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Materials Data on Li3Mn4(BO3)4 by Materials Project

Li3Mn4(BO3)4 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are nine inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra and corners with four MnO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 1.92–2.13 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with three MnO5 trigonal bipyramids, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.93–2.09 Å. In the third Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, corners with two MnO5 trigonal bipyramids, an edgeedge with one LiO4 tetrahedra, and edges with two MnO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 2.00–2.50 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, corners with three MnO5 trigonal bipyramids, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.97–2.12 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three MnO5 trigonal bipyramids, an edgeedge with one LiO5 trigonal bipyramid, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.91–2.07 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with two LiO4 tetrahedra and corners with three MnO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 1.95–2.10 Å. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra and corners with three MnO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 1.93–2.05 Å. In the eighth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with four MnO5 trigonal bipyramids, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.91–2.06 Å. In the ninth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two MnO5 trigonal bipyramids and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.88–2.15 Å. There are twelve inequivalent Mn+2.25+ sites. In the first Mn+2.25+ site, Mn+2.25+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Mn–O bond distances ranging from 2.07–2.34 Å. In the second Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with three LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Mn–O bond distances ranging from 2.08–2.26 Å. In the third Mn+2.25+ site, Mn+2.25+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Mn–O bond distances ranging from 2.00–2.67 Å. In the fourth Mn+2.25+ site, Mn+2.25+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Mn–O bond distances ranging from 1.92–2.23 Å. In the fifth Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with four LiO4 tetrahedra, an edgeedge with one LiO5 trigonal bipyramid, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.10–2.19 Å. In the sixth Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with four LiO4 tetrahedra and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.06–2.29 Å. In the seventh Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with two LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Mn–O bond distances ranging from 1.95–2.16 Å. In the eighth Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with two LiO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, an edgeedge with one LiO4 tetrahedra, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.07–2.36 Å. In the ninth Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with three LiO4 tetrahedra and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Mn–O bond distances ranging from 1.95–2.08 Å. In the tenth Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with three LiO4 tetrahedra, an edgeedge with one LiO5 trigonal bipyramid, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Mn–O bond distances ranging from 2.07–2.28 Å. In the eleventh Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with two LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.06–2.31 Å. In the twelfth Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with two LiO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, an edgeedge with one LiO4 tetrahedra, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.07–2.28 Å. There are twelve inequivalent B3+ sites. In the first B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.37–1.43 Å. In the second B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.38–1.40 Å. In the third B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.37–1.43 Å. In the fourth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.38 Å) and one longer (1.40 Å) B–O bond length. In the fifth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.38 Å) and one longer (1.41 Å) B–O bond length. In the sixth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.36–1.43 Å. In the seventh B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.36–1.40 Å. In the eighth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.37–1.42 Å. In the ninth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.35–1.44 Å. In the tenth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.35–1.43 Å. In the eleventh B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.35–1.43 Å. In the twelfth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.37–1.42 Å. There are thirty-six inequivalent O2- sites. In the first O2- site, O2- is bonded to one Li1+, two Mn+2.25+, and one B3+ atom to form distorted corner-sharing OLiMn2B tetrahedra. In the second O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the third O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the fourth O2- site, O2- is bonded in a distorted trigonal pyramidal geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Mn+2.25+, and one B3+ atom. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the eighth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Mn+2.25+, and one B3+ atom. In the ninth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Mn+2.25+, and one B3+ atom. In the tenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the eleventh O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Mn+2.25+, and one B3+ atom. In the fourteenth O2- site, O2- is bonded to two Li1+, one Mn+2.25+, and one B3+ atom to form distorted corner-sharing OLi2MnB trigonal pyramids. In the fifteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the sixteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the seventeenth O2- site, O2- is bonded to one Li1+, two Mn+2.25+, and one B3+ atom to form distorted OLiMn2B tetrahedra that share a cornercorner with one OLiMn2B tetrahedra and a cornercorner with one OLi2MnB trigonal pyramid. In the eighteenth O2- site, O2- is bonded to two Li1+, one Mn+2.25+, and one B3+ atom to form distorted corner-sharing OLi2MnB trigonal pyramids. In the nineteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Mn+2.25+, and one B3+ atom. In the twentieth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the twenty-first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the twenty-second O2- site, O2- is bonded to one Li1+, two Mn+2.25+, and one B3+ atom to form distorted OLiMn2B tetrahedra that share a cornercorner with one OLiMn2B tetrahedra and a cornercorner with one OLi2MnB trigonal pyramid. In the twenty-third O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn+2.25+, and one B3+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Mn+2.25+, and one B3+ atom. In the twenty-fifth O2- site, O2- is bonded in a 3-coordinate geometry to two Mn+2.25+ and one B3+ atom. In the twenty-sixth O2- site, O2- is bonded in a 1-coordinate geometry to two Mn+2.25+ and one B3+ atom. In the twenty-seventh O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Mn+2.25+ and one B3+ atom. In the twenty-eighth O2- site, O2- is bonded to two Li1+, one Mn+2.25+, and one B3+ atom to form distorted corner-sharing OLi2MnB trigonal pyramids. In the twenty-ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.25+, and one B3+ atom. In the thirtieth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the thirty-first O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the

36 MATERIALS SCIENCE↗

Materials Data on Na3La8Ti9Mn3O36 by Materials Project

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

36 MATERIALS SCIENCE↗

Materials Data on SrNd10Se12(Cl2O9)4 by Materials Project

SrNd10Se12(O9Cl2)4 crystallizes in the monoclinic Cc space group. The structure is three-dimensional. Sr2+ is bonded in a 8-coordinate geometry to four O2- and four Cl1- atoms. There are a spread of Sr–O bond distances ranging from 2.51–2.61 Å. There are a spread of Sr–Cl bond distances ranging from 3.07–3.26 Å. There are ten inequivalent Nd3+ sites. In the first Nd3+ site, Nd3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Nd–O bond distances ranging from 2.41–2.46 Å. In the second Nd3+ site, Nd3+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of Nd–O bond distances ranging from 2.47–2.80 Å. In the third Nd3+ site, Nd3+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of Nd–O bond distances ranging from 2.44–2.75 Å. In the fourth Nd3+ site, Nd3+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of Nd–O bond distances ranging from 2.46–2.81 Å. In the fifth Nd3+ site, Nd3+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of Nd–O bond distances ranging from 2.48–2.74 Å. In the sixth Nd3+ site, Nd3+ is bonded in a distorted q6 geometry to ten O2- atoms. There are a spread of Nd–O bond distances ranging from 2.51–2.69 Å. In the seventh Nd3+ site, Nd3+ is bonded in a distorted q6 geometry to ten O2- atoms. There are a spread of Nd–O bond distances ranging from 2.49–2.67 Å. In the eighth Nd3+ site, Nd3+ is bonded in a 8-coordinate geometry to four O2- and four Cl1- atoms. There are a spread of Nd–O bond distances ranging from 2.40–2.47 Å. There are a spread of Nd–Cl bond distances ranging from 2.88–3.13 Å. In the ninth Nd3+ site, Nd3+ is bonded in a 8-coordinate geometry to four O2- and four Cl1- atoms. There are a spread of Nd–O bond distances ranging from 2.40–2.47 Å. There are a spread of Nd–Cl bond distances ranging from 2.95–3.04 Å. In the tenth Nd3+ site, Nd3+ is bonded in a 8-coordinate geometry to four O2- and four Cl1- atoms. There are a spread of Nd–O bond distances ranging from 2.38–2.48 Å. There are a spread of Nd–Cl bond distances ranging from 2.87–3.14 Å. There are twelve inequivalent Se4+ sites. In the first Se4+ site, Se4+ is bonded in a distorted trigonal non-coplanar geometry to three O2- atoms. There are a spread of Se–O bond distances ranging from 1.72–1.77 Å. In the second Se4+ site, Se4+ is bonded in a distorted trigonal non-coplanar geometry to three O2- atoms. There are a spread of Se–O bond distances ranging from 1.72–1.77 Å. In the third Se4+ site, Se4+ is bonded in a distorted trigonal non-coplanar geometry to three O2- atoms. There are a spread of Se–O bond distances ranging from 1.73–1.76 Å. In the fourth Se4+ site, Se4+ is bonded in a distorted trigonal non-coplanar geometry to three O2- atoms. There are a spread of Se–O bond distances ranging from 1.72–1.77 Å. In the fifth Se4+ site, Se4+ is bonded in a distorted trigonal non-coplanar geometry to three O2- atoms. There is two shorter (1.74 Å) and one longer (1.75 Å) Se–O bond length. In the sixth Se4+ site, Se4+ is bonded in a distorted trigonal non-coplanar geometry to three O2- atoms. There are a spread of Se–O bond distances ranging from 1.71–1.76 Å. In the seventh Se4+ site, Se4+ is bonded in a distorted trigonal non-coplanar geometry to three O2- atoms. There are a spread of Se–O bond distances ranging from 1.72–1.76 Å. In the eighth Se4+ site, Se4+ is bonded in a distorted trigonal non-coplanar geometry to three O2- atoms. There is two shorter (1.74 Å) and one longer (1.75 Å) Se–O bond length. In the ninth Se4+ site, Se4+ is bonded in a distorted trigonal non-coplanar geometry to three O2- atoms. There are a spread of Se–O bond distances ranging from 1.72–1.76 Å. In the tenth Se4+ site, Se4+ is bonded in a distorted trigonal non-coplanar geometry to three O2- atoms. There are a spread of Se–O bond distances ranging from 1.72–1.75 Å. In the eleventh Se4+ site, Se4+ is bonded in a distorted trigonal non-coplanar geometry to three O2- atoms. There are a spread of Se–O bond distances ranging from 1.72–1.76 Å. In the twelfth Se4+ site, Se4+ is bonded in a distorted trigonal non-coplanar geometry to three O2- atoms. There are a spread of Se–O bond distances ranging from 1.72–1.76 Å. There are thirty-six inequivalent O2- sites. In the first O2- site, O2- is bonded in a 1-coordinate geometry to three Nd3+ and one Se4+ atom. In the second O2- site, O2- is bonded in a distorted single-bond geometry to three Nd3+ and one Se4+ atom. In the third O2- site, O2- is bonded in a 3-coordinate geometry to two Nd3+ and one Se4+ atom. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to two Nd3+ and one Se4+ atom. In the fifth O2- site, O2- is bonded in a 3-coordinate geometry to two Nd3+ and one Se4+ atom. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to two Nd3+ and one Se4+ atom. In the seventh O2- site, O2- is bonded in a 3-coordinate geometry to two Nd3+ and one Se4+ atom. In the eighth O2- site, O2- is bonded in a 3-coordinate geometry to two Nd3+ and one Se4+ atom. In the ninth O2- site, O2- is bonded in a 3-coordinate geometry to two Nd3+ and one Se4+ atom. In the tenth O2- site, O2- is bonded in a 3-coordinate geometry to two Nd3+ and one Se4+ atom. In the eleventh O2- site, O2- is bonded in a 3-coordinate geometry to two Nd3+ and one Se4+ atom. In the twelfth O2- site, O2- is bonded in a 3-coordinate geometry to two Nd3+ and one Se4+ atom. In the thirteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Nd3+ and one Se4+ atom. In the fourteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Nd3+ and one Se4+ atom. In the fifteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Nd3+ and one Se4+ atom. In the sixteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Sr2+, one Nd3+, and one Se4+ atom. In the seventeenth O2- site, O2- is bonded in a 3-coordinate geometry to two Nd3+ and one Se4+ atom. In the eighteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Nd3+ and one Se4+ atom. In the nineteenth O2- site, O2- is bonded in a 4-coordinate geometry to three Nd3+ and one Se4+ atom. In the twentieth O2- site, O2- is bonded in a 4-coordinate geometry to three Nd3+ and one Se4+ atom. In the twenty-first O2- site, O2- is bonded in a 4-coordinate geometry to one Sr2+, two Nd3+, and one Se4+ atom. In the twenty-second O2- site, O2- is bonded in a 4-coordinate geometry to three Nd3+ and one Se4+ atom. In the twenty-third O2- site, O2- is bonded in a 3-coordinate geometry to two Nd3+ and one Se4+ atom. In the twenty-fourth O2- site, O2- is bonded in a 3-coordinate geometry to two Nd3+ and one Se4+ atom. In the twenty-fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Sr2+, one Nd3+, and one Se4+ atom. In the twenty-sixth O2- site, O2- is bonded in a 3-coordinate geometry to two Nd3+ and one Se4+ atom. In the twenty-seventh O2- site, O2- is bonded in a 3-coordinate geometry to two Nd3+ and one Se4+ atom. In the twenty-eighth O2- site, O2- is bonded in a 3-coordinate geometry to two Nd3+ and one Se4+ atom. In the twenty-ninth O2- site, O2- is bonded in a 3-coordinate geometry to two Nd3+ and one Se4+ atom. In the thirtieth O2- site, O2- is bonded in a 3-coordinate geometry to two Nd3+ and one Se4+ atom. In the thirty-first O2- site, O2- is bonded in a 4-coordinate geometry to three Nd3+ and one Se4+ atom. In the thirty-second O2- site, O2- is bonded in a 4-coordinate geometry to one Sr2+, two Nd3+, and one Se4+ atom. In the thirty-third O2- site, O2- is bonded in a 4-coordinate geometry to three Nd3+ and one Se4+ atom. In the thirty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to three Nd3+ and one Se4+ atom. In the thirty-fifth O2- site, O2- is bonded in a distorted single-bond geometry to three Nd3+ and one Se4+ atom. In the thirty-sixth O2- site, O2- is bonded in a 1-coordinate geometry to three Nd3+ and one Se4+ atom. There are eight inequivalent Cl1- sites. In the first Cl1- site, Cl1- is bonded in a distorted water-like geometry to one Sr2+ and one Nd3+ atom. In the second Cl1- site, Cl1- is bonded in a distorted bent 120 degrees geometry to two Nd3+ atoms. In the third Cl1- site, Cl1- is bonded in a water-like geometry to one Sr2+ and one Nd3+ atom. In the fourth Cl1- site, Cl1- is bonded in a distorted water-like geometry to two Nd3+ atoms. In the fifth Cl1- site, Cl1- is bonded in a bent 120 degrees geometry to one Sr2+ and one Nd3+ atom. In the sixth Cl1- site, Cl1- is bonded in a bent 120 degrees geometry to two Nd3+ atoms. In the seventh Cl1- site, Cl1- is bonded in a distorted linear geometry to one Sr2+ and one Nd3+ atom. In the eighth Cl1- site, Cl1- is bonded in a distorted linear geometry to two Nd3+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on BaPb2(SO4)3 by Materials Project

