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Materials Data on Li6MnV3(PO4)6 by Materials Project

Li6V3Mn(PO4)6 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twelve inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Li–O bond distances ranging from 2.12–2.54 Å. In the second Li1+ site, Li1+ is bonded in a distorted trigonal non-coplanar geometry to three O2- atoms. There is one shorter (1.87 Å) and two longer (1.99 Å) Li–O bond length. In the third Li1+ site, Li1+ is bonded in a see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.99–2.32 Å. In the fourth Li1+ site, Li1+ is bonded in a distorted trigonal non-coplanar geometry to three O2- atoms. There are a spread of Li–O bond distances ranging from 1.98–2.12 Å. In the fifth Li1+ site, Li1+ is bonded in a trigonal non-coplanar geometry to three O2- atoms. There are a spread of Li–O bond distances ranging from 1.88–1.96 Å. In the sixth Li1+ site, Li1+ is bonded in a distorted trigonal planar geometry to three O2- atoms. There are a spread of Li–O bond distances ranging from 1.88–1.97 Å. In the seventh Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.13–2.75 Å. In the eighth Li1+ site, Li1+ is bonded in a see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.95–2.22 Å. In the ninth Li1+ site, Li1+ is bonded in a distorted trigonal non-coplanar geometry to three O2- atoms. There are a spread of Li–O bond distances ranging from 1.94–2.02 Å. In the tenth Li1+ site, Li1+ is bonded in a see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 2.06–2.31 Å. In the eleventh Li1+ site, Li1+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of Li–O bond distances ranging from 1.89–1.96 Å. In the twelfth Li1+ site, Li1+ is bonded in a 3-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.93–2.62 Å. There are six inequivalent V+3.33+ sites. In the first V+3.33+ site, V+3.33+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one VO6 octahedra. There are a spread of V–O bond distances ranging from 1.96–2.20 Å. In the second V+3.33+ site, V+3.33+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and edges with three VO6 octahedra. There are a spread of V–O bond distances ranging from 2.00–2.03 Å. In the third V+3.33+ site, V+3.33+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one VO6 octahedra. There are a spread of V–O bond distances ranging from 1.85–2.15 Å. In the fourth V+3.33+ site, V+3.33+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one VO6 octahedra. There are a spread of V–O bond distances ranging from 1.91–2.12 Å. In the fifth V+3.33+ site, V+3.33+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one VO6 octahedra. There are a spread of V–O bond distances ranging from 1.96–2.12 Å. In the sixth V+3.33+ site, V+3.33+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra, an edgeedge with one VO6 octahedra, and edges with two MnO6 octahedra. There are a spread of V–O bond distances ranging from 1.96–2.05 Å. There are two inequivalent Mn2+ sites. In the first Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one VO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.98–2.28 Å. In the second Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one VO6 octahedra. There are a spread of Mn–O bond distances ranging from 2.05–2.30 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 LiO6 octahedra, a cornercorner with one MnO6 octahedra, and corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 34–56°. There are a spread of P–O bond distances ranging from 1.53–1.59 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra and corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 43–58°. There are a spread of P–O bond distances ranging from 1.52–1.60 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one MnO6 octahedra, and corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 41–55°. There are a spread of P–O bond distances ranging from 1.52–1.59 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one MnO6 octahedra, and corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 40–55°. There are a spread of P–O bond distances ranging from 1.52–1.61 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra and corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 39–59°. There are a spread of P–O bond distances ranging from 1.52–1.60 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra and corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 37–57°. There are a spread of P–O bond distances ranging from 1.51–1.59 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four VO6 octahedra. The corner-sharing octahedra tilt angles range from 35–55°. There are a spread of P–O bond distances ranging from 1.53–1.59 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 corners with two MnO6 octahedra. The corner-sharing octahedra tilt angles range from 39–53°. There are a spread of P–O bond distances ranging from 1.54–1.58 Å. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one MnO6 octahedra, and corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 40–54°. There are a spread of P–O bond distances ranging from 1.52–1.60 Å. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, corners with two VO6 octahedra, and corners with two MnO6 octahedra. The corner-sharing octahedra tilt angles range from 39–55°. There are a spread of P–O bond distances ranging from 1.52–1.58 Å. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra and corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 38–53°. There are a spread of P–O bond distances ranging from 1.54–1.58 Å. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra and corners with four VO6 octahedra. The corner-sharing octahedra tilt angles range from 39–56°. There are a spread of P–O bond distances ranging from 1.53–1.60 Å. There are forty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, one Mn2+, and one P5+ atom. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn2+, and one P5+ atom. In the third O2- site, O2- is bonded in a 2-coordinate geometry to one Mn2+ and one P5+ atom. In the fourth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+3.33+ and one P5+ atom. In the fifth O2- site, O2- is bonded to three Li1+ and one P5+ atom to form distorted edge-sharing OLi3P trigonal pyramids. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to two V+3.33+ and one P5+ atom. In the seventh O2- site, O2- is bonded to three Li1+ and one P5+ atom to form distorted edge-sharing OLi3P tetrahedra. In the eighth O2- site, O2- is bonded in a 3-coordinate geometry to two V+3.33+ and one P5+ atom. In the ninth O2- site, O2- is bonded in a 3-coordinate geometry to two V+3.33+ and one P5+ atom. In the tenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one V+3.33+ and one P5+ atom. In the eleventh O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+3.33+, and one P5+ atom. In the twelfth O2- site, O2- is bonded in a 3-coordinate geometry to two Li1+ and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Li1+ and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+3.33+, and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+3.33+ and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a 3-coordinate geometry to two V+3.33+ and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one V+3.33+ and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Li1+ and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a 3-coordinate geometry to two V+3.33+ and one P5+ atom. In the twentieth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn2+, and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn2+, and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a 3-coordinate geometry to two Li1+ and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a 3-coordinate geometry to two V+3.33+ and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn2+, and one P5+ atom. In the twenty-fifth O2- site, O2- is bonded in a 4-coordinate geometry to three Li1+ and one P5+ atom. In the twenty-sixth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+3.33+ and one P5+ atom. In the twenty-seventh O2- site, O2- is bonded in a bent 150 degrees geometry to one V+3.33+ and one P5+ atom. In the twenty-eighth O2- site, O2- is bonded in a 3-coordinate geometry to two V+3.33+ and one P5+ atom. In the twenty-ninth O2- site, O2- is bonded in a 3-coordinate geometry to one V+3.33+, one Mn2+, and one P5+ atom. In the thirtieth O2- site, O2- is bonded in a 4-coordinate geometry to three Li1+ and one P5+ atom. In the thirty-first O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one V+3.33+, and one P5+ atom. In the thirty-second O2- site, O2- is bonded in a bent 150 degrees geometry to one V+3.33+ and one P5+ atom. In the thirty-third O2- site, O2- is bonded in a distorted trigonal planar geometry to one V+3.33+, one Mn2+, and one P5+ atom. In the thirty-fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+3.33+, and one P5+ atom. In the thirty-fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn2+, and one P5+ atom. In the thirty-sixth O2- site, O2- is bonded in a distorted trigonal pyramidal geometry to three Li1+ and one P5+ atom. In the thirty-seventh O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn2+, and one P5+ atom. In the thirty-eighth O2- site, O2- is bonded in a 3-coordinate ge

36 MATERIALS SCIENCE↗

Materials Data on Mg2V6Cu4O21 by Materials Project

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

36 MATERIALS SCIENCE↗

Materials Data on Na2Al2Si3(HO3)4 by Materials Project

Na2Al2Si3(HO3)4 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Na–O bond distances ranging from 2.37–2.99 Å. In the second Na1+ site, Na1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Na–O bond distances ranging from 2.40–2.73 Å. In the third Na1+ site, Na1+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Na–O bond distances ranging from 2.32–2.63 Å. In the fourth Na1+ site, Na1+ is bonded in a 2-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.25–3.09 Å. In the fifth Na1+ site, Na1+ is bonded in a 4-coordinate geometry to five O2- atoms. There are a spread of Na–O bond distances ranging from 2.27–2.98 Å. In the sixth Na1+ site, Na1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Na–O bond distances ranging from 2.29–2.86 Å. In the seventh Na1+ site, Na1+ is bonded in a 5-coordinate geometry to one H1+ and four O2- atoms. The Na–H bond length is 2.53 Å. There are a spread of Na–O bond distances ranging from 2.39–2.49 Å. In the eighth Na1+ site, Na1+ is bonded in a 6-coordinate geometry to three H1+ and three O2- atoms. There are a spread of Na–H bond distances ranging from 2.41–2.64 Å. There are a spread of Na–O bond distances ranging from 2.28–2.70 Å. There are eight inequivalent Al3+ sites. In the first Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share a cornercorner with one SiHO3 tetrahedra and a cornercorner with one SiHO4 trigonal bipyramid. There are a spread of Al–O bond distances ranging from 1.75–1.89 Å. In the second Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share a cornercorner with one AlO4 tetrahedra and a cornercorner with one SiO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.75–1.81 Å. In the third Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share a cornercorner with one AlO4 tetrahedra, a cornercorner with one SiO4 tetrahedra, and a cornercorner with one AlO5 trigonal bipyramid. There are a spread of Al–O bond distances ranging from 1.75–1.91 Å. In the fourth Al3+ site, Al3+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Al–O bond distances ranging from 1.76–1.99 Å. In the fifth Al3+ site, Al3+ is bonded to one H1+ and three O2- atoms to form AlHO3 tetrahedra that share a cornercorner with one AlHO5 octahedra and a cornercorner with one SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 61°. The Al–H bond length is 1.64 Å. There are a spread of Al–O bond distances ranging from 1.75–1.86 Å. In the sixth Al3+ site, Al3+ is bonded to one H1+ and five O2- atoms to form distorted AlHO5 octahedra that share a cornercorner with one AlHO3 tetrahedra, corners with two SiO4 tetrahedra, and an edgeedge with one AlO5 trigonal bipyramid. The Al–H bond length is 1.84 Å. There are a spread of Al–O bond distances ranging from 1.78–2.15 Å. In the seventh Al3+ site, Al3+ is bonded to five O2- atoms to form distorted AlO5 trigonal bipyramids that share a cornercorner with one AlO4 tetrahedra and a cornercorner with one SiO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.81–2.02 Å. In the eighth Al3+ site, Al3+ is bonded to five O2- atoms to form distorted AlO5 trigonal bipyramids that share a cornercorner with one SiO4 tetrahedra and an edgeedge with one AlHO5 octahedra. There are a spread of Al–O bond distances ranging from 1.75–2.31 Å. There are twelve inequivalent Si4+ sites. In the first Si4+ site, Si4+ is bonded in a trigonal non-coplanar geometry to three O2- atoms. There is two shorter (1.63 Å) and one longer (1.69 Å) Si–O bond length. In the second Si4+ site, Si4+ is bonded in a trigonal non-coplanar geometry to one H1+ and two O2- atoms. The Si–H bond length is 1.49 Å. There is one shorter (1.62 Å) and one longer (1.69 Å) Si–O bond length. In the third Si4+ site, Si4+ is bonded in a trigonal non-coplanar geometry to three O2- atoms. There are a spread of Si–O bond distances ranging from 1.62–1.68 Å. In the fourth Si4+ site, Si4+ is bonded to one H1+ and four O2- atoms to form SiHO4 trigonal bipyramids that share a cornercorner with one AlO4 tetrahedra. The Si–H bond length is 1.52 Å. There are a spread of Si–O bond distances ranging from 1.71–1.80 Å. In the fifth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one AlHO5 octahedra, a cornercorner with one AlHO3 tetrahedra, and a cornercorner with one SiHO4 trigonal bipyramid. The corner-sharing octahedral tilt angles are 49°. There are a spread of Si–O bond distances ranging from 1.59–1.72 Å. In the sixth Si4+ site, Si4+ is bonded to one H1+ and four O2- atoms to form distorted corner-sharing SiHO4 trigonal bipyramids. The Si–H bond length is 1.48 Å. There are a spread of Si–O bond distances ranging from 1.69–1.76 Å. In the seventh Si4+ site, Si4+ is bonded in a trigonal non-coplanar geometry to three O2- atoms. There are a spread of Si–O bond distances ranging from 1.66–1.69 Å. In the eighth Si4+ site, Si4+ is bonded in a trigonal non-coplanar geometry to two H1+ and one O2- atom. There is one shorter (1.49 Å) and one longer (1.51 Å) Si–H bond length. The Si–O bond length is 1.65 Å. In the ninth Si4+ site, Si4+ is bonded in a trigonal non-coplanar geometry to three O2- atoms. There are a spread of Si–O bond distances ranging from 1.62–1.69 Å. In the tenth Si4+ site, Si4+ is bonded to one H1+ and three O2- atoms to form SiHO3 tetrahedra that share a cornercorner with one AlO4 tetrahedra. The Si–H bond length is 1.47 Å. There are a spread of Si–O bond distances ranging from 1.62–1.69 Å. In the eleventh Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one AlHO5 octahedra, a cornercorner with one AlO5 trigonal bipyramid, and a cornercorner with one SiHO4 trigonal bipyramid. The corner-sharing octahedral tilt angles are 53°. There are a spread of Si–O bond distances ranging from 1.63–1.66 Å. In the twelfth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two AlO4 tetrahedra and a cornercorner with one AlO5 trigonal bipyramid. There are a spread of Si–O bond distances ranging from 1.58–1.72 Å. There are sixteen inequivalent H1+ sites. In the first H1+ site, H1+ is bonded in a bent 120 degrees geometry to one Na1+ and one Si4+ atom. In the second H1+ site, H1+ is bonded in a single-bond geometry to one Si4+ atom. In the third H1+ site, H1+ is bonded in a bent 120 degrees geometry to one Na1+ and one Si4+ atom. In the fourth 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 fifth H1+ site, H1+ is bonded in a single-bond geometry to one Si4+ atom. In the sixth H1+ site, H1+ is bonded in a distorted linear geometry to two O2- atoms. There is one shorter (1.04 Å) and one longer (1.53 Å) H–O bond length. In the seventh H1+ site, H1+ is bonded in a linear geometry to two O2- atoms. There is one shorter (1.05 Å) and one longer (1.56 Å) H–O bond length. 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 Si4+ atom. In the tenth H1+ site, H1+ is bonded in a bent 120 degrees geometry to one Na1+ and one Si4+ atom. 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 distorted single-bond geometry to two O2- atoms. There is one shorter (1.00 Å) and one longer (1.69 Å) H–O bond length. In the thirteenth H1+ site, H1+ is bonded in a distorted linear geometry to two O2- atoms. There is one shorter (1.01 Å) and one longer (1.57 Å) H–O bond length. In the fourteenth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.97 Å. In the fifteenth H1+ site, H1+ is bonded in a distorted bent 120 degrees geometry to one Na1+ and two Al3+ atoms. In the sixteenth H1+ site, H1+ is bonded in a single-bond geometry to two O2- atoms. There is one shorter (1.01 Å) and one longer (1.75 Å) H–O bond length. There are forty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a trigonal planar geometry to one Al3+, one Si4+, and one H1+ atom. In the second O2- site, O2- is bonded in a 4-coordinate geometry to three Na1+ and one Si4+ atom. In the third O2- site, O2- is bonded in a distorted single-bond geometry to two Na1+, one Si4+, and one O2- atom. The O–O bond length is 1.50 Å. In the fourth O2- site, O2- is bonded in a bent 120 degrees geometry to one Al3+ and one Si4+ atom. In the fifth O2- site, O2- is bonded in a trigonal planar geometry to two Al3+ and one H1+ atom. In the sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Na1+, one Al3+, and one Si4+ atom. In the seventh O2- site, O2- is bonded in a distorted single-bond geometry to one Na1+ and one H1+ atom. In the eighth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Al3+, and one H1+ atom. In the ninth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Si4+, and one O2- atom. The O–O bond length is 1.51 Å. In the tenth O2- site, O2- is bonded in a 1-coordinate geometry to one Na1+, one Al3+, and one O2- atom. In the eleventh O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Al3+, and one Si4+ atom. In the twelfth O2- site, O2- is bonded in a 2-coordinate geometry to one Na1+, one Al3+, and one Si4+ atom. In the thirteenth O2- site, O2- is bonded in a distorted single-bond geometry to one Na1+, one H1+, and one O2- atom. The O–O bond length is 1.47 Å. In the fourteenth O2- site, O2- is bonded in a distorted single-bond geometry to one Na1+, one Si4+, and one O2- atom. The O–O bond length is 1.50 Å. In the fifteenth O2- site, O2- is bonded in a 1-coordinate geometry to two Na1+, one Al3+, and one O2- atom. In the sixteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Na1+, one Al3+, and one Si4+ atom. In the seventeenth O2- site, O2- is bonded in a bent 120 degrees geometry to one Si4+ and one H1+ atom. In the eighteenth O2- site, O2- is bonded in a 1-coordinate geometry to one Na1+, one Al3+, and one O2- atom. The O–O bond length is 1.42 Å. In the nineteenth O2- site, O2- is bonded in a 2-coordinate geometry to two Al3+ and one O2- atom. In the twentieth O2- site, O2- is bonded in a trigonal non-coplanar geometry to one Al3+, one Si4+, and one H1+ atom. In the twenty-first O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Al3+, one Si4+, and one H1+ atom. In the twenty-second O2- site, O2- is bonded in a distorted single-bond geometry to one Na1+, one H1+, and one O2- atom. The O–O bond length is 1.48 Å. In the twenty-third O2- site, O2- is bonded in a trigonal planar geometry to two Al3+ and one Si4+ atom. In the twenty-fourth O2- site, O2- is bonded in a trigonal non-coplanar geometry to two Al3+ and one Si4+ atom. In the twenty-fifth O2- site, O2- is bonded in a distorted single-bond geometry to one Na1+, one Al3+, one H1+, and one O2- atom. In the twenty-sixth O2- site, O2- is bonded in a 2-coordinate geometry to two Al3+ and one O2- atom. The O–O bond length is 1.55 Å. In the twenty-seventh O2- site, O2- is bonded in a bent 120 degrees geometry to one Al3+ and one Si4+ atom. In the twenty-eighth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Al3+, and one H1+ atom. In the twenty-ninth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Al3+, and one Si4+ atom. In the thirtieth O2- site, O2- is bonded in a 1-coordinate g

