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Materials Data on Li8V3P8O29 by Materials Project

Li8V3P8O29 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are sixteen inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded 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 1.95–2.24 Å. In the second Li1+ site, Li1+ is bonded in a distorted see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.98–2.09 Å. In the third 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 1.96–2.11 Å. In the fourth 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 69–70°. There are a spread of Li–O bond distances ranging from 1.84–2.26 Å. In the fifth 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 65–68°. There are a spread of Li–O bond distances ranging from 1.88–2.19 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 1.93–2.29 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 1.92–2.21 Å. In the eighth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.98–2.16 Å. In the ninth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.98–2.10 Å. 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 1.92–2.15 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 1.92–2.30 Å. In the twelfth 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 a spread of Li–O bond distances ranging from 1.85–2.20 Å. In the thirteenth Li1+ site, Li1+ is bonded in a distorted see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.97–2.10 Å. In the fourteenth 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 2.01–2.10 Å. In the fifteenth 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 sixteenth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.29–2.49 Å. There are six inequivalent V+3.33+ sites. In the first V+3.33+ site, V+3.33+ is bonded to six O2- atoms to form VO6 octahedra that share corners with 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 1.89–2.02 Å. In the second V+3.33+ site, V+3.33+ is bonded to six O2- atoms to form VO6 octahedra that share a cornercorner with one LiO4 tetrahedra, corners with six PO4 tetrahedra, and an edgeedge with one LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.88–2.04 Å. In the third V+3.33+ site, V+3.33+ is bonded to six O2- atoms to form VO6 octahedra that share a cornercorner with one LiO4 tetrahedra, corners with six PO4 tetrahedra, and an edgeedge with one LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.98–2.07 Å. In the fourth V+3.33+ site, V+3.33+ is bonded to six O2- atoms to form VO6 octahedra that share corners with 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 2.01–2.07 Å. In the fifth V+3.33+ site, V+3.33+ is bonded to six O2- atoms to form VO6 octahedra that share corners with 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 2.00–2.06 Å. In the sixth V+3.33+ site, V+3.33+ is bonded to six O2- atoms to form VO6 octahedra that share a cornercorner with one LiO4 tetrahedra, corners with six PO4 tetrahedra, and an edgeedge with one LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.99–2.08 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 47–50°. There are a spread of P–O bond distances ranging from 1.51–1.61 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 47–49°. There are a spread of P–O bond distances ranging from 1.52–1.61 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 48–49°. There are a spread of P–O bond distances ranging from 1.52–1.60 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 32–36°. 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 a cornercorner with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 36–39°. There are a spread of P–O bond distances ranging from 1.51–1.60 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 47–50°. 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 and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 40–47°. There is three shorter (1.53 Å) and one longer (1.62 Å) P–O bond length. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with four LiO4 tetrahedra. The corner-sharing octahedral tilt angles are 49°. 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 four LiO4 tetrahedra. The corner-sharing octahedral tilt angles are 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 45–48°. 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 four LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 46–50°. There are a spread of P–O bond distances ranging from 1.50–1.62 Å. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 33–37°. There are a spread of P–O bond distances ranging from 1.49–1.63 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 four LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 32–37°. There are a spread of P–O bond distances ranging from 1.51–1.62 Å. In the fourteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 42–46°. There are a spread of P–O bond distances ranging from 1.52–1.62 Å. In the fifteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 42–47°. There are a spread of P–O bond distances ranging from 1.52–1.62 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 48–50°. 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 pyramidal geometry to three Li1+ and one P5+ atom. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+3.33+, 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 V+3.33+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one V+3.33+, and one P5+ atom. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+3.33+, and one P5+ atom. In the seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+3.33+, and one P5+ atom. In the eighth O2- site, O2- is bonded in a trigonal planar geometry to two Li1+ and one P5+ atom. In the ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+3.33+, and one P5+ atom. In the tenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+3.33+, and one P5+ atom. In the eleventh O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+3.33+, and one P5+ atom. In the twelfth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+3.33+, and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a li

36 MATERIALS SCIENCE↗

Materials Data on Li7Mn4(P2O7)4 by Materials Project

Li7Mn4(P2O7)4 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are fourteen 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 1.97–2.35 Å. In the second 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 1.91–2.24 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four PO4 tetrahedra, a cornercorner with one MnO5 trigonal bipyramid, and an edgeedge with one LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.94–1.99 Å. In the fourth Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.98–2.45 Å. In the fifth 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 1.86–2.02 Å. In the sixth 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 1.87–2.31 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 1.96–2.33 Å. In the eighth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share corners with five PO4 tetrahedra, a cornercorner with one MnO5 trigonal bipyramid, and an edgeedge with one MnO6 octahedra. There are a spread of Li–O bond distances ranging from 1.90–2.62 Å. In the ninth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four PO4 tetrahedra, a cornercorner with one MnO5 trigonal bipyramid, corners with two LiO5 trigonal bipyramids, and an edgeedge with one LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.91–2.01 Å. In the tenth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share corners with two LiO4 tetrahedra, corners with five PO4 tetrahedra, a cornercorner with one MnO5 trigonal bipyramid, an edgeedge with one MnO6 octahedra, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.95–2.44 Å. In the eleventh Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share corners with two LiO4 tetrahedra, corners with five PO4 tetrahedra, a cornercorner with one MnO5 trigonal bipyramid, an edgeedge with one MnO6 octahedra, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.96–2.41 Å. In the twelfth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four PO4 tetrahedra, a cornercorner with one MnO5 trigonal bipyramid, corners with two LiO5 trigonal bipyramids, and an edgeedge with one LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.92–2.01 Å. In the thirteenth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four PO4 tetrahedra, a cornercorner with one MnO5 trigonal bipyramid, and an edgeedge with one MnO6 octahedra. There are a spread of Li–O bond distances ranging from 1.96–2.08 Å. In the fourteenth Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.96–2.31 Å. There are eight inequivalent Mn+2.25+ sites. In the first Mn+2.25+ site, Mn+2.25+ is bonded to six O2- atoms to form distorted 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 2.10–2.39 Å. In the second Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form distorted 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 2.08–2.21 Å. In the third Mn+2.25+ site, Mn+2.25+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Mn–O bond distances ranging from 2.04–2.27 Å. In the fourth Mn+2.25+ site, Mn+2.25+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 2.16–2.34 Å. In the fifth Mn+2.25+ site, Mn+2.25+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, an edgeedge with one LiO5 trigonal bipyramid, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Mn–O bond distances ranging from 2.04–2.31 Å. In the sixth Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form distorted MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, corners with five PO4 tetrahedra, corners with two LiO5 trigonal bipyramids, 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 2.15–2.28 Å. In the seventh Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form distorted MnO5 trigonal bipyramids that share corners with two LiO4 tetrahedra, corners with five PO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, 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 2.12–2.23 Å. In the eighth Mn+2.25+ site, Mn+2.25+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra, an edgeedge with one MnO5 trigonal bipyramid, and edges with two LiO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.12–2.23 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 corners with two MnO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 54°. 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 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 36°. There are a spread of P–O bond distances ranging from 1.51–1.64 Å. In the third 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 1.51–1.62 Å. In the fourth 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 32–55°. There are a spread of P–O bond distances ranging from 1.53–1.62 Å. In the fifth 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 34–51°. There are a spread of P–O bond distances ranging from 1.52–1.62 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 PO4 tetrahedra, corners with two LiO4 tetrahedra, and corners with two MnO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 56°. 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 a cornercorner with one MnO6 octahedra, a cornercorner with one PO4 tetrahedra, corners with two LiO5 trigonal bipyramids, and corners with two MnO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 51°. There are a spread of P–O bond distances ranging from 1.52–1.60 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one 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 39°. 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 a cornercorner with one MnO6 octahedra, a cornercorner with one PO4 tetrahedra, corners with two LiO4 tetrahedra, a cornercorner with one MnO5 trigonal bipyramid, and corners with two LiO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 41°. There are a spread of P–O bond distances ranging from 1.49–1.64 Å. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one PO4 tetrahedra, a cornercorner with one MnO5 trigonal bipyramid, and corners with two LiO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 55°. 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 a cornercorner with one MnO6 octahedra, a cornercorner with one PO4 tetrahedra, corners with three LiO4 tetrahedra, and a cornercorner with one MnO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 58°. There are a spread of P–O bond distances ranging from 1.51–1.63 Å. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three 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 octahedra tilt angles range from 31–57°. There are a spread of P–O bond distances ranging from 1.53–1.62 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 LiO4 tetrahedra, a cornercorner with one PO4 tetrahedra, and a cornercorner with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 33–54°. There are a spread of P–O bond distances ranging from 1.52–1.63 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, a cornercorner with one LiO5 trigonal bipyramid, and corners with two MnO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 57°. There are a spread of P–O bond distances ranging from 1.51–1.62 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 PO4 tetrahedra, corners with two LiO4 tetrahedra, a cornercorner with one MnO5 trigonal bipyramid, and corners with two LiO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 40°. There are a spread of P–O bond distances ranging from 1.51–1.63 Å. In the sixteenth 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 tetra

36 MATERIALS SCIENCE↗

Materials Data on Sr3La21Zn2(Cu5O24)2 by Materials Project

Sr3La21Zn2(Cu5O24)2 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are three inequivalent Sr sites. In the first Sr site, Sr is bonded in a 9-coordinate geometry to nine O atoms. There are a spread of Sr–O bond distances ranging from 2.44–3.03 Å. In the second Sr site, Sr is bonded in a 9-coordinate geometry to nine O atoms. There are a spread of Sr–O bond distances ranging from 2.48–3.01 Å. In the third Sr site, Sr is bonded in a 9-coordinate geometry to nine O atoms. There are a spread of Sr–O bond distances ranging from 2.46–2.96 Å. There are twenty-one inequivalent La sites. In the first La site, La is bonded in a 2-coordinate geometry to nine O atoms. There are a spread of La–O bond distances ranging from 2.25–3.14 Å. In the second La site, La is bonded in a 9-coordinate geometry to nine O atoms. There are a spread of La–O bond distances ranging from 2.46–3.24 Å. In the third La site, La is bonded in a 4-coordinate geometry to nine O atoms. There are a spread of La–O bond distances ranging from 2.31–3.20 Å. In the fourth La site, La is bonded in a 2-coordinate geometry to eight O atoms. There are a spread of La–O bond distances ranging from 2.34–2.76 Å. In the fifth La site, La is bonded in a 2-coordinate geometry to nine O atoms. There are a spread of La–O bond distances ranging from 2.27–3.27 Å. In the sixth La site, La is bonded in a 9-coordinate geometry to eight O atoms. There are a spread of La–O bond distances ranging from 2.37–2.79 Å. In the seventh La site, La is bonded in a 2-coordinate geometry to nine O atoms. There are a spread of La–O bond distances ranging from 2.26–3.27 Å. In the eighth La site, La is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of La–O bond distances ranging from 2.39–2.76 Å. In the ninth La site, La is bonded in a 2-coordinate geometry to nine O atoms. There are a spread of La–O bond distances ranging from 2.28–3.18 Å. In the tenth La site, La is bonded in a 9-coordinate geometry to nine O atoms. There are a spread of La–O bond distances ranging from 2.32–3.20 Å. In the eleventh La site, La is bonded in a 9-coordinate geometry to nine O atoms. There are a spread of La–O bond distances ranging from 2.34–3.20 Å. In the twelfth La site, La is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of La–O bond distances ranging from 2.39–2.80 Å. In the thirteenth La site, La is bonded in a 2-coordinate geometry to nine O atoms. There are a spread of La–O bond distances ranging from 2.25–3.12 Å. In the fourteenth La site, La is bonded in a 2-coordinate geometry to nine O atoms. There are a spread of La–O bond distances ranging from 2.27–3.16 Å. In the fifteenth La site, La is bonded in a 2-coordinate geometry to nine O atoms. There are a spread of La–O bond distances ranging from 2.32–3.21 Å. In the sixteenth La site, La is bonded in a 9-coordinate geometry to nine O atoms. There are a spread of La–O bond distances ranging from 2.36–3.22 Å. In the seventeenth La site, La is bonded in a 9-coordinate geometry to nine O atoms. There are a spread of La–O bond distances ranging from 2.33–3.10 Å. In the eighteenth La site, La is bonded in a 2-coordinate geometry to nine O atoms. There are a spread of La–O bond distances ranging from 2.36–3.22 Å. In the nineteenth La site, La is bonded in a 2-coordinate geometry to nine O atoms. There are a spread of La–O bond distances ranging from 2.31–3.20 Å. In the twentieth La site, La is bonded in a 2-coordinate geometry to nine O atoms. There are a spread of La–O bond distances ranging from 2.30–3.26 Å. In the twenty-first La site, La is bonded in a 9-coordinate geometry to nine O atoms. There are a spread of La–O bond distances ranging from 2.34–3.19 Å. There are ten inequivalent Cu sites. In the first Cu site, Cu is bonded to six O atoms to form distorted CuO6 octahedra that share corners with four equivalent ZnO6 octahedra. The corner-sharing octahedra tilt angles range from 7–13°. There are a spread of Cu–O bond distances ranging from 1.89–2.51 Å. In the second Cu site, Cu is bonded to six O atoms to form corner-sharing CuO6 octahedra. The corner-sharing octahedra tilt angles range from 4–11°. There are a spread of Cu–O bond distances ranging from 1.93–2.47 Å. In the third Cu site, Cu is bonded to six O atoms to form distorted CuO6 octahedra that share corners with four equivalent ZnO6 octahedra. The corner-sharing octahedra tilt angles range from 3–18°. There are a spread of Cu–O bond distances ranging from 1.90–2.56 Å. In the fourth Cu site, Cu is bonded to six O atoms to form corner-sharing CuO6 octahedra. The corner-sharing octahedra tilt angles range from 4–11°. There are a spread of Cu–O bond distances ranging from 1.93–2.51 Å. In the fifth Cu site, Cu is bonded to six O atoms to form corner-sharing CuO6 octahedra. The corner-sharing octahedra tilt angles range from 7–11°. There are a spread of Cu–O bond distances ranging from 1.95–2.46 Å. In the sixth Cu site, Cu is bonded to six O atoms to form distorted corner-sharing CuO6 octahedra. The corner-sharing octahedra tilt angles range from 2–15°. There are a spread of Cu–O bond distances ranging from 1.94–2.53 Å. In the seventh Cu site, Cu is bonded to six O atoms to form corner-sharing CuO6 octahedra. The corner-sharing octahedra tilt angles range from 5–10°. There are a spread of Cu–O bond distances ranging from 1.95–2.44 Å. In the eighth Cu site, Cu is bonded to six O atoms to form corner-sharing CuO6 octahedra. The corner-sharing octahedra tilt angles range from 7–11°. There are a spread of Cu–O bond distances ranging from 1.92–2.44 Å. In the ninth Cu site, Cu is bonded to six O atoms to form distorted corner-sharing CuO6 octahedra. The corner-sharing octahedra tilt angles range from 2–15°. There are a spread of Cu–O bond distances ranging from 1.93–2.53 Å. In the tenth Cu site, Cu is bonded to six O atoms to form distorted corner-sharing CuO6 octahedra. The corner-sharing octahedra tilt angles range from 5–10°. There are a spread of Cu–O bond distances ranging from 1.91–2.48 Å. There are two inequivalent Zn sites. In the first Zn site, Zn is bonded to six O atoms to form ZnO6 octahedra that share corners with four equivalent CuO6 octahedra. The corner-sharing octahedra tilt angles range from 7–13°. There are a spread of Zn–O bond distances ranging from 1.98–2.44 Å. In the second Zn site, Zn is bonded to six O atoms to form distorted ZnO6 octahedra that share corners with four equivalent CuO6 octahedra. The corner-sharing octahedra tilt angles range from 3–18°. There are a spread of Zn–O bond distances ranging from 1.98–2.52 Å. There are forty-eight inequivalent O sites. In the first O site, O is bonded in a 6-coordinate geometry to one Sr, three La, and two Cu atoms. In the second O site, O is bonded in a 6-coordinate geometry to five La and one Zn atom. In the third O site, O is bonded in a 2-coordinate geometry to five La and one Cu atom. In the fourth O site, O is bonded in a 6-coordinate geometry to four La, one Cu, and one Zn atom. In the fifth O site, O is bonded to four La, one Cu, and one Zn atom to form distorted face-sharing OLa4ZnCu octahedra. In the sixth O site, O is bonded in a 6-coordinate geometry to one Sr, three La, and two Cu atoms. In the seventh O site, O is bonded in a 2-coordinate geometry to five La and one Zn atom. In the eighth O site, O is bonded in a 2-coordinate geometry to four La and one Cu atom. In the ninth O site, O is bonded in a 5-coordinate geometry to five La and one Cu atom. In the tenth O site, O is bonded in a 2-coordinate geometry to four La and one Cu atom. In the eleventh O site, O is bonded to four La, one Cu, and one Zn atom to form distorted face-sharing OLa4ZnCu octahedra. In the twelfth O site, O is bonded in a 6-coordinate geometry to four La, one Cu, and one Zn atom. In the thirteenth O site, O is bonded in a 6-coordinate geometry to four La, one Cu, and one Zn atom. In the fourteenth O site, O is bonded to four La, one Cu, and one Zn atom to form distorted face-sharing OLa4ZnCu octahedra. In the fifteenth O site, O is bonded in a 6-coordinate geometry to two equivalent Sr, three La, and one Cu atom. In the sixteenth O site, O is bonded in a 5-coordinate geometry to one Sr, four La, and one Cu atom. In the seventeenth O site, O is bonded in a 2-coordinate geometry to four La and one Cu atom. In the eighteenth O site, O is bonded in a 5-coordinate geometry to five La and one Zn atom. In the nineteenth O site, O is bonded to one Sr, three La, and two Cu atoms to form a mixture of distorted corner, edge, and face-sharing OSrLa3Cu2 octahedra. The corner-sharing octahedra tilt angles range from 2–4°. In the twentieth O site, O is bonded to one Sr, three La, and two Cu atoms to form a mixture of distorted corner, edge, and face-sharing OSrLa3Cu2 octahedra. The corner-sharing octahedra tilt angles range from 2–4°. In the twenty-first O site, O is bonded to four La, one Cu, and one Zn atom to form distorted face-sharing OLa4ZnCu octahedra. In the twenty-second O site, O is bonded in a 6-coordinate geometry to four La, one Cu, and one Zn atom. In the twenty-third O site, O is bonded in a 5-coordinate geometry to five La and one Cu atom. In the twenty-fourth O site, O is bonded in a 6-coordinate geometry to five La and one Cu atom. In the twenty-fifth O site, O is bonded in a 5-coordinate geometry to two equivalent Sr, two La, and one Cu atom. In the twenty-sixth O site, O is bonded in a 6-coordinate geometry to five La and one Zn atom. In the twenty-seventh O site, O is bonded to four La and two Cu atoms to form a mixture of distorted corner, edge, and face-sharing OLa4Cu2 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the twenty-eighth O site, O is bonded to four La and two Cu atoms to form a mixture of distorted corner, edge, and face-sharing OLa4Cu2 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the twenty-ninth O site, O is bonded to one Sr, three La, and two Cu atoms to form a mixture of distorted corner, edge, and face-sharing OSrLa3Cu2 octahedra. The corner-sharing octahedra tilt angles range from 2–4°. In the thirtieth O site, O is bonded to one Sr, three La, and two Cu atoms to form a mixture of distorted corner, edge, and face-sharing OSrLa3Cu2 octahedra. The corner-sharing octahedra tilt angles range from 2–4°. In the thirty-first O site, O is bonded in a 6-coordinate geometry to two equivalent Sr, three La, and one Cu atom. In the thirty-second O site, O is bonded in a 6-coordinate geometry to one Sr, four La, and one Cu atom. In the thirty-third O site, O is bonded in a 5-coordinate geometry to five La and one Cu atom. In the thirty-fourth O site, O is bonded in a 5-coordinate geometry to five La and one Cu atom. In the thirty-fifth O site, O is bonded to one Sr, three La, and two Cu atoms to form a mixture of distorted corner, edge, and face-sharing OSrLa3Cu2 octahedra. The corner-sharing octahedra tilt angles range from 0–5°. In the thirty-sixth O site, O is bonded to one Sr, three La, and two Cu atoms to form a mixture of distorted corner, edge, and face-sharing OSrLa3Cu2 octahedra. The corner-sharing octahedra tilt angles range from 0–5°. In the thirty-seventh O site, O is bonded to four La and two Cu atoms to form a mixture of distorted corner, edge, and face-sharing OLa4Cu2 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the thirty-eighth O site, O is bonded to four La and two Cu atoms to form a mixture of distorted corner, edge, and face-sharing OLa4Cu2 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the thirty-ninth O site, O is bonded in a 6-coordinate geometry to two equivalent Sr, three La, and one Cu atom. In the fortieth O site, O is bonded in a 6-coordinate geometry to one Sr, four La, and one Cu atom. In the forty-first O site, O is bonded in a 5-coordinate geometry to two equivalent Sr, three

