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Materials Data on Nd3Ti12Bi13O48 by Materials Project

Nd3Ti12Bi13O48 is Pb (Zr_0.50 Ti_0.48) O_3-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are three inequivalent Nd3+ sites. In the first Nd3+ site, Nd3+ is bonded in a 6-coordinate geometry to seven O2- atoms. There are a spread of Nd–O bond distances ranging from 2.36–2.92 Å. In the second Nd3+ site, Nd3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Nd–O bond distances ranging from 2.38–2.64 Å. In the third Nd3+ site, Nd3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Nd–O bond distances ranging from 2.37–2.59 Å. There are twelve inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ti–O bond distances ranging from 1.78–2.38 Å. In the second Ti4+ site, Ti4+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ti–O bond distances ranging from 1.79–2.40 Å. In the third Ti4+ site, Ti4+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ti–O bond distances ranging from 1.78–2.41 Å. In the fourth Ti4+ site, Ti4+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ti–O bond distances ranging from 1.79–2.38 Å. In the fifth Ti4+ site, Ti4+ is bonded to six O2- atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 20–29°. There are a spread of Ti–O bond distances ranging from 1.86–2.10 Å. In the sixth Ti4+ site, Ti4+ is bonded to six O2- atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 20–30°. There are a spread of Ti–O bond distances ranging from 1.87–2.08 Å. In the seventh Ti4+ site, Ti4+ is bonded to six O2- atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 20–29°. There are a spread of Ti–O bond distances ranging from 1.86–2.08 Å. In the eighth Ti4+ site, Ti4+ is bonded to six O2- atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 20–30°. There are a spread of Ti–O bond distances ranging from 1.85–2.10 Å. In the ninth Ti4+ site, Ti4+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ti–O bond distances ranging from 1.77–2.38 Å. In the tenth Ti4+ site, Ti4+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ti–O bond distances ranging from 1.77–2.37 Å. In the eleventh Ti4+ site, Ti4+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ti–O bond distances ranging from 1.77–2.38 Å. In the twelfth Ti4+ site, Ti4+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ti–O bond distances ranging from 1.77–2.38 Å. There are thirteen inequivalent Bi3+ sites. In the first Bi3+ site, Bi3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Bi–O bond distances ranging from 2.23–2.67 Å. In the second Bi3+ site, Bi3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Bi–O bond distances ranging from 2.22–2.66 Å. In the third Bi3+ site, Bi3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Bi–O bond distances ranging from 2.23–2.68 Å. In the fourth Bi3+ site, Bi3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Bi–O bond distances ranging from 2.23–2.67 Å. In the fifth Bi3+ site, Bi3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Bi–O bond distances ranging from 2.24–2.74 Å. In the sixth Bi3+ site, Bi3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Bi–O bond distances ranging from 2.24–2.73 Å. In the seventh Bi3+ site, Bi3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Bi–O bond distances ranging from 2.24–2.74 Å. In the eighth Bi3+ site, Bi3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Bi–O bond distances ranging from 2.24–2.74 Å. In the ninth Bi3+ site, Bi3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Bi–O bond distances ranging from 2.31–2.91 Å. In the tenth Bi3+ site, Bi3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Bi–O bond distances ranging from 2.30–2.90 Å. In the eleventh Bi3+ site, Bi3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Bi–O bond distances ranging from 2.31–2.92 Å. In the twelfth Bi3+ site, Bi3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Bi–O bond distances ranging from 2.30–2.83 Å. In the thirteenth Bi3+ site, Bi3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Bi–O bond distances ranging from 2.33–2.47 Å. There are forty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded to two Nd3+ and two Ti4+ atoms to form distorted edge-sharing ONd2Ti2 tetrahedra. In the second O2- site, O2- is bonded in a 4-coordinate geometry to one Nd3+, two Ti4+, and one Bi3+ atom. In the third O2- site, O2- is bonded to two Nd3+ and two Ti4+ atoms to form distorted edge-sharing ONd2Ti2 tetrahedra. In the fourth O2- site, O2- is bonded in a distorted tetrahedral geometry to one Nd3+, two Ti4+, and one Bi3+ atom. In the fifth O2- site, O2- is bonded in a 4-coordinate geometry to two Ti4+ and two Bi3+ atoms. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to two Ti4+ and two Bi3+ atoms. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to two Ti4+ and two Bi3+ atoms. In the eighth O2- site, O2- is bonded in a 4-coordinate geometry to two Ti4+ and two Bi3+ atoms. In the ninth O2- site, O2- is bonded in a 3-coordinate geometry to one Nd3+, two Ti4+, and one Bi3+ atom. In the tenth O2- site, O2- is bonded in a 3-coordinate geometry to one Nd3+, two Ti4+, and one Bi3+ atom. In the eleventh O2- site, O2- is bonded in a 3-coordinate geometry to one Nd3+, two Ti4+, and one Bi3+ atom. In the twelfth O2- site, O2- is bonded in a 2-coordinate geometry to two Ti4+ and two Bi3+ atoms. In the thirteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Nd3+ and two Ti4+ atoms. In the fourteenth O2- site, O2- is bonded in a 2-coordinate geometry to one Nd3+ and two Ti4+ atoms. In the fifteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Ti4+ and one Bi3+ atom. In the sixteenth O2- site, O2- is bonded in a 2-coordinate geometry to one Nd3+ and two Ti4+ atoms. In the seventeenth O2- site, O2- is bonded to four Bi3+ atoms to form a mixture of corner and edge-sharing OBi4 tetrahedra. In the eighteenth O2- site, O2- is bonded to four Bi3+ atoms to form a mixture of corner and edge-sharing OBi4 tetrahedra. In the nineteenth O2- site, O2- is bonded to four Bi3+ atoms to form a mixture of corner and edge-sharing OBi4 tetrahedra. In the twentieth O2- site, O2- is bonded to four Bi3+ atoms to form a mixture of corner and edge-sharing OBi4 tetrahedra. In the twenty-first O2- site, O2- is bonded in a 3-coordinate geometry to two Ti4+ and one Bi3+ atom. In the twenty-second O2- site, O2- is bonded in a 3-coordinate geometry to two Ti4+ and one Bi3+ atom. In the twenty-third O2- site, O2- is bonded in a 3-coordinate geometry to two Ti4+ and one Bi3+ atom. In the twenty-fourth O2- site, O2- is bonded in a 3-coordinate geometry to two Ti4+ and one Bi3+ atom. In the twenty-fifth O2- site, O2- is bonded in a 1-coordinate geometry to one Nd3+, two Ti4+, and one Bi3+ atom. In the twenty-sixth O2- site, O2- is bonded in a 1-coordinate geometry to two Nd3+ and two Ti4+ atoms. In the twenty-seventh O2- site, O2- is bonded in a 4-coordinate geometry to one Nd3+, two Ti4+, and one Bi3+ atom. In the twenty-eighth O2- site, O2- is bonded in a 1-coordinate geometry to three Nd3+ and two Ti4+ atoms. In the twenty-ninth O2- site, O2- is bonded in a distorted single-bond geometry to one Ti4+ and two Bi3+ atoms. In the thirtieth O2- site, O2- is bonded in a distorted single-bond geometry to one Ti4+ and two Bi3+ atoms. In the thirty-first O2- site, O2- is bonded in a distorted single-bond geometry to one Ti4+ and two Bi3+ atoms. In the thirty-second O2- site, O2- is bonded in a distorted single-bond geometry to one Ti4+ and two Bi3+ atoms. In the thirty-third O2- site, O2- is bonded in a distorted single-bond geometry to one Ti4+ and two Bi3+ atoms. In the thirty-fourth O2- site, O2- is bonded in a distorted single-bond geometry to one Ti4+ and two Bi3+ atoms. In the thirty-fifth O2- site, O2- is bonded in a distorted single-bond geometry to one Ti4+ and two Bi3+ atoms. In the thirty-sixth O2- site, O2- is bonded in a distorted single-bond geometry to one Ti4+ and two Bi3+ atoms. In the thirty-seventh O2- site, O2- is bonded to four Bi3+ atoms to form a mixture of corner and edge-sharing OBi4 tetrahedra. In the thirty-eighth O2- site, O2- is bonded to four Bi3+ atoms to form a mixture of corner and edge-sharing OBi4 tetrahedra. In the thirty-ninth O2- site, O2- is bonded to four Bi3+ atoms to form a mixture of corner and edge-sharing OBi4 tetrahedra. In the fortieth O2- site, O2- is bonded to four Bi3+ atoms to form a mixture of corner and edge-sharing OBi4 tetrahedra. In the forty-first O2- site, O2- is bonded in a 2-coordinate geometry to two Ti4+ and two Bi3+ atoms. In the forty-second O2- site, O2- is bonded in a 2-coordinate geometry to two Ti4+ and two Bi3+ atoms. In the forty-third O2- site, O2- is bonded in a 2-coordinate geometry to two Ti4+ and two Bi3+ atoms. In the forty-fourth O2- site, O2- is bonded in a 2-coordinate geometry to two Ti4+ and two Bi3+ atoms. In the forty-fifth O2- site, O2- is bonded in a distorted see-saw-like geometry to two Ti4+ and two Bi3+ atoms. In the forty-sixth O2- site, O2- is bonded in a distorted see-saw-like geometry to two Ti4+ and two Bi3+ atoms. In the forty-seventh O2- site, O2- is bonded in a distorted see-saw-like geometry to two Ti4+ and two Bi3+ atoms. In the forty-eighth O2- site, O2- is bonded in a distorted see-saw-like geometry to two Ti4+ and two Bi3+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Li3Mn4O8 by Materials Project

Li3Mn4O8 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 1.94–2.10 Å. In the second Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share corners with four MnO6 octahedra, corners with four MnO5 square pyramids, an edgeedge with one MnO5 square pyramid, edges with two equivalent LiO5 trigonal bipyramids, and a faceface with one MnO6 octahedra. The corner-sharing octahedra tilt angles range from 43–54°. There are a spread of Li–O bond distances ranging from 2.01–2.35 Å. In the third Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share corners with four MnO6 octahedra, corners with four MnO5 square pyramids, an edgeedge with one MnO5 square pyramid, edges with two equivalent LiO5 trigonal bipyramids, and a faceface with one MnO6 octahedra. The corner-sharing octahedra tilt angles range from 43–54°. There are a spread of Li–O bond distances ranging from 2.01–2.30 Å. In the fourth Li1+ site, Li1+ is bonded in a 1-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.89–2.57 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 1.91–2.35 Å. In the sixth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share corners with four MnO6 octahedra, corners with four MnO5 square pyramids, an edgeedge with one MnO5 square pyramid, and a faceface with one MnO6 octahedra. The corner-sharing octahedra tilt angles range from 38–57°. There are a spread of Li–O bond distances ranging from 2.01–2.24 Å. In the seventh 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 1.94–2.11 Å. In the eighth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share corners with four MnO6 octahedra, corners with four MnO5 square pyramids, an edgeedge with one MnO5 square pyramid, edges with two equivalent LiO5 trigonal bipyramids, and a faceface with one MnO6 octahedra. The corner-sharing octahedra tilt angles range from 42–54°. There are a spread of Li–O bond distances ranging from 2.01–2.33 Å. In the ninth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share corners with four MnO6 octahedra, corners with four MnO5 square pyramids, an edgeedge with one MnO5 square pyramid, edges with two equivalent LiO5 trigonal bipyramids, and a faceface with one MnO6 octahedra. The corner-sharing octahedra tilt angles range from 43–54°. There are a spread of Li–O bond distances ranging from 2.01–2.32 Å. In the tenth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share corners with four MnO6 octahedra, corners with four MnO5 square pyramids, an edgeedge with one MnO5 square pyramid, and a faceface with one MnO6 octahedra. The corner-sharing octahedra tilt angles range from 37–58°. There are a spread of Li–O bond distances ranging from 2.02–2.21 Å. In the eleventh Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.91–2.40 Å. In the twelfth Li1+ site, Li1+ is bonded in a 1-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.89–2.69 Å. There are sixteen inequivalent Mn+3.25+ sites. In the first Mn+3.25+ site, Mn+3.25+ is bonded to five O2- atoms to form MnO5 square pyramids that share corners with four MnO6 octahedra, corners with three LiO5 trigonal bipyramids, edges with two equivalent MnO5 square pyramids, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 46–54°. There are a spread of Mn–O bond distances ranging from 1.92–2.13 Å. In the second Mn+3.25+ site, Mn+3.25+ is bonded to five O2- atoms to form MnO5 square pyramids that share corners with four MnO6 octahedra, corners with three LiO5 trigonal bipyramids, edges with two equivalent MnO5 square pyramids, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 45–54°. There are a spread of Mn–O bond distances ranging from 1.91–2.11 Å. In the third Mn+3.25+ site, Mn+3.25+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with four MnO5 square pyramids, corners with three LiO5 trigonal bipyramids, edges with four MnO6 octahedra, and a faceface with one LiO5 trigonal bipyramid. There are a spread of Mn–O bond distances ranging from 1.89–2.08 Å. In the fourth Mn+3.25+ site, Mn+3.25+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with four MnO5 square pyramids, corners with three LiO5 trigonal bipyramids, edges with four MnO6 octahedra, and a faceface with one LiO5 trigonal bipyramid. There are a spread of Mn–O bond distances ranging from 1.90–2.24 Å. In the fifth Mn+3.25+ site, Mn+3.25+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with four MnO5 square pyramids, corners with three LiO5 trigonal bipyramids, edges with four MnO6 octahedra, and a faceface with one LiO5 trigonal bipyramid. There are a spread of Mn–O bond distances ranging from 1.89–2.07 Å. In the sixth Mn+3.25+ site, Mn+3.25+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with four MnO5 square pyramids, corners with three LiO5 trigonal bipyramids, edges with four MnO6 octahedra, and a faceface with one LiO5 trigonal bipyramid. There are a spread of Mn–O bond distances ranging from 1.90–2.25 Å. In the seventh Mn+3.25+ site, Mn+3.25+ is bonded to five O2- atoms to form MnO5 square pyramids that share corners with four MnO6 octahedra, corners with three LiO5 trigonal bipyramids, edges with two equivalent MnO5 square pyramids, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 47–54°. There are a spread of Mn–O bond distances ranging from 1.92–2.13 Å. In the eighth Mn+3.25+ site, Mn+3.25+ is bonded to five O2- atoms to form MnO5 square pyramids that share corners with four MnO6 octahedra, corners with three LiO5 trigonal bipyramids, edges with two equivalent MnO5 square pyramids, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 45–54°. There are a spread of Mn–O bond distances ranging from 1.91–2.11 Å. In the ninth Mn+3.25+ site, Mn+3.25+ is bonded to five O2- atoms to form MnO5 square pyramids that share corners with four MnO6 octahedra, corners with four LiO5 trigonal bipyramids, and edges with two equivalent MnO5 square pyramids. The corner-sharing octahedra tilt angles range from 49–51°. There are a spread of Mn–O bond distances ranging from 1.93–2.05 Å. In the tenth Mn+3.25+ site, Mn+3.25+ is bonded to five O2- atoms to form MnO5 square pyramids that share corners with four MnO6 octahedra, corners with two LiO5 trigonal bipyramids, edges with two equivalent MnO5 square pyramids, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 47–51°. There are a spread of Mn–O bond distances ranging from 1.90–2.14 Å. In the eleventh Mn+3.25+ site, Mn+3.25+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with four MnO5 square pyramids, corners with two LiO5 trigonal bipyramids, edges with four MnO6 octahedra, and a faceface with one LiO5 trigonal bipyramid. There are a spread of Mn–O bond distances ranging from 1.91–2.05 Å. In the twelfth Mn+3.25+ site, Mn+3.25+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with four MnO5 square pyramids, corners with four LiO5 trigonal bipyramids, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.94–2.17 Å. In the thirteenth Mn+3.25+ site, Mn+3.25+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with four MnO5 square pyramids, corners with four LiO5 trigonal bipyramids, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.93–2.17 Å. In the fourteenth Mn+3.25+ site, Mn+3.25+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with four MnO5 square pyramids, corners with two LiO5 trigonal bipyramids, edges with four MnO6 octahedra, and a faceface with one LiO5 trigonal bipyramid. There are a spread of Mn–O bond distances ranging from 1.91–2.06 Å. In the fifteenth Mn+3.25+ site, Mn+3.25+ is bonded to five O2- atoms to form MnO5 square pyramids that share corners with four MnO6 octahedra, corners with two LiO5 trigonal bipyramids, edges with two equivalent MnO5 square pyramids, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 46–52°. There are a spread of Mn–O bond distances ranging from 1.90–2.14 Å. In the sixteenth Mn+3.25+ site, Mn+3.25+ is bonded to five O2- atoms to form MnO5 square pyramids that share corners with four MnO6 octahedra, corners with four LiO5 trigonal bipyramids, and edges with two equivalent MnO5 square pyramids. The corner-sharing octahedra tilt angles range from 49–51°. There are a spread of Mn–O bond distances ranging from 1.92–2.05 Å. There are thirty-two inequivalent O2- sites. In the first O2- site, O2- is bonded to one Li1+ and three Mn+3.25+ atoms to form distorted OLiMn3 trigonal pyramids that share corners with two equivalent OLiMn3 tetrahedra, a cornercorner with one OLi2Mn3 trigonal bipyramid, and an edgeedge with one OLi3Mn2 trigonal bipyramid. In the second O2- site, O2- is bonded to one Li1+ and three Mn+3.25+ atoms to form distorted OLiMn3 tetrahedra that share corners with two equivalent OLi3Mn2 trigonal bipyramids and corners with two equivalent OLiMn3 trigonal pyramids. In the third O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.25+ atoms. In the fourth O2- site, O2- is bonded to one Li1+ and three Mn+3.25+ atoms to form distorted OLiMn3 trigonal pyramids that share corners with four OLiMn3 tetrahedra and an edgeedge with one OLi2Mn3 trigonal bipyramid. In the fifth O2- site, O2- is bonded to one Li1+ and three Mn+3.25+ atoms to form distorted OLiMn3 trigonal pyramids that share corners with four OLiMn3 tetrahedra and an edgeedge with one OLi2Mn3 trigonal bipyramid. In the sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.25+ atoms. In the seventh O2- site, O2- is bonded to one Li1+ and three Mn+3.25+ atoms to form distorted OLiMn3 tetrahedra that share corners with two equivalent OLi3Mn2 trigonal bipyramids and corners with two equivalent OLiMn3 trigonal pyramids. In the eighth O2- site, O2- is bonded to one Li1+ and three Mn+3.25+ atoms to form distorted OLiMn3 trigonal pyramids that share corners with two equivalent OLiMn3 tetrahedra, a cornercorner with one OLi2Mn3 trigonal bipyramid, and an edgeedge with one OLi3Mn2 trigonal bipyramid. In the ninth O2- site, O2- is bonded to one Li1+ and three Mn+3.25+ atoms to form distorted OLiMn3 tetrahedra that share corners with two equivalent OLiMn3 tetrahedra, a cornercorner with one OLi3Mn2 trigonal bipyramid, corners with two OLiMn3 trigonal pyramids, and an edgeedge with one OLi2Mn3 trigonal bipyramid. In the tenth O2- site, O2- is bonded to one Li1+ and three Mn+3.25+ atoms to form distorted OLiMn3 tetrahedra that share corners with two equivalent OLiMn3 tetrahedra, a cornercorner with one OLi3Mn2 trigonal bipyramid, corners with two OLiMn3 trigonal pyramids, and an edgeedge with one OLi2Mn3 trigonal bipyramid. In the eleventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Mn+3.25+ atoms. In the twelfth O2-

