Engineering Papers⌕ Search

SEARCH · Engineering Papers

Results for “66”

Search indexed NASA NTRS and DOE OSTI research on propulsion, heat transfer, battery materials and energy systems. Follow report and document links to the original sources.

Quote a phrase for an exact phrase match. Source license links do not imply unrestricted reuse.

At least 451 records · Page 25

Materials Data on Li3Ti2(PO4)3 by Materials Project

Li3Ti2(PO4)3 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are six inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 2.00–2.56 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with two TiO6 octahedra, a cornercorner with one LiO4 tetrahedra, corners with four PO4 tetrahedra, and an edgeedge with one TiO6 octahedra. The corner-sharing octahedra tilt angles range from 63–67°. There are a spread of Li–O bond distances ranging from 1.97–2.18 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with two TiO6 octahedra, a cornercorner with one LiO4 tetrahedra, corners with four PO4 tetrahedra, and an edgeedge with one TiO6 octahedra. The corner-sharing octahedra tilt angles range from 64–67°. There are a spread of Li–O bond distances ranging from 1.98–2.16 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with two TiO6 octahedra, corners with two LiO4 tetrahedra, corners with four PO4 tetrahedra, and an edgeedge with one TiO6 octahedra. The corner-sharing octahedra tilt angles range from 64–66°. There are a spread of Li–O bond distances ranging from 1.97–2.22 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with two TiO6 octahedra, corners with two LiO4 tetrahedra, corners with four PO4 tetrahedra, and an edgeedge with one TiO6 octahedra. The corner-sharing octahedra tilt angles range from 65–68°. There are a spread of Li–O bond distances ranging from 1.97–2.17 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with two TiO6 octahedra, corners with two LiO4 tetrahedra, corners with four PO4 tetrahedra, and an edgeedge with one TiO6 octahedra. The corner-sharing octahedral tilt angles are 66°. There are a spread of Li–O bond distances ranging from 1.97–2.19 Å. There are four inequivalent Ti3+ sites. In the first Ti3+ site, Ti3+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with three LiO4 tetrahedra and corners with six PO4 tetrahedra. There are a spread of Ti–O bond distances ranging from 1.97–2.13 Å. In the second Ti3+ site, Ti3+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two LiO4 tetrahedra, corners with six PO4 tetrahedra, and edges with three LiO4 tetrahedra. There are a spread of Ti–O bond distances ranging from 2.03–2.13 Å. In the third Ti3+ site, Ti3+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with three LiO4 tetrahedra, corners with six PO4 tetrahedra, and edges with two LiO4 tetrahedra. There are a spread of Ti–O bond distances ranging from 2.03–2.12 Å. In the fourth Ti3+ site, Ti3+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two LiO4 tetrahedra and corners with six PO4 tetrahedra. There are a spread of Ti–O bond distances ranging from 1.95–2.13 Å. There are six inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four TiO6 octahedra and corners with four LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 31–49°. There are a spread of P–O bond distances ranging from 1.54–1.58 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four TiO6 octahedra and corners with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 25–51°. There are a spread of P–O bond distances ranging from 1.52–1.58 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four TiO6 octahedra and corners with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 23–50°. There are a spread of P–O bond distances ranging from 1.52–1.58 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four TiO6 octahedra and corners with four LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 24–50°. There are a spread of P–O bond distances ranging from 1.53–1.59 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four TiO6 octahedra and corners with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 26–48°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four TiO6 octahedra and corners with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 24–48°. There are a spread of P–O bond distances ranging from 1.52–1.57 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded to two Li1+, one Ti3+, and one P5+ atom to form distorted corner-sharing OLi2TiP tetrahedra. In the second O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Ti3+, and one P5+ atom. In the third O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Ti3+, and one P5+ atom. In the fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Ti3+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Ti3+, and one P5+ atom. In the sixth O2- site, O2- is bonded to two Li1+, one Ti3+, and one P5+ atom to form distorted corner-sharing OLi2TiP tetrahedra. In the seventh O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, one Ti3+, and one P5+ atom. In the eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Ti3+, and one P5+ atom. In the ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Ti3+, and one P5+ atom. In the tenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Ti3+ and one P5+ atom. In the eleventh O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one Ti3+, and one P5+ atom. In the twelfth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Ti3+, and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Ti3+, and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Ti3+, and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Ti3+ and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Ti3+, and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Ti3+, and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Ti3+ and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Ti3+, and one P5+ atom. In the twentieth O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one Ti3+, and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Ti3+, and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a bent 150 degrees geometry to one Ti3+ and one P5+ atom. In the twenty-third O2- site, O2- is bonded to two Li1+, one Ti3+, and one P5+ atom to form distorted corner-sharing OLi2TiP tetrahedra. In the twenty-fourth O2- site, O2- is bonded to two Li1+, one Ti3+, and one P5+ atom to form distorted corner-sharing OLi2TiP tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on Li4V5Co3O16 by Materials Project

Li4V5Co3O16 is Hausmannite-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are four inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four CoO6 octahedra and corners with eight VO6 octahedra. The corner-sharing octahedra tilt angles range from 42–65°. There are a spread of Li–O bond distances ranging from 1.97–2.00 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one CoO6 octahedra, corners with five VO6 octahedra, an edgeedge with one VO6 octahedra, and edges with two CoO6 octahedra. The corner-sharing octahedra tilt angles range from 49–66°. There are a spread of Li–O bond distances ranging from 1.83–2.03 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 trigonal pyramids that share corners with two CoO6 octahedra, corners with four VO6 octahedra, an edgeedge with one CoO6 octahedra, and edges with two VO6 octahedra. The corner-sharing octahedra tilt angles range from 61–68°. There are a spread of Li–O bond distances ranging from 1.84–2.05 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with five CoO6 octahedra and corners with seven VO6 octahedra. The corner-sharing octahedra tilt angles range from 52–66°. There are a spread of Li–O bond distances ranging from 1.95–1.98 Å. There are five inequivalent V+4.40+ sites. In the first V+4.40+ site, V+4.40+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two equivalent VO6 octahedra, corners with four LiO4 tetrahedra, edges with two equivalent CoO6 octahedra, edges with three VO6 octahedra, and an edgeedge with one LiO4 trigonal pyramid. The corner-sharing octahedral tilt angles are 53°. There are a spread of V–O bond distances ranging from 1.83–2.21 Å. In the second V+4.40+ site, V+4.40+ is bonded to six O2- atoms to form distorted VO6 octahedra that share corners with two equivalent CoO6 octahedra, corners with four VO6 octahedra, corners with three equivalent LiO4 tetrahedra, corners with three equivalent LiO4 trigonal pyramids, an edgeedge with one VO6 octahedra, and edges with two CoO6 octahedra. The corner-sharing octahedra tilt angles range from 45–54°. There are a spread of V–O bond distances ranging from 1.81–2.21 Å. In the third V+4.40+ site, V+4.40+ is bonded to six O2- atoms to form distorted VO6 octahedra that share corners with two equivalent VO6 octahedra, corners with three LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one VO6 octahedra, edges with four CoO6 octahedra, and an edgeedge with one LiO4 tetrahedra. The corner-sharing octahedral tilt angles are 50°. There are a spread of V–O bond distances ranging from 1.86–2.27 Å. In the fourth V+4.40+ site, V+4.40+ is bonded to six O2- atoms to form distorted VO6 octahedra that share corners with two equivalent VO6 octahedra, corners with four CoO6 octahedra, corners with six LiO4 tetrahedra, an edgeedge with one CoO6 octahedra, and edges with two VO6 octahedra. The corner-sharing octahedra tilt angles range from 50–53°. There are a spread of V–O bond distances ranging from 1.78–2.21 Å. In the fifth V+4.40+ site, V+4.40+ is bonded to six O2- atoms to form distorted VO6 octahedra that share corners with two equivalent VO6 octahedra, corners with four LiO4 tetrahedra, edges with two equivalent CoO6 octahedra, edges with three VO6 octahedra, and an edgeedge with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 51–54°. There are a spread of V–O bond distances ranging from 1.79–2.21 Å. There are three inequivalent Co2+ sites. In the first Co2+ site, Co2+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with two equivalent VO6 octahedra, corners with three LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, edges with two equivalent CoO6 octahedra, edges with three VO6 octahedra, and an edgeedge with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 51–52°. There are a spread of Co–O bond distances ranging from 1.99–2.20 Å. In the second Co2+ site, Co2+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with two equivalent VO6 octahedra, corners with three LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, edges with two equivalent CoO6 octahedra, edges with three VO6 octahedra, and an edgeedge with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 51–53°. There are a spread of Co–O bond distances ranging from 1.98–2.20 Å. In the third Co2+ site, Co2+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with two equivalent VO6 octahedra, corners with four LiO4 tetrahedra, edges with five VO6 octahedra, and an edgeedge with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 45–47°. There are a spread of Co–O bond distances ranging from 2.00–2.14 Å. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two V+4.40+, and one Co2+ atom. In the second O2- site, O2- is bonded to one Li1+, one V+4.40+, and two Co2+ atoms to form distorted corner-sharing OLiVCo2 tetrahedra. In the third O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one V+4.40+, and two Co2+ atoms. In the fourth O2- site, O2- is bonded to one Li1+, one V+4.40+, and two Co2+ atoms to form corner-sharing OLiVCo2 tetrahedra. In the fifth O2- site, O2- is bonded to one Li1+, two V+4.40+, and one Co2+ atom to form corner-sharing OLiV2Co tetrahedra. In the sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two V+4.40+, and one Co2+ atom. In the seventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two V+4.40+, and one Co2+ atom. In the eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two V+4.40+, and one Co2+ atom. In the ninth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one V+4.40+, and two Co2+ atoms. In the tenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three V+4.40+ atoms. In the eleventh O2- site, O2- is bonded to one Li1+, two V+4.40+, and one Co2+ atom to form distorted OLiV2Co tetrahedra that share corners with three OLiV2Co tetrahedra and an edgeedge with one OLiV3 tetrahedra. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two V+4.40+, and one Co2+ atom. In the thirteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two V+4.40+, and one Co2+ atom. In the fourteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two V+4.40+, and one Co2+ atom. In the fifteenth O2- site, O2- is bonded to one Li1+ and three V+4.40+ atoms to form a mixture of distorted edge and corner-sharing OLiV3 tetrahedra. In the sixteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two V+4.40+, and one Co2+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li4V5Fe3O16 by Materials Project

