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At least 487 records · Page 27

Materials Data on CaSnS3 by Materials Project

CaSnS3 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eighteen inequivalent Ca2+ sites. In the first Ca2+ site, Ca2+ is bonded in a 7-coordinate geometry to seven S2- atoms. There are a spread of Ca–S bond distances ranging from 2.72–3.34 Å. In the second Ca2+ site, Ca2+ is bonded to eight S2- atoms to form distorted CaS8 hexagonal bipyramids that share a cornercorner with one CaS6 octahedra, a cornercorner with one CaS5 trigonal bipyramid, edges with four CaS7 pentagonal bipyramids, an edgeedge with one SnS4 tetrahedra, and a faceface with one SnS4 trigonal pyramid. The corner-sharing octahedral tilt angles are 21°. There are a spread of Ca–S bond distances ranging from 2.78–3.46 Å. In the third Ca2+ site, Ca2+ is bonded to six S2- atoms to form distorted CaS6 octahedra that share corners with three CaS7 pentagonal bipyramids, a cornercorner with one SnS5 trigonal bipyramid, corners with two SnS4 trigonal pyramids, and edges with two CaS6 octahedra. There are a spread of Ca–S bond distances ranging from 2.77–3.21 Å. In the fourth Ca2+ site, Ca2+ is bonded to seven S2- atoms to form CaS7 pentagonal bipyramids that share a cornercorner with one CaS6 octahedra, corners with two SnS4 tetrahedra, a cornercorner with one SnS4 trigonal pyramid, an edgeedge with one CaS8 hexagonal bipyramid, an edgeedge with one CaS6 octahedra, edges with three CaS7 pentagonal bipyramids, and an edgeedge with one SnS5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 19°. There are a spread of Ca–S bond distances ranging from 2.83–3.11 Å. In the fifth Ca2+ site, Ca2+ is bonded in a distorted hexagonal planar geometry to six S2- atoms. There are a spread of Ca–S bond distances ranging from 2.74–2.86 Å. In the sixth Ca2+ site, Ca2+ is bonded in a 6-coordinate geometry to six S2- atoms. There are a spread of Ca–S bond distances ranging from 2.80–3.20 Å. In the seventh Ca2+ site, Ca2+ is bonded in a 6-coordinate geometry to six S2- atoms. There are a spread of Ca–S bond distances ranging from 2.73–3.31 Å. In the eighth Ca2+ site, Ca2+ is bonded in a 7-coordinate geometry to seven S2- atoms. There are a spread of Ca–S bond distances ranging from 2.78–3.23 Å. In the ninth Ca2+ site, Ca2+ is bonded to seven S2- atoms to form distorted CaS7 pentagonal bipyramids that share a cornercorner with one SnS6 octahedra, a cornercorner with one SnS4 tetrahedra, a cornercorner with one SnS4 trigonal pyramid, edges with two CaS6 octahedra, edges with two CaS7 pentagonal bipyramids, and an edgeedge with one SnS5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 43°. There are a spread of Ca–S bond distances ranging from 2.73–3.38 Å. In the tenth Ca2+ site, Ca2+ is bonded to six S2- atoms to form distorted CaS6 octahedra that share a cornercorner with one CaS8 hexagonal bipyramid, a cornercorner with one SnS4 tetrahedra, a cornercorner with one SnS4 trigonal pyramid, an edgeedge with one CaS6 octahedra, edges with two CaS7 pentagonal bipyramids, and an edgeedge with one SnS4 trigonal pyramid. There are a spread of Ca–S bond distances ranging from 2.71–2.88 Å. In the eleventh Ca2+ site, Ca2+ is bonded to seven S2- atoms to form distorted CaS7 pentagonal bipyramids that share a cornercorner with one CaS6 octahedra, an edgeedge with one SnS6 octahedra, an edgeedge with one CaS7 pentagonal bipyramid, an edgeedge with one SnS4 tetrahedra, and an edgeedge with one SnS4 trigonal pyramid. The corner-sharing octahedral tilt angles are 58°. There are a spread of Ca–S bond distances ranging from 2.79–3.07 Å. In the twelfth Ca2+ site, Ca2+ is bonded to seven S2- atoms to form distorted CaS7 pentagonal bipyramids that share a cornercorner with one SnS4 tetrahedra, a cornercorner with one SnS5 trigonal bipyramid, an edgeedge with one CaS8 hexagonal bipyramid, and an edgeedge with one CaS5 trigonal bipyramid. There are a spread of Ca–S bond distances ranging from 2.85–3.08 Å. In the thirteenth Ca2+ site, Ca2+ is bonded to five S2- atoms to form distorted CaS5 trigonal bipyramids that share a cornercorner with one CaS7 pentagonal bipyramid, a cornercorner with one SnS4 tetrahedra, a cornercorner with one SnS5 trigonal bipyramid, and an edgeedge with one SnS6 octahedra. There are a spread of Ca–S bond distances ranging from 2.68–3.03 Å. In the fourteenth Ca2+ site, Ca2+ is bonded to seven S2- atoms to form distorted CaS7 pentagonal bipyramids that share a cornercorner with one SnS4 tetrahedra, a cornercorner with one SnS5 trigonal bipyramid, a cornercorner with one SnS4 trigonal pyramid, an edgeedge with one CaS8 hexagonal bipyramid, and edges with two CaS7 pentagonal bipyramids. There are a spread of Ca–S bond distances ranging from 2.78–2.86 Å. In the fifteenth Ca2+ site, Ca2+ is bonded to six S2- atoms to form distorted CaS6 octahedra that share a cornercorner with one SnS6 octahedra, corners with two SnS4 tetrahedra, a cornercorner with one CaS5 trigonal bipyramid, a cornercorner with one SnS5 trigonal bipyramid, an edgeedge with one CaS6 octahedra, and edges with two CaS7 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 44°. There are a spread of Ca–S bond distances ranging from 2.78–3.16 Å. In the sixteenth Ca2+ site, Ca2+ is bonded to seven S2- atoms to form distorted CaS7 pentagonal bipyramids that share a cornercorner with one CaS6 octahedra, a cornercorner with one SnS4 tetrahedra, a cornercorner with one CaS5 trigonal bipyramid, corners with two SnS5 trigonal bipyramids, a cornercorner with one SnS4 trigonal pyramid, an edgeedge with one CaS8 hexagonal bipyramid, an edgeedge with one CaS6 octahedra, and edges with two CaS7 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 71°. There are a spread of Ca–S bond distances ranging from 2.79–3.14 Å. In the seventeenth Ca2+ site, Ca2+ is bonded in a 6-coordinate geometry to six S2- atoms. There are a spread of Ca–S bond distances ranging from 2.75–3.19 Å. In the eighteenth Ca2+ site, Ca2+ is bonded to five S2- atoms to form distorted CaS5 trigonal bipyramids that share a cornercorner with one CaS8 hexagonal bipyramid, a cornercorner with one CaS6 octahedra, a cornercorner with one SnS6 octahedra, a cornercorner with one SnS4 tetrahedra, a cornercorner with one SnS5 trigonal bipyramid, and an edgeedge with one CaS7 pentagonal bipyramid. The corner-sharing octahedra tilt angles range from 62–76°. There are a spread of Ca–S bond distances ranging from 2.82–2.96 Å. There are eighteen inequivalent Sn4+ sites. In the first Sn4+ site, Sn4+ is bonded in a distorted T-shaped geometry to three S2- atoms. There are two shorter (2.52 Å) and one longer (2.59 Å) Sn–S bond lengths. In the second Sn4+ site, Sn4+ is bonded to four S2- atoms to form distorted SnS4 tetrahedra that share corners with two CaS6 octahedra, corners with three CaS7 pentagonal bipyramids, a cornercorner with one SnS5 trigonal bipyramid, and a cornercorner with one SnS4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 33–64°. There are a spread of Sn–S bond distances ranging from 2.40–2.62 Å. In the third Sn4+ site, Sn4+ is bonded to six S2- atoms to form distorted SnS6 octahedra that share a cornercorner with one CaS6 octahedra, a cornercorner with one CaS7 pentagonal bipyramid, a cornercorner with one SnS4 tetrahedra, a cornercorner with one CaS5 trigonal bipyramid, an edgeedge with one CaS7 pentagonal bipyramid, and an edgeedge with one CaS5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 44°. There are a spread of Sn–S bond distances ranging from 2.54–2.84 Å. In the fourth Sn4+ site, Sn4+ is bonded to five S2- atoms to form SnS5 trigonal bipyramids that share corners with two CaS7 pentagonal bipyramids and corners with two CaS5 trigonal bipyramids. There are a spread of Sn–S bond distances ranging from 2.48–2.67 Å. In the fifth Sn4+ site, Sn4+ is bonded in a distorted T-shaped geometry to three S2- atoms. There are a spread of Sn–S bond distances ranging from 2.59–2.74 Å. In the sixth Sn4+ site, Sn4+ is bonded to four S2- atoms to form SnS4 tetrahedra that share a cornercorner with one CaS6 octahedra, a cornercorner with one CaS7 pentagonal bipyramid, a cornercorner with one CaS5 trigonal bipyramid, a cornercorner with one SnS4 trigonal pyramid, and an edgeedge with one CaS7 pentagonal bipyramid. The corner-sharing octahedral tilt angles are 50°. There are a spread of Sn–S bond distances ranging from 2.42–2.51 Å. In the seventh Sn4+ site, Sn4+ is bonded in a distorted T-shaped geometry to three S2- atoms. There are two shorter (2.61 Å) and one longer (2.68 Å) Sn–S bond lengths. In the eighth Sn4+ site, Sn4+ is bonded in a trigonal non-coplanar geometry to three S2- atoms. There are a spread of Sn–S bond distances ranging from 2.60–2.67 Å. In the ninth Sn4+ site, Sn4+ is bonded in a distorted trigonal non-coplanar geometry to three S2- atoms. There are a spread of Sn–S bond distances ranging from 2.57–2.85 Å. In the tenth Sn4+ site, Sn4+ is bonded in a water-like geometry to two S2- atoms. There are one shorter (2.50 Å) and one longer (2.68 Å) Sn–S bond lengths. In the eleventh Sn4+ site, Sn4+ is bonded to four S2- atoms to form SnS4 trigonal pyramids that share corners with two CaS6 octahedra, a cornercorner with one CaS7 pentagonal bipyramid, corners with two SnS4 tetrahedra, a cornercorner with one SnS4 trigonal pyramid, and an edgeedge with one CaS7 pentagonal bipyramid. The corner-sharing octahedra tilt angles range from 23–77°. There are a spread of Sn–S bond distances ranging from 2.67–2.97 Å. In the twelfth Sn4+ site, Sn4+ is bonded in a distorted T-shaped geometry to three S2- atoms. There are a spread of Sn–S bond distances ranging from 2.45–2.65 Å. In the thirteenth Sn4+ site, Sn4+ is bonded in a distorted rectangular see-saw-like geometry to four S2- atoms. There are a spread of Sn–S bond distances ranging from 2.50–3.06 Å. In the fourteenth Sn4+ site, Sn4+ is bonded to four S2- atoms to form distorted SnS4 trigonal pyramids that share a cornercorner with one CaS6 octahedra, corners with three CaS7 pentagonal bipyramids, a cornercorner with one SnS4 trigonal pyramid, an edgeedge with one CaS6 octahedra, and a faceface with one CaS8 hexagonal bipyramid. The corner-sharing octahedral tilt angles are 70°. There are a spread of Sn–S bond distances ranging from 2.43–2.48 Å. In the fifteenth Sn4+ site, Sn4+ is bonded in a distorted see-saw-like geometry to four S2- atoms. There are a spread of Sn–S bond distances ranging from 2.39–2.60 Å. In the sixteenth Sn4+ site, Sn4+ is bonded to four S2- atoms to form SnS4 tetrahedra that share a cornercorner with one SnS6 octahedra, corners with two CaS7 pentagonal bipyramids, a cornercorner with one CaS5 trigonal bipyramid, and an edgeedge with one CaS8 hexagonal bipyramid. The corner-sharing octahedral tilt angles are 49°. There are a spread of Sn–S bond distances ranging from 2.38–2.51 Å. In the seventeenth Sn4+ site, Sn4+ is bonded to five S2- atoms to form SnS5 trigonal bipyramids that share corners with two CaS6 octahedra, corners with two CaS7 pentagonal bipyramids, a cornercorner with one SnS4 tetrahedra, and edges with two CaS7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 69–74°. There are a spread of Sn–S bond distances ranging from 2.46–2.85 Å. In the eighteenth Sn4+ site, Sn4+ is bonded in a distorted T-shaped geometry to three S2- atoms. There are a spread of Sn–S bond distances ranging from 2.50–2.75 Å. There are fifty-four inequivalent S2- sites. In the first S2- site, S2- is bonded in a 2-coordinate geometry to two Ca2+ and one S2- atom. The S–S bond length is 2.06 Å. In the second S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to three Ca2+ and one Sn4+ atom. In the third S2- site, S2- is bonded in a 4-coordinate geometry to three Ca2+, one Sn4+, and one S2- atom. The S–S b

36 MATERIALS SCIENCE↗

Materials Data on Li6V3P8O29 by Materials Project

Li6V3P8O29 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twelve inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four PO4 tetrahedra and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 2.02–2.19 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three VO6 octahedra and corners with four PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 65–71°. There are a spread of Li–O bond distances ranging from 1.87–2.27 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four PO4 tetrahedra, an edgeedge with one LiO6 octahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.94–2.15 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four PO4 tetrahedra, an edgeedge with one LiO6 octahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.98–2.16 Å. In the fifth Li1+ site, Li1+ is bonded in a distorted see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.94–2.13 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 1.97–2.14 Å. In the seventh Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.94–2.18 Å. In the eighth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.91–2.20 Å. In the ninth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 2.00–2.15 Å. In the tenth Li1+ site, Li1+ is bonded in a distorted see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 2.00–2.20 Å. In the eleventh Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with six PO4 tetrahedra and edges with two LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 2.23–2.47 Å. In the twelfth Li1+ site, Li1+ is bonded in a 2-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 1.96–2.81 Å. There are six inequivalent V4+ sites. In the first V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.91–1.99 Å. In the second V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share a cornercorner with one LiO4 tetrahedra, corners with six PO4 tetrahedra, and an edgeedge with one LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.86–1.99 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 and corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.85–2.04 Å. In the fourth V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.87–2.02 Å. In the fifth V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.85–2.06 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 PO4 tetrahedra, and an edgeedge with one LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.83–2.04 Å. There are sixteen inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 45–50°. There are a spread of P–O bond distances ranging from 1.50–1.62 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 37–47°. There are a spread of P–O bond distances ranging from 1.50–1.61 Å. In the 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 40–44°. There are a spread of P–O bond distances ranging from 1.52–1.61 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra and corners with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 33–39°. There are a spread of P–O bond distances ranging from 1.50–1.58 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 30–38°. There is one shorter (1.48 Å) and three longer (1.58 Å) P–O bond length. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 44–54°. There are a spread of P–O bond distances ranging from 1.52–1.62 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 36–41°. There are a spread of P–O bond distances ranging from 1.51–1.61 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 44–50°. There are a spread of P–O bond distances ranging from 1.50–1.61 Å. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 39–49°. There are a spread of P–O bond distances ranging from 1.50–1.61 Å. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 40–46°. There are a spread of P–O bond distances ranging from 1.51–1.61 Å. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 38–54°. There are a spread of P–O bond distances ranging from 1.52–1.63 Å. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 35–39°. There are a spread of P–O bond distances ranging from 1.49–1.58 Å. In the thirteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 30–34°. There are a spread of P–O bond distances ranging from 1.48–1.58 Å. In the fourteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 40–41°. There are a spread of P–O bond distances ranging from 1.50–1.61 Å. In the fifteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 41–47°. There are a spread of P–O bond distances ranging from 1.52–1.62 Å. In the sixteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 40–44°. There are a spread of P–O bond distances ranging from 1.50–1.62 Å. There are fifty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal planar geometry to two Li1+ and one P5+ atom. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V4+, and one P5+ atom. In the third O2- site, O2- is bonded in a 3-coordinate geometry to two Li1+ and one P5+ atom. In the fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V4+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V4+, and one P5+ atom. In the sixth O2- site, O2- is bonded in a bent 150 degrees geometry to one V4+ and one P5+ atom. In the seventh O2- site, O2- is bonded in a bent 150 degrees geometry to one V4+ and one P5+ atom. In the eighth O2- site, O2- is bonded in a 3-coordinate geometry to two Li1+ and one P5+ atom. In the ninth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one V4+ and one P5+ atom. In the tenth O2- site, O2- is bonded in a bent 150 degrees geometry to one V4+ and one P5+ atom. In the eleventh O2- site, O2- is bonded in a bent 150 degrees geometry to one V4+ and one P5+ atom. In the twelfth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one V4+, and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a linear geometry to one Li1+ 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 distorted trigonal non-coplanar geometry to one Li1+, one V4+, and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V4+, and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one V4+, and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V4+, and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two P5+ atoms. In the twentieth O2- site, O2- is bonded in a 4-coordinate geometry to three Li1+ and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a 4-coordinate geometry to three Li1+ and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V4+, and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one

