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Materials Data on MnFeCo(PO4)3 by Materials Project

MnFeCo(PO4)3 crystallizes in the monoclinic Pm space group. The structure is three-dimensional. 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 two equivalent FeO6 octahedra, corners with two equivalent MnO6 pentagonal pyramids, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedral tilt angles are 53°. There are a spread of Mn–O bond distances ranging from 1.90–2.39 Å. In the second Mn2+ site, Mn2+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with two equivalent MnO6 pentagonal pyramids, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedral tilt angles are 51°. There are a spread of Mn–O bond distances ranging from 1.90–2.32 Å. In the third Mn2+ site, Mn2+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with two equivalent FeO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 48–51°. There are a spread of Mn–O bond distances ranging from 1.90–2.33 Å. In the fourth Mn2+ site, Mn2+ is bonded to six O2- atoms to form distorted MnO6 pentagonal pyramids that share corners with four MnO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 51–52°. There are a spread of Mn–O bond distances ranging from 1.91–2.36 Å. There are four inequivalent Fe3+ sites. In the first Fe3+ site, Fe3+ is bonded to six O2- atoms to form distorted FeO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with two equivalent FeO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 48–50°. There are a spread of Fe–O bond distances ranging from 1.91–2.18 Å. In the second Fe3+ site, Fe3+ is bonded to six O2- atoms to form distorted FeO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with two equivalent FeO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 50–53°. There are a spread of Fe–O bond distances ranging from 1.93–2.23 Å. In the third Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with four CoO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 48–49°. There are a spread of Fe–O bond distances ranging from 1.94–2.14 Å. In the fourth Fe3+ site, Fe3+ is bonded to six O2- atoms to form distorted FeO6 octahedra that share corners with four CoO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 47–49°. There are a spread of Fe–O bond distances ranging from 1.93–2.13 Å. There are four inequivalent Co4+ sites. In the first Co4+ site, Co4+ is bonded to six O2- atoms to form distorted CoO6 octahedra that share corners with four CoO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 47–48°. There are a spread of Co–O bond distances ranging from 1.87–2.15 Å. In the second Co4+ site, Co4+ is bonded to six O2- atoms to form distorted CoO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with two equivalent CoO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 48–49°. There are a spread of Co–O bond distances ranging from 1.86–2.19 Å. In the third Co4+ site, Co4+ is bonded to six O2- atoms to form distorted CoO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with two equivalent CoO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedral tilt angles are 47°. There are a spread of Co–O bond distances ranging from 1.89–2.14 Å. In the fourth Co4+ site, Co4+ is bonded to six O2- atoms to form distorted CoO6 octahedra that share corners with four FeO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 48–49°. There are a spread of Co–O bond distances ranging from 1.86–2.17 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, a cornercorner with one CoO6 octahedra, corners with two equivalent FeO6 octahedra, and an edgeedge with one FeO6 octahedra. The corner-sharing octahedra tilt angles range from 34–55°. There is two shorter (1.54 Å) and two longer (1.57 Å) P–O bond length. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one FeO6 octahedra, a cornercorner with one CoO6 octahedra, corners with two equivalent MnO6 octahedra, and an edgeedge with one MnO6 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 38–53°. There are a spread of P–O bond distances ranging from 1.53–1.56 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one CoO6 octahedra, corners with two equivalent MnO6 octahedra, a cornercorner with one MnO6 pentagonal pyramid, and an edgeedge with one MnO6 octahedra. The corner-sharing octahedra tilt angles range from 36–54°. There are a spread of P–O bond distances ranging from 1.54–1.56 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one FeO6 octahedra, corners with three MnO6 octahedra, and an edgeedge with one FeO6 octahedra. The corner-sharing octahedra tilt angles range from 38–55°. There are a spread of P–O bond distances ranging from 1.52–1.58 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, a cornercorner with one FeO6 octahedra, corners with two equivalent MnO6 pentagonal pyramids, and an edgeedge with one MnO6 octahedra. The corner-sharing octahedra tilt angles range from 38–49°. 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 CoO6 octahedra, corners with three FeO6 octahedra, and an edgeedge with one MnO6 octahedra. The corner-sharing octahedra tilt angles range from 37–53°. 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 FeO6 octahedra, corners with three CoO6 octahedra, and an edgeedge with one CoO6 octahedra. The corner-sharing octahedra tilt angles range from 40–58°. 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 CoO6 octahedra, corners with two equivalent FeO6 octahedra, a cornercorner with one MnO6 pentagonal pyramid, and an edgeedge with one CoO6 octahedra. The corner-sharing octahedra tilt angles range from 42–55°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one CoO6 octahedra, corners with two equivalent FeO6 octahedra, and an edgeedge with one CoO6 octahedra. The corner-sharing octahedra tilt angles range from 44–55°. 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 FeO6 octahedra, corners with three CoO6 octahedra, and an edgeedge with one FeO6 octahedra. The corner-sharing octahedra tilt angles range from 38–58°. There are a spread of P–O bond distances ranging from 1.53–1.57 Å. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one FeO6 octahedra, corners with two equivalent CoO6 octahedra, and an edgeedge with one CoO6 octahedra. The corner-sharing octahedra tilt angles range from 43–57°. There are a spread of P–O bond distances ranging from 1.53–1.57 Å. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one FeO6 octahedra, corners with two equivalent CoO6 octahedra, and an edgeedge with one FeO6 octahedra. The corner-sharing octahedra tilt angles range from 43–57°. There are a spread of P–O bond distances ranging from 1.53–1.57 Å. There are thirty-six inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Mn2+ and one P5+ atom. In the second O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Mn2+ and one P5+ atom. In the third O2- site, O2- is bonded in a bent 150 degrees geometry to one Fe3+ and one P5+ atom. In the fourth O2- site, O2- is bonded in a bent 120 degrees geometry to one Mn2+ and one P5+ atom. In the fifth O2- site, O2- is bonded in a bent 120 degrees geometry to one Mn2+ and one P5+ atom. In the sixth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Fe3+ and one P5+ atom. In the seventh O2- site, O2- is bonded in a 3-coordinate geometry to two Mn2+ and one P5+ atom. In the eighth O2- site, O2- is bonded in a 3-coordinate geometry to two Mn2+ and one P5+ atom. In the ninth O2- site, O2- is bonded in a 3-coordinate geometry to two Fe3+ and one P5+ atom. In the tenth O2- site, O2- is bonded in a 3-coordinate geometry to one Mn2+, one Fe3+, and one P5+ atom. In the eleventh O2- site, O2- is bonded in a 3-coordinate geometry to one Mn2+, one Fe3+, and one P5+ atom. In the twelfth O2- site, O2- is bonded in a 3-coordinate geometry to two Mn2+ and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Fe3+ and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a bent 120 degrees geometry to one Mn2+ and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Mn2+ and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Fe3+ and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Mn2+ and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Mn2+ and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Co4+ and one P5+ atom. In the twentieth O2- site, O2- is bonded in a bent 150 degrees geometry to one Fe3+ and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a bent 150 degrees geometry to one Fe3+ and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Co4+ and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a bent 150 degrees geometry to one Co4+ and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Co4+ and one P5+ atom. In the twenty-fifth O2- site, O2- is bonded in a 3-coordinate geometry to two Co4+ and one P5+ atom. In the twenty-sixth O2- site, O2- is bonded in a 3-coordinate geometry to one Fe3+, one Co4+, and one P5+ atom. In the twenty-seventh O2- site, O2- is bonded in a 3-coordinate geometry to

36 MATERIALS SCIENCE↗

Materials Data on Li7V3P8O29 by Materials Project

Li7V3P8O29 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are fourteen inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four PO4 tetrahedra and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.98–2.15 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three VO6 octahedra and corners with four PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 64–70°. There are a spread of Li–O bond distances ranging from 1.89–2.25 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three VO6 octahedra and corners with four PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 62–69°. There are a spread of Li–O bond distances ranging from 1.89–2.28 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four PO4 tetrahedra and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.96–2.20 Å. In the fifth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.98–2.19 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 1.93–2.60 Å. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four PO4 tetrahedra and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.95–2.17 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 1.97–2.10 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 1.95–2.74 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 1.98–2.05 Å. In the eleventh Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.98–2.49 Å. In the twelfth 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 1.98–2.27 Å. In the thirteenth Li1+ site, Li1+ is bonded in a distorted T-shaped geometry to three O2- atoms. There are a spread of Li–O bond distances ranging from 1.91–2.07 Å. In the fourteenth Li1+ site, Li1+ is bonded in a distorted T-shaped geometry to three O2- atoms. There are a spread of Li–O bond distances ranging from 1.91–2.04 Å. There are six inequivalent V+3.67+ sites. In the first V+3.67+ site, V+3.67+ is bonded to six O2- atoms to form VO6 octahedra that share a cornercorner with one LiO4 tetrahedra, corners with six PO4 tetrahedra, and an edgeedge with one LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.90–2.04 Å. In the second V+3.67+ site, V+3.67+ is bonded to six O2- atoms to form VO6 octahedra that share a cornercorner with one LiO4 tetrahedra, corners with six PO4 tetrahedra, and an edgeedge with one LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.87–2.04 Å. In the third V+3.67+ site, V+3.67+ is bonded to six O2- atoms to form VO6 octahedra that share a cornercorner with one LiO4 tetrahedra and corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.88–2.04 Å. In the fourth V+3.67+ site, V+3.67+ is bonded to six O2- atoms to form VO6 octahedra that share a cornercorner with one LiO4 tetrahedra and corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.86–2.07 Å. In the fifth V+3.67+ site, V+3.67+ is bonded to six O2- atoms to form VO6 octahedra that share a cornercorner with one LiO4 tetrahedra and corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.97–2.09 Å. In the sixth V+3.67+ site, V+3.67+ is bonded to six O2- atoms to form VO6 octahedra that share a cornercorner with one LiO4 tetrahedra, corners with six PO4 tetrahedra, and an edgeedge with one LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.99–2.10 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 48–51°. There are a spread of P–O bond distances ranging from 1.51–1.61 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 45–52°. There are a spread of P–O bond distances ranging from 1.50–1.61 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 48–50°. There are a spread of P–O bond distances ranging from 1.52–1.62 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 two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 34–38°. 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 31–38°. There are a spread of P–O bond distances ranging from 1.50–1.59 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 47–51°. There are a spread of P–O bond distances ranging from 1.51–1.61 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 40–41°. There are a spread of P–O bond distances ranging from 1.52–1.62 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 47–49°. There are a spread of P–O bond distances ranging from 1.51–1.61 Å. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 39–41°. There are a spread of P–O bond distances ranging from 1.51–1.61 Å. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 47–52°. 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 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 1.51–1.63 Å. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 29–37°. There are a spread of P–O bond distances ranging from 1.49–1.60 Å. In the thirteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 28–36°. 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 40–43°. There are a spread of P–O bond distances ranging from 1.51–1.62 Å. In the fifteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share 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 1.51–1.63 Å. In the sixteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one 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 1.52–1.63 Å. There are fifty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal planar geometry to two Li1+ and one P5+ atom. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+3.67+, and one P5+ atom. In the third O2- site, O2- is bonded in a distorted trigonal planar geometry to two Li1+ and one P5+ atom. In the fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+3.67+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+3.67+, and one P5+ atom. In the sixth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+3.67+ and one P5+ atom. In the seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+3.67+, and one P5+ atom. In the eighth O2- site, O2- is bonded in a trigonal planar geometry to two Li1+ and one P5+ atom. In the ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+3.67+, and one P5+ atom. In the tenth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+3.67+ and one P5+ atom. In the eleventh O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+3.67+, and one P5+ atom. In the twelfth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+3.67+, and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Li1+ and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a linear geometry to one Li1+ and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+3.67+, and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+3.67+, and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one V+3.67+, and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+3.67+, and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two P5+ atoms. In the twentieth O2- site, O2- is bonded in a distorted tetrahedral geometry to three Li1+ and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a trigonal planar geometry to two Li1+ and one P5+ atom. In t