Li4V5Fe3O16 is Spinel-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are four inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four FeO6 octahedra and corners with eight VO6 octahedra. The corner-sharing octahedra tilt angles range from 53–64°. There are a spread of Li–O bond distances ranging from 1.98–2.00 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one FeO6 octahedra, corners with five VO6 octahedra, an edgeedge with one VO6 octahedra, and edges with two FeO6 octahedra. The corner-sharing octahedra tilt angles range from 60–64°. There are a spread of Li–O bond distances ranging from 1.80–2.01 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with two FeO6 octahedra, corners with four VO6 octahedra, an edgeedge with one FeO6 octahedra, and edges with two VO6 octahedra. The corner-sharing octahedra tilt angles range from 59–66°. There are a spread of Li–O bond distances ranging from 1.81–2.04 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with five FeO6 octahedra and corners with seven 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. There are five inequivalent V+3.80+ sites. In the first V+3.80+ site, V+3.80+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two equivalent VO6 octahedra, corners with four LiO4 tetrahedra, edges with two equivalent FeO6 octahedra, edges with three VO6 octahedra, and an edgeedge with one LiO4 tetrahedra. The corner-sharing octahedral tilt angles are 50°. There are a spread of V–O bond distances ranging from 1.88–2.20 Å. In the second V+3.80+ site, V+3.80+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with four VO6 octahedra, corners with six LiO4 tetrahedra, an edgeedge with one VO6 octahedra, and edges with two FeO6 octahedra. The corner-sharing octahedra tilt angles range from 50–52°. There are a spread of V–O bond distances ranging from 1.90–2.09 Å. In the third V+3.80+ site, V+3.80+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two equivalent VO6 octahedra, corners with four LiO4 tetrahedra, an edgeedge with one VO6 octahedra, edges with four FeO6 octahedra, and an edgeedge with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 49–50°. There are a spread of V–O bond distances ranging from 1.88–2.19 Å. In the fourth V+3.80+ site, V+3.80+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two equivalent VO6 octahedra, corners with four FeO6 octahedra, corners with six LiO4 tetrahedra, an edgeedge with one FeO6 octahedra, and edges with two VO6 octahedra. The corner-sharing octahedra tilt angles range from 49–52°. There are a spread of V–O bond distances ranging from 1.89–2.09 Å. In the fifth V+3.80+ site, V+3.80+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two equivalent VO6 octahedra, corners with four LiO4 tetrahedra, edges with two equivalent FeO6 octahedra, edges with three VO6 octahedra, and an edgeedge with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 50–51°. There are a spread of V–O bond distances ranging from 2.00–2.07 Å. There are three inequivalent Fe3+ sites. In the first Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two equivalent VO6 octahedra, corners with four LiO4 tetrahedra, edges with two equivalent FeO6 octahedra, edges with three VO6 octahedra, and an edgeedge with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 50–51°. There are a spread of Fe–O bond distances ranging from 1.99–2.09 Å. In the second Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two equivalent VO6 octahedra, corners with four LiO4 tetrahedra, edges with two equivalent FeO6 octahedra, edges with three VO6 octahedra, and an edgeedge with one LiO4 tetrahedra. The corner-sharing octahedral tilt angles are 52°. There are a spread of Fe–O bond distances ranging from 2.00–2.06 Å. In the third Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two equivalent VO6 octahedra, corners with four LiO4 tetrahedra, edges with five VO6 octahedra, and an edgeedge with one LiO4 tetrahedra. The corner-sharing octahedral tilt angles are 52°. There are a spread of Fe–O bond distances ranging from 1.98–2.07 Å. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, two V+3.80+, and one Fe3+ atom. In the second O2- site, O2- is bonded to one Li1+, one V+3.80+, and two Fe3+ atoms to form distorted corner-sharing OLiVFe2 tetrahedra. In the third O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one V+3.80+, and two Fe3+ atoms. In the fourth O2- site, O2- is bonded to one Li1+, one V+3.80+, and two Fe3+ atoms to form distorted corner-sharing OLiVFe2 tetrahedra. In the fifth O2- site, O2- is bonded to one Li1+, two V+3.80+, and one Fe3+ atom to form corner-sharing OLiV2Fe tetrahedra. In the sixth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, two V+3.80+, and one Fe3+ atom. In the seventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two V+3.80+, and one Fe3+ atom. In the eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two V+3.80+, and one Fe3+ atom. In the ninth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one V+3.80+, and two Fe3+ atoms. In the tenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three V+3.80+ atoms. In the eleventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two V+3.80+, and one Fe3+ atom. In the twelfth O2- site, O2- is bonded to one Li1+, two V+3.80+, and one Fe3+ atom to form distorted corner-sharing OLiV2Fe tetrahedra. In the thirteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, two V+3.80+, and one Fe3+ atom. In the fourteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two V+3.80+, and one Fe3+ atom. In the fifteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three V+3.80+ atoms. In the sixteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, two V+3.80+, and one Fe3+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li4Ti3V3(CoO8)2 by Materials Project

Li4Ti3V3(CoO8)2 is Spinel-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are four inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three equivalent CoO6 octahedra, corners with four TiO6 octahedra, and corners with five VO6 octahedra. The corner-sharing octahedra tilt angles range from 54–66°. There are a spread of Li–O bond distances ranging from 1.97–2.07 Å. In the second Li1+ site, Li1+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.79–1.97 Å. In the third Li1+ site, Li1+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.80–1.96 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three equivalent CoO6 octahedra, corners with four VO6 octahedra, and corners with five TiO6 octahedra. The corner-sharing octahedra tilt angles range from 55–66°. There are a spread of Li–O bond distances ranging from 1.98–2.05 Å. There are three inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two equivalent CoO6 octahedra, corners with three LiO4 tetrahedra, an edgeedge with one CoO6 octahedra, edges with two equivalent TiO6 octahedra, and edges with two equivalent VO6 octahedra. The corner-sharing octahedra tilt angles range from 51–54°. There are a spread of Ti–O bond distances ranging from 1.91–2.03 Å. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two equivalent CoO6 octahedra, corners with three LiO4 tetrahedra, an edgeedge with one CoO6 octahedra, edges with two equivalent TiO6 octahedra, and edges with two equivalent VO6 octahedra. The corner-sharing octahedra tilt angles range from 53–56°. There are a spread of Ti–O bond distances ranging from 1.89–2.08 Å. In the third Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two equivalent CoO6 octahedra, corners with three LiO4 tetrahedra, an edgeedge with one CoO6 octahedra, and edges with four VO6 octahedra. The corner-sharing octahedra tilt angles range from 51–57°. There are a spread of Ti–O bond distances ranging from 1.88–2.06 Å. There are three inequivalent V4+ sites. In the first V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two equivalent CoO6 octahedra, corners with three LiO4 tetrahedra, an edgeedge with one CoO6 octahedra, and edges with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 50–53°. There are a spread of V–O bond distances ranging from 1.87–2.05 Å. In the second V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two equivalent CoO6 octahedra, corners with three LiO4 tetrahedra, an edgeedge with one CoO6 octahedra, edges with two equivalent TiO6 octahedra, and edges with two equivalent VO6 octahedra. The corner-sharing octahedra tilt angles range from 49–54°. There are a spread of V–O bond distances ranging from 1.87–2.08 Å. In the third V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two equivalent CoO6 octahedra, corners with three LiO4 tetrahedra, an edgeedge with one CoO6 octahedra, edges with two equivalent TiO6 octahedra, and edges with two equivalent VO6 octahedra. The corner-sharing octahedra tilt angles range from 50–56°. There are a spread of V–O bond distances ranging from 1.88–2.06 Å. There are two inequivalent Co2+ sites. In the first Co2+ site, Co2+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with two equivalent TiO6 octahedra, corners with four VO6 octahedra, corners with three equivalent LiO4 tetrahedra, an edgeedge with one VO6 octahedra, and edges with two TiO6 octahedra. The corner-sharing octahedra tilt angles range from 49–57°. There are a spread of Co–O bond distances ranging from 2.07–2.22 Å. In the second Co2+ site, Co2+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with two equivalent VO6 octahedra, corners with four TiO6 octahedra, corners with three equivalent LiO4 tetrahedra, an edgeedge with one TiO6 octahedra, and edges with two VO6 octahedra. The corner-sharing octahedra tilt angles range from 50–56°. There are a spread of Co–O bond distances ranging from 2.07–2.26 Å. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Ti4+, one V4+, and one Co2+ atom. In the second O2- site, O2- is bonded to one Li1+, two Ti4+, and one Co2+ atom to form distorted OLiTi2Co tetrahedra that share corners with four OLiTi2V tetrahedra and edges with two OLiTiVCo tetrahedra. In the third O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, two Ti4+, and one V4+ atom. In the fourth O2- site, O2- is bonded to one Li1+, two Ti4+, and one V4+ atom to form distorted corner-sharing OLiTi2V tetrahedra. In the fifth O2- site, O2- is bonded to one Li1+, one Ti4+, and two V4+ atoms to form distorted corner-sharing OLiTiV2 tetrahedra. In the sixth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Ti4+, one V4+, and one Co2+ atom. In the seventh O2- site, O2- is bonded to one Li1+, one Ti4+, one V4+, and one Co2+ atom to form distorted OLiTiVCo tetrahedra that share corners with four OLiTi2Co tetrahedra and edges with two OLiTiVCo tetrahedra. In the eighth O2- site, O2- is bonded to one Li1+, one Ti4+, one V4+, and one Co2+ atom to form distorted OLiTiVCo tetrahedra that share corners with four OLiTi2Co tetrahedra and edges with two OLiTiVCo tetrahedra. In the ninth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, two Ti4+, and one Co2+ atom. In the tenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two V4+, and one Co2+ atom. In the eleventh O2- site, O2- is bonded to one Li1+, one Ti4+, one V4+, and one Co2+ atom to form distorted OLiTiVCo tetrahedra that share corners with four OLiTiV2 tetrahedra and edges with two OLiV2Co tetrahedra. In the twelfth O2- site, O2- is bonded to one Li1+, one Ti4+, one V4+, and one Co2+ atom to form distorted OLiTiVCo tetrahedra that share corners with four OLiTiV2 tetrahedra and edges with two OLiV2Co tetrahedra. In the thirteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Ti4+, and two V4+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Ti4+, one V4+, and one Co2+ atom. In the fifteenth O2- site, O2- is bonded to one Li1+, two V4+, and one Co2+ atom to form distorted OLiV2Co tetrahedra that share corners with four OLiTiV2 tetrahedra and edges with two OLiTiVCo tetrahedra. In the sixteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Ti4+, one V4+, and one Co2+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li4Ti5Mn3O16 by Materials Project