BaPb2(SO4)3 crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are four inequivalent Ba2+ sites. In the first Ba2+ site, Ba2+ is bonded in a 12-coordinate geometry to ten O2- atoms. There are a spread of Ba–O bond distances ranging from 2.71–3.08 Å. In the second Ba2+ site, Ba2+ is bonded in a 12-coordinate geometry to ten O2- atoms. There are a spread of Ba–O bond distances ranging from 2.72–3.08 Å. In the third Ba2+ site, Ba2+ is bonded in a 12-coordinate geometry to ten O2- atoms. There are a spread of Ba–O bond distances ranging from 2.72–3.09 Å. In the fourth Ba2+ site, Ba2+ is bonded in a 12-coordinate geometry to ten O2- atoms. There are a spread of Ba–O bond distances ranging from 2.71–3.09 Å. There are eight inequivalent Pb2+ sites. In the first Pb2+ site, Pb2+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of Pb–O bond distances ranging from 2.68–3.09 Å. In the second Pb2+ site, Pb2+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of Pb–O bond distances ranging from 2.68–3.09 Å. In the third Pb2+ site, Pb2+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of Pb–O bond distances ranging from 2.68–3.06 Å. In the fourth Pb2+ site, Pb2+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of Pb–O bond distances ranging from 2.65–3.07 Å. In the fifth Pb2+ site, Pb2+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of Pb–O bond distances ranging from 2.65–3.07 Å. In the sixth Pb2+ site, Pb2+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of Pb–O bond distances ranging from 2.69–3.06 Å. In the seventh Pb2+ site, Pb2+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of Pb–O bond distances ranging from 2.70–3.06 Å. In the eighth Pb2+ site, Pb2+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of Pb–O bond distances ranging from 2.67–3.06 Å. There are eleven inequivalent S6+ sites. In the first S6+ site, S6+ is bonded in a tetrahedral geometry to four O2- atoms. There are a spread of S–O bond distances ranging from 1.47–1.51 Å. In the second S6+ site, S6+ is bonded in a tetrahedral geometry to four O2- atoms. There is one shorter (1.48 Å) and three longer (1.50 Å) S–O bond length. In the third S6+ site, S6+ is bonded in a tetrahedral geometry to four O2- atoms. There is one shorter (1.48 Å) and three longer (1.50 Å) S–O bond length. In the fourth S6+ site, S6+ is bonded in a tetrahedral geometry to four O2- atoms. There are a spread of S–O bond distances ranging from 1.48–1.51 Å. In the fifth S6+ site, S6+ is bonded in a tetrahedral geometry to four O2- atoms. There are a spread of S–O bond distances ranging from 1.48–1.51 Å. In the sixth S6+ site, S6+ is bonded in a tetrahedral geometry to four O2- atoms. There are a spread of S–O bond distances ranging from 1.47–1.51 Å. In the seventh S6+ site, S6+ is bonded in a tetrahedral geometry to four O2- atoms. There are a spread of S–O bond distances ranging from 1.47–1.51 Å. In the eighth S6+ site, S6+ is bonded in a tetrahedral geometry to four O2- atoms. There are a spread of S–O bond distances ranging from 1.47–1.51 Å. In the ninth S6+ site, S6+ is bonded in a tetrahedral geometry to four O2- atoms. There are a spread of S–O bond distances ranging from 1.47–1.51 Å. In the tenth S6+ site, S6+ is bonded in a tetrahedral geometry to four O2- atoms. There are a spread of S–O bond distances ranging from 1.47–1.51 Å. In the eleventh S6+ site, S6+ is bonded in a tetrahedral geometry to four O2- atoms. There are a spread of S–O bond distances ranging from 1.47–1.51 Å. There are thirty-six inequivalent O2- sites. In the first O2- site, O2- is bonded in a single-bond geometry to one Pb2+ and one S6+ atom. In the second O2- site, O2- is bonded in a distorted single-bond geometry to one Pb2+ and one S6+ atom. In the third O2- site, O2- is bonded in a distorted single-bond geometry to one Pb2+ and one S6+ atom. The O–S bond length is 1.47 Å. In the fourth O2- site, O2- is bonded in a distorted single-bond geometry to one Pb2+ and one S6+ atom. In the fifth O2- site, O2- is bonded in a single-bond geometry to one Pb2+ and one S6+ atom. In the sixth O2- site, O2- is bonded in a single-bond geometry to one Pb2+ and one S6+ atom. In the seventh O2- site, O2- is bonded in a distorted single-bond geometry to one Ba2+ and one S6+ atom. In the eighth O2- site, O2- is bonded in a distorted single-bond geometry to one Ba2+ and one S6+ atom. In the ninth O2- site, O2- is bonded in a distorted single-bond geometry to one Ba2+ and one S6+ atom. In the tenth O2- site, O2- is bonded in a distorted single-bond geometry to one Ba2+ and one S6+ atom. In the eleventh O2- site, O2- is bonded in a single-bond geometry to one Pb2+ and one S6+ atom. In the twelfth O2- site, O2- is bonded in a single-bond geometry to one Pb2+ and one S6+ atom. In the thirteenth O2- site, O2- is bonded in a single-bond geometry to two equivalent Ba2+, one Pb2+, and one S6+ atom. In the fourteenth O2- site, O2- is bonded in a distorted single-bond geometry to two equivalent Ba2+, one Pb2+, and one S6+ atom. The O–S bond length is 1.50 Å. In the fifteenth O2- site, O2- is bonded in a distorted single-bond geometry to two equivalent Ba2+, one Pb2+, and one S6+ atom. In the sixteenth O2- site, O2- is bonded in a distorted single-bond geometry to two equivalent Ba2+, one Pb2+, and one S6+ atom. In the seventeenth O2- site, O2- is bonded in a distorted single-bond geometry to three Pb2+ and one S6+ atom. In the eighteenth O2- site, O2- is bonded in a distorted single-bond geometry to three Pb2+ and one S6+ atom. In the nineteenth O2- site, O2- is bonded in a distorted single-bond geometry to one Ba2+, two equivalent Pb2+, and one S6+ atom. In the twentieth O2- site, O2- is bonded in a distorted single-bond geometry to three Pb2+ and one S6+ atom. In the twenty-first O2- site, O2- is bonded in a distorted single-bond geometry to three Pb2+ and one S6+ atom. In the twenty-second O2- site, O2- is bonded in a distorted single-bond geometry to one Ba2+, two equivalent Pb2+, and one S6+ atom. In the twenty-third O2- site, O2- is bonded in a distorted single-bond geometry to one Ba2+, two equivalent Pb2+, and one S6+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted single-bond geometry to one Ba2+, two equivalent Pb2+, and one S6+ atom. In the twenty-fifth O2- site, O2- is bonded in a distorted single-bond geometry to one Ba2+, two Pb2+, and one S6+ atom. In the twenty-sixth O2- site, O2- is bonded in a distorted single-bond geometry to one Ba2+, two Pb2+, and one S6+ atom. The O–S bond length is 1.51 Å. In the twenty-seventh O2- site, O2- is bonded in a distorted single-bond geometry to two Ba2+, one Pb2+, and one S6+ atom. In the twenty-eighth O2- site, O2- is bonded in a distorted single-bond geometry to two Ba2+, one Pb2+, and one S6+ atom. In the twenty-ninth O2- site, O2- is bonded in a distorted single-bond geometry to one Ba2+, two Pb2+, and one S6+ atom. In the thirtieth O2- site, O2- is bonded in a distorted single-bond geometry to one Ba2+, two Pb2+, and one S6+ atom. In the thirty-first O2- site, O2- is bonded in a single-bond geometry to one Ba2+, two Pb2+, and one S6+ atom. In the thirty-second O2- site, O2- is bonded in a single-bond geometry to three Pb2+ and one S6+ atom. In the thirty-third O2- site, O2- is bonded in a single-bond geometry to three Pb2+ and one S6+ atom. In the thirty-fourth O2- site, O2- is bonded in a single-bond geometry to one Ba2+, two Pb2+, and one S6+ atom. In the thirty-fifth O2- site, O2- is bonded in a single-bond geometry to one Ba2+, two Pb2+, and one S6+ atom. In the thirty-sixth O2- site, O2- is bonded in a single-bond geometry to one Ba2+, two Pb2+, and one S6+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Mg2Al4Si5O18 by Materials Project

Mg2Al4Si5O18 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 six O2- atoms to form MgO6 octahedra that share corners with six SiO4 tetrahedra, an edgeedge with one SiO4 tetrahedra, and edges with two AlO4 tetrahedra. There are a spread of Mg–O bond distances ranging from 2.04–2.24 Å. In the second Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six SiO4 tetrahedra and edges with three AlO4 tetrahedra. There are a spread of Mg–O bond distances ranging from 2.09–2.18 Å. In the third Mg2+ site, Mg2+ is bonded to six O2- atoms to form distorted MgO6 octahedra that share corners with three AlO4 tetrahedra, corners with three SiO4 tetrahedra, an edgeedge with one SiO4 tetrahedra, and edges with two AlO4 tetrahedra. There are a spread of Mg–O bond distances ranging from 1.99–2.22 Å. In the fourth Mg2+ site, Mg2+ is bonded to six O2- atoms to form distorted MgO6 octahedra that share corners with three AlO4 tetrahedra, corners with three SiO4 tetrahedra, and edges with three AlO4 tetrahedra. There are a spread of Mg–O bond distances ranging from 2.00–2.28 Å. There are eight inequivalent Al3+ sites. In the first Al3+ site, Al3+ is bonded to four O2- atoms to form distorted AlO4 tetrahedra that share corners with two AlO4 tetrahedra, corners with two SiO4 tetrahedra, and edges with two MgO6 octahedra. There are a spread of Al–O bond distances ranging from 1.74–1.82 Å. In the second Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with four SiO4 tetrahedra and edges with two MgO6 octahedra. There are a spread of Al–O bond distances ranging from 1.76–1.78 Å. In the third Al3+ site, Al3+ is bonded to four O2- atoms to form distorted AlO4 tetrahedra that share corners with four SiO4 tetrahedra and edges with two MgO6 octahedra. There are a spread of Al–O bond distances ranging from 1.76–1.78 Å. In the fourth Al3+ site, Al3+ is bonded to four O2- atoms to form distorted AlO4 tetrahedra that share a cornercorner with one AlO4 tetrahedra, corners with three SiO4 tetrahedra, and edges with two MgO6 octahedra. There are a spread of Al–O bond distances ranging from 1.73–1.79 Å. In the fifth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share a cornercorner with one AlO4 tetrahedra, corners with three SiO4 tetrahedra, and edges with two MgO6 octahedra. There are a spread of Al–O bond distances ranging from 1.72–1.79 Å. In the sixth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with two MgO6 octahedra, a cornercorner with one AlO4 tetrahedra, and corners with three SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 41–50°. There are a spread of Al–O bond distances ranging from 1.72–1.80 Å. In the seventh Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with two MgO6 octahedra, corners with two AlO4 tetrahedra, and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 45–47°. There are a spread of Al–O bond distances ranging from 1.73–1.76 Å. In the eighth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with two MgO6 octahedra, a cornercorner with one AlO4 tetrahedra, and corners with three SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 42–50°. There are a spread of Al–O bond distances ranging from 1.72–1.79 Å. There are ten inequivalent Si4+ sites. In the first Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two MgO6 octahedra, a cornercorner with one AlO4 tetrahedra, and corners with three SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 41–48°. There are a spread of Si–O bond distances ranging from 1.63–1.69 Å. In the second Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two MgO6 octahedra, a cornercorner with one SiO4 tetrahedra, and corners with three AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 43–44°. There are a spread of Si–O bond distances ranging from 1.59–1.66 Å. In the third Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two MgO6 octahedra, corners with two AlO4 tetrahedra, and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 41–49°. There are a spread of Si–O bond distances ranging from 1.58–1.72 Å. In the fourth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two MgO6 octahedra, a cornercorner with one SiO4 tetrahedra, and corners with three AlO4 tetrahedra. The corner-sharing octahedral tilt angles are 43°. There are a spread of Si–O bond distances ranging from 1.58–1.66 Å. In the fifth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two MgO6 octahedra, a cornercorner with one SiO4 tetrahedra, and corners with three AlO4 tetrahedra. The corner-sharing octahedral tilt angles are 41°. There are a spread of Si–O bond distances ranging from 1.59–1.66 Å. In the sixth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two MgO6 octahedra, corners with two AlO4 tetrahedra, and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 43–44°. There is one shorter (1.62 Å) and three longer (1.65 Å) Si–O bond length. In the seventh Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two MgO6 octahedra and corners with four AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 43–44°. There are a spread of Si–O bond distances ranging from 1.59–1.67 Å. In the eighth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two MgO6 octahedra, corners with two AlO4 tetrahedra, and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 41–42°. There are a spread of Si–O bond distances ranging from 1.62–1.66 Å. In the ninth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two MgO6 octahedra, corners with two AlO4 tetrahedra, and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 43–44°. There are a spread of Si–O bond distances ranging from 1.63–1.65 Å. In the tenth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two AlO4 tetrahedra, corners with two SiO4 tetrahedra, and edges with two MgO6 octahedra. There is two shorter (1.62 Å) and two longer (1.69 Å) Si–O bond length. There are thirty-six inequivalent O2- sites. In the first O2- site, O2- is bonded in a linear geometry to one Al3+ and one Si4+ atom. In the second O2- site, O2- is bonded in a linear geometry to two Si4+ atoms. In the third O2- site, O2- is bonded in a 3-coordinate geometry to one Mg2+ and two Si4+ atoms. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Mg2+, one Al3+, and one Si4+ atom. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Mg2+ and two Si4+ atoms. In the sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Mg2+, one Al3+, and one Si4+ atom. In the seventh O2- site, O2- is bonded in a 3-coordinate geometry to one Mg2+, one Al3+, and one Si4+ atom. In the eighth O2- site, O2- is bonded in a 3-coordinate geometry to one Mg2+, one Al3+, and one Si4+ atom. In the ninth O2- site, O2- is bonded in a linear geometry to one Al3+ and one Si4+ atom. In the tenth O2- site, O2- is bonded in a linear geometry to two Si4+ atoms. In the eleventh O2- site, O2- is bonded in a distorted trigonal planar geometry to one Mg2+, one Al3+, and one Si4+ atom. In the twelfth O2- site, O2- is bonded in a 3-coordinate geometry to one Mg2+, one Al3+, and one Si4+ atom. In the thirteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Mg2+, one Al3+, and one Si4+ atom. In the fourteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Mg2+, one Al3+, and one Si4+ atom. In the fifteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Mg2+, one Al3+, and one Si4+ atom. In the sixteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Mg2+, one Al3+, and one Si4+ atom. In the seventeenth O2- site, O2- is bonded in a linear geometry to two Si4+ atoms. In the eighteenth O2- site, O2- is bonded in a linear geometry to one Al3+ and one Si4+ atom. In the nineteenth O2- site, O2- is bonded in a linear geometry to two Si4+ atoms. In the twentieth O2- site, O2- is bonded in a linear geometry to two Si4+ atoms. In the twenty-first O2- site, O2- is bonded in a 3-coordinate geometry to one Mg2+, one Al3+, and one Si4+ atom. In the twenty-second O2- site, O2- is bonded in a 3-coordinate geometry to one Mg2+, one Al3+, and one Si4+ atom. In the twenty-third O2- site, O2- is bonded in a 3-coordinate geometry to one Mg2+, one Al3+, and one Si4+ atom. In the twenty-fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Mg2+, one Al3+, and one Si4+ atom. In the twenty-fifth O2- site, O2- is bonded in a 3-coordinate geometry to one Mg2+, one Al3+, and one Si4+ atom. In the twenty-sixth O2- site, O2- is bonded in a 3-coordinate geometry to one Mg2+, one Al3+, and one Si4+ atom. In the twenty-seventh O2- site, O2- is bonded in a linear geometry to one Al3+ and one Si4+ atom. In the twenty-eighth O2- site, O2- is bonded in a linear geometry to two Si4+ atoms. In the twenty-ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Mg2+ and two Al3+ atoms. In the thirtieth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Mg2+ and two Al3+ atoms. In the thirty-first O2- site, O2- is bonded in a 3-coordinate geometry to one Mg2+, one Al3+, and one Si4+ atom. In the thirty-second O2- site, O2- is bonded in a 3-coordinate geometry to one Mg2+ and two Al3+ atoms. In the thirty-third O2- site, O2- is bonded in a 3-coordinate geometry to one Mg2+, one Al3+, and one Si4+ atom. In the thirty-fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Mg2+ and two Al3+ atoms. In the thirty-fifth O2- site, O2- is bonded in a linear geometry to one Al3+ and one Si4+ atom. In the thirty-sixth O2- site, O2- is bonded in a linear geometry to one Al3+ and one Si4+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Na7Ca3Ta7Ti3O30 by Materials Project

