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Materials Data on Li5V3P8O29 by Materials Project

Li5V3P8O29 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are ten inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four PO4 tetrahedra and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.88–2.27 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four PO4 tetrahedra and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.87–2.28 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with four PO4 tetrahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.97–2.21 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 65–66°. There are a spread of Li–O bond distances ranging from 1.89–2.25 Å. In the fifth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.91–2.33 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with four PO4 tetrahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.88–2.25 Å. In the seventh Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.97–2.29 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 1.90–2.26 Å. In the ninth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with four PO4 tetrahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.99–2.25 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 1.95–2.20 Å. There are six inequivalent V+4.33+ sites. In the first V+4.33+ site, V+4.33+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.84–1.99 Å. In the second V+4.33+ site, V+4.33+ 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 1.86–2.03 Å. In the third V+4.33+ site, V+4.33+ 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 1.81–1.98 Å. In the fourth V+4.33+ site, V+4.33+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and edges with two LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.89–2.01 Å. In the fifth V+4.33+ site, V+4.33+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.89–2.02 Å. In the sixth V+4.33+ site, V+4.33+ is bonded to six O2- atoms to form VO6 octahedra that share a cornercorner with one LiO4 tetrahedra, corners with six PO4 tetrahedra, and edges with two LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.83–2.01 Å. There are sixteen inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 37–47°. There are a spread of P–O bond distances ranging from 1.47–1.60 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 40–41°. There are a spread of P–O bond distances ranging from 1.50–1.60 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 41–46°. There are a spread of P–O bond distances ranging from 1.51–1.62 Å. In the 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 34–36°. There are a spread of P–O bond distances ranging from 1.51–1.60 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra and corners with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 31–36°. There is one shorter (1.49 Å) and three longer (1.59 Å) P–O bond length. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 45–47°. There are a spread of P–O bond distances ranging from 1.48–1.62 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 42–47°. 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 three LiO4 tetrahedra. The corner-sharing octahedral tilt angles are 43°. There are a spread of P–O bond distances ranging from 1.50–1.62 Å. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 41–44°. There are a spread of P–O bond distances ranging from 1.48–1.63 Å. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 38–43°. There are a spread of P–O bond distances ranging from 1.48–1.61 Å. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 39–47°. There are a spread of P–O bond distances ranging from 1.48–1.62 Å. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra and a cornercorner with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 31–35°. 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 a cornercorner with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 26–34°. There are a spread of P–O bond distances ranging from 1.48–1.62 Å. In the fourteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 37–46°. There are a spread of P–O bond distances ranging from 1.48–1.62 Å. In the fifteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 36–46°. There are a spread of P–O bond distances ranging from 1.50–1.61 Å. In the sixteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 38–46°. There are a spread of P–O bond distances ranging from 1.50–1.62 Å. There are fifty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Li1+ and one P5+ atom. In the second O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.33+ and one P5+ atom. In the third O2- site, O2- is bonded in a bent 120 degrees geometry to one Li1+ and one P5+ atom. In the fourth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.33+ and one P5+ atom. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+4.33+, and one P5+ atom. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+4.33+, and one P5+ atom. In the seventh O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.33+ and one P5+ atom. In the eighth O2- site, O2- is bonded in a trigonal planar geometry to two Li1+ and one P5+ atom. In the ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+4.33+, and one P5+ atom. In the tenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+4.33+, and one P5+ atom. In the eleventh O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.33+ and one P5+ atom. In the twelfth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+4.33+, and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a linear geometry to one Li1+ and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a single-bond geometry to one P5+ atom. In the fifteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+4.33+, and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+4.33+, and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+4.33+, and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+4.33+, and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two P5+ atoms. In the twentieth O2- site, O2- is bonded in a trigonal planar geometry to two Li1+ and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a bent 120 degrees geometry to one Li1+ and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one V+4.33+, and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+4.33+, and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+4.33

36 MATERIALS SCIENCE↗

Materials Data on Li6MnV3(PO4)6 by Materials Project

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

36 MATERIALS SCIENCE↗

Materials Data on Li6Mn3V(PO4)6 by Materials Project

Li6VMn3(PO4)6 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twelve inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a 4-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.99–2.49 Å. In the second Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 2.00–2.13 Å. In the third Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 2.00–2.05 Å. In the fourth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.94–2.05 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 1.97–2.08 Å. In the sixth Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.97–2.50 Å. In the seventh 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 1.97–2.56 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 1.98–2.10 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 1.94–2.03 Å. In the tenth Li1+ site, Li1+ is bonded in a 5-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.98–2.04 Å. In the eleventh 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 1.99–2.60 Å. In the twelfth 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 1.98–2.51 Å. There are two inequivalent V5+ sites. In the first V5+ site, V5+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.93–2.23 Å. In the second V5+ site, V5+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.94–2.10 Å. There are six inequivalent Mn+2.33+ sites. In the first Mn+2.33+ site, Mn+2.33+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 1.93–2.50 Å. In the second Mn+2.33+ site, Mn+2.33+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 1.88–2.22 Å. In the third Mn+2.33+ site, Mn+2.33+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 1.89–2.25 Å. In the fourth Mn+2.33+ site, Mn+2.33+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 1.89–2.16 Å. In the fifth Mn+2.33+ site, Mn+2.33+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Mn–O bond distances ranging from 1.92–2.52 Å. In the sixth Mn+2.33+ site, Mn+2.33+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 1.92–2.49 Å. There are twelve inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one VO6 octahedra and corners with three MnO6 octahedra. The corner-sharing octahedra tilt angles range from 30–45°. There are a spread of P–O bond distances ranging from 1.53–1.56 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and corners with two MnO6 octahedra. The corner-sharing octahedra tilt angles range from 12–46°. There are a spread of P–O bond distances ranging from 1.53–1.58 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one VO6 octahedra and corners with two MnO6 octahedra. The corner-sharing octahedra tilt angles range from 18–44°. There are a spread of P–O bond distances ranging from 1.51–1.58 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and corners with two MnO6 octahedra. The corner-sharing octahedra tilt angles range from 15–49°. There are a spread of P–O bond distances ranging from 1.52–1.58 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one VO6 octahedra and corners with three MnO6 octahedra. The corner-sharing octahedra tilt angles range from 25–47°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one VO6 octahedra and corners with two MnO6 octahedra. The corner-sharing octahedra tilt angles range from 31–37°. There are a spread of P–O bond distances ranging from 1.54–1.56 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one VO6 octahedra and corners with two MnO6 octahedra. The corner-sharing octahedra tilt angles range from 31–44°. There is three shorter (1.54 Å) and one longer (1.57 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 three MnO6 octahedra. The corner-sharing octahedra tilt angles range from 27–48°. There are a spread of P–O bond distances ranging from 1.54–1.58 Å. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one VO6 octahedra and corners with three MnO6 octahedra. The corner-sharing octahedra tilt angles range from 19–49°. There are a spread of P–O bond distances ranging from 1.51–1.59 Å. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three MnO6 octahedra. The corner-sharing octahedra tilt angles range from 39–48°. There are a spread of P–O bond distances ranging from 1.51–1.58 Å. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one VO6 octahedra and corners with two MnO6 octahedra. The corner-sharing octahedra tilt angles range from 26–48°. There are a spread of P–O bond distances ranging from 1.54–1.58 Å. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one VO6 octahedra and corners with three MnO6 octahedra. The corner-sharing octahedra tilt angles range from 32–42°. There are a spread of P–O bond distances ranging from 1.53–1.56 Å. There are forty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Mn+2.33+, and one P5+ atom. In the second O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Mn+2.33+, and one P5+ atom. In the third O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V5+, and one P5+ atom. In the fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V5+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a bent 150 degrees geometry to one V5+ and one P5+ atom. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn+2.33+, and one P5+ atom. In the seventh O2- site, O2- is bonded in a linear geometry to one V5+ and one P5+ atom. In the eighth O2- site, O2- is bonded to two Li1+, one Mn+2.33+, and one P5+ atom to form distorted OLi2MnP tetrahedra that share a cornercorner with one OLi2VP tetrahedra and an edgeedge with one OLi2MnP tetrahedra. In the ninth O2- site, O2- is bonded to two Li1+, one V5+, and one P5+ atom to form distorted OLi2VP tetrahedra that share a cornercorner with one OLi2MnP tetrahedra and an edgeedge with one OLi2VP tetrahedra. In the tenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn+2.33+, and one P5+ atom. In the eleventh O2- site, O2- is bonded in a 2-coordinate geometry to one Mn+2.33+ and one P5+ atom. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one V5+, and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Li1+, one Mn+2.33+, and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a distorted linear geometry to one V5+ and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V5+, and one P5+ atom. In the sixteenth O2- site, O2- is bonded to two Li1+, one Mn+2.33+, and one P5+ atom to form distorted OLi2MnP tetrahedra that share a cornercorner with one OLi2VP tetrahedra and an edgeedge with one OLi2MnP tetrahedra. In the seventeenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+2.33+ and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V5+, and one P5+ atom. In the nineteenth O2- site, O2- is bonded to two Li1+, one V5+, and one P5+ atom to form distorted OLi2VP tetrahedra that share a cornercorner with one OLi2MnP tetrahedra and an edgeedge with one OLi2VP tetrahedra. In the twentieth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+2.33+ and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one Mn+2.33+, and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one V5+, and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.33+, and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V5+, and one P5+ atom. In the twenty-fifth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn+2.33+, and one P5+ atom. In the twenty-sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.33+, and one P5+ atom. In the twenty-seventh O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Mn+2.33+, and one P5+ atom. In the twenty-eighth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn+2.33+, and one P5+ atom. In the twenty-ninth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+2.33+ and one P5+ atom. In the thirtieth O2- site, O2- is bonded to two Li1+, one Mn+2.33+, and one P5+ atom to form a mixture of distorted corner and edge-sharing OLi2MnP tetrahedra. In the thirty-first O2- site, O2- is bonded in a 3-coordinate geometry to two Li1+, one Mn+2.33+, and one P5+ atom. In the thirty-second O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+2.33+ and one P5+ atom. In the thirty-third O2- site, O2- is bonded to two Li1+, one Mn+2.33+, and one P5+ atom to form a mixture of distorted corner and edge-sharing OLi2MnP tetrahedra. In the thirty-fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn+2.33+, and one P5+ atom. In the thirty-fifth O2- site, O2- is bonded in a 2-coordinate geometry to one Mn+2.33+ and one P5+ atom. In the thirty-sixth O2- site, O2- is bonded in a 3-coordinate geometry to two Li1+, one Mn+2.33+, and one P5+ atom. In the thirty-seventh O2- site, O2- is bonded in a 3-coordinate geometry to two Li1+, one Mn+2.33+, and one P5+ atom. In the thirty-eighth O2- site, O2- is bonded in a 2-coordinate geometry to one Mn+2.33+ and one P5+ atom. In the thirty-ninth O2- site, O2- is bonded in a 3-coordinate geometry to one Li

36 MATERIALS SCIENCE↗

Materials Data on Li3MnV(PO4)3 by Materials Project

Li3VMn(PO4)3 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twelve inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with six PO4 tetrahedra, a faceface with one VO6 octahedra, and a faceface with one MnO6 octahedra. There are a spread of Li–O bond distances ranging from 2.13–2.30 Å. In the second 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 2.10–2.49 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with six PO4 tetrahedra and faces with two VO6 octahedra. There are a spread of Li–O bond distances ranging from 2.18–2.29 Å. In the fourth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.11–2.55 Å. In the fifth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.08–2.73 Å. In the sixth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.04–2.67 Å. In the seventh Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.18–2.38 Å. In the eighth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.06–2.59 Å. In the ninth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with six PO4 tetrahedra and faces with two MnO6 octahedra. There are a spread of Li–O bond distances ranging from 2.22–2.35 Å. In the tenth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.10–2.49 Å. In the eleventh Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.05–2.57 Å. In the twelfth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.09–2.66 Å. There are four inequivalent V4+ sites. In the first V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.96–2.06 Å. In the second V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and a faceface with one LiO6 octahedra. There are a spread of V–O bond distances ranging from 1.99–2.11 Å. In the third V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and a faceface with one LiO6 octahedra. There are a spread of V–O bond distances ranging from 1.96–2.08 Å. In the fourth V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and a faceface with one LiO6 octahedra. There are a spread of V–O bond distances ranging from 1.99–2.10 Å. There are four inequivalent Mn2+ sites. In the first Mn2+ site, Mn2+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with six PO4 tetrahedra and a faceface with one LiO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.89–2.18 Å. In the second Mn2+ site, Mn2+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with six PO4 tetrahedra and a faceface with one LiO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.90–2.16 Å. In the third Mn2+ site, Mn2+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with six PO4 tetrahedra and a faceface with one LiO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.90–2.21 Å. In the fourth Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 1.90–2.18 Å. There are twelve inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with two LiO6 octahedra, and corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 29–46°. There are a spread of P–O bond distances ranging from 1.53–1.57 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one VO6 octahedra, corners with two LiO6 octahedra, and corners with three MnO6 octahedra. The corner-sharing octahedra tilt angles range from 33–47°. There are a spread of P–O bond distances ranging from 1.52–1.58 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two LiO6 octahedra, corners with two VO6 octahedra, and corners with two MnO6 octahedra. The corner-sharing octahedra tilt angles range from 17–47°. There are a spread of P–O bond distances ranging from 1.53–1.58 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one VO6 octahedra, and corners with three MnO6 octahedra. The corner-sharing octahedra tilt angles range from 15–48°. There are a spread of P–O bond distances ranging from 1.53–1.57 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one MnO6 octahedra, and corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 27–49°. All P–O bond lengths are 1.55 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two LiO6 octahedra, corners with two VO6 octahedra, and corners with two MnO6 octahedra. The corner-sharing octahedra tilt angles range from 28–45°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one MnO6 octahedra, and corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 26–46°. There are a spread of P–O bond distances ranging from 1.52–1.59 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one VO6 octahedra, and corners with three MnO6 octahedra. The corner-sharing octahedra tilt angles range from 27–45°. There are a spread of P–O bond distances ranging from 1.52–1.58 Å. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with two LiO6 octahedra, and corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 28–45°. There are a spread of P–O bond distances ranging from 1.54–1.56 Å. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, corners with two VO6 octahedra, and corners with two MnO6 octahedra. The corner-sharing octahedra tilt angles range from 24–46°. There are a spread of P–O bond distances ranging from 1.53–1.56 Å. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, corners with two VO6 octahedra, and corners with two MnO6 octahedra. The corner-sharing octahedra tilt angles range from 12–47°. There are a spread of P–O bond distances ranging from 1.51–1.58 Å. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one VO6 octahedra, corners with two LiO6 octahedra, and corners with three MnO6 octahedra. The corner-sharing octahedra tilt angles range from 16–46°. There are a spread of P–O bond distances ranging from 1.53–1.57 Å. There are forty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a linear geometry to one V4+ and one P5+ atom. In the second O2- site, O2- is bonded in a linear geometry to one Mn2+ and one P5+ atom. In the third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one V4+, and one P5+ atom. In the fourth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Li1+, one Mn2+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V4+, and one P5+ atom. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn2+, and one P5+ atom. In the seventh O2- site, O2- is bonded to three Li1+, one V4+, and one P5+ atom to form distorted corner-sharing OLi3VP trigonal bipyramids. In the eighth O2- site, O2- is bonded to three Li1+, one Mn2+, and one P5+ atom to form distorted OLi3MnP trigonal bipyramids that share a cornercorner with one OLi3VP trigonal bipyramid and an edgeedge with one OLi2VP trigonal pyramid. In the ninth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V4+, and one P5+ atom. In the tenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Mn2+, and one P5+ atom. In the eleventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Mn2+, and one P5+ atom. In the twelfth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn2+, and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one V4+, and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V4+, and one P5+ atom. In the fifteenth O2- site, O2- is bonded to two Li1+, one V4+, and one P5+ atom to form distorted OLi2VP trigonal pyramids that share a cornercorner with one OLi2MnP trigonal pyramid and an edgeedge with one OLi3MnP trigonal bipyramid. In the sixteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn2+, and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one V4+, and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Mn2+, and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one V4+ and one P5+ atom. In the twentieth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn2+ and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a 4-coordinate geometry to three Li1+, one V4+, and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a 4-coordinate geometry to three Li1+, one Mn2+, and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, one V4+, and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn2+, and one P5+ atom. In the twenty-fifth O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, one V4+, and one P5+ atom. In the twenty-sixth O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, one V4+, and one P5+ atom. In the twenty-seventh O2- site, O2- is bonded in a 5-coordinate geometry to three Li1+, one Mn2+, and one P5+ atom. In the twenty-eighth O2- site, O2- is bonded in a 5-coordinate geometry to three Li1+, one Mn2+, and one P5+ atom. In the twenty-ninth O2- site, O2- is bonded in a bent 150 degrees geometry to one V4+ and one P5+ atom. In the thirtieth O2- site, O2- is bonded in a bent 150 degrees geometry to one V4+ and one P5+ atom. In the thirty-first O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Mn2+, and one P5+ atom. In the thirty-second O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Mn2+, and one P5+ atom. In the thirty-third O2- site, O2- is bonded