Li4Ti5Mn3O16 is Hausmannite-derived structured and crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are four inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with five MnO6 octahedra and corners with seven TiO6 octahedra. The corner-sharing octahedra tilt angles range from 53–66°. There are a spread of Li–O bond distances ranging from 1.98–2.03 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with two equivalent MnO6 octahedra, corners with four TiO6 octahedra, an edgeedge with one MnO6 octahedra, and edges with two equivalent TiO6 octahedra. The corner-sharing octahedra tilt angles range from 55–68°. There are a spread of Li–O bond distances ranging from 1.85–2.05 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with five TiO6 octahedra, an edgeedge with one TiO6 octahedra, and edges with two equivalent MnO6 octahedra. The corner-sharing octahedra tilt angles range from 52–66°. There are a spread of Li–O bond distances ranging from 1.83–2.04 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four MnO6 octahedra and corners with eight TiO6 octahedra. The corner-sharing octahedra tilt angles range from 51–67°. There are a spread of Li–O bond distances ranging from 1.99–2.10 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 two equivalent TiO6 octahedra, corners with four LiO4 tetrahedra, an edgeedge with one TiO6 octahedra, edges with four equivalent MnO6 octahedra, and an edgeedge with one LiO4 tetrahedra. The corner-sharing octahedral tilt angles are 47°. There are a spread of Ti–O bond distances ranging from 1.83–2.18 Å. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two equivalent TiO6 octahedra, corners with four LiO4 tetrahedra, edges with two equivalent MnO6 octahedra, edges with three TiO6 octahedra, and an edgeedge with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 49–53°. There are a spread of Ti–O bond distances ranging from 1.83–2.24 Å. In the third Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with two equivalent TiO6 octahedra, corners with four equivalent MnO6 octahedra, corners with six LiO4 tetrahedra, an edgeedge with one MnO6 octahedra, and edges with two equivalent TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–55°. There are a spread of Ti–O bond distances ranging from 1.86–2.17 Å. In the fourth Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with four equivalent TiO6 octahedra, corners with six LiO4 tetrahedra, an edgeedge with one TiO6 octahedra, and edges with two equivalent MnO6 octahedra. The corner-sharing octahedra tilt angles range from 49–54°. There are a spread of Ti–O bond distances ranging from 1.85–2.18 Å. There are two inequivalent Mn+2.67+ sites. In the first Mn+2.67+ site, Mn+2.67+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent TiO6 octahedra, corners with four LiO4 tetrahedra, edges with five TiO6 octahedra, and an edgeedge with one LiO4 tetrahedra. The corner-sharing octahedral tilt angles are 54°. There are a spread of Mn–O bond distances ranging from 2.06–2.20 Å. In the second Mn+2.67+ site, Mn+2.67+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent TiO6 octahedra, corners with four LiO4 tetrahedra, edges with two equivalent MnO6 octahedra, edges with three TiO6 octahedra, and an edgeedge with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–55°. There are a spread of Mn–O bond distances ranging from 1.94–2.27 Å. There are twelve inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Ti4+, and one Mn+2.67+ atom. In the second O2- site, O2- is bonded to one Li1+ and three Ti4+ atoms to form a mixture of distorted edge and corner-sharing OLiTi3 tetrahedra. In the third O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, two equivalent Ti4+, and one Mn+2.67+ atom. In the fourth O2- site, O2- is bonded to one Li1+, two equivalent Ti4+, and one Mn+2.67+ atom to form corner-sharing OLiTi2Mn tetrahedra. In the fifth O2- site, O2- is bonded to one Li1+, one Ti4+, and two equivalent Mn+2.67+ atoms to form corner-sharing OLiTiMn2 tetrahedra. In the sixth O2- site, O2- is bonded to one Li1+, two Ti4+, and one Mn+2.67+ atom to form a mixture of distorted edge and corner-sharing OLiTi2Mn tetrahedra. In the seventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Ti4+ atoms. In the eighth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Ti4+, and two equivalent Mn+2.67+ atoms. In the ninth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Ti4+, and one Mn+2.67+ atom. In the tenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Ti4+, and two equivalent Mn+2.67+ atoms. In the eleventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Ti4+, and one Mn+2.67+ atom. In the twelfth O2- site, O2- is bonded to one Li1+, one Ti4+, and two equivalent Mn+2.67+ atoms to form corner-sharing OLiTiMn2 tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on Li4Ti2V3Cu3O16 by Materials Project

Li4Ti2V3Cu3O16 is Hausmannite-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are four inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four CuO6 octahedra and corners with five VO6 octahedra. The corner-sharing octahedra tilt angles range from 44–71°. There are a spread of Li–O bond distances ranging from 1.99–2.09 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one CuO6 octahedra, corners with two VO6 octahedra, an edgeedge with one VO6 octahedra, and edges with two CuO6 octahedra. The corner-sharing octahedra tilt angles range from 62–66°. There are a spread of Li–O bond distances ranging from 1.87–1.98 Å. In the third Li1+ site, Li1+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.88–2.00 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three equivalent TiO6 octahedra, corners with four VO6 octahedra, and corners with five CuO6 octahedra. The corner-sharing octahedra tilt angles range from 51–66°. There is three shorter (1.95 Å) and one longer (1.99 Å) Li–O bond length. There are two inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with two equivalent CuO6 octahedra, corners with four VO6 octahedra, corners with three equivalent LiO4 tetrahedra, an edgeedge with one VO6 octahedra, and edges with two CuO6 octahedra. The corner-sharing octahedra tilt angles range from 50–55°. There are a spread of Ti–O bond distances ranging from 1.84–2.45 Å. In the second 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 1.83–2.28 Å. There are three inequivalent V5+ sites. In the first V5+ site, V5+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two equivalent TiO6 octahedra, corners with four LiO4 tetrahedra, edges with two equivalent VO6 octahedra, and edges with two equivalent CuO6 octahedra. The corner-sharing octahedra tilt angles range from 50–55°. There are a spread of V–O bond distances ranging from 1.79–2.05 Å. In the second V5+ site, V5+ is bonded to six O2- atoms to form VO6 octahedra that share corners with three LiO4 tetrahedra, an edgeedge with one TiO6 octahedra, edges with four CuO6 octahedra, and an edgeedge with one LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.77–2.14 Å. In the third V5+ site, V5+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two equivalent TiO6 octahedra, corners with four LiO4 tetrahedra, edges with two equivalent VO6 octahedra, and edges with two equivalent CuO6 octahedra. The corner-sharing octahedra tilt angles range from 51–52°. There are a spread of V–O bond distances ranging from 1.75–2.18 Å. There are three inequivalent Cu+1.67+ sites. In the first Cu+1.67+ site, Cu+1.67+ is bonded to six O2- atoms to form distorted CuO6 octahedra that share corners with three LiO4 tetrahedra, an edgeedge with one TiO6 octahedra, edges with two equivalent VO6 octahedra, edges with two equivalent CuO6 octahedra, and an edgeedge with one LiO4 tetrahedra. There are a spread of Cu–O bond distances ranging from 1.92–2.44 Å. In the second Cu+1.67+ site, Cu+1.67+ is bonded to six O2- atoms to form distorted CuO6 octahedra that share corners with three LiO4 tetrahedra, an edgeedge with one TiO6 octahedra, edges with two equivalent VO6 octahedra, edges with two equivalent CuO6 octahedra, and an edgeedge with one LiO4 tetrahedra. There are a spread of Cu–O bond distances ranging from 1.92–2.43 Å. In the third Cu+1.67+ site, Cu+1.67+ is bonded to six O2- atoms to form CuO6 octahedra that share corners with two equivalent TiO6 octahedra, corners with four LiO4 tetrahedra, and edges with four VO6 octahedra. The corner-sharing octahedra tilt angles range from 50–52°. There are a spread of Cu–O bond distances ranging from 1.97–2.24 Å. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Ti4+, one V5+, and one Cu+1.67+ atom. In the second O2- site, O2- is bonded to one Li1+, one Ti4+, and two Cu+1.67+ atoms to form a mixture of edge and corner-sharing OLiTiCu2 tetrahedra. In the third O2- site, O2- is bonded to one Li1+, one V5+, and two Cu+1.67+ atoms to form distorted OLiVCu2 tetrahedra that share corners with four OLiVCu2 tetrahedra and an edgeedge with one OLiTiCu2 tetrahedra. In the fourth O2- site, O2- is bonded to one Li1+, one V5+, and two Cu+1.67+ atoms to form corner-sharing OLiVCu2 tetrahedra. In the fifth O2- site, O2- is bonded to one Li1+, two V5+, and one Cu+1.67+ atom to form corner-sharing OLiV2Cu tetrahedra. In the sixth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Ti4+, one V5+, and one Cu+1.67+ atom. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, one Ti4+, one V5+, and one Cu+1.67+ atom. In the eighth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, one Ti4+, one V5+, and one Cu+1.67+ atom. In the ninth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Ti4+, and two Cu+1.67+ atoms. In the tenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Ti4+, and two V5+ atoms. In the eleventh O2- site, O2- is bonded to one Li1+, one Ti4+, one V5+, and one Cu+1.67+ atom to form distorted corner-sharing OLiTiVCu tetrahedra. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, one Ti4+, one V5+, and one Cu+1.67+ atom. In the thirteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, two V5+, and one Cu+1.67+ atom. In the fourteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, one Ti4+, one V5+, and one Cu+1.67+ atom. In the fifteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Ti4+, and two V5+ atoms. In the sixteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, one Ti4+, one V5+, and one Cu+1.67+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li4V5Cu3O16 by Materials Project

Li4V5Cu3O16 is Hausmannite-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are four inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four CuO6 octahedra and corners with eight VO6 octahedra. The corner-sharing octahedra tilt angles range from 38–73°. There are a spread of Li–O bond distances ranging from 1.97–2.03 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one CuO6 octahedra, corners with five VO6 octahedra, an edgeedge with one VO6 octahedra, and edges with two CuO6 octahedra. The corner-sharing octahedra tilt angles range from 48–66°. There are a spread of Li–O bond distances ranging from 1.85–2.01 Å. In the third Li1+ site, Li1+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.92–2.04 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four VO6 octahedra and corners with five CuO6 octahedra. The corner-sharing octahedra tilt angles range from 49–66°. There are a spread of Li–O bond distances ranging from 1.91–1.96 Å. There are five inequivalent V5+ sites. In the first V5+ site, V5+ is bonded to six O2- atoms to form distorted VO6 octahedra that share corners with four LiO4 tetrahedra, edges with two equivalent CuO6 octahedra, and edges with three VO6 octahedra. There are a spread of V–O bond distances ranging from 1.77–2.23 Å. In the second V5+ site, V5+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of V–O bond distances ranging from 1.77–2.38 Å. In the third V5+ site, V5+ is bonded to six O2- atoms to form distorted VO6 octahedra that share corners with two equivalent VO6 octahedra, corners with three LiO4 tetrahedra, edges with four CuO6 octahedra, and an edgeedge with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 47–48°. There are a spread of V–O bond distances ranging from 1.76–2.32 Å. In the fourth V5+ site, V5+ is bonded to six O2- atoms to form distorted VO6 octahedra that share corners with two equivalent VO6 octahedra, corners with four CuO6 octahedra, corners with six LiO4 tetrahedra, an edgeedge with one CuO6 octahedra, and edges with two VO6 octahedra. The corner-sharing octahedra tilt angles range from 47–53°. There are a spread of V–O bond distances ranging from 1.78–2.18 Å. In the fifth V5+ site, V5+ is bonded to six O2- atoms to form distorted VO6 octahedra that share corners with four LiO4 tetrahedra, edges with two equivalent CuO6 octahedra, and edges with three VO6 octahedra. There are a spread of V–O bond distances ranging from 1.77–2.21 Å. There are three inequivalent Cu1+ sites. In the first Cu1+ site, Cu1+ is bonded to six O2- atoms to form distorted CuO6 octahedra that share corners with two equivalent VO6 octahedra, corners with three LiO4 tetrahedra, edges with two equivalent VO6 octahedra, edges with two equivalent CuO6 octahedra, and an edgeedge with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 52–53°. There are a spread of Cu–O bond distances ranging from 1.93–2.44 Å. In the second Cu1+ site, Cu1+ is bonded to six O2- atoms to form distorted CuO6 octahedra that share corners with two equivalent VO6 octahedra, corners with three LiO4 tetrahedra, edges with two equivalent VO6 octahedra, edges with two equivalent CuO6 octahedra, and an edgeedge with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 52–53°. There are a spread of Cu–O bond distances ranging from 1.93–2.43 Å. In the third Cu1+ site, Cu1+ is bonded to six O2- atoms to form CuO6 octahedra that share corners with four LiO4 tetrahedra and edges with five VO6 octahedra. There are a spread of Cu–O bond distances ranging from 1.92–2.23 Å. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two V5+, and one Cu1+ atom. In the second O2- site, O2- is bonded to one Li1+, one V5+, and two Cu1+ atoms to form a mixture of distorted edge and corner-sharing OLiVCu2 tetrahedra. In the third O2- site, O2- is bonded to one Li1+, one V5+, and two Cu1+ atoms to form a mixture of distorted edge and corner-sharing OLiVCu2 tetrahedra. In the fourth O2- site, O2- is bonded to one Li1+, one V5+, and two Cu1+ atoms to form corner-sharing OLiVCu2 tetrahedra. In the fifth O2- site, O2- is bonded in a tetrahedral geometry to one Li1+, two V5+, and one Cu1+ atom. In the sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two V5+, and one Cu1+ atom. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two V5+, and one Cu1+ atom. In the eighth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two V5+, and one Cu1+ atom. In the ninth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one V5+, and two Cu1+ atoms. In the tenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three V5+ atoms. In the eleventh O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two V5+, and one Cu1+ atom. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two V5+, and one Cu1+ atom. In the thirteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, two V5+, and one Cu1+ atom. In the fourteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two V5+, and one Cu1+ atom. In the fifteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three V5+ atoms. In the sixteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two V5+, and one Cu1+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li5TiMn9O20 by Materials Project