36 MATERIALS SCIENCE↗

Materials Data on Li3V3P8O29 by Materials Project

Li3V3P8O29 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 to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four PO4 tetrahedra and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.88–2.36 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four PO4 tetrahedra and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.88–2.36 Å. In the third Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.91–2.33 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 1.91–2.32 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 VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.89–2.30 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four PO4 tetrahedra and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.89–2.31 Å. There are six inequivalent V5+ sites. In the first V5+ site, V5+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.82–2.00 Å. In the second V5+ site, V5+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.83–1.96 Å. In the third V5+ site, V5+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.85–1.99 Å. In the fourth V5+ site, V5+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.85–1.99 Å. In the fifth V5+ site, V5+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.82–2.00 Å. In the sixth V5+ site, V5+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.83–1.97 Å. There are sixteen inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 36–38°. 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 36–38°. There are a spread of P–O bond distances ranging from 1.47–1.61 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 38–39°. There are a spread of P–O bond distances ranging from 1.48–1.63 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra and a cornercorner with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 30–34°. There are a spread of P–O bond distances ranging from 1.48–1.61 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra and a cornercorner with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 30–33°. There are a spread of P–O bond distances ranging from 1.48–1.61 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 40–45°. There are a spread of P–O bond distances ranging from 1.48–1.60 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 38–44°. There are a spread of P–O bond distances ranging from 1.47–1.64 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 38–39°. There are a spread of P–O bond distances ranging from 1.48–1.63 Å. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 40–47°. 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, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 40–45°. There are a spread of P–O bond distances ranging from 1.48–1.60 Å. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 38–44°. There are a spread of P–O bond distances ranging from 1.47–1.64 Å. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra and a cornercorner with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 30–33°. There are a spread of P–O bond distances ranging from 1.48–1.60 Å. In the thirteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra and a cornercorner with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 30–33°. 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 40–47°. There are a spread of P–O bond distances ranging from 1.48–1.62 Å. In the fifteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 38–39°. There are a spread of P–O bond distances ranging from 1.50–1.60 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 37–39°. There are a spread of P–O bond distances ranging from 1.50–1.60 Å. There are fifty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Li1+ and one P5+ atom. In the second O2- site, O2- is bonded in a bent 150 degrees geometry to one V5+ and one P5+ atom. In the third O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two P5+ atoms. In the fourth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Li1+ and one P5+ atom. In the fifth O2- site, O2- is bonded in a bent 150 degrees geometry to one V5+ and one P5+ atom. In the sixth O2- site, O2- is bonded in a bent 150 degrees geometry to one V5+ and one P5+ atom. In the seventh O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V5+, and one P5+ atom. In the eighth O2- site, O2- is bonded in a bent 150 degrees geometry to one V5+ and one P5+ atom. In the ninth O2- site, O2- is bonded in a trigonal planar geometry to two Li1+ and one P5+ atom. In the tenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V5+, and one P5+ atom. In the eleventh O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V5+, and one P5+ atom. In the twelfth O2- site, O2- is bonded in a bent 150 degrees geometry to one V5+ and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one V5+ and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a single-bond geometry to one P5+ atom. In the fifteenth O2- site, O2- is bonded in a single-bond geometry to one P5+ atom. In the sixteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one V5+ and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V5+, and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one V5+ and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one V5+ and one P5+ atom. In the twentieth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two P5+ atoms. In the twenty-first O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Li1+ 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 one V5+ and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V5+, and one P5+ atom. In the twenty-fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V5+, and one P5+ atom. In the twenty-sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V5+, and one P5+ atom. In the twenty-seventh O2- site, O2- is bonded in a bent 150 degrees geometry to one V5+ and one P5+ atom. In the twenty-eighth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Li1+ and one P5+ atom. In the twenty-ninth O2- site, O2- is bonded in a trigonal planar geometry to two Li1+ and one P5+ atom. In the thirtieth O2- site, O2- is bonded in a bent 150 degrees geometry to one V5+ and one P5+ atom. In the thirty-first O2- site, O2- is bonded in a bent 150 degrees geometry to one V5+ and one P5+ atom. In the thirty-second O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two P5+ atoms. In the thirty-third O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V5+, and one P5+ atom. In the thirty-fourth O2- site, O2- is bonded in a bent 150 degrees geometry to one V5+ and one P5+ atom. In the thirty-fifth O2- site, O2- is bonded in a bent 150 degrees geometry to one V5+ and one P5+ atom. In the thirty-sixth O2- site, O2- is bonded in a single-bond geometry to one P5+ atom. In the thirty-seventh O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Li1+ and one P5+ atom. In the thirty-eighth O2- site, O2- is bonded in a distorted bent 150 degrees geometr

36 MATERIALS SCIENCE↗

Materials Data on Sm6MnS10 by Materials Project

Sm6MnS10 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twenty-four inequivalent Sm3+ sites. In the first Sm3+ site, Sm3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Sm–S bond distances ranging from 2.79–3.25 Å. In the second Sm3+ site, Sm3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Sm–S bond distances ranging from 2.79–3.17 Å. In the third Sm3+ site, Sm3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Sm–S bond distances ranging from 2.77–3.19 Å. In the fourth Sm3+ site, Sm3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Sm–S bond distances ranging from 2.77–3.17 Å. In the fifth Sm3+ site, Sm3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Sm–S bond distances ranging from 2.79–3.19 Å. In the sixth Sm3+ site, Sm3+ is bonded in a 7-coordinate geometry to eight S2- atoms. There are a spread of Sm–S bond distances ranging from 2.75–3.45 Å. In the seventh Sm3+ site, Sm3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Sm–S bond distances ranging from 2.78–3.16 Å. In the eighth Sm3+ site, Sm3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Sm–S bond distances ranging from 2.78–3.17 Å. In the ninth Sm3+ site, Sm3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Sm–S bond distances ranging from 2.77–3.24 Å. In the tenth Sm3+ site, Sm3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Sm–S bond distances ranging from 2.79–3.14 Å. In the eleventh Sm3+ site, Sm3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Sm–S bond distances ranging from 2.79–3.19 Å. In the twelfth Sm3+ site, Sm3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Sm–S bond distances ranging from 2.79–3.06 Å. In the thirteenth Sm3+ site, Sm3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Sm–S bond distances ranging from 2.76–3.11 Å. In the fourteenth Sm3+ site, Sm3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Sm–S bond distances ranging from 2.78–3.06 Å. In the fifteenth Sm3+ site, Sm3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Sm–S bond distances ranging from 2.81–3.08 Å. In the sixteenth Sm3+ site, Sm3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Sm–S bond distances ranging from 2.78–3.17 Å. In the seventeenth Sm3+ site, Sm3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Sm–S bond distances ranging from 2.75–3.27 Å. In the eighteenth Sm3+ site, Sm3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Sm–S bond distances ranging from 2.80–3.15 Å. In the nineteenth Sm3+ site, Sm3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Sm–S bond distances ranging from 2.75–3.17 Å. In the twentieth Sm3+ site, Sm3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Sm–S bond distances ranging from 2.79–3.10 Å. In the twenty-first Sm3+ site, Sm3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Sm–S bond distances ranging from 2.78–3.12 Å. In the twenty-second Sm3+ site, Sm3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Sm–S bond distances ranging from 2.79–3.18 Å. In the twenty-third Sm3+ site, Sm3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Sm–S bond distances ranging from 2.78–3.19 Å. In the twenty-fourth Sm3+ site, Sm3+ is bonded in a distorted hexagonal bipyramidal geometry to eight S2- atoms. There are a spread of Sm–S bond distances ranging from 2.81–3.11 Å. There are four inequivalent Mn2+ sites. In the first Mn2+ site, Mn2+ is bonded in a 7-coordinate geometry to seven S2- atoms. There are a spread of Mn–S bond distances ranging from 2.58–3.14 Å. In the second Mn2+ site, Mn2+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Mn–S bond distances ranging from 2.49–3.21 Å. In the third Mn2+ site, Mn2+ is bonded in a 4-coordinate geometry to eight S2- atoms. There are a spread of Mn–S bond distances ranging from 2.54–3.35 Å. In the fourth Mn2+ site, Mn2+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Mn–S bond distances ranging from 2.50–3.32 Å. There are forty inequivalent S2- sites. In the first S2- site, S2- is bonded in a 6-coordinate geometry to four Sm3+ and two Mn2+ atoms. In the second S2- site, S2- is bonded in a 6-coordinate geometry to four Sm3+ and two Mn2+ atoms. In the third S2- site, S2- is bonded in a 6-coordinate geometry to five Sm3+ and one Mn2+ atom. In the fourth S2- site, S2- is bonded in a 6-coordinate geometry to five Sm3+ and one Mn2+ atom. In the fifth S2- site, S2- is bonded in a 6-coordinate geometry to four Sm3+ and two Mn2+ atoms. In the sixth S2- site, S2- is bonded in a 6-coordinate geometry to five Sm3+ and one Mn2+ atom. In the seventh S2- site, S2- is bonded in a 5-coordinate geometry to four Sm3+ and two Mn2+ atoms. In the eighth S2- site, S2- is bonded in a 6-coordinate geometry to four Sm3+ and two Mn2+ atoms. In the ninth S2- site, S2- is bonded in a 5-coordinate geometry to four Sm3+ and one Mn2+ atom. In the tenth S2- site, S2- is bonded in a 6-coordinate geometry to five Sm3+ and one Mn2+ atom. In the eleventh S2- site, S2- is bonded in a 5-coordinate geometry to four Sm3+ and one Mn2+ atom. In the twelfth S2- site, S2- is bonded in a 6-coordinate geometry to five Sm3+ and one Mn2+ atom. In the thirteenth S2- site, S2- is bonded in a 5-coordinate geometry to five Sm3+ and one Mn2+ atom. In the fourteenth S2- site, S2- is bonded in a 6-coordinate geometry to four Sm3+ and two Mn2+ atoms. In the fifteenth S2- site, S2- is bonded in a 6-coordinate geometry to five Sm3+ and one Mn2+ atom. In the sixteenth S2- site, S2- is bonded in a 6-coordinate geometry to four Sm3+ and two Mn2+ atoms. In the seventeenth S2- site, S2- is bonded in a 5-coordinate geometry to five Sm3+ and one Mn2+ atom. In the eighteenth S2- site, S2- is bonded in a 5-coordinate geometry to four Sm3+ and one Mn2+ atom. In the nineteenth S2- site, S2- is bonded in a 5-coordinate geometry to four Sm3+ and one Mn2+ atom. In the twentieth S2- site, S2- is bonded to five Sm3+ atoms to form a mixture of distorted corner and edge-sharing SSm5 square pyramids. In the twenty-first S2- site, S2- is bonded to five Sm3+ atoms to form a mixture of distorted corner, edge, and face-sharing SSm5 square pyramids. In the twenty-second S2- site, S2- is bonded to four Sm3+ and one Mn2+ atom to form a mixture of distorted corner and edge-sharing SSm4Mn square pyramids. In the twenty-third S2- site, S2- is bonded to five Sm3+ atoms to form a mixture of distorted corner, edge, and face-sharing SSm5 square pyramids. In the twenty-fourth S2- site, S2- is bonded to five Sm3+ atoms to form a mixture of distorted corner and edge-sharing SSm5 square pyramids. In the twenty-fifth S2- site, S2- is bonded in a 6-coordinate geometry to five Sm3+ and one Mn2+ atom. In the twenty-sixth S2- site, S2- is bonded in a 6-coordinate geometry to six Sm3+ atoms. In the twenty-seventh S2- site, S2- is bonded in a 6-coordinate geometry to six Sm3+ atoms. In the twenty-eighth S2- site, S2- is bonded to five Sm3+ atoms to form a mixture of distorted corner, edge, and face-sharing SSm5 square pyramids. In the twenty-ninth S2- site, S2- is bonded in a 6-coordinate geometry to six Sm3+ atoms. In the thirtieth S2- site, S2- is bonded to five Sm3+ atoms to form a mixture of distorted corner, edge, and face-sharing SSm5 square pyramids. In the thirty-first S2- site, S2- is bonded to five Sm3+ atoms to form distorted SSm5 trigonal bipyramids that share corners with three SSm4Mn square pyramids, edges with four SSm5 square pyramids, and a faceface with one SSm5 square pyramid. In the thirty-second S2- site, S2- is bonded to five Sm3+ atoms to form a mixture of distorted corner, edge, and face-sharing SSm5 square pyramids. In the thirty-third S2- site, S2- is bonded in a 5-coordinate geometry to four Sm3+ and one Mn2+ atom. In the thirty-fourth S2- site, S2- is bonded in a 6-coordinate geometry to five Sm3+ and one Mn2+ atom. In the thirty-fifth S2- site, S2- is bonded to five Sm3+ atoms to form a mixture of distorted corner, edge, and face-sharing SSm5 square pyramids. In the thirty-sixth S2- site, S2- is bonded in a 6-coordinate geometry to six Sm3+ atoms. In the thirty-seventh S2- site, S2- is bonded to five Sm3+ atoms to form a mixture of distorted corner, edge, and face-sharing SSm5 square pyramids. In the thirty-eighth S2- site, S2- is bonded in a 6-coordinate geometry to six Sm3+ atoms. In the thirty-ninth S2- site, S2- is bonded in a 6-coordinate geometry to five Sm3+ and one Mn2+ atom. In the fortieth S2- site, S2- is bonded to five Sm3+ atoms to form a mixture of distorted corner, edge, and face-sharing SSm5 square pyramids.