36 MATERIALS SCIENCE↗

Materials Data on Li6Zn3(PS4)4 by Materials Project

Li6Zn3(PS4)4 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twenty-four inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four S2- atoms to form distorted LiS4 tetrahedra that share a cornercorner with one ZnS4 tetrahedra, corners with four PS4 tetrahedra, and corners with seven LiS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.54–2.66 Å. In the second Li1+ site, Li1+ is bonded to four S2- atoms to form distorted LiS4 tetrahedra that share corners with two ZnS4 tetrahedra, corners with four PS4 tetrahedra, and corners with six LiS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.55–2.63 Å. In the third Li1+ site, Li1+ is bonded to four S2- atoms to form distorted LiS4 tetrahedra that share corners with three ZnS4 tetrahedra, corners with four PS4 tetrahedra, and corners with five LiS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.57–2.61 Å. In the fourth Li1+ site, Li1+ is bonded to four S2- atoms to form distorted LiS4 tetrahedra that share corners with two ZnS4 tetrahedra, corners with four PS4 tetrahedra, and corners with six LiS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.61–2.63 Å. In the fifth Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share corners with four ZnS4 tetrahedra and corners with four PS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.47–2.49 Å. In the sixth Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share corners with four ZnS4 tetrahedra and corners with four PS4 tetrahedra. There are one shorter (2.44 Å) and three longer (2.47 Å) Li–S bond lengths. In the seventh Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share a cornercorner with one LiS4 tetrahedra, corners with three ZnS4 tetrahedra, and corners with four PS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.42–2.53 Å. In the eighth Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share a cornercorner with one LiS4 tetrahedra, corners with three ZnS4 tetrahedra, and corners with four PS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.46–2.49 Å. In the ninth Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share corners with four ZnS4 tetrahedra and corners with four PS4 tetrahedra. There are one shorter (2.43 Å) and three longer (2.47 Å) Li–S bond lengths. In the tenth Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share corners with four ZnS4 tetrahedra and corners with four PS4 tetrahedra. There are two shorter (2.47 Å) and two longer (2.48 Å) Li–S bond lengths. In the eleventh Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share a cornercorner with one ZnS4 tetrahedra, corners with four PS4 tetrahedra, and corners with five LiS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.41–2.47 Å. In the twelfth Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share a cornercorner with one ZnS4 tetrahedra, corners with four PS4 tetrahedra, and corners with six LiS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.39–2.48 Å. In the thirteenth Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share a cornercorner with one LiS4 tetrahedra, corners with four ZnS4 tetrahedra, and corners with four PS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.42–2.49 Å. In the fourteenth Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share a cornercorner with one LiS4 tetrahedra, corners with four ZnS4 tetrahedra, and corners with four PS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.42–2.45 Å. In the fifteenth Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share corners with two ZnS4 tetrahedra, corners with three LiS4 tetrahedra, and corners with four PS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.37–2.48 Å. In the sixteenth Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share corners with two ZnS4 tetrahedra, corners with four LiS4 tetrahedra, and corners with four PS4 tetrahedra. There are two shorter (2.44 Å) and two longer (2.46 Å) Li–S bond lengths. In the seventeenth Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share corners with three ZnS4 tetrahedra, corners with four LiS4 tetrahedra, and corners with four PS4 tetrahedra. There are one shorter (2.40 Å) and three longer (2.42 Å) Li–S bond lengths. In the eighteenth Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share corners with three LiS4 tetrahedra, corners with three ZnS4 tetrahedra, and corners with four PS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.39–2.48 Å. In the nineteenth Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share corners with two LiS4 tetrahedra, corners with three ZnS4 tetrahedra, and corners with four PS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.40–2.50 Å. In the twentieth Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share a cornercorner with one LiS4 tetrahedra, corners with three ZnS4 tetrahedra, and corners with four PS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.43–2.48 Å. In the twenty-first Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share corners with four PS4 tetrahedra and corners with five LiS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.38–2.45 Å. In the twenty-second Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share corners with four PS4 tetrahedra and corners with six LiS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.36–2.43 Å. In the twenty-third Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share corners with four PS4 tetrahedra and corners with seven LiS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.37–2.42 Å. In the twenty-fourth Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share corners with four PS4 tetrahedra and corners with six LiS4 tetrahedra. There are three shorter (2.39 Å) and one longer (2.46 Å) Li–S bond lengths. There are twelve inequivalent Zn2+ sites. In the first Zn2+ site, Zn2+ is bonded to four S2- atoms to form ZnS4 tetrahedra that share corners with four LiS4 tetrahedra and corners with four PS4 tetrahedra. There are a spread of Zn–S bond distances ranging from 2.36–2.39 Å. In the second Zn2+ site, Zn2+ is bonded to four S2- atoms to form ZnS4 tetrahedra that share corners with four PS4 tetrahedra and corners with five LiS4 tetrahedra. There are a spread of Zn–S bond distances ranging from 2.35–2.39 Å. In the third Zn2+ site, Zn2+ is bonded to four S2- atoms to form ZnS4 tetrahedra that share corners with four LiS4 tetrahedra and corners with four PS4 tetrahedra. There are three shorter (2.37 Å) and one longer (2.38 Å) Zn–S bond lengths. In the fourth Zn2+ site, Zn2+ is bonded to four S2- atoms to form ZnS4 tetrahedra that share corners with four LiS4 tetrahedra and corners with four PS4 tetrahedra. There are one shorter (2.35 Å) and three longer (2.38 Å) Zn–S bond lengths. In the fifth Zn2+ site, Zn2+ is bonded to four S2- atoms to form ZnS4 tetrahedra that share corners with four LiS4 tetrahedra and corners with four PS4 tetrahedra. There are three shorter (2.37 Å) and one longer (2.38 Å) Zn–S bond lengths. In the sixth Zn2+ site, Zn2+ is bonded to four S2- atoms to form ZnS4 tetrahedra that share corners with four LiS4 tetrahedra and corners with four PS4 tetrahedra. There are three shorter (2.37 Å) and one longer (2.38 Å) Zn–S bond lengths. In the seventh Zn2+ site, Zn2+ is bonded to four S2- atoms to form ZnS4 tetrahedra that share corners with four PS4 tetrahedra and corners with five LiS4 tetrahedra. There are a spread of Zn–S bond distances ranging from 2.35–2.40 Å. In the eighth Zn2+ site, Zn2+ is bonded to four S2- atoms to form ZnS4 tetrahedra that share corners with four LiS4 tetrahedra and corners with four PS4 tetrahedra. There are a spread of Zn–S bond distances ranging from 2.35–2.41 Å. In the ninth Zn2+ site, Zn2+ is bonded to four S2- atoms to form ZnS4 tetrahedra that share corners with four LiS4 tetrahedra and corners with four PS4 tetrahedra. There are a spread of Zn–S bond distances ranging from 2.35–2.40 Å. In the tenth Zn2+ site, Zn2+ is bonded to four S2- atoms to form ZnS4 tetrahedra that share corners with four PS4 tetrahedra and corners with six LiS4 tetrahedra. There are a spread of Zn–S bond distances ranging from 2.33–2.39 Å. In the eleventh Zn2+ site, Zn2+ is bonded to four S2- atoms to form ZnS4 tetrahedra that share corners with four PS4 tetrahedra and corners with seven LiS4 tetrahedra. There are two shorter (2.35 Å) and two longer (2.37 Å) Zn–S bond lengths. In the twelfth Zn2+ site, Zn2+ is bonded to four S2- atoms to form ZnS4 tetrahedra that share corners with four PS4 tetrahedra and corners with five LiS4 tetrahedra. There are a spread of Zn–S bond distances ranging from 2.33–2.41 Å. There are sixteen inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four S2- atoms to form PS4 tetrahedra that share corners with four LiS4 tetrahedra and corners with four ZnS4 tetrahedra. There are two shorter (2.06 Å) and two longer (2.07 Å) P–S bond lengths. In the second P5+ site, P5+ is bonded to four S2- atoms to form PS4 tetrahedra that share corners with four LiS4 tetrahedra and corners with four ZnS4 tetrahedra. All P–S bond lengths are 2.06 Å. In the third P5+ site, P5+ is bonded to four S2- atoms to form PS4 tetrahedra that share corners with four LiS4 tetrahedra and corners with four ZnS4 tetrahedra. There are three shorter (2.06 Å) and one longer (2.07 Å) P–S bond lengths. In the fourth P5+ site, P5+ is bonded to four S2- atoms to form PS4 tetrahedra that share corners with three ZnS4 tetrahedra and corners with five LiS4 tetrahedra. There are a spread of P–S bond distances ranging from 2.02–2.08 Å. In the fifth P5+ site, P5+ is bonded to four S2- atoms to form PS4 tetrahedra that share corners with four LiS4 tetrahedra and corners with four ZnS4 tetrahedra. There are three shorter (2.06 Å) and one longer (2.07 Å) P–S bond lengths. In the sixth P5+ site, P5+ is bonded to four S2- atoms to form PS4 tetrahedra that share corners with four LiS4 tetrahedra and corners with four ZnS4 tetrahedra. There are three shorter (2.06 Å) and one longer (2.07 Å) P–S bond lengths. In the seventh P5+ site, P5+ is bonded to four S2- atoms to form PS4 tetrahedra that share corners with three ZnS4 tetrahedra and corners with six LiS4 tetrahedra. There are a spread of P–S bond distances ranging from 2.05–2.07 Å. In the eighth P5+ site, P5+ is bonded to four S2- atoms to form PS4 tetrahedra that share corners with two ZnS4 tetrahedra and corners with seven LiS4 tetrahedra. There are a spread of P–S bond distances ranging from 2.02–2.12 Å. In the ninth P5+ site, P5+ is bonded to four S2- atoms to form PS4 tetrahedra that share corners with three ZnS4 tetrahedra and corners with seven LiS4 tetrahedra. There are a spread of P–S bond distances ranging from 2.05–2.10 Å. In the tenth P5+ site, P5+ is bonded to four S2- atoms to form PS4 tetrahedra that share corners with three ZnS4 tetrahedra and corners with seven LiS4 tetrahedra. There are a spread of P–S bond distances ranging from 2.01–2.11 Å. In the eleventh P5+ site, P5+ is bonded to four S2- atoms to form PS4 tetrahedra that share corners with two ZnS4 tetrahedra and corners with seven LiS4 tetrahedra. There are a spread of P–S bond distances ranging from 2.02–2.08 Å. In the twelfth P5+ site, P5+ is bonded to four S2-

36 MATERIALS SCIENCE↗

Materials Data on Li5V3P8O29 by Materials Project

Li5V3P8O29 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are ten inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with four PO4 tetrahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.89–2.24 Å. In the second Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.97–2.38 Å. In the third Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 2.00–2.12 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with four PO4 tetrahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 2.01–2.13 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with four PO4 tetrahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.98–2.21 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 1.89–2.33 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 1.95–2.14 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 1.96–2.25 Å. In the ninth 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 2.01–2.75 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 1.86–2.58 Å. There are six inequivalent V+4.33+ sites. In the first V+4.33+ site, V+4.33+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.86–2.00 Å. In the second V+4.33+ site, V+4.33+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.86–2.02 Å. In the third V+4.33+ site, V+4.33+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.89–2.01 Å. In the fourth V+4.33+ site, V+4.33+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.89–1.99 Å. In the fifth V+4.33+ site, V+4.33+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.86–1.94 Å. In the sixth V+4.33+ site, V+4.33+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.85–1.99 Å. There are sixteen inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 39–40°. 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 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 42–44°. There are a spread of P–O bond distances ranging from 1.50–1.60 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 38–48°. There are a spread of P–O bond distances ranging from 1.50–1.62 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra and a cornercorner with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 30–38°. There are a spread of P–O bond distances ranging from 1.49–1.59 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra and a cornercorner with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 32–36°. There are a spread of P–O bond distances ranging from 1.49–1.61 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 40–42°. 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 PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 39–48°. There are a spread of P–O bond distances ranging from 1.50–1.61 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 40–45°. There are a spread of P–O bond distances ranging from 1.51–1.62 Å. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 40–42°. There are a spread of P–O bond distances ranging from 1.48–1.63 Å. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 39–45°. There are a spread of P–O bond distances ranging from 1.48–1.62 Å. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 41–42°. There are a spread of P–O bond distances ranging from 1.52–1.61 Å. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra and a cornercorner with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 27–36°. There is one shorter (1.49 Å) and three longer (1.58 Å) P–O bond length. In the thirteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra and a cornercorner with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 34–40°. There are a spread of P–O bond distances ranging from 1.49–1.63 Å. In the fourteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 38–46°. There are a spread of P–O bond distances ranging from 1.48–1.62 Å. In the fifteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 39–47°. There are a spread of P–O bond distances ranging from 1.50–1.62 Å. In the sixteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 38–46°. There are a spread of P–O bond distances ranging from 1.51–1.62 Å. There are fifty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a bent 120 degrees geometry to one Li1+ and one P5+ atom. In the second O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one V+4.33+ and one P5+ atom. In the third O2- site, O2- is bonded in a bent 150 degrees geometry to one Li1+ and one P5+ atom. In the fourth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.33+ and one P5+ atom. In the fifth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.33+ and one P5+ atom. In the sixth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.33+ and one P5+ atom. In the seventh O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.33+ and one P5+ atom. In the eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Li1+ and one P5+ atom. In the ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+4.33+, and one P5+ atom. In the tenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+4.33+, and one P5+ atom. In the eleventh O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.33+ and one P5+ atom. In the twelfth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+4.33+, and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a single-bond geometry to one P5+ atom. In the fourteenth O2- site, O2- is bonded in a single-bond geometry to one P5+ atom. In the fifteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one V+4.33+, and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.33+ and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one V+4.33+, and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+4.33+, and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two P5+ atoms. In the twentieth O2- site, O2- is bonded in a trigonal planar geometry to two Li1+ and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a 3-coordinate geometry to two Li1+ and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.33+ and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+4.33+, and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+4.33+, and one P5+ atom. In the twenty-fifth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.33+ and one P5+ atom. In the twenty-sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+4.33+, and one P5+ atom. In the twenty-seventh O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two P5+ atoms. In the twenty-eighth O2- site, O2- is bonded in a trigonal planar geometry to two Li1+ and one P5+ atom. In the twenty-ninth O2- site, O2- is bonded in a trigonal planar geometry to two Li1+ and one P5+ atom. In the thirtieth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+4.33+, and one P5+ atom. In the thirty-first O2- site, O2- i