36 MATERIALS SCIENCE↗

Materials Data on Sm10Pd21 by Materials Project

Sm10Pd21 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twenty inequivalent Sm sites. In the first Sm site, Sm is bonded in a 10-coordinate geometry to ten Pd atoms. There are a spread of Sm–Pd bond distances ranging from 2.80–3.11 Å. In the second Sm site, Sm is bonded in a 11-coordinate geometry to eleven Pd atoms. There are a spread of Sm–Pd bond distances ranging from 2.88–3.19 Å. In the third Sm site, Sm is bonded in a 10-coordinate geometry to ten Pd atoms. There are a spread of Sm–Pd bond distances ranging from 2.80–3.10 Å. In the fourth Sm site, Sm is bonded in a 10-coordinate geometry to ten Pd atoms. There are a spread of Sm–Pd bond distances ranging from 2.88–3.21 Å. In the fifth Sm site, Sm is bonded in a 11-coordinate geometry to eleven Pd atoms. There are a spread of Sm–Pd bond distances ranging from 2.88–3.15 Å. In the sixth Sm site, Sm is bonded in a 11-coordinate geometry to eleven Pd atoms. There are a spread of Sm–Pd bond distances ranging from 2.89–3.16 Å. In the seventh Sm site, Sm is bonded in a 11-coordinate geometry to eleven Pd atoms. There are a spread of Sm–Pd bond distances ranging from 2.88–3.16 Å. In the eighth Sm site, Sm is bonded in a 9-coordinate geometry to nine Pd atoms. There are a spread of Sm–Pd bond distances ranging from 2.83–3.04 Å. In the ninth Sm site, Sm is bonded in a 11-coordinate geometry to eleven Pd atoms. There are a spread of Sm–Pd bond distances ranging from 2.91–3.07 Å. In the tenth Sm site, Sm is bonded in a 9-coordinate geometry to eleven Pd atoms. There are a spread of Sm–Pd bond distances ranging from 2.88–3.50 Å. In the eleventh Sm site, Sm is bonded in a distorted q6 geometry to ten Pd atoms. There are a spread of Sm–Pd bond distances ranging from 2.92–3.03 Å. In the twelfth Sm site, Sm is bonded in a 11-coordinate geometry to eleven Pd atoms. There are a spread of Sm–Pd bond distances ranging from 2.92–3.07 Å. In the thirteenth Sm site, Sm is bonded in a 9-coordinate geometry to eleven Pd atoms. There are a spread of Sm–Pd bond distances ranging from 2.86–3.53 Å. In the fourteenth Sm site, Sm is bonded in a 10-coordinate geometry to ten Pd atoms. There are a spread of Sm–Pd bond distances ranging from 2.88–3.20 Å. In the fifteenth Sm site, Sm is bonded in a 9-coordinate geometry to eleven Pd atoms. There are a spread of Sm–Pd bond distances ranging from 2.86–3.52 Å. In the sixteenth Sm site, Sm is bonded in a distorted q6 geometry to ten Pd atoms. There are a spread of Sm–Pd bond distances ranging from 2.92–3.03 Å. In the seventeenth Sm site, Sm is bonded in a 11-coordinate geometry to eleven Pd atoms. There are a spread of Sm–Pd bond distances ranging from 2.87–3.49 Å. In the eighteenth Sm site, Sm is bonded in a 11-coordinate geometry to eleven Pd atoms. There are a spread of Sm–Pd bond distances ranging from 2.89–3.18 Å. In the nineteenth Sm site, Sm is bonded in a 11-coordinate geometry to eleven Pd atoms. There are a spread of Sm–Pd bond distances ranging from 2.88–3.19 Å. In the twentieth Sm site, Sm is bonded in a 9-coordinate geometry to nine Pd atoms. There are a spread of Sm–Pd bond distances ranging from 2.83–3.05 Å. There are forty-two inequivalent Pd sites. In the first Pd site, Pd is bonded in a 12-coordinate geometry to six Sm and six Pd atoms. There are a spread of Pd–Pd bond distances ranging from 2.74–3.11 Å. In the second Pd site, Pd is bonded to five Sm and two Pd atoms to form distorted PdSm5Pd2 trigonal bipyramids that share a cornercorner with one PdSm6Pd2 octahedra, corners with two equivalent PdSm5Pd2 trigonal bipyramids, and a faceface with one PdSm5Pd6 trigonal bipyramid. The corner-sharing octahedral tilt angles are 61°. There are one shorter (3.00 Å) and one longer (3.01 Å) Pd–Pd bond lengths. In the third Pd site, Pd is bonded in a 5-coordinate geometry to five Sm and four Pd atoms. There are a spread of Pd–Pd bond distances ranging from 2.86–2.99 Å. In the fourth Pd site, Pd is bonded to six Sm and two Pd atoms to form distorted PdSm6Pd2 octahedra that share corners with two equivalent PdSm6Pd2 octahedra, corners with four PdSm5Pd2 trigonal bipyramids, edges with two PdSm5Pd7 cuboctahedra, and faces with two PdSm5Pd7 cuboctahedra. The corner-sharing octahedral tilt angles are 6°. There are one shorter (3.04 Å) and one longer (3.06 Å) Pd–Pd bond lengths. In the fifth Pd site, Pd is bonded in a 12-coordinate geometry to five Sm atoms. In the sixth Pd site, Pd is bonded in a 5-coordinate geometry to five Sm and two Pd atoms. Both Pd–Pd bond lengths are 2.85 Å. In the seventh Pd site, Pd is bonded in a 5-coordinate geometry to five Sm and four Pd atoms. There are a spread of Pd–Pd bond distances ranging from 2.86–2.99 Å. In the eighth Pd site, Pd is bonded in a 5-coordinate geometry to five Sm and four Pd atoms. There are a spread of Pd–Pd bond distances ranging from 2.95–3.19 Å. In the ninth Pd site, Pd is bonded in a 6-coordinate geometry to six Sm and two Pd atoms. There are one shorter (3.02 Å) and one longer (3.03 Å) Pd–Pd bond lengths. In the tenth Pd site, Pd is bonded in a 12-coordinate geometry to five Sm and seven Pd atoms. There are a spread of Pd–Pd bond distances ranging from 2.85–2.98 Å. In the eleventh Pd site, Pd is bonded in a 5-coordinate geometry to five Sm and four Pd atoms. There are a spread of Pd–Pd bond distances ranging from 2.97–3.18 Å. In the twelfth Pd site, Pd is bonded in a distorted rectangular see-saw-like geometry to four Sm and six Pd atoms. There are a spread of Pd–Pd bond distances ranging from 2.90–3.09 Å. In the thirteenth Pd site, Pd is bonded to five Sm and six Pd atoms to form distorted PdSm5Pd6 trigonal bipyramids that share corners with two PdSm5Pd7 cuboctahedra, a cornercorner with one PdSm6Pd2 octahedra, corners with two equivalent PdSm5Pd6 trigonal bipyramids, and faces with four PdSm5Pd2 trigonal bipyramids. The corner-sharing octahedral tilt angles are 31°. There are a spread of Pd–Pd bond distances ranging from 2.93–3.17 Å. In the fourteenth Pd site, Pd is bonded to five Sm and two Pd atoms to form distorted PdSm5Pd2 trigonal bipyramids that share a cornercorner with one PdSm6Pd2 octahedra, corners with two equivalent PdSm5Pd2 trigonal bipyramids, and a faceface with one PdSm5Pd6 trigonal bipyramid. The corner-sharing octahedral tilt angles are 25°. Both Pd–Pd bond lengths are 2.99 Å. In the fifteenth Pd site, Pd is bonded to five Sm and six Pd atoms to form distorted PdSm5Pd6 trigonal bipyramids that share corners with two PdSm5Pd7 cuboctahedra, corners with two equivalent PdSm5Pd6 trigonal bipyramids, and faces with five PdSm5Pd6 trigonal bipyramids. There are a spread of Pd–Pd bond distances ranging from 2.95–3.11 Å. In the sixteenth Pd site, Pd is bonded to five Sm and seven Pd atoms to form distorted PdSm5Pd7 cuboctahedra that share corners with two equivalent PdSm5Pd7 cuboctahedra, corners with two PdSm5Pd6 trigonal bipyramids, edges with two equivalent PdSm5Pd7 cuboctahedra, an edgeedge with one PdSm6Pd2 octahedra, faces with three PdSm5Pd7 cuboctahedra, and a faceface with one PdSm6Pd2 octahedra. There are a spread of Pd–Pd bond distances ranging from 2.86–2.99 Å. In the seventeenth Pd site, Pd is bonded in a 12-coordinate geometry to six Sm and six Pd atoms. There are one shorter (3.05 Å) and one longer (3.10 Å) Pd–Pd bond lengths. In the eighteenth Pd site, Pd is bonded in a 12-coordinate geometry to five Sm and seven Pd atoms. There are a spread of Pd–Pd bond distances ranging from 2.87–2.98 Å. In the nineteenth Pd site, Pd is bonded in a 5-coordinate geometry to five Sm and two Pd atoms. There are one shorter (2.84 Å) and one longer (2.86 Å) Pd–Pd bond lengths. In the twentieth Pd site, Pd is bonded to five Sm and seven Pd atoms to form distorted PdSm5Pd7 cuboctahedra that share corners with two equivalent PdSm5Pd7 cuboctahedra, corners with two PdSm5Pd6 trigonal bipyramids, edges with two equivalent PdSm5Pd7 cuboctahedra, an edgeedge with one PdSm6Pd2 octahedra, faces with three PdSm5Pd7 cuboctahedra, and a faceface with one PdSm6Pd2 octahedra. There are one shorter (2.92 Å) and one longer (3.00 Å) Pd–Pd bond lengths. In the twenty-first Pd site, Pd is bonded in a 5-coordinate geometry to five Sm and four Pd atoms. There are a spread of Pd–Pd bond distances ranging from 2.86–3.00 Å. In the twenty-second Pd site, Pd is bonded in a distorted rectangular see-saw-like geometry to four Sm and two Pd atoms. The Pd–Pd bond length is 2.91 Å. In the twenty-third Pd site, Pd is bonded to five Sm and six Pd atoms to form distorted PdSm5Pd6 trigonal bipyramids that share corners with two PdSm5Pd7 cuboctahedra, corners with two equivalent PdSm5Pd6 trigonal bipyramids, and faces with four PdSm5Pd6 trigonal bipyramids. There are a spread of Pd–Pd bond distances ranging from 2.93–3.16 Å. In the twenty-fourth Pd site, Pd is bonded in a 12-coordinate geometry to five Sm and seven Pd atoms. In the twenty-fifth Pd site, Pd is bonded to five Sm and seven Pd atoms to form distorted PdSm5Pd7 cuboctahedra that share corners with two equivalent PdSm5Pd7 cuboctahedra, corners with two PdSm5Pd6 trigonal bipyramids, edges with two equivalent PdSm5Pd7 cuboctahedra, and faces with three PdSm5Pd7 cuboctahedra. There are a spread of Pd–Pd bond distances ranging from 2.88–2.97 Å. In the twenty-sixth Pd site, Pd is bonded in a distorted square co-planar geometry to four Sm atoms. In the twenty-seventh Pd site, Pd is bonded in a 5-coordinate geometry to five Sm atoms. In the twenty-eighth Pd site, Pd is bonded in a 12-coordinate geometry to five Sm and seven Pd atoms. There are a spread of Pd–Pd bond distances ranging from 2.85–2.93 Å. In the twenty-ninth Pd site, Pd is bonded in a 12-coordinate geometry to five Sm and seven Pd atoms. The Pd–Pd bond length is 2.94 Å. In the thirtieth Pd site, Pd is bonded in a 12-coordinate geometry to six Sm and six Pd atoms. There are a spread of Pd–Pd bond distances ranging from 2.74–3.11 Å. In the thirty-first Pd site, Pd is bonded to five Sm and six Pd atoms to form distorted PdSm5Pd6 trigonal bipyramids that share corners with two PdSm5Pd7 cuboctahedra, a cornercorner with one PdSm6Pd2 octahedra, corners with two equivalent PdSm5Pd6 trigonal bipyramids, and faces with five PdSm5Pd6 trigonal bipyramids. The corner-sharing octahedral tilt angles are 32°. The Pd–Pd bond length is 2.98 Å. In the thirty-second Pd site, Pd is bonded in a distorted rectangular see-saw-like geometry to four Sm and six Pd atoms. The Pd–Pd bond length is 2.94 Å. In the thirty-third Pd site, Pd is bonded in a 5-coordinate geometry to five Sm and four Pd atoms. The Pd–Pd bond length is 2.85 Å. In the thirty-fourth Pd site, Pd is bonded in a 12-coordinate geometry to five Sm and seven Pd atoms. The Pd–Pd bond length is 2.91 Å. In the thirty-fifth Pd site, Pd is bonded in a distorted rectangular see-saw-like geometry to four Sm and two Pd atoms. In the thirty-sixth Pd site, Pd is bonded in a 12-coordinate geometry to five Sm atoms. In the thirty-seventh Pd site, Pd is bonded in a 12-coordinate geometry to six Sm and six Pd atoms. In the thirty-eighth Pd site, Pd is bonded to five Sm and seven Pd atoms to form distorted PdSm5Pd7 cuboctahedra that share corners with two equivalent PdSm5Pd7 cuboctahedra, corners with two PdSm5Pd6 trigonal bipyramids, edges with two equivalent PdSm5Pd7 cuboctahedra, and faces with three PdSm5Pd7 cuboctahedra. In the thirty-ninth Pd site, Pd is bonded in a distorted square co-planar geometry to four Sm atoms. In the fortieth Pd site, Pd is bonded in a 12-coordinate geometry to five Sm and seven Pd atoms. There are one shorter (2.87 Å) and one longer (2.98 Å) Pd–Pd bond lengths. In the forty-first Pd site, Pd is bonded in a 12-coordinate geometry to five Sm and seven Pd atoms. In the forty-second Pd site, Pd is bonded in a 12-coordinate geometry to five Sm atoms.

36 MATERIALS SCIENCE↗

Materials Data on KBiO3 by Materials Project

KBiO3 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eighteen inequivalent K1+ sites. In the first K1+ site, K1+ is bonded in a 3-coordinate geometry to five O2- atoms. There are a spread of K–O bond distances ranging from 2.64–3.14 Å. In the second K1+ site, K1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of K–O bond distances ranging from 2.67–3.16 Å. In the third K1+ site, K1+ is bonded in a 1-coordinate geometry to seven O2- atoms. There are a spread of K–O bond distances ranging from 2.53–3.23 Å. In the fourth K1+ site, K1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of K–O bond distances ranging from 2.62–3.29 Å. In the fifth K1+ site, K1+ is bonded in a distorted hexagonal planar geometry to six O2- atoms. There are a spread of K–O bond distances ranging from 2.67–2.84 Å. In the sixth K1+ site, K1+ is bonded in a distorted hexagonal planar geometry to six O2- atoms. There are a spread of K–O bond distances ranging from 2.68–2.86 Å. In the seventh K1+ site, K1+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of K–O bond distances ranging from 2.56–3.28 Å. In the eighth K1+ site, K1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of K–O bond distances ranging from 2.68–3.05 Å. In the ninth K1+ site, K1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of K–O bond distances ranging from 2.70–3.14 Å. In the tenth K1+ site, K1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of K–O bond distances ranging from 2.65–3.11 Å. In the eleventh K1+ site, K1+ is bonded in a 6-coordinate geometry to five O2- atoms. There are a spread of K–O bond distances ranging from 2.59–3.06 Å. In the twelfth K1+ site, K1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of K–O bond distances ranging from 2.65–3.12 Å. In the thirteenth K1+ site, K1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of K–O bond distances ranging from 2.69–3.06 Å. In the fourteenth K1+ site, K1+ is bonded in a 3-coordinate geometry to three O2- atoms. There are a spread of K–O bond distances ranging from 2.57–2.83 Å. In the fifteenth K1+ site, K1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of K–O bond distances ranging from 2.58–3.13 Å. In the sixteenth K1+ site, K1+ is bonded in a distorted hexagonal planar geometry to six O2- atoms. There are a spread of K–O bond distances ranging from 2.69–2.86 Å. In the seventeenth K1+ site, K1+ is bonded in a distorted hexagonal planar geometry to six O2- atoms. There are a spread of K–O bond distances ranging from 2.70–2.87 Å. In the eighteenth K1+ site, K1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of K–O bond distances ranging from 2.63–3.18 Å. There are eighteen inequivalent Bi5+ sites. In the first Bi5+ site, Bi5+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing BiO6 octahedra. The corner-sharing octahedra tilt angles range from 53–56°. There are a spread of Bi–O bond distances ranging from 2.12–2.21 Å. In the second Bi5+ site, Bi5+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing BiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–56°. There are a spread of Bi–O bond distances ranging from 2.14–2.19 Å. In the third Bi5+ site, Bi5+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing BiO6 octahedra. The corner-sharing octahedra tilt angles range from 53–55°. There are a spread of Bi–O bond distances ranging from 2.12–2.21 Å. In the fourth Bi5+ site, Bi5+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing BiO6 octahedra. The corner-sharing octahedra tilt angles range from 53–56°. There are a spread of Bi–O bond distances ranging from 2.11–2.20 Å. In the fifth Bi5+ site, Bi5+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing BiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–55°. There are a spread of Bi–O bond distances ranging from 2.11–2.24 Å. In the sixth Bi5+ site, Bi5+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing BiO6 octahedra. The corner-sharing octahedra tilt angles range from 53–55°. There are a spread of Bi–O bond distances ranging from 2.13–2.19 Å. In the seventh Bi5+ site, Bi5+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing BiO6 octahedra. The corner-sharing octahedra tilt angles range from 53–55°. There are a spread of Bi–O bond distances ranging from 2.12–2.20 Å. In the eighth Bi5+ site, Bi5+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing BiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–56°. There are a spread of Bi–O bond distances ranging from 2.13–2.20 Å. In the ninth Bi5+ site, Bi5+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing BiO6 octahedra. The corner-sharing octahedra tilt angles range from 51–55°. There are a spread of Bi–O bond distances ranging from 2.10–2.20 Å. In the tenth Bi5+ site, Bi5+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing BiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–54°. There are a spread of Bi–O bond distances ranging from 2.14–2.20 Å. In the eleventh Bi5+ site, Bi5+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing BiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–57°. There are a spread of Bi–O bond distances ranging from 2.13–2.19 Å. In the twelfth Bi5+ site, Bi5+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing BiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–55°. There are a spread of Bi–O bond distances ranging from 2.13–2.18 Å. In the thirteenth Bi5+ site, Bi5+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing BiO6 octahedra. The corner-sharing octahedra tilt angles range from 51–56°. There are a spread of Bi–O bond distances ranging from 2.12–2.22 Å. In the fourteenth Bi5+ site, Bi5+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing BiO6 octahedra. The corner-sharing octahedra tilt angles range from 53–55°. There are a spread of Bi–O bond distances ranging from 2.14–2.17 Å. In the fifteenth Bi5+ site, Bi5+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing BiO6 octahedra. The corner-sharing octahedral tilt angles are 54°. There are a spread of Bi–O bond distances ranging from 2.13–2.18 Å. In the sixteenth Bi5+ site, Bi5+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing BiO6 octahedra. The corner-sharing octahedra tilt angles range from 53–57°. There are a spread of Bi–O bond distances ranging from 2.12–2.20 Å. In the seventeenth Bi5+ site, Bi5+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing BiO6 octahedra. The corner-sharing octahedra tilt angles range from 53–55°. There are a spread of Bi–O bond distances ranging from 2.13–2.20 Å. In the eighteenth Bi5+ site, Bi5+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing BiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–55°. There are a spread of Bi–O bond distances ranging from 2.13–2.19 Å. There are fifty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to two K1+ and two Bi5+ atoms. In the second O2- site, O2- is bonded in a 4-coordinate geometry to two K1+ and two Bi5+ atoms. In the third O2- site, O2- is bonded to two K1+ and two Bi5+ atoms to form a mixture of distorted edge and corner-sharing OK2Bi2 tetrahedra. In the fourth O2- site, O2- is bonded in a 2-coordinate geometry to two K1+ and two Bi5+ atoms. In the fifth O2- site, O2- is bonded to two K1+ and two Bi5+ atoms to form distorted corner-sharing OK2Bi2 tetrahedra. In the sixth O2- site, O2- is bonded to two K1+ and two Bi5+ atoms to form a mixture of distorted edge and corner-sharing OK2Bi2 tetrahedra. In the seventh O2- site, O2- is bonded in a trigonal non-coplanar geometry to one K1+ and two Bi5+ atoms. In the eighth O2- site, O2- is bonded in a 2-coordinate geometry to one K1+ and two Bi5+ atoms. In the ninth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one K1+ and two Bi5+ atoms. In the tenth O2- site, O2- is bonded in a 4-coordinate geometry to two K1+ and two Bi5+ atoms. In the eleventh O2- site, O2- is bonded in a distorted water-like geometry to two K1+ and two Bi5+ atoms. In the twelfth O2- site, O2- is bonded in a 3-coordinate geometry to three K1+ and two Bi5+ atoms. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to two K1+ and two Bi5+ atoms. In the fourteenth O2- site, O2- is bonded in a 4-coordinate geometry to two K1+ and two Bi5+ atoms. In the fifteenth O2- site, O2- is bonded to two K1+ and two Bi5+ atoms to form a mixture of distorted edge and corner-sharing OK2Bi2 tetrahedra. In the sixteenth O2- site, O2- is bonded in a 4-coordinate geometry to three K1+ and two Bi5+ atoms. In the seventeenth O2- site, O2- is bonded in a 4-coordinate geometry to two K1+ and two Bi5+ atoms. In the eighteenth O2- site, O2- is bonded in a 4-coordinate geometry to two K1+ and two Bi5+ atoms. In the nineteenth O2- site, O2- is bonded in a 4-coordinate geometry to two K1+ and two Bi5+ atoms. In the twentieth O2- site, O2- is bonded to two K1+ and two Bi5+ atoms to form a mixture of distorted edge and corner-sharing OK2Bi2 trigonal pyramids. In the twenty-first O2- site, O2- is bonded in a 4-coordinate geometry to two K1+ and two Bi5+ atoms. In the twenty-second O2- site, O2- is bonded to two K1+ and two Bi5+ atoms to form a mixture of distorted edge and corner-sharing OK2Bi2 tetrahedra. In the twenty-third O2- site, O2- is bonded in a 4-coordinate geometry to two K1+ and two Bi5+ atoms. In the twenty-fourth O2- site, O2- is bonded in a 5-coordinate geometry to three K1+ and two Bi5+ atoms. In the twenty-fifth O2- site, O2- is bonded in a 2-coordinate geometry to two K1+ and two Bi5+ atoms. In the twenty-sixth O2- site, O2- is bonded in a 2-coordinate geometry to two K1+ and two Bi5+ atoms. In the twenty-seventh O2- site, O2- is bonded in a 2-coordinate geometry to two K1+ and two Bi5+ atoms. In the twenty-eighth O2- site, O2- is bonded in a 2-coordinate geometry to two K1+ and two Bi5+ atoms. In the twenty-ninth O2- site, O2- is bonded to two K1+ and two Bi5+ atoms to form distorted corner-sharing OK2Bi2 tetrahedra. In the thirtieth O2- site, O2- is bonded in a 4-coordinate geometry to three K1+ and two Bi5+ atoms. In the thirty-first O2- site, O2- is bonded in a 2-coordinate geometry to two K1+ and two Bi5+ atoms. In the thirty-second O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one K1+ and two Bi5+ atoms. In the thirty-third O2- site, O2- is bonded to two K1+ and two Bi5+ atoms to form distorted corner-sharing OK2Bi2 tetrahedra. In the thirty-fourth O2- site, O2- is bonded in a 5-coordinate geometry to three K1+ and two Bi5+ atoms. In the thirty-fifth O2- site, O2- is bonded to two K1+ and two Bi5+ atoms to form a mixture of distorted edge and corner-sharing OK2Bi2 tetrahedra. In the thirty-sixth O2- site, O2- is bonded in a 4-coordinate geometry to two K1+ and two Bi5+ atoms. In the thirty-seventh O2- site, O2- is bonded in a 2-coordinate geometry to three K1+ and two Bi5+ atoms. In the thirty-eighth O2- site, O2- is bonded in a 4-coordinate geometry to two K1+ and two Bi5+ atoms. In the thirty-ninth O2- site, O2- is bonded in a 2-coordinate geometry to one K1+ and two Bi5+ atoms. In the fortieth O2- site, O2- is bonded in a distorted water-like geometry to two K1+ and two Bi5+ atoms. In the forty-first O2- site, O2- is bonded in a 4-coordinate geometry to two K1+ and two Bi5+ atoms. In the forty-second O2- site, O2-