Na7Ca3Ti3Ta7O30 is Orthorhombic Perovskite-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are fourteen inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Na–O bond distances ranging from 2.37–2.80 Å. In the second Na1+ site, Na1+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Na–O bond distances ranging from 2.39–3.00 Å. In the third Na1+ site, Na1+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Na–O bond distances ranging from 2.39–2.99 Å. In the fourth Na1+ site, Na1+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Na–O bond distances ranging from 2.40–2.99 Å. In the fifth Na1+ site, Na1+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Na–O bond distances ranging from 2.42–3.01 Å. In the sixth Na1+ site, Na1+ is bonded in a 3-coordinate geometry to nine O2- atoms. There are a spread of Na–O bond distances ranging from 2.37–3.00 Å. In the seventh Na1+ site, Na1+ is bonded in a 3-coordinate geometry to nine O2- atoms. There are a spread of Na–O bond distances ranging from 2.38–3.00 Å. In the eighth Na1+ site, Na1+ is bonded in a 3-coordinate geometry to nine O2- atoms. There are a spread of Na–O bond distances ranging from 2.38–2.99 Å. In the ninth Na1+ site, Na1+ is bonded in a 3-coordinate geometry to nine O2- atoms. There are a spread of Na–O bond distances ranging from 2.39–3.03 Å. In the tenth Na1+ site, Na1+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Na–O bond distances ranging from 2.42–2.86 Å. In the eleventh Na1+ site, Na1+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Na–O bond distances ranging from 2.39–2.81 Å. In the twelfth Na1+ site, Na1+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Na–O bond distances ranging from 2.42–2.86 Å. In the thirteenth Na1+ site, Na1+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Na–O bond distances ranging from 2.42–2.86 Å. In the fourteenth Na1+ site, Na1+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Na–O bond distances ranging from 2.41–2.86 Å. There are six inequivalent Ca2+ sites. In the first Ca2+ site, Ca2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Ca–O bond distances ranging from 2.37–2.82 Å. In the second Ca2+ site, Ca2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Ca–O bond distances ranging from 2.39–2.77 Å. In the third Ca2+ site, Ca2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Ca–O bond distances ranging from 2.38–2.80 Å. In the fourth Ca2+ site, Ca2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Ca–O bond distances ranging from 2.38–2.78 Å. In the fifth Ca2+ site, Ca2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Ca–O bond distances ranging from 2.38–2.77 Å. In the sixth Ca2+ site, Ca2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Ca–O bond distances ranging from 2.38–2.77 Å. There are six inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one TiO6 octahedra and corners with five TaO6 octahedra. The corner-sharing octahedra tilt angles range from 20–25°. There are a spread of Ti–O bond distances ranging from 1.89–2.08 Å. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two TiO6 octahedra and corners with four equivalent TaO6 octahedra. The corner-sharing octahedra tilt angles range from 17–30°. There are a spread of Ti–O bond distances ranging from 1.88–2.12 Å. In the third Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one TiO6 octahedra and corners with five TaO6 octahedra. The corner-sharing octahedra tilt angles range from 18–29°. There are a spread of Ti–O bond distances ranging from 1.86–2.12 Å. In the fourth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six TaO6 octahedra. The corner-sharing octahedra tilt angles range from 21–24°. There are a spread of Ti–O bond distances ranging from 1.90–2.08 Å. In the fifth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six TaO6 octahedra. The corner-sharing octahedra tilt angles range from 21–24°. There are a spread of Ti–O bond distances ranging from 1.90–2.08 Å. In the sixth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six TaO6 octahedra. The corner-sharing octahedra tilt angles range from 21–24°. There are a spread of Ti–O bond distances ranging from 1.89–2.08 Å. There are fourteen inequivalent Ta5+ sites. In the first Ta5+ site, Ta5+ is bonded to six O2- atoms to form TaO6 octahedra that share corners with two TiO6 octahedra and corners with four equivalent TaO6 octahedra. The corner-sharing octahedra tilt angles range from 22–27°. There are a spread of Ta–O bond distances ranging from 1.97–2.05 Å. In the second Ta5+ site, Ta5+ is bonded to six O2- atoms to form TaO6 octahedra that share corners with two TiO6 octahedra and corners with four equivalent TaO6 octahedra. The corner-sharing octahedra tilt angles range from 22–27°. There are a spread of Ta–O bond distances ranging from 1.97–2.04 Å. In the third Ta5+ site, Ta5+ is bonded to six O2- atoms to form TaO6 octahedra that share corners with two TiO6 octahedra and corners with four equivalent TaO6 octahedra. The corner-sharing octahedra tilt angles range from 21–27°. There are a spread of Ta–O bond distances ranging from 1.96–2.04 Å. In the fourth Ta5+ site, Ta5+ is bonded to six O2- atoms to form TaO6 octahedra that share corners with two TiO6 octahedra and corners with four equivalent TaO6 octahedra. The corner-sharing octahedra tilt angles range from 22–26°. There are a spread of Ta–O bond distances ranging from 1.97–2.04 Å. In the fifth Ta5+ site, Ta5+ is bonded to six O2- atoms to form TaO6 octahedra that share corners with two TaO6 octahedra and corners with four equivalent TiO6 octahedra. The corner-sharing octahedra tilt angles range from 17–30°. There are a spread of Ta–O bond distances ranging from 1.96–2.04 Å. In the sixth Ta5+ site, Ta5+ is bonded to six O2- atoms to form corner-sharing TaO6 octahedra. The corner-sharing octahedra tilt angles range from 22–27°. There are a spread of Ta–O bond distances ranging from 1.96–2.04 Å. In the seventh Ta5+ site, Ta5+ is bonded to six O2- atoms to form TaO6 octahedra that share corners with two TaO6 octahedra and corners with four equivalent TiO6 octahedra. The corner-sharing octahedra tilt angles range from 20–27°. There are a spread of Ta–O bond distances ranging from 1.95–2.04 Å. In the eighth Ta5+ site, Ta5+ is bonded to six O2- atoms to form corner-sharing TaO6 octahedra. The corner-sharing octahedra tilt angles range from 22–27°. There are a spread of Ta–O bond distances ranging from 1.96–2.03 Å. In the ninth Ta5+ site, Ta5+ is bonded to six O2- atoms to form corner-sharing TaO6 octahedra. The corner-sharing octahedra tilt angles range from 22–26°. There are a spread of Ta–O bond distances ranging from 1.97–2.03 Å. In the tenth Ta5+ site, Ta5+ is bonded to six O2- atoms to form corner-sharing TaO6 octahedra. The corner-sharing octahedra tilt angles range from 21–27°. There are a spread of Ta–O bond distances ranging from 1.96–2.03 Å. In the eleventh Ta5+ site, Ta5+ is bonded to six O2- atoms to form TaO6 octahedra that share corners with two TaO6 octahedra and corners with four equivalent TiO6 octahedra. The corner-sharing octahedra tilt angles range from 18–29°. There are a spread of Ta–O bond distances ranging from 1.96–2.03 Å. In the twelfth Ta5+ site, Ta5+ is bonded to six O2- atoms to form TaO6 octahedra that share corners with two TaO6 octahedra and corners with four equivalent TiO6 octahedra. The corner-sharing octahedra tilt angles range from 21–26°. There are a spread of Ta–O bond distances ranging from 1.94–2.06 Å. In the thirteenth Ta5+ site, Ta5+ is bonded to six O2- atoms to form TaO6 octahedra that share corners with two TaO6 octahedra and corners with four equivalent TiO6 octahedra. The corner-sharing octahedra tilt angles range from 21–26°. There are a spread of Ta–O bond distances ranging from 1.94–2.06 Å. In the fourteenth Ta5+ site, Ta5+ is bonded to six O2- atoms to form TaO6 octahedra that share corners with two TaO6 octahedra and corners with four equivalent TiO6 octahedra. The corner-sharing octahedra tilt angles range from 21–26°. There are a spread of Ta–O bond distances ranging from 1.94–2.06 Å. There are sixty inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to one Na1+, one Ca2+, and two Ti4+ atoms. In the second O2- site, O2- is bonded in a 4-coordinate geometry to one Na1+, one Ca2+, one Ti4+, and one Ta5+ atom. In the third O2- site, O2- is bonded in a 4-coordinate geometry to one Na1+, one Ca2+, one Ti4+, and one Ta5+ atom. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to one Na1+, one Ca2+, one Ti4+, and one Ta5+ atom. In the fifth O2- site, O2- is bonded in a 4-coordinate geometry to one Na1+, one Ca2+, one Ti4+, and one Ta5+ atom. In the sixth O2- site, O2- is bonded in a 5-coordinate geometry to one Na1+, two Ca2+, one Ti4+, and one Ta5+ atom. In the seventh O2- site, O2- is bonded in a 5-coordinate geometry to two Na1+, one Ca2+, one Ti4+, and one Ta5+ atom. In the eighth O2- site, O2- is bonded in a 5-coordinate geometry to two Na1+, one Ca2+, one Ti4+, and one Ta5+ atom. In the ninth O2- site, O2- is bonded in a 5-coordinate geometry to one Na1+, two Ca2+, one Ti4+, and one Ta5+ atom. In the tenth O2- site, O2- is bonded in a 5-coordinate geometry to two Na1+, one Ca2+, and two Ta5+ atoms. In the eleventh O2- site, O2- is bonded in a 5-coordinate geometry to two Na1+, one Ca2+, one Ti4+, and one Ta5+ atom. In the twelfth O2- site, O2- is bonded in a 5-coordinate geometry to two Na1+, one Ca2+, one Ti4+, and one Ta5+ atom. In the thirteenth O2- site, O2- is bonded in a 5-coordinate geometry to two Na1+, one Ca2+, and two Ta5+ atoms. In the fourteenth O2- site, O2- is bonded in a 5-coordinate geometry to two Na1+, one Ca2+, and two Ta5+ atoms. In the fifteenth O2- site, O2- is bonded in a 5-coordinate geometry to two Na1+, one Ca2+, and two Ta5+ atoms. In the sixteenth O2- site, O2- is bonded in a 5-coordinate geometry to two Na1+, one Ca2+, one Ti4+, and one Ta5+ atom. In the seventeenth O2- site, O2- is bonded in a 5-coordinate geometry to two Na1+, one Ca2+, one Ti4+, and one Ta5+ atom. In the eighteenth O2- site, O2- is bonded in a 5-coordinate geometry to three Na1+ and two Ta5+ atoms. In the nineteenth O2- site, O2- is bonded in a 5-coordinate geometry to three Na1+, one Ti4+, and one Ta5+ atom. In the twentieth O2- site, O2- is bonded in a 5-coordinate geometry to three Na1+ and two Ta5+ atoms. In the twenty-first O2- site, O2- is bonded in a 5-coordinate geometry to three Na1+, one Ti4+, and one Ta5+ atom. In the twenty-second O2- site, O2- is bonded in a 5-coordinate geometry to three Na1+ and two Ta5+ atoms. In the twenty-third O2- site, O2- is bonded in a 5-coordinate geometry to three Na1+, one Ti4+, and one Ta5+ atom. In the twenty-fourth O2- site, O2- is bonded in a 5-coordinate geometry to three Na1+ and two Ta5+ atoms. In the twenty-fifth O2- site, O2- is bonded in a 5-coordinate geometry to three Na1+, one Ti4+, and one Ta5+ atom. In the twenty-sixth O2- site, O2- is bonded in a 4-coordinate geometry to one Na1+, one Ca2+, and two Ta5+ atoms. In the twenty-seventh O2- site, O2- is bonded in a 4-c