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 in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.94–2.61 Å. In the second Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.94–2.61 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 1.96–2.20 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four PO4 tetrahedra and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.96–2.20 Å. In the fifth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.96–2.26 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 1.96–2.27 Å. In the seventh Li1+ site, Li1+ is bonded in a 3-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.94–2.51 Å. In the eighth Li1+ site, Li1+ is bonded in a 3-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.94–2.53 Å. There are six inequivalent V+4.67+ sites. In the first V+4.67+ site, V+4.67+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.83–1.94 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 an edgeedge with one LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.87–1.99 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. There are a spread of V–O bond distances ranging from 1.83–1.94 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 1.87–1.99 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 1.85–1.94 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 1.85–1.93 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 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 1.50–1.60 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 37–40°. There are a spread of P–O bond distances ranging from 1.49–1.61 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedral tilt angles are 38°. There are a spread of P–O bond distances ranging from 1.50–1.60 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra and a cornercorner with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 30–39°. 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 a cornercorner with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 30–39°. There are a spread of P–O bond distances ranging from 1.49–1.58 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 37–40°. There are a spread of P–O bond distances ranging from 1.49–1.61 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 37–44°. 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 37–42°. There are a spread of P–O bond distances ranging from 1.49–1.61 Å. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 37–44°. 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 37–42°. There are a spread of P–O bond distances ranging from 1.49–1.61 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 38–43°. There are a spread of P–O bond distances ranging from 1.51–1.61 Å. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 30–36°. 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. The corner-sharing octahedra tilt angles range from 30–36°. There are a spread of P–O bond distances ranging from 1.48–1.60 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 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 38–43°. There are a spread of P–O bond distances ranging from 1.51–1.62 Å. In the sixteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 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. There are fifty-seven inequivalent O2- sites. In the first O2- site, O2- is bonded in a 2-coordinate geometry to two Li1+ and one P5+ atom. In the second O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the third O2- site, O2- is bonded in a bent 150 degrees geometry to one Li1+ and one P5+ atom. In the fourth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ 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 2-coordinate geometry to two Li1+ and one P5+ atom. In the ninth O2- site, O2- is bonded in a bent 150 degrees geometry to 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 bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a distorted single-bond geometry to one Li1+ and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a distorted single-bond geometry to one Li1+ and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+4.67+, and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+4.67+, and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two P5+ atoms. In the twentieth O2- site, O2- is bonded in a bent 150 degrees geometry to one Li1+ and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a distorted 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 3-coordinate geometry to one Li1+, one V+4.67+, and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+4.67+, and one P5+ atom. In the twenty-fifth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the twenty-sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+4.67+, and one P5+ atom. In the twenty-seventh O2- site, O2- is bonded in a distorted bent 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 distorted trigonal planar geometry to two Li1+ and one P5+ atom. In the thirtieth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+4.67+, and one P5+ atom. In the thirty-first O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the thirty-second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, 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+ and one P5+ atom. In the thirty-fourth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the thirty-fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Li1+ and one P5+ atom. In the thirty-sixth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Li1+ and one P5+ atom. In the thirty-seventh O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two P5+ atoms. In the thirty-eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+4.67+, and one P5+ atom. In the thirty-ninth O2- site, O2- is bonded in a bent 150 de

36 MATERIALS SCIENCE↗

Materials Data on Dy2Si2O7 by Materials Project

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

36 MATERIALS SCIENCE↗

Materials Data on 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 in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.89–2.45 Å. In the second Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.97–2.31 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 1.89–2.27 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 1.97–2.16 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 1.94–2.23 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 1.92–2.14 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 1.93–2.44 Å. In the eighth Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.94–2.67 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 1.86–2.01 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 1.83–1.95 Å. In the third V+4.67+ site, V+4.67+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.86–1.92 Å. In the fourth V+4.67+ site, V+4.67+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.86–2.02 Å. In the 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 1.83–1.98 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 1.84–1.98 Å. There are sixteen inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 38–39°. There are a spread of P–O bond distances ranging from 1.47–1.61 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 39–41°. 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 37–44°. There are a spread of P–O bond distances ranging from 1.49–1.62 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra and a cornercorner with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 30–36°. There are a spread of P–O bond distances ranging from 1.49–1.58 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 31–35°. There are a spread of P–O bond distances ranging from 1.48–1.59 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 38–45°. There are a spread of P–O bond distances ranging from 1.48–1.61 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedral tilt angles are 37°. There are a spread of P–O bond distances ranging from 1.48–1.62 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 38–40°. There are a spread of P–O bond distances ranging from 1.50–1.62 Å. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 39–46°. There are a spread of P–O bond distances ranging from 1.48–1.62 Å. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 39–40°. There are a spread of P–O bond distances ranging from 1.50–1.61 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 40–49°. There are a spread of P–O bond distances ranging from 1.48–1.62 Å. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra and a cornercorner with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 33–39°. There are a spread of P–O bond distances ranging from 1.49–1.61 Å. In the thirteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 27–29°. There are a spread of P–O bond distances ranging from 1.48–1.60 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 38–43°. There are a spread of P–O bond distances ranging from 1.47–1.61 Å. In the fifteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedral tilt angles are 38°. 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 38–47°. 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 bent 150 degrees geometry to one Li1+ and one P5+ atom. In the second O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the third O2- site, O2- is bonded in a bent 120 degrees geometry to one Li1+ and one P5+ atom. In the fourth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ 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 2-coordinate 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 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 bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the eleventh O2- site, O2- is bonded in a distorted bent 150 degrees geometry to 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 single-bond geometry to one P5+ atom. In the fourteenth O2- site, O2- is bonded in a single-bond geometry to one P5+ atom. In the fifteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+4.67+, and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+4.67+, and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+4.67+, and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two P5+ atoms. In the twentieth O2- site, O2- is bonded in a 2-coordinate geometry to two Li1+ and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a bent 120 degrees geometry to one Li1+ and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+4.67+, and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+4.67+, and one P5+ atom. In the twenty-fifth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the twenty-sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+4.67+, and one P5+ atom. In the twenty-seventh O2- site, O2- is bonded in a distorted bent 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 distorted 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 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 distorted trigonal non-coplanar geometry to one Li1+, one V+4.67+, and one P5+ atom. In the thirty-fourth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the thirty-fifth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Li1+ and one P5+ atom. In the thirty-sixth O2- site, O2- is bonded in a 3-coordinate geometry to two Li1+ and one P5+ atom. In the thirty-seventh O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two P5+ atoms. In the thirty-eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+4.67+, and one P5+ atom. In the thirty-ninth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+

36 MATERIALS SCIENCE↗

Materials Data on Zr3Sc4O12 by Materials Project

Sc4Zr3O12 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twenty inequivalent Sc3+ sites. In the first Sc3+ site, Sc3+ is bonded to six O2- atoms to form ScO6 octahedra that share a cornercorner with one ZrO7 pentagonal bipyramid and an edgeedge with one ZrO7 pentagonal bipyramid. There are a spread of Sc–O bond distances ranging from 2.08–2.16 Å. In the second Sc3+ site, Sc3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sc–O bond distances ranging from 2.09–2.70 Å. In the third Sc3+ site, Sc3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sc–O bond distances ranging from 2.08–2.65 Å. In the fourth Sc3+ site, Sc3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sc–O bond distances ranging from 2.07–2.67 Å. In the fifth Sc3+ site, Sc3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sc–O bond distances ranging from 2.08–2.58 Å. In the sixth Sc3+ site, Sc3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Sc–O bond distances ranging from 2.08–2.24 Å. In the seventh Sc3+ site, Sc3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sc–O bond distances ranging from 2.07–2.68 Å. In the eighth Sc3+ site, Sc3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sc–O bond distances ranging from 2.09–2.70 Å. In the ninth Sc3+ site, Sc3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sc–O bond distances ranging from 2.08–2.58 Å. In the tenth Sc3+ site, Sc3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sc–O bond distances ranging from 2.10–2.63 Å. In the eleventh Sc3+ site, Sc3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sc–O bond distances ranging from 2.07–2.67 Å. In the twelfth Sc3+ site, Sc3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sc–O bond distances ranging from 2.08–2.65 Å. In the thirteenth Sc3+ site, Sc3+ is bonded in an octahedral geometry to six O2- atoms. There are a spread of Sc–O bond distances ranging from 2.08–2.16 Å. In the fourteenth Sc3+ site, Sc3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sc–O bond distances ranging from 2.10–2.64 Å. In the fifteenth Sc3+ site, Sc3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sc–O bond distances ranging from 2.08–2.71 Å. In the sixteenth Sc3+ site, Sc3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Sc–O bond distances ranging from 2.08–2.24 Å. In the seventeenth Sc3+ site, Sc3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sc–O bond distances ranging from 2.11–2.66 Å. In the eighteenth Sc3+ site, Sc3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sc–O bond distances ranging from 2.09–2.71 Å. In the nineteenth Sc3+ site, Sc3+ is bonded to six O2- atoms to form ScO6 octahedra that share a cornercorner with one ZrO7 pentagonal bipyramid and an edgeedge with one ZrO7 pentagonal bipyramid. There are a spread of Sc–O bond distances ranging from 2.08–2.16 Å. In the twentieth Sc3+ site, Sc3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Sc–O bond distances ranging from 2.08–2.22 Å. There are fifteen inequivalent Zr4+ sites. In the first Zr4+ site, Zr4+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Zr–O bond distances ranging from 2.09–2.44 Å. In the second Zr4+ site, Zr4+ is bonded to seven O2- atoms to form distorted ZrO7 pentagonal bipyramids that share a cornercorner with one ScO6 octahedra and an edgeedge with one ScO6 octahedra. The corner-sharing octahedral tilt angles are 47°. There are a spread of Zr–O bond distances ranging from 2.08–2.39 Å. In the third Zr4+ site, Zr4+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Zr–O bond distances ranging from 2.10–2.53 Å. In the fourth Zr4+ site, Zr4+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Zr–O bond distances ranging from 2.08–2.45 Å. In the fifth Zr4+ site, Zr4+ is bonded to seven O2- atoms to form distorted ZrO7 pentagonal bipyramids that share a cornercorner with one ScO6 octahedra and an edgeedge with one ScO6 octahedra. The corner-sharing octahedral tilt angles are 47°. There are a spread of Zr–O bond distances ranging from 2.08–2.40 Å. In the sixth Zr4+ site, Zr4+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Zr–O bond distances ranging from 2.09–2.42 Å. In the seventh Zr4+ site, Zr4+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Zr–O bond distances ranging from 2.08–2.45 Å. In the eighth Zr4+ site, Zr4+ is bonded to seven O2- atoms to form a mixture of distorted edge and corner-sharing ZrO7 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 44°. There are a spread of Zr–O bond distances ranging from 2.06–2.40 Å. In the ninth Zr4+ site, Zr4+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Zr–O bond distances ranging from 2.09–2.42 Å. In the tenth Zr4+ site, Zr4+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Zr–O bond distances ranging from 2.07–2.45 Å. In the eleventh Zr4+ site, Zr4+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Zr–O bond distances ranging from 2.07–2.45 Å. In the twelfth Zr4+ site, Zr4+ is bonded in an octahedral geometry to six O2- atoms. There are a spread of Zr–O bond distances ranging from 2.07–2.13 Å. In the thirteenth Zr4+ site, Zr4+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Zr–O bond distances ranging from 2.09–2.41 Å. In the fourteenth Zr4+ site, Zr4+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Zr–O bond distances ranging from 2.09–2.53 Å. In the fifteenth Zr4+ site, Zr4+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing ZrO6 octahedra. There are a spread of Zr–O bond distances ranging from 2.07–2.14 Å. There are sixty inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to two Sc3+ and two Zr4+ atoms. In the second O2- site, O2- is bonded in a 3-coordinate geometry to two Sc3+ and two Zr4+ atoms. In the third O2- site, O2- is bonded to two Sc3+ and two Zr4+ atoms to form distorted OZr2Sc2 tetrahedra that share corners with ten OZrSc3 tetrahedra and edges with three OZr3Sc tetrahedra. In the fourth O2- site, O2- is bonded to two Sc3+ and two Zr4+ atoms to form distorted OZr2Sc2 tetrahedra that share corners with seven OZr2Sc2 tetrahedra and edges with three OZrSc3 tetrahedra. In the fifth O2- site, O2- is bonded in a 3-coordinate geometry to two Sc3+ and two Zr4+ atoms. In the sixth O2- site, O2- is bonded to two Sc3+ and two Zr4+ atoms to form distorted OZr2Sc2 tetrahedra that share corners with ten OZr2Sc2 tetrahedra and edges with three OZr3Sc tetrahedra. In the seventh O2- site, O2- is bonded in a 3-coordinate geometry to two Sc3+ and two Zr4+ atoms. In the eighth O2- site, O2- is bonded to one Sc3+ and three Zr4+ atoms to form a mixture of distorted edge and corner-sharing OZr3Sc tetrahedra. In the ninth O2- site, O2- is bonded in a 3-coordinate geometry to two Sc3+ and two Zr4+ atoms. In the tenth O2- site, O2- is bonded to two Sc3+ and two Zr4+ atoms to form distorted OZr2Sc2 tetrahedra that share corners with seven OZrSc3 tetrahedra and edges with three OZr2Sc2 tetrahedra. In the eleventh O2- site, O2- is bonded to two Sc3+ and two Zr4+ atoms to form a mixture of distorted edge and corner-sharing OZr2Sc2 tetrahedra. In the twelfth O2- site, O2- is bonded to two Sc3+ and two Zr4+ atoms to form a mixture of distorted edge and corner-sharing OZr2Sc2 tetrahedra. In the thirteenth O2- site, O2- is bonded to two Sc3+ and two Zr4+ atoms to form distorted OZr2Sc2 tetrahedra that share corners with eight OZrSc3 tetrahedra and edges with four OZr2Sc2 tetrahedra. In the fourteenth O2- site, O2- is bonded to one Sc3+ and three Zr4+ atoms to form a mixture of distorted edge and corner-sharing OZr3Sc tetrahedra. In the fifteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Sc3+ and three Zr4+ atoms. In the sixteenth O2- site, O2- is bonded to one Sc3+ and three Zr4+ atoms to form distorted OZr3Sc tetrahedra that share corners with ten OZr2Sc2 tetrahedra and edges with four OZr3Sc tetrahedra. In the seventeenth O2- site, O2- is bonded to three Sc3+ and one Zr4+ atom to form distorted OZrSc3 tetrahedra that share corners with six OZrSc3 tetrahedra and edges with three OZr2Sc2 tetrahedra. In the eighteenth O2- site, O2- is bonded to two Sc3+ and two Zr4+ atoms to form distorted OZr2Sc2 tetrahedra that share corners with nine OZrSc3 tetrahedra and edges with four OZr2Sc2 tetrahedra. In the nineteenth O2- site, O2- is bonded to three Sc3+ and one Zr4+ atom to form a mixture of distorted edge and corner-sharing OZrSc3 tetrahedra. In the twentieth O2- site, O2- is bonded to two Sc3+ and two Zr4+ atoms to form distorted OZr2Sc2 tetrahedra that share corners with eight OZr3Sc tetrahedra and edges with two OZrSc3 tetrahedra. In the twenty-first O2- site, O2- is bonded to two Sc3+ and two Zr4+ atoms to form a mixture of distorted edge and corner-sharing OZr2Sc2 tetrahedra. In the twenty-second O2- site, O2- is bonded to one Sc3+ and three Zr4+ atoms to form a mixture of distorted edge and corner-sharing OZr3Sc tetrahedra. In the twenty-third O2- site, O2- is bonded in a 3-coordinate geometry to three Sc3+ and one Zr4+ atom. In the twenty-fourth O2- site, O2- is bonded in a 3-coordinate geometry to three Zr4+ atoms. In the twenty-fifth O2- site, O2- is bonded to one Sc3+ and three Zr4+ atoms to form distorted OZr3Sc tetrahedra that share corners with ten OZr2Sc2 tetrahedra and edges with four OZrSc3 tetrahedra. In the twenty-sixth O2- site, O2- is bonded to two Sc3+ and two Zr4+ atoms to form distorted OZr2Sc2 tetrahedra that share corners with eleven OZrSc3 tetrahedra and edges with four OZr3Sc tetrahedra. In the twenty-seventh O2- site, O2- is bonded to two Sc3+ and two Zr4+ atoms to form distorted OZr2Sc2 tetrahedra that share corners with nine OZr3Sc tetrahedra and edges with four OZr2Sc2 tetrahedra. In the twenty-eighth O2- site, O2- is bonded to three Sc3+ and one Zr4+ atom to form distorted OZrSc3 tetrahedra that share corners with ten OZr2Sc2 tetrahedra and edges with four OZrSc3 tetrahedra. In the twenty-ninth O2- site, O2- is bonded to two Sc3+ and two Zr4+ atoms to form distorted OZr2Sc2 tetrahedra that share corners with eight OZrSc3 tetrahedra and edges with four OZr3Sc tetrahedra. In the thirtieth O2- site, O2- is bonded to three Sc3+ and one Zr4+ atom to form a mixture of distorted edge and corner-sharing OZrSc3 tetrahedra. In the thirty-first O2- site, O2- is bonded to two Sc3+ and two Zr4+ atoms to form distorted OZr2Sc2 tetrahedra that share corners with six OZrSc3 tetrahedra and edges with four OZr2Sc2 tetrahedra. In the thirty-second O2- site, O2- is bonded in a 3-coordinate geometry to three Sc3+ and one Zr4+ atom. In the thirty-third O2- site, O2- is bonded to one Sc3+ and three Zr4+ atoms to form distorted OZr3Sc tetrahedra that share corners with ten OZr2Sc2 tetrahedra and edges with four OZrSc3 tetrahedra. In the thirty-fourth O2- site, O2- is bonded to two Sc3+ and two Zr4+ atoms to form distorted OZr2Sc2 tetrahedra that share corners with eleven OZr2Sc2 tetrahedra and edges with four OZrSc3 tetrahedra. In the thirty-fifth O2- site, O2- is bonded to three Sc3+ and one Zr4+ atom to form distorted OZrSc3 tetrahedra that share corners with seven OZr2Sc2 tetrahedra and edges with four OZr3Sc tetrahedra. In the thirty-sixth O2- site, O2- is