36 MATERIALS SCIENCE↗

Materials Data on Ce7(GePd2)2 by Materials Project

Ce7Pd4Ge2 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twenty-eight inequivalent Ce sites. In the first Ce site, Ce is bonded in a 2-coordinate geometry to one Ce, four Pd, and one Ge atom. The Ce–Ce bond length is 2.86 Å. There are a spread of Ce–Pd bond distances ranging from 2.80–3.25 Å. The Ce–Ge bond length is 3.45 Å. In the second Ce site, Ce is bonded in a 3-coordinate geometry to one Ce, four Pd, and two Ge atoms. The Ce–Ce bond length is 2.77 Å. There are a spread of Ce–Pd bond distances ranging from 2.87–3.78 Å. There are one shorter (3.17 Å) and one longer (3.29 Å) Ce–Ge bond lengths. In the third Ce site, Ce is bonded in a 4-coordinate geometry to three Pd and two Ge atoms. There are a spread of Ce–Pd bond distances ranging from 2.75–3.14 Å. There are one shorter (2.94 Å) and one longer (2.96 Å) Ce–Ge bond lengths. In the fourth Ce site, Ce is bonded in a 2-coordinate geometry to one Ce, five Pd, and one Ge atom. The Ce–Ce bond length is 3.03 Å. There are a spread of Ce–Pd bond distances ranging from 2.83–3.44 Å. The Ce–Ge bond length is 3.12 Å. In the fifth Ce site, Ce is bonded in a 5-coordinate geometry to four Pd and three Ge atoms. There are a spread of Ce–Pd bond distances ranging from 3.11–3.89 Å. There are a spread of Ce–Ge bond distances ranging from 3.09–3.19 Å. In the sixth Ce site, Ce is bonded in a 2-coordinate geometry to one Ce, four Pd, and one Ge atom. The Ce–Ce bond length is 2.85 Å. There are a spread of Ce–Pd bond distances ranging from 2.80–3.26 Å. The Ce–Ge bond length is 3.43 Å. In the seventh Ce site, Ce is bonded in a 5-coordinate geometry to four Pd and three Ge atoms. There are a spread of Ce–Pd bond distances ranging from 3.11–3.90 Å. There are a spread of Ce–Ge bond distances ranging from 3.08–3.18 Å. In the eighth Ce site, Ce is bonded in a 4-coordinate geometry to three Pd and two Ge atoms. There are a spread of Ce–Pd bond distances ranging from 2.76–3.13 Å. There are one shorter (2.93 Å) and one longer (2.96 Å) Ce–Ge bond lengths. In the ninth Ce site, Ce is bonded in a 6-coordinate geometry to six Pd and three Ge atoms. There are a spread of Ce–Pd bond distances ranging from 2.95–3.65 Å. There are a spread of Ce–Ge bond distances ranging from 3.13–3.21 Å. In the tenth Ce site, Ce is bonded in a 6-coordinate geometry to six Pd and three Ge atoms. There are a spread of Ce–Pd bond distances ranging from 2.95–3.65 Å. There are a spread of Ce–Ge bond distances ranging from 3.13–3.21 Å. In the eleventh Ce site, Ce is bonded in a 2-coordinate geometry to one Ce, four Pd, and one Ge atom. The Ce–Ce bond length is 2.89 Å. There are a spread of Ce–Pd bond distances ranging from 2.81–3.25 Å. The Ce–Ge bond length is 3.44 Å. In the twelfth Ce site, Ce is bonded in a 8-coordinate geometry to three Ce, four Pd, and one Ge atom. There are one shorter (2.77 Å) and one longer (2.86 Å) Ce–Ce bond lengths. There are a spread of Ce–Pd bond distances ranging from 3.11–3.40 Å. The Ce–Ge bond length is 3.01 Å. In the thirteenth Ce site, Ce is bonded in a 3-coordinate geometry to one Ce, four Pd, and two Ge atoms. There are a spread of Ce–Pd bond distances ranging from 2.88–3.78 Å. There are one shorter (3.18 Å) and one longer (3.30 Å) Ce–Ge bond lengths. In the fourteenth Ce site, Ce is bonded in a 3-coordinate geometry to one Ce, four Pd, and one Ge atom. There are a spread of Ce–Pd bond distances ranging from 2.81–3.26 Å. The Ce–Ge bond length is 3.44 Å. In the fifteenth Ce site, Ce is bonded in a 4-coordinate geometry to three Pd and two Ge atoms. There are a spread of Ce–Pd bond distances ranging from 2.76–3.13 Å. There are one shorter (2.94 Å) and one longer (2.95 Å) Ce–Ge bond lengths. In the sixteenth Ce site, Ce is bonded in a 5-coordinate geometry to four Pd and three Ge atoms. There are a spread of Ce–Pd bond distances ranging from 3.11–3.90 Å. There are a spread of Ce–Ge bond distances ranging from 3.08–3.18 Å. In the seventeenth Ce site, Ce is bonded in a 8-coordinate geometry to three Ce, four Pd, and one Ge atom. There are one shorter (2.77 Å) and one longer (3.05 Å) Ce–Ce bond lengths. There are a spread of Ce–Pd bond distances ranging from 3.10–3.40 Å. The Ce–Ge bond length is 3.02 Å. In the eighteenth Ce site, Ce is bonded in a 8-coordinate geometry to three Ce, four Pd, and one Ge atom. The Ce–Ce bond length is 3.03 Å. There are a spread of Ce–Pd bond distances ranging from 3.11–3.39 Å. The Ce–Ge bond length is 3.02 Å. In the nineteenth Ce site, Ce is bonded in a 6-coordinate geometry to six Pd and three Ge atoms. There are a spread of Ce–Pd bond distances ranging from 2.95–3.64 Å. There are a spread of Ce–Ge bond distances ranging from 3.13–3.21 Å. In the twentieth Ce site, Ce is bonded in a 5-coordinate geometry to four Pd and three Ge atoms. There are a spread of Ce–Pd bond distances ranging from 3.11–3.89 Å. There are a spread of Ce–Ge bond distances ranging from 3.08–3.19 Å. In the twenty-first Ce site, Ce is bonded in a 8-coordinate geometry to three Ce, four Pd, and one Ge atom. There are one shorter (2.77 Å) and one longer (3.04 Å) Ce–Ce bond lengths. There are a spread of Ce–Pd bond distances ranging from 3.10–3.40 Å. The Ce–Ge bond length is 3.02 Å. In the twenty-second Ce site, Ce is bonded in a 6-coordinate geometry to six Pd and three Ge atoms. There are a spread of Ce–Pd bond distances ranging from 2.95–3.64 Å. There are a spread of Ce–Ge bond distances ranging from 3.13–3.20 Å. In the twenty-third Ce site, Ce is bonded in a 3-coordinate geometry to one Ce, four Pd, and two Ge atoms. There are a spread of Ce–Pd bond distances ranging from 2.86–3.79 Å. There are one shorter (3.16 Å) and one longer (3.30 Å) Ce–Ge bond lengths. In the twenty-fourth Ce site, Ce is bonded in a 2-coordinate geometry to one Ce, five Pd, and one Ge atom. There are a spread of Ce–Pd bond distances ranging from 2.82–3.43 Å. The Ce–Ge bond length is 3.12 Å. In the twenty-fifth Ce site, Ce is bonded in a 3-coordinate geometry to one Ce, four Pd, and two Ge atoms. There are a spread of Ce–Pd bond distances ranging from 2.87–3.78 Å. There are one shorter (3.17 Å) and one longer (3.30 Å) Ce–Ge bond lengths. In the twenty-sixth Ce site, Ce is bonded in a 4-coordinate geometry to three Pd and two Ge atoms. There are a spread of Ce–Pd bond distances ranging from 2.75–3.13 Å. Both Ce–Ge bond lengths are 2.95 Å. In the twenty-seventh Ce site, Ce is bonded in a 2-coordinate geometry to one Ce, five Pd, and one Ge atom. There are a spread of Ce–Pd bond distances ranging from 2.82–3.44 Å. The Ce–Ge bond length is 3.13 Å. In the twenty-eighth Ce site, Ce is bonded in a 2-coordinate geometry to one Ce, five Pd, and one Ge atom. There are a spread of Ce–Pd bond distances ranging from 2.82–3.42 Å. The Ce–Ge bond length is 3.12 Å. There are sixteen inequivalent Pd sites. In the first Pd site, Pd is bonded in a 10-coordinate geometry to eight Ce and two Ge atoms. There are one shorter (2.64 Å) and one longer (2.88 Å) Pd–Ge bond lengths. In the second Pd site, Pd is bonded in a 5-coordinate geometry to seven Ce, one Pd, and two Ge atoms. The Pd–Pd bond length is 2.94 Å. There are one shorter (2.61 Å) and one longer (3.12 Å) Pd–Ge bond lengths. In the third Pd site, Pd is bonded in a 10-coordinate geometry to eight Ce and two Ge atoms. There are one shorter (2.64 Å) and one longer (2.88 Å) Pd–Ge bond lengths. In the fourth Pd site, Pd is bonded in a 9-coordinate geometry to six Ce and two Pd atoms. The Pd–Pd bond length is 2.92 Å. In the fifth Pd site, Pd is bonded in a 10-coordinate geometry to eight Ce and two Ge atoms. There are one shorter (2.64 Å) and one longer (2.88 Å) Pd–Ge bond lengths. In the sixth Pd site, Pd is bonded in a 4-coordinate geometry to nine Ce and one Pd atom. The Pd–Pd bond length is 2.92 Å. In the seventh Pd site, Pd is bonded in a 4-coordinate geometry to nine Ce and one Pd atom. The Pd–Pd bond length is 2.92 Å. In the eighth Pd site, Pd is bonded in a 10-coordinate geometry to nine Ce and one Pd atom. In the ninth Pd site, Pd is bonded in a 4-coordinate geometry to nine Ce and one Pd atom. The Pd–Pd bond length is 2.92 Å. In the tenth Pd site, Pd is bonded in a 10-coordinate geometry to eight Ce and two Ge atoms. There are one shorter (2.64 Å) and one longer (2.87 Å) Pd–Ge bond lengths. In the eleventh Pd site, Pd is bonded in a 9-coordinate geometry to six Ce and three Pd atoms. There are one shorter (2.94 Å) and one longer (2.97 Å) Pd–Pd bond lengths. In the twelfth Pd site, Pd is bonded in a 5-coordinate geometry to seven Ce, one Pd, and two Ge atoms. There are one shorter (2.61 Å) and one longer (3.11 Å) Pd–Ge bond lengths. In the thirteenth Pd site, Pd is bonded in a 9-coordinate geometry to six Ce and three Pd atoms. The Pd–Pd bond length is 2.94 Å. In the fourteenth Pd site, Pd is bonded in a 9-coordinate geometry to six Ce and two Pd atoms. The Pd–Pd bond length is 2.94 Å. In the fifteenth Pd site, Pd is bonded in a 5-coordinate geometry to seven Ce, one Pd, and two Ge atoms. There are one shorter (2.62 Å) and one longer (3.12 Å) Pd–Ge bond lengths. In the sixteenth Pd site, Pd is bonded in a 5-coordinate geometry to seven Ce, one Pd, and two Ge atoms. There are one shorter (2.61 Å) and one longer (3.12 Å) Pd–Ge bond lengths. There are eight inequivalent Ge sites. In the first Ge site, Ge is bonded in a 10-coordinate geometry to seven Ce, two Pd, and one Ge atom. The Ge–Ge bond length is 2.58 Å. In the second Ge site, Ge is bonded in a 10-coordinate geometry to seven Ce, two Pd, and one Ge atom. The Ge–Ge bond length is 2.58 Å. In the third Ge site, Ge is bonded in a 9-coordinate geometry to six Ce, two Pd, and one Ge atom. The Ge–Ge bond length is 2.59 Å. In the fourth Ge site, Ge is bonded in a 9-coordinate geometry to six Ce, two Pd, and one Ge atom. In the fifth Ge site, Ge is bonded in a 10-coordinate geometry to seven Ce, two Pd, and one Ge atom. In the sixth Ge site, Ge is bonded in a 9-coordinate geometry to six Ce, two Pd, and one Ge atom. The Ge–Ge bond length is 2.59 Å. In the seventh Ge site, Ge is bonded in a 10-coordinate geometry to seven Ce, two Pd, and one Ge atom. In the eighth Ge site, Ge is bonded in a 9-coordinate geometry to six Ce, two Pd, and one Ge atom.