36 MATERIALS SCIENCE↗

Materials Data on MnFeCo(PO4)3 by Materials Project

MnFeCo(PO4)3 crystallizes in the monoclinic Pm space group. The structure is three-dimensional. 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 four FeO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedral tilt angles are 49°. There are a spread of Mn–O bond distances ranging from 1.90–2.30 Å. In the second Mn2+ site, Mn2+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with two equivalent FeO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 50–51°. There are a spread of Mn–O bond distances ranging from 1.92–2.36 Å. In the third Mn2+ site, Mn2+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with two equivalent FeO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 48–50°. There are a spread of Mn–O bond distances ranging from 1.91–2.27 Å. In the fourth Mn2+ site, Mn2+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with two equivalent CoO6 octahedra, corners with two equivalent CoO6 pentagonal pyramids, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedral tilt angles are 48°. There are a spread of Mn–O bond distances ranging from 1.90–2.38 Å. There are four inequivalent Fe3+ sites. In the first Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with two equivalent FeO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 48–49°. There are a spread of Fe–O bond distances ranging from 1.92–2.15 Å. In the second Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with four MnO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 49–51°. There are a spread of Fe–O bond distances ranging from 1.95–2.16 Å. In the third Fe3+ site, Fe3+ is bonded to six O2- atoms to form distorted FeO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with two equivalent FeO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedral tilt angles are 49°. There are a spread of Fe–O bond distances ranging from 1.95–2.19 Å. In the fourth Fe3+ site, Fe3+ is bonded to six O2- atoms to form distorted FeO6 octahedra that share corners with four CoO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 48–50°. There are a spread of Fe–O bond distances ranging from 1.92–2.22 Å. There are four inequivalent Co4+ sites. In the first Co4+ site, Co4+ is bonded to six O2- atoms to form distorted CoO6 octahedra that share corners with two equivalent CoO6 octahedra, corners with two equivalent CoO6 pentagonal pyramids, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedral tilt angles are 49°. There are a spread of Co–O bond distances ranging from 1.93–2.25 Å. In the second Co4+ site, Co4+ is bonded to six O2- atoms to form distorted CoO6 pentagonal pyramids that share corners with two equivalent MnO6 octahedra, corners with two equivalent CoO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 50–51°. There are a spread of Co–O bond distances ranging from 1.93–2.29 Å. In the third Co4+ site, Co4+ is bonded to six O2- atoms to form distorted CoO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with two equivalent CoO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 48–49°. There are a spread of Co–O bond distances ranging from 1.94–2.21 Å. In the fourth Co4+ site, Co4+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with two equivalent FeO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 48–50°. There are a spread of Co–O bond distances ranging from 1.93–2.18 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 FeO6 octahedra, corners with two equivalent MnO6 octahedra, a cornercorner with one CoO6 pentagonal pyramid, and an edgeedge with one MnO6 octahedra. The corner-sharing octahedra tilt angles range from 46–53°. 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 MnO6 octahedra, a cornercorner with one CoO6 octahedra, corners with two equivalent FeO6 octahedra, and an edgeedge with one FeO6 octahedra. The corner-sharing octahedra tilt angles range from 43–55°. There are a spread of P–O bond distances ranging from 1.53–1.57 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one FeO6 octahedra, a cornercorner with one CoO6 octahedra, corners with two equivalent MnO6 octahedra, and an edgeedge with one FeO6 octahedra. The corner-sharing octahedra tilt angles range from 45–55°. 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 corners with four FeO6 octahedra and an edgeedge with one MnO6 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 fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two MnO6 octahedra, corners with two equivalent FeO6 octahedra, and an edgeedge with one MnO6 octahedra. The corner-sharing octahedra tilt angles range from 43–53°. There is two shorter (1.55 Å) and two longer (1.56 Å) P–O bond length. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one CoO6 octahedra, corners with three MnO6 octahedra, and an edgeedge with one FeO6 octahedra. The corner-sharing octahedra tilt angles range from 44–55°. 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 FeO6 octahedra, corners with two equivalent MnO6 octahedra, a cornercorner with one CoO6 pentagonal pyramid, and an edgeedge with one CoO6 octahedra. The corner-sharing octahedra tilt angles range from 43–55°. There is two shorter (1.53 Å) and two longer (1.58 Å) P–O bond length. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one CoO6 octahedra, corners with three FeO6 octahedra, and an edgeedge with one CoO6 octahedra. The corner-sharing octahedra tilt angles range from 43–55°. There are a spread of P–O bond distances ranging from 1.53–1.58 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 three CoO6 octahedra, and an edgeedge with one CoO6 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 46–53°. 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 MnO6 octahedra, corners with two equivalent CoO6 octahedra, and an edgeedge with one FeO6 octahedra. The corner-sharing octahedra tilt angles range from 44–53°. 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 corners with two FeO6 octahedra, corners with two equivalent CoO6 octahedra, and an edgeedge with one CoO6 octahedra. The corner-sharing octahedra tilt angles range from 41–54°. 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 a cornercorner with one MnO6 octahedra, a cornercorner with one CoO6 octahedra, corners with two equivalent CoO6 pentagonal pyramids, and an edgeedge with one MnO6 octahedra. The corner-sharing octahedra tilt angles range from 48–53°. There are a spread of P–O bond distances ranging from 1.53–1.58 Å. There are thirty-six 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 distorted bent 150 degrees geometry to one Fe3+ and one P5+ atom. In the third O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Mn2+ and one P5+ atom. In the fourth O2- site, O2- is bonded in a bent 120 degrees geometry to one Mn2+ and one P5+ atom. In the fifth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Fe3+ and one P5+ atom. In the sixth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Fe3+ and one P5+ atom. In the seventh O2- site, O2- is bonded in a 3-coordinate geometry to two Mn2+ and one P5+ atom. In the eighth O2- site, O2- is bonded in a 3-coordinate geometry to one Mn2+, one Fe3+, and one P5+ atom. In the ninth O2- site, O2- is bonded in a 3-coordinate geometry to two Fe3+ and one P5+ atom. In the tenth O2- site, O2- is bonded in a 3-coordinate geometry to one Mn2+, one Fe3+, and one P5+ atom. In the eleventh O2- site, O2- is bonded in a 3-coordinate geometry to one Mn2+, one Fe3+, and one P5+ atom. In the twelfth O2- site, O2- is bonded in a 3-coordinate geometry to one Mn2+, one Fe3+, and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Fe3+ and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a bent 120 degrees geometry to one Mn2+ and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a bent 120 degrees geometry to one Mn2+ and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Fe3+ and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Fe3+ and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Mn2+ and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Mn2+ and one P5+ atom. In the twentieth O2- site, O2- is bonded in a bent 150 degrees geometry to one Fe3+ and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Co4+ and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Co4+ and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a bent 120 degrees geometry to one Co4+ and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Co4+ and one P5+ atom. In the twenty-fifth O2- site, O2- is bonded in a 3-coordinate geometry to one Mn2+, one Co4+, and one P5+ atom. In the twenty-sixth O2- site, O2- is bonded in a 3-coordinate geometry to one Fe3+, one Co4+, and one P5+ atom. In the twenty-seventh O2- site, O2- is bonded in a 3-coordinate geometry to two Co4+ and one P5+ atom. In the

36 MATERIALS SCIENCE↗

Materials Data on Sr14Nb6O29 by Materials Project

Sr14Nb6O29 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are fourteen inequivalent Sr2+ sites. In the first Sr2+ site, Sr2+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sr–O bond distances ranging from 2.46–3.14 Å. In the second Sr2+ site, Sr2+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Sr–O bond distances ranging from 2.49–2.68 Å. In the third Sr2+ site, Sr2+ is bonded to six O2- atoms to form distorted SrO6 square pyramids that share a cornercorner with one SrO6 octahedra, corners with three equivalent NbO6 octahedra, a cornercorner with one NbO5 trigonal bipyramid, and an edgeedge with one NbO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 18–39°. There are a spread of Sr–O bond distances ranging from 2.39–3.22 Å. In the fourth Sr2+ site, Sr2+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Sr–O bond distances ranging from 2.44–2.84 Å. In the fifth Sr2+ site, Sr2+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Sr–O bond distances ranging from 2.43–2.71 Å. In the sixth Sr2+ site, Sr2+ is bonded to six O2- atoms to form SrO6 octahedra that share corners with three equivalent NbO6 octahedra and corners with three equivalent NbO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 16–39°. There are a spread of Sr–O bond distances ranging from 2.44–2.70 Å. In the seventh Sr2+ site, Sr2+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Sr–O bond distances ranging from 2.53–2.75 Å. In the eighth Sr2+ site, Sr2+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Sr–O bond distances ranging from 2.49–2.65 Å. In the ninth Sr2+ site, Sr2+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sr–O bond distances ranging from 2.57–3.06 Å. In the tenth Sr2+ site, Sr2+ is bonded to six O2- atoms to form SrO6 octahedra that share corners with three equivalent NbO6 octahedra and corners with three equivalent NbO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 21–29°. There are a spread of Sr–O bond distances ranging from 2.43–2.64 Å. In the eleventh Sr2+ site, Sr2+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Sr–O bond distances ranging from 2.37–2.53 Å. In the twelfth Sr2+ site, Sr2+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sr–O bond distances ranging from 2.52–2.86 Å. In the thirteenth Sr2+ site, Sr2+ is bonded to six O2- atoms to form SrO6 octahedra that share corners with three equivalent NbO6 octahedra, a cornercorner with one SrO6 square pyramid, and corners with three equivalent NbO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 22–28°. There are a spread of Sr–O bond distances ranging from 2.41–2.71 Å. In the fourteenth Sr2+ site, Sr2+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sr–O bond distances ranging from 2.54–2.78 Å. There are six inequivalent Nb5+ sites. In the first Nb5+ site, Nb5+ is bonded to five O2- atoms to form distorted NbO5 trigonal bipyramids that share corners with three equivalent SrO6 octahedra, a cornercorner with one SrO6 square pyramid, and an edgeedge with one SrO6 square pyramid. The corner-sharing octahedra tilt angles range from 44–59°. There are a spread of Nb–O bond distances ranging from 1.91–2.01 Å. In the second Nb5+ site, Nb5+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Nb–O bond distances ranging from 1.84–2.20 Å. In the third Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with three equivalent SrO6 octahedra and corners with three equivalent SrO6 square pyramids. The corner-sharing octahedra tilt angles range from 16–39°. There are a spread of Nb–O bond distances ranging from 2.00–2.11 Å. In the fourth Nb5+ site, Nb5+ is bonded to five O2- atoms to form distorted NbO5 trigonal bipyramids that share corners with three equivalent SrO6 octahedra. The corner-sharing octahedra tilt angles range from 52–56°. There are a spread of Nb–O bond distances ranging from 1.88–2.04 Å. In the fifth Nb5+ site, Nb5+ is bonded to five O2- atoms to form distorted NbO5 trigonal bipyramids that share corners with three equivalent SrO6 octahedra. The corner-sharing octahedra tilt angles range from 47–54°. There are a spread of Nb–O bond distances ranging from 1.89–2.12 Å. In the sixth Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with six SrO6 octahedra. The corner-sharing octahedra tilt angles range from 21–29°. There are a spread of Nb–O bond distances ranging from 2.00–2.09 Å. There are twenty-nine inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to three Sr2+ and one Nb5+ atom. In the second O2- site, O2- is bonded in a 4-coordinate geometry to three Sr2+ and one Nb5+ atom. In the third O2- site, O2- is bonded to four Sr2+ and one Nb5+ atom to form distorted OSr4Nb square pyramids that share a cornercorner with one OSr4Nb square pyramid, a cornercorner with one OSr3Nb tetrahedra, an edgeedge with one OSr4Nb square pyramid, and an edgeedge with one OSr3Nb tetrahedra. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to three Sr2+ and one Nb5+ atom. In the fifth O2- site, O2- is bonded in a 4-coordinate geometry to three Sr2+ and one Nb5+ atom. In the sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Sr2+ and one Nb5+ atom. In the seventh O2- site, O2- is bonded to four Sr2+ and one Nb5+ atom to form distorted OSr4Nb square pyramids that share a cornercorner with one OSr4Nb square pyramid, corners with four OSr3Nb tetrahedra, an edgeedge with one OSr4Nb square pyramid, and an edgeedge with one OSr3Nb tetrahedra. In the eighth O2- site, O2- is bonded in a 4-coordinate geometry to four Sr2+ and one Nb5+ atom. In the ninth O2- site, O2- is bonded to three Sr2+ and one Nb5+ atom to form distorted OSr3Nb tetrahedra that share corners with two equivalent OSr4Nb square pyramids and corners with two OSr2Nb2 tetrahedra. In the tenth O2- site, O2- is bonded in a 4-coordinate geometry to three Sr2+ and one Nb5+ atom. In the eleventh O2- site, O2- is bonded to three Sr2+ and one Nb5+ atom to form distorted OSr3Nb tetrahedra that share corners with three OSr4Nb square pyramids, a cornercorner with one OSr3Nb tetrahedra, and edges with two OSr4Nb square pyramids. In the twelfth O2- site, O2- is bonded in a 3-coordinate geometry to two Sr2+ and one Nb5+ atom. In the thirteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Sr2+ and one Nb5+ atom. In the fourteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Sr2+ and one Nb5+ atom. In the fifteenth O2- site, O2- is bonded to two Sr2+ and two Nb5+ atoms to form a mixture of distorted edge and corner-sharing OSr2Nb2 tetrahedra. In the sixteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Sr2+ and two Nb5+ atoms. In the seventeenth O2- site, O2- is bonded in a trigonal non-coplanar geometry to one Sr2+ and two Nb5+ atoms. In the eighteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Sr2+ and two Nb5+ atoms. In the nineteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Sr2+ and one Nb5+ atom. In the twentieth O2- site, O2- is bonded to four Sr2+ and one Nb5+ atom to form distorted OSr4Nb square pyramids that share corners with two equivalent OSr3Nb tetrahedra, a cornercorner with one OSr4Nb trigonal bipyramid, and edges with two equivalent OSr4Nb trigonal bipyramids. In the twenty-first O2- site, O2- is bonded in a 5-coordinate geometry to four Sr2+ and one Nb5+ atom. In the twenty-second O2- site, O2- is bonded to three Sr2+ and one Nb5+ atom to form distorted OSr3Nb tetrahedra that share corners with two equivalent OSr4Nb square pyramids, corners with two equivalent OSr4Nb trigonal bipyramids, and an edgeedge with one OSr2Nb2 tetrahedra. In the twenty-third O2- site, O2- is bonded to four Sr2+ and one Nb5+ atom to form distorted OSr4Nb trigonal bipyramids that share a cornercorner with one OSr4Nb square pyramid, corners with two equivalent OSr3Nb tetrahedra, and edges with two equivalent OSr4Nb square pyramids. In the twenty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to three Sr2+ and one Nb5+ atom. In the twenty-fifth O2- site, O2- is bonded in a 5-coordinate geometry to four Sr2+ and one Nb5+ atom. In the twenty-sixth O2- site, O2- is bonded in a 1-coordinate geometry to four Sr2+ and one Nb5+ atom. In the twenty-seventh O2- site, O2- is bonded in a 4-coordinate geometry to three Sr2+ and one Nb5+ atom. In the twenty-eighth O2- site, O2- is bonded in a 5-coordinate geometry to four Sr2+ and one Nb5+ atom. In the twenty-ninth O2- site, O2- is bonded in a 5-coordinate geometry to four Sr2+ and one Nb5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on K2Mg3Zn2(Si2O5)6 by Materials Project

