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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 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 1.90–2.39 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 1.92–2.27 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four PO4 tetrahedra and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.97–2.19 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 1.88–2.38 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 1.88–2.43 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 1.88–2.43 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 and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.88–2.23 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 1.87–2.39 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 1.84–1.98 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 1.89–1.99 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 1.82–1.97 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. There are a spread of V–O bond distances ranging from 1.84–1.98 Å. In the fifth V+4.67+ site, V+4.67+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and edges with two LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.87–1.99 Å. In the sixth V+4.67+ site, V+4.67+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.85–1.92 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 39–45°. There are a spread of P–O bond distances ranging from 1.48–1.62 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 octahedral tilt angles are 42°. There are a spread of P–O bond distances ranging from 1.51–1.62 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share 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 40–47°. There are a spread of P–O bond distances ranging from 1.48–1.62 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 31–35°. There are a spread of P–O bond distances ranging from 1.48–1.60 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra and a cornercorner with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 27–37°. There are a spread of P–O bond distances ranging from 1.48–1.61 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 41–47°. 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 38–44°. There are a spread of P–O bond distances ranging from 1.48–1.61 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 41–46°. There are a spread of P–O bond distances ranging from 1.50–1.62 Å. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 37–40°. 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 38–43°. 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 LiO4 tetrahedra, 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 1.50–1.61 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 33–35°. There are a spread of P–O bond distances ranging from 1.49–1.61 Å. In the thirteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 29–36°. There are a spread of P–O bond distances ranging from 1.49–1.60 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 39–45°. 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 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 1.50–1.62 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 38–44°. There are a spread of P–O bond distances ranging from 1.48–1.61 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+4.67+ and one P5+ atom. In the third O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two P5+ atoms. In the fourth O2- site, O2- is bonded in a bent 120 degrees geometry to one Li1+ and one P5+ atom. In the fifth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+4.67+, and one P5+ atom. In the seventh O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the eighth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the ninth O2- site, O2- is bonded in a bent 120 degrees geometry to one Li1+ and one P5+ atom. In the tenth O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one V+4.67+, and one P5+ atom. In the eleventh O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+4.67+, and one P5+ atom. In the twelfth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one V+4.67+ and 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 single-bond geometry to one P5+ atom. In the sixteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+4.67+, and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+4.67+, and one P5+ atom. In the twentieth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two P5+ atoms. In the twenty-first O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Li1+ and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Li1+ and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, one V+4.67+, and one P5+ atom. In the twenty-fifth 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-sixth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the twenty-seventh O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. 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 bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the thirty-first 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-second O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two P5+ atoms. In the thirty-third O2- site, O2- is bonded in

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 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 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 1.94–2.22 Å. In the fourth 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 2.03–2.19 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 1.93–2.15 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 2.00–2.18 Å. In the seventh Li1+ site, Li1+ is bonded in a distorted see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.99–2.18 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 2.00–2.17 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 2.00–2.16 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 2.01–2.18 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 1.94–2.79 Å. In the twelfth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 1.96–2.75 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 1.84–2.06 Å. In the second 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 1.85–2.05 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 1.89–1.98 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 1.90–1.99 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 1.90–1.97 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 1.90–2.04 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 octahedra tilt angles range from 40–43°. There are a spread of P–O bond distances ranging from 1.50–1.62 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 39–44°. 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, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 37–41°. There are a spread of P–O bond distances ranging from 1.51–1.62 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 37–38°. There are a spread of P–O bond distances ranging from 1.49–1.58 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 two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 36–37°. There are a spread of P–O bond distances ranging from 1.49–1.60 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 41–46°. There are a spread of P–O bond distances ranging from 1.52–1.61 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 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 1.50–1.62 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 38–41°. There are a spread of P–O bond distances ranging from 1.51–1.62 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 38–47°. There are a spread of P–O bond distances ranging from 1.52–1.62 Å. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 41–45°. There are a spread of P–O bond distances ranging from 1.52–1.60 Å. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra 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 1.50–1.63 Å. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra and a cornercorner with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 31–39°. There are a spread of P–O bond distances ranging from 1.49–1.58 Å. In the thirteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 32–38°. There are a spread of P–O bond distances ranging from 1.49–1.58 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 40–48°. 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 PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 39–47°. There are a spread of P–O bond distances ranging from 1.52–1.62 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 40–46°. There are a spread of P–O bond distances ranging from 1.51–1.61 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 V4+, and one P5+ atom. In the third O2- site, O2- is bonded in a 4-coordinate geometry to three 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 distorted trigonal non-coplanar geometry to one Li1+, 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 three Li1+ and one P5+ atom. In the ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, 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 distorted trigonal non-coplanar 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 bent 150 degrees geometry to 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 distorted trigonal planar geometry to two Li1+ and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a distorted trigonal planar 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 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 120 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 3-coordinate geometry to three Li1+ and one P5+ atom. In the thirtieth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V4+, and one P5+ atom. In the thirty-first O2- site, O2- is bonded in a bent 150 degrees geometry to one V4+ and one P5+ at

36 MATERIALS SCIENCE↗

Materials Data on FeHO2 by Materials Project

FeOOH crystallizes in the triclinic P1 space group. The structure is two-dimensional and consists of one FeOOH sheet oriented in the (0, 1, 1) direction. there are sixteen inequivalent Fe3+ sites. In the first Fe3+ site, Fe3+ is bonded to five O2- atoms to form distorted FeO5 trigonal bipyramids that share corners with three FeO6 octahedra and edges with two equivalent FeO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 48°. There are a spread of Fe–O bond distances ranging from 1.90–2.16 Å. In the second Fe3+ site, Fe3+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Fe–O bond distances ranging from 1.98–2.11 Å. In the third Fe3+ site, Fe3+ is bonded to five O2- atoms to form distorted FeO5 trigonal bipyramids that share corners with two FeO6 octahedra, a cornercorner with one FeO5 trigonal bipyramid, and edges with two equivalent FeO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 46–62°. There are a spread of Fe–O bond distances ranging from 1.88–2.22 Å. In the fourth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with four FeO5 trigonal bipyramids, an edgeedge with one FeO6 octahedra, and edges with two equivalent FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.96–2.15 Å. In the fifth Fe3+ site, Fe3+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Fe–O bond distances ranging from 1.86–2.44 Å. In the sixth Fe3+ site, Fe3+ is bonded to six O2- atoms to form distorted FeO6 octahedra that share corners with four FeO5 trigonal bipyramids, an edgeedge with one FeO6 octahedra, and edges with three FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.96–2.21 Å. In the seventh Fe3+ site, Fe3+ is bonded to five O2- atoms to form distorted FeO5 trigonal bipyramids that share corners with two FeO6 octahedra, a cornercorner with one FeO5 trigonal bipyramid, and edges with two equivalent FeO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 50°. There are a spread of Fe–O bond distances ranging from 1.92–2.12 Å. In the eighth Fe3+ site, Fe3+ is bonded to six O2- atoms to form distorted FeO6 octahedra that share corners with three FeO5 trigonal bipyramids and edges with three FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.99–2.14 Å. In the ninth Fe3+ site, Fe3+ is bonded to five O2- atoms to form distorted FeO5 trigonal bipyramids that share corners with three FeO6 octahedra and edges with two equivalent FeO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 47–63°. There are a spread of Fe–O bond distances ranging from 1.84–2.16 Å. In the tenth Fe3+ site, Fe3+ is bonded to six O2- atoms to form distorted FeO6 octahedra that share corners with four FeO5 trigonal bipyramids and edges with two FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.96–2.24 Å. In the eleventh Fe3+ site, Fe3+ is bonded to five O2- atoms to form distorted FeO5 trigonal bipyramids that share corners with two FeO6 octahedra, a cornercorner with one FeO5 trigonal bipyramid, and edges with two equivalent FeO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 47–54°. There are a spread of Fe–O bond distances ranging from 1.91–2.15 Å. In the twelfth Fe3+ site, Fe3+ is bonded to five O2- atoms to form distorted FeO5 trigonal bipyramids that share corners with two FeO5 trigonal bipyramids and edges with three FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.91–2.14 Å. In the thirteenth Fe3+ site, Fe3+ is bonded to five O2- atoms to form distorted FeO5 trigonal bipyramids that share corners with three FeO6 octahedra and a cornercorner with one FeO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 45–50°. There are a spread of Fe–O bond distances ranging from 1.91–2.10 Å. In the fourteenth Fe3+ site, Fe3+ is bonded to five O2- atoms to form distorted FeO5 trigonal bipyramids that share a cornercorner with one FeO6 octahedra, corners with five FeO5 trigonal bipyramids, and edges with two equivalent FeO6 octahedra. The corner-sharing octahedral tilt angles are 73°. There are a spread of Fe–O bond distances ranging from 1.91–2.10 Å. In the fifteenth Fe3+ site, Fe3+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share corners with two FeO6 octahedra, a cornercorner with one FeO5 trigonal bipyramid, and edges with two equivalent FeO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 47–62°. There are a spread of Fe–O bond distances ranging from 1.89–2.22 Å. In the sixteenth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with three FeO5 trigonal bipyramids and edges with three FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.94–2.10 Å. There are sixteen 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 1.01 Å. In the second H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.97 Å. In the third 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 fourth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.97 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 0.97 Å. In the seventh 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 eighth 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 ninth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.97 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 0.98 Å. In the twelfth 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 thirteenth 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 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 0.98 Å. There are thirty-two inequivalent O2- sites. In the first O2- site, O2- is bonded in a water-like geometry to two Fe3+ atoms. In the second O2- site, O2- is bonded in a distorted single-bond geometry to three Fe3+ and one H1+ atom. In the third O2- site, O2- is bonded in a 1-coordinate geometry to two Fe3+ and one H1+ atom. In the fourth O2- site, O2- is bonded in a distorted T-shaped geometry to three Fe3+ atoms. In the fifth O2- site, O2- is bonded in a 3-coordinate geometry to two Fe3+ and one H1+ atom. In the sixth O2- site, O2- is bonded in a distorted T-shaped geometry to three Fe3+ atoms. In the seventh O2- site, O2- is bonded in a distorted single-bond geometry to three Fe3+ and one H1+ atom. In the eighth O2- site, O2- is bonded in a trigonal planar geometry to three Fe3+ atoms. In the ninth O2- site, O2- is bonded in a 1-coordinate geometry to two Fe3+ and one H1+ atom. In the tenth O2- site, O2- is bonded in a 4-coordinate geometry to three Fe3+ atoms. In the eleventh O2- site, O2- is bonded in a distorted single-bond geometry to three Fe3+ and one H1+ atom. In the twelfth O2- site, O2- is bonded in a trigonal planar geometry to three Fe3+ atoms. In the thirteenth O2- site, O2- is bonded in a water-like geometry to two Fe3+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted single-bond geometry to three Fe3+ and one H1+ atom. In the fifteenth O2- site, O2- is bonded in a trigonal non-coplanar geometry to three Fe3+ atoms. In the sixteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Fe3+ atoms. In the seventeenth O2- site, O2- is bonded in a 1-coordinate geometry to two Fe3+ and one H1+ atom. In the eighteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Fe3+ atoms. In the nineteenth O2- site, O2- is bonded in a distorted single-bond geometry to three Fe3+ and one H1+ atom. In the twentieth O2- site, O2- is bonded in a distorted single-bond geometry to three Fe3+ and one H1+ atom. In the twenty-first O2- site, O2- is bonded in a water-like geometry to two Fe3+ atoms. In the twenty-second O2- site, O2- is bonded in a distorted single-bond geometry to three Fe3+ and one H1+ atom. In the twenty-third O2- site, O2- is bonded in a trigonal non-coplanar geometry to three Fe3+ atoms. In the twenty-fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Fe3+ atoms. In the twenty-fifth O2- site, O2- is bonded in a distorted water-like geometry to two Fe3+ atoms. In the twenty-sixth O2- site, O2- is bonded in a distorted single-bond geometry to three Fe3+ and one H1+ atom. In the twenty-seventh O2- site, O2- is bonded in a distorted single-bond geometry to two Fe3+ and one H1+ atom. In the twenty-eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Fe3+ atoms. In the twenty-ninth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Fe3+ and one H1+ atom. In the thirtieth O2- site, O2- is bonded in a distorted single-bond geometry to two Fe3+ and one H1+ atom. In the thirty-first O2- site, O2- is bonded in a distorted single-bond geometry to three Fe3+ and one H1+ atom. In the thirty-second O2- site, O2- is bonded in a trigonal planar geometry to three Fe3+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Li3MnV(PO4)3 by Materials Project