36 MATERIALS SCIENCE↗

Materials Data on Er20Cu6(Pb3S14)3 by Materials Project

Er20Cu6(Pb3S14)3 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twenty inequivalent Er3+ sites. In the first Er3+ site, Er3+ is bonded to six S2- atoms to form ErS6 octahedra that share corners with three ErS6 octahedra, a cornercorner with one CuS4 tetrahedra, edges with five ErS6 octahedra, and an edgeedge with one ErS7 pentagonal bipyramid. The corner-sharing octahedra tilt angles range from 1–47°. There are a spread of Er–S bond distances ranging from 2.66–2.77 Å. In the second Er3+ site, Er3+ is bonded to six S2- atoms to form ErS6 octahedra that share corners with three ErS6 octahedra, corners with two equivalent ErS7 pentagonal bipyramids, a cornercorner with one CuS4 tetrahedra, and edges with five ErS6 octahedra. The corner-sharing octahedra tilt angles range from 3–63°. There are a spread of Er–S bond distances ranging from 2.67–2.82 Å. In the third Er3+ site, Er3+ is bonded to six S2- atoms to form ErS6 octahedra that share corners with three ErS6 octahedra, a cornercorner with one ErS7 pentagonal bipyramid, a cornercorner with one CuS4 tetrahedra, and edges with five ErS6 octahedra. The corner-sharing octahedra tilt angles range from 1–48°. There are a spread of Er–S bond distances ranging from 2.64–2.79 Å. In the fourth Er3+ site, Er3+ is bonded to six S2- atoms to form ErS6 octahedra that share corners with three ErS6 octahedra, a cornercorner with one ErS7 pentagonal bipyramid, a cornercorner with one CuS4 tetrahedra, and edges with five ErS6 octahedra. The corner-sharing octahedra tilt angles range from 6–54°. There are a spread of Er–S bond distances ranging from 2.62–2.82 Å. In the fifth Er3+ site, Er3+ is bonded to six S2- atoms to form ErS6 octahedra that share corners with three ErS6 octahedra, a cornercorner with one CuS4 tetrahedra, and edges with five ErS6 octahedra. The corner-sharing octahedra tilt angles range from 6–55°. There are a spread of Er–S bond distances ranging from 2.62–2.81 Å. In the sixth Er3+ site, Er3+ is bonded to six S2- atoms to form ErS6 octahedra that share corners with three ErS6 octahedra, a cornercorner with one CuS4 tetrahedra, and edges with five ErS6 octahedra. The corner-sharing octahedra tilt angles range from 1–57°. There are a spread of Er–S bond distances ranging from 2.68–2.78 Å. In the seventh Er3+ site, Er3+ is bonded to six S2- atoms to form ErS6 octahedra that share corners with three ErS6 octahedra, edges with five ErS6 octahedra, and edges with two CuS4 tetrahedra. The corner-sharing octahedra tilt angles range from 2–40°. There are a spread of Er–S bond distances ranging from 2.69–2.79 Å. In the eighth Er3+ site, Er3+ is bonded to six S2- atoms to form ErS6 octahedra that share corners with three ErS6 octahedra, a cornercorner with one ErS7 pentagonal bipyramid, edges with five ErS6 octahedra, and edges with two CuS4 tetrahedra. The corner-sharing octahedra tilt angles range from 1–39°. There are a spread of Er–S bond distances ranging from 2.70–2.74 Å. In the ninth Er3+ site, Er3+ is bonded to six S2- atoms to form ErS6 octahedra that share corners with three ErS6 octahedra, edges with five ErS6 octahedra, and edges with two CuS4 tetrahedra. The corner-sharing octahedra tilt angles range from 1–37°. There are a spread of Er–S bond distances ranging from 2.69–2.76 Å. In the tenth Er3+ site, Er3+ is bonded to six S2- atoms to form ErS6 octahedra that share corners with three ErS6 octahedra, a cornercorner with one ErS7 pentagonal bipyramid, edges with five ErS6 octahedra, and edges with two CuS4 tetrahedra. The corner-sharing octahedra tilt angles range from 7–38°. There are a spread of Er–S bond distances ranging from 2.70–2.76 Å. In the eleventh Er3+ site, Er3+ is bonded to six S2- atoms to form ErS6 octahedra that share corners with three ErS6 octahedra, edges with five ErS6 octahedra, and edges with two CuS4 tetrahedra. The corner-sharing octahedra tilt angles range from 5–39°. There are a spread of Er–S bond distances ranging from 2.70–2.75 Å. In the twelfth Er3+ site, Er3+ is bonded to six S2- atoms to form ErS6 octahedra that share corners with three ErS6 octahedra, edges with five ErS6 octahedra, and edges with two CuS4 tetrahedra. The corner-sharing octahedra tilt angles range from 1–41°. There are a spread of Er–S bond distances ranging from 2.69–2.78 Å. In the thirteenth Er3+ site, Er3+ is bonded to six S2- atoms to form ErS6 octahedra that share corners with two ErS6 octahedra, edges with two ErS6 octahedra, an edgeedge with one ErS7 pentagonal bipyramid, and edges with two CuS4 tetrahedra. The corner-sharing octahedra tilt angles range from 41–47°. There are a spread of Er–S bond distances ranging from 2.65–2.74 Å. In the fourteenth Er3+ site, Er3+ is bonded to six S2- atoms to form ErS6 octahedra that share corners with two ErS6 octahedra, a cornercorner with one ErS7 pentagonal bipyramid, edges with two ErS6 octahedra, an edgeedge with one ErS7 pentagonal bipyramid, and edges with two CuS4 tetrahedra. The corner-sharing octahedra tilt angles range from 37–63°. There are a spread of Er–S bond distances ranging from 2.67–2.81 Å. In the fifteenth Er3+ site, Er3+ is bonded to six S2- atoms to form ErS6 octahedra that share corners with two ErS6 octahedra, a cornercorner with one ErS7 pentagonal bipyramid, edges with two ErS6 octahedra, and edges with two CuS4 tetrahedra. The corner-sharing octahedra tilt angles range from 39–48°. There are a spread of Er–S bond distances ranging from 2.64–2.77 Å. In the sixteenth Er3+ site, Er3+ is bonded to six S2- atoms to form ErS6 octahedra that share corners with two ErS6 octahedra, edges with two ErS6 octahedra, an edgeedge with one ErS7 pentagonal bipyramid, and edges with two CuS4 tetrahedra. The corner-sharing octahedra tilt angles range from 40–54°. There are a spread of Er–S bond distances ranging from 2.63–2.79 Å. In the seventeenth Er3+ site, Er3+ is bonded to six S2- atoms to form ErS6 octahedra that share corners with two ErS6 octahedra, edges with two ErS6 octahedra, and edges with two CuS4 tetrahedra. The corner-sharing octahedra tilt angles range from 39–55°. There are a spread of Er–S bond distances ranging from 2.62–2.79 Å. In the eighteenth Er3+ site, Er3+ is bonded to six S2- atoms to form ErS6 octahedra that share corners with two ErS6 octahedra, edges with two ErS6 octahedra, and edges with two CuS4 tetrahedra. The corner-sharing octahedra tilt angles range from 38–57°. There are a spread of Er–S bond distances ranging from 2.68–2.76 Å. In the nineteenth Er3+ site, Er3+ is bonded in a 7-coordinate geometry to seven S2- atoms. There are a spread of Er–S bond distances ranging from 2.61–3.22 Å. In the twentieth Er3+ site, Er3+ is bonded to seven S2- atoms to form distorted ErS7 pentagonal bipyramids that share corners with eight ErS6 octahedra, a cornercorner with one CuS4 tetrahedra, and edges with four ErS6 octahedra. The corner-sharing octahedra tilt angles range from 22–71°. There are a spread of Er–S bond distances ranging from 2.61–3.18 Å. There are six inequivalent Cu1+ sites. In the first Cu1+ site, Cu1+ is bonded to four S2- atoms to form CuS4 tetrahedra that share a cornercorner with one ErS6 octahedra, corners with two CuS4 tetrahedra, and edges with four ErS6 octahedra. The corner-sharing octahedral tilt angles are 10°. There are a spread of Cu–S bond distances ranging from 2.32–2.37 Å. In the second Cu1+ site, Cu1+ is bonded to four S2- atoms to form CuS4 tetrahedra that share a cornercorner with one ErS6 octahedra, corners with two CuS4 tetrahedra, and edges with four ErS6 octahedra. The corner-sharing octahedral tilt angles are 8°. There are a spread of Cu–S bond distances ranging from 2.29–2.38 Å. In the third Cu1+ site, Cu1+ is bonded to four S2- atoms to form CuS4 tetrahedra that share a cornercorner with one ErS6 octahedra, corners with two CuS4 tetrahedra, and edges with four ErS6 octahedra. The corner-sharing octahedral tilt angles are 10°. There are a spread of Cu–S bond distances ranging from 2.33–2.38 Å. In the fourth Cu1+ site, Cu1+ is bonded to four S2- atoms to form CuS4 tetrahedra that share a cornercorner with one ErS6 octahedra, corners with two CuS4 tetrahedra, and edges with four ErS6 octahedra. The corner-sharing octahedral tilt angles are 8°. There are one shorter (2.31 Å) and three longer (2.36 Å) Cu–S bond lengths. In the fifth Cu1+ site, Cu1+ is bonded to four S2- atoms to form CuS4 tetrahedra that share a cornercorner with one ErS6 octahedra, corners with two CuS4 tetrahedra, and edges with four ErS6 octahedra. The corner-sharing octahedral tilt angles are 9°. There are a spread of Cu–S bond distances ranging from 2.32–2.37 Å. In the sixth Cu1+ site, Cu1+ is bonded to four S2- atoms to form CuS4 tetrahedra that share a cornercorner with one ErS6 octahedra, a cornercorner with one ErS7 pentagonal bipyramid, corners with two CuS4 tetrahedra, and edges with four ErS6 octahedra. The corner-sharing octahedral tilt angles are 9°. There are one shorter (2.32 Å) and three longer (2.36 Å) Cu–S bond lengths. There are nine inequivalent Pb2+ sites. In the first Pb2+ site, Pb2+ is bonded in a 7-coordinate geometry to seven S2- atoms. There are a spread of Pb–S bond distances ranging from 2.82–3.47 Å. In the second Pb2+ site, Pb2+ is bonded in a 7-coordinate geometry to seven S2- atoms. There are a spread of Pb–S bond distances ranging from 2.82–3.45 Å. In the third Pb2+ site, Pb2+ is bonded in a 7-coordinate geometry to seven S2- atoms. There are a spread of Pb–S bond distances ranging from 2.84–3.43 Å. In the fourth Pb2+ site, Pb2+ is bonded in a 7-coordinate geometry to seven S2- atoms. There are a spread of Pb–S bond distances ranging from 2.83–3.51 Å. In the fifth Pb2+ site, Pb2+ is bonded in a 7-coordinate geometry to seven S2- atoms. There are a spread of Pb–S bond distances ranging from 2.79–3.48 Å. In the sixth Pb2+ site, Pb2+ is bonded in a 7-coordinate geometry to seven S2- atoms. There are a spread of Pb–S bond distances ranging from 2.82–3.40 Å. In the seventh Pb2+ site, Pb2+ is bonded in a 7-coordinate geometry to seven S2- atoms. There are a spread of Pb–S bond distances ranging from 2.83–3.22 Å. In the eighth Pb2+ site, Pb2+ is bonded in a 7-coordinate geometry to seven S2- atoms. There are a spread of Pb–S bond distances ranging from 2.81–3.21 Å. In the ninth Pb2+ site, Pb2+ is bonded in a 7-coordinate geometry to seven S2- atoms. There are a spread of Pb–S bond distances ranging from 2.83–3.22 Å. There are forty-two inequivalent S2- sites. In the first S2- site, S2- is bonded in a 4-coordinate geometry to three Er3+ and one Pb2+ atom. In the second S2- site, S2- is bonded in a 4-coordinate geometry to three Er3+ and one Pb2+ atom. In the third S2- site, S2- is bonded in a 5-coordinate geometry to three Er3+ and two Pb2+ atoms. In the fourth S2- site, S2- is bonded in a 5-coordinate geometry to three Er3+ and two Pb2+ atoms. In the fifth S2- site, S2- is bonded in a 2-coordinate geometry to two Er3+ and three Pb2+ atoms. In the sixth S2- site, S2- is bonded in a 2-coordinate geometry to two Er3+ and three Pb2+ atoms. In the seventh S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to three Er3+, one Cu1+, and two Pb2+ atoms. In the eighth S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to three Er3+, one Cu1+, and two Pb2+ atoms. In the ninth S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to three Er3+, one Cu1+, and two Pb2+ atoms. In the tenth S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to three Er3+, one Cu1+, and two Pb2+ atoms. In the eleventh S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to three Er3+, one Cu1+, and two Pb2+ atoms. In the twelfth S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to three Er3+, one Cu1+, and two Pb2+ atoms. In the thirteenth S2- site, S2- is b

36 MATERIALS SCIENCE↗

Materials Data on Li6V3P8O29 by Materials Project

Li6V3P8O29 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twelve inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.94–2.18 Å. In the second Li1+ site, Li1+ is bonded in a distorted see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 2.01–2.08 Å. In the third Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 2.01–2.10 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with four PO4 tetrahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.96–2.24 Å. In the fifth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.94–2.28 Å. In the sixth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 2.01–2.22 Å. In the seventh Li1+ site, Li1+ is bonded in a distorted see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.95–2.11 Å. In the eighth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three VO6 octahedra and corners with four PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 67–70°. There are a spread of Li–O bond distances ranging from 1.85–2.28 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 and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 2.00–2.17 Å. In the tenth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with four PO4 tetrahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.97–2.12 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 1.99–2.58 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 1.95–2.81 Å. There are six inequivalent V4+ sites. In the first V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share a cornercorner with one LiO4 tetrahedra, corners with six PO4 tetrahedra, and an edgeedge with one LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.88–2.00 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 1.87–2.05 Å. In the third V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.90–2.03 Å. In the fourth V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share a cornercorner with one LiO4 tetrahedra and corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.86–2.05 Å. In the fifth V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share a cornercorner with one LiO4 tetrahedra, corners with six PO4 tetrahedra, and an edgeedge with one LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.86–1.99 Å. In the sixth V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.91–1.98 Å. There are sixteen inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedral tilt angles are 38°. There are a spread of P–O bond distances ranging from 1.50–1.62 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 41–45°. There are a spread of P–O bond distances ranging from 1.51–1.61 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 35–42°. There are a spread of P–O bond distances ranging from 1.50–1.61 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra and a cornercorner with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 33–35°. There are a spread of P–O bond distances ranging from 1.49–1.58 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 36–38°. There are a spread of P–O bond distances ranging from 1.50–1.58 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 40–43°. There are a spread of P–O bond distances ranging from 1.50–1.62 Å. In the 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 40–47°. There are a spread of P–O bond distances ranging from 1.52–1.62 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 40–41°. There are a spread of P–O bond distances ranging from 1.52–1.61 Å. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 45–46°. There are a spread of P–O bond distances ranging from 1.50–1.62 Å. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, 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 1.51–1.61 Å. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 46–47°. There are a spread of P–O bond distances ranging from 1.49–1.61 Å. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra and a cornercorner with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 29–36°. There is one shorter (1.48 Å) and three longer (1.58 Å) P–O bond length. In the thirteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 33–37°. There are a spread of P–O bond distances ranging from 1.50–1.57 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 40–48°. There are a spread of P–O bond distances ranging from 1.52–1.61 Å. In the fifteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 39–45°. There are a spread of P–O bond distances ranging from 1.50–1.61 Å. In the sixteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 45–49°. There are a spread of P–O bond distances ranging from 1.51–1.62 Å. There are fifty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to three Li1+ and one P5+ atom. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V4+, and one P5+ atom. In the third O2- site, O2- is bonded in a 3-coordinate geometry to two Li1+ and one P5+ atom. In the fourth O2- site, O2- is bonded in a bent 150 degrees geometry to one V4+ and one P5+ atom. In the fifth O2- site, O2- is bonded in a bent 150 degrees geometry to one V4+ and one P5+ atom. In the sixth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one V4+, and one P5+ atom. In the seventh O2- site, O2- is bonded in a bent 150 degrees geometry to one V4+ and one P5+ atom. In the eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Li1+ and one P5+ atom. In the ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V4+, and one P5+ atom. In the tenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one V4+, and one P5+ atom. In the eleventh O2- site, O2- is bonded in a bent 150 degrees geometry to one V4+ and one P5+ atom. In the twelfth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one V4+, and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a single-bond geometry to one P5+ atom. In the fourteenth O2- site, O2- is bonded in a single-bond geometry to one P5+ atom. In the fifteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V4+, and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one V4+ and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V4+, and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V4+, and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two P5+ atoms. In the twentieth O2- site, O2- is bonded in a 4-coordinate geometry to three Li1+ and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a 3-coordinate geometry to two Li1+ and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a bent 150 degrees geometry to one V4+ and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one V4+, and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V4+, and one P5+ atom. In the twenty-fifth O2- site, O2- is bonded in a bent 150 degrees geometry to one V4+ and one P5+ atom. In the twenty-sixth O2- site, O2- is bonded in a bent 150 degrees geometry to one V4+ and one P5+ atom. In the twenty-seventh O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two P5+ atoms. In the twenty-eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Li1+ and one P5+ atom. In the twenty-nin

36 MATERIALS SCIENCE↗

Materials Data on Li6V3P8O29 by Materials Project

Li6V3P8O29 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twelve inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four PO4 tetrahedra and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.95–2.14 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with four PO4 tetrahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.94–2.24 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three VO6 octahedra and corners with four PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 67–70°. There are a spread of Li–O bond distances ranging from 1.86–2.23 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 1.97–2.09 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 1.98–2.13 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with four PO4 tetrahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.89–2.27 Å. In the seventh Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.94–2.30 Å. In the eighth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.98–2.16 Å. In the ninth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three VO6 octahedra and corners with four PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 64–66°. There are a spread of Li–O bond distances ranging from 1.89–2.16 Å. In the tenth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.89–2.29 Å. In the eleventh Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with four PO4 tetrahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.98–2.24 Å. In the twelfth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.06–2.77 Å. There are six inequivalent V4+ sites. In the first V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and edges with two LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.88–2.01 Å. In the second V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two LiO4 tetrahedra and corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.89–2.01 Å. In the third V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two LiO4 tetrahedra and corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.88–2.03 Å. In the fourth V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and edges with two LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.85–2.02 Å. In the fifth V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.87–2.00 Å. In the sixth V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two LiO4 tetrahedra, corners with six PO4 tetrahedra, and an edgeedge with one LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.84–2.04 Å. There are sixteen inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 45–47°. There are a spread of P–O bond distances ranging from 1.52–1.60 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 39–45°. There are a spread of P–O bond distances ranging from 1.48–1.61 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 40–47°. There are a spread of P–O bond distances ranging from 1.50–1.60 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra and corners with four LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 38–39°. There is one shorter (1.51 Å) and three longer (1.57 Å) P–O bond length. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra and a cornercorner with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 23–30°. There are a spread of P–O bond distances ranging from 1.48–1.60 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 40–46°. There are a spread of P–O bond distances ranging from 1.50–1.61 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 47–48°. There are a spread of P–O bond distances ranging from 1.50–1.61 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 45–46°. There are a spread of P–O bond distances ranging from 1.50–1.62 Å. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 41–42°. There are a spread of P–O bond distances ranging from 1.50–1.61 Å. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 39–47°. There are a spread of P–O bond distances ranging from 1.50–1.61 Å. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 41–45°. There are a spread of P–O bond distances ranging from 1.51–1.62 Å. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra and corners with three LiO4 tetrahedra. The corner-sharing octahedral tilt angles are 36°. There are a spread of P–O bond distances ranging from 1.50–1.58 Å. In the thirteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 27–33°. 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 octahedral tilt angles are 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 PO4 tetrahedra, and corners with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 48–50°. There are a spread of P–O bond distances ranging from 1.51–1.61 Å. In the sixteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 40–43°. There are a spread of P–O bond distances ranging from 1.50–1.63 Å. There are fifty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a bent 120 degrees geometry to one Li1+ and one P5+ atom. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V4+, and one P5+ atom. In the third O2- site, O2- is bonded in a distorted trigonal planar geometry to two Li1+ and one P5+ atom. In the fourth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one V4+ and one P5+ atom. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V4+, and one P5+ atom. In the sixth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one V4+, and one P5+ atom. In the seventh O2- site, O2- is bonded in a bent 150 degrees geometry to one V4+ and one P5+ atom. In the eighth O2- site, O2- is bonded in a 3-coordinate geometry to two Li1+ and one P5+ atom. In the ninth O2- site, O2- is bonded in a bent 150 degrees geometry to one V4+ and one P5+ atom. In the tenth O2- site, O2- is bonded in a bent 150 degrees geometry to one V4+ and one P5+ atom. In the eleventh O2- site, O2- is bonded in a bent 150 degrees geometry to one V4+ and one P5+ atom. In the twelfth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V4+, and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a linear geometry to one Li1+ 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 distorted trigonal non-coplanar geometry to one Li1+, one V4+, and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V4+, and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V4+, and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V4+, and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a bent 150 degrees geometry to two P5+ atoms. In the twentieth O2- site, O2- is bonded in a trigonal planar geometry to two Li1+ and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a distorted trigonal planar geometry to two Li1+ and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V4+, and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V4+, and one P5+ atom. In the