Li5TiMn9O20 is Spinel-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are ten inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one TiO6 octahedra and corners with eleven MnO6 octahedra. The corner-sharing octahedra tilt angles range from 50–64°. There are a spread of Li–O bond distances ranging from 2.00–2.03 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two equivalent TiO6 octahedra and corners with ten MnO6 octahedra. The corner-sharing octahedra tilt angles range from 52–63°. There are two shorter (1.99 Å) and two longer (2.04 Å) Li–O bond lengths. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one TiO6 octahedra and corners with eleven MnO6 octahedra. The corner-sharing octahedra tilt angles range from 54–62°. There are a spread of Li–O bond distances ranging from 1.97–2.01 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two equivalent TiO6 octahedra and corners with ten MnO6 octahedra. The corner-sharing octahedra tilt angles range from 53–68°. There are a spread of Li–O bond distances ranging from 2.01–2.05 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with twelve MnO6 octahedra. The corner-sharing octahedra tilt angles range from 54–64°. There are a spread of Li–O bond distances ranging from 2.01–2.04 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with twelve MnO6 octahedra. The corner-sharing octahedra tilt angles range from 54–65°. There are a spread of Li–O bond distances ranging from 1.96–2.05 Å. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three equivalent TiO6 octahedra and corners with nine MnO6 octahedra. The corner-sharing octahedra tilt angles range from 57–63°. There are a spread of Li–O bond distances ranging from 2.02–2.06 Å. In the eighth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three equivalent TiO6 octahedra and corners with nine MnO6 octahedra. The corner-sharing octahedra tilt angles range from 51–66°. There are a spread of Li–O bond distances ranging from 1.96–2.00 Å. In the ninth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with twelve MnO6 octahedra. The corner-sharing octahedra tilt angles range from 49–66°. There are a spread of Li–O bond distances ranging from 2.00–2.05 Å. In the tenth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with twelve MnO6 octahedra. The corner-sharing octahedra tilt angles range from 55–63°. There are a spread of Li–O bond distances ranging from 2.00–2.05 Å. There are two 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 MnO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.94–2.07 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 MnO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.88–2.09 Å. There are eighteen inequivalent Mn+3.44+ sites. In the first Mn+3.44+ site, Mn+3.44+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, an edgeedge with one TiO6 octahedra, and edges with five MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.93–2.14 Å. In the second Mn+3.44+ site, Mn+3.44+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, edges with two equivalent TiO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.94–2.23 Å. In the third Mn+3.44+ site, Mn+3.44+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.91–2.14 Å. In the fourth Mn+3.44+ site, Mn+3.44+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, edges with two equivalent TiO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.93–1.97 Å. In the fifth Mn+3.44+ site, Mn+3.44+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, an edgeedge with one TiO6 octahedra, and edges with five MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.93–2.16 Å. In the sixth Mn+3.44+ site, Mn+3.44+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.92–1.97 Å. In the seventh Mn+3.44+ site, Mn+3.44+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.95–2.12 Å. In the eighth Mn+3.44+ site, Mn+3.44+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, an edgeedge with one TiO6 octahedra, and edges with five MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.95–2.23 Å. In the ninth Mn+3.44+ site, Mn+3.44+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, an edgeedge with one TiO6 octahedra, and edges with five MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.97–2.26 Å. In the tenth Mn+3.44+ site, Mn+3.44+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.93–2.00 Å. In the eleventh Mn+3.44+ site, Mn+3.44+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, an edgeedge with one TiO6 octahedra, and edges with five MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.96–2.19 Å. In the twelfth Mn+3.44+ site, Mn+3.44+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, an edgeedge with one TiO6 octahedra, and edges with five MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.93–1.98 Å. In the thirteenth Mn+3.44+ site, Mn+3.44+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.95–1.98 Å. In the fourteenth Mn+3.44+ site, Mn+3.44+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, an edgeedge with one TiO6 octahedra, and edges with five MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.91–2.05 Å. In the fifteenth Mn+3.44+ site, Mn+3.44+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.93–2.17 Å. In the sixteenth Mn+3.44+ site, Mn+3.44+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, an edgeedge with one TiO6 octahedra, and edges with five MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.92–1.97 Å. In the seventeenth Mn+3.44+ site, Mn+3.44+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.95–2.20 Å. In the eighteenth Mn+3.44+ site, Mn+3.44+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.94–1.99 Å. There are forty inequivalent O2- sites. In the first O2- site, O2- is bonded to one Li1+, one Ti4+, and two Mn+3.44+ atoms to form distorted OLiTiMn2 tetrahedra that share corners with three OLiTiMn2 tetrahedra, corners with two OLiMn3 trigonal pyramids, and an edgeedge with one OLiTiMn2 trigonal pyramid. In the second O2- site, O2- is bonded to one Li1+, one Ti4+, and two Mn+3.44+ atoms to form distorted OLiTiMn2 trigonal pyramids that share corners with three OLiTiMn2 tetrahedra, a cornercorner with one OLiMn3 trigonal pyramid, and an edgeedge with one OLiTiMn2 tetrahedra. In the third O2- site, O2- is bonded to one Li1+ and three Mn+3.44+ atoms to form distorted OLiMn3 trigonal pyramids that share corners with three OLiTiMn2 tetrahedra and a cornercorner with one OLiMn3 trigonal pyramid. In the fourth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Mn+3.44+ atoms. In the fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Ti4+, and two Mn+3.44+ atoms. In the sixth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Ti4+, and two Mn+3.44+ atoms. In the seventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Mn+3.44+ atoms. In the eighth O2- site, O2- is bonded to one Li1+, one Ti4+, and two Mn+3.44+ atoms to form distorted OLiTiMn2 tetrahedra that share corners with two equivalent OLiTiMn2 tetrahedra, corners with three OLiMn3 trigonal pyramids, and an edgeedge with one OLiMn3 trigonal pyramid. In the ninth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Ti4+, and two Mn+3.44+ atoms. In the tenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Mn+3.44+ atoms. In the eleventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Mn+3.44+ atoms. In the twelfth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Mn+3.44+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Mn+3.44+ atoms. In the fourteenth O2- site, O2- is bonded to one Li1+ and three Mn+3.44+ atoms to form distorted corner-sharing OLiMn3 trigonal pyramids. In the fifteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Mn+3.44+ atoms. In the sixteenth O2- site, O2- is bonded to one Li1+ and three Mn+3.44+ atoms to form distorted OLiMn3 trigonal pyramids that share corners with two OLiTiMn2 tetrahedra, corners with two OLiMn3 trigonal pyramids, and an edgeedge with one OLiTiMn2 tetrahedra. In the seventeenth O2- site, O2- is bonded to one Li1+ and three Mn+3.44+ atoms to form distorted corner-sharing OLiMn3 tetrahedra. In the eighteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Mn+3.44+ atoms. In the nineteenth O2- site, O2- is bonded to one Li1+ and three Mn+3.44+ atoms to form distorted corner-sharing OLiMn3 tetrahedra. In the twentieth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Ti4+, and two Mn+3.44+ atoms. In the twenty-first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Mn+3.44+ atoms. In the twenty-second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Mn+3.44+ atoms. In the twenty-third O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Ti4+, and two Mn+3.44+ atoms. In the twenty-fourth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Mn+3.44+ atoms. In the twenty-fifth O2-