K2Mg3Zn2(Si2O5)6 crystallizes in the monoclinic C2 space group. The structure is three-dimensional. there are three inequivalent K1+ sites. In the first K1+ site, K1+ is bonded in a 12-coordinate geometry to twelve O2- atoms. There are two shorter (3.05 Å) and ten longer (3.06 Å) K–O bond lengths. In the second K1+ site, K1+ is bonded in a 12-coordinate geometry to twelve O2- atoms. There are six shorter (3.05 Å) and six longer (3.06 Å) K–O bond lengths. In the third K1+ site, K1+ is bonded in a 3-coordinate geometry to nine O2- atoms. There are a spread of K–O bond distances ranging from 2.65–3.04 Å. There are three inequivalent Mg2+ sites. In the first Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six SiO4 tetrahedra, an edgeedge with one ZnO4 tetrahedra, and edges with two equivalent MgO4 tetrahedra. There are a spread of Mg–O bond distances ranging from 2.10–2.19 Å. In the second Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six SiO4 tetrahedra and edges with three equivalent ZnO4 tetrahedra. There are three shorter (2.10 Å) and three longer (2.17 Å) Mg–O bond lengths. In the third Mg2+ site, Mg2+ is bonded to four O2- atoms to form distorted MgO4 tetrahedra that share corners with four SiO4 tetrahedra and edges with two equivalent MgO6 octahedra. There is two shorter (1.96 Å) and two longer (1.99 Å) Mg–O bond length. There are two inequivalent Zn2+ sites. In the first Zn2+ site, Zn2+ is bonded to four O2- atoms to form distorted ZnO4 tetrahedra that share corners with four SiO4 tetrahedra and edges with two equivalent MgO6 octahedra. There is two shorter (1.97 Å) and two longer (2.01 Å) Zn–O bond length. In the second Zn2+ site, Zn2+ is bonded to four O2- atoms to form distorted ZnO4 tetrahedra that share corners with four SiO4 tetrahedra and edges with two equivalent MgO6 octahedra. There is two shorter (1.97 Å) and two longer (2.01 Å) Zn–O bond length. There are ten inequivalent Si4+ sites. In the first Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one MgO6 octahedra, a cornercorner with one MgO4 tetrahedra, and corners with three SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 39°. There are a spread of Si–O bond distances ranging from 1.60–1.65 Å. In the second Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one MgO6 octahedra, a cornercorner with one MgO4 tetrahedra, and corners with three SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 39°. There are a spread of Si–O bond distances ranging from 1.60–1.65 Å. In the third Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one MgO6 octahedra, a cornercorner with one ZnO4 tetrahedra, and corners with three SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 38°. There are a spread of Si–O bond distances ranging from 1.61–1.65 Å. In the fourth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one MgO6 octahedra, a cornercorner with one ZnO4 tetrahedra, and corners with three SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 38°. There are a spread of Si–O bond distances ranging from 1.61–1.65 Å. In the fifth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one MgO6 octahedra, a cornercorner with one ZnO4 tetrahedra, and corners with three SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 38°. There are a spread of Si–O bond distances ranging from 1.61–1.65 Å. In the sixth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one MgO6 octahedra, a cornercorner with one ZnO4 tetrahedra, and corners with three SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 37°. There is one shorter (1.62 Å) and three longer (1.64 Å) Si–O bond length. In the seventh Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one MgO6 octahedra, a cornercorner with one ZnO4 tetrahedra, and corners with three SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 37°. There is one shorter (1.62 Å) and three longer (1.64 Å) Si–O bond length. In the eighth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one MgO6 octahedra, a cornercorner with one MgO4 tetrahedra, and corners with three SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 38°. There is one shorter (1.61 Å) and three longer (1.64 Å) Si–O bond length. In the ninth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one MgO6 octahedra, a cornercorner with one MgO4 tetrahedra, and corners with three SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 38°. There is one shorter (1.61 Å) and three longer (1.64 Å) Si–O bond length. In the tenth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one MgO6 octahedra, a cornercorner with one ZnO4 tetrahedra, and corners with three SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 38°. There are a spread of Si–O bond distances ranging from 1.62–1.65 Å. There are thirty inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to one K1+, two Mg2+, and one Si4+ atom. In the second O2- site, O2- is bonded in a 3-coordinate geometry to one K1+, one Mg2+, one Zn2+, and one Si4+ atom. In the third O2- site, O2- is bonded in a bent 150 degrees geometry to one K1+ and two Si4+ atoms. In the fourth O2- site, O2- is bonded in a bent 150 degrees geometry to one K1+ and two Si4+ atoms. In the fifth O2- site, O2- is bonded in a bent 150 degrees geometry to one K1+ and two Si4+ atoms. In the sixth O2- site, O2- is bonded in a bent 150 degrees geometry to one K1+ and two Si4+ atoms. In the seventh O2- site, O2- is bonded in a bent 150 degrees geometry to one K1+ and two Si4+ atoms. The O–Si bond length is 1.65 Å. In the eighth O2- site, O2- is bonded in a bent 150 degrees geometry to one K1+ and two Si4+ atoms. The O–Si bond length is 1.64 Å. In the ninth O2- site, O2- is bonded in a bent 150 degrees geometry to one K1+ and two Si4+ atoms. In the tenth O2- site, O2- is bonded in a bent 150 degrees geometry to one K1+ and two Si4+ atoms. The O–Si bond length is 1.64 Å. In the eleventh O2- site, O2- is bonded in a bent 150 degrees geometry to one K1+ and two Si4+ atoms. The O–Si bond length is 1.65 Å. In the twelfth O2- site, O2- is bonded in a bent 150 degrees geometry to one K1+ and two Si4+ atoms. In the thirteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one K1+ and two Si4+ atoms. In the fourteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one K1+ and two Si4+ atoms. In the fifteenth O2- site, O2- is bonded in a bent 150 degrees geometry to two Si4+ atoms. In the sixteenth O2- site, O2- is bonded in a bent 150 degrees geometry to two Si4+ atoms. The O–Si bond length is 1.62 Å. In the seventeenth O2- site, O2- is bonded in a bent 150 degrees geometry to two Si4+ atoms. In the eighteenth O2- site, O2- is bonded in a 2-coordinate geometry to one K1+ and two Si4+ atoms. In the nineteenth O2- site, O2- is bonded in a 2-coordinate geometry to one K1+ and two Si4+ atoms. The O–Si bond length is 1.64 Å. In the twentieth O2- site, O2- is bonded in a 2-coordinate geometry to one K1+ and two Si4+ atoms. In the twenty-first O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mg2+ and one Si4+ atom. In the twenty-second O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mg2+ and one Si4+ atom. In the twenty-third O2- site, O2- is bonded in a distorted trigonal planar geometry to one Mg2+, one Zn2+, and one Si4+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Mg2+, one Zn2+, and one Si4+ atom. In the twenty-fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Mg2+, one Zn2+, and one Si4+ atom. The O–Si bond length is 1.61 Å. In the twenty-sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Mg2+, one Zn2+, and one Si4+ atom. The O–Zn bond length is 1.97 Å. In the twenty-seventh O2- site, O2- is bonded in a 3-coordinate geometry to one K1+, one Mg2+, one Zn2+, and one Si4+ atom. In the twenty-eighth O2- site, O2- is bonded in a 3-coordinate geometry to one K1+, one Mg2+, one Zn2+, and one Si4+ atom. The O–Si bond length is 1.62 Å. In the twenty-ninth O2- site, O2- is bonded in a 3-coordinate geometry to one K1+, one Mg2+, one Zn2+, and one Si4+ atom. The O–Zn bond length is 2.01 Å. In the thirtieth O2- site, O2- is bonded in a 3-coordinate geometry to one K1+, two Mg2+, and one Si4+ atom.

36 MATERIALS SCIENCE↗

Materials Data on K2U(Si2O5)3 by Materials Project

K2U(Si2O5)3 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are four inequivalent K1+ sites. In the first K1+ site, K1+ is bonded in a 8-coordinate geometry to seven O2- atoms. There are a spread of K–O bond distances ranging from 2.80–3.32 Å. In the second K1+ site, K1+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of K–O bond distances ranging from 2.72–3.28 Å. In the third K1+ site, K1+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of K–O bond distances ranging from 2.88–3.41 Å. In the fourth K1+ site, K1+ is bonded to eight O2- atoms to form distorted KO8 hexagonal bipyramids that share corners with six SiO4 tetrahedra, edges with two equivalent UO6 octahedra, and edges with three SiO4 tetrahedra. There are a spread of K–O bond distances ranging from 2.93–3.33 Å. There are two inequivalent U4+ sites. In the first U4+ site, U4+ is bonded to six O2- atoms to form UO6 octahedra that share corners with six SiO4 tetrahedra. There are a spread of U–O bond distances ranging from 2.22–2.32 Å. In the second U4+ site, U4+ is bonded to six O2- atoms to form distorted UO6 octahedra that share corners with six SiO4 tetrahedra and edges with two equivalent KO8 hexagonal bipyramids. There are a spread of U–O bond distances ranging from 2.24–2.34 Å. There are twelve inequivalent Si4+ sites. In the first Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one UO6 octahedra, corners with three SiO4 tetrahedra, and an edgeedge with one KO8 hexagonal bipyramid. The corner-sharing octahedral tilt angles are 47°. There are a spread of Si–O bond distances ranging from 1.61–1.66 Å. In the second Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one UO6 octahedra and corners with three SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 40°. There are a spread of Si–O bond distances ranging from 1.61–1.66 Å. In the third Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one KO8 hexagonal bipyramid, a cornercorner with one UO6 octahedra, and corners with three SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 50°. There are a spread of Si–O bond distances ranging from 1.61–1.66 Å. In the fourth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two equivalent KO8 hexagonal bipyramids, a cornercorner with one UO6 octahedra, and corners with three SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 26°. There are a spread of Si–O bond distances ranging from 1.61–1.66 Å. In the fifth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one UO6 octahedra and corners with three SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 49°. There are a spread of Si–O bond distances ranging from 1.62–1.65 Å. In the sixth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one UO6 octahedra and corners with three SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 39°. There are a spread of Si–O bond distances ranging from 1.61–1.65 Å. In the seventh Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one KO8 hexagonal bipyramid, a cornercorner with one UO6 octahedra, and corners with three SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 58°. There are a spread of Si–O bond distances ranging from 1.61–1.65 Å. In the eighth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one UO6 octahedra and corners with three SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 67°. There are a spread of Si–O bond distances ranging from 1.61–1.66 Å. In the ninth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one UO6 octahedra, corners with three SiO4 tetrahedra, and an edgeedge with one KO8 hexagonal bipyramid. The corner-sharing octahedral tilt angles are 46°. There are a spread of Si–O bond distances ranging from 1.61–1.65 Å. In the tenth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one KO8 hexagonal bipyramid, a cornercorner with one UO6 octahedra, and corners with three SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 52°. There are a spread of Si–O bond distances ranging from 1.61–1.65 Å. In the eleventh Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one KO8 hexagonal bipyramid, a cornercorner with one UO6 octahedra, and corners with three SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 41°. There are a spread of Si–O bond distances ranging from 1.61–1.66 Å. In the twelfth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one UO6 octahedra, corners with three SiO4 tetrahedra, and an edgeedge with one KO8 hexagonal bipyramid. The corner-sharing octahedral tilt angles are 39°. There are a spread of Si–O bond distances ranging from 1.61–1.66 Å. There are thirty inequivalent O2- sites. In the first O2- site, O2- is bonded in a 2-coordinate geometry to one K1+, one U4+, and one Si4+ atom. In the second O2- site, O2- is bonded in a 1-coordinate geometry to two K1+, one U4+, and one Si4+ atom. In the third O2- site, O2- is bonded in a 1-coordinate geometry to two K1+, one U4+, and one Si4+ atom. In the fourth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one K1+ and two Si4+ atoms. In the fifth O2- site, O2- is bonded in a bent 150 degrees geometry to two Si4+ atoms. In the sixth O2- site, O2- is bonded in a bent 150 degrees geometry to two Si4+ atoms. In the seventh O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two Si4+ atoms. In the eighth O2- site, O2- is bonded in a 1-coordinate geometry to two equivalent K1+, one U4+, and one Si4+ atom. In the ninth O2- site, O2- is bonded in a bent 150 degrees geometry to two Si4+ atoms. In the tenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one K1+, one U4+, and one Si4+ atom. In the eleventh O2- site, O2- is bonded in a bent 150 degrees geometry to two Si4+ atoms. In the twelfth O2- site, O2- is bonded in a 3-coordinate geometry to two K1+, one U4+, and one Si4+ atom. In the thirteenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one K1+ and two Si4+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one K1+ and two Si4+ atoms. In the fifteenth O2- site, O2- is bonded in a linear geometry to two Si4+ atoms. In the sixteenth O2- site, O2- is bonded in a 2-coordinate geometry to two K1+, one U4+, and one Si4+ atom. In the seventeenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one K1+ and two Si4+ atoms. In the eighteenth O2- site, O2- is bonded in a 1-coordinate geometry to one K1+, one U4+, and one Si4+ atom. In the nineteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one K1+ and two Si4+ atoms. In the twentieth O2- site, O2- is bonded in a 1-coordinate geometry to two K1+, one U4+, and one Si4+ atom. In the twenty-first O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one K1+ and two Si4+ atoms. In the twenty-second O2- site, O2- is bonded in a 2-coordinate geometry to one K1+ and two Si4+ atoms. In the twenty-third O2- site, O2- is bonded in a 2-coordinate geometry to one K1+ and two Si4+ atoms. In the twenty-fourth O2- site, O2- is bonded in a 1-coordinate geometry to two K1+, one U4+, and one Si4+ atom. In the twenty-fifth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one K1+ and two Si4+ atoms. In the twenty-sixth O2- site, O2- is bonded in a bent 150 degrees geometry to two Si4+ atoms. In the twenty-seventh O2- site, O2- is bonded in a 2-coordinate geometry to one K1+, one U4+, and one Si4+ atom. In the twenty-eighth O2- site, O2- is bonded in a 1-coordinate geometry to two K1+, one U4+, and one Si4+ atom. In the twenty-ninth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one K1+ and two Si4+ atoms. In the thirtieth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one K1+ and two Si4+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Ga23N5O27 by Materials Project