36 MATERIALS SCIENCE↗

Materials Data on Rb8W13O43 by Materials Project

Rb8W13O43 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Rb1+ sites. In the first Rb1+ site, Rb1+ is bonded in a 1-coordinate geometry to two O2- atoms. There are one shorter (2.68 Å) and one longer (2.97 Å) Rb–O bond lengths. In the second Rb1+ site, Rb1+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Rb–O bond distances ranging from 2.84–3.37 Å. In the third Rb1+ site, Rb1+ is bonded in a 1-coordinate geometry to one O2- atom. The Rb–O bond length is 2.67 Å. In the fourth Rb1+ site, Rb1+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Rb–O bond distances ranging from 2.80–3.42 Å. In the fifth Rb1+ site, Rb1+ is bonded in a 1-coordinate geometry to one O2- atom. The Rb–O bond length is 2.69 Å. In the sixth Rb1+ site, Rb1+ is bonded in a 1-coordinate geometry to six O2- atoms. There are a spread of Rb–O bond distances ranging from 2.80–3.46 Å. In the seventh Rb1+ site, Rb1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Rb–O bond distances ranging from 2.82–3.43 Å. In the eighth Rb1+ site, Rb1+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Rb–O bond distances ranging from 2.78–3.46 Å. There are thirteen inequivalent W6+ sites. In the first W6+ site, W6+ is bonded to five O2- atoms to form WO5 trigonal bipyramids that share corners with three WO6 octahedra and a cornercorner with one WO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 33–39°. There are a spread of W–O bond distances ranging from 1.74–1.98 Å. In the second W6+ site, W6+ is bonded to six O2- atoms to form WO6 octahedra that share a cornercorner with one WO6 octahedra and corners with three WO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 37°. There are a spread of W–O bond distances ranging from 1.82–2.11 Å. In the third W6+ site, W6+ is bonded to five O2- atoms to form WO5 trigonal bipyramids that share corners with two equivalent WO6 octahedra and corners with two WO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 36–38°. There are a spread of W–O bond distances ranging from 1.75–1.98 Å. In the fourth W6+ site, W6+ is bonded to six O2- atoms to form corner-sharing WO6 octahedra. There are a spread of W–O bond distances ranging from 1.83–2.09 Å. In the fifth W6+ site, W6+ is bonded to five O2- atoms to form WO5 trigonal bipyramids that share corners with two WO6 octahedra and corners with two WO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 34–39°. There are a spread of W–O bond distances ranging from 1.75–1.98 Å. In the sixth W6+ site, W6+ is bonded to six O2- atoms to form WO6 octahedra that share a cornercorner with one WO6 octahedra and corners with three WO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 35°. There are a spread of W–O bond distances ranging from 1.84–2.04 Å. In the seventh W6+ site, W6+ is bonded to six O2- atoms to form corner-sharing WO6 octahedra. The corner-sharing octahedra tilt angles range from 30–45°. There are a spread of W–O bond distances ranging from 1.88–2.18 Å. In the eighth W6+ site, W6+ is bonded to five O2- atoms to form WO5 trigonal bipyramids that share corners with two WO6 octahedra and corners with two WO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 38–39°. There are a spread of W–O bond distances ranging from 1.75–1.98 Å. In the ninth W6+ site, W6+ is bonded to six O2- atoms to form WO6 octahedra that share corners with four WO6 octahedra and a cornercorner with one WO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 30–37°. There are a spread of W–O bond distances ranging from 1.77–2.11 Å. In the tenth W6+ site, W6+ is bonded to six O2- atoms to form corner-sharing WO6 octahedra. The corner-sharing octahedra tilt angles range from 34–45°. There are a spread of W–O bond distances ranging from 1.90–1.98 Å. In the eleventh W6+ site, W6+ is bonded to six O2- atoms to form corner-sharing WO6 octahedra. The corner-sharing octahedra tilt angles range from 30–41°. There are a spread of W–O bond distances ranging from 1.86–2.15 Å. In the twelfth W6+ site, W6+ is bonded to six O2- atoms to form WO6 octahedra that share corners with four WO6 octahedra and a cornercorner with one WO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 30–37°. There are a spread of W–O bond distances ranging from 1.77–2.15 Å. In the thirteenth W6+ site, W6+ is bonded to five O2- atoms to form distorted WO5 trigonal bipyramids that share corners with three WO6 octahedra and a cornercorner with one WO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 35–37°. There are a spread of W–O bond distances ranging from 1.75–1.97 Å. There are forty-three inequivalent O2- sites. In the first O2- site, O2- is bonded in a 2-coordinate geometry to one Rb1+ and two W6+ atoms. In the second O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Rb1+ and one W6+ atom. In the third O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Rb1+ and two W6+ atoms. In the fourth O2- site, O2- is bonded in a 2-coordinate geometry to one Rb1+ and two W6+ atoms. In the fifth O2- site, O2- is bonded in a bent 150 degrees geometry to two W6+ atoms. In the sixth O2- site, O2- is bonded in a 2-coordinate geometry to one Rb1+ and two W6+ atoms. In the seventh O2- site, O2- is bonded in a 1-coordinate geometry to one Rb1+ and one W6+ atom. In the eighth O2- site, O2- is bonded in a 2-coordinate geometry to two Rb1+ and one W6+ atom. In the ninth O2- site, O2- is bonded in a 2-coordinate geometry to one Rb1+ and two W6+ atoms. In the tenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two W6+ atoms. In the eleventh O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Rb1+ and two W6+ atoms. In the twelfth O2- site, O2- is bonded in a bent 150 degrees geometry to two W6+ atoms. In the thirteenth O2- site, O2- is bonded in a 2-coordinate geometry to one Rb1+ and two W6+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted single-bond geometry to one Rb1+ and one W6+ atom. In the fifteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Rb1+ and two W6+ atoms. In the sixteenth O2- site, O2- is bonded in a distorted single-bond geometry to one Rb1+ and one W6+ atom. In the seventeenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Rb1+ and two W6+ atoms. In the eighteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Rb1+ and one W6+ atom. In the nineteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two W6+ atoms. In the twentieth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two W6+ atoms. In the twenty-first O2- site, O2- is bonded in a 1-coordinate geometry to two Rb1+ and one W6+ atom. In the twenty-second O2- site, O2- is bonded in a bent 150 degrees geometry to two W6+ atoms. In the twenty-third O2- site, O2- is bonded in a 1-coordinate geometry to two Rb1+ and one W6+ atom. In the twenty-fourth O2- site, O2- is bonded in a 2-coordinate geometry to one Rb1+ and two W6+ atoms. In the twenty-fifth O2- site, O2- is bonded in a 2-coordinate geometry to one Rb1+ and two W6+ atoms. In the twenty-sixth O2- site, O2- is bonded in a distorted single-bond geometry to one Rb1+ and one W6+ atom. In the twenty-seventh O2- site, O2- is bonded in a distorted single-bond geometry to one Rb1+ and one W6+ atom. In the twenty-eighth O2- site, O2- is bonded in a bent 150 degrees geometry to two W6+ atoms. In the twenty-ninth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Rb1+ and two W6+ atoms. In the thirtieth O2- site, O2- is bonded in a 2-coordinate geometry to one Rb1+ and two W6+ atoms. In the thirty-first O2- site, O2- is bonded in a 2-coordinate geometry to one Rb1+ and two W6+ atoms. In the thirty-second O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two Rb1+ and two W6+ atoms. In the thirty-third O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Rb1+ and two W6+ atoms. In the thirty-fourth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two Rb1+ and two W6+ atoms. In the thirty-fifth O2- site, O2- is bonded in a 2-coordinate geometry to one Rb1+ and two W6+ atoms. In the thirty-sixth O2- site, O2- is bonded in a 1-coordinate geometry to one Rb1+ and one W6+ atom. In the thirty-seventh O2- site, O2- is bonded in a bent 150 degrees geometry to two W6+ atoms. In the thirty-eighth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two Rb1+ and two W6+ atoms. In the thirty-ninth O2- site, O2- is bonded in a bent 150 degrees geometry to two W6+ atoms. In the fortieth O2- site, O2- is bonded in a 1-coordinate geometry to two Rb1+ and one W6+ atom. In the forty-first O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Rb1+ and two W6+ atoms. In the forty-second O2- site, O2- is bonded in a bent 150 degrees geometry to two W6+ atoms. In the forty-third O2- site, O2- is bonded in a 1-coordinate geometry to one Rb1+ and one W6+ atom.

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 rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 2.22–2.30 Å. In the second Li1+ site, Li1+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 2.22–2.34 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 2.17–2.49 Å. In the fourth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.09–2.52 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 2.16–2.51 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 2.11–2.50 Å. In the seventh Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.20–2.48 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 2.08–2.53 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 2.12–2.50 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 2.16–2.47 Å. In the eleventh Li1+ site, Li1+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 2.14–2.40 Å. In the twelfth Li1+ site, Li1+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 2.17–2.38 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 an edgeedge with one MnO6 octahedra. There are a spread of V–O bond distances ranging from 1.97–2.20 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 VO6 octahedra. There are a spread of V–O bond distances ranging from 1.94–2.14 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 MnO6 octahedra. There are a spread of V–O bond distances ranging from 1.96–2.15 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 VO6 octahedra. There are a spread of V–O bond distances ranging from 1.95–2.18 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 an edgeedge with one MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.94–2.34 Å. In the second Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one VO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.94–2.29 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 an edgeedge with one MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.95–2.38 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 an edgeedge with one VO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.95–2.34 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 VO6 octahedra and corners with three MnO6 octahedra. The corner-sharing octahedra tilt angles range from 53–55°. There are a spread of P–O bond distances ranging from 1.55–1.57 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and corners with two MnO6 octahedra. The corner-sharing octahedra tilt angles range from 39–61°. 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 corners with two VO6 octahedra and corners with two MnO6 octahedra. The corner-sharing octahedra tilt angles range from 38–60°. There is one shorter (1.52 Å) and three longer (1.56 Å) P–O bond length. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra and corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 54–55°. There is two shorter (1.55 Å) and two longer (1.56 Å) P–O bond length. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and corners with two MnO6 octahedra. The corner-sharing octahedra tilt angles range from 37–61°. There is one shorter (1.52 Å) and three longer (1.57 Å) P–O bond length. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four VO6 octahedra. The corner-sharing octahedra tilt angles range from 42–58°. 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 corners with two VO6 octahedra and corners with two MnO6 octahedra. The corner-sharing octahedra tilt angles range from 43–57°. There are a spread of P–O bond distances ranging from 1.52–1.59 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four MnO6 octahedra. The corner-sharing octahedra tilt angles range from 40–60°. There are a spread of P–O bond distances ranging from 1.52–1.58 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 corners with two MnO6 octahedra. The corner-sharing octahedra tilt angles range from 53–56°. There is one shorter (1.55 Å) and three longer (1.56 Å) P–O bond length. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and corners with two MnO6 octahedra. The corner-sharing octahedra tilt angles range from 45–57°. 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 corners with two MnO6 octahedra. The corner-sharing octahedra tilt angles range from 44–57°. There are a spread of P–O bond distances ranging from 1.52–1.60 Å. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and corners with two MnO6 octahedra. The corner-sharing octahedra tilt angles range from 53–55°. There is one shorter (1.55 Å) and three longer (1.56 Å) P–O bond length. There are forty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, one Mn2+, and one P5+ atom. In the second O2- site, O2- is bonded in a 3-coordinate geometry to two Mn2+ and one P5+ atom. In the third O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one V4+, and one P5+ atom. In the fourth O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, one V4+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Mn2+, and one P5+ atom. In the sixth O2- site, O2- is bonded to two Li1+, one Mn2+, and one P5+ atom to form distorted OLi2MnP tetrahedra that share corners with two OLi2VP trigonal pyramids and an edgeedge with one OLi2MnP trigonal pyramid. In the seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn2+, and one P5+ atom. In the eighth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one V4+, and one P5+ atom. In the ninth O2- site, O2- is bonded in a 3-coordinate geometry to one V4+, one Mn2+, 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 distorted trigonal non-coplanar geometry to one Li1+, one Mn2+, and one P5+ atom. In the twelfth O2- site, O2- is bonded to two Li1+, one V4+, and one P5+ atom to form distorted OLi2VP trigonal pyramids that share corners with two OLi2VP trigonal pyramids and an edgeedge with one OLi2MnP trigonal pyramid. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to three Li1+ and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a 3-coordinate geometry to one V4+, one Mn2+, and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, one V4+, and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn2+, and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V4+, and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a 4-coordinate geometry to three Li1+ and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one V4+, and one P5+ atom. In the twentieth O2- site, O2- is bonded in a 4-coordinate geometry to three Li1+ and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a 3-coordinate geometry to two V4+ and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a 4-coordinate geometry to three Li1+ and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, one V4+, and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V4+, and one P5+ atom. In the twenty-fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V4+, and one P5+ atom. In the twenty-sixth O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, one Mn2+, and one P5+ atom. In the twenty-seventh O2- site, O2- is bonded in a 4-coordinate geometry to three Li1+ and one P5+ atom. In the twenty-eighth O2- site, O2- is bonded in a 3-coordinate geometry to two V4+ and one P5+ atom. In the twenty-ninth O2- site, O2- is bonded in a 4-coordinate geometry to three Li1+ and one P5+ atom. In the thirtieth O2- site, O2- is bonded to two Li1+, one Mn2+, and one P5+ atom to form distorted corner-sharing OLi2MnP trigonal pyramids. In the thirty-first O2- site, O2- is bonded in a 4-coordinate geometry to three Li1+ and one P5+ atom. In the thirty-second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn2+, and one P5+ atom. In the thirty-third O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V4+, and one P5+ atom. In the thirty-fourth O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, one V4+, and one P5+ atom. In the thirty-fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to one V4+, one Mn2+, and one P5+ atom. In the thirty-sixth O2- site, O2- is bonded in a 4-coordinate geometry to three Li1+ and one P5+ atom. In the thirty-seventh O2- site, O2- is bonded to two Li1+, one Mn2+, and one P5+ atom to form distorted OLi2MnP trigonal pyramids that share corners with two OLi2VP trigonal pyramids and an edgeedge with one OLi2MnP tetrahedra. In the thirty-eighth O2- sit

