3.29 Å. In the fifth K1+ site, K1+ is bonded in a distorted hexagonal planar geometry to six O2- atoms. There are a spread of K–O bond distances ranging from 2.67–2.84 Å. In the sixth K1+ site, K1+ is bonded in a distorted hexagonal planar geometry to six O2- atoms. There are a spread of K–O bond distances ranging from 2.68–2.86 Å. In the seventh K1+ site, K1+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of K–O bond distances ranging from 2.56–3.28 Å. In the eighth K1+ site, K1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of K–O bond distances ranging from 2.68–3.05 Å. In the ninth K1+ site, K1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of K–O bond distances ranging from 2.70–3.14 Å. In the tenth K1+ site, K1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of K–O bond distances ranging from 2.65–3.11 Å. In the eleventh K1+ site, K1+ is bonded in a 6-coordinate geometry to five O2- atoms. There are a spread of K–O bond distances ranging from 2.59–3.06 Å. In the twelfth K1+ site, K1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of K–O bond distances ranging from 2.65–3.12 Å. In the thirteenth K1+ site, K1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of K–O bond distances ranging from 2.69–3.06 Å. In the fourteenth K1+ site, K1+ is bonded in a 3-coordinate geometry to three O2- atoms. There are a spread of K–O bond distances ranging from 2.57–2.83 Å. In the fifteenth K1+ site, K1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of K–O bond distances ranging from 2.58–3.13 Å. In the sixteenth K1+ site, K1+ is bonded in a distorted hexagonal planar geometry to six O2- atoms. There are a spread of K–O bond distances ranging from 2.69–2.86 Å. In the seventeenth K1+ site, K1+ is bonded in a distorted hexagonal planar geometry to six O2- atoms. There are a spread of K–O bond distances ranging from 2.70–2.87 Å. In the eighteenth K1+ site, K1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of K–O bond distances ranging from 2.63–3.18 Å. There are eighteen inequivalent Bi5+ sites. In the first Bi5+ site, Bi5+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing BiO6 octahedra. The corner-sharing octahedra tilt angles range from 53–56°. There are a spread of Bi–O bond distances ranging from 2.12–2.21 Å. In the second Bi5+ site, Bi5+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing BiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–56°. There are a spread of Bi–O bond distances ranging from 2.14–2.19 Å. In the third Bi5+ site, Bi5+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing BiO6 octahedra. The corner-sharing octahedra tilt angles range from 53–55°. There are a spread of Bi–O bond distances ranging from 2.12–2.21 Å. In the fourth Bi5+ site, Bi5+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing BiO6 octahedra. The corner-sharing octahedra tilt angles range from 53–56°. There are a spread of Bi–O bond distances ranging from 2.11–2.20 Å. In the fifth Bi5+ site, Bi5+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing BiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–55°. There are a spread of Bi–O bond distances ranging from 2.11–2.24 Å. In the sixth Bi5+ site, Bi5+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing BiO6 octahedra. The corner-sharing octahedra tilt angles range from 53–55°. There are a spread of Bi–O bond distances ranging from 2.13–2.19 Å. In the seventh Bi5+ site, Bi5+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing BiO6 octahedra. The corner-sharing octahedra tilt angles range from 53–55°. There are a spread of Bi–O bond distances ranging from 2.12–2.20 Å. In the eighth Bi5+ site, Bi5+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing BiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–56°. There are a spread of Bi–O bond distances ranging from 2.13–2.20 Å. In the ninth Bi5+ site, Bi5+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing BiO6 octahedra. The corner-sharing octahedra tilt angles range from 51–55°. There are a spread of Bi–O bond distances ranging from 2.10–2.20 Å. In the tenth Bi5+ site, Bi5+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing BiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–54°. There are a spread of Bi–O bond distances ranging from 2.14–2.20 Å. In the eleventh Bi5+ site, Bi5+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing BiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–57°. There are a spread of Bi–O bond distances ranging from 2.13–2.19 Å. In the twelfth Bi5+ site, Bi5+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing BiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–55°. There are a spread of Bi–O bond distances ranging from 2.13–2.18 Å. In the thirteenth Bi5+ site, Bi5+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing BiO6 octahedra. The corner-sharing octahedra tilt angles range from 51–56°. There are a spread of Bi–O bond distances ranging from 2.12–2.22 Å. In the fourteenth Bi5+ site, Bi5+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing BiO6 octahedra. The corner-sharing octahedra tilt angles range from 53–55°. There are a spread of Bi–O bond distances ranging from 2.14–2.17 Å. In the fifteenth Bi5+ site, Bi5+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing BiO6 octahedra. The corner-sharing octahedral tilt angles are 54°. There are a spread of Bi–O bond distances ranging from 2.13–2.18 Å. In the sixteenth Bi5+ site, Bi5+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing BiO6 octahedra. The corner-sharing octahedra tilt angles range from 53–57°. There are a spread of Bi–O bond distances ranging from 2.12–2.20 Å. In the seventeenth Bi5+ site, Bi5+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing BiO6 octahedra. The corner-sharing octahedra tilt angles range from 53–55°. There are a spread of Bi–O bond distances ranging from 2.13–2.20 Å. In the eighteenth Bi5+ site, Bi5+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing BiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–55°. There are a spread of Bi–O bond distances ranging from 2.13–2.19 Å. There are fifty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to two K1+ and two Bi5+ atoms. In the second O2- site, O2- is bonded in a 4-coordinate geometry to two K1+ and two Bi5+ atoms. In the third O2- site, O2- is bonded to two K1+ and two Bi5+ atoms to form a mixture of distorted edge and corner-sharing OK2Bi2 tetrahedra. In the fourth O2- site, O2- is bonded in a 2-coordinate geometry to two K1+ and two Bi5+ atoms. In the fifth O2- site, O2- is bonded to two K1+ and two Bi5+ atoms to form distorted corner-sharing OK2Bi2 tetrahedra. In the sixth O2- site, O2- is bonded to two K1+ and two Bi5+ atoms to form a mixture of distorted edge and corner-sharing OK2Bi2 tetrahedra. In the seventh O2- site, O2- is bonded in a trigonal non-coplanar geometry to one K1+ and two Bi5+ atoms. In the eighth O2- site, O2- is bonded in a 2-coordinate geometry to one K1+ and two Bi5+ atoms. In the ninth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one K1+ and two Bi5+ atoms. In the tenth O2- site, O2- is bonded in a 4-coordinate geometry to two K1+ and two Bi5+ atoms. In the eleventh O2- site, O2- is bonded in a distorted water-like geometry to two K1+ and two Bi5+ atoms. In the twelfth O2- site, O2- is bonded in a 3-coordinate geometry to three K1+ and two Bi5+ atoms. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to two K1+ and two Bi5+ atoms. In the fourteenth O2- site, O2- is bonded in a 4-coordinate geometry to two K1+ and two Bi5+ atoms. In the fifteenth O2- site, O2- is bonded to two K1+ and two Bi5+ atoms to form a mixture of distorted edge and corner-sharing OK2Bi2 tetrahedra. In the sixteenth O2- site, O2- is bonded in a 4-coordinate geometry to three K1+ and two Bi5+ atoms. In the seventeenth O2- site, O2- is bonded in a 4-coordinate geometry to two K1+ and two Bi5+ atoms. In the eighteenth O2- site, O2- is bonded in a 4-coordinate geometry to two K1+ and two Bi5+ atoms. In the nineteenth O2- site, O2- is bonded in a 4-coordinate geometry to two K1+ and two Bi5+ atoms. In the twentieth O2- site, O2- is bonded to two K1+ and two Bi5+ atoms to form a mixture of distorted edge and corner-sharing OK2Bi2 trigonal pyramids. In the twenty-first O2- site, O2- is bonded in a 4-coordinate geometry to two K1+ and two Bi5+ atoms. In the twenty-second O2- site, O2- is bonded to two K1+ and two Bi5+ atoms to form a mixture of distorted edge and corner-sharing OK2Bi2 tetrahedra. In the twenty-third O2- site, O2- is bonded in a 4-coordinate geometry to two K1+ and two Bi5+ atoms. In the twenty-fourth O2- site, O2- is bonded in a 5-coordinate geometry to three K1+ and two Bi5+ atoms. In the twenty-fifth O2- site, O2- is bonded in a 2-coordinate geometry to two K1+ and two Bi5+ atoms. In the twenty-sixth O2- site, O2- is bonded in a 2-coordinate geometry to two K1+ and two Bi5+ atoms. In the twenty-seventh O2- site, O2- is bonded in a 2-coordinate geometry to two K1+ and two Bi5+ atoms. In the twenty-eighth O2- site, O2- is bonded in a 2-coordinate geometry to two K1+ and two Bi5+ atoms. In the twenty-ninth O2- site, O2- is bonded to two K1+ and two Bi5+ atoms to form distorted corner-sharing OK2Bi2 tetrahedra. In the thirtieth O2- site, O2- is bonded in a 4-coordinate geometry to three K1+ and two Bi5+ atoms. In the thirty-first O2- site, O2- is bonded in a 2-coordinate geometry to two K1+ and two Bi5+ atoms. In the thirty-second O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one K1+ and two Bi5+ atoms. In the thirty-third O2- site, O2- is bonded to two K1+ and two Bi5+ atoms to form distorted corner-sharing OK2Bi2 tetrahedra. In the thirty-fourth O2- site, O2- is bonded in a 5-coordinate geometry to three K1+ and two Bi5+ atoms. In the thirty-fifth O2- site, O2- is bonded to two K1+ and two Bi5+ atoms to form a mixture of distorted edge and corner-sharing OK2Bi2 tetrahedra. In the thirty-sixth O2- site, O2- is bonded in a 4-coordinate geometry to two K1+ and two Bi5+ atoms. In the thirty-seventh O2- site, O2- is bonded in a 2-coordinate geometry to three K1+ and two Bi5+ atoms. In the thirty-eighth O2- site, O2- is bonded in a 4-coordinate geometry to two K1+ and two Bi5+ atoms. In the thirty-ninth O2- site, O2- is bonded in a 2-coordinate geometry to one K1+ and two Bi5+ atoms. In the fortieth O2- site, O2- is bonded in a distorted water-like geometry to two K1+ and two Bi5+ atoms. In the forty-first O2- site, O2- is bonded in a 4-coordinate geometry to two K1+ and two Bi5+ atoms. In the forty-second O2- site, O2-