36 MATERIALS SCIENCE↗

Materials Data on Li4V2Fe3Co3O16 by Materials Project

Li4V2Fe3Co3O16 is Hausmannite-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are four inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three equivalent VO6 octahedra, corners with four CoO6 octahedra, and corners with five FeO6 octahedra. The corner-sharing octahedra tilt angles range from 56–63°. There is one shorter (1.94 Å) and three longer (1.98 Å) Li–O bond length. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one CoO6 octahedra, corners with two FeO6 octahedra, corners with three equivalent VO6 octahedra, an edgeedge with one FeO6 octahedra, and edges with two CoO6 octahedra. The corner-sharing octahedra tilt angles range from 52–66°. There are a spread of Li–O bond distances ranging from 1.80–2.01 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one FeO6 octahedra, corners with two CoO6 octahedra, corners with three equivalent VO6 octahedra, an edgeedge with one CoO6 octahedra, and edges with two FeO6 octahedra. The corner-sharing octahedra tilt angles range from 53–67°. There are a spread of Li–O bond distances ranging from 1.80–2.04 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three equivalent VO6 octahedra, corners with four FeO6 octahedra, and corners with five CoO6 octahedra. The corner-sharing octahedra tilt angles range from 54–66°. There are a spread of Li–O bond distances ranging from 1.93–2.01 Å. There are two inequivalent V5+ sites. In the first V5+ site, V5+ is bonded to six O2- atoms to form distorted VO6 octahedra that share corners with two equivalent CoO6 octahedra, corners with four FeO6 octahedra, corners with six LiO4 tetrahedra, an edgeedge with one FeO6 octahedra, and edges with two CoO6 octahedra. The corner-sharing octahedra tilt angles range from 49–53°. There are a spread of V–O bond distances ranging from 1.83–2.10 Å. In the second V5+ site, V5+ is bonded to six O2- atoms to form distorted VO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with four CoO6 octahedra, corners with six LiO4 tetrahedra, an edgeedge with one CoO6 octahedra, and edges with two FeO6 octahedra. The corner-sharing octahedra tilt angles range from 46–54°. There are a spread of V–O bond distances ranging from 1.79–2.07 Å. There are three inequivalent Fe3+ sites. In the first Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two equivalent VO6 octahedra, corners with four LiO4 tetrahedra, an edgeedge with one VO6 octahedra, edges with four CoO6 octahedra, and an edgeedge with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 46–52°. There are a spread of Fe–O bond distances ranging from 1.95–2.13 Å. In the second Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two equivalent VO6 octahedra, corners with four LiO4 tetrahedra, an edgeedge with one VO6 octahedra, edges with two equivalent FeO6 octahedra, edges with two equivalent CoO6 octahedra, and an edgeedge with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 51–53°. There are a spread of Fe–O bond distances ranging from 1.94–2.15 Å. In the third Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two equivalent VO6 octahedra, corners with four LiO4 tetrahedra, an edgeedge with one VO6 octahedra, edges with two equivalent FeO6 octahedra, edges with two equivalent CoO6 octahedra, and an edgeedge with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 49–50°. There are a spread of Fe–O bond distances ranging from 1.94–2.17 Å. There are three inequivalent Co3+ sites. In the first Co3+ site, Co3+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with two equivalent VO6 octahedra, corners with four LiO4 tetrahedra, an edgeedge with one VO6 octahedra, edges with two equivalent FeO6 octahedra, edges with two equivalent CoO6 octahedra, and an edgeedge with one LiO4 tetrahedra. The corner-sharing octahedral tilt angles are 50°. There are a spread of Co–O bond distances ranging from 1.89–2.08 Å. In the second Co3+ site, Co3+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with two equivalent VO6 octahedra, corners with four LiO4 tetrahedra, an edgeedge with one VO6 octahedra, edges with two equivalent FeO6 octahedra, edges with two equivalent CoO6 octahedra, and an edgeedge with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 51–54°. There are a spread of Co–O bond distances ranging from 1.85–2.26 Å. In the third Co3+ site, Co3+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with two equivalent VO6 octahedra, corners with four LiO4 tetrahedra, an edgeedge with one VO6 octahedra, edges with four FeO6 octahedra, and an edgeedge with one LiO4 tetrahedra. The corner-sharing octahedral tilt angles are 50°. There are a spread of Co–O bond distances ranging from 1.90–2.08 Å. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one V5+, one Fe3+, and one Co3+ atom. In the second O2- site, O2- is bonded to one Li1+, one V5+, and two Co3+ atoms to form distorted OLiVCo2 tetrahedra that share corners with three OLiFeCo2 tetrahedra, a cornercorner with one OLiVFeCo trigonal pyramid, an edgeedge with one OLiVFeCo tetrahedra, and an edgeedge with one OLiVFeCo trigonal pyramid. In the third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Fe3+, and two Co3+ atoms. In the fourth O2- site, O2- is bonded to one Li1+, one Fe3+, and two Co3+ atoms to form OLiFeCo2 tetrahedra that share corners with four OLiVCo2 tetrahedra and corners with two equivalent OLiVFeCo trigonal pyramids. In the fifth O2- site, O2- is bonded to one Li1+, two Fe3+, and one Co3+ atom to form corner-sharing OLiFe2Co tetrahedra. In the sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one V5+, one Fe3+, and one Co3+ atom. In the seventh O2- site, O2- is bonded to one Li1+, one V5+, one Fe3+, and one Co3+ atom to form distorted OLiVFeCo trigonal pyramids that share corners with four OLiVCo2 tetrahedra and edges with two OLiVFeCo tetrahedra. In the eighth O2- site, O2- is bonded to one Li1+, one V5+, one Fe3+, and one Co3+ atom to form distorted OLiVFeCo tetrahedra that share corners with three OLiVCo2 tetrahedra, a cornercorner with one OLiVFeCo trigonal pyramid, an edgeedge with one OLiVCo2 tetrahedra, and an edgeedge with one OLiVFeCo trigonal pyramid. In the ninth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one V5+, and two Co3+ atoms. In the tenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one V5+, and two Fe3+ atoms. In the eleventh O2- site, O2- is bonded to one Li1+, one V5+, one Fe3+, and one Co3+ atom to form distorted OLiVFeCo trigonal pyramids that share corners with two equivalent OLiFe2Co tetrahedra, a cornercorner with one OLiVFeCo trigonal pyramid, and an edgeedge with one OLiVFeCo trigonal pyramid. In the twelfth O2- site, O2- is bonded to one Li1+, one V5+, one Fe3+, and one Co3+ atom to form distorted OLiVFeCo trigonal pyramids that share corners with two equivalent OLiFe2Co tetrahedra, a cornercorner with one OLiVFeCo trigonal pyramid, and an edgeedge with one OLiVFeCo trigonal pyramid. In the thirteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Fe3+, and one Co3+ atom. In the fourteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one V5+, one Fe3+, and one Co3+ atom. In the fifteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one V5+, and two Fe3+ atoms. In the sixteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one V5+, one Fe3+, and one Co3+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li2MnNi(PO4)2 by Materials Project

Li2MnNi(PO4)2 is Ilmenite-derived structured and crystallizes in the monoclinic P2_1/m space group. The structure is three-dimensional. there are two inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with four equivalent NiO6 octahedra, corners with two equivalent PO4 tetrahedra, edges with two equivalent LiO6 octahedra, edges with two equivalent MnO6 octahedra, and edges with two equivalent PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 57–66°. There are a spread of Li–O bond distances ranging from 2.12–2.17 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with four equivalent MnO6 octahedra, corners with two equivalent PO4 tetrahedra, edges with two equivalent LiO6 octahedra, edges with two equivalent NiO6 octahedra, and edges with two equivalent PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 58–68°. There are a spread of Li–O bond distances ranging from 2.10–2.22 Å. Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with four equivalent LiO6 octahedra, corners with four equivalent NiO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 52–68°. There are a spread of Mn–O bond distances ranging from 2.13–2.27 Å. Ni2+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with four equivalent LiO6 octahedra, corners with four equivalent MnO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 52–66°. There are a spread of Ni–O bond distances ranging from 2.05–2.19 Å. There are two inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with two equivalent LiO6 octahedra, corners with three equivalent NiO6 octahedra, an edgeedge with one MnO6 octahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 51–59°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one NiO6 octahedra, corners with two equivalent LiO6 octahedra, corners with three equivalent MnO6 octahedra, an edgeedge with one NiO6 octahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–56°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. There are six inequivalent O2- sites. In the first O2- site, O2- is bonded in a rectangular see-saw-like geometry to two equivalent Li1+, one Ni2+, and one P5+ atom. In the second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two equivalent Li1+, one Mn2+, and one P5+ atom. In the third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Mn2+, one Ni2+, and one P5+ atom. In the fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Mn2+, one Ni2+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two equivalent Li1+, one Ni2+, and one P5+ atom. In the sixth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two equivalent Li1+, one Mn2+, and one P5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li4Nb2Cr3Ni3O16 by Materials Project

Li4Nb2Cr3Ni3O16 is Hausmannite-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are four inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three equivalent NbO6 octahedra, corners with four CrO6 octahedra, and corners with five NiO6 octahedra. The corner-sharing octahedra tilt angles range from 53–64°. 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 distorted LiO4 trigonal pyramids that share a cornercorner with one CrO6 octahedra, corners with two NiO6 octahedra, corners with three equivalent NbO6 octahedra, an edgeedge with one NiO6 octahedra, and edges with two CrO6 octahedra. The corner-sharing octahedra tilt angles range from 59–66°. There are a spread of Li–O bond distances ranging from 1.85–1.99 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one NiO6 octahedra, corners with two CrO6 octahedra, corners with three equivalent NbO6 octahedra, an edgeedge with one CrO6 octahedra, and edges with two NiO6 octahedra. The corner-sharing octahedra tilt angles range from 54–66°. There are a spread of Li–O bond distances ranging from 1.84–1.97 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three equivalent NbO6 octahedra, corners with four NiO6 octahedra, and corners with five CrO6 octahedra. The corner-sharing octahedra tilt angles range from 48–64°. There are a spread of Li–O bond distances ranging from 1.99–2.03 Å. There are two inequivalent Nb5+ sites. In the first Nb5+ site, Nb5+ is bonded to six O2- atoms to form distorted NbO6 octahedra that share corners with two equivalent CrO6 octahedra, corners with four NiO6 octahedra, corners with six LiO4 tetrahedra, an edgeedge with one NiO6 octahedra, and edges with two CrO6 octahedra. The corner-sharing octahedra tilt angles range from 50–55°. There are a spread of Nb–O bond distances ranging from 1.92–2.22 Å. In the second Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with two equivalent NiO6 octahedra, corners with four CrO6 octahedra, corners with three equivalent LiO4 tetrahedra, corners with three equivalent LiO4 trigonal pyramids, an edgeedge with one CrO6 octahedra, and edges with two NiO6 octahedra. The corner-sharing octahedra tilt angles range from 51–54°. There are a spread of Nb–O bond distances ranging from 1.94–2.16 Å. There are three inequivalent Cr4+ sites. In the first Cr4+ site, Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with two equivalent NbO6 octahedra, corners with four LiO4 tetrahedra, an edgeedge with one NbO6 octahedra, edges with two equivalent CrO6 octahedra, edges with two equivalent NiO6 octahedra, and an edgeedge with one LiO4 trigonal pyramid. The corner-sharing octahedral tilt angles are 52°. There are a spread of Cr–O bond distances ranging from 1.86–2.15 Å. In the second Cr4+ site, Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with two equivalent NbO6 octahedra, corners with four LiO4 tetrahedra, an edgeedge with one NbO6 octahedra, edges with two equivalent CrO6 octahedra, edges with two equivalent NiO6 octahedra, and an edgeedge with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 52–54°. There are a spread of Cr–O bond distances ranging from 1.96–2.09 Å. In the third Cr4+ site, Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with two equivalent NbO6 octahedra, corners with three LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one NbO6 octahedra, edges with four NiO6 octahedra, and an edgeedge with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 50–51°. There are a spread of Cr–O bond distances ranging from 1.85–2.15 Å. There are three inequivalent Ni2+ sites. In the first Ni2+ site, Ni2+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with two equivalent NbO6 octahedra, corners with four LiO4 tetrahedra, an edgeedge with one NbO6 octahedra, edges with four CrO6 octahedra, and an edgeedge with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 51–52°. There are a spread of Ni–O bond distances ranging from 2.02–2.09 Å. In the second Ni2+ site, Ni2+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with two equivalent NbO6 octahedra, corners with three LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one NbO6 octahedra, edges with two equivalent CrO6 octahedra, edges with two equivalent NiO6 octahedra, and an edgeedge with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 54–55°. There are a spread of Ni–O bond distances ranging from 1.98–2.14 Å. In the third Ni2+ site, Ni2+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with two equivalent NbO6 octahedra, corners with three LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one NbO6 octahedra, edges with two equivalent CrO6 octahedra, edges with two equivalent NiO6 octahedra, and an edgeedge with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 52–53°. There are a spread of Ni–O bond distances ranging from 1.98–2.13 Å. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Nb5+, one Cr4+, and one Ni2+ atom. In the second O2- site, O2- is bonded to one Li1+, one Nb5+, and two Cr4+ atoms to form distorted OLiNbCr2 tetrahedra that share corners with four OLiCr2Ni tetrahedra and edges with two OLiNbCrNi tetrahedra. In the third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Cr4+, and one Ni2+ atom. In the fourth O2- site, O2- is bonded to one Li1+, two Cr4+, and one Ni2+ atom to form corner-sharing OLiCr2Ni tetrahedra. In the fifth O2- site, O2- is bonded to one Li1+, one Cr4+, and two Ni2+ atoms to form corner-sharing OLiCrNi2 tetrahedra. In the sixth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Nb5+, one Cr4+, and one Ni2+ atom. In the seventh O2- site, O2- is bonded to one Li1+, one Nb5+, one Cr4+, and one Ni2+ atom to form distorted OLiNbCrNi tetrahedra that share corners with four OLiNbCr2 tetrahedra and edges with two OLiNbCrNi tetrahedra. In the eighth O2- site, O2- is bonded to one Li1+, one Nb5+, one Cr4+, and one Ni2+ atom to form distorted OLiNbCrNi tetrahedra that share corners with four OLiNbCr2 tetrahedra and edges with two OLiNbCrNi tetrahedra. In the ninth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Nb5+, and two Cr4+ atoms. In the tenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Nb5+, and two Ni2+ atoms. In the eleventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Nb5+, one Cr4+, and one Ni2+ atom. In the twelfth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Nb5+, one Cr4+, and one Ni2+ atom. In the thirteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Cr4+, and two Ni2+ atoms. In the fourteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Nb5+, one Cr4+, and one Ni2+ atom. In the fifteenth O2- site, O2- is bonded to one Li1+, one Nb5+, and two Ni2+ atoms to form distorted corner-sharing OLiNbNi2 tetrahedra. In the sixteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Nb5+, one Cr4+, and one Ni2+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Mn12O7F17 by Materials Project

