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Materials Data on Ti2ZnO4 by Materials Project

ZnTi2O4 is Spinel-like structured and crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are nine inequivalent Ti3+ sites. In the first Ti3+ site, Ti3+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two equivalent ZnO4 tetrahedra, corners with four TiO4 tetrahedra, edges with three TiO6 octahedra, and edges with three ZnO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.99–2.17 Å. In the second Ti3+ site, Ti3+ is bonded to four O2- atoms to form TiO4 tetrahedra that share corners with six TiO6 octahedra and corners with six ZnO6 octahedra. The corner-sharing octahedra tilt angles range from 50–59°. There are a spread of Ti–O bond distances ranging from 1.90–1.93 Å. In the third Ti3+ site, Ti3+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with three equivalent TiO4 tetrahedra, corners with three equivalent ZnO4 tetrahedra, edges with two ZnO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 2.06–2.18 Å. In the fourth Ti3+ site, Ti3+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six TiO4 tetrahedra, edges with two equivalent TiO6 octahedra, and edges with four ZnO6 octahedra. There are a spread of Ti–O bond distances ranging from 2.08–2.18 Å. In the fifth Ti3+ site, Ti3+ is bonded to four O2- atoms to form TiO4 tetrahedra that share corners with six TiO6 octahedra and corners with six ZnO6 octahedra. The corner-sharing octahedra tilt angles range from 54–58°. There are a spread of Ti–O bond distances ranging from 1.88–1.90 Å. In the sixth Ti3+ site, Ti3+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one ZnO4 tetrahedra, corners with five TiO4 tetrahedra, edges with three TiO6 octahedra, and edges with three ZnO6 octahedra. There are a spread of Ti–O bond distances ranging from 2.05–2.25 Å. In the seventh Ti3+ site, Ti3+ is bonded to four O2- atoms to form TiO4 tetrahedra that share corners with six TiO6 octahedra and corners with six ZnO6 octahedra. The corner-sharing octahedra tilt angles range from 51–60°. There are a spread of Ti–O bond distances ranging from 1.89–1.92 Å. In the eighth Ti3+ site, Ti3+ is bonded to four O2- atoms to form TiO4 tetrahedra that share corners with six TiO6 octahedra and corners with six ZnO6 octahedra. The corner-sharing octahedra tilt angles range from 51–59°. There is three shorter (1.90 Å) and one longer (1.92 Å) Ti–O bond length. In the ninth Ti3+ site, Ti3+ is bonded to four O2- atoms to form TiO4 tetrahedra that share corners with three ZnO6 octahedra and corners with nine TiO6 octahedra. The corner-sharing octahedra tilt angles range from 49–59°. There is two shorter (1.88 Å) and two longer (1.89 Å) Ti–O bond length. There are six inequivalent Zn2+ sites. In the first Zn2+ site, Zn2+ is bonded to four O2- atoms to form ZnO4 tetrahedra that share corners with three ZnO6 octahedra and corners with nine TiO6 octahedra. The corner-sharing octahedra tilt angles range from 53–63°. There is two shorter (1.99 Å) and two longer (2.00 Å) Zn–O bond length. In the second Zn2+ site, Zn2+ is bonded to six O2- atoms to form ZnO6 octahedra that share corners with six TiO4 tetrahedra, edges with two ZnO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Zn–O bond distances ranging from 2.11–2.21 Å. In the third Zn2+ site, Zn2+ is bonded to six O2- atoms to form ZnO6 octahedra that share corners with two equivalent ZnO4 tetrahedra, corners with four TiO4 tetrahedra, an edgeedge with one ZnO6 octahedra, and edges with five TiO6 octahedra. There are a spread of Zn–O bond distances ranging from 2.09–2.27 Å. In the fourth Zn2+ site, Zn2+ is bonded to six O2- atoms to form ZnO6 octahedra that share corners with six TiO4 tetrahedra, edges with two ZnO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Zn–O bond distances ranging from 2.11–2.30 Å. In the fifth Zn2+ site, Zn2+ is bonded to six O2- atoms to form ZnO6 octahedra that share corners with six TiO4 tetrahedra, edges with two ZnO6 octahedra, and edges with four equivalent TiO6 octahedra. There are a spread of Zn–O bond distances ranging from 2.09–2.25 Å. In the sixth Zn2+ site, Zn2+ is bonded to six O2- atoms to form ZnO6 octahedra that share a cornercorner with one ZnO4 tetrahedra, corners with five TiO4 tetrahedra, an edgeedge with one ZnO6 octahedra, and edges with five TiO6 octahedra. There are a spread of Zn–O bond distances ranging from 2.06–2.23 Å. There are eighteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Ti3+ and two Zn2+ atoms. In the second O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Ti3+ and one Zn2+ atom. In the third O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Ti3+ and one Zn2+ atom. In the fourth O2- site, O2- is bonded to two Ti3+ and two Zn2+ atoms to form a mixture of distorted edge and corner-sharing OTi2Zn2 trigonal pyramids. In the fifth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Ti3+ and one Zn2+ atom. In the sixth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Ti3+ and one Zn2+ atom. In the seventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Ti3+ and two Zn2+ atoms. In the eighth O2- site, O2- is bonded in a distorted trigonal pyramidal geometry to three Ti3+ and one Zn2+ atom. In the ninth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Ti3+ and one Zn2+ atom. In the tenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Ti3+ and two Zn2+ atoms. In the eleventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Ti3+ and one Zn2+ atom. In the twelfth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Ti3+ and two Zn2+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted tetrahedral geometry to two equivalent Ti3+ and two Zn2+ atoms. In the fourteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Ti3+ and one Zn2+ atom. In the fifteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Ti3+ and one Zn2+ atom. In the sixteenth O2- site, O2- is bonded in a 4-coordinate geometry to four Ti3+ atoms. In the seventeenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Ti3+ and one Zn2+ atom. In the eighteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Ti3+ and one Zn2+ atom.

36 MATERIALS SCIENCE↗

Materials Data on CaTi2O4 by Materials Project

CaTi2O4 is Spinel-like structured and crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are six inequivalent Ca2+ sites. In the first Ca2+ site, Ca2+ is bonded to four O2- atoms to form CaO4 tetrahedra that share corners with three CaO6 octahedra and corners with nine TiO6 octahedra. The corner-sharing octahedra tilt angles range from 56–73°. There are a spread of Ca–O bond distances ranging from 2.19–2.26 Å. In the second Ca2+ site, Ca2+ is bonded to six O2- atoms to form CaO6 octahedra that share corners with six TiO4 tetrahedra, edges with two CaO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.30–2.39 Å. In the third Ca2+ site, Ca2+ is bonded to six O2- atoms to form CaO6 octahedra that share corners with two equivalent CaO4 tetrahedra, corners with four TiO4 tetrahedra, an edgeedge with one CaO6 octahedra, and edges with five TiO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.23–2.33 Å. In the fourth Ca2+ site, Ca2+ is bonded to six O2- atoms to form CaO6 octahedra that share corners with six TiO4 tetrahedra, edges with two CaO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.30–2.41 Å. In the fifth Ca2+ site, Ca2+ is bonded to six O2- atoms to form CaO6 octahedra that share corners with six TiO4 tetrahedra, edges with two CaO6 octahedra, and edges with four equivalent TiO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.29–2.34 Å. In the sixth Ca2+ site, Ca2+ is bonded to six O2- atoms to form CaO6 octahedra that share a cornercorner with one CaO4 tetrahedra, corners with five TiO4 tetrahedra, an edgeedge with one CaO6 octahedra, and edges with five TiO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.25–2.33 Å. There are nine inequivalent Ti3+ sites. In the first Ti3+ site, Ti3+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two equivalent CaO4 tetrahedra, corners with four TiO4 tetrahedra, edges with three CaO6 octahedra, and edges with three TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.98–2.20 Å. In the second Ti3+ site, Ti3+ is bonded to four O2- atoms to form TiO4 tetrahedra that share corners with six CaO6 octahedra and corners with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 49–59°. There are a spread of Ti–O bond distances ranging from 1.86–1.95 Å. In the third Ti3+ site, Ti3+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with three equivalent CaO4 tetrahedra, corners with three equivalent TiO4 tetrahedra, edges with two CaO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 2.03–2.16 Å. In the fourth Ti3+ site, Ti3+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six TiO4 tetrahedra, edges with two equivalent TiO6 octahedra, and edges with four CaO6 octahedra. There are a spread of Ti–O bond distances ranging from 2.11–2.24 Å. In the fifth Ti3+ site, Ti3+ is bonded to four O2- atoms to form TiO4 tetrahedra that share corners with six CaO6 octahedra and corners with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 51–60°. There are a spread of Ti–O bond distances ranging from 1.84–1.94 Å. In the sixth Ti3+ site, Ti3+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one CaO4 tetrahedra, corners with five TiO4 tetrahedra, edges with three CaO6 octahedra, and edges with three TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 2.03–2.41 Å. In the seventh Ti3+ site, Ti3+ is bonded to four O2- atoms to form TiO4 tetrahedra that share corners with six CaO6 octahedra and corners with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–61°. There are a spread of Ti–O bond distances ranging from 1.87–1.98 Å. In the eighth Ti3+ site, Ti3+ is bonded to four O2- atoms to form TiO4 tetrahedra that share corners with six CaO6 octahedra and corners with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 48–60°. There is two shorter (1.86 Å) and two longer (1.96 Å) Ti–O bond length. In the ninth Ti3+ site, Ti3+ is bonded to four O2- atoms to form TiO4 tetrahedra that share corners with three CaO6 octahedra and corners with nine TiO6 octahedra. The corner-sharing octahedra tilt angles range from 45–59°. There is three shorter (1.89 Å) and one longer (1.95 Å) Ti–O bond length. There are eighteen inequivalent O2- sites. In the first O2- site, O2- is bonded to two Ca2+ and two Ti3+ atoms to form a mixture of distorted corner and edge-sharing OCa2Ti2 tetrahedra. In the second O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Ca2+ and three Ti3+ atoms. In the third O2- site, O2- is bonded to one Ca2+ and three Ti3+ atoms to form a mixture of distorted corner and edge-sharing OCaTi3 tetrahedra. In the fourth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Ca2+ and two Ti3+ atoms. In the fifth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Ca2+ and three Ti3+ atoms. In the sixth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Ca2+ and three Ti3+ atoms. In the seventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Ca2+ and two Ti3+ atoms. In the eighth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Ca2+ and three Ti3+ atoms. In the ninth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Ca2+ and three Ti3+ atoms. In the tenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Ca2+ and two Ti3+ atoms. In the eleventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Ca2+ and three Ti3+ atoms. In the twelfth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Ca2+ and two Ti3+ atoms. In the thirteenth O2- site, O2- is bonded to two Ca2+ and two equivalent Ti3+ atoms to form corner-sharing OCa2Ti2 tetrahedra. In the fourteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Ca2+ and three Ti3+ atoms. In the fifteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Ca2+ and three Ti3+ atoms. In the sixteenth O2- site, O2- is bonded in a 4-coordinate geometry to four Ti3+ atoms. In the seventeenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Ca2+ and three Ti3+ atoms. In the eighteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Ca2+ and three Ti3+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Ca(NiO2)2 by Materials Project

