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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 in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 2.00–2.68 Å. In the second Li1+ site, Li1+ is bonded in a distorted see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.97–2.13 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three VO6 octahedra and corners with four PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 66–72°. There are a spread of Li–O bond distances ranging from 1.91–2.25 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four PO4 tetrahedra and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 2.00–2.24 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 1.99–2.15 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 2.01–2.20 Å. In the seventh Li1+ site, Li1+ is bonded in a distorted see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.96–2.12 Å. In the eighth Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.98–2.65 Å. In the ninth Li1+ site, Li1+ is bonded in a distorted see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.92–2.13 Å. In the tenth Li1+ site, Li1+ is bonded in a distorted see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 2.02–2.15 Å. In the eleventh 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 1.99–2.19 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 1.97–2.11 Å. In the thirteenth Li1+ site, Li1+ is bonded in a 2-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 1.95–2.86 Å. In the fourteenth 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 2.24–2.48 Å. There are six inequivalent V+3.67+ sites. In the first V+3.67+ site, V+3.67+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.90–2.04 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 and corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 2.00–2.07 Å. In the third V+3.67+ site, V+3.67+ is bonded to six O2- atoms to form VO6 octahedra that share a cornercorner with one LiO4 tetrahedra and corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.87–2.03 Å. In the fourth V+3.67+ site, V+3.67+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.90–2.00 Å. In the fifth V+3.67+ site, V+3.67+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.91–2.01 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 and corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.97–2.07 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 48–50°. There are a spread of P–O bond distances ranging from 1.51–1.62 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 40–47°. There are a spread of P–O bond distances ranging from 1.52–1.61 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 38–46°. 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 three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 30–39°. 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. The corner-sharing octahedra tilt angles range from 35–40°. 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 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 seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 43–49°. There are a spread of P–O bond distances ranging from 1.51–1.62 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 46–50°. There are a spread of P–O bond distances ranging from 1.52–1.61 Å. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 38–43°. There are a spread of P–O bond distances ranging from 1.50–1.63 Å. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 42–46°. There are a spread of P–O bond distances ranging from 1.51–1.61 Å. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share 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 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 36–37°. There are a spread of P–O bond distances ranging from 1.49–1.59 Å. In the thirteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 32–38°. There are a spread of P–O bond distances ranging from 1.50–1.61 Å. In the fourteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 43–47°. There are a spread of P–O bond distances ranging from 1.52–1.61 Å. In the fifteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 41–47°. There is three shorter (1.53 Å) and one longer (1.62 Å) P–O bond length. 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 41–44°. There are a spread of P–O bond distances ranging from 1.51–1.62 Å. There are fifty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded to three Li1+ and one P5+ atom to form distorted corner-sharing OLi3P trigonal pyramids. 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 T-shaped 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 bent 150 degrees geometry to one V+3.67+ and one P5+ atom. In the eighth O2- site, O2- is bonded in a 3-coordinate geometry to three Li1+ and one P5+ atom. In the ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+3.67+, and one P5+ atom. In the tenth O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one V+3.67+, and one P5+ atom. In the eleventh O2- site, O2- is bonded in a bent 150 degrees geometry to one V+3.67+ and one P5+ atom. In the twelfth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+3.67+, and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a linear geometry to one Li1+ and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a distorted single-bond 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 bent 150 degrees geometry to two P5+ atoms. In the twentieth O2- site, O2- is bonded to three Li1+ and one P5+ atom to form distorted corner-sharing OLi3P trigonal pyramids. In the twenty-first O2- site, O2- is bonded in a 3-coordinate geometry to three Li1+ and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+3.67+, 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+3.67+, and one P5+ atom. In the twenty-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 twenty-fifth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one V+3.67+ and one P5+ atom. In the twenty-sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+3.67+,

36 MATERIALS SCIENCE↗

Materials Data on Li2TiCo3O8 by Materials Project

Li2TiCo3O8 is Spinel-derived structured and crystallizes in the triclinic P1 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 LiO4 tetrahedra that share corners with three TiO6 octahedra and corners with nine CoO6 octahedra. The corner-sharing octahedra tilt angles range from 55–65°. There are a spread of Li–O bond distances ranging from 1.97–2.01 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three TiO6 octahedra and corners with nine CoO6 octahedra. The corner-sharing octahedra tilt angles range from 54–64°. There are a spread of Li–O bond distances ranging from 1.95–2.01 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three TiO6 octahedra and corners with nine CoO6 octahedra. The corner-sharing octahedra tilt angles range from 52–67°. There are a spread of Li–O bond distances ranging from 1.96–2.02 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three TiO6 octahedra and corners with nine CoO6 octahedra. The corner-sharing octahedra tilt angles range from 53–67°. There are a spread of Li–O bond distances ranging from 1.96–2.02 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three TiO6 octahedra and corners with nine CoO6 octahedra. The corner-sharing octahedra tilt angles range from 52–67°. There are a spread of Li–O bond distances ranging from 1.94–2.03 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three TiO6 octahedra and corners with nine CoO6 octahedra. The corner-sharing octahedra tilt angles range from 54–66°. There are a spread of Li–O bond distances ranging from 1.98–2.03 Å. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three TiO6 octahedra and corners with nine CoO6 octahedra. The corner-sharing octahedra tilt angles range from 55–65°. There are a spread of Li–O bond distances ranging from 1.97–2.02 Å. In the eighth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three TiO6 octahedra and corners with nine CoO6 octahedra. The corner-sharing octahedra tilt angles range from 54–67°. There are a spread of Li–O bond distances ranging from 1.98–2.01 Å. There are four inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six LiO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.92–2.06 Å. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six LiO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.91–2.14 Å. In the third Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six LiO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.90–2.14 Å. In the fourth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six LiO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.94–2.03 Å. There are twelve inequivalent Co+3.33+ sites. In the first Co+3.33+ site, Co+3.33+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO4 tetrahedra, edges with two TiO6 octahedra, and edges with four CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.95–2.09 Å. In the second Co+3.33+ site, Co+3.33+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO4 tetrahedra, edges with two TiO6 octahedra, and edges with four CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.93–2.11 Å. In the third Co+3.33+ site, Co+3.33+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO4 tetrahedra, edges with two TiO6 octahedra, and edges with four CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.88–1.92 Å. In the fourth Co+3.33+ site, Co+3.33+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO4 tetrahedra, edges with two TiO6 octahedra, and edges with four CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.83–2.12 Å. In the fifth Co+3.33+ site, Co+3.33+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO4 tetrahedra, edges with two TiO6 octahedra, and edges with four CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.88–2.12 Å. In the sixth Co+3.33+ site, Co+3.33+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO4 tetrahedra, edges with two TiO6 octahedra, and edges with four CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.93–2.13 Å. In the seventh Co+3.33+ site, Co+3.33+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO4 tetrahedra, edges with two TiO6 octahedra, and edges with four CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.96–2.10 Å. In the eighth Co+3.33+ site, Co+3.33+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO4 tetrahedra, edges with two TiO6 octahedra, and edges with four CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.91–2.12 Å. In the ninth Co+3.33+ site, Co+3.33+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO4 tetrahedra, edges with two TiO6 octahedra, and edges with four CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.81–2.05 Å. In the tenth Co+3.33+ site, Co+3.33+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO4 tetrahedra, edges with two TiO6 octahedra, and edges with four CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.87–1.95 Å. In the eleventh Co+3.33+ site, Co+3.33+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO4 tetrahedra, edges with two TiO6 octahedra, and edges with four CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.96–2.08 Å. In the twelfth Co+3.33+ site, Co+3.33+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO4 tetrahedra, edges with two TiO6 octahedra, and edges with four CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.92–2.11 Å. There are thirty-two inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Ti4+, and two Co+3.33+ atoms. In the second O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Ti4+, and two Co+3.33+ atoms. In the third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Co+3.33+ atoms. In the fourth O2- site, O2- is bonded to one Li1+, one Ti4+, and two Co+3.33+ atoms to form distorted OLiTiCo2 trigonal pyramids that share corners with two OLiTiCo2 trigonal pyramids and an edgeedge with one OLiCo3 tetrahedra. In the fifth O2- site, O2- is bonded to one Li1+, one Ti4+, and two Co+3.33+ atoms to form distorted OLiTiCo2 trigonal pyramids that share corners with two OLiCo3 tetrahedra and corners with three OLiTiCo2 trigonal pyramids. In the sixth O2- site, O2- is bonded to one Li1+ and three Co+3.33+ atoms to form a mixture of distorted edge and corner-sharing OLiCo3 tetrahedra. In the seventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Ti4+, and two Co+3.33+ atoms. In the eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Ti4+, and two Co+3.33+ atoms. In the ninth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Ti4+, and two Co+3.33+ atoms. In the tenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Ti4+, and two Co+3.33+ atoms. In the eleventh O2- site, O2- is bonded to one Li1+ and three Co+3.33+ atoms to form distorted corner-sharing OLiCo3 tetrahedra. In the twelfth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Ti4+, and two Co+3.33+ atoms. In the thirteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Ti4+, and two Co+3.33+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Co+3.33+ atoms. In the fifteenth O2- site, O2- is bonded to one Li1+, one Ti4+, and two Co+3.33+ atoms to form distorted OLiTiCo2 trigonal pyramids that share corners with two OLiCo3 tetrahedra and corners with two OLiTiCo2 trigonal pyramids. In the sixteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Ti4+, and two Co+3.33+ atoms. In the seventeenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Ti4+, and two Co+3.33+ atoms. In the eighteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Ti4+, and two Co+3.33+ atoms. In the nineteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Co+3.33+ atoms. In the twentieth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Ti4+, and two Co+3.33+ atoms. In the twenty-first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Ti4+, and two Co+3.33+ atoms. In the twenty-second O2- site, O2- is bonded to one Li1+ and three Co+3.33+ atoms to form a mixture of distorted edge and corner-sharing OLiCo3 tetrahedra. In the twenty-third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Ti4+, and two Co+3.33+ atoms. In the twenty-fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Ti4+, and two Co+3.33+ atoms. In the twenty-fifth O2- site, O2- is bonded to one Li1+, one Ti4+, and two Co+3.33+ atoms to form distorted OLiTiCo2 trigonal pyramids that share a cornercorner with one OLiCo3 tetrahedra, corners with two OLiTiCo2 trigonal pyramids, and an edgeedge with one OLiCo3 tetrahedra. In the twenty-sixth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Ti4+, and two Co+3.33+ atoms. In the twenty-seventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Co+3.33+ atoms. In the twenty-eighth O2- site, O2- is bonded to one Li1+, one Ti4+, and two Co+3.33+ atoms to form distorted OLiTiCo2 trigonal pyramids that share a cornercorner with one OLiCo3 tetrahedra and a cornercorner with one OLiTiCo2 trigonal pyramid. In the twenty-ninth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Ti4+, and two Co+3.33+ atoms. In the thirtieth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Co+3.33+ atoms. In the thirty-first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Ti4+, and two Co+3.33+ atoms. In the thirty-second O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Ti4+, and two Co+3.33+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on NaMn8O16 by Materials Project

NaMn8O16 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are two inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded in a square co-planar geometry to four O2- atoms. There are a spread of Na–O bond distances ranging from 2.52–2.56 Å. In the second Na1+ site, Na1+ is bonded in a square co-planar geometry to four O2- atoms. There are a spread of Na–O bond distances ranging from 2.50–2.57 Å. There are sixteen inequivalent Mn+3.88+ sites. In the first Mn+3.88+ site, Mn+3.88+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 50–51°. There are a spread of Mn–O bond distances ranging from 1.92–1.97 Å. In the second Mn+3.88+ site, Mn+3.88+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 50–51°. There are a spread of Mn–O bond distances ranging from 1.92–1.98 Å. In the third Mn+3.88+ site, Mn+3.88+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 50–51°. There are a spread of Mn–O bond distances ranging from 1.92–2.00 Å. In the fourth Mn+3.88+ site, Mn+3.88+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 50–51°. There are a spread of Mn–O bond distances ranging from 1.92–1.99 Å. In the fifth Mn+3.88+ site, Mn+3.88+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 49–51°. There are a spread of Mn–O bond distances ranging from 1.92–1.97 Å. In the sixth Mn+3.88+ site, Mn+3.88+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 49–52°. There are a spread of Mn–O bond distances ranging from 1.91–1.97 Å. In the seventh Mn+3.88+ site, Mn+3.88+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 50–52°. There are a spread of Mn–O bond distances ranging from 1.93–2.09 Å. In the eighth Mn+3.88+ site, Mn+3.88+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 49–50°. There are a spread of Mn–O bond distances ranging from 1.92–2.00 Å. In the ninth Mn+3.88+ site, Mn+3.88+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 50–51°. There are a spread of Mn–O bond distances ranging from 1.93–1.98 Å. In the tenth Mn+3.88+ site, Mn+3.88+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 49–51°. There are a spread of Mn–O bond distances ranging from 1.92–1.98 Å. In the eleventh Mn+3.88+ site, Mn+3.88+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 49–51°. There are a spread of Mn–O bond distances ranging from 1.91–1.98 Å. In the twelfth Mn+3.88+ site, Mn+3.88+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 50–51°. There are a spread of Mn–O bond distances ranging from 1.92–2.00 Å. In the thirteenth Mn+3.88+ site, Mn+3.88+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 49–52°. There are a spread of Mn–O bond distances ranging from 1.92–1.97 Å. In the fourteenth Mn+3.88+ site, Mn+3.88+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 50–51°. There are a spread of Mn–O bond distances ranging from 1.92–1.97 Å. In the fifteenth Mn+3.88+ site, Mn+3.88+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 50–52°. There are a spread of Mn–O bond distances ranging from 1.92–2.04 Å. In the sixteenth Mn+3.88+ site, Mn+3.88+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 49–50°. There are a spread of Mn–O bond distances ranging from 1.91–1.99 Å. There are thirty-two inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.88+ atoms. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.88+ atoms. In the third O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.88+ atoms. In the fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.88+ atoms. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.88+ atoms. In the sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.88+ atoms. In the seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.88+ atoms. In the eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.88+ atoms. In the ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.88+ atoms. In the tenth O2- site, O2- is bonded in a trigonal planar geometry to three Mn+3.88+ atoms. In the eleventh O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.88+ atoms. In the twelfth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.88+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.88+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.88+ atoms. In the fifteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.88+ atoms. In the sixteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.88+ atoms. In the seventeenth O2- site, O2- is bonded to one Na1+ and three Mn+3.88+ atoms to form a mixture of distorted edge and corner-sharing ONaMn3 tetrahedra. In the eighteenth O2- site, O2- is bonded in a 3-coordinate geometry to three Mn+3.88+ atoms. In the nineteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Mn+3.88+ atoms. In the twentieth O2- site, O2- is bonded in a 4-coordinate geometry to one Na1+ and three Mn+3.88+ atoms. In the twenty-first O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Mn+3.88+ atoms. In the twenty-second O2- site, O2- is bonded to one Na1+ and three Mn+3.88+ atoms to form a mixture of distorted edge and corner-sharing ONaMn3 tetrahedra. In the twenty-third O2- site, O2- is bonded in a 4-coordinate geometry to one Na1+ and three Mn+3.88+ atoms. In the twenty-fourth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Mn+3.88+ atoms. In the twenty-fifth O2- site, O2- is bonded in a 3-coordinate geometry to three Mn+3.88+ atoms. In the twenty-sixth O2- site, O2- is bonded to one Na1+ and three Mn+3.88+ atoms to form a mixture of distorted edge and corner-sharing ONaMn3 tetrahedra. In the twenty-seventh O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Mn+3.88+ atoms. In the twenty-eighth O2- site, O2- is bonded in a 4-coordinate geometry to one Na1+ and three Mn+3.88+ atoms. In the twenty-ninth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Mn+3.88+ atoms. In the thirtieth O2- site, O2- is bonded to one Na1+ and three Mn+3.88+ atoms to form a mixture of distorted edge and corner-sharing ONaMn3 tetrahedra. In the thirty-first O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Mn+3.88+ atoms. In the thirty-second O2- site, O2- is bonded to one Na1+ and three Mn+3.88+ atoms to form distorted corner-sharing ONaMn3 tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on Li2CrCo3O8 by Materials Project

