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Materials Data on Li2CrCo3O8 by Materials Project

Li2CrCo3O8 is Spinel-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three CrO6 octahedra and corners with nine CoO6 octahedra. The corner-sharing octahedra tilt angles range from 55–64°. 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 LiO4 tetrahedra that share corners with three CrO6 octahedra and corners with nine CoO6 octahedra. The corner-sharing octahedra tilt angles range from 55–62°. There are a spread of Li–O bond distances ranging from 1.96–2.02 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three CrO6 octahedra and corners with nine CoO6 octahedra. The corner-sharing octahedra tilt angles range from 54–62°. There are a spread of Li–O bond distances ranging from 1.96–2.02 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three CrO6 octahedra and corners with nine CoO6 octahedra. The corner-sharing octahedra tilt angles range from 55–63°. There are a spread of Li–O bond distances ranging from 1.96–2.02 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three CrO6 octahedra and corners with nine CoO6 octahedra. The corner-sharing octahedra tilt angles range from 54–65°. There are a spread of Li–O bond distances ranging from 1.95–2.02 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three CrO6 octahedra and corners with nine CoO6 octahedra. The corner-sharing octahedra tilt angles range from 55–62°. There are a spread of Li–O bond distances ranging from 1.97–2.02 Å. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three CrO6 octahedra and corners with nine CoO6 octahedra. The corner-sharing octahedra tilt angles range from 53–63°. All Li–O bond lengths are 1.97 Å. In the eighth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three CrO6 octahedra and corners with nine CoO6 octahedra. The corner-sharing octahedra tilt angles range from 54–63°. There are a spread of Li–O bond distances ranging from 1.95–1.99 Å. There are four inequivalent Cr6+ sites. In the first Cr6+ site, Cr6+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Cr–O bond distances ranging from 1.99–2.02 Å. In the second Cr6+ site, Cr6+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Cr–O bond distances ranging from 1.90–2.02 Å. In the third Cr6+ site, Cr6+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Cr–O bond distances ranging from 2.00–2.02 Å. In the fourth Cr6+ site, Cr6+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Cr–O bond distances ranging from 2.00–2.02 Å. There are twelve inequivalent Co+2.67+ sites. In the first Co+2.67+ site, Co+2.67+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CrO6 octahedra, and edges with four CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.97–2.06 Å. In the second Co+2.67+ site, Co+2.67+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CrO6 octahedra, and edges with four CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.93–2.07 Å. In the third Co+2.67+ site, Co+2.67+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CrO6 octahedra, and edges with four CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.90–2.02 Å. In the fourth Co+2.67+ site, Co+2.67+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CrO6 octahedra, and edges with four CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.97–2.06 Å. In the fifth Co+2.67+ site, Co+2.67+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CrO6 octahedra, and edges with four CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.88–1.91 Å. In the sixth Co+2.67+ site, Co+2.67+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CrO6 octahedra, and edges with four CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.92–2.04 Å. In the seventh Co+2.67+ site, Co+2.67+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CrO6 octahedra, and edges with four CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.88–1.93 Å. In the eighth Co+2.67+ site, Co+2.67+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CrO6 octahedra, and edges with four CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.93–2.04 Å. In the ninth Co+2.67+ site, Co+2.67+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CrO6 octahedra, and edges with four CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.92–1.94 Å. In the tenth Co+2.67+ site, Co+2.67+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CrO6 octahedra, and edges with four CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.91–2.07 Å. In the eleventh Co+2.67+ site, Co+2.67+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CrO6 octahedra, and edges with four CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.88–1.93 Å. In the twelfth Co+2.67+ site, Co+2.67+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CrO6 octahedra, and edges with four CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.90–2.02 Å. There are thirty-two inequivalent O2- sites. In the first O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Cr6+, and two Co+2.67+ atoms. In the second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Cr6+, and two Co+2.67+ atoms. In the third O2- site, O2- is bonded to one Li1+ and three Co+2.67+ atoms to form a mixture of distorted corner and edge-sharing OLiCo3 tetrahedra. In the fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Cr6+, and two Co+2.67+ atoms. In the fifth O2- site, O2- is bonded to one Li1+, one Cr6+, and two Co+2.67+ atoms to form distorted OLiCrCo2 tetrahedra that share corners with six OLiCrCo2 trigonal pyramids and an edgeedge with one OLiCo3 tetrahedra. In the sixth O2- site, O2- is bonded to one Li1+ and three Co+2.67+ atoms to form distorted OLiCo3 trigonal pyramids that share corners with two OLiCo3 tetrahedra and edges with two OLiCrCo2 trigonal pyramids. In the seventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Cr6+, and two Co+2.67+ atoms. In the eighth O2- site, O2- is bonded to one Li1+, one Cr6+, and two Co+2.67+ atoms to form distorted OLiCrCo2 trigonal pyramids that share corners with two OLiCo3 tetrahedra, corners with four OLiCrCo2 trigonal pyramids, and an edgeedge with one OLiCo3 trigonal pyramid. In the ninth O2- site, O2- is bonded to one Li1+, one Cr6+, and two Co+2.67+ atoms to form a mixture of distorted corner and edge-sharing OLiCrCo2 trigonal pyramids. In the tenth O2- site, O2- is bonded to one Li1+, one Cr6+, and two Co+2.67+ atoms to form distorted OLiCrCo2 trigonal pyramids that share corners with two OLiCo3 tetrahedra, corners with four OLiCo3 trigonal pyramids, and edges with two OLiCrCo2 trigonal pyramids. In the eleventh O2- site, O2- is bonded to one Li1+ and three Co+2.67+ atoms to form distorted OLiCo3 trigonal pyramids that share corners with two OLiCo3 tetrahedra, corners with four OLiCrCo2 trigonal pyramids, and an edgeedge with one OLiCrCo2 trigonal pyramid. In the twelfth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Cr6+, and two Co+2.67+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Cr6+, and two Co+2.67+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Co+2.67+ atoms. In the fifteenth O2- site, O2- is bonded to one Li1+, one Cr6+, and two Co+2.67+ atoms to form a mixture of distorted corner and edge-sharing OLiCrCo2 trigonal pyramids. In the sixteenth O2- site, O2- is bonded to one Li1+, one Cr6+, and two Co+2.67+ atoms to form distorted OLiCrCo2 trigonal pyramids that share a cornercorner with one OLiCo3 tetrahedra, corners with seven OLiCrCo2 trigonal pyramids, and an edgeedge with one OLiCrCo2 trigonal pyramid. In the seventeenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Cr6+, and two Co+2.67+ atoms. In the eighteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Cr6+, and two Co+2.67+ atoms. In the nineteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Co+2.67+ atoms. In the twentieth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Cr6+, and two Co+2.67+ atoms. In the twenty-first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Cr6+, and two Co+2.67+ atoms. In the twenty-second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Co+2.67+ atoms. In the twenty-third O2- site, O2- is bonded to one Li1+, one Cr6+, and two Co+2.67+ atoms to form distorted OLiCrCo2 trigonal pyramids that share corners with two OLiCrCo2 trigonal pyramids and edges with two OLiCo3 trigonal pyramids. In the twenty-fourth O2- site, O2- is bonded to one Li1+, one Cr6+, and two Co+2.67+ atoms to form distorted OLiCrCo2 trigonal pyramids that share a cornercorner with one OLiCo3 tetrahedra, corners with three OLiCrCo2 trigonal pyramids, and edges with two OLiCo3 trigonal pyramids. In the twenty-fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Cr6+, and two Co+2.67+ atoms. In the twenty-sixth O2- site, O2- is bonded to one Li1+, one Cr6+, and two Co+2.67+ atoms to form distorted corner-sharing OLiCrCo2 trigonal pyramids. In the twenty-seventh O2- site, O2- is bonded to one Li1+ and three Co+2.67+ atoms to form distorted OLiCo3 trigonal pyramids that share a cornercorner with one OLiCo3 tetrahedra, corners with three OLiCrCo2 trigonal pyramids, and edges with two OLiCrCo2 trigonal pyramids. In the twenty-eighth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Cr6+, and two Co+2.67+ atoms. In the twenty-ninth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Cr6+, and two Co+2.67+ atoms. In the thirtieth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Co+2.67+ atoms. In the thirty-first O2- site, O2- is bonded in a distorted rec

36 MATERIALS SCIENCE↗

Materials Data on Ba4Zn4B14Pb2O31 by Materials Project

Ba4Zn4B14Pb2O31 crystallizes in the monoclinic Cc space group. The structure is three-dimensional. there are four inequivalent Ba2+ sites. In the first Ba2+ site, Ba2+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of Ba–O bond distances ranging from 2.78–3.05 Å. In the second Ba2+ site, Ba2+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of Ba–O bond distances ranging from 2.78–3.13 Å. In the third Ba2+ site, Ba2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Ba–O bond distances ranging from 2.77–3.24 Å. In the fourth Ba2+ site, Ba2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Ba–O bond distances ranging from 2.76–3.25 Å. There are four inequivalent Zn2+ sites. In the first Zn2+ site, Zn2+ is bonded to four O2- atoms to form ZnO4 tetrahedra that share a cornercorner with one BO4 tetrahedra. There are a spread of Zn–O bond distances ranging from 1.96–1.99 Å. In the second Zn2+ site, Zn2+ is bonded to four O2- atoms to form ZnO4 tetrahedra that share corners with two BO4 tetrahedra and an edgeedge with one ZnO4 tetrahedra. There is one shorter (1.95 Å) and three longer (1.99 Å) Zn–O bond length. In the third Zn2+ site, Zn2+ is bonded to four O2- atoms to form ZnO4 tetrahedra that share corners with two BO4 tetrahedra and an edgeedge with one ZnO4 tetrahedra. There are a spread of Zn–O bond distances ranging from 1.95–2.00 Å. In the fourth Zn2+ site, Zn2+ is bonded to four O2- atoms to form ZnO4 tetrahedra that share a cornercorner with one BO4 tetrahedra. There are a spread of Zn–O bond distances ranging from 1.95–2.03 Å. There are fourteen inequivalent B3+ sites. In the first B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.36–1.42 Å. In the second B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.36–1.42 Å. In the third B3+ site, B3+ is bonded to four O2- atoms to form BO4 tetrahedra that share a cornercorner with one BO4 tetrahedra and corners with two ZnO4 tetrahedra. There are a spread of B–O bond distances ranging from 1.45–1.52 Å. In the fourth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.36–1.41 Å. In the fifth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.36–1.41 Å. In the sixth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.36–1.41 Å. In the seventh B3+ site, B3+ is bonded to four O2- atoms to form BO4 tetrahedra that share a cornercorner with one ZnO4 tetrahedra and a cornercorner with one BO4 tetrahedra. There are a spread of B–O bond distances ranging from 1.46–1.51 Å. In the eighth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.36 Å) and two longer (1.40 Å) B–O bond length. In the ninth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.36–1.42 Å. In the tenth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.36–1.41 Å. In the eleventh B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.36–1.42 Å. In the twelfth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.38–1.40 Å. In the thirteenth B3+ site, B3+ is bonded to four O2- atoms to form BO4 tetrahedra that share a cornercorner with one ZnO4 tetrahedra and a cornercorner with one BO4 tetrahedra. There are a spread of B–O bond distances ranging from 1.46–1.51 Å. In the fourteenth B3+ site, B3+ is bonded to four O2- atoms to form BO4 tetrahedra that share a cornercorner with one BO4 tetrahedra and corners with two ZnO4 tetrahedra. There are a spread of B–O bond distances ranging from 1.46–1.52 Å. There are two inequivalent Pb2+ sites. In the first Pb2+ site, Pb2+ is bonded in a 4-coordinate geometry to five O2- atoms. There are a spread of Pb–O bond distances ranging from 2.30–3.10 Å. In the second Pb2+ site, Pb2+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Pb–O bond distances ranging from 2.26–2.80 Å. There are thirty-one inequivalent O2- sites. In the first O2- site, O2- is bonded in a 2-coordinate geometry to two Ba2+, one Zn2+, and one B3+ atom. In the second O2- site, O2- is bonded in a 2-coordinate geometry to two Ba2+, one Zn2+, and one B3+ atom. In the third O2- site, O2- is bonded in a 2-coordinate geometry to two Ba2+, one Zn2+, and one B3+ atom. In the fourth O2- site, O2- is bonded in a bent 120 degrees geometry to one Ba2+ and two B3+ atoms. In the fifth O2- site, O2- is bonded in a 2-coordinate geometry to two Ba2+, one Zn2+, and one B3+ atom. In the sixth O2- site, O2- is bonded in a distorted single-bond geometry to one Ba2+, one B3+, and two Pb2+ atoms. In the seventh O2- site, O2- is bonded in a bent 120 degrees geometry to one Ba2+ and two B3+ atoms. In the eighth O2- site, O2- is bonded in a distorted single-bond geometry to one Ba2+, one B3+, and two Pb2+ atoms. In the ninth O2- site, O2- is bonded in a 2-coordinate geometry to two Ba2+, one Zn2+, and one B3+ atom. In the tenth O2- site, O2- is bonded in a 2-coordinate geometry to one Ba2+, one Zn2+, one B3+, and one Pb2+ atom. In the eleventh O2- site, O2- is bonded in a bent 120 degrees geometry to one Ba2+ and two B3+ atoms. In the twelfth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Ba2+ and two B3+ atoms. In the thirteenth O2- site, O2- is bonded in a bent 120 degrees geometry to one Ba2+ and two B3+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two B3+ atoms. In the fifteenth O2- site, O2- is bonded in a bent 120 degrees geometry to one Ba2+ and two B3+ atoms. In the sixteenth O2- site, O2- is bonded in a bent 120 degrees geometry to two Ba2+ and two B3+ atoms. In the seventeenth O2- site, O2- is bonded in a 2-coordinate geometry to one Zn2+, one B3+, and one Pb2+ atom. In the eighteenth O2- site, O2- is bonded in a 2-coordinate geometry to two Ba2+, one Zn2+, and one B3+ atom. In the nineteenth O2- site, O2- is bonded in a bent 120 degrees geometry to one Ba2+ and two B3+ atoms. In the twentieth O2- site, O2- is bonded in a 2-coordinate geometry to two Ba2+, one Zn2+, and one B3+ atom. In the twenty-first O2- site, O2- is bonded in a 3-coordinate geometry to one Zn2+, one B3+, and two Pb2+ atoms. In the twenty-second O2- site, O2- is bonded in a 1-coordinate geometry to one Ba2+, two Zn2+, and one B3+ atom. In the twenty-third O2- site, O2- is bonded in a 3-coordinate geometry to one Ba2+, one Zn2+, one B3+, and one Pb2+ atom. In the twenty-fourth O2- site, O2- is bonded in a bent 120 degrees geometry to two Ba2+ and two B3+ atoms. In the twenty-fifth O2- site, O2- is bonded in a 1-coordinate geometry to one Ba2+, two Zn2+, and one B3+ atom. In the twenty-sixth O2- site, O2- is bonded in a bent 120 degrees geometry to one Ba2+ and two B3+ atoms. In the twenty-seventh O2- site, O2- is bonded in a bent 120 degrees geometry to one Ba2+ and two B3+ atoms. In the twenty-eighth O2- site, O2- is bonded in a bent 120 degrees geometry to one Ba2+ and two B3+ atoms. In the twenty-ninth O2- site, O2- is bonded in a bent 120 degrees geometry to one Ba2+ and two B3+ atoms. In the thirtieth O2- site, O2- is bonded in a 2-coordinate geometry to two Ba2+, one Zn2+, and one B3+ atom. In the thirty-first O2- site, O2- is bonded in a bent 120 degrees geometry to one Ba2+ and two B3+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Na4Mn2C4SO16 by Materials Project