36 MATERIALS SCIENCE↗

Materials Data on La7Ti27Al5(CuO4)24 by Materials Project

La7Ti27Al5(CuO4)24 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are seven inequivalent La sites. In the first La site, La is bonded to twelve O atoms to form LaO12 cuboctahedra that share faces with three AlO6 octahedra and faces with five TiO6 octahedra. There are a spread of La–O bond distances ranging from 2.59–2.67 Å. In the second La site, La is bonded to twelve O atoms to form LaO12 cuboctahedra that share faces with three AlO6 octahedra and faces with five TiO6 octahedra. There are a spread of La–O bond distances ranging from 2.58–2.65 Å. In the third La site, La is bonded to twelve O atoms to form LaO12 cuboctahedra that share faces with two equivalent AlO6 octahedra and faces with six TiO6 octahedra. There are a spread of La–O bond distances ranging from 2.58–2.65 Å. In the fourth La site, La is bonded to twelve O atoms to form LaO12 cuboctahedra that share faces with eight TiO6 octahedra. There are a spread of La–O bond distances ranging from 2.59–2.62 Å. In the fifth La site, La is bonded to twelve O atoms to form LaO12 cuboctahedra that share faces with eight TiO6 octahedra. There are five shorter (2.60 Å) and seven longer (2.61 Å) La–O bond lengths. In the sixth La site, La is bonded to twelve O atoms to form LaO12 cuboctahedra that share faces with eight TiO6 octahedra. There are a spread of La–O bond distances ranging from 2.58–2.63 Å. In the seventh La site, La is bonded to twelve O atoms to form LaO12 cuboctahedra that share faces with two equivalent AlO6 octahedra and faces with six TiO6 octahedra. There are a spread of La–O bond distances ranging from 2.53–2.71 Å. There are twenty-seven inequivalent Ti sites. In the first Ti site, Ti is bonded to six O atoms to form TiO6 octahedra that share a cornercorner with one AlO6 octahedra, corners with five TiO6 octahedra, and a faceface with one LaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 39–44°. There are a spread of Ti–O bond distances ranging from 1.89–2.10 Å. In the second Ti site, Ti is bonded to six O atoms to form TiO6 octahedra that share corners with three TiO6 octahedra, corners with three AlO6 octahedra, and faces with two equivalent LaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 39–41°. There are a spread of Ti–O bond distances ranging from 1.97–2.02 Å. In the third Ti site, Ti is bonded to six O atoms to form TiO6 octahedra that share a cornercorner with one AlO6 octahedra, corners with five TiO6 octahedra, and a faceface with one LaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 40–44°. There are a spread of Ti–O bond distances ranging from 1.90–2.10 Å. In the fourth Ti site, Ti is bonded to six O atoms to form TiO6 octahedra that share corners with three TiO6 octahedra, corners with three AlO6 octahedra, and faces with two equivalent LaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 37–41°. There are a spread of Ti–O bond distances ranging from 1.94–2.03 Å. In the fifth Ti site, Ti is bonded to six O atoms to form TiO6 octahedra that share corners with two TiO6 octahedra, corners with four AlO6 octahedra, and faces with two LaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 38–41°. There are a spread of Ti–O bond distances ranging from 1.97–2.01 Å. In the sixth Ti site, Ti is bonded to six O atoms to form TiO6 octahedra that share corners with two equivalent AlO6 octahedra, corners with four TiO6 octahedra, and faces with two equivalent LaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 36–41°. There are a spread of Ti–O bond distances ranging from 1.95–2.02 Å. In the seventh Ti site, Ti is bonded to six O atoms to form TiO6 octahedra that share corners with two AlO6 octahedra, corners with four TiO6 octahedra, and faces with two LaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 37–40°. There are a spread of Ti–O bond distances ranging from 1.95–2.01 Å. In the eighth Ti site, Ti is bonded to six O atoms to form TiO6 octahedra that share corners with two AlO6 octahedra, corners with four TiO6 octahedra, and faces with two LaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 38–41°. There are a spread of Ti–O bond distances ranging from 1.95–2.02 Å. In the ninth Ti site, Ti is bonded to six O atoms to form TiO6 octahedra that share a cornercorner with one AlO6 octahedra, corners with five TiO6 octahedra, and faces with two LaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 37–40°. There are a spread of Ti–O bond distances ranging from 1.93–2.05 Å. In the tenth Ti site, Ti is bonded to six O atoms to form TiO6 octahedra that share corners with six TiO6 octahedra and faces with two equivalent LaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 37–40°. There are a spread of Ti–O bond distances ranging from 1.96–1.99 Å. In the eleventh Ti site, Ti is bonded to six O atoms to form TiO6 octahedra that share a cornercorner with one AlO6 octahedra, corners with five TiO6 octahedra, and faces with two LaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 37–41°. There are a spread of Ti–O bond distances ranging from 1.93–2.05 Å. In the twelfth Ti site, Ti is bonded to six O atoms to form TiO6 octahedra that share corners with six TiO6 octahedra and faces with two equivalent LaO12 cuboctahedra. The corner-sharing octahedral tilt angles are 38°. There is three shorter (1.97 Å) and three longer (1.98 Å) Ti–O bond length. In the thirteenth Ti site, Ti is bonded to six O atoms to form TiO6 octahedra that share corners with six TiO6 octahedra and faces with two LaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 38–39°. There are a spread of Ti–O bond distances ranging from 1.96–1.98 Å. In the fourteenth Ti site, Ti is bonded to six O atoms to form TiO6 octahedra that share corners with six TiO6 octahedra and faces with two equivalent LaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 37–40°. There are a spread of Ti–O bond distances ranging from 1.95–2.00 Å. In the fifteenth Ti site, Ti is bonded to six O atoms to form TiO6 octahedra that share corners with six TiO6 octahedra and faces with two LaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 38–40°. There are a spread of Ti–O bond distances ranging from 1.96–1.99 Å. In the sixteenth Ti site, Ti is bonded to six O atoms to form TiO6 octahedra that share corners with six TiO6 octahedra and faces with two LaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 38–39°. There are a spread of Ti–O bond distances ranging from 1.96–1.98 Å. In the seventeenth Ti site, Ti is bonded to six O atoms to form TiO6 octahedra that share corners with six TiO6 octahedra and faces with two equivalent LaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 37–41°. There are a spread of Ti–O bond distances ranging from 1.95–2.00 Å. In the eighteenth Ti site, Ti is bonded to six O atoms to form TiO6 octahedra that share corners with six TiO6 octahedra and faces with two LaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 38–39°. There are a spread of Ti–O bond distances ranging from 1.96–1.99 Å. In the nineteenth Ti site, Ti is bonded to six O atoms to form TiO6 octahedra that share corners with six TiO6 octahedra and faces with two equivalent LaO12 cuboctahedra. The corner-sharing octahedral tilt angles are 38°. There is three shorter (1.97 Å) and three longer (1.98 Å) Ti–O bond length. In the twentieth Ti site, Ti is bonded to six O atoms to form TiO6 octahedra that share corners with two equivalent AlO6 octahedra, corners with four TiO6 octahedra, and faces with two equivalent LaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 34–43°. There are a spread of Ti–O bond distances ranging from 1.92–2.06 Å. In the twenty-first Ti site, Ti is bonded to six O atoms to form TiO6 octahedra that share a cornercorner with one AlO6 octahedra, corners with five TiO6 octahedra, and faces with two LaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 37–41°. There are a spread of Ti–O bond distances ranging from 1.92–2.06 Å. In the twenty-second Ti site, Ti is bonded to six O atoms to form TiO6 octahedra that share corners with six TiO6 octahedra and faces with two equivalent LaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 37–40°. There are a spread of Ti–O bond distances ranging from 1.94–2.02 Å. In the twenty-third Ti site, Ti is bonded to six O atoms to form TiO6 octahedra that share a cornercorner with one AlO6 octahedra, corners with five TiO6 octahedra, and faces with two LaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 37–43°. There are a spread of Ti–O bond distances ranging from 1.91–2.07 Å. In the twenty-fourth Ti site, Ti is bonded to six O atoms to form TiO6 octahedra that share a cornercorner with one AlO6 octahedra, corners with five TiO6 octahedra, and a faceface with one LaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 37–43°. There are a spread of Ti–O bond distances ranging from 1.89–2.11 Å. In the twenty-fifth Ti site, Ti is bonded to six O atoms to form TiO6 octahedra that share a cornercorner with one AlO6 octahedra, corners with five TiO6 octahedra, and a faceface with one LaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 38–43°. There are a spread of Ti–O bond distances ranging from 1.88–2.11 Å. In the twenty-sixth Ti site, Ti is bonded to six O atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 41–43°. There is two shorter (1.99 Å) and four longer (2.00 Å) Ti–O bond length. In the twenty-seventh Ti site, Ti is bonded to six O atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 41–42°. There are a spread of Ti–O bond distances ranging from 1.97–1.99 Å. There are twenty-four inequivalent Cu sites. In the first Cu site, Cu is bonded in a square co-planar geometry to four O atoms. There are a spread of Cu–O bond distances ranging from 1.94–1.97 Å. In the second Cu site, Cu is bonded in a square co-planar geometry to four O atoms. There is one shorter (1.94 Å) and three longer (1.96 Å) Cu–O bond length. In the third Cu site, Cu is bonded in a square co-planar geometry to four O atoms. There are a spread of Cu–O bond distances ranging from 1.95–1.99 Å. In the fourth Cu site, Cu is bonded in a square co-planar geometry to four O atoms. There is two shorter (1.96 Å) and two longer (1.97 Å) Cu–O bond length. In the fifth Cu site, Cu is bonded in a square co-planar geometry to four O atoms. There are a spread of Cu–O bond distances ranging from 1.99–2.01 Å. In the sixth Cu site, Cu is bonded in a square co-planar geometry to four O atoms. There are three shorter (1.99 Å) and one longer (2.03 Å) Cu–O bond lengths. In the seventh Cu site, Cu is bonded in a square co-planar geometry to four O atoms. There are a spread of Cu–O bond distances ranging from 1.99–2.01 Å. In the eighth Cu site, Cu is bonded in a square co-planar geometry to four O atoms. There are three shorter (1.99 Å) and one longer (2.02 Å) Cu–O bond lengths. In the ninth Cu site, Cu is bonded in a square co-planar geometry to four O atoms. There are a spread of Cu–O bond distances ranging from 1.98–2.01 Å. In the tenth Cu site, Cu is bonded in a square co-planar geometry to four O atoms. There are a spread of Cu–O bond distances ranging from 1.98–2.02 Å. In the eleventh Cu site, Cu is bonded in a square co-planar geometry to four O atoms. There are two shorter (2.00 Å) and two longer (2.01 Å) Cu–O bond lengths. In the twelfth Cu site, Cu is bonded in a square co-planar geometry to four O atoms. There are three shorter (2.00 Å) and one longer (2.01 Å) Cu–O bond lengths. In the thirteenth Cu site, Cu

36 MATERIALS SCIENCE↗

Materials Data on Mo9O26 by Materials Project

Mo9O26 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are thirty-six inequivalent Mo+5.78+ sites. In the first Mo+5.78+ site, Mo+5.78+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Mo–O bond distances ranging from 1.74–2.37 Å. In the second Mo+5.78+ site, Mo+5.78+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Mo–O bond distances ranging from 1.74–2.39 Å. In the third Mo+5.78+ site, Mo+5.78+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Mo–O bond distances ranging from 1.74–2.40 Å. In the fourth Mo+5.78+ site, Mo+5.78+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Mo–O bond distances ranging from 1.75–2.37 Å. In the fifth Mo+5.78+ site, Mo+5.78+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Mo–O bond distances ranging from 1.75–2.40 Å. In the sixth Mo+5.78+ site, Mo+5.78+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Mo–O bond distances ranging from 1.74–2.39 Å. In the seventh Mo+5.78+ site, Mo+5.78+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Mo–O bond distances ranging from 1.75–2.36 Å. In the eighth Mo+5.78+ site, Mo+5.78+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Mo–O bond distances ranging from 1.75–2.38 Å. In the ninth Mo+5.78+ site, Mo+5.78+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Mo–O bond distances ranging from 1.74–2.40 Å. In the tenth Mo+5.78+ site, Mo+5.78+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Mo–O bond distances ranging from 1.74–2.39 Å. In the eleventh Mo+5.78+ site, Mo+5.78+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Mo–O bond distances ranging from 1.74–2.36 Å. In the twelfth Mo+5.78+ site, Mo+5.78+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Mo–O bond distances ranging from 1.75–2.38 Å. In the thirteenth Mo+5.78+ site, Mo+5.78+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Mo–O bond distances ranging from 1.74–2.41 Å. In the fourteenth Mo+5.78+ site, Mo+5.78+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Mo–O bond distances ranging from 1.75–2.39 Å. In the fifteenth Mo+5.78+ site, Mo+5.78+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Mo–O bond distances ranging from 1.75–2.35 Å. In the sixteenth Mo+5.78+ site, Mo+5.78+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Mo–O bond distances ranging from 1.74–2.38 Å. In the seventeenth Mo+5.78+ site, Mo+5.78+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Mo–O bond distances ranging from 1.74–2.41 Å. In the eighteenth Mo+5.78+ site, Mo+5.78+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Mo–O bond distances ranging from 1.74–2.38 Å. In the nineteenth Mo+5.78+ site, Mo+5.78+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Mo–O bond distances ranging from 1.74–2.41 Å. In the twentieth Mo+5.78+ site, Mo+5.78+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Mo–O bond distances ranging from 1.74–2.40 Å. In the twenty-first Mo+5.78+ site, Mo+5.78+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Mo–O bond distances ranging from 1.74–2.38 Å. In the twenty-second Mo+5.78+ site, Mo+5.78+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Mo–O bond distances ranging from 1.75–2.38 Å. In the twenty-third Mo+5.78+ site, Mo+5.78+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Mo–O bond distances ranging from 1.74–2.41 Å. In the twenty-fourth Mo+5.78+ site, Mo+5.78+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Mo–O bond distances ranging from 1.75–2.37 Å. In the twenty-fifth Mo+5.78+ site, Mo+5.78+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Mo–O bond distances ranging from 1.74–2.38 Å. In the twenty-sixth Mo+5.78+ site, Mo+5.78+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Mo–O bond distances ranging from 1.74–2.38 Å. In the twenty-seventh Mo+5.78+ site, Mo+5.78+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Mo–O bond distances ranging from 1.74–2.39 Å. In the twenty-eighth Mo+5.78+ site, Mo+5.78+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Mo–O bond distances ranging from 1.75–2.35 Å. In the twenty-ninth Mo+5.78+ site, Mo+5.78+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Mo–O bond distances ranging from 1.74–2.40 Å. In the thirtieth Mo+5.78+ site, Mo+5.78+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Mo–O bond distances ranging from 1.74–2.39 Å. In the thirty-first Mo+5.78+ site, Mo+5.78+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Mo–O bond distances ranging from 1.74–2.41 Å. In the thirty-second Mo+5.78+ site, Mo+5.78+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Mo–O bond distances ranging from 1.74–2.41 Å. In the thirty-third Mo+5.78+ site, Mo+5.78+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Mo–O bond distances ranging from 1.75–2.38 Å. In the thirty-fourth Mo+5.78+ site, Mo+5.78+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Mo–O bond distances ranging from 1.75–2.35 Å. In the thirty-fifth Mo+5.78+ site, Mo+5.78+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Mo–O bond distances ranging from 1.74–2.41 Å. In the thirty-sixth Mo+5.78+ site, Mo+5.78+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Mo–O bond distances ranging from 1.75–2.36 Å. There are one hundred and four inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted single-bond geometry to two Mo+5.78+ atoms. In the second O2- site, O2- is bonded in a linear geometry to two Mo+5.78+ atoms. In the third O2- site, O2- is bonded in a 3-coordinate geometry to three Mo+5.78+ atoms. In the fourth O2- site, O2- is bonded in a linear geometry to two Mo+5.78+ atoms. In the fifth O2- site, O2- is bonded in a linear geometry to two Mo+5.78+ atoms. In the sixth O2- site, O2- is bonded in a linear geometry to two Mo+5.78+ atoms. In the seventh O2- site, O2- is bonded in a linear geometry to two Mo+5.78+ atoms. In the eighth O2- site, O2- is bonded in a 3-coordinate geometry to three Mo+5.78+ atoms. In the ninth O2- site, O2- is bonded in a linear geometry to two Mo+5.78+ atoms. In the tenth O2- site, O2- is bonded in a linear geometry to two Mo+5.78+ atoms. In the eleventh O2- site, O2- is bonded in a distorted linear geometry to two Mo+5.78+ atoms. In the twelfth O2- site, O2- is bonded in a bent 120 degrees geometry to two Mo+5.78+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted single-bond geometry to two Mo+5.78+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted single-bond geometry to two Mo+5.78+ atoms. In the fifteenth O2- site, O2- is bonded in a bent 150 degrees geometry to two Mo+5.78+ atoms. In the sixteenth O2- site, O2- is bonded in a distorted single-bond geometry to two Mo+5.78+ atoms. In the seventeenth O2- site, O2- is bonded in a distorted single-bond geometry to two Mo+5.78+ atoms. In the eighteenth O2- site, O2- is bonded in a linear geometry to two Mo+5.78+ atoms. In the nineteenth O2- site, O2- is bonded in a linear geometry to two Mo+5.78+ atoms. In the twentieth O2- site, O2- is bonded in a linear geometry to two Mo+5.78+ atoms. In the twenty-first O2- site, O2- is bonded in a distorted single-bond geometry to two Mo+5.78+ atoms. In the twenty-second O2- site, O2- is bonded in a linear geometry to two Mo+5.78+ atoms. In the twenty-third O2- site, O2- is bonded in a distorted single-bond geometry to two Mo+5.78+ atoms. In the twenty-fourth O2- site, O2- is bonded in a distorted single-bond geometry to two Mo+5.78+ atoms. In the twenty-fifth O2- site, O2- is bonded in a linear geometry to two Mo+5.78+ atoms. In the twenty-sixth O2- site, O2- is bonded in a distorted single-bond geometry to two Mo+5.78+ atoms. In the twenty-seventh O2- site, O2- is bonded in a linear geometry to two Mo+5.78+ atoms. In the twenty-eighth O2- site, O2- is bonded in a linear geometry to two Mo+5.78+ atoms. In the twenty-ninth O2- site, O2- is bonded in a linear geometry to two Mo+5.78+ atoms. In the thirtieth O2- site, O2- is bonded in a linear geometry to two Mo+5.78+ atoms. In the thirty-first O2- site, O2- is bonded in a linear geometry to two Mo+5.78+ atoms. In the thirty-second O2- site, O2- is bonded in a distorted single-bond geometry to two Mo+5.78+ atoms. In the thirty-third O2- site, O2- is bonded in a bent 120 degrees geometry to two Mo+5.78+ atoms. In the thirty-fourth O2- site, O2- is bonded in a linear geometry to two Mo+5.78+ atoms. In the thirty-fifth O2- site, O2- is bonded in a linear geometry to two Mo+5.78+ atoms. In the thirty-sixth O2- site, O2- is bonded in a distorted single-bond geometry to two Mo+5.78+ atoms. In the thirty-seventh O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Mo+5.78+ atoms. In the thirty-eighth O2- site, O2- is bonded in a distorted single-bond geometry to two Mo+5.78+ atoms. In the thirty-ninth O2- site, O2- is bonded in a 3-coordinate geometry to three Mo+5.78+ atoms. In the fortieth O2- site, O2- is bonded in a linear geometry to two Mo+5.78+ atoms. In the forty-first O2- site, O2- is bonded in a distorted single-bond geometry to two Mo+5.78+ atoms. In the forty-second O2- site, O2- is bonded in a 3-coordinate geometry to three Mo+5.78+ atoms. In the forty-third O2- site, O2- is bonded in a distorted single-bond geometry to two Mo+5.78+ atoms. In the forty-fourth O2- site, O2- is bonded in a 3-coordinate geometry to three Mo+5.78+ atoms. In the forty-fifth O2- site, O2- is bonded in a linear geometry to two Mo+5.78+ atoms. In the forty-sixth O2- site, O2- is bonded in a distorted single-bond geometry to two Mo+5.78+ atoms. In the forty-seventh O2- site, O2- is bonded in a distorted single-bond geometry to two Mo+5.78+ atoms. In the forty-eighth O2- site, O2- is bonded in a linear geometry to two Mo+5.78+ atoms. In the forty-ninth O2- site, O2- is bonded in a distorted single-bond geometry to two Mo+5.78+ atoms. In the fiftieth O2- site, O2- is bonded in a 3-coordinate geometry to three Mo+5.78+ atoms. In the fifty-first O2- site, O2- is bonded in a linear geometry to two Mo+5.78+ atoms. In the fifty-second O2- site, O2- is bonded in a linear geometry to two Mo+5.78+ atoms. In the fifty-third O2- site, O2- is bonded in a distorted single-bond geometry to two Mo+5.78+ atoms. In the fifty-fourth O2- site, O2- is bonded in a distorted single-bond geometry to two Mo+5.78+ atoms. In the fifty-fifth O2- site, O2- is bonded in a linear geometry to two Mo+5.78+ atoms. In the fifty-sixth O2- site, O2- is bonded in a distorted single-bond geometry to two Mo+5.78+ atoms. In the fifty-seventh O2- site, O2- is bonded in a distorted single-bond geometry to two Mo+5.78+ atoms. In the fifty-eighth O2- site, O2- is bonded in a distorted single-bond geometry to two Mo+5.78+ atoms. In the fifty-ninth O2- site, O2- is bonded in a linear geometry to two Mo+5.78+ atoms. In the sixtieth O2- site, O2- is bonded in a distorted single-bond geometry to two Mo+5.78+ atoms. In the sixty-first O2- site, O2- is bonded in a linear geometry to two Mo+5.78+ atoms. In the sixty-second O2- site, O2- is bonded in a linear geometry to two Mo+5.78+ atoms. In the sixty-third O2- site, O2- is bonded in a bent 120 degrees geometr