Ca(NiO2)2 is Spinel-like structured and crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are six inequivalent Ca2+ sites. In the first Ca2+ site, Ca2+ is bonded to four O2- atoms to form CaO4 tetrahedra that share corners with three CaO6 octahedra and corners with nine NiO6 octahedra. The corner-sharing octahedra tilt angles range from 55–75°. There are a spread of Ca–O bond distances ranging from 2.16–2.31 Å. In the second Ca2+ site, Ca2+ is bonded to six O2- atoms to form CaO6 octahedra that share corners with six NiO4 tetrahedra, edges with two CaO6 octahedra, and edges with four NiO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.26–2.33 Å. In the third Ca2+ site, Ca2+ is bonded to six O2- atoms to form CaO6 octahedra that share corners with two equivalent CaO4 tetrahedra, corners with four NiO4 tetrahedra, an edgeedge with one CaO6 octahedra, and edges with five NiO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.22–2.28 Å. In the fourth Ca2+ site, Ca2+ is bonded to six O2- atoms to form CaO6 octahedra that share corners with six NiO4 tetrahedra, edges with two CaO6 octahedra, and edges with four NiO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.24–2.31 Å. In the fifth Ca2+ site, Ca2+ is bonded to six O2- atoms to form CaO6 octahedra that share corners with six NiO4 tetrahedra, edges with two CaO6 octahedra, and edges with four equivalent NiO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.24–2.30 Å. In the sixth Ca2+ site, Ca2+ is bonded to six O2- atoms to form CaO6 octahedra that share a cornercorner with one CaO4 tetrahedra, corners with five NiO4 tetrahedra, an edgeedge with one CaO6 octahedra, and edges with five NiO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.25–2.27 Å. There are nine inequivalent Ni3+ sites. In the first Ni3+ site, Ni3+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with two equivalent CaO4 tetrahedra, corners with four NiO4 tetrahedra, edges with three CaO6 octahedra, and edges with three NiO6 octahedra. There are a spread of Ni–O bond distances ranging from 1.86–2.17 Å. In the second Ni3+ site, Ni3+ is bonded to four O2- atoms to form NiO4 tetrahedra that share corners with six CaO6 octahedra and corners with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 49–61°. There are a spread of Ni–O bond distances ranging from 1.87–1.96 Å. In the third Ni3+ site, Ni3+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with three equivalent CaO4 tetrahedra, corners with three equivalent NiO4 tetrahedra, edges with two CaO6 octahedra, and edges with four NiO6 octahedra. There are a spread of Ni–O bond distances ranging from 1.86–1.94 Å. In the fourth Ni3+ site, Ni3+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six NiO4 tetrahedra, edges with two equivalent NiO6 octahedra, and edges with four CaO6 octahedra. There are a spread of Ni–O bond distances ranging from 1.91–2.16 Å. In the fifth Ni3+ site, Ni3+ is bonded to four O2- atoms to form NiO4 tetrahedra that share corners with six CaO6 octahedra and corners with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 48–64°. There are a spread of Ni–O bond distances ranging from 1.85–1.92 Å. In the sixth Ni3+ site, Ni3+ is bonded to six O2- atoms to form NiO6 octahedra that share a cornercorner with one CaO4 tetrahedra, corners with five NiO4 tetrahedra, edges with three CaO6 octahedra, and edges with three NiO6 octahedra. There are a spread of Ni–O bond distances ranging from 1.92–2.32 Å. In the seventh Ni3+ site, Ni3+ is bonded to four O2- atoms to form NiO4 tetrahedra that share corners with six CaO6 octahedra and corners with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 50–67°. There are a spread of Ni–O bond distances ranging from 1.91–2.07 Å. In the eighth Ni3+ site, Ni3+ is bonded to four O2- atoms to form NiO4 tetrahedra that share corners with six CaO6 octahedra and corners with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 51–69°. There are a spread of Ni–O bond distances ranging from 1.91–2.09 Å. In the ninth Ni3+ site, Ni3+ is bonded to four O2- atoms to form NiO4 tetrahedra that share corners with three CaO6 octahedra and corners with nine NiO6 octahedra. The corner-sharing octahedra tilt angles range from 45–66°. There are a spread of Ni–O bond distances ranging from 1.95–2.19 Å. There are eighteen inequivalent O2- sites. In the first O2- site, O2- is bonded to two Ca2+ and two Ni3+ atoms to form distorted OCa2Ni2 tetrahedra that share corners with two OCa2Ni2 tetrahedra, corners with three OCaNi3 trigonal pyramids, an edgeedge with one OCa2Ni2 tetrahedra, and an edgeedge with one OCaNi3 trigonal pyramid. In the second O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Ca2+ and three Ni3+ atoms. In the third O2- site, O2- is bonded to one Ca2+ and three Ni3+ atoms to form distorted OCaNi3 trigonal pyramids that share corners with three OCa2Ni2 tetrahedra, corners with two equivalent OCaNi3 trigonal pyramids, and edges with two equivalent OCa2Ni2 tetrahedra. In the fourth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Ca2+ and two Ni3+ atoms. In the fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Ca2+ and three Ni3+ atoms. In the sixth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Ca2+ and three Ni3+ atoms. In the seventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Ca2+ and two Ni3+ atoms. In the eighth O2- site, O2- is bonded to one Ca2+ and three Ni3+ atoms to form distorted OCaNi3 trigonal pyramids that share corners with four equivalent OCa2Ni2 tetrahedra and corners with two equivalent OCaNi3 trigonal pyramids. In the ninth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Ca2+ and three Ni3+ atoms. In the tenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Ca2+ and two Ni3+ atoms. In the eleventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Ca2+ and three Ni3+ atoms. In the twelfth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Ca2+ and two Ni3+ atoms. In the thirteenth O2- site, O2- is bonded to two Ca2+ and two equivalent Ni3+ atoms to form distorted OCa2Ni2 tetrahedra that share corners with two equivalent OCa2Ni2 tetrahedra and a cornercorner with one OCaNi3 trigonal pyramid. In the fourteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Ca2+ and three Ni3+ atoms. In the fifteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Ca2+ and three Ni3+ atoms. In the sixteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Ni3+ atoms. In the seventeenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Ca2+ and three Ni3+ atoms. In the eighteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Ca2+ and three Ni3+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Sr6Ca2Co5Cu3O20 by Materials Project