Li2CrCo3O8 is Spinel-derived structured and crystallizes in the triclinic P1 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 LiO4 tetrahedra that share corners with three CrO6 octahedra and corners with nine CoO6 octahedra. The corner-sharing octahedra tilt angles range from 55–66°. There are a spread of Li–O bond distances ranging from 1.94–1.98 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three CrO6 octahedra and corners with nine CoO6 octahedra. The corner-sharing octahedra tilt angles range from 56–64°. There are a spread of Li–O bond distances ranging from 1.94–1.99 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three CrO6 octahedra and corners with nine CoO6 octahedra. The corner-sharing octahedra tilt angles range from 56–64°. There are a spread of Li–O bond distances ranging from 1.94–1.98 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three CrO6 octahedra and corners with nine CoO6 octahedra. The corner-sharing octahedra tilt angles range from 56–65°. There are a spread of Li–O bond distances ranging from 1.94–1.99 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three CrO6 octahedra and corners with nine CoO6 octahedra. The corner-sharing octahedra tilt angles range from 55–65°. There is two shorter (1.95 Å) and two longer (1.96 Å) Li–O bond length. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three CrO6 octahedra and corners with nine CoO6 octahedra. The corner-sharing octahedra tilt angles range from 55–64°. There are a spread of Li–O bond distances ranging from 1.95–1.99 Å. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three CrO6 octahedra and corners with nine CoO6 octahedra. The corner-sharing octahedra tilt angles range from 55–64°. There are a spread of Li–O bond distances ranging from 1.94–1.98 Å. In the eighth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three CrO6 octahedra and corners with nine CoO6 octahedra. The corner-sharing octahedra tilt angles range from 54–65°. There are a spread of Li–O bond distances ranging from 1.94–1.99 Å. There are four inequivalent Cr6+ sites. In the first Cr6+ site, Cr6+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Cr–O bond distances ranging from 1.98–2.05 Å. In the second Cr6+ site, Cr6+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Cr–O bond distances ranging from 1.89–1.98 Å. In the third Cr6+ site, Cr6+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Cr–O bond distances ranging from 2.00–2.02 Å. In the fourth Cr6+ site, Cr6+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Cr–O bond distances ranging from 2.00–2.02 Å. There are twelve inequivalent Co+2.67+ sites. In the first Co+2.67+ site, Co+2.67+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CrO6 octahedra, and edges with four CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.91–1.96 Å. In the second Co+2.67+ site, Co+2.67+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CrO6 octahedra, and edges with four CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.92–1.94 Å. In the third Co+2.67+ site, Co+2.67+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CrO6 octahedra, and edges with four CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.86–1.92 Å. In the fourth Co+2.67+ site, Co+2.67+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CrO6 octahedra, and edges with four CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.88–1.92 Å. In the fifth Co+2.67+ site, Co+2.67+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CrO6 octahedra, and edges with four CoO6 octahedra. There is five shorter (1.92 Å) and one longer (1.93 Å) Co–O bond length. In the sixth Co+2.67+ site, Co+2.67+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CrO6 octahedra, and edges with four CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.86–1.95 Å. In the seventh Co+2.67+ site, Co+2.67+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CrO6 octahedra, and edges with four CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.87–1.92 Å. In the eighth Co+2.67+ site, Co+2.67+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CrO6 octahedra, and edges with four CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.88–1.92 Å. In the ninth Co+2.67+ site, Co+2.67+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CrO6 octahedra, and edges with four CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.91–1.95 Å. In the tenth Co+2.67+ site, Co+2.67+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CrO6 octahedra, and edges with four CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.91–1.95 Å. In the eleventh Co+2.67+ site, Co+2.67+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CrO6 octahedra, and edges with four CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.89–1.92 Å. In the twelfth Co+2.67+ site, Co+2.67+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CrO6 octahedra, and edges with four CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.89–1.91 Å. There are thirty-two inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Cr6+, and two Co+2.67+ atoms. In the second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Cr6+, and two Co+2.67+ atoms. In the third O2- site, O2- is bonded to one Li1+ and three Co+2.67+ atoms to form distorted corner-sharing OLiCo3 trigonal pyramids. In the fourth O2- site, O2- is bonded to one Li1+, one Cr6+, and two Co+2.67+ atoms to form distorted OLiCrCo2 trigonal pyramids that share corners with three OLiCrCo2 tetrahedra, corners with four OLiCrCo2 trigonal pyramids, an edgeedge with one OLiCo3 tetrahedra, and edges with two OLiCrCo2 trigonal pyramids. In the fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Cr6+, and two Co+2.67+ atoms. In the sixth O2- site, O2- is bonded to one Li1+ and three Co+2.67+ atoms to form distorted OLiCo3 tetrahedra that share corners with three OLiCo3 trigonal pyramids and edges with three OLiCrCo2 trigonal pyramids. In the seventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Cr6+, and two Co+2.67+ atoms. In the eighth O2- site, O2- is bonded to one Li1+, one Cr6+, and two Co+2.67+ atoms to form distorted OLiCrCo2 trigonal pyramids that share corners with three OLiCrCo2 tetrahedra, corners with three OLiCrCo2 trigonal pyramids, and an edgeedge with one OLiCo3 trigonal pyramid. In the ninth O2- site, O2- is bonded to one Li1+, one Cr6+, and two Co+2.67+ atoms to form distorted OLiCrCo2 trigonal pyramids that share corners with two OLiCrCo2 tetrahedra, corners with four OLiCo3 trigonal pyramids, an edgeedge with one OLiCo3 tetrahedra, and edges with two OLiCrCo2 trigonal pyramids. In the tenth O2- site, O2- is bonded to one Li1+, one Cr6+, and two Co+2.67+ atoms to form distorted OLiCrCo2 trigonal pyramids that share corners with two OLiCrCo2 tetrahedra, corners with four OLiCo3 trigonal pyramids, an edgeedge with one OLiCo3 tetrahedra, and edges with two OLiCrCo2 trigonal pyramids. In the eleventh O2- site, O2- is bonded to one Li1+ and three Co+2.67+ atoms to form a mixture of distorted edge and corner-sharing OLiCo3 trigonal pyramids. In the twelfth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Cr6+, and two Co+2.67+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Cr6+, and two Co+2.67+ atoms. In the fourteenth O2- site, O2- is bonded to one Li1+ and three Co+2.67+ atoms to form distorted OLiCo3 trigonal pyramids that share a cornercorner with one OLiCo3 tetrahedra and corners with five OLiCrCo2 trigonal pyramids. In the fifteenth O2- site, O2- is bonded to one Li1+, one Cr6+, and two Co+2.67+ atoms to form distorted OLiCrCo2 trigonal pyramids that share corners with seven OLiCrCo2 trigonal pyramids and edges with three OLiCo3 tetrahedra. In the sixteenth O2- site, O2- is bonded to one Li1+, one Cr6+, and two Co+2.67+ atoms to form distorted OLiCrCo2 tetrahedra that share a cornercorner with one OLiCo3 tetrahedra, corners with six OLiCrCo2 trigonal pyramids, edges with two OLiCo3 tetrahedra, and an edgeedge with one OLiCrCo2 trigonal pyramid. In the seventeenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Cr6+, and two Co+2.67+ atoms. In the eighteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Cr6+, and two Co+2.67+ atoms. In the nineteenth O2- site, O2- is bonded to one Li1+ and three Co+2.67+ atoms to form distorted OLiCo3 tetrahedra that share a cornercorner with one OLiCo3 tetrahedra, corners with three OLiCo3 trigonal pyramids, edges with two OLiCrCo2 tetrahedra, and an edgeedge with one OLiCrCo2 trigonal pyramid. In the twentieth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Cr6+, and two Co+2.67+ atoms. In the twenty-first O2- site, O2- is bonded to one Li1+, one Cr6+, and two Co+2.67+ atoms to form distorted OLiCrCo2 tetrahedra that share a cornercorner with one OLiCo3 tetrahedra, corners with five OLiCrCo2 trigonal pyramids, edges with two OLiCo3 tetrahedra, and an edgeedge with one OLiCrCo2 trigonal pyramid. In the twenty-second O2- site, O2- is bonded to one Li1+ and three Co+2.67+ atoms to form distorted OLiCo3 trigonal pyramids that share corners with two OLiCo3 tetrahedra and corners with four OLiCrCo2 trigonal pyramids. In the twenty-third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Cr6+, and two Co+2.67+ atoms. In the twenty-fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Cr6+, and two Co+2.67+ atoms. In the twenty-fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Cr6+, and two Co+2.67+ atoms. In the twenty-sixth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Cr6+, and two Co+2.67+ atoms. In the twenty-seventh O2- site, O2- is bonded to one Li1+ and three Co+2.67+ atoms to form distorted OLiCo3 tetrahedra that share corner

36 MATERIALS SCIENCE↗

Materials Data on Li6V3P8O29 by Materials Project

Li6V3P8O29 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twelve inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a distorted see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 2.01–2.16 Å. In the second Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.95–2.16 Å. In the third Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 2.00–2.14 Å. In the fourth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 2.00–2.18 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 1.99–2.20 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 2.01–2.17 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 1.95–2.17 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 1.99–2.14 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 1.99–2.19 Å. In the tenth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four PO4 tetrahedra and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.99–2.19 Å. In the eleventh Li1+ site, Li1+ is bonded in a 3-coordinate geometry to three O2- atoms. There are a spread of Li–O bond distances ranging from 1.97–2.09 Å. In the twelfth Li1+ site, Li1+ is bonded in a 3-coordinate geometry to three O2- atoms. There are a spread of Li–O bond distances ranging from 1.97–2.10 Å. There are six inequivalent V4+ sites. In the first V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.86–2.01 Å. In the second V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.91–1.99 Å. In the third V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.91–1.98 Å. In the fourth V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.90–2.04 Å. In the fifth V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.85–2.01 Å. In the sixth V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.91–1.98 Å. There are sixteen inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 39–46°. There are a spread of P–O bond distances ranging from 1.50–1.62 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 40–46°. There are a spread of P–O bond distances ranging from 1.51–1.61 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 40–43°. 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. The corner-sharing octahedra tilt angles range from 34–38°. There are a spread of P–O bond distances ranging from 1.49–1.58 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra and a cornercorner with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 38–39°. There are a spread of P–O bond distances ranging from 1.49–1.58 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 40–45°. There are a spread of P–O bond distances ranging from 1.51–1.60 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra 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 1.50–1.62 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 39–47°. There are a spread of P–O bond distances ranging from 1.51–1.62 Å. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 40–45°. There are a spread of P–O bond distances ranging from 1.51–1.62 Å. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 41–48°. There are a spread of P–O bond distances ranging from 1.52–1.61 Å. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra 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 1.52–1.62 Å. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 34–37°. There are a spread of P–O bond distances ranging from 1.49–1.59 Å. In the thirteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra and a cornercorner with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 38–39°. There are a spread of P–O bond distances ranging from 1.49–1.58 Å. In the fourteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 40–45°. There are a spread of P–O bond distances ranging from 1.51–1.60 Å. In the fifteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 40–46°. There are a spread of P–O bond distances ranging from 1.51–1.62 Å. In the sixteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 42–48°. There are a spread of P–O bond distances ranging from 1.52–1.61 Å. There are fifty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal planar geometry to two Li1+ and one P5+ atom. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V4+, and one P5+ atom. In the third O2- site, O2- is bonded in a 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 V4+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a bent 150 degrees geometry to one V4+ and one P5+ atom. In the sixth O2- site, O2- is bonded in a bent 150 degrees geometry to one V4+ and one P5+ atom. In the seventh O2- site, O2- is bonded in a bent 150 degrees geometry to one V4+ and one P5+ atom. In the eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Li1+ and one P5+ atom. In the ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V4+, and one P5+ atom. In the tenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one V4+, and one P5+ atom. In the eleventh O2- site, O2- is bonded in a bent 150 degrees geometry to one V4+ and one P5+ atom. In the twelfth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one V4+, and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a single-bond geometry to one P5+ atom. In the fourteenth O2- site, O2- is bonded in a single-bond geometry to one P5+ atom. In the fifteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one V4+, and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one V4+ and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one V4+, and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one V4+ and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two P5+ atoms. In the twentieth O2- site, O2- is bonded in a distorted T-shaped geometry to two Li1+ and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a distorted trigonal planar geometry to two Li1+ and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a bent 150 degrees geometry to one V4+ and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one V4+, and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V4+, and one P5+ atom. In the twenty-fifth O2- site, O2- is bonded in a bent 150 degrees geometry to one V4+ and one P5+ atom. In the twenty-sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V4+, and one P5+ atom. In the twenty-seventh O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two P5+ atoms. In the twenty-eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Li1+ and one P5+ atom. In the twenty-ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Li1+ and one P5+ atom. In the thirtieth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V4+, and one P5+ atom. In the thirty-first O2- site, O2- is bonded in a bent 150 degrees geometry to one V4+ and one P5+ atom. In the thirty-second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V4+, and one P5+ atom. In the thirty-third O2- site, O2- is bonded in a bent 1