Ga23N5O27 is beta indium sulfide-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twenty-three inequivalent Ga3+ sites. In the first Ga3+ site, Ga3+ is bonded to four O2- atoms to form corner-sharing GaO4 tetrahedra. The corner-sharing octahedra tilt angles range from 48–61°. There are a spread of Ga–O bond distances ranging from 1.84–2.01 Å. In the second Ga3+ site, Ga3+ is bonded to one N3- and five O2- atoms to form distorted GaNO5 octahedra that share corners with six GaO4 tetrahedra and edges with five GaO6 octahedra. The Ga–N bond length is 2.00 Å. There are a spread of Ga–O bond distances ranging from 1.90–2.34 Å. In the third Ga3+ site, Ga3+ is bonded to four O2- atoms to form corner-sharing GaO4 tetrahedra. The corner-sharing octahedra tilt angles range from 52–62°. There are a spread of Ga–O bond distances ranging from 1.84–1.94 Å. In the fourth Ga3+ site, Ga3+ is bonded to six O2- atoms to form GaO6 octahedra that share corners with six GaO4 tetrahedra and edges with four GaNO5 octahedra. There are a spread of Ga–O bond distances ranging from 1.98–2.06 Å. In the fifth Ga3+ site, Ga3+ is bonded to two N3- and four O2- atoms to form GaN2O4 octahedra that share corners with six GaNO3 tetrahedra and edges with six GaNO5 octahedra. There is one shorter (1.96 Å) and one longer (1.97 Å) Ga–N bond length. There are a spread of Ga–O bond distances ranging from 2.05–2.10 Å. In the sixth Ga3+ site, Ga3+ is bonded to six O2- atoms to form GaO6 octahedra that share corners with six GaO4 tetrahedra and edges with five GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.90–2.14 Å. In the seventh Ga3+ site, Ga3+ is bonded to six O2- atoms to form GaO6 octahedra that share corners with six GaO4 tetrahedra and edges with four GaNO5 octahedra. There are a spread of Ga–O bond distances ranging from 1.99–2.07 Å. In the eighth Ga3+ site, Ga3+ is bonded to one N3- and three O2- atoms to form corner-sharing GaNO3 tetrahedra. The corner-sharing octahedra tilt angles range from 56–63°. The Ga–N bond length is 1.89 Å. There are a spread of Ga–O bond distances ranging from 1.96–2.00 Å. In the ninth Ga3+ site, Ga3+ is bonded to one N3- and five O2- atoms to form GaNO5 octahedra that share corners with six GaNO3 tetrahedra and edges with six GaO6 octahedra. The Ga–N bond length is 1.96 Å. There are a spread of Ga–O bond distances ranging from 2.01–2.10 Å. In the tenth Ga3+ site, Ga3+ is bonded to two N3- and four O2- atoms to form GaN2O4 octahedra that share corners with six GaNO3 tetrahedra and edges with six GaNO5 octahedra. Both Ga–N bond lengths are 1.97 Å. There are a spread of Ga–O bond distances ranging from 2.04–2.14 Å. In the eleventh Ga3+ site, Ga3+ is bonded to four O2- atoms to form corner-sharing GaO4 tetrahedra. The corner-sharing octahedra tilt angles range from 50–59°. There are a spread of Ga–O bond distances ranging from 1.86–1.95 Å. In the twelfth Ga3+ site, Ga3+ is bonded to one N3- and five O2- atoms to form GaNO5 octahedra that share corners with six GaNO3 tetrahedra and edges with six GaN2O4 octahedra. The Ga–N bond length is 1.94 Å. There are a spread of Ga–O bond distances ranging from 2.04–2.07 Å. In the thirteenth Ga3+ site, Ga3+ is bonded to four O2- atoms to form corner-sharing GaO4 tetrahedra. The corner-sharing octahedra tilt angles range from 57–60°. There are a spread of Ga–O bond distances ranging from 1.91–1.94 Å. In the fourteenth Ga3+ site, Ga3+ is bonded to two N3- and four O2- atoms to form GaN2O4 octahedra that share corners with six GaNO3 tetrahedra and edges with six GaNO5 octahedra. There is one shorter (1.95 Å) and one longer (1.96 Å) Ga–N bond length. There are a spread of Ga–O bond distances ranging from 2.08–2.12 Å. In the fifteenth Ga3+ site, Ga3+ is bonded to one N3- and five O2- atoms to form GaNO5 octahedra that share corners with six GaNO3 tetrahedra and edges with six GaN2O4 octahedra. The Ga–N bond length is 1.95 Å. There are two shorter (2.05 Å) and three longer (2.06 Å) Ga–O bond lengths. In the sixteenth Ga3+ site, Ga3+ is bonded to one N3- and five O2- atoms to form GaNO5 octahedra that share corners with six GaO4 tetrahedra and edges with six GaNO5 octahedra. The Ga–N bond length is 1.93 Å. There are a spread of Ga–O bond distances ranging from 1.99–2.11 Å. In the seventeenth Ga3+ site, Ga3+ is bonded to one N3- and three O2- atoms to form corner-sharing GaNO3 tetrahedra. The corner-sharing octahedra tilt angles range from 52–61°. The Ga–N bond length is 1.88 Å. There is two shorter (1.92 Å) and one longer (1.93 Å) Ga–O bond length. In the eighteenth Ga3+ site, Ga3+ is bonded to one N3- and five O2- atoms to form GaNO5 octahedra that share corners with six GaNO3 tetrahedra and edges with six GaN2O4 octahedra. The Ga–N bond length is 1.94 Å. There are a spread of Ga–O bond distances ranging from 2.04–2.08 Å. In the nineteenth Ga3+ site, Ga3+ is bonded to two N3- and four O2- atoms to form GaN2O4 octahedra that share corners with six GaN2O2 tetrahedra and edges with six GaN2O4 octahedra. There is one shorter (1.96 Å) and one longer (1.97 Å) Ga–N bond length. There are a spread of Ga–O bond distances ranging from 2.07–2.11 Å. In the twentieth Ga3+ site, Ga3+ is bonded to six O2- atoms to form GaO6 octahedra that share corners with six GaO4 tetrahedra and edges with six GaNO5 octahedra. There are a spread of Ga–O bond distances ranging from 1.97–2.06 Å. In the twenty-first Ga3+ site, Ga3+ is bonded to two N3- and two O2- atoms to form corner-sharing GaN2O2 tetrahedra. The corner-sharing octahedra tilt angles range from 52–61°. Both Ga–N bond lengths are 1.89 Å. There is one shorter (1.93 Å) and one longer (1.99 Å) Ga–O bond length. In the twenty-second Ga3+ site, Ga3+ is bonded to one N3- and five O2- atoms to form GaNO5 octahedra that share corners with six GaO4 tetrahedra and edges with six GaNO5 octahedra. The Ga–N bond length is 1.94 Å. There are a spread of Ga–O bond distances ranging from 2.03–2.07 Å. In the twenty-third Ga3+ site, Ga3+ is bonded to one N3- and three O2- atoms to form corner-sharing GaNO3 tetrahedra. The corner-sharing octahedra tilt angles range from 50–64°. The Ga–N bond length is 1.92 Å. There are a spread of Ga–O bond distances ranging from 1.85–1.98 Å. There are five inequivalent N3- sites. In the first N3- site, N3- is bonded to four Ga3+ atoms to form distorted NGa4 trigonal pyramids that share corners with two equivalent NGa4 tetrahedra and corners with two OGa4 trigonal pyramids. In the second N3- site, N3- is bonded to four Ga3+ atoms to form distorted NGa4 tetrahedra that share corners with two equivalent NGa4 trigonal pyramids and corners with two OGa4 trigonal pyramids. In the third N3- site, N3- is bonded in a rectangular see-saw-like geometry to four Ga3+ atoms. In the fourth N3- site, N3- is bonded in a distorted rectangular see-saw-like geometry to four Ga3+ atoms. In the fifth N3- site, N3- is bonded in a distorted rectangular see-saw-like geometry to four Ga3+ atoms. There are twenty-seven inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ga3+ atoms. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ga3+ atoms. In the third O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ga3+ atoms. In the fourth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Ga3+ atoms. In the fifth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Ga3+ atoms. In the sixth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Ga3+ atoms. In the seventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Ga3+ atoms. In the eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ga3+ atoms. In the ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ga3+ atoms. In the tenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ga3+ atoms. In the eleventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Ga3+ atoms. In the twelfth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Ga3+ atoms. In the thirteenth O2- site, O2- is bonded to four Ga3+ atoms to form distorted OGa4 trigonal pyramids that share a cornercorner with one NGa4 tetrahedra, a cornercorner with one NGa4 trigonal pyramid, a cornercorner with one OGa4 trigonal pyramid, and edges with two OGa4 trigonal pyramids. In the fourteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Ga3+ atoms. In the fifteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Ga3+ atoms. In the sixteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Ga3+ atoms. In the seventeenth O2- site, O2- is bonded to four Ga3+ atoms to form a mixture of distorted corner and edge-sharing OGa4 trigonal pyramids. In the eighteenth O2- site, O2- is bonded to four Ga3+ atoms to form distorted OGa4 trigonal pyramids that share a cornercorner with one NGa4 tetrahedra, a cornercorner with one NGa4 trigonal pyramid, a cornercorner with one OGa4 trigonal pyramid, and edges with two OGa4 trigonal pyramids. In the nineteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Ga3+ atoms. In the twentieth O2- site, O2- is bonded to four Ga3+ atoms to form a mixture of distorted corner and edge-sharing OGa4 trigonal pyramids. In the twenty-first O2- site, O2- is bonded to four Ga3+ atoms to form distorted edge-sharing OGa4 trigonal pyramids. In the twenty-second O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Ga3+ atoms. In the twenty-third O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Ga3+ atoms. In the twenty-fourth O2- site, O2- is bonded to four Ga3+ atoms to form a mixture of distorted corner and edge-sharing OGa4 trigonal pyramids. In the twenty-fifth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Ga3+ atoms. In the twenty-sixth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Ga3+ atoms. In the twenty-seventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Ga3+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Na2TbO3 by Materials Project

Na2TbO3 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are seventeen inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded in a 6-coordinate geometry to seven O2- atoms. There are a spread of Na–O bond distances ranging from 2.35–3.06 Å. In the second Na1+ site, Na1+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Na–O bond distances ranging from 2.23–2.47 Å. In the third Na1+ site, Na1+ is bonded in a 4-coordinate geometry to five O2- atoms. There are a spread of Na–O bond distances ranging from 2.28–2.98 Å. In the fourth Na1+ site, Na1+ is bonded to six O2- atoms to form distorted edge-sharing NaO6 octahedra. There are a spread of Na–O bond distances ranging from 2.32–2.59 Å. In the fifth Na1+ site, Na1+ is bonded in a 5-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.33–2.65 Å. In the sixth Na1+ site, Na1+ is bonded in a 2-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.33–2.87 Å. In the seventh Na1+ site, Na1+ is bonded to six O2- atoms to form edge-sharing NaO6 octahedra. There are a spread of Na–O bond distances ranging from 2.38–2.47 Å. In the eighth Na1+ site, Na1+ is bonded in a 5-coordinate geometry to seven O2- atoms. There are a spread of Na–O bond distances ranging from 2.34–2.93 Å. In the ninth Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.26–2.72 Å. In the tenth Na1+ site, Na1+ is bonded in a 4-coordinate geometry to seven O2- atoms. There are a spread of Na–O bond distances ranging from 2.28–2.93 Å. In the eleventh Na1+ site, Na1+ is bonded in an octahedral geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.37–2.57 Å. In the twelfth 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 2.31–2.52 Å. In the thirteenth Na1+ site, Na1+ is bonded in a 3-coordinate geometry to seven O2- atoms. There are a spread of Na–O bond distances ranging from 2.24–2.89 Å. In the fourteenth Na1+ site, Na1+ is bonded in a 6-coordinate geometry to seven O2- atoms. There are a spread of Na–O bond distances ranging from 2.37–2.76 Å. In the fifteenth Na1+ site, Na1+ is bonded in a 2-coordinate geometry to five O2- atoms. There are a spread of Na–O bond distances ranging from 2.24–2.82 Å. In the sixteenth Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.21–2.67 Å. In the seventeenth Na1+ site, Na1+ is bonded to six O2- atoms to form distorted edge-sharing NaO6 octahedra. There are a spread of Na–O bond distances ranging from 2.31–2.58 Å. There are eight inequivalent Tb4+ sites. In the first Tb4+ site, Tb4+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Tb–O bond distances ranging from 2.23–2.45 Å. In the second Tb4+ site, Tb4+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Tb–O bond distances ranging from 2.21–2.81 Å. In the third Tb4+ site, Tb4+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Tb–O bond distances ranging from 2.29–2.79 Å. In the fourth Tb4+ site, Tb4+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Tb–O bond distances ranging from 2.28–2.57 Å. In the fifth Tb4+ site, Tb4+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Tb–O bond distances ranging from 2.32–2.52 Å. In the sixth Tb4+ site, Tb4+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Tb–O bond distances ranging from 2.23–2.72 Å. In the seventh Tb4+ site, Tb4+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Tb–O bond distances ranging from 2.22–2.46 Å. In the eighth Tb4+ site, Tb4+ is bonded in a 6-coordinate geometry to seven O2- atoms. There are a spread of Tb–O bond distances ranging from 2.28–2.62 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded to six Na1+ and one Tb4+ atom to form distorted ONa6Tb pentagonal bipyramids that share corners with two ONa3Tb3 octahedra, a cornercorner with one ONa6Tb pentagonal bipyramid, and edges with three ONa3Tb3 octahedra. The corner-sharing octahedra tilt angles range from 40–58°. In the second O2- site, O2- is bonded in a 7-coordinate geometry to six Na1+ and one Tb4+ atom. In the third O2- site, O2- is bonded in a 6-coordinate geometry to five Na1+ and one Tb4+ atom. In the fourth O2- site, O2- is bonded in a 7-coordinate geometry to four Na1+ and three Tb4+ atoms. In the fifth O2- site, O2- is bonded in a 6-coordinate geometry to five Na1+ and one Tb4+ atom. In the sixth O2- site, O2- is bonded in a 7-coordinate geometry to six Na1+ and one Tb4+ atom. In the seventh O2- site, O2- is bonded in a 8-coordinate geometry to five Na1+, two Tb4+, and one O2- atom. The O–O bond length is 1.54 Å. In the eighth O2- site, O2- is bonded to three Na1+ and three Tb4+ atoms to form distorted ONa3Tb3 octahedra that share edges with three ONa3Tb3 octahedra and an edgeedge with one ONa6Tb pentagonal bipyramid. In the ninth O2- site, O2- is bonded to three Na1+ and three Tb4+ atoms to form distorted ONa3Tb3 octahedra that share a cornercorner with one ONa3Tb3 octahedra, a cornercorner with one ONa6Tb pentagonal bipyramid, edges with two ONa3Tb3 octahedra, and edges with two equivalent ONa6Tb pentagonal bipyramids. The corner-sharing octahedral tilt angles are 0°. In the tenth O2- site, O2- is bonded in a 6-coordinate geometry to four Na1+ and three Tb4+ atoms. In the eleventh O2- site, O2- is bonded in a 7-coordinate geometry to three Na1+, three Tb4+, and one O2- atom. The O–O bond length is 1.53 Å. In the twelfth O2- site, O2- is bonded to three Na1+ and three Tb4+ atoms to form distorted ONa3Tb3 octahedra that share a cornercorner with one ONa6Tb pentagonal bipyramid, edges with three ONa3Tb3 octahedra, and an edgeedge with one ONa6Tb pentagonal bipyramid. In the thirteenth O2- site, O2- is bonded in a 6-coordinate geometry to three Na1+, two Tb4+, and one O2- atom. In the fourteenth O2- site, O2- is bonded to six Na1+ and one Tb4+ atom to form distorted ONa6Tb pentagonal bipyramids that share corners with two ONa3Tb3 octahedra, corners with two ONa6Tb pentagonal bipyramids, and edges with three ONa3Tb3 octahedra. The corner-sharing octahedra tilt angles range from 13–49°. In the fifteenth O2- site, O2- is bonded in a 5-coordinate geometry to four Na1+ and three Tb4+ atoms. In the sixteenth O2- site, O2- is bonded to three Na1+ and three Tb4+ atoms to form distorted ONa3Tb3 octahedra that share a cornercorner with one ONa3Tb3 octahedra, a cornercorner with one ONa6Tb pentagonal bipyramid, edges with two ONa3Tb3 octahedra, and an edgeedge with one ONa6Tb pentagonal bipyramid. The corner-sharing octahedral tilt angles are 15°. In the seventeenth O2- site, O2- is bonded in a 7-coordinate geometry to four Na1+ and three Tb4+ atoms. In the eighteenth O2- site, O2- is bonded in a 4-coordinate geometry to four Na1+, three Tb4+, and one O2- atom. In the nineteenth O2- site, O2- is bonded to three Na1+ and three Tb4+ atoms to form distorted ONa3Tb3 octahedra that share a cornercorner with one ONa3Tb3 octahedra, a cornercorner with one ONa6Tb pentagonal bipyramid, edges with three ONa3Tb3 octahedra, and an edgeedge with one ONa6Tb pentagonal bipyramid. The corner-sharing octahedral tilt angles are 15°. In the twentieth O2- site, O2- is bonded in a 5-coordinate geometry to three Na1+ and three Tb4+ atoms. In the twenty-first O2- site, O2- is bonded to three Na1+ and three Tb4+ atoms to form a mixture of edge and corner-sharing ONa3Tb3 octahedra. The corner-sharing octahedral tilt angles are 0°. In the twenty-second O2- site, O2- is bonded in a 6-coordinate geometry to three Na1+ and three Tb4+ atoms. In the twenty-third O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+ and three Tb4+ atoms. In the twenty-fourth O2- site, O2- is bonded in a 6-coordinate geometry to five Na1+ and one Tb4+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Na4Bi2C4SO16 by Materials Project