Li3VMn(PO4)3 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 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.02–2.54 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with six PO4 tetrahedra, a faceface with one VO6 octahedra, and a faceface with one MnO6 octahedra. There are a spread of Li–O bond distances ranging from 2.20–2.28 Å. In the third Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 1.99–2.58 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with six PO4 tetrahedra, a faceface with one VO6 octahedra, and a faceface with one MnO6 octahedra. There are a spread of Li–O bond distances ranging from 2.17–2.30 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 2.01–2.60 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 2.02–2.59 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 1.98–2.62 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 2.00–2.59 Å. In the ninth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with six PO4 tetrahedra, a faceface with one VO6 octahedra, and a faceface with one MnO6 octahedra. There are a spread of Li–O bond distances ranging from 2.19–2.29 Å. In the tenth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with six PO4 tetrahedra, a faceface with one VO6 octahedra, and a faceface with one MnO6 octahedra. There are a spread of Li–O bond distances ranging from 2.19–2.30 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 2.02–2.60 Å. In the twelfth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 1.99–2.66 Å. There are four 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 and a faceface with one LiO6 octahedra. There are a spread of V–O bond distances ranging from 1.95–2.09 Å. In the second V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and a faceface with one LiO6 octahedra. There are a spread of V–O bond distances ranging from 1.95–2.09 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 a faceface with one LiO6 octahedra. There are a spread of V–O bond distances ranging from 1.94–2.09 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 a faceface with one LiO6 octahedra. There are a spread of V–O bond distances ranging from 1.93–2.08 Å. There are four inequivalent Mn2+ sites. In the first Mn2+ site, Mn2+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with six PO4 tetrahedra and a faceface with one LiO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.93–2.19 Å. In the second Mn2+ site, Mn2+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with six PO4 tetrahedra and a faceface with one LiO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.92–2.19 Å. In the third Mn2+ site, Mn2+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with six PO4 tetrahedra and a faceface with one LiO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.90–2.18 Å. In the fourth Mn2+ site, Mn2+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with six PO4 tetrahedra and a faceface with one LiO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.90–2.19 Å. There are twelve inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with two LiO6 octahedra, and corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 16–50°. There are a spread of P–O bond distances ranging from 1.52–1.58 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with two LiO6 octahedra, and corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 15–49°. There are a spread of P–O bond distances ranging from 1.52–1.57 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one VO6 octahedra, corners with two LiO6 octahedra, and corners with three MnO6 octahedra. The corner-sharing octahedra tilt angles range from 32–48°. There are a spread of P–O bond distances ranging from 1.54–1.57 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, corners with two LiO6 octahedra, and corners with three MnO6 octahedra. The corner-sharing octahedra tilt angles range from 16–49°. There are a spread of P–O bond distances ranging from 1.52–1.59 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one VO6 octahedra, corners with two LiO6 octahedra, and corners with three MnO6 octahedra. The corner-sharing octahedra tilt angles range from 29–48°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with two LiO6 octahedra, and corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 16–50°. There are a spread of P–O bond distances ranging from 1.52–1.58 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one VO6 octahedra, corners with two LiO6 octahedra, and corners with three MnO6 octahedra. The corner-sharing octahedra tilt angles range from 16–49°. There are a spread of P–O bond distances ranging from 1.52–1.58 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with two LiO6 octahedra, and corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 29–48°. There are a spread of P–O bond distances ranging from 1.53–1.57 Å. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with two LiO6 octahedra, and corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 17–49°. There are a spread of P–O bond distances ranging from 1.52–1.57 Å. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with two LiO6 octahedra, and corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 30–47°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one VO6 octahedra, corners with two LiO6 octahedra, and corners with three MnO6 octahedra. The corner-sharing octahedra tilt angles range from 18–50°. There are a spread of P–O bond distances ranging from 1.52–1.59 Å. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one VO6 octahedra, corners with two LiO6 octahedra, and corners with three MnO6 octahedra. The corner-sharing octahedra tilt angles range from 17–49°. There are a spread of P–O bond distances ranging from 1.53–1.58 Å. There are forty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Li1+, one V4+, and one P5+ atom. In the second O2- site, O2- is bonded in a linear geometry to one V4+ and one P5+ atom. In the third O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn2+, and one P5+ atom. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V4+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a distorted linear geometry to one V4+ and one P5+ atom. In the sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Mn2+, and one P5+ atom. In the seventh O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn2+, and one P5+ atom. In the eighth O2- site, O2- is bonded in a 5-coordinate geometry to three Li1+, one V4+, and one P5+ atom. In the ninth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn2+, and one P5+ atom. In the tenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Li1+, one V4+, and one P5+ atom. In the eleventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Li1+, one V4+, and one P5+ atom. In the twelfth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Mn2+, and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Mn2+, and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a distorted linear geometry to one V4+ and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a linear geometry to one V4+ and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V4+, and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn2+, and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Mn2+, and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn2+, and one P5+ atom. In the twentieth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V4+, and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a 5-coordinate geometry to three Li1+, one Mn2+, and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a 5-coordinate geometry to three Li1+, one Mn2+, and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one V4+, and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a 5-coordinate geometry to three Li1+, one V4+, and one P5+ atom. In the twenty-fifth O2- site, O2- is bonded in a 5-coordinate geometry to three Li1+, one Mn2+, and one P5+ atom. In the twenty-sixth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Mn2+, and one P5+ atom. In the twenty-seventh O2- site, O2- is bonded in a 5-coordinate geometry to three Li1+, one V4+, and one P5+ atom. In the twenty-eighth O2- site, O2- is bonded in a 5-coordinate geometry to three Li1+, one V4+, and one P5+ atom. In the twenty-ninth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn2+, and one P5+ atom. In the thirtieth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V4+, and one P5+ atom. In the thirty-first O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Li1+, one V4+, and one P5+ atom. In the thirty-second O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V4+

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 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.95–2.24 Å. In the second Li1+ site, Li1+ is bonded in a distorted see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.94–2.09 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 2.00–2.19 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 1.97–2.25 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 1.91–2.28 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 2.01–2.21 Å. In the seventh 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 2.00–2.09 Å. In the eighth 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 67–69°. There are a spread of Li–O bond distances ranging from 1.86–2.31 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 2.00–2.24 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 1.99–2.20 Å. In the eleventh Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.98–2.59 Å. In the twelfth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 1.93–2.83 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 a cornercorner with one LiO4 tetrahedra, corners with six PO4 tetrahedra, and edges with two LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.87–2.01 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 1.89–2.01 Å. In the third 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 1.86–2.01 Å. In the fourth V4+ site, V4+ 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 1.89–2.02 Å. In the fifth V4+ site, V4+ 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 1.85–2.04 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 1.90–2.06 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 corners with two VO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 35–41°. There are a spread of P–O bond distances ranging from 1.50–1.60 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 LiO4 tetrahedra, 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 1.52–1.61 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, 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 1.51–1.62 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra and a cornercorner with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 32–35°. 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 octahedra tilt angles range from 36–38°. 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 38–43°. 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, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 38–47°. There are a spread of P–O bond distances ranging from 1.52–1.61 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 40–41°. There are a spread of P–O bond distances ranging from 1.52–1.62 Å. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 46–48°. There are a spread of P–O bond distances ranging from 1.49–1.61 Å. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 37–40°. There are a spread of P–O bond distances ranging from 1.50–1.60 Å. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 45–49°. There are a spread of P–O bond distances ranging from 1.49–1.62 Å. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra and a cornercorner with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 30–36°. There are a spread of P–O bond distances ranging from 1.48–1.59 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 31–37°. 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 and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 41–48°. There are a spread of P–O bond distances ranging from 1.50–1.62 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 37–46°. There are a spread of P–O bond distances ranging from 1.52–1.61 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 two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 46–48°. 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 distorted trigonal planar geometry to two Li1+ and one P5+ atom. In the second O2- site, O2- is bonded in a bent 150 degrees geometry to 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 bent 150 degrees geometry to 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 3-coordinate geometry to one Li1+, 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 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 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 3-coordinate 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 3-coordinate geometry to three 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 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 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 3-coordinate geometry to three Li1+ and one P5+ atom. In the thirtieth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V4+, and one P5+ atom. In the thirty-first O2- site, O2- is bonded in a bent 150 degrees geometry to one V4+ and one P5+ atom. In the thir

36 MATERIALS SCIENCE↗

Materials Data on Cs2K2B10O17 by Materials Project

Cs2K2B10O17 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are four inequivalent Cs1+ sites. In the first Cs1+ site, Cs1+ is bonded in a 8-coordinate geometry to nine O2- atoms. There are a spread of Cs–O bond distances ranging from 2.97–3.66 Å. In the second Cs1+ site, Cs1+ is bonded in a 8-coordinate geometry to nine O2- atoms. There are a spread of Cs–O bond distances ranging from 3.00–3.67 Å. In the third Cs1+ site, Cs1+ is bonded in a 8-coordinate geometry to nine O2- atoms. There are a spread of Cs–O bond distances ranging from 2.98–3.67 Å. In the fourth Cs1+ site, Cs1+ is bonded in a 1-coordinate geometry to nine O2- atoms. There are a spread of Cs–O bond distances ranging from 2.94–3.64 Å. There are four inequivalent K1+ sites. In the first K1+ site, K1+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of K–O bond distances ranging from 2.66–3.20 Å. In the second K1+ site, K1+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of K–O bond distances ranging from 2.65–3.19 Å. In the third K1+ site, K1+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of K–O bond distances ranging from 2.66–3.22 Å. In the fourth K1+ site, K1+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of K–O bond distances ranging from 2.67–3.20 Å. There are twenty inequivalent B3+ sites. In the first B3+ site, B3+ is bonded to four O2- atoms to form corner-sharing BO4 tetrahedra. There are a spread of B–O bond distances ranging from 1.45–1.50 Å. In the second B3+ site, B3+ is bonded to four O2- atoms to form corner-sharing BO4 tetrahedra. There are a spread of B–O bond distances ranging from 1.45–1.51 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 1.36–1.41 Å. In the fourth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.37 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 are a spread of B–O bond distances ranging from 1.37–1.40 Å. In the sixth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.37 Å) and one longer (1.40 Å) B–O bond length. In the seventh B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.37 Å) and one longer (1.40 Å) B–O bond length. In the eighth B3+ site, B3+ is bonded to four O2- atoms to form corner-sharing BO4 tetrahedra. There are a spread of B–O bond distances ranging from 1.45–1.51 Å. In the ninth B3+ site, B3+ is bonded to four O2- atoms to form corner-sharing BO4 tetrahedra. There are a spread of B–O bond distances ranging from 1.45–1.51 Å. In the tenth B3+ site, B3+ is bonded to four O2- atoms to form corner-sharing BO4 tetrahedra. There are a spread of B–O bond distances ranging from 1.44–1.51 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 1.36–1.41 Å. In the twelfth B3+ site, B3+ is bonded to four O2- atoms to form corner-sharing BO4 tetrahedra. There is one shorter (1.44 Å) and three longer (1.50 Å) B–O bond length. In the thirteenth 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 1.36–1.41 Å. In the fourteenth 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 1.36–1.41 Å. In the fifteenth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.37 Å) and one longer (1.40 Å) B–O bond length. In the sixteenth B3+ site, B3+ is bonded to four O2- atoms to form corner-sharing BO4 tetrahedra. There is one shorter (1.44 Å) and three longer (1.50 Å) B–O bond length. In the seventeenth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.37 Å) and one longer (1.40 Å) B–O bond length. In the eighteenth 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 1.37–1.40 Å. In the nineteenth B3+ site, B3+ is bonded to four O2- atoms to form corner-sharing BO4 tetrahedra. There are a spread of B–O bond distances ranging from 1.44–1.51 Å. In the twentieth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.37 Å) and one longer (1.40 Å) B–O bond length. There are thirty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a bent 120 degrees geometry to two Cs1+ and two B3+ atoms. In the second O2- site, O2- is bonded in a bent 120 degrees geometry to two Cs1+ and two B3+ atoms. In the third O2- site, O2- is bonded in a bent 120 degrees geometry to two Cs1+ and two B3+ atoms. In the fourth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two K1+ and two B3+ atoms. In the fifth O2- site, O2- is bonded in a bent 120 degrees geometry to two Cs1+ and two B3+ atoms. In the sixth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Cs1+, two K1+, and two B3+ atoms. In the seventh O2- site, O2- is bonded in a bent 120 degrees geometry to two Cs1+ and two B3+ atoms. In the eighth O2- site, O2- is bonded in a bent 120 degrees geometry to one Cs1+, two K1+, and two B3+ atoms. In the ninth O2- site, O2- is bonded in a bent 120 degrees geometry to one Cs1+, two K1+, and two B3+ atoms. In the tenth O2- site, O2- is bonded in a 2-coordinate geometry to one Cs1+, one K1+, and two B3+ atoms. In the eleventh O2- site, O2- is bonded in a 2-coordinate geometry to one Cs1+, one K1+, and two B3+ atoms. In the twelfth O2- site, O2- is bonded in a bent 120 degrees geometry to two Cs1+ and two B3+ atoms. In the thirteenth O2- site, O2- is bonded in a bent 120 degrees geometry to one Cs1+, two K1+, and two B3+ atoms. In the fourteenth O2- site, O2- is bonded in a bent 120 degrees geometry to one Cs1+, one K1+, and two B3+ atoms. In the fifteenth O2- site, O2- is bonded in a bent 120 degrees geometry to one Cs1+, one K1+, and two B3+ atoms. In the sixteenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Cs1+, two K1+, and two B3+ atoms. In the seventeenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two K1+ and two B3+ atoms. In the eighteenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Cs1+, two K1+, and two B3+ atoms. In the nineteenth O2- site, O2- is bonded in a bent 120 degrees geometry to two Cs1+ and two B3+ atoms. In the twentieth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Cs1+, two K1+, and two B3+ atoms. In the twenty-first O2- site, O2- is bonded in a bent 120 degrees geometry to one K1+ and two B3+ atoms. In the twenty-second O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two K1+ and two B3+ atoms. In the twenty-third O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Cs1+, one K1+, and two B3+ atoms. In the twenty-fourth O2- site, O2- is bonded in a bent 120 degrees geometry to two Cs1+ and two B3+ atoms. In the twenty-fifth O2- site, O2- is bonded in a bent 120 degrees geometry to one K1+ and two B3+ atoms. In the twenty-sixth O2- site, O2- is bonded in a 2-coordinate geometry to one Cs1+, one K1+, and two B3+ atoms. In the twenty-seventh O2- site, O2- is bonded in a bent 120 degrees geometry to one Cs1+, two K1+, and two B3+ atoms. In the twenty-eighth O2- site, O2- is bonded in a bent 120 degrees geometry to one Cs1+, one K1+, and two B3+ atoms. In the twenty-ninth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two K1+ and two B3+ atoms. In the thirtieth O2- site, O2- is bonded in a bent 120 degrees geometry to one K1+ and two B3+ atoms. In the thirty-first O2- site, O2- is bonded in a bent 120 degrees geometry to one Cs1+, one K1+, and two B3+ atoms. In the thirty-second O2- site, O2- is bonded in a bent 120 degrees geometry to two Cs1+ and two B3+ atoms. In the thirty-third O2- site, O2- is bonded in a bent 120 degrees geometry to one K1+ and two B3+ atoms. In the thirty-fourth O2- site, O2- is bonded in a bent 120 degrees geometry to two Cs1+ and two B3+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Ta2Co4O9 by Materials Project