36 MATERIALS SCIENCE↗

Materials Data on Na17(WO3)19 by Materials Project

Na17(WO3)19 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are seventeen inequivalent Na sites. In the first Na site, Na is bonded to twelve O atoms to form NaO12 cuboctahedra that share corners with eleven NaO12 cuboctahedra, faces with five NaO12 cuboctahedra, and faces with eight WO6 octahedra. There are a spread of Na–O bond distances ranging from 2.76–2.83 Å. In the second Na site, Na is bonded to twelve O atoms to form NaO12 cuboctahedra that share corners with eleven NaO12 cuboctahedra, faces with five NaO12 cuboctahedra, and faces with eight WO6 octahedra. There are a spread of Na–O bond distances ranging from 2.74–2.87 Å. In the third Na site, Na is bonded to twelve O atoms to form NaO12 cuboctahedra that share corners with nine NaO12 cuboctahedra, faces with six NaO12 cuboctahedra, and faces with eight WO6 octahedra. There are a spread of Na–O bond distances ranging from 2.72–2.87 Å. In the fourth Na site, Na is bonded to twelve O atoms to form NaO12 cuboctahedra that share corners with eleven NaO12 cuboctahedra, faces with five NaO12 cuboctahedra, and faces with eight WO6 octahedra. There are a spread of Na–O bond distances ranging from 2.75–2.84 Å. In the fifth Na site, Na is bonded to twelve O atoms to form NaO12 cuboctahedra that share corners with eleven NaO12 cuboctahedra, faces with five NaO12 cuboctahedra, and faces with eight WO6 octahedra. There are a spread of Na–O bond distances ranging from 2.78–2.87 Å. In the sixth Na site, Na is bonded to twelve O atoms to form NaO12 cuboctahedra that share corners with nine NaO12 cuboctahedra, faces with six NaO12 cuboctahedra, and faces with eight WO6 octahedra. There are a spread of Na–O bond distances ranging from 2.76–2.84 Å. In the seventh Na site, Na is bonded to twelve O atoms to form NaO12 cuboctahedra that share corners with eleven NaO12 cuboctahedra, faces with five NaO12 cuboctahedra, and faces with eight WO6 octahedra. There are a spread of Na–O bond distances ranging from 2.74–2.86 Å. In the eighth Na site, Na is bonded to twelve O atoms to form NaO12 cuboctahedra that share corners with eleven NaO12 cuboctahedra, faces with five NaO12 cuboctahedra, and faces with eight WO6 octahedra. There are a spread of Na–O bond distances ranging from 2.77–2.86 Å. In the ninth Na site, Na is bonded to twelve O atoms to form NaO12 cuboctahedra that share corners with eleven NaO12 cuboctahedra, faces with five NaO12 cuboctahedra, and faces with eight WO6 octahedra. There are a spread of Na–O bond distances ranging from 2.72–2.85 Å. In the tenth Na site, Na is bonded to twelve O atoms to form NaO12 cuboctahedra that share corners with eleven NaO12 cuboctahedra, faces with five NaO12 cuboctahedra, and faces with eight WO6 octahedra. There are a spread of Na–O bond distances ranging from 2.75–2.87 Å. In the eleventh Na site, Na is bonded to twelve O atoms to form NaO12 cuboctahedra that share corners with ten NaO12 cuboctahedra, faces with six NaO12 cuboctahedra, and faces with eight WO6 octahedra. There are a spread of Na–O bond distances ranging from 2.73–2.86 Å. In the twelfth Na site, Na is bonded to twelve O atoms to form NaO12 cuboctahedra that share corners with eleven NaO12 cuboctahedra, faces with five NaO12 cuboctahedra, and faces with eight WO6 octahedra. There are a spread of Na–O bond distances ranging from 2.71–2.86 Å. In the thirteenth Na site, Na is bonded to twelve O atoms to form NaO12 cuboctahedra that share corners with ten NaO12 cuboctahedra, faces with six NaO12 cuboctahedra, and faces with eight WO6 octahedra. There are a spread of Na–O bond distances ranging from 2.75–2.85 Å. In the fourteenth Na site, Na is bonded to twelve O atoms to form NaO12 cuboctahedra that share corners with eleven NaO12 cuboctahedra, faces with five NaO12 cuboctahedra, and faces with eight WO6 octahedra. There are a spread of Na–O bond distances ranging from 2.76–2.85 Å. In the fifteenth Na site, Na is bonded to twelve O atoms to form NaO12 cuboctahedra that share corners with ten NaO12 cuboctahedra, faces with six NaO12 cuboctahedra, and faces with eight WO6 octahedra. There are a spread of Na–O bond distances ranging from 2.74–2.83 Å. In the sixteenth Na site, Na is bonded to twelve O atoms to form NaO12 cuboctahedra that share corners with eleven NaO12 cuboctahedra, faces with five NaO12 cuboctahedra, and faces with eight WO6 octahedra. There are a spread of Na–O bond distances ranging from 2.76–2.85 Å. In the seventeenth Na site, Na is bonded to twelve O atoms to form NaO12 cuboctahedra that share corners with eleven NaO12 cuboctahedra, faces with five NaO12 cuboctahedra, and faces with eight WO6 octahedra. There are a spread of Na–O bond distances ranging from 2.76–2.84 Å. There are nineteen inequivalent W sites. In the first W site, W is bonded to six O atoms to form WO6 octahedra that share corners with six WO6 octahedra and faces with seven NaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 1–3°. There are a spread of W–O bond distances ranging from 1.92–1.98 Å. In the second W site, W is bonded to six O atoms to form WO6 octahedra that share corners with six WO6 octahedra and faces with seven NaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 2–4°. There are a spread of W–O bond distances ranging from 1.94–2.05 Å. In the third W site, W is bonded to six O atoms to form WO6 octahedra that share corners with six WO6 octahedra and faces with seven NaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 1–4°. There are a spread of W–O bond distances ranging from 1.91–2.05 Å. In the fourth W site, W is bonded to six O atoms to form WO6 octahedra that share corners with six WO6 octahedra and faces with seven NaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 1–4°. There are a spread of W–O bond distances ranging from 1.91–2.05 Å. In the fifth W site, W is bonded to six O atoms to form WO6 octahedra that share corners with six WO6 octahedra and faces with eight NaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 1–4°. There are a spread of W–O bond distances ranging from 1.95–2.06 Å. In the sixth W site, W is bonded to six O atoms to form WO6 octahedra that share corners with six WO6 octahedra and faces with seven NaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 1–5°. There are a spread of W–O bond distances ranging from 1.90–2.05 Å. In the seventh W site, W is bonded to six O atoms to form WO6 octahedra that share corners with six WO6 octahedra and faces with seven NaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 1–4°. There are a spread of W–O bond distances ranging from 1.92–2.05 Å. In the eighth W site, W is bonded to six O atoms to form WO6 octahedra that share corners with six WO6 octahedra and faces with seven NaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 1–6°. There are a spread of W–O bond distances ranging from 1.92–2.06 Å. In the ninth W site, W is bonded to six O atoms to form WO6 octahedra that share corners with six WO6 octahedra and faces with seven NaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 1–3°. There are a spread of W–O bond distances ranging from 1.92–2.05 Å. In the tenth W site, W is bonded to six O atoms to form WO6 octahedra that share corners with six WO6 octahedra and faces with seven NaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 2–5°. There are a spread of W–O bond distances ranging from 1.93–2.07 Å. In the eleventh W site, W is bonded to six O atoms to form WO6 octahedra that share corners with six WO6 octahedra and faces with seven NaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 1–4°. There are a spread of W–O bond distances ranging from 1.90–2.04 Å. In the twelfth W site, W is bonded to six O atoms to form WO6 octahedra that share corners with six WO6 octahedra and faces with seven NaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 1–6°. There are a spread of W–O bond distances ranging from 1.91–2.07 Å. In the thirteenth W site, W is bonded to six O atoms to form WO6 octahedra that share corners with six WO6 octahedra and faces with seven NaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 1–4°. There are a spread of W–O bond distances ranging from 1.92–1.96 Å. In the fourteenth W site, W is bonded to six O atoms to form WO6 octahedra that share corners with six WO6 octahedra and faces with eight NaO12 cuboctahedra. The corner-sharing octahedral tilt angles are 2°. There are a spread of W–O bond distances ranging from 1.92–2.04 Å. In the fifteenth W site, W is bonded to six O atoms to form WO6 octahedra that share corners with six WO6 octahedra and faces with eight NaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 1–3°. There are a spread of W–O bond distances ranging from 1.93–2.03 Å. In the sixteenth W site, W is bonded to six O atoms to form WO6 octahedra that share corners with six WO6 octahedra and faces with seven NaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 2–7°. There are a spread of W–O bond distances ranging from 1.91–2.05 Å. In the seventeenth W site, W is bonded to six O atoms to form WO6 octahedra that share corners with six WO6 octahedra and faces with seven NaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 1–7°. There are a spread of W–O bond distances ranging from 1.93–2.07 Å. In the eighteenth W site, W is bonded to six O atoms to form WO6 octahedra that share corners with six WO6 octahedra and faces with seven NaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 1–4°. There are a spread of W–O bond distances ranging from 1.92–2.05 Å. In the nineteenth W site, W is bonded to six O atoms to form WO6 octahedra that share corners with six WO6 octahedra and faces with seven NaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 1–6°. There are a spread of W–O bond distances ranging from 1.90–2.04 Å. There are fifty-seven inequivalent O sites. In the first O site, O is bonded to four Na and two W atoms to form distorted ONa4W2 octahedra that share corners with twelve ONa4W2 octahedra, corners with ten ONa3W2 square pyramids, edges with three ONa4W2 octahedra, an edgeedge with one ONa3W2 square pyramid, faces with four ONa4W2 octahedra, and faces with four ONa3W2 square pyramids. The corner-sharing octahedra tilt angles range from 1–62°. In the second O site, O is bonded to four Na and two W atoms to form distorted ONa4W2 octahedra that share corners with thirteen ONa4W2 octahedra, corners with nine ONa3W2 square pyramids, edges with four ONa4W2 octahedra, faces with four ONa4W2 octahedra, and faces with four ONa3W2 square pyramids. The corner-sharing octahedra tilt angles range from 0–62°. In the third O site, O is bonded to three Na and two W atoms to form distorted ONa3W2 square pyramids that share corners with thirteen ONa4W2 octahedra, corners with six ONa3W2 square pyramids, edges with two ONa4W2 octahedra, edges with four ONa3W2 square pyramids, and faces with four ONa4W2 octahedra. The corner-sharing octahedra tilt angles range from 1–63°. In the fourth O site, O is bonded to three Na and two W atoms to form distorted ONa3W2 square pyramids that share corners with thirteen ONa4W2 octahedra, corners with six ONa3W2 square pyramids, an edgeedge with one ONa4W2 octahedra, edges with five ONa3W2 square pyramids, and faces with four ONa4W2 octahedra. The corner-sharing octahedra tilt angles range from 1–61°. In the fifth O site, O is bonded to three Na and two W atoms to form distorted ONa3W2 square pyramids that share corners with thirteen ONa4W2 octahedra, corners with six ONa3W2 square pyramids, an edgeedge with one ONa4W2 octahedra, edges with five ONa3W2 square pyramids, and faces with four ONa4W2 octahedra. The corner-sharing octahedr

36 MATERIALS SCIENCE↗

Materials Data on KMg8Al17Si19O72 by Materials Project

KMg8Al17Si19O72 crystallizes in the triclinic P1 space group. The structure is three-dimensional. K is bonded in a 6-coordinate geometry to six O atoms. There are a spread of K–O bond distances ranging from 2.86–3.31 Å. There are eight inequivalent Mg sites. In the first Mg site, Mg is bonded to six O atoms to form distorted MgO6 octahedra that share a cornercorner with one AlO4 tetrahedra, corners with five SiO4 tetrahedra, an edgeedge with one AlO4 tetrahedra, and edges with two SiO4 tetrahedra. There are a spread of Mg–O bond distances ranging from 2.11–2.26 Å. In the second Mg site, Mg is bonded to six O atoms to form distorted MgO6 octahedra that share a cornercorner with one AlO4 tetrahedra, corners with five SiO4 tetrahedra, an edgeedge with one AlO4 tetrahedra, and edges with two SiO4 tetrahedra. There are a spread of Mg–O bond distances ranging from 2.10–2.27 Å. In the third Mg site, Mg is bonded to six O atoms to form distorted MgO6 octahedra that share a cornercorner with one AlO4 tetrahedra, corners with five SiO4 tetrahedra, an edgeedge with one AlO4 tetrahedra, and edges with two SiO4 tetrahedra. There are a spread of Mg–O bond distances ranging from 2.06–2.33 Å. In the fourth Mg site, Mg is bonded to six O atoms to form distorted MgO6 octahedra that share a cornercorner with one AlO4 tetrahedra, corners with five SiO4 tetrahedra, an edgeedge with one SiO4 tetrahedra, and edges with two AlO4 tetrahedra. There are a spread of Mg–O bond distances ranging from 2.00–2.27 Å. In the fifth Mg site, Mg is bonded to six O atoms to form distorted MgO6 octahedra that share a cornercorner with one SiO4 tetrahedra, corners with five AlO4 tetrahedra, an edgeedge with one AlO4 tetrahedra, and edges with two SiO4 tetrahedra. There are a spread of Mg–O bond distances ranging from 2.03–2.44 Å. In the sixth Mg site, Mg is bonded to six O atoms to form distorted MgO6 octahedra that share a cornercorner with one SiO4 tetrahedra, corners with five AlO4 tetrahedra, an edgeedge with one AlO4 tetrahedra, and edges with two SiO4 tetrahedra. There are a spread of Mg–O bond distances ranging from 2.03–2.45 Å. In the seventh Mg site, Mg is bonded to six O atoms to form distorted MgO6 octahedra that share a cornercorner with one SiO4 tetrahedra, corners with five AlO4 tetrahedra, an edgeedge with one AlO4 tetrahedra, and edges with two SiO4 tetrahedra. There are a spread of Mg–O bond distances ranging from 2.01–2.38 Å. In the eighth Mg site, Mg is bonded to six O atoms to form distorted MgO6 octahedra that share a cornercorner with one SiO4 tetrahedra, corners with five AlO4 tetrahedra, an edgeedge with one SiO4 tetrahedra, and edges with two AlO4 tetrahedra. There are a spread of Mg–O bond distances ranging from 2.05–2.28 Å. There are seventeen inequivalent Al sites. In the first Al site, Al is bonded to four O atoms to form distorted AlO4 tetrahedra that share corners with two AlO4 tetrahedra, corners with two SiO4 tetrahedra, and edges with two MgO6 octahedra. There is two shorter (1.75 Å) and two longer (1.80 Å) Al–O bond length. In the second Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share corners with two MgO6 octahedra, a cornercorner with one SiO4 tetrahedra, and corners with three AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 42–51°. There are a spread of Al–O bond distances ranging from 1.70–1.84 Å. In the third Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share corners with two MgO6 octahedra, corners with two AlO4 tetrahedra, and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 48–50°. There are a spread of Al–O bond distances ranging from 1.68–1.84 Å. In the fourth Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share corners with two MgO6 octahedra, a cornercorner with one AlO4 tetrahedra, and corners with three SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 37–48°. There are a spread of Al–O bond distances ranging from 1.72–1.79 Å. In the fifth Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share corners with two MgO6 octahedra, a cornercorner with one AlO4 tetrahedra, and corners with three SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 40–48°. There are a spread of Al–O bond distances ranging from 1.72–1.79 Å. In the sixth Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share corners with two MgO6 octahedra and corners with four SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 52°. There is two shorter (1.73 Å) and two longer (1.81 Å) Al–O bond length. In the seventh Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share corners with two MgO6 octahedra, a cornercorner with one AlO4 tetrahedra, and corners with three SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 45–54°. There are a spread of Al–O bond distances ranging from 1.74–1.82 Å. In the eighth Al site, Al is bonded to four O atoms to form distorted AlO4 tetrahedra that share corners with two AlO4 tetrahedra, corners with two SiO4 tetrahedra, and edges with two MgO6 octahedra. There are a spread of Al–O bond distances ranging from 1.74–1.82 Å. In the ninth Al site, Al is bonded to four O atoms to form distorted AlO4 tetrahedra that share corners with two AlO4 tetrahedra, corners with two SiO4 tetrahedra, and edges with two MgO6 octahedra. There are a spread of Al–O bond distances ranging from 1.74–1.81 Å. In the tenth Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share corners with two MgO6 octahedra, corners with two AlO4 tetrahedra, and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 40–52°. There are a spread of Al–O bond distances ranging from 1.69–1.78 Å. In the eleventh Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share corners with two MgO6 octahedra, corners with two AlO4 tetrahedra, and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 41–50°. There are a spread of Al–O bond distances ranging from 1.68–1.80 Å. In the twelfth Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share corners with two MgO6 octahedra, corners with two AlO4 tetrahedra, and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 39–50°. There are a spread of Al–O bond distances ranging from 1.69–1.79 Å. In the thirteenth Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share corners with two MgO6 octahedra, corners with two AlO4 tetrahedra, and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 39–49°. There are a spread of Al–O bond distances ranging from 1.69–1.80 Å. In the fourteenth Al site, Al is bonded to four O atoms to form distorted AlO4 tetrahedra that share corners with two AlO4 tetrahedra, corners with two SiO4 tetrahedra, and edges with two MgO6 octahedra. There are a spread of Al–O bond distances ranging from 1.74–1.83 Å. In the fifteenth Al site, Al is bonded to four O atoms to form distorted AlO4 tetrahedra that share corners with two AlO4 tetrahedra, corners with two SiO4 tetrahedra, and edges with two MgO6 octahedra. There are a spread of Al–O bond distances ranging from 1.73–1.83 Å. In the sixteenth Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share corners with two MgO6 octahedra, a cornercorner with one AlO4 tetrahedra, and corners with three SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 41–51°. There are a spread of Al–O bond distances ranging from 1.72–1.78 Å. In the seventeenth Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share corners with two MgO6 octahedra, a cornercorner with one AlO4 tetrahedra, and corners with three SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 41–53°. There are a spread of Al–O bond distances ranging from 1.72–1.78 Å. There are nineteen inequivalent Si sites. In the first Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with two MgO6 octahedra, a cornercorner with one SiO4 tetrahedra, and corners with three AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 41–48°. There are a spread of Si–O bond distances ranging from 1.59–1.71 Å. In the second Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with two MgO6 octahedra, a cornercorner with one SiO4 tetrahedra, and corners with three AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 40–49°. There are a spread of Si–O bond distances ranging from 1.59–1.72 Å. In the third Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with two MgO6 octahedra, corners with two AlO4 tetrahedra, and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 42–49°. There are a spread of Si–O bond distances ranging from 1.59–1.70 Å. In the fourth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with two MgO6 octahedra, corners with two AlO4 tetrahedra, and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 42–49°. There are a spread of Si–O bond distances ranging from 1.58–1.69 Å. In the fifth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with two MgO6 octahedra, corners with two AlO4 tetrahedra, and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 39–47°. There are a spread of Si–O bond distances ranging from 1.59–1.69 Å. In the sixth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with two MgO6 octahedra, corners with two AlO4 tetrahedra, and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 38–47°. There are a spread of Si–O bond distances ranging from 1.57–1.70 Å. In the seventh Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with two AlO4 tetrahedra, corners with two SiO4 tetrahedra, and edges with two MgO6 octahedra. There are a spread of Si–O bond distances ranging from 1.62–1.68 Å. In the eighth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with two MgO6 octahedra, corners with two AlO4 tetrahedra, and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 45–47°. There are a spread of Si–O bond distances ranging from 1.58–1.69 Å. In the ninth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with two MgO6 octahedra, a cornercorner with one SiO4 tetrahedra, and corners with three AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 40–48°. There are a spread of Si–O bond distances ranging from 1.59–1.70 Å. In the tenth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with two MgO6 octahedra, a cornercorner with one SiO4 tetrahedra, and corners with three AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 41–51°. There are a spread of Si–O bond distances ranging from 1.59–1.72 Å. In the eleventh Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with two MgO6 octahedra, a cornercorner with one SiO4 tetrahedra, and corners with three AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 44–51°. There are a spread of Si–O bond distances ranging from 1.59–1.72 Å. In the twelfth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with two MgO6 octahedra, a cornercorner with one AlO4 tetrahedra, and corners with three SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 40–51°. There are a spread of Si–O bond distances ranging from 1.61–1.66 Å. In the thirteenth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra t