36 MATERIALS SCIENCE↗

Materials Data on Y2Sb2O7 by Materials Project

Y2Sb2O7 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twelve inequivalent Y3+ sites. In the first Y3+ site, Y3+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Y–O bond distances ranging from 2.34–2.60 Å. In the second Y3+ site, Y3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Y–O bond distances ranging from 2.19–2.40 Å. In the third Y3+ site, Y3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Y–O bond distances ranging from 2.23–2.60 Å. In the fourth Y3+ site, Y3+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Y–O bond distances ranging from 2.34–2.60 Å. In the fifth Y3+ site, Y3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Y–O bond distances ranging from 2.23–2.58 Å. In the sixth Y3+ site, Y3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Y–O bond distances ranging from 2.19–2.41 Å. In the seventh Y3+ site, Y3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Y–O bond distances ranging from 2.23–2.59 Å. In the eighth Y3+ site, Y3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Y–O bond distances ranging from 2.23–2.59 Å. In the ninth Y3+ site, Y3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Y–O bond distances ranging from 2.23–2.59 Å. In the tenth Y3+ site, Y3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Y–O bond distances ranging from 2.23–2.58 Å. In the eleventh Y3+ site, Y3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Y–O bond distances ranging from 2.19–2.40 Å. In the twelfth Y3+ site, Y3+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Y–O bond distances ranging from 2.34–2.60 Å. There are eleven inequivalent Sb4+ sites. In the first Sb4+ site, Sb4+ is bonded to six O2- atoms to form distorted corner-sharing SbO6 octahedra. The corner-sharing octahedra tilt angles range from 57–62°. There are a spread of Sb–O bond distances ranging from 2.22–2.43 Å. In the second Sb4+ site, Sb4+ is bonded in a 2-coordinate geometry to four O2- atoms. There are a spread of Sb–O bond distances ranging from 2.05–2.53 Å. In the third Sb4+ site, Sb4+ is bonded to six O2- atoms to form corner-sharing SbO6 octahedra. The corner-sharing octahedra tilt angles range from 37–62°. There are a spread of Sb–O bond distances ranging from 1.99–2.03 Å. In the fourth Sb4+ site, Sb4+ is bonded to six O2- atoms to form corner-sharing SbO6 octahedra. The corner-sharing octahedra tilt angles range from 36–61°. There are a spread of Sb–O bond distances ranging from 1.99–2.03 Å. In the fifth Sb4+ site, Sb4+ is bonded to six O2- atoms to form corner-sharing SbO6 octahedra. The corner-sharing octahedra tilt angles range from 37–62°. There are a spread of Sb–O bond distances ranging from 1.99–2.03 Å. In the sixth Sb4+ site, Sb4+ is bonded in a 2-coordinate geometry to four O2- atoms. There are a spread of Sb–O bond distances ranging from 2.05–2.53 Å. In the seventh Sb4+ site, Sb4+ is bonded to six O2- atoms to form distorted corner-sharing SbO6 octahedra. The corner-sharing octahedra tilt angles range from 57–62°. There are a spread of Sb–O bond distances ranging from 2.22–2.44 Å. In the eighth Sb4+ site, Sb4+ is bonded to six O2- atoms to form distorted corner-sharing SbO6 octahedra. The corner-sharing octahedra tilt angles range from 57–62°. There are a spread of Sb–O bond distances ranging from 2.23–2.43 Å. In the ninth Sb4+ site, Sb4+ is bonded in a 2-coordinate geometry to four O2- atoms. There are a spread of Sb–O bond distances ranging from 2.05–2.53 Å. In the tenth Sb4+ site, Sb4+ is bonded to six O2- atoms to form corner-sharing SbO6 octahedra. The corner-sharing octahedra tilt angles range from 37–62°. There are a spread of Sb–O bond distances ranging from 1.99–2.03 Å. In the eleventh Sb4+ site, Sb4+ is bonded to six O2- atoms to form corner-sharing SbO6 octahedra. The corner-sharing octahedra tilt angles range from 37–61°. There are a spread of Sb–O bond distances ranging from 1.99–2.03 Å. There are forty-two inequivalent O2- sites. In the first O2- site, O2- is bonded to three Y3+ and one Sb4+ atom to form a mixture of edge and corner-sharing OY3Sb tetrahedra. In the second O2- site, O2- is bonded to two Y3+ and two Sb4+ atoms to form distorted OY2Sb2 tetrahedra that share corners with ten OY2Sb2 tetrahedra and edges with three OY3Sb tetrahedra. In the third O2- site, O2- is bonded in a 4-coordinate geometry to two Y3+ and two Sb4+ atoms. In the fourth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two Sb4+ atoms. In the fifth O2- site, O2- is bonded to three Y3+ and one Sb4+ atom to form OY3Sb tetrahedra that share corners with ten OY3Sb tetrahedra and edges with three OY2Sb2 tetrahedra. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to two Y3+ and one Sb4+ atom. In the seventh O2- site, O2- is bonded to three Y3+ and one Sb4+ atom to form a mixture of edge and corner-sharing OY3Sb tetrahedra. In the eighth O2- site, O2- is bonded to two Y3+ and two Sb4+ atoms to form distorted OY2Sb2 tetrahedra that share corners with eight OY2Sb2 tetrahedra and edges with three OY3Sb tetrahedra. In the ninth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two Sb4+ atoms. In the tenth O2- site, O2- is bonded in a 3-coordinate geometry to two Y3+ and one Sb4+ atom. In the eleventh O2- site, O2- is bonded to two Y3+ and two Sb4+ atoms to form distorted OY2Sb2 tetrahedra that share corners with eight OY2Sb2 tetrahedra and edges with three OY3Sb tetrahedra. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to two Y3+ and two Sb4+ atoms. In the thirteenth O2- site, O2- is bonded to three Y3+ and one Sb4+ atom to form OY3Sb tetrahedra that share corners with six OY2Sb2 tetrahedra and edges with four OY3Sb tetrahedra. In the fourteenth O2- site, O2- is bonded to two Y3+ and two Sb4+ atoms to form a mixture of distorted edge and corner-sharing OY2Sb2 tetrahedra. In the fifteenth O2- site, O2- is bonded to two Y3+ and two Sb4+ atoms to form distorted OY2Sb2 tetrahedra that share corners with ten OY2Sb2 tetrahedra and edges with three OY3Sb tetrahedra. The O–Sb bond length is 2.03 Å. In the sixteenth O2- site, O2- is bonded to three Y3+ and one Sb4+ atom to form OY3Sb tetrahedra that share corners with six OY3Sb tetrahedra and edges with four OY2Sb2 tetrahedra. In the seventeenth O2- site, O2- is bonded in a 3-coordinate geometry to two Y3+ and one Sb4+ atom. In the eighteenth O2- site, O2- is bonded to two Y3+ and two Sb4+ atoms to form distorted OY2Sb2 tetrahedra that share corners with ten OY3Sb tetrahedra and edges with three OY2Sb2 tetrahedra. In the nineteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Y3+ and two Sb4+ atoms. In the twentieth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two Sb4+ atoms. The O–Sb bond length is 1.99 Å. In the twenty-first O2- site, O2- is bonded to two Y3+ and two Sb4+ atoms to form a mixture of distorted edge and corner-sharing OY2Sb2 tetrahedra. In the twenty-second O2- site, O2- is bonded to three Y3+ and one Sb4+ atom to form OY3Sb tetrahedra that share corners with ten OY2Sb2 tetrahedra and edges with three OY3Sb tetrahedra. In the twenty-third O2- site, O2- is bonded in a 4-coordinate geometry to two Y3+ and two Sb4+ atoms. The O–Sb bond length is 2.03 Å. In the twenty-fourth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two Sb4+ atoms. In the twenty-fifth O2- site, O2- is bonded to three Y3+ and one Sb4+ atom to form OY3Sb tetrahedra that share corners with ten OY3Sb tetrahedra and edges with three OY2Sb2 tetrahedra. In the twenty-sixth O2- site, O2- is bonded to three Y3+ and one Sb4+ atom to form a mixture of edge and corner-sharing OY3Sb tetrahedra. In the twenty-seventh O2- site, O2- is bonded in a 3-coordinate geometry to two Y3+ and one Sb4+ atom. The O–Sb bond length is 2.00 Å. In the twenty-eighth O2- site, O2- is bonded to three Y3+ and one Sb4+ atom to form a mixture of edge and corner-sharing OY3Sb tetrahedra. In the twenty-ninth O2- site, O2- is bonded to two Y3+ and two Sb4+ atoms to form a mixture of distorted edge and corner-sharing OY2Sb2 tetrahedra. In the thirtieth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two Sb4+ atoms. The O–Sb bond length is 1.99 Å. In the thirty-first O2- site, O2- is bonded in a 3-coordinate geometry to two Y3+ and one Sb4+ atom. In the thirty-second O2- site, O2- is bonded to two Y3+ and two Sb4+ atoms to form a mixture of distorted edge and corner-sharing OY2Sb2 tetrahedra. In the thirty-third O2- site, O2- is bonded in a 4-coordinate geometry to two Y3+ and two Sb4+ atoms. In the thirty-fourth O2- site, O2- is bonded to three Y3+ and one Sb4+ atom to form OY3Sb tetrahedra that share corners with six OY3Sb tetrahedra and edges with four OY2Sb2 tetrahedra. In the thirty-fifth O2- site, O2- is bonded to two Y3+ and two Sb4+ atoms to form a mixture of distorted edge and corner-sharing OY2Sb2 tetrahedra. The O–Sb bond length is 2.02 Å. In the thirty-sixth O2- site, O2- is bonded to two Y3+ and two Sb4+ atoms to form a mixture of distorted edge and corner-sharing OY2Sb2 tetrahedra. In the thirty-seventh O2- site, O2- is bonded in a 3-coordinate geometry to two Y3+ and one Sb4+ atom. In the thirty-eighth O2- site, O2- is bonded in a 4-coordinate geometry to two Y3+ and two Sb4+ atoms. In the thirty-ninth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two Sb4+ atoms. In the fortieth O2- site, O2- is bonded to two Y3+ and two Sb4+ atoms to form a mixture of distorted edge and corner-sharing OY2Sb2 tetrahedra. In the forty-first O2- site, O2- is bonded to three Y3+ and one Sb4+ atom to form a mixture of edge and corner-sharing OY3Sb tetrahedra. In the forty-second O2- site, O2- is bonded to three Y3+ and one Sb4+ atom to form a mixture of edge and corner-sharing OY3Sb tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on Li5Mn2(PO4)3 by Materials Project