Ta2Co4O9 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Ta5+ sites. In the first Ta5+ site, Ta5+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ta–O bond distances ranging from 1.87–2.27 Å. In the second Ta5+ site, Ta5+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ta–O bond distances ranging from 1.87–2.28 Å. In the third Ta5+ site, Ta5+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ta–O bond distances ranging from 1.87–2.28 Å. In the fourth Ta5+ site, Ta5+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ta–O bond distances ranging from 1.87–2.27 Å. In the fifth Ta5+ site, Ta5+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ta–O bond distances ranging from 1.86–2.28 Å. In the sixth Ta5+ site, Ta5+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ta–O bond distances ranging from 1.87–2.27 Å. In the seventh Ta5+ site, Ta5+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ta–O bond distances ranging from 1.87–2.28 Å. In the eighth Ta5+ site, Ta5+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ta–O bond distances ranging from 1.87–2.28 Å. There are sixteen inequivalent Co2+ sites. In the first Co2+ site, Co2+ is bonded to six O2- atoms to form a mixture of distorted edge, corner, and face-sharing CoO6 octahedra. The corner-sharing octahedra tilt angles range from 47–67°. There are a spread of Co–O bond distances ranging from 2.03–2.29 Å. In the second Co2+ site, Co2+ is bonded to six O2- atoms to form a mixture of distorted edge, corner, and face-sharing CoO6 octahedra. The corner-sharing octahedra tilt angles range from 46–67°. There are a spread of Co–O bond distances ranging from 2.03–2.29 Å. In the third Co2+ site, Co2+ is bonded to six O2- atoms to form a mixture of edge, corner, and face-sharing CoO6 octahedra. The corner-sharing octahedra tilt angles range from 47–48°. There are a spread of Co–O bond distances ranging from 2.02–2.32 Å. In the fourth Co2+ site, Co2+ is bonded to six O2- atoms to form a mixture of edge, corner, and face-sharing CoO6 octahedra. The corner-sharing octahedra tilt angles range from 46–48°. There are a spread of Co–O bond distances ranging from 2.01–2.32 Å. In the fifth Co2+ site, Co2+ is bonded to six O2- atoms to form a mixture of edge, corner, and face-sharing CoO6 octahedra. The corner-sharing octahedra tilt angles range from 47–48°. There are a spread of Co–O bond distances ranging from 2.02–2.32 Å. In the sixth Co2+ site, Co2+ is bonded to six O2- atoms to form a mixture of edge, corner, and face-sharing CoO6 octahedra. The corner-sharing octahedra tilt angles range from 46–48°. There are a spread of Co–O bond distances ranging from 2.01–2.32 Å. In the seventh Co2+ site, Co2+ is bonded to six O2- atoms to form a mixture of edge, corner, and face-sharing CoO6 octahedra. The corner-sharing octahedra tilt angles range from 47–66°. There are a spread of Co–O bond distances ranging from 2.03–2.27 Å. In the eighth Co2+ site, Co2+ is bonded to six O2- atoms to form a mixture of edge, corner, and face-sharing CoO6 octahedra. The corner-sharing octahedra tilt angles range from 46–66°. There are a spread of Co–O bond distances ranging from 2.03–2.27 Å. In the ninth Co2+ site, Co2+ is bonded to six O2- atoms to form a mixture of distorted edge, corner, and face-sharing CoO6 octahedra. The corner-sharing octahedra tilt angles range from 46–67°. There are a spread of Co–O bond distances ranging from 2.03–2.29 Å. In the tenth Co2+ site, Co2+ is bonded to six O2- atoms to form a mixture of distorted edge, corner, and face-sharing CoO6 octahedra. The corner-sharing octahedra tilt angles range from 46–67°. There are a spread of Co–O bond distances ranging from 2.03–2.30 Å. In the eleventh Co2+ site, Co2+ is bonded to six O2- atoms to form a mixture of edge, corner, and face-sharing CoO6 octahedra. The corner-sharing octahedra tilt angles range from 47–48°. There are a spread of Co–O bond distances ranging from 2.01–2.32 Å. In the twelfth Co2+ site, Co2+ is bonded to six O2- atoms to form a mixture of edge, corner, and face-sharing CoO6 octahedra. The corner-sharing octahedra tilt angles range from 46–48°. There are a spread of Co–O bond distances ranging from 2.01–2.32 Å. In the thirteenth Co2+ site, Co2+ is bonded to six O2- atoms to form a mixture of edge, corner, and face-sharing CoO6 octahedra. The corner-sharing octahedra tilt angles range from 46–48°. There are a spread of Co–O bond distances ranging from 2.02–2.31 Å. In the fourteenth Co2+ site, Co2+ is bonded to six O2- atoms to form a mixture of edge, corner, and face-sharing CoO6 octahedra. The corner-sharing octahedra tilt angles range from 46–48°. There are a spread of Co–O bond distances ranging from 2.01–2.31 Å. In the fifteenth Co2+ site, Co2+ is bonded to six O2- atoms to form a mixture of edge, corner, and face-sharing CoO6 octahedra. The corner-sharing octahedra tilt angles range from 46–66°. There are a spread of Co–O bond distances ranging from 2.03–2.27 Å. In the sixteenth Co2+ site, Co2+ is bonded to six O2- atoms to form a mixture of edge, corner, and face-sharing CoO6 octahedra. The corner-sharing octahedra tilt angles range from 47–66°. There are a spread of Co–O bond distances ranging from 2.04–2.27 Å. There are thirty-six inequivalent O2- sites. In the first O2- site, O2- is bonded to two Ta5+ and two Co2+ atoms to form a mixture of distorted edge and corner-sharing OTa2Co2 trigonal pyramids. In the second O2- site, O2- is bonded to two Ta5+ and two Co2+ atoms to form a mixture of distorted edge and corner-sharing OTa2Co2 trigonal pyramids. In the third O2- site, O2- is bonded in a distorted trigonal planar geometry to one Ta5+ and two Co2+ atoms. In the fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Ta5+ and two Co2+ atoms. In the fifth O2- site, O2- is bonded in a 4-coordinate geometry to one Ta5+ and three Co2+ atoms. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to one Ta5+ and three Co2+ atoms. In the seventh O2- site, O2- is bonded in a 5-coordinate geometry to one Ta5+ and four Co2+ atoms. In the eighth O2- site, O2- is bonded in a 5-coordinate geometry to one Ta5+ and four Co2+ atoms. In the ninth O2- site, O2- is bonded to two Ta5+ and two Co2+ atoms to form a mixture of distorted edge and corner-sharing OTa2Co2 trigonal pyramids. In the tenth O2- site, O2- is bonded to two Ta5+ and two Co2+ atoms to form a mixture of distorted edge and corner-sharing OTa2Co2 trigonal pyramids. In the eleventh O2- site, O2- is bonded in a 5-coordinate geometry to one Ta5+ and four Co2+ atoms. In the twelfth O2- site, O2- is bonded in a 5-coordinate geometry to one Ta5+ and four Co2+ atoms. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Ta5+ and three Co2+ atoms. In the fourteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Ta5+ and three Co2+ atoms. In the fifteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Ta5+ and two Co2+ atoms. In the sixteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Ta5+ and two Co2+ atoms. In the seventeenth O2- site, O2- is bonded to two Ta5+ and two Co2+ atoms to form a mixture of distorted edge and corner-sharing OTa2Co2 trigonal pyramids. In the eighteenth O2- site, O2- is bonded to two Ta5+ and two Co2+ atoms to form a mixture of distorted edge and corner-sharing OTa2Co2 trigonal pyramids. In the nineteenth O2- site, O2- is bonded to two Ta5+ and two Co2+ atoms to form a mixture of distorted edge and corner-sharing OTa2Co2 trigonal pyramids. In the twentieth O2- site, O2- is bonded to two Ta5+ and two Co2+ atoms to form a mixture of distorted edge and corner-sharing OTa2Co2 trigonal pyramids. In the twenty-first O2- site, O2- is bonded in a distorted trigonal planar geometry to one Ta5+ and two Co2+ atoms. In the twenty-second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Ta5+ and two Co2+ atoms. In the twenty-third O2- site, O2- is bonded in a 4-coordinate geometry to one Ta5+ and three Co2+ atoms. In the twenty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to one Ta5+ and three Co2+ atoms. In the twenty-fifth O2- site, O2- is bonded in a 5-coordinate geometry to one Ta5+ and four Co2+ atoms. In the twenty-sixth O2- site, O2- is bonded in a 5-coordinate geometry to one Ta5+ and four Co2+ atoms. In the twenty-seventh O2- site, O2- is bonded to two Ta5+ and two Co2+ atoms to form a mixture of distorted edge and corner-sharing OTa2Co2 trigonal pyramids. In the twenty-eighth O2- site, O2- is bonded to two Ta5+ and two Co2+ atoms to form a mixture of distorted edge and corner-sharing OTa2Co2 trigonal pyramids. In the twenty-ninth O2- site, O2- is bonded in a 5-coordinate geometry to one Ta5+ and four Co2+ atoms. In the thirtieth O2- site, O2- is bonded in a 5-coordinate geometry to one Ta5+ and four Co2+ atoms. In the thirty-first O2- site, O2- is bonded in a 4-coordinate geometry to one Ta5+ and three Co2+ atoms. In the thirty-second O2- site, O2- is bonded in a 4-coordinate geometry to one Ta5+ and three Co2+ atoms. In the thirty-third O2- site, O2- is bonded in a distorted trigonal planar geometry to one Ta5+ and two Co2+ atoms. In the thirty-fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Ta5+ and two Co2+ atoms. In the thirty-fifth O2- site, O2- is bonded to two Ta5+ and two Co2+ atoms to form a mixture of distorted edge and corner-sharing OTa2Co2 trigonal pyramids. In the thirty-sixth O2- site, O2- is bonded to two Ta5+ and two Co2+ atoms to form a mixture of distorted edge and corner-sharing OTa2Co2 trigonal pyramids.