36 MATERIALS SCIENCE↗

Materials Data on Mg11Ti25O60 by Materials Project

Mg11Ti25O60 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eleven inequivalent Mg sites. In the first Mg site, Mg is bonded to six O atoms to form distorted MgO6 octahedra that share a cornercorner with one MgO6 octahedra, corners with two TiO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 29–49°. There are a spread of Mg–O bond distances ranging from 2.01–2.20 Å. In the second Mg site, Mg is bonded to six O atoms to form distorted MgO6 octahedra that share a cornercorner with one MgO6 octahedra, corners with two TiO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 29–49°. There are a spread of Mg–O bond distances ranging from 2.01–2.20 Å. In the third Mg site, Mg is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Mg–O bond distances ranging from 2.02–2.21 Å. In the fourth Mg site, Mg is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Mg–O bond distances ranging from 2.02–2.21 Å. In the fifth Mg site, Mg is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Mg–O bond distances ranging from 2.02–2.21 Å. In the sixth Mg site, Mg is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Mg–O bond distances ranging from 2.02–2.21 Å. In the seventh Mg site, Mg is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Mg–O bond distances ranging from 2.02–2.22 Å. In the eighth Mg site, Mg is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Mg–O bond distances ranging from 2.02–2.22 Å. In the ninth Mg site, Mg is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Mg–O bond distances ranging from 2.02–2.21 Å. In the tenth Mg site, Mg is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Mg–O bond distances ranging from 2.02–2.22 Å. In the eleventh Mg site, Mg is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Mg–O bond distances ranging from 2.02–2.22 Å. There are twenty-five inequivalent Ti sites. In the first Ti site, Ti is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Ti–O bond distances ranging from 1.95–2.13 Å. In the second Ti site, Ti is bonded to six O atoms to form distorted TiO6 octahedra that share corners with three TiO6 octahedra, edges with two MgO6 octahedra, and edges with three TiO6 octahedra. The corner-sharing octahedra tilt angles range from 31–49°. There are a spread of Ti–O bond distances ranging from 1.82–2.20 Å. In the third Ti site, Ti is bonded to six O atoms to form distorted TiO6 octahedra that share corners with three TiO6 octahedra, an edgeedge with one MgO6 octahedra, and edges with three TiO6 octahedra. The corner-sharing octahedra tilt angles range from 31–52°. There are a spread of Ti–O bond distances ranging from 1.81–2.18 Å. In the fourth Ti site, Ti is bonded to six O atoms to form distorted TiO6 octahedra that share corners with three TiO6 octahedra, an edgeedge with one MgO6 octahedra, and edges with three TiO6 octahedra. The corner-sharing octahedra tilt angles range from 31–52°. There are a spread of Ti–O bond distances ranging from 1.82–2.17 Å. In the fifth Ti site, Ti is bonded to six O atoms to form distorted TiO6 octahedra that share corners with three TiO6 octahedra, an edgeedge with one MgO6 octahedra, and edges with three TiO6 octahedra. The corner-sharing octahedra tilt angles range from 32–52°. There are a spread of Ti–O bond distances ranging from 1.81–2.18 Å. In the sixth Ti site, Ti is bonded to six O atoms to form distorted TiO6 octahedra that share corners with three TiO6 octahedra, edges with two MgO6 octahedra, and edges with three TiO6 octahedra. The corner-sharing octahedra tilt angles range from 31–49°. There are a spread of Ti–O bond distances ranging from 1.83–2.19 Å. In the seventh Ti site, Ti is bonded to six O atoms to form distorted TiO6 octahedra that share corners with three TiO6 octahedra, an edgeedge with one MgO6 octahedra, and edges with three TiO6 octahedra. The corner-sharing octahedra tilt angles range from 31–52°. There are a spread of Ti–O bond distances ranging from 1.81–2.18 Å. In the eighth Ti site, Ti is bonded to six O atoms to form a mixture of distorted edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 31–48°. There are a spread of Ti–O bond distances ranging from 1.82–2.22 Å. In the ninth Ti site, Ti is bonded to six O atoms to form distorted TiO6 octahedra that share corners with three TiO6 octahedra, an edgeedge with one MgO6 octahedra, and edges with three TiO6 octahedra. The corner-sharing octahedra tilt angles range from 31–49°. There are a spread of Ti–O bond distances ranging from 1.82–2.23 Å. In the tenth Ti site, Ti is bonded to six O atoms to form a mixture of distorted edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 31–49°. There are a spread of Ti–O bond distances ranging from 1.82–2.20 Å. In the eleventh Ti site, Ti is bonded to six O atoms to form a mixture of distorted edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 30–48°. There are a spread of Ti–O bond distances ranging from 1.85–2.16 Å. In the twelfth Ti site, Ti is bonded to six O atoms to form distorted TiO6 octahedra that share corners with three TiO6 octahedra, an edgeedge with one MgO6 octahedra, and edges with three TiO6 octahedra. The corner-sharing octahedra tilt angles range from 31–48°. There are a spread of Ti–O bond distances ranging from 1.82–2.22 Å. In the thirteenth Ti site, Ti is bonded to six O atoms to form a mixture of distorted edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 30–48°. There are a spread of Ti–O bond distances ranging from 1.85–2.17 Å. In the fourteenth Ti site, Ti is bonded to six O atoms to form distorted TiO6 octahedra that share a cornercorner with one MgO6 octahedra, corners with three TiO6 octahedra, and edges with three TiO6 octahedra. The corner-sharing octahedra tilt angles range from 29–48°. There are a spread of Ti–O bond distances ranging from 1.82–2.20 Å. In the fifteenth Ti site, Ti is bonded to six O atoms to form distorted TiO6 octahedra that share a cornercorner with one MgO6 octahedra, corners with three TiO6 octahedra, and edges with three TiO6 octahedra. The corner-sharing octahedra tilt angles range from 29–48°. There are a spread of Ti–O bond distances ranging from 1.82–2.20 Å. In the sixteenth Ti site, Ti is bonded to six O atoms to form a mixture of distorted edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 30–46°. There are a spread of Ti–O bond distances ranging from 1.92–2.14 Å. In the seventeenth Ti site, Ti is bonded to six O atoms to form distorted TiO6 octahedra that share a cornercorner with one MgO6 octahedra, corners with three TiO6 octahedra, and edges with three TiO6 octahedra. The corner-sharing octahedra tilt angles range from 29–48°. There are a spread of Ti–O bond distances ranging from 1.82–2.20 Å. In the eighteenth Ti site, Ti is bonded to six O atoms to form distorted TiO6 octahedra that share a cornercorner with one MgO6 octahedra, corners with three TiO6 octahedra, and edges with three TiO6 octahedra. The corner-sharing octahedra tilt angles range from 29–48°. There are a spread of Ti–O bond distances ranging from 1.82–2.20 Å. In the nineteenth Ti site, Ti is bonded to six O atoms to form a mixture of distorted edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 30–46°. There are a spread of Ti–O bond distances ranging from 1.92–2.14 Å. In the twentieth Ti site, Ti is bonded to six O atoms to form a mixture of distorted edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 30–48°. There are a spread of Ti–O bond distances ranging from 1.85–2.17 Å. In the twenty-first Ti site, Ti is bonded to six O atoms to form distorted TiO6 octahedra that share corners with three TiO6 octahedra, an edgeedge with one MgO6 octahedra, and edges with three TiO6 octahedra. The corner-sharing octahedra tilt angles range from 31–48°. There are a spread of Ti–O bond distances ranging from 1.82–2.22 Å. In the twenty-second Ti site, Ti is bonded to six O atoms to form a mixture of distorted edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 31–48°. There are a spread of Ti–O bond distances ranging from 1.82–2.20 Å. In the twenty-third Ti site, Ti is bonded to six O atoms to form a mixture of distorted edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 30–48°. There are a spread of Ti–O bond distances ranging from 1.85–2.17 Å. In the twenty-fourth Ti site, Ti is bonded to six O atoms to form a mixture of distorted edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 31–48°. There are a spread of Ti–O bond distances ranging from 1.82–2.22 Å. In the twenty-fifth Ti site, Ti is bonded to six O atoms to form distorted TiO6 octahedra that share corners with three TiO6 octahedra, an edgeedge with one MgO6 octahedra, and edges with three TiO6 octahedra. The corner-sharing octahedra tilt angles range from 31–48°. There are a spread of Ti–O bond distances ranging from 1.82–2.22 Å. There are sixty inequivalent O sites. In the first O site, O is bonded to two Mg and two Ti atoms to form a mixture of distorted edge and corner-sharing OMg2Ti2 trigonal pyramids. In the second O site, O is bonded to one Mg and three Ti atoms to form distorted OMgTi3 trigonal pyramids that share corners with four OMg2Ti2 trigonal pyramids and edges with four OMgTi3 trigonal pyramids. In the third O site, O is bonded to one Mg and three Ti atoms to form distorted OMgTi3 trigonal pyramids that share corners with four OMg2Ti2 trigonal pyramids and edges with four OTi4 trigonal pyramids. In the fourth O site, O is bonded to four Ti atoms to form a mixture of distorted edge and corner-sharing OTi4 trigonal pyramids. In the fifth O site, O is bonded to one Mg and three Ti atoms to form a mixture of distorted edge and corner-sharing OMgTi3 trigonal pyramids. In the sixth O site, O is bonded to one Mg and three Ti atoms to form distorted OMgTi3 trigonal pyramids that share corners with four OMgTi3 trigonal pyramids and edges with four OMg2Ti2 trigonal pyramids. In the seventh O site, O is bonded to four Ti atoms to form distorted OTi4 trigonal pyramids that share corners with four OTi4 trigonal pyramids and edges with four OMgTi3 trigonal pyramids. In the eighth O site, O is bonded to one Mg and three Ti atoms to form distorted OMgTi3 trigonal pyramids that share corners with four OMgTi3 trigonal pyramids and edges with four OMg2Ti2 trigonal pyramids. In the ninth O site, O is bonded to one Mg and three Ti atoms to form a mixture of distorted edge and corner-sharing OMgTi3 trigonal pyramids. In the tenth O site, O is bonded in a distorted trigonal non-coplanar geometry to one Mg and two Ti atoms. In the eleventh O site, O is bonded in a distorted trigonal non-coplanar geometry to one Mg and two Ti atoms. In the twelfth O site, O is bonded in a distorted T-shaped geometry to one Mg and two Ti atoms. In the thirteenth O site, O is bonded in a distorted trigonal non-coplanar geometry to one Mg and two Ti atoms. In the fourteenth O site, O is bonded in a distorted T-shaped geometry to one Mg and two Ti atoms. In the fifteenth O site, O is bonded in a distorted trigonal non-coplanar geometry to one Mg and two Ti atoms. In the sixteenth O site, O is bonded in a distorted trigonal non-coplanar geometry to one Mg and two Ti atoms. In the seventeenth O site, O is bonded in a distorted trigonal non-coplanar geometry to one Mg and two Ti atoms.

36 MATERIALS SCIENCE↗

Materials Data on Ba10V10O29 by Materials Project

Ba10V10O29 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twenty inequivalent Ba2+ sites. In the first Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with three BaO12 cuboctahedra, corners with three VO6 octahedra, faces with four BaO12 cuboctahedra, faces with five VO6 octahedra, and faces with two VO5 square pyramids. The corner-sharing octahedra tilt angles range from 7–13°. There are a spread of Ba–O bond distances ranging from 2.77–3.11 Å. In the second Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form distorted BaO12 cuboctahedra that share corners with six BaO12 cuboctahedra, corners with three VO6 octahedra, faces with six BaO12 cuboctahedra, faces with six VO6 octahedra, and a faceface with one VO5 square pyramid. The corner-sharing octahedra tilt angles range from 9–12°. There are a spread of Ba–O bond distances ranging from 2.84–3.15 Å. In the third Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with three BaO12 cuboctahedra, corners with three VO6 octahedra, faces with four BaO12 cuboctahedra, faces with five VO6 octahedra, and faces with two VO5 square pyramids. The corner-sharing octahedra tilt angles range from 9–12°. There are a spread of Ba–O bond distances ranging from 2.77–3.11 Å. In the fourth Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form distorted BaO12 cuboctahedra that share corners with six BaO12 cuboctahedra, corners with three VO6 octahedra, faces with six BaO12 cuboctahedra, faces with six VO6 octahedra, and a faceface with one VO5 square pyramid. The corner-sharing octahedra tilt angles range from 8–13°. There are a spread of Ba–O bond distances ranging from 2.84–3.11 Å. In the fifth Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with three BaO12 cuboctahedra, corners with three VO6 octahedra, faces with four BaO12 cuboctahedra, faces with five VO6 octahedra, and faces with two VO5 square pyramids. The corner-sharing octahedra tilt angles range from 7–12°. There are a spread of Ba–O bond distances ranging from 2.81–3.13 Å. In the sixth Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form distorted BaO12 cuboctahedra that share corners with six BaO12 cuboctahedra, corners with three VO6 octahedra, faces with six BaO12 cuboctahedra, faces with six VO6 octahedra, and a faceface with one VO5 square pyramid. The corner-sharing octahedra tilt angles range from 9–11°. There are a spread of Ba–O bond distances ranging from 2.86–3.11 Å. In the seventh Ba2+ site, Ba2+ is bonded in a distorted q6 geometry to eleven O2- atoms. There are a spread of Ba–O bond distances ranging from 2.76–3.02 Å. In the eighth Ba2+ site, Ba2+ is bonded in a distorted q6 geometry to eleven O2- atoms. There are a spread of Ba–O bond distances ranging from 2.78–3.03 Å. In the ninth Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with six BaO12 cuboctahedra, corners with three VO6 octahedra, faces with four BaO12 cuboctahedra, and faces with seven VO6 octahedra. The corner-sharing octahedra tilt angles range from 10–11°. There are a spread of Ba–O bond distances ranging from 2.86–3.05 Å. In the tenth Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with six BaO12 cuboctahedra, corners with three VO6 octahedra, faces with four BaO12 cuboctahedra, and faces with seven VO6 octahedra. The corner-sharing octahedra tilt angles range from 7–10°. There are a spread of Ba–O bond distances ranging from 2.87–3.04 Å. In the eleventh Ba2+ site, Ba2+ is bonded in a distorted q6 geometry to eleven O2- atoms. There are a spread of Ba–O bond distances ranging from 2.79–2.96 Å. In the twelfth Ba2+ site, Ba2+ is bonded in a distorted q6 geometry to eleven O2- atoms. There are a spread of Ba–O bond distances ranging from 2.79–3.05 Å. In the thirteenth Ba2+ site, Ba2+ is bonded in a distorted q6 geometry to eleven O2- atoms. There are a spread of Ba–O bond distances ranging from 2.76–3.03 Å. In the fourteenth Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with six BaO12 cuboctahedra, corners with three VO6 octahedra, faces with four BaO12 cuboctahedra, and faces with seven VO6 octahedra. The corner-sharing octahedra tilt angles range from 9–11°. There are a spread of Ba–O bond distances ranging from 2.88–3.08 Å. In the fifteenth Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with six BaO12 cuboctahedra, corners with three VO6 octahedra, faces with four BaO12 cuboctahedra, and faces with seven VO6 octahedra. The corner-sharing octahedra tilt angles range from 8–11°. There are a spread of Ba–O bond distances ranging from 2.87–3.05 Å. In the sixteenth Ba2+ site, Ba2+ is bonded in a distorted q6 geometry to eleven O2- atoms. There are a spread of Ba–O bond distances ranging from 2.82–2.95 Å. In the seventeenth Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with three BaO12 cuboctahedra, corners with three VO6 octahedra, faces with four BaO12 cuboctahedra, faces with five VO6 octahedra, and faces with two VO5 square pyramids. The corner-sharing octahedra tilt angles range from 7–11°. There are a spread of Ba–O bond distances ranging from 2.83–3.15 Å. In the eighteenth Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form distorted BaO12 cuboctahedra that share corners with six BaO12 cuboctahedra, corners with three VO6 octahedra, faces with six BaO12 cuboctahedra, faces with six VO6 octahedra, and a faceface with one VO5 square pyramid. The corner-sharing octahedra tilt angles range from 8–12°. There are a spread of Ba–O bond distances ranging from 2.87–3.13 Å. In the nineteenth Ba2+ site, Ba2+ is bonded in a distorted q6 geometry to eleven O2- atoms. There are a spread of Ba–O bond distances ranging from 2.77–2.97 Å. In the twentieth Ba2+ site, Ba2+ is bonded in a distorted q6 geometry to eleven O2- atoms. There are a spread of Ba–O bond distances ranging from 2.79–2.97 Å. There are twenty inequivalent V+3.80+ sites. In the first V+3.80+ site, V+3.80+ is bonded to five O2- atoms to form VO5 square pyramids that share corners with five VO6 octahedra and faces with three BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 6–12°. There are a spread of V–O bond distances ranging from 1.84–2.02 Å. In the second V+3.80+ site, V+3.80+ is bonded to six O2- atoms to form VO6 octahedra that share corners with three BaO12 cuboctahedra, a cornercorner with one VO6 octahedra, corners with two VO5 square pyramids, faces with five BaO12 cuboctahedra, and a faceface with one VO6 octahedra. The corner-sharing octahedral tilt angles are 4°. There are a spread of V–O bond distances ranging from 1.85–2.10 Å. In the third V+3.80+ site, V+3.80+ is bonded to five O2- atoms to form VO5 square pyramids that share corners with five VO6 octahedra and faces with three BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 8–12°. There are a spread of V–O bond distances ranging from 1.86–2.07 Å. In the fourth V+3.80+ site, V+3.80+ is bonded to five O2- atoms to form VO5 square pyramids that share corners with five VO6 octahedra and faces with three BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 7–15°. There are a spread of V–O bond distances ranging from 1.84–2.04 Å. In the fifth V+3.80+ site, V+3.80+ is bonded to six O2- atoms to form VO6 octahedra that share corners with three BaO12 cuboctahedra, a cornercorner with one VO6 octahedra, corners with two VO5 square pyramids, faces with five BaO12 cuboctahedra, and a faceface with one VO6 octahedra. The corner-sharing octahedral tilt angles are 5°. There are a spread of V–O bond distances ranging from 1.82–2.08 Å. In the sixth V+3.80+ site, V+3.80+ is bonded to six O2- atoms to form VO6 octahedra that share corners with three BaO12 cuboctahedra, a cornercorner with one VO6 octahedra, corners with two VO5 square pyramids, faces with five BaO12 cuboctahedra, and a faceface with one VO6 octahedra. The corner-sharing octahedral tilt angles are 4°. There are a spread of V–O bond distances ranging from 1.84–2.09 Å. In the seventh V+3.80+ site, V+3.80+ is bonded to six O2- atoms to form VO6 octahedra that share corners with four BaO12 cuboctahedra, faces with six BaO12 cuboctahedra, and faces with two VO6 octahedra. There are a spread of V–O bond distances ranging from 1.90–2.00 Å. In the eighth V+3.80+ site, V+3.80+ is bonded to six O2- atoms to form VO6 octahedra that share corners with four VO6 octahedra, corners with two VO5 square pyramids, and faces with three BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 3–6°. There are a spread of V–O bond distances ranging from 2.00–2.24 Å. In the ninth V+3.80+ site, V+3.80+ is bonded to six O2- atoms to form VO6 octahedra that share corners with four VO6 octahedra, corners with two VO5 square pyramids, and faces with three BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 3–7°. There are a spread of V–O bond distances ranging from 1.97–2.18 Å. In the tenth V+3.80+ site, V+3.80+ is bonded to six O2- atoms to form VO6 octahedra that share corners with three BaO12 cuboctahedra, corners with two VO6 octahedra, a cornercorner with one VO5 square pyramid, faces with four BaO12 cuboctahedra, and a faceface with one VO6 octahedra. The corner-sharing octahedra tilt angles range from 3–7°. There are a spread of V–O bond distances ranging from 1.88–2.09 Å. In the eleventh V+3.80+ site, V+3.80+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two BaO12 cuboctahedra, faces with six BaO12 cuboctahedra, and faces with two VO6 octahedra. There are a spread of V–O bond distances ranging from 1.91–1.99 Å. In the twelfth V+3.80+ site, V+3.80+ is bonded to six O2- atoms to form VO6 octahedra that share corners with three BaO12 cuboctahedra, corners with two VO6 octahedra, a cornercorner with one VO5 square pyramid, faces with four BaO12 cuboctahedra, and a faceface with one VO6 octahedra. The corner-sharing octahedral tilt angles are 6°. There are a spread of V–O bond distances ranging from 1.85–2.11 Å. In the thirteenth V+3.80+ site, V+3.80+ is bonded to six O2- atoms to form VO6 octahedra that share corners with four VO6 octahedra, corners with two VO5 square pyramids, and faces with three BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 3–6°. There are a spread of V–O bond distances ranging from 2.00–2.23 Å. In the fourteenth V+3.80+ site, V+3.80+ is bonded to six O2- atoms to form VO6 octahedra that share corners with four VO6 octahedra, corners with two VO5 square pyramids, and faces with three BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 2–5°. There are a spread of V–O bond distances ranging from 1.99–2.23 Å. In the fifteenth V+3.80+ site, V+3.80+ is bonded to six O2- atoms to form VO6 octahedra that share corners with three BaO12 cuboctahedra, corners with two VO6 octahedra, a cornercorner with one VO5 square pyramid, faces with four BaO12 cuboctahedra, and a faceface with one VO6 octahedra. The corner-sharing octahedral tilt angles are 5°. There are a spread of V–O bond distances ranging from 1.84–2.10 Å. In the sixteenth V+3.80+ site, V+3.80+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two BaO12 cuboctahedra, faces with six BaO12 cuboctahedra, and faces with two VO6 octahedra. There are a spread of V–O bond distances ranging from 1.90–2.01 Å. In the seventeenth V+3.80+ site, V+3.80+ is bonded to six O2- atoms to form VO6 octahedra that share corners with three BaO12 cuboctahedra, corners with two VO6 octahedra, a cornercorner with one VO5 square pyramid, faces with four BaO12 cuboctahedra, and a faceface with one VO6 octahe