36 MATERIALS SCIENCE↗

Materials Data on Li3MnV(PO4)3 by Materials Project

Li3VMn(PO4)3 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twelve inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.21–2.37 Å. In the second 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 2.07–2.57 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with six PO4 tetrahedra, a faceface with one VO6 octahedra, and a faceface with one MnO6 octahedra. There are a spread of Li–O bond distances ranging from 2.17–2.42 Å. In the fourth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.00–2.68 Å. In the fifth Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 2.07–2.55 Å. In the sixth Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 2.00–2.42 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with six PO4 tetrahedra, a faceface with one VO6 octahedra, and a faceface with one MnO6 octahedra. There are a spread of Li–O bond distances ranging from 2.09–2.51 Å. In the eighth Li1+ site, Li1+ is bonded in a 5-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.12–2.76 Å. In the ninth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with six PO4 tetrahedra and faces with two MnO6 octahedra. There are a spread of Li–O bond distances ranging from 2.17–2.32 Å. In the tenth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 1.98–2.62 Å. In the eleventh Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.11–2.57 Å. In the twelfth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.03–2.71 Å. There are four inequivalent V4+ sites. In the first V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and a faceface with one LiO6 octahedra. There are a spread of V–O bond distances ranging from 1.96–2.10 Å. In the second V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and a faceface with one LiO6 octahedra. There are a spread of V–O bond distances ranging from 1.88–2.05 Å. In the third V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.85–2.07 Å. In the fourth V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.97–2.12 Å. There are four inequivalent Mn2+ sites. In the first Mn2+ site, Mn2+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with six PO4 tetrahedra and a faceface with one LiO6 octahedra. There are a spread of Mn–O bond distances ranging from 2.01–2.22 Å. In the second Mn2+ site, Mn2+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with six PO4 tetrahedra and a faceface with one LiO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.89–2.21 Å. In the third Mn2+ site, Mn2+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with six PO4 tetrahedra and a faceface with one LiO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.99–2.20 Å. In the fourth Mn2+ site, Mn2+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with six PO4 tetrahedra and a faceface with one LiO6 octahedra. There are a spread of Mn–O bond distances ranging from 2.04–2.29 Å. There are twelve inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one MnO6 octahedra, and corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 30–48°. There are a spread of P–O bond distances ranging from 1.52–1.59 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one VO6 octahedra, and corners with three MnO6 octahedra. The corner-sharing octahedra tilt angles range from 36–47°. There are a spread of P–O bond distances ranging from 1.52–1.59 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two LiO6 octahedra, corners with two VO6 octahedra, and corners with two MnO6 octahedra. The corner-sharing octahedra tilt angles range from 15–47°. 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 a cornercorner with one LiO6 octahedra, corners with two VO6 octahedra, and corners with two MnO6 octahedra. The corner-sharing octahedra tilt angles range from 14–56°. There are a spread of P–O bond distances ranging from 1.51–1.60 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra and corners with four VO6 octahedra. The corner-sharing octahedra tilt angles range from 27–47°. There are a spread of P–O bond distances ranging from 1.53–1.57 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two LiO6 octahedra, corners with two VO6 octahedra, and corners with two MnO6 octahedra. The corner-sharing octahedra tilt angles range from 28–46°. There are a spread of P–O bond distances ranging from 1.52–1.58 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with two LiO6 octahedra, and corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 19–47°. There are a spread of P–O bond distances ranging from 1.52–1.57 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one VO6 octahedra, corners with two LiO6 octahedra, and corners with three MnO6 octahedra. The corner-sharing octahedra tilt angles range from 21–50°. There are a spread of P–O bond distances ranging from 1.53–1.58 Å. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two LiO6 octahedra, corners with two VO6 octahedra, and corners with two MnO6 octahedra. The corner-sharing octahedra tilt angles range from 16–51°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, corners with two VO6 octahedra, and corners with two MnO6 octahedra. The corner-sharing octahedra tilt angles range from 15–55°. There is two shorter (1.53 Å) and two longer (1.57 Å) P–O bond length. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, corners with two VO6 octahedra, and corners with two MnO6 octahedra. The corner-sharing octahedra tilt angles range from 10–47°. There are a spread of P–O bond distances ranging from 1.52–1.58 Å. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two LiO6 octahedra and corners with four MnO6 octahedra. The corner-sharing octahedra tilt angles range from 13–53°. There are a spread of P–O bond distances ranging from 1.50–1.59 Å. There are forty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a linear geometry to one V4+ and one P5+ atom. In the second O2- site, O2- is bonded in a linear geometry to one Mn2+ and one P5+ atom. In the third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one V4+, and one P5+ atom. In the fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one V4+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V4+, and one P5+ atom. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn2+, and one P5+ atom. In the seventh O2- site, O2- is bonded in a 5-coordinate geometry to three Li1+, one V4+, and one P5+ atom. In the eighth O2- site, O2- is bonded in a 5-coordinate geometry to three Li1+, one V4+, and one P5+ atom. In the ninth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V4+, and one P5+ atom. In the tenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one V4+, and one P5+ atom. In the eleventh O2- site, O2- is bonded to two Li1+, one Mn2+, and one P5+ atom to form distorted corner-sharing OLi2MnP trigonal pyramids. In the twelfth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn2+, and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one V4+, and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V4+, and one P5+ atom. In the fifteenth O2- site, O2- is bonded to two Li1+, one V4+, and one P5+ atom to form distorted corner-sharing OLi2VP trigonal pyramids. In the sixteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Li1+, one V4+, and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a 2-coordinate geometry to two Li1+, one V4+, and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a 1-coordinate geometry to two Li1+, one Mn2+, and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one V4+ and one P5+ atom. In the twentieth O2- site, O2- is bonded in a bent 150 degrees geometry to one V4+ and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a 5-coordinate geometry to three Li1+, one V4+, and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a 5-coordinate geometry to three Li1+, one Mn2+, and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a distorted linear geometry to one V4+ and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted linear geometry to one V4+ and one P5+ atom. In the twenty-fifth O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, one V4+, and one P5+ atom. In the twenty-sixth O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, one Mn2+, and one P5+ atom. In the twenty-seventh O2- site, O2- is bonded in a 5-coordinate geometry to three Li1+, one Mn2+, and one P5+ atom. In the twenty-eighth O2- site, O2- is bonded in a 5-coordinate geometry to three Li1+, one Mn2+, and one P5+ atom. In the twenty-ninth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one V4+ and one P5+ atom. In the thirtieth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn2+ and one P5+ atom. In the thirty-first O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Mn2+, and one P5+ atom. In the thirty-second O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Mn2+, and one P5+ atom. In the thirty-third O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V4+, and one P5+ atom. In the thirty-fourth O2- site, O2- is bonded to two Li1+, one Mn2+, and one P5+ atom to form distorted OLi2MnP trigonal pyramids that share a cornercorner with one OLi2VP trigonal

36 MATERIALS SCIENCE↗

Materials Data on Li6Mn3V(PO4)6 by Materials Project

Li6VMn3(PO4)6 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twelve inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.97–2.10 Å. In the second Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.97–2.10 Å. In the third Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are three shorter (2.00 Å) and one longer (2.02 Å) Li–O bond lengths. In the fourth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.94–2.04 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 2.00–2.07 Å. In the sixth 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 1.99–2.53 Å. In the seventh 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 1.97–2.12 Å. In the eighth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.98–2.09 Å. In the ninth Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.98–2.66 Å. In the tenth Li1+ site, Li1+ is bonded in a 5-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.95–2.03 Å. In the eleventh 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 1.99–2.65 Å. In the twelfth 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 1.98–2.50 Å. There are two inequivalent V5+ sites. In the first V5+ site, V5+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.95–2.29 Å. In the second V5+ site, V5+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.92–2.12 Å. There are six inequivalent Mn+2.33+ sites. In the first Mn+2.33+ site, Mn+2.33+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 1.93–2.43 Å. In the second Mn+2.33+ site, Mn+2.33+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 1.90–2.23 Å. In the third Mn+2.33+ site, Mn+2.33+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 1.88–2.22 Å. In the fourth Mn+2.33+ site, Mn+2.33+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 1.90–2.23 Å. In the fifth Mn+2.33+ site, Mn+2.33+ is bonded in a 5-coordinate geometry to six O2- atoms. There are a spread of Mn–O bond distances ranging from 1.92–2.56 Å. In the sixth Mn+2.33+ site, Mn+2.33+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Mn–O bond distances ranging from 1.94–2.55 Å. There are twelve inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three MnO6 octahedra. The corner-sharing octahedra tilt angles range from 31–40°. There are a spread of P–O bond distances ranging from 1.53–1.57 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and corners with two MnO6 octahedra. The corner-sharing octahedra tilt angles range from 20–47°. There are a spread of P–O bond distances ranging from 1.53–1.57 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra and corners with two VO6 octahedra. The corner-sharing octahedra tilt angles range from 16–46°. There are a spread of P–O bond distances ranging from 1.51–1.58 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one VO6 octahedra and corners with two MnO6 octahedra. The corner-sharing octahedra tilt angles range from 17–48°. There are a spread of P–O bond distances ranging from 1.51–1.57 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one VO6 octahedra and corners with three MnO6 octahedra. The corner-sharing octahedra tilt angles range from 18–46°. There are a spread of P–O bond distances ranging from 1.53–1.57 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra and corners with two VO6 octahedra. The corner-sharing octahedra tilt angles range from 28–37°. There are a spread of P–O bond distances ranging from 1.53–1.56 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra and corners with two VO6 octahedra. The corner-sharing octahedra tilt angles range from 30–42°. There are a spread of P–O bond distances ranging from 1.53–1.56 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two MnO6 octahedra. The corner-sharing octahedra tilt angles range from 27–43°. There are a spread of P–O bond distances ranging from 1.54–1.58 Å. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three MnO6 octahedra. The corner-sharing octahedra tilt angles range from 40–48°. There are a spread of P–O bond distances ranging from 1.51–1.58 Å. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one VO6 octahedra and corners with two MnO6 octahedra. The corner-sharing octahedra tilt angles range from 41–49°. There are a spread of P–O bond distances ranging from 1.51–1.59 Å. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one VO6 octahedra and a cornercorner with one MnO6 octahedra. The corner-sharing octahedra tilt angles range from 29–43°. There are a spread of P–O bond distances ranging from 1.54–1.58 Å. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three MnO6 octahedra. The corner-sharing octahedra tilt angles range from 32–44°. There are a spread of P–O bond distances ranging from 1.53–1.56 Å. There are forty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Mn+2.33+, and one P5+ atom. In the second O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, one V5+, and one P5+ atom. In the third O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one Mn+2.33+, and one P5+ atom. In the fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V5+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+2.33+ and one P5+ atom. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, one V5+, and one P5+ atom. In the seventh O2- site, O2- is bonded in a bent 150 degrees geometry to one V5+ and one P5+ atom. In the eighth O2- site, O2- is bonded to two Li1+, one Mn+2.33+, and one P5+ atom to form distorted OLi2MnP tetrahedra that share a cornercorner with one OLi2VP tetrahedra and an edgeedge with one OLi2MnP tetrahedra. In the ninth O2- site, O2- is bonded to two Li1+, one V5+, and one P5+ atom to form distorted OLi2VP tetrahedra that share a cornercorner with one OLi2MnP tetrahedra and an edgeedge with one OLi2VP tetrahedra. In the tenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn+2.33+, and one P5+ atom. In the eleventh O2- site, O2- is bonded in a distorted linear geometry to one V5+ and one P5+ atom. In the twelfth O2- site, O2- is bonded in a 3-coordinate geometry to two Li1+, one Mn+2.33+, and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one V5+, and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a 2-coordinate geometry to one Mn+2.33+ and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V5+, and one P5+ atom. In the sixteenth O2- site, O2- is bonded to two Li1+, one Mn+2.33+, and one P5+ atom to form distorted OLi2MnP tetrahedra that share a cornercorner with one OLi2VP tetrahedra and an edgeedge with one OLi2MnP tetrahedra. In the seventeenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Mn+2.33+ and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn+2.33+, and one P5+ atom. In the nineteenth O2- site, O2- is bonded to two Li1+, one V5+, and one P5+ atom to form distorted OLi2VP tetrahedra that share a cornercorner with one OLi2MnP tetrahedra and an edgeedge with one OLi2VP tetrahedra. In the twentieth O2- site, O2- is bonded in a bent 150 degrees geometry to one V5+ and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V5+, and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Mn+2.33+, and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.33+, and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V5+, and one P5+ atom. In the twenty-fifth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Mn+2.33+, and one P5+ atom. In the twenty-sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.33+, and one P5+ atom. In the twenty-seventh O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, one Mn+2.33+, and one P5+ atom. In the twenty-eighth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn+2.33+, and one P5+ atom. In the twenty-ninth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+2.33+ and one P5+ atom. In the thirtieth O2- site, O2- is bonded to two Li1+, one Mn+2.33+, and one P5+ atom to form a mixture of distorted edge and corner-sharing OLi2MnP tetrahedra. In the thirty-first O2- site, O2- is bonded in a 3-coordinate geometry to two Li1+, one Mn+2.33+, and one P5+ atom. In the thirty-second O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+2.33+ and one P5+ atom. In the thirty-third O2- site, O2- is bonded to two Li1+, one Mn+2.33+, and one P5+ atom to form a mixture of distorted edge and corner-sharing OLi2MnP tetrahedra. In the thirty-fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn+2.33+, and one P5+ atom. In the thirty-fifth O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, one Mn+2.33+, and one P5+ atom. In the thirty-sixth O2- site, O2- is bonded in a 3-coordinate geometry to two Li1+, one Mn+2.33+, and one P5+ atom. In the thirty-seventh O2- site, O2- is bonded in a 3-coordinate geometry to two Li1+, one Mn+2.33+, and one P5+ atom. In the thirty-eighth O2- site, O2- is bonded in a 2-coordinate geometry to one Mn+2.33+ and one P5+ atom. In the thirty-ninth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn+2.33+, and one P5+ atom. In the fortie

36 MATERIALS SCIENCE↗

Materials Data on Li6MnV3(PO4)6 by Materials Project

Li6V3Mn(PO4)6 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twelve inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.03–2.79 Å. In the second Li1+ site, Li1+ is bonded in a trigonal non-coplanar geometry to three O2- atoms. There are a spread of Li–O bond distances ranging from 1.90–1.99 Å. In the third Li1+ site, Li1+ is bonded in a 3-coordinate geometry to three O2- atoms. There are a spread of Li–O bond distances ranging from 1.93–2.01 Å. In the fourth Li1+ site, Li1+ is bonded in a distorted trigonal non-coplanar geometry to three O2- atoms. There are a spread of Li–O bond distances ranging from 1.92–2.06 Å. In the fifth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.93–2.52 Å. In the sixth Li1+ site, Li1+ is bonded in a 3-coordinate geometry to three O2- atoms. There are a spread of Li–O bond distances ranging from 1.92–1.98 Å. In the seventh Li1+ site, Li1+ is bonded in a trigonal non-coplanar geometry to three O2- atoms. There are a spread of Li–O bond distances ranging from 1.90–1.98 Å. In the eighth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.00–2.80 Å. In the ninth Li1+ site, Li1+ is bonded in a 3-coordinate geometry to three O2- atoms. There are a spread of Li–O bond distances ranging from 1.92–2.08 Å. In the tenth Li1+ site, Li1+ is bonded in a distorted see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.95–2.51 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 1.93–2.66 Å. In the twelfth Li1+ site, Li1+ is bonded in a distorted trigonal non-coplanar geometry to three O2- atoms. There is one shorter (1.92 Å) and two longer (2.01 Å) Li–O bond length. There are six inequivalent V+3.33+ sites. In the first V+3.33+ site, V+3.33+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one VO6 octahedra. There are a spread of V–O bond distances ranging from 1.95–2.14 Å. In the second V+3.33+ site, V+3.33+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra, an edgeedge with one MnO6 octahedra, and edges with two VO6 octahedra. There are a spread of V–O bond distances ranging from 2.01–2.04 Å. In the third V+3.33+ site, V+3.33+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one VO6 octahedra. There are a spread of V–O bond distances ranging from 1.97–2.15 Å. In the fourth V+3.33+ site, V+3.33+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one VO6 octahedra. There are a spread of V–O bond distances ranging from 1.95–2.10 Å. In the fifth V+3.33+ site, V+3.33+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one VO6 octahedra. There are a spread of V–O bond distances ranging from 1.97–2.13 Å. In the sixth V+3.33+ site, V+3.33+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra, an edgeedge with one MnO6 octahedra, and edges with two VO6 octahedra. There are a spread of V–O bond distances ranging from 1.99–2.05 Å. There are two inequivalent Mn2+ sites. In the first Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one VO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.91–2.21 Å. In the second Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one VO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.91–2.21 Å. There are twelve inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and corners with two MnO6 octahedra. The corner-sharing octahedra tilt angles range from 42–53°. There are a spread of P–O bond distances ranging from 1.53–1.58 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra and corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 42–55°. There are a spread of P–O bond distances ranging from 1.53–1.59 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and corners with two MnO6 octahedra. The corner-sharing octahedra tilt angles range from 44–54°. There are a spread of P–O bond distances ranging from 1.53–1.59 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra and corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 41–53°. There are a spread of P–O bond distances ranging from 1.54–1.60 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four VO6 octahedra. The corner-sharing octahedra tilt angles range from 43–55°. There are a spread of P–O bond distances ranging from 1.53–1.59 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra and corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 41–54°. There are a spread of P–O bond distances ranging from 1.53–1.57 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra and corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 42–59°. 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 a cornercorner with one MnO6 octahedra and corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 42–54°. There are a spread of P–O bond distances ranging from 1.52–1.61 Å. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four VO6 octahedra. The corner-sharing octahedra tilt angles range from 42–56°. There are a spread of P–O bond distances ranging from 1.53–1.60 Å. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra and corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 41–59°. There are a spread of P–O bond distances ranging from 1.53–1.61 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 and corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 41–57°. There are a spread of P–O bond distances ranging from 1.52–1.61 Å. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra and corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 41–58°. There are a spread of P–O bond distances ranging from 1.52–1.61 Å. There are forty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Mn2+ and one P5+ atom. In the second O2- site, O2- is bonded in a 3-coordinate geometry to three Li1+ and one P5+ atom. In the third O2- site, O2- is bonded in a distorted trigonal planar geometry to one V+3.33+, one Mn2+, and one P5+ atom. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to two V+3.33+ and one P5+ atom. In the fifth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Mn2+, and one P5+ atom. In the sixth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Mn2+ and one P5+ atom. In the seventh O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Li1+ and one P5+ atom. In the eighth O2- site, O2- is bonded in a 2-coordinate geometry to one Mn2+ and one P5+ atom. In the ninth O2- site, O2- is bonded in a 3-coordinate geometry to two V+3.33+ and one P5+ atom. In the tenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Mn2+, and one P5+ atom. In the eleventh O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one V+3.33+, and one P5+ atom. In the twelfth O2- site, O2- is bonded in a distorted tetrahedral geometry to three Li1+ and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a 3-coordinate geometry to two V+3.33+ and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a distorted tetrahedral geometry to three 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+3.33+, and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn2+, and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a 3-coordinate geometry to two V+3.33+ and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one V+3.33+, one Mn2+, and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a 2-coordinate geometry to one V+3.33+ and one P5+ atom. In the twentieth O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, one Mn2+, and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Li1+ and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a 3-coordinate geometry to three Li1+ and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one V+3.33+, and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one V+3.33+ and one P5+ atom. In the twenty-fifth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one V+3.33+ and one P5+ atom. In the twenty-sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+3.33+, and one P5+ atom. In the twenty-seventh O2- site, O2- is bonded in a 3-coordinate geometry to two Li1+ and one P5+ atom. In the twenty-eighth O2- site, O2- is bonded in a distorted T-shaped geometry to two Li1+ and one P5+ atom. In the twenty-ninth O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, one V+3.33+, and one P5+ atom. In the thirtieth O2- site, O2- is bonded in a 2-coordinate geometry to one V+3.33+ and one P5+ atom. In the thirty-first O2- site, O2- is bonded in a 3-coordinate geometry to two V+3.33+ and one P5+ atom. In the thirty-second O2- site, O2- is bonded in a 3-coordinate geometry to two V+3.33+ and one P5+ atom. In the thirty-third O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one V+3.33+, and one P5+ atom. In the thirty-fourth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one V+3.33+ and one P5+ atom. In the thirty-fifth O2- site, O2- is bonded in a 3-coordinate geometry to three Li1+ and one P5+ atom. In the thirty-sixth O2- site, O2- is bonded in a 3-coordinate geometry to two V+3.33+ and one P5+ atom. In the thirty-seventh O2- site, O2- is bonded in a 3-coordinate geometry to three Li1+ and one P5+ atom. In the thirty-eighth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one V+3.33+ and one P5+ atom. In the thirty-ninth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Mn2+, and one P5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li3MnV(PO4)3 by Materials Project