Na4Mn2C4SO16 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share corners with three NaO6 octahedra, edges with two MnO6 octahedra, and an edgeedge with one SO4 tetrahedra. The corner-sharing octahedra tilt angles range from 62–87°. There are a spread of Na–O bond distances ranging from 2.37–2.53 Å. In the second Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share corners with three NaO6 octahedra, edges with two MnO6 octahedra, and an edgeedge with one SO4 tetrahedra. The corner-sharing octahedra tilt angles range from 55–87°. There are a spread of Na–O bond distances ranging from 2.40–2.54 Å. In the third Na1+ site, Na1+ is bonded in a distorted hexagonal planar geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.38–2.54 Å. In the fourth Na1+ site, Na1+ is bonded in a distorted hexagonal planar geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.43–2.54 Å. In the fifth Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share corners with three NaO6 octahedra, edges with two MnO6 octahedra, and an edgeedge with one SO4 tetrahedra. The corner-sharing octahedra tilt angles range from 62–87°. There are a spread of Na–O bond distances ranging from 2.38–2.55 Å. In the sixth Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share corners with three NaO6 octahedra, edges with two MnO6 octahedra, and an edgeedge with one SO4 tetrahedra. The corner-sharing octahedra tilt angles range from 58–87°. There are a spread of Na–O bond distances ranging from 2.36–2.53 Å. In the seventh Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share corners with three NaO6 octahedra, edges with two MnO6 octahedra, and an edgeedge with one SO4 tetrahedra. The corner-sharing octahedra tilt angles range from 58–82°. There are a spread of Na–O bond distances ranging from 2.38–2.55 Å. In the eighth Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share corners with three NaO6 octahedra, edges with two MnO6 octahedra, and an edgeedge with one SO4 tetrahedra. The corner-sharing octahedra tilt angles range from 55–82°. There are a spread of Na–O bond distances ranging from 2.33–2.55 Å. There are four inequivalent Mn7+ sites. In the first Mn7+ site, Mn7+ is bonded to six O2- atoms to form MnO6 octahedra that share edges with three NaO6 octahedra. There are a spread of Mn–O bond distances ranging from 2.04–2.28 Å. In the second Mn7+ site, Mn7+ is bonded to six O2- atoms to form MnO6 octahedra that share edges with four NaO6 octahedra. There are a spread of Mn–O bond distances ranging from 2.00–2.27 Å. In the third Mn7+ site, Mn7+ is bonded to six O2- atoms to form MnO6 octahedra that share edges with two NaO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.97–2.28 Å. In the fourth Mn7+ site, Mn7+ is bonded to six O2- atoms to form MnO6 octahedra that share edges with three NaO6 octahedra. There are a spread of Mn–O bond distances ranging from 2.04–2.25 Å. There are eight inequivalent C4+ sites. In the first C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.29 Å) and two longer (1.30 Å) C–O bond length. In the second C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.29 Å) and two longer (1.30 Å) C–O bond length. In the third C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of C–O bond distances ranging from 1.28–1.32 Å. In the fourth C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of C–O bond distances ranging from 1.29–1.32 Å. In the fifth C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.27 Å) and two longer (1.31 Å) C–O bond length. In the sixth C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of C–O bond distances ranging from 1.27–1.31 Å. In the seventh C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.28 Å) and two longer (1.30 Å) C–O bond length. In the eighth C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.28 Å) and two longer (1.31 Å) C–O bond length. There are two inequivalent S2- sites. In the first S2- site, S2- is bonded to four O2- atoms to form SO4 tetrahedra that share edges with three NaO6 octahedra. There is two shorter (1.49 Å) and two longer (1.51 Å) S–O bond length. In the second S2- site, S2- is bonded to four O2- atoms to form SO4 tetrahedra that share edges with three NaO6 octahedra. There are a spread of S–O bond distances ranging from 1.49–1.51 Å. There are thirty-two inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Mn7+, and one C4+ atom. In the second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Na1+, one Mn7+, and one C4+ atom. In the third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Na1+, one Mn7+, and one C4+ atom. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Mn7+, and one C4+ atom. In the fifth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Mn7+, and one C4+ atom. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to two Na1+ and one S2- atom. In the seventh O2- site, O2- is bonded to three Na1+ and one S2- atom to form distorted edge-sharing ONa3S trigonal pyramids. In the eighth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Mn7+ and one C4+ atom. In the ninth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Mn7+, and one C4+ atom. In the tenth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Mn7+, and one C4+ atom. In the eleventh O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Mn7+, and one C4+ atom. In the twelfth O2- site, O2- is bonded to three Na1+ and one S2- atom to form distorted edge-sharing ONa3S trigonal pyramids. In the thirteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Na1+ and one S2- atom. In the fourteenth O2- site, O2- is bonded in a 1-coordinate geometry to one Na1+, one Mn7+, and one C4+ atom. In the fifteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Mn7+, and one C4+ atom. In the sixteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Mn7+, and one C4+ atom. In the seventeenth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Mn7+, and one C4+ atom. In the eighteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Na1+, one Mn7+, and one C4+ atom. In the nineteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Na1+, one Mn7+, and one C4+ atom. In the twentieth O2- site, O2- is bonded in a 3-coordinate geometry to two Na1+ and one S2- atom. In the twenty-first O2- site, O2- is bonded in a 3-coordinate geometry to two Na1+ and one S2- atom. In the twenty-second O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Mn7+, and one C4+ atom. In the twenty-third O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Mn7+, and one C4+ atom. In the twenty-fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Mn7+, and one C4+ atom. In the twenty-fifth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Mn7+, and one C4+ atom. In the twenty-sixth O2- site, O2- is bonded in a distorted L-shaped geometry to one Na1+ and one S2- atom. In the twenty-seventh O2- site, O2- is bonded in a distorted water-like geometry to one Na1+ and one S2- atom. In the twenty-eighth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Mn7+, and one C4+ atom. In the twenty-ninth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Mn7+, and one C4+ atom. In the thirtieth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Na1+, one Mn7+, and one C4+ atom. In the thirty-first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Na1+, one Mn7+, and one C4+ atom. In the thirty-second O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Mn7+, and one C4+ atom.

36 MATERIALS SCIENCE↗

Materials Data on MnFeCo(PO4)3 by Materials Project

MnFeCo(PO4)3 crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are four inequivalent Mn2+ sites. In the first Mn2+ site, Mn2+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with four FeO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 49–50°. There are a spread of Mn–O bond distances ranging from 1.89–2.35 Å. In the second Mn2+ site, Mn2+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with two equivalent FeO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 48–51°. There are a spread of Mn–O bond distances ranging from 1.89–2.33 Å. In the third Mn2+ site, Mn2+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with two equivalent FeO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 50–52°. There are a spread of Mn–O bond distances ranging from 1.90–2.37 Å. In the fourth Mn2+ site, Mn2+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with four MnO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 51–52°. There are a spread of Mn–O bond distances ranging from 1.91–2.32 Å. There are four inequivalent Fe3+ sites. In the first Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with four MnO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 48–50°. There are a spread of Fe–O bond distances ranging from 1.95–2.18 Å. In the second Fe3+ site, Fe3+ is bonded to six O2- atoms to form distorted FeO6 octahedra that share corners with four MnO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 49–50°. There are a spread of Fe–O bond distances ranging from 1.95–2.18 Å. In the third Fe3+ site, Fe3+ is bonded to six O2- atoms to form distorted FeO6 octahedra that share corners with four CoO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 46–48°. There are a spread of Fe–O bond distances ranging from 1.94–2.15 Å. In the fourth Fe3+ site, Fe3+ is bonded to six O2- atoms to form distorted FeO6 octahedra that share corners with four CoO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 47–49°. There are a spread of Fe–O bond distances ranging from 1.94–2.13 Å. There are four inequivalent Co4+ sites. In the first Co4+ site, Co4+ is bonded to six O2- atoms to form distorted CoO6 octahedra that share corners with four CoO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedral tilt angles are 48°. There are a spread of Co–O bond distances ranging from 1.86–2.19 Å. In the second Co4+ site, Co4+ is bonded to six O2- atoms to form distorted CoO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with two equivalent CoO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedral tilt angles are 48°. There are a spread of Co–O bond distances ranging from 1.87–2.13 Å. In the third Co4+ site, Co4+ is bonded to six O2- atoms to form distorted CoO6 octahedra that share corners with four FeO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 46–49°. There are a spread of Co–O bond distances ranging from 1.86–2.13 Å. In the fourth Co4+ site, Co4+ is bonded to six O2- atoms to form distorted CoO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with two equivalent CoO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 47–48°. There are a spread of Co–O bond distances ranging from 1.93–2.22 Å. There are twelve inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one FeO6 octahedra, a cornercorner with one CoO6 octahedra, corners with two equivalent MnO6 octahedra, and an edgeedge with one MnO6 octahedra. The corner-sharing octahedra tilt angles range from 38–53°. There are a spread of P–O bond distances ranging from 1.52–1.57 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one CoO6 octahedra, corners with three MnO6 octahedra, and an edgeedge with one FeO6 octahedra. The corner-sharing octahedra tilt angles range from 43–55°. There are a spread of P–O bond distances ranging from 1.52–1.58 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one FeO6 octahedra, a cornercorner with one CoO6 octahedra, corners with two equivalent MnO6 octahedra, and an edgeedge with one FeO6 octahedra. The corner-sharing octahedra tilt angles range from 40–55°. There are a spread of P–O bond distances ranging from 1.52–1.58 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with three FeO6 octahedra, and an edgeedge with one MnO6 octahedra. The corner-sharing octahedra tilt angles range from 36–53°. There are a spread of P–O bond distances ranging from 1.53–1.57 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with three FeO6 octahedra, and an edgeedge with one MnO6 octahedra. The corner-sharing octahedra tilt angles range from 36–53°. There are a spread of P–O bond distances ranging from 1.53–1.57 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one CoO6 octahedra, corners with three MnO6 octahedra, and an edgeedge with one MnO6 octahedra. The corner-sharing octahedra tilt angles range from 37–53°. There are a spread of P–O bond distances ranging from 1.54–1.56 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one CoO6 octahedra, corners with three FeO6 octahedra, and an edgeedge with one CoO6 octahedra. The corner-sharing octahedra tilt angles range from 40–56°. There are a spread of P–O bond distances ranging from 1.52–1.57 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one CoO6 octahedra, corners with three FeO6 octahedra, and an edgeedge with one CoO6 octahedra. The corner-sharing octahedra tilt angles range from 40–56°. There are a spread of P–O bond distances ranging from 1.53–1.57 Å. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with three CoO6 octahedra, and an edgeedge with one CoO6 octahedra. The corner-sharing octahedra tilt angles range from 47–56°. There are a spread of P–O bond distances ranging from 1.53–1.57 Å. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one FeO6 octahedra, corners with two equivalent CoO6 octahedra, and an edgeedge with one CoO6 octahedra. The corner-sharing octahedra tilt angles range from 46–53°. There are a spread of P–O bond distances ranging from 1.52–1.59 Å. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with three CoO6 octahedra, and an edgeedge with one FeO6 octahedra. The corner-sharing octahedra tilt angles range from 43–57°. There are a spread of P–O bond distances ranging from 1.54–1.56 Å. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one FeO6 octahedra, corners with two equivalent CoO6 octahedra, and an edgeedge with one FeO6 octahedra. The corner-sharing octahedra tilt angles range from 46–56°. There are a spread of P–O bond distances ranging from 1.52–1.57 Å. There are thirty-six inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Mn2+ and one P5+ atom. In the second O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Mn2+ and one P5+ atom. In the third O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Mn2+ and one P5+ atom. In the fourth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Mn2+ and one P5+ atom. In the fifth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Fe3+ and one P5+ atom. In the sixth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Fe3+ and one P5+ atom. In the seventh O2- site, O2- is bonded in a 3-coordinate geometry to two Mn2+ and one P5+ atom. In the eighth O2- site, O2- is bonded in a 3-coordinate geometry to one Mn2+, one Fe3+, and one P5+ atom. In the ninth O2- site, O2- is bonded in a 3-coordinate geometry to one Mn2+, one Fe3+, and one P5+ atom. In the tenth O2- site, O2- is bonded in a 3-coordinate geometry to one Mn2+, one Fe3+, and one P5+ atom. In the eleventh O2- site, O2- is bonded in a 3-coordinate geometry to one Mn2+, one Fe3+, and one P5+ atom. In the twelfth O2- site, O2- is bonded in a 3-coordinate geometry to two Mn2+ and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a bent 120 degrees geometry to one Mn2+ and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a bent 120 degrees geometry to one Mn2+ and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a bent 120 degrees geometry to one Mn2+ and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Fe3+ and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Fe3+ and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Mn2+ and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Fe3+ and one P5+ atom. In the twentieth O2- site, O2- is bonded in a bent 150 degrees geometry to one Fe3+ and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a bent 150 degrees geometry to one Co4+ and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Co4+ and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a bent 150 degrees geometry to one Co4+ and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a bent 150 degrees geometry to one Co4+ and one P5+ atom. In the twenty-fifth O2- site, O2- is bonded in a 3-coordinate geometry to one Fe3+, one Co4+, and one P5+ atom. In the twenty-sixth O2- site, O2- is bonded in a 3-coordinate geometry to one Fe3+, one Co4+, and one P5+ atom. In the twenty-seventh O2- site, O2- is bonded in a 3-coordinate geometry to two Co4+ and one P5+ atom. In the twenty-eighth O2- site, O2- is bonded in a 3-coordinate geometry to two Co4+ and one P5+ atom. In the twenty-ninth O2- site, O2- is bonded in a 3-coordinate geometry to one Fe3+, one Co4+, and one P5+ atom. In the thirtieth O2- site, O2- is bonded in a 3-coordinate geometry to one Fe3+, one Co4+, and one P5+ atom. In the thirty-first O2- site, O2- is bonded in a d