Sr6Ca2Co5Cu3O20 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twenty-four inequivalent Sr2+ sites. In the first Sr2+ site, Sr2+ is bonded in a 1-coordinate geometry to four O2- atoms. There are a spread of Sr–O bond distances ranging from 1.86–2.71 Å. In the second Sr2+ site, Sr2+ is bonded in a 2-coordinate geometry to four O2- atoms. There are a spread of Sr–O bond distances ranging from 1.89–2.83 Å. In the third Sr2+ site, Sr2+ is bonded in a 1-coordinate geometry to four O2- atoms. There are a spread of Sr–O bond distances ranging from 1.84–2.92 Å. In the fourth Sr2+ site, Sr2+ is bonded in a 2-coordinate geometry to four O2- atoms. There are a spread of Sr–O bond distances ranging from 1.91–2.63 Å. In the fifth Sr2+ site, Sr2+ is bonded in a distorted single-bond geometry to four O2- atoms. There are a spread of Sr–O bond distances ranging from 1.84–2.74 Å. In the sixth Sr2+ site, Sr2+ is bonded in a 1-coordinate geometry to four O2- atoms. There are a spread of Sr–O bond distances ranging from 1.94–2.85 Å. In the seventh Sr2+ site, Sr2+ is bonded in a distorted single-bond geometry to five O2- atoms. There are a spread of Sr–O bond distances ranging from 1.84–2.92 Å. In the eighth Sr2+ site, Sr2+ is bonded in a distorted single-bond geometry to four O2- atoms. There are a spread of Sr–O bond distances ranging from 1.85–2.69 Å. In the ninth Sr2+ site, Sr2+ is bonded in a 1-coordinate geometry to five O2- atoms. There are a spread of Sr–O bond distances ranging from 2.00–2.77 Å. In the tenth Sr2+ site, Sr2+ is bonded in a 1-coordinate geometry to three O2- atoms. There are a spread of Sr–O bond distances ranging from 1.86–2.69 Å. In the eleventh Sr2+ site, Sr2+ is bonded in a 1-coordinate geometry to four O2- atoms. There are a spread of Sr–O bond distances ranging from 1.91–2.80 Å. In the twelfth Sr2+ site, Sr2+ is bonded in a distorted trigonal non-coplanar geometry to three O2- atoms. There are a spread of Sr–O bond distances ranging from 1.67–2.32 Å. In the thirteenth Sr2+ site, Sr2+ is bonded in a 1-coordinate geometry to three O2- atoms. There are a spread of Sr–O bond distances ranging from 1.74–2.39 Å. In the fourteenth Sr2+ site, Sr2+ is bonded in a 1-coordinate geometry to four O2- atoms. There are a spread of Sr–O bond distances ranging from 1.76–3.00 Å. In the fifteenth Sr2+ site, Sr2+ is bonded in a 1-coordinate geometry to four O2- atoms. There are a spread of Sr–O bond distances ranging from 1.71–3.17 Å. In the sixteenth Sr2+ site, Sr2+ is bonded in a 1-coordinate geometry to three O2- atoms. There are a spread of Sr–O bond distances ranging from 1.69–2.49 Å. In the seventeenth Sr2+ site, Sr2+ is bonded in a 1-coordinate geometry to three O2- atoms. There are a spread of Sr–O bond distances ranging from 1.75–2.46 Å. In the eighteenth Sr2+ site, Sr2+ is bonded in a 1-coordinate geometry to three O2- atoms. There are a spread of Sr–O bond distances ranging from 1.75–2.49 Å. In the nineteenth Sr2+ site, Sr2+ is bonded in a 1-coordinate geometry to four O2- atoms. There are a spread of Sr–O bond distances ranging from 1.71–2.92 Å. In the twentieth Sr2+ site, Sr2+ is bonded in a 1-coordinate geometry to four O2- atoms. There are a spread of Sr–O bond distances ranging from 1.74–3.08 Å. In the twenty-first Sr2+ site, Sr2+ is bonded in a 1-coordinate geometry to four O2- atoms. There are a spread of Sr–O bond distances ranging from 1.75–2.90 Å. In the twenty-second Sr2+ site, Sr2+ is bonded in a 1-coordinate geometry to three O2- atoms. There are a spread of Sr–O bond distances ranging from 1.79–2.53 Å. In the twenty-third Sr2+ site, Sr2+ is bonded in a 1-coordinate geometry to four O2- atoms. There are a spread of Sr–O bond distances ranging from 1.74–2.90 Å. In the twenty-fourth Sr2+ site, Sr2+ is bonded in a 1-coordinate geometry to three O2- atoms. There are a spread of Sr–O bond distances ranging from 1.73–2.45 Å. There are eight inequivalent Ca2+ sites. In the first Ca2+ site, Ca2+ is bonded in a 1-coordinate geometry to four O2- atoms. There are a spread of Ca–O bond distances ranging from 1.77–2.88 Å. In the second Ca2+ site, Ca2+ is bonded in a 1-coordinate geometry to four O2- atoms. There are a spread of Ca–O bond distances ranging from 1.74–2.68 Å. In the third Ca2+ site, Ca2+ is bonded in a 1-coordinate geometry to three O2- atoms. There are a spread of Ca–O bond distances ranging from 1.77–2.34 Å. In the fourth Ca2+ site, Ca2+ is bonded in a 1-coordinate geometry to three O2- atoms. There are a spread of Ca–O bond distances ranging from 1.78–2.29 Å. In the fifth Ca2+ site, Ca2+ is bonded in a 1-coordinate geometry to four O2- atoms. There are a spread of Ca–O bond distances ranging from 1.82–2.80 Å. In the sixth Ca2+ site, Ca2+ is bonded in a distorted trigonal non-coplanar geometry to three O2- atoms. There are a spread of Ca–O bond distances ranging from 1.61–2.28 Å. In the seventh Ca2+ site, Ca2+ is bonded in a distorted trigonal non-coplanar geometry to three O2- atoms. There are a spread of Ca–O bond distances ranging from 1.60–2.26 Å. In the eighth Ca2+ site, Ca2+ is bonded in a 2-coordinate geometry to four O2- atoms. There are a spread of Ca–O bond distances ranging from 1.68–2.93 Å. There are twenty inequivalent Co+3.60+ sites. In the first Co+3.60+ site, Co+3.60+ is bonded in a square co-planar geometry to four O2- atoms. There are a spread of Co–O bond distances ranging from 1.84–1.90 Å. In the second Co+3.60+ site, Co+3.60+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Co–O bond distances ranging from 1.94–2.01 Å. In the third Co+3.60+ site, Co+3.60+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Co–O bond distances ranging from 1.82–1.90 Å. In the fourth Co+3.60+ site, Co+3.60+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Co–O bond distances ranging from 1.83–1.96 Å. In the fifth Co+3.60+ site, Co+3.60+ is bonded in a square co-planar geometry to four O2- atoms. There are a spread of Co–O bond distances ranging from 1.90–1.97 Å. In the sixth Co+3.60+ site, Co+3.60+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Co–O bond distances ranging from 1.88–1.94 Å. In the seventh Co+3.60+ site, Co+3.60+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Co–O bond distances ranging from 1.84–1.96 Å. In the eighth Co+3.60+ site, Co+3.60+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Co–O bond distances ranging from 1.94–2.00 Å. In the ninth Co+3.60+ site, Co+3.60+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Co–O bond distances ranging from 1.98–2.11 Å. In the tenth Co+3.60+ site, Co+3.60+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Co–O bond distances ranging from 1.78–2.10 Å. In the eleventh Co+3.60+ site, Co+3.60+ is bonded in a distorted square co-planar geometry to four O2- atoms. There are a spread of Co–O bond distances ranging from 1.88–2.12 Å. In the twelfth Co+3.60+ site, Co+3.60+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Co–O bond distances ranging from 1.81–2.02 Å. In the thirteenth Co+3.60+ site, Co+3.60+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Co–O bond distances ranging from 1.91–2.09 Å. In the fourteenth Co+3.60+ site, Co+3.60+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Co–O bond distances ranging from 1.89–2.00 Å. In the fifteenth Co+3.60+ site, Co+3.60+ is bonded in a distorted square co-planar geometry to four O2- atoms. There are a spread of Co–O bond distances ranging from 1.93–2.06 Å. In the sixteenth Co+3.60+ site, Co+3.60+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Co–O bond distances ranging from 1.76–2.11 Å. In the seventeenth Co+3.60+ site, Co+3.60+ is bonded in a 3-coordinate geometry to three O2- atoms. There are a spread of Co–O bond distances ranging from 1.89–1.94 Å. In the eighteenth Co+3.60+ site, Co+3.60+ is bonded in a 3-coordinate geometry to three O2- atoms. There are a spread of Co–O bond distances ranging from 1.86–2.02 Å. In the nineteenth Co+3.60+ site, Co+3.60+ is bonded in a 3-coordinate geometry to three O2- atoms. There is one shorter (1.80 Å) and two longer (1.95 Å) Co–O bond length. In the twentieth Co+3.60+ site, Co+3.60+ is bonded in a 2-coordinate geometry to three O2- atoms. There are a spread of Co–O bond distances ranging from 1.84–2.35 Å. There are twelve inequivalent Cu2+ sites. In the first Cu2+ site, Cu2+ is bonded in a 2-coordinate geometry to three O2- atoms. There are a spread of Cu–O bond distances ranging from 1.89–2.27 Å. In the second Cu2+ site, Cu2+ is bonded in a 2-coordinate geometry to four O2- atoms. There are a spread of Cu–O bond distances ranging from 1.78–2.88 Å. In the third Cu2+ site, Cu2+ is bonded in a 3-coordinate geometry to three O2- atoms. There are a spread of Cu–O bond distances ranging from 1.89–2.14 Å. In the fourth Cu2+ site, Cu2+ is bonded in a 2-coordinate geometry to four O2- atoms. There are a spread of Cu–O bond distances ranging from 1.90–2.87 Å. In the fifth Cu2+ site, Cu2+ is bonded in a 2-coordinate geometry to three O2- atoms. There are a spread of Cu–O bond distances ranging from 1.84–2.28 Å. In the sixth Cu2+ site, Cu2+ is bonded in a distorted water-like geometry to two O2- atoms. There is one shorter (1.82 Å) and one longer (1.91 Å) Cu–O bond length. In the seventh Cu2+ site, Cu2+ is bonded in a distorted water-like geometry to three O2- atoms. There are a spread of Cu–O bond distances ranging from 1.90–2.69 Å. In the eighth Cu2+ site, Cu2+ is bonded in a distorted water-like geometry to four O2- atoms. There are a spread of Cu–O bond distances ranging from 1.86–2.72 Å. In the ninth Cu2+ site, Cu2+ is bonded in a distorted water-like geometry to four O2- atoms. There are a spread of Cu–O bond distances ranging from 1.83–2.72 Å. In the tenth Cu2+ site, Cu2+ is bonded in a 2-coordinate geometry to five O2- atoms. There are a spread of Cu–O bond distances ranging from 1.89–2.73 Å. In the eleventh Cu2+ site, Cu2+ is bonded in a distorted L-shaped geometry to two O2- atoms. There is one shorter (1.81 Å) and one longer (1.88 Å) Cu–O bond length. In the twelfth Cu2+ site, Cu2+ is bonded in a 2-coordinate geometry to three O2- atoms. There are a spread of Cu–O bond distances ranging from 1.87–2.63 Å. There are eighty inequivalent O2- sites. In the first O2- site, O2- is bonded in a linear geometry to two Co+3.60+ atoms. In the second O2- site, O2- is bonded in a distorted linear geometry to two Co+3.60+ and one O2- atom. The O–O bond length is 2.02 Å. In the third O2- site, O2- is bonded in a distorted linear geometry to two Co+3.60+ and one O2- atom. The O–O bond length is 2.23 Å. In the fourth O2- site, O2- is bonded in a distorted linear geometry to two Co+3.60+ and one O2- atom. The O–O bond length is 1.97 Å. In the fifth O2- site, O2- is bonded in a linear geometry to two Co+3.60+ atoms. In the sixth O2- site, O2- is bonded in a linear geometry to two Co+3.60+ and one O2- atom. The O–O bond length is 2.07 Å. In the seventh O2- site, O2- is bonded in a linear geometry to two Co+3.60+ atoms. In the eighth O2- site, O2- is bonded in a distorted linear geometry to two Co+3.60+ and one O2- atom. The O–O bond length is 2.05 Å. In the ninth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Sr2+ and two Co+3.60+ atoms. In the tenth O2- site, O2- is bonded in a distorted square co-planar geometry to two Sr2+ and two Co+3.60+ atoms. In the eleventh O2- site, O2- is bonded in a distorted rectangular see-saw-like