Li3VMn(PO4)3 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twelve inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one VO6 octahedra, a cornercorner with one MnO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one MnO6 octahedra. The corner-sharing octahedra tilt angles range from 61–74°. There are a spread of Li–O bond distances ranging from 1.98–2.02 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 1.96–2.05 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 1.99–2.10 Å. In the fourth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 2.01–2.10 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 1.92–2.07 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with two VO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one MnO6 octahedra. The corner-sharing octahedra tilt angles range from 62–73°. There are a spread of Li–O bond distances ranging from 1.99–2.04 Å. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one VO6 octahedra, a cornercorner with one MnO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one VO6 octahedra. The corner-sharing octahedra tilt angles range from 63–73°. There is three shorter (1.99 Å) and one longer (2.00 Å) Li–O bond length. 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 1.92–2.07 Å. In the ninth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 2.02–2.11 Å. In the tenth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 2.00–2.13 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 1.94–2.08 Å. In the twelfth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two MnO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one MnO6 octahedra. The corner-sharing octahedra tilt angles range from 61–75°. There are a spread of Li–O bond distances ranging from 1.97–2.03 Å. There are four inequivalent V4+ sites. In the first V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share 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 2.00–2.16 Å. In the second V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share a cornercorner with one LiO4 tetrahedra and corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.93–2.16 Å. In the third V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share a cornercorner with one LiO4 tetrahedra and corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.93–2.14 Å. In the fourth V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share a cornercorner with one LiO4 tetrahedra and corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.93–2.14 Å. There are four inequivalent Mn2+ sites. In the first Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share a cornercorner with one LiO4 tetrahedra, corners with six PO4 tetrahedra, and an edgeedge with one LiO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 1.94–2.15 Å. In the second Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 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 Mn–O bond distances ranging from 1.94–2.20 Å. In the third Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share a cornercorner with one LiO4 tetrahedra and corners with six PO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 1.90–2.20 Å. In the fourth Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 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 Mn–O bond distances ranging from 1.97–2.20 Å. There are twelve inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, corners with two MnO6 octahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 28–44°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, corners with two MnO6 octahedra, and a cornercorner with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 20–49°. There are a spread of P–O bond distances ranging from 1.53–1.57 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with three VO6 octahedra, and a cornercorner with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 40–46°. There are a spread of P–O bond distances ranging from 1.52–1.58 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with three VO6 octahedra, and a cornercorner with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 19–47°. There are a spread of P–O bond distances ranging from 1.53–1.58 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, corners with two MnO6 octahedra, and a cornercorner with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 41–46°. There are a spread of P–O bond distances ranging from 1.52–1.58 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, corners with two MnO6 octahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 29–45°. There are a spread of P–O bond distances ranging from 1.52–1.56 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, corners with two MnO6 octahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 28–44°. There are a spread of P–O bond distances ranging from 1.53–1.57 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one VO6 octahedra, corners with three MnO6 octahedra, and a cornercorner with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 41–47°. There are a spread of P–O bond distances ranging from 1.51–1.60 Å. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, corners with two MnO6 octahedra, and a cornercorner with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 21–48°. There are a spread of P–O bond distances ranging from 1.53–1.58 Å. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, corners with two MnO6 octahedra, and a cornercorner with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 41–47°. There are a spread of P–O bond distances ranging from 1.53–1.58 Å. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one VO6 octahedra, corners with three MnO6 octahedra, and a cornercorner with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 23–47°. There are a spread of P–O bond distances ranging from 1.53–1.58 Å. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, corners with two MnO6 octahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 28–44°. There are a spread of P–O bond distances ranging from 1.54–1.58 Å. There are forty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one V4+ and one P5+ atom. In the second O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V4+, and one P5+ atom. In the third O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn2+, and one P5+ atom. In the fourth O2- site, O2- is bonded in a distorted tetrahedral geometry to two Li1+, one V4+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn2+, and one P5+ atom. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V4+, and one P5+ atom. In the seventh O2- site, O2- is bonded in a bent 150 degrees geometry to one V4+ and one P5+ atom. In the eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one V4+, and one P5+ atom. In the ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V4+, and one P5+ atom. In the tenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V4+, and one P5+ atom. In the eleventh O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn2+, and one P5+ atom. In the twelfth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V4+, and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn2+, and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V4+, and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V4+, and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V4+, and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one V4+ and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one V4+, and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn2+, and one P5+ atom. In the twentieth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V4+, and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V4+, and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a tetrahedral geometry to two Li1+, one V4+, and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Mn2+ and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V4+, and one P5+ atom. In the twenty-fifth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn2+, and one P5+ atom. In the twenty-sixth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Mn2+ and one P5+ atom. In the twenty-seventh O2- site, O2- is bonded in a tetrahedral geometry to two Li1+, one V4+, and one P5+ atom. In the twenty-eighth O2- site, O2-

36 MATERIALS SCIENCE↗

Materials Data on Li6MnV3(PO4)6 by Materials Project

Li6V3Mn(PO4)6 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twelve inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Li–O bond distances ranging from 2.15–2.51 Å. In the second Li1+ site, Li1+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.89–2.35 Å. In the third Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 2.00–2.70 Å. In the fourth Li1+ site, Li1+ is bonded in a see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 2.06–2.20 Å. In the fifth 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 1.88–2.42 Å. In the sixth Li1+ site, Li1+ is bonded in a distorted trigonal non-coplanar geometry to three O2- atoms. There are a spread of Li–O bond distances ranging from 1.92–2.02 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Li–O bond distances ranging from 2.18–2.42 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 1.98–2.62 Å. In the ninth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 2.01–2.50 Å. In the tenth Li1+ site, Li1+ is bonded in a see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 2.05–2.25 Å. In the eleventh Li1+ site, Li1+ is bonded in a trigonal non-coplanar geometry to three O2- atoms. There are a spread of Li–O bond distances ranging from 1.90–1.99 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 2.00–2.54 Å. There are six inequivalent V+3.33+ sites. In the first V+3.33+ site, V+3.33+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one MnO6 octahedra. There are a spread of V–O bond distances ranging from 1.94–2.17 Å. In the second V+3.33+ site, V+3.33+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one MnO6 octahedra. There are a spread of V–O bond distances ranging from 1.93–2.17 Å. In the third V+3.33+ site, V+3.33+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one MnO6 octahedra. There are a spread of V–O bond distances ranging from 1.96–2.10 Å. In the fourth V+3.33+ site, V+3.33+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one VO6 octahedra. There are a spread of V–O bond distances ranging from 1.97–2.12 Å. In the fifth V+3.33+ site, V+3.33+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one VO6 octahedra. There are a spread of V–O bond distances ranging from 1.95–2.16 Å. In the sixth V+3.33+ site, V+3.33+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra, an edgeedge with one MnO6 octahedra, and edges with two VO6 octahedra. There are a spread of V–O bond distances ranging from 1.96–2.03 Å. There are two inequivalent Mn2+ sites. In the first Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra and edges with three VO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.94–2.12 Å. In the second Mn2+ site, Mn2+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one VO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.98–2.39 Å. There are twelve inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one MnO6 octahedra, and corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 39–56°. There are a spread of P–O bond distances ranging from 1.54–1.60 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, corners with two VO6 octahedra, and corners with two MnO6 octahedra. The corner-sharing octahedra tilt angles range from 38–57°. There are a spread of P–O bond distances ranging from 1.53–1.60 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, corners with two VO6 octahedra, and corners with two MnO6 octahedra. The corner-sharing octahedra tilt angles range from 41–55°. There are a spread of P–O bond distances ranging from 1.53–1.58 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one MnO6 octahedra, and corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 39–56°. There are a spread of P–O bond distances ranging from 1.53–1.61 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one MnO6 octahedra, and corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 38–56°. There are a spread of P–O bond distances ranging from 1.53–1.61 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra and corners with four VO6 octahedra. The corner-sharing octahedra tilt angles range from 38–55°. 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 a cornercorner with one LiO6 octahedra, a cornercorner with one MnO6 octahedra, and corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 37–55°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one MnO6 octahedra, and corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 39–55°. There are a spread of P–O bond distances ranging from 1.53–1.60 Å. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra and corners with four VO6 octahedra. The corner-sharing octahedra tilt angles range from 37–54°. There are a spread of P–O bond distances ranging from 1.52–1.60 Å. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one MnO6 octahedra, and corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 38–55°. 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 a cornercorner with one LiO6 octahedra, a cornercorner with one MnO6 octahedra, and corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 39–53°. There is two shorter (1.54 Å) and two longer (1.57 Å) P–O bond length. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one MnO6 octahedra, and corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 39–56°. There are a spread of P–O bond distances ranging from 1.53–1.61 Å. There are forty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, one Mn2+, and one P5+ atom. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn2+, and one P5+ atom. In the third O2- site, O2- is bonded in a 2-coordinate geometry to one Mn2+ and one P5+ atom. In the fourth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+3.33+ and one P5+ atom. In the fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Li1+ and one P5+ atom. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to one V+3.33+, one Mn2+, and one P5+ atom. In the seventh O2- site, O2- is bonded in a distorted trigonal pyramidal geometry to three Li1+ and one P5+ atom. In the eighth O2- site, O2- is bonded in a 3-coordinate geometry to one V+3.33+, one Mn2+, and one P5+ atom. In the ninth O2- site, O2- is bonded in a 3-coordinate geometry to one V+3.33+, one Mn2+, and one P5+ atom. In the tenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one V+3.33+ and one P5+ atom. In the eleventh O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+3.33+, and one P5+ atom. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to three Li1+ and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to three Li1+ and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+3.33+, and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one V+3.33+ and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a 3-coordinate geometry to one V+3.33+, one Mn2+, and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+3.33+, and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a 2-coordinate geometry to two Li1+ and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a 3-coordinate geometry to one V+3.33+, one Mn2+, and one P5+ atom. In the twentieth O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, one V+3.33+, and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+3.33+, and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a 4-coordinate geometry to three Li1+ and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a 3-coordinate geometry to one V+3.33+, one Mn2+, and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, one V+3.33+, and one P5+ atom. In the twenty-fifth O2- site, O2- is bonded in a 4-coordinate geometry to three Li1+ and one P5+ atom. In the twenty-sixth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+3.33+ and one P5+ atom. In the twenty-seventh O2- site, O2- is bonded in a bent 150 degrees geometry to one V+3.33+ and one P5+ atom. In the twenty-eighth O2- site, O2- is bonded in a 3-coordinate geometry to two V+3.33+ and one P5+ atom. In the twenty-ninth O2- site, O2- is bonded in a 3-coordinate geometry to two V+3.33+ and one P5+ atom. In the thirtieth O2- site, O2- is bonded to three Li1+ and one P5+ atom to form distorted edge-sharing OLi3P trigonal pyramids. In the thirty-first O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one V+3.33+, and one P5+ atom. In the thirty-second O2- site, O2- is bonded in a bent 150 degrees geometry to one V+3.33+ and one P5+ atom. In the thirty-third O2- site, O2- is bonded in a 3-coordinate geometry to two V+3.33+ and one P5+ atom. In the thirty-fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+3.33+, and one P5+ atom. In the thirty-fifth O2- site, O2- is bonded in a distorted trigona

36 MATERIALS SCIENCE↗

Materials Data on Li5V3P8O29 by Materials Project

Li5V3P8O29 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are ten inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.88–2.50 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with four PO4 tetrahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.88–2.42 Å. In the third Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 2.03–2.19 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with four PO4 tetrahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.94–2.16 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with four PO4 tetrahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.97–2.25 Å. In the sixth Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 2.00–2.73 Å. In the seventh Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.98–2.33 Å. In the eighth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with four PO4 tetrahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.95–2.25 Å. In the ninth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with four PO4 tetrahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.98–2.14 Å. In the tenth Li1+ site, Li1+ is bonded in a trigonal non-coplanar geometry to three O2- atoms. There are a spread of Li–O bond distances ranging from 1.86–2.01 Å. There are six inequivalent V+4.33+ sites. In the first V+4.33+ site, V+4.33+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.85–2.02 Å. In the second V+4.33+ site, V+4.33+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.86–2.06 Å. In the third V+4.33+ site, V+4.33+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.86–1.95 Å. In the fourth V+4.33+ site, V+4.33+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and edges with two LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.86–2.01 Å. In the fifth V+4.33+ site, V+4.33+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.83–1.95 Å. In the sixth V+4.33+ site, V+4.33+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and edges with two LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.85–2.03 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 and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 40–43°. There are a spread of P–O bond distances ranging from 1.48–1.63 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 41–46°. There are a spread of P–O bond distances ranging from 1.48–1.61 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 36–43°. There are a spread of P–O bond distances ranging from 1.50–1.63 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra and a cornercorner with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 32–37°. There are a spread of P–O bond distances ranging from 1.49–1.61 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 31–35°. There are a spread of P–O bond distances ranging from 1.49–1.60 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 43–44°. There are a spread of P–O bond distances ranging from 1.51–1.60 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, 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 1.48–1.64 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 36–41°. There are a spread of P–O bond distances ranging from 1.51–1.62 Å. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 39–45°. There are a spread of P–O bond distances ranging from 1.51–1.62 Å. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 43–47°. There are a spread of P–O bond distances ranging from 1.51–1.61 Å. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 40–43°. 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 a cornercorner with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 28–34°. There is one shorter (1.49 Å) and three longer (1.58 Å) P–O bond length. In the thirteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra and a cornercorner with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 32–38°. There are a spread of P–O bond distances ranging from 1.49–1.61 Å. In the fourteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 40–47°. There are a spread of P–O bond distances ranging from 1.50–1.60 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 three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 39–48°. There are a spread of P–O bond distances ranging from 1.50–1.61 Å. In the sixteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 39–46°. There are a spread of P–O bond distances ranging from 1.51–1.60 Å. There are fifty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a trigonal planar geometry to two Li1+ and one P5+ atom. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+4.33+, 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+4.33+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.33+ and one P5+ atom. In the sixth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.33+ and one P5+ atom. In the seventh O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.33+ and one P5+ atom. In the eighth O2- site, O2- is bonded in a trigonal planar geometry to two Li1+ and one P5+ atom. In the ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+4.33+, and one P5+ atom. In the tenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Li1+, one V+4.33+, and one P5+ atom. In the eleventh O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.33+ and one P5+ atom. In the twelfth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+4.33+, and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a single-bond geometry to one P5+ atom. In the fourteenth O2- site, O2- is bonded in a single-bond geometry to one P5+ atom. In the fifteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one V+4.33+, and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.33+ and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one V+4.33+, and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one V+4.33+ and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two P5+ atoms. In the twentieth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Li1+ and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a trigonal planar geometry to two Li1+ and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one V+4.33+ and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+4.33+, and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+4.33+, and one P5+ atom. In the twenty-fifth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one V+4.33+ and one P5+ atom. In the twenty-sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+4.33+, and one P5+ atom. In the twenty-seventh O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two P5+ atoms. In the twenty-eighth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Li1+ and one P5+ atom. In the twenty-ninth O2- site, O2- is bonded in a trigonal planar geometry to t