36 MATERIALS SCIENCE↗

Materials Data on Na4Co2C4SO16 by Materials Project

Na4Co2C4SO16 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded in a distorted hexagonal planar geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.39–2.56 Å. In the second Na1+ site, Na1+ is bonded in a distorted hexagonal planar geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.41–2.50 Å. In the third Na1+ site, Na1+ is bonded in a distorted hexagonal planar geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.40–2.47 Å. In the fourth Na1+ site, Na1+ is bonded in a distorted hexagonal planar geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.38–2.52 Å. In the fifth Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share a cornercorner with one NaO6 octahedra, edges with two CoO6 octahedra, and an edgeedge with one SO4 tetrahedra. The corner-sharing octahedral tilt angles are 83°. There are a spread of Na–O bond distances ranging from 2.39–2.48 Å. In the sixth Na1+ site, Na1+ is bonded in a distorted hexagonal planar geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.35–2.54 Å. In the seventh Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share a cornercorner with one NaO6 octahedra, edges with two CoO6 octahedra, and an edgeedge with one SO4 tetrahedra. The corner-sharing octahedral tilt angles are 62°. There are a spread of Na–O bond distances ranging from 2.37–2.52 Å. In the eighth Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share corners with two NaO6 octahedra, edges with two CoO6 octahedra, and an edgeedge with one SO4 tetrahedra. The corner-sharing octahedra tilt angles range from 62–83°. There are a spread of Na–O bond distances ranging from 2.36–2.50 Å. There are four inequivalent Co3+ sites. In the first Co3+ site, Co3+ is bonded to six O2- atoms to form CoO6 octahedra that share an edgeedge with one NaO6 octahedra. There are a spread of Co–O bond distances ranging from 1.96–2.07 Å. In the second Co3+ site, Co3+ is bonded to six O2- atoms to form CoO6 octahedra that share edges with two NaO6 octahedra. There are a spread of Co–O bond distances ranging from 1.96–2.09 Å. In the third Co3+ site, Co3+ is bonded to six O2- atoms to form CoO6 octahedra that share an edgeedge with one NaO6 octahedra. There are a spread of Co–O bond distances ranging from 2.00–2.07 Å. In the fourth Co3+ site, Co3+ is bonded to six O2- atoms to form CoO6 octahedra that share edges with two NaO6 octahedra. There are a spread of Co–O bond distances ranging from 2.02–2.12 Å. There are eight inequivalent C4+ sites. In the first C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of C–O bond distances ranging from 1.28–1.31 Å. In the second C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of C–O bond distances ranging from 1.28–1.31 Å. In the third C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.29 Å) and two longer (1.30 Å) C–O bond length. In the fourth C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.29 Å) and one longer (1.30 Å) C–O bond length. In the fifth C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.29 Å) and two longer (1.30 Å) C–O bond length. In the sixth C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of C–O bond distances ranging from 1.28–1.31 Å. In the seventh C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.29 Å) and two longer (1.30 Å) C–O bond length. In the eighth C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of C–O bond distances ranging from 1.28–1.30 Å. There are two inequivalent S6+ sites. In the first S6+ site, S6+ is bonded to four O2- atoms to form SO4 tetrahedra that share edges with two NaO6 octahedra. There is two shorter (1.49 Å) and two longer (1.50 Å) S–O bond length. In the second S6+ site, S6+ is bonded to four O2- atoms to form SO4 tetrahedra that share an edgeedge with one NaO6 octahedra. There are a spread of S–O bond distances ranging from 1.48–1.51 Å. There are thirty-two inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Co3+, and one C4+ atom. In the second O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Co3+, and one C4+ atom. In the third O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Co3+, and one C4+ atom. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Co3+, and one C4+ atom. In the fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Na1+, one Co3+, and one C4+ atom. In the sixth O2- site, O2- is bonded in a 1-coordinate geometry to two Na1+ and one S6+ atom. In the seventh O2- site, O2- is bonded in a 3-coordinate geometry to two Na1+ and one S6+ atom. In the eighth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Co3+, and one C4+ atom. In the ninth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Co3+, and one C4+ atom. In the tenth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Co3+, and one C4+ atom. In the eleventh O2- site, O2- is bonded in a distorted L-shaped geometry to one Na1+ and one S6+ atom. In the twelfth O2- site, O2- is bonded in a distorted L-shaped geometry to one Na1+ and one S6+ atom. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Co3+, and one C4+ atom. In the fourteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Na1+, one Co3+, and one C4+ atom. In the fifteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Co3+, and one C4+ atom. In the sixteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Na1+, one Co3+, and one C4+ atom. In the seventeenth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Co3+, and one C4+ atom. In the eighteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Co3+, and one C4+ atom. In the nineteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Na1+, one Co3+, and one C4+ atom. In the twentieth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Na1+, one Co3+, and one C4+ atom. In the twenty-first O2- site, O2- is bonded in a 3-coordinate geometry to two Na1+ and one S6+ atom. In the twenty-second O2- site, O2- is bonded to three Na1+ and one S6+ atom to form distorted edge-sharing ONa3S trigonal pyramids. In the twenty-third O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Co3+, and one C4+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Co3+ and one C4+ atom. In the twenty-fifth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Co3+, and one C4+ atom. In the twenty-sixth O2- site, O2- is bonded to three Na1+ and one S6+ atom to form distorted edge-sharing ONa3S trigonal pyramids. In the twenty-seventh O2- site, O2- is bonded in a 3-coordinate geometry to two Na1+ and one S6+ atom. In the twenty-eighth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Co3+, and one C4+ atom. In the twenty-ninth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Co3+, and one C4+ atom. In the thirtieth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Co3+, and one C4+ atom. In the thirty-first O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Co3+, and one C4+ atom. In the thirty-second O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Co3+, and one C4+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li2TiCr3O8 by Materials Project

Li2TiCr3O8 is Spinel-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three TiO6 octahedra and corners with nine CrO6 octahedra. The corner-sharing octahedra tilt angles range from 56–62°. There are a spread of Li–O bond distances ranging from 1.98–2.02 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three TiO6 octahedra and corners with nine CrO6 octahedra. The corner-sharing octahedra tilt angles range from 56–62°. There are a spread of Li–O bond distances ranging from 1.99–2.01 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three TiO6 octahedra and corners with nine CrO6 octahedra. The corner-sharing octahedra tilt angles range from 57–62°. There are a spread of Li–O bond distances ranging from 2.00–2.02 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three TiO6 octahedra and corners with nine CrO6 octahedra. The corner-sharing octahedra tilt angles range from 56–64°. There are a spread of Li–O bond distances ranging from 1.99–2.01 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three TiO6 octahedra and corners with nine CrO6 octahedra. The corner-sharing octahedra tilt angles range from 56–62°. There are a spread of Li–O bond distances ranging from 1.97–2.01 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three TiO6 octahedra and corners with nine CrO6 octahedra. The corner-sharing octahedra tilt angles range from 56–62°. There are a spread of Li–O bond distances ranging from 1.99–2.03 Å. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three TiO6 octahedra and corners with nine CrO6 octahedra. The corner-sharing octahedra tilt angles range from 57–62°. There are a spread of Li–O bond distances ranging from 1.99–2.02 Å. In the eighth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three TiO6 octahedra and corners with nine CrO6 octahedra. The corner-sharing octahedra tilt angles range from 57–63°. There are two shorter (2.00 Å) and two longer (2.02 Å) Li–O bond lengths. There are four inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six LiO4 tetrahedra and edges with six CrO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.97–2.03 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 CrO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.94–2.04 Å. In the third Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six LiO4 tetrahedra and edges with six CrO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.97–2.02 Å. In the fourth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six LiO4 tetrahedra and edges with six CrO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.95–2.03 Å. There are twelve inequivalent Cr+3.33+ sites. In the first Cr+3.33+ site, Cr+3.33+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra, edges with two TiO6 octahedra, and edges with four CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 1.91–2.00 Å. In the second Cr+3.33+ site, Cr+3.33+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra, edges with two TiO6 octahedra, and edges with four CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 2.02–2.05 Å. In the third Cr+3.33+ site, Cr+3.33+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra, edges with two TiO6 octahedra, and edges with four CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 1.94–2.00 Å. In the fourth Cr+3.33+ site, Cr+3.33+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra, edges with two TiO6 octahedra, and edges with four CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 2.02–2.05 Å. In the fifth Cr+3.33+ site, Cr+3.33+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra, edges with two TiO6 octahedra, and edges with four CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 2.01–2.05 Å. In the sixth Cr+3.33+ site, Cr+3.33+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra, edges with two TiO6 octahedra, and edges with four CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 2.01–2.05 Å. In the seventh Cr+3.33+ site, Cr+3.33+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra, edges with two TiO6 octahedra, and edges with four CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 1.92–2.00 Å. In the eighth Cr+3.33+ site, Cr+3.33+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra, edges with two TiO6 octahedra, and edges with four CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 2.01–2.05 Å. In the ninth Cr+3.33+ site, Cr+3.33+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra, edges with two TiO6 octahedra, and edges with four CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 1.93–2.02 Å. In the tenth Cr+3.33+ site, Cr+3.33+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra, edges with two TiO6 octahedra, and edges with four CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 2.02–2.04 Å. In the eleventh Cr+3.33+ site, Cr+3.33+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra, edges with two TiO6 octahedra, and edges with four CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 2.02–2.04 Å. In the twelfth Cr+3.33+ site, Cr+3.33+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra, edges with two TiO6 octahedra, and edges with four CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 2.02–2.05 Å. There are thirty-two inequivalent O2- sites. In the first O2- site, O2- is bonded to one Li1+, one Ti4+, and two Cr+3.33+ atoms to form distorted OLiTiCr2 trigonal pyramids that share a cornercorner with one OLiCr3 tetrahedra, corners with three OLiTiCr2 trigonal pyramids, and an edgeedge with one OLiTiCr2 trigonal pyramid. In the second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Ti4+, and two Cr+3.33+ atoms. In the third O2- site, O2- is bonded to one Li1+ and three Cr+3.33+ atoms to form distorted OLiCr3 trigonal pyramids that share corners with five OLiCr3 trigonal pyramids and an edgeedge with one OLiTiCr2 trigonal pyramid. In the fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Ti4+, and two Cr+3.33+ atoms. In the fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Ti4+, and two Cr+3.33+ atoms. In the sixth O2- site, O2- is bonded to one Li1+ and three Cr+3.33+ atoms to form distorted OLiCr3 trigonal pyramids that share a cornercorner with one OLiCr3 tetrahedra and corners with six OLiTiCr2 trigonal pyramids. In the seventh O2- site, O2- is bonded to one Li1+, one Ti4+, and two Cr+3.33+ atoms to form distorted OLiTiCr2 trigonal pyramids that share a cornercorner with one OLiCr3 tetrahedra, corners with six OLiTiCr2 trigonal pyramids, and edges with two OLiCr3 trigonal pyramids. In the eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Ti4+, and two Cr+3.33+ atoms. In the ninth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Ti4+, and two Cr+3.33+ atoms. In the tenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Ti4+, and two Cr+3.33+ atoms. In the eleventh O2- site, O2- is bonded to one Li1+ and three Cr+3.33+ atoms to form distorted OLiCr3 trigonal pyramids that share a cornercorner with one OLiCr3 tetrahedra, corners with three OLiTiCr2 trigonal pyramids, and edges with two OLiTiCr2 trigonal pyramids. In the twelfth O2- site, O2- is bonded to one Li1+, one Ti4+, and two Cr+3.33+ atoms to form a mixture of distorted corner and edge-sharing OLiTiCr2 trigonal pyramids. In the thirteenth O2- site, O2- is bonded to one Li1+, one Ti4+, and two Cr+3.33+ atoms to form distorted OLiTiCr2 trigonal pyramids that share a cornercorner with one OLiCr3 tetrahedra, corners with five OLiTiCr2 trigonal pyramids, and edges with two OLiCr3 trigonal pyramids. In the fourteenth O2- site, O2- is bonded to one Li1+ and three Cr+3.33+ atoms to form distorted OLiCr3 tetrahedra that share corners with five OLiCr3 trigonal pyramids and an edgeedge with one OLiTiCr2 trigonal pyramid. In the fifteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Ti4+, and two Cr+3.33+ atoms. In the sixteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Ti4+, and two Cr+3.33+ atoms. In the seventeenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Ti4+, and two Cr+3.33+ atoms. In the eighteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Ti4+, and two Cr+3.33+ atoms. In the nineteenth O2- site, O2- is bonded to one Li1+ and three Cr+3.33+ atoms to form distorted corner-sharing OLiCr3 trigonal pyramids. In the twentieth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Ti4+, and two Cr+3.33+ atoms. In the twenty-first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Ti4+, and two Cr+3.33+ atoms. In the twenty-second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Cr+3.33+ atoms. In the twenty-third O2- site, O2- is bonded to one Li1+, one Ti4+, and two Cr+3.33+ atoms to form a mixture of distorted corner and edge-sharing OLiTiCr2 trigonal pyramids. In the twenty-fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Ti4+, and two Cr+3.33+ atoms. In the twenty-fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Ti4+, and two Cr+3.33+ atoms. In the twenty-sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Ti4+, and two Cr+3.33+ atoms. In the twenty-seventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Cr+3.33+ atoms. In the twenty-eighth O2- site, O2- is bonded to one Li1+, one Ti4+, and two Cr+3.33+ atoms to form a mixture of distorted corner and edge-sharing OLiTiCr2 trigonal pyramids. In the twenty-ninth O2- site, O2- is bonded to one Li1+, one Ti4+, and two Cr+3.33+ atoms to form a mixture of distorted corner and edge-sharing OLiTiCr2 trigonal pyramids. In the thirtieth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Cr+3.33+ atoms. In the thirty-first O2- site, O2- is bonded to one Li1+, one Ti4+, and two Cr+3.33+ atoms to form distorted OLiTiCr2 trigonal pyramids that share corners with two OLiTiCr2 trigonal pyramids and an edgeedge with on