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 1.91–2.25 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with four PO4 tetrahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.91–2.25 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 1.91–2.22 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with four PO4 tetrahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.97–2.20 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with four PO4 tetrahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.93–2.22 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with four PO4 tetrahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.91–2.23 Å. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with four PO4 tetrahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.97–2.21 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 1.98–2.22 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 1.84–1.97 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 and edges with two LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.88–2.01 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 and an edgeedge with one LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.84–1.97 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 and edges with two LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.84–2.01 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. There are a spread of V–O bond distances ranging from 1.86–1.91 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 and an edgeedge with one LiO4 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 octahedra tilt angles range from 38–40°. There are a spread of P–O bond distances ranging from 1.48–1.61 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 39–40°. There are a spread of P–O bond distances ranging from 1.47–1.60 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 38–40°. There are a spread of P–O bond distances ranging from 1.50–1.62 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 28–36°. There are a spread of P–O bond distances ranging from 1.48–1.59 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra and corners with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 33–36°. There are a spread of P–O bond distances ranging from 1.49–1.59 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 39–43°. There are a spread of P–O bond distances ranging from 1.48–1.61 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 40–46°. There are a spread of P–O bond distances ranging from 1.48–1.63 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 38–46°. There are a spread of P–O bond distances ranging from 1.51–1.61 Å. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 39–43°. There are a spread of P–O bond distances ranging from 1.46–1.64 Å. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 38–44°. There are a spread of P–O bond distances ranging from 1.48–1.62 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 PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 39–42°. There are a spread of P–O bond distances ranging from 1.50–1.61 Å. In the twelfth 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 28–35°. There are a spread of P–O bond distances ranging from 1.48–1.60 Å. In the thirteenth 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 29–36°. 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, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 39–44°. There are a spread of P–O bond distances ranging from 1.48–1.61 Å. In the fifteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 38–46°. There are a spread of P–O bond distances ranging from 1.50–1.62 Å. In the sixteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 39–46°. 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 120 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 single-bond geometry to 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 bent 150 degrees geometry to 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 trigonal planar 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 3-coordinate geometry to one Li1+, 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 3-coordinate geometry to one Li1+, 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 bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two P5+ atoms. In the twentieth O2- site, O2- is bonded in a bent 120 degrees geometry to one Li1+ and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a bent 120 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 3-coordinate geometry to one Li1+, one V+4.67+, and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, 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 distorted trigonal planar geometry to one Li1+, 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 bent 120 degrees geometry to one Li1+ and one P5+ atom. In the twenty-ninth O2- site, O2- is bonded in a trigonal planar geometry to two Li1+ and one P5+ atom. In the thirtieth 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-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 distorted trigon

36 MATERIALS SCIENCE↗

Materials Data on Li4V2Si(PO6)2 by Materials Project

Li4V2Si(PO6)2 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are sixteen inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.07–2.74 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share a cornercorner with one SiO4 tetrahedra, corners with five PO4 tetrahedra, and faces with two VO6 octahedra. There are a spread of Li–O bond distances ranging from 2.09–2.35 Å. In the third Li1+ site, Li1+ is bonded in a 5-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.05–2.81 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share a cornercorner with one SiO4 tetrahedra, corners with five PO4 tetrahedra, and faces with two VO6 octahedra. There are a spread of Li–O bond distances ranging from 2.09–2.36 Å. In the fifth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.06–2.76 Å. In the sixth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.09–2.71 Å. In the seventh Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.06–2.79 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 2.09–2.72 Å. In the ninth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.05–2.78 Å. In the tenth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.06–2.74 Å. In the eleventh Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.07–2.75 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 2.04–2.78 Å. In the thirteenth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with three SiO4 tetrahedra, corners with three PO4 tetrahedra, and faces with two VO6 octahedra. There are a spread of Li–O bond distances ranging from 2.10–2.33 Å. In the fourteenth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.06–2.75 Å. In the fifteenth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with three SiO4 tetrahedra, corners with three PO4 tetrahedra, and faces with two VO6 octahedra. There are a spread of Li–O bond distances ranging from 2.10–2.33 Å. In the sixteenth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.07–2.75 Å. There are eight inequivalent V3+ sites. In the first V3+ site, V3+ is bonded to six O2- atoms to form VO6 octahedra that share a cornercorner with one SiO4 tetrahedra, corners with five PO4 tetrahedra, and a faceface with one LiO6 octahedra. There are a spread of V–O bond distances ranging from 1.92–2.09 Å. In the second V3+ site, V3+ is bonded to six O2- atoms to form VO6 octahedra that share corners with three SiO4 tetrahedra, corners with three PO4 tetrahedra, and a faceface with one LiO6 octahedra. There are a spread of V–O bond distances ranging from 1.94–2.10 Å. In the third V3+ site, V3+ is bonded to six O2- atoms to form VO6 octahedra that share a cornercorner with one SiO4 tetrahedra, corners with five PO4 tetrahedra, and a faceface with one LiO6 octahedra. There are a spread of V–O bond distances ranging from 1.92–2.09 Å. In the fourth V3+ site, V3+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two SiO4 tetrahedra, corners with four PO4 tetrahedra, and a faceface with one LiO6 octahedra. There are a spread of V–O bond distances ranging from 1.94–2.09 Å. In the fifth V3+ site, V3+ is bonded to six O2- atoms to form VO6 octahedra that share corners with three SiO4 tetrahedra, corners with three PO4 tetrahedra, and a faceface with one LiO6 octahedra. There are a spread of V–O bond distances ranging from 1.94–2.11 Å. In the sixth V3+ site, V3+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two SiO4 tetrahedra, corners with four PO4 tetrahedra, and a faceface with one LiO6 octahedra. There are a spread of V–O bond distances ranging from 1.94–2.08 Å. In the seventh V3+ site, V3+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two SiO4 tetrahedra, corners with four PO4 tetrahedra, and a faceface with one LiO6 octahedra. There are a spread of V–O bond distances ranging from 1.94–2.10 Å. In the eighth V3+ site, V3+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two SiO4 tetrahedra, corners with four PO4 tetrahedra, and a faceface with one LiO6 octahedra. There are a spread of V–O bond distances ranging from 1.94–2.10 Å. There are four inequivalent Si4+ sites. In the first Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two LiO6 octahedra and corners with four VO6 octahedra. The corner-sharing octahedra tilt angles range from 31–45°. There are a spread of Si–O bond distances ranging from 1.63–1.66 Å. In the second Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two LiO6 octahedra and corners with four VO6 octahedra. The corner-sharing octahedra tilt angles range from 30–44°. There are a spread of Si–O bond distances ranging from 1.63–1.66 Å. In the third Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two LiO6 octahedra and corners with four VO6 octahedra. The corner-sharing octahedra tilt angles range from 30–44°. There are a spread of Si–O bond distances ranging from 1.63–1.66 Å. In the fourth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two LiO6 octahedra and corners with four VO6 octahedra. The corner-sharing octahedra tilt angles range from 31–45°. There are a spread of Si–O bond distances ranging from 1.63–1.66 Å. There are eight inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two LiO6 octahedra and corners with four VO6 octahedra. The corner-sharing octahedra tilt angles range from 30–45°. There are a spread of P–O bond distances ranging from 1.53–1.58 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two LiO6 octahedra and corners with four VO6 octahedra. The corner-sharing octahedra tilt angles range from 30–47°. There are a spread of P–O bond distances ranging from 1.53–1.56 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two LiO6 octahedra and corners with four VO6 octahedra. The corner-sharing octahedra tilt angles range from 30–45°. There are a spread of P–O bond distances ranging from 1.53–1.58 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two LiO6 octahedra and corners with four VO6 octahedra. The corner-sharing octahedra tilt angles range from 30–46°. There are a spread of P–O bond distances ranging from 1.53–1.57 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two LiO6 octahedra and corners with four VO6 octahedra. The corner-sharing octahedra tilt angles range from 30–47°. There is two shorter (1.53 Å) and two longer (1.57 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 two LiO6 octahedra and corners with four VO6 octahedra. The corner-sharing octahedra tilt angles range from 30–46°. 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 corners with two LiO6 octahedra and corners with four VO6 octahedra. The corner-sharing octahedra tilt angles range from 29–43°. There are a spread of P–O bond distances ranging from 1.53–1.57 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two LiO6 octahedra and corners with four VO6 octahedra. The corner-sharing octahedra tilt angles range from 29–43°. There are a spread of P–O bond distances ranging from 1.53–1.57 Å. There are forty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to three Li1+, one V3+, and one P5+ atom. In the second O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V3+, and one P5+ atom. In the third O2- site, O2- is bonded in a 4-coordinate geometry to three Li1+, one V3+, and one P5+ atom. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to three Li1+, one V3+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V3+, and one P5+ atom. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V3+, and one Si4+ atom. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to three Li1+, one V3+, and one P5+ atom. In the eighth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V3+, and one P5+ atom. In the ninth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V3+, and one Si4+ atom. In the tenth O2- site, O2- is bonded in a 5-coordinate geometry to three Li1+, one V3+, and one Si4+ atom. In the eleventh O2- site, O2- is bonded in a 4-coordinate geometry to three Li1+, one V3+, and one P5+ atom. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to three Li1+, one V3+, and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a 5-coordinate geometry to three Li1+, one V3+, and one Si4+ atom. In the fourteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V3+, and one Si4+ atom. In the fifteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V3+, and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a 4-coordinate geometry to three Li1+, one V3+, and one P5+ atom. In the seventeenth O2- site, O2- is bonded to three Li1+, one V3+, and one Si4+ atom to form distorted corner-sharing OLi3VSi trigonal bipyramids. In the eighteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V3+, and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V3+, and one Si4+ atom. In the twentieth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V3+, and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a 5-coordinate geometry to three Li1+, one V3+, and one Si4+ atom. In the twenty-second O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V3+, and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V3+, and one Si4+ atom. In the twenty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to three Li1+, one V3+, and one P5+ atom. In the twenty-fifth O2- site, O2- is bonded in a 4-coordinate geometry to three Li1+, one V3+, and one P5+ atom. In the twenty-sixth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V3+, and one P5+ atom. In the twenty-seventh O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, one V3+, and one P5+ atom. In the twenty-eighth O2- site, O2- is bonded in a 4-coordinate geometry to three Li1+, one V3+, and one P5+ atom. In the twenty-ninth O2- site, O2- is bonded in a 3-coordinate geometry