36 MATERIALS SCIENCE↗

Materials Data on LiMn6O12 by Materials Project

LiMn6O12 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are three 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 MnO6 octahedra and edges with six MnO6 octahedra. The corner-sharing octahedra tilt angles range from 12–21°. There are a spread of Li–O bond distances ranging from 2.03–2.33 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with six MnO6 octahedra and edges with six MnO6 octahedra. The corner-sharing octahedra tilt angles range from 13–20°. There are a spread of Li–O bond distances ranging from 2.03–2.23 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with six MnO6 octahedra and edges with six MnO6 octahedra. The corner-sharing octahedra tilt angles range from 14–22°. There are a spread of Li–O bond distances ranging from 2.04–2.40 Å. There are eighteen inequivalent Mn+3.83+ sites. In the first Mn+3.83+ site, Mn+3.83+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two LiO6 octahedra, an edgeedge with one LiO6 octahedra, and edges with six MnO6 octahedra. The corner-sharing octahedra tilt angles range from 19–21°. There are a spread of Mn–O bond distances ranging from 1.94–2.19 Å. In the second Mn+3.83+ site, Mn+3.83+ is bonded to six O2- atoms to form MnO6 octahedra that share an edgeedge with one LiO6 octahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.92–1.97 Å. In the third Mn+3.83+ site, Mn+3.83+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two LiO6 octahedra, an edgeedge with one LiO6 octahedra, and edges with six MnO6 octahedra. The corner-sharing octahedra tilt angles range from 19–22°. There are a spread of Mn–O bond distances ranging from 1.96–2.21 Å. In the fourth Mn+3.83+ site, Mn+3.83+ is bonded to six O2- atoms to form MnO6 octahedra that share an edgeedge with one LiO6 octahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.90–1.99 Å. In the fifth Mn+3.83+ site, Mn+3.83+ is bonded to six O2- atoms to form MnO6 octahedra that share a cornercorner with one LiO6 octahedra, an edgeedge with one LiO6 octahedra, and edges with six MnO6 octahedra. The corner-sharing octahedral tilt angles are 14°. There are a spread of Mn–O bond distances ranging from 1.92–1.96 Å. In the sixth Mn+3.83+ site, Mn+3.83+ is bonded to six O2- atoms to form MnO6 octahedra that share a cornercorner with one LiO6 octahedra, an edgeedge with one LiO6 octahedra, and edges with six MnO6 octahedra. The corner-sharing octahedral tilt angles are 14°. There are a spread of Mn–O bond distances ranging from 1.91–1.98 Å. In the seventh Mn+3.83+ site, Mn+3.83+ is bonded to six O2- atoms to form MnO6 octahedra that share a cornercorner with one LiO6 octahedra, an edgeedge with one LiO6 octahedra, and edges with six MnO6 octahedra. The corner-sharing octahedral tilt angles are 15°. There are a spread of Mn–O bond distances ranging from 1.90–1.98 Å. In the eighth Mn+3.83+ site, Mn+3.83+ is bonded to six O2- atoms to form MnO6 octahedra that share an edgeedge with one LiO6 octahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.91–1.98 Å. In the ninth Mn+3.83+ site, Mn+3.83+ is bonded to six O2- atoms to form MnO6 octahedra that share a cornercorner with one LiO6 octahedra, an edgeedge with one LiO6 octahedra, and edges with six MnO6 octahedra. The corner-sharing octahedral tilt angles are 14°. There are a spread of Mn–O bond distances ranging from 1.90–1.96 Å. In the tenth Mn+3.83+ site, Mn+3.83+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two LiO6 octahedra, an edgeedge with one LiO6 octahedra, and edges with six MnO6 octahedra. The corner-sharing octahedra tilt angles range from 14–20°. There are a spread of Mn–O bond distances ranging from 1.96–2.18 Å. In the eleventh Mn+3.83+ site, Mn+3.83+ is bonded to six O2- atoms to form MnO6 octahedra that share a cornercorner with one LiO6 octahedra, an edgeedge with one LiO6 octahedra, and edges with six MnO6 octahedra. The corner-sharing octahedral tilt angles are 12°. There are a spread of Mn–O bond distances ranging from 1.92–1.97 Å. In the twelfth Mn+3.83+ site, Mn+3.83+ is bonded to six O2- atoms to form MnO6 octahedra that share an edgeedge with one LiO6 octahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.90–1.98 Å. In the thirteenth Mn+3.83+ site, Mn+3.83+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two LiO6 octahedra, an edgeedge with one LiO6 octahedra, and edges with six MnO6 octahedra. The corner-sharing octahedra tilt angles range from 14–15°. There are a spread of Mn–O bond distances ranging from 1.91–1.97 Å. In the fourteenth Mn+3.83+ site, Mn+3.83+ is bonded to six O2- atoms to form MnO6 octahedra that share a cornercorner with one LiO6 octahedra, an edgeedge with one LiO6 octahedra, and edges with six MnO6 octahedra. The corner-sharing octahedral tilt angles are 17°. There are a spread of Mn–O bond distances ranging from 1.89–1.99 Å. In the fifteenth Mn+3.83+ site, Mn+3.83+ is bonded to six O2- atoms to form MnO6 octahedra that share a cornercorner with one LiO6 octahedra, an edgeedge with one LiO6 octahedra, and edges with six MnO6 octahedra. The corner-sharing octahedral tilt angles are 13°. There are a spread of Mn–O bond distances ranging from 1.93–1.95 Å. In the sixteenth Mn+3.83+ site, Mn+3.83+ is bonded to six O2- atoms to form MnO6 octahedra that share a cornercorner with one LiO6 octahedra, an edgeedge with one LiO6 octahedra, and edges with six MnO6 octahedra. The corner-sharing octahedral tilt angles are 14°. There are a spread of Mn–O bond distances ranging from 1.91–1.97 Å. In the seventeenth Mn+3.83+ site, Mn+3.83+ is bonded to six O2- atoms to form MnO6 octahedra that share a cornercorner with one LiO6 octahedra, an edgeedge with one LiO6 octahedra, and edges with six MnO6 octahedra. The corner-sharing octahedral tilt angles are 15°. There are a spread of Mn–O bond distances ranging from 1.92–1.96 Å. In the eighteenth Mn+3.83+ site, Mn+3.83+ is bonded to six O2- atoms to form MnO6 octahedra that share a cornercorner with one LiO6 octahedra, an edgeedge with one LiO6 octahedra, and edges with six MnO6 octahedra. The corner-sharing octahedral tilt angles are 13°. There are a spread of Mn–O bond distances ranging from 1.89–2.01 Å. There are thirty-six inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Mn+3.83+ atoms. In the second O2- site, O2- is bonded to one Li1+ and three Mn+3.83+ atoms to form distorted corner-sharing OLiMn3 trigonal pyramids. In the third O2- site, O2- is bonded in a distorted T-shaped geometry to three Mn+3.83+ atoms. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to three Mn+3.83+ atoms. In the fifth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Mn+3.83+ atoms. In the sixth O2- site, O2- is bonded to one Li1+ and three Mn+3.83+ atoms to form corner-sharing OLiMn3 trigonal pyramids. In the seventh O2- site, O2- is bonded in a distorted T-shaped geometry to three Mn+3.83+ atoms. In the eighth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Mn+3.83+ atoms. In the ninth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Mn+3.83+ atoms. In the tenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Mn+3.83+ atoms. In the eleventh O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Mn+3.83+ atoms. In the twelfth O2- site, O2- is bonded in a distorted T-shaped geometry to three Mn+3.83+ atoms. In the thirteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Mn+3.83+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Mn+3.83+ atoms. In the fifteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Mn+3.83+ atoms. In the sixteenth O2- site, O2- is bonded in a see-saw-like geometry to one Li1+ and three Mn+3.83+ atoms. In the seventeenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Mn+3.83+ atoms. In the eighteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Mn+3.83+ atoms. In the nineteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Mn+3.83+ atoms. In the twentieth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Mn+3.83+ atoms. In the twenty-first O2- site, O2- is bonded in a 3-coordinate geometry to three Mn+3.83+ atoms. In the twenty-second O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Mn+3.83+ atoms. In the twenty-third O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Mn+3.83+ atoms. In the twenty-fourth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Mn+3.83+ atoms. In the twenty-fifth O2- site, O2- is bonded in a distorted T-shaped geometry to three Mn+3.83+ atoms. In the twenty-sixth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Mn+3.83+ atoms. In the twenty-seventh O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Mn+3.83+ atoms. In the twenty-eighth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Mn+3.83+ atoms. In the twenty-ninth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Mn+3.83+ atoms. In the thirtieth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Mn+3.83+ atoms. In the thirty-first O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Mn+3.83+ atoms. In the thirty-second O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Mn+3.83+ atoms. In the thirty-third O2- site, O2- is bonded to one Li1+ and three Mn+3.83+ atoms to form distorted corner-sharing OLiMn3 trigonal pyramids. In the thirty-fourth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Mn+3.83+ atoms. In the thirty-fifth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Mn+3.83+ atoms. In the thirty-sixth O2- site, O2- is bonded in a 3-coordinate geometry to three Mn+3.83+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Li3Zn2Fe19O32 by Materials Project

Li3Fe19Zn2O32 is Spinel-derived structured and crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are three inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one ZnO6 octahedra and corners with eleven FeO6 octahedra. The corner-sharing octahedra tilt angles range from 56–62°. There are three shorter (2.02 Å) and one longer (2.03 Å) Li–O bond lengths. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with twelve FeO6 octahedra. The corner-sharing octahedra tilt angles range from 57–58°. There are one shorter (1.99 Å) and three longer (2.01 Å) Li–O bond lengths. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with twelve FeO6 octahedra. The corner-sharing octahedra tilt angles range from 57–58°. There are a spread of Li–O bond distances ranging from 2.01–2.03 Å. There are fifteen inequivalent Fe3+ sites. In the first Fe3+ site, Fe3+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with four ZnO6 octahedra and corners with eight FeO6 octahedra. The corner-sharing octahedra tilt angles range from 56–60°. There is two shorter (1.94 Å) and two longer (1.95 Å) Fe–O bond length. In the second Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share a cornercorner with one LiO4 tetrahedra, corners with five FeO4 tetrahedra, edges with three FeO6 octahedra, and edges with three ZnO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.96–2.11 Å. In the third Fe3+ site, Fe3+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with five ZnO6 octahedra and corners with seven FeO6 octahedra. The corner-sharing octahedra tilt angles range from 54–58°. There are a spread of Fe–O bond distances ranging from 1.89–1.97 Å. In the fourth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with three equivalent LiO4 tetrahedra, corners with three equivalent FeO4 tetrahedra, an edgeedge with one ZnO6 octahedra, and edges with five FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.01–2.12 Å. In the fifth Fe3+ site, Fe3+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with two equivalent ZnO6 octahedra and corners with ten FeO6 octahedra. The corner-sharing octahedra tilt angles range from 57–59°. There are a spread of Fe–O bond distances ranging from 1.93–1.98 Å. In the sixth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with three LiO4 tetrahedra, corners with three FeO4 tetrahedra, and edges with six FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.01–2.12 Å. In the seventh Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with three LiO4 tetrahedra, corners with three FeO4 tetrahedra, and edges with six FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.00–2.12 Å. In the eighth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with three equivalent LiO4 tetrahedra, corners with three equivalent FeO4 tetrahedra, and edges with six FeO6 octahedra. There are three shorter (2.02 Å) and three longer (2.10 Å) Fe–O bond lengths. In the ninth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with three LiO4 tetrahedra, corners with three FeO4 tetrahedra, and edges with six FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.00–2.12 Å. In the tenth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with three LiO4 tetrahedra, corners with three FeO4 tetrahedra, and edges with six FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.01–2.11 Å. In the eleventh Fe3+ site, Fe3+ is bonded to four O2- atoms to form corner-sharing FeO4 tetrahedra. The corner-sharing octahedra tilt angles range from 58–59°. There is three shorter (1.95 Å) and one longer (1.96 Å) Fe–O bond length. In the twelfth Fe3+ site, Fe3+ is bonded to four O2- atoms to form corner-sharing FeO4 tetrahedra. The corner-sharing octahedra tilt angles range from 57–59°. There are a spread of Fe–O bond distances ranging from 1.94–1.96 Å. In the thirteenth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two equivalent LiO4 tetrahedra, corners with four FeO4 tetrahedra, an edgeedge with one ZnO6 octahedra, and edges with five FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.01–2.09 Å. In the fourteenth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two equivalent LiO4 tetrahedra, corners with four FeO4 tetrahedra, an edgeedge with one ZnO6 octahedra, and edges with five FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.01–2.09 Å. In the fifteenth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with three equivalent LiO4 tetrahedra, corners with three equivalent FeO4 tetrahedra, and edges with six FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.01–2.12 Å. There are two inequivalent Zn2+ sites. In the first Zn2+ site, Zn2+ is bonded to six O2- atoms to form ZnO6 octahedra that share a cornercorner with one LiO4 tetrahedra, corners with five FeO4 tetrahedra, an edgeedge with one ZnO6 octahedra, and edges with five FeO6 octahedra. There are a spread of Zn–O bond distances ranging from 2.05–2.15 Å. In the second Zn2+ site, Zn2+ is bonded to six O2- atoms to form ZnO6 octahedra that share corners with six FeO4 tetrahedra, an edgeedge with one ZnO6 octahedra, and edges with five FeO6 octahedra. There are a spread of Zn–O bond distances ranging from 2.09–2.15 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Fe3+ and two Zn2+ atoms. In the second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Fe3+ and one Zn2+ atom. In the third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two equivalent Fe3+, and one Zn2+ atom. In the fourth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe3+ and one Zn2+ atom. In the fifth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe3+ and one Zn2+ atom. In the sixth O2- site, O2- is bonded to four Fe3+ atoms to form a mixture of distorted edge and corner-sharing OFe4 trigonal pyramids. In the seventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Fe3+ atoms. In the eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Fe3+ atoms. In the ninth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Fe3+ atoms. In the tenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Fe3+ atoms. In the eleventh O2- site, O2- is bonded to four Fe3+ atoms to form distorted corner-sharing OFe4 trigonal pyramids. In the twelfth O2- site, O2- is bonded to four Fe3+ atoms to form a mixture of distorted edge and corner-sharing OFe4 trigonal pyramids. In the thirteenth O2- site, O2- is bonded to four Fe3+ atoms to form a mixture of distorted edge and corner-sharing OFe4 trigonal pyramids. In the fourteenth O2- site, O2- is bonded to four Fe3+ atoms to form a mixture of distorted edge and corner-sharing OFe4 trigonal pyramids. In the fifteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Fe3+ atoms. In the sixteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Fe3+ atoms. In the seventeenth O2- site, O2- is bonded to four Fe3+ atoms to form distorted corner-sharing OFe4 trigonal pyramids. In the eighteenth O2- site, O2- is bonded to four Fe3+ atoms to form a mixture of distorted edge and corner-sharing OFe4 trigonal pyramids. In the nineteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe3+ and one Zn2+ atom. In the twentieth O2- site, O2- is bonded to four Fe3+ atoms to form a mixture of distorted edge and corner-sharing OFe4 trigonal pyramids. In the twenty-first O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe3+ and one Zn2+ atom. In the twenty-second O2- site, O2- is bonded to one Li1+ and three Fe3+ atoms to form distorted OLiFe3 trigonal pyramids that share corners with seven OFe4 trigonal pyramids and edges with two OLiFe3 trigonal pyramids. In the twenty-third O2- site, O2- is bonded to one Li1+ and three Fe3+ atoms to form distorted OLiFe3 trigonal pyramids that share corners with seven OFe4 trigonal pyramids and edges with two equivalent OLiFe3 trigonal pyramids. In the twenty-fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Fe3+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Al2O3 by Materials Project