36 MATERIALS SCIENCE↗

Materials Data on Li6V3P8O29 by Materials Project

Li6V3P8O29 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twelve inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with four PO4 tetrahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.96–2.21 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with four PO4 tetrahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.96–2.24 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three VO6 octahedra and corners with four PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 65–67°. There are a spread of Li–O bond distances ranging from 1.87–2.21 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with four PO4 tetrahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.90–2.27 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with four PO4 tetrahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.96–2.24 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with four PO4 tetrahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.96–2.19 Å. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with four PO4 tetrahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.95–2.28 Å. In the eighth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with four PO4 tetrahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.87–2.27 Å. In the ninth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three VO6 octahedra and corners with four PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 66–67°. There are one shorter (1.89 Å) and three longer (2.17 Å) Li–O bond lengths. In the tenth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with four PO4 tetrahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.97–2.19 Å. In the eleventh Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with four PO4 tetrahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.96–2.25 Å. In the twelfth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with four PO4 tetrahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.94–2.30 Å. There are six inequivalent V4+ sites. In the first V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share a cornercorner with one LiO4 tetrahedra, corners with six PO4 tetrahedra, and edges with two LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.86–1.99 Å. In the second V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share a cornercorner with one LiO4 tetrahedra, corners with six PO4 tetrahedra, and edges with two LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.90–2.04 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 PO4 tetrahedra, and an edgeedge with one LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.87–2.01 Å. In the fourth V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share a cornercorner with one LiO4 tetrahedra, corners with six PO4 tetrahedra, and edges with two LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.89–2.05 Å. In the fifth V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share a cornercorner with one LiO4 tetrahedra, corners with six PO4 tetrahedra, and an edgeedge with one LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.89–2.01 Å. In the 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 PO4 tetrahedra, and edges with two LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.89–2.04 Å. There are sixteen inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 41–47°. There are a spread of P–O bond distances ranging from 1.47–1.62 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 42–47°. There are a spread of P–O bond distances ranging from 1.51–1.60 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 37–46°. There are a spread of P–O bond distances ranging from 1.50–1.61 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra and corners with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 31–35°. There are a spread of P–O bond distances ranging from 1.50–1.61 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra and corners with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 33–34°. There are a spread of P–O bond distances ranging from 1.49–1.60 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 45–46°. There are a spread of P–O bond distances ranging from 1.48–1.62 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 42–48°. There are a spread of P–O bond distances ranging from 1.51–1.61 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with four LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 46–49°. There are a spread of P–O bond distances ranging from 1.51–1.62 Å. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 43–47°. There are a spread of P–O bond distances ranging from 1.46–1.63 Å. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 36–46°. There are a spread of P–O bond distances ranging from 1.50–1.61 Å. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 43–46°. There are a spread of P–O bond distances ranging from 1.50–1.61 Å. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra and corners with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 34–36°. There are a spread of P–O bond distances ranging from 1.49–1.60 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 corners with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 29–35°. There are a spread of P–O bond distances ranging from 1.50–1.59 Å. In the fourteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 41–47°. There are a spread of P–O bond distances ranging from 1.50–1.61 Å. In the fifteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 36–46°. There are a spread of P–O bond distances ranging from 1.50–1.62 Å. In the sixteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with four LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 46–48°. There are a spread of P–O bond distances ranging from 1.50–1.62 Å. There are fifty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a trigonal planar geometry to two Li1+ and one P5+ atom. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V4+, and one P5+ atom. In the third O2- site, O2- is bonded in a single-bond geometry to one P5+ atom. In the fourth O2- site, O2- is bonded in a bent 150 degrees geometry to one V4+ and one P5+ atom. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V4+, and one P5+ atom. In the sixth O2- site, O2- is bonded in a bent 150 degrees geometry to one V4+ and one P5+ atom. In the seventh O2- site, O2- is bonded in a bent 150 degrees geometry to one V4+ and one P5+ atom. In the eighth O2- site, O2- is bonded in a trigonal planar geometry to two Li1+ and one P5+ atom. In the ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V4+, and one P5+ atom. In the tenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V4+, and one P5+ atom. In the eleventh O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one V4+ and one P5+ atom. In the twelfth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V4+, and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a linear geometry to one Li1+ 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 3-coordinate geometry to one Li1+, one V4+, and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a distorted trigonal planar ge

36 MATERIALS SCIENCE↗

Materials Data on Sn13Pd20 by Materials Project

Pd20Sn13 crystallizes in the monoclinic C2 space group. The structure is three-dimensional. there are twenty-two inequivalent Pd sites. In the first Pd site, Pd is bonded to six Pd and six Sn atoms to form a mixture of distorted face and corner-sharing PdSn6Pd6 cuboctahedra. There are a spread of Pd–Pd bond distances ranging from 2.87–3.02 Å. There are a spread of Pd–Sn bond distances ranging from 2.81–2.99 Å. In the second Pd site, Pd is bonded to six Pd and six Sn atoms to form a mixture of distorted face and corner-sharing PdSn6Pd6 cuboctahedra. There are a spread of Pd–Pd bond distances ranging from 2.89–3.00 Å. There are a spread of Pd–Sn bond distances ranging from 2.81–2.95 Å. In the third Pd site, Pd is bonded to six Pd and six Sn atoms to form a mixture of distorted face and corner-sharing PdSn6Pd6 cuboctahedra. There are a spread of Pd–Pd bond distances ranging from 2.84–2.99 Å. There are a spread of Pd–Sn bond distances ranging from 2.80–2.96 Å. In the fourth Pd site, Pd is bonded in a 11-coordinate geometry to five Pd and six Sn atoms. There are a spread of Pd–Pd bond distances ranging from 2.83–3.03 Å. There are a spread of Pd–Sn bond distances ranging from 2.69–2.96 Å. In the fifth Pd site, Pd is bonded in a 5-coordinate geometry to six Pd and five Sn atoms. There are a spread of Pd–Pd bond distances ranging from 2.83–3.02 Å. There are a spread of Pd–Sn bond distances ranging from 2.68–2.97 Å. In the sixth Pd site, Pd is bonded in a 6-coordinate geometry to five Pd and six Sn atoms. There are a spread of Pd–Pd bond distances ranging from 2.86–3.08 Å. There are a spread of Pd–Sn bond distances ranging from 2.71–2.98 Å. In the seventh Pd site, Pd is bonded in a 6-coordinate geometry to five Pd and six Sn atoms. There are a spread of Pd–Pd bond distances ranging from 2.89–3.04 Å. There are a spread of Pd–Sn bond distances ranging from 2.69–2.95 Å. In the eighth Pd site, Pd is bonded in a 6-coordinate geometry to five Pd and six Sn atoms. There are a spread of Pd–Pd bond distances ranging from 2.88–3.02 Å. There are a spread of Pd–Sn bond distances ranging from 2.70–2.98 Å. In the ninth Pd site, Pd is bonded in a 5-coordinate geometry to six Pd and five Sn atoms. There are a spread of Pd–Pd bond distances ranging from 2.82–3.03 Å. There are a spread of Pd–Sn bond distances ranging from 2.67–2.90 Å. In the tenth Pd site, Pd is bonded in a 3-coordinate geometry to seven Pd and six Sn atoms. There are a spread of Pd–Pd bond distances ranging from 2.85–3.04 Å. There are a spread of Pd–Sn bond distances ranging from 2.78–3.29 Å. In the eleventh Pd site, Pd is bonded in a 4-coordinate geometry to six Pd and seven Sn atoms. There are one shorter (2.89 Å) and one longer (3.03 Å) Pd–Pd bond lengths. There are a spread of Pd–Sn bond distances ranging from 2.78–3.37 Å. In the twelfth Pd site, Pd is bonded in a 4-coordinate geometry to six Pd and seven Sn atoms. There are one shorter (2.87 Å) and one longer (2.97 Å) Pd–Pd bond lengths. There are a spread of Pd–Sn bond distances ranging from 2.82–3.38 Å. In the thirteenth Pd site, Pd is bonded in a 12-coordinate geometry to six Pd and six Sn atoms. There are two shorter (2.88 Å) and two longer (3.00 Å) Pd–Pd bond lengths. There are a spread of Pd–Sn bond distances ranging from 2.77–2.92 Å. In the fourteenth Pd site, Pd is bonded in a 12-coordinate geometry to six Pd and six Sn atoms. There are a spread of Pd–Pd bond distances ranging from 2.83–3.02 Å. There are a spread of Pd–Sn bond distances ranging from 2.78–2.96 Å. In the fifteenth Pd site, Pd is bonded in a 5-coordinate geometry to six Pd and five Sn atoms. There are one shorter (2.86 Å) and one longer (2.98 Å) Pd–Pd bond lengths. There are a spread of Pd–Sn bond distances ranging from 2.68–2.85 Å. In the sixteenth Pd site, Pd is bonded in a 6-coordinate geometry to five Pd and six Sn atoms. The Pd–Pd bond length is 2.98 Å. There are a spread of Pd–Sn bond distances ranging from 2.71–2.93 Å. In the seventeenth Pd site, Pd is bonded in a 6-coordinate geometry to five Pd and six Sn atoms. The Pd–Pd bond length is 2.97 Å. There are a spread of Pd–Sn bond distances ranging from 2.69–2.94 Å. In the eighteenth Pd site, Pd is bonded in a 12-coordinate geometry to six Pd and six Sn atoms. There are a spread of Pd–Sn bond distances ranging from 2.77–2.88 Å. In the nineteenth Pd site, Pd is bonded in a 12-coordinate geometry to six Pd and six Sn atoms. There are a spread of Pd–Sn bond distances ranging from 2.78–2.92 Å. In the twentieth Pd site, Pd is bonded to six Pd and six Sn atoms to form a mixture of distorted face and corner-sharing PdSn6Pd6 cuboctahedra. There are a spread of Pd–Sn bond distances ranging from 2.83–2.96 Å. In the twenty-first Pd site, Pd is bonded to six Pd and six Sn atoms to form a mixture of distorted face and corner-sharing PdSn6Pd6 cuboctahedra. There are a spread of Pd–Sn bond distances ranging from 2.80–2.99 Å. In the twenty-second Pd site, Pd is bonded in a 12-coordinate geometry to eight Pd and six Sn atoms. There are a spread of Pd–Sn bond distances ranging from 3.19–3.25 Å. There are thirteen inequivalent Sn sites. In the first Sn site, Sn is bonded in a 8-coordinate geometry to nine Pd atoms. In the second Sn site, Sn is bonded in a 9-coordinate geometry to nine Pd atoms. In the third Sn site, Sn is bonded in a 10-coordinate geometry to ten Pd atoms. In the fourth Sn site, Sn is bonded in a 8-coordinate geometry to nine Pd atoms. In the fifth Sn site, Sn is bonded in a 10-coordinate geometry to ten Pd atoms. In the sixth Sn site, Sn is bonded in a 9-coordinate geometry to nine Pd atoms. In the seventh Sn site, Sn is bonded in a 10-coordinate geometry to ten Pd atoms. In the eighth Sn site, Sn is bonded in a 10-coordinate geometry to ten Pd atoms. In the ninth Sn site, Sn is bonded in a 10-coordinate geometry to ten Pd atoms. In the tenth Sn site, Sn is bonded in a 7-coordinate geometry to nine Pd atoms. In the eleventh Sn site, Sn is bonded in a 7-coordinate geometry to eight Pd atoms. In the twelfth Sn site, Sn is bonded in a 7-coordinate geometry to eight Pd atoms. In the thirteenth Sn site, Sn is bonded in a distorted body-centered cubic geometry to eight Pd atoms.

36 MATERIALS SCIENCE↗

Materials Data on Li6V3P8O29 by Materials Project

Li6V3P8O29 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twelve inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with four PO4 tetrahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.99–2.19 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 2.00–2.15 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three VO6 octahedra and corners with four PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 66–69°. There are a spread of Li–O bond distances ranging from 1.87–2.27 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four PO4 tetrahedra and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.88–2.29 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 1.92–2.11 Å. In the sixth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.99–2.18 Å. In the seventh Li1+ site, Li1+ is bonded in a distorted see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.96–2.12 Å. In the eighth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.95–2.20 Å. In the ninth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three VO6 octahedra and corners with four PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 66–70°. There are a spread of Li–O bond distances ranging from 1.87–2.28 Å. In the tenth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with four PO4 tetrahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 2.03–2.14 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 1.94–2.74 Å. In the twelfth Li1+ site, Li1+ is bonded in a 3-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 1.96–2.85 Å. There are six inequivalent V4+ sites. In the first V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share a cornercorner with one LiO4 tetrahedra, corners with six PO4 tetrahedra, and an edgeedge with one LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.90–2.00 Å. In the second V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share a cornercorner with one LiO4 tetrahedra and corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.85–2.03 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 PO4 tetrahedra, and an edgeedge with one LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.86–2.00 Å. In the fourth V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share a cornercorner with one LiO4 tetrahedra, corners with six PO4 tetrahedra, and an edgeedge with one LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.85–2.02 Å. In the fifth V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share a cornercorner with one LiO4 tetrahedra, corners with six PO4 tetrahedra, and an edgeedge with one LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.89–2.01 Å. In the sixth V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share a cornercorner with one LiO4 tetrahedra and corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.86–2.04 Å. There are sixteen inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 43–45°. There are a spread of P–O bond distances ranging from 1.48–1.61 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 42–47°. There are a spread of P–O bond distances ranging from 1.52–1.61 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 36–40°. There are a spread of P–O bond distances ranging from 1.50–1.60 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra and corners with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 30–35°. There are a spread of P–O bond distances ranging from 1.50–1.58 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra and a cornercorner with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 35–38°. There is one shorter (1.49 Å) and three longer (1.58 Å) P–O bond length. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 44–46°. There are a spread of P–O bond distances ranging from 1.51–1.62 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 41–45°. There are a spread of P–O bond distances ranging from 1.51–1.62 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 39–44°. There are a spread of P–O bond distances ranging from 1.50–1.61 Å. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 44–45°. There are a spread of P–O bond distances ranging from 1.49–1.62 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 38–39°. There are a spread of P–O bond distances ranging from 1.52–1.61 Å. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 44–46°. There are a spread of P–O bond distances ranging from 1.49–1.61 Å. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra and a cornercorner with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 30–37°. There are a spread of P–O bond distances ranging from 1.48–1.59 Å. In the thirteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra and a cornercorner with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 28–34°. There are a spread of P–O bond distances ranging from 1.49–1.57 Å. In the fourteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 39–45°. There are a spread of P–O bond distances ranging from 1.52–1.61 Å. In the fifteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 37–47°. 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 PO4 tetrahedra, and corners with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 45–49°. There are a spread of P–O bond distances ranging from 1.49–1.63 Å. There are fifty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal planar geometry to three Li1+ and one P5+ atom. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V4+, and one P5+ atom. In the third O2- site, O2- is bonded in a 2-coordinate geometry to two Li1+ and one P5+ atom. In the fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V4+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V4+, and one P5+ atom. In the sixth O2- site, O2- is bonded in a bent 150 degrees geometry to one V4+ and one P5+ atom. In the seventh O2- site, O2- is bonded in a bent 150 degrees geometry to one V4+ and one P5+ atom. In the eighth O2- site, O2- is bonded in a 2-coordinate geometry to two Li1+ and one P5+ atom. In the ninth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one V4+ and one P5+ atom. In the tenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one V4+, and one P5+ atom. In the eleventh O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one V4+ and one P5+ atom. In the twelfth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one V4+, and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a linear geometry to one Li1+ 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 3-coordinate geometry to one Li1+, one V4+, and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V4+, and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one V4+, and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V4+, and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two P5+ atoms. In the twentieth O2- site, O2- is bonded in a 3-coordinate geometry to three Li1+ and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a trigonal planar geometry to two Li1+ and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V4+, and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one V4+, and