Na4C4Bi2SO16 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are sixteen inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded to six O2- atoms to form NaO6 octahedra that share corners with four NaO6 octahedra, edges with two BiO6 octahedra, and an edgeedge with one SO4 tetrahedra. The corner-sharing octahedra tilt angles range from 61–62°. There are a spread of Na–O bond distances ranging from 2.41–2.52 Å. In the second Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share corners with four NaO6 octahedra, edges with two BiO6 octahedra, and an edgeedge with one SO4 tetrahedra. The corner-sharing octahedra tilt angles range from 82–83°. There are a spread of Na–O bond distances ranging from 2.26–2.63 Å. In the third Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share corners with six NaO6 octahedra, edges with two BiO6 octahedra, and an edgeedge with one SO4 tetrahedra. The corner-sharing octahedra tilt angles range from 60–84°. There are a spread of Na–O bond distances ranging from 2.43–2.53 Å. In the fourth Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share corners with five NaO6 octahedra, edges with two BiO6 octahedra, and an edgeedge with one SO4 tetrahedra. The corner-sharing octahedra tilt angles range from 60–80°. There are a spread of Na–O bond distances ranging from 2.39–2.52 Å. In the fifth Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share corners with six NaO6 octahedra, edges with two BiO6 octahedra, and an edgeedge with one SO4 tetrahedra. The corner-sharing octahedra tilt angles range from 59–81°. There are a spread of Na–O bond distances ranging from 2.37–2.63 Å. In the sixth Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share corners with six NaO6 octahedra, edges with two BiO6 octahedra, and an edgeedge with one SO4 tetrahedra. The corner-sharing octahedra tilt angles range from 60–84°. There are a spread of Na–O bond distances ranging from 2.44–2.53 Å. In the seventh Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share corners with six NaO6 octahedra, edges with two BiO6 octahedra, and an edgeedge with one SO4 tetrahedra. The corner-sharing octahedra tilt angles range from 60–82°. There are a spread of Na–O bond distances ranging from 2.44–2.53 Å. In the eighth Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share corners with five NaO6 octahedra, edges with two BiO6 octahedra, and an edgeedge with one SO4 tetrahedra. The corner-sharing octahedra tilt angles range from 57–83°. There are a spread of Na–O bond distances ranging from 2.39–2.59 Å. In the ninth Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share corners with five NaO6 octahedra, edges with two BiO6 octahedra, and an edgeedge with one SO4 tetrahedra. The corner-sharing octahedra tilt angles range from 57–84°. There are a spread of Na–O bond distances ranging from 2.27–2.61 Å. In the tenth Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share corners with five NaO6 octahedra, edges with two BiO6 octahedra, and an edgeedge with one SO4 tetrahedra. The corner-sharing octahedra tilt angles range from 59–80°. There are a spread of Na–O bond distances ranging from 2.38–2.54 Å. In the eleventh Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share corners with five NaO6 octahedra, edges with two BiO6 octahedra, and an edgeedge with one SO4 tetrahedra. The corner-sharing octahedra tilt angles range from 57–85°. There are a spread of Na–O bond distances ranging from 2.26–2.67 Å. In the twelfth Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share corners with five NaO6 octahedra, edges with two BiO6 octahedra, and an edgeedge with one SO4 tetrahedra. The corner-sharing octahedra tilt angles range from 58–81°. There are a spread of Na–O bond distances ranging from 2.38–2.58 Å. In the thirteenth Na1+ site, Na1+ is bonded to six O2- atoms to form NaO6 octahedra that share corners with four NaO6 octahedra, edges with two BiO6 octahedra, and an edgeedge with one SO4 tetrahedra. The corner-sharing octahedra tilt angles range from 60–62°. There are a spread of Na–O bond distances ranging from 2.42–2.53 Å. In the fourteenth Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share corners with six NaO6 octahedra, edges with two BiO6 octahedra, and an edgeedge with one SO4 tetrahedra. The corner-sharing octahedra tilt angles range from 57–85°. There are a spread of Na–O bond distances ranging from 2.40–2.54 Å. In the fifteenth Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share corners with six NaO6 octahedra, edges with two BiO6 octahedra, and an edgeedge with one SO4 tetrahedra. The corner-sharing octahedra tilt angles range from 60–83°. There are a spread of Na–O bond distances ranging from 2.43–2.51 Å. In the sixteenth Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share corners with four NaO6 octahedra, edges with two BiO6 octahedra, and an edgeedge with one SO4 tetrahedra. The corner-sharing octahedra tilt angles range from 83–84°. There are a spread of Na–O bond distances ranging from 2.26–2.63 Å. There are sixteen inequivalent C4+ sites. In the first C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of C–O bond distances ranging from 1.29–1.31 Å. In the second C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of C–O bond distances ranging from 1.29–1.31 Å. In the third C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. All C–O bond lengths are 1.30 Å. In the fourth C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of C–O bond distances ranging from 1.29–1.31 Å. In the fifth C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of C–O bond distances ranging from 1.29–1.31 Å. In the sixth C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of C–O bond distances ranging from 1.29–1.31 Å. In the seventh C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.30 Å) and one longer (1.31 Å) C–O bond length. In the eighth C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.30 Å) and one longer (1.31 Å) C–O bond length. In the ninth C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. All C–O bond lengths are 1.30 Å. In the tenth C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.30 Å) and one longer (1.31 Å) C–O bond length. In the eleventh C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.30 Å) and one longer (1.31 Å) C–O bond length. In the twelfth C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.29 Å) and two longer (1.31 Å) C–O bond length. In the thirteenth C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.30 Å) and one longer (1.31 Å) C–O bond length. In the fourteenth C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.29 Å) and one longer (1.32 Å) C–O bond length. In the fifteenth C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. All C–O bond lengths are 1.30 Å. In the sixteenth C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.30 Å) and one longer (1.31 Å) C–O bond length. There are eight inequivalent Bi3+ sites. In the first Bi3+ site, Bi3+ is bonded to six O2- atoms to form BiO6 octahedra that share edges with four NaO6 octahedra. There are a spread of Bi–O bond distances ranging from 2.33–2.44 Å. In the second Bi3+ site, Bi3+ is bonded to six O2- atoms to form BiO6 octahedra that share edges with four NaO6 octahedra. There are a spread of Bi–O bond distances ranging from 2.34–2.44 Å. In the third Bi3+ site, Bi3+ is bonded to six O2- atoms to form BiO6 octahedra that share edges with four NaO6 octahedra. There are a spread of Bi–O bond distances ranging from 2.34–2.44 Å. In the fourth Bi3+ site, Bi3+ is bonded to six O2- atoms to form BiO6 octahedra that share edges with four NaO6 octahedra. There are a spread of Bi–O bond distances ranging from 2.33–2.42 Å. In the fifth Bi3+ site, Bi3+ is bonded to six O2- atoms to form BiO6 octahedra that share edges with three NaO6 octahedra. There are a spread of Bi–O bond distances ranging from 2.35–2.42 Å. In the sixth Bi3+ site, Bi3+ is bonded to six O2- atoms to form BiO6 octahedra that share edges with four NaO6 octahedra. There are a spread of Bi–O bond distances ranging from 2.34–2.43 Å. In the seventh Bi3+ site, Bi3+ is bonded to six O2- atoms to form BiO6 octahedra that share edges with five NaO6 octahedra. There are a spread of Bi–O bond distances ranging from 2.35–2.43 Å. In the eighth Bi3+ site, Bi3+ is bonded to six O2- atoms to form BiO6 octahedra that share edges with four NaO6 octahedra. There are a spread of Bi–O bond distances ranging from 2.33–2.45 Å. There are four inequivalent S6+ sites. In the first S6+ site, S6+ is bonded to four O2- atoms to form SO4 tetrahedra that share edges with two NaO6 octahedra. There are a spread of S–O bond distances ranging from 1.48–1.54 Å. In the second S6+ site, S6+ is bonded to four O2- atoms to form SO4 tetrahedra that share edges with six NaO6 octahedra. All S–O bond lengths are 1.50 Å. In the third S6+ site, S6+ is bonded to four O2- atoms to form SO4 tetrahedra that share edges with two NaO6 octahedra. All S–O bond lengths are 1.50 Å. In the fourth S6+ site, S6+ is bonded to four O2- atoms to form SO4 tetrahedra that share edges with six NaO6 octahedra. There is one shorter (1.49 Å) and three longer (1.50 Å) S–O bond length. There are sixty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one C4+, and one Bi3+ atom. In the second O2- site, O2- is bonded in an L-shaped geometry to one Na1+ and one S6+ atom. In the third O2- site, O2- is bonded in a distorted T-shaped geometry to two Na1+ and one S6+ atom. In the fourth O2- site, O2- is bonded in a 1-coordinate geometry to one Na1+, one C4+, and one Bi3+ atom. In the fifth O2- site, O2- is bonded in a 1-coordinate geometry to one Na1+, one C4+, and one Bi3+ atom. In the sixth O2- site, O2- is bonded in a single-bond geometry to one S6+ atom. In the seventh O2- site, O2- is bonded in an L-shaped geometry to one Na1+ and one S6+ atom. In the eighth O2- site, O2- is bonded in a 1-coordinate geometry to one Na1+, one C4+, and one Bi3+ atom. In the ninth O2- site, O2- is bonded in a 1-coordinate geometry to one Na1+, one C4+, and one Bi3+ atom. In the tenth O2- site, O2- is bonded in a 1-coordinate geometry to one Na1+, one C4+, and one Bi3+ atom. In the eleventh O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one C4+, and one Bi3+ atom. In the twelfth O2- site, O2- is bonded in a 1-coordinate geometry to one Na1+, one C4+, and one Bi3+ atom. In the thirteenth O2- site, O2- is bonded in a 1-coordinate geometry to one Na1+, one C4+, and one Bi3+ atom. In the fourteenth O2- site, O2- is bonded in a 1-coordinate geometry to one Na1+, one C4+, and one Bi3+ atom. In the fifteenth O2- site, O2- is bonded in a 1-coordinate geometry to two Na1+, one C4+, and one Bi3+ atom. In the sixteenth O2- site, O2- is bonded to three Na1+ and one S6+ atom to form distorted edge-sharing ONa3S trigonal pyramids. In the seventeenth O2- site,

36 MATERIALS SCIENCE↗

Materials Data on LiTi2O4 by Materials Project

LiTi2O4 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are seven inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.90–2.12 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 1.89–2.13 Å. In the third Li1+ site, Li1+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.89–2.08 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with nine TiO6 octahedra, edges with three TiO6 octahedra, and a faceface with one TiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–58°. There are a spread of Li–O bond distances ranging from 2.07–2.62 Å. In the fifth 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 1.89–2.14 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with nine TiO6 octahedra, edges with three TiO6 octahedra, and a faceface with one TiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–54°. There are a spread of Li–O bond distances ranging from 2.10–2.55 Å. In the seventh Li1+ site, Li1+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.89–2.13 Å. There are fourteen inequivalent Ti+3.50+ sites. In the first Ti+3.50+ site, Ti+3.50+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two LiO6 octahedra and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–13°. There are a spread of Ti–O bond distances ranging from 1.96–2.10 Å. In the second Ti+3.50+ site, Ti+3.50+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two LiO6 octahedra and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 9–15°. There are a spread of Ti–O bond distances ranging from 1.96–2.12 Å. In the third Ti+3.50+ site, Ti+3.50+ is bonded to six O2- atoms to form TiO6 octahedra that share an edgeedge with one LiO6 octahedra and edges with six TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.93–2.07 Å. In the fourth Ti+3.50+ site, Ti+3.50+ is bonded to six O2- atoms to form TiO6 octahedra that share edges with two LiO6 octahedra and edges with six TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 2.00–2.03 Å. In the fifth Ti+3.50+ site, Ti+3.50+ is bonded to six O2- atoms to form TiO6 octahedra that share an edgeedge with one LiO6 octahedra and edges with six TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.98–2.05 Å. In the sixth Ti+3.50+ site, Ti+3.50+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one LiO6 octahedra, an edgeedge with one LiO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedral tilt angles are 7°. There are a spread of Ti–O bond distances ranging from 1.98–2.04 Å. In the seventh Ti+3.50+ site, Ti+3.50+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one LiO6 octahedra, an edgeedge with one LiO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedral tilt angles are 14°. There are a spread of Ti–O bond distances ranging from 1.99–2.07 Å. In the eighth Ti+3.50+ site, Ti+3.50+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two LiO6 octahedra and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 46–54°. There are a spread of Ti–O bond distances ranging from 2.03–2.07 Å. In the ninth Ti+3.50+ site, Ti+3.50+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two LiO6 octahedra and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 44–50°. There are a spread of Ti–O bond distances ranging from 2.00–2.08 Å. In the tenth Ti+3.50+ site, Ti+3.50+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one LiO6 octahedra, edges with six TiO6 octahedra, and a faceface with one LiO6 octahedra. The corner-sharing octahedral tilt angles are 46°. There are a spread of Ti–O bond distances ranging from 1.99–2.07 Å. In the eleventh Ti+3.50+ site, Ti+3.50+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two LiO6 octahedra and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 39–43°. There are a spread of Ti–O bond distances ranging from 1.96–2.08 Å. In the twelfth Ti+3.50+ site, Ti+3.50+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one LiO6 octahedra, edges with six TiO6 octahedra, and a faceface with one LiO6 octahedra. The corner-sharing octahedral tilt angles are 58°. There are a spread of Ti–O bond distances ranging from 2.01–2.08 Å. In the thirteenth Ti+3.50+ site, Ti+3.50+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two LiO6 octahedra and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 49–54°. There are a spread of Ti–O bond distances ranging from 1.96–2.11 Å. In the fourteenth Ti+3.50+ site, Ti+3.50+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two LiO6 octahedra and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 49–53°. There are a spread of Ti–O bond distances ranging from 1.98–2.07 Å. There are twenty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Ti+3.50+ atoms. In the second O2- site, O2- is bonded to two Li1+ and three Ti+3.50+ atoms to form OLi2Ti3 square pyramids that share a cornercorner with one OLi2Ti3 square pyramid, a cornercorner with one OLi2Ti3 trigonal bipyramid, corners with three OLiTi3 trigonal pyramids, edges with two OLi2Ti3 square pyramids, an edgeedge with one OLi2Ti3 trigonal bipyramid, and an edgeedge with one OLiTi3 trigonal pyramid. In the third O2- site, O2- is bonded to two Li1+ and three Ti+3.50+ atoms to form OLi2Ti3 square pyramids that share a cornercorner with one OLi2Ti3 trigonal bipyramid, corners with three OLiTi3 trigonal pyramids, edges with three OLi2Ti3 square pyramids, edges with two OLi2Ti3 trigonal bipyramids, and edges with two OLiTi3 trigonal pyramids. In the fourth O2- site, O2- is bonded to two Li1+ and three Ti+3.50+ atoms to form distorted OLi2Ti3 trigonal bipyramids that share corners with two OLi2Ti3 square pyramids, a cornercorner with one OLi2Ti3 trigonal bipyramid, a cornercorner with one OLiTi3 trigonal pyramid, edges with two OLi2Ti3 square pyramids, an edgeedge with one OLi2Ti3 trigonal bipyramid, and edges with two OLiTi3 trigonal pyramids. In the fifth O2- site, O2- is bonded to one Li1+ and three Ti+3.50+ atoms to form OLiTi3 trigonal pyramids that share corners with three OLi2Ti3 square pyramids, a cornercorner with one OLiTi3 trigonal pyramid, an edgeedge with one OLi2Ti3 square pyramid, and edges with three OLi2Ti3 trigonal bipyramids. In the sixth O2- site, O2- is bonded to two Li1+ and three Ti+3.50+ atoms to form distorted OLi2Ti3 trigonal bipyramids that share a cornercorner with one OLi2Ti3 square pyramid, corners with two OLiTi3 trigonal pyramids, edges with two OLi2Ti3 square pyramids, edges with two OLi2Ti3 trigonal bipyramids, and edges with two OLiTi3 trigonal pyramids. In the seventh O2- site, O2- is bonded to two Li1+ and three Ti+3.50+ atoms to form OLi2Ti3 square pyramids that share a cornercorner with one OLi2Ti3 square pyramid, a cornercorner with one OLi2Ti3 trigonal bipyramid, corners with three OLiTi3 trigonal pyramids, edges with two OLi2Ti3 square pyramids, edges with two OLi2Ti3 trigonal bipyramids, and an edgeedge with one OLiTi3 trigonal pyramid. In the eighth O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.50+ atoms. In the ninth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Ti+3.50+ atoms. In the tenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Ti+3.50+ atoms. In the eleventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Ti+3.50+ atoms. In the twelfth O2- site, O2- is bonded to one Li1+ and three Ti+3.50+ atoms to form distorted OLiTi3 trigonal pyramids that share corners with two OLi2Ti3 square pyramids, a cornercorner with one OLi2Ti3 trigonal bipyramid, a cornercorner with one OLiTi3 trigonal pyramid, and an edgeedge with one OLiTi3 trigonal pyramid. In the thirteenth O2- site, O2- is bonded to one Li1+ and three Ti+3.50+ atoms to form distorted OLiTi3 trigonal pyramids that share corners with two OLi2Ti3 square pyramids, a cornercorner with one OLi2Ti3 trigonal bipyramid, and a cornercorner with one OLiTi3 trigonal pyramid. In the fourteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Ti+3.50+ atoms. In the fifteenth O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.50+ atoms. In the sixteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Ti+3.50+ atoms. In the seventeenth O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.50+ atoms. In the eighteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Ti+3.50+ atoms. In the nineteenth O2- site, O2- is bonded to one Li1+ and three Ti+3.50+ atoms to form distorted OLiTi3 trigonal pyramids that share a cornercorner with one OLi2Ti3 square pyramid and an edgeedge with one OLiTi3 trigonal pyramid. In the twentieth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Ti+3.50+ atoms. In the twenty-first O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Ti+3.50+ atoms. In the twenty-second O2- site, O2- is bonded to two Li1+ and three Ti+3.50+ atoms to form OLi2Ti3 square pyramids that share corners with two OLi2Ti3 square pyramids, a cornercorner with one OLi2Ti3 trigonal bipyramid, corners with three OLiTi3 trigonal pyramids, an edgeedge with one OLi2Ti3 square pyramid, an edgeedge with one OLi2Ti3 trigonal bipyramid, and an edgeedge with one OLiTi3 trigonal pyramid. In the twenty-third O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Ti+3.50+ atoms. In the twenty-fourth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Ti+3.50+ atoms. In the twenty-fifth O2- site, O2- is bonded to one Li1+ and three Ti+3.50+ atoms to form distorted OLiTi3 trigonal pyramids that share corners with two OLi2Ti3 square pyramids, a cornercorner with one OLiTi3 trigonal pyramid, edges with two OLi2Ti3 square pyramids, edges with two OLi2Ti3 trigonal bipyramids, and an edgeedge with one OLiTi3 trigonal pyramid. In the twenty-sixth O2- site, O2- is bonded to one Li1+ and three Ti+3.50+ atoms to form OLiTi3 trigonal pyramids that share corners with two OLi2Ti3 square pyramids, a cornercorner with one OLi2Ti3 trigonal bipyramid, edges with two OLi2Ti3 square pyramids, edges with two OLi2Ti3 trigonal bipyramids, and an edgeedge with one OLiTi3 trigonal pyramid. In the twenty-seventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Ti+3.50+ atoms. In the twenty-eighth O2- site, O2- is bonded to two Li1+ and three Ti+3.50+ atoms to form distorted OLi2Ti3 trigonal bipyramids that share a cornercorner with one OLi2Ti3 square pyramid, a cornercorner with one OLi2Ti3 trigonal bipyramid, edges w