Al2O3 is beta indium sulfide-like structured and crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are twenty-six inequivalent Al3+ sites. In the first Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with four AlO4 tetrahedra and edges with six AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.85–1.97 Å. In the second Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with three equivalent AlO4 tetrahedra and edges with six AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.82–2.08 Å. In the third Al3+ site, Al3+ is bonded to four O2- atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 49–59°. There are a spread of Al–O bond distances ranging from 1.76–1.83 Å. In the fourth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with four AlO4 tetrahedra and edges with six AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.84–1.99 Å. In the fifth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six AlO4 tetrahedra and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.82–2.03 Å. In the sixth Al3+ site, Al3+ is bonded to four O2- atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 55–61°. There is one shorter (1.74 Å) and three longer (1.87 Å) Al–O bond length. In the seventh Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six AlO4 tetrahedra and edges with four AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.91–1.96 Å. In the eighth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six AlO4 tetrahedra and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.86–1.96 Å. In the ninth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six AlO4 tetrahedra and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.82–2.02 Å. In the tenth Al3+ site, Al3+ is bonded to four O2- atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 55–60°. There is one shorter (1.77 Å) and three longer (1.85 Å) Al–O bond length. In the eleventh Al3+ site, Al3+ is bonded to four O2- atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–59°. There are a spread of Al–O bond distances ranging from 1.76–1.83 Å. In the twelfth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six AlO4 tetrahedra and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.85–2.00 Å. In the thirteenth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six AlO4 tetrahedra and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.85–1.97 Å. In the fourteenth Al3+ site, Al3+ is bonded to four O2- atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 49–59°. There are a spread of Al–O bond distances ranging from 1.76–1.87 Å. In the fifteenth Al3+ site, Al3+ is bonded to four O2- atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 50–58°. There are a spread of Al–O bond distances ranging from 1.76–1.85 Å. In the sixteenth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six AlO4 tetrahedra and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.84–2.02 Å. In the seventeenth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six AlO4 tetrahedra and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.83–2.00 Å. In the eighteenth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six AlO4 tetrahedra and edges with four AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.90–1.98 Å. In the nineteenth Al3+ site, Al3+ is bonded to four O2- atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–62°. There is one shorter (1.74 Å) and three longer (1.84 Å) Al–O bond length. In the twentieth Al3+ site, Al3+ is bonded to four O2- atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 54–59°. There is three shorter (1.76 Å) and one longer (1.86 Å) Al–O bond length. In the twenty-first Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six AlO4 tetrahedra and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.81–2.06 Å. In the twenty-second Al3+ site, Al3+ is bonded to four O2- atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 56–60°. There are a spread of Al–O bond distances ranging from 1.76–1.87 Å. In the twenty-third Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with five AlO4 tetrahedra and edges with six AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.80–2.01 Å. In the twenty-fourth Al3+ site, Al3+ is bonded to four O2- atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 49–59°. There are a spread of Al–O bond distances ranging from 1.76–1.90 Å. In the twenty-fifth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with five AlO4 tetrahedra and edges with six AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.81–1.96 Å. In the twenty-sixth Al3+ site, Al3+ is bonded to four O2- atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 56–64°. There are a spread of Al–O bond distances ranging from 1.77–1.86 Å. There are thirty-six inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted T-shaped geometry to three Al3+ atoms. In the second O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Al3+ atoms. In the third O2- site, O2- is bonded in a distorted T-shaped geometry to three Al3+ atoms. In the fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Al3+ atoms. In the fifth O2- site, O2- is bonded to four Al3+ atoms to form distorted edge-sharing OAl4 trigonal pyramids. In the sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Al3+ atoms. In the seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to three Al3+ atoms. In the eighth O2- site, O2- is bonded to four Al3+ atoms to form distorted edge-sharing OAl4 trigonal pyramids. In the ninth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four 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 rectangular see-saw-like geometry to four Al3+ atoms. In the twelfth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Al3+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Al3+ atoms. In the fourteenth O2- site, O2- is bonded to four Al3+ atoms to form distorted edge-sharing OAl4 trigonal pyramids. In the fifteenth O2- site, O2- is bonded to four Al3+ atoms to form distorted edge-sharing OAl4 trigonal pyramids. In the sixteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Al3+ atoms. In the seventeenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Al3+ atoms. In the eighteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Al3+ atoms. In the nineteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Al3+ atoms. In the twentieth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Al3+ atoms. In the twenty-first O2- site, O2- is bonded in a distorted trigonal planar geometry to three Al3+ atoms. In the twenty-second O2- site, O2- is bonded in a distorted trigonal planar geometry to three Al3+ atoms. In the twenty-third O2- site, O2- is bonded to four Al3+ atoms to form a mixture of distorted edge and corner-sharing OAl4 trigonal pyramids. In the twenty-fourth O2- site, O2- is bonded to four Al3+ atoms to form distorted edge-sharing OAl4 trigonal pyramids. In the twenty-fifth O2- site, O2- is bonded to four Al3+ atoms to form a mixture of distorted edge and corner-sharing OAl4 trigonal pyramids. In the twenty-sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Al3+ atoms. In the twenty-seventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Al3+ atoms. In the twenty-eighth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Al3+ atoms. In the twenty-ninth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Al3+ atoms. In the thirtieth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Al3+ atoms. In the thirty-first O2- site, O2- is bonded in a trigonal non-coplanar geometry to three Al3+ atoms. In the thirty-second O2- site, O2- is bonded in a distorted trigonal planar geometry to three Al3+ atoms. In the thirty-third O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Al3+ atoms. In the thirty-fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Al3+ atoms. In the thirty-fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Al3+ atoms. In the thirty-sixth O2- site, O2- is bonded in a distorted trigonal pyramidal geometry to four Al3+ 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 eight inequivalent Cu2+ sites. In the first Cu2+ site, Cu2+ is bonded to four O2- atoms to form CuO4 tetrahedra that share corners with three equivalent CuO6 octahedra and corners with nine AlO6 octahedra. The corner-sharing octahedra tilt angles range from 56–64°. There are a spread of Cu–O bond distances ranging from 1.95–1.97 Å. In the second Cu2+ site, Cu2+ is bonded to six O2- atoms to form CuO6 octahedra that share corners with three equivalent CuO4 tetrahedra, corners with three equivalent AlO4 tetrahedra, and edges with six AlO6 octahedra. There are a spread of Cu–O bond distances ranging from 1.99–2.10 Å. In the third Cu2+ site, Cu2+ is bonded to four O2- atoms to form CuO4 tetrahedra that share corners with three equivalent CuO6 octahedra and corners with nine AlO6 octahedra. The corner-sharing octahedra tilt angles range from 57–64°. There are a spread of Cu–O bond distances ranging from 1.95–1.99 Å. In the fourth Cu2+ site, Cu2+ is bonded to six O2- atoms to form CuO6 octahedra that share corners with three equivalent CuO4 tetrahedra, corners with three equivalent AlO4 tetrahedra, and edges with six AlO6 octahedra. There are a spread of Cu–O bond distances ranging from 2.00–2.12 Å. In the fifth 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 1.95–2.15 Å. 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 AlO6 octahedra. The corner-sharing octahedra tilt angles range from 58–65°. There are a spread of Cu–O bond distances ranging from 1.98–2.02 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 AlO6 octahedra. The corner-sharing octahedra tilt angles range from 57–62°. There is one shorter (1.97 Å) and three longer (2.00 Å) Cu–O bond length. 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 55–63°. There are a spread of Cu–O bond distances ranging from 1.95–2.04 Å. There are twelve inequivalent Al3+ sites. In the first 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 CuO6 octahedra, and edges with four equivalent AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.89–2.00 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 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 third Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with two AlO4 tetrahedra, corners with four 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 1.87–2.04 Å. In the fourth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with two AlO4 tetrahedra, corners with four 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 1.87–2.05 Å. In the fifth 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 53–63°. There are a spread of Al–O bond distances ranging from 1.80–1.85 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, an edgeedge with one CuO6 octahedra, and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.90–1.99 Å. In the seventh 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 1.87–2.05 Å. In the eighth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with three equivalent CuO6 octahedra and corners with nine AlO6 octahedra. The corner-sharing octahedra tilt angles range from 54–62°. There is two shorter (1.83 Å) and two longer (1.84 Å) Al–O bond length. In the ninth 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, an edgeedge with one CuO6 octahedra, and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.89–1.98 Å. In the tenth 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, an edgeedge with one CuO6 octahedra, and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.88–1.99 Å. In the eleventh 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 is five shorter (1.92 Å) and one longer (1.95 Å) Al–O bond length. In the twelfth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with three equivalent CuO6 octahedra and corners with nine AlO6 octahedra. The corner-sharing octahedra tilt angles range from 54–61°. There are a spread of Al–O bond distances ranging from 1.81–1.89 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Cu2+ and two Al3+ atoms. In the second O2- site, O2- is bonded to one Cu2+ and three Al3+ atoms to form distorted corner-sharing OAl3Cu trigonal pyramids. In the third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Cu2+ and two equivalent 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 to two Cu2+ and two Al3+ atoms to form distorted OAl2Cu2 trigonal pyramids that share corners with four OAl3Cu tetrahedra, corners with three OAl3Cu trigonal pyramids, and edges with two OAl2Cu2 trigonal pyramids. 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 four Al3+ atoms. In the eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Al3+ atoms. In the ninth O2- site, O2- is bonded to two Cu2+ and two equivalent Al3+ atoms to form distorted OAl2Cu2 trigonal pyramids that share corners with four OAl3Cu tetrahedra, corners with three OAl3Cu trigonal pyramids, and edges with two equivalent OAl2Cu2 trigonal pyramids. In the tenth O2- site, O2- is bonded to one Cu2+ and three Al3+ atoms to form distorted OAl3Cu tetrahedra that share corners with two equivalent OAl3Cu tetrahedra, corners with four OAl2Cu2 trigonal pyramids, and edges with two equivalent OAl3Cu tetrahedra. 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 to one Cu2+ and three Al3+ atoms to form distorted OAl3Cu tetrahedra that share corners with two OAl3Cu tetrahedra, corners with four OAl2Cu2 trigonal pyramids, and edges with two OAl3Cu tetrahedra. In the thirteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Al3+ atoms. In the fourteenth O2- site, O2- is bonded to two Cu2+ and two equivalent Al3+ atoms to form distorted corner-sharing OAl2Cu2 tetrahedra. In the fifteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Al3+ atoms. In the sixteenth O2- site, O2- is bonded to one Cu2+ and three Al3+ atoms to form distorted OAl3Cu trigonal pyramids that share corners with three OAl2Cu2 tetrahedra, corners with three OAl3Cu trigonal pyramids, and edges with three OAl3Cu trigonal pyramids. In the seventeenth O2- site, O2- is bonded to one Cu2+ and three Al3+ atoms to form distorted OAl3Cu trigonal pyramids that share corners with three OAl2Cu2 tetrahedra and corners with three OAl3Cu trigonal pyramids. In the eighteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Cu2+ and two Al3+ atoms. In the nineteenth 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 twentieth O2- site, O2- is bonded in a 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 OAl3Cu trigonal pyramids that share corners with three OAl2Cu2 tetrahedra, corners with three OAl3Cu trigonal pyramids, and edges with three OAl3Cu trigonal pyramids. In the twenty-second O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Cu2+ and three Al3+ atoms. In the twenty-third O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Cu2+ and three Al3+ atoms. In the twenty-fourth O2- site, O2- is bonded to one Cu2+ and three Al3+ atoms to form corner-sharing OAl3Cu tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on Sr17(Ta5S21)2 by Materials Project