36 MATERIALS SCIENCE↗

Materials Data on Li6V3P8O29 by Materials Project

Li6V3P8O29 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twelve inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with four PO4 tetrahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.97–2.17 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with four PO4 tetrahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.95–2.23 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three VO6 octahedra and corners with four PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 65–67°. There are a spread of Li–O bond distances ranging from 1.87–2.17 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with four PO4 tetrahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.96–2.17 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with four PO4 tetrahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.97–2.16 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with four PO4 tetrahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.88–2.22 Å. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with four PO4 tetrahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.95–2.26 Å. In the eighth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with four PO4 tetrahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.95–2.19 Å. In the ninth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with four PO4 tetrahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.96–2.22 Å. In the tenth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with four PO4 tetrahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.91–2.24 Å. In the eleventh Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with four PO4 tetrahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.97–2.18 Å. In the twelfth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with four PO4 tetrahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.94–2.26 Å. There are six inequivalent V4+ sites. In the first V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and edges with two LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.88–2.02 Å. In the second V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share a cornercorner with one LiO4 tetrahedra, corners with six PO4 tetrahedra, and edges with two LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.89–2.03 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 PO4 tetrahedra, and an edgeedge with one LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.88–2.01 Å. In the fourth V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and edges with two LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.85–2.03 Å. In the fifth V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and edges with two LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.89–2.00 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 PO4 tetrahedra, and edges with two LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.88–2.05 Å. There are sixteen inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with four LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 48–49°. There are a spread of P–O bond distances ranging from 1.51–1.60 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 39–45°. There are a spread of P–O bond distances ranging from 1.48–1.63 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 40–46°. There are a spread of P–O bond distances ranging from 1.50–1.62 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra and corners with four LiO4 tetrahedra. The corner-sharing octahedral tilt angles are 37°. There is one shorter (1.51 Å) and three longer (1.57 Å) P–O bond length. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 30–35°. There are a spread of P–O bond distances ranging from 1.49–1.60 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with four LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 46–49°. There are a spread of P–O bond distances ranging from 1.51–1.61 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 41–42°. There are a spread of P–O bond distances ranging from 1.50–1.62 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with four LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 45–48°. There are a spread of P–O bond distances ranging from 1.51–1.61 Å. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 42–46°. There are a spread of P–O bond distances ranging from 1.51–1.61 Å. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 40–46°. There are a spread of P–O bond distances ranging from 1.50–1.62 Å. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 41–46°. There are a spread of P–O bond distances ranging from 1.51–1.62 Å. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra and corners with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 36–37°. There are a spread of P–O bond distances ranging from 1.49–1.59 Å. In the thirteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra and corners with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 33–35°. There are a spread of P–O bond distances ranging from 1.49–1.60 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 PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 40–44°. There are a spread of P–O bond distances ranging from 1.48–1.64 Å. In the fifteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 38–47°. There are a spread of P–O bond distances ranging from 1.50–1.62 Å. In the sixteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 41–46°. There are a spread of P–O bond distances ranging from 1.51–1.62 Å. There are fifty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a bent 120 degrees geometry to one Li1+ and one P5+ atom. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V4+, and one P5+ atom. In the third O2- site, O2- is bonded in a trigonal planar geometry to two Li1+ and one P5+ atom. In the fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V4+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V4+, and one P5+ atom. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V4+, and one P5+ atom. In the seventh O2- site, O2- is bonded in a bent 150 degrees geometry to one V4+ and one P5+ atom. In the eighth O2- site, O2- is bonded in a trigonal planar geometry to two Li1+ and one P5+ atom. In the ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V4+, and one P5+ atom. In the tenth O2- site, O2- is bonded in a bent 150 degrees geometry to one V4+ and one P5+ atom. In the eleventh O2- site, O2- is bonded in a bent 150 degrees geometry to one V4+ and one P5+ atom. In the twelfth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V4+, and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a linear geometry to one Li1+ 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 3-coordinate geometry to one Li1+, one V4+, and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V4+, and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V4+

36 MATERIALS SCIENCE↗

Materials Data on Li6Zn3(PS4)4 by Materials Project

Li6Zn3(PS4)4 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twenty-four inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four S2- atoms to form distorted LiS4 tetrahedra that share corners with two ZnS4 tetrahedra, corners with four PS4 tetrahedra, and corners with six LiS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.52–2.66 Å. In the second Li1+ site, Li1+ is bonded to four S2- atoms to form distorted LiS4 tetrahedra that share a cornercorner with one ZnS4 tetrahedra, corners with four PS4 tetrahedra, and corners with seven LiS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.56–2.66 Å. In the third Li1+ site, Li1+ is bonded to four S2- atoms to form distorted LiS4 tetrahedra that share corners with two ZnS4 tetrahedra, corners with four PS4 tetrahedra, and corners with six LiS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.52–2.66 Å. In the fourth Li1+ site, Li1+ is bonded to four S2- atoms to form distorted LiS4 tetrahedra that share corners with three ZnS4 tetrahedra, corners with four PS4 tetrahedra, and corners with five LiS4 tetrahedra. There are one shorter (2.55 Å) and three longer (2.56 Å) Li–S bond lengths. In the fifth Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share a cornercorner with one LiS4 tetrahedra, corners with three ZnS4 tetrahedra, and corners with four PS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.42–2.51 Å. In the sixth Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share a cornercorner with one LiS4 tetrahedra, corners with three ZnS4 tetrahedra, and corners with four PS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.44–2.49 Å. In the seventh Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share corners with four ZnS4 tetrahedra and corners with four PS4 tetrahedra. There are two shorter (2.46 Å) and two longer (2.48 Å) Li–S bond lengths. In the eighth Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share corners with four ZnS4 tetrahedra and corners with four PS4 tetrahedra. There are three shorter (2.46 Å) and one longer (2.47 Å) Li–S bond lengths. In the ninth Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share corners with four ZnS4 tetrahedra and corners with four PS4 tetrahedra. There are three shorter (2.46 Å) and one longer (2.47 Å) Li–S bond lengths. In the tenth Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share corners with four ZnS4 tetrahedra and corners with four PS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.43–2.48 Å. In the eleventh Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share corners with two ZnS4 tetrahedra, corners with four LiS4 tetrahedra, and corners with four PS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.41–2.44 Å. In the twelfth Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share corners with two ZnS4 tetrahedra, corners with four LiS4 tetrahedra, and corners with four PS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.43–2.49 Å. In the thirteenth Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share corners with two LiS4 tetrahedra, corners with three ZnS4 tetrahedra, and corners with four PS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.42–2.47 Å. In the fourteenth Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share a cornercorner with one LiS4 tetrahedra, corners with three ZnS4 tetrahedra, and corners with four PS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.42–2.50 Å. In the fifteenth Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share a cornercorner with one ZnS4 tetrahedra, corners with four PS4 tetrahedra, and corners with five LiS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.40–2.50 Å. In the sixteenth Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share a cornercorner with one ZnS4 tetrahedra, corners with four PS4 tetrahedra, and corners with five LiS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.40–2.46 Å. In the seventeenth Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share corners with three ZnS4 tetrahedra, corners with four PS4 tetrahedra, and corners with five LiS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.39–2.42 Å. In the eighteenth Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share corners with three LiS4 tetrahedra, corners with three ZnS4 tetrahedra, and corners with four PS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.37–2.49 Å. In the nineteenth Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share a cornercorner with one LiS4 tetrahedra, corners with four ZnS4 tetrahedra, and corners with four PS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.41–2.45 Å. In the twentieth Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share corners with four ZnS4 tetrahedra and corners with four PS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.46–2.48 Å. In the twenty-first Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share corners with four LiS4 tetrahedra and corners with four PS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.42–2.45 Å. In the twenty-second Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share corners with four PS4 tetrahedra and corners with six LiS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.38–2.44 Å. In the twenty-third Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share corners with four PS4 tetrahedra and corners with eight LiS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.37–2.39 Å. In the twenty-fourth Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share corners with four PS4 tetrahedra and corners with six LiS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.39–2.44 Å. There are twelve inequivalent Zn2+ sites. In the first Zn2+ site, Zn2+ is bonded to four S2- atoms to form ZnS4 tetrahedra that share corners with four PS4 tetrahedra and corners with five LiS4 tetrahedra. There are a spread of Zn–S bond distances ranging from 2.35–2.39 Å. In the second Zn2+ site, Zn2+ is bonded to four S2- atoms to form ZnS4 tetrahedra that share corners with four LiS4 tetrahedra and corners with four PS4 tetrahedra. There are a spread of Zn–S bond distances ranging from 2.35–2.39 Å. In the third Zn2+ site, Zn2+ is bonded to four S2- atoms to form ZnS4 tetrahedra that share corners with four LiS4 tetrahedra and corners with four PS4 tetrahedra. There are two shorter (2.36 Å) and two longer (2.37 Å) Zn–S bond lengths. In the fourth Zn2+ site, Zn2+ is bonded to four S2- atoms to form ZnS4 tetrahedra that share corners with four LiS4 tetrahedra and corners with four PS4 tetrahedra. There are one shorter (2.35 Å) and three longer (2.38 Å) Zn–S bond lengths. In the fifth Zn2+ site, Zn2+ is bonded to four S2- atoms to form ZnS4 tetrahedra that share corners with four LiS4 tetrahedra and corners with four PS4 tetrahedra. There are one shorter (2.35 Å) and three longer (2.38 Å) Zn–S bond lengths. In the sixth Zn2+ site, Zn2+ is bonded to four S2- atoms to form ZnS4 tetrahedra that share corners with four LiS4 tetrahedra and corners with four PS4 tetrahedra. There are a spread of Zn–S bond distances ranging from 2.36–2.40 Å. In the seventh Zn2+ site, Zn2+ is bonded to four S2- atoms to form ZnS4 tetrahedra that share corners with four PS4 tetrahedra and corners with five LiS4 tetrahedra. There are a spread of Zn–S bond distances ranging from 2.35–2.40 Å. In the eighth Zn2+ site, Zn2+ is bonded to four S2- atoms to form ZnS4 tetrahedra that share corners with four LiS4 tetrahedra and corners with four PS4 tetrahedra. There are a spread of Zn–S bond distances ranging from 2.36–2.39 Å. In the ninth Zn2+ site, Zn2+ is bonded to four S2- atoms to form ZnS4 tetrahedra that share corners with four LiS4 tetrahedra and corners with four PS4 tetrahedra. There are a spread of Zn–S bond distances ranging from 2.36–2.38 Å. In the tenth Zn2+ site, Zn2+ is bonded to four S2- atoms to form ZnS4 tetrahedra that share corners with four PS4 tetrahedra and corners with six LiS4 tetrahedra. There are three shorter (2.36 Å) and one longer (2.40 Å) Zn–S bond lengths. In the eleventh Zn2+ site, Zn2+ is bonded to four S2- atoms to form ZnS4 tetrahedra that share corners with four PS4 tetrahedra and corners with six LiS4 tetrahedra. There are a spread of Zn–S bond distances ranging from 2.33–2.41 Å. In the twelfth Zn2+ site, Zn2+ is bonded to four S2- atoms to form ZnS4 tetrahedra that share corners with four PS4 tetrahedra and corners with six LiS4 tetrahedra. There are a spread of Zn–S bond distances ranging from 2.34–2.39 Å. There are sixteen inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four S2- atoms to form PS4 tetrahedra that share corners with three ZnS4 tetrahedra and corners with five LiS4 tetrahedra. There are a spread of P–S bond distances ranging from 2.02–2.08 Å. In the second P5+ site, P5+ is bonded to four S2- atoms to form PS4 tetrahedra that share corners with four LiS4 tetrahedra and corners with four ZnS4 tetrahedra. There are three shorter (2.06 Å) and one longer (2.07 Å) P–S bond lengths. In the third P5+ site, P5+ is bonded to four S2- atoms to form PS4 tetrahedra that share corners with four LiS4 tetrahedra and corners with four ZnS4 tetrahedra. There are three shorter (2.06 Å) and one longer (2.07 Å) P–S bond lengths. In the fourth P5+ site, P5+ is bonded to four S2- atoms to form PS4 tetrahedra that share corners with four LiS4 tetrahedra and corners with four ZnS4 tetrahedra. There are three shorter (2.06 Å) and one longer (2.07 Å) P–S bond lengths. In the fifth P5+ site, P5+ is bonded to four S2- atoms to form PS4 tetrahedra that share corners with four LiS4 tetrahedra and corners with four ZnS4 tetrahedra. There are two shorter (2.06 Å) and two longer (2.07 Å) P–S bond lengths. In the sixth P5+ site, P5+ is bonded to four S2- atoms to form PS4 tetrahedra that share corners with four LiS4 tetrahedra and corners with four ZnS4 tetrahedra. There are two shorter (2.06 Å) and two longer (2.07 Å) P–S bond lengths. In the seventh P5+ site, P5+ is bonded to four S2- atoms to form PS4 tetrahedra that share corners with two ZnS4 tetrahedra and corners with eight LiS4 tetrahedra. There are a spread of P–S bond distances ranging from 2.01–2.13 Å. In the eighth P5+ site, P5+ is bonded to four S2- atoms to form PS4 tetrahedra that share corners with two ZnS4 tetrahedra and corners with eight LiS4 tetrahedra. There are a spread of P–S bond distances ranging from 2.05–2.07 Å. In the ninth P5+ site, P5+ is bonded to four S2- atoms to form PS4 tetrahedra that share corners with four ZnS4 tetrahedra and corners with five LiS4 tetrahedra. There are a spread of P–S bond distances ranging from 2.05–2.09 Å. In the tenth P5+ site, P5+ is bonded to four S2- atoms to form PS4 tetrahedra that share corners with three ZnS4 tetrahedra and corners with six LiS4 tetrahedra. There are three shorter (2.06 Å) and one longer (2.07 Å) P–S bond lengths. In the eleventh P5+ site, P5+ is bonded to four S2- atoms to form PS4 tetrahedra that share corners with two ZnS4 tetrahedra and corners with eight LiS4 tetrahedra. There are a spread of P–S bond distances ranging from 2.01–2.12 Å. In the twelfth P5+ site, P5+ is bonded to four S2- atoms to form PS4 tetrah

36 MATERIALS SCIENCE↗

Materials Data on Li5Mn4(P2O7)4 by Materials Project

Li5Mn4(P2O7)4 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are ten inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 square pyramids that share a cornercorner with one MnO6 octahedra, corners with three PO4 tetrahedra, corners with two LiO4 trigonal pyramids, an edgeedge with one MnO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedral tilt angles are 51°. There are a spread of Li–O bond distances ranging from 1.98–2.22 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four PO4 tetrahedra and an edgeedge with one LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.85–1.97 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one MnO6 octahedra and corners with four PO4 tetrahedra. The corner-sharing octahedral tilt angles are 58°. There are a spread of Li–O bond distances ranging from 1.89–1.98 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 trigonal pyramids that share a cornercorner with one LiO5 square pyramid, corners with four PO4 tetrahedra, and an edgeedge with one MnO6 octahedra. There are a spread of Li–O bond distances ranging from 1.82–2.09 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 1.95–2.38 Å. In the sixth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share a cornercorner with one MnO6 octahedra, a cornercorner with one LiO4 tetrahedra, corners with five PO4 tetrahedra, an edgeedge with one MnO6 octahedra, and an edgeedge with one MnO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 68°. There are a spread of Li–O bond distances ranging from 1.93–2.44 Å. In the seventh Li1+ site, Li1+ is bonded in a 6-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.85–2.68 Å. In the eighth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with four PO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, and an edgeedge with one LiO4 tetrahedra. The corner-sharing octahedral tilt angles are 66°. There are a spread of Li–O bond distances ranging from 1.89–2.06 Å. In the ninth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 trigonal pyramids that share a cornercorner with one MnO6 octahedra, a cornercorner with one LiO5 square pyramid, corners with four PO4 tetrahedra, and an edgeedge with one MnO6 octahedra. The corner-sharing octahedral tilt angles are 57°. There are a spread of Li–O bond distances ranging from 1.88–2.17 Å. In the tenth Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.89–2.48 Å. There are eight inequivalent Mn+2.75+ sites. In the first Mn+2.75+ site, Mn+2.75+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with six PO4 tetrahedra, an edgeedge with one LiO5 square pyramid, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Mn–O bond distances ranging from 2.07–2.44 Å. In the second Mn+2.75+ site, Mn+2.75+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Mn–O bond distances ranging from 1.96–2.48 Å. In the third Mn+2.75+ site, Mn+2.75+ is bonded in a 5-coordinate geometry to six O2- atoms. There are a spread of Mn–O bond distances ranging from 1.91–2.69 Å. In the fourth Mn+2.75+ site, Mn+2.75+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share a cornercorner with one LiO5 square pyramid and corners with six PO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 1.94–2.56 Å. In the fifth Mn+2.75+ site, Mn+2.75+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with six PO4 tetrahedra, an edgeedge with one LiO5 trigonal bipyramid, an edgeedge with one MnO5 trigonal bipyramid, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Mn–O bond distances ranging from 2.06–2.41 Å. In the sixth Mn+2.75+ site, Mn+2.75+ is bonded to five O2- atoms to form distorted MnO5 trigonal bipyramids that share corners with five PO4 tetrahedra, an edgeedge with one MnO6 octahedra, and an edgeedge with one LiO5 trigonal bipyramid. There are a spread of Mn–O bond distances ranging from 1.97–2.21 Å. In the seventh Mn+2.75+ site, Mn+2.75+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with two LiO4 tetrahedra, corners with four PO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one MnO6 octahedra, and an edgeedge with one PO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 1.98–2.54 Å. In the eighth Mn+2.75+ site, Mn+2.75+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.94–2.61 Å. There are sixteen inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one PO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, and a cornercorner with one MnO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 64°. There are a spread of P–O bond distances ranging from 1.49–1.62 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one PO4 tetrahedra, corners with two LiO4 tetrahedra, and a cornercorner with one LiO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 32°. There are a spread of P–O bond distances ranging from 1.50–1.62 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two MnO6 octahedra, a cornercorner with one LiO5 square pyramid, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 51–54°. There are a spread of P–O bond distances ranging from 1.51–1.58 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three MnO6 octahedra, a cornercorner with one PO4 tetrahedra, and a cornercorner with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 21–54°. There is three shorter (1.53 Å) and one longer (1.63 Å) P–O bond length. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three MnO6 octahedra, a cornercorner with one PO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, and an edgeedge with one LiO5 square pyramid. The corner-sharing octahedra tilt angles range from 31–49°. There are a spread of P–O bond distances ranging from 1.50–1.62 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, a cornercorner with one LiO4 tetrahedra, a cornercorner with one PO4 tetrahedra, and a cornercorner with one MnO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 55°. There are a spread of P–O bond distances ranging from 1.51–1.60 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one PO4 tetrahedra, a cornercorner with one MnO5 trigonal bipyramid, and a cornercorner with one LiO4 trigonal pyramid. The corner-sharing octahedral tilt angles are 64°. There are a spread of P–O bond distances ranging from 1.50–1.60 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedral tilt angles are 30°. There are a spread of P–O bond distances ranging from 1.49–1.62 Å. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two MnO6 octahedra, a cornercorner with one PO4 tetrahedra, corners with two LiO4 tetrahedra, and a cornercorner with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 41–63°. 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 MnO6 octahedra, a cornercorner with one PO4 tetrahedra, and a cornercorner with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 57–61°. 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 a cornercorner with one MnO6 octahedra, a cornercorner with one LiO4 tetrahedra, a cornercorner with one PO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, and an edgeedge with one MnO6 octahedra. The corner-sharing octahedral tilt angles are 54°. There are a spread of P–O bond distances ranging from 1.51–1.59 Å. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three MnO6 octahedra, a cornercorner with one PO4 tetrahedra, and a cornercorner with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 22–55°. There are a spread of P–O bond distances ranging from 1.52–1.64 Å. In the thirteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three MnO6 octahedra, a cornercorner with one LiO5 square pyramid, a cornercorner with one PO4 tetrahedra, and a cornercorner with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 28–54°. There are a spread of P–O bond distances ranging from 1.52–1.62 Å. In the fourteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one PO4 tetrahedra, corners with two LiO4 tetrahedra, and a cornercorner with one MnO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 57°. There are a spread of P–O bond distances ranging from 1.51–1.60 Å. In the fifteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one LiO4 tetrahedra, a cornercorner with one PO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, and a cornercorner with one MnO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 39°. There are a spread of P–O bond distances ranging from 1.48–1.63 Å. In the sixteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two MnO6 octahedra, a cornercorner with one LiO5 square pyramid, a cornercorner with one PO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, and a cornercorner with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 51–59°. There are a spread of P–O bond distances ranging from 1.50–1.60 Å. There are fifty-six inequivalent O2- sites. In the first O2- site, O2- is bonded in a bent 120 degrees geometry to one Li1+ and one P5+ atom. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.75+, and one P5+ atom. In the third O2- site, O2- is bonded in a 3-coordinate geometry to two Mn+2.75+ and one P5+ atom. In the fourth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Mn+2.75+ and one P5+ atom. In the fifth O2- site,