36 MATERIALS SCIENCE↗

Materials Data on Li3Mn2(P2O7)2 by Materials Project

Li3Mn2(P2O7)2 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 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.93–2.31 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four PO4 tetrahedra, a cornercorner with one MnO5 trigonal bipyramid, and an edgeedge with one LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.86–2.01 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four PO4 tetrahedra, a cornercorner with one MnO5 trigonal bipyramid, and an edgeedge with one LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.86–1.96 Å. In the fourth 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 1.86–2.32 Å. In the fifth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share a cornercorner with one MnO6 octahedra, corners with three PO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, a cornercorner with one MnO5 trigonal bipyramid, an edgeedge with one MnO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedral tilt angles are 60°. There are a spread of Li–O bond distances ranging from 2.00–2.23 Å. In the sixth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share corners with five PO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, and an edgeedge with one MnO6 octahedra. There are a spread of Li–O bond distances ranging from 1.91–2.61 Å. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four PO4 tetrahedra, corners with two LiO5 trigonal bipyramids, and an edgeedge with one LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.90–1.98 Å. In the eighth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share corners with two LiO4 tetrahedra, corners with five PO4 tetrahedra, a cornercorner with one MnO5 trigonal bipyramid, and an edgeedge with one MnO6 octahedra. There are a spread of Li–O bond distances ranging from 1.95–2.44 Å. In the ninth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share corners with two LiO4 tetrahedra, corners with five PO4 tetrahedra, an edgeedge with one MnO6 octahedra, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.96–2.43 Å. In the tenth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four PO4 tetrahedra, a cornercorner with one MnO5 trigonal bipyramid, corners with two LiO5 trigonal bipyramids, and an edgeedge with one LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.90–2.00 Å. In the eleventh 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 1.91–2.18 Å. In the twelfth Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.91–2.39 Å. There are eight inequivalent Mn+2.50+ sites. In the first Mn+2.50+ site, Mn+2.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Mn–O bond distances ranging from 2.06–2.30 Å. In the second Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form distorted MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, corners with five PO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, and an edgeedge with one MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 2.00–2.19 Å. In the third Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form distorted 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 2.00–2.18 Å. In the fourth Mn+2.50+ site, Mn+2.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra, an edgeedge with one LiO5 trigonal bipyramid, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Mn–O bond distances ranging from 2.06–2.20 Å. In the fifth Mn+2.50+ site, Mn+2.50+ 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 1.98–2.28 Å. In the sixth Mn+2.50+ site, Mn+2.50+ is bonded in a 5-coordinate geometry to six O2- atoms. There are a spread of Mn–O bond distances ranging from 2.13–2.74 Å. In the seventh Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form distorted MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, corners with five PO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, 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 2.09–2.20 Å. In the eighth Mn+2.50+ site, Mn+2.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra, an edgeedge with one MnO5 trigonal bipyramid, and edges with two LiO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.11–2.23 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 56°. There are a spread of P–O bond distances ranging from 1.49–1.60 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share 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 33°. 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 a cornercorner with one MnO6 octahedra, a cornercorner with one PO4 tetrahedra, corners with two LiO4 tetrahedra, and corners with two MnO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 58°. There are a spread of P–O bond distances ranging from 1.51–1.61 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 PO4 tetrahedra, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 25–54°. There are a spread of P–O bond distances ranging from 1.51–1.63 Å. In the fifth 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 32–48°. There are a spread of P–O bond distances ranging from 1.53–1.62 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 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 54°. 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 a cornercorner with one MnO6 octahedra, a cornercorner with one PO4 tetrahedra, a cornercorner with one MnO5 trigonal bipyramid, and corners with three LiO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 55°. There are a spread of P–O bond distances ranging from 1.52–1.60 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one 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 31°. 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 a cornercorner with one MnO6 octahedra, a cornercorner with one PO4 tetrahedra, corners with two LiO4 tetrahedra, a cornercorner with one MnO5 trigonal bipyramid, and corners with two LiO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 39°. There are a spread of P–O bond distances ranging from 1.49–1.64 Å. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one PO4 tetrahedra, corners with two LiO5 trigonal bipyramids, and corners with two MnO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 56°. 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 a cornercorner with one MnO6 octahedra, a cornercorner with one PO4 tetrahedra, corners with two LiO4 tetrahedra, and corners with two MnO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 56°. There are a spread of P–O bond distances ranging from 1.51–1.63 Å. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three MnO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 33–53°. 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, a cornercorner with one PO4 tetrahedra, and a cornercorner with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 31–54°. 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, a cornercorner with one LiO5 trigonal bipyramid, 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 1.51–1.62 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 PO4 tetrahedra, corners with two LiO4 tetrahedra, and corners with two LiO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 38°. There are a spread of P–O bond distances ranging from 1.49–1.65 Å. In the sixteenth 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 corners with two MnO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 55°. There are a spread of P–O bond distance

36 MATERIALS SCIENCE↗

Materials Data on Li7V3P8O29 by Materials Project

Li7V3P8O29 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are fourteen inequivalent Li1+ sites. In the first 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 66–74°. There are a spread of Li–O bond distances ranging from 1.86–2.32 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 66–71°. There are a spread of Li–O bond distances ranging from 1.87–2.26 Å. In the third Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.97–2.14 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 1.99–2.12 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 1.94–2.15 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with four PO4 tetrahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.99–2.13 Å. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four PO4 tetrahedra and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.95–2.18 Å. In the eighth 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 1.92–2.11 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 67–68°. There are a spread of Li–O bond distances ranging from 1.86–2.24 Å. In the tenth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.93–2.20 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 1.92–2.14 Å. In the twelfth 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 1.98–2.23 Å. In the thirteenth Li1+ site, Li1+ is bonded in a 2-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.97–2.61 Å. In the fourteenth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.98–2.79 Å. There are six inequivalent V+3.67+ sites. In the first V+3.67+ site, V+3.67+ 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 1.87–2.00 Å. In the second V+3.67+ site, V+3.67+ 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 2.02–2.07 Å. In the third V+3.67+ site, V+3.67+ 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 1.84–2.02 Å. In the fourth V+3.67+ site, V+3.67+ 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 1.99–2.08 Å. In the fifth V+3.67+ site, V+3.67+ 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 1.86–2.03 Å. In the sixth V+3.67+ site, V+3.67+ 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 1.86–2.04 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 PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 46–49°. There are a spread of P–O bond distances ranging from 1.50–1.61 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 46–47°. There are a spread of P–O bond distances ranging from 1.50–1.62 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with three LiO4 tetrahedra. The corner-sharing octahedral tilt angles are 46°. There are a spread of P–O bond distances ranging from 1.50–1.61 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 28–38°. 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 24–36°. There are a spread of P–O bond distances ranging from 1.49–1.58 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedral tilt angles are 49°. There are a spread of P–O bond distances ranging from 1.52–1.60 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 40–47°. There are a spread of P–O bond distances ranging from 1.50–1.62 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 47–49°. 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 LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedral tilt angles are 41°. There are a spread of P–O bond distances ranging from 1.51–1.60 Å. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with three 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 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 36–41°. There are a spread of P–O bond distances ranging from 1.51–1.61 Å. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra and corners with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 33–39°. There are a spread of P–O bond distances ranging from 1.51–1.58 Å. In the thirteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra and a cornercorner with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 31–35°. There are a spread of P–O bond distances ranging from 1.49–1.59 Å. In the fourteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 44–45°. 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 44–46°. 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 LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 41–45°. There are a spread of P–O bond distances ranging from 1.52–1.62 Å. There are fifty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a 2-coordinate geometry to two Li1+ and one P5+ atom. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+3.67+, 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 trigonal planar geometry to one Li1+, one V+3.67+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one V+3.67+, and one P5+ atom. In the sixth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+3.67+ and one P5+ atom. In the seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+3.67+, and one P5+ atom. In the eighth O2- site, O2- is bonded in a trigonal planar geometry to two Li1+ and one P5+ atom. In the ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+3.67+, and one P5+ atom. In the tenth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+3.67+ and one P5+ atom. In the eleventh O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+3.67+, and one P5+ atom. In the twelfth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+3.67+ 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 linear geometry to one Li1+ and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one V+3.67+, and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+3.67+, and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+3.67+, and one P5+ atom. In the eighteenth O2- s

36 MATERIALS SCIENCE↗

Materials Data on Pr3Ni7P5 by Materials Project

Pr3Ni7P5 crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are twelve inequivalent Pr sites. In the first Pr site, Pr is bonded in a 2-coordinate geometry to nine Ni and six P atoms. There are a spread of Pr–Ni bond distances ranging from 3.03–3.10 Å. There are two shorter (2.95 Å) and four longer (3.05 Å) Pr–P bond lengths. In the second Pr site, Pr is bonded in a 4-coordinate geometry to nine Ni and six P atoms. There are a spread of Pr–Ni bond distances ranging from 3.02–3.11 Å. There are a spread of Pr–P bond distances ranging from 2.95–3.05 Å. In the third Pr site, Pr is bonded in a 8-coordinate geometry to ten Ni and six P atoms. There are a spread of Pr–Ni bond distances ranging from 3.00–3.14 Å. There are a spread of Pr–P bond distances ranging from 2.99–3.05 Å. In the fourth Pr site, Pr is bonded in a 8-coordinate geometry to ten Ni and six P atoms. There are a spread of Pr–Ni bond distances ranging from 3.00–3.15 Å. There are a spread of Pr–P bond distances ranging from 2.99–3.04 Å. In the fifth Pr site, Pr is bonded in a 8-coordinate geometry to ten Ni and six P atoms. There are a spread of Pr–Ni bond distances ranging from 3.03–3.12 Å. There are four shorter (3.04 Å) and two longer (3.05 Å) Pr–P bond lengths. In the sixth Pr site, Pr is bonded in a 9-coordinate geometry to ten Ni and six P atoms. There are a spread of Pr–Ni bond distances ranging from 2.91–3.14 Å. There are a spread of Pr–P bond distances ranging from 3.03–3.05 Å. In the seventh Pr site, Pr is bonded in a 10-coordinate geometry to eight Ni and six P atoms. There are a spread of Pr–Ni bond distances ranging from 3.04–3.14 Å. There are four shorter (3.01 Å) and two longer (3.04 Å) Pr–P bond lengths. In the eighth Pr site, Pr is bonded in a 10-coordinate geometry to eight Ni and six P atoms. There are a spread of Pr–Ni bond distances ranging from 3.04–3.15 Å. There are a spread of Pr–P bond distances ranging from 3.00–3.05 Å. In the ninth Pr site, Pr is bonded in a 10-coordinate geometry to eight Ni and six P atoms. There are a spread of Pr–Ni bond distances ranging from 3.05–3.13 Å. There are a spread of Pr–P bond distances ranging from 3.00–3.05 Å. In the tenth Pr site, Pr is bonded in a 10-coordinate geometry to eight Ni and six P atoms. There are a spread of Pr–Ni bond distances ranging from 3.04–3.10 Å. There are a spread of Pr–P bond distances ranging from 3.01–3.05 Å. In the eleventh Pr site, Pr is bonded in a 10-coordinate geometry to eight Ni and six P atoms. There are a spread of Pr–Ni bond distances ranging from 3.05–3.13 Å. There are four shorter (3.01 Å) and two longer (3.06 Å) Pr–P bond lengths. In the twelfth Pr site, Pr is bonded in a 10-coordinate geometry to eight Ni and six P atoms. There are a spread of Pr–Ni bond distances ranging from 3.05–3.10 Å. There are a spread of Pr–P bond distances ranging from 3.01–3.04 Å. There are twenty-eight inequivalent Ni sites. In the first Ni site, Ni is bonded to three Pr, two equivalent Ni, and four P atoms to form distorted NiPr3Ni2P4 tetrahedra that share corners with five NiPr4P4 tetrahedra, an edgeedge with one NiPr4P4 tetrahedra, and faces with five NiPr3Ni2P4 tetrahedra. Both Ni–Ni bond lengths are 2.59 Å. There are a spread of Ni–P bond distances ranging from 2.33–2.38 Å. In the second Ni site, Ni is bonded to three Pr and four P atoms to form distorted NiPr3P4 tetrahedra that share corners with five NiPr4P4 tetrahedra, edges with three NiPr3P4 tetrahedra, and faces with three NiPr4P4 tetrahedra. There are a spread of Ni–P bond distances ranging from 2.28–2.38 Å. In the third Ni site, Ni is bonded in a 4-coordinate geometry to three Pr and four P atoms. There are a spread of Ni–P bond distances ranging from 2.29–2.42 Å. In the fourth Ni site, Ni is bonded in a 4-coordinate geometry to three Pr and four P atoms. There are a spread of Ni–P bond distances ranging from 2.27–2.43 Å. In the fifth Ni site, Ni is bonded in a 4-coordinate geometry to three Pr and four P atoms. There are a spread of Ni–P bond distances ranging from 2.29–2.37 Å. In the sixth Ni site, Ni is bonded in a 4-coordinate geometry to three Pr, one Ni, and four P atoms. The Ni–Ni bond length is 2.42 Å. There are a spread of Ni–P bond distances ranging from 2.27–2.40 Å. In the seventh Ni site, Ni is bonded to four Pr and four P atoms to form distorted NiPr4P4 tetrahedra that share corners with six NiPr3Ni2P4 tetrahedra, edges with three NiPr4P4 tetrahedra, and faces with two equivalent NiPr4P4 tetrahedra. There are a spread of Ni–P bond distances ranging from 2.33–2.41 Å. In the eighth Ni site, Ni is bonded to four Pr and four P atoms to form distorted NiPr4P4 tetrahedra that share corners with eight NiPr3Ni2P4 tetrahedra, edges with three NiPr4P4 tetrahedra, and faces with three NiPr4P4 tetrahedra. There are a spread of Ni–P bond distances ranging from 2.34–2.40 Å. In the ninth Ni site, Ni is bonded to four Pr and four P atoms to form a mixture of distorted edge, face, and corner-sharing NiPr4P4 tetrahedra. There are three shorter (2.35 Å) and one longer (2.38 Å) Ni–P bond lengths. In the tenth Ni site, Ni is bonded to four Pr and four P atoms to form distorted NiPr4P4 tetrahedra that share corners with five NiPr4P4 tetrahedra, edges with three NiPr4P4 tetrahedra, and faces with four NiPr3P4 tetrahedra. There are two shorter (2.32 Å) and two longer (2.34 Å) Ni–P bond lengths. In the eleventh Ni site, Ni is bonded to four Pr and four P atoms to form a mixture of distorted edge, face, and corner-sharing NiPr4P4 tetrahedra. There are three shorter (2.34 Å) and one longer (2.39 Å) Ni–P bond lengths. In the twelfth Ni site, Ni is bonded to four Pr and four P atoms to form distorted NiPr4P4 tetrahedra that share corners with five NiPr4P4 tetrahedra, edges with three NiPr4P4 tetrahedra, and faces with four NiPr3Ni2P4 tetrahedra. There are a spread of Ni–P bond distances ranging from 2.32–2.35 Å. In the thirteenth Ni site, Ni is bonded in a 3-coordinate geometry to six Pr and three P atoms. There are a spread of Ni–P bond distances ranging from 2.29–2.32 Å. In the fourteenth Ni site, Ni is bonded in a 3-coordinate geometry to six Pr and three P atoms. There are two shorter (2.29 Å) and one longer (2.33 Å) Ni–P bond lengths. In the fifteenth Ni site, Ni is bonded in a 3-coordinate geometry to six Pr and three P atoms. There are two shorter (2.29 Å) and one longer (2.32 Å) Ni–P bond lengths. In the sixteenth Ni site, Ni is bonded in a 3-coordinate geometry to six Pr and three P atoms. There are a spread of Ni–P bond distances ranging from 2.29–2.31 Å. In the seventeenth Ni site, Ni is bonded in a 3-coordinate geometry to six Pr and three P atoms. There are two shorter (2.29 Å) and one longer (2.33 Å) Ni–P bond lengths. In the eighteenth Ni site, Ni is bonded in a 3-coordinate geometry to six Pr and three P atoms. There are a spread of Ni–P bond distances ranging from 2.28–2.32 Å. In the nineteenth Ni site, Ni is bonded to four Pr and four P atoms to form distorted NiPr4P4 tetrahedra that share a cornercorner with one NiPr4P4 tetrahedra, edges with four NiPr3Ni2P4 tetrahedra, and faces with four NiPr4P4 tetrahedra. There are two shorter (2.32 Å) and two longer (2.35 Å) Ni–P bond lengths. In the twentieth Ni site, Ni is bonded to four Pr and four P atoms to form distorted NiPr4P4 tetrahedra that share a cornercorner with one NiPr4P4 tetrahedra, edges with four NiPr3P4 tetrahedra, and faces with four NiPr4P4 tetrahedra. There are a spread of Ni–P bond distances ranging from 2.32–2.36 Å. In the twenty-first Ni site, Ni is bonded to four Pr and four P atoms to form a mixture of distorted edge, face, and corner-sharing NiPr4P4 tetrahedra. There are a spread of Ni–P bond distances ranging from 2.32–2.36 Å. In the twenty-second Ni site, Ni is bonded to four Pr and four P atoms to form distorted NiPr4P4 tetrahedra that share corners with three NiPr3P4 tetrahedra, edges with three NiPr4P4 tetrahedra, and faces with four NiPr4P4 tetrahedra. There are a spread of Ni–P bond distances ranging from 2.32–2.36 Å. In the twenty-third Ni site, Ni is bonded to four Pr and four P atoms to form a mixture of distorted edge, face, and corner-sharing NiPr4P4 tetrahedra. There are two shorter (2.32 Å) and two longer (2.34 Å) Ni–P bond lengths. In the twenty-fourth Ni site, Ni is bonded to four Pr and four P atoms to form distorted NiPr4P4 tetrahedra that share corners with three NiPr3Ni2P4 tetrahedra, edges with three NiPr4P4 tetrahedra, and faces with four NiPr4P4 tetrahedra. There are a spread of Ni–P bond distances ranging from 2.31–2.35 Å. In the twenty-fifth Ni site, Ni is bonded in a 3-coordinate geometry to one Pr and three P atoms. There are one shorter (2.17 Å) and two longer (2.39 Å) Ni–P bond lengths. In the twenty-sixth Ni site, Ni is bonded in a distorted trigonal non-coplanar geometry to one Pr and three P atoms. There are one shorter (2.19 Å) and two longer (2.36 Å) Ni–P bond lengths. In the twenty-seventh Ni site, Ni is bonded in a 3-coordinate geometry to one Pr and three P atoms. There are one shorter (2.16 Å) and two longer (2.38 Å) Ni–P bond lengths. In the twenty-eighth Ni site, Ni is bonded in a 3-coordinate geometry to one Pr, three Ni, and three P atoms. There are one shorter (2.18 Å) and two longer (2.32 Å) Ni–P bond lengths. There are twenty inequivalent P sites. In the first P site, P is bonded in a 3-coordinate geometry to six Pr and three Ni atoms. In the second P site, P is bonded in a 3-coordinate geometry to six Pr and three Ni atoms. In the third P site, P is bonded in a 6-coordinate geometry to two equivalent Pr and six Ni atoms. In the fourth P site, P is bonded in a 9-coordinate geometry to two equivalent Pr and seven Ni atoms. In the fifth P site, P is bonded in a 6-coordinate geometry to two equivalent Pr and six Ni atoms. In the sixth P site, P is bonded in a 9-coordinate geometry to two equivalent Pr and seven Ni atoms. In the seventh P site, P is bonded in a 7-coordinate geometry to two equivalent Pr and five Ni atoms. In the eighth P site, P is bonded in a 7-coordinate geometry to two equivalent Pr and five Ni atoms. In the ninth P site, P is bonded in a 9-coordinate geometry to four Pr and five Ni atoms. In the tenth P site, P is bonded in a 9-coordinate geometry to four Pr and five Ni atoms. In the eleventh P site, P is bonded in a 9-coordinate geometry to four Pr and five Ni atoms. In the twelfth P site, P is bonded in a 9-coordinate geometry to four Pr and five Ni atoms. In the thirteenth P site, P is bonded in a 9-coordinate geometry to four Pr and five Ni atoms. In the fourteenth P site, P is bonded in a 9-coordinate geometry to four Pr and five Ni atoms. In the fifteenth P site, P is bonded in a 9-coordinate geometry to four Pr and five Ni atoms. In the sixteenth P site, P is bonded in a 9-coordinate geometry to four Pr and five Ni atoms. In the seventeenth P site, P is bonded in a 9-coordinate geometry to four Pr and five Ni atoms. In the eighteenth P site, P is bonded in a 9-coordinate geometry to four Pr and five Ni atoms. In the nineteenth P site, P is bonded in a 9-coordinate geometry to four Pr and five Ni atoms. In the twentieth P site, P is bonded in a 9-coordinate geometry to four Pr and five Ni atoms.