36 MATERIALS SCIENCE↗

Materials Data on Li8V3P8O29 by Materials Project

Li8V3P8O29 crystallizes in the monoclinic Cc space group. The structure is three-dimensional. there are eight inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with four PO4 tetrahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.95–2.19 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with four PO4 tetrahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.95–2.27 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three VO6 octahedra and corners with four PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 65–67°. There are a spread of Li–O bond distances ranging from 1.87–2.14 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with four PO4 tetrahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.94–2.28 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with four PO4 tetrahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.95–2.14 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with four PO4 tetrahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.95–2.19 Å. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three VO6 octahedra and corners with four PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 64–66°. There are a spread of Li–O bond distances ranging from 1.87–2.14 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 1.96–2.14 Å. There are three inequivalent V+3.33+ sites. In the first V+3.33+ site, V+3.33+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two LiO4 tetrahedra, corners with six PO4 tetrahedra, and edges with two LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 2.01–2.05 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 two LiO4 tetrahedra, corners with six PO4 tetrahedra, and edges with two LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.91–2.03 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 two LiO4 tetrahedra, corners with six PO4 tetrahedra, and edges with two LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 2.01–2.06 Å. There are eight inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with four LiO4 tetrahedra. The corner-sharing octahedral tilt angles are 50°. There are a spread of P–O bond distances ranging from 1.51–1.61 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with four LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 48–50°. There are a spread of P–O bond distances ranging from 1.51–1.62 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra and corners with four LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 30–36°. 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 two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with four LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 49–50°. There are a spread of P–O bond distances ranging from 1.51–1.61 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with four LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 48–49°. There are a spread of P–O bond distances ranging from 1.50–1.61 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with four LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 48–49°. There are a spread of P–O bond distances ranging from 1.50–1.61 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra and corners with four LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 30–35°. There are a spread of P–O bond distances ranging from 1.50–1.63 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with four LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 49–50°. There are a spread of P–O bond distances ranging from 1.51–1.62 Å. There are twenty-nine inequivalent O2- sites. In the first O2- site, O2- is bonded in a bent 150 degrees geometry to two P5+ atoms. In the second O2- site, O2- is bonded in a trigonal planar geometry to two Li1+ and one P5+ atom. In the third O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+3.33+, and one P5+ atom. In the fourth O2- site, O2- is bonded in a trigonal planar geometry to two Li1+ and one P5+ atom. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+3.33+, and one P5+ atom. In the sixth O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one V+3.33+, and one P5+ atom. In the seventh O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+3.33+, and one P5+ atom. In the eighth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+3.33+, and one P5+ atom. In the ninth O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one V+3.33+, and one P5+ atom. In the tenth O2- site, O2- is bonded in a linear geometry to one Li1+ and one P5+ atom. In the eleventh O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one V+3.33+, and one P5+ atom. In the twelfth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+3.33+, and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a bent 150 degrees geometry to two P5+ atoms. In the fourteenth O2- site, O2- is bonded in a trigonal planar geometry to two Li1+ and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a distorted trigonal planar 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 V+3.33+, and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a trigonal planar geometry to two Li1+ and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a bent 150 degrees geometry to two P5+ atoms. In the nineteenth O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one V+3.33+, and one P5+ atom. In the twentieth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+3.33+, and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a 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 trigonal planar geometry to two Li1+ and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+3.33+, and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+3.33+, and one P5+ atom. In the twenty-fifth O2- site, O2- is bonded in a linear geometry to one Li1+ and one P5+ atom. In the twenty-sixth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+3.33+, and one P5+ atom. In the twenty-seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+3.33+, and one P5+ atom. 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 one Li1+, one V+3.33+, and one P5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Y4Ti13Si2(SbO14)2 by Materials Project

Y4Ti13Si2(SbO14)2 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are four inequivalent Y3+ sites. In the first Y3+ site, Y3+ is bonded to five O2- atoms to form distorted YO5 square pyramids that share corners with two equivalent YO5 square pyramids, corners with four TiO5 trigonal bipyramids, edges with two YO5 square pyramids, and an edgeedge with one TiO5 trigonal bipyramid. There are a spread of Y–O bond distances ranging from 2.17–2.37 Å. In the second Y3+ site, Y3+ is bonded to five O2- atoms to form distorted YO5 square pyramids that share corners with two equivalent YO5 square pyramids, corners with four TiO5 trigonal bipyramids, edges with two YO5 square pyramids, and an edgeedge with one TiO5 trigonal bipyramid. There are a spread of Y–O bond distances ranging from 2.16–2.38 Å. In the third Y3+ site, Y3+ is bonded to five O2- atoms to form distorted YO5 square pyramids that share corners with two equivalent YO5 square pyramids, corners with four TiO5 trigonal bipyramids, edges with two YO5 square pyramids, and an edgeedge with one TiO5 trigonal bipyramid. There are a spread of Y–O bond distances ranging from 2.17–2.35 Å. In the fourth Y3+ site, Y3+ is bonded to five O2- atoms to form distorted YO5 square pyramids that share corners with two equivalent YO5 square pyramids, corners with four TiO5 trigonal bipyramids, edges with two YO5 square pyramids, and an edgeedge with one TiO5 trigonal bipyramid. There are a spread of Y–O bond distances ranging from 2.16–2.38 Å. There are thirteen inequivalent Ti+3.85+ sites. In the first Ti+3.85+ site, Ti+3.85+ is bonded to five O2- atoms to form distorted TiO5 trigonal bipyramids that share corners with three YO5 square pyramids, a cornercorner with one SiO4 tetrahedra, corners with two equivalent TiO5 trigonal bipyramids, an edgeedge with one YO5 square pyramid, and edges with two TiO5 trigonal bipyramids. There are a spread of Ti–O bond distances ranging from 1.87–2.24 Å. In the second Ti+3.85+ site, Ti+3.85+ is bonded to five O2- atoms to form distorted TiO5 trigonal bipyramids that share a cornercorner with one TiO6 octahedra, a cornercorner with one YO5 square pyramid, corners with three SiO4 tetrahedra, corners with three TiO5 trigonal bipyramids, and edges with two TiO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 59°. There are a spread of Ti–O bond distances ranging from 2.04–2.47 Å. In the third Ti+3.85+ site, Ti+3.85+ is bonded to five O2- atoms to form distorted TiO5 trigonal bipyramids that share corners with three YO5 square pyramids, a cornercorner with one SiO4 tetrahedra, corners with two equivalent TiO5 trigonal bipyramids, an edgeedge with one YO5 square pyramid, and edges with two TiO5 trigonal bipyramids. There are a spread of Ti–O bond distances ranging from 1.87–2.27 Å. In the fourth Ti+3.85+ site, Ti+3.85+ is bonded to five O2- atoms to form distorted TiO5 trigonal bipyramids that share corners with three YO5 square pyramids, a cornercorner with one SiO4 tetrahedra, corners with two equivalent TiO5 trigonal bipyramids, an edgeedge with one YO5 square pyramid, and edges with two TiO5 trigonal bipyramids. There are a spread of Ti–O bond distances ranging from 1.87–2.27 Å. In the fifth Ti+3.85+ site, Ti+3.85+ is bonded to five O2- atoms to form distorted TiO5 trigonal bipyramids that share a cornercorner with one TiO6 octahedra, a cornercorner with one YO5 square pyramid, corners with three SiO4 tetrahedra, corners with three TiO5 trigonal bipyramids, and edges with two TiO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 61°. There are a spread of Ti–O bond distances ranging from 2.05–2.48 Å. In the sixth Ti+3.85+ site, Ti+3.85+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ti–O bond distances ranging from 2.11–2.18 Å. In the seventh Ti+3.85+ site, Ti+3.85+ is bonded to five O2- atoms to form distorted TiO5 trigonal bipyramids that share a cornercorner with one TiO6 octahedra, a cornercorner with one YO5 square pyramid, corners with three SiO4 tetrahedra, corners with three TiO5 trigonal bipyramids, and edges with two TiO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 61°. There are a spread of Ti–O bond distances ranging from 2.04–2.51 Å. In the eighth Ti+3.85+ site, Ti+3.85+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with two SiO4 tetrahedra and corners with four TiO5 trigonal bipyramids. There are a spread of Ti–O bond distances ranging from 2.07–2.35 Å. In the ninth Ti+3.85+ site, Ti+3.85+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ti–O bond distances ranging from 2.06–2.23 Å. In the tenth Ti+3.85+ site, Ti+3.85+ is bonded to five O2- atoms to form distorted TiO5 trigonal bipyramids that share a cornercorner with one TiO6 octahedra, a cornercorner with one YO5 square pyramid, corners with three SiO4 tetrahedra, corners with three TiO5 trigonal bipyramids, and edges with two TiO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 61°. There are a spread of Ti–O bond distances ranging from 2.04–2.53 Å. In the eleventh Ti+3.85+ site, Ti+3.85+ is bonded to five O2- atoms to form distorted TiO5 trigonal bipyramids that share corners with three YO5 square pyramids, a cornercorner with one SiO4 tetrahedra, corners with two equivalent TiO5 trigonal bipyramids, an edgeedge with one YO5 square pyramid, and edges with two TiO5 trigonal bipyramids. There are a spread of Ti–O bond distances ranging from 1.87–2.29 Å. In the twelfth Ti+3.85+ site, Ti+3.85+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ti–O bond distances ranging from 2.05–2.25 Å. In the thirteenth Ti+3.85+ site, Ti+3.85+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ti–O bond distances ranging from 2.09–2.21 Å. There are two inequivalent Si sites. In the first Si site, Si is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one TiO6 octahedra and corners with eight TiO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 61°. There is one shorter (1.62 Å) and three longer (1.65 Å) Si–O bond length. In the second Si site, Si is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one TiO6 octahedra and corners with eight TiO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 61°. There is one shorter (1.62 Å) and three longer (1.65 Å) Si–O bond length. There are two inequivalent Sb3- sites. In the first Sb3- site, Sb3- is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Sb–O bond distances ranging from 2.29–2.66 Å. In the second Sb3- site, Sb3- is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Sb–O bond distances ranging from 2.34–2.58 Å. There are twenty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded to one Y3+ and three Ti+3.85+ atoms to form distorted OYTi3 trigonal pyramids that share corners with three OY3Ti tetrahedra, a cornercorner with one OYTi2Sb trigonal pyramid, an edgeedge with one OY3Ti tetrahedra, and an edgeedge with one OYTi3 trigonal pyramid. In the second O2- site, O2- is bonded to three Y3+ and one Ti+3.85+ atom to form distorted OY3Ti tetrahedra that share corners with two equivalent OY3Ti tetrahedra, corners with six OYTi2Sb trigonal pyramids, edges with two OY3Ti tetrahedra, and an edgeedge with one OYTi3 trigonal pyramid. In the third O2- site, O2- is bonded in a 3-coordinate geometry to two Ti+3.85+ and one Si atom. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to three Ti+3.85+ and one Si atom. In the fifth O2- site, O2- is bonded to three Y3+ and one Ti+3.85+ atom to form distorted OY3Ti tetrahedra that share corners with two equivalent OY3Ti tetrahedra, corners with six OYTi3 trigonal pyramids, edges with two OY3Ti tetrahedra, and an edgeedge with one OYTi3 trigonal pyramid. In the sixth O2- site, O2- is bonded to one Y3+ and three Ti+3.85+ atoms to form distorted OYTi3 trigonal pyramids that share corners with three OY3Ti tetrahedra, a cornercorner with one OYTi2Sb trigonal pyramid, an edgeedge with one OY3Ti tetrahedra, and an edgeedge with one OYTi3 trigonal pyramid. In the seventh O2- site, O2- is bonded to one Y3+, two Ti+3.85+, and one Sb3- atom to form distorted OYTi2Sb trigonal pyramids that share corners with three OY3Ti tetrahedra, corners with four OYTi2Sb trigonal pyramids, and edges with two OYTi2Sb trigonal pyramids. In the eighth O2- site, O2- is bonded to one Y3+, two Ti+3.85+, and one Sb3- atom to form distorted OYTi2Sb trigonal pyramids that share corners with three OY3Ti tetrahedra, corners with four OYTi3 trigonal pyramids, and edges with two OYTi2Sb trigonal pyramids. In the ninth O2- site, O2- is bonded in a 4-coordinate geometry to three Ti+3.85+ and one Si atom. In the tenth O2- site, O2- is bonded in a 4-coordinate geometry to three Ti+3.85+ and one Sb3- atom. In the eleventh O2- site, O2- is bonded in a 3-coordinate geometry to three Ti+3.85+ and one Si atom. In the twelfth O2- site, O2- is bonded to one Y3+ and three Ti+3.85+ atoms to form distorted OYTi3 trigonal pyramids that share corners with three OY3Ti tetrahedra, a cornercorner with one OYTi2Sb trigonal pyramid, an edgeedge with one OY3Ti tetrahedra, and an edgeedge with one OYTi3 trigonal pyramid. In the thirteenth O2- site, O2- is bonded to one Y3+, two Ti+3.85+, and one Sb3- atom to form distorted OYTi2Sb trigonal pyramids that share corners with three OY3Ti tetrahedra, corners with four OYTi3 trigonal pyramids, and edges with two OYTi2Sb trigonal pyramids. In the fourteenth O2- site, O2- is bonded in a 3-coordinate geometry to three Ti+3.85+ and one Sb3- atom. In the fifteenth O2- site, O2- is bonded in a 4-coordinate geometry to three Ti+3.85+ and one Si atom. In the sixteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Ti+3.85+ and one Si atom. In the seventeenth O2- site, O2- is bonded in a 4-coordinate geometry to three Ti+3.85+ and one Sb3- atom. In the eighteenth O2- site, O2- is bonded in a 4-coordinate geometry to three Ti+3.85+ and one Sb3- atom. In the nineteenth O2- site, O2- is bonded to one Y3+, two Ti+3.85+, and one Sb3- atom to form distorted OYTi2Sb trigonal pyramids that share corners with three OY3Ti tetrahedra, corners with four OYTi3 trigonal pyramids, and edges with two OYTi2Sb trigonal pyramids. In the twentieth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.85+ atoms. In the twenty-first O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.85+ atoms. In the twenty-second O2- site, O2- is bonded in a 4-coordinate geometry to three Ti+3.85+ and one Si atom. In the twenty-third O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.85+ atoms. In the twenty-fourth O2- site, O2- is bonded to three Y3+ and one Ti+3.85+ atom to form distorted OY3Ti tetrahedra that share corners with two equivalent OY3Ti tetrahedra, corners with six OYTi2Sb trigonal pyramids, edges with two OY3Ti tetrahedra, and an edgeedge with one OYTi3 trigonal pyramid. In the twenty-fifth O2- site, O2- is bonded in a 3-coordinate geometry to three Ti+3.85+ and one Si atom. In the twenty-sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.85+ atoms. In the twenty-seventh O2- site, O2- is bonded to one Y3+ and three Ti+3.85+ atoms to form distorted OYTi3 trigonal pyramids that share corners with three OY3Ti tetrahedra, a cornercorner with one OYTi2Sb trigonal pyramid, an edgeedge with one OY3Ti tetrahedra, and an edgeedge with one OYTi3 trigonal pyramid. In the twenty-eighth O2- site, O2- is bonded to three Y3+ and one Ti+3.85+ atom to form distorted OY3Ti tetrahedra that share corners with two equivalent OY3Ti tetrahedra, corners wi