36 MATERIALS SCIENCE↗

Materials Data on Li3V8O16 by Materials Project

Li3V8O16 is Ilmenite-like structured and 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 to six O2- atoms to form distorted LiO6 octahedra that share corners with six VO6 octahedra and edges with six VO6 octahedra. The corner-sharing octahedra tilt angles range from 9–22°. There are a spread of Li–O bond distances ranging from 2.02–2.46 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six VO6 octahedra and edges with six VO6 octahedra. The corner-sharing octahedra tilt angles range from 8–21°. There are a spread of Li–O bond distances ranging from 2.07–2.35 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with twelve VO6 octahedra. The corner-sharing octahedra tilt angles range from 57–62°. There are a spread of Li–O bond distances ranging from 1.98–2.03 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with twelve VO6 octahedra. The corner-sharing octahedra tilt angles range from 56–63°. There are a spread of Li–O bond distances ranging from 1.98–2.05 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with twelve VO6 octahedra. The corner-sharing octahedra tilt angles range from 54–62°. There are a spread of Li–O bond distances ranging from 2.00–2.03 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with twelve VO6 octahedra. The corner-sharing octahedra tilt angles range from 54–63°. There are a spread of Li–O bond distances ranging from 1.96–2.09 Å. There are sixteen inequivalent V+3.62+ sites. In the first V+3.62+ site, V+3.62+ is bonded to six O2- atoms to form VO6 octahedra that share corners with three LiO4 tetrahedra, an edgeedge with one LiO6 octahedra, and edges with six VO6 octahedra. There are a spread of V–O bond distances ranging from 1.90–2.04 Å. In the second V+3.62+ site, V+3.62+ is bonded to six O2- atoms to form VO6 octahedra that share corners with three LiO4 tetrahedra, an edgeedge with one LiO6 octahedra, and edges with six VO6 octahedra. There are a spread of V–O bond distances ranging from 1.87–2.09 Å. In the third V+3.62+ site, V+3.62+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with two LiO4 tetrahedra, and edges with six VO6 octahedra. The corner-sharing octahedra tilt angles range from 9–18°. There are a spread of V–O bond distances ranging from 1.99–2.13 Å. In the fourth V+3.62+ site, V+3.62+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two LiO4 tetrahedra, edges with two LiO6 octahedra, and edges with six VO6 octahedra. There are a spread of V–O bond distances ranging from 1.88–2.14 Å. In the fifth V+3.62+ site, V+3.62+ is bonded to six O2- atoms to form VO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with three LiO4 tetrahedra, an edgeedge with one LiO6 octahedra, and edges with six VO6 octahedra. The corner-sharing octahedral tilt angles are 10°. There are a spread of V–O bond distances ranging from 1.89–2.01 Å. In the sixth V+3.62+ site, V+3.62+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with four LiO4 tetrahedra, and edges with six VO6 octahedra. The corner-sharing octahedra tilt angles range from 12–21°. There are a spread of V–O bond distances ranging from 2.01–2.14 Å. In the seventh V+3.62+ site, V+3.62+ is bonded to six O2- atoms to form VO6 octahedra that share corners with four LiO4 tetrahedra and edges with six VO6 octahedra. There are a spread of V–O bond distances ranging from 1.88–2.06 Å. In the eighth V+3.62+ site, V+3.62+ is bonded to six O2- atoms to form VO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with three LiO4 tetrahedra, an edgeedge with one LiO6 octahedra, and edges with six VO6 octahedra. The corner-sharing octahedral tilt angles are 22°. There are a spread of V–O bond distances ranging from 2.02–2.10 Å. In the ninth V+3.62+ site, V+3.62+ is bonded to six O2- atoms to form VO6 octahedra that share corners with three LiO4 tetrahedra, an edgeedge with one LiO6 octahedra, and edges with six VO6 octahedra. There are a spread of V–O bond distances ranging from 1.90–2.04 Å. In the tenth V+3.62+ site, V+3.62+ is bonded to six O2- atoms to form VO6 octahedra that share corners with three LiO4 tetrahedra, an edgeedge with one LiO6 octahedra, and edges with six VO6 octahedra. There are a spread of V–O bond distances ranging from 1.87–2.03 Å. In the eleventh V+3.62+ site, V+3.62+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with four LiO4 tetrahedra, and edges with six VO6 octahedra. The corner-sharing octahedra tilt angles range from 12–20°. There are a spread of V–O bond distances ranging from 2.01–2.12 Å. In the twelfth V+3.62+ site, V+3.62+ is bonded to six O2- atoms to form VO6 octahedra that share corners with four LiO4 tetrahedra and edges with six VO6 octahedra. There are a spread of V–O bond distances ranging from 2.03–2.06 Å. In the thirteenth V+3.62+ site, V+3.62+ is bonded to six O2- atoms to form VO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with three LiO4 tetrahedra, an edgeedge with one LiO6 octahedra, and edges with six VO6 octahedra. The corner-sharing octahedral tilt angles are 19°. There are a spread of V–O bond distances ranging from 1.87–2.07 Å. In the fourteenth V+3.62+ site, V+3.62+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with two LiO4 tetrahedra, and edges with six VO6 octahedra. The corner-sharing octahedra tilt angles range from 8–11°. There are a spread of V–O bond distances ranging from 1.93–2.04 Å. In the fifteenth V+3.62+ site, V+3.62+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two LiO4 tetrahedra, edges with two LiO6 octahedra, and edges with six VO6 octahedra. There are a spread of V–O bond distances ranging from 1.84–2.09 Å. In the sixteenth V+3.62+ site, V+3.62+ is bonded to six O2- atoms to form VO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with three LiO4 tetrahedra, an edgeedge with one LiO6 octahedra, and edges with six VO6 octahedra. The corner-sharing octahedral tilt angles are 12°. There are a spread of V–O bond distances ranging from 2.01–2.12 Å. There are thirty-two inequivalent O2- sites. In the first O2- site, O2- is bonded to one Li1+ and three V+3.62+ atoms to form corner-sharing OLiV3 trigonal pyramids. In the second O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three V+3.62+ atoms. In the third O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three V+3.62+ atoms. In the fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three V+3.62+ atoms. In the fifth O2- site, O2- is bonded in a distorted see-saw-like geometry to one Li1+ and three V+3.62+ atoms. In the sixth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three V+3.62+ atoms. In the seventh O2- site, O2- is bonded to one Li1+ and three V+3.62+ atoms to form a mixture of distorted edge and corner-sharing OLiV3 trigonal pyramids. In the eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three V+3.62+ atoms. In the ninth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three V+3.62+ atoms. In the tenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three V+3.62+ atoms. In the eleventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three V+3.62+ atoms. In the twelfth O2- site, O2- is bonded in a distorted see-saw-like geometry to one Li1+ and three V+3.62+ atoms. In the thirteenth O2- site, O2- is bonded to one Li1+ and three V+3.62+ atoms to form a mixture of distorted edge and corner-sharing OLiV3 tetrahedra. In the fourteenth O2- site, O2- is bonded to one Li1+ and three V+3.62+ atoms to form a mixture of distorted edge and corner-sharing OLiV3 trigonal pyramids. In the fifteenth O2- site, O2- is bonded to one Li1+ and three V+3.62+ atoms to form a mixture of distorted edge and corner-sharing OLiV3 trigonal pyramids. In the sixteenth O2- site, O2- is bonded to one Li1+ and three V+3.62+ atoms to form a mixture of distorted edge and corner-sharing OLiV3 trigonal pyramids. In the seventeenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three V+3.62+ atoms. In the eighteenth O2- site, O2- is bonded to one Li1+ and three V+3.62+ atoms to form a mixture of distorted edge and corner-sharing OLiV3 trigonal pyramids. In the nineteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three V+3.62+ atoms. In the twentieth O2- site, O2- is bonded to one Li1+ and three V+3.62+ atoms to form a mixture of distorted edge and corner-sharing OLiV3 trigonal pyramids. In the twenty-first O2- site, O2- is bonded in a 3-coordinate geometry to three V+3.62+ atoms. In the twenty-second O2- site, O2- is bonded in a see-saw-like geometry to one Li1+ and three V+3.62+ atoms. In the twenty-third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three V+3.62+ atoms. In the twenty-fourth O2- site, O2- is bonded to one Li1+ and three V+3.62+ atoms to form a mixture of distorted edge and corner-sharing OLiV3 trigonal pyramids. In the twenty-fifth O2- site, O2- is bonded in a 3-coordinate geometry to three V+3.62+ atoms. In the twenty-sixth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three V+3.62+ atoms. In the twenty-seventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three V+3.62+ atoms. In the twenty-eighth O2- site, O2- is bonded to one Li1+ and three V+3.62+ atoms to form a mixture of distorted edge and corner-sharing OLiV3 trigonal pyramids. In the twenty-ninth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three V+3.62+ atoms. In the thirtieth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three V+3.62+ atoms. In the thirty-first O2- site, O2- is bonded to one Li1+ and three V+3.62+ atoms to form a mixture of distorted edge and corner-sharing OLiV3 trigonal pyramids. In the thirty-second O2- site, O2- is bonded to one Li1+ and three V+3.62+ atoms to form a mixture of distorted edge and corner-sharing OLiV3 trigonal pyramids.

36 MATERIALS SCIENCE↗

Materials Data on Li3Mn4(P2O7)4 by Materials Project

Li3Mn4(P2O7)4 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 to four O2- atoms to form LiO4 tetrahedra that share corners with four PO4 tetrahedra and an edgeedge with one LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.83–1.95 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four PO4 tetrahedra and an edgeedge with one LiO4 tetrahedra. There is one shorter (1.84 Å) and three longer (1.94 Å) Li–O bond length. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four PO4 tetrahedra, a cornercorner with one MnO5 trigonal bipyramid, and an edgeedge with one LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.85–1.95 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four PO4 tetrahedra and an edgeedge with one LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.83–1.96 Å. In the fifth Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.81–2.62 Å. In the sixth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 square pyramids that share a cornercorner with one MnO6 octahedra, corners with three PO4 tetrahedra, a cornercorner with one MnO5 trigonal bipyramid, an edgeedge with one MnO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedral tilt angles are 55°. There are a spread of Li–O bond distances ranging from 1.89–2.22 Å. There are eight inequivalent Mn+3.25+ sites. In the first Mn+3.25+ site, Mn+3.25+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 1.96–2.57 Å. In the second Mn+3.25+ site, Mn+3.25+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Mn–O bond distances ranging from 1.93–2.35 Å. In the third Mn+3.25+ site, Mn+3.25+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Mn–O bond distances ranging from 1.95–2.32 Å. In the fourth Mn+3.25+ site, Mn+3.25+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 1.95–2.48 Å. In the fifth Mn+3.25+ site, Mn+3.25+ is bonded to six O2- atoms to form MnO6 octahedra that share a cornercorner with one LiO5 square pyramid, corners with six PO4 tetrahedra, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Mn–O bond distances ranging from 1.93–2.30 Å. In the sixth Mn+3.25+ site, Mn+3.25+ is bonded to five O2- atoms to form distorted MnO5 trigonal bipyramids that share a cornercorner with one LiO5 square pyramid, a cornercorner with one LiO4 tetrahedra, corners with five PO4 tetrahedra, and an edgeedge with one MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.94–2.22 Å. In the seventh Mn+3.25+ site, Mn+3.25+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Mn–O bond distances ranging from 1.92–2.34 Å. In the eighth Mn+3.25+ site, Mn+3.25+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one LiO5 square pyramid. There are a spread of Mn–O bond distances ranging from 1.94–2.54 Å. There are sixteen inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one LiO5 square pyramid, a cornercorner with one PO4 tetrahedra, and a cornercorner with one MnO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 59°. There are a spread of P–O bond distances ranging from 1.49–1.61 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedral tilt angles are 30°. There are a spread of P–O bond distances ranging from 1.49–1.61 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedral tilt angles are 54°. There are a spread of P–O bond distances ranging from 1.51–1.59 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three MnO6 octahedra, a cornercorner with one LiO5 square pyramid, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 21–52°. There are a spread of P–O bond distances ranging from 1.51–1.63 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three MnO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 25–47°. There are a spread of P–O bond distances ranging from 1.53–1.62 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one PO4 tetrahedra, corners with two LiO4 tetrahedra, and a cornercorner with one MnO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 55°. There are a spread of P–O bond distances ranging from 1.51–1.60 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one PO4 tetrahedra, and a cornercorner with one MnO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 63°. There are a spread of P–O bond distances ranging from 1.51–1.60 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedral tilt angles are 31°. There are a spread of P–O bond distances ranging from 1.49–1.62 Å. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedral tilt angles are 33°. There are a spread of P–O bond distances ranging from 1.49–1.61 Å. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedral tilt angles are 60°. There are a spread of P–O bond distances ranging from 1.52–1.59 Å. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedral tilt angles are 53°. There are a spread of P–O bond distances ranging from 1.51–1.60 Å. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three MnO6 octahedra, a cornercorner with one PO4 tetrahedra, and an edgeedge with one LiO5 square pyramid. The corner-sharing octahedra tilt angles range from 24–51°. There are a spread of P–O bond distances ranging from 1.50–1.62 Å. In the thirteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three MnO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 27–48°. There are a spread of P–O bond distances ranging from 1.52–1.62 Å. In the fourteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one LiO5 square pyramid, a cornercorner with one PO4 tetrahedra, corners with two LiO4 tetrahedra, and a cornercorner with one MnO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 53°. There are a spread of P–O bond distances ranging from 1.50–1.59 Å. In the fifteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one PO4 tetrahedra, corners with two LiO4 tetrahedra, and a cornercorner with one MnO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 29°. There are a spread of P–O bond distances ranging from 1.49–1.61 Å. In the sixteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedral tilt angles are 62°. There are a spread of P–O bond distances ranging from 1.48–1.61 Å. There are fifty-six inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two Li1+ and one P5+ atom. In the second O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Mn+3.25+ and one P5+ atom. In the third O2- site, O2- is bonded in a 3-coordinate geometry to two Mn+3.25+ and one P5+ atom. In the fourth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Mn+3.25+ and one P5+ atom. In the fifth O2- site, O2- is bonded in a bent 150 degrees geometry to two P5+ atoms. In the sixth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+3.25+ and one P5+ atom. In the seventh O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one Mn+3.25+, and one P5+ atom. In the eighth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Li1+ and one P5+ atom. In the ninth O2- site, O2- is bonded in a bent 150 degrees geometry to two P5+ atoms. In the tenth O2- site, O2- is bonded in a 3-coordinate geometry to two Li1+ and one P5+ atom. In the eleventh O2- site, O2- is bonded in a 2-coordinate geometry to two Mn+3.25+ and one P5+ atom. In the twelfth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+3.25+ and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a water-like geometry to one Mn+3.25+ and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Mn+3.25+ and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+3.25+ and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a water-like geometry to one Mn+3.25+ and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+3.25+ and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a 2-coordinate geometry to two Mn+3.25+ and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two P5+ atoms. In the twentieth O2- site, O2- is bonded in a 3-coordinate geometry to two Li1+ and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Li1+ and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one Mn+3.25+, and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+3.25+ and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a bent 150 degrees geometry to two P5+ atoms. In the twenty-fifth O2- site, O2- is bonded in a 3-coordinate geometry to two Mn+3.25+ and one P5+ atom. In the twenty-sixth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Mn+3.25+ and one P5+ atom. In the twenty-seventh O2- site, O2- is bonded in a single-bond geometry to one P5+ atom. In the twenty-eighth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Mn+3.