36 MATERIALS SCIENCE↗

Materials Data on Ag5Sb23(PbS4)12 by Materials Project

Ag5Sb23(PbS4)12 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are five inequivalent Ag sites. In the first Ag site, Ag is bonded in a distorted see-saw-like geometry to four S atoms. There are a spread of Ag–S bond distances ranging from 2.51–2.74 Å. In the second Ag site, Ag is bonded in a see-saw-like geometry to four S atoms. There are a spread of Ag–S bond distances ranging from 2.49–2.79 Å. In the third Ag site, Ag is bonded in a see-saw-like geometry to four S atoms. There are a spread of Ag–S bond distances ranging from 2.51–2.77 Å. In the fourth Ag site, Ag is bonded in a see-saw-like geometry to four S atoms. There are a spread of Ag–S bond distances ranging from 2.50–2.75 Å. In the fifth Ag site, Ag is bonded to six S atoms to form AgS6 octahedra that share corners with two equivalent PbS6 octahedra and an edgeedge with one PbS6 octahedra. The corner-sharing octahedra tilt angles range from 14–28°. There are a spread of Ag–S bond distances ranging from 2.67–2.98 Å. There are twelve inequivalent Pb sites. In the first Pb site, Pb is bonded in a 4-coordinate geometry to four S atoms. There are a spread of Pb–S bond distances ranging from 2.77–3.10 Å. In the second Pb site, Pb is bonded in a 4-coordinate geometry to four S atoms. There are a spread of Pb–S bond distances ranging from 2.82–3.10 Å. In the third Pb site, Pb is bonded in a 4-coordinate geometry to four S atoms. There are a spread of Pb–S bond distances ranging from 2.83–3.05 Å. In the fourth Pb site, Pb is bonded in a 5-coordinate geometry to five S atoms. There are a spread of Pb–S bond distances ranging from 2.88–3.15 Å. In the fifth Pb site, Pb is bonded in a 7-coordinate geometry to seven S atoms. There are a spread of Pb–S bond distances ranging from 2.94–3.24 Å. In the sixth Pb site, Pb is bonded in a 6-coordinate geometry to six S atoms. There are a spread of Pb–S bond distances ranging from 2.91–3.15 Å. In the seventh Pb site, Pb is bonded in a 6-coordinate geometry to six S atoms. There are a spread of Pb–S bond distances ranging from 2.94–3.12 Å. In the eighth Pb site, Pb is bonded in a 6-coordinate geometry to six S atoms. There are a spread of Pb–S bond distances ranging from 2.96–3.13 Å. In the ninth Pb site, Pb is bonded to six S atoms to form PbS6 octahedra that share corners with two equivalent AgS6 octahedra, an edgeedge with one PbS6 octahedra, and an edgeedge with one SbS6 octahedra. The corner-sharing octahedra tilt angles range from 14–28°. There are a spread of Pb–S bond distances ranging from 2.88–3.13 Å. In the tenth Pb site, Pb is bonded to six S atoms to form PbS6 octahedra that share corners with two equivalent SbS6 octahedra, an edgeedge with one PbS6 octahedra, and an edgeedge with one SbS6 octahedra. The corner-sharing octahedra tilt angles range from 14–27°. There are a spread of Pb–S bond distances ranging from 2.89–3.09 Å. In the eleventh Pb site, Pb is bonded to six S atoms to form PbS6 octahedra that share corners with two equivalent SbS6 octahedra, an edgeedge with one AgS6 octahedra, and an edgeedge with one PbS6 octahedra. The corner-sharing octahedra tilt angles range from 14–27°. There are a spread of Pb–S bond distances ranging from 2.85–3.06 Å. In the twelfth Pb site, Pb is bonded to six S atoms to form PbS6 octahedra that share corners with two equivalent SbS6 octahedra, an edgeedge with one PbS6 octahedra, and an edgeedge with one SbS6 octahedra. The corner-sharing octahedra tilt angles range from 12–26°. There are a spread of Pb–S bond distances ranging from 2.87–3.13 Å. There are twenty-three inequivalent Sb sites. In the first Sb site, Sb is bonded in a 3-coordinate geometry to three S atoms. There are a spread of Sb–S bond distances ranging from 2.50–2.58 Å. In the second Sb site, Sb is bonded in a 3-coordinate geometry to three S atoms. There are a spread of Sb–S bond distances ranging from 2.46–2.59 Å. In the third Sb site, Sb is bonded in a 3-coordinate geometry to three S atoms. There are one shorter (2.50 Å) and two longer (2.57 Å) Sb–S bond lengths. In the fourth Sb site, Sb is bonded in a 3-coordinate geometry to three S atoms. There are one shorter (2.46 Å) and two longer (2.56 Å) Sb–S bond lengths. In the fifth Sb site, Sb is bonded in a rectangular see-saw-like geometry to four S atoms. There are a spread of Sb–S bond distances ranging from 2.53–2.87 Å. In the sixth Sb site, Sb is bonded in a rectangular see-saw-like geometry to four S atoms. There are a spread of Sb–S bond distances ranging from 2.54–2.94 Å. In the seventh Sb site, Sb is bonded in a distorted rectangular see-saw-like geometry to four S atoms. There are a spread of Sb–S bond distances ranging from 2.55–2.87 Å. In the eighth Sb site, Sb is bonded in a rectangular see-saw-like geometry to four S atoms. There are a spread of Sb–S bond distances ranging from 2.51–2.96 Å. In the ninth Sb site, Sb is bonded in a distorted rectangular see-saw-like geometry to four S atoms. There are a spread of Sb–S bond distances ranging from 2.49–2.96 Å. In the tenth Sb site, Sb is bonded in a distorted rectangular see-saw-like geometry to four S atoms. There are a spread of Sb–S bond distances ranging from 2.50–2.94 Å. In the eleventh Sb site, Sb is bonded in a distorted rectangular see-saw-like geometry to four S atoms. There are a spread of Sb–S bond distances ranging from 2.50–2.93 Å. In the twelfth Sb site, Sb is bonded in a distorted rectangular see-saw-like geometry to four S atoms. There are a spread of Sb–S bond distances ranging from 2.43–2.97 Å. In the thirteenth Sb site, Sb is bonded in a 3-coordinate geometry to three S atoms. There are a spread of Sb–S bond distances ranging from 2.49–2.57 Å. In the fourteenth Sb site, Sb is bonded in a distorted T-shaped geometry to three S atoms. There are two shorter (2.51 Å) and one longer (2.53 Å) Sb–S bond lengths. In the fifteenth Sb site, Sb is bonded in a 3-coordinate geometry to three S atoms. There are a spread of Sb–S bond distances ranging from 2.49–2.59 Å. In the sixteenth Sb site, Sb is bonded in a 3-coordinate geometry to three S atoms. There are a spread of Sb–S bond distances ranging from 2.43–2.57 Å. In the seventeenth Sb site, Sb is bonded in a distorted T-shaped geometry to three S atoms. There are a spread of Sb–S bond distances ranging from 2.46–2.54 Å. In the eighteenth Sb site, Sb is bonded in a distorted T-shaped geometry to three S atoms. There are a spread of Sb–S bond distances ranging from 2.49–2.53 Å. In the nineteenth Sb site, Sb is bonded in a 3-coordinate geometry to three S atoms. There are two shorter (2.49 Å) and one longer (2.54 Å) Sb–S bond lengths. In the twentieth Sb site, Sb is bonded in a 3-coordinate geometry to three S atoms. There are a spread of Sb–S bond distances ranging from 2.49–2.54 Å. In the twenty-first Sb site, Sb is bonded to six S atoms to form SbS6 octahedra that share corners with two equivalent PbS6 octahedra and an edgeedge with one PbS6 octahedra. The corner-sharing octahedra tilt angles range from 14–27°. There are a spread of Sb–S bond distances ranging from 2.70–2.89 Å. In the twenty-second Sb site, Sb is bonded to six S atoms to form SbS6 octahedra that share corners with two equivalent PbS6 octahedra and an edgeedge with one PbS6 octahedra. The corner-sharing octahedra tilt angles range from 14–27°. There are a spread of Sb–S bond distances ranging from 2.69–2.94 Å. In the twenty-third Sb site, Sb is bonded to six S atoms to form SbS6 octahedra that share corners with two equivalent PbS6 octahedra and an edgeedge with one PbS6 octahedra. The corner-sharing octahedra tilt angles range from 12–26°. There are a spread of Sb–S bond distances ranging from 2.68–2.94 Å. There are forty-eight inequivalent S sites. In the first S site, S is bonded in a rectangular see-saw-like geometry to one Pb and three Sb atoms. In the second S site, S is bonded in a distorted rectangular see-saw-like geometry to one Ag, one Pb, and two Sb atoms. In the third S site, S is bonded in a distorted rectangular see-saw-like geometry to one Pb and three Sb atoms. In the fourth S site, S is bonded in a distorted rectangular see-saw-like geometry to one Pb and three Sb atoms. In the fifth S site, S is bonded to one Ag, two Pb, and one Sb atom to form distorted corner-sharing SAgSbPb2 tetrahedra. In the sixth S site, S is bonded to two Pb and two Sb atoms to form distorted corner-sharing SSb2Pb2 tetrahedra. In the seventh S site, S is bonded to two Pb and two Sb atoms to form distorted corner-sharing SSb2Pb2 tetrahedra. In the eighth S site, S is bonded in a 4-coordinate geometry to two Pb and two Sb atoms. In the ninth S site, S is bonded to one Ag, two Pb, and one Sb atom to form distorted corner-sharing SAgSbPb2 tetrahedra. In the tenth S site, S is bonded to one Ag, two Pb, and one Sb atom to form distorted corner-sharing SAgSbPb2 tetrahedra. In the eleventh S site, S is bonded to one Ag, two Pb, and one Sb atom to form distorted corner-sharing SAgSbPb2 tetrahedra. In the twelfth S site, S is bonded in a 4-coordinate geometry to one Ag, two Pb, and one Sb atom. In the thirteenth S site, S is bonded in a 4-coordinate geometry to one Ag, one Pb, and two Sb atoms. In the fourteenth S site, S is bonded in a 4-coordinate geometry to one Ag, one Pb, and two Sb atoms. In the fifteenth S site, S is bonded in a 4-coordinate geometry to one Ag, one Pb, and two Sb atoms. In the sixteenth S site, S is bonded in a 5-coordinate geometry to two Ag, two Pb, and one Sb atom. In the seventeenth S site, S is bonded in a 4-coordinate geometry to two Pb and two Sb atoms. In the eighteenth S site, S is bonded in a 4-coordinate geometry to two Pb and two Sb atoms. In the nineteenth S site, S is bonded in a 4-coordinate geometry to two Pb and two Sb atoms. In the twentieth S site, S is bonded in a 4-coordinate geometry to two Pb and two Sb atoms. In the twenty-first S site, S is bonded in a 2-coordinate geometry to one Ag, one Pb, and one Sb atom. In the twenty-second S site, S is bonded in a 2-coordinate geometry to one Ag, one Pb, and one Sb atom. In the twenty-third S site, S is bonded in a 2-coordinate geometry to one Ag, one Pb, and one Sb atom. In the twenty-fourth S site, S is bonded in a 2-coordinate geometry to one Ag, one Pb, and one Sb atom. In the twenty-fifth S site, S is bonded in a distorted see-saw-like geometry to one Ag, two Pb, and one Sb atom. In the twenty-sixth S site, S is bonded in a distorted see-saw-like geometry to two Pb and two Sb atoms. In the twenty-seventh S site, S is bonded in a 4-coordinate geometry to two Pb and two Sb atoms. In the twenty-eighth S site, S is bonded in a 4-coordinate geometry to two Pb and two Sb atoms. In the twenty-ninth S site, S is bonded in a distorted rectangular see-saw-like geometry to one Ag, two Pb, and one Sb atom. In the thirtieth S site, S is bonded in a distorted rectangular see-saw-like geometry to two Pb and two Sb atoms. In the thirty-first S site, S is bonded in a distorted rectangular see-saw-like geometry to two Pb and two Sb atoms. In the thirty-second S site, S is bonded in a distorted rectangular see-saw-like geometry to two Pb and two Sb atoms. In the thirty-third S site, S is bonded in a distorted L-shaped geometry to one Pb and two Sb atoms. In the thirty-fourth S site, S is bonded in a 2-coordinate geometry to one Pb and two Sb atoms. In the thirty-fifth S site, S is bonded in a 2-coordinate geometry to one Pb and two Sb atoms. In the thirty-sixth S site, S is bonded in a distorted L-shaped geometry to one Pb and two Sb atoms. In the thirty-seventh S site, S is bonded in a 3-coordinate geometry to one Ag, one Pb, and two Sb atoms. In the thirty-eighth S site, S is bonded in a 4-coordinate geometry to one Ag, one Pb, and two Sb atoms. In the thirty-ninth S site, S is bonded in a distorted rectangular see-saw-like geometry to one Ag, one Pb, and two Sb atoms. In the fortieth S site, S is bonded in a 4-coordi

36 MATERIALS SCIENCE↗

Materials Data on Li7V3P8O29 by Materials Project

Li7V3P8O29 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are fourteen 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 1.97–2.19 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 1.93–2.33 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 63–66°. There are a spread of Li–O bond distances ranging from 1.87–2.16 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three VO6 octahedra and corners with four PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 67–69°. There are a spread of Li–O bond distances ranging from 1.88–2.27 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 1.95–2.27 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with four PO4 tetrahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.91–2.13 Å. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with four PO4 tetrahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.95–2.46 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 1.97–2.19 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 1.98–2.11 Å. In the tenth 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 1.84–2.25 Å. In the eleventh 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 1.95–2.33 Å. In the twelfth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with four PO4 tetrahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.95–2.29 Å. In the thirteenth 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 1.98–2.19 Å. In the fourteenth Li1+ site, Li1+ is bonded in a 3-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.83–2.77 Å. There are six inequivalent V+3.67+ sites. In the first V+3.67+ site, V+3.67+ 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 1.87–2.04 Å. In the second V+3.67+ site, V+3.67+ 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 1.87–2.05 Å. In the third V+3.67+ site, V+3.67+ 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 1.95–2.08 Å. In the fourth V+3.67+ site, V+3.67+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two LiO4 tetrahedra, corners with six PO4 tetrahedra, and edges with two LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 2.00–2.08 Å. In the fifth V+3.67+ site, V+3.67+ 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 1.86–2.04 Å. In the sixth V+3.67+ site, V+3.67+ 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 1.90–2.04 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 45–46°. There are a spread of P–O bond distances ranging from 1.48–1.62 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 49–51°. 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, a cornercorner with one PO4 tetrahedra, and corners with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 47–49°. 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 two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 27–36°. There are a spread of P–O bond distances ranging from 1.50–1.59 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra and corners with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 32–38°. There are a spread of P–O bond distances ranging from 1.51–1.60 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 46–48°. 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 36–47°. 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 three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 41–50°. There are a spread of P–O bond distances ranging from 1.52–1.60 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 45–47°. 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 PO4 tetrahedra, and corners with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 48–49°. There are a spread of P–O bond distances ranging from 1.50–1.60 Å. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 43–46°. There are a spread of P–O bond distances ranging from 1.50–1.62 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 two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 26–32°. There are a spread of P–O bond distances ranging from 1.48–1.62 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 32–37°. There are a spread of P–O bond distances ranging from 1.50–1.61 Å. In the fourteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 42–47°. There are a spread of P–O bond distances ranging from 1.51–1.60 Å. In the fifteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 44–48°. There are a spread of P–O bond distances ranging from 1.51–1.63 Å. In the sixteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 47–48°. There are a spread of P–O bond distances ranging from 1.51–1.61 Å. There are fifty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a trigonal planar geometry to two Li1+ and one P5+ atom. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+3.67+, 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 V+3.67+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+3.67+, and one P5+ atom. In the sixth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+3.67+ and one P5+ atom. In the seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+3.67+, and one P5+ atom. In the eighth O2- site, O2- is bonded in a trigonal planar geometry to two Li1+ and one P5+ atom. In the ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+3.67+, and one P5+ atom. In the tenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+3.67+, and one P5+ atom. In the eleventh O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one V+3.67+, and one P5+ atom. In the twelfth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+3.67+, 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 linear geometry to one Li1+ and one P5+ atom. In the fifteenth O2- site

36 MATERIALS SCIENCE↗

Materials Data on Li7V3P8O29 by Materials Project

Li7V3P8O29 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are fourteen 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 1.94–2.13 Å. In the second Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.99–2.25 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 67–69°. There are a spread of Li–O bond distances ranging from 1.87–2.30 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 2.00–2.09 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 1.98–2.23 Å. In the sixth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.93–2.15 Å. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with four PO4 tetrahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.97–2.15 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 1.99–2.09 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 1.87–2.31 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 1.97–2.06 Å. In the eleventh 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 1.98–2.28 Å. In the twelfth Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.97–2.38 Å. In the thirteenth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.92–2.67 Å. In the fourteenth Li1+ site, Li1+ is bonded in a distorted T-shaped geometry to three O2- atoms. There are a spread of Li–O bond distances ranging from 1.91–2.14 Å. There are six inequivalent V+3.67+ sites. In the first V+3.67+ site, V+3.67+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.89–2.00 Å. In the second V+3.67+ site, V+3.67+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two LiO4 tetrahedra, corners with six PO4 tetrahedra, and edges with two LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 2.02–2.06 Å. In the third V+3.67+ site, V+3.67+ 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 1.87–2.03 Å. In the fourth V+3.67+ site, V+3.67+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.91–2.03 Å. In the fifth V+3.67+ site, V+3.67+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and edges with two LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.97–2.07 Å. In the sixth V+3.67+ site, V+3.67+ 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 1.84–2.03 Å. There are sixteen inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with three LiO4 tetrahedra. The corner-sharing octahedral tilt angles are 46°. There are a spread of P–O bond distances ranging from 1.52–1.61 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 40–46°. There are a spread of P–O bond distances ranging from 1.50–1.62 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 42–46°. There are a spread of P–O bond distances ranging from 1.51–1.62 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra and corners with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 36–40°. There are a spread of P–O bond distances ranging from 1.51–1.58 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 27–36°. There are a spread of P–O bond distances ranging from 1.48–1.61 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 48–49°. There are a spread of P–O bond distances ranging from 1.50–1.62 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 46–48°. There are a spread of P–O bond distances ranging from 1.52–1.61 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 46–48°. There are a spread of P–O bond distances ranging from 1.51–1.62 Å. 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 41–45°. There are a spread of P–O bond distances ranging from 1.50–1.61 Å. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 40–46°. There are a spread of P–O bond distances ranging from 1.51–1.62 Å. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 38–47°. There are a spread of P–O bond distances ranging from 1.51–1.61 Å. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 37–39°. There are a spread of P–O bond distances ranging from 1.51–1.59 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 26–38°. 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 three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 45–46°. There are a spread of P–O bond distances ranging from 1.50–1.62 Å. In the fifteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 47–49°. 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 LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 41–46°. There are a spread of P–O bond distances ranging from 1.51–1.63 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 V+3.67+, 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 120 degrees geometry to one V+3.67+ and one P5+ atom. In the fifth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one V+3.67+, and one P5+ atom. In the sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+3.67+, and one P5+ atom. In the seventh O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one V+3.67+ and one P5+ atom. In the eighth O2- site, O2- is bonded in a 3-coordinate geometry to three Li1+ and one P5+ atom. In the ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+3.67+, and one P5+ atom. In the tenth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+3.67+ and one P5+ atom. In the eleventh O2- site, O2- is bonded in a bent 150 degrees geometry to one V+3.67+ and one P5+ atom. In the twelfth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+3.67+, 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 V+3.67+, and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+3.67+, and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one V+3.67+, and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+3.67+, 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

36 MATERIALS SCIENCE↗