36 MATERIALS SCIENCE↗

Materials Data on Sr22Nb10O47 by Materials Project

Sr22Nb10O47 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twenty-two inequivalent Sr2+ sites. In the first Sr2+ site, Sr2+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sr–O bond distances ranging from 2.51–2.72 Å. In the second Sr2+ site, Sr2+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sr–O bond distances ranging from 2.53–2.88 Å. In the third Sr2+ site, Sr2+ is bonded to six O2- atoms to form distorted SrO6 octahedra that share corners with three equivalent NbO6 octahedra, a cornercorner with one SrO6 pentagonal pyramid, corners with three equivalent NbO5 trigonal bipyramids, and an edgeedge with one SrO7 hexagonal pyramid. The corner-sharing octahedra tilt angles range from 21–27°. There are a spread of Sr–O bond distances ranging from 2.41–2.76 Å. In the fourth Sr2+ site, Sr2+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sr–O bond distances ranging from 2.57–2.82 Å. In the fifth Sr2+ site, Sr2+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sr–O bond distances ranging from 2.44–3.21 Å. In the sixth Sr2+ site, Sr2+ is bonded to six O2- atoms to form distorted SrO6 octahedra that share corners with three equivalent NbO6 octahedra and corners with three equivalent NbO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 20–30°. There are a spread of Sr–O bond distances ranging from 2.39–2.77 Å. In the seventh Sr2+ site, Sr2+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sr–O bond distances ranging from 2.41–3.02 Å. In the eighth Sr2+ site, Sr2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Sr–O bond distances ranging from 2.58–3.13 Å. In the ninth Sr2+ site, Sr2+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sr–O bond distances ranging from 2.43–2.84 Å. In the tenth Sr2+ site, Sr2+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sr–O bond distances ranging from 2.49–3.04 Å. In the eleventh Sr2+ site, Sr2+ is bonded to six O2- atoms to form SrO6 octahedra that share corners with three equivalent NbO6 octahedra. The corner-sharing octahedra tilt angles range from 29–32°. There are a spread of Sr–O bond distances ranging from 2.38–2.51 Å. In the twelfth Sr2+ site, Sr2+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Sr–O bond distances ranging from 2.49–2.83 Å. In the thirteenth Sr2+ site, Sr2+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sr–O bond distances ranging from 2.44–3.17 Å. In the fourteenth Sr2+ site, Sr2+ is bonded to six O2- atoms to form distorted SrO6 octahedra that share corners with three equivalent NbO6 octahedra and corners with three equivalent NbO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 21–31°. There are a spread of Sr–O bond distances ranging from 2.40–2.70 Å. In the fifteenth Sr2+ site, Sr2+ is bonded in a 7-coordinate geometry to nine O2- atoms. There are a spread of Sr–O bond distances ranging from 2.60–3.24 Å. In the sixteenth Sr2+ site, Sr2+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sr–O bond distances ranging from 2.43–3.02 Å. In the seventeenth Sr2+ site, Sr2+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sr–O bond distances ranging from 2.44–2.73 Å. In the eighteenth Sr2+ site, Sr2+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sr–O bond distances ranging from 2.49–3.08 Å. In the nineteenth Sr2+ site, Sr2+ is bonded to six O2- atoms to form SrO6 octahedra that share corners with three equivalent NbO6 octahedra. The corner-sharing octahedra tilt angles range from 28–33°. There are a spread of Sr–O bond distances ranging from 2.38–2.55 Å. In the twentieth Sr2+ site, Sr2+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Sr–O bond distances ranging from 2.50–2.80 Å. In the twenty-first Sr2+ site, Sr2+ is bonded to six O2- atoms to form distorted SrO6 pentagonal pyramids that share a cornercorner with one SrO7 hexagonal pyramid, a cornercorner with one SrO6 octahedra, corners with three equivalent NbO6 octahedra, corners with three equivalent NbO5 trigonal bipyramids, an edgeedge with one SrO7 hexagonal pyramid, and a faceface with one SrO7 hexagonal pyramid. The corner-sharing octahedra tilt angles range from 22–30°. There are a spread of Sr–O bond distances ranging from 2.42–2.74 Å. In the twenty-second Sr2+ site, Sr2+ is bonded to seven O2- atoms to form distorted SrO7 hexagonal pyramids that share a cornercorner with one SrO6 pentagonal pyramid, an edgeedge with one SrO6 octahedra, an edgeedge with one SrO6 pentagonal pyramid, edges with two equivalent NbO5 trigonal bipyramids, a faceface with one NbO6 octahedra, and a faceface with one SrO6 pentagonal pyramid. There are a spread of Sr–O bond distances ranging from 2.46–2.86 Å. There are ten inequivalent Nb5+ sites. In the first Nb5+ site, Nb5+ is bonded to five O2- atoms to form NbO5 trigonal bipyramids that share corners with three equivalent SrO6 octahedra, corners with three equivalent SrO6 pentagonal pyramids, and edges with two equivalent SrO7 hexagonal pyramids. The corner-sharing octahedra tilt angles range from 35–71°. There are a spread of Nb–O bond distances ranging from 1.88–2.02 Å. In the second Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with six SrO6 octahedra. The corner-sharing octahedra tilt angles range from 20–30°. There are a spread of Nb–O bond distances ranging from 1.98–2.11 Å. In the third Nb5+ site, Nb5+ is bonded to five O2- atoms to form NbO5 trigonal bipyramids that share corners with three equivalent SrO6 octahedra and a cornercorner with one NbO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 46–58°. There are a spread of Nb–O bond distances ranging from 1.89–2.11 Å. In the fourth Nb5+ site, Nb5+ is bonded to five O2- atoms to form distorted corner-sharing NbO5 trigonal bipyramids. There are a spread of Nb–O bond distances ranging from 1.83–2.58 Å. In the fifth Nb5+ site, Nb5+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Nb–O bond distances ranging from 1.89–2.35 Å. In the sixth Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with six SrO6 octahedra. The corner-sharing octahedra tilt angles range from 21–32°. There are a spread of Nb–O bond distances ranging from 1.99–2.09 Å. In the seventh Nb5+ site, Nb5+ is bonded to five O2- atoms to form NbO5 trigonal bipyramids that share corners with three equivalent SrO6 octahedra and a cornercorner with one NbO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 44–56°. There are a spread of Nb–O bond distances ranging from 1.89–2.10 Å. In the eighth Nb5+ site, Nb5+ is bonded to five O2- atoms to form distorted corner-sharing NbO5 trigonal bipyramids. There are a spread of Nb–O bond distances ranging from 1.83–2.48 Å. In the ninth Nb5+ site, Nb5+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Nb–O bond distances ranging from 1.89–2.29 Å. In the tenth Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with three equivalent SrO6 octahedra, corners with three equivalent SrO6 pentagonal pyramids, and a faceface with one SrO7 hexagonal pyramid. The corner-sharing octahedra tilt angles range from 28–33°. There are a spread of Nb–O bond distances ranging from 2.00–2.08 Å. There are forty-seven inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal bipyramidal geometry to four Sr2+ and one Nb5+ atom. In the second O2- site, O2- is bonded in a 4-coordinate geometry to three Sr2+ and one Nb5+ atom. In the third O2- site, O2- is bonded in a 5-coordinate geometry to four Sr2+ and one Nb5+ atom. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to three Sr2+ and one Nb5+ atom. In the fifth O2- site, O2- is bonded in a 1-coordinate geometry to three Sr2+ and one Nb5+ atom. In the sixth O2- site, O2- is bonded in a 5-coordinate geometry to four Sr2+ and one Nb5+ atom. In the seventh O2- site, O2- is bonded in a 5-coordinate geometry to four Sr2+ and one Nb5+ atom. In the eighth O2- site, O2- is bonded in a 5-coordinate geometry to four Sr2+ and one Nb5+ atom. In the ninth O2- site, O2- is bonded in a distorted trigonal pyramidal geometry to three Sr2+ and one Nb5+ atom. In the tenth O2- site, O2- is bonded in a 3-coordinate geometry to two Sr2+ and two Nb5+ atoms. In the eleventh O2- site, O2- is bonded in a 1-coordinate geometry to three Sr2+ and one Nb5+ atom. In the twelfth O2- site, O2- is bonded in a 5-coordinate geometry to four Sr2+ and one Nb5+ atom. In the thirteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Sr2+ and one Nb5+ atom. In the fourteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Sr2+ and one Nb5+ atom. In the fifteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Sr2+ and two Nb5+ atoms. In the sixteenth O2- site, O2- is bonded in a 5-coordinate geometry to four Sr2+ and one Nb5+ atom. In the seventeenth O2- site, O2- is bonded in a 1-coordinate geometry to two Sr2+ and one Nb5+ atom. In the eighteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Sr2+ and two Nb5+ atoms. In the nineteenth O2- site, O2- is bonded in a 1-coordinate geometry to four Sr2+ and one Nb5+ atom. In the twentieth O2- site, O2- is bonded in a 5-coordinate geometry to four Sr2+ and one Nb5+ atom. In the twenty-first O2- site, O2- is bonded in a 4-coordinate geometry to three Sr2+ and one Nb5+ atom. In the twenty-second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Sr2+ and one Nb5+ atom. In the twenty-third O2- site, O2- is bonded in a 5-coordinate geometry to four Sr2+ and one Nb5+ atom. In the twenty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to three Sr2+ and one Nb5+ atom. In the twenty-fifth O2- site, O2- is bonded in a 5-coordinate geometry to four Sr2+ and one Nb5+ atom. In the twenty-sixth O2- site, O2- is bonded in a 5-coordinate geometry to four Sr2+ and one Nb5+ atom. In the twenty-seventh O2- site, O2- is bonded in a 4-coordinate geometry to three Sr2+ and one Nb5+ atom. In the twenty-eighth O2- site, O2- is bonded in a 3-coordinate geometry to two Sr2+ and two Nb5+ atoms. In the twenty-ninth O2- site, O2- is bonded in a 4-coordinate geometry to three Sr2+ and one Nb5+ atom. In the thirtieth O2- site, O2- is bonded in a 5-coordinate geometry to four Sr2+ and one Nb5+ atom. In the thirty-first O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Sr2+ and one Nb5+ atom. In the thirty-second O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Sr2+ and one Nb5+ atom. In the thirty-third O2- site, O2- is bonded in a 4-coordinate geometry to two Sr2+ and two Nb5+ atoms. In the thirty-fourth O2- site, O2- is bonded in a 5-coordinate geometry to four Sr2+ and one Nb5+ atom. In the thirty-fifth O2- site, O2- is bonded in a 3-coordinate geometry to one Sr2+ and two Nb5+ atoms. In the thirty-sixth O2- site, O2- is bonded in a 1-coordinate geometry to two Sr2+ and one Nb5+ atom. In the thirty-seventh O2- site, O2- is bonded in a 1-coordinate geometry to four Sr2+ and one Nb5+ atom. In the thirty-eighth O2- site, O2- is bonded in a 1-coordinate geometry to four Sr2+ and one Nb5+ atom. In the thirty-ninth O2- site, O2- is bonded in a 5-coordinate geometry to four Sr2+ and one Nb5+ atom. In the fortieth O2- site, O2- is bonded in a 5-coordinate geometry to four Sr2+ and one Nb5+ atom. In the forty-first O2- site, O2- is bonded in