Sr17Ta10S42 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are seventeen inequivalent Sr2+ sites. In the first Sr2+ site, Sr2+ is bonded to seven S2- atoms to form distorted SrS7 pentagonal bipyramids that share a cornercorner with one TaS6 octahedra, corners with four SrS7 pentagonal bipyramids, corners with two TaS4 tetrahedra, an edgeedge with one SrS7 pentagonal bipyramid, an edgeedge with one TaS4 tetrahedra, and a faceface with one TaS6 octahedra. The corner-sharing octahedral tilt angles are 17°. There are a spread of Sr–S bond distances ranging from 3.01–3.17 Å. In the second Sr2+ site, Sr2+ is bonded in a 7-coordinate geometry to seven S2- atoms. There are a spread of Sr–S bond distances ranging from 3.01–3.31 Å. In the third Sr2+ site, Sr2+ is bonded to seven S2- atoms to form distorted SrS7 pentagonal bipyramids that share a cornercorner with one TaS6 octahedra, corners with four SrS7 pentagonal bipyramids, corners with two TaS4 tetrahedra, an edgeedge with one SrS7 pentagonal bipyramid, an edgeedge with one TaS4 tetrahedra, and a faceface with one TaS6 octahedra. The corner-sharing octahedral tilt angles are 15°. There are a spread of Sr–S bond distances ranging from 3.02–3.15 Å. In the fourth Sr2+ site, Sr2+ is bonded in a 7-coordinate geometry to seven S2- atoms. There are a spread of Sr–S bond distances ranging from 2.99–3.29 Å. In the fifth Sr2+ site, Sr2+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Sr–S bond distances ranging from 2.97–3.33 Å. In the sixth Sr2+ site, Sr2+ is bonded to seven S2- atoms to form distorted SrS7 pentagonal bipyramids that share a cornercorner with one TaS6 octahedra, corners with three SrS7 pentagonal bipyramids, corners with two TaS4 tetrahedra, an edgeedge with one TaS6 octahedra, edges with two SrS7 pentagonal bipyramids, and an edgeedge with one TaS4 tetrahedra. The corner-sharing octahedral tilt angles are 28°. There are a spread of Sr–S bond distances ranging from 3.03–3.14 Å. In the seventh Sr2+ site, Sr2+ is bonded to seven S2- atoms to form distorted SrS7 pentagonal bipyramids that share a cornercorner with one TaS6 octahedra, corners with four SrS7 pentagonal bipyramids, corners with two TaS4 tetrahedra, an edgeedge with one SrS7 pentagonal bipyramid, an edgeedge with one TaS4 tetrahedra, and a faceface with one TaS6 octahedra. The corner-sharing octahedral tilt angles are 16°. There are a spread of Sr–S bond distances ranging from 3.03–3.16 Å. In the eighth Sr2+ site, Sr2+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Sr–S bond distances ranging from 2.97–3.29 Å. In the ninth Sr2+ site, Sr2+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Sr–S bond distances ranging from 3.01–3.37 Å. In the tenth Sr2+ site, Sr2+ is bonded to seven S2- atoms to form distorted SrS7 pentagonal bipyramids that share a cornercorner with one TaS6 octahedra, corners with three SrS7 pentagonal bipyramids, corners with two TaS4 tetrahedra, an edgeedge with one TaS6 octahedra, edges with two SrS7 pentagonal bipyramids, and an edgeedge with one TaS4 tetrahedra. The corner-sharing octahedral tilt angles are 38°. There are a spread of Sr–S bond distances ranging from 3.04–3.19 Å. In the eleventh Sr2+ site, Sr2+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Sr–S bond distances ranging from 2.99–3.37 Å. In the twelfth Sr2+ site, Sr2+ is bonded to seven S2- atoms to form distorted SrS7 pentagonal bipyramids that share a cornercorner with one TaS6 octahedra, corners with four SrS7 pentagonal bipyramids, corners with two TaS4 tetrahedra, edges with two SrS7 pentagonal bipyramids, an edgeedge with one TaS4 tetrahedra, and a faceface with one TaS6 octahedra. The corner-sharing octahedral tilt angles are 23°. There are a spread of Sr–S bond distances ranging from 3.04–3.12 Å. In the thirteenth Sr2+ site, Sr2+ is bonded to seven S2- atoms to form distorted SrS7 pentagonal bipyramids that share a cornercorner with one TaS6 octahedra, corners with four SrS7 pentagonal bipyramids, corners with two TaS4 tetrahedra, an edgeedge with one SrS7 pentagonal bipyramid, an edgeedge with one TaS4 tetrahedra, and a faceface with one TaS6 octahedra. The corner-sharing octahedral tilt angles are 18°. There are a spread of Sr–S bond distances ranging from 3.00–3.16 Å. In the fourteenth Sr2+ site, Sr2+ is bonded to seven S2- atoms to form distorted SrS7 pentagonal bipyramids that share a cornercorner with one TaS6 octahedra, corners with four SrS7 pentagonal bipyramids, corners with two TaS4 tetrahedra, an edgeedge with one TaS6 octahedra, edges with two SrS7 pentagonal bipyramids, and an edgeedge with one TaS4 tetrahedra. The corner-sharing octahedral tilt angles are 37°. There are a spread of Sr–S bond distances ranging from 3.04–3.28 Å. In the fifteenth Sr2+ site, Sr2+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Sr–S bond distances ranging from 3.00–3.44 Å. In the sixteenth Sr2+ site, Sr2+ is bonded to seven S2- atoms to form distorted SrS7 pentagonal bipyramids that share a cornercorner with one TaS6 octahedra, corners with three SrS7 pentagonal bipyramids, corners with two TaS4 tetrahedra, an edgeedge with one TaS6 octahedra, edges with two SrS7 pentagonal bipyramids, and an edgeedge with one TaS4 tetrahedra. The corner-sharing octahedral tilt angles are 38°. There are a spread of Sr–S bond distances ranging from 2.99–3.27 Å. In the seventeenth Sr2+ site, Sr2+ is bonded to seven S2- atoms to form distorted SrS7 pentagonal bipyramids that share a cornercorner with one TaS6 octahedra, corners with three SrS7 pentagonal bipyramids, corners with two TaS4 tetrahedra, edges with two SrS7 pentagonal bipyramids, an edgeedge with one TaS4 tetrahedra, and a faceface with one TaS6 octahedra. The corner-sharing octahedral tilt angles are 17°. There are a spread of Sr–S bond distances ranging from 2.96–3.18 Å. There are ten inequivalent Ta5+ sites. In the first Ta5+ site, Ta5+ is bonded to four S2- atoms to form TaS4 tetrahedra that share corners with four SrS7 pentagonal bipyramids and edges with two SrS7 pentagonal bipyramids. There are a spread of Ta–S bond distances ranging from 2.26–2.31 Å. In the second Ta5+ site, Ta5+ is bonded to four S2- atoms to form TaS4 tetrahedra that share corners with three SrS7 pentagonal bipyramids and an edgeedge with one SrS7 pentagonal bipyramid. There are two shorter (2.28 Å) and two longer (2.29 Å) Ta–S bond lengths. In the third Ta5+ site, Ta5+ is bonded to six S2- atoms to form distorted TaS6 octahedra that share corners with three SrS7 pentagonal bipyramids, an edgeedge with one SrS7 pentagonal bipyramid, and a faceface with one TaS6 octahedra. There are a spread of Ta–S bond distances ranging from 2.29–2.85 Å. In the fourth Ta5+ site, Ta5+ is bonded to six S2- atoms to form TaS6 octahedra that share corners with three SrS7 pentagonal bipyramids, a faceface with one TaS6 octahedra, and faces with three SrS7 pentagonal bipyramids. There are a spread of Ta–S bond distances ranging from 2.36–2.64 Å. In the fifth Ta5+ site, Ta5+ is bonded to four S2- atoms to form TaS4 tetrahedra that share corners with three SrS7 pentagonal bipyramids and edges with two SrS7 pentagonal bipyramids. There are two shorter (2.28 Å) and two longer (2.29 Å) Ta–S bond lengths. In the sixth Ta5+ site, Ta5+ is bonded to four S2- atoms to form TaS4 tetrahedra that share corners with four SrS7 pentagonal bipyramids and an edgeedge with one SrS7 pentagonal bipyramid. There are two shorter (2.28 Å) and two longer (2.29 Å) Ta–S bond lengths. In the seventh Ta5+ site, Ta5+ is bonded to six S2- atoms to form TaS6 octahedra that share corners with three SrS7 pentagonal bipyramids, edges with three SrS7 pentagonal bipyramids, and a faceface with one TaS6 octahedra. There are three shorter (2.35 Å) and three longer (2.64 Å) Ta–S bond lengths. In the eighth Ta5+ site, Ta5+ is bonded to six S2- atoms to form TaS6 octahedra that share a cornercorner with one SrS7 pentagonal bipyramid, a faceface with one TaS6 octahedra, and faces with three SrS7 pentagonal bipyramids. There are a spread of Ta–S bond distances ranging from 2.36–2.63 Å. In the ninth Ta5+ site, Ta5+ is bonded to four S2- atoms to form TaS4 tetrahedra that share corners with three SrS7 pentagonal bipyramids and edges with two SrS7 pentagonal bipyramids. There are a spread of Ta–S bond distances ranging from 2.26–2.30 Å. In the tenth Ta5+ site, Ta5+ is bonded to four S2- atoms to form TaS4 tetrahedra that share corners with three SrS7 pentagonal bipyramids and edges with two SrS7 pentagonal bipyramids. There are one shorter (2.25 Å) and three longer (2.30 Å) Ta–S bond lengths. There are forty-two inequivalent S2- sites. In the first S2- site, S2- is bonded in a 5-coordinate geometry to four Sr2+ and one Ta5+ atom. In the second S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to three Sr2+ and one Ta5+ atom. In the third S2- site, S2- is bonded to three Sr2+ and one Ta5+ atom to form distorted corner-sharing SSr3Ta tetrahedra. In the fourth S2- site, S2- is bonded in a rectangular see-saw-like geometry to three Sr2+ and one Ta5+ atom. In the fifth S2- site, S2- is bonded to three Sr2+ and one Ta5+ atom to form distorted SSr3Ta tetrahedra that share corners with two SSr3Ta2 square pyramids and corners with two SSr3Ta trigonal pyramids. In the sixth S2- site, S2- is bonded in a 3-coordinate geometry to two Sr2+ and one Ta5+ atom. In the seventh S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to three Sr2+ and one Ta5+ atom. In the eighth S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to three Sr2+ and one Ta5+ atom. In the ninth S2- site, S2- is bonded in a rectangular see-saw-like geometry to two Sr2+ and two Ta5+ atoms. In the tenth S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to three Sr2+ and one Ta5+ atom. In the eleventh S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to three Sr2+ and one Ta5+ atom. In the twelfth S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to three Sr2+ and one Ta5+ atom. In the thirteenth S2- site, S2- is bonded in a rectangular see-saw-like geometry to two Sr2+ and two Ta5+ atoms. In the fourteenth S2- site, S2- is bonded in a distorted square co-planar geometry to three Sr2+ and one Ta5+ atom. In the fifteenth S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to three Sr2+ and one Ta5+ atom. In the sixteenth S2- site, S2- is bonded to three Sr2+ and one Ta5+ atom to form distorted SSr3Ta tetrahedra that share corners with two SSr3Ta2 square pyramids and a cornercorner with one SSr3Ta trigonal pyramid. In the seventeenth S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to three Sr2+ and one Ta5+ atom. In the eighteenth S2- site, S2- is bonded to three Sr2+ and two Ta5+ atoms to form distorted corner-sharing SSr3Ta2 square pyramids. In the nineteenth S2- site, S2- is bonded in a 5-coordinate geometry to four Sr2+ and one Ta5+ atom. In the twentieth S2- site, S2- is bonded to three Sr2+ and one Ta5+ atom to form distorted SSr3Ta trigonal pyramids that share a cornercorner with one SSr3Ta2 square pyramid, corners with three SSr3Ta tetrahedra, edges with two SSr3Ta2 square pyramids, and an edgeedge with one SSr3Ta trigonal pyramid. In the twenty-first S2- site, S2- is bonded to three Sr2+ and one Ta5+ atom to form distorted SSr3Ta tetrahedra that share corners with two SSr3Ta2 square pyramids and a cornercorner with one SSr3Ta trigonal pyramid. In the twenty-second S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to three Sr2+ and one Ta5+ atom. In the twenty-third S2- site, S2- is bonded in a distorted rectangular see-saw-