36 MATERIALS SCIENCE↗

Materials Data on Li5Mn4(P2O7)4 by Materials Project

Li5Mn4(P2O7)4 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are ten inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.92–2.66 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one LiO4 tetrahedra. The corner-sharing octahedral tilt angles are 64°. There is one shorter (1.83 Å) and three longer (1.94 Å) Li–O bond length. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two MnO6 octahedra, corners with four PO4 tetrahedra, and a cornercorner with one MnO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 42–54°. There are a spread of Li–O bond distances ranging from 1.88–2.03 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four PO4 tetrahedra and an edgeedge with one MnO6 octahedra. There are a spread of Li–O bond distances ranging from 1.89–2.12 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 1.94–2.44 Å. In the sixth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share a cornercorner with one MnO6 octahedra, a cornercorner with one LiO4 tetrahedra, corners with five PO4 tetrahedra, and an edgeedge with one MnO6 octahedra. The corner-sharing octahedral tilt angles are 75°. There are a spread of Li–O bond distances ranging from 1.99–2.40 Å. In the seventh Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.91–2.54 Å. In the eighth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with four PO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, and an edgeedge with one LiO4 tetrahedra. The corner-sharing octahedral tilt angles are 73°. There are a spread of Li–O bond distances ranging from 1.91–1.98 Å. In the ninth Li1+ site, Li1+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.87–2.11 Å. In the tenth 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 1.99–2.29 Å. There are eight inequivalent Mn+2.75+ sites. In the first Mn+2.75+ site, Mn+2.75+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra, an edgeedge with one MnO6 octahedra, and an edgeedge with one LiO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 1.90–2.17 Å. In the second Mn+2.75+ site, Mn+2.75+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with two LiO4 tetrahedra, corners with four PO4 tetrahedra, an edgeedge with one MnO6 octahedra, and an edgeedge with one PO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 1.98–2.39 Å. In the third Mn+2.75+ site, Mn+2.75+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, corners with five PO4 tetrahedra, and an edgeedge with one MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.95–2.15 Å. In the fourth Mn+2.75+ site, Mn+2.75+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Mn–O bond distances ranging from 1.94–2.19 Å. In the fifth Mn+2.75+ site, Mn+2.75+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one LiO5 trigonal bipyramid. There are a spread of Mn–O bond distances ranging from 2.11–2.39 Å. In the sixth Mn+2.75+ site, Mn+2.75+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Mn–O bond distances ranging from 1.97–2.22 Å. In the seventh Mn+2.75+ site, Mn+2.75+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two LiO4 tetrahedra, corners with four PO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, an edgeedge with one MnO6 octahedra, and an edgeedge with one PO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 2.13–2.30 Å. In the eighth Mn+2.75+ site, Mn+2.75+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.98–2.21 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 MnO6 octahedra, a cornercorner with one PO4 tetrahedra, and a cornercorner with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 48–60°. There are a spread of P–O bond distances ranging from 1.51–1.60 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one PO4 tetrahedra, corners with two LiO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, and a cornercorner with one MnO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 30°. There are a spread of P–O bond distances ranging from 1.51–1.63 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two MnO6 octahedra, a cornercorner with one PO4 tetrahedra, corners with two LiO4 tetrahedra, and a cornercorner with one MnO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 52–56°. There are a spread of P–O bond distances ranging from 1.50–1.61 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three MnO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 34–50°. There are a spread of P–O bond distances ranging from 1.52–1.61 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three MnO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 30–56°. There are a spread of P–O bond distances ranging from 1.52–1.64 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, a cornercorner with one LiO4 tetrahedra, a cornercorner with one PO4 tetrahedra, and an edgeedge with one MnO6 octahedra. The corner-sharing octahedral tilt angles are 57°. There are a spread of P–O bond distances ranging from 1.52–1.61 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two MnO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedral tilt angles are 58°. 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 MnO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 32–58°. There are a spread of P–O bond distances ranging from 1.49–1.64 Å. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two MnO6 octahedra, a cornercorner with one PO4 tetrahedra, corners with two LiO4 tetrahedra, and a cornercorner with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 41–64°. There are a spread of P–O bond distances ranging from 1.49–1.63 Å. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two MnO6 octahedra, a cornercorner with one LiO4 tetrahedra, a cornercorner with one PO4 tetrahedra, and a cornercorner with one MnO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 53–59°. There are a spread of P–O bond distances ranging from 1.50–1.59 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, a cornercorner with one LiO4 tetrahedra, a cornercorner with one PO4 tetrahedra, a cornercorner with one MnO5 trigonal bipyramid, and an edgeedge with one MnO6 octahedra. The corner-sharing octahedral tilt angles are 56°. There are a spread of P–O bond distances ranging from 1.51–1.61 Å. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three MnO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 25–50°. There are a spread of P–O bond distances ranging from 1.53–1.61 Å. In the thirteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three MnO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 33–47°. There are a spread of P–O bond distances ranging from 1.52–1.61 Å. In the fourteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two MnO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 51–54°. There are a spread of P–O bond distances ranging from 1.51–1.61 Å. In the fifteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one LiO4 tetrahedra, a cornercorner with one PO4 tetrahedra, and a cornercorner with one LiO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 38°. There are a spread of P–O bond distances ranging from 1.49–1.62 Å. In the sixteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two MnO6 octahedra, a cornercorner with one PO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, and a cornercorner with one MnO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 55–56°. There are a spread of P–O bond distances ranging from 1.49–1.61 Å. There are fifty-six inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal planar geometry to two Li1+ and one P5+ atom. In the second O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Mn+2.75+ and one P5+ atom. In the third O2- site, O2- is bonded in a 3-coordinate geometry to two Mn+2.75+ and one P5+ atom. In the fourth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Mn+2.75+ and one P5+ atom. In the fifth O2- site, O2- is bonded in a bent 150 degrees geometry to two P5+ atoms. In the sixth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+2.75+ and one P5+ atom. In the seventh O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one Mn+2.75+, and one P5+ atom. In the eighth O2- site, O2- is bonded in a bent 120 degrees geometry to one Li1+ and one P5+ atom. In the ninth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two P5+ atoms. In the tenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Li1+ and one P5+ atom. In the eleventh O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.75+ and one P5+ atom. In the twelfth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn+2.75+, and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a bent 120 degrees

36 MATERIALS SCIENCE↗

Materials Data on Li19(FeAs)20 by Materials Project

Li19(FeAs)20 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are nineteen inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to five As3- atoms to form distorted LiAs5 trigonal bipyramids that share corners with twelve FeAs4 tetrahedra, corners with three LiAs5 trigonal bipyramids, edges with four FeAs4 tetrahedra, and edges with seven LiAs5 trigonal bipyramids. There are a spread of Li–As bond distances ranging from 2.68–2.77 Å. In the second Li1+ site, Li1+ is bonded to five As3- atoms to form distorted LiAs5 trigonal bipyramids that share corners with twelve FeAs4 tetrahedra, corners with four LiAs5 trigonal bipyramids, edges with four FeAs4 tetrahedra, and edges with seven LiAs5 trigonal bipyramids. There are a spread of Li–As bond distances ranging from 2.66–2.76 Å. In the third Li1+ site, Li1+ is bonded to five As3- atoms to form distorted LiAs5 trigonal bipyramids that share corners with twelve FeAs4 tetrahedra, corners with three LiAs5 trigonal bipyramids, edges with four FeAs4 tetrahedra, and edges with seven LiAs5 trigonal bipyramids. There are a spread of Li–As bond distances ranging from 2.68–2.76 Å. In the fourth Li1+ site, Li1+ is bonded to five As3- atoms to form distorted LiAs5 trigonal bipyramids that share corners with twelve FeAs4 tetrahedra, corners with four LiAs5 trigonal bipyramids, edges with four FeAs4 tetrahedra, and edges with eight LiAs5 trigonal bipyramids. There are a spread of Li–As bond distances ranging from 2.70–2.76 Å. In the fifth Li1+ site, Li1+ is bonded to five As3- atoms to form distorted LiAs5 trigonal bipyramids that share corners with twelve FeAs4 tetrahedra, corners with four LiAs5 trigonal bipyramids, edges with four FeAs4 tetrahedra, and edges with seven LiAs5 trigonal bipyramids. There are a spread of Li–As bond distances ranging from 2.67–2.78 Å. In the sixth Li1+ site, Li1+ is bonded to five As3- atoms to form distorted LiAs5 trigonal bipyramids that share corners with twelve FeAs4 tetrahedra, corners with four LiAs5 trigonal bipyramids, edges with four FeAs4 tetrahedra, and edges with eight LiAs5 trigonal bipyramids. There are a spread of Li–As bond distances ranging from 2.70–2.75 Å. In the seventh Li1+ site, Li1+ is bonded to five As3- atoms to form distorted LiAs5 trigonal bipyramids that share corners with twelve FeAs4 tetrahedra, corners with four LiAs5 trigonal bipyramids, edges with four FeAs4 tetrahedra, and edges with eight LiAs5 trigonal bipyramids. There are a spread of Li–As bond distances ranging from 2.70–2.78 Å. In the eighth Li1+ site, Li1+ is bonded to five As3- atoms to form distorted LiAs5 trigonal bipyramids that share corners with twelve FeAs4 tetrahedra, corners with three LiAs5 trigonal bipyramids, edges with four FeAs4 tetrahedra, and edges with seven LiAs5 trigonal bipyramids. There are a spread of Li–As bond distances ranging from 2.68–2.76 Å. In the ninth Li1+ site, Li1+ is bonded to five As3- atoms to form distorted LiAs5 trigonal bipyramids that share corners with twelve FeAs4 tetrahedra, corners with four LiAs5 trigonal bipyramids, edges with four FeAs4 tetrahedra, and edges with eight LiAs5 trigonal bipyramids. There are a spread of Li–As bond distances ranging from 2.69–2.73 Å. In the tenth Li1+ site, Li1+ is bonded to five As3- atoms to form distorted LiAs5 trigonal bipyramids that share corners with twelve FeAs4 tetrahedra, corners with four LiAs5 trigonal bipyramids, edges with four FeAs4 tetrahedra, and edges with eight LiAs5 trigonal bipyramids. There are a spread of Li–As bond distances ranging from 2.67–2.77 Å. In the eleventh Li1+ site, Li1+ is bonded to five As3- atoms to form distorted LiAs5 trigonal bipyramids that share corners with twelve FeAs4 tetrahedra, corners with three LiAs5 trigonal bipyramids, edges with four FeAs4 tetrahedra, and edges with seven LiAs5 trigonal bipyramids. There are a spread of Li–As bond distances ranging from 2.68–2.78 Å. In the twelfth Li1+ site, Li1+ is bonded to five As3- atoms to form distorted LiAs5 trigonal bipyramids that share corners with twelve FeAs4 tetrahedra, corners with four LiAs5 trigonal bipyramids, edges with four FeAs4 tetrahedra, and edges with eight LiAs5 trigonal bipyramids. There are a spread of Li–As bond distances ranging from 2.68–2.78 Å. In the thirteenth Li1+ site, Li1+ is bonded to five As3- atoms to form distorted LiAs5 trigonal bipyramids that share corners with twelve FeAs4 tetrahedra, corners with four LiAs5 trigonal bipyramids, edges with four FeAs4 tetrahedra, and edges with eight LiAs5 trigonal bipyramids. There are a spread of Li–As bond distances ranging from 2.68–2.76 Å. In the fourteenth Li1+ site, Li1+ is bonded to five As3- atoms to form distorted LiAs5 trigonal bipyramids that share corners with twelve FeAs4 tetrahedra, corners with four LiAs5 trigonal bipyramids, edges with four FeAs4 tetrahedra, and edges with seven LiAs5 trigonal bipyramids. There are a spread of Li–As bond distances ranging from 2.67–2.78 Å. In the fifteenth Li1+ site, Li1+ is bonded to five As3- atoms to form distorted LiAs5 trigonal bipyramids that share corners with twelve FeAs4 tetrahedra, corners with four LiAs5 trigonal bipyramids, edges with four FeAs4 tetrahedra, and edges with eight LiAs5 trigonal bipyramids. There are a spread of Li–As bond distances ranging from 2.68–2.76 Å. In the sixteenth Li1+ site, Li1+ is bonded to five As3- atoms to form distorted LiAs5 trigonal bipyramids that share corners with twelve FeAs4 tetrahedra, corners with four LiAs5 trigonal bipyramids, edges with four FeAs4 tetrahedra, and edges with seven LiAs5 trigonal bipyramids. There are a spread of Li–As bond distances ranging from 2.66–2.76 Å. In the seventeenth Li1+ site, Li1+ is bonded to five As3- atoms to form distorted LiAs5 trigonal bipyramids that share corners with twelve FeAs4 tetrahedra, corners with four LiAs5 trigonal bipyramids, edges with four FeAs4 tetrahedra, and edges with eight LiAs5 trigonal bipyramids. There are a spread of Li–As bond distances ranging from 2.69–2.78 Å. In the eighteenth Li1+ site, Li1+ is bonded to five As3- atoms to form distorted LiAs5 trigonal bipyramids that share corners with twelve FeAs4 tetrahedra, corners with four LiAs5 trigonal bipyramids, edges with four FeAs4 tetrahedra, and edges with eight LiAs5 trigonal bipyramids. There are a spread of Li–As bond distances ranging from 2.68–2.74 Å. In the nineteenth Li1+ site, Li1+ is bonded to five As3- atoms to form distorted LiAs5 trigonal bipyramids that share corners with twelve FeAs4 tetrahedra, corners with four LiAs5 trigonal bipyramids, edges with four FeAs4 tetrahedra, and edges with eight LiAs5 trigonal bipyramids. There are a spread of Li–As bond distances ranging from 2.70–2.78 Å. There are twenty inequivalent Fe+2.05+ sites. In the first Fe+2.05+ site, Fe+2.05+ is bonded to four As3- atoms to form FeAs4 tetrahedra that share corners with four FeAs4 tetrahedra, corners with eleven LiAs5 trigonal bipyramids, edges with four FeAs4 tetrahedra, and edges with four LiAs5 trigonal bipyramids. There are a spread of Fe–As bond distances ranging from 2.34–2.38 Å. In the second Fe+2.05+ site, Fe+2.05+ is bonded to four As3- atoms to form FeAs4 tetrahedra that share corners with four FeAs4 tetrahedra, corners with twelve LiAs5 trigonal bipyramids, edges with four FeAs4 tetrahedra, and edges with four LiAs5 trigonal bipyramids. There are a spread of Fe–As bond distances ranging from 2.36–2.39 Å. In the third Fe+2.05+ site, Fe+2.05+ is bonded to four As3- atoms to form FeAs4 tetrahedra that share corners with four FeAs4 tetrahedra, corners with eleven LiAs5 trigonal bipyramids, edges with four FeAs4 tetrahedra, and edges with four LiAs5 trigonal bipyramids. There are a spread of Fe–As bond distances ranging from 2.37–2.39 Å. In the fourth Fe+2.05+ site, Fe+2.05+ is bonded to four As3- atoms to form FeAs4 tetrahedra that share corners with four FeAs4 tetrahedra, corners with eleven LiAs5 trigonal bipyramids, edges with four FeAs4 tetrahedra, and edges with four LiAs5 trigonal bipyramids. There are a spread of Fe–As bond distances ranging from 2.37–2.39 Å. In the fifth Fe+2.05+ site, Fe+2.05+ is bonded to four As3- atoms to form FeAs4 tetrahedra that share corners with four FeAs4 tetrahedra, corners with twelve LiAs5 trigonal bipyramids, edges with four FeAs4 tetrahedra, and edges with three LiAs5 trigonal bipyramids. There are a spread of Fe–As bond distances ranging from 2.35–2.38 Å. In the sixth Fe+2.05+ site, Fe+2.05+ is bonded to four As3- atoms to form FeAs4 tetrahedra that share corners with four FeAs4 tetrahedra, corners with twelve LiAs5 trigonal bipyramids, edges with four FeAs4 tetrahedra, and edges with four LiAs5 trigonal bipyramids. All Fe–As bond lengths are 2.39 Å. In the seventh Fe+2.05+ site, Fe+2.05+ is bonded to four As3- atoms to form FeAs4 tetrahedra that share corners with four FeAs4 tetrahedra, corners with ten LiAs5 trigonal bipyramids, edges with four FeAs4 tetrahedra, and edges with four LiAs5 trigonal bipyramids. There are two shorter (2.35 Å) and two longer (2.39 Å) Fe–As bond lengths. In the eighth Fe+2.05+ site, Fe+2.05+ is bonded to four As3- atoms to form FeAs4 tetrahedra that share corners with four FeAs4 tetrahedra, corners with twelve LiAs5 trigonal bipyramids, edges with four FeAs4 tetrahedra, and edges with four LiAs5 trigonal bipyramids. There are a spread of Fe–As bond distances ranging from 2.37–2.40 Å. In the ninth Fe+2.05+ site, Fe+2.05+ is bonded to four As3- atoms to form FeAs4 tetrahedra that share corners with four FeAs4 tetrahedra, corners with eleven LiAs5 trigonal bipyramids, edges with four FeAs4 tetrahedra, and edges with four LiAs5 trigonal bipyramids. There are a spread of Fe–As bond distances ranging from 2.35–2.39 Å. In the tenth Fe+2.05+ site, Fe+2.05+ is bonded to four As3- atoms to form FeAs4 tetrahedra that share corners with four FeAs4 tetrahedra, corners with twelve LiAs5 trigonal bipyramids, edges with four FeAs4 tetrahedra, and edges with four LiAs5 trigonal bipyramids. There are a spread of Fe–As bond distances ranging from 2.36–2.39 Å. In the eleventh Fe+2.05+ site, Fe+2.05+ is bonded to four As3- atoms to form FeAs4 tetrahedra that share corners with four FeAs4 tetrahedra, corners with eleven LiAs5 trigonal bipyramids, edges with four FeAs4 tetrahedra, and edges with four LiAs5 trigonal bipyramids. There are a spread of Fe–As bond distances ranging from 2.37–2.39 Å. In the twelfth Fe+2.05+ site, Fe+2.05+ is bonded to four As3- atoms to form FeAs4 tetrahedra that share corners with four FeAs4 tetrahedra, corners with eleven LiAs5 trigonal bipyramids, edges with four FeAs4 tetrahedra, and edges with four LiAs5 trigonal bipyramids. There are a spread of Fe–As bond distances ranging from 2.35–2.39 Å. In the thirteenth Fe+2.05+ site, Fe+2.05+ is bonded to four As3- atoms to form FeAs4 tetrahedra that share corners with four FeAs4 tetrahedra, corners with twelve LiAs5 trigonal bipyramids, edges with four FeAs4 tetrahedra, and edges with four LiAs5 trigonal bipyramids. There are a spread of Fe–As bond distances ranging from 2.37–2.40 Å. In the fourteenth Fe+2.05+ site, Fe+2.05+ is bonded to four As3- atoms to form FeAs4 tetrahedra that share corners with four FeAs4 tetrahedra, corners with eleven LiAs5 trigonal bipyramids, edges with four FeAs4 tetrahedra, and edges with four LiAs5 trigonal bipyramids. There are a spread of Fe–As bond distances ranging from 2.35–2.40 Å. In the fifteenth Fe+2.05+ site, Fe+2.05+ is bonded to four As3- atoms to form FeAs4 tetrahedra that share corners with four FeAs4 tetrahedra, corners with twelve LiAs5 trigonal bipyramids, edges with four FeAs4 tetrahedra, and edges with three LiAs5 trigonal bipyramids. There are a spread of Fe–As bond distances ranging from 2.36–2.39 Å. In the sixteenth Fe+2.05+ site, Fe+2.05+ is bonded to four As3- atoms to form FeAs4 tetrahedra that share corners with four FeAs4 tetrahedra, corners with