36 MATERIALS SCIENCE↗

Materials Data on Na8Ga42O67 by Materials Project

Na8Ga42O67 is beta indium sulfide-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Na sites. In the first Na site, Na is bonded to four O atoms to form NaO4 tetrahedra that share corners with twelve GaO6 octahedra. The corner-sharing octahedra tilt angles range from 52–68°. There are a spread of Na–O bond distances ranging from 2.12–2.24 Å. In the second Na site, Na is bonded in a 2-coordinate geometry to four O atoms. There are a spread of Na–O bond distances ranging from 2.43–2.89 Å. In the third Na site, Na is bonded in a 5-coordinate geometry to five O atoms. There are a spread of Na–O bond distances ranging from 2.32–2.87 Å. In the fourth Na site, Na is bonded to four O atoms to form NaO4 tetrahedra that share corners with twelve GaO6 octahedra. The corner-sharing octahedra tilt angles range from 55–69°. There are a spread of Na–O bond distances ranging from 2.18–2.23 Å. In the fifth Na site, Na is bonded in a 4-coordinate geometry to four O atoms. There are a spread of Na–O bond distances ranging from 2.05–2.51 Å. In the sixth Na site, Na is bonded in a 4-coordinate geometry to four O atoms. There are a spread of Na–O bond distances ranging from 2.23–2.89 Å. In the seventh Na site, Na is bonded in a 6-coordinate geometry to five O atoms. There are a spread of Na–O bond distances ranging from 2.51–2.97 Å. In the eighth Na site, Na is bonded in a 3-coordinate geometry to three O atoms. There are a spread of Na–O bond distances ranging from 2.15–2.19 Å. There are forty-two inequivalent Ga sites. In the first Ga site, Ga is bonded to six O atoms to form GaO6 octahedra that share corners with two NaO4 tetrahedra, corners with four GaO4 tetrahedra, and edges with six GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.86–2.34 Å. In the second Ga site, Ga is bonded to six O atoms to form GaO6 octahedra that share a cornercorner with one GaO4 tetrahedra, corners with two equivalent NaO4 tetrahedra, and edges with five GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.95–2.12 Å. In the third Ga site, Ga is bonded to six O atoms to form GaO6 octahedra that share a cornercorner with one NaO4 tetrahedra, corners with three GaO4 tetrahedra, and edges with five GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.92–2.21 Å. In the fourth Ga site, Ga is bonded to six O atoms to form GaO6 octahedra that share a cornercorner with one NaO4 tetrahedra, corners with three GaO4 tetrahedra, and edges with five GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.91–2.21 Å. In the fifth Ga site, Ga is bonded to four O atoms to form corner-sharing GaO4 tetrahedra. The corner-sharing octahedra tilt angles range from 43–66°. There are a spread of Ga–O bond distances ranging from 1.87–1.98 Å. In the sixth Ga site, Ga is bonded in a trigonal planar geometry to three O atoms. There are a spread of Ga–O bond distances ranging from 1.79–1.84 Å. In the seventh Ga site, Ga is bonded in a trigonal planar geometry to three O atoms. There are a spread of Ga–O bond distances ranging from 1.79–1.85 Å. In the eighth Ga site, Ga is bonded to six O atoms to form GaO6 octahedra that share corners with five GaO4 tetrahedra and edges with five GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.95–2.05 Å. In the ninth Ga site, Ga is bonded to six O atoms to form GaO6 octahedra that share a cornercorner with one NaO4 tetrahedra, corners with three GaO4 tetrahedra, and edges with five GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.94–2.12 Å. In the tenth Ga site, Ga is bonded to six O atoms to form GaO6 octahedra that share a cornercorner with one NaO4 tetrahedra, corners with three GaO4 tetrahedra, and edges with five GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.92–2.14 Å. In the eleventh Ga site, Ga is bonded to six O atoms to form GaO6 octahedra that share corners with two equivalent NaO4 tetrahedra, corners with four GaO4 tetrahedra, and edges with six GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.94–2.12 Å. In the twelfth Ga site, Ga is bonded to four O atoms to form corner-sharing GaO4 tetrahedra. The corner-sharing octahedra tilt angles range from 54–60°. There is three shorter (1.91 Å) and one longer (1.93 Å) Ga–O bond length. In the thirteenth Ga site, Ga is bonded to six O atoms to form GaO6 octahedra that share a cornercorner with one NaO4 tetrahedra, corners with three GaO4 tetrahedra, and edges with five GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.89–2.12 Å. In the fourteenth Ga site, Ga is bonded to six O atoms to form GaO6 octahedra that share a cornercorner with one NaO4 tetrahedra, corners with three GaO4 tetrahedra, and edges with five GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.88–2.22 Å. In the fifteenth Ga site, Ga is bonded to six O atoms to form GaO6 octahedra that share a cornercorner with one NaO4 tetrahedra, corners with two equivalent GaO4 tetrahedra, and edges with five GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.91–2.13 Å. In the sixteenth Ga site, Ga is bonded to four O atoms to form distorted GaO4 tetrahedra that share corners with six GaO6 octahedra and a cornercorner with one GaO4 tetrahedra. The corner-sharing octahedra tilt angles range from 50–63°. There are a spread of Ga–O bond distances ranging from 1.82–1.90 Å. In the seventeenth Ga site, Ga is bonded to four O atoms to form GaO4 tetrahedra that share corners with six GaO6 octahedra and a cornercorner with one GaO4 tetrahedra. The corner-sharing octahedra tilt angles range from 54–59°. There are a spread of Ga–O bond distances ranging from 1.82–1.88 Å. In the eighteenth Ga site, Ga is bonded to six O atoms to form GaO6 octahedra that share corners with five GaO4 tetrahedra and edges with five GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.90–2.14 Å. In the nineteenth Ga site, Ga is bonded to six O atoms to form GaO6 octahedra that share corners with five GaO4 tetrahedra and edges with five GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.91–2.24 Å. In the twentieth Ga site, Ga is bonded to six O atoms to form GaO6 octahedra that share corners with five GaO4 tetrahedra and edges with five GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.90–2.23 Å. In the twenty-first Ga site, Ga is bonded to six O atoms to form GaO6 octahedra that share corners with six GaO4 tetrahedra and edges with six GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.96–2.11 Å. In the twenty-second Ga site, Ga is bonded to four O atoms to form corner-sharing GaO4 tetrahedra. The corner-sharing octahedra tilt angles range from 51–60°. There are a spread of Ga–O bond distances ranging from 1.89–1.92 Å. In the twenty-third Ga site, Ga is bonded to four O atoms to form corner-sharing GaO4 tetrahedra. The corner-sharing octahedra tilt angles range from 52–62°. There are a spread of Ga–O bond distances ranging from 1.81–1.95 Å. In the twenty-fourth Ga site, Ga is bonded to six O atoms to form GaO6 octahedra that share corners with five GaO4 tetrahedra and edges with five GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.91–2.17 Å. In the twenty-fifth Ga site, Ga is bonded to six O atoms to form GaO6 octahedra that share corners with five GaO4 tetrahedra and edges with five GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.92–2.13 Å. In the twenty-sixth Ga site, Ga is bonded to six O atoms to form GaO6 octahedra that share corners with five GaO4 tetrahedra and edges with five GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.96–2.09 Å. In the twenty-seventh Ga site, Ga is bonded to four O atoms to form GaO4 tetrahedra that share corners with six GaO6 octahedra and a cornercorner with one GaO4 tetrahedra. The corner-sharing octahedra tilt angles range from 51–61°. There are a spread of Ga–O bond distances ranging from 1.83–1.94 Å. In the twenty-eighth Ga site, Ga is bonded to four O atoms to form GaO4 tetrahedra that share corners with six GaO6 octahedra and a cornercorner with one GaO4 tetrahedra. The corner-sharing octahedra tilt angles range from 54–59°. There are a spread of Ga–O bond distances ranging from 1.81–1.91 Å. In the twenty-ninth Ga site, Ga is bonded to six O atoms to form distorted GaO6 octahedra that share a cornercorner with one NaO4 tetrahedra, corners with four GaO4 tetrahedra, and edges with five GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.89–2.42 Å. In the thirtieth Ga site, Ga is bonded to six O atoms to form GaO6 octahedra that share a cornercorner with one NaO4 tetrahedra, corners with four GaO4 tetrahedra, and edges with five GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.92–2.26 Å. In the thirty-first Ga site, Ga is bonded to six O atoms to form GaO6 octahedra that share a cornercorner with one NaO4 tetrahedra, corners with four GaO4 tetrahedra, and edges with five GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.93–2.31 Å. In the thirty-second Ga site, Ga is bonded to four O atoms to form corner-sharing GaO4 tetrahedra. The corner-sharing octahedra tilt angles range from 48–61°. There are a spread of Ga–O bond distances ranging from 1.89–2.01 Å. In the thirty-third Ga site, Ga is bonded to six O atoms to form GaO6 octahedra that share a cornercorner with one NaO4 tetrahedra, corners with four GaO4 tetrahedra, and edges with five GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.92–2.23 Å. In the thirty-fourth Ga site, Ga is bonded to six O atoms to form GaO6 octahedra that share corners with five GaO4 tetrahedra and edges with five GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.90–2.21 Å. In the thirty-fifth Ga site, Ga is bonded to six O atoms to form GaO6 octahedra that share a cornercorner with one NaO4 tetrahedra, corners with four GaO4 tetrahedra, and edges with five GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.91–2.24 Å. In the thirty-sixth Ga site, Ga is bonded to four O atoms to form GaO4 tetrahedra that share corners with six GaO6 octahedra and a cornercorner with one GaO4 tetrahedra. The corner-sharing octahedra tilt angles range from 55–60°. There are a spread of Ga–O bond distances ranging from 1.81–1.90 Å. In the thirty-seventh Ga site, Ga is bonded to four O atoms to form GaO4 tetrahedra that share corners with six GaO6 octahedra and a cornercorner with one GaO4 tetrahedra. The corner-sharing octahedra tilt angles range from 50–60°. There are a spread of Ga–O bond distances ranging from 1.78–1.96 Å. In the thirty-eighth Ga site, Ga is bonded to four O atoms to form corner-sharing GaO4 tetrahedra. The corner-sharing octahedra tilt angles range from 51–62°. There is two shorter (1.90 Å) and two longer (1.91 Å) Ga–O bond length. In the thirty-ninth Ga site, Ga is bonded to six O atoms to form GaO6 octahedra that share corners with two equivalent NaO4 tetrahedra, corners with four GaO4 tetrahedra, and edges with six GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.91–2.11 Å. In the fortieth Ga site, Ga is bonded to six O atoms to form distorted GaO6 octahedra that share a cornercorner with one NaO4 tetrahedra, corners with three GaO4 tetrahedra, and edges with five GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.89–2.33 Å. In the forty-first Ga site, Ga is bonded to six O atoms to form distorted GaO6 octahedra that share a cornercorner with one NaO4 tetrahedra, corners with three GaO4 tetrahedra, and edges with five GaO6 octahedra. There are a spread of Ga–O bond distances ranging from