Li5Mn2(PO4)3 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twenty inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a 4-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.94–2.69 Å. In the second Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.97–2.39 Å. In the third Li1+ site, Li1+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.96–2.16 Å. In the fourth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.98–2.08 Å. In the fifth Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.90–2.57 Å. In the sixth Li1+ site, Li1+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.96–2.22 Å. In the seventh Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 square pyramids that share corners with three PO4 tetrahedra and an edgeedge with one PO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.95–2.25 Å. In the eighth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 1.92–2.46 Å. In the ninth Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.99–2.63 Å. In the tenth Li1+ site, Li1+ is bonded in a 3-coordinate geometry to three O2- atoms. There are a spread of Li–O bond distances ranging from 1.94–2.09 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 1.96–2.35 Å. In the twelfth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 square pyramids that share corners with three PO4 tetrahedra, an edgeedge with one MnO6 octahedra, and an edgeedge with one PO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.95–2.28 Å. In the thirteenth Li1+ site, Li1+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.96–2.25 Å. In the fourteenth Li1+ site, Li1+ is bonded in a 2-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.85–2.49 Å. In the fifteenth Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.89–2.41 Å. In the sixteenth Li1+ site, Li1+ is bonded in a distorted T-shaped geometry to three O2- atoms. There are a spread of Li–O bond distances ranging from 1.80–1.94 Å. In the seventeenth Li1+ site, Li1+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.96–2.12 Å. In the eighteenth Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.96–2.71 Å. In the nineteenth Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.91–2.34 Å. In the twentieth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.78–2.09 Å. There are eight inequivalent Mn2+ sites. In the first Mn2+ site, Mn2+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Mn–O bond distances ranging from 2.01–2.67 Å. In the second Mn2+ site, Mn2+ is bonded in a 4-coordinate geometry to five O2- atoms. There are a spread of Mn–O bond distances ranging from 2.01–2.49 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. There are a spread of Mn–O bond distances ranging from 2.08–2.42 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 an edgeedge with one LiO5 square pyramid. There are a spread of Mn–O bond distances ranging from 2.06–2.36 Å. In the fifth Mn2+ site, Mn2+ is bonded in a 4-coordinate geometry to five O2- atoms. There are a spread of Mn–O bond distances ranging from 1.99–2.78 Å. In the sixth Mn2+ site, Mn2+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Mn–O bond distances ranging from 2.01–2.48 Å. In the seventh Mn2+ site, Mn2+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Mn–O bond distances ranging from 2.13–2.68 Å. In the eighth Mn2+ site, Mn2+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Mn–O bond distances ranging from 2.12–2.54 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. The corner-sharing octahedral tilt angles are 38°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra and a cornercorner with one LiO5 square pyramid. The corner-sharing octahedral tilt angles are 37°. There are a spread of P–O bond distances ranging from 1.51–1.59 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two MnO6 octahedra. The corner-sharing octahedra tilt angles range from 43–49°. 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 MnO6 octahedra and a cornercorner with one LiO5 square pyramid. The corner-sharing octahedral tilt angles are 36°. There are a spread of P–O bond distances ranging from 1.52–1.58 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two MnO6 octahedra and an edgeedge with one LiO5 square pyramid. The corner-sharing octahedra tilt angles range from 48–50°. There are a spread of P–O bond distances ranging from 1.55–1.57 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra and a cornercorner with one LiO5 square pyramid. The corner-sharing octahedral tilt angles are 47°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra and a cornercorner with one LiO5 square pyramid. The corner-sharing octahedral tilt angles are 35°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share an edgeedge with one LiO5 square pyramid. There are a spread of P–O bond distances ranging from 1.54–1.59 Å. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra and a cornercorner with one LiO5 square pyramid. The corner-sharing octahedral tilt angles are 56°. There are a spread of P–O bond distances ranging from 1.53–1.58 Å. In the tenth P5+ site, P5+ is bonded in a tetrahedral geometry to four O2- atoms. There are a spread of P–O bond distances ranging from 1.55–1.57 Å. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra and a cornercorner with one LiO5 square pyramid. The corner-sharing octahedral tilt angles are 58°. There are a spread of P–O bond distances ranging from 1.53–1.57 Å. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra. The corner-sharing octahedral tilt angles are 29°. There are a spread of P–O bond distances ranging from 1.54–1.59 Å. There are forty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn2+, and one P5+ atom. In the second O2- site, O2- is bonded in a distorted trigonal pyramidal geometry to two Li1+, one Mn2+, and one P5+ atom. In the third O2- site, O2- is bonded in a 2-coordinate geometry to two Li1+, one Mn2+, and one P5+ atom. In the fourth O2- site, O2- is bonded to two Li1+, one Mn2+, and one P5+ atom to form distorted corner-sharing OLi2MnP tetrahedra. In the fifth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn2+, and one P5+ atom. In the sixth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn2+ and one P5+ atom. In the seventh O2- site, O2- is bonded in a 5-coordinate geometry to three Li1+, one Mn2+, and one P5+ atom. In the eighth O2- site, O2- is bonded to two Li1+, one Mn2+, and one P5+ atom to form distorted corner-sharing OLi2MnP tetrahedra. In the ninth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Mn2+, and one P5+ atom. In the tenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn2+, and one P5+ atom. In the eleventh O2- site, O2- is bonded in a 4-coordinate geometry to three Li1+ and one P5+ atom. In the twelfth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Mn2+ and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Li1+, one Mn2+, and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a 2-coordinate geometry to two Li1+, one Mn2+, and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a 5-coordinate geometry to three Li1+, one Mn2+, and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn2+, and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn2+ and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a 2-coordinate geometry to two Li1+, one Mn2+, and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a 5-coordinate geometry to three Li1+, one Mn2+, and one P5+ atom. In the twentieth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Mn2+, and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Mn2+, and one P5+ atom. In the twenty-second O2- site, O2- is bonded to two Li1+, one Mn2+, and one P5+ atom to form corner-sharing OLi2MnP trigonal pyramids. In the twenty-third O2- site, O2- is bonded in a 5-coordinate geometry to three Li1+, one Mn2+, and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a 2-coordinate geometry to two Li1+, one Mn2+, and one P5+ atom. In the twenty-fifth O2- site, O2- is bonded to two Li1+, one Mn2+, and one P5+ atom to form distorted corner-sharing OLi2MnP trigonal pyramids. In the twenty-sixth O2- site, O2- is bonded in a 5-coordinate geometry to three Li1+, one Mn2+, and one P5+ atom. In the twenty-seventh O2- site, O2- is bonded in a distorted trigonal pyramidal geometry to two Li1+, one Mn2+, and one P5+ atom. In the twenty-eighth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Mn2+, and one P5+ atom. In the twenty-ninth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Mn2+, and one P5+ atom. In the thirtieth O2- site, O2- is bonded in a 2-coordinate geometry to four Li1+, one Mn2+, and one P5+ atom. In the thirty-first O2- site, O2- is bonded in a 1-coordinate geometry to two Li1+, one Mn2+, and one P5+ atom. In the thirty-second O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn2+ and one P5+ atom. In the thirty-third O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one Mn2+, and one P5+ atom. In the thirty-fourth O2- site

36 MATERIALS SCIENCE↗

Materials Data on La8Cu7O19 by Materials Project

La8Cu7O19 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are sixteen inequivalent La3+ sites. In the first La3+ site, La3+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of La–O bond distances ranging from 2.37–2.78 Å. In the second La3+ site, La3+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of La–O bond distances ranging from 2.34–2.83 Å. In the third La3+ site, La3+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of La–O bond distances ranging from 2.34–2.79 Å. In the fourth La3+ site, La3+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of La–O bond distances ranging from 2.33–2.81 Å. In the fifth La3+ site, La3+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of La–O bond distances ranging from 2.35–2.78 Å. In the sixth La3+ site, La3+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of La–O bond distances ranging from 2.32–2.85 Å. In the seventh La3+ site, La3+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of La–O bond distances ranging from 2.36–2.79 Å. In the eighth La3+ site, La3+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of La–O bond distances ranging from 2.36–2.82 Å. In the ninth La3+ site, La3+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of La–O bond distances ranging from 2.38–2.82 Å. In the tenth La3+ site, La3+ is bonded in a 7-coordinate geometry to eight O2- atoms. There are a spread of La–O bond distances ranging from 2.32–3.01 Å. In the eleventh La3+ site, La3+ is bonded in a 7-coordinate geometry to nine O2- atoms. There are a spread of La–O bond distances ranging from 2.35–3.11 Å. In the twelfth La3+ site, La3+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of La–O bond distances ranging from 2.35–2.80 Å. In the thirteenth La3+ site, La3+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of La–O bond distances ranging from 2.33–2.84 Å. In the fourteenth La3+ site, La3+ is bonded in a 7-coordinate geometry to nine O2- atoms. There are a spread of La–O bond distances ranging from 2.33–3.10 Å. In the fifteenth La3+ site, La3+ is bonded in a 7-coordinate geometry to eight O2- atoms. There are a spread of La–O bond distances ranging from 2.33–3.00 Å. In the sixteenth La3+ site, La3+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of La–O bond distances ranging from 2.38–2.82 Å. There are fourteen inequivalent Cu2+ sites. In the first Cu2+ site, Cu2+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Cu–O bond distances ranging from 1.94–2.47 Å. In the second Cu2+ site, Cu2+ is bonded to six O2- atoms to form corner-sharing CuO6 octahedra. The corner-sharing octahedra tilt angles range from 1–3°. There are a spread of Cu–O bond distances ranging from 1.88–2.46 Å. In the third Cu2+ site, Cu2+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Cu–O bond distances ranging from 1.92–2.68 Å. In the fourth Cu2+ site, Cu2+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Cu–O bond distances ranging from 1.92–2.70 Å. In the fifth Cu2+ site, Cu2+ is bonded to six O2- atoms to form corner-sharing CuO6 octahedra. The corner-sharing octahedra tilt angles range from 1–3°. There are a spread of Cu–O bond distances ranging from 1.88–2.45 Å. In the sixth Cu2+ site, Cu2+ is bonded in a 4-coordinate geometry to six O2- atoms. There are a spread of Cu–O bond distances ranging from 1.95–2.74 Å. In the seventh Cu2+ site, Cu2+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Cu–O bond distances ranging from 1.94–2.10 Å. In the eighth Cu2+ site, Cu2+ is bonded to six O2- atoms to form corner-sharing CuO6 octahedra. The corner-sharing octahedra tilt angles range from 2–3°. There are a spread of Cu–O bond distances ranging from 1.88–2.46 Å. In the ninth Cu2+ site, Cu2+ is bonded to six O2- atoms to form corner-sharing CuO6 octahedra. The corner-sharing octahedra tilt angles range from 1–3°. There are a spread of Cu–O bond distances ranging from 1.88–2.46 Å. In the tenth Cu2+ site, Cu2+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Cu–O bond distances ranging from 1.91–2.04 Å. In the eleventh Cu2+ site, Cu2+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Cu–O bond distances ranging from 1.94–2.03 Å. In the twelfth Cu2+ site, Cu2+ is bonded to six O2- atoms to form corner-sharing CuO6 octahedra. The corner-sharing octahedra tilt angles range from 1–3°. There are a spread of Cu–O bond distances ranging from 1.88–2.44 Å. In the thirteenth Cu2+ site, Cu2+ is bonded to six O2- atoms to form distorted corner-sharing CuO6 octahedra. The corner-sharing octahedra tilt angles range from 1–2°. There are a spread of Cu–O bond distances ranging from 1.89–2.47 Å. In the fourteenth Cu2+ site, Cu2+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Cu–O bond distances ranging from 1.93–2.07 Å. There are thirty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a 6-coordinate geometry to five La3+ and one Cu2+ atom. In the second O2- site, O2- is bonded to four La3+ and two equivalent Cu2+ atoms to form a mixture of distorted edge, corner, and face-sharing OLa4Cu2 octahedra. The corner-sharing octahedral tilt angles are 1°. In the third O2- site, O2- is bonded to four La3+ and two Cu2+ atoms to form a mixture of distorted edge, corner, and face-sharing OLa4Cu2 octahedra. The corner-sharing octahedral tilt angles are 1°. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to three La3+ and one Cu2+ atom. In the fifth O2- site, O2- is bonded to four La3+ and two equivalent Cu2+ atoms to form distorted OLa4Cu2 octahedra that share corners with two equivalent OLa4Cu2 octahedra, corners with two equivalent OLa2Cu3 trigonal bipyramids, an edgeedge with one OLa4Cu2 octahedra, and faces with two equivalent OLa4Cu2 octahedra. The corner-sharing octahedral tilt angles are 1°. In the sixth O2- site, O2- is bonded in a 6-coordinate geometry to five La3+ and one Cu2+ atom. In the seventh O2- site, O2- is bonded in a 6-coordinate geometry to four La3+ and two Cu2+ atoms. In the eighth O2- site, O2- is bonded in a 4-coordinate geometry to three La3+ and two Cu2+ atoms. In the ninth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two La3+ and four Cu2+ atoms. In the tenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one La3+ and four Cu2+ atoms. In the eleventh O2- site, O2- is bonded in a 6-coordinate geometry to five La3+ and one Cu2+ atom. In the twelfth O2- site, O2- is bonded in a 6-coordinate geometry to five La3+ and one Cu2+ atom. In the thirteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two La3+ and four Cu2+ atoms. In the fourteenth O2- site, O2- is bonded in a 6-coordinate geometry to four La3+ and two Cu2+ atoms. In the fifteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one La3+ and four Cu2+ atoms. In the sixteenth O2- site, O2- is bonded to four La3+ and two equivalent Cu2+ atoms to form a mixture of distorted edge, corner, and face-sharing OLa4Cu2 octahedra. The corner-sharing octahedral tilt angles are 1°. In the seventeenth O2- site, O2- is bonded in a 4-coordinate geometry to three La3+ and two Cu2+ atoms. In the eighteenth O2- site, O2- is bonded to two equivalent La3+ and three Cu2+ atoms to form distorted OLa2Cu3 trigonal bipyramids that share corners with two equivalent OLa4Cu2 octahedra, corners with two equivalent OLa2Cu3 trigonal bipyramids, and an edgeedge with one OLa2Cu3 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 51–55°. In the nineteenth O2- site, O2- is bonded to four La3+ and two equivalent Cu2+ atoms to form distorted OLa4Cu2 octahedra that share corners with two equivalent OLa4Cu2 octahedra, corners with two equivalent OLa2Cu3 trigonal bipyramids, an edgeedge with one OLa4Cu2 octahedra, and faces with two equivalent OLa4Cu2 octahedra. The corner-sharing octahedral tilt angles are 1°. In the twentieth O2- site, O2- is bonded in a 5-coordinate geometry to two equivalent La3+ and three Cu2+ atoms. In the twenty-first O2- site, O2- is bonded in a 6-coordinate geometry to four La3+ and two Cu2+ atoms. In the twenty-second O2- site, O2- is bonded to two equivalent La3+ and three Cu2+ atoms to form distorted OLa2Cu3 trigonal bipyramids that share corners with two equivalent OLa4Cu2 octahedra, corners with two equivalent OLa2Cu3 trigonal bipyramids, and an edgeedge with one OLa2Cu3 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 51–55°. In the twenty-third O2- site, O2- is bonded in a 6-coordinate geometry to four La3+ and two Cu2+ atoms. In the twenty-fourth O2- site, O2- is bonded to four La3+ and two equivalent Cu2+ atoms to form a mixture of distorted edge, corner, and face-sharing OLa4Cu2 octahedra. The corner-sharing octahedral tilt angles are 1°. In the twenty-fifth O2- site, O2- is bonded in a 5-coordinate geometry to two equivalent La3+ and three Cu2+ atoms. In the twenty-sixth O2- site, O2- is bonded in a 5-coordinate geometry to five La3+ and one Cu2+ atom. In the twenty-seventh O2- site, O2- is bonded in a 6-coordinate geometry to five La3+ and one Cu2+ atom. In the twenty-eighth O2- site, O2- is bonded in a 5-coordinate geometry to five La3+ and one Cu2+ atom. In the twenty-ninth O2- site, O2- is bonded in a 4-coordinate geometry to three La3+ and two Cu2+ atoms. In the thirtieth O2- site, O2- is bonded to four La3+ and two Cu2+ atoms to form a mixture of distorted edge, corner, and face-sharing OLa4Cu2 octahedra. The corner-sharing octahedral tilt angles are 1°. In the thirty-first O2- site, O2- is bonded to four La3+ and two equivalent Cu2+ atoms to form a mixture of distorted edge, corner, and face-sharing OLa4Cu2 octahedra. The corner-sharing octahedral tilt angles are 2°. In the thirty-second O2- site, O2- is bonded in a 6-coordinate geometry to five La3+ and one Cu2+ atom. In the thirty-third O2- site, O2- is bonded in a 6-coordinate geometry to five La3+ and one Cu2+ atom. In the thirty-fourth O2- site, O2- is bonded in a 5-coordinate geometry to five La3+ and one Cu2+ atom. In the thirty-fifth O2- site, O2- is bonded in a 6-coordinate geometry to five La3+ and one Cu2+ atom. In the thirty-sixth O2- site, O2- is bonded in a 6-coordinate geometry to five La3+ and one Cu2+ atom. In the thirty-seventh O2- site, O2- is bonded to four La3+ and two Cu2+ atoms to form a mixture of distorted edge, corner, and face-sharing OLa4Cu2 octahedra. The corner-sharing octahedral tilt angles are 1°. In the thirty-eighth O2- site, O2- is bonded to four La3+ and two Cu2+ atoms to form a mixture of distorted edge, corner, and face-sharing OLa4Cu2 octahedra. The corner-sharing octahedral tilt angles are 1°.