Mn12O7F17 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twelve inequivalent Mn+2.58+ sites. In the first Mn+2.58+ site, Mn+2.58+ is bonded to six F1- atoms to form distorted corner-sharing MnF6 octahedra. The corner-sharing octahedra tilt angles range from 44–66°. There are a spread of Mn–F bond distances ranging from 2.06–2.25 Å. In the second Mn+2.58+ site, Mn+2.58+ is bonded to three O2- and three F1- atoms to form MnO3F3 octahedra that share corners with six MnF6 octahedra and edges with two equivalent MnO2F4 octahedra. The corner-sharing octahedra tilt angles range from 44–59°. There are a spread of Mn–O bond distances ranging from 1.95–2.05 Å. There are a spread of Mn–F bond distances ranging from 2.07–2.15 Å. In the third Mn+2.58+ site, Mn+2.58+ is bonded to two O2- and four F1- atoms to form a mixture of edge and corner-sharing MnO2F4 octahedra. The corner-sharing octahedra tilt angles range from 42–58°. There is one shorter (1.92 Å) and one longer (1.95 Å) Mn–O bond length. There are a spread of Mn–F bond distances ranging from 2.00–2.24 Å. In the fourth Mn+2.58+ site, Mn+2.58+ is bonded to one O2- and five F1- atoms to form a mixture of edge and corner-sharing MnOF5 octahedra. The corner-sharing octahedra tilt angles range from 47–59°. The Mn–O bond length is 2.04 Å. There are a spread of Mn–F bond distances ranging from 2.06–2.19 Å. In the fifth Mn+2.58+ site, Mn+2.58+ is bonded to one O2- and five F1- atoms to form distorted MnOF5 octahedra that share corners with six MnOF5 octahedra and edges with two equivalent MnO2F4 octahedra. The corner-sharing octahedra tilt angles range from 51–59°. The Mn–O bond length is 2.08 Å. There are a spread of Mn–F bond distances ranging from 2.03–2.23 Å. In the sixth Mn+2.58+ site, Mn+2.58+ is bonded in a 6-coordinate geometry to one O2- and five F1- atoms. The Mn–O bond length is 2.08 Å. There are a spread of Mn–F bond distances ranging from 2.07–2.27 Å. In the seventh Mn+2.58+ site, Mn+2.58+ is bonded to two O2- and four F1- atoms to form MnO2F4 octahedra that share corners with six MnF6 octahedra and edges with two equivalent MnO3F3 octahedra. The corner-sharing octahedra tilt angles range from 42–66°. Both Mn–O bond lengths are 1.93 Å. There are a spread of Mn–F bond distances ranging from 2.04–2.13 Å. In the eighth Mn+2.58+ site, Mn+2.58+ is bonded in a 5-coordinate geometry to two O2- and three F1- atoms. There are one shorter (1.96 Å) and one longer (2.05 Å) Mn–O bond lengths. There are two shorter (2.11 Å) and one longer (2.20 Å) Mn–F bond lengths. In the ninth Mn+2.58+ site, Mn+2.58+ is bonded to two O2- and four F1- atoms to form a mixture of edge and corner-sharing MnO2F4 octahedra. The corner-sharing octahedra tilt angles range from 47–58°. Both Mn–O bond lengths are 1.95 Å. There are a spread of Mn–F bond distances ranging from 2.01–2.30 Å. In the tenth Mn+2.58+ site, Mn+2.58+ is bonded to two O2- and four F1- atoms to form MnO2F4 octahedra that share corners with eight MnO2F4 octahedra and edges with two equivalent MnOF5 octahedra. The corner-sharing octahedra tilt angles range from 45–54°. There is one shorter (1.96 Å) and one longer (1.99 Å) Mn–O bond length. There are a spread of Mn–F bond distances ranging from 2.05–2.13 Å. In the eleventh Mn+2.58+ site, Mn+2.58+ is bonded to three O2- and three F1- atoms to form MnO3F3 octahedra that share corners with eight MnO3F3 octahedra and edges with two equivalent MnO2F4 octahedra. The corner-sharing octahedra tilt angles range from 47–58°. There are a spread of Mn–O bond distances ranging from 1.93–1.98 Å. There are a spread of Mn–F bond distances ranging from 1.99–2.37 Å. In the twelfth Mn+2.58+ site, Mn+2.58+ is bonded to two O2- and four F1- atoms to form corner-sharing MnO2F4 octahedra. The corner-sharing octahedra tilt angles range from 48–57°. There is one shorter (1.92 Å) and one longer (1.93 Å) Mn–O bond length. There are a spread of Mn–F bond distances ranging from 2.02–2.31 Å. There are seven inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+2.58+ atoms. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+2.58+ atoms. In the third O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Mn+2.58+ atoms. In the fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+2.58+ atoms. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+2.58+ atoms. In the sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+2.58+ atoms. In the seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+2.58+ atoms. There are seventeen inequivalent F1- sites. In the first F1- site, F1- is bonded in a 3-coordinate geometry to three Mn+2.58+ atoms. In the second F1- site, F1- is bonded in a 3-coordinate geometry to three Mn+2.58+ atoms. In the third F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.58+ atoms. In the fourth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.58+ atoms. In the fifth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.58+ atoms. In the sixth F1- site, F1- is bonded in a trigonal non-coplanar geometry to three Mn+2.58+ atoms. In the seventh F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.58+ atoms. In the eighth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.58+ atoms. In the ninth F1- site, F1- is bonded in a trigonal planar geometry to three Mn+2.58+ atoms. In the tenth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.58+ atoms. In the eleventh F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.58+ atoms. In the twelfth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.58+ atoms. In the thirteenth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.58+ atoms. In the fourteenth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.58+ atoms. In the fifteenth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.58+ atoms. In the sixteenth F1- site, F1- is bonded in a bent 120 degrees geometry to two Mn+2.58+ atoms. In the seventeenth F1- site, F1- is bonded in a 3-coordinate geometry to three Mn+2.58+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Li3MnSi2O7 by Materials Project

Li3MnSi2O7 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eighteen inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, corners with two LiO4 tetrahedra, corners with four SiO4 tetrahedra, and an edgeedge with one MnO6 octahedra. The corner-sharing octahedral tilt angles are 68°. There are a spread of Li–O bond distances ranging from 1.89–2.15 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, corners with two LiO4 tetrahedra, corners with four SiO4 tetrahedra, and an edgeedge with one MnO6 octahedra. The corner-sharing octahedral tilt angles are 68°. There are a spread of Li–O bond distances ranging from 1.89–2.09 Å. In the third Li1+ site, Li1+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of Li–O bond distances ranging from 1.90–1.92 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 pentagonal pyramids that share corners with six LiO4 tetrahedra, corners with six SiO4 tetrahedra, and faces with two MnO6 octahedra. There are a spread of Li–O bond distances ranging from 2.27–2.37 Å. In the fifth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.19–2.66 Å. In the sixth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.17–2.63 Å. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, corners with two LiO4 tetrahedra, corners with four SiO4 tetrahedra, and an edgeedge with one MnO6 octahedra. The corner-sharing octahedral tilt angles are 66°. There are a spread of Li–O bond distances ranging from 1.90–2.20 Å. In the eighth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, corners with two LiO4 tetrahedra, corners with four SiO4 tetrahedra, and an edgeedge with one MnO6 octahedra. The corner-sharing octahedral tilt angles are 65°. There are a spread of Li–O bond distances ranging from 1.89–2.24 Å. In the ninth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, corners with two LiO4 tetrahedra, corners with four SiO4 tetrahedra, and an edgeedge with one MnO6 octahedra. The corner-sharing octahedral tilt angles are 69°. There are a spread of Li–O bond distances ranging from 1.94–2.14 Å. In the tenth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, corners with two LiO4 tetrahedra, corners with four SiO4 tetrahedra, and an edgeedge with one MnO6 octahedra. The corner-sharing octahedral tilt angles are 71°. There are a spread of Li–O bond distances ranging from 1.94–2.16 Å. In the eleventh Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, corners with two LiO4 tetrahedra, corners with four SiO4 tetrahedra, and an edgeedge with one MnO6 octahedra. The corner-sharing octahedral tilt angles are 70°. There are a spread of Li–O bond distances ranging from 1.95–2.13 Å. In the twelfth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, corners with two LiO4 tetrahedra, corners with four SiO4 tetrahedra, and an edgeedge with one MnO6 octahedra. The corner-sharing octahedral tilt angles are 70°. There are a spread of Li–O bond distances ranging from 1.93–2.19 Å. In the thirteenth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, corners with two LiO4 tetrahedra, corners with four SiO4 tetrahedra, and an edgeedge with one MnO6 octahedra. The corner-sharing octahedral tilt angles are 65°. There are a spread of Li–O bond distances ranging from 1.89–2.22 Å. In the fourteenth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, corners with two LiO4 tetrahedra, corners with four SiO4 tetrahedra, and an edgeedge with one MnO6 octahedra. The corner-sharing octahedral tilt angles are 66°. There are a spread of Li–O bond distances ranging from 1.90–2.21 Å. In the fifteenth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 pentagonal pyramids that share corners with six LiO4 tetrahedra, corners with six SiO4 tetrahedra, and faces with two MnO6 octahedra. There are a spread of Li–O bond distances ranging from 2.25–2.38 Å. In the sixteenth Li1+ site, Li1+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of Li–O bond distances ranging from 1.90–1.92 Å. In the seventeenth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, corners with two LiO4 tetrahedra, corners with four SiO4 tetrahedra, and an edgeedge with one MnO6 octahedra. The corner-sharing octahedral tilt angles are 68°. There are a spread of Li–O bond distances ranging from 1.88–2.12 Å. In the eighteenth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, corners with two LiO4 tetrahedra, corners with four SiO4 tetrahedra, and an edgeedge with one MnO6 octahedra. The corner-sharing octahedral tilt angles are 67°. There are a spread of Li–O bond distances ranging from 1.90–2.11 Å. There are six inequivalent Mn3+ sites. In the first Mn3+ site, Mn3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Mn–O bond distances ranging from 1.99–2.35 Å. In the second Mn3+ site, Mn3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Mn–O bond distances ranging from 1.98–2.37 Å. In the third Mn3+ site, Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with three LiO4 tetrahedra, corners with six SiO4 tetrahedra, edges with three LiO4 tetrahedra, and a faceface with one LiO6 pentagonal pyramid. There are a spread of Mn–O bond distances ranging from 1.98–2.18 Å. In the fourth Mn3+ site, Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with three LiO4 tetrahedra, corners with six SiO4 tetrahedra, edges with three LiO4 tetrahedra, and a faceface with one LiO6 pentagonal pyramid. There are a spread of Mn–O bond distances ranging from 1.96–2.16 Å. In the fifth Mn3+ site, Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with three LiO4 tetrahedra, corners with six SiO4 tetrahedra, edges with three LiO4 tetrahedra, and a faceface with one LiO6 pentagonal pyramid. There are a spread of Mn–O bond distances ranging from 1.98–2.18 Å. In the sixth Mn3+ site, Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with three LiO4 tetrahedra, corners with six SiO4 tetrahedra, edges with three LiO4 tetrahedra, and a faceface with one LiO6 pentagonal pyramid. There are a spread of Mn–O bond distances ranging from 1.97–2.16 Å. There are twelve inequivalent Si4+ sites. In the first Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two MnO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, a cornercorner with one SiO4 tetrahedra, and corners with four LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 46–49°. There are a spread of Si–O bond distances ranging from 1.62–1.68 Å. In the second Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two MnO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, a cornercorner with one SiO4 tetrahedra, and corners with four LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 44–49°. There are a spread of Si–O bond distances ranging from 1.62–1.68 Å. In the third Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two MnO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, a cornercorner with one SiO4 tetrahedra, and corners with four LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 44–50°. There are a spread of Si–O bond distances ranging from 1.61–1.68 Å. In the fourth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two MnO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, a cornercorner with one SiO4 tetrahedra, and corners with four LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 45–50°. There are a spread of Si–O bond distances ranging from 1.61–1.68 Å. In the fifth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two MnO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, a cornercorner with one SiO4 tetrahedra, and corners with four LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 42–50°. There are a spread of Si–O bond distances ranging from 1.60–1.69 Å. In the sixth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two MnO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, a cornercorner with one SiO4 tetrahedra, and corners with four LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 43–49°. There are a spread of Si–O bond distances ranging from 1.61–1.68 Å. In the seventh Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two MnO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, a cornercorner with one SiO4 tetrahedra, and corners with four LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 43–49°. There are a spread of Si–O bond distances ranging from 1.61–1.68 Å. In the eighth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two MnO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, a cornercorner with one SiO4 tetrahedra, and corners with four LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 42–50°. There are a spread of Si–O bond distances ranging from 1.60–1.69 Å. In the ninth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two MnO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, a cornercorner with one SiO4 tetrahedra, and corners with four LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 45–49°. There are a spread of Si–O bond distances ranging from 1.61–1.68 Å. In the tenth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two MnO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, a cornercorner with one SiO4 tetrahedra, and corners with four LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 44–51°. There are a spread of Si–O bond distances ranging from 1.61–1.68 Å. In the eleventh Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two MnO6 octahedra, a cornercorner with one LiO6 pentagonal