36 MATERIALS SCIENCE↗

Materials Data on Ti10Cu7S20 by Materials Project

Ti10Cu7S20 crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are ten inequivalent Ti+3.30+ sites. In the first Ti+3.30+ site, Ti+3.30+ is bonded to six S2- atoms to form TiS6 octahedra that share corners with six CuS4 trigonal pyramids, edges with six TiS6 octahedra, and a faceface with one CuS4 trigonal pyramid. There are a spread of Ti–S bond distances ranging from 2.40–2.52 Å. In the second Ti+3.30+ site, Ti+3.30+ is bonded to six S2- atoms to form TiS6 octahedra that share corners with five CuS4 trigonal pyramids and edges with six TiS6 octahedra. There are a spread of Ti–S bond distances ranging from 2.44–2.46 Å. In the third Ti+3.30+ site, Ti+3.30+ is bonded to six S2- atoms to form TiS6 octahedra that share corners with six CuS4 trigonal pyramids, edges with six TiS6 octahedra, and a faceface with one CuS4 trigonal pyramid. There are a spread of Ti–S bond distances ranging from 2.44–2.51 Å. In the fourth Ti+3.30+ site, Ti+3.30+ is bonded to six S2- atoms to form TiS6 octahedra that share corners with six CuS4 trigonal pyramids, edges with six TiS6 octahedra, and a faceface with one CuS4 trigonal pyramid. There are a spread of Ti–S bond distances ranging from 2.44–2.51 Å. In the fifth Ti+3.30+ site, Ti+3.30+ is bonded to six S2- atoms to form TiS6 octahedra that share corners with six CuS4 trigonal pyramids, edges with six TiS6 octahedra, and a faceface with one CuS4 trigonal pyramid. There are a spread of Ti–S bond distances ranging from 2.45–2.51 Å. In the sixth Ti+3.30+ site, Ti+3.30+ is bonded to six S2- atoms to form TiS6 octahedra that share corners with six CuS4 trigonal pyramids and edges with six TiS6 octahedra. There are four shorter (2.44 Å) and two longer (2.47 Å) Ti–S bond lengths. In the seventh Ti+3.30+ site, Ti+3.30+ is bonded to six S2- atoms to form TiS6 octahedra that share corners with six CuS4 trigonal pyramids, edges with six TiS6 octahedra, and a faceface with one CuS4 trigonal pyramid. There are a spread of Ti–S bond distances ranging from 2.45–2.51 Å. In the eighth Ti+3.30+ site, Ti+3.30+ is bonded to six S2- atoms to form TiS6 octahedra that share corners with three equivalent CuS4 trigonal pyramids and edges with six TiS6 octahedra. There are a spread of Ti–S bond distances ranging from 2.44–2.48 Å. In the ninth Ti+3.30+ site, Ti+3.30+ is bonded to six S2- atoms to form TiS6 octahedra that share corners with three equivalent CuS4 trigonal pyramids and edges with six TiS6 octahedra. There are a spread of Ti–S bond distances ranging from 2.44–2.50 Å. In the tenth Ti+3.30+ site, Ti+3.30+ is bonded to six S2- atoms to form TiS6 octahedra that share corners with seven CuS4 trigonal pyramids, edges with six TiS6 octahedra, and a faceface with one CuS4 trigonal pyramid. There are a spread of Ti–S bond distances ranging from 2.44–2.51 Å. There are seven inequivalent Cu1+ sites. In the first Cu1+ site, Cu1+ is bonded to four S2- atoms to form distorted CuS4 trigonal pyramids that share corners with nine TiS6 octahedra, corners with two equivalent CuS4 trigonal pyramids, and a faceface with one TiS6 octahedra. The corner-sharing octahedra tilt angles range from 48–54°. There are a spread of Cu–S bond distances ranging from 2.21–2.35 Å. In the second Cu1+ site, Cu1+ is bonded to four S2- atoms to form distorted CuS4 trigonal pyramids that share corners with nine TiS6 octahedra, corners with two equivalent CuS4 trigonal pyramids, and a faceface with one TiS6 octahedra. The corner-sharing octahedra tilt angles range from 48–54°. There are a spread of Cu–S bond distances ranging from 2.21–2.35 Å. In the third Cu1+ site, Cu1+ is bonded to four S2- atoms to form distorted CuS4 trigonal pyramids that share corners with nine TiS6 octahedra, corners with two equivalent CuS4 trigonal pyramids, and a faceface with one TiS6 octahedra. The corner-sharing octahedra tilt angles range from 48–54°. There are a spread of Cu–S bond distances ranging from 2.21–2.35 Å. In the fourth Cu1+ site, Cu1+ is bonded to four S2- atoms to form distorted CuS4 trigonal pyramids that share corners with nine TiS6 octahedra, corners with two equivalent CuS4 trigonal pyramids, and a faceface with one TiS6 octahedra. The corner-sharing octahedra tilt angles range from 48–54°. There are a spread of Cu–S bond distances ranging from 2.21–2.35 Å. In the fifth Cu1+ site, Cu1+ is bonded in a rectangular see-saw-like geometry to four S2- atoms. There are a spread of Cu–S bond distances ranging from 2.20–2.35 Å. In the sixth Cu1+ site, Cu1+ is bonded to four S2- atoms to form distorted CuS4 trigonal pyramids that share corners with nine TiS6 octahedra, corners with four CuS4 trigonal pyramids, and a faceface with one TiS6 octahedra. The corner-sharing octahedra tilt angles range from 49–55°. There are a spread of Cu–S bond distances ranging from 2.20–2.34 Å. In the seventh Cu1+ site, Cu1+ is bonded to four S2- atoms to form distorted CuS4 trigonal pyramids that share corners with nine TiS6 octahedra, corners with four CuS4 trigonal pyramids, and a faceface with one TiS6 octahedra. The corner-sharing octahedra tilt angles range from 49–55°. There are a spread of Cu–S bond distances ranging from 2.21–2.34 Å. There are twenty inequivalent S2- sites. In the first S2- site, S2- is bonded to three Ti+3.30+ and two equivalent Cu1+ atoms to form distorted edge-sharing STi3Cu2 square pyramids. In the second S2- site, S2- is bonded in a rectangular see-saw-like geometry to three Ti+3.30+ and one Cu1+ atom. In the third S2- site, S2- is bonded in a distorted T-shaped geometry to three Ti+3.30+ atoms. In the fourth S2- site, S2- is bonded to three Ti+3.30+ and two equivalent Cu1+ atoms to form distorted edge-sharing STi3Cu2 square pyramids. In the fifth S2- site, S2- is bonded in a rectangular see-saw-like geometry to three Ti+3.30+ and one Cu1+ atom. In the sixth S2- site, S2- is bonded in a rectangular see-saw-like geometry to three Ti+3.30+ and one Cu1+ atom. In the seventh S2- site, S2- is bonded to three Ti+3.30+ and two equivalent Cu1+ atoms to form distorted edge-sharing STi3Cu2 square pyramids. In the eighth S2- site, S2- is bonded in a rectangular see-saw-like geometry to three Ti+3.30+ and one Cu1+ atom. In the ninth S2- site, S2- is bonded in a rectangular see-saw-like geometry to three Ti+3.30+ and one Cu1+ atom. In the tenth S2- site, S2- is bonded to three Ti+3.30+ and two equivalent Cu1+ atoms to form distorted edge-sharing STi3Cu2 square pyramids. In the eleventh S2- site, S2- is bonded in a rectangular see-saw-like geometry to three Ti+3.30+ and one Cu1+ atom. In the twelfth S2- site, S2- is bonded in a rectangular see-saw-like geometry to three Ti+3.30+ and one Cu1+ atom. In the thirteenth S2- site, S2- is bonded to three Ti+3.30+ and two equivalent Cu1+ atoms to form distorted edge-sharing STi3Cu2 square pyramids. In the fourteenth S2- site, S2- is bonded in a rectangular see-saw-like geometry to three Ti+3.30+ and one Cu1+ atom. In the fifteenth S2- site, S2- is bonded in a rectangular see-saw-like geometry to three Ti+3.30+ and one Cu1+ atom. In the sixteenth S2- site, S2- is bonded in a 6-coordinate geometry to three Ti+3.30+ and three Cu1+ atoms. In the seventeenth S2- site, S2- is bonded in a rectangular see-saw-like geometry to three Ti+3.30+ and one Cu1+ atom. In the eighteenth S2- site, S2- is bonded in a 6-coordinate geometry to three Ti+3.30+ and three Cu1+ atoms. In the nineteenth S2- site, S2- is bonded in a rectangular see-saw-like geometry to three Ti+3.30+ and one Cu1+ atom. In the twentieth S2- site, S2- is bonded in a rectangular see-saw-like geometry to three Ti+3.30+ and one Cu1+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Nb24(CuS8)5 by Materials Project