36 MATERIALS SCIENCE↗

Materials Data on Hf3Sc4O12 by Materials Project

Hf3Sc4O12 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twenty inequivalent Sc3+ sites. In the first Sc3+ site, Sc3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sc–O bond distances ranging from 2.10–2.55 Å. In the second Sc3+ site, Sc3+ is bonded in an octahedral geometry to six O2- atoms. There are a spread of Sc–O bond distances ranging from 2.08–2.14 Å. In the third Sc3+ site, Sc3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sc–O bond distances ranging from 2.07–2.57 Å. In the fourth Sc3+ site, Sc3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sc–O bond distances ranging from 2.09–2.55 Å. In the fifth Sc3+ site, Sc3+ is bonded in an octahedral geometry to six O2- atoms. There are a spread of Sc–O bond distances ranging from 2.08–2.14 Å. In the sixth Sc3+ site, Sc3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sc–O bond distances ranging from 2.08–2.60 Å. In the seventh Sc3+ site, Sc3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sc–O bond distances ranging from 2.06–2.59 Å. In the eighth Sc3+ site, Sc3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Sc–O bond distances ranging from 2.09–2.21 Å. In the ninth Sc3+ site, Sc3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sc–O bond distances ranging from 2.07–2.59 Å. In the tenth Sc3+ site, Sc3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sc–O bond distances ranging from 2.05–2.59 Å. In the eleventh Sc3+ site, Sc3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Sc–O bond distances ranging from 2.09–2.22 Å. In the twelfth Sc3+ site, Sc3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sc–O bond distances ranging from 2.07–2.55 Å. In the thirteenth Sc3+ site, Sc3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sc–O bond distances ranging from 2.07–2.65 Å. In the fourteenth Sc3+ site, Sc3+ is bonded to six O2- atoms to form ScO6 octahedra that share a cornercorner with one HfO7 pentagonal bipyramid and an edgeedge with one HfO7 pentagonal bipyramid. There are a spread of Sc–O bond distances ranging from 2.09–2.12 Å. In the fifteenth Sc3+ site, Sc3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sc–O bond distances ranging from 2.07–2.59 Å. In the sixteenth Sc3+ site, Sc3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sc–O bond distances ranging from 2.08–2.63 Å. In the seventeenth Sc3+ site, Sc3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sc–O bond distances ranging from 2.11–2.64 Å. In the eighteenth Sc3+ site, Sc3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sc–O bond distances ranging from 2.09–2.58 Å. In the nineteenth Sc3+ site, Sc3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sc–O bond distances ranging from 2.10–2.67 Å. In the twentieth Sc3+ site, Sc3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sc–O bond distances ranging from 2.09–2.55 Å. There are fifteen inequivalent Hf4+ sites. In the first Hf4+ site, Hf4+ is bonded in an octahedral geometry to six O2- atoms. There are a spread of Hf–O bond distances ranging from 2.03–2.12 Å. In the second Hf4+ site, Hf4+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Hf–O bond distances ranging from 2.06–2.40 Å. In the third Hf4+ site, Hf4+ is bonded in an octahedral geometry to six O2- atoms. There are a spread of Hf–O bond distances ranging from 2.03–2.13 Å. In the fourth Hf4+ site, Hf4+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Hf–O bond distances ranging from 2.04–2.41 Å. In the fifth Hf4+ site, Hf4+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Hf–O bond distances ranging from 2.05–2.47 Å. In the sixth Hf4+ site, Hf4+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Hf–O bond distances ranging from 2.06–2.39 Å. In the seventh Hf4+ site, Hf4+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Hf–O bond distances ranging from 2.06–2.51 Å. In the eighth Hf4+ site, Hf4+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Hf–O bond distances ranging from 2.04–2.42 Å. In the ninth Hf4+ site, Hf4+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Hf–O bond distances ranging from 2.07–2.46 Å. In the tenth Hf4+ site, Hf4+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Hf–O bond distances ranging from 2.04–2.53 Å. In the eleventh Hf4+ site, Hf4+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Hf–O bond distances ranging from 2.06–2.48 Å. In the twelfth Hf4+ site, Hf4+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Hf–O bond distances ranging from 2.05–2.54 Å. In the thirteenth Hf4+ site, Hf4+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Hf–O bond distances ranging from 2.06–2.47 Å. In the fourteenth Hf4+ site, Hf4+ is bonded to seven O2- atoms to form distorted HfO7 pentagonal bipyramids that share a cornercorner with one ScO6 octahedra and an edgeedge with one ScO6 octahedra. The corner-sharing octahedral tilt angles are 49°. There are a spread of Hf–O bond distances ranging from 2.06–2.33 Å. In the fifteenth Hf4+ site, Hf4+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Hf–O bond distances ranging from 2.06–2.50 Å. There are sixty inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to two Sc3+ and two Hf4+ atoms. In the second O2- site, O2- is bonded to three Sc3+ and one Hf4+ atom to form distorted OHfSc3 tetrahedra that share corners with eight OHfSc3 tetrahedra and edges with three OHf3Sc tetrahedra. In the third O2- site, O2- is bonded in a 4-coordinate geometry to three Sc3+ and one Hf4+ atom. In the fourth O2- site, O2- is bonded to three Sc3+ and one Hf4+ atom to form distorted OHfSc3 tetrahedra that share corners with nine OHfSc3 tetrahedra and edges with three OHf3Sc tetrahedra. In the fifth O2- site, O2- is bonded to three Sc3+ and one Hf4+ atom to form distorted OHfSc3 tetrahedra that share corners with eight OHfSc3 tetrahedra and edges with three OHf2Sc2 tetrahedra. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to three Sc3+ and one Hf4+ atom. In the seventh O2- site, O2- is bonded in a 3-coordinate geometry to three Sc3+ and one Hf4+ atom. In the eighth O2- site, O2- is bonded to three Sc3+ and one Hf4+ atom to form distorted OHfSc3 tetrahedra that share corners with nine OHfSc3 tetrahedra and edges with three OHf3Sc tetrahedra. In the ninth O2- site, O2- is bonded to three Sc3+ and one Hf4+ atom to form distorted OHfSc3 tetrahedra that share corners with nine OHf3Sc tetrahedra and edges with four OHfSc3 tetrahedra. In the tenth O2- site, O2- is bonded in a 3-coordinate geometry to three Sc3+ and one Hf4+ atom. In the eleventh O2- site, O2- is bonded in a 3-coordinate geometry to one Sc3+ and two Hf4+ atoms. In the twelfth O2- site, O2- is bonded to two Sc3+ and two Hf4+ atoms to form a mixture of distorted corner and edge-sharing OHf2Sc2 tetrahedra. In the thirteenth O2- site, O2- is bonded in a 3-coordinate geometry to three Sc3+ and one Hf4+ atom. In the fourteenth O2- site, O2- is bonded to three Sc3+ and one Hf4+ atom to form a mixture of distorted corner and edge-sharing OHfSc3 tetrahedra. In the fifteenth O2- site, O2- is bonded to three Sc3+ and one Hf4+ atom to form distorted OHfSc3 tetrahedra that share corners with nine OHf2Sc2 tetrahedra and edges with four OHfSc3 tetrahedra. In the sixteenth O2- site, O2- is bonded in a 3-coordinate geometry to three Sc3+ and one Hf4+ atom. In the seventeenth O2- site, O2- is bonded to two Sc3+ and two Hf4+ atoms to form distorted OHf2Sc2 tetrahedra that share corners with nine OHf3Sc tetrahedra and edges with three OHfSc3 tetrahedra. In the eighteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Sc3+ and two Hf4+ atoms. In the nineteenth O2- site, O2- is bonded to two Sc3+ and two Hf4+ atoms to form a mixture of distorted corner and edge-sharing OHf2Sc2 tetrahedra. In the twentieth O2- site, O2- is bonded in a 3-coordinate geometry to three Sc3+ and one Hf4+ atom. In the twenty-first O2- site, O2- is bonded to one Sc3+ and three Hf4+ atoms to form a mixture of distorted corner and edge-sharing OHf3Sc tetrahedra. In the twenty-second O2- site, O2- is bonded to three Sc3+ and one Hf4+ atom to form a mixture of distorted corner and edge-sharing OHfSc3 tetrahedra. In the twenty-third O2- site, O2- is bonded to four Sc3+ atoms to form a mixture of corner and edge-sharing OSc4 tetrahedra. In the twenty-fourth O2- site, O2- is bonded to two Sc3+ and two Hf4+ atoms to form distorted OHf2Sc2 tetrahedra that share corners with eight OHf3Sc tetrahedra and edges with three OHfSc3 tetrahedra. In the twenty-fifth O2- site, O2- is bonded in a 3-coordinate geometry to three Sc3+ and one Hf4+ atom. In the twenty-sixth O2- site, O2- is bonded to two Sc3+ and two Hf4+ atoms to form distorted OHf2Sc2 tetrahedra that share corners with nine OHf3Sc tetrahedra and edges with three OHfSc3 tetrahedra. In the twenty-seventh O2- site, O2- is bonded to three Sc3+ and one Hf4+ atom to form distorted OHfSc3 tetrahedra that share corners with six OSc4 tetrahedra and edges with three OHf2Sc2 tetrahedra. In the twenty-eighth O2- site, O2- is bonded in a 3-coordinate geometry to two Sc3+ and two Hf4+ atoms. In the twenty-ninth O2- site, O2- is bonded to one Sc3+ and three Hf4+ atoms to form a mixture of distorted corner and edge-sharing OHf3Sc tetrahedra. In the thirtieth O2- site, O2- is bonded to two Sc3+ and two Hf4+ atoms to form a mixture of distorted corner and edge-sharing OHf2Sc2 tetrahedra. In the thirty-first O2- site, O2- is bonded to one Sc3+ and three Hf4+ atoms to form a mixture of distorted corner and edge-sharing OHf3Sc tetrahedra. In the thirty-second O2- site, O2- is bonded to four Sc3+ atoms to form OSc4 tetrahedra that share corners with six OHf2Sc2 tetrahedra and edges with three OHfSc3 tetrahedra. In the thirty-third O2- site, O2- is bonded to two Sc3+ and two Hf4+ atoms to form distorted OHf2Sc2 tetrahedra that share corners with eight OHf2Sc2 tetrahedra and edges with three OHfSc3 tetrahedra. In the thirty-fourth O2- site, O2- is bonded to two Sc3+ and two Hf4+ atoms to form a mixture of distorted corner and edge-sharing OHf2Sc2 tetrahedra. In the thirty-fifth O2- site, O2- is bonded to three Sc3+ and one Hf4+ atom to form distorted OHfSc3 tetrahedra that share corners with six OHf2Sc2 tetrahedra and edges with three OSc4 tetrahedra. In the thirty-sixth O2- site, O2- is bonded in a 3-coordinate geometry to two Sc3+ and two Hf4+ atoms. In the thirty-seventh O2- site, O2- is bonded in a 3-coordinate geometry to two Sc3+ and two Hf4+ atoms. In the thirty-eighth O2- site, O2- is bonded to two Sc3+ and two Hf4+ atoms to form a mixture of distorted corner and edge-sharing OHf2Sc2 tetrahedra. In the thirty-ninth O2- site, O2- is bonded to one Sc3+ and three Hf4+ atoms to form distorted OHf3Sc tetrahedra that share corners with eight OHf2Sc2 tetrahedra and edges with four OHfSc3 tetrahedra. In the fortieth O2- site, O2- is bonded to three Sc3+ and one Hf4+ atom to form a mixture of corner and edge-sharing OHfSc3 tetrahedra. In the forty-first O2- site, O2- is bonded in a 4-coordinate geometry to two Sc3+ and two Hf4+ atoms. In the forty-second O2- site, O2- is bonded to two Sc3