36 MATERIALS SCIENCE↗

Materials Data on Li3Bi3P8O29 by Materials Project

Li3Bi3P8O29 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are six 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 1.91–2.39 Å. In the second Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.85–2.43 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 BiO6 octahedra. There are a spread of Li–O bond distances ranging from 1.85–2.41 Å. In the fourth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.91–2.84 Å. In the fifth 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 BiO6 octahedra. There are a spread of Li–O bond distances ranging from 1.88–2.23 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three BiO6 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 1.81–2.32 Å. There are six inequivalent Bi5+ sites. In the first Bi5+ site, Bi5+ is bonded to six O2- atoms to form BiO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Bi–O bond distances ranging from 2.16–2.23 Å. In the second Bi5+ site, Bi5+ is bonded to six O2- atoms to form BiO6 octahedra that share a cornercorner with one LiO4 tetrahedra and corners with six PO4 tetrahedra. There are a spread of Bi–O bond distances ranging from 2.17–2.25 Å. In the third Bi5+ site, Bi5+ is bonded to six O2- atoms to form BiO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one LiO4 tetrahedra. There are a spread of Bi–O bond distances ranging from 2.15–2.23 Å. In the fourth Bi5+ site, Bi5+ is bonded to six O2- atoms to form BiO6 octahedra that share a cornercorner with one LiO4 tetrahedra and corners with six PO4 tetrahedra. There are a spread of Bi–O bond distances ranging from 2.16–2.27 Å. In the fifth Bi5+ site, Bi5+ is bonded to six O2- atoms to form BiO6 octahedra that share a cornercorner with one LiO4 tetrahedra, corners with six PO4 tetrahedra, and an edgeedge with one LiO4 tetrahedra. There are a spread of Bi–O bond distances ranging from 2.16–2.24 Å. In the sixth Bi5+ site, Bi5+ is bonded to six O2- atoms to form BiO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Bi–O bond distances ranging from 2.17–2.22 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 BiO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 51–53°. There are a spread of P–O bond distances ranging from 1.48–1.61 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two BiO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 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 third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two BiO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 47–48°. There are a spread of P–O bond distances ranging from 1.49–1.62 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three BiO6 octahedra and a cornercorner with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 35–42°. 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 BiO6 octahedra. The corner-sharing octahedra tilt angles range from 41–42°. There are a spread of P–O bond distances ranging from 1.50–1.58 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two BiO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedral tilt angles are 48°. There are a spread of P–O bond distances ranging from 1.49–1.61 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two BiO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 48–50°. There are a spread of P–O bond distances ranging from 1.49–1.62 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two BiO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 51–53°. There are a spread of P–O bond distances ranging from 1.48–1.63 Å. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three BiO6 octahedra. The corner-sharing octahedra tilt angles range from 38–44°. There are a spread of P–O bond distances ranging from 1.50–1.59 Å. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two BiO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 49–52°. There are a spread of P–O bond distances ranging from 1.49–1.61 Å. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two BiO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 47–51°. There are a spread of P–O bond distances ranging from 1.49–1.61 Å. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three BiO6 octahedra and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 40–46°. There are a spread of P–O bond distances ranging from 1.50–1.59 Å. In the thirteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two BiO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 47–48°. There are a spread of P–O bond distances ranging from 1.48–1.62 Å. In the fourteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two BiO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 49–53°. There are a spread of P–O bond distances ranging from 1.49–1.60 Å. In the fifteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two BiO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedral tilt angles are 50°. 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 BiO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 48–51°. There are a spread of P–O bond distances ranging from 1.49–1.62 Å. There are fifty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Bi5+ and one P5+ atom. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Bi5+, and one P5+ atom. In the third O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Bi5+, and one P5+ atom. In the fourth O2- site, O2- is bonded in a single-bond geometry to one P5+ atom. In the fifth O2- site, O2- is bonded in a bent 150 degrees geometry to two P5+ atoms. In the sixth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Bi5+ and one P5+ atom. In the seventh O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Li1+ and one P5+ atom. In the eighth O2- site, O2- is bonded in a single-bond geometry to one P5+ atom. In the ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Bi5+, and one P5+ atom. In the tenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Li1+ and one P5+ atom. In the eleventh O2- site, O2- is bonded in a bent 150 degrees geometry to one Li1+ and one P5+ atom. In the twelfth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Bi5+, and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Bi5+ and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two Li1+ and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a 2-coordinate geometry to one Bi5+ and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Bi5+, and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Bi5+ and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Bi5+ and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a bent 150 degrees geometry to two P5+ atoms. In the twentieth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Bi5+, and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Bi5+ and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a single-bond geometry to one P5+ atom. In the twenty-third O2- site, O2- is bonded in a bent 150 degrees geometry to two P5+ atoms. In the twenty-fourth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Bi5+ and one P5+ atom. In the twenty-fifth O2- site, O2- is bonded in a linear geometry to one Li1+ and one P5+ atom. In the twenty-sixth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Li1+ and one P5+ atom. In the twenty-seventh O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Bi5+, and one P5+ atom. In the twenty-eighth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Bi5+ and one P5+ atom. In the twenty-ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Bi5+, and one P5+ atom. In the thirtieth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Bi5+ and one P5+ atom. In the thirty-first O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Bi5+ and one P5+ atom. In the thirty-second O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Bi5+ and one P5+ atom. In the thirty-third O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Bi5+ and one P5+ atom. In the thirty-fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Bi5+, and one P5+ atom. In the thirty-fifth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Bi5+ and one P5+ atom. In the thirty-sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Bi5+, and one P5+ atom. In the thirty-seventh O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Bi5+ and one P5+ atom. In the thirty-eighth O2- site, O2- is bonded in a bent 150 degrees geometry to two P5+ atoms. In the thirty-ninth O2- site, O2- is bonded in a disto

36 MATERIALS SCIENCE↗

Materials Data on NaCa4TaTi4(SiO5)5 by Materials Project

NaCa4Ti4Ta(SiO5)5 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are two inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Na–O bond distances ranging from 2.31–2.87 Å. In the second Na1+ site, Na1+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Na–O bond distances ranging from 2.30–2.84 Å. There are eight inequivalent Ca2+ sites. In the first Ca2+ site, Ca2+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Ca–O bond distances ranging from 2.29–2.67 Å. In the second Ca2+ site, Ca2+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Ca–O bond distances ranging from 2.29–2.70 Å. In the third Ca2+ site, Ca2+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Ca–O bond distances ranging from 2.27–2.71 Å. In the fourth Ca2+ site, Ca2+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Ca–O bond distances ranging from 2.29–2.67 Å. In the fifth Ca2+ site, Ca2+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Ca–O bond distances ranging from 2.28–2.76 Å. In the sixth Ca2+ site, Ca2+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Ca–O bond distances ranging from 2.30–2.72 Å. In the seventh Ca2+ site, Ca2+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Ca–O bond distances ranging from 2.29–2.68 Å. In the eighth Ca2+ site, Ca2+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Ca–O bond distances ranging from 2.29–2.66 Å. There are eight inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two TiO6 octahedra and corners with four SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 38°. There are a spread of Ti–O bond distances ranging from 1.83–2.04 Å. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one TiO6 octahedra, a cornercorner with one TaO6 octahedra, and corners with four SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 38–39°. There are a spread of Ti–O bond distances ranging from 1.83–2.05 Å. In the third Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two TaO6 octahedra and corners with four SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 38–39°. There are a spread of Ti–O bond distances ranging from 1.88–2.03 Å. In the fourth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one TiO6 octahedra, a cornercorner with one TaO6 octahedra, and corners with four SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 38°. There are a spread of Ti–O bond distances ranging from 1.88–2.03 Å. In the fifth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two TiO6 octahedra and corners with four SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 37–38°. There are a spread of Ti–O bond distances ranging from 1.86–2.04 Å. In the sixth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two TiO6 octahedra and corners with four SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 37°. There are a spread of Ti–O bond distances ranging from 1.83–2.04 Å. In the seventh Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two TiO6 octahedra and corners with four SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 37°. There are a spread of Ti–O bond distances ranging from 1.83–2.04 Å. In the eighth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two TiO6 octahedra and corners with four SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 37–38°. There are a spread of Ti–O bond distances ranging from 1.82–2.04 Å. There are two inequivalent Ta5+ sites. In the first Ta5+ site, Ta5+ is bonded to six O2- atoms to form TaO6 octahedra that share corners with two TiO6 octahedra and corners with four SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 38–39°. There are a spread of Ta–O bond distances ranging from 1.90–2.06 Å. In the second Ta5+ site, Ta5+ is bonded to six O2- atoms to form TaO6 octahedra that share corners with two TiO6 octahedra and corners with four SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 38–39°. There are a spread of Ta–O bond distances ranging from 1.89–2.05 Å. There are ten inequivalent Si4+ sites. In the first Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two equivalent TiO6 octahedra and corners with two equivalent TaO6 octahedra. The corner-sharing octahedra tilt angles range from 37–53°. There are a spread of Si–O bond distances ranging from 1.64–1.66 Å. In the second Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two equivalent TiO6 octahedra and corners with two equivalent TaO6 octahedra. The corner-sharing octahedra tilt angles range from 37–53°. There is two shorter (1.64 Å) and two 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 four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 38–53°. There is two shorter (1.65 Å) and two 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 four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 37–53°. There is two shorter (1.65 Å) and two longer (1.66 Å) Si–O bond length. In the fifth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 36–53°. There is two shorter (1.65 Å) and two longer (1.66 Å) Si–O bond length. In the sixth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two equivalent TiO6 octahedra and corners with two equivalent TaO6 octahedra. The corner-sharing octahedra tilt angles range from 36–51°. There is two shorter (1.64 Å) and two longer (1.66 Å) Si–O bond length. In the seventh Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 36–53°. There is three shorter (1.65 Å) and one longer (1.66 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 equivalent TiO6 octahedra and corners with two equivalent TaO6 octahedra. The corner-sharing octahedra tilt angles range from 36–50°. There is two shorter (1.64 Å) and two longer (1.66 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 four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 37–53°. There is two shorter (1.65 Å) and two longer (1.66 Å) Si–O bond length. In the tenth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 36–54°. There is three shorter (1.65 Å) and one longer (1.66 Å) Si–O bond length. There are fifty inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to one Ca2+, one Ti4+, and one Si4+ atom. In the second O2- site, O2- is bonded in a 4-coordinate geometry to two Ca2+, one Ti4+, and one Si4+ atom. In the third O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Ta5+, and one Si4+ atom. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Ca2+ and two Ti4+ atoms. In the fifth O2- site, O2- is bonded in a 3-coordinate geometry to one Ca2+, one Ti4+, and one Si4+ atom. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to one Na1+, one Ca2+, one Ta5+, and one Si4+ atom. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to one Na1+, one Ca2+, one Ti4+, and one Si4+ atom. In the eighth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Ta5+, and one Si4+ atom. In the ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Na1+, one Ti4+, and one Ta5+ atom. In the tenth O2- site, O2- is bonded in a 4-coordinate geometry to two Ca2+, one Ti4+, and one Si4+ atom. In the eleventh O2- site, O2- is bonded in a 3-coordinate geometry to one Ca2+, one Ti4+, and one Si4+ atom. In the twelfth O2- site, O2- is bonded in a 3-coordinate geometry to one Ca2+, one Ti4+, and one Si4+ atom. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Na1+, one Ca2+, one Ta5+, and one Si4+ atom. In the fourteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Ca2+, one Ti4+, and one Ta5+ atom. In the fifteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Na1+, one Ca2+, one Ti4+, and one Si4+ atom. In the sixteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Ca2+, one Ti4+, and one Si4+ atom. In the seventeenth O2- site, O2- is bonded in a 3-coordinate geometry to one Ca2+, one Ti4+, and one Si4+ atom. In the eighteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Na1+, one Ti4+, and one Ta5+ atom. In the nineteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Na1+, one Ca2+, one Ta5+, and one Si4+ atom. In the twentieth O2- site, O2- is bonded in a distorted T-shaped geometry to one Na1+, one Ti4+, and one Si4+ atom. In the twenty-first O2- site, O2- is bonded in a 3-coordinate geometry to one Ca2+, one Ti4+, and one Si4+ atom. In the twenty-second O2- site, O2- is bonded in a 4-coordinate geometry to two Ca2+, one Ti4+, and one Si4+ atom. In the twenty-third O2- site, O2- is bonded in a distorted trigonal planar geometry to one Ca2+, one Ti4+, and one Ta5+ atom. In the twenty-fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Ca2+, one Ta5+, and one Si4+ atom. In the twenty-fifth O2- site, O2- is bonded in a 4-coordinate geometry to two Ca2+, one Ti4+, and one Si4+ atom. In the twenty-sixth O2- site, O2- is bonded in a 4-coordinate geometry to one Na1+, one Ca2+, one Ti4+, and one Si4+ atom. In the twenty-seventh O2- site, O2- is bonded in a 3-coordinate geometry to one Ca2+, one Ti4+, and one Si4+ atom. In the twenty-eighth O2- site, O2- is bonded in a 3-coordinate geometry to one Ca2+ and two Ti4+ atoms. In the twenty-ninth O2- site, O2- is bonded in a 4-coordinate geometry to one Na1+, one Ca2+, one Ta5+, and one Si4+ atom. In the thirtieth O2- site, O2- is bonded in a distorted T-shaped geometry to one Na1+, one Ti4+, and one Si4+ atom. In the thirty-first O2- site, O2- is bonded in a 3-coordinate geometry to one Ca2+, one Ti4+, and one Si4+ atom. In the thirty-second O2- site, O2- is bonded in a 4-coordinate geometry to two Ca2+, one Ti4+, and one Si4+ atom. In the thirty-third O2- site, O2- is bonded in a distorted trigonal planar geometry to one Ca2+ and two Ti4+ atoms. In the thirty-fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Ca2+, one Ta5+, and one Si4+ atom. In the thirty-fifth O2- site, O2- is bonded in a 4-coordinate geometry to two Ca2+, one Ti4+, and one Si4+ atom. In the thirty-sixth O2- site, O2- is bonded in a 4-coordinate geometry to one Na1+, one Ca2+, one Ti4+, and one Si4+ atom. In the thirty-seventh O2- site, O2- is bonded in a 3-coordinate geometry to one Ca2+ and two Ti4+ atoms. In the thirty-eighth O2- site, O2- is bonded in a 4-coordinate geometry to two Ca2+, one Ti4+, and one Si4+ atom. In the thirty-ni