36 MATERIALS SCIENCE↗

Materials Data on K7Mo12H31Pt2O59 by Materials Project

K7Mo12Pt2H31O59 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are seven inequivalent K sites. In the first K site, K is bonded in a 7-coordinate geometry to seven O atoms. There are a spread of K–O bond distances ranging from 2.78–3.13 Å. In the second K site, K is bonded in a 7-coordinate geometry to seven O atoms. There are a spread of K–O bond distances ranging from 2.76–3.14 Å. In the third K site, K is bonded in a 7-coordinate geometry to seven O atoms. There are a spread of K–O bond distances ranging from 2.78–3.02 Å. In the fourth K site, K is bonded in a 8-coordinate geometry to one H and seven O atoms. The K–H bond length is 2.92 Å. There are a spread of K–O bond distances ranging from 2.73–2.97 Å. In the fifth K site, K is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of K–O bond distances ranging from 2.69–3.41 Å. In the sixth K site, K is bonded in a 7-coordinate geometry to seven O atoms. There are a spread of K–O bond distances ranging from 2.69–3.18 Å. In the seventh K site, K is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of K–O bond distances ranging from 2.61–3.32 Å. There are twelve inequivalent Mo sites. In the first Mo site, Mo is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Mo–O bond distances ranging from 1.73–2.41 Å. In the second Mo site, Mo is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Mo–O bond distances ranging from 1.73–2.35 Å. In the third Mo site, Mo is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Mo–O bond distances ranging from 1.73–2.37 Å. In the fourth Mo site, Mo is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Mo–O bond distances ranging from 1.74–2.27 Å. In the fifth Mo site, Mo is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Mo–O bond distances ranging from 1.74–2.31 Å. In the sixth Mo site, Mo is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Mo–O bond distances ranging from 1.75–2.31 Å. In the seventh Mo site, Mo is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Mo–O bond distances ranging from 1.75–2.33 Å. In the eighth Mo site, Mo is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Mo–O bond distances ranging from 1.75–2.32 Å. In the ninth Mo site, Mo is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Mo–O bond distances ranging from 1.73–2.37 Å. In the tenth Mo site, Mo is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Mo–O bond distances ranging from 1.73–2.38 Å. In the eleventh Mo site, Mo is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Mo–O bond distances ranging from 1.74–2.36 Å. In the twelfth Mo site, Mo is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Mo–O bond distances ranging from 1.74–2.36 Å. There are two inequivalent Pt sites. In the first Pt site, Pt is bonded in an octahedral geometry to six O atoms. There are a spread of Pt–O bond distances ranging from 2.01–2.05 Å. In the second Pt site, Pt is bonded in an octahedral geometry to six O atoms. There are a spread of Pt–O bond distances ranging from 2.01–2.07 Å. There are thirty-one inequivalent H sites. In the first H site, H is bonded in a single-bond geometry to one O atom. The H–O bond length is 0.98 Å. In the second H site, H is bonded in a single-bond geometry to one O atom. The H–O bond length is 0.98 Å. In the third H site, H is bonded in a single-bond geometry to one O atom. The H–O bond length is 0.98 Å. In the fourth H site, H is bonded in a single-bond geometry to one O atom. The H–O bond length is 0.98 Å. In the fifth H site, H is bonded in a single-bond geometry to one O atom. The H–O bond length is 0.99 Å. In the sixth H site, H is bonded in a single-bond geometry to one O atom. The H–O bond length is 0.99 Å. In the seventh H site, H is bonded in a single-bond geometry to one O atom. The H–O bond length is 0.98 Å. In the eighth H site, H is bonded in a single-bond geometry to one O atom. The H–O bond length is 0.98 Å. In the ninth H site, H is bonded in a single-bond geometry to one O atom. The H–O bond length is 0.98 Å. In the tenth H site, H is bonded in a single-bond geometry to one O atom. The H–O bond length is 0.98 Å. In the eleventh H site, H is bonded in a single-bond geometry to one O atom. The H–O bond length is 0.98 Å. In the twelfth H site, H is bonded in a single-bond geometry to one O atom. The H–O bond length is 0.98 Å. In the thirteenth H site, H is bonded in a single-bond geometry to one O atom. The H–O bond length is 1.00 Å. In the fourteenth H site, H is bonded in a single-bond geometry to one O atom. The H–O bond length is 1.00 Å. In the fifteenth H site, H is bonded in a linear geometry to two O atoms. There is one shorter (1.05 Å) and one longer (1.48 Å) H–O bond length. In the sixteenth H site, H is bonded in a linear geometry to two O atoms. There is one shorter (1.04 Å) and one longer (1.49 Å) H–O bond length. In the seventeenth H site, H is bonded in a single-bond geometry to one O atom. The H–O bond length is 0.98 Å. In the eighteenth H site, H is bonded in a single-bond geometry to one O atom. The H–O bond length is 0.98 Å. In the nineteenth H site, H is bonded in a linear geometry to two O atoms. There is one shorter (1.03 Å) and one longer (1.49 Å) H–O bond length. In the twentieth H site, H is bonded in a linear geometry to two O atoms. There is one shorter (1.02 Å) and one longer (1.52 Å) H–O bond length. In the twenty-first H site, H is bonded in a single-bond geometry to one O atom. The H–O bond length is 0.98 Å. In the twenty-second H site, H is bonded in a single-bond geometry to one O atom. The H–O bond length is 0.98 Å. In the twenty-third H site, H is bonded in a single-bond geometry to one O atom. The H–O bond length is 0.98 Å. In the twenty-fourth H site, H is bonded in a single-bond geometry to one O atom. The H–O bond length is 0.98 Å. In the twenty-fifth H site, H is bonded in a single-bond geometry to one O atom. The H–O bond length is 1.00 Å. In the twenty-sixth H site, H is bonded in a single-bond geometry to one O atom. The H–O bond length is 0.99 Å. In the twenty-seventh H site, H is bonded in a linear geometry to two O atoms. There is one shorter (1.02 Å) and one longer (1.53 Å) H–O bond length. In the twenty-eighth H site, H is bonded in a linear geometry to two O atoms. There is one shorter (1.02 Å) and one longer (1.56 Å) H–O bond length. In the twenty-ninth H site, H is bonded in a linear geometry to two O atoms. There is one shorter (1.07 Å) and one longer (1.46 Å) H–O bond length. In the thirtieth H site, H is bonded in a single-bond geometry to one O atom. The H–O bond length is 0.98 Å. In the thirty-first H site, H is bonded in a single-bond geometry to one K and one O atom. The H–O bond length is 0.98 Å. There are fifty-nine inequivalent O sites. In the first O site, O is bonded in a trigonal planar geometry to one K and two Mo atoms. In the second O site, O is bonded in a trigonal planar geometry to one K and two Mo atoms. In the third O site, O is bonded in a distorted single-bond geometry to two Mo, one Pt, and one H atom. In the fourth O site, O is bonded in a 1-coordinate geometry to two Mo, one Pt, and one H atom. In the fifth O site, O is bonded in a distorted trigonal planar geometry to one K and two Mo atoms. In the sixth O site, O is bonded in a distorted trigonal planar geometry to one K and two Mo atoms. In the seventh O site, O is bonded in a bent 120 degrees geometry to two Mo atoms. In the eighth O site, O is bonded in a bent 120 degrees geometry to two Mo atoms. In the ninth O site, O is bonded in a trigonal planar geometry to one K and two Mo atoms. In the tenth O site, O is bonded in a trigonal planar geometry to one K and two Mo atoms. In the eleventh O site, O is bonded in a single-bond geometry to two K and one Mo atom. In the twelfth O site, O is bonded in a distorted single-bond geometry to two K and one Mo atom. In the thirteenth O site, O is bonded in a distorted trigonal non-coplanar geometry to one K and three H atoms. In the fourteenth O site, O is bonded in a distorted trigonal non-coplanar geometry to one K and three H atoms. In the fifteenth O site, O is bonded in a water-like geometry to two K and two H atoms. In the sixteenth O site, O is bonded in a water-like geometry to two K and two H atoms. In the seventeenth O site, O is bonded in a water-like geometry to two Mo atoms. In the eighteenth O site, O is bonded in a water-like geometry to two Mo atoms. In the nineteenth O site, O is bonded in a distorted single-bond geometry to two Mo, one Pt, and one H atom. In the twentieth O site, O is bonded in a distorted single-bond geometry to two Mo, one Pt, and one H atom. In the twenty-first O site, O is bonded in a distorted single-bond geometry to two Mo, one Pt, and one H atom. In the twenty-second O site, O is bonded in a distorted single-bond geometry to two Mo, one Pt, and one H atom. In the twenty-third O site, O is bonded in a trigonal non-coplanar geometry to two Mo and one Pt atom. In the twenty-fourth O site, O is bonded in a trigonal non-coplanar geometry to two Mo and one Pt atom. In the twenty-fifth O site, O is bonded in a distorted bent 150 degrees geometry to one K, one Mo, and one H atom. In the twenty-sixth O site, O is bonded in a distorted bent 150 degrees geometry to one K, one Mo, and one H atom. In the twenty-seventh O site, O is bonded in a distorted single-bond geometry to one K and one Mo atom. In the twenty-eighth O site, O is bonded in a distorted single-bond geometry to one K and one Mo atom. In the twenty-ninth O site, O is bonded in a distorted single-bond geometry to one K and one Mo atom. In the thirtieth O site, O is bonded in a distorted single-bond geometry to one K and one Mo atom. In the thirty-first O site, O is bonded in a 4-coordinate geometry to two K, one Mo, and one H atom. In the thirty-second O site, O is bonded in a 4-coordinate geometry to two K, one Mo, and one H atom. In the thirty-third O site, O is bonded in a single-bond geometry to one K and one Mo atom. In the thirty-fourth O site, O is bonded in a single-bond geometry to one K and one Mo atom. In the thirty-fifth O site, O is bonded in a distorted bent 150 degrees geometry to one K and one Mo atom. In the thirty-sixth O site, O is bonded in a distorted bent 150 degrees geometry to one K and one Mo atom. In the thirty-seventh O site, O is bonded in a distorted single-bond geometry to two K and one Mo atom. In the thirty-eighth O site, O is bonded in a distorted single-bond geometry to two K and one Mo atom. In the thirty-ninth O site, O is bonded in a water-like geometry to one K and two H atoms. In the fortieth O site, O is bonded in a water-like geometry to one K and two H atoms. In the forty-first O site, O is bonded in a trigonal non-coplanar geometry to two Mo and one Pt atom. In the forty-second O site, O is bonded in a trigonal non-coplanar geometry to two Mo and one Pt atom. In the forty-third O site, O is bonded in a distorted single-bond geometry to two Mo and one H atom. In the forty-fourth O site, O is bonded in a distorted single-bond geometry to two Mo and one H atom. In the forty-fifth O site, O is bonded in a distorted single-bond geometry to one K and one Mo atom. In the forty-sixth O site, O is bonded in a single-bond geometry to one K and one Mo atom. In the forty-seventh O site, O is bonded in a distorted water-like geometry to one K and two H atoms. In the forty-eighth O site, O is bonded in a water-like geometry to one K and two H atoms. In the forty-ninth O site, O is bonded in a distorted bent 150 degrees geometry to one K and one Mo atom. In the fiftieth O site, O is bonded in a distorted bent 150 degrees geometry to one K and one Mo atom

36 MATERIALS SCIENCE↗

Materials Data on Ce4C10O31 by Materials Project

(Ce2C5O14)4(O2)3 crystallizes in the triclinic P1 space group. The structure is three-dimensional and consists of one oxygen molecule, one water molecule, and one Ce2C5O14 framework. In the Ce2C5O14 framework, there are four inequivalent Ce sites. In the first Ce site, Ce is bonded in a 1-coordinate geometry to nine O atoms. There are a spread of Ce–O bond distances ranging from 2.00–2.95 Å. In the second Ce site, Ce is bonded in a 1-coordinate geometry to nine O atoms. There are a spread of Ce–O bond distances ranging from 2.00–3.09 Å. In the third Ce site, Ce is bonded in a 10-coordinate geometry to ten O atoms. There are a spread of Ce–O bond distances ranging from 2.26–2.81 Å. In the fourth Ce site, Ce is bonded in a 10-coordinate geometry to ten O atoms. There are a spread of Ce–O bond distances ranging from 2.24–2.82 Å. There are ten inequivalent C sites. In the first C site, C is bonded in a distorted bent 120 degrees geometry to two O atoms. There is one shorter (1.26 Å) and one longer (1.27 Å) C–O bond length. In the second C site, C is bonded in a distorted bent 120 degrees geometry to two O atoms. There is one shorter (1.26 Å) and one longer (1.27 Å) C–O bond length. In the third C site, C is bonded in a distorted bent 120 degrees geometry to two O atoms. There is one shorter (1.26 Å) and one longer (1.27 Å) C–O bond length. In the fourth C site, C is bonded in a distorted bent 120 degrees geometry to two O atoms. There is one shorter (1.26 Å) and one longer (1.27 Å) C–O bond length. In the fifth C site, C is bonded in a trigonal planar geometry to three O atoms. There are a spread of C–O bond distances ranging from 1.28–1.30 Å. In the sixth C site, C is bonded in a trigonal planar geometry to three O atoms. There are a spread of C–O bond distances ranging from 1.28–1.30 Å. In the seventh C site, C is bonded in a distorted bent 120 degrees geometry to two O atoms. There is one shorter (1.26 Å) and one longer (1.27 Å) C–O bond length. In the eighth C site, C is bonded in a distorted bent 120 degrees geometry to two O atoms. There is one shorter (1.26 Å) and one longer (1.27 Å) C–O bond length. In the ninth C site, C is bonded in a distorted bent 120 degrees geometry to two O atoms. Both C–O bond lengths are 1.26 Å. In the tenth C site, C is bonded in a distorted bent 120 degrees geometry to two O atoms. Both C–O bond lengths are 1.26 Å. There are twenty-eight inequivalent O sites. In the first O site, O is bonded in a distorted single-bond geometry to two Ce and one C atom. In the second O site, O is bonded in a distorted single-bond geometry to two Ce and one C atom. In the third O site, O is bonded in a 1-coordinate geometry to two Ce and one C atom. In the fourth O site, O is bonded in a distorted single-bond geometry to two Ce and one C atom. In the fifth O site, O is bonded in a bent 120 degrees geometry to two Ce atoms. In the sixth O site, O is bonded in a bent 120 degrees geometry to two Ce atoms. In the seventh O site, O is bonded in a distorted bent 120 degrees geometry to one Ce and one C atom. In the eighth O site, O is bonded in a distorted bent 120 degrees geometry to one Ce and one C atom. In the ninth O site, O is bonded in a bent 120 degrees geometry to one Ce and one C atom. In the tenth O site, O is bonded in a bent 120 degrees geometry to one Ce and one C atom. In the eleventh O site, O is bonded in a single-bond geometry to one O atom. The O–O bond length is 1.24 Å. In the twelfth O site, O is bonded in a single-bond geometry to one O atom. The O–O bond length is 1.23 Å. In the thirteenth O site, O is bonded in a single-bond geometry to two Ce and one C atom. In the fourteenth O site, O is bonded in a single-bond geometry to two Ce and one C atom. In the fifteenth O site, O is bonded in a distorted bent 150 degrees geometry to one Ce and one O atom. In the sixteenth O site, O is bonded in a distorted bent 120 degrees geometry to one Ce and one O atom. In the seventeenth O site, O is bonded in a distorted bent 120 degrees geometry to one Ce and one C atom. In the eighteenth O site, O is bonded in a distorted bent 120 degrees geometry to one Ce and one C atom. In the nineteenth O site, O is bonded in a distorted bent 120 degrees geometry to one Ce and one C atom. In the twentieth O site, O is bonded in a distorted bent 120 degrees geometry to one Ce and one C atom. In the twenty-first O site, O is bonded in a distorted single-bond geometry to two Ce and one C atom. In the twenty-second O site, O is bonded in a distorted single-bond geometry to two Ce and one C atom. In the twenty-third O site, O is bonded in a bent 120 degrees geometry to one Ce and one C atom. In the twenty-fourth O site, O is bonded in a distorted bent 120 degrees geometry to one Ce and one C atom. In the twenty-fifth O site, O is bonded in a distorted bent 120 degrees geometry to one Ce and one C atom. In the twenty-sixth O site, O is bonded in a distorted bent 120 degrees geometry to one Ce and one C atom. In the twenty-seventh O site, O is bonded in a distorted single-bond geometry to two Ce and one C atom. In the twenty-eighth O site, O is bonded in a distorted single-bond geometry to two Ce and one C atom.

36 MATERIALS SCIENCE↗

Materials Data on Li2V3CuO8 by Materials Project

Li2V3CuO8 is Hausmannite-derived structured and crystallizes in the triclinic P1 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 LiO4 tetrahedra that share corners with three CuO6 octahedra and corners with nine VO6 octahedra. The corner-sharing octahedra tilt angles range from 54–67°. There are a spread of Li–O bond distances ranging from 1.99–2.01 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three CuO6 octahedra and corners with nine VO6 octahedra. The corner-sharing octahedra tilt angles range from 53–67°. There are a spread of Li–O bond distances ranging from 1.98–2.01 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three CuO6 octahedra and corners with nine VO6 octahedra. The corner-sharing octahedra tilt angles range from 53–66°. There are a spread of Li–O bond distances ranging from 1.98–2.01 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three CuO6 octahedra and corners with nine VO6 octahedra. The corner-sharing octahedra tilt angles range from 54–67°. There are a spread of Li–O bond distances ranging from 1.99–2.01 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three CuO6 octahedra and corners with nine VO6 octahedra. The corner-sharing octahedra tilt angles range from 53–67°. There are a spread of Li–O bond distances ranging from 1.99–2.01 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three CuO6 octahedra and corners with nine VO6 octahedra. The corner-sharing octahedra tilt angles range from 53–67°. There are a spread of Li–O bond distances ranging from 1.99–2.01 Å. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three CuO6 octahedra and corners with nine VO6 octahedra. The corner-sharing octahedra tilt angles range from 53–66°. There are a spread of Li–O bond distances ranging from 1.99–2.01 Å. In the eighth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three CuO6 octahedra and corners with nine VO6 octahedra. The corner-sharing octahedra tilt angles range from 53–67°. There are a spread of Li–O bond distances ranging from 1.99–2.01 Å. There are twelve 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 LiO4 tetrahedra, edges with two CuO6 octahedra, and edges with four VO6 octahedra. There are a spread of V–O bond distances ranging from 1.89–2.06 Å. In the second V+4.33+ site, V+4.33+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CuO6 octahedra, and edges with four VO6 octahedra. There are a spread of V–O bond distances ranging from 1.82–2.05 Å. In the third V+4.33+ site, V+4.33+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CuO6 octahedra, and edges with four VO6 octahedra. There are a spread of V–O bond distances ranging from 1.83–2.06 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 LiO4 tetrahedra, edges with two CuO6 octahedra, and edges with four VO6 octahedra. There are a spread of V–O bond distances ranging from 1.83–2.06 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 LiO4 tetrahedra, edges with two CuO6 octahedra, and edges with four VO6 octahedra. There are a spread of V–O bond distances ranging from 1.82–2.06 Å. In the sixth V+4.33+ site, V+4.33+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CuO6 octahedra, and edges with four VO6 octahedra. There are a spread of V–O bond distances ranging from 1.89–2.06 Å. In the seventh V+4.33+ site, V+4.33+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CuO6 octahedra, and edges with four VO6 octahedra. There are a spread of V–O bond distances ranging from 1.89–2.06 Å. In the eighth V+4.33+ site, V+4.33+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CuO6 octahedra, and edges with four VO6 octahedra. There are a spread of V–O bond distances ranging from 1.83–2.06 Å. In the ninth V+4.33+ site, V+4.33+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CuO6 octahedra, and edges with four VO6 octahedra. There are a spread of V–O bond distances ranging from 1.83–2.05 Å. In the tenth V+4.33+ site, V+4.33+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CuO6 octahedra, and edges with four VO6 octahedra. There are a spread of V–O bond distances ranging from 1.83–2.05 Å. In the eleventh V+4.33+ site, V+4.33+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CuO6 octahedra, and edges with four VO6 octahedra. There are a spread of V–O bond distances ranging from 1.82–2.05 Å. In the twelfth V+4.33+ site, V+4.33+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CuO6 octahedra, and edges with four VO6 octahedra. There are a spread of V–O bond distances ranging from 1.89–2.06 Å. There are four inequivalent Cu1+ sites. In the first Cu1+ site, Cu1+ is bonded to six O2- atoms to form CuO6 octahedra that share corners with six LiO4 tetrahedra and edges with six VO6 octahedra. There are a spread of Cu–O bond distances ranging from 2.00–2.23 Å. In the second Cu1+ site, Cu1+ is bonded to six O2- atoms to form CuO6 octahedra that share corners with six LiO4 tetrahedra and edges with six VO6 octahedra. There are a spread of Cu–O bond distances ranging from 2.00–2.23 Å. In the third Cu1+ site, Cu1+ is bonded to six O2- atoms to form CuO6 octahedra that share corners with six LiO4 tetrahedra and edges with six VO6 octahedra. There are a spread of Cu–O bond distances ranging from 2.00–2.24 Å. In the fourth Cu1+ site, Cu1+ is bonded to six O2- atoms to form CuO6 octahedra that share corners with six LiO4 tetrahedra and edges with six VO6 octahedra. There are a spread of Cu–O bond distances ranging from 2.00–2.23 Å. There are thirty-two inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two V+4.33+, and one Cu1+ atom. In the second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two V+4.33+, and one Cu1+ atom. In the third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three V+4.33+ atoms. In the fourth O2- site, O2- is bonded to one Li1+, two V+4.33+, and one Cu1+ atom to form distorted corner-sharing OLiV2Cu trigonal pyramids. In the fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two V+4.33+, and one Cu1+ atom. In the sixth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three V+4.33+ atoms. In the seventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two V+4.33+, and one Cu1+ atom. In the eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two V+4.33+, and one Cu1+ atom. In the ninth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two V+4.33+, and one Cu1+ atom. In the tenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two V+4.33+, and one Cu1+ atom. In the eleventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three V+4.33+ atoms. In the twelfth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two V+4.33+, and one Cu1+ atom. In the thirteenth O2- site, O2- is bonded to one Li1+, two V+4.33+, and one Cu1+ atom to form distorted corner-sharing OLiV2Cu trigonal pyramids. In the fourteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three V+4.33+ atoms. In the fifteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two V+4.33+, and one Cu1+ atom. In the sixteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two V+4.33+, and one Cu1+ atom. In the seventeenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two V+4.33+, and one Cu1+ atom. In the eighteenth O2- site, O2- is bonded to one Li1+, two V+4.33+, and one Cu1+ atom to form distorted corner-sharing OLiV2Cu trigonal pyramids. In the nineteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three V+4.33+ atoms. In the twentieth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two V+4.33+, and one Cu1+ atom. In the twenty-first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two V+4.33+, and one Cu1+ atom. In the twenty-second O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three V+4.33+ atoms. In the twenty-third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two V+4.33+, and one Cu1+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two V+4.33+, and one Cu1+ atom. In the twenty-fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two V+4.33+, and one Cu1+ atom. In the twenty-sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two V+4.33+, and one Cu1+ atom. In the twenty-seventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three V+4.33+ atoms. In the twenty-eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two V+4.33+, and one Cu1+ atom. In the twenty-ninth O2- site, O2- is bonded to one Li1+, two V+4.33+, and one Cu1+ atom to form distorted corner-sharing OLiV2Cu trigonal pyramids. In the thirtieth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three V+4.33+ atoms. In the thirty-first O2- site, O2- is bonded to one Li1+, two V+4.33+, and one Cu1+ atom to form distorted corner-sharing OLiV2Cu trigonal pyramids. In the thirty-second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two V+4.33+, and one Cu1+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Ca7Ge by Materials Project