36 MATERIALS SCIENCE↗

Materials Data on Na4Ni2C4SO16 by Materials Project

Na4Ni2C4SO16 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share corners with two NaO6 octahedra, edges with two NiO6 octahedra, and an edgeedge with one SO4 tetrahedra. The corner-sharing octahedra tilt angles range from 62–82°. There are a spread of Na–O bond distances ranging from 2.39–2.47 Å. In the second Na1+ site, Na1+ is bonded in a distorted hexagonal planar geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.36–2.48 Å. In the third Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share corners with three NaO6 octahedra, edges with two NiO6 octahedra, and an edgeedge with one SO4 tetrahedra. The corner-sharing octahedra tilt angles range from 56–87°. There are a spread of Na–O bond distances ranging from 2.36–2.51 Å. In the fourth Na1+ site, Na1+ is bonded in a distorted hexagonal planar geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.38–2.53 Å. In the fifth Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share corners with three NaO6 octahedra, edges with two NiO6 octahedra, and an edgeedge with one SO4 tetrahedra. The corner-sharing octahedra tilt angles range from 59–81°. There are a spread of Na–O bond distances ranging from 2.35–2.56 Å. In the sixth Na1+ site, Na1+ is bonded in a distorted hexagonal planar geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.38–2.50 Å. In the seventh Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share corners with two NaO6 octahedra, edges with two NiO6 octahedra, and an edgeedge with one SO4 tetrahedra. The corner-sharing octahedra tilt angles range from 56–81°. There are a spread of Na–O bond distances ranging from 2.38–2.49 Å. In the eighth Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share corners with two NaO6 octahedra, edges with two NiO6 octahedra, and an edgeedge with one SO4 tetrahedra. The corner-sharing octahedra tilt angles range from 59–87°. There are a spread of Na–O bond distances ranging from 2.39–2.48 Å. There are four inequivalent Ni3+ sites. In the first Ni3+ site, Ni3+ is bonded to six O2- atoms to form NiO6 octahedra that share edges with three NaO6 octahedra. There are a spread of Ni–O bond distances ranging from 2.06–2.12 Å. In the second Ni3+ site, Ni3+ is bonded to six O2- atoms to form NiO6 octahedra that share an edgeedge with one NaO6 octahedra. There are a spread of Ni–O bond distances ranging from 2.05–2.10 Å. In the third Ni3+ site, Ni3+ is bonded to six O2- atoms to form NiO6 octahedra that share edges with four NaO6 octahedra. There are a spread of Ni–O bond distances ranging from 2.06–2.11 Å. In the fourth Ni3+ site, Ni3+ is bonded to six O2- atoms to form NiO6 octahedra that share edges with two NaO6 octahedra. There are a spread of Ni–O bond distances ranging from 2.07–2.11 Å. There are eight inequivalent C4+ sites. In the first C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.29 Å) and one longer (1.30 Å) C–O bond length. In the second C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of C–O bond distances ranging from 1.28–1.30 Å. In the third C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.29 Å) and one longer (1.30 Å) C–O bond length. In the fourth C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.29 Å) and two longer (1.30 Å) C–O bond length. In the fifth C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.29 Å) and one longer (1.30 Å) C–O bond length. In the sixth C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of C–O bond distances ranging from 1.28–1.30 Å. In the seventh C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of C–O bond distances ranging from 1.28–1.30 Å. In the eighth C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.28 Å) and two longer (1.30 Å) C–O bond length. There are two inequivalent S6+ sites. In the first S6+ site, S6+ is bonded to four O2- atoms to form SO4 tetrahedra that share edges with three NaO6 octahedra. There is two shorter (1.49 Å) and two longer (1.51 Å) S–O bond length. In the second S6+ site, S6+ is bonded to four O2- atoms to form SO4 tetrahedra that share edges with two NaO6 octahedra. There is two shorter (1.49 Å) and two longer (1.50 Å) S–O bond length. There are thirty-two inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to two Na1+ and one S6+ atom. In the second O2- site, O2- is bonded to three Na1+ and one S6+ atom to form distorted edge-sharing ONa3S trigonal pyramids. In the third O2- site, O2- is bonded to three Na1+ and one S6+ atom to form distorted edge-sharing ONa3S trigonal pyramids. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to two Na1+ and one S6+ atom. In the fifth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Ni3+, and one C4+ atom. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Ni3+, and one C4+ atom. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Ni3+, and one C4+ atom. In the eighth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Ni3+, and one C4+ atom. In the ninth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Ni3+, and one C4+ atom. In the tenth O2- site, O2- is bonded in a 1-coordinate geometry to one Na1+, one Ni3+, and one C4+ atom. In the eleventh O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Ni3+, and one C4+ atom. In the twelfth O2- site, O2- is bonded in a 1-coordinate geometry to one Na1+, one Ni3+, and one C4+ atom. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Ni3+, and one C4+ atom. In the fourteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Na1+, one Ni3+, and one C4+ atom. In the fifteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Ni3+, and one C4+ atom. In the sixteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Na1+, one Ni3+, and one C4+ atom. In the seventeenth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Ni3+, and one C4+ atom. In the eighteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Ni3+, and one C4+ atom. In the nineteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Na1+, one Ni3+, and one C4+ atom. In the twentieth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Na1+, one Ni3+, and one C4+ atom. In the twenty-first O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Ni3+ and one C4+ atom. In the twenty-second O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Ni3+, and one C4+ atom. In the twenty-third O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Ni3+, and one C4+ atom. In the twenty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Ni3+, and one C4+ atom. In the twenty-fifth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Ni3+, and one C4+ atom. In the twenty-sixth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Ni3+, and one C4+ atom. In the twenty-seventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Na1+, one Ni3+, and one C4+ atom. In the twenty-eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Na1+, one Ni3+, and one C4+ atom. In the twenty-ninth O2- site, O2- is bonded in a 3-coordinate geometry to two Na1+ and one S6+ atom. In the thirtieth O2- site, O2- is bonded in a 1-coordinate geometry to two Na1+ and one S6+ atom. In the thirty-first O2- site, O2- is bonded in a distorted L-shaped geometry to one Na1+ and one S6+ atom. In the thirty-second O2- site, O2- is bonded in a distorted L-shaped geometry to one Na1+ and one S6+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li5V3P8O29 by Materials Project

Li5V3P8O29 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are ten inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with four PO4 tetrahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.99–2.15 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three VO6 octahedra and corners with four PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 66–71°. There are a spread of Li–O bond distances ranging from 1.87–2.31 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four PO4 tetrahedra and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.94–2.15 Å. In the fourth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.93–2.28 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with four PO4 tetrahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.89–2.25 Å. In the sixth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.96–2.20 Å. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four PO4 tetrahedra and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.94–2.14 Å. In the eighth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four PO4 tetrahedra and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.87–2.27 Å. In the ninth Li1+ site, Li1+ is bonded in a 3-coordinate geometry to three O2- atoms. There are a spread of Li–O bond distances ranging from 1.98–2.10 Å. In the tenth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.96–2.48 Å. There are six inequivalent V+4.33+ sites. In the first V+4.33+ site, V+4.33+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and edges with two LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.88–2.00 Å. In the second V+4.33+ site, V+4.33+ is bonded to six O2- atoms to form VO6 octahedra that share a cornercorner with one LiO4 tetrahedra, corners with six PO4 tetrahedra, and an edgeedge with one LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.88–2.02 Å. In the third V+4.33+ site, V+4.33+ is bonded to six O2- atoms to form VO6 octahedra that share a cornercorner with one LiO4 tetrahedra and corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.83–2.04 Å. In the fourth V+4.33+ site, V+4.33+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.84–2.03 Å. In the fifth V+4.33+ site, V+4.33+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.88–2.02 Å. In the sixth V+4.33+ site, V+4.33+ is bonded to six O2- atoms to form VO6 octahedra that share a cornercorner with one LiO4 tetrahedra, corners with six PO4 tetrahedra, and an edgeedge with one LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.87–2.04 Å. There are sixteen inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 44–46°. There are a spread of P–O bond distances ranging from 1.50–1.61 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 39–47°. There are a spread of P–O bond distances ranging from 1.48–1.62 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 39–46°. There are a spread of P–O bond distances ranging from 1.51–1.61 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 36–40°. There are a spread of P–O bond distances ranging from 1.50–1.61 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra and a cornercorner with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 25–34°. There are a spread of P–O bond distances ranging from 1.49–1.59 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 38–45°. There are a spread of P–O bond distances ranging from 1.49–1.62 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 39–46°. There are a spread of P–O bond distances ranging from 1.50–1.61 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedral tilt angles are 44°. There are a spread of P–O bond distances ranging from 1.49–1.62 Å. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 37–39°. There are a spread of P–O bond distances ranging from 1.48–1.60 Å. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 41–48°. There are a spread of P–O bond distances ranging from 1.50–1.61 Å. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 38–40°. There are a spread of P–O bond distances ranging from 1.51–1.63 Å. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 29–36°. There are a spread of P–O bond distances ranging from 1.49–1.61 Å. In the thirteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra and a cornercorner with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 29–36°. There are a spread of P–O bond distances ranging from 1.48–1.61 Å. In the fourteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 36–43°. There are a spread of P–O bond distances ranging from 1.48–1.61 Å. In the fifteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 36–48°. There are a spread of P–O bond distances ranging from 1.51–1.61 Å. In the sixteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 40–43°. There are a spread of P–O bond distances ranging from 1.49–1.63 Å. There are fifty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Li1+ and one P5+ atom. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+4.33+, and one P5+ atom. In the third O2- site, O2- is bonded in a bent 150 degrees geometry to one Li1+ and one P5+ atom. In the fourth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one V+4.33+ and one P5+ atom. In the fifth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one V+4.33+, and one P5+ atom. In the sixth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.33+ and one P5+ atom. In the seventh O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.33+ and one P5+ atom. In the eighth O2- site, O2- is bonded in a 2-coordinate geometry to two Li1+ and one P5+ atom. In the ninth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.33+ and one P5+ atom. In the tenth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.33+ and one P5+ atom. In the eleventh O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.33+ and one P5+ atom. In the twelfth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+4.33+, and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a linear geometry to one Li1+ and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a single-bond geometry to one P5+ atom. In the fifteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+4.33+, and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+4.33+, and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+4.33+, and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+4.33+, and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two P5+ atoms. In the twentieth O2- site, O2- is bonded in a trigonal planar geometry to two Li1+ and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a 3-coordinate geometry to two Li1+ and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+4.33+, and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one V+4.33+, and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+4.33+, and one P5+ atom. In the twenty-fifth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.33+ and one P5+ atom. In the twenty-sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+4.33+, and one P5+ atom. In the twenty-seventh O2- site, O2-

36 MATERIALS SCIENCE↗

Materials Data on Li5V3P8O29 by Materials Project

Li5V3P8O29 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are ten inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four PO4 tetrahedra, an edgeedge with one LiO6 octahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.99–2.18 Å. In the second Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.98–2.26 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with four PO4 tetrahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 2.01–2.17 Å. In the fourth Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.92–2.72 Å. In the fifth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.93–2.20 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with four PO4 tetrahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.94–2.16 Å. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four PO4 tetrahedra, an edgeedge with one LiO6 octahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.95–2.13 Å. In the eighth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 2.00–2.25 Å. In the ninth Li1+ site, Li1+ is bonded in a 3-coordinate geometry to three O2- atoms. There are a spread of Li–O bond distances ranging from 1.84–2.14 Å. In the tenth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with six PO4 tetrahedra and edges with two LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 2.16–2.54 Å. There are six inequivalent V+4.33+ sites. In the first V+4.33+ site, V+4.33+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.85–1.92 Å. In the second V+4.33+ site, V+4.33+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.89–1.99 Å. In the third V+4.33+ site, V+4.33+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.86–1.93 Å. In the fourth V+4.33+ site, V+4.33+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.86–2.04 Å. In the fifth V+4.33+ site, V+4.33+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.85–2.02 Å. In the sixth V+4.33+ site, V+4.33+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.90–1.98 Å. There are sixteen inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 40–43°. There are a spread of P–O bond distances ranging from 1.50–1.62 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 40–48°. There are a spread of P–O bond distances ranging from 1.50–1.61 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 41–47°. There are a spread of P–O bond distances ranging from 1.50–1.62 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra and a cornercorner with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 30–37°. There are a spread of P–O bond distances ranging from 1.49–1.60 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra and a cornercorner with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 32–37°. There are a spread of P–O bond distances ranging from 1.49–1.58 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 38–43°. There are a spread of P–O bond distances ranging from 1.50–1.61 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 40–50°. There are a spread of P–O bond distances ranging from 1.51–1.62 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 38–45°. There are a spread of P–O bond distances ranging from 1.51–1.61 Å. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedral tilt angles are 41°. There are a spread of P–O bond distances ranging from 1.48–1.61 Å. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 37–54°. There are a spread of P–O bond distances ranging from 1.51–1.62 Å. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 37–41°. There are a spread of P–O bond distances ranging from 1.51–1.61 Å. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra and a cornercorner with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 34–37°. There are a spread of P–O bond distances ranging from 1.49–1.59 Å. In the thirteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra and a cornercorner with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 29–38°. There are a spread of P–O bond distances ranging from 1.49–1.58 Å. In the fourteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 39–50°. There are a spread of P–O bond distances ranging from 1.49–1.60 Å. In the fifteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 37–47°. There are a spread of P–O bond distances ranging from 1.50–1.63 Å. In the sixteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 41–47°. There are a spread of P–O bond distances ranging from 1.51–1.63 Å. There are fifty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to two Li1+ and one P5+ atom. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+4.33+, and one P5+ atom. In the third O2- site, O2- is bonded in a bent 150 degrees geometry to one Li1+ and one P5+ atom. In the fourth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one V+4.33+ and one P5+ atom. In the fifth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.33+ and one P5+ atom. In the sixth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.33+ and one P5+ atom. In the seventh O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.33+ and one P5+ atom. In the eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Li1+ and one P5+ atom. In the ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+4.33+, and one P5+ atom. In the tenth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.33+ and one P5+ atom. In the eleventh O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.33+ and one P5+ atom. In the twelfth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one V+4.33+, and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a single-bond geometry to one P5+ atom. In the fourteenth O2- site, O2- is bonded in a single-bond geometry to one P5+ atom. In the fifteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+4.33+, and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.33+ and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one V+4.33+, and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+4.33+, and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two P5+ atoms. In the twentieth O2- site, O2- is bonded in a 4-coordinate geometry to three Li1+ and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a distorted trigonal planar geometry to two Li1+ and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.33+ and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one V+4.33+, and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+4.33+, and one P5+ atom. In the twenty-fifth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.33+ and one P5+ atom. In the twenty-sixth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one V+4.33+ and one P5+ atom. In the twenty-seventh O2- site, O2-