36 MATERIALS SCIENCE↗

Materials Data on Rb16Sn16F47 by Materials Project

Rb16Sn16F47 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are sixteen inequivalent Rb sites. In the first Rb site, Rb is bonded in a 7-coordinate geometry to seven F atoms. There are a spread of Rb–F bond distances ranging from 2.82–2.91 Å. In the second Rb site, Rb is bonded in a 9-coordinate geometry to nine F atoms. There are a spread of Rb–F bond distances ranging from 2.87–3.24 Å. In the third Rb site, Rb is bonded in a 9-coordinate geometry to nine F atoms. There are a spread of Rb–F bond distances ranging from 2.88–3.26 Å. In the fourth Rb site, Rb is bonded in a 7-coordinate geometry to eight F atoms. There are a spread of Rb–F bond distances ranging from 2.82–3.37 Å. In the fifth Rb site, Rb is bonded in a 7-coordinate geometry to seven F atoms. There are a spread of Rb–F bond distances ranging from 2.77–3.32 Å. In the sixth Rb site, Rb is bonded in a 9-coordinate geometry to nine F atoms. There are a spread of Rb–F bond distances ranging from 2.86–3.22 Å. In the seventh Rb site, Rb is bonded in a 9-coordinate geometry to nine F atoms. There are a spread of Rb–F bond distances ranging from 2.82–3.22 Å. In the eighth Rb site, Rb is bonded in a 7-coordinate geometry to seven F atoms. There are a spread of Rb–F bond distances ranging from 2.78–2.91 Å. In the ninth Rb site, Rb is bonded in a 7-coordinate geometry to seven F atoms. There are a spread of Rb–F bond distances ranging from 2.77–2.91 Å. In the tenth Rb site, Rb is bonded in a 9-coordinate geometry to nine F atoms. There are a spread of Rb–F bond distances ranging from 2.82–3.17 Å. In the eleventh Rb site, Rb is bonded in a 9-coordinate geometry to nine F atoms. There are a spread of Rb–F bond distances ranging from 2.85–3.21 Å. In the twelfth Rb site, Rb is bonded in a 7-coordinate geometry to seven F atoms. There are a spread of Rb–F bond distances ranging from 2.78–3.31 Å. In the thirteenth Rb site, Rb is bonded in a 7-coordinate geometry to seven F atoms. There are a spread of Rb–F bond distances ranging from 2.79–2.89 Å. In the fourteenth Rb site, Rb is bonded in a 9-coordinate geometry to nine F atoms. There are a spread of Rb–F bond distances ranging from 2.82–3.22 Å. In the fifteenth Rb site, Rb is bonded in a 9-coordinate geometry to nine F atoms. There are a spread of Rb–F bond distances ranging from 2.88–3.21 Å. In the sixteenth Rb site, Rb is bonded in a 7-coordinate geometry to seven F atoms. There are a spread of Rb–F bond distances ranging from 2.80–2.95 Å. There are sixteen inequivalent Sn sites. In the first Sn site, Sn is bonded in a distorted rectangular see-saw-like geometry to four F atoms. There are a spread of Sn–F bond distances ranging from 2.09–2.30 Å. In the second Sn site, Sn is bonded in a distorted T-shaped geometry to three F atoms. There are a spread of Sn–F bond distances ranging from 2.10–2.41 Å. In the third Sn site, Sn is bonded in a distorted rectangular see-saw-like geometry to four F atoms. There are a spread of Sn–F bond distances ranging from 2.07–2.35 Å. In the fourth Sn site, Sn is bonded in a distorted rectangular see-saw-like geometry to four F atoms. There are a spread of Sn–F bond distances ranging from 2.09–2.31 Å. In the fifth Sn site, Sn is bonded in a distorted rectangular see-saw-like geometry to four F atoms. There are a spread of Sn–F bond distances ranging from 2.09–2.31 Å. In the sixth Sn site, Sn is bonded in a distorted rectangular see-saw-like geometry to four F atoms. There are a spread of Sn–F bond distances ranging from 2.08–2.41 Å. In the seventh Sn site, Sn is bonded in a rectangular see-saw-like geometry to four F atoms. There are a spread of Sn–F bond distances ranging from 2.05–2.31 Å. In the eighth Sn site, Sn is bonded in a distorted rectangular see-saw-like geometry to four F atoms. There are a spread of Sn–F bond distances ranging from 2.09–2.27 Å. In the ninth Sn site, Sn is bonded in a distorted rectangular see-saw-like geometry to four F atoms. There are a spread of Sn–F bond distances ranging from 2.09–2.28 Å. In the tenth Sn site, Sn is bonded in a rectangular see-saw-like geometry to four F atoms. There are a spread of Sn–F bond distances ranging from 2.05–2.32 Å. In the eleventh Sn site, Sn is bonded in a distorted rectangular see-saw-like geometry to four F atoms. There are a spread of Sn–F bond distances ranging from 2.08–2.35 Å. In the twelfth Sn site, Sn is bonded in a distorted rectangular see-saw-like geometry to four F atoms. There are a spread of Sn–F bond distances ranging from 2.10–2.29 Å. In the thirteenth Sn site, Sn is bonded in a distorted rectangular see-saw-like geometry to four F atoms. There are a spread of Sn–F bond distances ranging from 2.09–2.29 Å. In the fourteenth Sn site, Sn is bonded in a distorted rectangular see-saw-like geometry to four F atoms. There are a spread of Sn–F bond distances ranging from 2.08–2.35 Å. In the fifteenth Sn site, Sn is bonded in a distorted rectangular see-saw-like geometry to four F atoms. There are a spread of Sn–F bond distances ranging from 2.05–2.34 Å. In the sixteenth Sn site, Sn is bonded in a distorted rectangular see-saw-like geometry to four F atoms. There are a spread of Sn–F bond distances ranging from 2.10–2.30 Å. There are forty-seven inequivalent F sites. In the first F site, F is bonded in a 1-coordinate geometry to three Rb and one Sn atom. In the second F site, F is bonded to two Rb and two Sn atoms to form distorted FRb2Sn2 trigonal pyramids that share corners with two FRb3Sn tetrahedra, a cornercorner with one FRb2Sn2 trigonal pyramid, and an edgeedge with one FRb3Sn tetrahedra. In the third F site, F is bonded in a 4-coordinate geometry to two Rb and two Sn atoms. In the fourth F site, F is bonded in a 4-coordinate geometry to three Rb and one Sn atom. In the fifth F site, F is bonded to three Rb and one Sn atom to form distorted FRb3Sn tetrahedra that share corners with three FRb3Sn tetrahedra and corners with two FRb2Sn2 trigonal pyramids. In the sixth F site, F is bonded in a 1-coordinate geometry to four Rb and one Sn atom. In the seventh F site, F is bonded to three Rb and one Sn atom to form distorted FRb3Sn tetrahedra that share a cornercorner with one FRb3Sn tetrahedra and corners with two FRb2Sn2 trigonal pyramids. In the eighth F site, F is bonded in a 4-coordinate geometry to three Rb and one Sn atom. In the ninth F site, F is bonded in a 4-coordinate geometry to two Rb and two Sn atoms. In the tenth F site, F is bonded in a 4-coordinate geometry to three Rb and one Sn atom. In the eleventh F site, F is bonded to two Rb and two Sn atoms to form distorted FRb2Sn2 trigonal pyramids that share corners with four FRb3Sn tetrahedra and a cornercorner with one FRb2Sn2 trigonal pyramid. In the twelfth F site, F is bonded in a distorted rectangular see-saw-like geometry to two Rb and two Sn atoms. In the thirteenth F site, F is bonded in a 1-coordinate geometry to three Rb and one Sn atom. In the fourteenth F site, F is bonded in a 4-coordinate geometry to two Rb and two Sn atoms. In the fifteenth F site, F is bonded in a 3-coordinate geometry to two Rb and one Sn atom. In the sixteenth F site, F is bonded in a 4-coordinate geometry to three Rb and one Sn atom. In the seventeenth F site, F is bonded to three Rb and one Sn atom to form distorted FRb3Sn tetrahedra that share corners with three FRb3Sn tetrahedra, a cornercorner with one FRb2Sn2 trigonal pyramid, and edges with two FRb2Sn2 tetrahedra. In the eighteenth F site, F is bonded in a 1-coordinate geometry to four Rb and one Sn atom. In the nineteenth F site, F is bonded in a 4-coordinate geometry to three Rb and one Sn atom. In the twentieth F site, F is bonded to three Rb and one Sn atom to form distorted FRb3Sn tetrahedra that share corners with two FRb3Sn tetrahedra and edges with three FRb2Sn2 tetrahedra. In the twenty-first F site, F is bonded in a distorted rectangular see-saw-like geometry to two Rb and two Sn atoms. In the twenty-second F site, F is bonded in a 5-coordinate geometry to four Rb and one Sn atom. In the twenty-third F site, F is bonded to two Rb and two Sn atoms to form distorted FRb2Sn2 tetrahedra that share corners with three FRb2Sn2 tetrahedra and edges with two FRb3Sn tetrahedra. In the twenty-fourth F site, F is bonded to two Rb and two Sn atoms to form distorted FRb2Sn2 tetrahedra that share corners with two FRb3Sn tetrahedra, a cornercorner with one FRb2Sn2 trigonal pyramid, and edges with two FRb3Sn tetrahedra. In the twenty-fifth F site, F is bonded in a 5-coordinate geometry to four Rb and one Sn atom. In the twenty-sixth F site, F is bonded in a distorted rectangular see-saw-like geometry to two Rb and two Sn atoms. In the twenty-seventh F site, F is bonded to three Rb and one Sn atom to form distorted FRb3Sn tetrahedra that share corners with two FRb2Sn2 tetrahedra and edges with three FRb3Sn tetrahedra. In the twenty-eighth F site, F is bonded in a 4-coordinate geometry to three Rb and one Sn atom. In the twenty-ninth F site, F is bonded in a 1-coordinate geometry to four Rb and one Sn atom. In the thirtieth F site, F is bonded to three Rb and one Sn atom to form distorted FRb3Sn tetrahedra that share corners with three FRb2Sn2 tetrahedra and edges with two FRb3Sn tetrahedra. In the thirty-first F site, F is bonded in a 4-coordinate geometry to three Rb and one Sn atom. In the thirty-second F site, F is bonded in a 3-coordinate geometry to two Rb and one Sn atom. In the thirty-third F site, F is bonded in a 4-coordinate geometry to two Rb and two Sn atoms. In the thirty-fourth F site, F is bonded in a 1-coordinate geometry to three Rb and one Sn atom. In the thirty-fifth F site, F is bonded in a distorted rectangular see-saw-like geometry to two Rb and two Sn atoms. In the thirty-sixth F site, F is bonded to two Rb and two Sn atoms to form distorted corner-sharing FRb2Sn2 tetrahedra. In the thirty-seventh F site, F is bonded in a 4-coordinate geometry to three Rb and one Sn atom. In the thirty-eighth F site, F is bonded in a 4-coordinate geometry to two Rb and two Sn atoms. In the thirty-ninth F site, F is bonded in a 4-coordinate geometry to three Rb and one Sn atom. In the fortieth F site, F is bonded to three Rb and one Sn atom to form a mixture of distorted corner and edge-sharing FRb3Sn tetrahedra. In the forty-first F site, F is bonded in a 1-coordinate geometry to four Rb and one Sn atom. In the forty-second F site, F is bonded in a 4-coordinate geometry to three Rb and one Sn atom. In the forty-third F site, F is bonded in a 4-coordinate geometry to three Rb and one Sn atom. In the forty-fourth F site, F is bonded in a 3-coordinate geometry to two Rb and one Sn atom. In the forty-fifth F site, F is bonded in a 4-coordinate geometry to two Rb and two Sn atoms. In the forty-sixth F site, F is bonded in a distorted rectangular see-saw-like geometry to two Rb and two Sn atoms. In the forty-seventh F site, F is bonded in a 1-coordinate geometry to four Rb and one Sn atom.