Ca7Ge is beta-derived structured and crystallizes in the cubic Fm-3m space group. The structure is three-dimensional. there are twenty-five inequivalent Ca sites. In the first Ca site, Ca is bonded to ten Ca and two equivalent Ge atoms to form distorted CaCa10Ge2 cuboctahedra that share corners with twelve CaCa10Ge2 cuboctahedra, edges with four equivalent GeCa12 cuboctahedra, edges with twenty CaCa12 cuboctahedra, faces with two equivalent GeCa12 cuboctahedra, and faces with sixteen CaCa12 cuboctahedra. All Ca–Ca bond lengths are 3.72 Å. Both Ca–Ge bond lengths are 3.72 Å. In the second Ca site, Ca is bonded to twelve Ca atoms to form CaCa12 cuboctahedra that share corners with twelve equivalent CaCa12 cuboctahedra, edges with twenty-four CaCa10Ge2 cuboctahedra, faces with six equivalent GeCa12 cuboctahedra, and faces with twelve CaCa10Ge2 cuboctahedra. All Ca–Ca bond lengths are 3.72 Å. In the third Ca site, Ca is bonded to ten Ca and two equivalent Ge atoms to form distorted CaCa10Ge2 cuboctahedra that share corners with twelve CaCa10Ge2 cuboctahedra, edges with four equivalent GeCa12 cuboctahedra, edges with twenty CaCa12 cuboctahedra, faces with two equivalent GeCa12 cuboctahedra, and faces with sixteen CaCa10Ge2 cuboctahedra. All Ca–Ca bond lengths are 3.72 Å. Both Ca–Ge bond lengths are 3.72 Å. In the fourth Ca site, Ca is bonded to ten Ca and two equivalent Ge atoms to form distorted CaCa10Ge2 cuboctahedra that share corners with twelve CaCa10Ge2 cuboctahedra, edges with four equivalent GeCa12 cuboctahedra, edges with twenty CaCa12 cuboctahedra, faces with two equivalent GeCa12 cuboctahedra, and faces with sixteen CaCa10Ge2 cuboctahedra. All Ca–Ca bond lengths are 3.72 Å. Both Ca–Ge bond lengths are 3.72 Å. In the fifth Ca site, Ca is bonded to ten Ca and two equivalent Ge atoms to form distorted CaCa10Ge2 cuboctahedra that share corners with twelve CaCa10Ge2 cuboctahedra, edges with four equivalent GeCa12 cuboctahedra, edges with twenty CaCa10Ge2 cuboctahedra, faces with two equivalent GeCa12 cuboctahedra, and faces with sixteen CaCa12 cuboctahedra. All Ca–Ca bond lengths are 3.72 Å. Both Ca–Ge bond lengths are 3.72 Å. In the sixth Ca site, Ca is bonded to ten Ca and two equivalent Ge atoms to form distorted CaCa10Ge2 cuboctahedra that share corners with twelve CaCa10Ge2 cuboctahedra, edges with four equivalent GeCa12 cuboctahedra, edges with twenty CaCa12 cuboctahedra, faces with two equivalent GeCa12 cuboctahedra, and faces with sixteen CaCa10Ge2 cuboctahedra. All Ca–Ca bond lengths are 3.72 Å. Both Ca–Ge bond lengths are 3.72 Å. In the seventh Ca site, Ca is bonded to ten Ca and two equivalent Ge atoms to form distorted CaCa10Ge2 cuboctahedra that share corners with twelve CaCa10Ge2 cuboctahedra, edges with four equivalent GeCa12 cuboctahedra, edges with twenty CaCa12 cuboctahedra, faces with two equivalent GeCa12 cuboctahedra, and faces with sixteen CaCa10Ge2 cuboctahedra. All Ca–Ca bond lengths are 3.72 Å. Both Ca–Ge bond lengths are 3.72 Å. In the eighth Ca site, Ca is bonded to ten Ca and two equivalent Ge atoms to form distorted CaCa10Ge2 cuboctahedra that share corners with twelve CaCa10Ge2 cuboctahedra, edges with four equivalent GeCa12 cuboctahedra, edges with twenty CaCa12 cuboctahedra, faces with two equivalent GeCa12 cuboctahedra, and faces with sixteen CaCa12 cuboctahedra. All Ca–Ca bond lengths are 3.72 Å. Both Ca–Ge bond lengths are 3.72 Å. In the ninth Ca site, Ca is bonded to ten Ca and two equivalent Ge atoms to form distorted CaCa10Ge2 cuboctahedra that share corners with twelve CaCa10Ge2 cuboctahedra, edges with four equivalent GeCa12 cuboctahedra, edges with twenty CaCa12 cuboctahedra, faces with two equivalent GeCa12 cuboctahedra, and faces with sixteen CaCa10Ge2 cuboctahedra. All Ca–Ca bond lengths are 3.72 Å. Both Ca–Ge bond lengths are 3.72 Å. In the tenth Ca site, Ca is bonded to ten Ca and two equivalent Ge atoms to form distorted CaCa10Ge2 cuboctahedra that share corners with twelve CaCa10Ge2 cuboctahedra, edges with four equivalent GeCa12 cuboctahedra, edges with twenty CaCa10Ge2 cuboctahedra, faces with two equivalent GeCa12 cuboctahedra, and faces with sixteen CaCa12 cuboctahedra. All Ca–Ca bond lengths are 3.72 Å. Both Ca–Ge bond lengths are 3.72 Å. In the eleventh Ca site, Ca is bonded to ten Ca and two equivalent Ge atoms to form distorted CaCa10Ge2 cuboctahedra that share corners with twelve CaCa10Ge2 cuboctahedra, edges with four equivalent GeCa12 cuboctahedra, edges with twenty CaCa12 cuboctahedra, faces with two equivalent GeCa12 cuboctahedra, and faces with sixteen CaCa10Ge2 cuboctahedra. All Ca–Ca bond lengths are 3.72 Å. Both Ca–Ge bond lengths are 3.72 Å. In the twelfth Ca site, Ca is bonded to ten Ca and two equivalent Ge atoms to form distorted CaCa10Ge2 cuboctahedra that share corners with twelve CaCa10Ge2 cuboctahedra, edges with four equivalent GeCa12 cuboctahedra, edges with twenty CaCa12 cuboctahedra, faces with two equivalent GeCa12 cuboctahedra, and faces with sixteen CaCa10Ge2 cuboctahedra. All Ca–Ca bond lengths are 3.72 Å. Both Ca–Ge bond lengths are 3.72 Å. In the thirteenth Ca site, Ca is bonded to ten Ca and two equivalent Ge atoms to form distorted CaCa10Ge2 cuboctahedra that share corners with twelve CaCa10Ge2 cuboctahedra, edges with four equivalent GeCa12 cuboctahedra, edges with twenty CaCa12 cuboctahedra, faces with two equivalent GeCa12 cuboctahedra, and faces with sixteen CaCa10Ge2 cuboctahedra. All Ca–Ca bond lengths are 3.72 Å. Both Ca–Ge bond lengths are 3.72 Å. In the fourteenth Ca site, Ca is bonded to ten Ca and two equivalent Ge atoms to form distorted CaCa10Ge2 cuboctahedra that share corners with twelve CaCa10Ge2 cuboctahedra, edges with four equivalent GeCa12 cuboctahedra, edges with twenty CaCa12 cuboctahedra, faces with two equivalent GeCa12 cuboctahedra, and faces with sixteen CaCa12 cuboctahedra. All Ca–Ca bond lengths are 3.72 Å. Both Ca–Ge bond lengths are 3.72 Å. In the fifteenth Ca site, Ca is bonded to ten Ca and two equivalent Ge atoms to form distorted CaCa10Ge2 cuboctahedra that share corners with twelve CaCa10Ge2 cuboctahedra, edges with four equivalent GeCa12 cuboctahedra, edges with twenty CaCa10Ge2 cuboctahedra, faces with two equivalent GeCa12 cuboctahedra, and faces with sixteen CaCa12 cuboctahedra. All Ca–Ca bond lengths are 3.72 Å. Both Ca–Ge bond lengths are 3.72 Å. In the sixteenth Ca site, Ca is bonded to ten Ca and two equivalent Ge atoms to form distorted CaCa10Ge2 cuboctahedra that share corners with twelve CaCa10Ge2 cuboctahedra, edges with four equivalent GeCa12 cuboctahedra, edges with twenty CaCa12 cuboctahedra, faces with two equivalent GeCa12 cuboctahedra, and faces with sixteen CaCa10Ge2 cuboctahedra. All Ca–Ca bond lengths are 3.72 Å. Both Ca–Ge bond lengths are 3.72 Å. In the seventeenth Ca site, Ca is bonded to ten Ca and two equivalent Ge atoms to form distorted CaCa10Ge2 cuboctahedra that share corners with twelve CaCa10Ge2 cuboctahedra, edges with four equivalent GeCa12 cuboctahedra, edges with twenty CaCa10Ge2 cuboctahedra, faces with two equivalent GeCa12 cuboctahedra, and faces with sixteen CaCa12 cuboctahedra. All Ca–Ca bond lengths are 3.72 Å. Both Ca–Ge bond lengths are 3.72 Å. In the eighteenth Ca site, Ca is bonded to ten Ca and two equivalent Ge atoms to form distorted CaCa10Ge2 cuboctahedra that share corners with twelve CaCa10Ge2 cuboctahedra, edges with four equivalent GeCa12 cuboctahedra, edges with twenty CaCa10Ge2 cuboctahedra, faces with two equivalent GeCa12 cuboctahedra, and faces with sixteen CaCa12 cuboctahedra. All Ca–Ca bond lengths are 3.72 Å. Both Ca–Ge bond lengths are 3.72 Å. In the nineteenth Ca site, Ca is bonded to ten Ca and two equivalent Ge atoms to form distorted CaCa10Ge2 cuboctahedra that share corners with twelve CaCa10Ge2 cuboctahedra, edges with four equivalent GeCa12 cuboctahedra, edges with twenty CaCa12 cuboctahedra, faces with two equivalent GeCa12 cuboctahedra, and faces with sixteen CaCa12 cuboctahedra. All Ca–Ca bond lengths are 3.72 Å. Both Ca–Ge bond lengths are 3.72 Å. In the twentieth Ca site, Ca is bonded to ten Ca and two equivalent Ge atoms to form distorted CaCa10Ge2 cuboctahedra that share corners with twelve CaCa10Ge2 cuboctahedra, edges with four equivalent GeCa12 cuboctahedra, edges with twenty CaCa12 cuboctahedra, faces with two equivalent GeCa12 cuboctahedra, and faces with sixteen CaCa12 cuboctahedra. All Ca–Ca bond lengths are 3.72 Å. Both Ca–Ge bond lengths are 3.72 Å. In the twenty-first Ca site, Ca is bonded to ten Ca and two equivalent Ge atoms to form distorted CaCa10Ge2 cuboctahedra that share corners with twelve CaCa10Ge2 cuboctahedra, edges with four equivalent GeCa12 cuboctahedra, edges with twenty CaCa10Ge2 cuboctahedra, faces with two equivalent GeCa12 cuboctahedra, and faces with sixteen CaCa12 cuboctahedra. All Ca–Ca bond lengths are 3.72 Å. Both Ca–Ge bond lengths are 3.72 Å. In the twenty-second Ca site, Ca is bonded to ten Ca and two equivalent Ge atoms to form distorted CaCa10Ge2 cuboctahedra that share corners with twelve CaCa10Ge2 cuboctahedra, edges with four equivalent GeCa12 cuboctahedra, edges with twenty CaCa10Ge2 cuboctahedra, faces with two equivalent GeCa12 cuboctahedra, and faces with sixteen CaCa12 cuboctahedra. The Ca–Ca bond length is 3.72 Å. Both Ca–Ge bond lengths are 3.72 Å. In the twenty-third Ca site, Ca is bonded to ten Ca and two equivalent Ge atoms to form distorted CaCa10Ge2 cuboctahedra that share corners with twelve CaCa10Ge2 cuboctahedra, edges with four equivalent GeCa12 cuboctahedra, edges with twenty CaCa12 cuboctahedra, faces with two equivalent GeCa12 cuboctahedra, and faces with sixteen CaCa10Ge2 cuboctahedra. All Ca–Ca bond lengths are 3.72 Å. Both Ca–Ge bond lengths are 3.72 Å. In the twenty-fourth Ca site, Ca is bonded to ten Ca and two equivalent Ge atoms to form distorted CaCa10Ge2 cuboctahedra that share corners with twelve CaCa10Ge2 cuboctahedra, edges with four equivalent GeCa12 cuboctahedra, edges with twenty CaCa10Ge2 cuboctahedra, faces with two equivalent GeCa12 cuboctahedra, and faces with sixteen CaCa12 cuboctahedra. All Ca–Ca bond lengths are 3.72 Å. Both Ca–Ge bond lengths are 3.72 Å. In the twenty-fifth Ca site, Ca is bonded to ten Ca and two equivalent Ge atoms to form distorted CaCa10Ge2 cuboctahedra that share corners with twelve CaCa10Ge2 cuboctahedra, edges with four equivalent GeCa12 cuboctahedra, edges with twenty CaCa12 cuboctahedra, faces with two equivalent GeCa12 cuboctahedra, and faces with sixteen CaCa10Ge2 cuboctahedra. Both Ca–Ge bond lengths are 3.72 Å. Ge is bonded to twelve Ca atoms to form distorted GeCa12 cuboctahedra that share corners with twelve equivalent GeCa12 cuboctahedra, edges with twenty-four CaCa10Ge2 cuboctahedra, and faces with eighteen CaCa10Ge2 cuboctahedra.