36 MATERIALS SCIENCE↗

Materials Data on Ba8Co7O19 by Materials Project

Ba8Co7O19 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are sixteen inequivalent Ba2+ sites. In the first Ba2+ site, Ba2+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of Ba–O bond distances ranging from 2.79–3.15 Å. In the second Ba2+ site, Ba2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Ba–O bond distances ranging from 2.79–2.99 Å. In the third Ba2+ site, Ba2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Ba–O bond distances ranging from 2.59–3.28 Å. In the fourth Ba2+ site, Ba2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Ba–O bond distances ranging from 2.52–3.19 Å. In the fifth Ba2+ site, Ba2+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of Ba–O bond distances ranging from 2.76–3.30 Å. In the sixth Ba2+ site, Ba2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Ba–O bond distances ranging from 2.63–2.97 Å. In the seventh Ba2+ site, Ba2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Ba–O bond distances ranging from 2.59–3.13 Å. In the eighth Ba2+ site, Ba2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Ba–O bond distances ranging from 2.59–3.13 Å. In the ninth Ba2+ site, Ba2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Ba–O bond distances ranging from 2.68–3.22 Å. In the tenth Ba2+ site, Ba2+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Ba–O bond distances ranging from 2.57–2.97 Å. In the eleventh Ba2+ site, Ba2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Ba–O bond distances ranging from 2.58–3.18 Å. In the twelfth Ba2+ site, Ba2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Ba–O bond distances ranging from 2.62–2.94 Å. In the thirteenth Ba2+ site, Ba2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Ba–O bond distances ranging from 2.62–3.03 Å. In the fourteenth Ba2+ site, Ba2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Ba–O bond distances ranging from 2.61–3.05 Å. In the fifteenth Ba2+ site, Ba2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Ba–O bond distances ranging from 2.76–3.09 Å. In the sixteenth Ba2+ site, Ba2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Ba–O bond distances ranging from 2.70–3.21 Å. There are fourteen inequivalent Co+3.14+ sites. In the first Co+3.14+ site, Co+3.14+ is bonded to five O2- atoms to form distorted edge-sharing CoO5 trigonal bipyramids. There are a spread of Co–O bond distances ranging from 1.75–2.03 Å. In the second Co+3.14+ site, Co+3.14+ is bonded to six O2- atoms to form face-sharing CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.88–2.20 Å. In the third Co+3.14+ site, Co+3.14+ is bonded to five O2- atoms to form a mixture of distorted face and edge-sharing CoO5 trigonal bipyramids. There are a spread of Co–O bond distances ranging from 1.84–2.23 Å. In the fourth Co+3.14+ site, Co+3.14+ is bonded to five O2- atoms to form a mixture of face and edge-sharing CoO5 trigonal bipyramids. There are a spread of Co–O bond distances ranging from 1.83–2.15 Å. In the fifth Co+3.14+ site, Co+3.14+ is bonded to five O2- atoms to form CoO5 trigonal bipyramids that share an edgeedge with one CoO5 trigonal bipyramid and a faceface with one CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.88–2.10 Å. In the sixth Co+3.14+ site, Co+3.14+ is bonded to five O2- atoms to form distorted edge-sharing CoO5 trigonal bipyramids. There are a spread of Co–O bond distances ranging from 1.79–2.15 Å. In the seventh Co+3.14+ site, Co+3.14+ is bonded to five O2- atoms to form a mixture of face and edge-sharing CoO5 trigonal bipyramids. There are a spread of Co–O bond distances ranging from 1.83–2.17 Å. In the eighth Co+3.14+ site, Co+3.14+ is bonded to five O2- atoms to form distorted CoO5 trigonal bipyramids that share an edgeedge with one CoO5 trigonal bipyramid and a faceface with one CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.86–2.17 Å. In the ninth Co+3.14+ site, Co+3.14+ is bonded to five O2- atoms to form CoO5 trigonal bipyramids that share an edgeedge with one CoO5 trigonal bipyramid and a faceface with one CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.86–2.05 Å. In the tenth Co+3.14+ site, Co+3.14+ is bonded to five O2- atoms to form a mixture of face and edge-sharing CoO5 trigonal bipyramids. There are a spread of Co–O bond distances ranging from 1.86–2.16 Å. In the eleventh Co+3.14+ site, Co+3.14+ is bonded to six O2- atoms to form face-sharing CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.83–2.19 Å. In the twelfth Co+3.14+ site, Co+3.14+ is bonded in a distorted see-saw-like geometry to four O2- atoms. There are a spread of Co–O bond distances ranging from 1.85–2.01 Å. In the thirteenth Co+3.14+ site, Co+3.14+ is bonded to six O2- atoms to form distorted face-sharing CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.75–2.24 Å. In the fourteenth Co+3.14+ site, Co+3.14+ is bonded to five O2- atoms to form distorted CoO5 trigonal bipyramids that share an edgeedge with one CoO5 trigonal bipyramid and a faceface with one CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.88–2.34 Å. There are thirty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a 1-coordinate geometry to four Ba2+ and one Co+3.14+ atom. In the second O2- site, O2- is bonded in a 5-coordinate geometry to three Ba2+ and two Co+3.14+ atoms. In the third O2- site, O2- is bonded in a 2-coordinate geometry to three Ba2+ and two Co+3.14+ atoms. In the fourth O2- site, O2- is bonded in a 6-coordinate geometry to four Ba2+ and two Co+3.14+ atoms. In the fifth O2- site, O2- is bonded in a 1-coordinate geometry to four Ba2+ and two Co+3.14+ atoms. In the sixth O2- site, O2- is bonded in a 2-coordinate geometry to three Ba2+ and two Co+3.14+ atoms. In the seventh O2- site, O2- is bonded in a 2-coordinate geometry to four Ba2+ and two Co+3.14+ atoms. In the eighth O2- site, O2- is bonded in a 2-coordinate geometry to three Ba2+ and two Co+3.14+ atoms. In the ninth O2- site, O2- is bonded in a 2-coordinate geometry to four Ba2+ and two Co+3.14+ atoms. In the tenth O2- site, O2- is bonded in a 6-coordinate geometry to four Ba2+ and two Co+3.14+ atoms. In the eleventh O2- site, O2- is bonded in a 5-coordinate geometry to three Ba2+ and two Co+3.14+ atoms. In the twelfth O2- site, O2- is bonded in a 6-coordinate geometry to four Ba2+ and two Co+3.14+ atoms. In the thirteenth O2- site, O2- is bonded in a 5-coordinate geometry to three Ba2+ and two Co+3.14+ atoms. In the fourteenth O2- site, O2- is bonded in a 2-coordinate geometry to four Ba2+ and two Co+3.14+ atoms. In the fifteenth O2- site, O2- is bonded in a 2-coordinate geometry to four Ba2+ and two Co+3.14+ atoms. In the sixteenth O2- site, O2- is bonded in a 6-coordinate geometry to four Ba2+ and two Co+3.14+ atoms. In the seventeenth O2- site, O2- is bonded in a distorted trigonal bipyramidal geometry to three Ba2+ and two Co+3.14+ atoms. In the eighteenth O2- site, O2- is bonded in a 6-coordinate geometry to four Ba2+ and two Co+3.14+ atoms. In the nineteenth O2- site, O2- is bonded in a 6-coordinate geometry to four Ba2+ and two Co+3.14+ atoms. In the twentieth O2- site, O2- is bonded in a 6-coordinate geometry to four Ba2+ and two Co+3.14+ atoms. In the twenty-first O2- site, O2- is bonded in a 5-coordinate geometry to three Ba2+ and two Co+3.14+ atoms. In the twenty-second O2- site, O2- is bonded in a distorted single-bond geometry to four Ba2+ and one Co+3.14+ atom. In the twenty-third O2- site, O2- is bonded in a 5-coordinate geometry to three Ba2+ and two Co+3.14+ atoms. In the twenty-fourth O2- site, O2- is bonded in a 6-coordinate geometry to four Ba2+ and two Co+3.14+ atoms. In the twenty-fifth O2- site, O2- is bonded in a distorted single-bond geometry to four Ba2+ and one Co+3.14+ atom. In the twenty-sixth O2- site, O2- is bonded in a 2-coordinate geometry to four Ba2+ and two Co+3.14+ atoms. In the twenty-seventh O2- site, O2- is bonded in a 1-coordinate geometry to three Ba2+ and two Co+3.14+ atoms. In the twenty-eighth O2- site, O2- is bonded in a 6-coordinate geometry to four Ba2+ and two Co+3.14+ atoms. In the twenty-ninth O2- site, O2- is bonded in a 6-coordinate geometry to four Ba2+ and two Co+3.14+ atoms. In the thirtieth O2- site, O2- is bonded in a 5-coordinate geometry to three Ba2+ and two Co+3.14+ atoms. In the thirty-first O2- site, O2- is bonded in a 1-coordinate geometry to three Ba2+ and two Co+3.14+ atoms. In the thirty-second O2- site, O2- is bonded in a 5-coordinate geometry to three Ba2+ and two Co+3.14+ atoms. In the thirty-third O2- site, O2- is bonded in a 5-coordinate geometry to three Ba2+ and two Co+3.14+ atoms. In the thirty-fourth O2- site, O2- is bonded in a 1-coordinate geometry to four Ba2+ and two Co+3.14+ atoms. In the thirty-fifth O2- site, O2- is bonded in a 2-coordinate geometry to four Ba2+ and two Co+3.14+ atoms. In the thirty-sixth O2- site, O2- is bonded in a 6-coordinate geometry to four Ba2+ and two Co+3.14+ atoms. In the thirty-seventh O2- site, O2- is bonded in a distorted single-bond geometry to four Ba2+ and one Co+3.14+ atom. In the thirty-eighth O2- site, O2- is bonded in a 5-coordinate geometry to three Ba2+ and two Co+3.14+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on NaCa4Ti4Nb(SiO5)5 by Materials Project

NaCa4Ti4Nb(SiO5)5 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are two inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Na–O bond distances ranging from 2.30–2.85 Å. In the second Na1+ site, Na1+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Na–O bond distances ranging from 2.30–2.82 Å. There are eight inequivalent Ca2+ sites. In the first Ca2+ site, Ca2+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Ca–O bond distances ranging from 2.29–2.67 Å. In the second Ca2+ site, Ca2+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Ca–O bond distances ranging from 2.29–2.70 Å. In the third Ca2+ site, Ca2+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Ca–O bond distances ranging from 2.27–2.70 Å. In the fourth Ca2+ site, Ca2+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Ca–O bond distances ranging from 2.29–2.67 Å. In the fifth Ca2+ site, Ca2+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Ca–O bond distances ranging from 2.28–2.75 Å. In the sixth Ca2+ site, Ca2+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Ca–O bond distances ranging from 2.29–2.72 Å. In the seventh Ca2+ site, Ca2+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Ca–O bond distances ranging from 2.29–2.68 Å. In the eighth Ca2+ site, Ca2+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Ca–O bond distances ranging from 2.29–2.66 Å. There are eight inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two TiO6 octahedra and corners with four SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 38°. There are a spread of Ti–O bond distances ranging from 1.85–2.04 Å. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one TiO6 octahedra, a cornercorner with one NbO6 octahedra, and corners with four SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 38–39°. There are a spread of Ti–O bond distances ranging from 1.86–2.03 Å. In the third Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two NbO6 octahedra and corners with four SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 39–40°. There are a spread of Ti–O bond distances ranging from 1.84–2.03 Å. In the fourth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one TiO6 octahedra, a cornercorner with one NbO6 octahedra, and corners with four SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 39°. There are a spread of Ti–O bond distances ranging from 1.84–2.03 Å. In the fifth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two TiO6 octahedra and corners with four SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 38–39°. There are a spread of Ti–O bond distances ranging from 1.89–2.05 Å. In the sixth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two TiO6 octahedra and corners with four SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 38°. There are a spread of Ti–O bond distances ranging from 1.87–2.03 Å. In the seventh Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two TiO6 octahedra and corners with four SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 38°. There are a spread of Ti–O bond distances ranging from 1.86–2.04 Å. In the eighth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two TiO6 octahedra and corners with four SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 38°. There are a spread of Ti–O bond distances ranging from 1.86–2.03 Å. There are two inequivalent Nb5+ sites. In the first Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with two TiO6 octahedra and corners with four SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 39°. There are a spread of Nb–O bond distances ranging from 1.88–2.08 Å. In the second Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with two TiO6 octahedra and corners with four SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 39–40°. There are a spread of Nb–O bond distances ranging from 1.86–2.07 Å. There are ten inequivalent Si4+ sites. In the first Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two equivalent TiO6 octahedra and corners with two equivalent NbO6 octahedra. The corner-sharing octahedra tilt angles range from 37–53°. 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 equivalent TiO6 octahedra and corners with two equivalent NbO6 octahedra. The corner-sharing octahedra tilt angles range from 36–54°. There is two shorter (1.65 Å) and two 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 four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 38–53°. There are a spread of Si–O bond distances ranging from 1.64–1.67 Å. In the fourth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 38–53°. There is two shorter (1.65 Å) and two longer (1.66 Å) Si–O bond length. In the fifth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 38–53°. There is one shorter (1.65 Å) and three longer (1.66 Å) Si–O bond length. In the sixth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two equivalent TiO6 octahedra and corners with two equivalent NbO6 octahedra. The corner-sharing octahedra tilt angles range from 36–51°. There are a spread of Si–O bond distances ranging from 1.63–1.66 Å. In the seventh Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 37–53°. There is two shorter (1.65 Å) and two longer (1.66 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 equivalent TiO6 octahedra and corners with two equivalent NbO6 octahedra. The corner-sharing octahedra tilt angles range from 36–51°. There are a spread of Si–O bond distances ranging from 1.63–1.66 Å. In the ninth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 38–53°. There is two shorter (1.65 Å) and two longer (1.66 Å) Si–O bond length. In the tenth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 37–53°. There is two shorter (1.65 Å) and two longer (1.66 Å) Si–O bond length. There are fifty inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to one Ca2+, one Ti4+, and one Si4+ atom. In the second O2- site, O2- is bonded in a 4-coordinate geometry to two Ca2+, one Ti4+, and one Si4+ atom. In the third O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Nb5+, and one Si4+ atom. In the fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Ca2+ and two Ti4+ atoms. In the fifth O2- site, O2- is bonded in a 3-coordinate geometry to one Ca2+, one Ti4+, and one Si4+ atom. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to one Na1+, one Ca2+, one Nb5+, and one Si4+ atom. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to one Na1+, one Ca2+, one Ti4+, and one Si4+ atom. In the eighth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Nb5+, and one Si4+ atom. In the ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Na1+, one Ti4+, and one Nb5+ atom. In the tenth O2- site, O2- is bonded in a 4-coordinate geometry to two Ca2+, one Ti4+, and one Si4+ atom. In the eleventh O2- site, O2- is bonded in a 3-coordinate geometry to one Ca2+, one Ti4+, and one Si4+ atom. In the twelfth O2- site, O2- is bonded in a 3-coordinate geometry to one Ca2+, one Ti4+, and one Si4+ atom. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Na1+, one Ca2+, one Nb5+, and one Si4+ atom. In the fourteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Ca2+, one Ti4+, and one Nb5+ atom. In the fifteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Na1+, one Ca2+, one Ti4+, and one Si4+ atom. In the sixteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Ca2+, one Ti4+, and one Si4+ atom. In the seventeenth O2- site, O2- is bonded in a 3-coordinate geometry to one Ca2+, one Ti4+, and one Si4+ atom. In the eighteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Na1+, one Ti4+, and one Nb5+ atom. In the nineteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Na1+, one Ca2+, one Nb5+, and one Si4+ atom. In the twentieth O2- site, O2- is bonded in a 3-coordinate geometry to one Ca2+, one Ti4+, and one Si4+ atom. In the twenty-first O2- site, O2- is bonded in a distorted T-shaped geometry to one Na1+, one Ti4+, and one Si4+ atom. In the twenty-second O2- site, O2- is bonded in a 4-coordinate geometry to two Ca2+, one Ti4+, and one Si4+ atom. In the twenty-third O2- site, O2- is bonded in a distorted trigonal planar geometry to one Ca2+, one Ti4+, and one Nb5+ atom. In the twenty-fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Ca2+, one Nb5+, and one Si4+ atom. In the twenty-fifth O2- site, O2- is bonded in a 4-coordinate geometry to two Ca2+, one Ti4+, and one Si4+ atom. In the twenty-sixth O2- site, O2- is bonded in a 4-coordinate geometry to one Na1+, one Ca2+, one Ti4+, and one Si4+ atom. In the twenty-seventh O2- site, O2- is bonded in a 3-coordinate geometry to one Ca2+, one Ti4+, and one Si4+ atom. In the twenty-eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Ca2+ and two Ti4+ atoms. In the twenty-ninth O2- site, O2- is bonded in a 4-coordinate geometry to one Na1+, one Ca2+, one Nb5+, and one Si4+ atom. In the thirtieth O2- site, O2- is bonded in a 3-coordinate geometry to one Ca2+, one Ti4+, and one Si4+ atom. In the thirty-first O2- site, O2- is bonded in a distorted T-shaped geometry to one Na1+, one Ti4+, and one Si4+ atom. In the thirty-second O2- site, O2- is bonded in a 4-coordinate geometry to two Ca2+, one Ti4+, and one Si4+ atom. In the thirty-third O2- site, O2- is bonded in a distorted trigonal planar geometry to one Ca2+ and two Ti4+ atoms. In the thirty-fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Ca2+, one Nb5+, and one Si4+ atom. In the thirty-fifth O2- site, O2- is bonded in a 4-coordinate geometry to two Ca2+, one Ti4+, and one Si4+ atom. In the thirty-sixth O2- site, O2- is bonded in a 4-coordinate geometry to one Na1+, one Ca2+, one Ti4+, and one Si4+ atom. In the thirty-seventh O2- site, O2- is bonded in a 3-coordinate geometry to one Ca2+ and two Ti4+ atoms. In the thirty-eighth O2- site, O2- is bonded in a 4-coordinate geometry to two Ca2+, one Ti4+, and one Si4+ atom. In the thirty-ni