36 MATERIALS SCIENCE↗

Materials Data on Li6MnV3(PO4)6 by Materials Project

Li6V3Mn(PO4)6 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twelve inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 1.94–2.75 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 1.99–2.54 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 edges with two VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.95–2.01 Å. In the fourth Li1+ site, Li1+ is bonded in a distorted see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.97–2.01 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 1.99–2.56 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 1.95–2.76 Å. In the seventh Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 1.96–2.76 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 1.98–2.53 Å. In the ninth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four PO4 tetrahedra, an edgeedge with one VO6 octahedra, and an edgeedge with one MnO6 octahedra. There are a spread of Li–O bond distances ranging from 1.92–1.99 Å. In the tenth Li1+ site, Li1+ is bonded in a distorted see-saw-like geometry to four O2- atoms. There is two shorter (1.96 Å) and two longer (1.99 Å) Li–O bond length. In the eleventh Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.98–2.52 Å. In the twelfth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 1.94–2.73 Å. There are six inequivalent V+3.33+ sites. In the first V+3.33+ site, V+3.33+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.95–2.18 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 an edgeedge with one LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.94–2.12 Å. In the third V+3.33+ site, V+3.33+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.94–2.19 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 LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.93–2.11 Å. In the fifth V+3.33+ site, V+3.33+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.94–2.21 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 and an edgeedge with one LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.92–2.12 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 LiO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 1.90–2.18 Å. In the second Mn2+ site, Mn2+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 1.92–2.29 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 two VO6 octahedra and corners with two MnO6 octahedra. The corner-sharing octahedra tilt angles range from 28–40°. There is one shorter (1.53 Å) and three longer (1.55 Å) P–O bond length. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four VO6 octahedra. The corner-sharing octahedra tilt angles range from 13–45°. There are a spread of P–O bond distances ranging from 1.53–1.57 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four VO6 octahedra and a cornercorner with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 11–44°. There are a spread of P–O bond distances ranging from 1.51–1.57 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, corners with three VO6 octahedra, and a cornercorner with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 13–45°. There are a spread of P–O bond distances ranging from 1.53–1.56 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, corners with three VO6 octahedra, and a cornercorner with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 11–44°. There are a spread of P–O bond distances ranging from 1.51–1.57 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four VO6 octahedra and a cornercorner with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 28–38°. There is two shorter (1.54 Å) and two longer (1.55 Å) P–O bond length. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four VO6 octahedra. The corner-sharing octahedra tilt angles range from 29–38°. There is one shorter (1.54 Å) and three longer (1.55 Å) P–O bond length. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, corners with two MnO6 octahedra, and a cornercorner with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 12–47°. There are a spread of P–O bond distances ranging from 1.51–1.57 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 17–45°. There are a spread of P–O bond distances ranging from 1.53–1.57 Å. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with three VO6 octahedra, and a cornercorner with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 11–44°. There are a spread of P–O bond distances ranging from 1.51–1.58 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, corners with three VO6 octahedra, and a cornercorner with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 16–47°. 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 corners with two VO6 octahedra, corners with two MnO6 octahedra, and a cornercorner with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 31–37°. There are a spread of P–O bond distances ranging from 1.53–1.56 Å. There are forty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+3.33+, and one P5+ atom. In the second O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+3.33+, and one P5+ atom. In the third O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+3.33+, and one P5+ atom. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one V+3.33+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Li1+, one V+3.33+, and one P5+ atom. In the sixth O2- site, O2- is bonded in a linear geometry to one V+3.33+ and one P5+ atom. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one V+3.33+, and one P5+ atom. In the eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one V+3.33+, and one P5+ atom. In the ninth O2- site, O2- is bonded in a distorted tetrahedral geometry to two Li1+, one V+3.33+, and one P5+ atom. In the tenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+3.33+, and one P5+ atom. In the eleventh O2- site, O2- is bonded in a linear geometry to one V+3.33+ and one P5+ atom. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one V+3.33+, and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one V+3.33+, and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a linear geometry to one V+3.33+ and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+3.33+, and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a distorted tetrahedral geometry to two Li1+, one V+3.33+, and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one V+3.33+, and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one V+3.33+, and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a linear geometry to one V+3.33+ and one P5+ atom. In the twentieth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Li1+, one V+3.33+, and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one V+3.33+, and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+3.33+, and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+3.33+, and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+3.33+, and one P5+ atom. In the twenty-fifth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+3.33+, and one P5+ atom. In the twenty-sixth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+3.33+, and one P5+ atom. In the twenty-seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to one 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 distorted bent 150 degrees geometry to one Li1+, one V+3.33+, and one P5+ atom. In the thirtieth O2- site, O2- is bonded in a linear geometry to one Mn2+ and one P5+ atom. In the thirty-first O2- site, O2- is bonded to two Li1+, one V+3.33+, and one P5+ atom to form distorted OLi2VP trigonal pyramids that share a cornercorner with one OLi2MnP tetrahedra and an edgeedge with one OLi2VP tetrahedra. In the thirty-second O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Mn2+, and one P5+ atom. In the thirty-third O2- site, O2- is bonded to two Li1+, one Mn2+, and one P5+ atom to form distorted corner-sharing OLi2MnP tetrahedra. In the thirty-fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+3.33+, and one P5+ atom. In the thirty-fifth O2- site, O2- is bonded in a linear geometry to one Mn2+ and one P5+ atom. In the thirty-sixth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, on

36 MATERIALS SCIENCE↗

Materials Data on Li2VSi2O7 by Materials Project

Li2VSi2O7 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 four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one VO6 octahedra, a cornercorner with one VO6 pentagonal pyramid, corners with four SiO4 tetrahedra, and an edgeedge with one VO6 octahedra. The corner-sharing octahedral tilt angles are 60°. There are a spread of Li–O bond distances ranging from 1.92–2.06 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one VO6 octahedra, a cornercorner with one VO6 pentagonal pyramid, a cornercorner with one LiO4 tetrahedra, corners with four SiO4 tetrahedra, and an edgeedge with one VO6 octahedra. The corner-sharing octahedral tilt angles are 63°. There are a spread of Li–O bond distances ranging from 1.92–2.11 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one VO6 octahedra, a cornercorner with one VO6 pentagonal pyramid, a cornercorner with one LiO4 tetrahedra, corners with four SiO4 tetrahedra, and an edgeedge with one VO6 octahedra. The corner-sharing octahedral tilt angles are 66°. There are a spread of Li–O bond distances ranging from 1.92–2.11 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one VO6 octahedra, a cornercorner with one VO6 pentagonal pyramid, corners with two LiO4 tetrahedra, corners with four SiO4 tetrahedra, and an edgeedge with one VO6 octahedra. The corner-sharing octahedral tilt angles are 67°. There are a spread of Li–O bond distances ranging from 1.93–2.06 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one VO6 octahedra, a cornercorner with one VO6 pentagonal pyramid, corners with four SiO4 tetrahedra, and an edgeedge with one VO6 octahedra. The corner-sharing octahedral tilt angles are 61°. There are a spread of Li–O bond distances ranging from 1.96–2.15 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one VO6 octahedra, a cornercorner with one VO6 pentagonal pyramid, a cornercorner with one LiO4 tetrahedra, corners with four SiO4 tetrahedra, and an edgeedge with one VO6 octahedra. The corner-sharing octahedral tilt angles are 68°. There are a spread of Li–O bond distances ranging from 1.93–2.28 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 2.16–2.40 Å. In the eighth Li1+ site, Li1+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.85 Å) and two longer (1.86 Å) Li–O bond length. In the ninth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.05–2.87 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 2.18–2.78 Å. In the eleventh Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one VO6 octahedra, a cornercorner with one VO6 pentagonal pyramid, a cornercorner with one LiO4 tetrahedra, corners with four SiO4 tetrahedra, and an edgeedge with one VO6 octahedra. The corner-sharing octahedral tilt angles are 63°. There are a spread of Li–O bond distances ranging from 1.94–2.24 Å. In the twelfth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one VO6 octahedra, a cornercorner with one VO6 pentagonal pyramid, corners with two LiO4 tetrahedra, corners with four SiO4 tetrahedra, and an edgeedge with one VO6 octahedra. The corner-sharing octahedral tilt angles are 68°. There are a spread of Li–O bond distances ranging from 1.97–2.15 Å. There are six inequivalent V4+ sites. In the first V4+ site, V4+ is bonded to six O2- atoms to form distorted VO6 pentagonal pyramids that share corners with four LiO4 tetrahedra and corners with six SiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.86–2.10 Å. In the second V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with three LiO4 tetrahedra, corners with six SiO4 tetrahedra, and an edgeedge with one LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.85–2.17 Å. In the third V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share a cornercorner with one LiO4 tetrahedra, corners with six SiO4 tetrahedra, and edges with three LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.93–2.07 Å. In the fourth V4+ site, V4+ is bonded to six O2- atoms to form distorted VO6 pentagonal pyramids that share corners with four LiO4 tetrahedra and corners with six SiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.84–2.18 Å. In the fifth V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with three LiO4 tetrahedra, corners with six SiO4 tetrahedra, and an edgeedge with one LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.86–2.11 Å. In the sixth V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share a cornercorner with one LiO4 tetrahedra, corners with six SiO4 tetrahedra, and edges with three LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.90–2.04 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 VO6 octahedra, a cornercorner with one VO6 pentagonal pyramid, a cornercorner with one SiO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 36–45°. There is three shorter (1.64 Å) and one longer (1.65 Å) Si–O bond length. In the second Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one VO6 pentagonal pyramid, a cornercorner with one SiO4 tetrahedra, and corners with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 43–44°. There are a spread of Si–O bond distances ranging from 1.64–1.66 Å. In the third Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one VO6 pentagonal pyramid, a cornercorner with one SiO4 tetrahedra, and corners with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 43–47°. There are a spread of Si–O bond distances ranging from 1.63–1.66 Å. In the fourth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one VO6 pentagonal pyramid, a cornercorner with one SiO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 43–47°. There are a spread of Si–O bond distances ranging from 1.63–1.66 Å. In the fifth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one VO6 pentagonal pyramid, a cornercorner with one SiO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 34–37°. There are a spread of Si–O bond distances ranging from 1.62–1.66 Å. In the sixth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one VO6 pentagonal pyramid, a cornercorner with one SiO4 tetrahedra, and corners with four LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 43–45°. 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 two VO6 octahedra, a cornercorner with one VO6 pentagonal pyramid, a cornercorner with one SiO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 38–43°. There are a spread of Si–O bond distances ranging from 1.61–1.67 Å. In the eighth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one VO6 pentagonal pyramid, a cornercorner with one SiO4 tetrahedra, and corners with three LiO4 tetrahedra. The corner-sharing octahedral tilt angles are 44°. There are a spread of Si–O bond distances ranging from 1.62–1.67 Å. In the ninth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one VO6 pentagonal pyramid, a cornercorner with one SiO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 33–36°. There are a spread of Si–O bond distances ranging from 1.62–1.66 Å. In the tenth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one VO6 pentagonal pyramid, a cornercorner with one SiO4 tetrahedra, and corners with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 40–46°. There are a spread of Si–O bond distances ranging from 1.62–1.67 Å. In the eleventh Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one VO6 pentagonal pyramid, a cornercorner with one SiO4 tetrahedra, and corners with four LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 40–45°. There are a spread of Si–O bond distances ranging from 1.62–1.67 Å. In the twelfth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one VO6 pentagonal pyramid, a cornercorner with one SiO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 43–46°. There are a spread of Si–O bond distances ranging from 1.60–1.68 Å. There are forty-two inequivalent O2- sites. In the first O2- site, O2- is bonded to two Li1+, one V4+, and one Si4+ atom to form distorted edge-sharing OLi2VSi trigonal pyramids. In the second O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V4+, and one Si4+ atom. In the third O2- site, O2- is bonded in a bent 120 degrees geometry to two Si4+ atoms. In the fourth O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one V4+, and one Si4+ atom. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V4+, and one Si4+ atom. In the sixth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one V4+ and one Si4+ atom. In the seventh O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V4+, and one Si4+ atom. In the eighth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one V4+, and one Si4+ atom. In the ninth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Li1+, one V4+, and one Si4+ atom. In the tenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V4+, and one Si4+ atom. In the eleventh O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V4+, and one Si4+ atom. In the twelfth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V4+, and one Si4+ atom. In the thirteenth O2- site, O2- is bonded to two Li1+, one V4+, and one Si4+ atom to form distorted corner-sharing OLi2VSi tetrahedra. In the fourteenth O2- site, O2- is bonded in a bent 120 degrees geometry to two Si4+ atoms. In the fifteenth O2- site, O2- is bonded in a bent 120 degrees geometry to

36 MATERIALS SCIENCE↗

Materials Data on Li3V3P8O29 by Materials Project

Li3V3P8O29 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 1.90–2.43 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 1.93–2.33 Å. In the third Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.93–2.46 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 1.83–2.60 Å. In the fifth 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 1.89–2.29 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 1.90–2.85 Å. There are six inequivalent V5+ sites. In the first V5+ site, V5+ 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 1.85–1.95 Å. In the second V5+ site, V5+ 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 1.85–1.95 Å. In the third V5+ site, V5+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.85–1.99 Å. In the fourth V5+ site, V5+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.83–1.96 Å. In the fifth V5+ site, V5+ 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 sixth V5+ site, V5+ 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. 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 39–46°. There are a spread of P–O bond distances ranging from 1.48–1.61 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 38–39°. There are a spread of P–O bond distances ranging from 1.48–1.62 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 36–38°. There are a spread of P–O bond distances ranging from 1.49–1.60 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 23–30°. There are a spread of P–O bond distances ranging from 1.48–1.58 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 34–36°. 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 37–38°. There are a spread of P–O bond distances ranging from 1.47–1.62 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 35–38°. There are a spread of P–O bond distances ranging from 1.48–1.61 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra 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 1.48–1.62 Å. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 38–40°. There are a spread of P–O bond distances ranging from 1.48–1.61 Å. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 33–37°. There are a spread of P–O bond distances ranging from 1.50–1.62 Å. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 38–44°. There are a spread of P–O bond distances ranging from 1.50–1.62 Å. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 30–33°. There are a spread of P–O bond distances ranging from 1.48–1.60 Å. In the thirteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 28–31°. There are a spread of P–O bond distances ranging from 1.48–1.59 Å. In the fourteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 36–39°. There are a spread of P–O bond distances ranging from 1.47–1.62 Å. In the fifteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 39–46°. There are a spread of P–O bond distances ranging from 1.48–1.62 Å. In the sixteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 36–43°. There are a spread of P–O bond distances ranging from 1.47–1.63 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 V5+ and one P5+ atom. In the third O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Li1+ and one P5+ atom. In the fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V5+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a bent 150 degrees geometry to one V5+ and one P5+ atom. In the sixth O2- site, O2- is bonded in a bent 150 degrees geometry to one V5+ and one P5+ atom. In the seventh O2- site, O2- is bonded in a bent 150 degrees geometry to one V5+ 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 bent 150 degrees geometry to one V5+ and one P5+ atom. In the tenth O2- site, O2- is bonded in a bent 150 degrees geometry to one V5+ and one P5+ atom. In the eleventh O2- site, O2- is bonded in a bent 150 degrees geometry to one V5+ and one P5+ atom. In the twelfth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V5+, and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a single-bond geometry to one P5+ atom. In the fourteenth O2- site, O2- is bonded in a single-bond geometry to one P5+ atom. In the fifteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one V5+ and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one V5+ and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V5+, and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one V5+ 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 distorted bent 120 degrees geometry to one Li1+ and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a bent 150 degrees geometry to one V5+ and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, one V5+, and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a bent 150 degrees geometry to one V5+ and one P5+ atom. In the twenty-fifth O2- site, O2- is bonded in a bent 150 degrees geometry to one V5+ and one P5+ atom. In the twenty-sixth O2- site, O2- is bonded in a bent 150 degrees geometry to one V5+ 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 bent 120 degrees geometry to one Li1+ and one P5+ atom. In the twenty-ninth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two Li1+ and one P5+ atom. In the thirtieth O2- site, O2- is bonded in a bent 150 degrees geometry to one V5+ and one P5+ atom. In the thirty-first O2- site, O2- is bonded in a bent 150 degrees geometry to one V5+ and one P5+ atom. In the thirty-second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V5+, and one P5+ atom. In the thirty-third O2- site, O2- is bonded in a bent 150 degrees geometry to one V5+ and one P5+ atom. In the thirty-fourth O2- site, O2- is bonded in a bent 150 degrees geometry to one V5+ and one P5+ atom. In the thirty-fifth O2- site, O2- is bonded in a trigonal planar geometry to two Li1+ and one P5+ atom. In the thirty-sixth O2- site, O2- is bonded in a 3-coordinate geometry to two Li1+ and one P5+ atom. In the thirty-seventh O2- site, O2- is bonded in a bent 120 degrees geometry to two P5+ atoms. In the thirty-eighth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V5+, and one P5+ atom. In the thirty-ninth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Li1+, one V5+, and one P5+ atom. In the fortieth O2- site, O2- is bonded in a bent 150 degrees geometry to one V5+ and one P5+ atom. In the forty-first O2- site, O2- is bonded in a bent 150 degrees geometry to one V5+ and one P5+ atom. In the forty-second O2- site, O2- is bonded in a single-bond geometry to one P5+ atom. In the forty-third O2- site, O2- is bonded in a single-bond geometry to one P5+ atom. In the forty-fourth O2- site, O2- is bonded in a bent 150 degrees geometry to one V5+ and one P5+ atom. In the forty-fifth O2- site, O2- is bonded in a bent 150 degrees geometry to one V5+ and one P5+ atom. In the forty-sixth O2- site, O2- is bonded in a bent 150 degrees geometry to one V5+ and one P5+ atom. In the forty-seventh O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one V5+ and one P5+ atom. In the forty-eighth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two P5+ atoms. In the forty-ninth O2- site, O2- is bonded in a bent 150 degrees geometry to one Li1+ and one P5+ atom. In the fiftieth O2- site, O2- is bonded in a bent 150 degrees geometry to one V5+ and one P5+ atom. In the fifty-first O2- site, O2-