36 MATERIALS SCIENCE↗

Materials Data on Li3Sb3(PO4)4 by Materials Project

Li3Sb3(PO4)4 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are nine inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.95–2.02 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 1.93–2.13 Å. In the third Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.97–2.50 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one SbO6 octahedra and corners with four PO4 tetrahedra. The corner-sharing octahedral tilt angles are 77°. There are a spread of Li–O bond distances ranging from 1.92–1.99 Å. In the fifth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.93–2.13 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one SbO6 octahedra and corners with four PO4 tetrahedra. The corner-sharing octahedral tilt angles are 78°. There are a spread of Li–O bond distances ranging from 1.93–2.03 Å. In the seventh Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.98–2.30 Å. In the eighth Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.96–2.74 Å. In the ninth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one SbO6 octahedra and corners with four PO4 tetrahedra. The corner-sharing octahedral tilt angles are 67°. There are a spread of Li–O bond distances ranging from 1.93–1.99 Å. There are nine inequivalent Sb3+ sites. In the first Sb3+ site, Sb3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Sb–O bond distances ranging from 2.01–2.87 Å. In the second Sb3+ site, Sb3+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Sb–O bond distances ranging from 2.07–2.69 Å. In the third Sb3+ site, Sb3+ is bonded to six O2- atoms to form distorted SbO6 octahedra that share a cornercorner with one LiO4 tetrahedra and corners with six PO4 tetrahedra. There are a spread of Sb–O bond distances ranging from 2.14–2.79 Å. In the fourth Sb3+ site, Sb3+ is bonded to six O2- atoms to form distorted SbO6 octahedra that share a cornercorner with one LiO4 tetrahedra and corners with six PO4 tetrahedra. There are a spread of Sb–O bond distances ranging from 2.11–2.72 Å. In the fifth Sb3+ site, Sb3+ is bonded in a 3-coordinate geometry to three O2- atoms. There are a spread of Sb–O bond distances ranging from 2.01–2.14 Å. In the sixth Sb3+ site, Sb3+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Sb–O bond distances ranging from 2.04–2.38 Å. In the seventh Sb3+ site, Sb3+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Sb–O bond distances ranging from 2.06–2.30 Å. In the eighth Sb3+ site, Sb3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Sb–O bond distances ranging from 2.02–2.78 Å. In the ninth Sb3+ site, Sb3+ is bonded to six O2- atoms to form SbO6 octahedra that share a cornercorner with one LiO4 tetrahedra and corners with six PO4 tetrahedra. There are a spread of Sb–O bond distances ranging from 2.19–2.54 Å. There are twelve inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one SbO6 octahedra and a cornercorner with one LiO4 tetrahedra. The corner-sharing octahedral tilt angles are 34°. There are a spread of P–O bond distances ranging from 1.51–1.60 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one SbO6 octahedra and a cornercorner with one LiO4 tetrahedra. The corner-sharing octahedral tilt angles are 52°. There are a spread of P–O bond distances ranging from 1.51–1.59 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two SbO6 octahedra and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 34–56°. There are a spread of P–O bond distances ranging from 1.52–1.61 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one SbO6 octahedra and a cornercorner with one LiO4 tetrahedra. The corner-sharing octahedral tilt angles are 50°. There are a spread of P–O bond distances ranging from 1.51–1.60 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two SbO6 octahedra and a cornercorner with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 33–65°. There are a spread of P–O bond distances ranging from 1.52–1.61 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one SbO6 octahedra and a cornercorner with one LiO4 tetrahedra. The corner-sharing octahedral tilt angles are 47°. There are a spread of P–O bond distances ranging from 1.51–1.60 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two SbO6 octahedra and a cornercorner with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 28–68°. 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 SbO6 octahedra and a cornercorner with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 36–44°. There are a spread of P–O bond distances ranging from 1.51–1.59 Å. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two SbO6 octahedra and a cornercorner with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 36–49°. There are a spread of P–O bond distances ranging from 1.51–1.59 Å. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one SbO6 octahedra. The corner-sharing octahedral tilt angles are 31°. There are a spread of P–O bond distances ranging from 1.53–1.58 Å. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one SbO6 octahedra and a cornercorner with one LiO4 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 twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two SbO6 octahedra and a cornercorner with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 47–49°. There are a spread of P–O bond distances ranging from 1.51–1.59 Å. There are forty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Sb3+ and one P5+ atom. In the second O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Li1+, one Sb3+, and one P5+ atom. In the third O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Sb3+, and one P5+ atom. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Sb3+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Sb3+, and one P5+ atom. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to two Sb3+ and one P5+ atom. In the seventh O2- site, O2- is bonded in a 2-coordinate geometry to one Sb3+ and one P5+ atom. In the eighth O2- site, O2- is bonded in a distorted water-like geometry to two Sb3+ and one P5+ atom. In the ninth O2- site, O2- is bonded in a 2-coordinate geometry to one Sb3+ and one P5+ atom. In the tenth O2- site, O2- is bonded in a 1-coordinate geometry to two Sb3+ and one P5+ atom. In the eleventh O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Sb3+, and one P5+ atom. In the twelfth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Sb3+, and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Sb3+, and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Sb3+, and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Sb3+, and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a 2-coordinate geometry to two Sb3+ and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Li1+, one Sb3+, and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Li1+ and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Li1+, one Sb3+, and one P5+ atom. In the twentieth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Sb3+, and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Sb3+, and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a 3-coordinate geometry to two Li1+ and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a 1-coordinate geometry to one Li1+, one Sb3+, and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Sb3+, and one P5+ atom. In the twenty-fifth O2- site, O2- is bonded in a 1-coordinate geometry to one Sb3+ and one P5+ atom. In the twenty-sixth O2- site, O2- is bonded in a 2-coordinate geometry to one Sb3+ and one P5+ atom. In the twenty-seventh O2- site, O2- is bonded in a 2-coordinate geometry to one Sb3+ and one P5+ atom. In the twenty-eighth O2- site, O2- is bonded in a 2-coordinate geometry to one Sb3+ and one P5+ atom. In the twenty-ninth O2- site, O2- is bonded in a distorted T-shaped geometry to two Li1+ and one P5+ atom. In the thirtieth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Sb3+, and one P5+ atom. In the thirty-first O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Li1+, one Sb3+, and one P5+ atom. In the thirty-second O2- site, O2- is bonded in a distorted T-shaped geometry to two Li1+ and one P5+ atom. In the thirty-third O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, one Sb3+, and one P5+ atom. In the thirty-fourth O2- site, O2- is bonded in a 2-coordinate geometry to one Sb3+ and one P5+ atom. In the thirty-fifth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Sb3+ and one P5+ atom. In the thirty-sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Sb3+, and one P5+ atom. In the thirty-seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Sb3+, and one P5+ atom. In the thirty-eighth O2- site, O2- is bonded in a 1-coordinate geometry to one Sb3+ and one P5+ atom. In the thirty-ninth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Sb3+, and one P5+ atom. In the fortieth O2- site, O2- is bonded in a distorted T-shaped geometry to two Li1+ and one P5+ atom. In the forty-first O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Sb3+, and one P5+ atom. In the forty-second O2- site, O2- is bonded in a 2-coordinate geometry to two Sb3+ and one P5+ atom. In the forty-third O2- site, O2- is bonded in a distorted single-bond geometry to one Li1+, one Sb3+, and one P5+ atom. In the forty-fourth O2- site, O2- is bonded in a 1-coordinat

36 MATERIALS SCIENCE↗

Materials Data on Mg5Al34O56 by Materials Project

Mg5Al34O56 is beta indium sulfide-derived structured and crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are five inequivalent Mg sites. In the first Mg site, Mg is bonded to four O atoms to form MgO4 tetrahedra that share corners with eleven AlO6 octahedra. The corner-sharing octahedra tilt angles range from 52–71°. There are a spread of Mg–O bond distances ranging from 1.86–2.02 Å. In the second Mg site, Mg is bonded to four O atoms to form MgO4 tetrahedra that share corners with twelve AlO6 octahedra. The corner-sharing octahedra tilt angles range from 55–67°. There are a spread of Mg–O bond distances ranging from 1.87–1.98 Å. In the third Mg site, Mg is bonded to four O atoms to form MgO4 tetrahedra that share corners with twelve AlO6 octahedra. The corner-sharing octahedra tilt angles range from 56–61°. There are a spread of Mg–O bond distances ranging from 1.93–1.96 Å. In the fourth Mg site, Mg is bonded to four O atoms to form MgO4 tetrahedra that share corners with twelve AlO6 octahedra. The corner-sharing octahedra tilt angles range from 54–61°. There are a spread of Mg–O bond distances ranging from 1.92–2.01 Å. In the fifth Mg site, Mg is bonded to four O atoms to form MgO4 tetrahedra that share corners with twelve AlO6 octahedra. The corner-sharing octahedra tilt angles range from 50–64°. There are a spread of Mg–O bond distances ranging from 1.89–2.27 Å. There are twenty-seven inequivalent Al sites. In the first Al site, Al is bonded to four O atoms to form corner-sharing AlO4 trigonal pyramids. The corner-sharing octahedra tilt angles range from 59–68°. There are a spread of Al–O bond distances ranging from 1.72–2.12 Å. In the second Al site, Al is bonded to six O atoms to form AlO6 octahedra that share corners with four AlO4 tetrahedra, corners with two equivalent AlO4 trigonal pyramids, and edges with three AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.82–2.12 Å. In the third Al site, Al is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Al–O bond distances ranging from 1.72–2.35 Å. In the fourth Al site, Al is bonded to four O atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 48–62°. There are a spread of Al–O bond distances ranging from 1.78–1.86 Å. In the fifth Al site, Al is bonded to six O atoms to form AlO6 octahedra that share corners with six AlO4 tetrahedra and edges with four AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.89–2.03 Å. In the sixth Al site, Al is bonded to six O atoms to form AlO6 octahedra that share corners with six AlO4 tetrahedra and edges with four AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.87–2.14 Å. In the seventh Al site, Al is bonded to four O atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–58°. There are a spread of Al–O bond distances ranging from 1.78–1.85 Å. In the eighth Al site, Al is bonded to six O atoms to form AlO6 octahedra that share a cornercorner with one MgO4 tetrahedra, corners with five AlO4 tetrahedra, and edges with four AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.83–2.11 Å. In the ninth Al site, Al is bonded to six O atoms to form AlO6 octahedra that share corners with six AlO4 tetrahedra and edges with four AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.91–2.04 Å. In the tenth Al site, Al is bonded to four O atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–64°. There are a spread of Al–O bond distances ranging from 1.75–1.93 Å. In the eleventh Al site, Al is bonded to six O atoms to form AlO6 octahedra that share a cornercorner with one AlO4 tetrahedra, corners with five MgO4 tetrahedra, and edges with six AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.84–2.00 Å. In the twelfth Al site, Al is bonded to six O atoms to form AlO6 octahedra that share a cornercorner with one AlO4 tetrahedra, corners with five MgO4 tetrahedra, and edges with six AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.84–2.00 Å. In the thirteenth Al site, Al is bonded to six O atoms to form AlO6 octahedra that share corners with three equivalent MgO4 tetrahedra, corners with three equivalent AlO4 tetrahedra, and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.80–2.12 Å. In the fourteenth Al site, Al is bonded to four O atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 54–60°. There is three shorter (1.81 Å) and one longer (1.87 Å) Al–O bond length. In the fifteenth Al site, Al is bonded to six O atoms to form AlO6 octahedra that share corners with two equivalent AlO4 tetrahedra, corners with four MgO4 tetrahedra, and edges with six AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.86–2.07 Å. In the sixteenth Al site, Al is bonded to six O atoms to form AlO6 octahedra that share corners with two equivalent AlO4 tetrahedra, corners with four MgO4 tetrahedra, and edges with six AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.86–2.07 Å. In the seventeenth Al site, Al is bonded to six O atoms to form AlO6 octahedra that share corners with six MgO4 tetrahedra and edges with six AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.82–2.06 Å. In the eighteenth Al site, Al is bonded to four O atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 43–61°. There are a spread of Al–O bond distances ranging from 1.75–1.99 Å. In the nineteenth Al site, Al is bonded to six O atoms to form AlO6 octahedra that share corners with three MgO4 tetrahedra, corners with three AlO4 tetrahedra, and edges with six AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.90–1.99 Å. In the twentieth Al site, Al is bonded to six O atoms to form AlO6 octahedra that share corners with three equivalent MgO4 tetrahedra, corners with three equivalent AlO4 tetrahedra, and edges with six AlO6 octahedra. There is three shorter (1.93 Å) and three longer (1.94 Å) Al–O bond length. In the twenty-first Al site, Al is bonded to six O atoms to form AlO6 octahedra that share corners with three MgO4 tetrahedra, corners with three AlO4 tetrahedra, and edges with six AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.90–1.99 Å. In the twenty-second Al site, Al is bonded to six O atoms to form AlO6 octahedra that share corners with two equivalent MgO4 tetrahedra, corners with three AlO4 tetrahedra, a cornercorner with one AlO4 trigonal pyramid, and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.87–2.05 Å. In the twenty-third Al site, Al is bonded to six O atoms to form AlO6 octahedra that share corners with two equivalent MgO4 tetrahedra, corners with three AlO4 tetrahedra, a cornercorner with one AlO4 trigonal pyramid, and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.87–2.04 Å. In the twenty-fourth Al site, Al is bonded to six O atoms to form AlO6 octahedra that share corners with three equivalent MgO4 tetrahedra, corners with three equivalent AlO4 tetrahedra, and edges with six AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.84–2.02 Å. In the twenty-fifth Al site, Al is bonded to four O atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 54–59°. There are a spread of Al–O bond distances ranging from 1.83–1.90 Å. In the twenty-sixth Al site, Al is bonded to four O atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 55–61°. There are a spread of Al–O bond distances ranging from 1.80–1.89 Å. In the twenty-seventh Al site, Al is bonded to four O atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 51–57°. There are a spread of Al–O bond distances ranging from 1.69–1.96 Å. There are forty-two inequivalent O sites. In the first O site, O is bonded in a rectangular see-saw-like geometry to one Mg and three Al atoms. In the second O site, O is bonded to four Al atoms to form a mixture of distorted edge and corner-sharing OAl4 tetrahedra. In the third O site, O is bonded to four Al atoms to form a mixture of distorted edge and corner-sharing OAl4 trigonal pyramids. In the fourth O site, O is bonded in a rectangular see-saw-like geometry to four Al atoms. In the fifth O site, O is bonded in a 3-coordinate geometry to three Al atoms. In the sixth O site, O is bonded in a trigonal non-coplanar geometry to three Al atoms. In the seventh O site, O is bonded in a rectangular see-saw-like geometry to four Al atoms. In the eighth O site, O is bonded in a distorted trigonal planar geometry to three Al atoms. In the ninth O site, O is bonded in a distorted rectangular see-saw-like geometry to four Al atoms. In the tenth O site, O is bonded in a trigonal planar geometry to three Al atoms. In the eleventh O site, O is bonded in a distorted trigonal planar geometry to three Al atoms. In the twelfth O site, O is bonded in a distorted trigonal planar geometry to three Al atoms. In the thirteenth O site, O is bonded in a rectangular see-saw-like geometry to four Al atoms. In the fourteenth O site, O is bonded in a distorted trigonal planar geometry to three Al atoms. In the fifteenth O site, O is bonded in a rectangular see-saw-like geometry to four Al atoms. In the sixteenth O site, O is bonded in a distorted trigonal planar geometry to three Al atoms. In the seventeenth O site, O is bonded in a trigonal planar geometry to one Mg and two equivalent Al atoms. In the eighteenth O site, O is bonded in a trigonal planar geometry to three Al atoms. In the nineteenth O site, O is bonded in a rectangular see-saw-like geometry to four Al atoms. In the twentieth O site, O is bonded to one Mg and three Al atoms to form distorted OMgAl3 trigonal pyramids that share corners with two equivalent OAl4 tetrahedra, corners with two OMgAl3 trigonal pyramids, and edges with two OMgAl3 trigonal pyramids. In the twenty-first O site, O is bonded in a rectangular see-saw-like geometry to four Al atoms. In the twenty-second O site, O is bonded in a distorted rectangular see-saw-like geometry to one Mg and three Al atoms. In the twenty-third O site, O is bonded in a distorted trigonal planar geometry to three Al atoms. In the twenty-fourth O site, O is bonded in a trigonal planar geometry to three Al atoms. In the twenty-fifth O site, O is bonded to one Mg and three Al atoms to form distorted OMgAl3 trigonal pyramids that share corners with two equivalent OAl4 tetrahedra, corners with two equivalent OMgAl3 trigonal pyramids, and edges with two equivalent OMgAl3 trigonal pyramids. In the twenty-sixth O site, O is bonded in a distorted rectangular see-saw-like geometry to one Mg and three Al atoms. In the twenty-seventh O site, O is bonded in a rectangular see-saw-like geometry to one Mg and three Al atoms. In the twenty-eighth O site, O is bonded in a distorted rectangular see-saw-like geometry to one Mg and three Al atoms. In the twenty-ninth O site, O is bonded to four Al atoms to form distorted corner-sharing OAl4 tetrahedra. In the thirtieth O site, O is bonded in a rectangular see-saw-like geometry to one Mg and three Al atoms. In the thirty-first O site, O is bonded to one Mg and three Al atoms to form distorted corner-sharing OMgAl3 trigonal pyramids. In the thirty-second O site, O is bonded to one Mg and three Al atoms to form a mixture of distorted edge and corner-sharing OMgAl3 trigonal pyramids. In the thirty-third O site, O is bonded in a rectangular see-saw-like geometry to four Al atoms. In the thirty-fourth O site, O is bonded in a