36 MATERIALS SCIENCE↗

Materials Data on Ca4Y2Al7Cr2SiO24 by Materials Project

Ca4Y2Cr2Al7SiO24 is Esseneite-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Ca2+ sites. In the first Ca2+ site, Ca2+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Ca–O bond distances ranging from 2.31–2.55 Å. In the second Ca2+ site, Ca2+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Ca–O bond distances ranging from 2.32–2.56 Å. In the third Ca2+ site, Ca2+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Ca–O bond distances ranging from 2.32–2.55 Å. In the fourth Ca2+ site, Ca2+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Ca–O bond distances ranging from 2.35–2.55 Å. In the fifth Ca2+ site, Ca2+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Ca–O bond distances ranging from 2.36–2.57 Å. In the sixth Ca2+ site, Ca2+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Ca–O bond distances ranging from 2.35–2.60 Å. In the seventh Ca2+ site, Ca2+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Ca–O bond distances ranging from 2.38–2.58 Å. In the eighth Ca2+ site, Ca2+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Ca–O bond distances ranging from 2.37–2.56 Å. There are four inequivalent Y3+ sites. In the first Y3+ site, Y3+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Y–O bond distances ranging from 2.28–2.56 Å. In the second Y3+ site, Y3+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Y–O bond distances ranging from 2.27–2.54 Å. In the third Y3+ site, Y3+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Y–O bond distances ranging from 2.28–2.53 Å. In the fourth Y3+ site, Y3+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Y–O bond distances ranging from 2.29–2.52 Å. There are four inequivalent Cr+4.50+ sites. In the first Cr+4.50+ site, Cr+4.50+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with two SiO4 tetrahedra and corners with four AlO4 tetrahedra. There are a spread of Cr–O bond distances ranging from 1.91–2.05 Å. In the second Cr+4.50+ site, Cr+4.50+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six AlO4 tetrahedra. There are a spread of Cr–O bond distances ranging from 1.86–1.95 Å. In the third Cr+4.50+ site, Cr+4.50+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six AlO4 tetrahedra. There are a spread of Cr–O bond distances ranging from 1.87–1.95 Å. In the fourth Cr+4.50+ site, Cr+4.50+ is bonded to six O2- atoms to form CrO6 octahedra that share a cornercorner with one SiO4 tetrahedra and corners with five AlO4 tetrahedra. There are a spread of Cr–O bond distances ranging from 1.89–2.03 Å. There are fourteen inequivalent Al3+ sites. In the first Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with two CrO6 octahedra and corners with two AlO6 octahedra. The corner-sharing octahedra tilt angles range from 46–49°. There are a spread of Al–O bond distances ranging from 1.76–1.82 Å. In the second Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with two CrO6 octahedra and corners with two AlO6 octahedra. The corner-sharing octahedra tilt angles range from 47–49°. There are a spread of Al–O bond distances ranging from 1.78–1.81 Å. In the third Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share a cornercorner with one AlO6 octahedra and corners with three CrO6 octahedra. The corner-sharing octahedra tilt angles range from 47–50°. There is one shorter (1.76 Å) and three longer (1.79 Å) Al–O bond length. In the fourth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with two SiO4 tetrahedra and corners with four AlO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.90–2.02 Å. In the fifth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with two CrO6 octahedra and corners with two AlO6 octahedra. The corner-sharing octahedra tilt angles range from 45–50°. There are a spread of Al–O bond distances ranging from 1.76–1.81 Å. In the sixth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with two CrO6 octahedra and corners with two AlO6 octahedra. The corner-sharing octahedra tilt angles range from 45–49°. There are a spread of Al–O bond distances ranging from 1.75–1.82 Å. In the seventh Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share a cornercorner with one SiO4 tetrahedra and corners with five AlO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.91–2.01 Å. In the eighth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with two CrO6 octahedra and corners with two AlO6 octahedra. The corner-sharing octahedra tilt angles range from 44–48°. There are a spread of Al–O bond distances ranging from 1.76–1.83 Å. In the ninth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share a cornercorner with one AlO6 octahedra and corners with three CrO6 octahedra. The corner-sharing octahedra tilt angles range from 44–48°. There are a spread of Al–O bond distances ranging from 1.75–1.80 Å. In the tenth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with two CrO6 octahedra and corners with two AlO6 octahedra. The corner-sharing octahedra tilt angles range from 43–50°. There are a spread of Al–O bond distances ranging from 1.77–1.82 Å. In the eleventh Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share a cornercorner with one CrO6 octahedra and corners with three AlO6 octahedra. The corner-sharing octahedra tilt angles range from 46–48°. There are a spread of Al–O bond distances ranging from 1.77–1.80 Å. In the twelfth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share a cornercorner with one SiO4 tetrahedra and corners with five AlO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.90–2.04 Å. In the thirteenth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with two CrO6 octahedra and corners with two AlO6 octahedra. The corner-sharing octahedra tilt angles range from 46–50°. There are a spread of Al–O bond distances ranging from 1.77–1.79 Å. In the fourteenth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share a cornercorner with one SiO4 tetrahedra and corners with five AlO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.90–2.03 Å. There are two inequivalent Si4+ sites. In the first Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two CrO6 octahedra and corners with two AlO6 octahedra. The corner-sharing octahedra tilt angles range from 44–47°. There are a spread of Si–O bond distances ranging from 1.65–1.67 Å. In the second Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one CrO6 octahedra and corners with three AlO6 octahedra. The corner-sharing octahedra tilt angles range from 44–45°. There is one shorter (1.65 Å) and three longer (1.66 Å) Si–O bond length. There are forty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to one Ca2+, one Y3+, and two Al3+ atoms. In the second O2- site, O2- is bonded in a 4-coordinate geometry to one Ca2+, one Y3+, one Cr+4.50+, and one Si4+ atom. In the third O2- site, O2- is bonded in a 4-coordinate geometry to one Ca2+, one Y3+, one Cr+4.50+, and one Al3+ atom. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to one Ca2+, one Y3+, one Al3+, and one Si4+ atom. In the fifth O2- site, O2- is bonded in a 4-coordinate geometry to one Ca2+, one Y3+, one Al3+, and one Si4+ atom. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to one Ca2+, one Y3+, and two Al3+ atoms. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to two Y3+ and two Al3+ atoms. In the eighth O2- site, O2- is bonded in a 4-coordinate geometry to two Y3+, one Cr+4.50+, and one Al3+ atom. In the ninth O2- site, O2- is bonded in a 4-coordinate geometry to one Ca2+, one Y3+, one Cr+4.50+, and one Al3+ atom. In the tenth O2- site, O2- is bonded in a 4-coordinate geometry to one Ca2+, one Y3+, one Cr+4.50+, and one Al3+ atom. In the eleventh O2- site, O2- is bonded in a 4-coordinate geometry to two Ca2+, one Al3+, and one Si4+ atom. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to one Ca2+, one Y3+, and two Al3+ atoms. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Y3+ and two Al3+ atoms. In the fourteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Ca2+, one Cr+4.50+, and one Al3+ atom. In the fifteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Y3+ and two Al3+ atoms. In the sixteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Ca2+, one Y3+, one Cr+4.50+, and one Al3+ atom. In the seventeenth O2- site, O2- is bonded in a 4-coordinate geometry to two Ca2+, one Cr+4.50+, and one Si4+ atom. In the eighteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Ca2+, one Y3+, one Al3+, and one Si4+ atom. In the nineteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Ca2+, one Y3+, one Cr+4.50+, and one Al3+ atom. In the twentieth O2- site, O2- is bonded in a 4-coordinate geometry to one Ca2+, one Y3+, one Cr+4.50+, and one Al3+ atom. In the twenty-first O2- site, O2- is bonded in a 4-coordinate geometry to two Ca2+, one Cr+4.50+, and one Al3+ atom. In the twenty-second O2- site, O2- is bonded in a 4-coordinate geometry to one Ca2+, one Y3+, one Cr+4.50+, and one Al3+ atom. In the twenty-third O2- site, O2- is bonded in a 4-coordinate geometry to two Ca2+ and two Al3+ atoms. In the twenty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to two Ca2+ and two Al3+ atoms. In the twenty-fifth O2- site, O2- is bonded in a 4-coordinate geometry to one Ca2+, one Y3+, and two Al3+ atoms. In the twenty-sixth O2- site, O2- is bonded in a 4-coordinate geometry to one Ca2+, one Y3+, and two Al3+ atoms. In the twenty-seventh O2- site, O2- is bonded in a 4-coordinate geometry to one Ca2+, one Y3+, one Cr+4.50+, and one Al3+ atom. In the twenty-eighth O2- site, O2- is bonded in a 4-coordinate geometry to two Ca2+, one Cr+4.50+, and one Al3+ atom. In the twenty-ninth O2- site, O2- is bonded in a 4-coordinate geometry to two Ca2+, one Cr+4.50+, and one Al3+ atom. In the thirtieth O2- site, O2- is bonded to two Ca2+, one Cr+4.50+, and one Al3+ atom to form distorted corner-sharing OCa2AlCr trigonal pyramids. In the thirty-first O2- site, O2- is bonded in a 4-coordinate geometry to one Ca2+, one Y3+, and two Al3+ atoms. In the thirty-second O2- site, O2- is bonded in a 4-coordinate geometry to one Ca2+, one Y3+, one Cr+4.50+, and one Al3+ atom. In the thirty-third O2- site, O2- is bonded in a 4-coordinate geometry to two Ca2+, one Cr+4.50+, and one Al3+ atom. In the thirty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to two Ca2+ and two Al3+ atoms. In the thirty-fifth O2- site, O2- is bonded in a 4-coordinate geometry to two Ca2+, one Cr+4.50+, and one Al3+ atom. In the thirty-sixth O2- site, O2- is bonded in a 4-coordinate geometry to two Ca2+ and two Al3+ atoms. In the thirty-seventh O2- site, O2- is bonded in a 4-coordinat

36 MATERIALS SCIENCE↗

Materials Data on Li3Sn3(PO4)4 by Materials Project

Li3Sn3(PO4)4 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are nine inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.94–2.55 Å. In the second Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share a cornercorner with one SnO6 octahedra, corners with three PO4 tetrahedra, an edgeedge with one SnO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedral tilt angles are 58°. There are a spread of Li–O bond distances ranging from 1.96–2.33 Å. In the third Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.90–2.64 Å. In the fourth Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.91–2.47 Å. In the fifth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 square pyramids that share a cornercorner with one SnO6 octahedra, corners with three PO4 tetrahedra, an edgeedge with one SnO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedral tilt angles are 61°. There are a spread of Li–O bond distances ranging from 1.92–2.32 Å. In the sixth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 square pyramids that share a cornercorner with one SnO6 octahedra, corners with three PO4 tetrahedra, an edgeedge with one SnO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedral tilt angles are 68°. There are a spread of Li–O bond distances ranging from 1.92–2.46 Å. In the seventh Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.90–2.53 Å. In the eighth Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.88–2.52 Å. In the ninth Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.90–2.51 Å. There are nine inequivalent Sn3+ sites. In the first Sn3+ site, Sn3+ is bonded to six O2- atoms to form SnO6 octahedra that share a cornercorner with one LiO5 square pyramid and corners with six PO4 tetrahedra. There are a spread of Sn–O bond distances ranging from 2.22–2.64 Å. In the second Sn3+ site, Sn3+ is bonded to six O2- atoms to form SnO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one LiO5 trigonal bipyramid. There are a spread of Sn–O bond distances ranging from 2.12–2.40 Å. In the third Sn3+ site, Sn3+ is bonded in a 4-coordinate geometry to five O2- atoms. There are a spread of Sn–O bond distances ranging from 2.22–2.76 Å. In the fourth Sn3+ site, Sn3+ is bonded to six O2- atoms to form SnO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one LiO5 square pyramid. There are a spread of Sn–O bond distances ranging from 2.02–2.15 Å. In the fifth Sn3+ site, Sn3+ is bonded to six O2- atoms to form SnO6 octahedra that share corners with six PO4 tetrahedra and a cornercorner with one LiO5 trigonal bipyramid. There are a spread of Sn–O bond distances ranging from 2.08–2.13 Å. In the sixth Sn3+ site, Sn3+ is bonded to six O2- atoms to form SnO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one LiO5 square pyramid. There are a spread of Sn–O bond distances ranging from 2.05–2.23 Å. In the seventh Sn3+ site, Sn3+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Sn–O bond distances ranging from 2.20–2.60 Å. In the eighth Sn3+ site, Sn3+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Sn–O bond distances ranging from 2.22–2.70 Å. In the ninth Sn3+ site, Sn3+ is bonded to six O2- atoms to form SnO6 octahedra that share a cornercorner with one LiO5 square pyramid and corners with six PO4 tetrahedra. There are a spread of Sn–O bond distances ranging from 2.06–2.23 Å. There are twelve inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three SnO6 octahedra and an edgeedge with one LiO5 square pyramid. The corner-sharing octahedra tilt angles range from 25–48°. There are a spread of P–O bond distances ranging from 1.53–1.59 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three SnO6 octahedra and a cornercorner with one LiO5 square pyramid. The corner-sharing octahedra tilt angles range from 34–43°. There are a spread of P–O bond distances ranging from 1.51–1.59 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three SnO6 octahedra and a cornercorner with one LiO5 square pyramid. The corner-sharing octahedra tilt angles range from 40–50°. There are a spread of P–O bond distances ranging from 1.51–1.60 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three SnO6 octahedra and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 31–48°. There are a spread of P–O bond distances ranging from 1.51–1.59 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three SnO6 octahedra. The corner-sharing octahedra tilt angles range from 19–62°. There are a spread of P–O bond distances ranging from 1.53–1.59 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three SnO6 octahedra, a cornercorner with one LiO5 square pyramid, and a cornercorner with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 29–46°. There are a spread of P–O bond distances ranging from 1.54–1.58 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three SnO6 octahedra, a cornercorner with one LiO5 square pyramid, and a cornercorner with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 18–58°. There are a spread of P–O bond distances ranging from 1.54–1.58 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three SnO6 octahedra. The corner-sharing octahedra tilt angles range from 33–50°. There are a spread of P–O bond distances ranging from 1.50–1.60 Å. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three SnO6 octahedra. The corner-sharing octahedra tilt angles range from 41–50°. There are a spread of P–O bond distances ranging from 1.50–1.58 Å. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three SnO6 octahedra and a cornercorner with one LiO5 square pyramid. The corner-sharing octahedra tilt angles range from 21–58°. There are a spread of P–O bond distances ranging from 1.52–1.59 Å. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three SnO6 octahedra, a cornercorner with one LiO5 square pyramid, and a cornercorner with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 34–52°. There are a spread of P–O bond distances ranging from 1.55–1.58 Å. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three SnO6 octahedra and an edgeedge with one LiO5 square pyramid. The corner-sharing octahedra tilt angles range from 31–49°. There are a spread of P–O bond distances ranging from 1.50–1.59 Å. There are forty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a 1-coordinate geometry to one Li1+, one Sn3+, and one P5+ atom. In the second O2- site, O2- is bonded in a 1-coordinate geometry to one Li1+, one Sn3+, and one P5+ atom. In the third O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Sn3+, and one P5+ atom. In the fourth O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, one Sn3+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Sn3+, and one P5+ atom. In the sixth O2- site, O2- is bonded in a distorted single-bond geometry to two Sn3+ and one P5+ atom. In the seventh O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one Sn3+, and one P5+ atom. In the eighth O2- site, O2- is bonded in a 1-coordinate geometry to two Sn3+ and one P5+ atom. In the ninth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Sn3+, and one P5+ atom. In the tenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Sn3+, and one P5+ atom. In the eleventh O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Sn3+, and one P5+ atom. In the twelfth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Sn3+, and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a 2-coordinate geometry to two Sn3+ and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Sn3+, and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Sn3+, and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a distorted T-shaped geometry to two Li1+ and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Sn3+, and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a distorted T-shaped geometry to two Li1+ and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Sn3+, and one P5+ atom. In the twentieth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Sn3+, and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Sn3+, and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Sn3+, and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Sn3+, and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one Sn3+, and one P5+ atom. In the twenty-fifth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Sn3+, and one P5+ atom. In the twenty-sixth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Sn3+, and one P5+ atom. In the twenty-seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Sn3+, and one P5+ atom. In the twenty-eighth O2- site, O2- is bonded in a 1-coordinate geometry to two Sn3+ and one P5+ atom. In the twenty-ninth O2- site, O2- is bonded in a distorted T-shaped geometry to two Li1+ and one P5+ atom. In the thirtieth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Sn3+, and one P5+ atom. In the thirty-first O2- site, O2- is bonded in a distorted T-shaped geometry to two Li1+ and one P5+ atom. In the thirty-second O2- site, O2- is bonded in a 2-coordinate geometry to two Sn3+ and one P5+ atom. In the thirty-third O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Sn3+, and one P5+ atom. In the thirty-fourth O2- site, O2- is bonded in a 2-coordinate geometry to two Sn3+ and one P5+ atom. In the thirty-fifth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Sn3+, and one P5+ atom. In the thirty-sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Sn3+, and one P5+ atom. In the thirty-seventh O2- site, O2- is bonded in a 1-coordinate geometry to two Sn3+ and one P5+ atom. In the thirty-eighth O2- site, O2- is bonded in a 3-coordinate geometry to one

36 MATERIALS SCIENCE↗