36 MATERIALS SCIENCE↗

Materials Data on LiVP3(H7O8)2 by Materials Project

LiVP3(H4O5)3H2O crystallizes in the triclinic P1 space group. The structure is three-dimensional and consists of two water molecules and one LiVP3(H4O5)3 framework. In the LiVP3(H4O5)3 framework, there are two inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with two equivalent VO6 octahedra, and corners with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 45–62°. There are a spread of Li–O bond distances ranging from 2.21–2.61 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with two equivalent LiO6 octahedra, a cornercorner with one PO4 tetrahedra, and an edgeedge with one VO6 octahedra. The corner-sharing octahedra tilt angles range from 45–56°. There are a spread of Li–O bond distances ranging from 2.07–2.51 Å. There are two inequivalent V2+ sites. In the first V2+ site, V2+ is bonded to six O2- atoms to form VO6 octahedra that share corners with four PO4 tetrahedra. There are a spread of V–O bond distances ranging from 2.14–2.23 Å. In the second V2+ site, V2+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two equivalent LiO6 octahedra, a cornercorner with one PO4 tetrahedra, and an edgeedge with one LiO6 octahedra. The corner-sharing octahedra tilt angles range from 54–62°. There are a spread of V–O bond distances ranging from 2.15–2.26 Å. There are six inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one VO6 octahedra and corners with two PO4 tetrahedra. The corner-sharing octahedral tilt angles are 51°. There are a spread of P–O bond distances ranging from 1.50–1.64 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one VO6 octahedra, and corners with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 54–66°. There are a spread of P–O bond distances ranging from 1.51–1.62 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one VO6 octahedra and corners with two PO4 tetrahedra. The corner-sharing octahedral tilt angles are 48°. There are a spread of P–O bond distances ranging from 1.50–1.62 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one VO6 octahedra and corners with two PO4 tetrahedra. The corner-sharing octahedral tilt angles are 47°. There are a spread of P–O bond distances ranging from 1.50–1.61 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two LiO6 octahedra and corners with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 63–65°. There are a spread of P–O bond distances ranging from 1.50–1.63 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one VO6 octahedra and corners with two PO4 tetrahedra. The corner-sharing octahedral tilt angles are 52°. There are a spread of P–O bond distances ranging from 1.50–1.63 Å. There are twenty-four inequivalent H1+ sites. In the first H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.99 Å. In the second H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.99 Å. In the third H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.98 Å. In the fourth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 1.00 Å. In the fifth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.99 Å. In the sixth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 1.00 Å. In the seventh H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.98 Å. In the eighth H1+ site, H1+ is bonded in a distorted linear geometry to two O2- atoms. There is one shorter (1.01 Å) and one longer (1.62 Å) H–O bond length. In the ninth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.99 Å. In the tenth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.98 Å. In the eleventh H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 1.00 Å. In the twelfth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.99 Å. In the thirteenth H1+ site, H1+ is bonded in a single-bond geometry to two O2- atoms. There is one shorter (0.99 Å) and one longer (1.73 Å) H–O bond length. In the fourteenth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.99 Å. In the fifteenth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.98 Å. In the sixteenth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.99 Å. In the seventeenth H1+ site, H1+ is bonded in a distorted single-bond geometry to one O2- atom. The H–O bond length is 1.00 Å. In the eighteenth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.98 Å. In the nineteenth H1+ site, H1+ is bonded in a single-bond geometry to two O2- atoms. There is one shorter (1.00 Å) and one longer (1.69 Å) H–O bond length. In the twentieth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 1.00 Å. In the twenty-first H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.99 Å. In the twenty-second H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.98 Å. In the twenty-third H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.99 Å. In the twenty-fourth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.99 Å. There are thirty inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one V2+ and one P5+ atom. In the second O2- site, O2- is bonded in a single-bond geometry to one P5+ atom. In the third O2- site, O2- is bonded in a distorted single-bond geometry to one P5+ atom. In the fourth O2- site, O2- is bonded in a bent 120 degrees geometry to two P5+ atoms. In the fifth O2- site, O2- is bonded in a distorted water-like geometry to one Li1+ and three H1+ atoms. In the sixth O2- site, O2- is bonded in a 2-coordinate geometry to one V2+ and one P5+ atom. In the seventh O2- site, O2- is bonded in a bent 120 degrees geometry to two P5+ atoms. In the eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V2+, and one P5+ atom. In the ninth O2- site, O2- is bonded in a distorted water-like geometry to two Li1+ and two H1+ atoms. In the tenth O2- site, O2- is bonded in a distorted water-like geometry to one V2+ and two H1+ atoms. In the eleventh O2- site, O2- is bonded in a bent 120 degrees geometry to two P5+ atoms. In the twelfth O2- site, O2- is bonded in a distorted water-like geometry to one V2+ and two H1+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+ and two H1+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted water-like geometry to one Li1+, one V2+, and two H1+ atoms. In the fifteenth O2- site, O2- is bonded in a distorted single-bond geometry to one P5+ and two H1+ atoms. In the sixteenth O2- site, O2- is bonded in a distorted single-bond geometry to one P5+ atom. In the seventeenth O2- site, O2- is bonded in a distorted water-like geometry to one Li1+, one V2+, and two H1+ atoms. In the eighteenth O2- site, O2- is bonded in a distorted water-like geometry to one V2+ and two H1+ atoms. In the nineteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+ and two H1+ atoms. In the twentieth O2- site, O2- is bonded in a bent 120 degrees geometry to two P5+ atoms. In the twenty-first O2- site, O2- is bonded in a distorted water-like geometry to one V2+ and two H1+ atoms. In the twenty-second O2- site, O2- is bonded in a distorted water-like geometry to one Li1+, one V2+, and two H1+ atoms. In the twenty-third O2- site, O2- is bonded in a distorted trigonal planar geometry to two Li1+ and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a bent 120 degrees geometry to two P5+ atoms. In the twenty-fifth O2- site, O2- is bonded in a 2-coordinate geometry to one V2+ and one P5+ atom. In the twenty-sixth O2- site, O2- is bonded in a distorted water-like geometry to one Li1+ and two H1+ atoms. 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 single-bond geometry to one P5+ atom. In the twenty-ninth O2- site, O2- is bonded in a single-bond geometry to one P5+ atom. In the thirtieth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one V2+ and one P5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on LiFeP3(H7O8)2 by Materials Project

LiFeP3(H4O5)3H2O crystallizes in the triclinic P1 space group. The structure is three-dimensional and consists of two water molecules and one LiFeP3(H4O5)3 framework. In the LiFeP3(H4O5)3 framework, there are two inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with two equivalent FeO6 octahedra, and corners with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 45–62°. There are a spread of Li–O bond distances ranging from 2.19–2.59 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with two equivalent LiO6 octahedra, a cornercorner with one PO4 tetrahedra, and an edgeedge with one FeO6 octahedra. The corner-sharing octahedra tilt angles range from 45–56°. There are a spread of Li–O bond distances ranging from 2.05–2.51 Å. There are two inequivalent Fe2+ sites. In the first Fe2+ site, Fe2+ 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 2.09–2.25 Å. In the second Fe2+ site, Fe2+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two equivalent LiO6 octahedra, a cornercorner with one PO4 tetrahedra, and an edgeedge with one LiO6 octahedra. The corner-sharing octahedra tilt angles range from 54–62°. There are a spread of Fe–O bond distances ranging from 2.10–2.26 Å. There are six inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one FeO6 octahedra and corners with two PO4 tetrahedra. The corner-sharing octahedral tilt angles are 54°. There are a spread of P–O bond distances ranging from 1.50–1.63 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two LiO6 octahedra and corners with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 63–65°. There are a spread of P–O bond distances ranging from 1.49–1.63 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one FeO6 octahedra and corners with two PO4 tetrahedra. The corner-sharing octahedral tilt angles are 46°. There are a spread of P–O bond distances ranging from 1.49–1.61 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one FeO6 octahedra and corners with two PO4 tetrahedra. The corner-sharing octahedral tilt angles are 46°. There are a spread of P–O bond distances ranging from 1.50–1.61 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one FeO6 octahedra, and corners with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 55–65°. There are a spread of P–O bond distances ranging from 1.50–1.62 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one FeO6 octahedra and corners with two PO4 tetrahedra. The corner-sharing octahedral tilt angles are 52°. There are a spread of P–O bond distances ranging from 1.50–1.64 Å. There are twenty-four inequivalent H1+ sites. In the first H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.99 Å. In the second H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.99 Å. In the third H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.98 Å. In the fourth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.99 Å. In the fifth H1+ site, H1+ is bonded in a distorted single-bond geometry to one O2- atom. The H–O bond length is 1.00 Å. In the sixth H1+ site, H1+ is bonded in a single-bond geometry to two O2- atoms. There is one shorter (1.00 Å) and one longer (1.69 Å) H–O bond length. In the seventh H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.98 Å. In the eighth H1+ site, H1+ is bonded in a distorted single-bond geometry to one O2- atom. The H–O bond length is 1.01 Å. In the ninth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.98 Å. In the tenth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.99 Å. In the eleventh H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.99 Å. In the twelfth H1+ site, H1+ is bonded in a single-bond geometry to two O2- atoms. There is one shorter (0.99 Å) and one longer (1.72 Å) H–O bond length. In the thirteenth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.99 Å. In the fourteenth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 1.00 Å. In the fifteenth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.98 Å. In the sixteenth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.99 Å. In the seventeenth H1+ site, H1+ is bonded in a distorted single-bond geometry to one O2- atom. The H–O bond length is 1.01 Å. In the eighteenth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.98 Å. In the nineteenth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 1.00 Å. In the twentieth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.99 Å. In the twenty-first H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 1.00 Å. In the twenty-second H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.98 Å. In the twenty-third H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.99 Å. In the twenty-fourth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.99 Å. There are thirty inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Fe2+ and one P5+ atom. In the second O2- site, O2- is bonded in a single-bond geometry to one P5+ atom. In the third O2- site, O2- is bonded in a single-bond geometry to one P5+ atom. In the fourth O2- site, O2- is bonded in a bent 120 degrees geometry to two P5+ atoms. In the fifth O2- site, O2- is bonded in a distorted water-like geometry to one Li1+ and two H1+ atoms. In the sixth O2- site, O2- is bonded in a 2-coordinate geometry to one Fe2+ and one P5+ atom. In the seventh O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two P5+ atoms. In the eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Li1+ and one P5+ atom. In the ninth O2- site, O2- is bonded in a distorted water-like geometry to one Li1+, one Fe2+, and two H1+ atoms. In the tenth O2- site, O2- is bonded in a distorted water-like geometry to one Fe2+ and two H1+ atoms. In the eleventh O2- site, O2- is bonded in a bent 120 degrees geometry to two P5+ atoms. In the twelfth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+ and two H1+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted water-like geometry to one Fe2+ and two H1+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted water-like geometry to one Li1+, one Fe2+, and two H1+ atoms. In the fifteenth O2- site, O2- is bonded in a distorted single-bond geometry to one P5+ atom. In the sixteenth O2- site, O2- is bonded in a distorted single-bond geometry to one P5+ and two H1+ atoms. In the seventeenth O2- site, O2- is bonded in a distorted water-like geometry to one Li1+, one Fe2+, and two H1+ atoms. In the eighteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+ and two H1+ atoms. In the nineteenth O2- site, O2- is bonded in a distorted water-like geometry to one Fe2+ and two H1+ atoms. In the twentieth O2- site, O2- is bonded in a bent 120 degrees geometry to two P5+ atoms. In the twenty-first O2- site, O2- is bonded in a distorted water-like geometry to one Fe2+ and two H1+ atoms. In the twenty-second O2- site, O2- is bonded in a distorted water-like geometry to two Li1+ and two H1+ atoms. In the twenty-third O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Fe2+, and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a bent 120 degrees geometry to two P5+ atoms. In the twenty-fifth O2- site, O2- is bonded in a 2-coordinate geometry to one Fe2+ and one P5+ atom. In the twenty-sixth O2- site, O2- is bonded in a distorted water-like geometry to one Li1+ and two H1+ atoms. 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 distorted single-bond geometry to one P5+ atom. In the twenty-ninth O2- site, O2- is bonded in a single-bond geometry to one P5+ atom. In the thirtieth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Fe2+ and one P5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li6V3P8O29 by Materials Project

Li6V3P8O29 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 distorted see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 2.00–2.14 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 2.01–2.13 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 1.93–2.26 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four PO4 tetrahedra, an edgeedge with one LiO6 octahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.98–2.16 Å. In the fifth 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 2.00–2.14 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 2.00–2.17 Å. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four PO4 tetrahedra, an edgeedge with one LiO6 octahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.98–2.15 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 1.93–2.28 Å. In the ninth 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 2.02–2.14 Å. In the tenth 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 2.00–2.14 Å. In the eleventh Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with six PO4 tetrahedra and edges with two LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 2.27–2.45 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 2.32–2.38 Å. There are six inequivalent V4+ sites. In the first V4+ site, V4+ 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 1.89–2.04 Å. In the second V4+ site, V4+ 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 1.88–2.06 Å. In the third V4+ site, V4+ 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 1.87–2.00 Å. In the fourth V4+ site, V4+ 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 1.88–2.00 Å. In the fifth V4+ site, V4+ 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 1.85–2.07 Å. In the sixth V4+ site, V4+ 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 1.85–2.06 Å. There are sixteen inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, 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 40–48°. There are a spread of P–O bond distances ranging from 1.50–1.63 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 40–47°. There are a spread of P–O bond distances ranging from 1.53–1.61 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 40–45°. There are a spread of P–O bond distances ranging from 1.53–1.61 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 32–37°. There are a spread of P–O bond distances ranging from 1.49–1.59 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 octahedral tilt angles are 37°. There are a spread of P–O bond distances ranging from 1.50–1.59 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, 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 40–54°. There are a spread of P–O bond distances ranging from 1.51–1.63 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 42–46°. There are a spread of P–O bond distances ranging from 1.52–1.60 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, 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 37–52°. There are a spread of P–O bond distances ranging from 1.49–1.61 Å. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, 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 37–51°. There are a spread of P–O bond distances ranging from 1.50–1.62 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 41–46°. 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 a cornercorner with one LiO6 octahedra, 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 39–55°. There are a spread of P–O bond distances ranging from 1.51–1.63 Å. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 37–38°. There are a spread of P–O bond distances ranging from 1.50–1.59 Å. In the thirteenth 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 33–37°. There are a spread of P–O bond distances ranging from 1.49–1.59 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 40–45°. There are a spread of P–O bond distances ranging from 1.53–1.61 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 40–48°. There are a spread of P–O bond distances ranging from 1.53–1.62 Å. In the sixteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, 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 40–47°. There are a spread of P–O bond distances ranging from 1.50–1.63 Å. There are fifty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded to three Li1+ and one P5+ atom to form distorted corner-sharing OLi3P trigonal pyramids. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V4+, and one P5+ atom. In the third O2- site, O2- is bonded in a 3-coordinate geometry to two Li1+ and one P5+ atom. In the fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V4+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a bent 150 degrees geometry to one V4+ and one P5+ atom. In the sixth O2- site, O2- is bonded in a bent 150 degrees geometry to one V4+ and one P5+ atom. In the seventh O2- site, O2- is bonded in a bent 150 degrees geometry to one V4+ 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 bent 150 degrees geometry to one V4+ and one P5+ atom. In the tenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one V4+, and one P5+ atom. In the eleventh O2- site, O2- is bonded in a bent 150 degrees geometry to one V4+ and one P5+ atom. In the twelfth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one V4+, 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 3-coordinate geometry to one Li1+, one V4+, and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one V4+ and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one V4+, and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V4+, and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two P5+ atoms. In the twentieth O2- site, O2- is bonded in a 4-coordinate geometry to three Li1+ and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a 4-coordinate geometry to three Li1+ and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a bent 150 degrees geometry to one V4+ and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one V4+, and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V4+, and one P5+ atom. In the twenty-fifth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one V4+ and one P5+ atom. In the twenty-sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V4+, 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 4-coordinate geometry to three Li1+ and one P5+ atom. In the twenty-ninth O2- site, O2- is bonded in a 4-coordinate geometry to three Li1+ and one P5+ atom. In the thirtieth O2- site, O2- is