36 MATERIALS SCIENCE↗

Materials Data on Li3V3P8O29 by Materials Project

Li3V3P8O29 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 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 1.97–2.30 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 1.95–2.31 Å. In the third Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.95–2.32 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 1.97–2.29 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 1.94–2.77 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 1.94–2.78 Å. There are six inequivalent V5+ sites. In the first V5+ site, V5+ 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 1.86–1.90 Å. In the second V5+ site, V5+ 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 V5+ site, V5+ 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 1.84–1.94 Å. In the fourth V5+ site, V5+ 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 1.86–1.90 Å. In the fifth V5+ site, V5+ 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 sixth V5+ site, V5+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and edges with two LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.86–2.00 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 38–41°. There are a spread of P–O bond distances ranging from 1.48–1.62 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 37–39°. There are a spread of P–O bond distances ranging from 1.47–1.62 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 37–38°. 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. The corner-sharing octahedra tilt angles range from 27–30°. There are a spread of P–O bond distances ranging from 1.48–1.59 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra and a cornercorner with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 30–36°. There are a spread of P–O bond distances ranging from 1.49–1.59 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 37–43°. There are a spread of P–O bond distances ranging from 1.49–1.61 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 37–38°. There are a spread of P–O bond distances ranging from 1.49–1.61 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 37–38°. 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 36–38°. There are a spread of P–O bond distances ranging from 1.49–1.60 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 octahedral tilt angles are 37°. There are a spread of P–O bond distances ranging from 1.49–1.60 Å. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 34–37°. There are a spread of P–O bond distances ranging from 1.47–1.62 Å. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 29–31°. There are a spread of P–O bond distances ranging from 1.52–1.56 Å. In the thirteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra and a cornercorner with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 30–36°. There are a spread of P–O bond distances ranging from 1.49–1.60 Å. In the fourteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 37–41°. There are a spread of P–O bond distances ranging from 1.48–1.60 Å. In the fifteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 37–44°. There are a spread of P–O bond distances ranging from 1.49–1.61 Å. In the sixteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 36–37°. There are a spread of P–O bond distances ranging from 1.49–1.62 Å. There are fifty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a bent 150 degrees geometry to one Li1+ and one P5+ atom. In the second O2- site, O2- is bonded in a bent 150 degrees geometry to one V5+ and one P5+ atom. In the third O2- site, O2- is bonded in a 3-coordinate geometry to two Li1+ and one P5+ atom. In the fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V5+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a bent 150 degrees geometry to one V5+ and one P5+ atom. In the sixth O2- site, O2- is bonded in a bent 150 degrees geometry to one V5+ and one P5+ atom. In the seventh O2- site, O2- is bonded in a bent 150 degrees geometry to one V5+ 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 distorted trigonal planar geometry to one Li1+, one V5+, and one P5+ atom. In the tenth O2- site, O2- is bonded in a bent 150 degrees geometry to one V5+ and one P5+ atom. In the eleventh O2- site, O2- is bonded in a bent 150 degrees geometry to one V5+ and one P5+ atom. In the twelfth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V5+, and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a single-bond geometry to one P5+ atom. In the fourteenth O2- site, O2- is bonded in a single-bond geometry to one P5+ atom. In the fifteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one V5+ and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one V5+ and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a bent 150 degrees geometry to one V5+ and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one V5+ and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two P5+ atoms. In the twentieth O2- site, O2- is bonded in a 3-coordinate geometry to two Li1+ and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a distorted bent 120 degrees 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 V5+ and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V5+, and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a bent 150 degrees geometry to one V5+ and one P5+ atom. In the twenty-fifth O2- site, O2- is bonded in a bent 150 degrees geometry to one V5+ and one P5+ atom. In the twenty-sixth O2- site, O2- is bonded in a bent 150 degrees geometry to one V5+ 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 bent 150 degrees geometry to one Li1+ and one P5+ atom. In the twenty-ninth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two Li1+ and one P5+ atom. In the thirtieth O2- site, O2- is bonded in a bent 150 degrees geometry to one V5+ and one P5+ atom. In the thirty-first O2- site, O2- is bonded in a bent 150 degrees geometry to one V5+ and one P5+ atom. In the thirty-second O2- site, O2- is bonded in a bent 150 degrees geometry to one V5+ and one P5+ atom. In the thirty-third O2- site, O2- is bonded in a bent 150 degrees geometry to one V5+ and one P5+ atom. In the thirty-fourth O2- site, O2- is bonded in a bent 150 degrees geometry to one V5+ and one P5+ atom. In the thirty-fifth O2- site, O2- is bonded in a distorted bent 150 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 V5+, and one P5+ atom. In the thirty-ninth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V5+, and one P5+ atom. In the fortieth O2- site, O2- is bonded in a bent 150 degrees geometry to one V5+ and one P5+ atom. In the forty-first O2- site, O2- is bonded in a bent 150 degrees geometry to one V5+ and one P5+ atom. In the forty-second O2- site, O2- is bonded in a single-bond geometry to one P5+ atom. In the forty-third O2- site, O2- is bonded in a single-bond geometry to one P5+ atom. In the forty-fourth O2- site, O2- is bonded in a bent 150 degrees geometry to one V5+ and one P5+ atom. In the forty-fifth O2- site, O2- is bonded in a bent 150 degrees geometry to one V5+

36 MATERIALS SCIENCE↗

Materials Data on Li3ZnFe2(PO4)3 by Materials Project

Li3Fe2Zn(PO4)3 is Ilmenite-derived structured and 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 LiO6 octahedra that share a cornercorner with one ZnO6 octahedra, corners with three FeO6 octahedra, corners with two PO4 tetrahedra, an edgeedge with one FeO6 octahedra, an edgeedge with one ZnO6 octahedra, edges with two LiO6 octahedra, and edges with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 57–68°. There are a spread of Li–O bond distances ranging from 2.09–2.19 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with four FeO6 octahedra, corners with two PO4 tetrahedra, an edgeedge with one FeO6 octahedra, an edgeedge with one ZnO6 octahedra, edges with two LiO6 octahedra, and edges with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 58–68°. There are a spread of Li–O bond distances ranging from 2.10–2.20 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one ZnO6 octahedra, corners with three FeO6 octahedra, corners with two PO4 tetrahedra, an edgeedge with one FeO6 octahedra, an edgeedge with one ZnO6 octahedra, edges with two LiO6 octahedra, and edges with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 57–68°. There are a spread of Li–O bond distances ranging from 2.10–2.20 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two FeO6 octahedra, corners with two ZnO6 octahedra, corners with two PO4 tetrahedra, edges with two LiO6 octahedra, edges with two FeO6 octahedra, and edges with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 57–68°. There are a spread of Li–O bond distances ranging from 2.10–2.19 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two FeO6 octahedra, corners with two ZnO6 octahedra, corners with two PO4 tetrahedra, an edgeedge with one FeO6 octahedra, an edgeedge with one ZnO6 octahedra, edges with two LiO6 octahedra, and edges with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 57–68°. There are a spread of Li–O bond distances ranging from 2.10–2.19 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two FeO6 octahedra, corners with two ZnO6 octahedra, corners with two PO4 tetrahedra, edges with two LiO6 octahedra, edges with two FeO6 octahedra, and edges with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 58–68°. There are a spread of Li–O bond distances ranging from 2.10–2.19 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with four FeO6 octahedra, corners with two PO4 tetrahedra, an edgeedge with one FeO6 octahedra, an edgeedge with one ZnO6 octahedra, edges with two LiO6 octahedra, and edges with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 58–69°. There are a spread of Li–O bond distances ranging from 2.10–2.20 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one ZnO6 octahedra, corners with three FeO6 octahedra, corners with two PO4 tetrahedra, an edgeedge with one FeO6 octahedra, an edgeedge with one ZnO6 octahedra, edges with two LiO6 octahedra, and edges with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 57–68°. There are a spread of Li–O bond distances ranging from 2.10–2.20 Å. In the ninth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one ZnO6 octahedra, corners with three FeO6 octahedra, corners with two PO4 tetrahedra, an edgeedge with one FeO6 octahedra, an edgeedge with one ZnO6 octahedra, edges with two LiO6 octahedra, and edges with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 58–68°. There are a spread of Li–O bond distances ranging from 2.09–2.20 Å. In the tenth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two FeO6 octahedra, corners with two ZnO6 octahedra, corners with two PO4 tetrahedra, edges with two LiO6 octahedra, edges with two FeO6 octahedra, and edges with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 57–68°. There are a spread of Li–O bond distances ranging from 2.10–2.19 Å. In the eleventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two FeO6 octahedra, corners with two ZnO6 octahedra, corners with two PO4 tetrahedra, edges with two LiO6 octahedra, edges with two FeO6 octahedra, and edges with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 57–68°. There are a spread of Li–O bond distances ranging from 2.10–2.19 Å. In the twelfth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two FeO6 octahedra, corners with two ZnO6 octahedra, corners with two PO4 tetrahedra, an edgeedge with one FeO6 octahedra, an edgeedge with one ZnO6 octahedra, edges with two LiO6 octahedra, and edges with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 57–68°. There are a spread of Li–O bond distances ranging from 2.09–2.20 Å. There are eight inequivalent Fe2+ sites. In the first Fe2+ site, Fe2+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with four LiO6 octahedra, corners with four FeO6 octahedra, corners with four PO4 tetrahedra, edges with two LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–68°. There are a spread of Fe–O bond distances ranging from 2.09–2.27 Å. In the second Fe2+ site, Fe2+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with four LiO6 octahedra, corners with four FeO6 octahedra, corners with four PO4 tetrahedra, edges with two LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–69°. There are a spread of Fe–O bond distances ranging from 2.10–2.27 Å. In the third Fe2+ site, Fe2+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two FeO6 octahedra, corners with two equivalent ZnO6 octahedra, corners with four LiO6 octahedra, corners with four PO4 tetrahedra, edges with two LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 52–68°. There are a spread of Fe–O bond distances ranging from 2.10–2.27 Å. In the fourth Fe2+ site, Fe2+ is bonded to six O2- atoms to form FeO6 octahedra that share a cornercorner with one ZnO6 octahedra, corners with three FeO6 octahedra, corners with four LiO6 octahedra, corners with four PO4 tetrahedra, edges with two LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–68°. There are a spread of Fe–O bond distances ranging from 2.09–2.27 Å. In the fifth Fe2+ site, Fe2+ is bonded to six O2- atoms to form FeO6 octahedra that share a cornercorner with one ZnO6 octahedra, corners with three FeO6 octahedra, corners with four LiO6 octahedra, corners with four PO4 tetrahedra, edges with two LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 52–68°. There are a spread of Fe–O bond distances ranging from 2.09–2.27 Å. In the sixth Fe2+ site, Fe2+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with four LiO6 octahedra, corners with four ZnO6 octahedra, corners with four PO4 tetrahedra, edges with two LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 52–68°. There are a spread of Fe–O bond distances ranging from 2.09–2.26 Å. In the seventh Fe2+ site, Fe2+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with four LiO6 octahedra, corners with four ZnO6 octahedra, corners with four PO4 tetrahedra, edges with two LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 52–68°. There are a spread of Fe–O bond distances ranging from 2.10–2.27 Å. In the eighth Fe2+ site, Fe2+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with four LiO6 octahedra, corners with four ZnO6 octahedra, corners with four PO4 tetrahedra, edges with two LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 52–68°. There are a spread of Fe–O bond distances ranging from 2.09–2.27 Å. There are four inequivalent Zn2+ sites. In the first Zn2+ site, Zn2+ is bonded to six O2- atoms to form ZnO6 octahedra that share corners with four LiO6 octahedra, corners with four FeO6 octahedra, corners with four PO4 tetrahedra, edges with two LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 52–68°. There are a spread of Zn–O bond distances ranging from 2.09–2.25 Å. In the second Zn2+ site, Zn2+ is bonded to six O2- atoms to form ZnO6 octahedra that share corners with four LiO6 octahedra, corners with four FeO6 octahedra, corners with four PO4 tetrahedra, edges with two LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 52–68°. There are a spread of Zn–O bond distances ranging from 2.09–2.26 Å. In the third Zn2+ site, Zn2+ is bonded to six O2- atoms to form ZnO6 octahedra that share corners with four LiO6 octahedra, corners with four FeO6 octahedra, corners with four PO4 tetrahedra, edges with two LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 52–68°. There are a spread of Zn–O bond distances ranging from 2.09–2.26 Å. In the fourth Zn2+ site, Zn2+ is bonded to six O2- atoms to form ZnO6 octahedra that share corners with four LiO6 octahedra, corners with four FeO6 octahedra, corners with four PO4 tetrahedra, edges with two LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 52–68°. There are a spread of Zn–O bond distances ranging from 2.08–2.26 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 ZnO6 octahedra, corners with two LiO6 octahedra, corners with three FeO6 octahedra, an edgeedge with one ZnO6 octahedra, and edges with two LiO6 octahedra. The corner-sharing octahedra tilt angles range from 51–58°. 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 corners with two LiO6 octahedra, corners with two FeO6 octahedra, corners with two ZnO6 octahedra, an edgeedge with one ZnO6 octahedra, and edges with two LiO6 octahedra. The corner-sharing octahedra tilt angles range from 51–58°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one ZnO6 octahedra, corners with two LiO6 octahedra, corners with three FeO6 octahedra, an edgeedge with one ZnO6 octahedra, and edges with two LiO6 octahedra. The corner-sharing octahedra tilt angles range from 51–58°. 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 ZnO6 octahedra, corners with two LiO6 octahedra, corners with three FeO6 octahedra, an edgeedge with one FeO6 octahedra, and edges with two LiO6 octahedra. The corner-sharing octahedra tilt angles range from 51–59°. There are a spread of P