36 MATERIALS SCIENCE↗

Materials Data on AlPO4 by Materials Project

AlPO4 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eighteen inequivalent Al3+ sites. In the first Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with four PO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.73–1.78 Å. In the second Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with four PO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.75–1.81 Å. In the third Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share a cornercorner with one AlO4 tetrahedra and corners with two PO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.68–1.86 Å. In the fourth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with two AlO4 tetrahedra and corners with two PO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.69–1.91 Å. In the fifth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with two AlO4 tetrahedra and corners with two PO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.68–1.89 Å. In the sixth Al3+ site, Al3+ is bonded to four O2- atoms to form corner-sharing AlO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.75–1.78 Å. In the seventh Al3+ site, Al3+ is bonded to four O2- atoms to form distorted corner-sharing AlO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.68–1.94 Å. In the eighth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with three AlO4 tetrahedra and an edgeedge with one PO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.68–1.93 Å. In the ninth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share a cornercorner with one PO4 tetrahedra and corners with three AlO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.72–1.82 Å. In the tenth Al3+ site, Al3+ is bonded to four O2- atoms to form corner-sharing AlO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.73–1.77 Å. In the eleventh Al3+ site, Al3+ is bonded to four O2- atoms to form corner-sharing AlO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.73–1.76 Å. In the twelfth Al3+ site, Al3+ is bonded to four O2- atoms to form corner-sharing AlO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.73–1.76 Å. In the thirteenth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share a cornercorner with one PO4 tetrahedra and corners with three AlO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.67–1.89 Å. In the fourteenth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with two PO4 tetrahedra and corners with three AlO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.67–1.87 Å. In the fifteenth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share a cornercorner with one PO4 tetrahedra and corners with three AlO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.72–1.89 Å. In the sixteenth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share a cornercorner with one PO4 tetrahedra and corners with three AlO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.70–1.94 Å. In the seventeenth Al3+ site, Al3+ is bonded to four O2- atoms to form corner-sharing AlO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.72–1.87 Å. In the eighteenth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share a cornercorner with one PO4 tetrahedra and corners with three AlO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.73–1.83 Å. There are eighteen inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form corner-sharing PO4 tetrahedra. There is one shorter (1.45 Å) and three longer (1.60 Å) P–O bond length. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one AlO4 tetrahedra and corners with two PO4 tetrahedra. There are a spread of P–O bond distances ranging from 1.45–1.65 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one PO4 tetrahedra and corners with two AlO4 tetrahedra. There are a spread of P–O bond distances ranging from 1.53–1.60 Å. In the fourth P5+ site, P5+ is bonded in a 2-coordinate geometry to three O2- atoms. There are a spread of P–O bond distances ranging from 1.55–2.36 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one AlO4 tetrahedra, a cornercorner with one PO4 tetrahedra, and an edgeedge with one AlO4 tetrahedra. There are a spread of P–O bond distances ranging from 1.48–1.68 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one AlO4 tetrahedra and corners with two PO4 tetrahedra. There are a spread of P–O bond distances ranging from 1.47–1.63 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one AlO4 tetrahedra and corners with two PO4 tetrahedra. There are a spread of P–O bond distances ranging from 1.50–1.57 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one PO4 tetrahedra and corners with two AlO4 tetrahedra. There are a spread of P–O bond distances ranging from 1.50–1.62 Å. In the ninth P5+ site, P5+ is bonded in a distorted trigonal non-coplanar geometry to three O2- atoms. There are a spread of P–O bond distances ranging from 1.55–1.79 Å. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one AlO4 tetrahedra and corners with two PO4 tetrahedra. There are a spread of P–O bond distances ranging from 1.47–1.64 Å. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one AlO4 tetrahedra and corners with three PO4 tetrahedra. There are a spread of P–O bond distances ranging from 1.52–1.57 Å. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two AlO4 tetrahedra and corners with two PO4 tetrahedra. There are a spread of P–O bond distances ranging from 1.49–1.62 Å. In the thirteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two AlO4 tetrahedra and corners with two PO4 tetrahedra. There are a spread of P–O bond distances ranging from 1.49–1.64 Å. In the fourteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one PO4 tetrahedra and corners with three AlO4 tetrahedra. There are a spread of P–O bond distances ranging from 1.49–1.73 Å. In the fifteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one AlO4 tetrahedra and corners with two PO4 tetrahedra. There are a spread of P–O bond distances ranging from 1.49–1.60 Å. In the sixteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one AlO4 tetrahedra and corners with three PO4 tetrahedra. There are a spread of P–O bond distances ranging from 1.48–1.61 Å. In the seventeenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one PO4 tetrahedra and corners with two AlO4 tetrahedra. There are a spread of P–O bond distances ranging from 1.47–1.76 Å. In the eighteenth P5+ site, P5+ is bonded in a 3-coordinate geometry to three O2- atoms. There are a spread of P–O bond distances ranging from 1.52–1.88 Å. There are seventy-two inequivalent O2- sites. In the first O2- site, O2- is bonded in a bent 120 degrees geometry to two P5+ atoms. In the second O2- site, O2- is bonded in a bent 150 degrees geometry to two P5+ atoms. In the third O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two P5+ atoms. In the fourth O2- site, O2- is bonded in a bent 150 degrees geometry to two P5+ atoms. In the fifth O2- site, O2- is bonded in a single-bond geometry to one P5+ atom. In the sixth O2- site, O2- is bonded in a bent 120 degrees geometry to two P5+ atoms. In the seventh O2- site, O2- is bonded in a bent 120 degrees geometry to one Al3+ and one P5+ atom. In the eighth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two P5+ atoms. In the ninth O2- site, O2- is bonded in a single-bond geometry to one P5+ atom. In the tenth O2- site, O2- is bonded in a single-bond geometry to one P5+ atom. In the eleventh O2- site, O2- is bonded in a water-like geometry to one Al3+ and one P5+ atom. In the twelfth O2- site, O2- is bonded in a distorted L-shaped geometry to one Al3+ and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a linear geometry to two P5+ atoms. In the fourteenth O2- site, O2- is bonded in a linear geometry to one Al3+ and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Al3+ and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a distorted single-bond geometry to two P5+ atoms. In the seventeenth O2- site, O2- is bonded in a single-bond geometry to one P5+ atom. In the eighteenth O2- site, O2- is bonded in a bent 120 degrees geometry to two P5+ atoms. In the nineteenth O2- site, O2- is bonded in a linear geometry to one Al3+ and one P5+ atom. In the twentieth O2- site, O2- is bonded in a linear geometry to one Al3+ and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a bent 150 degrees geometry to two P5+ atoms. In the twenty-second O2- site, O2- is bonded in a bent 150 degrees geometry to one Al3+ and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a bent 150 degrees geometry to one Al3+ and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a linear geometry to two P5+ atoms. In the twenty-fifth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Al3+ and one P5+ atom. In the twenty-sixth O2- site, O2- is bonded in a bent 120 degrees geometry to one Al3+ and one P5+ atom. In the twenty-seventh O2- site, O2- is bonded in a bent 120 degrees geometry to two P5+ atoms. In the twenty-eighth O2- site, O2- is bonded in a bent 120 degrees geometry to two P5+ atoms. In the twenty-ninth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two P5+ atoms. In the thirtieth O2- site, O2- is bonded in a bent 150 degrees geometry to one Al3+ and one P5+ atom. In the thirty-first O2- site, O2- is bonded in a single-bond geometry to one P5+ atom. In the thirty-second O2- site, O2- is bonded in a linear geometry to two P5+ atoms. In the thirty-third O2- site, O2- is bonded in a bent 120 degrees geometry to two P5+ atoms. In the thirty-fourth O2- site, O2- is bonded in a bent 150 degrees geometry to one Al3+ and one P5+ atom. In the thirty-fifth O2- site, O2- is bonded in a bent 150 degrees geometry to two P5+ atoms. In the thirty-sixth O2- site, O2- is bonded in a bent 150 degrees geometry to one Al3+ and one P5+ atom. In the thirty-seventh O2- site, O2- is bonded in a bent 120 degrees geometry to one Al3+ and one P5+ atom. In the thirty-eighth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two P5+ atoms. In the thirty-ninth O2- site, O2- is bonded in a bent 150 degrees geometry to one Al3+ and one P5+ atom. In the fortieth O2- site, O2- is bonded in a bent 150 degrees geometry to one Al3+ and one P5+ atom. In the forty-first O2- site, O2- is bonded in a bent 120 degrees geometry to one Al3+ and one P5+ atom. In the forty-second O2- site, O2- is bonded in a bent 120 degrees geometry to two Al3+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on NaNiP2HO7 by Materials Project