36 MATERIALS SCIENCE↗

Materials Data on Sr2Ti5(Bi2O9)2 by Materials Project

Sr2Bi4Ti5O18 is Pb (Zr_0.50 Ti_0.48) O_3-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are four inequivalent Sr2+ sites. In the first Sr2+ site, Sr2+ is bonded in a 12-coordinate geometry to twelve O2- atoms. There are a spread of Sr–O bond distances ranging from 2.55–3.18 Å. In the second Sr2+ site, Sr2+ is bonded in a 11-coordinate geometry to eleven O2- atoms. There are a spread of Sr–O bond distances ranging from 2.56–3.00 Å. In the third Sr2+ site, Sr2+ is bonded in a 12-coordinate geometry to twelve O2- atoms. There are a spread of Sr–O bond distances ranging from 2.56–3.22 Å. In the fourth Sr2+ site, Sr2+ is bonded in a 12-coordinate geometry to eleven O2- atoms. There are a spread of Sr–O bond distances ranging from 2.54–3.00 Å. There are ten inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to six O2- atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 12–29°. There are a spread of Ti–O bond distances ranging from 1.83–2.14 Å. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 19–28°. There are a spread of Ti–O bond distances ranging from 1.84–2.19 Å. In the third Ti4+ site, Ti4+ is bonded to six O2- atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 12–29°. There are a spread of Ti–O bond distances ranging from 1.84–2.13 Å. In the fourth Ti4+ site, Ti4+ is bonded to six O2- atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 20–28°. There are a spread of Ti–O bond distances ranging from 1.86–2.16 Å. In the fifth Ti4+ site, Ti4+ is bonded to six O2- atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 11–19°. There are a spread of Ti–O bond distances ranging from 1.85–2.09 Å. In the sixth Ti4+ site, Ti4+ is bonded to six O2- atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 11–22°. There are a spread of Ti–O bond distances ranging from 1.86–2.07 Å. In the seventh Ti4+ site, Ti4+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ti–O bond distances ranging from 1.78–2.40 Å. In the eighth Ti4+ site, Ti4+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ti–O bond distances ranging from 1.78–2.43 Å. In the ninth Ti4+ site, Ti4+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ti–O bond distances ranging from 1.78–2.40 Å. In the tenth Ti4+ site, Ti4+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ti–O bond distances ranging from 1.78–2.44 Å. There are eight inequivalent Bi3+ sites. In the first Bi3+ site, Bi3+ is bonded in a 5-coordinate geometry to seven O2- atoms. There are a spread of Bi–O bond distances ranging from 2.25–3.01 Å. In the second Bi3+ site, Bi3+ is bonded in a 5-coordinate geometry to seven O2- atoms. There are a spread of Bi–O bond distances ranging from 2.25–2.98 Å. In the third Bi3+ site, Bi3+ is bonded in a 5-coordinate geometry to seven O2- atoms. There are a spread of Bi–O bond distances ranging from 2.24–3.02 Å. In the fourth Bi3+ site, Bi3+ is bonded in a 5-coordinate geometry to seven O2- atoms. There are a spread of Bi–O bond distances ranging from 2.25–3.00 Å. In the fifth Bi3+ site, Bi3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Bi–O bond distances ranging from 2.26–2.70 Å. In the sixth Bi3+ site, Bi3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Bi–O bond distances ranging from 2.26–2.82 Å. In the seventh Bi3+ site, Bi3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Bi–O bond distances ranging from 2.26–2.68 Å. In the eighth Bi3+ site, Bi3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Bi–O bond distances ranging from 2.26–2.68 Å. There are thirty-six inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to one Sr2+, two Ti4+, and one Bi3+ atom. In the second O2- site, O2- is bonded in a 2-coordinate geometry to two Sr2+, two Ti4+, and one Bi3+ atom. In the third O2- site, O2- is bonded in a 4-coordinate geometry to one Sr2+, two Ti4+, and one Bi3+ atom. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to two Sr2+, two Ti4+, and one Bi3+ atom. In the fifth O2- site, O2- is bonded in a 2-coordinate geometry to four Sr2+ and two Ti4+ atoms. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Sr2+, two Ti4+, and one Bi3+ atom. In the seventh O2- site, O2- is bonded in a 2-coordinate geometry to four Sr2+ and two Ti4+ atoms. In the eighth O2- site, O2- is bonded in a 5-coordinate geometry to two equivalent Sr2+, two Ti4+, and one Bi3+ atom. In the ninth O2- site, O2- is bonded in a 4-coordinate geometry to two Ti4+ and two Bi3+ atoms. In the tenth O2- site, O2- is bonded in a 4-coordinate geometry to one Sr2+, two Ti4+, and one Bi3+ atom. In the eleventh O2- site, O2- is bonded in a 4-coordinate geometry to two Ti4+ and two Bi3+ atoms. In the twelfth O2- site, O2- is bonded in a 2-coordinate geometry to one Sr2+, two Ti4+, and one Bi3+ atom. In the thirteenth O2- site, O2- is bonded in a 2-coordinate geometry to three Sr2+ and two Ti4+ atoms. In the fourteenth O2- site, O2- is bonded in a 2-coordinate geometry to three Sr2+ and two Ti4+ atoms. In the fifteenth O2- site, O2- is bonded in a 2-coordinate geometry to three Sr2+, two Ti4+, and one Bi3+ atom. In the sixteenth O2- site, O2- is bonded in a 2-coordinate geometry to three Sr2+ and two Ti4+ atoms. In the seventeenth O2- site, O2- is bonded in a distorted see-saw-like geometry to two Ti4+ and two Bi3+ atoms. In the eighteenth O2- site, O2- is bonded in a distorted single-bond geometry to two equivalent Sr2+, two Ti4+, and one Bi3+ atom. In the nineteenth O2- site, O2- is bonded in a distorted see-saw-like geometry to two Ti4+ and two Bi3+ atoms. In the twentieth O2- site, O2- is bonded in a distorted single-bond geometry to two equivalent Sr2+, two Ti4+, and one Bi3+ atom. In the twenty-first O2- site, O2- is bonded in a 2-coordinate geometry to two Sr2+, two Ti4+, and one Bi3+ atom. In the twenty-second O2- site, O2- is bonded in a 4-coordinate geometry to two Sr2+ and two Ti4+ atoms. In the twenty-third O2- site, O2- is bonded in a 4-coordinate geometry to two Sr2+, two Ti4+, and one Bi3+ atom. In the twenty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to two Sr2+ and two Ti4+ atoms. In the twenty-fifth O2- site, O2- is bonded in a distorted single-bond geometry to one Ti4+ and three Bi3+ atoms. In the twenty-sixth O2- site, O2- is bonded in a distorted single-bond geometry to one Ti4+ and three Bi3+ atoms. In the twenty-seventh O2- site, O2- is bonded in a distorted single-bond geometry to one Ti4+ and three Bi3+ atoms. In the twenty-eighth O2- site, O2- is bonded in a distorted single-bond geometry to one Ti4+ and three Bi3+ atoms. In the twenty-ninth O2- site, O2- is bonded in a 4-coordinate geometry to one Sr2+, two Ti4+, and one Bi3+ atom. In the thirtieth O2- site, O2- is bonded in a 3-coordinate geometry to two Ti4+ and one Bi3+ atom. In the thirty-first O2- site, O2- is bonded in a 2-coordinate geometry to one Sr2+, two Ti4+, and one Bi3+ atom. In the thirty-second O2- site, O2- is bonded in a 3-coordinate geometry to two Ti4+ and one Bi3+ atom. In the thirty-third O2- site, O2- is bonded to four Bi3+ atoms to form a mixture of corner and edge-sharing OBi4 tetrahedra. In the thirty-fourth O2- site, O2- is bonded to four Bi3+ atoms to form a mixture of corner and edge-sharing OBi4 tetrahedra. In the thirty-fifth O2- site, O2- is bonded to four Bi3+ atoms to form a mixture of corner and edge-sharing OBi4 tetrahedra. In the thirty-sixth O2- site, O2- is bonded to four Bi3+ atoms to form a mixture of corner and edge-sharing OBi4 tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on Li5V3P8O29 by Materials Project

Li5V3P8O29 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are ten inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with four PO4 tetrahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.90–2.28 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 1.91–2.40 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 1.98–2.40 Å. In the fourth 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 1.96–2.10 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 1.96–2.13 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with four PO4 tetrahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.96–2.26 Å. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three VO6 octahedra and corners with four PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 66–71°. There are a spread of Li–O bond distances ranging from 1.88–2.28 Å. In the eighth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.90–2.34 Å. In the ninth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.98–2.31 Å. In the tenth Li1+ site, Li1+ is bonded in a 5-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 1.93–2.84 Å. There are six inequivalent V+4.33+ sites. In the first V+4.33+ site, V+4.33+ 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 1.86–2.04 Å. In the second V+4.33+ site, V+4.33+ is bonded to six O2- atoms to form VO6 octahedra that share a cornercorner with one LiO4 tetrahedra, corners with six PO4 tetrahedra, and an edgeedge with one LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.82–2.03 Å. In the third V+4.33+ site, V+4.33+ is bonded to six O2- atoms to form VO6 octahedra that share a cornercorner with one LiO4 tetrahedra and corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.84–2.01 Å. In the fourth V+4.33+ site, V+4.33+ 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 1.85–2.01 Å. In the fifth V+4.33+ site, V+4.33+ 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 1.88–2.04 Å. In the sixth V+4.33+ site, V+4.33+ is bonded to six O2- atoms to form VO6 octahedra that share a cornercorner with one LiO4 tetrahedra and corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.84–2.03 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 PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedral tilt angles are 42°. There are a spread of P–O bond distances ranging from 1.50–1.61 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share 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 37–38°. There are a spread of P–O bond distances ranging from 1.49–1.60 Å. In the third 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 39–43°. There are a spread of P–O bond distances ranging from 1.49–1.63 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 31–35°. There are a spread of P–O bond distances ranging from 1.49–1.61 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 27–34°. There are a spread of P–O bond distances ranging from 1.48–1.59 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 36–46°. There are a spread of P–O bond distances ranging from 1.48–1.62 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 40–46°. There are a spread of P–O bond distances ranging from 1.49–1.61 Å. In the eighth 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 37–47°. 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 39–46°. There are a spread of P–O bond distances ranging from 1.48–1.62 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 39–40°. There are a spread of P–O bond distances ranging from 1.49–1.62 Å. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 39–48°. There are a spread of P–O bond distances ranging from 1.51–1.61 Å. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 33–40°. There are a spread of P–O bond distances ranging from 1.50–1.61 Å. In the thirteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra and a cornercorner with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 25–35°. There are a spread of P–O bond distances ranging from 1.48–1.59 Å. In the fourteenth 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 43–46°. There are a spread of P–O bond distances ranging from 1.48–1.62 Å. In the fifteenth 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 43°. There are a spread of P–O bond distances ranging from 1.51–1.62 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 38–45°. There are a spread of P–O bond distances ranging from 1.50–1.60 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+4.33+ and one P5+ atom. In the third O2- site, O2- is bonded in a bent 120 degrees geometry to one Li1+ and one P5+ atom. In the fourth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.33+ and one P5+ atom. In the fifth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one V+4.33+ and one P5+ atom. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+4.33+, and one P5+ atom. In the seventh O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.33+ and one P5+ atom. In the eighth O2- site, O2- is bonded in a trigonal planar geometry to two Li1+ and one P5+ atom. In the ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+4.33+, and one P5+ atom. In the tenth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.33+ and one P5+ atom. In the eleventh O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.33+ and one P5+ atom. In the twelfth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.33+ 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 3-coordinate geometry to one Li1+, one V+4.33+, and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.33+ and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+4.33+, and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+4.33+, and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two P5+ atoms. In the twentieth O2- site, O2- is bonded in a 3-coordinate geometry to two Li1+ and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a bent 120 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+4.33+ 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+4.33+, and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+4.33+, and one P5+ atom. In the twenty-fifth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.33+ and one P5+ atom. In the twenty-sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+4.33+, 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 distorted trigonal planar geometry to three Li1+ and one P5+ atom. In the thirtieth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.33+ and one P5+ atom. In the thirty-first O2- site, O2- is bonded