36 MATERIALS SCIENCE↗

Materials Data on Li7Nb8O24 by Materials Project

Li7Nb8O24 is beta indium sulfide-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are fourteen inequivalent Li sites. In the first Li site, Li is bonded to six O atoms to form distorted LiO6 octahedra that share corners with three NbO6 octahedra, edges with three NbO6 octahedra, and a faceface with one NbO6 octahedra. The corner-sharing octahedra tilt angles range from 61–62°. There are a spread of Li–O bond distances ranging from 2.09–2.30 Å. In the second Li site, Li is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Li–O bond distances ranging from 2.10–2.33 Å. In the third Li site, Li is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Li–O bond distances ranging from 2.08–2.35 Å. In the fourth Li site, Li is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Li–O bond distances ranging from 2.10–2.33 Å. In the fifth Li site, Li is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Li–O bond distances ranging from 2.09–2.31 Å. In the sixth Li site, Li is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Li–O bond distances ranging from 2.11–2.30 Å. In the seventh Li site, Li is bonded to six O atoms to form distorted LiO6 pentagonal pyramids that share corners with three NbO6 octahedra, edges with three NbO6 octahedra, and a faceface with one NbO6 octahedra. The corner-sharing octahedra tilt angles range from 60–63°. There are a spread of Li–O bond distances ranging from 2.08–2.26 Å. In the eighth Li site, Li is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Li–O bond distances ranging from 2.10–2.32 Å. In the ninth Li site, Li is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Li–O bond distances ranging from 2.09–2.33 Å. In the tenth Li site, Li is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Li–O bond distances ranging from 2.07–2.35 Å. In the eleventh Li site, Li is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Li–O bond distances ranging from 2.07–2.29 Å. In the twelfth Li site, Li is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Li–O bond distances ranging from 2.10–2.29 Å. In the thirteenth Li site, Li is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Li–O bond distances ranging from 2.09–2.34 Å. In the fourteenth Li site, Li is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Li–O bond distances ranging from 2.12–2.32 Å. There are sixteen inequivalent Nb sites. In the first Nb site, Nb is bonded to six O atoms to form distorted corner-sharing NbO6 octahedra. The corner-sharing octahedra tilt angles range from 33–41°. There are a spread of Nb–O bond distances ranging from 1.89–2.18 Å. In the second Nb site, Nb is bonded to six O atoms to form NbO6 octahedra that share corners with six NbO6 octahedra, an edgeedge with one LiO6 octahedra, and an edgeedge with one LiO6 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 37–41°. There are a spread of Nb–O bond distances ranging from 1.90–2.16 Å. In the third Nb site, Nb is bonded to six O atoms to form distorted NbO6 octahedra that share corners with six NbO6 octahedra and a faceface with one LiO6 octahedra. The corner-sharing octahedra tilt angles range from 39–41°. There are a spread of Nb–O bond distances ranging from 1.90–2.18 Å. In the fourth Nb site, Nb is bonded to six O atoms to form NbO6 octahedra that share corners with six NbO6 octahedra and an edgeedge with one LiO6 octahedra. The corner-sharing octahedra tilt angles range from 34–40°. There are a spread of Nb–O bond distances ranging from 1.89–2.17 Å. In the fifth Nb site, Nb is bonded to six O atoms to form distorted NbO6 octahedra that share corners with six NbO6 octahedra and an edgeedge with one LiO6 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 32–41°. There are a spread of Nb–O bond distances ranging from 1.89–2.24 Å. In the sixth Nb site, Nb is bonded to six O atoms to form distorted NbO6 octahedra that share corners with six NbO6 octahedra and a cornercorner with one LiO6 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 32–42°. There are a spread of Nb–O bond distances ranging from 1.88–2.24 Å. In the seventh Nb site, Nb is bonded to six O atoms to form corner-sharing NbO6 octahedra. The corner-sharing octahedra tilt angles range from 32–42°. There are a spread of Nb–O bond distances ranging from 1.90–2.16 Å. In the eighth Nb site, Nb is bonded to six O atoms to form distorted NbO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with six NbO6 octahedra, and a cornercorner with one LiO6 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 33–62°. There are a spread of Nb–O bond distances ranging from 1.88–2.21 Å. In the ninth Nb site, Nb is bonded to six O atoms to form distorted corner-sharing NbO6 octahedra. The corner-sharing octahedra tilt angles range from 32–42°. There are a spread of Nb–O bond distances ranging from 1.88–2.23 Å. In the tenth Nb site, Nb is bonded to six O atoms to form NbO6 octahedra that share corners with six NbO6 octahedra and a cornercorner with one LiO6 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 34–42°. There are a spread of Nb–O bond distances ranging from 1.89–2.17 Å. In the eleventh Nb site, Nb is bonded to six O atoms to form distorted NbO6 octahedra that share corners with six NbO6 octahedra and an edgeedge with one LiO6 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 38–41°. There are a spread of Nb–O bond distances ranging from 1.90–2.18 Å. In the twelfth Nb site, Nb is bonded to six O atoms to form NbO6 octahedra that share corners with six NbO6 octahedra and a faceface with one LiO6 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 32–41°. There are a spread of Nb–O bond distances ranging from 1.90–2.16 Å. In the thirteenth Nb site, Nb is bonded to six O atoms to form distorted NbO6 octahedra that share a cornercorner with one LiO6 octahedra and corners with six NbO6 octahedra. The corner-sharing octahedra tilt angles range from 32–62°. There are a spread of Nb–O bond distances ranging from 1.90–2.19 Å. In the fourteenth Nb site, Nb is bonded to six O atoms to form distorted NbO6 octahedra that share corners with six NbO6 octahedra and an edgeedge with one LiO6 octahedra. The corner-sharing octahedra tilt angles range from 34–41°. There are a spread of Nb–O bond distances ranging from 1.89–2.24 Å. In the fifteenth Nb site, Nb is bonded to six O atoms to form corner-sharing NbO6 octahedra. The corner-sharing octahedra tilt angles range from 39–41°. There are a spread of Nb–O bond distances ranging from 1.90–2.15 Å. In the sixteenth Nb site, Nb is bonded to six O atoms to form distorted NbO6 octahedra that share a cornercorner with one LiO6 octahedra and corners with six NbO6 octahedra. The corner-sharing octahedra tilt angles range from 34–61°. There are a spread of Nb–O bond distances ranging from 1.89–2.23 Å. There are forty-eight inequivalent O sites. In the first O site, O is bonded in a distorted see-saw-like geometry to two Li and two Nb atoms. In the second O site, O is bonded in a distorted see-saw-like geometry to two Li and two Nb atoms. In the third O site, O is bonded in a distorted see-saw-like geometry to two Li and two Nb atoms. In the fourth O site, O is bonded in a T-shaped geometry to one Li and two Nb atoms. In the fifth O site, O is bonded in a distorted trigonal planar geometry to one Li and two Nb atoms. In the sixth O site, O is bonded in a distorted see-saw-like geometry to two Li and two Nb atoms. In the seventh O site, O is bonded in a distorted see-saw-like geometry to two Li and two Nb atoms. In the eighth O site, O is bonded in a distorted trigonal planar geometry to one Li and two Nb atoms. In the ninth O site, O is bonded in a distorted see-saw-like geometry to two Li and two Nb atoms. In the tenth O site, O is bonded in a distorted see-saw-like geometry to two Li and two Nb atoms. In the eleventh O site, O is bonded in a T-shaped geometry to one Li and two Nb atoms. In the twelfth O site, O is bonded in a distorted see-saw-like geometry to two Li and two Nb atoms. In the thirteenth O site, O is bonded in a distorted see-saw-like geometry to two Li and two Nb atoms. In the fourteenth O site, O is bonded in a distorted see-saw-like geometry to two Li and two Nb atoms. In the fifteenth O site, O is bonded in a distorted see-saw-like geometry to two Li and two Nb atoms. In the sixteenth O site, O is bonded in a distorted see-saw-like geometry to two Li and two Nb atoms. In the seventeenth O site, O is bonded in a distorted trigonal planar geometry to one Li and two Nb atoms. In the eighteenth O site, O is bonded in a distorted see-saw-like geometry to two Li and two Nb atoms. In the nineteenth O site, O is bonded in a distorted see-saw-like geometry to two Li and two Nb atoms. In the twentieth O site, O is bonded in a distorted see-saw-like geometry to two Li and two Nb atoms. In the twenty-first O site, O is bonded in a distorted see-saw-like geometry to two Li and two Nb atoms. In the twenty-second O site, O is bonded in a distorted see-saw-like geometry to two Li and two Nb atoms. In the twenty-third O site, O is bonded in a distorted see-saw-like geometry to two Li and two Nb atoms. In the twenty-fourth O site, O is bonded in a distorted see-saw-like geometry to two Li and two Nb atoms. In the twenty-fifth O site, O is bonded in a distorted see-saw-like geometry to two Li and two Nb atoms. In the twenty-sixth O site, O is bonded in a distorted see-saw-like geometry to two Li and two Nb atoms. In the twenty-seventh O site, O is bonded in a distorted see-saw-like geometry to two Li and two Nb atoms. In the twenty-eighth O site, O is bonded in a T-shaped geometry to one Li and two Nb atoms. In the twenty-ninth O site, O is bonded in a T-shaped geometry to one Li and two Nb atoms. In the thirtieth O site, O is bonded in a T-shaped geometry to one Li and two Nb atoms. In the thirty-first O site, O is bonded in a distorted see-saw-like geometry to two Li and two Nb atoms. In the thirty-second O site, O is bonded in a distorted trigonal planar geometry to one Li and two Nb atoms. In the thirty-third O site, O is bonded in a distorted see-saw-like geometry to two Li and two Nb atoms. In the thirty-fourth O site, O is bonded in a distorted see-saw-like geometry to two Li and two Nb atoms. In the thirty-fifth O site, O is bonded in a distorted trigonal planar geometry to one Li and two Nb atoms. In the thirty-sixth O site, O is bonded in a distorted trigonal planar geometry to one Li and two Nb atoms. In the thirty-seventh O site, O is bonded in a distorted see-saw-like geometry to two Li and two Nb atoms. In the thirty-eighth O site, O is bonded in a distorted see-saw-like geometry to two Li and two Nb atoms. In the thirty-ninth O site, O is bonded in a distorted see-saw-like geometry to two Li and two Nb atoms. In the fortieth O site, O is bonded in a distorted see-saw-like geometry to two Li and two Nb atoms. In the forty-first O site, O is bonded in a distorted see-saw-like geometry to two Li and two Nb atoms. In the forty-second O site, O is bonded in a distorted see-saw-like geometry to two Li and two Nb atoms. In the forty-third O site, O is bonded in a T-shaped geometry to one Li and two Nb atoms. In the forty-fourth O site, O is bonded in a distorted see-saw-like geometry to two Li and two Nb atoms. In the forty-fifth O site, O is bonded in a distorted see-saw-like geometry to two Li and two Nb atoms. In the forty-sixth O site, O is bonded in a distorted see-saw-like geometry to two Li and two Nb atoms. In the forty-seventh O site, O is b