36 MATERIALS SCIENCE↗

Materials Data on MgSiO3 by Materials Project

MgSiO3 is Esseneite-derived structured and crystallizes in the monoclinic C2 space group. The structure is three-dimensional. there are eighteen inequivalent Mg2+ sites. In the first Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six SiO4 tetrahedra. There are a spread of Mg–O bond distances ranging from 2.02–2.07 Å. In the second Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six SiO4 tetrahedra. There are a spread of Mg–O bond distances ranging from 2.01–2.07 Å. In the third Mg2+ site, Mg2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Mg–O bond distances ranging from 2.18–2.44 Å. In the fourth Mg2+ site, Mg2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Mg–O bond distances ranging from 2.08–2.62 Å. In the fifth Mg2+ site, Mg2+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Mg–O bond distances ranging from 2.13–2.47 Å. In the sixth Mg2+ site, Mg2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Mg–O bond distances ranging from 2.17–2.61 Å. In the seventh Mg2+ site, Mg2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Mg–O bond distances ranging from 2.19–2.48 Å. In the eighth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six SiO4 tetrahedra. There are a spread of Mg–O bond distances ranging from 2.03–2.06 Å. In the ninth Mg2+ site, Mg2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Mg–O bond distances ranging from 2.22–2.46 Å. In the tenth Mg2+ site, Mg2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Mg–O bond distances ranging from 2.18–2.58 Å. In the eleventh Mg2+ site, Mg2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Mg–O bond distances ranging from 2.18–2.48 Å. In the twelfth Mg2+ site, Mg2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Mg–O bond distances ranging from 2.11–2.63 Å. In the thirteenth Mg2+ site, Mg2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Mg–O bond distances ranging from 2.13–2.54 Å. In the fourteenth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six SiO4 tetrahedra. There are a spread of Mg–O bond distances ranging from 1.99–2.04 Å. In the fifteenth Mg2+ site, Mg2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Mg–O bond distances ranging from 2.17–2.50 Å. In the sixteenth Mg2+ site, Mg2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Mg–O bond distances ranging from 2.12–2.60 Å. In the seventeenth Mg2+ site, Mg2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Mg–O bond distances ranging from 2.13–2.54 Å. In the eighteenth Mg2+ site, Mg2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Mg–O bond distances ranging from 2.17–2.43 Å. There are eighteen inequivalent Si4+ sites. In the first Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two MgO6 octahedra and corners with two SiO6 octahedra. The corner-sharing octahedra tilt angles range from 45–54°. There are a spread of Si–O bond distances ranging from 1.63–1.69 Å. In the second Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one SiO6 octahedra and corners with three MgO6 octahedra. The corner-sharing octahedra tilt angles range from 51–59°. There are a spread of Si–O bond distances ranging from 1.63–1.70 Å. In the third Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two MgO6 octahedra and corners with two SiO6 octahedra. The corner-sharing octahedra tilt angles range from 43–54°. There are a spread of Si–O bond distances ranging from 1.63–1.68 Å. In the fourth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two MgO6 octahedra and corners with two SiO6 octahedra. The corner-sharing octahedra tilt angles range from 46–56°. There are a spread of Si–O bond distances ranging from 1.63–1.70 Å. In the fifth Si4+ site, Si4+ is bonded to six O2- atoms to form corner-sharing SiO6 octahedra. There are a spread of Si–O bond distances ranging from 1.78–1.82 Å. In the sixth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one MgO6 octahedra and corners with three SiO6 octahedra. The corner-sharing octahedra tilt angles range from 42–46°. There are a spread of Si–O bond distances ranging from 1.60–1.68 Å. In the seventh Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two MgO6 octahedra and corners with two SiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–56°. There are a spread of Si–O bond distances ranging from 1.63–1.68 Å. In the eighth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two MgO6 octahedra and corners with two SiO6 octahedra. The corner-sharing octahedra tilt angles range from 46–57°. There are a spread of Si–O bond distances ranging from 1.63–1.69 Å. In the ninth Si4+ site, Si4+ is bonded to six O2- atoms to form corner-sharing SiO6 octahedra. There are a spread of Si–O bond distances ranging from 1.81–1.83 Å. In the tenth Si4+ site, Si4+ is bonded to six O2- atoms to form corner-sharing SiO6 octahedra. There are a spread of Si–O bond distances ranging from 1.77–1.84 Å. In the eleventh Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two MgO6 octahedra and corners with two SiO6 octahedra. The corner-sharing octahedra tilt angles range from 43–53°. There are a spread of Si–O bond distances ranging from 1.63–1.69 Å. In the twelfth Si4+ site, Si4+ is bonded to four O2- atoms to form corner-sharing SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 40–41°. There is two shorter (1.65 Å) and two longer (1.66 Å) Si–O bond length. In the thirteenth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two MgO6 octahedra and corners with two SiO6 octahedra. The corner-sharing octahedra tilt angles range from 44–53°. There are a spread of Si–O bond distances ranging from 1.62–1.69 Å. In the fourteenth Si4+ site, Si4+ is bonded to six O2- atoms to form corner-sharing SiO6 octahedra. There are a spread of Si–O bond distances ranging from 1.79–1.82 Å. In the fifteenth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two MgO6 octahedra and corners with two SiO6 octahedra. The corner-sharing octahedra tilt angles range from 46–57°. There are a spread of Si–O bond distances ranging from 1.63–1.70 Å. In the sixteenth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two equivalent MgO6 octahedra and corners with two equivalent SiO6 octahedra. The corner-sharing octahedra tilt angles range from 45–55°. There is two shorter (1.63 Å) and two longer (1.68 Å) Si–O bond length. In the seventeenth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with four MgO6 octahedra. The corner-sharing octahedral tilt angles are 60°. All Si–O bond lengths are 1.65 Å. In the eighteenth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two equivalent MgO6 octahedra and corners with two equivalent SiO6 octahedra. The corner-sharing octahedra tilt angles range from 45–54°. There is two shorter (1.63 Å) and two longer (1.68 Å) Si–O bond length. There are forty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to three Mg2+ and one Si4+ atom. In the second O2- site, O2- is bonded to three Mg2+ and one Si4+ atom to form a mixture of distorted edge and corner-sharing OMg3Si trigonal pyramids. In the third O2- site, O2- is bonded to three Mg2+ and one Si4+ atom to form a mixture of distorted edge and corner-sharing OMg3Si trigonal pyramids. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to three Mg2+ and one Si4+ atom. In the fifth O2- site, O2- is bonded in a 4-coordinate geometry to two Mg2+ and two Si4+ atoms. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to three Mg2+ and one Si4+ atom. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to three Mg2+ and one Si4+ atom. In the eighth O2- site, O2- is bonded in a 3-coordinate geometry to one Mg2+ and two Si4+ atoms. In the ninth O2- site, O2- is bonded in a 4-coordinate geometry to two Mg2+ and two Si4+ atoms. In the tenth O2- site, O2- is bonded in a 4-coordinate geometry to two Mg2+ and two Si4+ atoms. In the eleventh O2- site, O2- is bonded in a 4-coordinate geometry to three Mg2+ and one Si4+ atom. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to two Mg2+ and two Si4+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Mg2+ and one Si4+ atom. In the fourteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Mg2+ and two Si4+ atoms. In the fifteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Mg2+ and two Si4+ atoms. In the sixteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Mg2+ and two Si4+ atoms. In the seventeenth O2- site, O2- is bonded in a 4-coordinate geometry to three Mg2+ and one Si4+ atom. In the eighteenth O2- site, O2- is bonded to three Mg2+ and one Si4+ atom to form a mixture of distorted edge and corner-sharing OMg3Si trigonal pyramids. In the nineteenth O2- site, O2- is bonded to three Mg2+ and one Si4+ atom to form a mixture of distorted edge and corner-sharing OMg3Si trigonal pyramids. In the twentieth O2- site, O2- is bonded in a 4-coordinate geometry to two Mg2+ and two Si4+ atoms. In the twenty-first O2- site, O2- is bonded in a 4-coordinate geometry to two Mg2+ and two Si4+ atoms. In the twenty-second O2- site, O2- is bonded to three Mg2+ and one Si4+ atom to form a mixture of distorted edge and corner-sharing OMg3Si trigonal pyramids. In the twenty-third O2- site, O2- is bonded to three Mg2+ and one Si4+ atom to form a mixture of distorted edge and corner-sharing OMg3Si tetrahedra. In the twenty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to two Mg2+ and two Si4+ atoms. In the twenty-fifth O2- site, O2- is bonded in a 4-coordinate geometry to three Mg2+ and one Si4+ atom. In the twenty-sixth O2- site, O2- is bonded in a 4-coordinate geometry to three Mg2+ and one Si4+ atom. In the twenty-seventh O2- site, O2- is bonded in a 2-coordinate geometry to two Mg2+ and two Si4+ atoms. In the twenty-eighth O2- site, O2- is bonded in a 2-coordinate geometry to two Mg2+ and two Si4+ atoms. In the twenty-ninth O2- site, O2- is bonded in a 4-coordinate geometry to two Mg2+ and two Si4+ atoms. In the thirtieth O2- site, O2- is bonded to three Mg2+ and one Si4+ atom to form a mixture of distorted edge and corner-sharing OMg3Si trigonal pyramids. In the thirty-first O2- site, O2- is bonded in a 4-coordinate geometry to two Mg2+ and two Si4+ atoms. In the thirty-second O2- site, O2- is bonded in a 4-coordinate geometry to three Mg2+ and one Si4+ atom. In the thirty-third O2- site, O2- is bonded in a 4-coordinate geometry to two Mg2+ and two Si4+ atoms. In the thirty-fourth O2- site, O2- is bonded to three Mg2+ and one Si4+ atom to form distorted corner-sharing OMg3Si trigonal pyramids. In the thirty-fifth O2- site, O2- is bonded in a 4-coordinate geometry to two Mg2+ and two Si4+ atoms. In the thirty-sixth O2- site, O2- is bonded to three Mg2+ and one Si4+ atom to form a mixture of distorted edge and corner-sharing OMg3Si trigonal pyramid

36 MATERIALS SCIENCE↗

Materials Data on MgAl2O4 by Materials Project

MgAl2O4 is Spinel-like structured and crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are fourteen inequivalent Mg2+ sites. In the first Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with two equivalent MgO6 octahedra and corners with ten AlO6 octahedra. The corner-sharing octahedra tilt angles range from 52–65°. There are a spread of Mg–O bond distances ranging from 1.92–2.01 Å. In the second Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with two AlO4 tetrahedra, corners with four MgO4 tetrahedra, and edges with six AlO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.00–2.09 Å. In the third Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with three MgO6 octahedra and corners with nine AlO6 octahedra. The corner-sharing octahedra tilt angles range from 56–62°. There are a spread of Mg–O bond distances ranging from 1.92–2.00 Å. In the fourth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with three MgO4 tetrahedra, corners with three AlO4 tetrahedra, and edges with six AlO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.01–2.08 Å. In the fifth Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with three MgO6 octahedra and corners with nine AlO6 octahedra. The corner-sharing octahedra tilt angles range from 56–62°. There are a spread of Mg–O bond distances ranging from 1.91–1.98 Å. In the sixth Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share a cornercorner with one MgO6 octahedra and corners with eleven AlO6 octahedra. The corner-sharing octahedra tilt angles range from 57–66°. There are a spread of Mg–O bond distances ranging from 1.97–2.00 Å. In the seventh Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with three MgO4 tetrahedra, corners with three AlO4 tetrahedra, and edges with six AlO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.01–2.08 Å. In the eighth Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with twelve AlO6 octahedra. The corner-sharing octahedra tilt angles range from 58–62°. There are a spread of Mg–O bond distances ranging from 1.93–1.98 Å. In the ninth Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with three MgO6 octahedra and corners with nine AlO6 octahedra. The corner-sharing octahedra tilt angles range from 56–62°. There is three shorter (1.93 Å) and one longer (1.98 Å) Mg–O bond length. In the tenth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with two equivalent AlO4 tetrahedra, corners with four MgO4 tetrahedra, and edges with six AlO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.00–2.09 Å. In the eleventh Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with two equivalent MgO6 octahedra and corners with ten AlO6 octahedra. The corner-sharing octahedra tilt angles range from 55–63°. There are a spread of Mg–O bond distances ranging from 1.93–1.98 Å. In the twelfth Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with twelve AlO6 octahedra. The corner-sharing octahedra tilt angles range from 58–62°. There are a spread of Mg–O bond distances ranging from 1.93–1.98 Å. In the thirteenth Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with twelve AlO6 octahedra. The corner-sharing octahedra tilt angles range from 56–61°. There are a spread of Mg–O bond distances ranging from 1.94–2.01 Å. In the fourteenth Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with twelve AlO6 octahedra. The corner-sharing octahedra tilt angles range from 57–63°. There is three shorter (1.95 Å) and one longer (2.04 Å) Mg–O bond length. There are twenty-one inequivalent Al3+ sites. In the first Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with three MgO6 octahedra and corners with nine AlO6 octahedra. The corner-sharing octahedra tilt angles range from 55–61°. There are a spread of Al–O bond distances ranging from 1.82–1.89 Å. In the second Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with two AlO4 tetrahedra, corners with four MgO4 tetrahedra, edges with two equivalent MgO6 octahedra, and edges with four AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.85–2.03 Å. In the third Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with three equivalent MgO4 tetrahedra, corners with three equivalent AlO4 tetrahedra, edges with two MgO6 octahedra, and edges with four AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.89–2.01 Å. In the fourth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with three MgO6 octahedra and corners with nine AlO6 octahedra. The corner-sharing octahedra tilt angles range from 55–60°. There are a spread of Al–O bond distances ranging from 1.83–1.89 Å. In the fifth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with three MgO4 tetrahedra, corners with three AlO4 tetrahedra, edges with two equivalent MgO6 octahedra, and edges with four AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.86–2.06 Å. In the sixth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with three equivalent MgO4 tetrahedra, corners with three equivalent AlO4 tetrahedra, edges with two MgO6 octahedra, and edges with four AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.89–2.01 Å. In the seventh Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with three MgO6 octahedra and corners with nine AlO6 octahedra. The corner-sharing octahedra tilt angles range from 55–60°. There are a spread of Al–O bond distances ranging from 1.82–1.88 Å. In the eighth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with three MgO4 tetrahedra, corners with three AlO4 tetrahedra, edges with two equivalent MgO6 octahedra, and edges with four AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.86–2.07 Å. In the ninth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with three equivalent MgO4 tetrahedra, corners with three equivalent AlO4 tetrahedra, edges with two MgO6 octahedra, and edges with four AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.88–2.02 Å. In the tenth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with two equivalent AlO4 tetrahedra, corners with four MgO4 tetrahedra, edges with two equivalent MgO6 octahedra, and edges with four AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.87–2.08 Å. In the eleventh Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six MgO4 tetrahedra, an edgeedge with one MgO6 octahedra, and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.88–1.98 Å. In the twelfth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six MgO4 tetrahedra and edges with six AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.92–1.97 Å. In the thirteenth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six MgO4 tetrahedra and edges with six AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.91–1.97 Å. In the fourteenth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six MgO4 tetrahedra and edges with six AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.89–1.98 Å. In the fifteenth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six MgO4 tetrahedra and edges with six AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.91–1.97 Å. In the sixteenth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with two equivalent AlO4 tetrahedra, corners with four MgO4 tetrahedra, and edges with six AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.91–1.99 Å. In the seventeenth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six MgO4 tetrahedra and edges with six AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.91–1.96 Å. In the eighteenth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six MgO4 tetrahedra and edges with six AlO6 octahedra. There is three shorter (1.90 Å) and three longer (1.97 Å) Al–O bond length. In the nineteenth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with two equivalent AlO4 tetrahedra, corners with four MgO4 tetrahedra, and edges with six AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.91–2.01 Å. In the twentieth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with three equivalent MgO4 tetrahedra, corners with three equivalent AlO4 tetrahedra, an edgeedge with one MgO6 octahedra, and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.83–2.08 Å. In the twenty-first Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share a cornercorner with one MgO6 octahedra and corners with eleven AlO6 octahedra. The corner-sharing octahedra tilt angles range from 53–61°. There are a spread of Al–O bond distances ranging from 1.75–1.88 Å. There are forty-two inequivalent O2- sites. In the first O2- site, O2- is bonded to one Mg2+ and three Al3+ atoms to form a mixture of distorted edge and corner-sharing OMgAl3 trigonal pyramids. In the second O2- site, O2- is bonded to one Mg2+ and three Al3+ atoms to form a mixture of distorted edge and corner-sharing OMgAl3 trigonal pyramids. In the third O2- site, O2- is bonded to one Mg2+ and three Al3+ atoms to form a mixture of distorted edge and corner-sharing OMgAl3 trigonal pyramids. In the fourth O2- site, O2- is bonded to four Al3+ atoms to form distorted OAl4 trigonal pyramids that share corners with nine OMgAl3 trigonal pyramids, an edgeedge with one OMgAl3 tetrahedra, and edges with two equivalent OAl4 trigonal pyramids. In the fifth O2- site, O2- is bonded to one Mg2+ and three Al3+ atoms to form OMgAl3 tetrahedra that share corners with twelve OMgAl3 trigonal pyramids and edges with three OAl4 trigonal pyramids. In the sixth O2- site, O2- is bonded to four Al3+ atoms to form distorted OAl4 trigonal pyramids that share corners with nine OMgAl3 trigonal pyramids, an edgeedge with one OMgAl3 tetrahedra, and edges with two OAl4 trigonal pyramids. In the seventh O2- site, O2- is bonded to one Mg2+ and three Al3+ atoms to form a mixture of distorted edge and corner-sharing OMgAl3 tetrahedra. In the eighth O2- site, O2- is bonded to one Mg2+ and three Al3+ atoms to form distorted OMgAl3 trigonal pyramids that share corners with three equivalent OMgAl3 tetrahedra, corners with seven OAl4 trigonal pyramids, and edges with three OMgAl3 trigonal pyramids. In the ninth O2- site, O2- is bonded to one Mg2+ and three Al3+ atoms to form a mixture of distorted edge and corner-sharing OMgAl3 trigonal pyramids. In the tenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Mg2+ and two Al3+ atoms. In the eleventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Mg2+ and three Al3+ atoms. In t