36 MATERIALS SCIENCE↗

Materials Data on Nd11Ti16O48 by Materials Project

Nd11Ti16O48 is Pb (Zr_0.50 Ti_0.48) O_3-like structured and crystallizes in the orthorhombic Amm2 space group. The structure is three-dimensional. there are twelve inequivalent Nd+2.91+ sites. In the first Nd+2.91+ site, Nd+2.91+ is bonded in a 9-coordinate geometry to six O2- atoms. There are a spread of Nd–O bond distances ranging from 2.32–2.73 Å. In the second Nd+2.91+ site, Nd+2.91+ is bonded in a 12-coordinate geometry to eight O2- atoms. There are a spread of Nd–O bond distances ranging from 2.40–2.78 Å. In the third Nd+2.91+ site, Nd+2.91+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Nd–O bond distances ranging from 2.37–2.65 Å. In the fourth Nd+2.91+ site, Nd+2.91+ is bonded in a 11-coordinate geometry to six O2- atoms. There are a spread of Nd–O bond distances ranging from 2.35–2.52 Å. In the fifth Nd+2.91+ site, Nd+2.91+ is bonded in a 12-coordinate geometry to twelve O2- atoms. There are a spread of Nd–O bond distances ranging from 2.44–3.02 Å. In the sixth Nd+2.91+ site, Nd+2.91+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Nd–O bond distances ranging from 2.43–2.52 Å. In the seventh Nd+2.91+ site, Nd+2.91+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Nd–O bond distances ranging from 2.40–2.72 Å. In the eighth Nd+2.91+ site, Nd+2.91+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Nd–O bond distances ranging from 2.34–2.85 Å. In the ninth Nd+2.91+ site, Nd+2.91+ is bonded in a 12-coordinate geometry to twelve O2- atoms. There are a spread of Nd–O bond distances ranging from 2.45–3.03 Å. In the tenth Nd+2.91+ site, Nd+2.91+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Nd–O bond distances ranging from 2.38–2.91 Å. In the eleventh Nd+2.91+ site, Nd+2.91+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Nd–O bond distances ranging from 2.47–2.64 Å. In the twelfth Nd+2.91+ site, Nd+2.91+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Nd–O bond distances ranging from 2.39–2.56 Å. There are eight inequivalent Ti4+ sites. In the first 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 1.74–2.36 Å. In the second Ti4+ site, Ti4+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Ti–O bond distances ranging from 1.68–2.06 Å. In the third Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–36°. There are a spread of Ti–O bond distances ranging from 1.82–2.22 Å. In the fourth Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 14–33°. There are a spread of Ti–O bond distances ranging from 1.79–2.27 Å. In the fifth Ti4+ site, Ti4+ is bonded to six O2- atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 11–25°. There are a spread of Ti–O bond distances ranging from 1.92–2.04 Å. In the sixth Ti4+ site, Ti4+ is bonded to six O2- atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 13–27°. There are a spread of Ti–O bond distances ranging from 1.88–2.11 Å. In the seventh Ti4+ site, Ti4+ is bonded to six O2- atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 9–31°. There are a spread of Ti–O bond distances ranging from 1.95–2.08 Å. In the eighth Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 15–36°. There are a spread of Ti–O bond distances ranging from 1.82–2.31 Å. There are thirty-three inequivalent O2- sites. In the first O2- site, O2- is bonded in a 1-coordinate geometry to one Nd+2.91+ and two Ti4+ atoms. In the second O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two Ti4+ atoms. In the third O2- site, O2- is bonded in a linear geometry to two equivalent Ti4+ atoms. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Nd+2.91+ and two Ti4+ atoms. In the fifth O2- site, O2- is bonded in a 4-coordinate geometry to two Nd+2.91+ and two equivalent Ti4+ atoms. In the sixth O2- site, O2- is bonded in a 1-coordinate geometry to two Nd+2.91+ and two Ti4+ atoms. In the seventh O2- site, O2- is bonded in a distorted single-bond geometry to two Nd+2.91+ and one Ti4+ atom. In the eighth O2- site, O2- is bonded in a 4-coordinate geometry to four Nd+2.91+ and two Ti4+ atoms. In the ninth O2- site, O2- is bonded in a 4-coordinate geometry to two Nd+2.91+ and two Ti4+ atoms. In the tenth O2- site, O2- is bonded in a 2-coordinate geometry to two Nd+2.91+ and two equivalent Ti4+ atoms. In the eleventh O2- site, O2- is bonded in a 4-coordinate geometry to two Nd+2.91+ and two equivalent Ti4+ atoms. In the twelfth O2- site, O2- is bonded in a distorted linear geometry to two Nd+2.91+ and two equivalent Ti4+ atoms. In the thirteenth O2- site, O2- is bonded in a linear geometry to two Nd+2.91+ and two equivalent Ti4+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted T-shaped geometry to one Nd+2.91+ and two equivalent Ti4+ atoms. In the fifteenth O2- site, O2- is bonded in a distorted T-shaped geometry to one Nd+2.91+ and two equivalent Ti4+ atoms. In the sixteenth O2- site, O2- is bonded in a 2-coordinate geometry to two Nd+2.91+ and two equivalent Ti4+ atoms. In the seventeenth O2- site, O2- is bonded to two Nd+2.91+ and two equivalent Ti4+ atoms to form distorted edge-sharing ONd2Ti2 tetrahedra. In the eighteenth O2- site, O2- is bonded in a distorted linear geometry to one Nd+2.91+ and two equivalent Ti4+ atoms. In the nineteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Nd+2.91+ and two equivalent Ti4+ atoms. In the twentieth O2- site, O2- is bonded in a 4-coordinate geometry to two Nd+2.91+ and two equivalent Ti4+ atoms. In the twenty-first O2- site, O2- is bonded to two Nd+2.91+ and two equivalent Ti4+ atoms to form a mixture of distorted corner and edge-sharing ONd2Ti2 tetrahedra. In the twenty-second O2- site, O2- is bonded in a 4-coordinate geometry to two Nd+2.91+ and two equivalent Ti4+ atoms. In the twenty-third O2- site, O2- is bonded in a distorted linear geometry to two Nd+2.91+ and two equivalent Ti4+ atoms. In the twenty-fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Nd+2.91+ and two equivalent Ti4+ atoms. In the twenty-fifth O2- site, O2- is bonded in a 2-coordinate geometry to two Nd+2.91+ and two equivalent Ti4+ atoms. In the twenty-sixth O2- site, O2- is bonded in a 2-coordinate geometry to three Nd+2.91+ and two equivalent Ti4+ atoms. In the twenty-seventh O2- site, O2- is bonded in a 4-coordinate geometry to two Nd+2.91+ and two equivalent Ti4+ atoms. In the twenty-eighth O2- site, O2- is bonded in a distorted tetrahedral geometry to two Nd+2.91+ and two equivalent Ti4+ atoms. In the twenty-ninth O2- site, O2- is bonded to two Nd+2.91+ and two equivalent Ti4+ atoms to form distorted edge-sharing ONd2Ti2 tetrahedra. In the thirtieth O2- site, O2- is bonded in a distorted tetrahedral geometry to two Nd+2.91+ and two equivalent Ti4+ atoms. In the thirty-first O2- site, O2- is bonded in a 4-coordinate geometry to two Nd+2.91+ and two equivalent Ti4+ atoms. In the thirty-second O2- site, O2- is bonded in a distorted tetrahedral geometry to two Nd+2.91+ and two equivalent Ti4+ atoms. In the thirty-third O2- site, O2- is bonded in a 4-coordinate geometry to two Nd+2.91+ and two equivalent Ti4+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Al2CuO4 by Materials Project

CuAl2O4 is Spinel-like structured and crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are ten inequivalent Cu2+ sites. In the first Cu2+ site, Cu2+ is bonded to four O2- atoms to form CuO4 tetrahedra that share a cornercorner with one CuO6 octahedra and corners with eleven AlO6 octahedra. The corner-sharing octahedra tilt angles range from 56–63°. There is three shorter (1.96 Å) and one longer (1.97 Å) Cu–O bond length. In the second Cu2+ site, Cu2+ is bonded to four O2- atoms to form CuO4 tetrahedra that share corners with three CuO6 octahedra and corners with nine AlO6 octahedra. The corner-sharing octahedra tilt angles range from 56–63°. There are a spread of Cu–O bond distances ranging from 1.94–1.97 Å. In the third Cu2+ site, Cu2+ is bonded to six O2- atoms to form CuO6 octahedra that share corners with three CuO4 tetrahedra, corners with three AlO4 tetrahedra, and edges with six AlO6 octahedra. There are a spread of Cu–O bond distances ranging from 1.99–2.11 Å. In the fourth Cu2+ site, Cu2+ is bonded to four O2- atoms to form CuO4 tetrahedra that share corners with three CuO6 octahedra and corners with nine AlO6 octahedra. The corner-sharing octahedra tilt angles range from 56–63°. There is three shorter (1.94 Å) and one longer (1.97 Å) Cu–O bond length. In the fifth Cu2+ site, Cu2+ is bonded to six O2- atoms to form CuO6 octahedra that share corners with three CuO4 tetrahedra, corners with three AlO4 tetrahedra, and edges with six AlO6 octahedra. There are a spread of Cu–O bond distances ranging from 1.99–2.11 Å. In the sixth Cu2+ site, Cu2+ is bonded to four O2- atoms to form CuO4 tetrahedra that share corners with three CuO6 octahedra and corners with nine AlO6 octahedra. The corner-sharing octahedra tilt angles range from 56–62°. There is three shorter (1.95 Å) and one longer (1.98 Å) Cu–O bond length. In the seventh Cu2+ site, Cu2+ is bonded to six O2- atoms to form CuO6 octahedra that share corners with three CuO4 tetrahedra, corners with three AlO4 tetrahedra, and edges with six AlO6 octahedra. There are a spread of Cu–O bond distances ranging from 1.98–2.11 Å. In the eighth Cu2+ site, Cu2+ is bonded to four O2- atoms to form CuO4 tetrahedra that share corners with two equivalent CuO6 octahedra and corners with ten AlO6 octahedra. The corner-sharing octahedra tilt angles range from 56–63°. There are a spread of Cu–O bond distances ranging from 1.94–1.97 Å. In the ninth Cu2+ site, Cu2+ is bonded to six O2- atoms to form CuO6 octahedra that share corners with two equivalent AlO4 tetrahedra, corners with four CuO4 tetrahedra, and edges with six AlO6 octahedra. There are a spread of Cu–O bond distances ranging from 1.96–2.14 Å. In the tenth Cu2+ site, Cu2+ is bonded to four O2- atoms to form CuO4 tetrahedra that share a cornercorner with one CuO6 octahedra and corners with eleven AlO6 octahedra. The corner-sharing octahedra tilt angles range from 59–67°. There are a spread of Cu–O bond distances ranging from 2.00–2.03 Å. There are fifteen inequivalent Al3+ sites. In the first Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with two equivalent CuO6 octahedra and corners with ten AlO6 octahedra. The corner-sharing octahedra tilt angles range from 55–63°. There are a spread of Al–O bond distances ranging from 1.81–1.89 Å. In the second Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with three CuO4 tetrahedra, corners with three AlO4 tetrahedra, edges with two equivalent CuO6 octahedra, and edges with four AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.89–2.00 Å. In the third Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with three CuO6 octahedra and corners with nine AlO6 octahedra. The corner-sharing octahedra tilt angles range from 56–62°. There is three shorter (1.84 Å) and one longer (1.90 Å) Al–O bond length. In the fourth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with three equivalent CuO4 tetrahedra, corners with three equivalent AlO4 tetrahedra, an edgeedge with one CuO6 octahedra, and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.88–2.02 Å. In the fifth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with three CuO4 tetrahedra, corners with three AlO4 tetrahedra, edges with two equivalent CuO6 octahedra, and edges with four AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.88–2.02 Å. In the sixth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with three equivalent CuO4 tetrahedra, corners with three equivalent AlO4 tetrahedra, edges with two CuO6 octahedra, and edges with four AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.89–2.02 Å. In the seventh Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with three CuO6 octahedra and corners with nine AlO6 octahedra. The corner-sharing octahedra tilt angles range from 56–62°. There is three shorter (1.84 Å) and one longer (1.89 Å) Al–O bond length. In the eighth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with three CuO4 tetrahedra, corners with three AlO4 tetrahedra, edges with two equivalent CuO6 octahedra, and edges with four AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.88–2.03 Å. In the ninth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with three equivalent CuO4 tetrahedra, corners with three equivalent AlO4 tetrahedra, edges with two CuO6 octahedra, and edges with four AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.89–2.01 Å. In the tenth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with three CuO6 octahedra and corners with nine AlO6 octahedra. The corner-sharing octahedra tilt angles range from 54–63°. There are a spread of Al–O bond distances ranging from 1.83–1.86 Å. In the eleventh Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with two equivalent AlO4 tetrahedra, corners with four CuO4 tetrahedra, edges with two equivalent CuO6 octahedra, and edges with four AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.87–2.06 Å. In the twelfth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with three equivalent CuO4 tetrahedra, corners with three equivalent AlO4 tetrahedra, edges with two CuO6 octahedra, and edges with four AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.90–2.00 Å. In the thirteenth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share a cornercorner with one AlO4 tetrahedra, corners with five CuO4 tetrahedra, and edges with six AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.90–2.02 Å. In the fourteenth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six CuO4 tetrahedra, an edgeedge with one CuO6 octahedra, and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.91–1.94 Å. In the fifteenth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share a cornercorner with one AlO4 tetrahedra, corners with five CuO4 tetrahedra, and edges with six AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.89–2.03 Å. There are thirty inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Cu2+ and three Al3+ atoms. In the second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Cu2+ and three Al3+ atoms. In the third O2- site, O2- is bonded in a distorted trigonal pyramidal geometry to one Cu2+ and three Al3+ atoms. In the fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Cu2+ and three Al3+ atoms. In the fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Al3+ atoms. In the sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Cu2+ and three Al3+ atoms. In the seventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Cu2+ and two Al3+ atoms. In the eighth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Cu2+ and two equivalent Al3+ atoms. In the ninth O2- site, O2- is bonded in a distorted trigonal pyramidal geometry to one Cu2+ and three Al3+ atoms. In the tenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Al3+ atoms. In the eleventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Cu2+ and three Al3+ atoms. In the twelfth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Cu2+ and two Al3+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Cu2+ and two equivalent Al3+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Cu2+ and three Al3+ atoms. In the fifteenth O2- site, O2- is bonded in a distorted trigonal pyramidal geometry to one Cu2+ and three Al3+ atoms. In the sixteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Cu2+ and three Al3+ atoms. In the seventeenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Al3+ atoms. In the eighteenth O2- site, O2- is bonded to two Cu2+ and two equivalent Al3+ atoms to form distorted corner-sharing OAl2Cu2 tetrahedra. In the nineteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Cu2+ and two Al3+ atoms. In the twentieth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Cu2+ and two equivalent Al3+ atoms. In the twenty-first O2- site, O2- is bonded to one Cu2+ and three Al3+ atoms to form distorted corner-sharing OAl3Cu trigonal pyramids. In the twenty-second O2- site, O2- is bonded to one Cu2+ and three Al3+ atoms to form a mixture of distorted edge and corner-sharing OAl3Cu tetrahedra. In the twenty-third O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Al3+ atoms. In the twenty-fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Cu2+ and two Al3+ atoms. In the twenty-fifth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Al3+ atoms. In the twenty-sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Cu2+ and two equivalent Al3+ atoms. In the twenty-seventh O2- site, O2- is bonded to one Cu2+ and three Al3+ atoms to form a mixture of distorted edge and corner-sharing OAl3Cu trigonal pyramids. In the twenty-eighth O2- site, O2- is bonded to one Cu2+ and three Al3+ atoms to form a mixture of distorted edge and corner-sharing OAl3Cu tetrahedra. In the twenty-ninth O2- site, O2- is bonded to one Cu2+ and three Al3+ atoms to form a mixture of distorted edge and corner-sharing OAl3Cu tetrahedra. In the thirtieth O2- site, O2- is bonded to one Cu2+ and three Al3+ atoms to form a mixture of distorted edge and corner-sharing OAl3Cu trigonal pyramids.