36 MATERIALS SCIENCE↗

Materials Data on K4Pt2(SO4)5 by Materials Project

K4Pt2(SO4)5 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are eight inequivalent K1+ sites. In the first K1+ site, K1+ is bonded in a 5-coordinate geometry to eleven O2- atoms. There are a spread of K–O bond distances ranging from 2.83–3.42 Å. In the second K1+ site, K1+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of K–O bond distances ranging from 2.88–3.38 Å. In the third K1+ site, K1+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of K–O bond distances ranging from 2.69–2.95 Å. In the fourth K1+ site, K1+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of K–O bond distances ranging from 2.62–2.92 Å. In the fifth 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 2.66–3.41 Å. In the sixth K1+ site, K1+ is bonded in a 8-coordinate geometry to nine O2- atoms. There are a spread of K–O bond distances ranging from 2.72–3.34 Å. In the seventh K1+ site, K1+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of K–O bond distances ranging from 2.82–3.06 Å. In the eighth K1+ site, K1+ is bonded in a 6-coordinate geometry to eight O2- atoms. There are a spread of K–O bond distances ranging from 2.71–3.50 Å. There are four inequivalent Pt3+ sites. In the first Pt3+ site, Pt3+ is bonded to five O2- atoms to form PtO5 square pyramids that share corners with five SO4 tetrahedra. There are four shorter (2.05 Å) and one longer (2.17 Å) Pt–O bond lengths. In the second Pt3+ site, Pt3+ is bonded to five O2- atoms to form PtO5 square pyramids that share corners with five SO4 tetrahedra. There are a spread of Pt–O bond distances ranging from 2.04–2.17 Å. In the third Pt3+ site, Pt3+ is bonded to five O2- atoms to form PtO5 square pyramids that share corners with five SO4 tetrahedra. There are a spread of Pt–O bond distances ranging from 2.04–2.19 Å. In the fourth Pt3+ site, Pt3+ is bonded to five O2- atoms to form PtO5 square pyramids that share corners with five SO4 tetrahedra. There are a spread of Pt–O bond distances ranging from 2.04–2.19 Å. There are ten inequivalent S6+ sites. In the first S6+ site, S6+ is bonded to four O2- atoms to form SO4 tetrahedra that share corners with two PtO5 square pyramids. There are a spread of S–O bond distances ranging from 1.47–1.53 Å. In the second S6+ site, S6+ is bonded to four O2- atoms to form SO4 tetrahedra that share corners with two equivalent PtO5 square pyramids. There are a spread of S–O bond distances ranging from 1.45–1.56 Å. In the third S6+ site, S6+ is bonded to four O2- atoms to form SO4 tetrahedra that share corners with two equivalent PtO5 square pyramids. There are a spread of S–O bond distances ranging from 1.45–1.56 Å. In the fourth S6+ site, S6+ is bonded to four O2- atoms to form SO4 tetrahedra that share corners with two equivalent PtO5 square pyramids. There is two shorter (1.45 Å) and two longer (1.55 Å) S–O bond length. In the fifth S6+ site, S6+ is bonded to four O2- atoms to form SO4 tetrahedra that share corners with two equivalent PtO5 square pyramids. There are a spread of S–O bond distances ranging from 1.45–1.56 Å. In the sixth S6+ site, S6+ is bonded to four O2- atoms to form SO4 tetrahedra that share corners with two equivalent PtO5 square pyramids. There are a spread of S–O bond distances ranging from 1.46–1.55 Å. In the seventh S6+ site, S6+ is bonded to four O2- atoms to form SO4 tetrahedra that share corners with two equivalent PtO5 square pyramids. There are a spread of S–O bond distances ranging from 1.45–1.56 Å. In the eighth S6+ site, S6+ is bonded to four O2- atoms to form SO4 tetrahedra that share corners with two equivalent PtO5 square pyramids. There are a spread of S–O bond distances ranging from 1.45–1.57 Å. In the ninth S6+ site, S6+ is bonded to four O2- atoms to form SO4 tetrahedra that share corners with two equivalent PtO5 square pyramids. There are a spread of S–O bond distances ranging from 1.45–1.56 Å. In the tenth S6+ site, S6+ is bonded to four O2- atoms to form SO4 tetrahedra that share corners with two PtO5 square pyramids. There are a spread of S–O bond distances ranging from 1.45–1.54 Å. There are forty inequivalent O2- sites. In the first O2- site, O2- is bonded in a bent 120 degrees geometry to one Pt3+ and one S6+ atom. In the second O2- site, O2- is bonded in a bent 120 degrees geometry to two K1+, one Pt3+, and one S6+ atom. In the third O2- site, O2- is bonded in a distorted single-bond geometry to three K1+ and one S6+ atom. In the fourth O2- site, O2- is bonded in a distorted single-bond geometry to three K1+ and one S6+ atom. In the fifth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two K1+, one Pt3+, and one S6+ atom. In the sixth O2- site, O2- is bonded in a distorted linear geometry to one K1+ and one S6+ atom. In the seventh O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two K1+ and one S6+ atom. In the eighth O2- site, O2- is bonded in a distorted single-bond geometry to two K1+ and one S6+ atom. In the ninth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one K1+, one Pt3+, and one S6+ atom. In the tenth O2- site, O2- is bonded in a 2-coordinate geometry to one K1+, one Pt3+, and one S6+ atom. In the eleventh O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one K1+, one Pt3+, and one S6+ atom. In the twelfth O2- site, O2- is bonded in a 2-coordinate geometry to one K1+, one Pt3+, and one S6+ atom. In the thirteenth O2- site, O2- is bonded in a distorted single-bond geometry to two K1+ and one S6+ atom. In the fourteenth O2- site, O2- is bonded in a distorted single-bond geometry to three K1+ and one S6+ atom. In the fifteenth O2- site, O2- is bonded in a distorted single-bond geometry to two equivalent K1+ and one S6+ atom. In the sixteenth O2- site, O2- is bonded in a 1-coordinate geometry to one K1+, one Pt3+, and one S6+ atom. In the seventeenth O2- site, O2- is bonded in a distorted single-bond geometry to two K1+ and one S6+ atom. In the eighteenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two K1+, one Pt3+, and one S6+ atom. In the nineteenth O2- site, O2- is bonded in a 1-coordinate geometry to one K1+, one Pt3+, and one S6+ atom. In the twentieth O2- site, O2- is bonded in a distorted single-bond geometry to two K1+ and one S6+ atom. In the twenty-first O2- site, O2- is bonded in a bent 120 degrees geometry to one Pt3+ and one S6+ atom. In the twenty-second O2- site, O2- is bonded in a 2-coordinate geometry to two K1+, one Pt3+, and one S6+ atom. In the twenty-third O2- site, O2- is bonded in a distorted single-bond geometry to two K1+ and one S6+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted single-bond geometry to two K1+ and one S6+ atom. In the twenty-fifth O2- site, O2- is bonded in a distorted single-bond geometry to three K1+ and one S6+ atom. In the twenty-sixth O2- site, O2- is bonded in a 3-coordinate geometry to one K1+, one Pt3+, and one S6+ atom. In the twenty-seventh O2- site, O2- is bonded in a 2-coordinate geometry to one K1+, one Pt3+, and one S6+ atom. In the twenty-eighth O2- site, O2- is bonded in a bent 120 degrees geometry to one Pt3+ and one S6+ atom. In the twenty-ninth O2- site, O2- is bonded in a distorted single-bond geometry to two K1+ and one S6+ atom. In the thirtieth O2- site, O2- is bonded in a 2-coordinate geometry to one K1+, one Pt3+, and one S6+ atom. In the thirty-first O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two K1+, one Pt3+, and one S6+ atom. In the thirty-second O2- site, O2- is bonded in a distorted single-bond geometry to two K1+ and one S6+ atom. In the thirty-third O2- site, O2- is bonded in a 2-coordinate geometry to one K1+, one Pt3+, and one S6+ atom. In the thirty-fourth O2- site, O2- is bonded in a distorted single-bond geometry to two K1+ and one S6+ atom. In the thirty-fifth O2- site, O2- is bonded in a 1-coordinate geometry to two K1+ and one S6+ atom. In the thirty-sixth O2- site, O2- is bonded in a distorted single-bond geometry to three K1+ and one S6+ atom. In the thirty-seventh O2- site, O2- is bonded in a 2-coordinate geometry to two K1+, one Pt3+, and one S6+ atom. In the thirty-eighth O2- site, O2- is bonded in a distorted single-bond geometry to two K1+ and one S6+ atom. In the thirty-ninth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one K1+, one Pt3+, and one S6+ atom. In the fortieth O2- site, O2- is bonded in a distorted single-bond geometry to three K1+ and one S6+ atom.

36 MATERIALS SCIENCE↗

Materials Data on KUP3O11 by Materials Project

KUP3O11 crystallizes in the monoclinic P2_1/m 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 eight O2- atoms. There are a spread of K–O bond distances ranging from 2.72–3.22 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 2.86–3.19 Å. In the third K1+ site, K1+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of K–O bond distances ranging from 2.75–3.30 Å. In the fourth K1+ site, K1+ is bonded in a 7-coordinate geometry to eight O2- atoms. There are a spread of K–O bond distances ranging from 2.62–3.37 Å. There are three inequivalent U6+ sites. In the first U6+ site, U6+ is bonded to seven O2- atoms to form distorted UO7 pentagonal bipyramids that share corners with five PO4 tetrahedra. There are a spread of U–O bond distances ranging from 1.81–2.39 Å. In the second U6+ site, U6+ is bonded to seven O2- atoms to form distorted UO7 pentagonal bipyramids that share corners with five PO4 tetrahedra. There are a spread of U–O bond distances ranging from 1.81–2.43 Å. In the third U6+ site, U6+ is bonded to seven O2- atoms to form distorted UO7 pentagonal bipyramids that share corners with five PO4 tetrahedra. There are a spread of U–O bond distances ranging from 1.81–2.41 Å. There are seven inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two UO7 pentagonal bipyramids and corners with two PO4 tetrahedra. There are a spread of P–O bond distances ranging from 1.50–1.62 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one UO7 pentagonal bipyramid and corners with two equivalent PO4 tetrahedra. There are a spread of P–O bond distances ranging from 1.48–1.64 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two UO7 pentagonal bipyramids and corners with two PO4 tetrahedra. There are a spread of P–O bond distances ranging from 1.50–1.61 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two UO7 pentagonal bipyramids and corners with two PO4 tetrahedra. There are a spread of P–O bond distances ranging from 1.50–1.62 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two UO7 pentagonal bipyramids and corners with two PO4 tetrahedra. 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 a cornercorner with one UO7 pentagonal bipyramid and corners with two PO4 tetrahedra. There are a spread of P–O bond distances ranging from 1.48–1.62 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one UO7 pentagonal bipyramid and corners with two equivalent PO4 tetrahedra. There are a spread of P–O bond distances ranging from 1.48–1.64 Å. There are twenty-six inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one K1+ and two P5+ atoms. In the second O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one U6+ and one P5+ atom. In the third O2- site, O2- is bonded in a distorted single-bond geometry to two K1+ and one U6+ atom. In the fourth O2- site, O2- is bonded in a distorted single-bond geometry to one K1+, one U6+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a distorted single-bond geometry to two K1+ and one U6+ atom. In the sixth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two P5+ atoms. In the seventh O2- site, O2- is bonded in a distorted single-bond geometry to two K1+ and one U6+ atom. In the eighth O2- site, O2- is bonded in a distorted single-bond geometry to one K1+, one U6+, and one P5+ atom. In the ninth O2- site, O2- is bonded in a distorted single-bond geometry to two K1+ and one P5+ atom. In the tenth O2- site, O2- is bonded in a distorted single-bond geometry to one U6+ and one P5+ atom. In the eleventh O2- site, O2- is bonded in a distorted single-bond geometry to one U6+ and one P5+ atom. In the twelfth O2- site, O2- is bonded in a distorted single-bond geometry to one U6+ 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 distorted bent 150 degrees geometry to one U6+ and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a distorted single-bond geometry to two K1+ and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one U6+ and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a distorted single-bond geometry to two K1+ and one U6+ atom. In the eighteenth O2- site, O2- is bonded in a 1-coordinate geometry to one K1+, one U6+, and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a distorted single-bond geometry to one K1+ and one U6+ atom. In the twentieth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one U6+ and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a bent 150 degrees geometry to two P5+ atoms. In the twenty-second O2- site, O2- is bonded in a distorted single-bond geometry to two K1+ and one U6+ atom. In the twenty-third O2- site, O2- is bonded in a distorted single-bond geometry to two K1+ and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one K1+ and two P5+ atoms. In the twenty-fifth O2- site, O2- is bonded in a bent 120 degrees geometry to two P5+ atoms. In the twenty-sixth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one U6+ and one P5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Ba2Ti9O20 by Materials Project

Ba2Ti9O20 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are four inequivalent Ba2+ sites. In the first Ba2+ site, Ba2+ is bonded in a 11-coordinate geometry to eleven O2- atoms. There are a spread of Ba–O bond distances ranging from 2.83–3.16 Å. In the second Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form distorted BaO12 cuboctahedra that share corners with eight TiO6 octahedra, edges with two equivalent BaO12 cuboctahedra, edges with two TiO6 octahedra, and faces with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 32–59°. There are a spread of Ba–O bond distances ranging from 2.84–3.16 Å. In the third Ba2+ site, Ba2+ is bonded in a 12-coordinate geometry to twelve O2- atoms. There are a spread of Ba–O bond distances ranging from 2.78–3.30 Å. In the fourth Ba2+ site, Ba2+ is bonded in a 11-coordinate geometry to eleven O2- atoms. There are a spread of Ba–O bond distances ranging from 2.79–3.17 Å. There are eighteen inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 36–56°. There are a spread of Ti–O bond distances ranging from 1.82–2.12 Å. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one BaO12 cuboctahedra, corners with three TiO6 octahedra, and edges with three TiO6 octahedra. The corner-sharing octahedra tilt angles range from 15–61°. There are a spread of Ti–O bond distances ranging from 1.80–2.19 Å. In the third Ti4+ site, Ti4+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 46–52°. There are a spread of Ti–O bond distances ranging from 1.88–2.11 Å. In the fourth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with four TiO6 octahedra, edges with three TiO6 octahedra, and a faceface with one BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 9–52°. There are a spread of Ti–O bond distances ranging from 1.80–2.13 Å. In the fifth Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share a cornercorner with one BaO12 cuboctahedra, corners with four TiO6 octahedra, and edges with three TiO6 octahedra. The corner-sharing octahedra tilt angles range from 42–56°. There are a spread of Ti–O bond distances ranging from 1.84–2.19 Å. In the sixth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one BaO12 cuboctahedra, corners with three TiO6 octahedra, and edges with three TiO6 octahedra. The corner-sharing octahedra tilt angles range from 14–57°. There are a spread of Ti–O bond distances ranging from 1.86–2.18 Å. In the seventh Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share a cornercorner with one BaO12 cuboctahedra, corners with four TiO6 octahedra, an edgeedge with one BaO12 cuboctahedra, an edgeedge with one TiO6 octahedra, and a faceface with one BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 11–47°. There are a spread of Ti–O bond distances ranging from 1.84–2.39 Å. In the eighth Ti4+ site, Ti4+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 42–56°. There are a spread of Ti–O bond distances ranging from 1.86–2.12 Å. In the ninth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with three equivalent BaO12 cuboctahedra, corners with four TiO6 octahedra, and edges with two TiO6 octahedra. The corner-sharing octahedra tilt angles range from 34–56°. There are a spread of Ti–O bond distances ranging from 1.84–2.13 Å. In the tenth Ti4+ site, Ti4+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 46–49°. There are a spread of Ti–O bond distances ranging from 1.92–2.05 Å. In the eleventh Ti4+ site, Ti4+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ti–O bond distances ranging from 1.80–2.39 Å. In the twelfth Ti4+ site, Ti4+ is bonded to six O2- atoms to form a mixture of distorted corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 36–61°. There are a spread of Ti–O bond distances ranging from 1.82–2.36 Å. In the thirteenth Ti4+ site, Ti4+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 36–56°. There are a spread of Ti–O bond distances ranging from 1.90–2.15 Å. In the fourteenth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two TiO6 octahedra, an edgeedge with one BaO12 cuboctahedra, edges with four TiO6 octahedra, and a faceface with one BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 16–37°. There are a spread of Ti–O bond distances ranging from 1.85–2.17 Å. In the fifteenth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one BaO12 cuboctahedra, corners with four TiO6 octahedra, and edges with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 14–56°. There are a spread of Ti–O bond distances ranging from 1.89–2.16 Å. In the sixteenth Ti4+ site, Ti4+ is bonded to six O2- atoms to form a mixture of distorted corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 42–56°. There are a spread of Ti–O bond distances ranging from 1.87–2.19 Å. In the seventeenth Ti4+ site, Ti4+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 15–55°. There are a spread of Ti–O bond distances ranging from 1.82–2.12 Å. In the eighteenth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with four TiO6 octahedra, edges with two TiO6 octahedra, and a faceface with one BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 9–46°. There are a spread of Ti–O bond distances ranging from 1.83–2.07 Å. There are forty inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and four Ti4+ atoms. In the second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Ba2+ and four Ti4+ atoms. In the third O2- site, O2- is bonded in a distorted trigonal planar geometry to one Ba2+ and three Ti4+ atoms. In the fourth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Ba2+ and two Ti4+ atoms. In the fifth O2- site, O2- is bonded in a distorted linear geometry to two Ba2+ and two Ti4+ atoms. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to three Ti4+ atoms. In the seventh O2- site, O2- is bonded in a 2-coordinate geometry to two equivalent Ba2+ and two Ti4+ atoms. In the eighth O2- site, O2- is bonded in a distorted water-like geometry to two equivalent Ba2+ and two Ti4+ atoms. In the ninth O2- site, O2- is bonded in a 3-coordinate geometry to three Ti4+ atoms. In the tenth O2- site, O2- is bonded in a 3-coordinate geometry to one Ba2+ and three Ti4+ atoms. In the eleventh O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti4+ atoms. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti4+ atoms. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti4+ atoms. In the fourteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti4+ atoms. In the fifteenth O2- site, O2- is bonded in a distorted water-like geometry to two equivalent Ba2+ and two Ti4+ atoms. In the sixteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Ba2+ and three Ti4+ atoms. In the seventeenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti4+ atoms. In the eighteenth O2- site, O2- is bonded in a distorted linear geometry to three Ba2+ and two Ti4+ atoms. In the nineteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Ba2+ and three Ti4+ atoms. In the twentieth O2- site, O2- is bonded in a distorted T-shaped geometry to one Ba2+ and three Ti4+ atoms. In the twenty-first O2- site, O2- is bonded in a 2-coordinate geometry to two Ba2+ and two Ti4+ atoms. In the twenty-second O2- site, O2- is bonded in a distorted water-like geometry to two equivalent Ba2+ and two Ti4+ atoms. In the twenty-third O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti4+ atoms. In the twenty-fourth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Ba2+ and two Ti4+ atoms. In the twenty-fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti4+ atoms. In the twenty-sixth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and four Ti4+ atoms. In the twenty-seventh O2- site, O2- is bonded in a 2-coordinate geometry to two Ba2+ and two Ti4+ atoms. In the twenty-eighth O2- site, O2- is bonded in a 3-coordinate geometry to one Ba2+ and three Ti4+ atoms. In the twenty-ninth O2- site, O2- is bonded in a distorted water-like geometry to two equivalent Ba2+ and two Ti4+ atoms. In the thirtieth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Ba2+ and three Ti4+ atoms. In the thirty-first O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Ba2+ and two Ti4+ atoms. In the thirty-second O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two Ba2+ and two Ti4+ atoms. In the thirty-third O2- site, O2- is bonded in a bent 150 degrees geometry to one Ba2+ and two Ti4+ atoms. In the thirty-fourth O2- site, O2- is bonded in a distorted T-shaped geometry to two Ba2+ and three Ti4+ atoms. In the thirty-fifth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti4+ atoms. In the thirty-sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti4+ atoms. In the thirty-seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti4+ atoms. In the thirty-eighth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti4+ atoms. In the thirty-ninth O2- site, O2- is bonded in a 2-coordinate geometry to one Ba2+ and three Ti4+ atoms. In the fortieth O2- site, O2- is bonded in a 2-coordinate geometry to two Ba2+ and two Ti4+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on H5IO6 by Materials Project