36 MATERIALS SCIENCE↗

Materials Data on Ba2Pb(SO4)3 by Materials Project

Ba2Pb(SO4)3 crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are eight 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 2.77–3.09 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 2.78–3.09 Å. In the third Ba2+ site, Ba2+ is bonded in a 12-coordinate geometry to twelve O2- atoms. There are a spread of Ba–O bond distances ranging from 2.76–3.35 Å. In the fourth Ba2+ site, Ba2+ is bonded in a 12-coordinate geometry to twelve O2- atoms. There are a spread of Ba–O bond distances ranging from 2.80–3.35 Å. In the fifth 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 2.80–3.10 Å. In the sixth 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 2.73–3.12 Å. In the seventh 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 2.72–3.11 Å. In the eighth 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 2.77–3.13 Å. There are four 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 2.67–3.08 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 2.72–3.09 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 2.71–3.09 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 2.71–3.07 Å. There are twelve 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 1.47–1.52 Å. In the second S6+ site, S6+ is bonded in a tetrahedral geometry to four O2- atoms. There is two shorter (1.48 Å) and two longer (1.51 Å) S–O bond length. In the third S6+ site, S6+ is bonded in a tetrahedral geometry to four O2- atoms. There is two shorter (1.48 Å) and two longer (1.51 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 1.47–1.52 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 1.47–1.51 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 is one shorter (1.48 Å) and three longer (1.50 Å) S–O bond length. 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 1.48–1.51 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 1.48–1.50 Å. In the tenth 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 eleventh 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 twelfth 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. There are thirty-six inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted single-bond geometry to one Ba2+ and one S6+ atom. In the second O2- site, O2- is bonded in a distorted single-bond geometry to one Ba2+ and one S6+ atom. In the third O2- site, O2- is bonded in a distorted single-bond geometry to one Ba2+ and one S6+ atom. In the fourth O2- site, O2- is bonded in a distorted single-bond geometry to one Ba2+ and one S6+ atom. In the fifth O2- site, O2- is bonded in a distorted single-bond geometry to one Ba2+ and one S6+ atom. In the sixth O2- site, O2- is bonded in a distorted single-bond geometry to one Ba2+ and one S6+ atom. In the seventh O2- site, O2- is bonded in a single-bond geometry to one Pb2+ and one S6+ atom. In the eighth O2- site, O2- is bonded in a single-bond geometry to one Pb2+ and one S6+ atom. In the ninth O2- site, O2- is bonded in a single-bond geometry to one Pb2+ and one S6+ atom. In the tenth O2- site, O2- is bonded in a distorted single-bond geometry to three Ba2+ and one S6+ atom. In the eleventh O2- site, O2- is bonded in a distorted single-bond geometry to three Ba2+ 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 one Ba2+, two Pb2+, and one S6+ atom. In the fourteenth O2- site, O2- is bonded in a distorted single-bond geometry to two Ba2+, one Pb2+, and one S6+ atom. In the fifteenth O2- site, O2- is bonded in a distorted single-bond geometry to two Ba2+, one Pb2+, and one S6+ atom. In the sixteenth O2- site, O2- is bonded in a single-bond geometry to one Ba2+, two Pb2+, and one S6+ atom. In the seventeenth O2- site, O2- is bonded in a distorted single-bond geometry to two Ba2+, one Pb2+, and one S6+ atom. In the eighteenth O2- site, O2- is bonded in a distorted single-bond geometry to two Ba2+, one Pb2+, and one S6+ atom. In the nineteenth O2- site, O2- is bonded in a distorted single-bond geometry to three Ba2+ and one S6+ atom. In the twentieth O2- site, O2- is bonded in a distorted single-bond geometry to three Ba2+ and one S6+ atom. In the twenty-first O2- site, O2- is bonded in a distorted single-bond geometry to two Ba2+, one Pb2+, and one S6+ atom. In the twenty-second O2- site, O2- is bonded in a distorted single-bond geometry to two Ba2+, one Pb2+, and one S6+ atom. In the twenty-third O2- site, O2- is bonded in a distorted single-bond geometry to two Ba2+, one Pb2+, and one S6+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted single-bond geometry to two Ba2+, one Pb2+, and one S6+ atom. In the twenty-fifth O2- site, O2- is bonded in a distorted single-bond geometry to one Ba2+, two equivalent Pb2+, and one S6+ atom. In the twenty-sixth O2- site, O2- is bonded in a distorted single-bond geometry to one Ba2+, two equivalent Pb2+, and one S6+ atom. In the twenty-seventh O2- site, O2- is bonded in a distorted single-bond geometry to one Ba2+, two equivalent Pb2+, and one S6+ atom. In the twenty-eighth O2- site, O2- is bonded in a distorted single-bond geometry to one Ba2+, two equivalent Pb2+, and one S6+ atom. In the twenty-ninth O2- site, O2- is bonded in a distorted single-bond geometry to three Ba2+ and one S6+ atom. In the thirtieth O2- site, O2- is bonded in a distorted single-bond geometry to three Ba2+ and one S6+ atom. In the thirty-first O2- site, O2- is bonded in a single-bond geometry to two equivalent Ba2+, one Pb2+, and one S6+ atom. In the thirty-second O2- site, O2- is bonded in a distorted single-bond geometry to three Ba2+ and one S6+ atom. In the thirty-third O2- site, O2- is bonded in a distorted single-bond geometry to three Ba2+ and one S6+ atom. In the thirty-fourth O2- site, O2- is bonded in a single-bond geometry to two equivalent Ba2+, one Pb2+, and one S6+ atom. In the thirty-fifth O2- site, O2- is bonded in a single-bond geometry to two equivalent Ba2+, one Pb2+, and one S6+ atom. In the thirty-sixth O2- site, O2- is bonded in a distorted single-bond geometry to two equivalent Ba2+, one Pb2+, and one S6+ atom.

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 1.98–2.21 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four PO4 tetrahedra and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.89–2.20 Å. In the third 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 1.94–2.27 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 1.88–2.32 Å. In the fifth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.89–2.19 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 1.98–2.18 Å. In the seventh Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.94–2.29 Å. In the eighth 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 1.97–2.16 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 and an edgeedge with one LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.83–1.98 Å. In the second V+4.67+ site, V+4.67+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.84–1.97 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 1.87–2.00 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 an edgeedge with one LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.84–2.00 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 1.82–1.99 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 edges with two LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.84–2.01 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 octahedra tilt angles range from 38–42°. There are a spread of P–O bond distances ranging from 1.47–1.64 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 39–46°. There are a spread of P–O bond distances ranging from 1.48–1.61 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 35–37°. There are a spread of P–O bond distances ranging from 1.47–1.63 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 corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 30–34°. There are a spread of P–O bond distances ranging from 1.48–1.61 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 34–37°. 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 PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 40–47°. There are a spread of P–O bond distances ranging from 1.51–1.60 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 38–46°. There are a spread of P–O bond distances ranging from 1.48–1.64 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 40–42°. 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, a cornercorner with one LiO4 tetrahedra, 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 1.48–1.62 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 1.49–1.60 Å. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 37–38°. There are a spread of P–O bond distances ranging from 1.47–1.63 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 30–33°. 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 LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 43–48°. There are a spread of P–O bond distances ranging from 1.51–1.60 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 40–45°. There are a spread of P–O bond distances ranging from 1.48–1.63 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 40–47°. There are a spread of P–O bond distances ranging from 1.50–1.61 Å. There are fifty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a trigonal planar geometry to two Li1+ and one P5+ atom. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+4.67+, 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 distorted trigonal planar geometry to one Li1+, 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 distorted 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 trigonal planar 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+4.67+ and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one V+4.67+, and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a 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 bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the twenty-seventh O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two P5+ atoms. In the twenty-eighth O2- site, O2- is bonded in a bent 120 degrees geometry to one Li1+ and one P5+ atom. In the twenty-ninth O2- site, O2- is bonded in a bent 120 degrees geometry to one 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 bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the thirty-third O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ an

36 MATERIALS SCIENCE↗

Materials Data on FeHO2 by Materials Project

FeOOH crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are sixteen inequivalent Fe3+ sites. In the first Fe3+ site, Fe3+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 48–54°. There are a spread of Fe–O bond distances ranging from 1.93–2.11 Å. In the second Fe3+ site, Fe3+ is bonded to six O2- atoms to form a mixture of distorted corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Fe–O bond distances ranging from 1.91–2.20 Å. In the third Fe3+ site, Fe3+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 49–57°. There are a spread of Fe–O bond distances ranging from 1.97–2.17 Å. In the fourth Fe3+ site, Fe3+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Fe–O bond distances ranging from 1.87–2.16 Å. In the fifth Fe3+ site, Fe3+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 50–52°. There are a spread of Fe–O bond distances ranging from 1.96–2.13 Å. In the sixth Fe3+ site, Fe3+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 49–53°. There are a spread of Fe–O bond distances ranging from 1.91–2.09 Å. In the seventh Fe3+ site, Fe3+ is bonded to six O2- atoms to form a mixture of distorted corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 50–57°. There are a spread of Fe–O bond distances ranging from 1.93–2.24 Å. In the eighth Fe3+ site, Fe3+ is bonded to six O2- atoms to form a mixture of distorted corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 51–58°. There are a spread of Fe–O bond distances ranging from 1.94–2.20 Å. In the ninth Fe3+ site, Fe3+ is bonded to six O2- atoms to form a mixture of distorted corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 49–58°. There are a spread of Fe–O bond distances ranging from 1.93–2.20 Å. In the tenth Fe3+ site, Fe3+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 50–52°. There are a spread of Fe–O bond distances ranging from 1.90–2.05 Å. In the eleventh Fe3+ site, Fe3+ is bonded to six O2- atoms to form a mixture of distorted corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 49–61°. There are a spread of Fe–O bond distances ranging from 1.91–2.17 Å. In the twelfth Fe3+ site, Fe3+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Fe–O bond distances ranging from 1.94–2.13 Å. In the thirteenth Fe3+ site, Fe3+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 51–54°. There are a spread of Fe–O bond distances ranging from 1.96–2.20 Å. In the fourteenth Fe3+ site, Fe3+ is bonded to six O2- atoms to form a mixture of distorted corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 57–61°. There are a spread of Fe–O bond distances ranging from 1.91–2.48 Å. In the fifteenth Fe3+ site, Fe3+ is bonded to six O2- atoms to form a mixture of distorted corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 50–58°. There are a spread of Fe–O bond distances ranging from 1.92–2.22 Å. In the sixteenth Fe3+ site, Fe3+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 48–54°. There are a spread of Fe–O bond distances ranging from 1.91–2.10 Å. There are sixteen 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 0.97 Å. In the second H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.97 Å. In the third H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.97 Å. In the fourth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.97 Å. In the fifth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.97 Å. In the sixth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.97 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 single-bond geometry to one O2- atom. The H–O bond length is 0.97 Å. In the ninth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.97 Å. In the tenth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.97 Å. In the eleventh H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.97 Å. In the twelfth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.98 Å. In the thirteenth 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 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 0.97 Å. In the sixteenth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.97 Å. There are thirty-two inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted single-bond geometry to three Fe3+ and one H1+ atom. In the second O2- site, O2- is bonded in a trigonal planar geometry to three Fe3+ atoms. In the third O2- site, O2- is bonded in a distorted single-bond geometry to three Fe3+ and one H1+ atom. In the fourth O2- site, O2- is bonded in a trigonal planar geometry to three Fe3+ atoms. In the fifth O2- site, O2- is bonded in a trigonal non-coplanar geometry to three Fe3+ atoms. In the sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Fe3+ atoms. In the seventh O2- site, O2- is bonded in a distorted single-bond geometry to three Fe3+ and one H1+ atom. In the eighth O2- site, O2- is bonded in a trigonal planar geometry to three Fe3+ atoms. In the ninth O2- site, O2- is bonded in a distorted single-bond geometry to three Fe3+ and one H1+ atom. In the tenth O2- site, O2- is bonded in a trigonal planar geometry to three Fe3+ atoms. In the eleventh O2- site, O2- is bonded in a distorted single-bond geometry to three Fe3+ and one H1+ atom. In the twelfth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Fe3+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted single-bond geometry to three Fe3+ and one H1+ atom. In the fourteenth O2- site, O2- is bonded in a trigonal planar geometry to three Fe3+ atoms. In the fifteenth O2- site, O2- is bonded in a distorted single-bond geometry to three Fe3+ and one H1+ atom. In the sixteenth O2- site, O2- is bonded in a trigonal planar geometry to three Fe3+ atoms. In the seventeenth O2- site, O2- is bonded in a distorted single-bond geometry to three Fe3+ and one H1+ atom. In the eighteenth O2- site, O2- is bonded in a trigonal planar geometry to three Fe3+ atoms. In the nineteenth O2- site, O2- is bonded in a distorted single-bond geometry to three Fe3+ and one H1+ atom. In the twentieth O2- site, O2- is bonded in a trigonal planar geometry to three Fe3+ atoms. In the twenty-first O2- site, O2- is bonded in a distorted single-bond geometry to three Fe3+ and one H1+ atom. In the twenty-second O2- site, O2- is bonded in a trigonal planar geometry to three Fe3+ atoms. In the twenty-third O2- site, O2- is bonded in a distorted single-bond geometry to three Fe3+ and one H1+ atom. In the twenty-fourth O2- site, O2- is bonded in a trigonal planar geometry to three Fe3+ atoms. In the twenty-fifth O2- site, O2- is bonded in a distorted single-bond geometry to three Fe3+ and one H1+ atom. In the twenty-sixth O2- site, O2- is bonded in a trigonal planar geometry to three Fe3+ atoms. In the twenty-seventh O2- site, O2- is bonded in a water-like geometry to one Fe3+ and two H1+ atoms. In the twenty-eighth O2- site, O2- is bonded in a trigonal planar geometry to three Fe3+ atoms. In the twenty-ninth O2- site, O2- is bonded in a distorted single-bond geometry to three Fe3+ and one H1+ atom. In the thirtieth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Fe3+ atoms. In the thirty-first O2- site, O2- is bonded in a distorted single-bond geometry to three Fe3+ and one H1+ atom. In the thirty-second O2- site, O2- is bonded in a trigonal planar geometry to three Fe3+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Ba2Pb(SO4)3 by Materials Project