36 MATERIALS SCIENCE↗

Materials Data on Mn2CuO4 by Materials Project

CuMn2O4 is Spinel-like structured and crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are fifteen inequivalent Mn3+ sites. In the first Mn3+ site, Mn3+ is bonded to four O2- atoms to form MnO4 tetrahedra that share corners with three CuO6 octahedra and corners with nine MnO6 octahedra. The corner-sharing octahedra tilt angles range from 58–62°. There are one shorter (2.02 Å) and three longer (2.04 Å) Mn–O bond lengths. In the second Mn3+ site, Mn3+ is bonded to four O2- atoms to form MnO4 tetrahedra that share corners with three CuO6 octahedra and corners with nine MnO6 octahedra. The corner-sharing octahedra tilt angles range from 58–62°. There are one shorter (2.01 Å) and three longer (2.03 Å) Mn–O bond lengths. In the third Mn3+ site, Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with three MnO4 tetrahedra, corners with three CuO4 tetrahedra, edges with two equivalent CuO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.98–2.06 Å. In the fourth Mn3+ site, Mn3+ is bonded to four O2- atoms to form MnO4 tetrahedra that share corners with three CuO6 octahedra and corners with nine MnO6 octahedra. The corner-sharing octahedra tilt angles range from 58–61°. There are one shorter (2.01 Å) and three longer (2.03 Å) Mn–O bond lengths. In the fifth Mn3+ site, Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with three equivalent MnO4 tetrahedra, corners with three equivalent CuO4 tetrahedra, edges with two CuO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.98–2.10 Å. In the sixth Mn3+ site, Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with three MnO4 tetrahedra, corners with three CuO4 tetrahedra, edges with two equivalent CuO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.98–2.05 Å. In the seventh Mn3+ site, Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with three equivalent MnO4 tetrahedra, corners with three equivalent CuO4 tetrahedra, edges with two CuO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.98–2.10 Å. In the eighth Mn3+ site, Mn3+ is bonded to four O2- atoms to form MnO4 tetrahedra that share corners with two equivalent CuO6 octahedra and corners with ten MnO6 octahedra. The corner-sharing octahedra tilt angles range from 57–63°. There are a spread of Mn–O bond distances ranging from 2.00–2.04 Å. In the ninth Mn3+ site, Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with three MnO4 tetrahedra, corners with three CuO4 tetrahedra, edges with two equivalent CuO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.98–2.05 Å. In the tenth Mn3+ site, Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with three equivalent MnO4 tetrahedra, corners with three equivalent CuO4 tetrahedra, edges with two CuO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.98–2.10 Å. In the eleventh Mn3+ site, Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share a cornercorner with one MnO4 tetrahedra, corners with five CuO4 tetrahedra, and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 2.01–2.09 Å. In the twelfth Mn3+ site, Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with three equivalent MnO4 tetrahedra, corners with three equivalent CuO4 tetrahedra, an edgeedge with one CuO6 octahedra, and edges with five MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.98–2.12 Å. In the thirteenth Mn3+ site, Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share a cornercorner with one MnO4 tetrahedra, corners with five CuO4 tetrahedra, and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 2.00–2.07 Å. In the fourteenth Mn3+ site, Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent MnO4 tetrahedra, corners with four CuO4 tetrahedra, edges with two equivalent CuO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.99–2.04 Å. In the fifteenth Mn3+ site, Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six CuO4 tetrahedra, an edgeedge with one CuO6 octahedra, and edges with five MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.98–2.10 Å. There are ten inequivalent Cu2+ sites. In the first Cu2+ site, Cu2+ is bonded to four O2- atoms to form CuO4 tetrahedra that share corners with three CuO6 octahedra and corners with nine MnO6 octahedra. The corner-sharing octahedra tilt angles range from 57–61°. There are a spread of Cu–O bond distances ranging from 1.96–2.03 Å. In the second Cu2+ site, Cu2+ is bonded to four O2- atoms to form CuO4 tetrahedra that share corners with three CuO6 octahedra and corners with nine MnO6 octahedra. The corner-sharing octahedra tilt angles range from 57–62°. There are a spread of Cu–O bond distances ranging from 1.96–2.03 Å. In the third Cu2+ site, Cu2+ is bonded to six O2- atoms to form CuO6 octahedra that share corners with three MnO4 tetrahedra, corners with three CuO4 tetrahedra, and edges with six MnO6 octahedra. There are a spread of Cu–O bond distances ranging from 2.07–2.11 Å. In the fourth Cu2+ site, Cu2+ is bonded to four O2- atoms to form CuO4 tetrahedra that share corners with three CuO6 octahedra and corners with nine MnO6 octahedra. The corner-sharing octahedra tilt angles range from 57–62°. There are a spread of Cu–O bond distances ranging from 1.96–2.03 Å. In the fifth Cu2+ site, Cu2+ is bonded to six O2- atoms to form CuO6 octahedra that share corners with three MnO4 tetrahedra, corners with three CuO4 tetrahedra, and edges with six MnO6 octahedra. There are four shorter (2.07 Å) and two longer (2.11 Å) Cu–O bond lengths. In the sixth Cu2+ site, Cu2+ is bonded to four O2- atoms to form CuO4 tetrahedra that share a cornercorner with one CuO6 octahedra and corners with eleven MnO6 octahedra. The corner-sharing octahedra tilt angles range from 57–62°. There are a spread of Cu–O bond distances ranging from 2.00–2.03 Å. In the seventh Cu2+ site, Cu2+ is bonded to four O2- atoms to form CuO4 tetrahedra that share a cornercorner with one CuO6 octahedra and corners with eleven MnO6 octahedra. The corner-sharing octahedra tilt angles range from 58–62°. There are a spread of Cu–O bond distances ranging from 1.98–2.02 Å. In the eighth Cu2+ site, Cu2+ is bonded to six O2- atoms to form CuO6 octahedra that share corners with three MnO4 tetrahedra, corners with three CuO4 tetrahedra, and edges with six MnO6 octahedra. There are a spread of Cu–O bond distances ranging from 2.08–2.10 Å. In the ninth Cu2+ site, Cu2+ is bonded to four O2- atoms to form CuO4 tetrahedra that share corners with two equivalent CuO6 octahedra and corners with ten MnO6 octahedra. The corner-sharing octahedra tilt angles range from 57–62°. There are a spread of Cu–O bond distances ranging from 1.97–2.01 Å. In the tenth Cu2+ site, Cu2+ is bonded to six O2- atoms to form CuO6 octahedra that share corners with two equivalent MnO4 tetrahedra, corners with four CuO4 tetrahedra, and edges with six MnO6 octahedra. There are four shorter (2.08 Å) and two longer (2.10 Å) Cu–O bond lengths. There are thirty inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Mn3+ and one Cu2+ atom. In the second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Mn3+ and two Cu2+ atoms. In the third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two equivalent Mn3+ and two Cu2+ atoms. In the fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Mn3+ and one Cu2+ atom. In the fifth O2- site, O2- is bonded to three Mn3+ and one Cu2+ atom to form a mixture of distorted edge and corner-sharing OMn3Cu trigonal pyramids. In the sixth O2- site, O2- is bonded to three Mn3+ and one Cu2+ atom to form a mixture of distorted edge and corner-sharing OMn3Cu trigonal pyramids. In the seventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two equivalent Mn3+ and two Cu2+ atoms. In the eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Mn3+ and two Cu2+ atoms. In the ninth O2- site, O2- is bonded to four Mn3+ atoms to form a mixture of distorted edge and corner-sharing OMn4 trigonal pyramids. In the tenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Mn3+ and one Cu2+ atom. In the eleventh O2- site, O2- is bonded to three Mn3+ and one Cu2+ atom to form a mixture of distorted edge and corner-sharing OMn3Cu trigonal pyramids. In the twelfth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two equivalent Mn3+ and two Cu2+ atoms. In the thirteenth O2- site, O2- is bonded to three Mn3+ and one Cu2+ atom to form a mixture of distorted edge and corner-sharing OMn3Cu trigonal pyramids. In the fourteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Mn3+ and two Cu2+ atoms. In the fifteenth O2- site, O2- is bonded to four Mn3+ atoms to form a mixture of distorted edge and corner-sharing OMn4 trigonal pyramids. In the sixteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Mn3+ and one Cu2+ atom. In the seventeenth O2- site, O2- is bonded to three Mn3+ and one Cu2+ atom to form a mixture of distorted edge and corner-sharing OMn3Cu trigonal pyramids. In the eighteenth O2- site, O2- is bonded to three Mn3+ and one Cu2+ atom to form a mixture of distorted edge and corner-sharing OMn3Cu trigonal pyramids. In the nineteenth O2- site, O2- is bonded to three Mn3+ and one Cu2+ atom to form a mixture of distorted edge and corner-sharing OMn3Cu trigonal pyramids. In the twentieth O2- site, O2- is bonded to three Mn3+ and one Cu2+ atom to form a mixture of distorted edge and corner-sharing OMn3Cu trigonal pyramids. In the twenty-first O2- site, O2- is bonded to four Mn3+ atoms to form a mixture of distorted edge and corner-sharing OMn4 trigonal pyramids. In the twenty-second O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Mn3+ and one Cu2+ atom. In the twenty-third O2- site, O2- is bonded to three Mn3+ and one Cu2+ atom to form a mixture of distorted edge and corner-sharing OMn3Cu trigonal pyramids. In the twenty-fourth O2- site, O2- is bonded to four Mn3+ atoms to form a mixture of distorted edge and corner-sharing OMn4 trigonal pyramids. In the twenty-fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Mn3+ and two Cu2+ atoms. In the twenty-sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two equivalent Mn3+ and two Cu2+ atoms. In the twenty-seventh O2- site, O2- is bonded to three Mn3+ and one Cu2+ atom to form a mixture of distorted edge and corner-sharing OMn3Cu trigonal pyramids. In the twenty-eighth O2- site, O2- is bonded to three Mn3+ and one Cu2+ atom to form a mixture of distorted edge and corner-sharing OMn3Cu trigonal pyramids. In the twenty-ninth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two equivalent Mn3+ and two Cu2+ atoms. In the thirtieth O2- site, O2- is bonded to four Mn3+ atoms to form a mixture of distorted edge and corner-sharing OMn4 trigonal pyramids.

36 MATERIALS SCIENCE↗

Materials Data on Na5Ti16O32 by Materials Project

Na5Ti16O32 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are five inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Na–O bond distances ranging from 2.19–2.49 Å. In the second Na1+ site, Na1+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Na–O bond distances ranging from 2.25–2.48 Å. In the third Na1+ site, Na1+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Na–O bond distances ranging from 2.24–2.50 Å. In the fourth Na1+ site, Na1+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Na–O bond distances ranging from 2.23–2.41 Å. In the fifth Na1+ site, Na1+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Na–O bond distances ranging from 2.24–2.42 Å. There are sixteen inequivalent Ti+3.69+ sites. In the first Ti+3.69+ site, Ti+3.69+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 29–53°. There are a spread of Ti–O bond distances ranging from 1.93–2.12 Å. In the second Ti+3.69+ site, Ti+3.69+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 23–51°. There are a spread of Ti–O bond distances ranging from 1.93–2.10 Å. In the third Ti+3.69+ site, Ti+3.69+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 20–53°. There are a spread of Ti–O bond distances ranging from 1.94–2.15 Å. In the fourth Ti+3.69+ site, Ti+3.69+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 27–52°. There are a spread of Ti–O bond distances ranging from 1.90–2.12 Å. In the fifth Ti+3.69+ site, Ti+3.69+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 29–52°. There are a spread of Ti–O bond distances ranging from 1.85–2.14 Å. In the sixth Ti+3.69+ site, Ti+3.69+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 23–53°. There are a spread of Ti–O bond distances ranging from 1.92–2.14 Å. In the seventh Ti+3.69+ site, Ti+3.69+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 27–53°. There are a spread of Ti–O bond distances ranging from 1.95–2.12 Å. In the eighth Ti+3.69+ site, Ti+3.69+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 20–52°. There are a spread of Ti–O bond distances ranging from 1.92–2.10 Å. In the ninth Ti+3.69+ site, Ti+3.69+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 22–54°. There are a spread of Ti–O bond distances ranging from 1.90–2.11 Å. In the tenth Ti+3.69+ site, Ti+3.69+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 23–53°. There are a spread of Ti–O bond distances ranging from 1.93–2.10 Å. In the eleventh Ti+3.69+ site, Ti+3.69+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 23–54°. There are a spread of Ti–O bond distances ranging from 1.90–2.10 Å. In the twelfth Ti+3.69+ site, Ti+3.69+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 29–52°. There are a spread of Ti–O bond distances ranging from 1.86–2.14 Å. In the thirteenth Ti+3.69+ site, Ti+3.69+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 22–52°. There are a spread of Ti–O bond distances ranging from 1.92–2.13 Å. In the fourteenth Ti+3.69+ site, Ti+3.69+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 23–52°. There are a spread of Ti–O bond distances ranging from 1.93–2.13 Å. In the fifteenth Ti+3.69+ site, Ti+3.69+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 29–52°. There are a spread of Ti–O bond distances ranging from 1.92–2.10 Å. In the sixteenth Ti+3.69+ site, Ti+3.69+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 23–51°. There are a spread of Ti–O bond distances ranging from 1.89–2.08 Å. There are thirty-two inequivalent O2- sites. In the first O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Ti+3.69+ atoms. In the second O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Ti+3.69+ atoms. In the third O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.69+ atoms. In the fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.69+ atoms. In the fifth O2- site, O2- is bonded to one Na1+ and three Ti+3.69+ atoms to form distorted corner-sharing ONaTi3 tetrahedra. In the sixth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti+3.69+ atoms. In the seventh O2- site, O2- is bonded in a distorted see-saw-like geometry to two Na1+ and two Ti+3.69+ atoms. In the eighth O2- site, O2- is bonded in a distorted see-saw-like geometry to two Na1+ and two Ti+3.69+ atoms. In the ninth O2- site, O2- is bonded in a distorted T-shaped geometry to one Na1+ and two Ti+3.69+ atoms. In the tenth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+ and two Ti+3.69+ atoms. In the eleventh O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti+3.69+ atoms. In the twelfth O2- site, O2- is bonded in a distorted tetrahedral geometry to one Na1+ and three Ti+3.69+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.69+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.69+ atoms. In the fifteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Ti+3.69+ atoms. In the sixteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Ti+3.69+ atoms. In the seventeenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Ti+3.69+ atoms. In the eighteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Ti+3.69+ atoms. In the nineteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.69+ atoms. In the twentieth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.69+ atoms. In the twenty-first O2- site, O2- is bonded in a trigonal non-coplanar geometry to three Ti+3.69+ atoms. In the twenty-second O2- site, O2- is bonded in a distorted tetrahedral geometry to one Na1+ and three Ti+3.69+ atoms. In the twenty-third O2- site, O2- is bonded in a distorted T-shaped geometry to one Na1+ and two Ti+3.69+ atoms. In the twenty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+ and two Ti+3.69+ atoms. In the twenty-fifth O2- site, O2- is bonded in a 5-coordinate geometry to three Na1+ and two Ti+3.69+ atoms. In the twenty-sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Na1+ and two Ti+3.69+ atoms. In the twenty-seventh O2- site, O2- is bonded to one Na1+ and three Ti+3.69+ atoms to form distorted ONaTi3 tetrahedra that share corners with two equivalent ONaTi3 tetrahedra and an edgeedge with one OTi4 trigonal pyramid. In the twenty-eighth O2- site, O2- is bonded to one Na1+ and three Ti+3.69+ atoms to form distorted ONaTi3 tetrahedra that share corners with two equivalent ONaTi3 tetrahedra and an edgeedge with one OTi4 trigonal pyramid. In the twenty-ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.69+ atoms. In the thirtieth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.69+ atoms. In the thirty-first O2- site, O2- is bonded to four Ti+3.69+ atoms to form a mixture of distorted edge and corner-sharing OTi4 trigonal pyramids. In the thirty-second O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Ti+3.69+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Li6Mn15O32 by Materials Project