H5IO6 crystallizes in the triclinic P1 space group. The structure is one-dimensional and consists of two H5IO6 ribbons oriented in the (0, 1, 0) direction. In one of the H5IO6 ribbons, there are ten inequivalent H sites. In the first H site, H is bonded in a distorted single-bond geometry to two O atoms. There is one shorter (1.01 Å) and one longer (1.68 Å) H–O bond length. In the second H site, H is bonded in a distorted single-bond geometry to one O atom. The H–O bond length is 1.01 Å. In the third H site, H is bonded in a linear geometry to two O atoms. There is one shorter (1.03 Å) and one longer (1.62 Å) H–O bond length. In the fourth H site, H is bonded in a single-bond geometry to one O atom. The H–O bond length is 1.00 Å. In the fifth H site, H is bonded in a single-bond geometry to one O atom. The H–O bond length is 1.00 Å. In the sixth H site, H is bonded in a single-bond geometry to one O atom. The H–O bond length is 0.98 Å. In the seventh H site, H is bonded in a single-bond geometry to one O atom. The H–O bond length is 0.99 Å. In the eighth H site, H is bonded in a linear geometry to two O atoms. There is one shorter (1.03 Å) and one longer (1.62 Å) H–O bond length. In the ninth H site, H is bonded in a single-bond geometry to one O atom. The H–O bond length is 0.98 Å. In the tenth H site, H is bonded in a single-bond geometry to one O atom. The H–O bond length is 1.00 Å. There are twelve inequivalent O sites. In the first O site, O is bonded in a distorted single-bond geometry to one H and one I atom. The O–I bond length is 1.93 Å. In the second O site, O is bonded in a distorted single-bond geometry to one H and one I atom. The O–I bond length is 1.94 Å. In the third O site, O is bonded in a distorted single-bond geometry to one H and one I atom. The O–I bond length is 1.95 Å. In the fourth O site, O is bonded in a trigonal planar geometry to two H and one I atom. The O–I bond length is 1.82 Å. In the fifth O site, O is bonded in a distorted water-like geometry to one H and one I atom. The O–I bond length is 1.91 Å. In the sixth O site, O is bonded in a distorted water-like geometry to one H and one I atom. The O–I bond length is 1.92 Å. In the seventh O site, O is bonded in a distorted single-bond geometry to one H and one I atom. The O–I bond length is 1.95 Å. In the eighth O site, O is bonded in a distorted single-bond geometry to one H and one I atom. The O–I bond length is 1.95 Å. In the ninth O site, O is bonded in a bent 120 degrees geometry to one H and one I atom. The O–I bond length is 1.81 Å. In the tenth O site, O is bonded in a distorted water-like geometry to one H and one I atom. The O–I bond length is 1.91 Å. In the eleventh O site, O is bonded in a distorted single-bond geometry to one H and one I atom. The O–I bond length is 1.95 Å. In the twelfth O site, O is bonded in a distorted single-bond geometry to one H and one I atom. The O–I bond length is 1.94 Å. There are two inequivalent I sites. In the first I site, I is bonded in an octahedral geometry to six O atoms. In the second I site, I is bonded in an octahedral geometry to six O atoms. In one of the H5IO6 ribbons, there are ten inequivalent H sites. In the first H site, H is bonded in a distorted single-bond geometry to one O atom. The H–O bond length is 1.01 Å. In the second H site, H is bonded in a distorted linear geometry to two O atoms. There is one shorter (1.02 Å) and one longer (1.62 Å) H–O bond length. In the third H site, H is bonded in a linear geometry to two O atoms. There is one shorter (1.04 Å) and one longer (1.53 Å) H–O bond length. In the fourth H site, H is bonded in a single-bond geometry to one O atom. The H–O bond length is 1.00 Å. In the fifth H site, H is bonded in a single-bond geometry to one O atom. The H–O bond length is 1.00 Å. In the sixth H site, H is bonded in a single-bond geometry to one O atom. The H–O bond length is 0.99 Å. In the seventh H site, H is bonded in a single-bond geometry to one O atom. The H–O bond length is 0.99 Å. In the eighth H site, H is bonded in a distorted linear geometry to two O atoms. There is one shorter (1.03 Å) and one longer (1.64 Å) H–O bond length. In the ninth H site, H is bonded in a single-bond geometry to one O atom. The H–O bond length is 1.00 Å. In the tenth H site, H is bonded in a single-bond geometry to one O atom. The H–O bond length is 1.00 Å. There are twelve inequivalent O sites. In the first O site, O is bonded in a distorted single-bond geometry to one H and one I atom. The O–I bond length is 1.94 Å. In the second O site, O is bonded in a distorted single-bond geometry to one H and one I atom. The O–I bond length is 1.94 Å. In the third O site, O is bonded in a trigonal planar geometry to two H and one I atom. The O–I bond length is 1.83 Å. In the fourth O site, O is bonded in a distorted single-bond geometry to one H and one I atom. The O–I bond length is 1.93 Å. In the fifth O site, O is bonded in a distorted water-like geometry to one H and one I atom. The O–I bond length is 1.91 Å. In the sixth O site, O is bonded in a distorted bent 120 degrees geometry to one H and one I atom. The O–I bond length is 1.92 Å. In the seventh O site, O is bonded in a distorted single-bond geometry to one H and one I atom. The O–I bond length is 1.97 Å. In the eighth O site, O is bonded in a distorted single-bond geometry to one H and one I atom. The O–I bond length is 1.96 Å. In the ninth O site, O is bonded in a distorted single-bond geometry to one H and one I atom. The O–I bond length is 1.93 Å. In the tenth O site, O is bonded in a bent 120 degrees geometry to one H and one I atom. The O–I bond length is 1.81 Å. In the eleventh O site, O is bonded in a distorted water-like geometry to one H and one I atom. The O–I bond length is 1.91 Å. In the twelfth O site, O is bonded in a distorted single-bond geometry to one H and one I atom. The O–I bond length is 1.95 Å. There are two inequivalent I sites. In the first I site, I is bonded in an octahedral geometry to six O atoms. In the second I site, I is bonded in an octahedral geometry to six O atoms.

36 MATERIALS SCIENCE↗

Materials Data on Os4C12SO12 by Materials Project

Os4C12SO12 is alpha Niobium phosphide-derived structured and crystallizes in the triclinic P1 space group. The structure is zero-dimensional and consists of two Os4C12SO12 clusters. there are eight inequivalent Os+1.50- sites. In the first Os+1.50- site, Os+1.50- is bonded in a distorted rectangular see-saw-like geometry to three C+2.67+ and one S2- atom. All Os–C bond lengths are 1.91 Å. The Os–S bond length is 2.41 Å. In the second Os+1.50- site, Os+1.50- is bonded in a distorted rectangular see-saw-like geometry to three C+2.67+ and one S2- atom. There is one shorter (1.91 Å) and two longer (1.92 Å) Os–C bond length. The Os–S bond length is 2.40 Å. In the third Os+1.50- site, Os+1.50- is bonded in a 3-coordinate geometry to three C+2.67+ atoms. All Os–C bond lengths are 1.90 Å. In the fourth Os+1.50- site, Os+1.50- is bonded in a 3-coordinate geometry to three C+2.67+ atoms. All Os–C bond lengths are 1.90 Å. In the fifth Os+1.50- site, Os+1.50- is bonded in a distorted rectangular see-saw-like geometry to three C+2.67+ and one S2- atom. There is one shorter (1.90 Å) and two longer (1.91 Å) Os–C bond length. The Os–S bond length is 2.40 Å. In the sixth Os+1.50- site, Os+1.50- is bonded in a distorted rectangular see-saw-like geometry to three C+2.67+ and one S2- atom. All Os–C bond lengths are 1.91 Å. The Os–S bond length is 2.40 Å. In the seventh Os+1.50- site, Os+1.50- is bonded in a distorted rectangular see-saw-like geometry to three C+2.67+ and one S2- atom. All Os–C bond lengths are 1.91 Å. The Os–S bond length is 2.41 Å. In the eighth Os+1.50- site, Os+1.50- is bonded in a distorted rectangular see-saw-like geometry to three C+2.67+ and one S2- atom. All Os–C bond lengths are 1.91 Å. The Os–S bond length is 2.41 Å. There are twenty-four inequivalent C+2.67+ sites. In the first C+2.67+ site, C+2.67+ is bonded in a distorted linear geometry to one Os+1.50- and one O2- atom. The C–O bond length is 1.17 Å. In the second C+2.67+ site, C+2.67+ is bonded in a linear geometry to one Os+1.50- and one O2- atom. The C–O bond length is 1.16 Å. In the third C+2.67+ site, C+2.67+ is bonded in a distorted linear geometry to one Os+1.50- and one O2- atom. The C–O bond length is 1.17 Å. In the fourth C+2.67+ site, C+2.67+ is bonded in a distorted linear geometry to one Os+1.50- and one O2- atom. The C–O bond length is 1.16 Å. In the fifth C+2.67+ site, C+2.67+ is bonded in a linear geometry to one Os+1.50- and one O2- atom. The C–O bond length is 1.16 Å. In the sixth C+2.67+ site, C+2.67+ is bonded in a distorted linear geometry to one Os+1.50- and one O2- atom. The C–O bond length is 1.16 Å. In the seventh C+2.67+ site, C+2.67+ is bonded in a distorted linear geometry to one Os+1.50- and one O2- atom. The C–O bond length is 1.16 Å. In the eighth C+2.67+ site, C+2.67+ is bonded in a distorted linear geometry to one Os+1.50- and one O2- atom. The C–O bond length is 1.17 Å. In the ninth C+2.67+ site, C+2.67+ is bonded in a distorted linear geometry to one Os+1.50- and one O2- atom. The C–O bond length is 1.16 Å. In the tenth C+2.67+ site, C+2.67+ is bonded in a distorted linear geometry to one Os+1.50- and one O2- atom. The C–O bond length is 1.16 Å. In the eleventh C+2.67+ site, C+2.67+ is bonded in a distorted single-bond geometry to one Os+1.50- and one O2- atom. The C–O bond length is 1.17 Å. In the twelfth C+2.67+ site, C+2.67+ is bonded in a linear geometry to one Os+1.50- and one O2- atom. The C–O bond length is 1.16 Å. In the thirteenth C+2.67+ site, C+2.67+ is bonded in a distorted linear geometry to one Os+1.50- and one O2- atom. The C–O bond length is 1.16 Å. In the fourteenth C+2.67+ site, C+2.67+ is bonded in a distorted linear geometry to one Os+1.50- and one O2- atom. The C–O bond length is 1.16 Å. In the fifteenth C+2.67+ site, C+2.67+ is bonded in a distorted linear geometry to one Os+1.50- and one O2- atom. The C–O bond length is 1.16 Å. In the sixteenth C+2.67+ site, C+2.67+ is bonded in a distorted linear geometry to one Os+1.50- and one O2- atom. The C–O bond length is 1.16 Å. In the seventeenth C+2.67+ site, C+2.67+ is bonded in a distorted linear geometry to one Os+1.50- and one O2- atom. The C–O bond length is 1.16 Å. In the eighteenth C+2.67+ site, C+2.67+ is bonded in a linear geometry to one Os+1.50- and one O2- atom. The C–O bond length is 1.16 Å. In the nineteenth C+2.67+ site, C+2.67+ is bonded in a linear geometry to one Os+1.50- and one O2- atom. The C–O bond length is 1.16 Å. In the twentieth C+2.67+ site, C+2.67+ is bonded in a distorted linear geometry to one Os+1.50- and one O2- atom. The C–O bond length is 1.16 Å. In the twenty-first C+2.67+ site, C+2.67+ is bonded in a distorted linear geometry to one Os+1.50- and one O2- atom. The C–O bond length is 1.16 Å. In the twenty-second C+2.67+ site, C+2.67+ is bonded in a distorted linear geometry to one Os+1.50- and one O2- atom. The C–O bond length is 1.17 Å. In the twenty-third C+2.67+ site, C+2.67+ is bonded in a distorted single-bond geometry to one Os+1.50- and one O2- atom. The C–O bond length is 1.17 Å. In the twenty-fourth C+2.67+ site, C+2.67+ is bonded in a distorted linear geometry to one Os+1.50- and one O2- atom. The C–O bond length is 1.16 Å. There are two inequivalent S2- sites. In the first S2- site, S2- is bonded in a 5-coordinate geometry to three Os+1.50- and two O2- atoms. There are one shorter (3.18 Å) and one longer (3.45 Å) S–O bond lengths. In the second S2- site, S2- is bonded in a 5-coordinate geometry to three Os+1.50- and two O2- atoms. There are one shorter (3.19 Å) and one longer (3.49 Å) S–O bond lengths. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a single-bond geometry to one C+2.67+ atom. In the second O2- site, O2- is bonded in a single-bond geometry to one C+2.67+ atom. The O–C bond length is 1.16 Å. In the third O2- site, O2- is bonded in a single-bond geometry to one C+2.67+ atom. In the fourth O2- site, O2- is bonded in a single-bond geometry to one C+2.67+ atom. In the fifth O2- site, O2- is bonded in a single-bond geometry to one C+2.67+ atom. In the sixth O2- site, O2- is bonded in a single-bond geometry to one C+2.67+ atom. In the seventh O2- site, O2- is bonded in a single-bond geometry to one C+2.67+ and one S2- atom. In the eighth O2- site, O2- is bonded in a single-bond geometry to one C+2.67+ and one S2- atom. In the ninth O2- site, O2- is bonded in a single-bond geometry to one C+2.67+ atom. In the tenth O2- site, O2- is bonded in a single-bond geometry to one C+2.67+ atom. In the eleventh O2- site, O2- is bonded in a single-bond geometry to one C+2.67+ atom. In the twelfth O2- site, O2- is bonded in a single-bond geometry to one C+2.67+ atom. In the thirteenth O2- site, O2- is bonded in a single-bond geometry to one C+2.67+ and one S2- atom. In the fourteenth O2- site, O2- is bonded in a single-bond geometry to one C+2.67+ atom. In the fifteenth O2- site, O2- is bonded in a single-bond geometry to one C+2.67+ atom. In the sixteenth O2- site, O2- is bonded in a single-bond geometry to one C+2.67+ atom. In the seventeenth O2- site, O2- is bonded in a single-bond geometry to one C+2.67+ atom. In the eighteenth O2- site, O2- is bonded in a single-bond geometry to one C+2.67+ atom. In the nineteenth O2- site, O2- is bonded in a single-bond geometry to one C+2.67+ atom. In the twentieth O2- site, O2- is bonded in a single-bond geometry to one C+2.67+ atom. In the twenty-first O2- site, O2- is bonded in a single-bond geometry to one C+2.67+ atom. In the twenty-second O2- site, O2- is bonded in a single-bond geometry to one C+2.67+ atom. In the twenty-third O2- site, O2- is bonded in a single-bond geometry to one C+2.67+ atom. In the twenty-fourth O2- site, O2- is bonded in a single-bond geometry to one C+2.67+ and one S2- atom.