Ba2Pb(SO4)3 crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are eight 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 2.77–3.09 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 2.77–3.09 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 2.75–3.12 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 2.79–3.11 Å. In the fifth 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 2.79–3.11 Å. In the sixth 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 2.76–3.12 Å. In the seventh 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 2.74–3.12 Å. In the eighth 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 2.74–3.12 Å. There are four 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 2.71–3.10 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 2.73–3.10 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 2.73–3.09 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 2.72–3.09 Å. There are twelve inequivalent S6+ sites. In the first S6+ site, S6+ is bonded in a tetrahedral geometry to four O2- atoms. There is two shorter (1.48 Å) and two longer (1.51 Å) S–O bond length. In the second S6+ site, S6+ is bonded in a tetrahedral geometry to four O2- atoms. There is two shorter (1.48 Å) and two longer (1.51 Å) S–O bond length. In the third S6+ site, S6+ is bonded in a tetrahedral geometry to four O2- atoms. There are a spread of S–O bond distances ranging from 1.48–1.52 Å. 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 1.47–1.52 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 1.47–1.51 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 is one shorter (1.48 Å) and three longer (1.50 Å) S–O bond length. 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 1.48–1.51 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 1.48–1.51 Å. In the tenth 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 eleventh 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 twelfth 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. There are thirty-six inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted single-bond geometry to one Ba2+, two equivalent Pb2+, and one S6+ atom. In the second O2- site, O2- is bonded in a distorted single-bond geometry to one Ba2+, two equivalent Pb2+, and one S6+ atom. In the third O2- site, O2- is bonded in a distorted single-bond geometry to one Ba2+, two equivalent Pb2+, and one S6+ atom. In the fourth O2- site, O2- is bonded in a distorted single-bond geometry to one Ba2+, two equivalent Pb2+, and one S6+ atom. In the fifth O2- site, O2- is bonded in a distorted single-bond geometry to three Ba2+ and one S6+ atom. In the sixth O2- site, O2- is bonded in a distorted single-bond geometry to three Ba2+ and one S6+ atom. In the seventh O2- site, O2- is bonded in a distorted single-bond geometry to two equivalent Ba2+, one Pb2+, and one S6+ atom. In the eighth O2- site, O2- is bonded in a distorted single-bond geometry to three Ba2+ and one S6+ atom. In the ninth O2- site, O2- is bonded in a distorted single-bond geometry to three Ba2+ and one S6+ atom. In the tenth O2- site, O2- is bonded in a single-bond geometry to two equivalent Ba2+, one Pb2+, and one S6+ atom. In the eleventh O2- site, O2- is bonded in a single-bond geometry to two equivalent Ba2+, one Pb2+, and one S6+ atom. In the twelfth O2- site, O2- is bonded in a single-bond geometry to two equivalent Ba2+, one Pb2+, and one S6+ atom. In the thirteenth O2- site, O2- is bonded in a distorted single-bond geometry to two Ba2+, one Pb2+, and one S6+ atom. In the fourteenth O2- site, O2- is bonded in a distorted single-bond geometry to two Ba2+, one Pb2+, and one S6+ atom. In the fifteenth O2- site, O2- is bonded in a single-bond geometry to one Ba2+, two Pb2+, and one S6+ atom. In the sixteenth O2- site, O2- is bonded in a single-bond geometry to one Ba2+, two Pb2+, and one S6+ atom. In the seventeenth O2- site, O2- is bonded in a distorted single-bond geometry to two Ba2+, one Pb2+, and one S6+ atom. In the eighteenth O2- site, O2- is bonded in a distorted single-bond geometry to two Ba2+, one Pb2+, and one S6+ atom. In the nineteenth O2- site, O2- is bonded in a distorted single-bond geometry to two Ba2+, one Pb2+, and one S6+ atom. In the twentieth O2- site, O2- is bonded in a distorted single-bond geometry to three Ba2+ and one S6+ atom. In the twenty-first O2- site, O2- is bonded in a distorted single-bond geometry to three Ba2+ and one S6+ atom. In the twenty-second O2- site, O2- is bonded in a distorted single-bond geometry to two Ba2+, one Pb2+, and one S6+ atom. In the twenty-third O2- site, O2- is bonded in a distorted single-bond geometry to two Ba2+, one Pb2+, and one S6+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted single-bond geometry to two Ba2+, one Pb2+, and one S6+ atom. In the twenty-fifth O2- site, O2- is bonded in a distorted single-bond geometry to one Ba2+ and one S6+ atom. In the twenty-sixth O2- site, O2- is bonded in a distorted single-bond geometry to one Ba2+ and one S6+ atom. In the twenty-seventh O2- site, O2- is bonded in a distorted single-bond geometry to one Ba2+ and one S6+ atom. In the twenty-eighth O2- site, O2- is bonded in a distorted single-bond geometry to one Ba2+ and one S6+ atom. In the twenty-ninth O2- site, O2- is bonded in a distorted single-bond geometry to one Ba2+ and one S6+ atom. In the thirtieth O2- site, O2- is bonded in a distorted single-bond geometry to one Ba2+ and one S6+ atom. In the thirty-first O2- site, O2- is bonded in a single-bond geometry to one Pb2+ and one S6+ atom. In the thirty-second O2- site, O2- is bonded in a single-bond geometry to one Pb2+ and one S6+ atom. In the thirty-third O2- site, O2- is bonded in a single-bond geometry to one Pb2+ and one S6+ atom. In the thirty-fourth O2- site, O2- is bonded in a single-bond geometry to one Pb2+ and one S6+ atom. In the thirty-fifth O2- site, O2- is bonded in a distorted single-bond geometry to one Ba2+ and one S6+ atom. In the thirty-sixth O2- site, O2- is bonded in a distorted single-bond geometry to one Ba2+ and one S6+ atom.

36 MATERIALS SCIENCE↗

Materials Data on MnHO2 by Materials Project

MnOOH crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are sixteen inequivalent Mn3+ sites. In the first Mn3+ site, Mn3+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 52–53°. There are a spread of Mn–O bond distances ranging from 1.93–2.41 Å. In the second Mn3+ site, Mn3+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 52–53°. There are a spread of Mn–O bond distances ranging from 1.93–2.41 Å. In the third Mn3+ site, Mn3+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 52–53°. There are a spread of Mn–O bond distances ranging from 1.93–2.41 Å. In the fourth Mn3+ site, Mn3+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 52–53°. There are a spread of Mn–O bond distances ranging from 1.93–2.41 Å. In the fifth Mn3+ site, Mn3+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 52–53°. There are a spread of Mn–O bond distances ranging from 1.93–2.41 Å. In the sixth Mn3+ site, Mn3+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 52–53°. There are a spread of Mn–O bond distances ranging from 1.93–2.41 Å. In the seventh Mn3+ site, Mn3+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 52–53°. There are a spread of Mn–O bond distances ranging from 1.93–2.41 Å. In the eighth Mn3+ site, Mn3+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 52–53°. There are a spread of Mn–O bond distances ranging from 1.93–2.40 Å. In the ninth Mn3+ site, Mn3+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 52–53°. There are a spread of Mn–O bond distances ranging from 1.93–2.38 Å. In the tenth Mn3+ site, Mn3+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 52–53°. There are a spread of Mn–O bond distances ranging from 1.93–2.37 Å. In the eleventh Mn3+ site, Mn3+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 52–53°. There are a spread of Mn–O bond distances ranging from 1.93–2.39 Å. In the twelfth Mn3+ site, Mn3+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 52–53°. There are a spread of Mn–O bond distances ranging from 1.93–2.39 Å. In the thirteenth Mn3+ site, Mn3+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 52–53°. There are a spread of Mn–O bond distances ranging from 1.93–2.39 Å. In the fourteenth Mn3+ site, Mn3+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 52–53°. There are a spread of Mn–O bond distances ranging from 1.93–2.39 Å. In the fifteenth Mn3+ site, Mn3+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 52–53°. There are a spread of Mn–O bond distances ranging from 1.93–2.38 Å. In the sixteenth Mn3+ site, Mn3+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 52–53°. There are a spread of Mn–O bond distances ranging from 1.93–2.38 Å. There are sixteen 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 0.98 Å. In the second H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.98 Å. In the third H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.97 Å. In the fourth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.97 Å. In the fifth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.98 Å. In the sixth 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 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 single-bond geometry to one O2- atom. The H–O bond length is 0.98 Å. In the ninth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.97 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 0.97 Å. In the twelfth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.97 Å. In the thirteenth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.97 Å. In the fourteenth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.97 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 0.98 Å. There are thirty-two inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn3+ atoms. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn3+ atoms. In the third O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn3+ atoms. In the fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn3+ atoms. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn3+ atoms. In the sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn3+ atoms. In the seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn3+ atoms. In the eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn3+ atoms. In the ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn3+ atoms. In the tenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn3+ atoms. In the eleventh O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn3+ atoms. In the twelfth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn3+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn3+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn3+ atoms. In the fifteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn3+ atoms. In the sixteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn3+ atoms. In the seventeenth O2- site, O2- is bonded in a distorted single-bond geometry to three Mn3+ and one H1+ atom. In the eighteenth O2- site, O2- is bonded in a distorted single-bond geometry to three Mn3+ and one H1+ atom. In the nineteenth O2- site, O2- is bonded in a distorted single-bond geometry to three Mn3+ and one H1+ atom. In the twentieth O2- site, O2- is bonded in a distorted single-bond geometry to three Mn3+ and one H1+ atom. In the twenty-first O2- site, O2- is bonded in a distorted single-bond geometry to three Mn3+ and one H1+ atom. In the twenty-second O2- site, O2- is bonded in a distorted single-bond geometry to three Mn3+ and one H1+ atom. In the twenty-third O2- site, O2- is bonded in a distorted single-bond geometry to three Mn3+ and one H1+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted single-bond geometry to three Mn3+ and one H1+ atom. In the twenty-fifth O2- site, O2- is bonded in a distorted single-bond geometry to three Mn3+ and one H1+ atom. In the twenty-sixth O2- site, O2- is bonded in a distorted single-bond geometry to three Mn3+ and one H1+ atom. In the twenty-seventh O2- site, O2- is bonded in a distorted single-bond geometry to three Mn3+ and one H1+ atom. In the twenty-eighth O2- site, O2- is bonded in a distorted single-bond geometry to three Mn3+ and one H1+ atom. In the twenty-ninth O2- site, O2- is bonded in a distorted single-bond geometry to three Mn3+ and one H1+ atom. In the thirtieth O2- site, O2- is bonded in a distorted single-bond geometry to three Mn3+ and one H1+ atom. In the thirty-first O2- site, O2- is bonded in a distorted single-bond geometry to three Mn3+ and one H1+ atom. In the thirty-second O2- site, O2- is bonded in a distorted single-bond geometry to three Mn3+ and one H1+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Sr8Cu(WO6)3 by Materials Project