36 MATERIALS SCIENCE↗

Materials Data on Ba4Fe12Si8ClO35 by Materials Project

Ba4Fe12Si8O35Cl crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are four inequivalent Ba2+ sites. In the first Ba2+ site, Ba2+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of Ba–O bond distances ranging from 2.76–3.01 Å. In the second Ba2+ site, Ba2+ is bonded in a 11-coordinate geometry to ten O2- and one Cl1- atom. There are a spread of Ba–O bond distances ranging from 2.79–3.04 Å. The Ba–Cl bond length is 3.16 Å. In the third Ba2+ site, Ba2+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of Ba–O bond distances ranging from 2.77–3.02 Å. In the fourth Ba2+ site, Ba2+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of Ba–O bond distances ranging from 2.76–2.99 Å. There are twelve inequivalent Fe+2.58+ sites. In the first Fe+2.58+ site, Fe+2.58+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two SiO4 tetrahedra, corners with two FeO5 trigonal bipyramids, and edges with six FeClO5 octahedra. There are a spread of Fe–O bond distances ranging from 2.16–2.32 Å. In the second Fe+2.58+ site, Fe+2.58+ is bonded to five O2- and one Cl1- atom to form distorted FeClO5 octahedra that share corners with two SiO4 tetrahedra, corners with two FeO5 trigonal bipyramids, and edges with six FeClO5 octahedra. There are a spread of Fe–O bond distances ranging from 2.13–2.36 Å. The Fe–Cl bond length is 2.60 Å. In the third Fe+2.58+ site, Fe+2.58+ is bonded to five O2- and one Cl1- atom to form distorted FeClO5 octahedra that share corners with two SiO4 tetrahedra, corners with two FeO5 trigonal bipyramids, and edges with six FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.16–2.25 Å. The Fe–Cl bond length is 2.56 Å. In the fourth Fe+2.58+ site, Fe+2.58+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two SiO4 tetrahedra, corners with two FeO5 trigonal bipyramids, and edges with six FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.97–2.30 Å. In the fifth Fe+2.58+ site, Fe+2.58+ is bonded to five O2- atoms to form distorted FeO5 trigonal bipyramids that share corners with three FeClO5 octahedra and corners with four SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 63–65°. There are a spread of Fe–O bond distances ranging from 1.91–2.01 Å. In the sixth Fe+2.58+ site, Fe+2.58+ is bonded to five O2- atoms to form distorted FeO5 trigonal bipyramids that share corners with three FeO6 octahedra and corners with four SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 60–67°. There are a spread of Fe–O bond distances ranging from 1.89–2.01 Å. In the seventh Fe+2.58+ site, Fe+2.58+ is bonded to five O2- atoms to form distorted FeO5 trigonal bipyramids that share corners with three FeClO5 octahedra and corners with four SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 61–71°. There are a spread of Fe–O bond distances ranging from 1.89–2.01 Å. In the eighth Fe+2.58+ site, Fe+2.58+ is bonded to five O2- atoms to form distorted FeO5 trigonal bipyramids that share corners with three FeO6 octahedra and corners with four SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 58–67°. There are a spread of Fe–O bond distances ranging from 1.88–2.01 Å. In the ninth Fe+2.58+ site, Fe+2.58+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with four SiO4 tetrahedra and edges with six FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.91–2.26 Å. In the tenth Fe+2.58+ site, Fe+2.58+ is bonded to five O2- and one Cl1- atom to form distorted FeClO5 octahedra that share corners with four SiO4 tetrahedra and edges with six FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.86–2.20 Å. The Fe–Cl bond length is 2.44 Å. In the eleventh Fe+2.58+ site, Fe+2.58+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with four SiO4 tetrahedra, corners with two FeO5 trigonal bipyramids, and edges with six FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.03–2.37 Å. In the twelfth Fe+2.58+ site, Fe+2.58+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with four SiO4 tetrahedra, corners with two FeO5 trigonal bipyramids, and edges with six FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.03–2.38 Å. There are eight inequivalent Si4+ sites. In the first Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with three FeO6 octahedra, a cornercorner with one SiO4 tetrahedra, and corners with two FeO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 57–61°. There are a spread of Si–O bond distances ranging from 1.63–1.66 Å. In the second Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with three FeClO5 octahedra, a cornercorner with one SiO4 tetrahedra, and corners with two FeO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 57–62°. There are a spread of Si–O bond distances ranging from 1.63–1.66 Å. In the third Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with three FeClO5 octahedra, a cornercorner with one SiO4 tetrahedra, and corners with two FeO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 56–62°. There are a spread of Si–O bond distances ranging from 1.63–1.66 Å. In the fourth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with three FeO6 octahedra, a cornercorner with one SiO4 tetrahedra, and corners with two FeO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 58–61°. There is two shorter (1.63 Å) and two longer (1.66 Å) Si–O bond length. In the fifth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with three FeClO5 octahedra, a cornercorner with one SiO4 tetrahedra, and corners with two FeO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 61–64°. There are a spread of Si–O bond distances ranging from 1.63–1.66 Å. In the sixth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with three FeO6 octahedra, a cornercorner with one SiO4 tetrahedra, and corners with two FeO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 56–64°. There are a spread of Si–O bond distances ranging from 1.63–1.66 Å. In the seventh Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with three FeO6 octahedra, a cornercorner with one SiO4 tetrahedra, and corners with two FeO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 58–62°. There are a spread of Si–O bond distances ranging from 1.63–1.66 Å. In the eighth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with three FeClO5 octahedra, a cornercorner with one SiO4 tetrahedra, and corners with two FeO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 60–66°. There are a spread of Si–O bond distances ranging from 1.63–1.66 Å. There are thirty-five inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to three Fe+2.58+ and one Si4+ atom. In the second O2- site, O2- is bonded in a 4-coordinate geometry to three Fe+2.58+ and one Si4+ atom. In the third O2- site, O2- is bonded in a 4-coordinate geometry to three Fe+2.58+ and one Si4+ atom. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to three Fe+2.58+ and one Si4+ atom. In the fifth O2- site, O2- is bonded to three Fe+2.58+ and one Si4+ atom to form distorted OFe3Si tetrahedra that share corners with three OFe3Si tetrahedra and an edgeedge with one OFe4 tetrahedra. In the sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Fe+2.58+ and one Si4+ atom. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to three Fe+2.58+ and one Si4+ atom. In the eighth O2- site, O2- is bonded to three Fe+2.58+ and one Si4+ atom to form a mixture of distorted corner and edge-sharing OFe3Si tetrahedra. In the ninth O2- site, O2- is bonded in a 4-coordinate geometry to two Ba2+, one Fe+2.58+, and one Si4+ atom. In the tenth O2- site, O2- is bonded in a 4-coordinate geometry to two Ba2+, one Fe+2.58+, and one Si4+ atom. In the eleventh O2- site, O2- is bonded in a 4-coordinate geometry to two Ba2+, one Fe+2.58+, and one Si4+ atom. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to two Ba2+, one Fe+2.58+, and one Si4+ atom. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Ba2+, one Fe+2.58+, and one Si4+ atom. In the fourteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Ba2+, one Fe+2.58+, and one Si4+ atom. In the fifteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Ba2+, one Fe+2.58+, and one Si4+ atom. In the sixteenth O2- site, O2- is bonded in a 2-coordinate geometry to two Ba2+, one Fe+2.58+, and one Si4+ atom. In the seventeenth O2- site, O2- is bonded in a bent 150 degrees geometry to two Ba2+ and two Si4+ atoms. In the eighteenth O2- site, O2- is bonded in a bent 150 degrees geometry to two Ba2+ and two Si4+ atoms. In the nineteenth O2- site, O2- is bonded in a bent 150 degrees geometry to two Ba2+ and two Si4+ atoms. In the twentieth O2- site, O2- is bonded in a bent 150 degrees geometry to two Ba2+ and two Si4+ atoms. In the twenty-first O2- site, O2- is bonded to four Fe+2.58+ atoms to form distorted OFe4 tetrahedra that share a cornercorner with one OFe4 tetrahedra and edges with two OFe3Si tetrahedra. In the twenty-second O2- site, O2- is bonded to four Fe+2.58+ atoms to form a mixture of distorted corner and edge-sharing OFe4 tetrahedra. In the twenty-third O2- site, O2- is bonded to four Fe+2.58+ atoms to form distorted OFe4 tetrahedra that share corners with three OFe3Si tetrahedra and an edgeedge with one OFe4 tetrahedra. In the twenty-fourth O2- site, O2- is bonded to four Fe+2.58+ atoms to form distorted OFe4 tetrahedra that share corners with three OFe3Si tetrahedra and an edgeedge with one OFe4 tetrahedra. In the twenty-fifth O2- site, O2- is bonded in a 2-coordinate geometry to two Ba2+, one Fe+2.58+, and one Si4+ atom. In the twenty-sixth O2- site, O2- is bonded in a 4-coordinate geometry to two Ba2+, one Fe+2.58+, and one Si4+ atom. In the twenty-seventh O2- site, O2- is bonded in a 4-coordinate geometry to two Ba2+, one Fe+2.58+, and one Si4+ atom. In the twenty-eighth O2- site, O2- is bonded in a 4-coordinate geometry to two Ba2+, one Fe+2.58+, and one Si4+ atom. In the twenty-ninth O2- site, O2- is bonded in a 4-coordinate geometry to two Ba2+, one Fe+2.58+, and one Si4+ atom. In the thirtieth O2- site, O2- is bonded in a 4-coordinate geometry to two Ba2+, one Fe+2.58+, and one Si4+ atom. In the thirty-first O2- site, O2- is bonded in a 4-coordinate geometry to two Ba2+, one Fe+2.58+, and one Si4+ atom. In the thirty-second O2- site, O2- is bonded in a 4-coordinate geometry to two Ba2+, one Fe+2.58+, and one Si4+ atom. In the thirty-third O2- site, O2- is bonded in a trigonal non-coplanar geometry to three Fe+2.58+ atoms. In the thirty-fourth O2- site, O2- is bonded in a 3-coordinate geometry to three Fe+2.58+ atoms. In the thirty-fifth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Fe+2.58+ atoms. Cl1- is bonded in a 4-coordinate geometry to one Ba2+ and three Fe+2.58+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Li5V3P8O29 by Materials Project

Li5V3P8O29 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are ten inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with four PO4 tetrahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.89–2.24 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 1.97–2.38 Å. In the third Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 2.00–2.12 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with four PO4 tetrahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 2.01–2.13 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with four PO4 tetrahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.98–2.21 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 1.89–2.33 Å. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with four PO4 tetrahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.95–2.14 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 1.96–2.25 Å. In the ninth 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 2.01–2.75 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 1.86–2.58 Å. There are six inequivalent V+4.33+ sites. In the first V+4.33+ site, V+4.33+ 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 1.86–2.00 Å. In the second V+4.33+ site, V+4.33+ 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 1.86–2.02 Å. In the third V+4.33+ site, V+4.33+ 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 1.89–2.01 Å. In the fourth V+4.33+ site, V+4.33+ 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 1.89–1.99 Å. In the fifth V+4.33+ site, V+4.33+ 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 1.86–1.94 Å. In the sixth V+4.33+ site, V+4.33+ 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 1.85–1.99 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 octahedra tilt angles range from 39–40°. 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, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 42–44°. There are a spread of P–O bond distances ranging from 1.50–1.60 Å. In the third 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 38–48°. There are a spread of P–O bond distances ranging from 1.50–1.62 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 30–38°. There are a spread of P–O bond distances ranging from 1.49–1.59 Å. In the fifth 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 32–36°. There are a spread of P–O bond distances ranging from 1.49–1.61 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 40–42°. There are a spread of P–O bond distances ranging from 1.50–1.62 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 39–48°. There are a spread of P–O bond distances ranging from 1.50–1.61 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 40–45°. There are a spread of P–O bond distances ranging from 1.51–1.62 Å. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 40–42°. There are a spread of P–O bond distances ranging from 1.48–1.63 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 39–45°. There are a spread of P–O bond distances ranging from 1.48–1.62 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 PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 41–42°. There are a spread of P–O bond distances ranging from 1.52–1.61 Å. In the twelfth 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 27–36°. There is one shorter (1.49 Å) and three longer (1.58 Å) P–O bond length. In the thirteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra and a cornercorner with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 34–40°. There are a spread of P–O bond distances ranging from 1.49–1.63 Å. In the fourteenth 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 38–46°. There are a spread of P–O bond distances ranging from 1.48–1.62 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 39–47°. There are a spread of P–O bond distances ranging from 1.50–1.62 Å. In the sixteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 38–46°. There are a spread of P–O bond distances ranging from 1.51–1.62 Å. There are fifty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a bent 120 degrees geometry to one Li1+ and one P5+ atom. In the second O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one V+4.33+ and one P5+ atom. In the third O2- site, O2- is bonded in a bent 150 degrees geometry to one Li1+ and one P5+ atom. In the fourth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.33+ and one P5+ atom. In the fifth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.33+ and one P5+ atom. In the sixth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.33+ and one P5+ atom. In the seventh O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.33+ and one P5+ atom. In the eighth O2- site, O2- is bonded in a distorted trigonal planar 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+4.33+, and one P5+ atom. In the tenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+4.33+, and one P5+ atom. In the eleventh O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.33+ and one P5+ atom. In the twelfth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+4.33+, 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 distorted trigonal non-coplanar geometry to one Li1+, one V+4.33+, and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.33+ and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one V+4.33+, and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+4.33+, and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two P5+ atoms. In the twentieth O2- site, O2- is bonded in a trigonal planar geometry to two Li1+ and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a 3-coordinate geometry to two Li1+ and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.33+ and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+4.33+, and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+4.33+, and one P5+ atom. In the twenty-fifth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.33+ and one P5+ atom. In the twenty-sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+4.33+, and one P5+ atom. In the twenty-seventh O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two P5+ atoms. In the twenty-eighth O2- site, O2- is bonded in a trigonal planar geometry to two Li1+ and one P5+ atom. In the twenty-ninth O2- site, O2- is bonded in a trigonal planar geometry to two Li1+ and one P5+ atom. In the thirtieth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+4.33+, and one P5+ atom. In the thirty-first O2- site, O2- i