36 MATERIALS SCIENCE↗

Materials Data on Hf3Sc4O12 by Materials Project

Hf3Sc4O12 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twenty inequivalent Sc3+ sites. In the first Sc3+ site, Sc3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sc–O bond distances ranging from 2.10–2.55 Å. In the second Sc3+ site, Sc3+ is bonded in an octahedral geometry to six O2- atoms. There are a spread of Sc–O bond distances ranging from 2.08–2.14 Å. In the third Sc3+ site, Sc3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sc–O bond distances ranging from 2.07–2.57 Å. In the fourth Sc3+ site, Sc3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sc–O bond distances ranging from 2.09–2.55 Å. In the fifth Sc3+ site, Sc3+ is bonded in an octahedral geometry to six O2- atoms. There are a spread of Sc–O bond distances ranging from 2.08–2.14 Å. In the sixth Sc3+ site, Sc3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sc–O bond distances ranging from 2.08–2.60 Å. In the seventh Sc3+ site, Sc3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sc–O bond distances ranging from 2.06–2.59 Å. In the eighth Sc3+ site, Sc3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Sc–O bond distances ranging from 2.09–2.21 Å. In the ninth Sc3+ site, Sc3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sc–O bond distances ranging from 2.07–2.59 Å. In the tenth Sc3+ site, Sc3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sc–O bond distances ranging from 2.05–2.59 Å. In the eleventh Sc3+ site, Sc3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Sc–O bond distances ranging from 2.09–2.22 Å. In the twelfth Sc3+ site, Sc3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sc–O bond distances ranging from 2.07–2.55 Å. In the thirteenth Sc3+ site, Sc3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sc–O bond distances ranging from 2.07–2.65 Å. In the fourteenth Sc3+ site, Sc3+ is bonded to six O2- atoms to form ScO6 octahedra that share a cornercorner with one HfO7 pentagonal bipyramid and an edgeedge with one HfO7 pentagonal bipyramid. There are a spread of Sc–O bond distances ranging from 2.09–2.12 Å. In the fifteenth Sc3+ site, Sc3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sc–O bond distances ranging from 2.07–2.59 Å. In the sixteenth Sc3+ site, Sc3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sc–O bond distances ranging from 2.08–2.63 Å. In the seventeenth Sc3+ site, Sc3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sc–O bond distances ranging from 2.11–2.64 Å. In the eighteenth Sc3+ site, Sc3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sc–O bond distances ranging from 2.09–2.58 Å. In the nineteenth Sc3+ site, Sc3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sc–O bond distances ranging from 2.10–2.67 Å. In the twentieth Sc3+ site, Sc3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sc–O bond distances ranging from 2.09–2.55 Å. There are fifteen inequivalent Hf4+ sites. In the first Hf4+ site, Hf4+ is bonded in an octahedral geometry to six O2- atoms. There are a spread of Hf–O bond distances ranging from 2.03–2.12 Å. In the second Hf4+ site, Hf4+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Hf–O bond distances ranging from 2.06–2.40 Å. In the third Hf4+ site, Hf4+ is bonded in an octahedral geometry to six O2- atoms. There are a spread of Hf–O bond distances ranging from 2.03–2.13 Å. In the fourth Hf4+ site, Hf4+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Hf–O bond distances ranging from 2.04–2.41 Å. In the fifth Hf4+ site, Hf4+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Hf–O bond distances ranging from 2.05–2.47 Å. In the sixth Hf4+ site, Hf4+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Hf–O bond distances ranging from 2.06–2.39 Å. In the seventh Hf4+ site, Hf4+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Hf–O bond distances ranging from 2.06–2.51 Å. In the eighth Hf4+ site, Hf4+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Hf–O bond distances ranging from 2.04–2.42 Å. In the ninth Hf4+ site, Hf4+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Hf–O bond distances ranging from 2.07–2.46 Å. In the tenth Hf4+ site, Hf4+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Hf–O bond distances ranging from 2.04–2.53 Å. In the eleventh Hf4+ site, Hf4+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Hf–O bond distances ranging from 2.06–2.48 Å. In the twelfth Hf4+ site, Hf4+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Hf–O bond distances ranging from 2.05–2.54 Å. In the thirteenth Hf4+ site, Hf4+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Hf–O bond distances ranging from 2.06–2.47 Å. In the fourteenth Hf4+ site, Hf4+ is bonded to seven O2- atoms to form distorted HfO7 pentagonal bipyramids that share a cornercorner with one ScO6 octahedra and an edgeedge with one ScO6 octahedra. The corner-sharing octahedral tilt angles are 49°. There are a spread of Hf–O bond distances ranging from 2.06–2.33 Å. In the fifteenth Hf4+ site, Hf4+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Hf–O bond distances ranging from 2.06–2.50 Å. There are sixty inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to two Sc3+ and two Hf4+ atoms. In the second O2- site, O2- is bonded to three Sc3+ and one Hf4+ atom to form distorted OHfSc3 tetrahedra that share corners with eight OHfSc3 tetrahedra and edges with three OHf3Sc tetrahedra. In the third O2- site, O2- is bonded in a 4-coordinate geometry to three Sc3+ and one Hf4+ atom. In the fourth O2- site, O2- is bonded to three Sc3+ and one Hf4+ atom to form distorted OHfSc3 tetrahedra that share corners with nine OHfSc3 tetrahedra and edges with three OHf3Sc tetrahedra. In the fifth O2- site, O2- is bonded to three Sc3+ and one Hf4+ atom to form distorted OHfSc3 tetrahedra that share corners with eight OHfSc3 tetrahedra and edges with three OHf2Sc2 tetrahedra. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to three Sc3+ and one Hf4+ atom. In the seventh O2- site, O2- is bonded in a 3-coordinate geometry to three Sc3+ and one Hf4+ atom. In the eighth O2- site, O2- is bonded to three Sc3+ and one Hf4+ atom to form distorted OHfSc3 tetrahedra that share corners with nine OHfSc3 tetrahedra and edges with three OHf3Sc tetrahedra. In the ninth O2- site, O2- is bonded to three Sc3+ and one Hf4+ atom to form distorted OHfSc3 tetrahedra that share corners with nine OHf3Sc tetrahedra and edges with four OHfSc3 tetrahedra. In the tenth O2- site, O2- is bonded in a 3-coordinate geometry to three Sc3+ and one Hf4+ atom. In the eleventh O2- site, O2- is bonded in a 3-coordinate geometry to one Sc3+ and two Hf4+ atoms. In the twelfth O2- site, O2- is bonded to two Sc3+ and two Hf4+ atoms to form a mixture of distorted corner and edge-sharing OHf2Sc2 tetrahedra. In the thirteenth O2- site, O2- is bonded in a 3-coordinate geometry to three Sc3+ and one Hf4+ atom. In the fourteenth O2- site, O2- is bonded to three Sc3+ and one Hf4+ atom to form a mixture of distorted corner and edge-sharing OHfSc3 tetrahedra. In the fifteenth O2- site, O2- is bonded to three Sc3+ and one Hf4+ atom to form distorted OHfSc3 tetrahedra that share corners with nine OHf2Sc2 tetrahedra and edges with four OHfSc3 tetrahedra. In the sixteenth O2- site, O2- is bonded in a 3-coordinate geometry to three Sc3+ and one Hf4+ atom. In the seventeenth O2- site, O2- is bonded to two Sc3+ and two Hf4+ atoms to form distorted OHf2Sc2 tetrahedra that share corners with nine OHf3Sc tetrahedra and edges with three OHfSc3 tetrahedra. In the eighteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Sc3+ and two Hf4+ atoms. In the nineteenth O2- site, O2- is bonded to two Sc3+ and two Hf4+ atoms to form a mixture of distorted corner and edge-sharing OHf2Sc2 tetrahedra. In the twentieth O2- site, O2- is bonded in a 3-coordinate geometry to three Sc3+ and one Hf4+ atom. In the twenty-first O2- site, O2- is bonded to one Sc3+ and three Hf4+ atoms to form a mixture of distorted corner and edge-sharing OHf3Sc tetrahedra. In the twenty-second O2- site, O2- is bonded to three Sc3+ and one Hf4+ atom to form a mixture of distorted corner and edge-sharing OHfSc3 tetrahedra. In the twenty-third O2- site, O2- is bonded to four Sc3+ atoms to form a mixture of corner and edge-sharing OSc4 tetrahedra. In the twenty-fourth O2- site, O2- is bonded to two Sc3+ and two Hf4+ atoms to form distorted OHf2Sc2 tetrahedra that share corners with eight OHf3Sc tetrahedra and edges with three OHfSc3 tetrahedra. In the twenty-fifth O2- site, O2- is bonded in a 3-coordinate geometry to three Sc3+ and one Hf4+ atom. In the twenty-sixth O2- site, O2- is bonded to two Sc3+ and two Hf4+ atoms to form distorted OHf2Sc2 tetrahedra that share corners with nine OHf3Sc tetrahedra and edges with three OHfSc3 tetrahedra. In the twenty-seventh O2- site, O2- is bonded to three Sc3+ and one Hf4+ atom to form distorted OHfSc3 tetrahedra that share corners with six OSc4 tetrahedra and edges with three OHf2Sc2 tetrahedra. In the twenty-eighth O2- site, O2- is bonded in a 3-coordinate geometry to two Sc3+ and two Hf4+ atoms. In the twenty-ninth O2- site, O2- is bonded to one Sc3+ and three Hf4+ atoms to form a mixture of distorted corner and edge-sharing OHf3Sc tetrahedra. In the thirtieth O2- site, O2- is bonded to two Sc3+ and two Hf4+ atoms to form a mixture of distorted corner and edge-sharing OHf2Sc2 tetrahedra. In the thirty-first O2- site, O2- is bonded to one Sc3+ and three Hf4+ atoms to form a mixture of distorted corner and edge-sharing OHf3Sc tetrahedra. In the thirty-second O2- site, O2- is bonded to four Sc3+ atoms to form OSc4 tetrahedra that share corners with six OHf2Sc2 tetrahedra and edges with three OHfSc3 tetrahedra. In the thirty-third O2- site, O2- is bonded to two Sc3+ and two Hf4+ atoms to form distorted OHf2Sc2 tetrahedra that share corners with eight OHf2Sc2 tetrahedra and edges with three OHfSc3 tetrahedra. In the thirty-fourth O2- site, O2- is bonded to two Sc3+ and two Hf4+ atoms to form a mixture of distorted corner and edge-sharing OHf2Sc2 tetrahedra. In the thirty-fifth O2- site, O2- is bonded to three Sc3+ and one Hf4+ atom to form distorted OHfSc3 tetrahedra that share corners with six OHf2Sc2 tetrahedra and edges with three OSc4 tetrahedra. In the thirty-sixth O2- site, O2- is bonded in a 3-coordinate geometry to two Sc3+ and two Hf4+ atoms. In the thirty-seventh O2- site, O2- is bonded in a 3-coordinate geometry to two Sc3+ and two Hf4+ atoms. In the thirty-eighth O2- site, O2- is bonded to two Sc3+ and two Hf4+ atoms to form a mixture of distorted corner and edge-sharing OHf2Sc2 tetrahedra. In the thirty-ninth O2- site, O2- is bonded to one Sc3+ and three Hf4+ atoms to form distorted OHf3Sc tetrahedra that share corners with eight OHf2Sc2 tetrahedra and edges with four OHfSc3 tetrahedra. In the fortieth O2- site, O2- is bonded to three Sc3+ and one Hf4+ atom to form a mixture of corner and edge-sharing OHfSc3 tetrahedra. In the forty-first O2- site, O2- is bonded in a 4-coordinate geometry to two Sc3+ and two Hf4+ atoms. In the forty-second O2- site, O2- is bonded to two Sc3

36 MATERIALS SCIENCE↗

Materials Data on Ag13(BiI4)14 by Materials Project

Ag13(BiI4)14 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are seven inequivalent Ag sites. In the first Ag site, Ag is bonded to six I atoms to form AgI6 octahedra that share edges with four BiI6 octahedra. There are a spread of Ag–I bond distances ranging from 2.89–3.43 Å. In the second Ag site, Ag is bonded to six I atoms to form AgI6 octahedra that share edges with two equivalent AgI6 octahedra and edges with four BiI6 octahedra. There are a spread of Ag–I bond distances ranging from 2.96–3.39 Å. In the third Ag site, Ag is bonded to six I atoms to form AgI6 octahedra that share edges with two equivalent AgI6 octahedra and edges with four BiI6 octahedra. There are a spread of Ag–I bond distances ranging from 2.96–3.38 Å. In the fourth Ag site, Ag is bonded to six I atoms to form AgI6 octahedra that share edges with two equivalent AgI6 octahedra and edges with four BiI6 octahedra. There are a spread of Ag–I bond distances ranging from 3.01–3.35 Å. In the fifth Ag site, Ag is bonded to six I atoms to form AgI6 octahedra that share edges with two equivalent AgI6 octahedra and edges with four BiI6 octahedra. There are a spread of Ag–I bond distances ranging from 3.00–3.36 Å. In the sixth Ag site, Ag is bonded to six I atoms to form AgI6 octahedra that share edges with two equivalent AgI6 octahedra and edges with four BiI6 octahedra. There are a spread of Ag–I bond distances ranging from 3.01–3.35 Å. In the seventh Ag site, Ag is bonded to six I atoms to form AgI6 octahedra that share edges with two equivalent AgI6 octahedra and edges with four BiI6 octahedra. There are a spread of Ag–I bond distances ranging from 3.02–3.35 Å. There are eight inequivalent Bi sites. In the first Bi site, Bi is bonded to six I atoms to form BiI6 octahedra that share edges with two equivalent AgI6 octahedra and edges with two equivalent BiI6 octahedra. There are two shorter (3.10 Å) and four longer (3.14 Å) Bi–I bond lengths. In the second Bi site, Bi is bonded to six I atoms to form BiI6 octahedra that share edges with two BiI6 octahedra and edges with three AgI6 octahedra. There are a spread of Bi–I bond distances ranging from 3.01–3.22 Å. In the third Bi site, Bi is bonded to six I atoms to form BiI6 octahedra that share edges with two BiI6 octahedra and edges with four AgI6 octahedra. There are a spread of Bi–I bond distances ranging from 3.09–3.18 Å. In the fourth Bi site, Bi is bonded to six I atoms to form BiI6 octahedra that share edges with two BiI6 octahedra and edges with four AgI6 octahedra. There are a spread of Bi–I bond distances ranging from 3.11–3.15 Å. In the fifth Bi site, Bi is bonded to six I atoms to form BiI6 octahedra that share edges with two BiI6 octahedra and edges with four AgI6 octahedra. There are a spread of Bi–I bond distances ranging from 3.10–3.15 Å. In the sixth Bi site, Bi is bonded to six I atoms to form BiI6 octahedra that share edges with two BiI6 octahedra and edges with four AgI6 octahedra. There are a spread of Bi–I bond distances ranging from 3.11–3.14 Å. In the seventh Bi site, Bi is bonded to six I atoms to form BiI6 octahedra that share edges with two BiI6 octahedra and edges with four AgI6 octahedra. There are a spread of Bi–I bond distances ranging from 3.10–3.17 Å. In the eighth Bi site, Bi is bonded to six I atoms to form BiI6 octahedra that share edges with two equivalent BiI6 octahedra and edges with four AgI6 octahedra. There are two shorter (3.11 Å) and four longer (3.14 Å) Bi–I bond lengths. There are twenty-eight inequivalent I sites. In the first I site, I is bonded in an L-shaped geometry to one Ag and one Bi atom. In the second I site, I is bonded in a distorted T-shaped geometry to one Ag and two Bi atoms. In the third I site, I is bonded in a distorted T-shaped geometry to two Ag and one Bi atom. In the fourth I site, I is bonded in an L-shaped geometry to two Bi atoms. In the fifth I site, I is bonded in a distorted T-shaped geometry to one Ag and two Bi atoms. In the sixth I site, I is bonded in a distorted T-shaped geometry to two Ag and one Bi atom. In the seventh I site, I is bonded in a distorted T-shaped geometry to one Ag and two Bi atoms. In the eighth I site, I is bonded in a distorted T-shaped geometry to one Ag and two Bi atoms. In the ninth I site, I is bonded in a distorted T-shaped geometry to two Ag and one Bi atom. In the tenth I site, I is bonded in a water-like geometry to one Ag and one Bi atom. In the eleventh I site, I is bonded in a distorted T-shaped geometry to two Ag and one Bi atom. In the twelfth I site, I is bonded in a distorted T-shaped geometry to one Ag and two Bi atoms. In the thirteenth I site, I is bonded in a distorted T-shaped geometry to one Ag and two Bi atoms. In the fourteenth I site, I is bonded in a distorted T-shaped geometry to two Ag and one Bi atom. In the fifteenth I site, I is bonded in a distorted T-shaped geometry to one Ag and two Bi atoms. In the sixteenth I site, I is bonded in a distorted T-shaped geometry to two Ag and one Bi atom. In the seventeenth I site, I is bonded in a distorted T-shaped geometry to one Ag and two Bi atoms. In the eighteenth I site, I is bonded in a distorted T-shaped geometry to two Ag and one Bi atom. In the nineteenth I site, I is bonded in a distorted T-shaped geometry to one Ag and two Bi atoms. In the twentieth I site, I is bonded in a distorted T-shaped geometry to two Ag and one Bi atom. In the twenty-first I site, I is bonded in a distorted T-shaped geometry to one Ag and two Bi atoms. In the twenty-second I site, I is bonded in a distorted T-shaped geometry to two Ag and one Bi atom. In the twenty-third I site, I is bonded in a distorted T-shaped geometry to one Ag and two Bi atoms. In the twenty-fourth I site, I is bonded in a distorted T-shaped geometry to two Ag and one Bi atom. In the twenty-fifth I site, I is bonded in a distorted T-shaped geometry to one Ag and two Bi atoms. In the twenty-sixth I site, I is bonded in a distorted T-shaped geometry to two Ag and one Bi atom. In the twenty-seventh I site, I is bonded in a distorted T-shaped geometry to one Ag and two Bi atoms. In the twenty-eighth I site, I is bonded in a distorted T-shaped geometry to two Ag and one Bi atom.