Sr8CuW3O18 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are sixteen inequivalent Sr2+ sites. In the first Sr2+ site, Sr2+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Sr–O bond distances ranging from 2.45–2.68 Å. In the second Sr2+ site, Sr2+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Sr–O bond distances ranging from 2.53–2.65 Å. In the third Sr2+ site, Sr2+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Sr–O bond distances ranging from 2.47–2.78 Å. In the fourth Sr2+ site, Sr2+ is bonded to six O2- atoms to form distorted SrO6 pentagonal pyramids that share corners with three SrO6 octahedra and edges with three WO6 octahedra. The corner-sharing octahedra tilt angles range from 73–75°. There are a spread of Sr–O bond distances ranging from 2.51–2.59 Å. In the fifth Sr2+ site, Sr2+ is bonded to six O2- atoms to form distorted SrO6 pentagonal pyramids that share corners with three SrO6 octahedra and edges with three WO6 octahedra. The corner-sharing octahedral tilt angles are 72°. There are a spread of Sr–O bond distances ranging from 2.51–2.59 Å. In the sixth Sr2+ site, Sr2+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Sr–O bond distances ranging from 2.46–2.76 Å. In the seventh Sr2+ site, Sr2+ is bonded in a 3-coordinate geometry to ten O2- atoms. There are a spread of Sr–O bond distances ranging from 2.46–3.27 Å. In the eighth Sr2+ site, Sr2+ is bonded in a 3-coordinate geometry to nine O2- atoms. There are a spread of Sr–O bond distances ranging from 2.53–3.19 Å. In the ninth Sr2+ site, Sr2+ is bonded in a 3-coordinate geometry to seven O2- atoms. There are a spread of Sr–O bond distances ranging from 2.50–3.00 Å. In the tenth Sr2+ site, Sr2+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Sr–O bond distances ranging from 2.50–2.67 Å. In the eleventh Sr2+ site, Sr2+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Sr–O bond distances ranging from 2.43–2.70 Å. In the twelfth Sr2+ site, Sr2+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Sr–O bond distances ranging from 2.51–2.69 Å. In the thirteenth Sr2+ site, Sr2+ is bonded to six O2- atoms to form SrO6 octahedra that share corners with six WO6 octahedra. The corner-sharing octahedra tilt angles range from 28–40°. There are a spread of Sr–O bond distances ranging from 2.40–2.53 Å. In the fourteenth Sr2+ site, Sr2+ is bonded to six O2- atoms to form SrO6 octahedra that share corners with six WO6 octahedra and corners with two equivalent SrO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 26–35°. There are a spread of Sr–O bond distances ranging from 2.41–2.52 Å. In the fifteenth Sr2+ site, Sr2+ is bonded to six O2- atoms to form SrO6 octahedra that share corners with six WO6 octahedra and a cornercorner with one SrO6 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 28–33°. There are a spread of Sr–O bond distances ranging from 2.40–2.52 Å. In the sixteenth Sr2+ site, Sr2+ is bonded to six O2- atoms to form SrO6 octahedra that share corners with six WO6 octahedra and corners with three SrO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 29–36°. There are a spread of Sr–O bond distances ranging from 2.41–2.51 Å. There are six inequivalent W6+ sites. In the first W6+ site, W6+ is bonded to six O2- atoms to form WO6 octahedra that share corners with five SrO6 octahedra. The corner-sharing octahedra tilt angles range from 31–40°. There are a spread of W–O bond distances ranging from 1.90–2.14 Å. In the second W6+ site, W6+ is bonded to six O2- atoms to form WO6 octahedra that share corners with three SrO6 octahedra. The corner-sharing octahedra tilt angles range from 26–29°. There are a spread of W–O bond distances ranging from 1.89–2.07 Å. In the third W6+ site, W6+ is bonded to six O2- atoms to form WO6 octahedra that share corners with four SrO6 octahedra. The corner-sharing octahedra tilt angles range from 28–34°. There are a spread of W–O bond distances ranging from 1.90–2.07 Å. In the fourth W6+ site, W6+ is bonded to six O2- atoms to form WO6 octahedra that share corners with five SrO6 octahedra and an edgeedge with one SrO6 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 30–35°. There are a spread of W–O bond distances ranging from 1.94–1.98 Å. In the fifth W6+ site, W6+ is bonded to six O2- atoms to form WO6 octahedra that share corners with four SrO6 octahedra and edges with two equivalent SrO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 28–32°. There are a spread of W–O bond distances ranging from 1.92–1.99 Å. In the sixth W6+ site, W6+ is bonded to six O2- atoms to form WO6 octahedra that share corners with three SrO6 octahedra and edges with three SrO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 29–33°. There are a spread of W–O bond distances ranging from 1.93–2.00 Å. There are two inequivalent Cu2+ sites. In the first Cu2+ site, Cu2+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of Cu–O bond distances ranging from 1.91–1.96 Å. In the second Cu2+ site, Cu2+ is bonded in a distorted trigonal planar geometry to four O2- atoms. There are a spread of Cu–O bond distances ranging from 1.95–2.77 Å. There are thirty-six inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted see-saw-like geometry to three Sr2+ and one W6+ atom. In the second O2- site, O2- is bonded in a 4-coordinate geometry to two Sr2+, one W6+, and one Cu2+ atom. In the third O2- site, O2- is bonded in a 4-coordinate geometry to two Sr2+, one W6+, and one Cu2+ atom. In the fourth O2- site, O2- is bonded to three Sr2+ and one W6+ atom to form distorted corner-sharing OSr3W trigonal pyramids. In the fifth O2- site, O2- is bonded in a 4-coordinate geometry to three Sr2+, one W6+, and one Cu2+ atom. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to two Sr2+, one W6+, and one Cu2+ atom. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to two Sr2+, one W6+, and one Cu2+ atom. In the eighth O2- site, O2- is bonded in a 4-coordinate geometry to two Sr2+, one W6+, and one Cu2+ atom. In the ninth O2- site, O2- is bonded to three Sr2+ and one W6+ atom to form distorted corner-sharing OSr3W trigonal pyramids. In the tenth O2- site, O2- is bonded in a 3-coordinate geometry to three Sr2+ and one W6+ atom. In the eleventh O2- site, O2- is bonded in a 3-coordinate geometry to three Sr2+ and one W6+ atom. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to three Sr2+ and one W6+ atom. In the thirteenth O2- site, O2- is bonded in a 3-coordinate geometry to three Sr2+ and one W6+ atom. In the fourteenth O2- site, O2- is bonded in a 3-coordinate geometry to three Sr2+ and one W6+ atom. In the fifteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Sr2+ and one W6+ atom. In the sixteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Sr2+ and one W6+ atom. In the seventeenth O2- site, O2- is bonded in a 4-coordinate geometry to three Sr2+ and one W6+ atom. In the eighteenth O2- site, O2- is bonded in a 3-coordinate geometry to three Sr2+ and one W6+ atom. In the nineteenth O2- site, O2- is bonded in a 4-coordinate geometry to three Sr2+ and one W6+ atom. In the twentieth O2- site, O2- is bonded to three Sr2+ and one W6+ atom to form a mixture of distorted edge and corner-sharing OSr3W tetrahedra. In the twenty-first O2- site, O2- is bonded in a 4-coordinate geometry to three Sr2+ and one W6+ atom. In the twenty-second O2- site, O2- is bonded to three Sr2+ and one W6+ atom to form a mixture of distorted edge and corner-sharing OSr3W tetrahedra. In the twenty-third O2- site, O2- is bonded to three Sr2+ and one W6+ atom to form a mixture of distorted edge and corner-sharing OSr3W tetrahedra. In the twenty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to three Sr2+ and one W6+ atom. In the twenty-fifth O2- site, O2- is bonded in a 4-coordinate geometry to three Sr2+ and one W6+ atom. In the twenty-sixth O2- site, O2- is bonded to three Sr2+ and one W6+ atom to form a mixture of distorted edge and corner-sharing OSr3W tetrahedra. In the twenty-seventh O2- site, O2- is bonded in a 4-coordinate geometry to three Sr2+ and one W6+ atom. In the twenty-eighth O2- site, O2- is bonded in a 4-coordinate geometry to three Sr2+ and one W6+ atom. In the twenty-ninth O2- site, O2- is bonded in a 3-coordinate geometry to three Sr2+, one W6+, and one Cu2+ atom. In the thirtieth O2- site, O2- is bonded in a 5-coordinate geometry to four Sr2+ and one W6+ atom. In the thirty-first O2- site, O2- is bonded in a 4-coordinate geometry to three Sr2+ and one W6+ atom. In the thirty-second O2- site, O2- is bonded in a 4-coordinate geometry to three Sr2+ and one W6+ atom. In the thirty-third O2- site, O2- is bonded in a 5-coordinate geometry to four Sr2+ and one W6+ atom. In the thirty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to three Sr2+ and one W6+ atom. In the thirty-fifth O2- site, O2- is bonded in a 4-coordinate geometry to three Sr2+ and one W6+ atom. In the thirty-sixth O2- site, O2- is bonded in a 5-coordinate geometry to four Sr2+ and one W6+ atom.

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 corners with four PO4 tetrahedra and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.97–2.16 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 2.03–2.21 Å. In the third Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.94–2.25 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four PO4 tetrahedra and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.97–2.15 Å. In the 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 2.02–2.16 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 2.02–2.19 Å. In the seventh Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.94–2.26 Å. In the eighth Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 2.01–2.68 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 2.04–2.80 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 2.00–2.79 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 1.90–1.98 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 1.90–1.99 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 1.83–1.93 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 1.90–2.06 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 edges with two LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.88–1.98 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 1.83–1.93 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 38–39°. There are a spread of P–O bond distances ranging from 1.49–1.61 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share 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 41–44°. There are a spread of P–O bond distances ranging from 1.50–1.61 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, 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 1.51–1.63 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 37–38°. There are a spread of P–O bond distances ranging from 1.50–1.59 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 28–36°. There are a spread of P–O bond distances ranging from 1.48–1.60 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 39–43°. 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 LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedral tilt angles are 38°. 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 and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 37–40°. 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, 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 1.50–1.61 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 PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 39–45°. There are a spread of P–O bond distances ranging from 1.52–1.61 Å. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share 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 39–45°. There are a spread of P–O bond distances ranging from 1.50–1.63 Å. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 36–38°. There are a spread of P–O bond distances ranging from 1.50–1.60 Å. In the thirteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 27–34°. 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, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 36–44°. There are a spread of P–O bond distances ranging from 1.49–1.62 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 38–41°. There are a spread of P–O bond distances ranging from 1.51–1.61 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 1.51–1.60 Å. There are fifty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to two Li1+ and one P5+ atom. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+4.33+, 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 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 distorted trigonal non-coplanar 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 distorted trigonal planar geometry to three 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 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 3-coordinate 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 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 3-coordinate geometry to two Li1+ and one P5+ atom. In the twenty-ninth O2- site, O2- is bonded in a 3-coordinate 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 in a bent 150 degrees geometry to one V+4.33+ and one P5+ atom. In the thirty-second O2- site, O2- is bonded in a bent 150 degr

36 MATERIALS SCIENCE↗

Materials Data on KMg4Al9(SiO4)9 by Materials Project

KMg4Al9(SiO4)9 crystallizes in the triclinic P1 space group. The structure is three-dimensional. K1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of K–O bond distances ranging from 2.99–3.19 Å. 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 and edges with three AlO4 tetrahedra. There are a spread of Mg–O bond distances ranging from 2.08–2.17 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 2.10–2.17 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, and edges with three AlO4 tetrahedra. There are a spread of Mg–O bond distances ranging from 2.01–2.29 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 2.02–2.28 Å. There are nine 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 is two shorter (1.73 Å) and two longer (1.81 Å) Al–O bond length. In the second 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 1.73–1.80 Å. In the third 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 is two shorter (1.77 Å) and two longer (1.78 Å) Al–O bond length. In the fourth 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 is three shorter (1.77 Å) and one longer (1.78 Å) Al–O bond length. 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 1.73–1.80 Å. In the sixth 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 octahedral tilt angles are 43°. There are a spread of Al–O bond distances ranging from 1.73–1.77 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 octahedral tilt angles are 48°. There is three shorter (1.75 Å) and one longer (1.76 Å) Al–O bond length. In the eighth 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 is two shorter (1.73 Å) and two longer (1.81 Å) Al–O bond length. In the ninth 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 octahedral tilt angles are 43°. There is three shorter (1.74 Å) and one longer (1.75 Å) Al–O bond length. There are nine 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, corners with two AlO4 tetrahedra, and corners with two SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 42°. There is one shorter (1.64 Å) and three longer (1.65 Å) Si–O bond length. 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 octahedral tilt angles are 44°. There are a spread of Si–O bond distances ranging from 1.60–1.66 Å. In the third Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two MgO6 octahedra, a cornercorner with one SiO4 tetrahedra, and corners with three AlO4 tetrahedra. The corner-sharing octahedral tilt angles are 42°. There is one shorter (1.61 Å) and three longer (1.66 Å) Si–O bond length. 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 44°. 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 octahedra tilt angles range from 41–42°. 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 octahedral tilt angles are 44°. There are a spread of Si–O bond distances ranging from 1.63–1.65 Å. 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 is two shorter (1.60 Å) and two longer (1.67 Å) Si–O bond length. 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 octahedral tilt angles are 42°. There are a spread of Si–O bond distances ranging from 1.62–1.65 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 octahedral tilt angles are 45°. There are a spread of Si–O bond distances ranging from 1.63–1.65 Å. There are thirty-six inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted linear geometry to one K1+, 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+, one Al3+, and one Si4+ atom. 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 3-coordinate geometry to one Mg2+, one Al3+, and one Si4+ atom. In the sixth O2- site, O2- is bonded in a 3-coordinate 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 one K1+ and two Si4+ atoms. In the eleventh O2- site, O2- is bonded in a 3-coordinate 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 3-coordinate geometry to one Mg2+, one Al3+, and one Si4+ atom. In the sixteenth O2- site, O2- is bonded in a 3-coordinate 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 distorted linear geometry to one K1+, one Al3+, and one Si4+ atom. In the nineteenth O2- site, O2- is bonded in a distorted linear geometry to one K1+ and 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 distorted linear geometry to one K1+, 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+ and two Al3+ atoms. 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+ and two Al3+ atoms. 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 distorted bent 150 degrees geometry to one K1+, one Al3+, and one Si4+ atom.