NaNiP2HO7 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are six inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded in a 3-coordinate geometry to four O2- atoms. There are a spread of Na–O bond distances ranging from 2.30–2.78 Å. In the second Na1+ site, Na1+ is bonded in a 3-coordinate geometry to four O2- atoms. There are a spread of Na–O bond distances ranging from 2.30–2.78 Å. In the third Na1+ site, Na1+ is bonded in a 7-coordinate geometry to one H1+ and six O2- atoms. The Na–H bond length is 2.52 Å. There are a spread of Na–O bond distances ranging from 2.34–2.58 Å. In the fourth Na1+ site, Na1+ is bonded in a 7-coordinate geometry to one H1+ and six O2- atoms. The Na–H bond length is 2.53 Å. There are a spread of Na–O bond distances ranging from 2.35–2.59 Å. In the fifth Na1+ site, Na1+ is bonded in a 7-coordinate geometry to one H1+ and six O2- atoms. The Na–H bond length is 2.53 Å. There are a spread of Na–O bond distances ranging from 2.35–2.58 Å. In the sixth Na1+ site, Na1+ is bonded in a 7-coordinate geometry to one H1+ and six O2- atoms. The Na–H bond length is 2.52 Å. There are a spread of Na–O bond distances ranging from 2.35–2.57 Å. There are six inequivalent Ni2+ sites. In the first Ni2+ site, Ni2+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one NiO6 octahedra. There are a spread of Ni–O bond distances ranging from 2.04–2.20 Å. In the second Ni2+ site, Ni2+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one NiO6 octahedra. There are a spread of Ni–O bond distances ranging from 2.04–2.19 Å. In the third Ni2+ site, Ni2+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one NiO6 octahedra. There are a spread of Ni–O bond distances ranging from 2.02–2.17 Å. In the fourth Ni2+ site, Ni2+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one NiO6 octahedra. There are a spread of Ni–O bond distances ranging from 2.03–2.17 Å. In the fifth Ni2+ site, Ni2+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one NiO6 octahedra. There are a spread of Ni–O bond distances ranging from 2.02–2.18 Å. In the sixth Ni2+ site, Ni2+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one NiO6 octahedra. There are a spread of Ni–O bond distances ranging from 2.02–2.18 Å. There are twelve inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three NiO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 41–60°. There are a spread of P–O bond distances ranging from 1.51–1.61 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three NiO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 40–60°. There are a spread of P–O bond distances ranging from 1.52–1.61 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three NiO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 40–60°. There are a spread of P–O bond distances ranging from 1.52–1.60 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three NiO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 41–50°. There are a spread of P–O bond distances ranging from 1.51–1.62 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three NiO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 41–51°. There are a spread of P–O bond distances ranging from 1.51–1.62 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three NiO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 41–51°. 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 corners with three NiO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 42–50°. There are a spread of P–O bond distances ranging from 1.51–1.63 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three NiO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 42–50°. 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 corners with three NiO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 41–51°. 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 corners with three NiO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 42–59°. There are a spread of P–O bond distances ranging from 1.52–1.60 Å. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three NiO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 42–59°. There are a spread of P–O bond distances ranging from 1.52–1.60 Å. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three NiO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 40–60°. There are a spread of P–O bond distances ranging from 1.51–1.60 Å. There are six inequivalent H1+ sites. In the first H1+ site, H1+ is bonded in a linear geometry to one Na1+ and two O2- atoms. There is one shorter (1.16 Å) and one longer (1.25 Å) H–O bond length. In the second H1+ site, H1+ is bonded in a linear geometry to one Na1+ and two O2- atoms. There is one shorter (1.16 Å) and one longer (1.25 Å) H–O bond length. In the third H1+ site, H1+ is bonded in a linear geometry to one Na1+ and two O2- atoms. There is one shorter (1.18 Å) and one longer (1.23 Å) H–O bond length. In the fourth H1+ site, H1+ is bonded in a linear geometry to two O2- atoms. There is one shorter (1.19 Å) and one longer (1.21 Å) H–O bond length. In the fifth H1+ site, H1+ is bonded in a linear geometry to two O2- atoms. There is one shorter (1.19 Å) and one longer (1.21 Å) H–O bond length. In the sixth H1+ site, H1+ is bonded in a linear geometry to one Na1+ and two O2- atoms. There is one shorter (1.17 Å) and one longer (1.23 Å) H–O bond length. There are forty-one inequivalent O2- sites. In the first O2- site, O2- is bonded in a 2-coordinate geometry to two Na1+, one P5+, and one H1+ atom. In the second O2- site, O2- is bonded in a 1-coordinate geometry to two Na1+, one Ni2+, and one P5+ atom. In the third O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two P5+ atoms. In the fourth O2- site, O2- is bonded in a 2-coordinate geometry to two Na1+, one P5+, and one H1+ atom. In the fifth O2- site, O2- is bonded in a 1-coordinate geometry to two Na1+, one Ni2+, and one P5+ atom. In the sixth O2- site, O2- is bonded in a 2-coordinate geometry to one Ni2+, one P5+, and one H1+ atom. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to one Na1+, two Ni2+, and one P5+ atom. In the eighth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two P5+ atoms. In the ninth O2- site, O2- is bonded in a 2-coordinate geometry to two Na1+, one P5+, and one H1+ atom. In the tenth O2- site, O2- is bonded in a 1-coordinate geometry to one Na1+, one Ni2+, and one P5+ atom. In the eleventh O2- site, O2- is bonded in a 2-coordinate geometry to one Ni2+, one P5+, and one H1+ atom. In the twelfth O2- site, O2- is bonded in a 1-coordinate geometry to two Ni2+ and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two P5+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Ni2+ and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Na1+, one Ni2+, and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a 2-coordinate geometry to one Ni2+, one P5+, and one H1+ atom. In the seventeenth O2- site, O2- is bonded in a 1-coordinate geometry to two Ni2+ and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Ni2+ and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Na1+, one Ni2+, and one P5+ atom. In the twentieth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Na1+, one Ni2+, and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Ni2+, and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Ni2+, and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a distorted trigonal planar geometry to one Na1+, one Ni2+, and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Na1+, one Ni2+, and one P5+ atom. In the twenty-fifth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Ni2+, and one P5+ atom. In the twenty-sixth O2- site, O2- is bonded in a 4-coordinate geometry to one Na1+, two Ni2+, and one P5+ atom. In the twenty-seventh O2- site, O2- is bonded in a 2-coordinate geometry to one Ni2+, one P5+, and one H1+ atom. In the twenty-eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Na1+, one Ni2+, and one P5+ atom. In the twenty-ninth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Ni2+, and one P5+ atom. In the thirtieth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two P5+ atoms. In the thirty-first O2- site, O2- is bonded in a 4-coordinate geometry to one Na1+, two Ni2+, and one P5+ atom. In the thirty-second O2- site, O2- is bonded in a 2-coordinate geometry to one Ni2+, one P5+, and one H1+ atom. In the thirty-third O2- site, O2- is bonded in a 1-coordinate geometry to one Na1+, one Ni2+, and one P5+ atom. In the thirty-fourth O2- site, O2- is bonded in a 2-coordinate geometry to one Na1+, one P5+, and one H1+ atom. In the thirty-fifth O2- site, O2- is bonded in a 4-coordinate geometry to one Na1+, two Ni2+, and one P5+ atom. In the thirty-sixth O2- site, O2- is bonded in a 2-coordinate geometry to one Ni2+, one P5+, and one H1+ atom. In the thirty-seventh O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Ni2+, and one P5+ atom. In the thirty-eighth O2- site, O2- is bonded in a 2-coordinate geometry to one Na1+, one P5+, and one H1+ atom. In the thirty-ninth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two P5+ atoms. In the fortieth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Ni2+, and one P5+ atom. In the forty-first O2- site, O2- is bonded in a 2-coordinate geometry to two Na1+, one P5+, and one H1+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Ca12Mn8Si7(H5O16)3 by Materials Project