36 MATERIALS SCIENCE↗

Materials Data on Co3(AsO4)2 by Materials Project

Co3(AsO4)2 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are nine inequivalent Co2+ sites. In the first Co2+ site, Co2+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Co–O bond distances ranging from 1.91–2.08 Å. In the second Co2+ site, Co2+ is bonded to six O2- atoms to form CoO6 octahedra that share a cornercorner with one CoO5 square pyramid, a cornercorner with one AsO5 trigonal bipyramid, an edgeedge with one CoO5 square pyramid, an edgeedge with one AsO4 tetrahedra, and an edgeedge with one CoO5 trigonal bipyramid. There are a spread of Co–O bond distances ranging from 1.86–2.05 Å. In the third Co2+ site, Co2+ is bonded to five O2- atoms to form distorted CoO5 square pyramids that share a cornercorner with one CoO6 octahedra, a cornercorner with one CoO4 tetrahedra, corners with two AsO4 tetrahedra, a cornercorner with one AsO5 trigonal bipyramid, and an edgeedge with one CoO6 octahedra. The corner-sharing octahedral tilt angles are 53°. There are a spread of Co–O bond distances ranging from 1.86–2.19 Å. In the fourth Co2+ site, Co2+ is bonded to five O2- atoms to form distorted CoO5 square pyramids that share a cornercorner with one CoO6 octahedra, corners with two AsO4 tetrahedra, a cornercorner with one CoO5 trigonal bipyramid, a cornercorner with one AsO5 trigonal bipyramid, an edgeedge with one CoO6 octahedra, and an edgeedge with one CoO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 44°. There are a spread of Co–O bond distances ranging from 2.03–2.13 Å. In the fifth Co2+ site, Co2+ is bonded to five O2- atoms to form distorted CoO5 trigonal bipyramids that share corners with two AsO4 tetrahedra, a cornercorner with one AsO5 trigonal bipyramid, an edgeedge with one CoO6 octahedra, an edgeedge with one CoO5 square pyramid, an edgeedge with one CoO4 tetrahedra, and an edgeedge with one CoO5 trigonal bipyramid. There are a spread of Co–O bond distances ranging from 1.81–2.17 Å. In the sixth Co2+ site, Co2+ is bonded to four O2- atoms to form distorted CoO4 tetrahedra that share a cornercorner with one CoO5 square pyramid, a cornercorner with one CoO5 trigonal bipyramid, a cornercorner with one AsO5 trigonal bipyramid, and an edgeedge with one CoO5 trigonal bipyramid. There are a spread of Co–O bond distances ranging from 1.81–1.95 Å. In the seventh Co2+ site, Co2+ is bonded to five O2- atoms to form distorted CoO5 trigonal bipyramids that share a cornercorner with one CoO5 square pyramid, corners with two AsO4 tetrahedra, and a cornercorner with one CoO5 trigonal bipyramid. There are a spread of Co–O bond distances ranging from 1.93–2.31 Å. In the eighth Co2+ site, Co2+ is bonded to six O2- atoms to form distorted CoO6 octahedra that share a cornercorner with one CoO5 square pyramid, a cornercorner with one AsO4 tetrahedra, a cornercorner with one CoO5 trigonal bipyramid, an edgeedge with one CoO5 square pyramid, an edgeedge with one AsO4 tetrahedra, an edgeedge with one CoO5 trigonal bipyramid, and an edgeedge with one AsO5 trigonal bipyramid. There are a spread of Co–O bond distances ranging from 1.94–2.32 Å. In the ninth Co2+ site, Co2+ is bonded to five O2- atoms to form distorted CoO5 trigonal bipyramids that share a cornercorner with one CoO6 octahedra, a cornercorner with one CoO4 tetrahedra, a cornercorner with one CoO5 trigonal bipyramid, a cornercorner with one AsO5 trigonal bipyramid, an edgeedge with one CoO6 octahedra, and an edgeedge with one CoO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 54°. There are a spread of Co–O bond distances ranging from 1.70–2.17 Å. There are six inequivalent As5+ sites. In the first As5+ site, As5+ is bonded to four O2- atoms to form AsO4 tetrahedra that share corners with two CoO5 square pyramids, corners with two CoO5 trigonal bipyramids, and an edgeedge with one CoO6 octahedra. There is two shorter (1.72 Å) and two longer (1.75 Å) As–O bond length. In the second As5+ site, As5+ is bonded in a distorted trigonal non-coplanar geometry to three O2- atoms. There are a spread of As–O bond distances ranging from 1.77–1.87 Å. In the third As5+ site, As5+ is bonded to four O2- atoms to form AsO4 tetrahedra that share a cornercorner with one CoO6 octahedra, corners with two CoO5 square pyramids, corners with two CoO5 trigonal bipyramids, and an edgeedge with one CoO6 octahedra. The corner-sharing octahedral tilt angles are 42°. There are a spread of As–O bond distances ranging from 1.69–1.80 Å. In the fourth As5+ site, As5+ is bonded in a distorted trigonal non-coplanar geometry to three O2- atoms. There are a spread of As–O bond distances ranging from 1.74–1.86 Å. In the fifth As5+ site, As5+ is bonded in a trigonal non-coplanar geometry to three O2- atoms. There are a spread of As–O bond distances ranging from 1.78–1.92 Å. In the sixth As5+ site, As5+ is bonded to five O2- atoms to form distorted AsO5 trigonal bipyramids that share a cornercorner with one CoO6 octahedra, corners with two CoO5 square pyramids, a cornercorner with one CoO4 tetrahedra, corners with two CoO5 trigonal bipyramids, and an edgeedge with one CoO6 octahedra. The corner-sharing octahedral tilt angles are 46°. There are a spread of As–O bond distances ranging from 1.78–1.89 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a trigonal planar geometry to two Co2+ and one As5+ atom. In the second O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Co2+ and one As5+ atom. In the third O2- site, O2- is bonded in a 3-coordinate geometry to two Co2+ and one As5+ atom. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to two Co2+ and one As5+ atom. In the fifth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Co2+ and one As5+ atom. In the sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Co2+ and one As5+ atom. In the seventh O2- site, O2- is bonded in a distorted T-shaped geometry to two Co2+ and one As5+ atom. In the eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Co2+ atoms. In the ninth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Co2+ and one As5+ atom. In the tenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Co2+ and one As5+ atom. In the eleventh O2- site, O2- is bonded in a distorted trigonal planar geometry to two Co2+ and one As5+ atom. In the twelfth O2- site, O2- is bonded in a bent 150 degrees geometry to one Co2+ and one As5+ atom. In the thirteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Co2+ and one As5+ atom. In the fourteenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Co2+ and one As5+ atom. In the fifteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Co2+ and one As5+ atom. In the sixteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Co2+ atoms. In the seventeenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Co2+ and one As5+ atom. In the eighteenth O2- site, O2- is bonded in a bent 120 degrees geometry to two As5+ atoms. In the nineteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Co2+ and one As5+ atom. In the twentieth O2- site, O2- is bonded in a trigonal planar geometry to two Co2+ and one As5+ atom. In the twenty-first O2- site, O2- is bonded in a bent 150 degrees geometry to two Co2+ atoms. In the twenty-second O2- site, O2- is bonded in a distorted trigonal planar geometry to two Co2+ and one As5+ atom. In the twenty-third O2- site, O2- is bonded in a bent 120 degrees geometry to one Co2+ and one As5+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted trigonal pyramidal geometry to three Co2+ and one As5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li2V18O39 by Materials Project

Li2V18O39 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are two inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 square pyramids that share corners with two equivalent VO6 octahedra, a cornercorner with one VO5 trigonal bipyramid, edges with two equivalent LiO5 square pyramids, and edges with two equivalent VO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 70–76°. There are a spread of Li–O bond distances ranging from 1.99–2.43 Å. In the second Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 square pyramids that share corners with two equivalent VO6 octahedra, a cornercorner with one VO5 trigonal bipyramid, edges with two equivalent LiO5 square pyramids, and edges with two equivalent VO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 71–77°. There are a spread of Li–O bond distances ranging from 2.00–2.38 Å. There are eighteen inequivalent V+4.22+ sites. In the first V+4.22+ site, V+4.22+ is bonded to five O2- atoms to form distorted VO5 trigonal bipyramids that share corners with two VO6 octahedra, a cornercorner with one LiO5 square pyramid, corners with two equivalent VO5 trigonal bipyramids, edges with two equivalent LiO5 square pyramids, and edges with two equivalent VO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 5–20°. There are a spread of V–O bond distances ranging from 1.68–2.01 Å. In the second V+4.22+ site, V+4.22+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of V–O bond distances ranging from 1.68–2.34 Å. In the third V+4.22+ site, V+4.22+ is bonded to five O2- atoms to form distorted VO5 trigonal bipyramids that share corners with two VO6 octahedra, a cornercorner with one LiO5 square pyramid, corners with two equivalent VO5 trigonal bipyramids, edges with two equivalent LiO5 square pyramids, and edges with two equivalent VO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 5–20°. There are a spread of V–O bond distances ranging from 1.68–2.00 Å. In the fourth V+4.22+ site, V+4.22+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two equivalent VO6 octahedra, corners with two equivalent LiO5 square pyramids, a cornercorner with one VO5 trigonal bipyramid, and edges with two equivalent VO6 octahedra. The corner-sharing octahedral tilt angles are 27°. There are a spread of V–O bond distances ranging from 1.78–2.14 Å. In the fifth V+4.22+ site, V+4.22+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing VO6 octahedra. The corner-sharing octahedra tilt angles range from 0–22°. There are a spread of V–O bond distances ranging from 1.89–2.07 Å. In the sixth V+4.22+ site, V+4.22+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of V–O bond distances ranging from 1.69–2.38 Å. In the seventh V+4.22+ site, V+4.22+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two equivalent VO6 octahedra, a cornercorner with one VO5 trigonal bipyramid, and an edgeedge with one VO6 octahedra. The corner-sharing octahedral tilt angles are 22°. There are a spread of V–O bond distances ranging from 1.89–2.05 Å. In the eighth V+4.22+ site, V+4.22+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of V–O bond distances ranging from 1.68–2.28 Å. In the ninth V+4.22+ site, V+4.22+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two equivalent VO6 octahedra, corners with two equivalent LiO5 square pyramids, a cornercorner with one VO5 trigonal bipyramid, and edges with two equivalent VO6 octahedra. The corner-sharing octahedral tilt angles are 26°. There are a spread of V–O bond distances ranging from 1.79–2.13 Å. In the tenth V+4.22+ site, V+4.22+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of V–O bond distances ranging from 1.71–2.34 Å. In the eleventh V+4.22+ site, V+4.22+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of V–O bond distances ranging from 1.68–2.28 Å. In the twelfth V+4.22+ site, V+4.22+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of V–O bond distances ranging from 1.69–2.39 Å. In the thirteenth V+4.22+ site, V+4.22+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of V–O bond distances ranging from 1.70–2.34 Å. In the fourteenth V+4.22+ site, V+4.22+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing VO6 octahedra. The corner-sharing octahedra tilt angles range from 0–29°. There are a spread of V–O bond distances ranging from 1.73–2.10 Å. In the fifteenth V+4.22+ site, V+4.22+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of V–O bond distances ranging from 1.69–2.33 Å. In the sixteenth V+4.22+ site, V+4.22+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of V–O bond distances ranging from 1.69–2.38 Å. In the seventeenth V+4.22+ site, V+4.22+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two equivalent VO6 octahedra, a cornercorner with one VO5 trigonal bipyramid, and an edgeedge with one VO6 octahedra. The corner-sharing octahedral tilt angles are 22°. There are a spread of V–O bond distances ranging from 1.88–2.06 Å. In the eighteenth V+4.22+ site, V+4.22+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of V–O bond distances ranging from 1.68–2.40 Å. There are thirty-nine inequivalent O2- sites. In the first O2- site, O2- is bonded in a linear geometry to two V+4.22+ atoms. In the second O2- site, O2- is bonded in a linear geometry to two V+4.22+ atoms. In the third O2- site, O2- is bonded in a linear geometry to two V+4.22+ atoms. In the fourth O2- site, O2- is bonded in a distorted T-shaped geometry to three V+4.22+ atoms. In the fifth O2- site, O2- is bonded in a 3-coordinate geometry to three V+4.22+ atoms. In the sixth O2- site, O2- is bonded in a distorted T-shaped geometry to three V+4.22+ atoms. In the seventh O2- site, O2- is bonded in a distorted T-shaped geometry to three V+4.22+ atoms. In the eighth O2- site, O2- is bonded in a distorted T-shaped geometry to three V+4.22+ atoms. In the ninth O2- site, O2- is bonded in a 3-coordinate geometry to three V+4.22+ atoms. In the tenth O2- site, O2- is bonded in a distorted T-shaped geometry to three V+4.22+ atoms. In the eleventh O2- site, O2- is bonded in a linear geometry to two V+4.22+ atoms. In the twelfth O2- site, O2- is bonded in a linear geometry to two V+4.22+ atoms. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Li1+ and two V+4.22+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted T-shaped geometry to three V+4.22+ atoms. In the fifteenth O2- site, O2- is bonded to four V+4.22+ atoms to form distorted corner-sharing OV4 trigonal pyramids. In the sixteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two equivalent Li1+ and one V+4.22+ atom. In the seventeenth O2- site, O2- is bonded in a linear geometry to two V+4.22+ atoms. In the eighteenth O2- site, O2- is bonded in a distorted T-shaped geometry to three V+4.22+ atoms. In the nineteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to three V+4.22+ atoms. In the twentieth O2- site, O2- is bonded to four V+4.22+ atoms to form a mixture of distorted edge and corner-sharing OV4 trigonal pyramids. In the twenty-first O2- site, O2- is bonded in a 2-coordinate geometry to three V+4.22+ atoms. In the twenty-second O2- site, O2- is bonded in a linear geometry to two V+4.22+ atoms. In the twenty-third O2- site, O2- is bonded in a 4-coordinate geometry to four V+4.22+ atoms. In the twenty-fourth O2- site, O2- is bonded to four V+4.22+ atoms to form a mixture of distorted edge and corner-sharing OV4 tetrahedra. In the twenty-fifth O2- site, O2- is bonded to four V+4.22+ atoms to form a mixture of distorted edge and corner-sharing OV4 tetrahedra. In the twenty-sixth O2- site, O2- is bonded in a linear geometry to two V+4.22+ atoms. In the twenty-seventh O2- site, O2- is bonded in a distorted T-shaped geometry to three V+4.22+ atoms. In the twenty-eighth O2- site, O2- is bonded in a linear geometry to two V+4.22+ atoms. In the twenty-ninth O2- site, O2- is bonded in a linear geometry to two V+4.22+ atoms. In the thirtieth O2- site, O2- is bonded in a 2-coordinate geometry to three V+4.22+ atoms. In the thirty-first O2- site, O2- is bonded in a distorted bent 150 degrees geometry to three V+4.22+ atoms. In the thirty-second O2- site, O2- is bonded to one Li1+ and three V+4.22+ atoms to form a mixture of distorted edge and corner-sharing OLiV3 trigonal pyramids. In the thirty-third O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two equivalent Li1+ and one V+4.22+ atom. In the thirty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Li1+ and two V+4.22+ atoms. In the thirty-fifth O2- site, O2- is bonded in a linear geometry to two V+4.22+ atoms. In the thirty-sixth O2- site, O2- is bonded to one Li1+ and three V+4.22+ atoms to form a mixture of distorted edge and corner-sharing OLiV3 trigonal pyramids. In the thirty-seventh O2- site, O2- is bonded in a distorted T-shaped geometry to three V+4.22+ atoms. In the thirty-eighth O2- site, O2- is bonded to four V+4.22+ atoms to form a mixture of distorted edge and corner-sharing OV4 tetrahedra. In the thirty-ninth O2- site, O2- is bonded in a distorted T-shaped geometry to three V+4.22+ atoms.

36 MATERIALS SCIENCE↗