36 MATERIALS SCIENCE↗

Materials Data on CsMg4Al9(SiO4)9 by Materials Project

CsMg4Al9(SiO4)9 crystallizes in the triclinic P1 space group. The structure is three-dimensional. Cs1+ is bonded in a 12-coordinate geometry to twelve O2- atoms. There are a spread of Cs–O bond distances ranging from 3.45–3.69 Å. 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 and edges with three AlO4 tetrahedra. There are a spread of Mg–O bond distances ranging from 2.09–2.19 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 2.08–2.19 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, and edges with three AlO4 tetrahedra. There are a spread of Mg–O bond distances ranging from 2.01–2.29 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 2.01–2.30 Å. There are nine 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 is two shorter (1.73 Å) and two longer (1.81 Å) Al–O bond length. In the second 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 is two shorter (1.73 Å) and two longer (1.81 Å) Al–O bond length. In the third 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 is three shorter (1.77 Å) and one longer (1.78 Å) Al–O bond length. In the fourth 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 is three shorter (1.77 Å) and one longer (1.78 Å) Al–O bond length. 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 1.73–1.80 Å. In the sixth 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 1.73–1.80 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 octahedral tilt angles are 43°. 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, corners with two AlO4 tetrahedra, and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 47–48°. There is one shorter (1.74 Å) and three longer (1.75 Å) Al–O bond length. In the ninth 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 octahedral tilt angles are 43°. There are a spread of Al–O bond distances ranging from 1.73–1.75 Å. There are nine 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, corners with two AlO4 tetrahedra, and corners with two SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 42°. There is three shorter (1.65 Å) and one longer (1.66 Å) Si–O bond length. 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 octahedral tilt angles are 44°. There is one shorter (1.59 Å) and three longer (1.66 Å) Si–O bond length. In the third 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 42°. There is one shorter (1.60 Å) and three longer (1.66 Å) Si–O bond length. 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 44°. There are a spread of Si–O bond distances ranging from 1.59–1.66 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 44–45°. There are a spread of Si–O bond distances ranging from 1.63–1.65 Å. 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 octahedral tilt angles are 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 octahedral tilt angles are 42°. There is three shorter (1.63 Å) and one longer (1.65 Å) Si–O bond length. 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 octahedral tilt angles are 45°. There is three shorter (1.64 Å) and one longer (1.65 Å) Si–O bond length. There are thirty-six inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted linear geometry to one Cs1+, one Al3+, and one Si4+ atom. In the second O2- site, O2- is bonded in a linear geometry to one Cs1+ and two Si4+ atoms. In the third O2- site, O2- is bonded in a 3-coordinate geometry to one Mg2+, one Al3+, and one Si4+ atom. 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 3-coordinate geometry to one Mg2+, one Al3+, and one Si4+ atom. 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 Cs1+, one Al3+, and one Si4+ atom. In the tenth O2- site, O2- is bonded in a linear geometry to one Cs1+ and two Si4+ atoms. In the eleventh O2- site, O2- is bonded in a 3-coordinate 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 linear geometry to one Cs1+ and two Si4+ atoms. In the sixteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Mg2+, one Al3+, and one Si4+ atom. In the seventeenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Mg2+, one Al3+, and one Si4+ atom. In the eighteenth O2- site, O2- is bonded in a linear geometry to one Cs1+, one Al3+, and one Si4+ atom. In the nineteenth O2- site, O2- is bonded in a linear geometry to one Cs1+ and two Si4+ atoms. In the twentieth O2- site, O2- is bonded in a 3-coordinate geometry to one Mg2+, one Al3+, and one Si4+ atom. 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 linear geometry to one Cs1+ and two Si4+ atoms. 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 Cs1+, one Al3+, and one Si4+ atom. In the twenty-eighth O2- site, O2- is bonded in a linear geometry to one Cs1+ and 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+ and two Al3+ atoms. 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+ and two Al3+ atoms. 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 distorted linear geometry to one Cs1+, one Al3+, and one Si4+ atom. In the thirty-sixth O2- site, O2- is bonded in a distorted linear geometry to one Cs1+, one Al3+, and one Si4+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Co7Re17O48 by Materials Project

Re17Co7O48 is beta Vanadium nitride-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are seventeen inequivalent Re+4.82+ sites. In the first Re+4.82+ site, Re+4.82+ is bonded to six O2- atoms to form ReO6 octahedra that share corners with three CoO6 octahedra, corners with five ReO6 octahedra, and edges with two equivalent CoO6 octahedra. The corner-sharing octahedra tilt angles range from 33–51°. There are a spread of Re–O bond distances ranging from 1.90–2.02 Å. In the second Re+4.82+ site, Re+4.82+ is bonded to six O2- atoms to form ReO6 octahedra that share corners with eight ReO6 octahedra and edges with two equivalent CoO6 octahedra. The corner-sharing octahedra tilt angles range from 37–51°. There are a spread of Re–O bond distances ranging from 1.94–2.02 Å. In the third Re+4.82+ site, Re+4.82+ is bonded to six O2- atoms to form ReO6 octahedra that share a cornercorner with one CoO6 octahedra, corners with seven ReO6 octahedra, and edges with two equivalent CoO6 octahedra. The corner-sharing octahedra tilt angles range from 35–51°. There are a spread of Re–O bond distances ranging from 1.94–2.05 Å. In the fourth Re+4.82+ site, Re+4.82+ is bonded to six O2- atoms to form ReO6 octahedra that share corners with two equivalent CoO6 octahedra, corners with six ReO6 octahedra, and edges with two equivalent CoO6 octahedra. The corner-sharing octahedra tilt angles range from 40–51°. There are a spread of Re–O bond distances ranging from 1.86–2.09 Å. In the fifth Re+4.82+ site, Re+4.82+ is bonded to six O2- atoms to form ReO6 octahedra that share corners with four ReO6 octahedra, corners with four CoO6 octahedra, and edges with two equivalent ReO6 octahedra. The corner-sharing octahedra tilt angles range from 37–53°. There are a spread of Re–O bond distances ranging from 1.94–2.08 Å. In the sixth Re+4.82+ site, Re+4.82+ is bonded to six O2- atoms to form ReO6 octahedra that share corners with four ReO6 octahedra, corners with four CoO6 octahedra, and edges with two equivalent ReO6 octahedra. The corner-sharing octahedra tilt angles range from 35–53°. There are a spread of Re–O bond distances ranging from 1.94–2.10 Å. In the seventh Re+4.82+ site, Re+4.82+ is bonded to six O2- atoms to form ReO6 octahedra that share corners with eight ReO6 octahedra and edges with two equivalent CoO6 octahedra. The corner-sharing octahedra tilt angles range from 39–51°. There are a spread of Re–O bond distances ranging from 1.95–2.03 Å. In the eighth Re+4.82+ site, Re+4.82+ is bonded to six O2- atoms to form ReO6 octahedra that share corners with three ReO6 octahedra, corners with five CoO6 octahedra, and edges with two equivalent ReO6 octahedra. The corner-sharing octahedra tilt angles range from 38–49°. There are a spread of Re–O bond distances ranging from 1.86–2.11 Å. In the ninth Re+4.82+ site, Re+4.82+ is bonded to six O2- atoms to form ReO6 octahedra that share corners with three ReO6 octahedra, corners with five CoO6 octahedra, and edges with two equivalent ReO6 octahedra. The corner-sharing octahedra tilt angles range from 39–52°. There are a spread of Re–O bond distances ranging from 1.94–2.03 Å. In the tenth Re+4.82+ site, Re+4.82+ is bonded to six O2- atoms to form ReO6 octahedra that share corners with four ReO6 octahedra, corners with four CoO6 octahedra, and edges with two equivalent ReO6 octahedra. The corner-sharing octahedra tilt angles range from 39–53°. There are a spread of Re–O bond distances ranging from 1.93–2.10 Å. In the eleventh Re+4.82+ site, Re+4.82+ is bonded to six O2- atoms to form ReO6 octahedra that share a cornercorner with one CoO6 octahedra, corners with seven ReO6 octahedra, and edges with two equivalent ReO6 octahedra. The corner-sharing octahedra tilt angles range from 33–52°. There are a spread of Re–O bond distances ranging from 1.92–2.08 Å. In the twelfth Re+4.82+ site, Re+4.82+ is bonded to six O2- atoms to form ReO6 octahedra that share corners with four ReO6 octahedra, corners with four CoO6 octahedra, and edges with two equivalent ReO6 octahedra. The corner-sharing octahedra tilt angles range from 39–52°. There are a spread of Re–O bond distances ranging from 1.94–2.08 Å. In the thirteenth Re+4.82+ site, Re+4.82+ is bonded to six O2- atoms to form ReO6 octahedra that share a cornercorner with one CoO6 octahedra, corners with seven ReO6 octahedra, and edges with two equivalent ReO6 octahedra. The corner-sharing octahedra tilt angles range from 38–51°. There are a spread of Re–O bond distances ranging from 1.93–2.07 Å. In the fourteenth Re+4.82+ site, Re+4.82+ is bonded to six O2- atoms to form ReO6 octahedra that share corners with three CoO6 octahedra, corners with five ReO6 octahedra, and edges with two equivalent ReO6 octahedra. The corner-sharing octahedra tilt angles range from 39–54°. There are a spread of Re–O bond distances ranging from 1.93–2.09 Å. In the fifteenth Re+4.82+ site, Re+4.82+ is bonded to six O2- atoms to form ReO6 octahedra that share corners with three ReO6 octahedra, corners with five CoO6 octahedra, and edges with two equivalent ReO6 octahedra. The corner-sharing octahedra tilt angles range from 39–52°. There are a spread of Re–O bond distances ranging from 1.94–2.03 Å. In the sixteenth Re+4.82+ site, Re+4.82+ is bonded to six O2- atoms to form ReO6 octahedra that share corners with three ReO6 octahedra, corners with five CoO6 octahedra, and edges with two equivalent ReO6 octahedra. The corner-sharing octahedra tilt angles range from 41–51°. There are a spread of Re–O bond distances ranging from 1.87–2.09 Å. In the seventeenth Re+4.82+ site, Re+4.82+ is bonded to six O2- atoms to form ReO6 octahedra that share corners with three CoO6 octahedra, corners with five ReO6 octahedra, and edges with two equivalent ReO6 octahedra. The corner-sharing octahedra tilt angles range from 40–52°. There are a spread of Re–O bond distances ranging from 1.93–2.09 Å. There are seven inequivalent Co2+ sites. In the first Co2+ site, Co2+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with three CoO6 octahedra, corners with five ReO6 octahedra, and edges with two equivalent ReO6 octahedra. The corner-sharing octahedra tilt angles range from 40–54°. There are a spread of Co–O bond distances ranging from 2.00–2.15 Å. In the second Co2+ site, Co2+ is bonded to six O2- atoms to form CoO6 octahedra that share a cornercorner with one CoO6 octahedra, corners with seven ReO6 octahedra, and edges with two equivalent ReO6 octahedra. The corner-sharing octahedra tilt angles range from 40–53°. There are a spread of Co–O bond distances ranging from 2.00–2.15 Å. In the third Co2+ site, Co2+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with eight ReO6 octahedra and edges with two equivalent CoO6 octahedra. The corner-sharing octahedra tilt angles range from 41–54°. There are a spread of Co–O bond distances ranging from 2.06–2.23 Å. In the fourth Co2+ site, Co2+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with eight ReO6 octahedra and edges with two equivalent ReO6 octahedra. The corner-sharing octahedra tilt angles range from 40–53°. There are a spread of Co–O bond distances ranging from 2.07–2.12 Å. In the fifth Co2+ site, Co2+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with eight ReO6 octahedra and edges with two equivalent ReO6 octahedra. The corner-sharing octahedra tilt angles range from 39–52°. There are a spread of Co–O bond distances ranging from 2.02–2.13 Å. In the sixth Co2+ site, Co2+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with two equivalent CoO6 octahedra, corners with six ReO6 octahedra, and edges with two equivalent ReO6 octahedra. The corner-sharing octahedra tilt angles range from 40–54°. There are a spread of Co–O bond distances ranging from 1.90–2.10 Å. In the seventh Co2+ site, Co2+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with eight ReO6 octahedra and edges with two equivalent CoO6 octahedra. The corner-sharing octahedra tilt angles range from 39–46°. There are a spread of Co–O bond distances ranging from 1.92–2.11 Å. There are forty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted T-shaped geometry to two Re+4.82+ and one Co2+ atom. In the second O2- site, O2- is bonded in a distorted T-shaped geometry to two Re+4.82+ and one Co2+ atom. In the third O2- site, O2- is bonded in a 3-coordinate geometry to one Re+4.82+ and two Co2+ atoms. In the fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Re+4.82+ atoms. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Re+4.82+ and two Co2+ atoms. In the sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Re+4.82+ atoms. In the seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to three Re+4.82+ atoms. In the eighth O2- site, O2- is bonded in a distorted T-shaped geometry to two Re+4.82+ and one Co2+ atom. In the ninth O2- site, O2- is bonded in a 3-coordinate geometry to two Re+4.82+ and one Co2+ atom. In the tenth O2- site, O2- is bonded in a 3-coordinate geometry to two Re+4.82+ and one Co2+ atom. In the eleventh O2- site, O2- is bonded in a 3-coordinate geometry to two Re+4.82+ and one Co2+ atom. In the twelfth O2- site, O2- is bonded in a 3-coordinate geometry to two Re+4.82+ and one Co2+ atom. In the thirteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Re+4.82+ and two Co2+ atoms. In the fourteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Re+4.82+ and one Co2+ atom. In the fifteenth O2- site, O2- is bonded in a distorted T-shaped geometry to two Re+4.82+ and one Co2+ atom. In the sixteenth O2- site, O2- is bonded in a trigonal planar geometry to two Re+4.82+ and one Co2+ atom. In the seventeenth O2- site, O2- is bonded in a trigonal planar geometry to two Re+4.82+ and one Co2+ atom. In the eighteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Re+4.82+ atoms. In the nineteenth O2- site, O2- is bonded in a trigonal planar geometry to two Re+4.82+ and one Co2+ atom. In the twentieth O2- site, O2- is bonded in a 3-coordinate geometry to three Re+4.82+ atoms. In the twenty-first O2- site, O2- is bonded in a 3-coordinate geometry to two Re+4.82+ and one Co2+ atom. In the twenty-second O2- site, O2- is bonded in a 3-coordinate geometry to two Re+4.82+ and one Co2+ atom. In the twenty-third O2- site, O2- is bonded in a distorted trigonal planar geometry to three Re+4.82+ atoms. In the twenty-fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Re+4.82+ and two Co2+ atoms. In the twenty-fifth O2- site, O2- is bonded in a 3-coordinate geometry to one Re+4.82+ and two Co2+ atoms. In the twenty-sixth O2- site, O2- is bonded in a distorted T-shaped geometry to two Re+4.82+ and one Co2+ atom. In the twenty-seventh O2- site, O2- is bonded in a distorted T-shaped geometry to two Re+4.82+ and one Co2+ atom. In the twenty-eighth O2- site, O2- is bonded in a 3-coordinate geometry to two Re+4.82+ and one Co2+ atom. In the twenty-ninth O2- site, O2- is bonded in a 3-coordinate geometry to two Re+4.82+ and one Co2+ atom. In the thirtieth O2- site, O2- is bonded in a 3-coordinate geometry to two Re+4.82+ and one Co2+ atom. In the thirty-first O2- site, O2- is bonded in a 3-coordinate geometry to two Re+4.82+ and one Co2+ atom. In the thirty-second O2- site, O2- is bonded in a distorted trigonal planar geometry to three Re+4.82+ atoms. In the thirty-third O2- site, O2- is bonded in a 3-coordinate geometry to two Re+4.82+ and one Co2+ atom. In the thirty-fourth O2- site, O2- is bonded in a 3-coordinate geometry to two Re+4.82+ and one Co2+ atom. In the thirty-fifth O2- site, O2- is bonded in a 3-coordinate geometry to three Re+4.82+ atoms. In the thirty-sixth O2- site, O