36 MATERIALS SCIENCE↗

Materials Data on Li5V3P8O29 by Materials Project

Li5V3P8O29 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are ten 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 1.86–2.51 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 1.97–2.16 Å. In the third Li1+ site, Li1+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.97–2.11 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 1.86–2.39 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with four PO4 tetrahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.86–2.39 Å. In the sixth 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 1.95–2.11 Å. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three VO6 octahedra and corners with four PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 63–66°. There are a spread of Li–O bond distances ranging from 1.88–2.25 Å. In the eighth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 2.00–2.23 Å. In the ninth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with four PO4 tetrahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.97–2.25 Å. In the tenth 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 2.00–2.80 Å. There are six inequivalent V+4.33+ sites. In the first V+4.33+ site, V+4.33+ is bonded to six O2- atoms to form VO6 octahedra that share a cornercorner with one LiO4 tetrahedra and corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.83–1.96 Å. In the second V+4.33+ site, V+4.33+ 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 1.86–2.01 Å. In the third V+4.33+ site, V+4.33+ 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 1.83–1.96 Å. In the fourth V+4.33+ site, V+4.33+ is bonded to six O2- atoms to form VO6 octahedra that share a cornercorner with one LiO4 tetrahedra, corners with six PO4 tetrahedra, and an edgeedge with one LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.88–2.07 Å. In the fifth V+4.33+ site, V+4.33+ is bonded to six O2- atoms to form VO6 octahedra that share a cornercorner with one LiO4 tetrahedra and corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.88–2.01 Å. In the sixth V+4.33+ site, V+4.33+ 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 1.87–1.98 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 and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedral tilt angles are 39°. There are a spread of P–O bond distances ranging from 1.48–1.61 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedral tilt angles are 40°. There are a spread of P–O bond distances ranging from 1.50–1.62 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 34–41°. There are a spread of P–O bond distances ranging from 1.50–1.61 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 octahedral tilt angles are 29°. There are a spread of P–O bond distances ranging from 1.48–1.59 Å. In the fifth 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 37–39°. There are a spread of P–O bond distances ranging from 1.50–1.60 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 41–44°. There are a spread of P–O bond distances ranging from 1.48–1.61 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 42–45°. There are a spread of P–O bond distances ranging from 1.50–1.62 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 38–43°. There are a spread of P–O bond distances ranging from 1.50–1.61 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 octahedral tilt angles are 49°. There are a spread of P–O bond distances ranging from 1.48–1.61 Å. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 35–38°. There are a spread of P–O bond distances ranging from 1.51–1.60 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 PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 45–49°. There are a spread of P–O bond distances ranging from 1.48–1.62 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 31–36°. There are a spread of P–O bond distances ranging from 1.48–1.61 Å. In the thirteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 25–37°. There are a spread of P–O bond distances ranging from 1.50–1.60 Å. In the fourteenth 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 41–45°. There are a spread of P–O bond distances ranging from 1.52–1.62 Å. In the fifteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share 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 39–44°. There are a spread of P–O bond distances ranging from 1.50–1.62 Å. In the sixteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 47–51°. 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 3-coordinate geometry to three Li1+ and one P5+ atom. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+4.33+, and one P5+ atom. In the third O2- site, O2- is bonded in a bent 150 degrees geometry to one Li1+ and one P5+ atom. In the fourth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.33+ and one P5+ atom. In the fifth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.33+ and one P5+ atom. In the sixth O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, one V+4.33+, and one P5+ atom. In the seventh O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.33+ and one P5+ atom. In the eighth O2- site, O2- is bonded in a trigonal planar geometry to two Li1+ and one P5+ atom. In the ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+4.33+, and one P5+ atom. In the tenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one V+4.33+, and one P5+ atom. In the eleventh O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.33+ and one P5+ atom. In the twelfth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one V+4.33+, 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 3-coordinate geometry to one Li1+, one V+4.33+, and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.33+ and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, one V+4.33+, and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.33+ and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two P5+ atoms. In the twentieth O2- site, O2- is bonded in a distorted T-shaped geometry to two Li1+ and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a distorted bent 120 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+4.33+ 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+4.33+, and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one V+4.33+, and one P5+ atom. In the twenty-fifth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.33+ and one P5+ atom. In the twenty-sixth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.33+ 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 3-coordinate geometry to two Li1+ and one P5+ atom. In the twenty-ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Li1+ and one P5+ atom. In the thirtieth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+4.33+, and one P5+ atom. In the thirty-first O2- site, O2- is bonded in a

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 twelve 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 2.08–2.69 Å. In the second 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 2.08–2.61 Å. In the third 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 2.08–2.23 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 2.08–2.67 Å. In the fifth 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 sixth 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 2.08–2.13 Å. In the seventh 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 2.08–2.24 Å. In the eighth 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 2.07–2.63 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 2.09–2.64 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 2.09–2.64 Å. In the eleventh 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 2.09–2.67 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 2.09–2.55 Å. There are nine 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 2.06–2.10 Å. In the second Hf4+ site, Hf4+ is bonded in an octahedral geometry to six O2- atoms. There are a spread of Hf–O bond distances ranging from 2.06–2.10 Å. In the third 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 2.05–2.44 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 2.07–2.56 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 2.07–2.54 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 2.06–2.47 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 2.04–2.44 Å. In the eighth 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 48°. There are a spread of Hf–O bond distances ranging from 2.05–2.35 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 2.04–2.44 Å. There are thirty-six 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 in a 3-coordinate geometry to two Sc3+ and two Hf4+ atoms. In the third O2- site, O2- is bonded in a 3-coordinate geometry to two Sc3+ and two Hf4+ atoms. In the fourth 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 fifth O2- site, O2- is bonded in a 3-coordinate geometry to two Sc3+ and two Hf4+ atoms. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to one Sc3+ and two Hf4+ atoms. 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 a mixture of distorted corner and edge-sharing OHfSc3 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 six OHfSc3 tetrahedra and edges with three OHf2Sc2 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 to three Sc3+ and one Hf4+ atom to form distorted OHfSc3 tetrahedra that share corners with five OHfSc3 tetrahedra, a cornercorner with one OHf2Sc2 trigonal pyramid, edges with two OHfSc3 tetrahedra, and an edgeedge with one OHf2Sc2 trigonal pyramid. In the twelfth O2- site, O2- is bonded in a 3-coordinate geometry to three Sc3+ and one Hf4+ atom. In the thirteenth 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 fourteenth O2- site, O2- is bonded to two Sc3+ and two Hf4+ atoms to form distorted OHf2Sc2 tetrahedra that share corners with five OHfSc3 tetrahedra, a cornercorner with one OHf2Sc2 trigonal pyramid, and edges with three OHfSc3 tetrahedra. In the fifteenth 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 sixteenth 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 seventeenth O2- site, O2- is bonded in a 3-coordinate geometry to three Sc3+ and one Hf4+ atom. In the eighteenth 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 nineteenth O2- site, O2- is bonded to two Sc3+ and two Hf4+ atoms to form distorted OHf2Sc2 tetrahedra that share corners with five OHfSc3 tetrahedra, a cornercorner with one OHf2Sc2 trigonal pyramid, edges with two OHf2Sc2 tetrahedra, and an edgeedge with one OHf2Sc2 trigonal pyramid. In the twentieth O2- site, O2- is bonded in a 3-coordinate geometry to two Sc3+ and two Hf4+ atoms. In the twenty-first O2- site, O2- is bonded to three Sc3+ and one Hf4+ atom to form distorted OHfSc3 tetrahedra that share corners with five OHfSc3 tetrahedra, a cornercorner with one OHf2Sc2 trigonal pyramid, and edges with three OHf2Sc2 tetrahedra. In the twenty-second O2- site, O2- is bonded to two Sc3+ and two Hf4+ atoms to form a mixture of distorted corner and edge-sharing OHf2Sc2 trigonal pyramids. In the twenty-third O2- site, O2- is bonded to two Sc3+ and two Hf4+ atoms to form a mixture of distorted corner and edge-sharing OHf2Sc2 trigonal pyramids. In the twenty-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 twenty-fifth O2- site, O2- is bonded in a 3-coordinate geometry to two Sc3+ and two Hf4+ atoms. In the twenty-sixth 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-seventh O2- site, O2- is bonded in a 3-coordinate geometry to two Sc3+ and two Hf4+ atoms. In the twenty-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 twenty-ninth O2- site, O2- is bonded to two Sc3+ and two Hf4+ atoms to form distorted OHf2Sc2 tetrahedra that share corners with four OHf2Sc2 tetrahedra, corners with two equivalent OHf2Sc2 trigonal pyramids, and edges with four OHfSc3 tetrahedra. In the thirtieth 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 thirty-first O2- site, O2- is bonded in a 4-coordinate geometry to two Sc3+ and two Hf4+ atoms. In the thirty-second O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Hf4+ atoms. In the thirty-third 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-fourth O2- site, O2- is bonded in a 4-coordinate geometry to two Sc3+ and two Hf4+ atoms. In the thirty-fifth O2- site, O2- is bonded in a 3-coordinate geometry to two Sc3+ and two Hf4+ atoms. In the thirty-sixth O2- site, O2- is bonded in a 4-coordinate geometry to one Sc3+ and three Hf4+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on LaAl22O34 by Materials Project

LaAl22O34 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are two inequivalent La2+ sites. In the first La2+ site, La2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of La–O bond distances ranging from 2.48–2.90 Å. In the second La2+ site, La2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of La–O bond distances ranging from 2.48–2.90 Å. There are twenty-three inequivalent Al3+ sites. In the first Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six AlO4 tetrahedra and edges with six AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.90–1.92 Å. In the second Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with five AlO4 tetrahedra and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.85–1.99 Å. In the third Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with five AlO4 tetrahedra and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.81–2.08 Å. In the fourth Al3+ site, Al3+ is bonded to four O2- atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 54–60°. There are a spread of Al–O bond distances ranging from 1.81–1.84 Å. In the fifth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with six AlO6 octahedra and a cornercorner with one AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 52–58°. There are a spread of Al–O bond distances ranging from 1.74–1.82 Å. In the sixth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with six AlO6 octahedra and a cornercorner with one AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 52–58°. There are a spread of Al–O bond distances ranging from 1.74–1.82 Å. In the seventh Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with five AlO4 tetrahedra and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.82–2.07 Å. In the eighth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with five AlO4 tetrahedra and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.83–2.07 Å. In the ninth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with five AlO4 tetrahedra and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.82–2.08 Å. In the tenth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with five AlO4 tetrahedra and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.83–2.07 Å. In the eleventh Al3+ site, Al3+ is bonded to four O2- atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–60°. There are a spread of Al–O bond distances ranging from 1.81–1.84 Å. In the twelfth Al3+ site, Al3+ is bonded to four O2- atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–59°. There is two shorter (1.82 Å) and two longer (1.83 Å) Al–O bond length. In the thirteenth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with five AlO4 tetrahedra and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.85–1.99 Å. In the fourteenth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with five AlO4 tetrahedra and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.81–2.08 Å. In the fifteenth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with six AlO6 octahedra and a cornercorner with one AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 52–58°. There are a spread of Al–O bond distances ranging from 1.74–1.82 Å. In the sixteenth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with six AlO6 octahedra and a cornercorner with one AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 52–58°. There are a spread of Al–O bond distances ranging from 1.74–1.82 Å. In the seventeenth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with five AlO4 tetrahedra and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.81–2.08 Å. In the eighteenth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with five AlO4 tetrahedra and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.81–2.09 Å. In the nineteenth Al3+ site, Al3+ is bonded to four O2- atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–59°. There is two shorter (1.82 Å) and two longer (1.83 Å) Al–O bond length. In the twentieth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six AlO4 tetrahedra and edges with six AlO6 octahedra. There is four shorter (1.90 Å) and two longer (1.91 Å) Al–O bond length. In the twenty-first Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with five AlO4 tetrahedra and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.82–2.07 Å. In the twenty-second Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with five AlO4 tetrahedra and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.83–2.07 Å. In the twenty-third Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six AlO4 tetrahedra and edges with six AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.90–1.93 Å. There are thirty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to one La2+ and three Al3+ atoms. In the second O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Al3+ atoms. In the third O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Al3+ atoms. In the fourth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Al3+ atoms. In the fifth O2- site, O2- is bonded in a trigonal non-coplanar geometry to three Al3+ atoms. In the sixth O2- site, O2- is bonded in a trigonal planar geometry to three Al3+ atoms. In the seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to one La2+ and three Al3+ atoms. In the eighth O2- site, O2- is bonded in a 3-coordinate geometry to one La2+ and two Al3+ atoms. In the ninth O2- site, O2- is bonded in a trigonal planar geometry to three Al3+ atoms. In the tenth O2- site, O2- is bonded in a 3-coordinate geometry to one La2+ and three Al3+ atoms. In the eleventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Al3+ atoms. In the twelfth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Al3+ atoms. In the thirteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Al3+ atoms. In the fourteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Al3+ atoms. In the fifteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Al3+ atoms. In the sixteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Al3+ atoms. In the seventeenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Al3+ atoms. In the eighteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Al3+ atoms. In the nineteenth O2- site, O2- is bonded in a 3-coordinate geometry to one La2+ and three Al3+ atoms. In the twentieth O2- site, O2- is bonded in a trigonal planar geometry to three Al3+ atoms. In the twenty-first O2- site, O2- is bonded in a 3-coordinate geometry to one La2+ and three Al3+ atoms. In the twenty-second O2- site, O2- is bonded in a distorted trigonal planar geometry to one La2+ and three Al3+ atoms. In the twenty-third O2- site, O2- is bonded in a trigonal planar geometry to three Al3+ atoms. In the twenty-fourth O2- site, O2- is bonded in a 3-coordinate geometry to one La2+ and two Al3+ atoms. In the twenty-fifth O2- site, O2- is bonded in a trigonal planar geometry to three Al3+ atoms. In the twenty-sixth O2- site, O2- is bonded in a trigonal planar geometry to three Al3+ atoms. In the twenty-seventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Al3+ atoms. In the twenty-eighth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Al3+ atoms. In the twenty-ninth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Al3+ atoms. In the thirtieth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Al3+ atoms. In the thirty-first O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Al3+ atoms. In the thirty-second O2- site, O2- is bonded in a trigonal non-coplanar geometry to three Al3+ atoms. In the thirty-third O2- site, O2- is bonded in a trigonal planar geometry to three Al3+ atoms. In the thirty-fourth O2- site, O2- is bonded in a trigonal planar geometry to three Al3+ atoms.

36 MATERIALS SCIENCE↗