36 MATERIALS SCIENCE↗

Materials Data on In4Bi3S10 by Materials Project

Bi3In4S10 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are sixteen inequivalent In+2.75+ sites. In the first In+2.75+ site, In+2.75+ is bonded to six S2- atoms to form InS6 octahedra that share corners with three InS6 octahedra, edges with four InS6 octahedra, and edges with two BiS7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 55–58°. There are a spread of In–S bond distances ranging from 2.54–2.75 Å. In the second In+2.75+ site, In+2.75+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing InS6 octahedra. The corner-sharing octahedra tilt angles range from 4–58°. There are a spread of In–S bond distances ranging from 2.60–2.85 Å. In the third In+2.75+ site, In+2.75+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing InS6 octahedra. The corner-sharing octahedra tilt angles range from 3–57°. There are a spread of In–S bond distances ranging from 2.60–2.81 Å. In the fourth In+2.75+ site, In+2.75+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing InS6 octahedra. The corner-sharing octahedral tilt angles are 4°. There are a spread of In–S bond distances ranging from 2.56–2.75 Å. In the fifth In+2.75+ site, In+2.75+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing InS6 octahedra. The corner-sharing octahedral tilt angles are 3°. There are a spread of In–S bond distances ranging from 2.58–2.72 Å. In the sixth In+2.75+ site, In+2.75+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing InS6 octahedra. The corner-sharing octahedra tilt angles range from 3–57°. There are a spread of In–S bond distances ranging from 2.60–2.82 Å. In the seventh In+2.75+ site, In+2.75+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing InS6 octahedra. The corner-sharing octahedral tilt angles are 1°. There are a spread of In–S bond distances ranging from 2.57–2.75 Å. In the eighth In+2.75+ site, In+2.75+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing InS6 octahedra. The corner-sharing octahedra tilt angles range from 1–58°. There are a spread of In–S bond distances ranging from 2.61–2.85 Å. In the ninth In+2.75+ site, In+2.75+ is bonded to six S2- atoms to form InS6 octahedra that share corners with two InS6 octahedra, corners with two BiS7 pentagonal bipyramids, and edges with six InS6 octahedra. The corner-sharing octahedra tilt angles range from 55–56°. There are a spread of In–S bond distances ranging from 2.62–2.69 Å. In the tenth In+2.75+ site, In+2.75+ is bonded to six S2- atoms to form InS6 octahedra that share corners with three InS6 octahedra, edges with four InS6 octahedra, and edges with two BiS7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 56–57°. There are a spread of In–S bond distances ranging from 2.55–2.74 Å. In the eleventh In+2.75+ site, In+2.75+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing InS6 octahedra. The corner-sharing octahedral tilt angles are 3°. There are a spread of In–S bond distances ranging from 2.58–2.80 Å. In the twelfth In+2.75+ site, In+2.75+ is bonded to six S2- atoms to form InS6 octahedra that share corners with two InS6 octahedra, corners with two BiS7 pentagonal bipyramids, and edges with six InS6 octahedra. The corner-sharing octahedra tilt angles range from 55–56°. There are a spread of In–S bond distances ranging from 2.62–2.68 Å. In the thirteenth In+2.75+ site, In+2.75+ is bonded to six S2- atoms to form InS6 octahedra that share corners with two InS6 octahedra, corners with two equivalent BiS7 pentagonal bipyramids, edges with six InS6 octahedra, and an edgeedge with one BiS7 pentagonal bipyramid. The corner-sharing octahedra tilt angles range from 55–56°. There are a spread of In–S bond distances ranging from 2.61–2.69 Å. In the fourteenth In+2.75+ site, In+2.75+ is bonded to six S2- atoms to form InS6 octahedra that share corners with two InS6 octahedra, corners with two equivalent BiS7 pentagonal bipyramids, edges with six InS6 octahedra, and an edgeedge with one BiS7 pentagonal bipyramid. The corner-sharing octahedra tilt angles range from 55–56°. There are a spread of In–S bond distances ranging from 2.62–2.69 Å. In the fifteenth In+2.75+ site, In+2.75+ is bonded to six S2- atoms to form InS6 octahedra that share corners with three InS6 octahedra, corners with two equivalent BiS7 pentagonal bipyramids, edges with four InS6 octahedra, and an edgeedge with one BiS7 pentagonal bipyramid. The corner-sharing octahedra tilt angles range from 55–58°. There are a spread of In–S bond distances ranging from 2.55–2.75 Å. In the sixteenth In+2.75+ site, In+2.75+ is bonded to six S2- atoms to form InS6 octahedra that share corners with three InS6 octahedra, corners with two equivalent BiS7 pentagonal bipyramids, edges with four InS6 octahedra, and an edgeedge with one BiS7 pentagonal bipyramid. The corner-sharing octahedra tilt angles range from 56–57°. There are a spread of In–S bond distances ranging from 2.55–2.74 Å. There are twelve inequivalent Bi3+ sites. In the first Bi3+ site, Bi3+ is bonded in a 2-coordinate geometry to five S2- atoms. There are a spread of Bi–S bond distances ranging from 2.63–3.41 Å. In the second Bi3+ site, Bi3+ is bonded in a 2-coordinate geometry to five S2- atoms. There are a spread of Bi–S bond distances ranging from 2.61–3.41 Å. In the third Bi3+ site, Bi3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Bi–S bond distances ranging from 2.67–3.30 Å. In the fourth Bi3+ site, Bi3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Bi–S bond distances ranging from 2.68–3.40 Å. In the fifth Bi3+ site, Bi3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Bi–S bond distances ranging from 2.67–3.28 Å. In the sixth Bi3+ site, Bi3+ is bonded to seven S2- atoms to form distorted BiS7 pentagonal bipyramids that share corners with six InS6 octahedra, edges with four InS6 octahedra, and faces with two equivalent BiS7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 12–60°. There are a spread of Bi–S bond distances ranging from 2.71–3.27 Å. In the seventh Bi3+ site, Bi3+ is bonded to seven S2- atoms to form distorted BiS7 pentagonal bipyramids that share corners with six InS6 octahedra, edges with four InS6 octahedra, and faces with two equivalent BiS7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 12–60°. There are a spread of Bi–S bond distances ranging from 2.71–3.27 Å. In the eighth Bi3+ site, Bi3+ is bonded in a 7-coordinate geometry to seven S2- atoms. There are a spread of Bi–S bond distances ranging from 2.70–3.27 Å. In the ninth Bi3+ site, Bi3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Bi–S bond distances ranging from 2.68–3.42 Å. In the tenth Bi3+ site, Bi3+ is bonded in a 7-coordinate geometry to seven S2- atoms. There are a spread of Bi–S bond distances ranging from 2.70–3.30 Å. In the eleventh Bi3+ site, Bi3+ is bonded in a 5-coordinate geometry to five S2- atoms. There are a spread of Bi–S bond distances ranging from 2.64–3.38 Å. In the twelfth Bi3+ site, Bi3+ is bonded in a 2-coordinate geometry to four S2- atoms. There are a spread of Bi–S bond distances ranging from 2.60–3.32 Å. There are forty inequivalent S2- sites. In the first S2- site, S2- is bonded in a rectangular see-saw-like geometry to four In+2.75+ atoms. In the second S2- site, S2- is bonded in a 3-coordinate geometry to two In+2.75+ and two Bi3+ atoms. In the third S2- site, S2- is bonded in a 3-coordinate geometry to five Bi3+ atoms. In the fourth S2- site, S2- is bonded in a 4-coordinate geometry to three In+2.75+ and one Bi3+ atom. In the fifth S2- site, S2- is bonded in a rectangular see-saw-like geometry to four In+2.75+ atoms. In the sixth S2- site, S2- is bonded in a rectangular see-saw-like geometry to four In+2.75+ atoms. In the seventh S2- site, S2- is bonded in a 4-coordinate geometry to three In+2.75+ atoms. In the eighth S2- site, S2- is bonded in a 5-coordinate geometry to three In+2.75+ and two Bi3+ atoms. In the ninth S2- site, S2- is bonded in a distorted trigonal non-coplanar geometry to three Bi3+ atoms. In the tenth S2- site, S2- is bonded in a 3-coordinate geometry to three In+2.75+ and two Bi3+ atoms. In the eleventh S2- site, S2- is bonded in a rectangular see-saw-like geometry to four In+2.75+ atoms. In the twelfth S2- site, S2- is bonded in a 5-coordinate geometry to two In+2.75+ and three Bi3+ atoms. In the thirteenth S2- site, S2- is bonded in a 5-coordinate geometry to two In+2.75+ and three Bi3+ atoms. In the fourteenth S2- site, S2- is bonded in a 5-coordinate geometry to two In+2.75+ and three Bi3+ atoms. In the fifteenth S2- site, S2- is bonded in a 5-coordinate geometry to five Bi3+ atoms. In the sixteenth S2- site, S2- is bonded in a distorted trigonal non-coplanar geometry to three Bi3+ atoms. In the seventeenth S2- site, S2- is bonded to three In+2.75+ and two Bi3+ atoms to form distorted edge-sharing SIn3Bi2 square pyramids. In the eighteenth S2- site, S2- is bonded to four In+2.75+ and two Bi3+ atoms to form distorted edge-sharing SIn4Bi2 octahedra. In the nineteenth S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to four In+2.75+ atoms. In the twentieth S2- site, S2- is bonded in a distorted trigonal non-coplanar geometry to three Bi3+ atoms. In the twenty-first S2- site, S2- is bonded in a 3-coordinate geometry to three In+2.75+ and two Bi3+ atoms. In the twenty-second S2- site, S2- is bonded in a 4-coordinate geometry to three In+2.75+ and one Bi3+ atom. In the twenty-third S2- site, S2- is bonded in a 4-coordinate geometry to three In+2.75+ and one Bi3+ atom. In the twenty-fourth S2- site, S2- is bonded in a 5-coordinate geometry to three In+2.75+ and two Bi3+ atoms. In the twenty-fifth S2- site, S2- is bonded in a rectangular see-saw-like geometry to four In+2.75+ atoms. In the twenty-sixth S2- site, S2- is bonded to three In+2.75+ and two Bi3+ atoms to form distorted edge-sharing SIn3Bi2 square pyramids. In the twenty-seventh S2- site, S2- is bonded to three In+2.75+ and two Bi3+ atoms to form distorted edge-sharing SIn3Bi2 square pyramids. In the twenty-eighth S2- site, S2- is bonded in a 5-coordinate geometry to two In+2.75+ and three Bi3+ atoms. In the twenty-ninth S2- site, S2- is bonded in a trigonal non-coplanar geometry to three Bi3+ atoms. In the thirtieth S2- site, S2- is bonded in a 3-coordinate geometry to two In+2.75+ and two Bi3+ atoms. In the thirty-first S2- site, S2- is bonded in a 3-coordinate geometry to two In+2.75+ and two Bi3+ atoms. In the thirty-second S2- site, S2- is bonded in a 3-coordinate geometry to two In+2.75+ and two Bi3+ atoms. In the thirty-third S2- site, S2- is bonded in a 3-coordinate geometry to three In+2.75+ and two Bi3+ atoms. In the thirty-fourth S2- site, S2- is bonded in a 3-coordinate geometry to three In+2.75+ and two Bi3+ atoms. In the thirty-fifth S2- site, S2- is bonded in a trigonal non-coplanar geometry to three Bi3+ atoms. In the thirty-sixth S2- site, S2- is bonded in a trigonal non-coplanar geometry to three Bi3+ atoms. In the thirty-seventh S2- site, S2- is bonded to four In+2.75+ and two Bi3+ atoms to form distorted edge-sharing SIn4Bi2 octahedra. In the thirty-eighth S2- site, S2- is bonded to three In+2.75+ and two Bi3+ atoms to form distorted edge-sharing SIn3Bi2 square pyramids. In the thirty-ninth S2- site, S2- is bonded in a 5-coordinate geometry to three In+2.75+ and two Bi3+ atoms. In the fortieth S2- site, S2- is bonded in a 5-coordinate geometry to three In+2.75+ and two Bi3+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Mg16Al12Au by Materials Project

Mg16AuAl12 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are sixteen inequivalent Mg sites. In the first Mg site, Mg is bonded in a 9-coordinate geometry to four Mg and twelve Al atoms. There are a spread of Mg–Mg bond distances ranging from 3.13–3.28 Å. There are a spread of Mg–Al bond distances ranging from 3.08–3.29 Å. In the second Mg site, Mg is bonded in a 12-coordinate geometry to seven Mg and five Al atoms. There are a spread of Mg–Mg bond distances ranging from 3.04–3.13 Å. There are a spread of Mg–Al bond distances ranging from 2.95–3.14 Å. In the third Mg site, Mg is bonded in a 1-coordinate geometry to five Mg, one Au, and six Al atoms. There are a spread of Mg–Mg bond distances ranging from 3.08–3.22 Å. The Mg–Au bond length is 3.03 Å. There are a spread of Mg–Al bond distances ranging from 3.00–3.35 Å. In the fourth Mg site, Mg is bonded in a 1-coordinate geometry to four Mg, one Au, and six Al atoms. There are one shorter (3.03 Å) and one longer (3.04 Å) Mg–Mg bond lengths. The Mg–Au bond length is 3.01 Å. There are a spread of Mg–Al bond distances ranging from 3.03–3.10 Å. In the fifth Mg site, Mg is bonded in a 12-coordinate geometry to four Mg, one Au, and five Al atoms. There are a spread of Mg–Mg bond distances ranging from 3.05–3.28 Å. The Mg–Au bond length is 3.18 Å. There are a spread of Mg–Al bond distances ranging from 2.85–3.10 Å. In the sixth Mg site, Mg is bonded in a 12-coordinate geometry to seven Mg and five Al atoms. There are a spread of Mg–Mg bond distances ranging from 3.10–3.14 Å. There are a spread of Mg–Al bond distances ranging from 2.88–3.26 Å. In the seventh Mg site, Mg is bonded in a 1-coordinate geometry to four Mg, one Au, and four Al atoms. There are a spread of Mg–Mg bond distances ranging from 3.09–3.16 Å. The Mg–Au bond length is 2.84 Å. There are a spread of Mg–Al bond distances ranging from 2.88–3.22 Å. In the eighth Mg site, Mg is bonded in a 10-coordinate geometry to four Mg and six Al atoms. There are one shorter (3.05 Å) and one longer (3.06 Å) Mg–Mg bond lengths. There are a spread of Mg–Al bond distances ranging from 3.05–3.15 Å. In the ninth Mg site, Mg is bonded in a 5-coordinate geometry to seven Mg, one Au, and five Al atoms. There are a spread of Mg–Mg bond distances ranging from 3.06–3.20 Å. The Mg–Au bond length is 3.14 Å. There are a spread of Mg–Al bond distances ranging from 2.89–3.23 Å. In the tenth Mg site, Mg is bonded in a 12-coordinate geometry to four Mg and five Al atoms. Both Mg–Mg bond lengths are 3.18 Å. There are a spread of Mg–Al bond distances ranging from 2.89–3.07 Å. In the eleventh Mg site, Mg is bonded in a 12-coordinate geometry to five Mg and five Al atoms. The Mg–Mg bond length is 3.08 Å. There are a spread of Mg–Al bond distances ranging from 2.91–3.12 Å. In the twelfth Mg site, Mg is bonded in a 4-coordinate geometry to seven Mg, one Au, and five Al atoms. There are a spread of Mg–Mg bond distances ranging from 3.05–3.13 Å. The Mg–Au bond length is 3.10 Å. There are a spread of Mg–Al bond distances ranging from 2.87–3.25 Å. In the thirteenth Mg site, Mg is bonded in a 10-coordinate geometry to two Mg and seven Al atoms. There are a spread of Mg–Al bond distances ranging from 3.05–3.37 Å. In the fourteenth Mg site, Mg is bonded in a 1-coordinate geometry to four Mg, one Au, and five Al atoms. The Mg–Au bond length is 2.87 Å. There are a spread of Mg–Al bond distances ranging from 2.86–3.20 Å. In the fifteenth Mg site, Mg is bonded in a 12-coordinate geometry to seven Mg and five Al atoms. The Mg–Mg bond length is 3.28 Å. There are a spread of Mg–Al bond distances ranging from 2.88–3.26 Å. In the sixteenth Mg site, Mg is bonded in a 12-coordinate geometry to three Mg, one Au, and five Al atoms. The Mg–Au bond length is 3.18 Å. There are a spread of Mg–Al bond distances ranging from 2.85–3.08 Å. Au is bonded in a 11-coordinate geometry to eight Mg and three Al atoms. There are a spread of Au–Al bond distances ranging from 2.70–2.75 Å. There are twelve inequivalent Al sites. In the first Al site, Al is bonded in a 1-coordinate geometry to seven Mg, one Au, and three Al atoms. There are a spread of Al–Al bond distances ranging from 2.69–2.76 Å. In the second Al site, Al is bonded in a 11-coordinate geometry to eight Mg and three Al atoms. There are one shorter (2.72 Å) and one longer (2.77 Å) Al–Al bond lengths. In the third Al site, Al is bonded in a 10-coordinate geometry to seven Mg and three Al atoms. There are a spread of Al–Al bond distances ranging from 2.68–2.73 Å. In the fourth Al site, Al is bonded in a 11-coordinate geometry to eight Mg and three Al atoms. There are one shorter (2.66 Å) and one longer (2.70 Å) Al–Al bond lengths. In the fifth Al site, Al is bonded in a 1-coordinate geometry to six Mg, one Au, and three Al atoms. There are one shorter (2.70 Å) and one longer (2.75 Å) Al–Al bond lengths. In the sixth Al site, Al is bonded in a 12-coordinate geometry to nine Mg and three Al atoms. The Al–Al bond length is 2.75 Å. In the seventh Al site, Al is bonded in a 11-coordinate geometry to eight Mg and three Al atoms. In the eighth Al site, Al is bonded in a 11-coordinate geometry to eight Mg and three Al atoms. There are a spread of Al–Al bond distances ranging from 2.69–2.76 Å. In the ninth Al site, Al is bonded in a 11-coordinate geometry to eight Mg and three Al atoms. There are one shorter (2.68 Å) and one longer (2.71 Å) Al–Al bond lengths. In the tenth Al site, Al is bonded in a 1-coordinate geometry to seven Mg, one Au, and three Al atoms. In the eleventh Al site, Al is bonded in a 11-coordinate geometry to eight Mg and three Al atoms. In the twelfth Al site, Al is bonded in a 10-coordinate geometry to seven Mg and three Al atoms.