36 MATERIALS SCIENCE↗

Materials Data on Li3Ta12O31 by Materials Project

Li3Ta12O31 crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are three inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a 2-coordinate geometry to eight O2- atoms. There are a spread of Li–O bond distances ranging from 2.07–2.83 Å. In the second Li1+ site, Li1+ is bonded in a 2-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.07–2.59 Å. In the third Li1+ site, Li1+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Li–O bond distances ranging from 2.17–2.68 Å. There are twelve inequivalent Ta+4.92+ sites. In the first Ta+4.92+ site, Ta+4.92+ is bonded to six O2- atoms to form TaO6 octahedra that share corners with six TaO6 octahedra and an edgeedge with one TaO7 pentagonal bipyramid. The corner-sharing octahedra tilt angles range from 3–38°. There are a spread of Ta–O bond distances ranging from 1.95–2.09 Å. In the second Ta+4.92+ site, Ta+4.92+ is bonded to six O2- atoms to form TaO6 octahedra that share corners with five TaO6 octahedra and an edgeedge with one TaO7 pentagonal bipyramid. The corner-sharing octahedra tilt angles range from 6–38°. There are a spread of Ta–O bond distances ranging from 1.94–2.14 Å. In the third Ta+4.92+ site, Ta+4.92+ is bonded to six O2- atoms to form TaO6 octahedra that share corners with six TaO6 octahedra and an edgeedge with one TaO7 pentagonal bipyramid. The corner-sharing octahedra tilt angles range from 3–37°. There are a spread of Ta–O bond distances ranging from 1.93–2.12 Å. In the fourth Ta+4.92+ site, Ta+4.92+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Ta–O bond distances ranging from 1.91–2.01 Å. In the fifth Ta+4.92+ site, Ta+4.92+ is bonded to six O2- atoms to form TaO6 octahedra that share corners with six TaO6 octahedra and an edgeedge with one TaO7 pentagonal bipyramid. The corner-sharing octahedra tilt angles range from 2–37°. There are a spread of Ta–O bond distances ranging from 1.92–2.05 Å. In the sixth Ta+4.92+ site, Ta+4.92+ is bonded to six O2- atoms to form TaO6 octahedra that share corners with five TaO6 octahedra and an edgeedge with one TaO7 pentagonal bipyramid. The corner-sharing octahedra tilt angles range from 11–38°. There are a spread of Ta–O bond distances ranging from 1.92–2.09 Å. In the seventh Ta+4.92+ site, Ta+4.92+ is bonded to six O2- atoms to form distorted TaO6 octahedra that share corners with six TaO6 octahedra and an edgeedge with one TaO7 pentagonal bipyramid. The corner-sharing octahedra tilt angles range from 0–38°. There are a spread of Ta–O bond distances ranging from 1.89–2.12 Å. In the eighth Ta+4.92+ site, Ta+4.92+ is bonded to six O2- atoms to form distorted TaO6 octahedra that share corners with six TaO6 octahedra and an edgeedge with one TaO7 pentagonal bipyramid. The corner-sharing octahedra tilt angles range from 0–38°. There are a spread of Ta–O bond distances ranging from 1.89–2.12 Å. In the ninth Ta+4.92+ site, Ta+4.92+ is bonded to six O2- atoms to form TaO6 octahedra that share corners with five TaO6 octahedra and an edgeedge with one TaO7 pentagonal bipyramid. The corner-sharing octahedra tilt angles range from 10–37°. There are a spread of Ta–O bond distances ranging from 1.96–2.06 Å. In the tenth Ta+4.92+ site, Ta+4.92+ is bonded to six O2- atoms to form TaO6 octahedra that share corners with five TaO6 octahedra and an edgeedge with one TaO7 pentagonal bipyramid. The corner-sharing octahedra tilt angles range from 8–38°. There are a spread of Ta–O bond distances ranging from 1.91–2.21 Å. In the eleventh Ta+4.92+ site, Ta+4.92+ is bonded to seven O2- atoms to form TaO7 pentagonal bipyramids that share corners with two equivalent TaO7 pentagonal bipyramids and edges with five TaO6 octahedra. There are a spread of Ta–O bond distances ranging from 1.95–2.18 Å. In the twelfth Ta+4.92+ site, Ta+4.92+ is bonded to seven O2- atoms to form TaO7 pentagonal bipyramids that share corners with two equivalent TaO7 pentagonal bipyramids and edges with four TaO6 octahedra. There are a spread of Ta–O bond distances ranging from 1.95–2.18 Å. There are thirty-one inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to three Ta+4.92+ atoms. In the second O2- site, O2- is bonded in a 3-coordinate geometry to three Ta+4.92+ atoms. In the third O2- site, O2- is bonded in a bent 150 degrees geometry to two Ta+4.92+ atoms. In the fourth O2- site, O2- is bonded in a bent 150 degrees geometry to two Ta+4.92+ atoms. In the fifth O2- site, O2- is bonded in a bent 150 degrees geometry to two Ta+4.92+ atoms. In the sixth O2- site, O2- is bonded in a bent 150 degrees geometry to two Ta+4.92+ atoms. In the seventh O2- site, O2- is bonded in a 5-coordinate geometry to two equivalent Li1+ and three Ta+4.92+ atoms. In the eighth O2- site, O2- is bonded in a 5-coordinate geometry to two equivalent Li1+ and three Ta+4.92+ atoms. In the ninth O2- site, O2- is bonded in a 5-coordinate geometry to two equivalent Li1+ and three Ta+4.92+ atoms. In the tenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ta+4.92+ atoms. In the eleventh O2- site, O2- is bonded in a T-shaped geometry to one Li1+ and two equivalent Ta+4.92+ atoms. In the twelfth O2- site, O2- is bonded in a T-shaped geometry to one Li1+ and two equivalent Ta+4.92+ atoms. In the thirteenth O2- site, O2- is bonded in a T-shaped geometry to one Li1+ and two equivalent Ta+4.92+ atoms. In the fourteenth O2- site, O2- is bonded in a linear geometry to two equivalent Ta+4.92+ atoms. In the fifteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ta+4.92+ atoms. In the sixteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ta+4.92+ atoms. In the seventeenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ta+4.92+ atoms. In the eighteenth O2- site, O2- is bonded in a 3-coordinate geometry to three Ta+4.92+ atoms. In the nineteenth O2- site, O2- is bonded in a linear geometry to two equivalent Li1+ and two Ta+4.92+ atoms. In the twentieth O2- site, O2- is bonded in a 2-coordinate geometry to two equivalent Li1+ and two Ta+4.92+ atoms. In the twenty-first O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Li1+ and two Ta+4.92+ atoms. In the twenty-second O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Li1+ and two Ta+4.92+ atoms. In the twenty-third O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Li1+ and two Ta+4.92+ atoms. In the twenty-fourth O2- site, O2- is bonded in a bent 150 degrees geometry to two Ta+4.92+ atoms. In the twenty-fifth O2- site, O2- is bonded in a linear geometry to two equivalent Ta+4.92+ atoms. In the twenty-sixth O2- site, O2- is bonded in a linear geometry to two equivalent Ta+4.92+ atoms. In the twenty-seventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Li1+ and two equivalent Ta+4.92+ atoms. In the twenty-eighth O2- site, O2- is bonded in a T-shaped geometry to one Li1+ and two equivalent Ta+4.92+ atoms. In the twenty-ninth O2- site, O2- is bonded in a linear geometry to two equivalent Ta+4.92+ atoms. In the thirtieth O2- site, O2- is bonded in a linear geometry to two equivalent Ta+4.92+ atoms. In the thirty-first O2- site, O2- is bonded in a linear geometry to two equivalent Ta+4.92+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Li9Cr4P4(CO7)4 by Materials Project

Li9Cr4P4(CO7)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 2.02–2.12 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 2.01–2.23 Å. In the third Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share corners with two CrO6 octahedra, corners with three PO4 tetrahedra, and an edgeedge with one CrO6 octahedra. The corner-sharing octahedra tilt angles range from 62–83°. There are a spread of Li–O bond distances ranging from 2.04–2.33 Å. In the fourth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share corners with two CrO6 octahedra, corners with three PO4 tetrahedra, and an edgeedge with one CrO6 octahedra. The corner-sharing octahedra tilt angles range from 64–77°. There are a spread of Li–O bond distances ranging from 2.04–2.30 Å. In the fifth Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.97–2.52 Å. In the sixth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share corners with two CrO6 octahedra, corners with three PO4 tetrahedra, and an edgeedge with one CrO6 octahedra. The corner-sharing octahedra tilt angles range from 63–77°. There are a spread of Li–O bond distances ranging from 2.03–2.24 Å. In the seventh 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 2.01–2.64 Å. In the eighth 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 1.97–2.68 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 1.86–2.19 Å. There are four inequivalent Cr+2.75+ sites. In the first Cr+2.75+ site, Cr+2.75+ is bonded to six O2- atoms to form distorted CrO6 octahedra that share corners with four PO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, and an edgeedge with one LiO5 trigonal bipyramid. There are a spread of Cr–O bond distances ranging from 2.07–2.37 Å. In the second Cr+2.75+ site, Cr+2.75+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with four PO4 tetrahedra, corners with two LiO5 trigonal bipyramids, and an edgeedge with one LiO5 trigonal bipyramid. There are a spread of Cr–O bond distances ranging from 1.98–2.10 Å. In the third Cr+2.75+ site, Cr+2.75+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with four PO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, and an edgeedge with one LiO5 trigonal bipyramid. There are a spread of Cr–O bond distances ranging from 2.00–2.11 Å. In the fourth Cr+2.75+ site, Cr+2.75+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with four PO4 tetrahedra and corners with two LiO5 trigonal bipyramids. There are a spread of Cr–O bond distances ranging from 2.00–2.12 Å. There are four inequivalent C4+ sites. In the first C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of C–O bond distances ranging from 1.27–1.32 Å. In the second C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of C–O bond distances ranging from 1.29–1.31 Å. In the third C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of C–O bond distances ranging from 1.26–1.33 Å. In the fourth C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.26 Å) and two longer (1.32 Å) C–O bond length. There are four inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four CrO6 octahedra and corners with two LiO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 37–49°. 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 four CrO6 octahedra and corners with three LiO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 36–51°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four CrO6 octahedra and corners with two LiO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 37–55°. 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 four CrO6 octahedra and corners with two LiO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 38–57°. There are a spread of P–O bond distances ranging from 1.52–1.58 Å. There are twenty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, one Cr+2.75+, and one C4+ atom. In the second O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Cr+2.75+, and one C4+ atom. In the third O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Li1+ and one C4+ atom. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Cr+2.75+, and one C4+ atom. In the fifth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Li1+ and one C4+ atom. In the sixth O2- site, O2- is bonded in a 1-coordinate geometry to two Li1+, one Cr+2.75+, and one C4+ atom. In the seventh O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Cr+2.75+, and one P5+ atom. In the eighth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Cr+2.75+, and one P5+ atom. In the ninth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Cr+2.75+, and one P5+ atom. In the tenth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Cr+2.75+, and one P5+ atom. In the eleventh O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Cr+2.75+, and one P5+ atom. In the twelfth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Cr+2.75+, and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one Cr+2.75+, and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Cr+2.75+, and one P5+ atom. In the fifteenth O2- site, O2- is bonded to two Li1+, one Cr+2.75+, and one P5+ atom to form distorted corner-sharing OLi2CrP tetrahedra. In the sixteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Cr+2.75+, and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Cr+2.75+, and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Cr+2.75+, and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Cr+2.75+, and one P5+ atom. In the twentieth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Cr+2.75+, and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Cr+2.75+, and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Cr+2.75+, and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Cr+2.75+, and one C4+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Li1+ and one C4+ atom. In the twenty-fifth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Cr+2.75+, and one C4+ atom. In the twenty-sixth O2- site, O2- is bonded to three Li1+ and one C4+ atom to form corner-sharing OLi3C tetrahedra. In the twenty-seventh O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Cr+2.75+, and one C4+ atom. In the twenty-eighth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Cr+2.75+, and one C4+ atom.