36 MATERIALS SCIENCE↗

Materials Data on Li3La8Ti9Cr3O36 by Materials Project

Li3La8Ti9Cr3O36 is Orthorhombic Perovskite-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are three inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 2.34–2.46 Å. In the second Li1+ site, Li1+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Li–O bond distances ranging from 2.31–2.84 Å. In the third Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 2.38–2.44 Å. There are eight inequivalent La3+ sites. In the first La3+ site, La3+ is bonded in a 12-coordinate geometry to five O2- atoms. There are a spread of La–O bond distances ranging from 2.40–2.52 Å. In the second La3+ site, La3+ is bonded in a 11-coordinate geometry to eleven O2- atoms. There are a spread of La–O bond distances ranging from 2.39–2.98 Å. In the third La3+ site, La3+ is bonded in a 12-coordinate geometry to nine O2- atoms. There are a spread of La–O bond distances ranging from 2.39–2.88 Å. In the fourth La3+ site, La3+ is bonded in a 12-coordinate geometry to five O2- atoms. There are a spread of La–O bond distances ranging from 2.37–2.54 Å. In the fifth La3+ site, La3+ is bonded in a 11-coordinate geometry to five O2- atoms. There are a spread of La–O bond distances ranging from 2.35–2.53 Å. In the sixth La3+ site, La3+ is bonded in a 12-coordinate geometry to five O2- atoms. There are a spread of La–O bond distances ranging from 2.36–2.55 Å. In the seventh La3+ site, La3+ is bonded in a 12-coordinate geometry to five O2- atoms. There are a spread of La–O bond distances ranging from 2.37–2.54 Å. In the eighth La3+ site, La3+ is bonded in a 12-coordinate geometry to five O2- atoms. There are a spread of La–O bond distances ranging from 2.39–2.52 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 a cornercorner with one CrO6 octahedra and corners with five TiO6 octahedra. The corner-sharing octahedra tilt angles range from 21–29°. There are a spread of Ti–O bond distances ranging from 1.91–2.04 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 18–27°. There are a spread of Ti–O bond distances ranging from 1.92–2.05 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 21–28°. There are a spread of Ti–O bond distances ranging from 1.95–2.03 Å. In the fourth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one CrO6 octahedra and corners with five TiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–27°. There are a spread of Ti–O bond distances ranging from 1.86–2.09 Å. In the fifth 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 CrO6 octahedra. The corner-sharing octahedra tilt angles range from 13–27°. There are a spread of Ti–O bond distances ranging from 1.91–2.05 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 21–29°. There are a spread of Ti–O bond distances ranging from 1.94–2.02 Å. In the seventh Ti4+ site, Ti4+ is bonded to six O2- atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 21–29°. There are a spread of Ti–O bond distances ranging from 1.94–2.04 Å. In the eighth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one CrO6 octahedra and corners with five TiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–27°. There are a spread of Ti–O bond distances ranging from 1.85–2.10 Å. In the ninth Ti4+ site, Ti4+ is bonded to six O2- atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 18–27°. There are a spread of Ti–O bond distances ranging from 1.96–2.00 Å. There are three inequivalent Cr3+ sites. In the first Cr3+ site, Cr3+ is bonded to six O2- atoms to form CrO6 octahedra that share a cornercorner with one TiO6 octahedra and corners with five CrO6 octahedra. The corner-sharing octahedra tilt angles range from 20–25°. There are a spread of Cr–O bond distances ranging from 1.98–2.01 Å. In the second Cr3+ site, Cr3+ is bonded to six O2- atoms to form CrO6 octahedra that share a cornercorner with one CrO6 octahedra and corners with five TiO6 octahedra. The corner-sharing octahedra tilt angles range from 13–29°. There are a spread of Cr–O bond distances ranging from 2.00–2.03 Å. In the third Cr3+ site, Cr3+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with two TiO6 octahedra and corners with four equivalent CrO6 octahedra. The corner-sharing octahedra tilt angles range from 20–22°. There are a spread of Cr–O bond distances ranging from 1.98–2.01 Å. There are thirty-six inequivalent O2- sites. In the first O2- site, O2- is bonded in a 5-coordinate geometry to one Li1+ and two Ti4+ atoms. In the second O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two equivalent La3+ and two Ti4+ atoms. In the third O2- site, O2- is bonded in a 5-coordinate geometry to one La3+, one Ti4+, and one Cr3+ atom. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, one La3+, and two Ti4+ atoms. In the fifth O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, one La3+, one Ti4+, and one Cr3+ atom. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, one La3+, and two Ti4+ atoms. In the seventh O2- site, O2- is bonded in a 5-coordinate geometry to one Li1+, two La3+, and two Ti4+ atoms. In the eighth O2- site, O2- is bonded in a 4-coordinate geometry to two La3+ and two Cr3+ atoms. In the ninth O2- site, O2- is bonded in a 4-coordinate geometry to two La3+ and two Ti4+ atoms. In the tenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, 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 4-coordinate geometry to one Li1+, one La3+, and two Ti4+ atoms. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to three La3+ and two Cr3+ atoms. In the fourteenth O2- site, O2- is bonded in a 2-coordinate geometry to two La3+ and two Ti4+ atoms. In the fifteenth O2- site, O2- is bonded in a 4-coordinate geometry to two La3+, one Ti4+, and one Cr3+ atom. In the sixteenth O2- site, O2- is bonded in a 5-coordinate geometry to one Li1+, one Ti4+, and one Cr3+ atom. In the seventeenth O2- site, O2- is bonded in a 5-coordinate geometry to one Li1+ and two Ti4+ atoms. In the eighteenth O2- site, O2- is bonded in a 5-coordinate geometry to one La3+, one Ti4+, and one Cr3+ atom. In the nineteenth O2- site, O2- is bonded in a 3-coordinate geometry to one La3+ and two Ti4+ atoms. In the twentieth O2- site, O2- is bonded in a 3-coordinate geometry to one La3+ and two Ti4+ atoms. In the twenty-first O2- site, O2- is bonded in a 5-coordinate geometry to one La3+ and two Cr3+ atoms. In the twenty-second O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, one La3+, and two Ti4+ atoms. In the twenty-third O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, one La3+, one Ti4+, and one Cr3+ atom. In the twenty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, one La3+, and two Ti4+ atoms. In the twenty-fifth O2- site, O2- is bonded in a 4-coordinate geometry to two La3+ and two Ti4+ atoms. In the twenty-sixth O2- site, O2- is bonded in a 5-coordinate geometry to one Li1+, two La3+, and two Ti4+ atoms. In the twenty-seventh O2- site, O2- is bonded in a 4-coordinate geometry to two La3+ and two Cr3+ atoms. In the twenty-eighth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, one La3+, and two Ti4+ atoms. In the twenty-ninth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, one La3+, and two Ti4+ atoms. In the thirtieth O2- site, O2- is bonded in a 2-coordinate geometry to two La3+ and two Ti4+ atoms. In the thirty-first O2- site, O2- is bonded in a 4-coordinate geometry to two La3+, one Ti4+, and one Cr3+ atom. In the thirty-second O2- site, O2- is bonded in a 3-coordinate geometry to one La3+ and two Ti4+ atoms. In the thirty-third O2- site, O2- is bonded in a 4-coordinate geometry to three La3+ and two Cr3+ atoms. In the thirty-fourth O2- site, O2- is bonded in a 3-coordinate geometry to one La3+ and two Ti4+ atoms. In the thirty-fifth O2- site, O2- is bonded in a 3-coordinate geometry to two equivalent Li1+, one La3+, and two Ti4+ atoms. In the thirty-sixth O2- site, O2- is bonded in a 5-coordinate geometry to three La3+, one Ti4+, and one Cr3+ atom.

36 MATERIALS SCIENCE↗