36 MATERIALS SCIENCE↗

Materials Data on Li9Cr12Fe7O48 by Materials Project

Li9Cr12Fe7O48 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are nine inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six CrO4 tetrahedra and faces with two equivalent FeO6 octahedra. There are a spread of Li–O bond distances ranging from 2.13–2.26 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one FeO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, corners with six CrO4 tetrahedra, and edges with two equivalent FeO6 octahedra. The corner-sharing octahedral tilt angles are 61°. There are a spread of Li–O bond distances ranging from 2.04–2.28 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one FeO6 pentagonal pyramid, corners with six CrO4 tetrahedra, and edges with two equivalent FeO6 octahedra. The corner-sharing octahedral tilt angles are 67°. There are a spread of Li–O bond distances ranging from 2.09–2.26 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one FeO6 pentagonal pyramid, corners with six CrO4 tetrahedra, and edges with two equivalent FeO6 octahedra. The corner-sharing octahedral tilt angles are 67°. There are a spread of Li–O bond distances ranging from 2.09–2.25 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 pentagonal pyramids that share a cornercorner with one LiO6 octahedra, a cornercorner with one FeO6 octahedra, corners with six CrO4 tetrahedra, and edges with two equivalent LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 63–70°. There are a spread of Li–O bond distances ranging from 2.11–2.41 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 pentagonal pyramids that share a cornercorner with one LiO6 octahedra, a cornercorner with one FeO6 octahedra, corners with six CrO4 tetrahedra, and edges with two equivalent FeO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 68–72°. There are a spread of Li–O bond distances ranging from 2.13–2.30 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share a cornercorner with one FeO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, corners with six CrO4 tetrahedra, and edges with two equivalent FeO6 octahedra. The corner-sharing octahedral tilt angles are 64°. There are a spread of Li–O bond distances ranging from 2.09–2.30 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 pentagonal pyramids that share corners with two FeO6 octahedra, corners with six CrO4 tetrahedra, and edges with two equivalent LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 65–67°. There are a spread of Li–O bond distances ranging from 2.10–2.32 Å. In the ninth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six CrO4 tetrahedra and faces with two equivalent FeO6 octahedra. There are a spread of Li–O bond distances ranging from 2.07–2.27 Å. There are twelve inequivalent Cr+5.50+ sites. In the first Cr+5.50+ site, Cr+5.50+ is bonded to four O2- atoms to form CrO4 tetrahedra that share corners with four LiO6 octahedra and corners with four FeO6 octahedra. The corner-sharing octahedra tilt angles range from 25–59°. There are a spread of Cr–O bond distances ranging from 1.65–1.70 Å. In the second Cr+5.50+ site, Cr+5.50+ is bonded to four O2- atoms to form CrO4 tetrahedra that share corners with two LiO6 octahedra, corners with three FeO6 octahedra, and corners with three LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 29–57°. There are a spread of Cr–O bond distances ranging from 1.64–1.69 Å. In the third Cr+5.50+ site, Cr+5.50+ is bonded to four O2- atoms to form CrO4 tetrahedra that share corners with two LiO6 octahedra, corners with three FeO6 octahedra, and corners with three LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 29–58°. There are a spread of Cr–O bond distances ranging from 1.64–1.71 Å. In the fourth Cr+5.50+ site, Cr+5.50+ is bonded to four O2- atoms to form CrO4 tetrahedra that share corners with two LiO6 octahedra, corners with three FeO6 octahedra, a cornercorner with one FeO6 pentagonal pyramid, and corners with two equivalent LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 25–55°. There are a spread of Cr–O bond distances ranging from 1.66–1.70 Å. In the fifth Cr+5.50+ site, Cr+5.50+ is bonded to four O2- atoms to form CrO4 tetrahedra that share corners with two FeO6 octahedra, corners with three LiO6 octahedra, a cornercorner with one FeO6 pentagonal pyramid, and corners with two equivalent LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 25–55°. There are a spread of Cr–O bond distances ranging from 1.65–1.70 Å. In the sixth Cr+5.50+ site, Cr+5.50+ is bonded to four O2- atoms to form CrO4 tetrahedra that share corners with three LiO6 octahedra and corners with five FeO6 octahedra. The corner-sharing octahedra tilt angles range from 23–60°. There are a spread of Cr–O bond distances ranging from 1.65–1.73 Å. In the seventh Cr+5.50+ site, Cr+5.50+ is bonded to four O2- atoms to form CrO4 tetrahedra that share corners with three FeO6 octahedra and corners with five LiO6 octahedra. The corner-sharing octahedra tilt angles range from 23–57°. There are a spread of Cr–O bond distances ranging from 1.66–1.68 Å. In the eighth Cr+5.50+ site, Cr+5.50+ is bonded to four O2- atoms to form CrO4 tetrahedra that share corners with two FeO6 octahedra, corners with three LiO6 octahedra, and corners with three LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 26–55°. There are a spread of Cr–O bond distances ranging from 1.64–1.70 Å. In the ninth Cr+5.50+ site, Cr+5.50+ is bonded to four O2- atoms to form CrO4 tetrahedra that share corners with two LiO6 octahedra, corners with three FeO6 octahedra, and corners with three LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 25–59°. There are a spread of Cr–O bond distances ranging from 1.62–1.73 Å. In the tenth Cr+5.50+ site, Cr+5.50+ is bonded to four O2- atoms to form CrO4 tetrahedra that share corners with two FeO6 octahedra, corners with three LiO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, and corners with two equivalent FeO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 28–57°. There are a spread of Cr–O bond distances ranging from 1.66–1.69 Å. In the eleventh Cr+5.50+ site, Cr+5.50+ is bonded to four O2- atoms to form CrO4 tetrahedra that share corners with two FeO6 octahedra, corners with three LiO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, and corners with two equivalent FeO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 28–57°. There are a spread of Cr–O bond distances ranging from 1.66–1.69 Å. In the twelfth Cr+5.50+ site, Cr+5.50+ is bonded to four O2- atoms to form CrO4 tetrahedra that share corners with four LiO6 octahedra and corners with four FeO6 octahedra. The corner-sharing octahedra tilt angles range from 26–63°. There are a spread of Cr–O bond distances ranging from 1.65–1.72 Å. There are seven inequivalent Fe3+ sites. In the first Fe3+ site, Fe3+ is bonded to six O2- atoms to form distorted FeO6 pentagonal pyramids that share corners with two LiO6 octahedra, corners with six CrO4 tetrahedra, and edges with two equivalent LiO6 pentagonal pyramids. The corner-sharing octahedral tilt angles are 70°. There are a spread of Fe–O bond distances ranging from 2.11–2.23 Å. In the second Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, corners with six CrO4 tetrahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedral tilt angles are 61°. There are a spread of Fe–O bond distances ranging from 1.99–2.07 Å. In the third Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six CrO4 tetrahedra and faces with two equivalent LiO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.08–2.16 Å. In the fourth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six CrO4 tetrahedra and faces with two equivalent LiO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.10–2.17 Å. In the fifth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share a cornercorner with one FeO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, corners with six CrO4 tetrahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedral tilt angles are 62°. There are a spread of Fe–O bond distances ranging from 2.09–2.15 Å. In the sixth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share a cornercorner with one FeO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, corners with six CrO4 tetrahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedral tilt angles are 62°. There are a spread of Fe–O bond distances ranging from 2.05–2.19 Å. In the seventh Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, corners with six CrO4 tetrahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedral tilt angles are 64°. There are a spread of Fe–O bond distances ranging from 2.06–2.17 Å. There are forty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one Cr+5.50+, and one Fe3+ atom. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Cr+5.50+, and one Fe3+ atom. In the third O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Cr+5.50+, and one Fe3+ atom. In the fourth O2- site, O2- is bonded in a 1-coordinate geometry to one Li1+, one Cr+5.50+, and one Fe3+ atom. In the fifth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Cr+5.50+, and one Fe3+ atom. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Cr+5.50+, and one Fe3+ atom. In the seventh O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Cr+5.50+, and one Fe3+ atom. In the eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Cr+5.50+, and one Fe3+ atom. In the ninth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Cr+5.50+, and one Fe3+ atom. In the tenth O2- site, O2- is bonded in a 1-coordinate geometry to one Li1+, one Cr+5.50+, and one Fe3+ atom. In the eleventh O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Cr+5.50+, and one Fe3+ atom. In the twelfth O2- site, O2- is bonded in a 1-coordinate geometry to one Li1+, one Cr+5.50+, and one Fe3+ atom. In the thirteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Cr+5.50+, and one Fe3+ atom. In the fourteenth O2- site, O2- is bonded in a 1-coordinate geometry to one Li1+, one Cr+5.50+, and one Fe3+ atom. In the fifteenth O2- site, O2- is bonded in a 1-coordinate geometry to one Li1+, one Cr+5.50+, and one Fe3+ atom. In the sixteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Cr+5.50+, and one Fe3+ atom. In the seventeenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Cr+5.50+, and one Fe3+ atom. In the eighteenth O2- site, O2- is bonded

36 MATERIALS SCIENCE↗

Materials Data on Sr7Nb34O52 by Materials Project

Sr7Nb34O52 crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are seven inequivalent Sr sites. In the first Sr site, Sr is bonded to twelve O atoms to form SrO12 cuboctahedra that share corners with five SrO12 cuboctahedra, corners with two equivalent NbO5 square pyramids, faces with two SrO12 cuboctahedra, faces with two equivalent NbO6 octahedra, and faces with six NbO5 square pyramids. There are a spread of Sr–O bond distances ranging from 2.78–3.15 Å. In the second Sr site, Sr is bonded to twelve O atoms to form SrO12 cuboctahedra that share corners with five SrO12 cuboctahedra, corners with two equivalent NbO5 square pyramids, faces with three SrO12 cuboctahedra, faces with two equivalent NbO6 octahedra, and faces with six NbO5 square pyramids. There are a spread of Sr–O bond distances ranging from 2.82–3.08 Å. In the third Sr site, Sr is bonded to twelve O atoms to form SrO12 cuboctahedra that share corners with three SrO12 cuboctahedra, corners with two equivalent NbO5 square pyramids, faces with four SrO12 cuboctahedra, faces with two equivalent NbO6 octahedra, and faces with six NbO5 square pyramids. There are a spread of Sr–O bond distances ranging from 2.85–2.96 Å. In the fourth Sr site, Sr is bonded to twelve O atoms to form distorted SrO12 cuboctahedra that share corners with five SrO12 cuboctahedra, corners with two equivalent NbO5 square pyramids, faces with three SrO12 cuboctahedra, faces with two equivalent NbO6 octahedra, and faces with six NbO5 square pyramids. There are a spread of Sr–O bond distances ranging from 2.72–3.14 Å. In the fifth Sr site, Sr is bonded to twelve O atoms to form distorted SrO12 cuboctahedra that share corners with three SrO12 cuboctahedra, corners with two equivalent NbO5 square pyramids, faces with four SrO12 cuboctahedra, faces with two equivalent NbO6 octahedra, and faces with six NbO5 square pyramids. There are a spread of Sr–O bond distances ranging from 2.73–3.13 Å. In the sixth Sr site, Sr is bonded to twelve O atoms to form SrO12 cuboctahedra that share corners with five SrO12 cuboctahedra, corners with two equivalent NbO5 square pyramids, faces with four SrO12 cuboctahedra, faces with two equivalent NbO6 octahedra, and faces with six NbO5 square pyramids. There are a spread of Sr–O bond distances ranging from 2.79–3.07 Å. In the seventh Sr site, Sr is bonded to twelve O atoms to form SrO12 cuboctahedra that share corners with four SrO12 cuboctahedra, corners with two equivalent NbO5 square pyramids, faces with four SrO12 cuboctahedra, faces with two equivalent NbO6 octahedra, and faces with six NbO5 square pyramids. There are a spread of Sr–O bond distances ranging from 2.79–3.08 Å. There are twenty-one inequivalent Nb sites. In the first Nb site, Nb is bonded to five O atoms to form NbO5 square pyramids that share corners with two SrO12 cuboctahedra, corners with five NbO5 square pyramids, an edgeedge with one NbO5 square pyramid, and a faceface with one SrO12 cuboctahedra. There are a spread of Nb–O bond distances ranging from 2.07–2.16 Å. In the second Nb site, Nb is bonded in a rectangular see-saw-like geometry to four O atoms. There are a spread of Nb–O bond distances ranging from 2.08–2.17 Å. In the third Nb site, Nb is bonded in a rectangular see-saw-like geometry to four O atoms. There are a spread of Nb–O bond distances ranging from 2.09–2.18 Å. In the fourth Nb site, Nb is bonded in a rectangular see-saw-like geometry to four O atoms. There are a spread of Nb–O bond distances ranging from 2.10–2.15 Å. In the fifth Nb site, Nb is bonded in a square co-planar geometry to four O atoms. There are a spread of Nb–O bond distances ranging from 2.10–2.16 Å. In the sixth Nb site, Nb is bonded to five O atoms to form NbO5 square pyramids that share a cornercorner with one NbO6 octahedra, corners with five NbO5 square pyramids, and faces with three SrO12 cuboctahedra. The corner-sharing octahedral tilt angles are 7°. There are a spread of Nb–O bond distances ranging from 2.03–2.15 Å. In the seventh Nb site, Nb is bonded in a rectangular see-saw-like geometry to four O atoms. There are a spread of Nb–O bond distances ranging from 2.08–2.19 Å. In the eighth Nb site, Nb is bonded in a rectangular see-saw-like geometry to four O atoms. There are a spread of Nb–O bond distances ranging from 2.08–2.18 Å. In the ninth Nb site, Nb is bonded to five O atoms to form NbO5 square pyramids that share a cornercorner with one NbO6 octahedra, corners with five NbO5 square pyramids, and faces with three SrO12 cuboctahedra. The corner-sharing octahedral tilt angles are 14°. There are a spread of Nb–O bond distances ranging from 2.07–2.17 Å. In the tenth Nb site, Nb is bonded to five O atoms to form NbO5 square pyramids that share corners with two SrO12 cuboctahedra, corners with five NbO5 square pyramids, an edgeedge with one NbO5 square pyramid, and faces with two SrO12 cuboctahedra. There are a spread of Nb–O bond distances ranging from 2.10–2.17 Å. In the eleventh Nb site, Nb is bonded to six O atoms to form NbO6 octahedra that share corners with two equivalent NbO6 octahedra, corners with four NbO5 square pyramids, and faces with seven SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 4–7°. There are a spread of Nb–O bond distances ranging from 1.97–2.11 Å. In the twelfth Nb site, Nb is bonded to five O atoms to form NbO5 square pyramids that share corners with two SrO12 cuboctahedra, corners with five NbO5 square pyramids, an edgeedge with one NbO5 square pyramid, and faces with two SrO12 cuboctahedra. There are a spread of Nb–O bond distances ranging from 2.10–2.17 Å. In the thirteenth Nb site, Nb is bonded to five O atoms to form NbO5 square pyramids that share a cornercorner with one NbO6 octahedra, corners with five NbO5 square pyramids, and faces with four SrO12 cuboctahedra. The corner-sharing octahedral tilt angles are 6°. There are a spread of Nb–O bond distances ranging from 2.06–2.14 Å. In the fourteenth Nb site, Nb is bonded in a rectangular see-saw-like geometry to four O atoms. There are a spread of Nb–O bond distances ranging from 2.09–2.17 Å. In the fifteenth Nb site, Nb is bonded in a rectangular see-saw-like geometry to four O atoms. There are a spread of Nb–O bond distances ranging from 2.08–2.16 Å. In the sixteenth Nb site, Nb is bonded to five O atoms to form NbO5 square pyramids that share a cornercorner with one NbO6 octahedra, corners with five NbO5 square pyramids, and faces with four SrO12 cuboctahedra. The corner-sharing octahedral tilt angles are 9°. There are a spread of Nb–O bond distances ranging from 2.05–2.15 Å. In the seventeenth Nb site, Nb is bonded in a square co-planar geometry to four O atoms. There are a spread of Nb–O bond distances ranging from 2.09–2.15 Å. In the eighteenth Nb site, Nb is bonded in a square co-planar geometry to four O atoms. There are a spread of Nb–O bond distances ranging from 2.10–2.15 Å. In the nineteenth Nb site, Nb is bonded in a rectangular see-saw-like geometry to four O atoms. There are a spread of Nb–O bond distances ranging from 2.07–2.17 Å. In the twentieth Nb site, Nb is bonded in a rectangular see-saw-like geometry to four O atoms. There are a spread of Nb–O bond distances ranging from 2.06–2.17 Å. In the twenty-first Nb site, Nb is bonded to five O atoms to form NbO5 square pyramids that share a cornercorner with one SrO12 cuboctahedra, corners with five NbO5 square pyramids, an edgeedge with one NbO5 square pyramid, and faces with two SrO12 cuboctahedra. There are a spread of Nb–O bond distances ranging from 2.10–2.16 Å. There are thirty-nine inequivalent O sites. In the first O site, O is bonded in a rectangular see-saw-like geometry to four Nb atoms. In the second O site, O is bonded in a rectangular see-saw-like geometry to four Nb atoms. In the third O site, O is bonded in a distorted rectangular see-saw-like geometry to one Sr and three Nb atoms. In the fourth O site, O is bonded in a distorted rectangular see-saw-like geometry to one Sr and three Nb atoms. In the fifth O site, O is bonded in a square co-planar geometry to four Nb atoms. In the sixth O site, O is bonded in a distorted rectangular see-saw-like geometry to one Sr and three Nb atoms. In the seventh O site, O is bonded in a T-shaped geometry to three Nb atoms. In the eighth O site, O is bonded in a rectangular see-saw-like geometry to four Nb atoms. In the ninth O site, O is bonded in a rectangular see-saw-like geometry to four Nb atoms. In the tenth O site, O is bonded in a distorted rectangular see-saw-like geometry to one Sr and three Nb atoms. In the eleventh O site, O is bonded in a square co-planar geometry to four Nb atoms. In the twelfth O site, O is bonded in a square co-planar geometry to four Nb atoms. In the thirteenth O site, O is bonded in a distorted rectangular see-saw-like geometry to one Sr and three Nb atoms. In the fourteenth O site, O is bonded in a distorted rectangular see-saw-like geometry to one Sr and three Nb atoms. In the fifteenth O site, O is bonded to two Sr and three Nb atoms to form a mixture of distorted corner and edge-sharing OSr2Nb3 trigonal bipyramids. In the sixteenth O site, O is bonded to two Sr and three Nb atoms to form distorted OSr2Nb3 trigonal bipyramids that share a cornercorner with one OSr3Nb2 square pyramid, corners with five OSr2Nb3 trigonal bipyramids, and an edgeedge with one OSr2Nb3 trigonal bipyramid. In the seventeenth O site, O is bonded in a distorted see-saw-like geometry to one Sr and three Nb atoms. In the eighteenth O site, O is bonded to two Sr and three Nb atoms to form a mixture of distorted corner and edge-sharing OSr2Nb3 trigonal bipyramids. In the nineteenth O site, O is bonded in a distorted linear geometry to three Sr and two Nb atoms. In the twentieth O site, O is bonded in a distorted rectangular see-saw-like geometry to one Sr and three Nb atoms. In the twenty-first O site, O is bonded in a distorted rectangular see-saw-like geometry to one Sr and three Nb atoms. In the twenty-second O site, O is bonded in a 2-coordinate geometry to three Sr and two Nb atoms. In the twenty-third O site, O is bonded to two Sr and three Nb atoms to form distorted OSr2Nb3 trigonal bipyramids that share a cornercorner with one OSr3Nb2 square pyramid, corners with seven OSr2Nb3 trigonal bipyramids, an edgeedge with one OSr2Nb3 trigonal bipyramid, and a faceface with one OSr2Nb3 trigonal bipyramid. In the twenty-fourth O site, O is bonded to three Sr and two equivalent Nb atoms to form a mixture of distorted corner and edge-sharing OSr3Nb2 square pyramids. In the twenty-fifth O site, O is bonded in a distorted linear geometry to four Sr and two equivalent Nb atoms. In the twenty-sixth O site, O is bonded in a distorted T-shaped geometry to two Sr and three Nb atoms. In the twenty-seventh O site, O is bonded in a distorted linear geometry to four Sr and two Nb atoms. In the twenty-eighth O site, O is bonded in a distorted rectangular see-saw-like geometry to one Sr and three Nb atoms. In the twenty-ninth O site, O is bonded in a distorted rectangular see-saw-like geometry to one Sr and three Nb atoms. In the thirtieth O site, O is bonded in a 2-coordinate geometry to four Sr and two Nb atoms. In the thirty-first O site, O is bonded to two Sr and three Nb atoms to form a mixture of distorted corner and edge-sharing OSr2Nb3 trigonal bipyramids. In the thirty-second O site, O is bonded to two Sr and three Nb atoms to form distorted OSr2Nb3 trigonal bipyramids that share corners with five OSr2Nb3 trigonal bipyramids, an edgeedge with one OSr3Nb2 square pyramid, and edges with two equivalent OSr2Nb3 trigonal bipyramids. In the thirty-third O site, O is bonded to two Sr and three Nb atoms to form distorted OSr2Nb3 trigonal bipyramids that share a cornercorner with one OSr3Nb2 square pyramid, corners with five OSr2Nb3 trigonal bipyramids, edges with two OSr2Nb3 trigonal b