36 MATERIALS SCIENCE↗

Materials Data on Ce14Y18O55 by Materials Project

Ce14Y18O55 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are fourteen inequivalent Ce sites. In the first Ce site, Ce is bonded to seven O atoms to form distorted CeO7 pentagonal bipyramids that share a cornercorner with one CeO6 octahedra, a cornercorner with one YO6 octahedra, a cornercorner with one YO7 pentagonal bipyramid, an edgeedge with one YO7 hexagonal pyramid, edges with two YO6 octahedra, and edges with two YO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 49–52°. There are a spread of Ce–O bond distances ranging from 2.22–2.48 Å. In the second Ce site, Ce is bonded in a body-centered cubic geometry to eight O atoms. There are a spread of Ce–O bond distances ranging from 2.30–2.48 Å. In the third Ce site, Ce is bonded to seven O atoms to form distorted CeO7 pentagonal bipyramids that share corners with two YO6 octahedra, a cornercorner with one YO7 pentagonal bipyramid, edges with two YO7 hexagonal pyramids, an edgeedge with one YO6 octahedra, an edgeedge with one CeO7 pentagonal bipyramid, and an edgeedge with one YO7 pentagonal bipyramid. The corner-sharing octahedra tilt angles range from 53–56°. There are a spread of Ce–O bond distances ranging from 2.24–2.44 Å. In the fourth Ce site, Ce is bonded in a 7-coordinate geometry to seven O atoms. There are a spread of Ce–O bond distances ranging from 2.25–2.41 Å. In the fifth Ce site, Ce is bonded to seven O atoms to form distorted CeO7 pentagonal bipyramids that share a cornercorner with one YO7 hexagonal pyramid, a cornercorner with one YO6 octahedra, an edgeedge with one YO7 hexagonal pyramid, an edgeedge with one CeO6 octahedra, an edgeedge with one YO6 octahedra, an edgeedge with one CeO7 pentagonal bipyramid, and edges with two YO7 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 54°. There are a spread of Ce–O bond distances ranging from 2.27–2.47 Å. In the sixth Ce site, Ce is bonded in a body-centered cubic geometry to eight O atoms. There are a spread of Ce–O bond distances ranging from 2.22–2.59 Å. In the seventh Ce site, Ce is bonded in a 7-coordinate geometry to seven O atoms. There are a spread of Ce–O bond distances ranging from 2.25–2.42 Å. In the eighth Ce site, Ce is bonded in a body-centered cubic geometry to eight O atoms. There are a spread of Ce–O bond distances ranging from 2.28–2.49 Å. In the ninth Ce site, Ce is bonded to six O atoms to form distorted CeO6 octahedra that share a cornercorner with one YO7 hexagonal pyramid, corners with three YO6 octahedra, a cornercorner with one YO7 pentagonal bipyramid, an edgeedge with one YO7 hexagonal pyramid, an edgeedge with one YO7 pentagonal bipyramid, and edges with two CeO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 56–59°. There are a spread of Ce–O bond distances ranging from 2.20–2.37 Å. In the tenth Ce site, Ce is bonded in a body-centered cubic geometry to eight O atoms. There are a spread of Ce–O bond distances ranging from 2.26–2.70 Å. In the eleventh Ce site, Ce is bonded in a 7-coordinate geometry to seven O atoms. There are a spread of Ce–O bond distances ranging from 2.25–2.45 Å. In the twelfth Ce site, Ce is bonded in a body-centered cubic geometry to eight O atoms. There are a spread of Ce–O bond distances ranging from 2.30–2.46 Å. In the thirteenth Ce site, Ce is bonded to seven O atoms to form distorted CeO7 pentagonal bipyramids that share a cornercorner with one YO6 octahedra, a cornercorner with one YO7 pentagonal bipyramid, an edgeedge with one YO7 hexagonal pyramid, an edgeedge with one CeO6 octahedra, edges with two YO6 octahedra, and edges with three YO7 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 48°. There are a spread of Ce–O bond distances ranging from 2.23–2.40 Å. In the fourteenth Ce site, Ce is bonded to six O atoms to form distorted CeO6 octahedra that share corners with three YO6 octahedra, a cornercorner with one CeO7 pentagonal bipyramid, a cornercorner with one YO7 pentagonal bipyramid, an edgeedge with one YO7 hexagonal pyramid, and an edgeedge with one YO6 octahedra. The corner-sharing octahedra tilt angles range from 58–61°. There are a spread of Ce–O bond distances ranging from 2.22–2.35 Å. There are eighteen inequivalent Y sites. In the first Y site, Y is bonded to six O atoms to form distorted YO6 octahedra that share a cornercorner with one YO7 hexagonal pyramid, a cornercorner with one CeO6 octahedra, a cornercorner with one YO6 octahedra, a cornercorner with one CeO7 pentagonal bipyramid, an edgeedge with one YO6 octahedra, an edgeedge with one CeO7 pentagonal bipyramid, and an edgeedge with one YO7 pentagonal bipyramid. The corner-sharing octahedra tilt angles range from 57–61°. There are a spread of Y–O bond distances ranging from 2.22–2.41 Å. In the second Y site, Y is bonded in a 7-coordinate geometry to seven O atoms. There are a spread of Y–O bond distances ranging from 2.27–2.52 Å. In the third Y site, Y is bonded to seven O atoms to form distorted YO7 pentagonal bipyramids that share a cornercorner with one YO7 hexagonal pyramid, a cornercorner with one CeO6 octahedra, a cornercorner with one YO6 octahedra, edges with two YO7 hexagonal pyramids, an edgeedge with one YO6 octahedra, an edgeedge with one CeO7 pentagonal bipyramid, and an edgeedge with one YO7 pentagonal bipyramid. The corner-sharing octahedra tilt angles range from 47–54°. There are a spread of Y–O bond distances ranging from 2.27–2.58 Å. In the fourth Y site, Y is bonded to seven O atoms to form distorted YO7 pentagonal bipyramids that share corners with two YO6 octahedra, a cornercorner with one CeO7 pentagonal bipyramid, edges with two YO7 hexagonal pyramids, an edgeedge with one CeO6 octahedra, edges with two CeO7 pentagonal bipyramids, and edges with two YO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 54–55°. There are a spread of Y–O bond distances ranging from 2.25–2.45 Å. In the fifth Y site, Y is bonded to six O atoms to form YO6 octahedra that share a cornercorner with one YO7 hexagonal pyramid, a cornercorner with one CeO6 octahedra, corners with two YO6 octahedra, an edgeedge with one YO6 octahedra, edges with two CeO7 pentagonal bipyramids, and edges with two YO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 59–60°. There are a spread of Y–O bond distances ranging from 2.22–2.34 Å. In the sixth Y site, Y is bonded to seven O atoms to form distorted YO7 hexagonal pyramids that share corners with two YO6 octahedra, edges with two YO6 octahedra, an edgeedge with one CeO7 pentagonal bipyramid, and edges with three YO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 50–58°. There are a spread of Y–O bond distances ranging from 2.28–2.45 Å. In the seventh Y site, Y is bonded to six O atoms to form distorted YO6 octahedra that share a cornercorner with one YO7 hexagonal pyramid, a cornercorner with one CeO6 octahedra, corners with two YO6 octahedra, a cornercorner with one YO7 pentagonal bipyramid, and edges with two YO7 hexagonal pyramids. The corner-sharing octahedra tilt angles range from 56–61°. There are a spread of Y–O bond distances ranging from 2.23–2.34 Å. In the eighth Y site, Y is bonded to seven O atoms to form distorted YO7 hexagonal pyramids that share a cornercorner with one YO6 octahedra, a cornercorner with one CeO7 pentagonal bipyramid, an edgeedge with one YO7 hexagonal pyramid, an edgeedge with one CeO6 octahedra, an edgeedge with one YO6 octahedra, an edgeedge with one CeO7 pentagonal bipyramid, and edges with two YO7 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 53°. There are a spread of Y–O bond distances ranging from 2.27–2.44 Å. In the ninth Y site, Y is bonded to six O atoms to form distorted YO6 octahedra that share a cornercorner with one YO7 hexagonal pyramid, a cornercorner with one CeO6 octahedra, a cornercorner with one YO6 octahedra, a cornercorner with one CeO7 pentagonal bipyramid, corners with two YO7 pentagonal bipyramids, and an edgeedge with one YO6 octahedra. The corner-sharing octahedra tilt angles range from 56–58°. There are a spread of Y–O bond distances ranging from 2.26–2.35 Å. In the tenth Y site, Y is bonded to seven O atoms to form distorted YO7 hexagonal pyramids that share corners with two YO6 octahedra, a cornercorner with one YO7 pentagonal bipyramid, an edgeedge with one CeO6 octahedra, an edgeedge with one YO6 octahedra, and an edgeedge with one CeO7 pentagonal bipyramid. The corner-sharing octahedra tilt angles range from 56–59°. There are a spread of Y–O bond distances ranging from 2.25–2.42 Å. In the eleventh Y site, Y is bonded to seven O atoms to form distorted YO7 hexagonal pyramids that share a cornercorner with one CeO6 octahedra, a cornercorner with one YO6 octahedra, a cornercorner with one YO7 pentagonal bipyramid, an edgeedge with one YO7 hexagonal pyramid, an edgeedge with one YO6 octahedra, and edges with two CeO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 54–57°. There are a spread of Y–O bond distances ranging from 2.27–2.55 Å. In the twelfth Y site, Y is bonded to six O atoms to form distorted YO6 octahedra that share a cornercorner with one CeO6 octahedra, corners with two YO6 octahedra, a cornercorner with one CeO7 pentagonal bipyramid, a cornercorner with one YO7 pentagonal bipyramid, an edgeedge with one YO7 hexagonal pyramid, an edgeedge with one YO6 octahedra, and edges with two YO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 54–61°. There are a spread of Y–O bond distances ranging from 2.26–2.36 Å. In the thirteenth Y site, Y is bonded to six O atoms to form distorted YO6 octahedra that share a cornercorner with one YO7 hexagonal pyramid, a cornercorner with one YO6 octahedra, a cornercorner with one CeO7 pentagonal bipyramid, a cornercorner with one YO7 pentagonal bipyramid, an edgeedge with one YO7 hexagonal pyramid, an edgeedge with one CeO6 octahedra, an edgeedge with one YO6 octahedra, an edgeedge with one CeO7 pentagonal bipyramid, and edges with two YO7 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 59°. There are a spread of Y–O bond distances ranging from 2.24–2.37 Å. In the fourteenth Y site, Y is bonded to six O atoms to form distorted YO6 octahedra that share a cornercorner with one YO7 hexagonal pyramid, a cornercorner with one CeO6 octahedra, a cornercorner with one YO6 octahedra, a cornercorner with one CeO7 pentagonal bipyramid, corners with two YO7 pentagonal bipyramids, an edgeedge with one YO7 hexagonal pyramid, an edgeedge with one YO6 octahedra, an edgeedge with one YO7 pentagonal bipyramid, and edges with two CeO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Y–O bond distances ranging from 2.24–2.32 Å. In the fifteenth Y site, Y is bonded to seven O atoms to form distorted YO7 pentagonal bipyramids that share a cornercorner with one YO6 octahedra, a cornercorner with one CeO7 pentagonal bipyramid, edges with three YO6 octahedra, edges with two CeO7 pentagonal bipyramids, and edges with two YO7 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 53°. There are a spread of Y–O bond distances ranging from 2.28–2.45 Å. In the sixteenth Y site, Y is bonded to seven O atoms to form distorted YO7 pentagonal bipyramids that share a cornercorner with one CeO6 octahedra, a cornercorner with one YO6 octahedra, a cornercorner with one CeO7 pentagonal bipyramid, an edgeedge with one YO7 hexagonal pyramid, edges with two YO6 octahedra, an edgeedge with one CeO7 pentagonal bipyramid, and edges with two YO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 53–55°. There are a spread of Y–O bond distances ra

36 MATERIALS SCIENCE↗

Materials Data on Na26In4O19 by Materials Project

Na26In4O19 crystallizes in the monoclinic Cc space group. The structure is three-dimensional. there are twenty-six inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded to four O2- atoms to form NaO4 tetrahedra that share corners with three InO4 tetrahedra, corners with nine NaO4 tetrahedra, and edges with five NaO4 tetrahedra. There are a spread of Na–O bond distances ranging from 2.31–2.49 Å. In the second Na1+ site, Na1+ is bonded to four O2- atoms to form distorted NaO4 tetrahedra that share a cornercorner with one InO4 tetrahedra, corners with ten NaO4 tetrahedra, an edgeedge with one InO4 tetrahedra, and edges with four NaO4 tetrahedra. There are a spread of Na–O bond distances ranging from 2.35–2.61 Å. In the third Na1+ site, Na1+ is bonded to four O2- atoms to form distorted NaO4 tetrahedra that share a cornercorner with one InO4 tetrahedra, corners with ten NaO4 tetrahedra, an edgeedge with one InO4 tetrahedra, and edges with four NaO4 tetrahedra. There are a spread of Na–O bond distances ranging from 2.36–2.52 Å. In the fourth Na1+ site, Na1+ is bonded to four O2- atoms to form distorted NaO4 tetrahedra that share a cornercorner with one InO4 tetrahedra, corners with ten NaO4 tetrahedra, an edgeedge with one InO4 tetrahedra, and edges with three NaO4 tetrahedra. There are a spread of Na–O bond distances ranging from 2.41–2.55 Å. In the fifth Na1+ site, Na1+ is bonded to four O2- atoms to form distorted NaO4 tetrahedra that share a cornercorner with one InO4 tetrahedra, corners with ten NaO4 tetrahedra, an edgeedge with one InO4 tetrahedra, edges with three NaO4 tetrahedra, and an edgeedge with one NaO4 trigonal pyramid. There are a spread of Na–O bond distances ranging from 2.34–2.59 Å. In the sixth Na1+ site, Na1+ is bonded to four O2- atoms to form NaO4 tetrahedra that share corners with four InO4 tetrahedra, corners with six NaO4 tetrahedra, edges with two NaO4 tetrahedra, and an edgeedge with one NaO4 trigonal pyramid. There are a spread of Na–O bond distances ranging from 2.22–2.30 Å. In the seventh Na1+ site, Na1+ is bonded to four O2- atoms to form NaO4 tetrahedra that share corners with three InO4 tetrahedra, corners with seven NaO4 tetrahedra, and edges with five NaO4 tetrahedra. There are a spread of Na–O bond distances ranging from 2.31–2.44 Å. In the eighth Na1+ site, Na1+ is bonded to four O2- atoms to form NaO4 tetrahedra that share corners with three InO4 tetrahedra, corners with ten NaO4 tetrahedra, and edges with five NaO4 tetrahedra. There are a spread of Na–O bond distances ranging from 2.32–2.45 Å. In the ninth Na1+ site, Na1+ is bonded to four O2- atoms to form NaO4 tetrahedra that share corners with three InO4 tetrahedra, corners with seven NaO4 tetrahedra, corners with two equivalent NaO4 trigonal pyramids, and edges with four NaO4 tetrahedra. There are a spread of Na–O bond distances ranging from 2.32–2.42 Å. In the tenth Na1+ site, Na1+ is bonded to four O2- atoms to form distorted NaO4 trigonal pyramids that share corners with three InO4 tetrahedra, corners with nine NaO4 tetrahedra, and edges with three NaO4 tetrahedra. There are a spread of Na–O bond distances ranging from 2.36–2.70 Å. In the eleventh Na1+ site, Na1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Na–O bond distances ranging from 2.31–2.67 Å. In the twelfth Na1+ site, Na1+ is bonded to four O2- atoms to form distorted NaO4 tetrahedra that share corners with three InO4 tetrahedra, corners with seven NaO4 tetrahedra, a cornercorner with one NaO4 trigonal pyramid, and edges with four NaO4 tetrahedra. There are a spread of Na–O bond distances ranging from 2.33–2.52 Å. In the thirteenth Na1+ site, Na1+ is bonded to four O2- atoms to form distorted NaO4 tetrahedra that share a cornercorner with one InO4 tetrahedra, corners with eight NaO4 tetrahedra, a cornercorner with one NaO4 trigonal pyramid, an edgeedge with one InO4 tetrahedra, edges with three NaO4 tetrahedra, and an edgeedge with one NaO4 trigonal pyramid. There are a spread of Na–O bond distances ranging from 2.35–2.59 Å. In the fourteenth Na1+ site, Na1+ is bonded to four O2- atoms to form distorted NaO4 tetrahedra that share a cornercorner with one InO4 tetrahedra, corners with ten NaO4 tetrahedra, a cornercorner with one NaO4 trigonal pyramid, an edgeedge with one InO4 tetrahedra, and edges with three NaO4 tetrahedra. There are a spread of Na–O bond distances ranging from 2.36–2.65 Å. In the fifteenth Na1+ site, Na1+ is bonded to four O2- atoms to form NaO4 tetrahedra that share corners with four InO4 tetrahedra, corners with eight NaO4 tetrahedra, and edges with four NaO4 tetrahedra. There are a spread of Na–O bond distances ranging from 2.27–2.32 Å. In the sixteenth Na1+ site, Na1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Na–O bond distances ranging from 2.39–2.82 Å. In the seventeenth Na1+ site, Na1+ is bonded to four O2- atoms to form NaO4 tetrahedra that share corners with three InO4 tetrahedra, corners with seven NaO4 tetrahedra, corners with two equivalent NaO4 trigonal pyramids, and edges with three NaO4 tetrahedra. There are a spread of Na–O bond distances ranging from 2.32–2.50 Å. In the eighteenth Na1+ site, Na1+ is bonded to four O2- atoms to form distorted NaO4 tetrahedra that share corners with three InO4 tetrahedra, corners with nine NaO4 tetrahedra, a cornercorner with one NaO4 trigonal pyramid, and edges with four NaO4 tetrahedra. There are a spread of Na–O bond distances ranging from 2.31–2.49 Å. In the nineteenth Na1+ site, Na1+ is bonded to four O2- atoms to form distorted NaO4 tetrahedra that share a cornercorner with one InO4 tetrahedra, corners with twelve NaO4 tetrahedra, an edgeedge with one InO4 tetrahedra, and edges with three NaO4 tetrahedra. There are a spread of Na–O bond distances ranging from 2.33–2.62 Å. In the twentieth Na1+ site, Na1+ is bonded to four O2- atoms to form distorted NaO4 tetrahedra that share a cornercorner with one InO4 tetrahedra, corners with nine NaO4 tetrahedra, a cornercorner with one NaO4 trigonal pyramid, an edgeedge with one InO4 tetrahedra, and edges with four NaO4 tetrahedra. There are a spread of Na–O bond distances ranging from 2.28–2.59 Å. In the twenty-first Na1+ site, Na1+ is bonded to four O2- atoms to form NaO4 tetrahedra that share corners with four InO4 tetrahedra, corners with six NaO4 tetrahedra, and edges with four NaO4 tetrahedra. There are a spread of Na–O bond distances ranging from 2.26–2.33 Å. In the twenty-second Na1+ site, Na1+ is bonded to four O2- atoms to form distorted NaO4 tetrahedra that share a cornercorner with one InO4 tetrahedra, corners with eleven NaO4 tetrahedra, an edgeedge with one InO4 tetrahedra, and edges with four NaO4 tetrahedra. There are a spread of Na–O bond distances ranging from 2.39–2.66 Å. In the twenty-third Na1+ site, Na1+ is bonded to four O2- atoms to form NaO4 tetrahedra that share corners with three InO4 tetrahedra, corners with ten NaO4 tetrahedra, and edges with five NaO4 tetrahedra. There are a spread of Na–O bond distances ranging from 2.31–2.46 Å. In the twenty-fourth Na1+ site, Na1+ is bonded to four O2- atoms to form NaO4 tetrahedra that share corners with three InO4 tetrahedra, corners with nine NaO4 tetrahedra, and edges with five NaO4 tetrahedra. There are a spread of Na–O bond distances ranging from 2.31–2.47 Å. In the twenty-fifth Na1+ site, Na1+ is bonded to four O2- atoms to form NaO4 tetrahedra that share corners with three InO4 tetrahedra, corners with seven NaO4 tetrahedra, and edges with five NaO4 tetrahedra. There are a spread of Na–O bond distances ranging from 2.25–2.46 Å. In the twenty-sixth Na1+ site, Na1+ is bonded to four O2- atoms to form distorted NaO4 tetrahedra that share a cornercorner with one InO4 tetrahedra, corners with twelve NaO4 tetrahedra, an edgeedge with one InO4 tetrahedra, and edges with four NaO4 tetrahedra. There are a spread of Na–O bond distances ranging from 2.33–2.61 Å. There are four inequivalent In3+ sites. In the first In3+ site, In3+ is bonded to four O2- atoms to form InO4 tetrahedra that share corners with fourteen NaO4 tetrahedra, a cornercorner with one NaO4 trigonal pyramid, and edges with three NaO4 tetrahedra. There are a spread of In–O bond distances ranging from 2.09–2.13 Å. In the second In3+ site, In3+ is bonded to four O2- atoms to form InO4 tetrahedra that share corners with eleven NaO4 tetrahedra, a cornercorner with one NaO4 trigonal pyramid, and edges with three NaO4 tetrahedra. There are a spread of In–O bond distances ranging from 2.08–2.13 Å. In the third In3+ site, In3+ is bonded to four O2- atoms to form InO4 tetrahedra that share corners with fourteen NaO4 tetrahedra, a cornercorner with one NaO4 trigonal pyramid, and edges with two NaO4 tetrahedra. There are a spread of In–O bond distances ranging from 2.10–2.13 Å. In the fourth In3+ site, In3+ is bonded to four O2- atoms to form InO4 tetrahedra that share corners with thirteen NaO4 tetrahedra and edges with two NaO4 tetrahedra. There are a spread of In–O bond distances ranging from 2.07–2.12 Å. There are nineteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a 6-coordinate geometry to five Na1+ and one In3+ atom. In the second O2- site, O2- is bonded in a distorted pentagonal bipyramidal geometry to seven Na1+ atoms. In the third O2- site, O2- is bonded in a 6-coordinate geometry to five Na1+ and one In3+ atom. In the fourth O2- site, O2- is bonded in a 7-coordinate geometry to six Na1+ and one In3+ atom. In the fifth O2- site, O2- is bonded in a 6-coordinate geometry to five Na1+ and one In3+ atom. In the sixth O2- site, O2- is bonded in a 6-coordinate geometry to five Na1+ and one In3+ atom. In the seventh O2- site, O2- is bonded in a 6-coordinate geometry to five Na1+ and one In3+ atom. In the eighth O2- site, O2- is bonded in a 5-coordinate geometry to four Na1+ and one In3+ atom. In the ninth O2- site, O2- is bonded in a 6-coordinate geometry to five Na1+ and one In3+ atom. In the tenth O2- site, O2- is bonded in a body-centered cubic geometry to eight Na1+ atoms. In the eleventh O2- site, O2- is bonded in a 6-coordinate geometry to five Na1+ and one In3+ atom. In the twelfth O2- site, O2- is bonded in a 7-coordinate geometry to six Na1+ and one In3+ atom. In the thirteenth O2- site, O2- is bonded in a 6-coordinate geometry to five Na1+ and one In3+ atom. In the fourteenth O2- site, O2- is bonded in a 6-coordinate geometry to five Na1+ and one In3+ atom. In the fifteenth O2- site, O2- is bonded in a distorted body-centered cubic geometry to eight Na1+ atoms. In the sixteenth O2- site, O2- is bonded in a 7-coordinate geometry to six Na1+ and one In3+ atom. In the seventeenth O2- site, O2- is bonded in a 6-coordinate geometry to five Na1+ and one In3+ atom. In the eighteenth O2- site, O2- is bonded in a 6-coordinate geometry to five Na1+ and one In3+ atom. In the nineteenth O2- site, O2- is bonded in a 6-coordinate geometry to five Na1+ and one In3+ atom.