Ca12Mn8Si7(H5O16)3 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twelve inequivalent Ca sites. In the first Ca site, Ca is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Ca–O bond distances ranging from 2.28–2.95 Å. In the second Ca site, Ca is bonded in a 5-coordinate geometry to five O atoms. There are a spread of Ca–O bond distances ranging from 2.19–2.65 Å. In the third Ca site, Ca is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Ca–O bond distances ranging from 2.25–2.93 Å. In the fourth Ca site, Ca is bonded in a 8-coordinate geometry to two H and six O atoms. There are one shorter (2.45 Å) and one longer (2.74 Å) Ca–H bond lengths. There are a spread of Ca–O bond distances ranging from 2.31–2.80 Å. In the fifth Ca site, Ca is bonded in a 4-coordinate geometry to four O atoms. There are a spread of Ca–O bond distances ranging from 2.24–2.51 Å. In the sixth Ca site, Ca is bonded in a 4-coordinate geometry to four O atoms. There are a spread of Ca–O bond distances ranging from 2.25–2.43 Å. In the seventh Ca site, Ca is bonded in a 4-coordinate geometry to four O atoms. There are a spread of Ca–O bond distances ranging from 2.23–2.48 Å. In the eighth Ca site, Ca is bonded in a 5-coordinate geometry to five O atoms. There are a spread of Ca–O bond distances ranging from 2.23–2.47 Å. In the ninth Ca site, Ca is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Ca–O bond distances ranging from 2.20–2.53 Å. In the tenth Ca site, Ca is bonded in a 6-coordinate geometry to five O atoms. There are a spread of Ca–O bond distances ranging from 2.27–2.46 Å. In the eleventh Ca site, Ca is bonded in a 4-coordinate geometry to five O atoms. There are a spread of Ca–O bond distances ranging from 2.22–2.75 Å. In the twelfth Ca site, Ca is bonded to six O atoms to form distorted CaO6 pentagonal pyramids that share corners with two SiO4 tetrahedra, a cornercorner with one MnO4 trigonal pyramid, an edgeedge with one SiO4 tetrahedra, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Ca–O bond distances ranging from 2.30–2.48 Å. There are eight inequivalent Mn sites. In the first Mn site, Mn is bonded to four O atoms to form MnO4 tetrahedra that share a cornercorner with one SiO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 1.67–1.80 Å. In the second Mn site, Mn is bonded to five O atoms to form MnO5 trigonal bipyramids that share corners with four SiO4 tetrahedra and an edgeedge with one CaO6 pentagonal pyramid. There are a spread of Mn–O bond distances ranging from 1.93–2.11 Å. In the third Mn site, Mn is bonded to five O atoms to form distorted MnO5 square pyramids that share corners with three SiO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 1.77–2.03 Å. In the fourth Mn site, Mn is bonded to five O atoms to form distorted MnO5 square pyramids that share corners with two SiO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 1.79–1.96 Å. In the fifth Mn site, Mn is bonded to five O atoms to form distorted MnO5 square pyramids that share corners with three SiO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 1.89–2.51 Å. In the sixth Mn site, Mn is bonded in a rectangular see-saw-like geometry to four O atoms. There are a spread of Mn–O bond distances ranging from 1.83–1.99 Å. In the seventh Mn site, Mn is bonded to four O atoms to form distorted MnO4 trigonal pyramids that share a cornercorner with one CaO6 pentagonal pyramid and a cornercorner with one SiO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 1.70–2.12 Å. In the eighth Mn site, Mn is bonded in a distorted see-saw-like geometry to four O atoms. There are a spread of Mn–O bond distances ranging from 1.83–2.09 Å. There are seven inequivalent Si sites. In the first Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share a cornercorner with one CaO6 pentagonal pyramid, a cornercorner with one MnO5 square pyramid, and a cornercorner with one MnO5 trigonal bipyramid. There are a spread of Si–O bond distances ranging from 1.63–1.70 Å. In the second Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with two MnO5 square pyramids. There are a spread of Si–O bond distances ranging from 1.63–1.66 Å. In the third Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share a cornercorner with one MnO5 square pyramid and a cornercorner with one MnO5 trigonal bipyramid. There are a spread of Si–O bond distances ranging from 1.61–1.72 Å. In the fourth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with two MnO5 square pyramids. There are a spread of Si–O bond distances ranging from 1.64–1.68 Å. In the fifth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share a cornercorner with one MnO5 square pyramid, a cornercorner with one MnO4 tetrahedra, a cornercorner with one MnO5 trigonal bipyramid, and an edgeedge with one CaO6 pentagonal pyramid. There are a spread of Si–O bond distances ranging from 1.63–1.69 Å. In the sixth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share a cornercorner with one MnO5 square pyramid, a cornercorner with one MnO5 trigonal bipyramid, and a cornercorner with one MnO4 trigonal pyramid. There are a spread of Si–O bond distances ranging from 1.63–1.76 Å. In the seventh Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share a cornercorner with one CaO6 pentagonal pyramid. There are a spread of Si–O bond distances ranging from 1.62–1.68 Å. There are fifteen inequivalent H sites. In the first H site, H is bonded in a single-bond geometry to one O atom. The H–O bond length is 1.00 Å. In the second H site, H is bonded in a single-bond geometry to two O atoms. There is one shorter (1.00 Å) and one longer (1.73 Å) H–O bond length. In the third H site, H is bonded in a single-bond geometry to one Ca and one O atom. The H–O bond length is 0.98 Å. In the fourth H site, H is bonded in a single-bond geometry to one Ca and one O atom. The H–O bond length is 0.98 Å. In the fifth H site, H is bonded in a single-bond geometry to one O atom. The H–O bond length is 0.98 Å. In the sixth H site, H is bonded in a distorted linear geometry to two O atoms. There is one shorter (1.01 Å) and one longer (1.59 Å) H–O bond length. In the seventh H site, H is bonded in a linear geometry to two O atoms. There is one shorter (1.03 Å) and one longer (1.56 Å) H–O bond length. In the eighth H site, H is bonded in a 1-coordinate geometry to two O atoms. There is one shorter (1.02 Å) and one longer (1.61 Å) H–O bond length. In the ninth H site, H is bonded in a distorted linear geometry to two O atoms. There is one shorter (1.01 Å) and one longer (1.60 Å) H–O bond length. In the tenth H site, H is bonded in a single-bond geometry to two O atoms. There is one shorter (1.00 Å) and one longer (1.74 Å) H–O bond length. In the eleventh H site, H is bonded in a single-bond geometry to one O atom. The H–O bond length is 1.00 Å. In the twelfth H site, H is bonded in a single-bond geometry to one O atom. The H–O bond length is 0.97 Å. In the thirteenth H site, H is bonded in a linear geometry to two O atoms. There is one shorter (1.00 Å) and one longer (1.56 Å) H–O bond length. In the fourteenth H site, H is bonded in a single-bond geometry to one O atom. The H–O bond length is 1.00 Å. In the fifteenth H site, H is bonded in a single-bond geometry to one O atom. The H–O bond length is 0.99 Å. There are forty-eight inequivalent O sites. In the first O site, O is bonded in a 2-coordinate geometry to two Ca, one Mn, and one Si atom. In the second O site, O is bonded in a water-like geometry to one Mn and one H atom. In the third O site, O is bonded in a distorted trigonal planar geometry to one Ca, one Mn, and one H atom. In the fourth O site, O is bonded in a distorted single-bond geometry to two Ca, one Mn, and one H atom. In the fifth O site, O is bonded in a 3-coordinate geometry to two Ca and one Si atom. In the sixth O site, O is bonded in a 1-coordinate geometry to two Ca and one Si atom. In the seventh O site, O is bonded in a 2-coordinate geometry to two Ca, one Si, and one H atom. In the eighth O site, O is bonded in a 1-coordinate geometry to two Ca, one Si, and one H atom. In the ninth O site, O is bonded in a 3-coordinate geometry to two Ca and one Mn atom. In the tenth O site, O is bonded in a 1-coordinate geometry to one Ca, one Mn, and one H atom. In the eleventh O site, O is bonded in a distorted trigonal non-coplanar geometry to one Ca, one Mn, and one H atom. In the twelfth O site, O is bonded in a 1-coordinate geometry to one Ca, one Mn, and one H atom. In the thirteenth O site, O is bonded in a water-like geometry to one Ca and one Mn atom. In the fourteenth O site, O is bonded to two Ca, one Mn, and one Si atom to form distorted edge-sharing OCa2MnSi trigonal pyramids. In the fifteenth O site, O is bonded in a distorted T-shaped geometry to one Ca, one Si, and one H atom. In the sixteenth O site, O is bonded in a 4-coordinate geometry to two Ca, one Mn, and one Si atom. In the seventeenth O site, O is bonded in a distorted trigonal planar geometry to one Ca, one Mn, and one Si atom. In the eighteenth O site, O is bonded in a trigonal planar geometry to two Ca and one Mn atom. In the nineteenth O site, O is bonded in a 3-coordinate geometry to one Ca, one Mn, and one H atom. In the twentieth O site, O is bonded in a distorted bent 120 degrees geometry to one Ca, one Mn, and one Si atom. In the twenty-first O site, O is bonded in a distorted trigonal non-coplanar geometry to one Ca, one Mn, and one H atom. In the twenty-second O site, O is bonded in a 1-coordinate geometry to one Mn, one Si, and one H atom. In the twenty-third O site, O is bonded in a 4-coordinate geometry to two Ca, one Mn, and one Si atom. In the twenty-fourth O site, O is bonded in a distorted trigonal non-coplanar geometry to two Ca and one Mn atom. In the twenty-fifth O site, O is bonded in a distorted trigonal planar geometry to two Ca and one Si atom. In the twenty-sixth O site, O is bonded in a bent 120 degrees geometry to one Mn and one Si atom. In the twenty-seventh O site, O is bonded in a 1-coordinate geometry to one Ca, one Mn, and one H atom. In the twenty-eighth O site, O is bonded in a distorted bent 150 degrees geometry to one Mn and one Si atom. In the twenty-ninth O site, O is bonded in a distorted single-bond geometry to one Ca, one Mn, and one H atom. In the thirtieth O site, O is bonded in a distorted single-bond geometry to one Ca, one Mn, and one H atom. In the thirty-first O site, O is bonded in a distorted trigonal non-coplanar geometry to one Ca, one Mn, and one Si atom. In the thirty-second O site, O is bonded in a distorted bent 120 degrees geometry to one Mn and one Si atom. In the thirty-third O site, O is bonded in a 3-coordinate geometry to two Ca and one Si atom. In the thirty-fourth O site, O is bonded in a trigonal planar geometry to two Ca and one Mn atom. In the thirty-fifth O site, O is bonded to two Ca, one Si, and one H atom to form distorted corner-sharing OCa2SiH trigonal pyramids. In the thirty-sixth O site, O is bonded in a distorted trigonal planar geometry to one Ca, one Si, and one H atom. In the thirty-seventh O site, O is bonded in a 3-coordinate geometry to one Ca, one Mn, and one H atom. In the thirty-eighth O site, O is bonded in a 1-coordinate geometry to one Mn, one Si, and one H atom. In the thirty-ninth O site, O is bonded in a 2-coordinate geometry to one Ca, one Mn, and one Si atom. In the fortieth O site, O is bonded to three Ca and one Mn atom to form distorted corner-sharing OCa3Mn tetrahedra. In the forty-first O site, O is bonded in a distorted trigonal non-coplanar geometry to two Ca and one Si atom. I