36 MATERIALS SCIENCE↗

Materials Data on Na2Al17Si11B7(H3O31)2 by Materials Project

Na2Al17B7Si11(H3O31)2 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are two inequivalent Na sites. In the first Na site, Na is bonded in a 10-coordinate geometry to ten O atoms. There are a spread of Na–O bond distances ranging from 2.60–2.86 Å. In the second Na site, Na is bonded in a 9-coordinate geometry to nine O atoms. There are a spread of Na–O bond distances ranging from 2.32–2.98 Å. There are seventeen inequivalent Al sites. In the first Al site, Al is bonded to six O atoms to form AlO6 octahedra that share a cornercorner with one AlO6 octahedra, a cornercorner with one BO4 tetrahedra, corners with two SiO4 tetrahedra, and edges with three AlO6 octahedra. The corner-sharing octahedral tilt angles are 54°. There are a spread of Al–O bond distances ranging from 1.86–2.10 Å. In the second Al site, Al is bonded to six O atoms to form AlO6 octahedra that share a cornercorner with one AlO6 octahedra, corners with three SiO4 tetrahedra, and edges with three AlO6 octahedra. The corner-sharing octahedral tilt angles are 56°. There are a spread of Al–O bond distances ranging from 1.88–2.03 Å. In the third Al site, Al is bonded to six O atoms to form AlO6 octahedra that share corners with two SiO4 tetrahedra and edges with four AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.89–2.04 Å. In the fourth Al site, Al is bonded to six O atoms to form AlO6 octahedra that share corners with two SiO4 tetrahedra and edges with four AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.87–2.06 Å. In the fifth Al site, Al is bonded to six O atoms to form AlO6 octahedra that share a cornercorner with one AlO6 octahedra, a cornercorner with one BO4 tetrahedra, corners with two SiO4 tetrahedra, and edges with three AlO6 octahedra. The corner-sharing octahedral tilt angles are 56°. There are a spread of Al–O bond distances ranging from 1.88–2.03 Å. In the sixth Al site, Al is bonded to six O atoms to form AlO6 octahedra that share a cornercorner with one AlO6 octahedra, corners with three SiO4 tetrahedra, and edges with three AlO6 octahedra. The corner-sharing octahedral tilt angles are 54°. There are a spread of Al–O bond distances ranging from 1.86–2.02 Å. In the seventh Al site, Al is bonded to six O atoms to form AlO6 octahedra that share a cornercorner with one AlO6 octahedra, corners with three SiO4 tetrahedra, and edges with two AlO6 octahedra. The corner-sharing octahedral tilt angles are 51°. There are a spread of Al–O bond distances ranging from 1.89–1.96 Å. In the eighth Al site, Al is bonded to six O atoms to form distorted AlO6 octahedra that share a cornercorner with one AlO6 octahedra, corners with three SiO4 tetrahedra, and edges with two AlO6 octahedra. The corner-sharing octahedral tilt angles are 47°. There are a spread of Al–O bond distances ranging from 1.78–2.09 Å. In the ninth Al site, Al is bonded to six O atoms to form AlO6 octahedra that share a cornercorner with one BO4 tetrahedra, a cornercorner with one SiO4 tetrahedra, and edges with four AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.88–2.06 Å. In the tenth Al site, Al is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Al–O bond distances ranging from 1.78–2.43 Å. In the eleventh Al site, Al is bonded to six O atoms to form AlO6 octahedra that share a cornercorner with one AlO6 octahedra, corners with three SiO4 tetrahedra, and edges with two AlO6 octahedra. The corner-sharing octahedral tilt angles are 47°. There are a spread of Al–O bond distances ranging from 1.78–2.07 Å. In the twelfth Al site, Al is bonded to six O atoms to form AlO6 octahedra that share a cornercorner with one AlO6 octahedra, corners with three SiO4 tetrahedra, and edges with two AlO6 octahedra. The corner-sharing octahedral tilt angles are 51°. There are a spread of Al–O bond distances ranging from 1.86–1.94 Å. In the thirteenth Al site, Al is bonded to six O atoms to form AlO6 octahedra that share a cornercorner with one AlO6 octahedra, corners with three SiO4 tetrahedra, and edges with three AlO6 octahedra. The corner-sharing octahedral tilt angles are 54°. There are a spread of Al–O bond distances ranging from 1.86–2.04 Å. In the fourteenth Al site, Al is bonded to six O atoms to form AlO6 octahedra that share a cornercorner with one AlO6 octahedra, a cornercorner with one BO4 tetrahedra, corners with two SiO4 tetrahedra, and edges with three AlO6 octahedra. The corner-sharing octahedral tilt angles are 54°. There are a spread of Al–O bond distances ranging from 1.89–2.03 Å. In the fifteenth Al site, Al is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Al–O bond distances ranging from 1.78–2.40 Å. In the sixteenth Al site, Al is bonded to six O atoms to form AlO6 octahedra that share a cornercorner with one AlO6 octahedra, corners with three SiO4 tetrahedra, and edges with two AlO6 octahedra. The corner-sharing octahedral tilt angles are 52°. There are a spread of Al–O bond distances ranging from 1.87–1.96 Å. In the seventeenth Al site, Al is bonded to six O atoms to form AlO6 octahedra that share a cornercorner with one AlO6 octahedra, corners with three SiO4 tetrahedra, and edges with two AlO6 octahedra. The corner-sharing octahedral tilt angles are 52°. There are a spread of Al–O bond distances ranging from 1.89–1.97 Å. There are seven inequivalent B sites. In the first B site, B is bonded in a trigonal planar geometry to three O atoms. There are a spread of B–O bond distances ranging from 1.37–1.39 Å. In the second B site, B is bonded to four O atoms to form BO4 tetrahedra that share corners with four AlO6 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 50–55°. There are a spread of B–O bond distances ranging from 1.48–1.52 Å. In the third B site, B is bonded in a trigonal planar geometry to three O atoms. There is one shorter (1.35 Å) and two longer (1.40 Å) B–O bond length. In the fourth B site, B is bonded in a trigonal planar geometry to three O atoms. There is two shorter (1.38 Å) and one longer (1.39 Å) B–O bond length. In the fifth B site, B is bonded in a trigonal planar geometry to three O atoms. There is two shorter (1.37 Å) and one longer (1.40 Å) B–O bond length. In the sixth B site, B is bonded in a trigonal planar geometry to three O atoms. There is one shorter (1.35 Å) and two longer (1.40 Å) B–O bond length. In the seventh B site, B is bonded in a trigonal planar geometry to three O atoms. There is one shorter (1.37 Å) and two longer (1.39 Å) B–O bond length. There are eleven inequivalent Si sites. In the first Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with four AlO6 octahedra, a cornercorner with one BO4 tetrahedra, and a cornercorner with one SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 50–57°. There are a spread of Si–O bond distances ranging from 1.61–1.67 Å. In the second Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with three AlO6 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 45–56°. There are a spread of Si–O bond distances ranging from 1.57–1.66 Å. In the third Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with three AlO6 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 48–53°. There are a spread of Si–O bond distances ranging from 1.61–1.66 Å. In the fourth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with three AlO6 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 52–53°. There are a spread of Si–O bond distances ranging from 1.62–1.66 Å. In the fifth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with four AlO6 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 50–57°. There are a spread of Si–O bond distances ranging from 1.62–1.65 Å. In the sixth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with three AlO6 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 52–53°. There are a spread of Si–O bond distances ranging from 1.62–1.66 Å. In the seventh Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with four AlO6 octahedra, a cornercorner with one BO4 tetrahedra, and a cornercorner with one SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 51–63°. There are a spread of Si–O bond distances ranging from 1.62–1.65 Å. In the eighth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with three AlO6 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 45–57°. There are a spread of Si–O bond distances ranging from 1.57–1.66 Å. In the ninth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with three AlO6 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 48–53°. There are a spread of Si–O bond distances ranging from 1.61–1.66 Å. In the tenth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with four AlO6 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 50–57°. There are a spread of Si–O bond distances ranging from 1.61–1.64 Å. In the eleventh Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with four AlO6 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 51–58°. There are a spread of Si–O bond distances ranging from 1.62–1.65 Å. There are six inequivalent H sites. In the first H site, H is bonded in a single-bond geometry to one O atom. The H–O bond length is 0.98 Å. In the second H site, H is bonded in a single-bond geometry to one O atom. The H–O bond length is 0.98 Å. In the third H site, H is bonded in a single-bond geometry to one O atom. The H–O bond length is 0.98 Å. In the fourth H site, H is bonded in a single-bond geometry to one O atom. The H–O bond length is 0.97 Å. In the fifth H site, H is bonded in a single-bond geometry to one O atom. The H–O bond length is 0.98 Å. In the sixth H site, H is bonded in a single-bond geometry to one O atom. The H–O bond length is 0.98 Å. There are sixty-two inequivalent O sites. In the first O site, O is bonded in a trigonal planar geometry to two Al and one Si atom. In the second O site, O is bonded in a trigonal planar geometry to two Al and one B atom. In the third O site, O is bonded in a distorted trigonal planar geometry to two Al and one Si atom. In the fourth O site, O is bonded in a distorted trigonal planar geometry to two Al and one Si atom. In the fifth O site, O is bonded in a distorted trigonal planar geometry to two Al and one B atom. In the sixth O site, O is bonded in a distorted trigonal planar geometry to two Al and one B atom. In the seventh O site, O is bonded in a bent 150 degrees geometry to one Na, one B, and one Si atom. In the eighth O site, O is bonded in a 2-coordinate geometry to one Na and two Si atoms. In the ninth O site, O is bonded in a trigonal planar geometry to two Al and one Si atom. In the tenth O site, O is bonded in a trigonal planar geometry to two Al and one Si atom. In the eleventh O site, O is bonded in a distorted bent 120 degrees geometry to one Na and two Si atoms. In the twelfth O site, O is bonded in a distorted bent 120 degrees geometry to one Na and two Si atoms. In the thirteenth O site, O is bonded in a distorted single-bond geometry to three Al and one H atom. In the fourteenth O site, O is bonded in a distorted single-bond geometry

36 MATERIALS SCIENCE↗

Materials Data on Sr24Ta8O43 by Materials Project

Sr24Ta8O43 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twenty-four inequivalent Sr2+ sites. In the first Sr2+ site, Sr2+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Sr–O bond distances ranging from 2.51–2.87 Å. In the second Sr2+ site, Sr2+ is bonded to five O2- atoms to form SrO5 square pyramids that share corners with three equivalent TaO6 octahedra and corners with two equivalent TaO5 square pyramids. The corner-sharing octahedra tilt angles range from 26–37°. There are a spread of Sr–O bond distances ranging from 2.33–2.59 Å. In the third Sr2+ site, Sr2+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Sr–O bond distances ranging from 2.52–2.63 Å. In the fourth Sr2+ site, Sr2+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Sr–O bond distances ranging from 2.54–2.91 Å. In the fifth Sr2+ site, Sr2+ is bonded to five O2- atoms to form distorted SrO5 square pyramids that share corners with three equivalent TaO6 octahedra and corners with two equivalent TaO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 19–33°. There are a spread of Sr–O bond distances ranging from 2.36–2.73 Å. In the sixth Sr2+ site, Sr2+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Sr–O bond distances ranging from 2.45–2.96 Å. In the seventh Sr2+ site, Sr2+ is bonded in a 5-coordinate geometry to six O2- atoms. There are a spread of Sr–O bond distances ranging from 2.39–3.03 Å. In the eighth Sr2+ site, Sr2+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sr–O bond distances ranging from 2.50–3.03 Å. In the ninth Sr2+ site, Sr2+ is bonded to five O2- atoms to form distorted SrO5 square pyramids that share corners with five TaO5 trigonal bipyramids. There are a spread of Sr–O bond distances ranging from 2.45–2.75 Å. In the tenth Sr2+ site, Sr2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Sr–O bond distances ranging from 2.53–3.17 Å. In the eleventh Sr2+ site, Sr2+ is bonded to six O2- atoms to form distorted SrO6 pentagonal pyramids that share corners with three equivalent TaO6 octahedra and corners with three equivalent TaO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 15–19°. There are a spread of Sr–O bond distances ranging from 2.38–2.81 Å. In the twelfth Sr2+ site, Sr2+ is bonded in a 4-coordinate geometry to six O2- atoms. There are a spread of Sr–O bond distances ranging from 2.42–3.14 Å. In the thirteenth Sr2+ site, Sr2+ is bonded to six O2- atoms to form distorted SrO6 pentagonal pyramids that share corners with three equivalent TaO6 octahedra, a cornercorner with one SrO6 pentagonal pyramid, and corners with three equivalent TaO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 8–17°. There are a spread of Sr–O bond distances ranging from 2.36–2.71 Å. In the fourteenth Sr2+ site, Sr2+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sr–O bond distances ranging from 2.60–2.96 Å. In the fifteenth Sr2+ site, Sr2+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sr–O bond distances ranging from 2.49–2.74 Å. In the sixteenth Sr2+ site, Sr2+ is bonded in a 5-coordinate geometry to eight O2- atoms. There are a spread of Sr–O bond distances ranging from 2.54–3.18 Å. In the seventeenth Sr2+ site, Sr2+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sr–O bond distances ranging from 2.49–2.81 Å. In the eighteenth Sr2+ site, Sr2+ is bonded to six O2- atoms to form distorted SrO6 pentagonal pyramids that share corners with three equivalent TaO6 octahedra, a cornercorner with one SrO6 pentagonal pyramid, and corners with three equivalent TaO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 8–12°. There are a spread of Sr–O bond distances ranging from 2.39–2.75 Å. In the nineteenth Sr2+ site, Sr2+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sr–O bond distances ranging from 2.52–2.85 Å. In the twentieth Sr2+ site, Sr2+ is bonded to six O2- atoms to form distorted SrO6 pentagonal pyramids that share corners with three equivalent TaO6 octahedra, a cornercorner with one SrO7 pentagonal bipyramid, a cornercorner with one SrO6 pentagonal pyramid, corners with three equivalent TaO5 trigonal bipyramids, an edgeedge with one SrO7 pentagonal bipyramid, and a faceface with one SrO7 pentagonal bipyramid. The corner-sharing octahedra tilt angles range from 4–11°. There are a spread of Sr–O bond distances ranging from 2.34–2.74 Å. In the twenty-first Sr2+ site, Sr2+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sr–O bond distances ranging from 2.47–2.96 Å. In the twenty-second Sr2+ site, Sr2+ is bonded to seven O2- atoms to form distorted SrO7 pentagonal bipyramids that share a cornercorner with one SrO6 pentagonal pyramid, edges with two SrO6 pentagonal pyramids, edges with two equivalent TaO5 trigonal bipyramids, a faceface with one TaO6 octahedra, and a faceface with one SrO6 pentagonal pyramid. There are a spread of Sr–O bond distances ranging from 2.50–2.71 Å. In the twenty-third Sr2+ site, Sr2+ is bonded to six O2- atoms to form distorted SrO6 pentagonal pyramids that share a cornercorner with one SrO6 pentagonal pyramid, corners with three equivalent TaO5 square pyramids, corners with three equivalent TaO5 trigonal bipyramids, and an edgeedge with one SrO7 pentagonal bipyramid. There are a spread of Sr–O bond distances ranging from 2.39–2.69 Å. In the twenty-fourth Sr2+ site, Sr2+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Sr–O bond distances ranging from 2.45–2.70 Å. There are eight inequivalent Ta+4.75+ sites. In the first Ta+4.75+ site, Ta+4.75+ is bonded to five O2- atoms to form TaO5 square pyramids that share corners with three equivalent SrO6 pentagonal pyramids and corners with two equivalent SrO5 square pyramids. There are a spread of Ta–O bond distances ranging from 1.91–2.08 Å. In the second Ta+4.75+ site, Ta+4.75+ is bonded to six O2- atoms to form TaO6 octahedra that share corners with six SrO5 square pyramids. There are a spread of Ta–O bond distances ranging from 1.99–2.05 Å. In the third Ta+4.75+ site, Ta+4.75+ is bonded to five O2- atoms to form TaO5 trigonal bipyramids that share corners with five SrO5 square pyramids. There are a spread of Ta–O bond distances ranging from 1.90–2.01 Å. In the fourth Ta+4.75+ site, Ta+4.75+ is bonded to five O2- atoms to form TaO5 trigonal bipyramids that share corners with three equivalent SrO6 pentagonal pyramids and corners with two equivalent SrO5 square pyramids. There are a spread of Ta–O bond distances ranging from 1.89–2.02 Å. In the fifth Ta+4.75+ site, Ta+4.75+ is bonded to six O2- atoms to form TaO6 octahedra that share corners with six SrO6 pentagonal pyramids. There are a spread of Ta–O bond distances ranging from 1.98–2.08 Å. In the sixth Ta+4.75+ site, Ta+4.75+ is bonded to five O2- atoms to form TaO5 trigonal bipyramids that share corners with six SrO6 pentagonal pyramids. There are a spread of Ta–O bond distances ranging from 1.89–2.01 Å. In the seventh Ta+4.75+ site, Ta+4.75+ is bonded to six O2- atoms to form TaO6 octahedra that share corners with six SrO6 pentagonal pyramids and a faceface with one SrO7 pentagonal bipyramid. There are a spread of Ta–O bond distances ranging from 1.95–2.08 Å. In the eighth Ta+4.75+ site, Ta+4.75+ is bonded to five O2- atoms to form TaO5 trigonal bipyramids that share corners with six SrO6 pentagonal pyramids and edges with two equivalent SrO7 pentagonal bipyramids. There are a spread of Ta–O bond distances ranging from 1.89–2.01 Å. There are forty-three inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to three Sr2+ and one Ta+4.75+ atom. In the second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Sr2+ and one Ta+4.75+ atom. In the third O2- site, O2- is bonded in a 4-coordinate geometry to three Sr2+ and one Ta+4.75+ atom. In the fourth O2- site, O2- is bonded in a 5-coordinate geometry to four Sr2+ and one Ta+4.75+ atom. In the fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Sr2+ and one Ta+4.75+ atom. In the sixth O2- site, O2- is bonded in a 1-coordinate geometry to three Sr2+ and one Ta+4.75+ atom. In the seventh O2- site, O2- is bonded in a distorted see-saw-like geometry to three Sr2+ and one Ta+4.75+ atom. In the eighth O2- site, O2- is bonded in a 3-coordinate geometry to two Sr2+ and one Ta+4.75+ atom. In the ninth O2- site, O2- is bonded in a distorted tetrahedral geometry to three Sr2+ and one Ta+4.75+ atom. In the tenth O2- site, O2- is bonded in a 4-coordinate geometry to three Sr2+ and one Ta+4.75+ atom. In the eleventh O2- site, O2- is bonded in a 4-coordinate geometry to three Sr2+ and one Ta+4.75+ atom. In the twelfth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Sr2+ and one Ta+4.75+ atom. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to three Sr2+ and one Ta+4.75+ atom. In the fourteenth O2- site, O2- is bonded in a distorted see-saw-like geometry to three Sr2+ and one Ta+4.75+ atom. In the fifteenth O2- site, O2- is bonded in a 5-coordinate geometry to four Sr2+ and one Ta+4.75+ atom. In the sixteenth O2- site, O2- is bonded in a 1-coordinate geometry to three Sr2+ and one Ta+4.75+ atom. In the seventeenth O2- site, O2- is bonded in a 3-coordinate geometry to four Sr2+ and one Ta+4.75+ atom. In the eighteenth O2- site, O2- is bonded in a distorted see-saw-like geometry to three Sr2+ and one Ta+4.75+ atom. In the nineteenth O2- site, O2- is bonded in a 4-coordinate geometry to four Sr2+ and one Ta+4.75+ atom. In the twentieth O2- site, O2- is bonded in a 6-coordinate geometry to five Sr2+ and one Ta+4.75+ atom. In the twenty-first O2- site, O2- is bonded in a 4-coordinate geometry to four Sr2+ and one Ta+4.75+ atom. In the twenty-second O2- site, O2- is bonded in a 1-coordinate geometry to three Sr2+ and one Ta+4.75+ atom. In the twenty-third O2- site, O2- is bonded in a distorted see-saw-like geometry to three Sr2+ and one Ta+4.75+ atom. In the twenty-fourth O2- site, O2- is bonded in a 5-coordinate geometry to four Sr2+ and one Ta+4.75+ atom. In the twenty-fifth O2- site, O2- is bonded to four Sr2+ and one Ta+4.75+ atom to form a mixture of distorted face, edge, and corner-sharing OSr4Ta square pyramids. In the twenty-sixth O2- site, O2- is bonded in a 5-coordinate geometry to four Sr2+ and one Ta+4.75+ atom. In the twenty-seventh O2- site, O2- is bonded in a 4-coordinate geometry to three Sr2+ and one Ta+4.75+ atom. In the twenty-eighth O2- site, O2- is bonded in a 5-coordinate geometry to four Sr2+ and one Ta+4.75+ atom. In the twenty-ninth O2- site, O2- is bonded in a 1-coordinate geometry to four Sr2+ and one Ta+4.75+ atom. In the thirtieth O2- site, O2- is bonded in a distorted see-saw-like geometry to three Sr2+ and one Ta+4.75+ atom. In the thirty-first O2- site, O2- is bonded to four Sr2+ and one Ta+4.75+ atom to form a mixture of distorted edge and corner-sharing OSr4Ta square pyramids. In the thirty-second O2- site, O2- is bonded to four Sr2+ and one Ta+4.75+ atom to form a mixture of distorted face, edge, and corner-sharing OSr4Ta square pyramids. In the thirty-third O2- site, O2- is bonded in a 4-coordinate geometry to three Sr2+ and one Ta+4.75+ atom. In the thirty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to five Sr2+ and one Ta+4.75+ atom. In the thirty-fifth O2- site, O2- is bonded in a distorted see-saw-like geometry to three Sr2+ and one Ta+4.75+ atom. In the thirty-sixth O2- site, O2- is bonded in a 5-coordinate geometry to four Sr2+ and one Ta+4.75

36 MATERIALS SCIENCE↗