36 MATERIALS SCIENCE↗

Materials Data on CaTeO3 by Materials Project

CaTeO3 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eighteen inequivalent Ca2+ sites. In the first Ca2+ site, Ca2+ is bonded to seven O2- atoms to form distorted edge-sharing CaO7 pentagonal bipyramids. There are a spread of Ca–O bond distances ranging from 2.34–2.73 Å. In the second Ca2+ site, Ca2+ is bonded to seven O2- atoms to form distorted edge-sharing CaO7 pentagonal bipyramids. There are a spread of Ca–O bond distances ranging from 2.34–2.63 Å. In the third Ca2+ site, Ca2+ is bonded to seven O2- atoms to form a mixture of distorted edge and corner-sharing CaO7 pentagonal bipyramids. There are a spread of Ca–O bond distances ranging from 2.34–2.71 Å. In the fourth Ca2+ site, Ca2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Ca–O bond distances ranging from 2.37–3.05 Å. In the fifth Ca2+ site, Ca2+ is bonded to six O2- atoms to form edge-sharing CaO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.31–2.65 Å. In the sixth Ca2+ site, Ca2+ is bonded to seven O2- atoms to form distorted CaO7 hexagonal pyramids that share a cornercorner with one CaO7 pentagonal bipyramid, an edgeedge with one CaO6 octahedra, and an edgeedge with one CaO7 pentagonal bipyramid. There are a spread of Ca–O bond distances ranging from 2.42–2.53 Å. In the seventh Ca2+ site, Ca2+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ca–O bond distances ranging from 2.27–2.59 Å. In the eighth Ca2+ site, Ca2+ is bonded to seven O2- atoms to form distorted CaO7 pentagonal bipyramids that share an edgeedge with one CaO6 octahedra and edges with two CaO7 pentagonal bipyramids. There are a spread of Ca–O bond distances ranging from 2.35–2.64 Å. In the ninth Ca2+ site, Ca2+ is bonded to seven O2- atoms to form distorted edge-sharing CaO7 pentagonal bipyramids. There are a spread of Ca–O bond distances ranging from 2.34–2.66 Å. In the tenth Ca2+ site, Ca2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Ca–O bond distances ranging from 2.38–2.69 Å. In the eleventh Ca2+ site, Ca2+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Ca–O bond distances ranging from 2.33–2.69 Å. In the twelfth Ca2+ site, Ca2+ is bonded in a 8-coordinate geometry to seven O2- atoms. There are a spread of Ca–O bond distances ranging from 2.42–2.72 Å. In the thirteenth Ca2+ site, Ca2+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Ca–O bond distances ranging from 2.36–2.86 Å. In the fourteenth Ca2+ site, Ca2+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ca–O bond distances ranging from 2.34–2.49 Å. In the fifteenth Ca2+ site, Ca2+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Ca–O bond distances ranging from 2.27–2.71 Å. In the sixteenth Ca2+ site, Ca2+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Ca–O bond distances ranging from 2.31–2.89 Å. In the seventeenth Ca2+ site, Ca2+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ca–O bond distances ranging from 2.32–2.62 Å. In the eighteenth Ca2+ site, Ca2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Ca–O bond distances ranging from 2.39–2.80 Å. There are eighteen inequivalent Te4+ sites. In the first Te4+ site, Te4+ is bonded in a 3-coordinate geometry to three O2- atoms. All Te–O bond lengths are 1.89 Å. In the second Te4+ site, Te4+ is bonded in a 3-coordinate geometry to three O2- atoms. There is one shorter (1.90 Å) and two longer (1.91 Å) Te–O bond length. In the third Te4+ site, Te4+ is bonded in a 3-coordinate geometry to four O2- atoms. There are a spread of Te–O bond distances ranging from 1.90–2.57 Å. In the fourth Te4+ site, Te4+ is bonded in a distorted T-shaped geometry to three O2- atoms. There is two shorter (1.89 Å) and one longer (1.90 Å) Te–O bond length. In the fifth Te4+ site, Te4+ is bonded in a distorted trigonal non-coplanar geometry to three O2- atoms. There are a spread of Te–O bond distances ranging from 1.87–1.90 Å. In the sixth Te4+ site, Te4+ is bonded in a trigonal non-coplanar geometry to three O2- atoms. There are a spread of Te–O bond distances ranging from 1.87–1.90 Å. In the seventh Te4+ site, Te4+ is bonded in a 5-coordinate geometry to four O2- atoms. There are a spread of Te–O bond distances ranging from 1.90–2.54 Å. In the eighth Te4+ site, Te4+ is bonded in a 3-coordinate geometry to three O2- atoms. There is two shorter (1.89 Å) and one longer (1.90 Å) Te–O bond length. In the ninth Te4+ site, Te4+ is bonded in a 3-coordinate geometry to four O2- atoms. There are a spread of Te–O bond distances ranging from 1.89–2.77 Å. In the tenth Te4+ site, Te4+ is bonded in a 3-coordinate geometry to three O2- atoms. There are a spread of Te–O bond distances ranging from 1.87–1.91 Å. In the eleventh Te4+ site, Te4+ is bonded in a trigonal non-coplanar geometry to three O2- atoms. There is two shorter (1.88 Å) and one longer (1.89 Å) Te–O bond length. In the twelfth Te4+ site, Te4+ is bonded in a distorted trigonal non-coplanar geometry to three O2- atoms. There are a spread of Te–O bond distances ranging from 1.87–1.90 Å. In the thirteenth Te4+ site, Te4+ is bonded in a trigonal non-coplanar geometry to three O2- atoms. There are a spread of Te–O bond distances ranging from 1.87–1.89 Å. In the fourteenth Te4+ site, Te4+ is bonded in a trigonal non-coplanar geometry to three O2- atoms. There is one shorter (1.88 Å) and two longer (1.89 Å) Te–O bond length. In the fifteenth Te4+ site, Te4+ is bonded in a distorted T-shaped geometry to three O2- atoms. There are a spread of Te–O bond distances ranging from 1.88–1.92 Å. In the sixteenth Te4+ site, Te4+ is bonded in a 3-coordinate geometry to three O2- atoms. There are a spread of Te–O bond distances ranging from 1.89–1.91 Å. In the seventeenth Te4+ site, Te4+ is bonded in a 3-coordinate geometry to three O2- atoms. There are a spread of Te–O bond distances ranging from 1.88–1.90 Å. In the eighteenth Te4+ site, Te4+ is bonded in a 3-coordinate geometry to four O2- atoms. There are a spread of Te–O bond distances ranging from 1.89–2.80 Å. There are fifty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to two Ca2+ and one Te4+ atom. In the second O2- site, O2- is bonded in a 2-coordinate geometry to one Ca2+ and one Te4+ atom. In the third O2- site, O2- is bonded in a 3-coordinate geometry to two Ca2+ and one Te4+ atom. In the fourth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Ca2+ and one Te4+ atom. In the fifth O2- site, O2- is bonded in a 4-coordinate geometry to two Ca2+ and two Te4+ atoms. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to three Ca2+ and one Te4+ atom. In the seventh O2- site, O2- is bonded to three Ca2+ and one Te4+ atom to form a mixture of distorted edge and corner-sharing OCa3Te tetrahedra. In the eighth O2- site, O2- is bonded in a 2-coordinate geometry to three Ca2+ and one Te4+ atom. In the ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Ca2+ and one Te4+ atom. In the tenth O2- site, O2- is bonded to three Ca2+ and one Te4+ atom to form a mixture of distorted edge and corner-sharing OCa3Te tetrahedra. In the eleventh O2- site, O2- is bonded to three Ca2+ and one Te4+ atom to form a mixture of distorted edge and corner-sharing OCa3Te tetrahedra. In the twelfth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Ca2+ and one Te4+ atom. In the thirteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Ca2+ and one Te4+ atom. In the fourteenth O2- site, O2- is bonded to three Ca2+ and one Te4+ atom to form a mixture of distorted edge and corner-sharing OCa3Te tetrahedra. In the fifteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Ca2+ and one Te4+ atom. In the sixteenth O2- site, O2- is bonded to three Ca2+ and one Te4+ atom to form a mixture of distorted edge and corner-sharing OCa3Te tetrahedra. In the seventeenth O2- site, O2- is bonded in a 3-coordinate geometry to two Ca2+ and one Te4+ atom. In the eighteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Ca2+ and one Te4+ atom. In the nineteenth O2- site, O2- is bonded to three Ca2+ and one Te4+ atom to form a mixture of distorted edge and corner-sharing OCa3Te tetrahedra. In the twentieth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Ca2+ and one Te4+ atom. In the twenty-first O2- site, O2- is bonded in a distorted trigonal planar geometry to two Ca2+ and one Te4+ atom. In the twenty-second O2- site, O2- is bonded in a trigonal planar geometry to two Ca2+ and one Te4+ atom. In the twenty-third O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Ca2+ and one Te4+ atom. In the twenty-fourth O2- site, O2- is bonded in a 3-coordinate geometry to two Ca2+ and one Te4+ atom. In the twenty-fifth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Ca2+ and one Te4+ atom. In the twenty-sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Ca2+ and one Te4+ atom. In the twenty-seventh O2- site, O2- is bonded in a 4-coordinate geometry to two Ca2+ and one Te4+ atom. In the twenty-eighth O2- site, O2- is bonded in a 2-coordinate geometry to two Ca2+ and one Te4+ atom. In the twenty-ninth O2- site, O2- is bonded in a 4-coordinate geometry to two Ca2+ and two Te4+ atoms. In the thirtieth O2- site, O2- is bonded in a 3-coordinate geometry to three Ca2+ and one Te4+ atom. In the thirty-first O2- site, O2- is bonded to three Ca2+ and one Te4+ atom to form a mixture of distorted edge and corner-sharing OCa3Te tetrahedra. In the thirty-second O2- site, O2- is bonded in a distorted trigonal planar geometry to two Ca2+ and one Te4+ atom. In the thirty-third O2- site, O2- is bonded in a distorted trigonal planar geometry to two Ca2+ and one Te4+ atom. In the thirty-fourth O2- site, O2- is bonded to three Ca2+ and one Te4+ atom to form a mixture of distorted edge and corner-sharing OCa3Te tetrahedra. In the thirty-fifth O2- site, O2- is bonded in a 4-coordinate geometry to two Ca2+ and one Te4+ atom. In the thirty-sixth O2- site, O2- is bonded in a 3-coordinate geometry to three Ca2+ and one Te4+ atom. In the thirty-seventh O2- site, O2- is bonded in a 3-coordinate geometry to two Ca2+ and one Te4+ atom. In the thirty-eighth O2- site, O2- is bonded in a 3-coordinate geometry to two Ca2+ and one Te4+ atom. In the thirty-ninth O2- site, O2- is bonded in a 4-coordinate geometry to three Ca2+ and one Te4+ atom. In the fortieth O2- site, O2- is bonded in a 3-coordinate geometry to three Ca2+ and one Te4+ atom. In the forty-first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Ca2+ and two Te4+ atoms. In the forty-second O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Ca2+ and one Te4+ atom. In the forty-third O2- site, O2- is bonded to three Ca2+ and one Te4+ atom to form a mixture of distorted edge and corner-sharing OCa3Te trigonal pyramids. In the forty-fourth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Ca2+ and one Te4+ atom. In the forty-fifth O2- site, O2- is bonded in a 4-coordinate geometry to three Ca2+ and one Te4+ atom. In the forty-sixth O2- site, O2- is bonded to three Ca2+ and one Te4+ atom to form a mixture of distorted edge and corner-sharing OCa3Te trigonal pyramids. In the forty-seventh O2- site, O2- is bonded to three Ca2+ and one Te4+ atom to form a mixture of distorted edge and corner-sharing OCa3Te trigonal pyramids. In the forty-eighth O2- site, O2- is bonded to three Ca2+ and one Te4+ atom to form a mixture of distorted edge and corner-sharing OCa3Te tetrahedra. In the forty-ninth O2- site, O2- i

36 MATERIALS SCIENCE↗