36 MATERIALS SCIENCE↗

Materials Data on Li5Sm3(SbO6)2 by Materials Project

Li5Sm3(SbO6)2 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twenty inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.81–2.38 Å. In the second Li1+ site, Li1+ is bonded in a 3-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.87–2.43 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four SbO6 octahedra. The corner-sharing octahedra tilt angles range from 49–52°. There are a spread of Li–O bond distances ranging from 1.91–1.98 Å. In the fourth 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 1.79–2.43 Å. In the fifth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.82–2.16 Å. In the sixth 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 1.80–2.52 Å. In the seventh Li1+ site, Li1+ is bonded in a 3-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 1.88–2.71 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 1.83–2.52 Å. In the ninth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.81–2.36 Å. In the tenth 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 1.84–2.19 Å. In the eleventh Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four SbO6 octahedra. The corner-sharing octahedra tilt angles range from 43–54°. There are a spread of Li–O bond distances ranging from 1.85–1.98 Å. In the twelfth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 1.86–2.65 Å. In the thirteenth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 1.87–2.74 Å. In the fourteenth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four SbO6 octahedra. The corner-sharing octahedra tilt angles range from 49–53°. There are a spread of Li–O bond distances ranging from 1.88–1.95 Å. In the fifteenth 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 1.81–2.26 Å. In the sixteenth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 1.84–2.74 Å. In the seventeenth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four SbO6 octahedra. The corner-sharing octahedra tilt angles range from 49–52°. There are a spread of Li–O bond distances ranging from 1.88–1.96 Å. In the eighteenth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.87–2.75 Å. In the nineteenth 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 1.82–2.41 Å. In the twentieth 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 1.83–2.15 Å. There are twelve inequivalent Sm3+ sites. In the first Sm3+ site, Sm3+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Sm–O bond distances ranging from 2.39–2.63 Å. In the second Sm3+ site, Sm3+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Sm–O bond distances ranging from 2.38–2.65 Å. In the third Sm3+ site, Sm3+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Sm–O bond distances ranging from 2.37–2.58 Å. In the fourth Sm3+ site, Sm3+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Sm–O bond distances ranging from 2.38–2.64 Å. In the fifth Sm3+ site, Sm3+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Sm–O bond distances ranging from 2.37–2.66 Å. In the sixth Sm3+ site, Sm3+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Sm–O bond distances ranging from 2.35–2.66 Å. In the seventh Sm3+ site, Sm3+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Sm–O bond distances ranging from 2.35–2.60 Å. In the eighth Sm3+ site, Sm3+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Sm–O bond distances ranging from 2.35–2.67 Å. In the ninth Sm3+ site, Sm3+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Sm–O bond distances ranging from 2.36–2.60 Å. In the tenth Sm3+ site, Sm3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Sm–O bond distances ranging from 2.33–2.68 Å. In the eleventh Sm3+ site, Sm3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Sm–O bond distances ranging from 2.35–2.81 Å. In the twelfth Sm3+ site, Sm3+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Sm–O bond distances ranging from 2.35–2.62 Å. There are eight inequivalent Sb5+ sites. In the first Sb5+ site, Sb5+ is bonded to six O2- atoms to form SbO6 octahedra that share corners with two LiO4 tetrahedra. There are a spread of Sb–O bond distances ranging from 2.01–2.04 Å. In the second Sb5+ site, Sb5+ is bonded to six O2- atoms to form SbO6 octahedra that share corners with three LiO4 tetrahedra. There are a spread of Sb–O bond distances ranging from 2.01–2.04 Å. In the third Sb5+ site, Sb5+ is bonded to six O2- atoms to form SbO6 octahedra that share corners with two LiO4 tetrahedra. There are a spread of Sb–O bond distances ranging from 1.99–2.05 Å. In the fourth Sb5+ site, Sb5+ is bonded to six O2- atoms to form SbO6 octahedra that share a cornercorner with one LiO4 tetrahedra. There are a spread of Sb–O bond distances ranging from 2.01–2.06 Å. In the fifth Sb5+ site, Sb5+ is bonded to six O2- atoms to form SbO6 octahedra that share a cornercorner with one LiO4 tetrahedra. There are a spread of Sb–O bond distances ranging from 2.01–2.03 Å. In the sixth Sb5+ site, Sb5+ is bonded to six O2- atoms to form SbO6 octahedra that share corners with three LiO4 tetrahedra. There are a spread of Sb–O bond distances ranging from 2.01–2.04 Å. In the seventh Sb5+ site, Sb5+ is bonded to six O2- atoms to form SbO6 octahedra that share corners with two LiO4 tetrahedra. There are four shorter (2.02 Å) and two longer (2.03 Å) Sb–O bond lengths. In the eighth Sb5+ site, Sb5+ is bonded to six O2- atoms to form SbO6 octahedra that share corners with two LiO4 tetrahedra. There are a spread of Sb–O bond distances ranging from 2.02–2.04 Å. There are forty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, two Sm3+, and one Sb5+ atom. In the second O2- site, O2- is bonded in a 5-coordinate geometry to two Li1+, two Sm3+, and one Sb5+ atom. In the third O2- site, O2- is bonded to one Li1+, two Sm3+, and one Sb5+ atom to form a mixture of distorted corner and edge-sharing OLiSm2Sb tetrahedra. In the fourth O2- site, O2- is bonded in a 5-coordinate geometry to two Li1+, two Sm3+, and one Sb5+ atom. In the fifth O2- site, O2- is bonded in a 5-coordinate geometry to two Li1+, two Sm3+, and one Sb5+ atom. In the sixth O2- site, O2- is bonded in a 5-coordinate geometry to two Li1+, two Sm3+, and one Sb5+ atom. In the seventh O2- site, O2- is bonded in a 5-coordinate geometry to two Li1+, two Sm3+, and one Sb5+ atom. In the eighth O2- site, O2- is bonded in a 6-coordinate geometry to three Li1+, two Sm3+, and one Sb5+ atom. In the ninth O2- site, O2- is bonded in a 5-coordinate geometry to two Li1+, two Sm3+, and one Sb5+ atom. In the tenth O2- site, O2- is bonded in a 5-coordinate geometry to two Li1+, two Sm3+, and one Sb5+ atom. In the eleventh O2- site, O2- is bonded in a 5-coordinate geometry to two Li1+, two Sm3+, and one Sb5+ atom. In the twelfth O2- site, O2- is bonded in a 5-coordinate geometry to two Li1+, two Sm3+, and one Sb5+ atom. In the thirteenth O2- site, O2- is bonded in a 5-coordinate geometry to two Li1+, two Sm3+, and one Sb5+ atom. In the fourteenth O2- site, O2- is bonded to one Li1+, two Sm3+, and one Sb5+ atom to form distorted corner-sharing OLiSm2Sb tetrahedra. In the fifteenth O2- site, O2- is bonded to one Li1+, two Sm3+, and one Sb5+ atom to form distorted corner-sharing OLiSm2Sb tetrahedra. In the sixteenth O2- site, O2- is bonded in a 5-coordinate geometry to two Li1+, two Sm3+, and one Sb5+ atom. In the seventeenth O2- site, O2- is bonded in a 5-coordinate geometry to two Li1+, two Sm3+, and one Sb5+ atom. In the eighteenth O2- site, O2- is bonded in a 5-coordinate geometry to two Li1+, two Sm3+, and one Sb5+ atom. In the nineteenth O2- site, O2- is bonded to one Li1+, two Sm3+, and one Sb5+ atom to form a mixture of distorted corner and edge-sharing OLiSm2Sb tetrahedra. In the twentieth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Sm3+, and one Sb5+ atom. In the twenty-first O2- site, O2- is bonded to one Li1+, two Sm3+, and one Sb5+ atom to form distorted corner-sharing OLiSm2Sb tetrahedra. In the twenty-second O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, two Sm3+, and one Sb5+ atom. In the twenty-third O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Sm3+, and one Sb5+ atom. In the twenty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Sm3+, and one Sb5+ atom. In the twenty-fifth O2- site, O2- is bonded in a 1-coordinate geometry to two Li1+, two Sm3+, and one Sb5+ atom. In the twenty-sixth O2- site, O2- is bonded in a 5-coordinate geometry to two Li1+, two Sm3+, and one Sb5+ atom. In the twenty-seventh O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Sm3+, and one Sb5+ atom. In the twenty-eighth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Sm3+, and one Sb5+ atom. In the twenty-ninth O2- site, O2- is bonded in a 5-coordinate geometry to two Li1+, two Sm3+, and one Sb5+ atom. In the thirtieth O2- site, O2- is bonded in a 1-coordinate geometry to two Li1+, two Sm3+, and one Sb5+ atom. In the thirty-first O2- site, O2- is bonded in a 6-coordinate geometry to three Li1+, two Sm3+, and one Sb5+ atom. In the thirty-second O2- site, O2- is bonded in a 5-coordinate geometry to two Li1+, two Sm3+, and one Sb5+ atom. In the thirty-third O2- site, O2- is bonded in a 6-coordinate geometry to three Li1+, two Sm3+, and one Sb5+ atom. In the thirty-fourth O2- site, O2- is bonded in a 1-coordinate geometry to two Li1+, two Sm3+, and one Sb5+ atom. In the thirty-fifth O2- site, O2- is bonded in a 5-coordinate geometry to two Li1+, two Sm3+, and one Sb5+ atom. In the thirty-sixth O2- site, O2- is bonded in a 6-coordinate geometry to three Li1+, two Sm3+, and one Sb5+ atom. In the thirty-seventh O2- site, O2- is bonded in a 5-coordinate geometry to two Li1+, two Sm3+, and one Sb5+ atom. In the thirty-eighth O2- site, O2- is bonded in a 5-coordinate geometry to two Li1+, two Sm3+, and one Sb5+ atom. In the thirty-ninth O2- site, O2- is bonded in a distorted octahedral geometry to three Li1+, two Sm3+, and one Sb5+ atom. In the fortieth O2- site, O2- is bonded in a 5-coordinate geometry to two Li1+, two Sm3+, and one Sb5+ atom. In the forty-fir

36 MATERIALS SCIENCE↗

Materials Data on Li4V3P8O29 by Materials Project

Li4V3P8O29 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four PO4 tetrahedra and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.97–2.15 Å. In the second Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.97–2.33 Å. In the third Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.94–2.25 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 1.98–2.72 Å. In the fifth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.96–2.18 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 2.00–2.68 Å. In the seventh Li1+ site, Li1+ is bonded in a 2-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.92–2.66 Å. In the eighth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 1.97–2.77 Å. There are six inequivalent V+4.67+ sites. In the first V+4.67+ site, V+4.67+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.83–1.93 Å. In the second V+4.67+ site, V+4.67+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.90–1.98 Å. In the third V+4.67+ site, V+4.67+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.86–1.92 Å. In the fourth V+4.67+ site, V+4.67+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.81–1.95 Å. In the fifth V+4.67+ site, V+4.67+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.90–2.00 Å. In the sixth V+4.67+ site, V+4.67+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.85–1.99 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 corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedral tilt angles are 37°. 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 corners with two VO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 37–38°. There are a spread of P–O bond distances ranging from 1.49–1.61 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 38–43°. There are a spread of P–O bond distances ranging from 1.50–1.63 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra and a cornercorner with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 30–36°. There are a spread of P–O bond distances ranging from 1.49–1.60 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 31–36°. There are a spread of P–O bond distances ranging from 1.49–1.60 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 38–41°. There are a spread of P–O bond distances ranging from 1.48–1.64 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 38–40°. There are a spread of P–O bond distances ranging from 1.51–1.60 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 38–39°. There are a spread of P–O bond distances ranging from 1.50–1.61 Å. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 38–39°. There are a spread of P–O bond distances ranging from 1.49–1.61 Å. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 34–38°. There are a spread of P–O bond distances ranging from 1.49–1.60 Å. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 36–46°. There are a spread of P–O bond distances ranging from 1.49–1.62 Å. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 30–35°. There are a spread of P–O bond distances ranging from 1.49–1.61 Å. In the thirteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 27–33°. There are a spread of P–O bond distances ranging from 1.49–1.61 Å. In the fourteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 36–43°. There are a spread of P–O bond distances ranging from 1.48–1.63 Å. In the fifteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 37–46°. There are a spread of P–O bond distances ranging from 1.49–1.62 Å. In the sixteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 37–43°. There are a spread of P–O bond distances ranging from 1.50–1.62 Å. There are fifty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a bent 150 degrees geometry to one Li1+ and one P5+ atom. In the second O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the third O2- site, O2- is bonded in a distorted trigonal planar geometry to two Li1+ and one P5+ atom. In the fourth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the fifth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the sixth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one V+4.67+, and one P5+ atom. In the seventh O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the eighth O2- site, O2- is bonded in a 3-coordinate geometry to two Li1+ and one P5+ atom. In the ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+4.67+, and one P5+ atom. In the tenth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the eleventh O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the twelfth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+4.67+, and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a single-bond geometry to one P5+ atom. In the fourteenth O2- site, O2- is bonded in a single-bond geometry to one P5+ atom. In the fifteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+4.67+, and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+4.67+, and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a bent 120 degrees geometry to two P5+ atoms. In the twentieth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Li1+ and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a bent 150 degrees geometry to one Li1+ and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one V+4.67+, and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the twenty-fifth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the twenty-sixth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the twenty-seventh O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two P5+ atoms. In the twenty-eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Li1+ and one P5+ atom. In the twenty-ninth O2- site, O2- is bonded in a 2-coordinate geometry to two Li1+ and one P5+ atom. In the thirtieth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the thirty-first O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the thirty-second O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the thirty-third O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+4.67+, and one P5+ atom. In the thirty-fourth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the thirty-fifth O2- site, O2- is bonded in a 2-coordinate geometry to two Li1+ and one P5+ atom. In the thirty-sixth O2- site, O2- is bonded in a 3-coordinate geometry to two Li1+ and one P5+ atom. In the thirty-seventh O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two P5+ atoms. In the thirty-eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+4.67+, and one P5+ atom. In the thirty-ninth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the fortieth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the forty-first O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the forty-second O2- site, O2- is bonded in a distorted single-bond geometry to one Li1+ and one P5+ atom. In the

36 MATERIALS SCIENCE↗