36 MATERIALS SCIENCE↗

Materials Data on Li2Mn3VO8 by Materials Project

Li2VMn3O8 is Spinel-derived structured and crystallizes in the monoclinic P2_1 space group. The structure is three-dimensional. there are four inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three VO6 octahedra and corners with nine MnO6 octahedra. The corner-sharing octahedra tilt angles range from 55–62°. There are a spread of Li–O bond distances ranging from 2.02–2.04 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three VO6 octahedra and corners with nine MnO6 octahedra. The corner-sharing octahedra tilt angles range from 48–66°. There are a spread of Li–O bond distances ranging from 1.96–2.08 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 nine MnO6 octahedra. The corner-sharing octahedra tilt angles range from 53–64°. There are a spread of Li–O bond distances ranging from 2.00–2.06 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three VO6 octahedra and corners with nine MnO6 octahedra. The corner-sharing octahedra tilt angles range from 51–66°. There are a spread of Li–O bond distances ranging from 1.96–2.06 Å. There are two inequivalent V5+ sites. In the first V5+ site, V5+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of V–O bond distances ranging from 1.83–2.05 Å. In the second V5+ site, V5+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of V–O bond distances ranging from 1.83–2.04 Å. There are six inequivalent Mn3+ sites. In the first Mn3+ site, Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, edges with two VO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.97–2.17 Å. In the second Mn3+ site, Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, edges with two VO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.94–2.29 Å. In the third Mn3+ site, Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, edges with two equivalent VO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.94–2.00 Å. In the fourth Mn3+ site, Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, edges with two equivalent VO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.92–2.15 Å. In the fifth Mn3+ site, Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, edges with two VO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.98–2.25 Å. In the sixth Mn3+ site, Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, edges with two VO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.90–1.99 Å. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one V5+, and two Mn3+ atoms. In the second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one V5+, and two Mn3+ atoms. In the third O2- site, O2- is bonded to one Li1+ and three Mn3+ atoms to form a mixture of distorted edge and corner-sharing OLiMn3 trigonal pyramids. In the fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one V5+, and two Mn3+ atoms. In the fifth O2- site, O2- is bonded to one Li1+, one V5+, and two Mn3+ atoms to form distorted OLiMn2V trigonal pyramids that share corners with three OLiMn2V tetrahedra, corners with two equivalent OLiMn2V trigonal pyramids, and an edgeedge with one OLiMn3 trigonal pyramid. In the sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Mn3+ atoms. In the seventh O2- site, O2- is bonded to one Li1+, one V5+, and two Mn3+ atoms to form distorted OLiMn2V trigonal pyramids that share corners with two OLiMn2V tetrahedra, corners with three OLiMn3 trigonal pyramids, and edges with two OLiMn2V tetrahedra. In the eighth O2- site, O2- is bonded to one Li1+, one V5+, and two Mn3+ atoms to form distorted OLiMn2V tetrahedra that share corners with four OLiMn3 trigonal pyramids, an edgeedge with one OLiMn2V tetrahedra, and an edgeedge with one OLiMn2V trigonal pyramid. In the ninth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one V5+, and two Mn3+ atoms. In the tenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one V5+, and two Mn3+ atoms. In the eleventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Mn3+ atoms. In the twelfth O2- site, O2- is bonded to one Li1+, one V5+, and two Mn3+ atoms to form distorted OLiMn2V tetrahedra that share a cornercorner with one OLiMn2V tetrahedra and corners with two OLiMn3 trigonal pyramids. In the thirteenth O2- site, O2- is bonded to one Li1+, one V5+, and two Mn3+ atoms to form a mixture of distorted edge and corner-sharing OLiMn2V tetrahedra. In the fourteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Mn3+ atoms. In the fifteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one V5+, and two Mn3+ atoms. In the sixteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one V5+, and two Mn3+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Li9Nb7V12O48 by Materials Project

Li9Nb7V12O48 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are nine inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six VO4 tetrahedra and faces with two equivalent NbO6 octahedra. There are a spread of Li–O bond distances ranging from 2.05–2.17 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one NbO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, corners with six VO4 tetrahedra, and edges with two equivalent NbO6 octahedra. The corner-sharing octahedral tilt angles are 61°. There are a spread of Li–O bond distances ranging from 2.05–2.31 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one NbO6 pentagonal pyramid, corners with six VO4 tetrahedra, and edges with two equivalent NbO6 octahedra. The corner-sharing octahedral tilt angles are 66°. There are a spread of Li–O bond distances ranging from 2.10–2.36 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one NbO6 pentagonal pyramid, corners with six VO4 tetrahedra, and edges with two equivalent NbO6 octahedra. The corner-sharing octahedral tilt angles are 66°. There are a spread of Li–O bond distances ranging from 2.10–2.34 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 pentagonal pyramids that share a cornercorner with one LiO6 octahedra, a cornercorner with one NbO6 octahedra, corners with six VO4 tetrahedra, and edges with two equivalent LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 62–70°. There are a spread of Li–O bond distances ranging from 2.08–2.32 Å. In the sixth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.08–2.48 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share a cornercorner with one NbO6 octahedra, corners with six VO4 tetrahedra, and edges with two equivalent NbO6 octahedra. The corner-sharing octahedral tilt angles are 58°. There are a spread of Li–O bond distances ranging from 2.07–2.36 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 pentagonal pyramids that share corners with two NbO6 octahedra, corners with six VO4 tetrahedra, and edges with two equivalent LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 59–61°. There are a spread of Li–O bond distances ranging from 2.08–2.31 Å. In the ninth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six VO4 tetrahedra and faces with two equivalent NbO6 octahedra. There are a spread of Li–O bond distances ranging from 2.09–2.19 Å. There are seven inequivalent Nb5+ sites. In the first Nb5+ site, Nb5+ is bonded to six O2- atoms to form distorted NbO6 pentagonal pyramids that share corners with two LiO6 octahedra and corners with six VO4 tetrahedra. The corner-sharing octahedral tilt angles are 63°. There are a spread of Nb–O bond distances ranging from 1.96–2.13 Å. In the second Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, corners with six VO4 tetrahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedral tilt angles are 61°. There are a spread of Nb–O bond distances ranging from 1.89–2.21 Å. In the third Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with six VO4 tetrahedra and faces with two equivalent LiO6 octahedra. There are a spread of Nb–O bond distances ranging from 1.94–2.09 Å. In the fourth Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with six VO4 tetrahedra and faces with two equivalent LiO6 octahedra. There are a spread of Nb–O bond distances ranging from 1.89–2.09 Å. In the fifth Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share a cornercorner with one NbO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, corners with six VO4 tetrahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedral tilt angles are 51°. There are a spread of Nb–O bond distances ranging from 1.89–2.11 Å. In the sixth Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share a cornercorner with one NbO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, corners with six VO4 tetrahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedral tilt angles are 51°. There are a spread of Nb–O bond distances ranging from 1.89–2.10 Å. In the seventh Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with six VO4 tetrahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedral tilt angles are 58°. There are a spread of Nb–O bond distances ranging from 1.90–2.22 Å. There are twelve inequivalent V+4.33+ sites. In the first V+4.33+ site, V+4.33+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with four LiO6 octahedra and corners with four NbO6 octahedra. The corner-sharing octahedra tilt angles range from 31–64°. There are a spread of V–O bond distances ranging from 1.75–1.90 Å. In the second V+4.33+ site, V+4.33+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with two LiO6 octahedra, corners with three NbO6 octahedra, and corners with three LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 32–61°. There are a spread of V–O bond distances ranging from 1.67–1.82 Å. In the third V+4.33+ site, V+4.33+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with two LiO6 octahedra, corners with three NbO6 octahedra, and corners with three LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 33–60°. There are a spread of V–O bond distances ranging from 1.65–1.81 Å. In the fourth V+4.33+ site, V+4.33+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with two LiO6 octahedra, corners with three NbO6 octahedra, and a cornercorner with one NbO6 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 23–62°. There are a spread of V–O bond distances ranging from 1.89–1.93 Å. In the fifth V+4.33+ site, V+4.33+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with two NbO6 octahedra, corners with three LiO6 octahedra, and a cornercorner with one NbO6 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 21–56°. There are a spread of V–O bond distances ranging from 1.68–1.79 Å. In the sixth V+4.33+ site, V+4.33+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with three LiO6 octahedra and corners with five NbO6 octahedra. The corner-sharing octahedra tilt angles range from 23–68°. There are a spread of V–O bond distances ranging from 1.86–1.99 Å. In the seventh V+4.33+ site, V+4.33+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with three NbO6 octahedra and corners with five LiO6 octahedra. The corner-sharing octahedra tilt angles range from 20–58°. There are a spread of V–O bond distances ranging from 1.69–1.78 Å. In the eighth V+4.33+ site, V+4.33+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with two NbO6 octahedra, corners with three LiO6 octahedra, and corners with three LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 25–57°. There are a spread of V–O bond distances ranging from 1.68–1.86 Å. In the ninth V+4.33+ site, V+4.33+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with two LiO6 octahedra, corners with three NbO6 octahedra, and corners with three LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 27–60°. There are a spread of V–O bond distances ranging from 1.66–1.95 Å. In the tenth V+4.33+ site, V+4.33+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with two NbO6 octahedra, corners with three LiO6 octahedra, and corners with two equivalent NbO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 31–59°. There are a spread of V–O bond distances ranging from 1.79–1.89 Å. In the eleventh V+4.33+ site, V+4.33+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with two NbO6 octahedra, corners with three LiO6 octahedra, and corners with two equivalent NbO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 30–60°. There are a spread of V–O bond distances ranging from 1.78–1.90 Å. In the twelfth V+4.33+ site, V+4.33+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with four LiO6 octahedra and corners with four NbO6 octahedra. The corner-sharing octahedra tilt angles range from 28–64°. There are a spread of V–O bond distances ranging from 1.72–1.80 Å. There are forty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one Nb5+, and one V+4.33+ atom. In the second O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one Nb5+, and one V+4.33+ atom. In the third O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one Nb5+, and one V+4.33+ atom. In the fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Nb5+, and one V+4.33+ atom. In the fifth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Nb5+, and one V+4.33+ atom. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Nb5+, and one V+4.33+ atom. In the seventh O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Nb5+, and one V+4.33+ atom. In the eighth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Nb5+, and one V+4.33+ atom. In the ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Nb5+, and one V+4.33+ atom. In the tenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Nb5+, and one V+4.33+ atom. In the eleventh O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Nb5+, and one V+4.33+ atom. In the twelfth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Nb5+, and one V+4.33+ atom. In the thirteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Nb5+, and one V+4.33+ atom. In the fourteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Nb5+, and one V+4.33+ atom. In the fifteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Nb5+, and one V+4.33+ atom. In the sixteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Nb5+, and one V+4.33+ atom. In the seventeenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Nb5+, and one V+4.33+ atom. In the eighteenth O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one Nb5+, and one V+4.33+ atom. In the nineteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Nb5+, and one V+4.33+ atom. In the twentieth O2- site, O2- is bonded in a 3-coordinate geometry to two Li1+ and one V+4.33+ atom. In the twenty-first O2- site, O2- is bonded in a 3-coordinate geometry to two Li1+ and one V+4.33+ atom. In the twenty-second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Nb5+, and one V+4.33+ atom. In the twenty-third O2- site, O2- is bonded in a trigonal planar geometry to two Li1+ and one V+4.33+ atom. In the twenty-fourth O2- site, O2- is bonded in a tri