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 1.96–2.20 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three VO6 octahedra and corners with four PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 65–67°. There are a spread of Li–O bond distances ranging from 1.89–2.18 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 1.88–2.22 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 1.91–2.22 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four PO4 tetrahedra and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.92–2.23 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with four PO4 tetrahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.97–2.19 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 1.91–2.24 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 1.88–2.21 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 1.99–2.21 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 1.88–2.20 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 and edges with two LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.90–1.99 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 edges with two LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.85–1.99 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 1.87–1.98 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 1.85–1.99 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 and an edgeedge with one LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.84–1.99 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 and corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.84–2.00 Å. There are sixteen inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 45–46°. There are a spread of P–O bond distances ranging from 1.48–1.63 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, 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 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 39–44°. There are a spread of P–O bond distances ranging from 1.48–1.62 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 30–36°. There are a spread of P–O bond distances ranging from 1.50–1.59 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra and a cornercorner with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 27–35°. There are a spread of P–O bond distances ranging from 1.49–1.59 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 43–47°. There are a spread of P–O bond distances ranging from 1.50–1.61 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 37–44°. There are a spread of P–O bond distances ranging from 1.48–1.62 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 44–45°. There are a spread of P–O bond distances ranging from 1.48–1.62 Å. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 38–44°. There are a spread of P–O bond distances ranging from 1.48–1.62 Å. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 41–46°. There are a spread of P–O bond distances ranging from 1.50–1.62 Å. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedral tilt angles are 40°. There are a spread of P–O bond distances ranging from 1.50–1.62 Å. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra and corners with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 34–36°. There are a spread of P–O bond distances ranging from 1.49–1.60 Å. In the thirteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 26–35°. There are a spread of P–O bond distances ranging from 1.48–1.61 Å. In the fourteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 36–46°. 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 two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 39–43°. 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 39–45°. There are a spread of P–O bond distances ranging from 1.48–1.61 Å. There are fifty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a trigonal planar geometry to two Li1+ and one P5+ atom. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+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 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 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 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 bent 120 degrees geometry to one Li1+ and one P5+ atom. In the ninth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one V+4.33+ and one P5+ atom. In the tenth 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 eleventh O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one V+4.33+ and one P5+ atom. In the twelfth O2- site, O2- is bonded in a bent 150 degrees geometry to 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 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 trigonal planar geometry to one Li1+, one V+4.33+, and one P5+ atom. In the twenty-third O2-

36 MATERIALS SCIENCE↗

Materials Data on Li8V3P8O29 by Materials Project

Li8V3P8O29 crystallizes in the monoclinic Cc space group. The structure is three-dimensional. there are eight inequivalent Li1+ sites. In the first 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 1.98–2.11 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 1.96–2.15 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three VO6 octahedra and corners with four PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 69–71°. There are a spread of Li–O bond distances ranging from 1.86–2.24 Å. In the fourth Li1+ site, Li1+ is bonded in a distorted see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.95–2.08 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 1.97–2.19 Å. In the sixth Li1+ site, Li1+ is bonded in a distorted see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 2.00–2.11 Å. In the seventh Li1+ site, Li1+ is bonded in a distorted see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.99–2.09 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 2.33–2.46 Å. There are three 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 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 1.86–2.04 Å. In the second V+3.33+ site, V+3.33+ is bonded to six O2- atoms to form VO6 octahedra that share a cornercorner with one LiO4 tetrahedra and corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.97–2.07 Å. In the third V+3.33+ site, V+3.33+ is bonded to six O2- atoms to form VO6 octahedra that share a cornercorner with one LiO4 tetrahedra and corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.96–2.07 Å. There are eight 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 octahedral tilt angles are 48°. There are a spread of P–O bond distances ranging from 1.53–1.60 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 48–50°. There are a spread of P–O bond distances ranging from 1.53–1.61 Å. In the third 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 35–39°. There are a spread of P–O bond distances ranging from 1.51–1.59 Å. In the fourth 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 42–47°. There are a spread of P–O bond distances ranging from 1.52–1.62 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 46–49°. 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 corners with two VO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 40–47°. There are a spread of P–O bond distances ranging from 1.52–1.62 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 32–37°. There are a spread of P–O bond distances ranging from 1.49–1.63 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 42–47°. There are a spread of P–O bond distances ranging from 1.52–1.63 Å. There are twenty-nine inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to three Li1+ and one P5+ atom. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+3.33+, and one P5+ atom. In the third O2- site, O2- is bonded in a 4-coordinate geometry to three Li1+ and one P5+ atom. In the fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+3.33+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+3.33+, and one P5+ atom. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+3.33+, and one P5+ atom. In the seventh O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one V+3.33+, and one P5+ atom. In the eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+3.33+, and one P5+ atom. In the ninth O2- site, O2- is bonded in a linear geometry to one Li1+ and one P5+ atom. In the tenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+3.33+, and one P5+ atom. In the eleventh O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+3.33+, and one P5+ atom. In the twelfth O2- site, O2- is bonded in a bent 150 degrees geometry to two P5+ atoms. 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 trigonal planar geometry to one Li1+, one V+3.33+, and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a 4-coordinate geometry to three Li1+ 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 one Li1+, one V+3.33+, and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+3.33+ and one P5+ atom. In the twentieth O2- site, O2- is bonded in a 4-coordinate geometry to three Li1+ and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two P5+ atoms. In the twenty-second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+3.33+, and one P5+ atom. In the 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 single-bond geometry to one P5+ atom. In the twenty-fifth 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-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 bent 150 degrees geometry to two P5+ atoms. In the twenty-eighth O2- site, O2- is bonded in a 4-coordinate geometry to three Li1+ and one P5+ atom. In the twenty-ninth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one V+3.33+ and one P5+ atom.

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 corners with four PO4 tetrahedra, an edgeedge with one LiO6 octahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.94–2.20 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 1.89–2.20 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 1.88–2.26 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 68–69°. There are a spread of Li–O bond distances ranging from 1.87–2.28 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four PO4 tetrahedra, an edgeedge with one LiO6 octahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.94–2.18 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four PO4 tetrahedra, an edgeedge with one LiO6 octahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.93–2.15 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 1.98–2.23 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 2.00–2.32 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 2.00–2.33 Å. In the tenth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six PO4 tetrahedra and edges with three LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 2.29–2.46 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 1.82–1.97 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 and corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.80–1.97 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 1.87–2.04 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 1.85–2.03 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 1.90–1.98 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 an edgeedge with one LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.84–2.04 Å. There are sixteen inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 38–52°. There are a spread of P–O bond distances ranging from 1.49–1.61 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 39–43°. 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 40–42°. There are a spread of P–O bond distances ranging from 1.50–1.60 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra and corners with four LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 36–39°. There are a spread of P–O bond distances ranging from 1.51–1.58 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra and 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 1.49–1.59 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, 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 39–56°. There are a spread of P–O bond distances ranging from 1.49–1.60 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 37–47°. There are a spread of P–O bond distances ranging from 1.48–1.62 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 38–51°. There are a spread of P–O bond distances ranging from 1.49–1.61 Å. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 41–45°. There are a spread of P–O bond distances ranging from 1.49–1.62 Å. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 39–46°. There are a spread of P–O bond distances ranging from 1.50–1.60 Å. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 38–46°. There are a spread of P–O bond distances ranging from 1.49–1.63 Å. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra and a cornercorner with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 27–34°. There are a spread of P–O bond distances ranging from 1.48–1.61 Å. In the thirteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 28–31°. There are a spread of P–O bond distances ranging from 1.47–1.62 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 LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 43–49°. There are a spread of P–O bond distances ranging from 1.50–1.62 Å. In the fifteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 37–48°. 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 a cornercorner with one LiO6 octahedra, corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 40–43°. There are a spread of P–O bond distances ranging from 1.49–1.62 Å. There are fifty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a 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 3-coordinate geometry to two Li1+ and one P5+ atom. In the fourth O2- site, O2- is bonded in a bent 150 degrees geometry to one 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 3-coordinate geometry to two Li1+ and one P5+ atom. In the ninth O2- site, O2- is bonded in a bent 150 degrees geometry to one 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 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 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 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 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 150 degrees geometry to two P5+ atoms. In the twentieth O2- site, O2- is bonded in a bent 120 degrees geometry to one 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 distorted trigonal planar geometry to one Li1+, one V+4.33+, and one P5+ atom. In the twenty-third O2

36 MATERIALS SCIENCE↗

Materials Data on KNaMg3Zn2(Si2O5)6 by Materials Project

KNaMg3Zn2(Si2O5)6 crystallizes in the monoclinic C2 space group. The structure is three-dimensional. there are two inequivalent K1+ sites. In the first K1+ site, K1+ is bonded in a 12-coordinate geometry to twelve O2- atoms. There are a spread of K–O bond distances ranging from 3.07–3.09 Å. In the second K1+ site, K1+ is bonded in a 12-coordinate geometry to twelve O2- atoms. There are six shorter (3.07 Å) and six longer (3.08 Å) K–O bond lengths. Na1+ is bonded in a distorted trigonal planar geometry to three O2- atoms. All Na–O bond lengths are 2.48 Å. There are three inequivalent Mg2+ sites. In the first Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six SiO4 tetrahedra, an edgeedge with one ZnO4 tetrahedra, and edges with two equivalent MgO4 tetrahedra. There are a spread of Mg–O bond distances ranging from 2.08–2.15 Å. In the second Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six SiO4 tetrahedra and edges with three ZnO4 tetrahedra. There are three shorter (2.08 Å) and three longer (2.14 Å) Mg–O bond lengths. In the third Mg2+ site, Mg2+ is bonded to four O2- atoms to form distorted MgO4 tetrahedra that share corners with four SiO4 tetrahedra and edges with two equivalent MgO6 octahedra. There is two shorter (1.96 Å) and two longer (1.98 Å) Mg–O bond length. There are three inequivalent Zn2+ sites. In the first Zn2+ site, Zn2+ is bonded to four O2- atoms to form distorted ZnO4 tetrahedra that share corners with four SiO4 tetrahedra and edges with two equivalent MgO6 octahedra. There is two shorter (1.97 Å) and two longer (2.00 Å) Zn–O bond length. In the second Zn2+ site, Zn2+ is bonded to four O2- atoms to form distorted ZnO4 tetrahedra that share corners with four SiO4 tetrahedra and edges with two equivalent MgO6 octahedra. There is two shorter (1.97 Å) and two longer (2.00 Å) Zn–O bond length. In the third Zn2+ site, Zn2+ is bonded to four O2- atoms to form distorted ZnO4 tetrahedra that share corners with four SiO4 tetrahedra and edges with two equivalent MgO6 octahedra. There is two shorter (1.97 Å) and two longer (2.00 Å) Zn–O bond length. There are twelve inequivalent Si4+ sites. In the first Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one MgO6 octahedra, a cornercorner with one MgO4 tetrahedra, and corners with three SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 39°. There are a spread of Si–O bond distances ranging from 1.60–1.65 Å. In the second Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one MgO6 octahedra, a cornercorner with one MgO4 tetrahedra, and corners with three SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 39°. There are a spread of Si–O bond distances ranging from 1.60–1.65 Å. In the third Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one MgO6 octahedra, a cornercorner with one ZnO4 tetrahedra, and corners with three SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 38°. There are a spread of Si–O bond distances ranging from 1.61–1.65 Å. In the fourth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one MgO6 octahedra, a cornercorner with one ZnO4 tetrahedra, and corners with three SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 38°. There are a spread of Si–O bond distances ranging from 1.61–1.65 Å. In the fifth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one MgO6 octahedra, a cornercorner with one ZnO4 tetrahedra, and corners with three SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 38°. There are a spread of Si–O bond distances ranging from 1.61–1.65 Å. In the sixth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one MgO6 octahedra, a cornercorner with one ZnO4 tetrahedra, and corners with three SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 38°. There are a spread of Si–O bond distances ranging from 1.61–1.65 Å. In the seventh Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one MgO6 octahedra, a cornercorner with one ZnO4 tetrahedra, and corners with three SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 38°. There are a spread of Si–O bond distances ranging from 1.61–1.65 Å. In the eighth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one MgO6 octahedra, a cornercorner with one ZnO4 tetrahedra, and corners with three SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 38°. There are a spread of Si–O bond distances ranging from 1.61–1.65 Å. In the ninth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one MgO6 octahedra, a cornercorner with one ZnO4 tetrahedra, and corners with three SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 38°. There are a spread of Si–O bond distances ranging from 1.61–1.65 Å. In the tenth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one MgO6 octahedra, a cornercorner with one MgO4 tetrahedra, and corners with three SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 38°. There are a spread of Si–O bond distances ranging from 1.60–1.66 Å. In the eleventh Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one MgO6 octahedra, a cornercorner with one MgO4 tetrahedra, and corners with three SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 38°. There are a spread of Si–O bond distances ranging from 1.60–1.65 Å. In the twelfth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one MgO6 octahedra, a cornercorner with one ZnO4 tetrahedra, and corners with three SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 38°. There are a spread of Si–O bond distances ranging from 1.61–1.66 Å. There are twenty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a 2-coordinate geometry to one Na1+ and two Si4+ atoms. In the second O2- site, O2- is bonded in a 2-coordinate geometry to one Na1+ and two Si4+ atoms. In the third O2- site, O2- is bonded in a 2-coordinate geometry to one Na1+ and two Si4+ atoms. In the fourth O2- site, O2- is bonded in a bent 150 degrees geometry to one K1+ and two Si4+ atoms. In the fifth O2- site, O2- is bonded in a bent 150 degrees geometry to one K1+ and two Si4+ atoms. In the sixth O2- site, O2- is bonded in a bent 150 degrees geometry to one K1+ and two Si4+ atoms. In the seventh O2- site, O2- is bonded in a bent 150 degrees geometry to one K1+ and two Si4+ atoms. In the eighth O2- site, O2- is bonded in a bent 150 degrees geometry to one K1+ and two Si4+ atoms. In the ninth O2- site, O2- is bonded in a bent 150 degrees geometry to one K1+ and two Si4+ atoms. In the tenth O2- site, O2- is bonded in a bent 150 degrees geometry to one K1+ and two Si4+ atoms. In the eleventh O2- site, O2- is bonded in a bent 150 degrees geometry to one K1+ and two Si4+ atoms. In the twelfth O2- site, O2- is bonded in a bent 150 degrees geometry to one K1+ and two Si4+ atoms. In the thirteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one K1+ and two Si4+ atoms. In the fourteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one K1+ and two Si4+ atoms. In the fifteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one K1+ and two Si4+ atoms. In the sixteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mg2+ and one Si4+ atom. In the seventeenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mg2+ and one Si4+ atom. In the eighteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Mg2+, one Zn2+, and one Si4+ atom. In the nineteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Mg2+, one Zn2+, and one Si4+ atom. In the twentieth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Mg2+, one Zn2+, and one Si4+ atom. In the twenty-first O2- site, O2- is bonded in a distorted trigonal planar geometry to one Mg2+, one Zn2+, and one Si4+ atom. In the twenty-second O2- site, O2- is bonded in a 3-coordinate geometry to one Mg2+, one Zn2+, and one Si4+ atom. In the twenty-third O2- site, O2- is bonded in a 3-coordinate geometry to two Mg2+ and one Si4+ atom. In the twenty-fourth O2- site, O2- is bonded in a 3-coordinate geometry to two Mg2+ and one Si4+ atom. In the twenty-fifth O2- site, O2- is bonded in a 3-coordinate geometry to one Mg2+, one Zn2+, and one Si4+ atom. In the twenty-sixth O2- site, O2- is bonded in a bent 150 degrees geometry to two Si4+ atoms. In the twenty-seventh O2- site, O2- is bonded in a bent 150 degrees geometry to two Si4+ atoms. In the twenty-eighth O2- site, O2- is bonded in a bent 150 degrees geometry to two Si4+ atoms.

36 MATERIALS SCIENCE↗