36 MATERIALS SCIENCE↗

Materials Data on Mg16Al12I by Materials Project

Mg16Al12I is beta Plutonium-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are sixteen inequivalent Mg sites. In the first Mg site, Mg is bonded in a 1-coordinate geometry to two Mg, six Al, and one I atom. Both Mg–Mg bond lengths are 3.12 Å. There are a spread of Mg–Al bond distances ranging from 2.98–3.11 Å. The Mg–I bond length is 3.11 Å. In the second Mg site, Mg is bonded in a 1-coordinate geometry to four Mg and twelve Al atoms. There are a spread of Mg–Mg bond distances ranging from 3.12–3.24 Å. There are a spread of Mg–Al bond distances ranging from 2.98–3.37 Å. In the third Mg site, Mg is bonded in a 10-coordinate geometry to four Mg and six Al atoms. There are two shorter (3.04 Å) and one longer (3.10 Å) Mg–Mg bond lengths. There are a spread of Mg–Al bond distances ranging from 3.05–3.19 Å. In the fourth Mg site, Mg is bonded in a 12-coordinate geometry to seven Mg and five Al atoms. There are a spread of Mg–Mg bond distances ranging from 3.06–3.18 Å. There are a spread of Mg–Al bond distances ranging from 3.01–3.17 Å. In the fifth Mg site, Mg is bonded in a 1-coordinate geometry to five Mg, four Al, and one I atom. There are a spread of Mg–Mg bond distances ranging from 3.13–3.24 Å. There are a spread of Mg–Al bond distances ranging from 2.89–3.03 Å. The Mg–I bond length is 3.05 Å. In the sixth Mg site, Mg is bonded in a 12-coordinate geometry to seven Mg and five Al atoms. There are a spread of Mg–Mg bond distances ranging from 3.07–3.19 Å. There are a spread of Mg–Al bond distances ranging from 2.94–3.34 Å. In the seventh Mg site, Mg is bonded in a 4-coordinate geometry to six Mg, five Al, and one I atom. There are a spread of Mg–Mg bond distances ranging from 3.10–3.49 Å. There are a spread of Mg–Al bond distances ranging from 2.89–3.23 Å. The Mg–I bond length is 3.32 Å. In the eighth Mg site, Mg is bonded in a 2-coordinate geometry to six Mg and eight Al atoms. There are a spread of Mg–Mg bond distances ranging from 3.06–3.46 Å. There are a spread of Mg–Al bond distances ranging from 3.00–3.43 Å. In the ninth Mg site, Mg is bonded in a 1-coordinate geometry to six Mg, five Al, and one I atom. There are a spread of Mg–Mg bond distances ranging from 3.05–3.14 Å. There are a spread of Mg–Al bond distances ranging from 3.08–3.30 Å. The Mg–I bond length is 3.14 Å. In the tenth Mg site, Mg is bonded in a 12-coordinate geometry to seven Mg and five Al atoms. There are a spread of Mg–Mg bond distances ranging from 3.11–3.23 Å. There are a spread of Mg–Al bond distances ranging from 2.91–3.15 Å. In the eleventh Mg site, Mg is bonded in a 12-coordinate geometry to seven Mg and five Al atoms. There are a spread of Mg–Mg bond distances ranging from 3.17–3.29 Å. There are a spread of Mg–Al bond distances ranging from 2.92–3.18 Å. In the twelfth Mg site, Mg is bonded in a 1-coordinate geometry to six Mg, five Al, and one I atom. There are a spread of Mg–Mg bond distances ranging from 3.08–3.24 Å. There are a spread of Mg–Al bond distances ranging from 3.08–3.30 Å. The Mg–I bond length is 3.12 Å. In the thirteenth Mg site, Mg is bonded in a 11-coordinate geometry to four Mg and seven Al atoms. The Mg–Mg bond length is 3.15 Å. There are a spread of Mg–Al bond distances ranging from 3.01–3.31 Å. In the fourteenth Mg site, Mg is bonded in a 4-coordinate geometry to five Mg, five Al, and one I atom. There are a spread of Mg–Al bond distances ranging from 2.89–3.23 Å. The Mg–I bond length is 3.36 Å. In the fifteenth Mg site, Mg is bonded in a 12-coordinate geometry to five Mg and five Al atoms. There are a spread of Mg–Al bond distances ranging from 2.93–3.35 Å. In the sixteenth Mg site, Mg is bonded in a 5-coordinate geometry to five Mg, four Al, and one I atom. There are a spread of Mg–Al bond distances ranging from 2.91–3.00 Å. The Mg–I bond length is 3.08 Å. There are twelve inequivalent Al sites. In the first Al site, Al is bonded in a 9-coordinate geometry to five Mg, three Al, and one I atom. All Al–Al bond lengths are 2.72 Å. The Al–I bond length is 3.15 Å. In the second Al site, Al is bonded in a 10-coordinate geometry to eight Mg and three Al atoms. There are one shorter (2.76 Å) and one longer (2.80 Å) Al–Al bond lengths. In the third Al site, Al is bonded in a 12-coordinate geometry to seven Mg and three Al atoms. There are a spread of Al–Al bond distances ranging from 2.70–2.77 Å. In the fourth Al site, Al is bonded in a 11-coordinate geometry to eight Mg and three Al atoms. There are one shorter (2.69 Å) and one longer (2.75 Å) Al–Al bond lengths. In the fifth Al site, Al is bonded in a 11-coordinate geometry to seven Mg, three Al, and one I atom. There are one shorter (2.66 Å) and one longer (2.81 Å) Al–Al bond lengths. The Al–I bond length is 3.40 Å. In the sixth Al site, Al is bonded in a 11-coordinate geometry to eight Mg and three Al atoms. The Al–Al bond length is 2.87 Å. In the seventh Al site, Al is bonded in a 12-coordinate geometry to nine Mg and three Al atoms. In the eighth Al site, Al is bonded in a 12-coordinate geometry to nine Mg and three Al atoms. There are a spread of Al–Al bond distances ranging from 2.70–2.87 Å. In the ninth Al site, Al is bonded in a 11-coordinate geometry to eight Mg and three Al atoms. There are one shorter (2.68 Å) and one longer (2.69 Å) Al–Al bond lengths. In the tenth Al site, Al is bonded in a 11-coordinate geometry to seven Mg, three Al, and one I atom. The Al–I bond length is 3.38 Å. In the eleventh Al site, Al is bonded in a 11-coordinate geometry to eight Mg and three Al atoms. In the twelfth Al site, Al is bonded in a 12-coordinate geometry to eight Mg and three Al atoms. I is bonded in a 12-coordinate geometry to seven Mg and three Al atoms.

36 MATERIALS SCIENCE↗

Materials Data on Cu3(BO3)2 by Materials Project

Cu3B2O6 crystallizes in the monoclinic P2_1 space group. The structure is three-dimensional. there are eighteen inequivalent Cu2+ sites. In the first 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 1.85–1.98 Å. In the second Cu2+ site, Cu2+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Cu–O bond distances ranging from 1.86–2.00 Å. In the third Cu2+ site, Cu2+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Cu–O bond distances ranging from 1.94–1.96 Å. In the fourth Cu2+ site, Cu2+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Cu–O bond distances ranging from 1.94–1.96 Å. In the fifth Cu2+ site, Cu2+ is bonded in a 4-coordinate geometry to five O2- atoms. There are a spread of Cu–O bond distances ranging from 1.92–2.56 Å. In the sixth Cu2+ site, Cu2+ is bonded in a 4-coordinate geometry to five O2- atoms. There are a spread of Cu–O bond distances ranging from 1.92–2.56 Å. In the seventh 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 1.89–2.42 Å. In the eighth Cu2+ site, Cu2+ is bonded to five O2- atoms to form distorted CuO5 trigonal bipyramids that share corners with two BO4 tetrahedra and an edgeedge with one BO4 tetrahedra. There are a spread of Cu–O bond distances ranging from 1.89–2.38 Å. In the ninth 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 1.92–1.94 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 1.92–1.95 Å. In the eleventh Cu2+ site, Cu2+ is bonded to five O2- atoms to form distorted CuO5 square pyramids that share an edgeedge with one CuO5 square pyramid and an edgeedge with one BO4 tetrahedra. There are a spread of Cu–O bond distances ranging from 1.90–2.63 Å. In the twelfth Cu2+ site, Cu2+ is bonded to five O2- atoms to form distorted CuO5 square pyramids that share an edgeedge with one CuO5 square pyramid and an edgeedge with one BO4 tetrahedra. There are a spread of Cu–O bond distances ranging from 1.90–2.64 Å. In the thirteenth 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 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 1.94–2.03 Å. In the fifteenth 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 1.92–2.37 Å. In the sixteenth 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 1.91–2.74 Å. In the seventeenth 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 1.96–2.02 Å. In the eighteenth 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 1.96–2.02 Å. There are twelve inequivalent B3+ sites. In the first B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.35–1.40 Å. In the second B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.35–1.40 Å. In the third B3+ site, B3+ is bonded to four O2- atoms to form BO4 tetrahedra that share an edgeedge with one CuO5 trigonal bipyramid. There are a spread of B–O bond distances ranging from 1.43–1.55 Å. In the fourth B3+ site, B3+ is bonded to four O2- atoms to form BO4 tetrahedra that share a cornercorner with one CuO5 trigonal bipyramid. There are a spread of B–O bond distances ranging from 1.43–1.54 Å. In the fifth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.36–1.41 Å. In the sixth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.36–1.40 Å. In the seventh B3+ site, B3+ is bonded to four O2- atoms to form BO4 tetrahedra that share an edgeedge with one CuO5 square pyramid. There are a spread of B–O bond distances ranging from 1.42–1.54 Å. In the eighth B3+ site, B3+ is bonded to four O2- atoms to form BO4 tetrahedra that share a cornercorner with one CuO5 trigonal bipyramid and an edgeedge with one CuO5 square pyramid. There are a spread of B–O bond distances ranging from 1.42–1.54 Å. In the ninth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.35–1.40 Å. In the tenth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.36–1.40 Å. In the eleventh B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.37 Å) and one longer (1.41 Å) B–O bond length. In the twelfth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.37 Å) and one longer (1.41 Å) B–O bond length. There are thirty-six inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to two Cu2+ and one B3+ atom. In the second O2- site, O2- is bonded in a 3-coordinate geometry to two Cu2+ and one B3+ atom. In the third O2- site, O2- is bonded in a 3-coordinate geometry to two Cu2+ and two B3+ atoms. In the fourth O2- site, O2- is bonded in a 2-coordinate geometry to one Cu2+ and two B3+ atoms. In the fifth O2- site, O2- is bonded in a 3-coordinate geometry to two Cu2+ and one B3+ atom. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to two Cu2+ and one B3+ atom. In the seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to two Cu2+ and one B3+ atom. In the eighth O2- site, O2- is bonded in a 3-coordinate geometry to two Cu2+ and one B3+ atom. In the ninth O2- site, O2- is bonded in a 3-coordinate geometry to two Cu2+ and one B3+ atom. In the tenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Cu2+ and one B3+ atom. In the eleventh O2- site, O2- is bonded in a 4-coordinate geometry to three Cu2+ and one B3+ atom. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to three Cu2+ and one B3+ atom. In the thirteenth O2- site, O2- is bonded in a 1-coordinate geometry to three Cu2+ and one B3+ atom. In the fourteenth O2- site, O2- is bonded in a 1-coordinate geometry to three Cu2+ and one B3+ atom. In the fifteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Cu2+ and one B3+ atom. In the sixteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Cu2+ and one B3+ atom. In the seventeenth O2- site, O2- is bonded to three Cu2+ and one B3+ atom to form distorted corner-sharing OCu3B tetrahedra. In the eighteenth O2- site, O2- is bonded to three Cu2+ and one B3+ atom to form distorted corner-sharing OCu3B tetrahedra. In the nineteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Cu2+ and one B3+ atom. In the twentieth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Cu2+ and one B3+ atom. In the twenty-first O2- site, O2- is bonded in a 4-coordinate geometry to three Cu2+ and one B3+ atom. In the twenty-second O2- site, O2- is bonded in a 4-coordinate geometry to three Cu2+ and one B3+ atom. In the twenty-third O2- site, O2- is bonded in a 3-coordinate geometry to two Cu2+ and one B3+ atom. In the twenty-fourth O2- site, O2- is bonded in a 3-coordinate geometry to two Cu2+ and one B3+ atom. In the twenty-fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Cu2+ and one B3+ atom. In the twenty-sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Cu2+ and one B3+ atom. In the twenty-seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to two Cu2+ and one B3+ atom. In the twenty-eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Cu2+ and one B3+ atom. In the twenty-ninth O2- site, O2- is bonded in a 3-coordinate geometry to two Cu2+ and one B3+ atom. In the thirtieth O2- site, O2- is bonded in a 3-coordinate geometry to two Cu2+ and one B3+ atom. In the thirty-first O2- site, O2- is bonded in a 3-coordinate geometry to two Cu2+ and one B3+ atom. In the thirty-second O2- site, O2- is bonded in a 3-coordinate geometry to two Cu2+ and one B3+ atom. In the thirty-third O2- site, O2- is bonded in a 2-coordinate geometry to two Cu2+ and two B3+ atoms. In the thirty-fourth O2- site, O2- is bonded in a 2-coordinate geometry to two Cu2+ and two B3+ atoms. In the thirty-fifth O2- site, O2- is bonded to three Cu2+ and one B3+ atom to form distorted corner-sharing OCu3B tetrahedra. In the thirty-sixth O2- site, O2- is bonded to three Cu2+ and one B3+ atom to form distorted corner-sharing OCu3B tetrahedra.

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 8-coordinate geometry to eight O2- atoms. There are a spread of Li–O bond distances ranging from 2.08–2.77 Å. In the second 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 1.98–2.49 Å. In the third 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 2.00–2.49 Å. In the fourth Li1+ site, Li1+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Li–O bond distances ranging from 2.11–2.78 Å. In the fifth Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.98–2.65 Å. In the sixth Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.94–2.67 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 1.99–2.50 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 1.97–2.51 Å. In the ninth Li1+ site, Li1+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Li–O bond distances ranging from 2.07–2.74 Å. In the tenth Li1+ site, Li1+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Li–O bond distances ranging from 2.07–2.76 Å. In the eleventh Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.99–2.60 Å. In the twelfth Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 2.01–2.63 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. There are a spread of V–O bond distances ranging from 1.97–2.05 Å. In the second V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.97–2.13 Å. In the third V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.97–2.07 Å. In the fourth V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.99–2.05 Å. There are four inequivalent Mn2+ sites. In the first Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 1.93–2.27 Å. In the second Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 1.94–2.20 Å. In the third Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 1.94–2.24 Å. In the fourth Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 1.93–2.16 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 two VO6 octahedra and corners with two MnO6 octahedra. The corner-sharing octahedra tilt angles range from 23–49°. There are a spread of P–O bond distances ranging from 1.51–1.57 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 22–48°. There are a spread of P–O bond distances ranging from 1.53–1.57 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one VO6 octahedra and corners with three MnO6 octahedra. The corner-sharing octahedra tilt angles range from 26–47°. There are a spread of P–O bond distances ranging from 1.54–1.58 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and corners with two MnO6 octahedra. The corner-sharing octahedra tilt angles range from 26–48°. There are a spread of P–O bond distances ranging from 1.54–1.56 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and corners with two MnO6 octahedra. The corner-sharing octahedra tilt angles range from 23–52°. There are a spread of P–O bond distances ranging from 1.51–1.56 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 28–47°. There is three shorter (1.55 Å) and one longer (1.57 Å) P–O bond length. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra and corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 25–48°. There are a spread of P–O bond distances ranging from 1.54–1.56 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 27–49°. There is two shorter (1.54 Å) and two longer (1.56 Å) P–O bond length. 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 24–49°. There are a spread of P–O bond distances ranging from 1.51–1.57 Å. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one VO6 octahedra and corners with three MnO6 octahedra. The corner-sharing octahedra tilt angles range from 27–50°. There is one shorter (1.53 Å) and three longer (1.56 Å) P–O bond length. 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 27–49°. There is two shorter (1.54 Å) and two longer (1.56 Å) P–O bond length. 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 28–48°. There are a spread of P–O bond distances ranging from 1.54–1.56 Å. There are forty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted bent 150 degrees 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 Li1+, one Mn2+, and one P5+ atom. In the third O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one V4+, and one P5+ atom. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn2+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V4+, and one P5+ atom. In the sixth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Li1+, one Mn2+, and one P5+ atom. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Mn2+, and one P5+ atom. In the eighth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V4+, and one P5+ atom. In the ninth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one V4+, and one P5+ atom. In the tenth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Mn2+, and one P5+ atom. In the eleventh O2- site, O2- is bonded in a distorted trigonal pyramidal geometry to two Li1+, one Mn2+, and one P5+ atom. In the twelfth O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, one V4+, and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn2+, and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one V4+, and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, one Mn2+, and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V4+, and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one V4+, and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Li1+, one Mn2+, and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a distorted trigonal pyramidal geometry to two Li1+, one Mn2+, and one P5+ atom. In the twentieth O2- site, O2- is bonded in a 2-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+, one V4+, and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a 3-coordinate geometry to two Li1+, one V4+, and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted trigonal pyramidal geometry to two Li1+, one V4+, and one P5+ atom. In the twenty-fifth O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, one V4+, and one P5+ atom. In the twenty-sixth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Li1+, one V4+, and one P5+ atom. In the twenty-seventh O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V4+, and one P5+ atom. In the twenty-eighth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, one Mn2+, and one P5+ atom. In the twenty-ninth O2- site, O2- is bonded in a 3-coordinate geometry to two Li1+, one Mn2+, and one P5+ atom. In the thirtieth O2- site, O2- is bonded in a 3-coordinate geometry to two Li1+, one V4+, and one P5+ atom. In the thirty-first O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, one Mn2+, and one P5+ atom. In the thirty-second O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V4+, and one P5+ atom. In the thirty-third O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Mn2+, 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 3-coordinate geometry to one Li1+, one V4+, and one P5+ atom. In the thirty-sixth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one V4+, 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 geometry to one Li1+, one V4+, and one P5+ atom. In the thirty-ninth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Li1+, one Mn2+, and one P5+ atom. In the fortieth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn2+, and one P5+ atom. In the forty-first O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V4+, and one P5+ atom. In the forty-second O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one V4+, and one P5+ atom. In the forty-third O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn2+, and one P5+ atom. In the forty-fourth O2- site, O2- is bonded in