36 MATERIALS SCIENCE↗

Materials Data on Li5(BiO3)4 by Materials Project

Li5(BiO3)4 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are five inequivalent Li sites. In the first Li site, Li is bonded in a rectangular see-saw-like geometry to four O atoms. There are a spread of Li–O bond distances ranging from 1.92–2.02 Å. In the second Li site, Li is bonded in a rectangular see-saw-like geometry to four O atoms. There are a spread of Li–O bond distances ranging from 1.91–2.02 Å. In the third Li site, Li is bonded to five O atoms to form distorted LiO5 square pyramids that share a cornercorner with one LiO6 octahedra, corners with two equivalent BiO6 octahedra, corners with two equivalent LiO5 trigonal bipyramids, and edges with four BiO6 octahedra. The corner-sharing octahedra tilt angles range from 20–84°. There are a spread of Li–O bond distances ranging from 2.06–2.32 Å. In the fourth Li site, Li is bonded to five O atoms to form distorted LiO5 trigonal bipyramids that share corners with four BiO6 octahedra, corners with two equivalent LiO5 square pyramids, an edgeedge with one LiO6 octahedra, and edges with three BiO6 octahedra. The corner-sharing octahedra tilt angles range from 25–73°. There are a spread of Li–O bond distances ranging from 2.01–2.39 Å. In the fifth Li site, Li is bonded to six O atoms to form distorted LiO6 octahedra that share corners with four BiO6 octahedra, a cornercorner with one LiO5 square pyramid, an edgeedge with one LiO6 octahedra, edges with four BiO6 octahedra, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 17–66°. There are a spread of Li–O bond distances ranging from 2.04–2.54 Å. There are four inequivalent Bi sites. In the first Bi site, Bi is bonded to six O atoms to form BiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with two equivalent BiO6 octahedra, a cornercorner with one LiO5 trigonal bipyramid, edges with two BiO6 octahedra, edges with three equivalent LiO6 octahedra, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 27–62°. There are a spread of Bi–O bond distances ranging from 2.13–2.27 Å. In the second Bi site, Bi is bonded to six O atoms to form BiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with two equivalent LiO5 square pyramids, a cornercorner with one LiO5 trigonal bipyramid, an edgeedge with one LiO6 octahedra, edges with three BiO6 octahedra, an edgeedge with one LiO5 square pyramid, and edges with two equivalent LiO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 20°. There are a spread of Bi–O bond distances ranging from 2.11–2.18 Å. In the third Bi site, Bi is bonded to six O atoms to form BiO6 octahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one LiO5 trigonal bipyramid, edges with three BiO6 octahedra, and edges with three equivalent LiO5 square pyramids. The corner-sharing octahedral tilt angles are 17°. There are a spread of Bi–O bond distances ranging from 2.15–2.19 Å. In the fourth Bi site, Bi is bonded to six O atoms to form distorted BiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with two equivalent BiO6 octahedra, a cornercorner with one LiO5 trigonal bipyramid, and edges with two equivalent BiO6 octahedra. The corner-sharing octahedra tilt angles range from 58–66°. There are a spread of Bi–O bond distances ranging from 2.18–2.41 Å. There are twelve inequivalent O sites. In the first O site, O is bonded to two Li and two Bi atoms to form a mixture of distorted edge and corner-sharing OLi2Bi2 tetrahedra. In the second O site, O is bonded in a rectangular see-saw-like geometry to two Li and two equivalent Bi atoms. In the third O site, O is bonded in a distorted rectangular see-saw-like geometry to two Li and two equivalent Bi atoms. In the fourth O site, O is bonded in a distorted rectangular see-saw-like geometry to two Li and two equivalent Bi atoms. In the fifth O site, O is bonded in a distorted rectangular see-saw-like geometry to two Li and two Bi atoms. In the sixth O site, O is bonded to two Li and two equivalent Bi atoms to form a mixture of distorted edge and corner-sharing OLi2Bi2 trigonal pyramids. In the seventh O site, O is bonded to two Li and two Bi atoms to form a mixture of distorted edge and corner-sharing OLi2Bi2 tetrahedra. In the eighth O site, O is bonded in a rectangular see-saw-like geometry to two equivalent Li and two equivalent Bi atoms. In the ninth O site, O is bonded to two Li and two equivalent Bi atoms to form a mixture of distorted edge and corner-sharing OLi2Bi2 trigonal pyramids. In the tenth O site, O is bonded to two Li and two Bi atoms to form distorted corner-sharing OLi2Bi2 trigonal pyramids. In the eleventh O site, O is bonded to two Li and two Bi atoms to form distorted corner-sharing OLi2Bi2 trigonal pyramids. In the twelfth O site, O is bonded in a distorted see-saw-like geometry to two Li and two Bi atoms.

36 MATERIALS SCIENCE↗

Materials Data on Sr2YCu3O7 by Materials Project

YSr2Cu3O7 crystallizes in the orthorhombic Pmmm space group. The structure is three-dimensional. Sr2+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of Sr–O bond distances ranging from 2.70–3.01 Å. Y3+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are four shorter (2.38 Å) and four longer (2.41 Å) Y–O bond lengths. There are two inequivalent Cu+2.33+ sites. In the first Cu+2.33+ site, Cu+2.33+ is bonded in a square co-planar geometry to four O2- atoms. There is two shorter (1.88 Å) and two longer (1.95 Å) Cu–O bond length. In the second Cu+2.33+ site, Cu+2.33+ is bonded to five O2- atoms to form corner-sharing CuO5 square pyramids. There are a spread of Cu–O bond distances ranging from 1.90–2.13 Å. There are four inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Sr2+, two equivalent Y3+, and two equivalent Cu+2.33+ atoms. In the second O2- site, O2- is bonded to four equivalent Sr2+ and two Cu+2.33+ atoms to form a mixture of distorted corner, edge, and face-sharing OSr4Cu2 octahedra. The corner-sharing octahedra tilt angles range from 0–66°. In the third O2- site, O2- is bonded to four equivalent Sr2+ and two equivalent Cu+2.33+ atoms to form a mixture of distorted corner, edge, and face-sharing OSr4Cu2 octahedra. The corner-sharing octahedra tilt angles range from 0–66°. In the fourth O2- site, O2- is bonded in a 6-coordinate geometry to two equivalent Sr2+, two equivalent Y3+, and two equivalent Cu+2.33+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Ba2Ca3Tl2(CoO3)4 by Materials Project

Ba2Ca3Tl2(CoO3)4 crystallizes in the tetragonal I4/mmm space group. The structure is three-dimensional. Ba2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Ba–O bond distances ranging from 2.82–3.00 Å. There are two inequivalent Ca2+ sites. In the first Ca2+ site, Ca2+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are four shorter (2.45 Å) and four longer (2.55 Å) Ca–O bond lengths. In the second Ca2+ site, Ca2+ is bonded in a body-centered cubic geometry to eight equivalent O2- atoms. All Ca–O bond lengths are 2.51 Å. There are two inequivalent Co3+ sites. In the first Co3+ site, Co3+ is bonded in a rectangular see-saw-like geometry to four equivalent O2- atoms. All Co–O bond lengths are 1.93 Å. In the second Co3+ site, Co3+ is bonded in a rectangular see-saw-like geometry to four equivalent O2- atoms. All Co–O bond lengths are 1.93 Å. Tl1+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TlO6 octahedra. The corner-sharing octahedral tilt angles are 7°. There are a spread of Tl–O bond distances ranging from 2.10–2.73 Å. There are four inequivalent O2- sites. In the first O2- site, O2- is bonded to two equivalent Ba2+, two equivalent Ca2+, and two equivalent Co3+ atoms to form distorted OBa2Ca2Co2 octahedra that share corners with ten OBaTl5 octahedra, edges with three OBa2Ca2Co2 octahedra, and faces with four equivalent OBa2Ca2Co2 octahedra. The corner-sharing octahedra tilt angles range from 0–66°. In the second O2- site, O2- is bonded to four Ca2+ and two equivalent Co3+ atoms to form distorted OCa4Co2 octahedra that share corners with fourteen OBa2Ca2Co2 octahedra, edges with four OBa2Ca2Co2 octahedra, and faces with four equivalent OCa4Co2 octahedra. The corner-sharing octahedra tilt angles range from 0–66°. In the third O2- site, O2- is bonded to one Ba2+ and five equivalent Tl1+ atoms to form a mixture of distorted edge and corner-sharing OBaTl5 octahedra. The corner-sharing octahedra tilt angles range from 7–42°. In the fourth O2- site, O2- is bonded in a 5-coordinate geometry to four equivalent Ba2+ and one Tl1+ atom.

36 MATERIALS SCIENCE↗