Li6Mn15O32 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 to four O2- atoms to form LiO4 tetrahedra that share corners with seven MnO6 octahedra. The corner-sharing octahedra tilt angles range from 46–70°. There are a spread of Li–O bond distances ranging from 1.86–2.14 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with seven MnO6 octahedra. The corner-sharing octahedra tilt angles range from 45–69°. There are a spread of Li–O bond distances ranging from 1.85–2.11 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with eight MnO6 octahedra. The corner-sharing octahedra tilt angles range from 51–68°. There are a spread of Li–O bond distances ranging from 1.83–2.26 Å. In the fourth 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 46–75°. There are a spread of Li–O bond distances ranging from 1.81–2.21 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 47–74°. There are a spread of Li–O bond distances ranging from 1.81–2.21 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with eight MnO6 octahedra. The corner-sharing octahedra tilt angles range from 51–70°. There are a spread of Li–O bond distances ranging from 1.82–2.26 Å. There are fifteen inequivalent Mn+3.87+ sites. In the first Mn+3.87+ site, Mn+3.87+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Mn–O bond distances ranging from 1.63–2.23 Å. In the second Mn+3.87+ site, Mn+3.87+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with six LiO4 tetrahedra and edges with two equivalent MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.78–2.18 Å. In the third Mn+3.87+ site, Mn+3.87+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with six LiO4 tetrahedra and edges with two equivalent MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.71–2.21 Å. In the fourth Mn+3.87+ site, Mn+3.87+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with five LiO4 tetrahedra and edges with five MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.71–2.19 Å. In the fifth Mn+3.87+ site, Mn+3.87+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Mn–O bond distances ranging from 1.63–2.25 Å. In the sixth Mn+3.87+ site, Mn+3.87+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with two LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.74–2.20 Å. In the seventh Mn+3.87+ site, Mn+3.87+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with two LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.92–2.24 Å. In the eighth Mn+3.87+ site, Mn+3.87+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with five LiO4 tetrahedra and edges with five MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.70–2.25 Å. In the ninth Mn+3.87+ site, Mn+3.87+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with five LiO4 tetrahedra and edges with five MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.87–2.20 Å. In the tenth Mn+3.87+ site, Mn+3.87+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with three equivalent LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.70–2.21 Å. In the eleventh Mn+3.87+ site, Mn+3.87+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with three equivalent LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.69–2.23 Å. In the twelfth Mn+3.87+ site, Mn+3.87+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.69–2.16 Å. In the thirteenth Mn+3.87+ site, Mn+3.87+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with five LiO4 tetrahedra and edges with five MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.72–2.25 Å. In the fourteenth Mn+3.87+ site, Mn+3.87+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with five LiO4 tetrahedra and edges with five MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.92–2.22 Å. In the fifteenth Mn+3.87+ site, Mn+3.87+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with five LiO4 tetrahedra and edges with five MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.71–2.19 Å. There are thirty-two inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+ and two Mn+3.87+ atoms. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+ and two Mn+3.87+ atoms. In the third O2- site, O2- is bonded to one Li1+ and three Mn+3.87+ atoms to form distorted corner-sharing OLiMn3 tetrahedra. In the fourth O2- site, O2- is bonded to one Li1+ and three Mn+3.87+ atoms to form distorted corner-sharing OLiMn3 tetrahedra. In the fifth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+ and two Mn+3.87+ atoms. In the sixth O2- site, O2- is bonded to one Li1+ and three Mn+3.87+ atoms to form a mixture of distorted corner and edge-sharing OLiMn3 tetrahedra. In the seventh O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+ and two Mn+3.87+ atoms. In the eighth O2- site, O2- is bonded to one Li1+ and three Mn+3.87+ atoms to form distorted corner-sharing OLiMn3 tetrahedra. In the ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+ and two Mn+3.87+ atoms. In the tenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Mn+3.87+ atoms. In the eleventh O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+ and two Mn+3.87+ atoms. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+ and three Mn+3.87+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Mn+3.87+ atoms. In the fourteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Mn+3.87+ atoms. In the fifteenth O2- site, O2- is bonded in a 3-coordinate geometry to three Mn+3.87+ atoms. In the sixteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Mn+3.87+ atoms. In the seventeenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Mn+3.87+ atoms. In the eighteenth O2- site, O2- is bonded to one Li1+ and three Mn+3.87+ atoms to form a mixture of distorted corner and edge-sharing OLiMn3 tetrahedra. In the nineteenth O2- site, O2- is bonded in a 3-coordinate geometry to three Mn+3.87+ atoms. In the twentieth O2- site, O2- is bonded in a 3-coordinate geometry to three Mn+3.87+ atoms. In the twenty-first O2- site, O2- is bonded in a 3-coordinate geometry to three Mn+3.87+ atoms. In the twenty-second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Mn+3.87+ atoms. In the twenty-third O2- site, O2- is bonded in a 3-coordinate geometry to three Mn+3.87+ atoms. In the twenty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+ and three Mn+3.87+ atoms. In the twenty-fifth O2- site, O2- is bonded to one Li1+ and three Mn+3.87+ atoms to form a mixture of distorted corner and edge-sharing OLiMn3 tetrahedra. In the twenty-sixth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Mn+3.87+ atoms. In the twenty-seventh O2- site, O2- is bonded to one Li1+ and three Mn+3.87+ atoms to form a mixture of distorted corner and edge-sharing OLiMn3 tetrahedra. In the twenty-eighth O2- site, O2- is bonded in a 3-coordinate geometry to three Mn+3.87+ atoms. In the twenty-ninth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Mn+3.87+ atoms. In the thirtieth O2- site, O2- is bonded to one Li1+ and three Mn+3.87+ atoms to form distorted corner-sharing OLiMn3 tetrahedra. In the thirty-first O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Mn+3.87+ atoms. In the thirty-second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Mn+3.87+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on LiMn2(BO3)2 by Materials Project

LiMn2(BO3)2 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are five inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four MnO5 trigonal bipyramids and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.91–2.09 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four MnO5 trigonal bipyramids and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.90–2.08 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four MnO5 trigonal bipyramids and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.92–2.06 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four MnO5 trigonal bipyramids and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.91–2.09 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four MnO5 trigonal bipyramids and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.91–2.10 Å. There are ten inequivalent Mn+2.50+ sites. In the first Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with three LiO4 tetrahedra and edges with two equivalent MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.05–2.14 Å. In the second Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two equivalent MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.00–2.18 Å. In the third Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with three LiO4 tetrahedra and edges with two equivalent MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 1.95–2.12 Å. In the fourth Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two equivalent MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.05–2.24 Å. In the fifth Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two equivalent MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.08–2.23 Å. In the sixth Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with three LiO4 tetrahedra and edges with two equivalent MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.01–2.08 Å. In the seventh Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two equivalent MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.07–2.22 Å. In the eighth Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with three LiO4 tetrahedra and edges with two equivalent MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 1.96–2.12 Å. In the ninth Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two equivalent MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.03–2.16 Å. In the tenth Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with three LiO4 tetrahedra and edges with two equivalent MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 1.95–2.12 Å. There are ten inequivalent B3+ sites. In the first B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.35–1.42 Å. In the second B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.37–1.40 Å. In the third B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.38–1.40 Å. In the fourth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.35–1.41 Å. In the fifth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.34–1.43 Å. In the sixth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.36–1.42 Å. In the seventh B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.35–1.42 Å. In the eighth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.37–1.41 Å. In the ninth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.35–1.41 Å. In the tenth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.37–1.41 Å. There are thirty inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the third O2- site, O2- is bonded in a distorted tetrahedral geometry to one Li1+, two Mn+2.50+, and one B3+ atom. In the fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.50+ and one B3+ atom. In the fifth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.50+, and one B3+ atom. In the sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.50+ and one B3+ atom. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.50+, and one B3+ atom. In the eighth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Mn+2.50+ and one B3+ atom. In the ninth O2- site, O2- is bonded to one Li1+, two Mn+2.50+, and one B3+ atom to form distorted edge-sharing OLiMn2B tetrahedra. In the tenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the eleventh O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the twelfth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the thirteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Mn+2.50+ and one B3+ atom. In the fourteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Mn+2.50+ and one B3+ atom. In the fifteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.50+ and one B3+ atom. In the sixteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.50+ and one B3+ atom. In the seventeenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Mn+2.50+ and one B3+ atom. In the eighteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Mn+2.50+ and one B3+ atom. In the nineteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the twentieth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the twenty-first O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the twenty-second O2- site, O2- is bonded in a distorted tetrahedral geometry to one Li1+, two Mn+2.50+, and one B3+ atom. In the twenty-third O2- site, O2- is bonded to one Li1+, two Mn+2.50+, and one B3+ atom to form distorted edge-sharing OLiMn2B tetrahedra. In the twenty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.50+, and one B3+ atom. In the twenty-fifth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.50+, and one B3+ atom. In the twenty-sixth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.50+, and one B3+ atom. In the twenty-seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.50+ and one B3+ atom. In the twenty-eighth O2- site, O2- is bonded in a distorted tetrahedral geometry to one Li1+, two Mn+2.50+, and one B3+ atom. In the twenty-ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the thirtieth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.50+, and one B3+ atom.

36 MATERIALS SCIENCE↗

Materials Data on LiMn2(BO3)2 by Materials Project

LiMn2(BO3)2 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are five inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four MnO5 trigonal bipyramids and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.90–2.17 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four MnO5 trigonal bipyramids and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.90–2.15 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four MnO5 trigonal bipyramids and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.89–2.14 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four MnO5 trigonal bipyramids and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.92–2.13 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four MnO5 trigonal bipyramids and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.91–2.10 Å. There are ten inequivalent Mn+2.50+ sites. In the first Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with three LiO4 tetrahedra and edges with two equivalent MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.02–2.10 Å. In the second Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with three LiO4 tetrahedra and edges with two equivalent MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.01–2.09 Å. In the third Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two equivalent MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.00–2.19 Å. In the fourth Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two equivalent MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.03–2.18 Å. In the fifth Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two equivalent MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.08–2.22 Å. In the sixth Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with three LiO4 tetrahedra and edges with two equivalent MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.03–2.10 Å. In the seventh Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two equivalent MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.04–2.20 Å. In the eighth Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two equivalent MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.04–2.19 Å. In the ninth Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with three LiO4 tetrahedra and edges with two equivalent MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.02–2.10 Å. In the tenth Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with three LiO4 tetrahedra and edges with two equivalent MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 1.95–2.13 Å. There are ten inequivalent B3+ sites. In the first B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.36–1.41 Å. In the second B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.36–1.41 Å. In the third B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.37–1.42 Å. In the fourth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.35–1.41 Å. In the fifth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.34–1.42 Å. In the sixth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.36–1.41 Å. In the seventh B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.36–1.42 Å. In the eighth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.35–1.42 Å. In the ninth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.35–1.42 Å. In the tenth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.37–1.40 Å. There are thirty inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the third O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Mn+2.50+ and one B3+ atom. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.50+, and one B3+ atom. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.50+ and one B3+ atom. In the sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.50+ and one B3+ atom. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.50+, and one B3+ atom. In the eighth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Mn+2.50+ and one B3+ atom. In the ninth O2- site, O2- is bonded to one Li1+, two Mn+2.50+, and one B3+ atom to form distorted edge-sharing OLiMn2B tetrahedra. In the tenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the eleventh O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the twelfth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the thirteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Mn+2.50+ and one B3+ atom. In the fourteenth O2- site, O2- is bonded to one Li1+, two Mn+2.50+, and one B3+ atom to form distorted edge-sharing OLiMn2B tetrahedra. In the fifteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.50+ and one B3+ atom. In the sixteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.50+ and one B3+ atom. In the seventeenth O2- site, O2- is bonded to one Li1+, two Mn+2.50+, and one B3+ atom to form distorted edge-sharing OLiMn2B tetrahedra. In the eighteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Mn+2.50+ and one B3+ atom. In the nineteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the twentieth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the twenty-first O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the twenty-second O2- site, O2- is bonded in a distorted tetrahedral geometry to one Li1+, two Mn+2.50+, and one B3+ atom. In the twenty-third O2- site, O2- is bonded to one Li1+, two Mn+2.50+, and one B3+ atom to form distorted edge-sharing OLiMn2B tetrahedra. In the twenty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.50+, and one B3+ atom. In the twenty-fifth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.50+, and one B3+ atom. In the twenty-sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.50+ and one B3+ atom. In the twenty-seventh O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.50+, and one B3+ atom. In the twenty-eighth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Mn+2.50+ and one B3+ atom. In the twenty-ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the thirtieth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Mn+2.50+, and one B3+ atom.

36 MATERIALS SCIENCE↗