36 MATERIALS SCIENCE↗

Materials Data on Li3Cu2Ni5O12 by Materials Project

Li3Ni5Cu2O12 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are nine inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with two CuO6 octahedra, corners with three NiO6 octahedra, an edgeedge with one LiO6 octahedra, edges with two CuO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–19°. There are a spread of Li–O bond distances ranging from 2.01–2.30 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with two CuO6 octahedra, corners with three NiO6 octahedra, an edgeedge with one LiO6 octahedra, edges with two CuO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 10–18°. There are a spread of Li–O bond distances ranging from 2.00–2.27 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with two CuO6 octahedra, corners with three NiO6 octahedra, an edgeedge with one LiO6 octahedra, edges with two CuO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–20°. There are a spread of Li–O bond distances ranging from 2.03–2.30 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with two CuO6 octahedra, corners with three NiO6 octahedra, an edgeedge with one LiO6 octahedra, edges with two CuO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 9–20°. There are a spread of Li–O bond distances ranging from 2.04–2.28 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with two CuO6 octahedra, corners with three NiO6 octahedra, an edgeedge with one LiO6 octahedra, edges with two CuO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–20°. There are a spread of Li–O bond distances ranging from 1.99–2.41 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with two CuO6 octahedra, corners with three NiO6 octahedra, an edgeedge with one LiO6 octahedra, edges with two CuO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–18°. There are a spread of Li–O bond distances ranging from 1.98–2.39 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with two NiO6 octahedra, edges with two LiO6 octahedra, edges with three equivalent CuO6 octahedra, and edges with five NiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–17°. There are a spread of Li–O bond distances ranging from 2.02–2.19 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with two NiO6 octahedra, edges with two LiO6 octahedra, edges with three equivalent CuO6 octahedra, and edges with five NiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–17°. There are a spread of Li–O bond distances ranging from 2.03–2.18 Å. In the ninth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with two NiO6 octahedra, edges with two LiO6 octahedra, edges with three equivalent CuO6 octahedra, and edges with five NiO6 octahedra. The corner-sharing octahedra tilt angles range from 10–15°. There are a spread of Li–O bond distances ranging from 2.01–2.23 Å. There are fifteen inequivalent Ni+3.60+ sites. In the first Ni+3.60+ site, Ni+3.60+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with two LiO6 octahedra, corners with two NiO6 octahedra, edges with two LiO6 octahedra, edges with three equivalent CuO6 octahedra, and edges with five NiO6 octahedra. The corner-sharing octahedra tilt angles range from 10–20°. There are a spread of Ni–O bond distances ranging from 1.99–2.11 Å. In the second Ni+3.60+ site, Ni+3.60+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with two LiO6 octahedra, corners with two NiO6 octahedra, edges with two LiO6 octahedra, edges with three equivalent CuO6 octahedra, and edges with five NiO6 octahedra. The corner-sharing octahedra tilt angles range from 9–20°. There are a spread of Ni–O bond distances ranging from 1.98–2.10 Å. In the third Ni+3.60+ site, Ni+3.60+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with two LiO6 octahedra, corners with two NiO6 octahedra, edges with two LiO6 octahedra, edges with three equivalent CuO6 octahedra, and edges with five NiO6 octahedra. The corner-sharing octahedra tilt angles range from 15–19°. There are a spread of Ni–O bond distances ranging from 2.02–2.09 Å. In the fourth Ni+3.60+ site, Ni+3.60+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with two LiO6 octahedra, corners with two NiO6 octahedra, edges with two LiO6 octahedra, edges with three equivalent CuO6 octahedra, and edges with five NiO6 octahedra. The corner-sharing octahedra tilt angles range from 9–20°. There are a spread of Ni–O bond distances ranging from 1.89–2.15 Å. In the fifth Ni+3.60+ site, Ni+3.60+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with two LiO6 octahedra, corners with two NiO6 octahedra, edges with two LiO6 octahedra, edges with three equivalent CuO6 octahedra, and edges with five NiO6 octahedra. The corner-sharing octahedra tilt angles range from 9–18°. There are a spread of Ni–O bond distances ranging from 1.89–2.13 Å. In the sixth Ni+3.60+ site, Ni+3.60+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with two LiO6 octahedra, corners with two NiO6 octahedra, edges with two NiO6 octahedra, edges with three equivalent CuO6 octahedra, and edges with five LiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–15°. There are a spread of Ni–O bond distances ranging from 1.86–1.97 Å. In the seventh Ni+3.60+ site, Ni+3.60+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with two LiO6 octahedra, corners with two NiO6 octahedra, edges with two LiO6 octahedra, edges with three equivalent CuO6 octahedra, and edges with five NiO6 octahedra. The corner-sharing octahedra tilt angles range from 10–12°. There are a spread of Ni–O bond distances ranging from 1.91–2.13 Å. In the eighth Ni+3.60+ site, Ni+3.60+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with two LiO6 octahedra, corners with two NiO6 octahedra, edges with two NiO6 octahedra, edges with three equivalent CuO6 octahedra, and edges with five LiO6 octahedra. The corner-sharing octahedra tilt angles range from 9–15°. There are a spread of Ni–O bond distances ranging from 1.85–1.99 Å. In the ninth Ni+3.60+ site, Ni+3.60+ is bonded to six O2- atoms to form NiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with two CuO6 octahedra, corners with three NiO6 octahedra, edges with two CuO6 octahedra, edges with three NiO6 octahedra, and edges with four LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–16°. There are a spread of Ni–O bond distances ranging from 1.90–2.17 Å. In the tenth Ni+3.60+ site, Ni+3.60+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with two LiO6 octahedra, corners with two NiO6 octahedra, edges with two NiO6 octahedra, edges with three equivalent CuO6 octahedra, and edges with five LiO6 octahedra. The corner-sharing octahedra tilt angles range from 12–16°. There are a spread of Ni–O bond distances ranging from 1.89–1.97 Å. In the eleventh Ni+3.60+ site, Ni+3.60+ is bonded to six O2- atoms to form NiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with two CuO6 octahedra, corners with three NiO6 octahedra, edges with two CuO6 octahedra, edges with three NiO6 octahedra, and edges with four LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–16°. There are a spread of Ni–O bond distances ranging from 1.95–2.15 Å. In the twelfth Ni+3.60+ site, Ni+3.60+ is bonded to six O2- atoms to form NiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with two CuO6 octahedra, corners with three NiO6 octahedra, edges with two CuO6 octahedra, edges with three NiO6 octahedra, and edges with four LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–16°. There are a spread of Ni–O bond distances ranging from 1.89–2.16 Å. In the thirteenth Ni+3.60+ site, Ni+3.60+ is bonded to six O2- atoms to form NiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with two CuO6 octahedra, corners with three NiO6 octahedra, edges with two CuO6 octahedra, edges with three NiO6 octahedra, and edges with four LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–15°. There are a spread of Ni–O bond distances ranging from 1.89–2.15 Å. In the fourteenth Ni+3.60+ site, Ni+3.60+ is bonded to six O2- atoms to form NiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with two CuO6 octahedra, corners with three NiO6 octahedra, edges with two CuO6 octahedra, edges with three NiO6 octahedra, and edges with four LiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–16°. There are a spread of Ni–O bond distances ranging from 1.90–2.14 Å. In the fifteenth Ni+3.60+ site, Ni+3.60+ is bonded to six O2- atoms to form NiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with two CuO6 octahedra, corners with three NiO6 octahedra, edges with two CuO6 octahedra, edges with three NiO6 octahedra, and edges with four LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–14°. There are a spread of Ni–O bond distances ranging from 1.90–2.13 Å. There are six inequivalent Cu+1.50+ sites. In the first Cu+1.50+ site, Cu+1.50+ is bonded to six O2- atoms to form distorted CuO6 octahedra that share corners with two LiO6 octahedra, corners with two NiO6 octahedra, edges with five LiO6 octahedra, and edges with five NiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–16°. There are a spread of Cu–O bond distances ranging from 1.84–2.42 Å. In the second Cu+1.50+ site, Cu+1.50+ is bonded to six O2- atoms to form distorted CuO6 octahedra that share corners with two LiO6 octahedra, corners with two NiO6 octahedra, edges with five LiO6 octahedra, and edges with five NiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–15°. There are a spread of Cu–O bond distances ranging from 1.84–2.38 Å. In the third Cu+1.50+ site, Cu+1.50+ is bonded to six O2- atoms to form distorted CuO6 octahedra that share corners with two LiO6 octahedra, corners with two NiO6 octahedra, edges with five LiO6 octahedra, and edges with five NiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–15°. There are a spread of Cu–O bond distances ranging from 1.84–2.41 Å. In the fourth Cu+1.50+ site, Cu+1.50+ is bonded to six O2- atoms to form distorted CuO6 octahedra that share corners with two LiO6 octahedra, corners with two NiO6 octahedra, edges with two LiO6 octahedra, and edges with eight NiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–9°. There are a spread of Cu–O bond distances ranging from 1.84–2.46 Å. In the fifth Cu+1.50+ site, Cu+1.50+ is bonded to six O2- atoms to form distorted CuO6 octahedra that share corners with two LiO6 octahedra, corners with two NiO6 octahedra, edges with two LiO6 octahedra, and edges with eight NiO6 octahedra. The corner-sharing octahedra tilt ang

36 MATERIALS SCIENCE↗

Materials Data on Mg16Al12Pb by Materials Project

Mg16Al12Pb is gamma-brass-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are sixteen inequivalent Mg sites. In the first Mg site, Mg is bonded in a 1-coordinate geometry to four Mg and twelve Al atoms. There are a spread of Mg–Mg bond distances ranging from 3.12–3.19 Å. There are a spread of Mg–Al bond distances ranging from 3.03–3.29 Å. In the second Mg site, Mg is bonded in a 12-coordinate geometry to seven Mg and five Al atoms. There are a spread of Mg–Mg bond distances ranging from 3.06–3.19 Å. There are a spread of Mg–Al bond distances ranging from 2.92–3.17 Å. In the third Mg site, Mg is bonded in a 1-coordinate geometry to three Mg, six Al, and one Pb atom. There are one shorter (3.07 Å) and one longer (3.09 Å) Mg–Mg bond lengths. There are a spread of Mg–Al bond distances ranging from 3.02–3.10 Å. The Mg–Pb bond length is 3.12 Å. In the fourth Mg site, Mg is bonded in a 11-coordinate geometry to four Mg, six Al, and one Pb atom. There are one shorter (3.06 Å) and one longer (3.09 Å) Mg–Mg bond lengths. There are a spread of Mg–Al bond distances ranging from 3.09–3.15 Å. The Mg–Pb bond length is 3.59 Å. In the fifth Mg site, Mg is bonded in a 5-coordinate geometry to five Mg, four Al, and one Pb atom. There are a spread of Mg–Mg bond distances ranging from 3.06–3.22 Å. There are a spread of Mg–Al bond distances ranging from 2.94–3.08 Å. The Mg–Pb bond length is 3.20 Å. In the sixth Mg site, Mg is bonded in a 12-coordinate geometry to seven Mg and five Al atoms. There are a spread of Mg–Mg bond distances ranging from 3.12–3.19 Å. There are a spread of Mg–Al bond distances ranging from 2.92–3.27 Å. In the seventh Mg site, Mg is bonded in a 4-coordinate geometry to five Mg, five Al, and one Pb atom. There are a spread of Mg–Mg bond distances ranging from 3.13–3.22 Å. There are a spread of Mg–Al bond distances ranging from 2.91–3.25 Å. The Mg–Pb bond length is 3.18 Å. In the eighth Mg site, Mg is bonded in a 10-coordinate geometry to four Mg and six Al atoms. There are one shorter (3.04 Å) and one longer (3.09 Å) Mg–Mg bond lengths. There are a spread of Mg–Al bond distances ranging from 3.04–3.17 Å. In the ninth Mg site, Mg is bonded in a 12-coordinate geometry to six Mg, five Al, and one Pb atom. There are a spread of Mg–Mg bond distances ranging from 3.07–3.13 Å. There are a spread of Mg–Al bond distances ranging from 3.00–3.19 Å. The Mg–Pb bond length is 3.15 Å. In the tenth Mg site, Mg is bonded in a 12-coordinate geometry to seven Mg and five Al atoms. There are a spread of Mg–Mg bond distances ranging from 3.07–3.20 Å. There are a spread of Mg–Al bond distances ranging from 2.93–3.17 Å. In the eleventh Mg site, Mg is bonded in a 12-coordinate geometry to seven Mg and five Al atoms. There are a spread of Mg–Mg bond distances ranging from 3.13–3.22 Å. There are a spread of Mg–Al bond distances ranging from 2.93–3.17 Å. In the twelfth Mg site, Mg is bonded in a 12-coordinate geometry to six Mg, five Al, and one Pb atom. There are a spread of Mg–Mg bond distances ranging from 3.12–3.19 Å. There are a spread of Mg–Al bond distances ranging from 2.99–3.20 Å. The Mg–Pb bond length is 3.15 Å. In the thirteenth Mg site, Mg is bonded in a 10-coordinate geometry to five Mg and six Al atoms. There are one shorter (3.05 Å) and one longer (3.48 Å) Mg–Mg bond lengths. There are a spread of Mg–Al bond distances ranging from 3.03–3.17 Å. In the fourteenth Mg site, Mg is bonded in a 4-coordinate geometry to seven Mg, five Al, and one Pb atom. The Mg–Mg bond length is 3.33 Å. There are a spread of Mg–Al bond distances ranging from 2.92–3.24 Å. The Mg–Pb bond length is 3.19 Å. In the fifteenth Mg site, Mg is bonded in a 12-coordinate geometry to seven Mg and five Al atoms. The Mg–Mg bond length is 3.15 Å. There are a spread of Mg–Al bond distances ranging from 2.93–3.25 Å. In the sixteenth Mg site, Mg is bonded in a 5-coordinate geometry to six Mg, four Al, and one Pb atom. There are a spread of Mg–Al bond distances ranging from 2.94–3.10 Å. The Mg–Pb bond length is 3.19 Å. There are twelve inequivalent Al sites. In the first Al site, Al is bonded in a 9-coordinate geometry to five Mg, three Al, and one Pb atom. There are a spread of Al–Al bond distances ranging from 2.69–2.74 Å. The Al–Pb bond length is 3.01 Å. In the second Al site, Al is bonded in a 11-coordinate geometry to eight Mg and three Al atoms. There are one shorter (2.74 Å) and one longer (2.75 Å) Al–Al bond lengths. In the third Al site, Al is bonded in a 11-coordinate geometry to seven Mg, three Al, and one Pb atom. There are a spread of Al–Al bond distances ranging from 2.72–2.75 Å. The Al–Pb bond length is 3.41 Å. In the fourth Al site, Al is bonded in a 11-coordinate geometry to eight Mg and three Al atoms. There are one shorter (2.69 Å) and one longer (2.74 Å) Al–Al bond lengths. In the fifth Al site, Al is bonded in a 11-coordinate geometry to seven Mg, three Al, and one Pb atom. There are one shorter (2.68 Å) and one longer (2.83 Å) Al–Al bond lengths. The Al–Pb bond length is 3.08 Å. In the sixth Al site, Al is bonded in a 11-coordinate geometry to eight Mg and three Al atoms. The Al–Al bond length is 2.80 Å. In the seventh Al site, Al is bonded in a 11-coordinate geometry to eight Mg and three Al atoms. In the eighth Al site, Al is bonded in a 11-coordinate geometry to eight Mg and three Al atoms. There are a spread of Al–Al bond distances ranging from 2.70–2.81 Å. In the ninth Al site, Al is bonded in a 11-coordinate geometry to eight Mg and three Al atoms. There are one shorter (2.68 Å) and one longer (2.73 Å) Al–Al bond lengths. In the tenth Al site, Al is bonded in a 11-coordinate geometry to seven Mg, three Al, and one Pb atom. The Al–Pb bond length is 3.09 Å. In the eleventh Al site, Al is bonded in a 11-coordinate geometry to eight Mg and three Al atoms. In the twelfth Al site, Al is bonded in a 10-coordinate geometry to seven Mg, three Al, and one Pb atom. The Al–Pb bond length is 3.41 Å. Pb is bonded in a 10-coordinate geometry to eight Mg and five Al atoms.

36 MATERIALS SCIENCE↗