Nb24(CuS8)5 crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are twenty-four inequivalent Nb+3.12+ sites. In the first Nb+3.12+ site, Nb+3.12+ is bonded to six S2- atoms to form a mixture of distorted edge and corner-sharing NbS6 pentagonal pyramids. The corner-sharing octahedral tilt angles are 46°. There are a spread of Nb–S bond distances ranging from 2.48–2.52 Å. In the second Nb+3.12+ site, Nb+3.12+ is bonded to six S2- atoms to form distorted edge-sharing NbS6 pentagonal pyramids. There are a spread of Nb–S bond distances ranging from 2.48–2.53 Å. In the third Nb+3.12+ site, Nb+3.12+ is bonded to six S2- atoms to form distorted edge-sharing NbS6 pentagonal pyramids. There are a spread of Nb–S bond distances ranging from 2.47–2.52 Å. In the fourth Nb+3.12+ site, Nb+3.12+ is bonded to six S2- atoms to form distorted edge-sharing NbS6 pentagonal pyramids. There are a spread of Nb–S bond distances ranging from 2.48–2.51 Å. In the fifth Nb+3.12+ site, Nb+3.12+ is bonded to six S2- atoms to form distorted edge-sharing NbS6 pentagonal pyramids. There are a spread of Nb–S bond distances ranging from 2.47–2.54 Å. In the sixth Nb+3.12+ site, Nb+3.12+ is bonded to six S2- atoms to form distorted edge-sharing NbS6 pentagonal pyramids. There are a spread of Nb–S bond distances ranging from 2.48–2.54 Å. In the seventh Nb+3.12+ site, Nb+3.12+ is bonded to six S2- atoms to form distorted edge-sharing NbS6 pentagonal pyramids. There are a spread of Nb–S bond distances ranging from 2.48–2.50 Å. In the eighth Nb+3.12+ site, Nb+3.12+ is bonded to six S2- atoms to form distorted edge-sharing NbS6 pentagonal pyramids. There are a spread of Nb–S bond distances ranging from 2.47–2.52 Å. In the ninth Nb+3.12+ site, Nb+3.12+ is bonded to six S2- atoms to form a mixture of distorted edge and corner-sharing NbS6 pentagonal pyramids. The corner-sharing octahedral tilt angles are 43°. There are a spread of Nb–S bond distances ranging from 2.49–2.54 Å. In the tenth Nb+3.12+ site, Nb+3.12+ is bonded to six S2- atoms to form distorted edge-sharing NbS6 pentagonal pyramids. There are a spread of Nb–S bond distances ranging from 2.48–2.53 Å. In the eleventh Nb+3.12+ site, Nb+3.12+ is bonded to six S2- atoms to form a mixture of distorted face, edge, and corner-sharing NbS6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 48–50°. There are a spread of Nb–S bond distances ranging from 2.48–2.57 Å. In the twelfth Nb+3.12+ site, Nb+3.12+ is bonded to six S2- atoms to form a mixture of distorted edge and corner-sharing NbS6 pentagonal pyramids. The corner-sharing octahedral tilt angles are 46°. There are a spread of Nb–S bond distances ranging from 2.49–2.52 Å. In the thirteenth Nb+3.12+ site, Nb+3.12+ is bonded to six S2- atoms to form a mixture of face, edge, and corner-sharing NbS6 octahedra. There are a spread of Nb–S bond distances ranging from 2.47–2.60 Å. In the fourteenth Nb+3.12+ site, Nb+3.12+ is bonded to six S2- atoms to form a mixture of distorted face, edge, and corner-sharing NbS6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 41–45°. There are a spread of Nb–S bond distances ranging from 2.48–2.55 Å. In the fifteenth Nb+3.12+ site, Nb+3.12+ is bonded to six S2- atoms to form a mixture of distorted face, edge, and corner-sharing NbS6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 41–45°. There are a spread of Nb–S bond distances ranging from 2.50–2.55 Å. In the sixteenth Nb+3.12+ site, Nb+3.12+ is bonded to six S2- atoms to form a mixture of face, edge, and corner-sharing NbS6 octahedra. There are a spread of Nb–S bond distances ranging from 2.47–2.64 Å. In the seventeenth Nb+3.12+ site, Nb+3.12+ is bonded to six S2- atoms to form a mixture of face, edge, and corner-sharing NbS6 octahedra. There are a spread of Nb–S bond distances ranging from 2.47–2.64 Å. In the eighteenth Nb+3.12+ site, Nb+3.12+ is bonded to six S2- atoms to form a mixture of distorted face, edge, and corner-sharing NbS6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 46–48°. There are a spread of Nb–S bond distances ranging from 2.48–2.55 Å. In the nineteenth Nb+3.12+ site, Nb+3.12+ is bonded to six S2- atoms to form a mixture of distorted face, edge, and corner-sharing NbS6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 46–48°. There are a spread of Nb–S bond distances ranging from 2.48–2.55 Å. In the twentieth Nb+3.12+ site, Nb+3.12+ is bonded to six S2- atoms to form a mixture of face, edge, and corner-sharing NbS6 octahedra. There are a spread of Nb–S bond distances ranging from 2.48–2.59 Å. In the twenty-first Nb+3.12+ site, Nb+3.12+ is bonded to six S2- atoms to form a mixture of distorted face, edge, and corner-sharing NbS6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 42–45°. There are a spread of Nb–S bond distances ranging from 2.48–2.52 Å. In the twenty-second Nb+3.12+ site, Nb+3.12+ is bonded to six S2- atoms to form a mixture of distorted face, edge, and corner-sharing NbS6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 41–44°. There are a spread of Nb–S bond distances ranging from 2.48–2.55 Å. In the twenty-third Nb+3.12+ site, Nb+3.12+ is bonded to six S2- atoms to form a mixture of distorted face, edge, and corner-sharing NbS6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 48–50°. There are a spread of Nb–S bond distances ranging from 2.48–2.57 Å. In the twenty-fourth Nb+3.12+ site, Nb+3.12+ is bonded to six S2- atoms to form a mixture of distorted edge and corner-sharing NbS6 pentagonal pyramids. The corner-sharing octahedral tilt angles are 43°. There are a spread of Nb–S bond distances ranging from 2.48–2.56 Å. There are five inequivalent Cu1+ sites. In the first Cu1+ site, Cu1+ is bonded in a rectangular see-saw-like geometry to four S2- atoms. There are a spread of Cu–S bond distances ranging from 2.24–2.35 Å. In the second Cu1+ site, Cu1+ is bonded in a rectangular see-saw-like geometry to four S2- atoms. There are a spread of Cu–S bond distances ranging from 2.24–2.34 Å. In the third Cu1+ site, Cu1+ is bonded in a rectangular see-saw-like geometry to four S2- atoms. There are a spread of Cu–S bond distances ranging from 2.23–2.34 Å. In the fourth Cu1+ site, Cu1+ is bonded in a distorted rectangular see-saw-like geometry to four S2- atoms. There are a spread of Cu–S bond distances ranging from 2.20–2.34 Å. In the fifth Cu1+ site, Cu1+ is bonded in a distorted rectangular see-saw-like geometry to four S2- atoms. There are a spread of Cu–S bond distances ranging from 2.22–2.35 Å. There are forty inequivalent S2- sites. In the first S2- site, S2- is bonded in a 5-coordinate geometry to three Nb+3.12+ and two equivalent Cu1+ atoms. In the second S2- site, S2- is bonded in a distorted T-shaped geometry to three Nb+3.12+ atoms. In the third S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to three Nb+3.12+ and one Cu1+ atom. In the fourth S2- site, S2- is bonded in a 3-coordinate geometry to three Nb+3.12+ atoms. In the fifth S2- site, S2- is bonded in a distorted T-shaped geometry to three Nb+3.12+ atoms. In the sixth S2- site, S2- is bonded in a 3-coordinate geometry to three Nb+3.12+ atoms. In the seventh S2- site, S2- is bonded in a 5-coordinate geometry to three Nb+3.12+ and two equivalent Cu1+ atoms. In the eighth S2- site, S2- is bonded in a 3-coordinate geometry to three Nb+3.12+ atoms. In the ninth S2- site, S2- is bonded in a distorted T-shaped geometry to three Nb+3.12+ atoms. In the tenth S2- site, S2- is bonded in a rectangular see-saw-like geometry to three Nb+3.12+ and one Cu1+ atom. In the eleventh S2- site, S2- is bonded in a rectangular see-saw-like geometry to three Nb+3.12+ and one Cu1+ atom. In the twelfth S2- site, S2- is bonded in a distorted T-shaped geometry to three Nb+3.12+ atoms. In the thirteenth S2- site, S2- is bonded in a 3-coordinate geometry to three Nb+3.12+ atoms. In the fourteenth S2- site, S2- is bonded in a 5-coordinate geometry to three Nb+3.12+ and two equivalent Cu1+ atoms. In the fifteenth S2- site, S2- is bonded in a 3-coordinate geometry to three Nb+3.12+ atoms. In the sixteenth S2- site, S2- is bonded in a distorted T-shaped geometry to three Nb+3.12+ atoms. In the seventeenth S2- site, S2- is bonded in a 3-coordinate geometry to three Nb+3.12+ atoms. In the eighteenth S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to three Nb+3.12+ and one Cu1+ atom. In the nineteenth S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to three Nb+3.12+ and one Cu1+ atom. In the twentieth S2- site, S2- is bonded to four Nb+3.12+ atoms to form distorted SNb4 trigonal pyramids that share a cornercorner with one SNb6 pentagonal pyramid, corners with two equivalent SNb4 trigonal pyramids, and edges with two equivalent SNb6 pentagonal pyramids. In the twenty-first S2- site, S2- is bonded in a 3-coordinate geometry to three Nb+3.12+ atoms. In the twenty-second S2- site, S2- is bonded in a 3-coordinate geometry to three Nb+3.12+ atoms. In the twenty-third S2- site, S2- is bonded in a 5-coordinate geometry to three Nb+3.12+ and two equivalent Cu1+ atoms. In the twenty-fourth S2- site, S2- is bonded to six Nb+3.12+ atoms to form distorted SNb6 pentagonal pyramids that share a cornercorner with one SNb6 pentagonal pyramid, edges with six SNb6 pentagonal pyramids, and edges with two equivalent SNb4 trigonal pyramids. In the twenty-fifth S2- site, S2- is bonded in a 5-coordinate geometry to five Nb+3.12+ atoms. In the twenty-sixth S2- site, S2- is bonded in a rectangular see-saw-like geometry to three Nb+3.12+ and one Cu1+ atom. In the twenty-seventh S2- site, S2- is bonded in a 3-coordinate geometry to three Nb+3.12+ atoms. In the twenty-eighth S2- site, S2- is bonded to six Nb+3.12+ atoms to form a mixture of distorted edge and corner-sharing SNb6 pentagonal pyramids. In the twenty-ninth S2- site, S2- is bonded to six Nb+3.12+ atoms to form distorted SNb6 pentagonal pyramids that share corners with two equivalent SNb6 pentagonal pyramids, a cornercorner with one SNb4 trigonal pyramid, and edges with seven SNb6 pentagonal pyramids. In the thirtieth S2- site, S2- is bonded in a 3-coordinate geometry to three Nb+3.12+ atoms. In the thirty-first S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to three Nb+3.12+ and one Cu1+ atom. In the thirty-second S2- site, S2- is bonded to six Nb+3.12+ atoms to form distorted SNb6 pentagonal pyramids that share corners with two equivalent SNb6 pentagonal pyramids, a cornercorner with one SNb4 trigonal pyramid, and edges with seven SNb6 pentagonal pyramids. In the thirty-third S2- site, S2- is bonded to six Nb+3.12+ atoms to form a mixture of distorted edge and corner-sharing SNb6 pentagonal pyramids. In the thirty-fourth S2- site, S2- is bonded in a 3-coordinate geometry to three Nb+3.12+ atoms. In the thirty-fifth S2- site, S2- is bonded in a 6-coordinate geometry to three Nb+3.12+ and three Cu1+ atoms. In the thirty-sixth S2- site, S2- is bonded in a 5-coordinate geometry to five Nb+3.12+ atoms. In the thirty-seventh S2- site, S2- is bonded to six Nb+3.12+ atoms to form distorted SNb6 pentagonal pyramids that share a cornercorner with one SNb6 pentagonal pyramid, edges with six SNb6 pentagonal pyramids, and edges with two equivalent SNb4 trigonal pyramids. In the thirty-eighth S2- site, S2- is bonded in a rectangular see-saw-like geometry to three Nb+3.12+ and one Cu1+ atom. In the thirty-ninth S2- site, S2- is bonded to four Nb+3.12+ atoms to form distorted SNb4 trigonal pyramids that share a cornercorner with one SNb6 pentagonal pyramid, corners with two equivalent SNb4 trigonal pyramids, and edges with two equivalent SNb6 pentagonal pyramids. In the fortieth S2- site, S2- is bonded in a distorted rectangu

36 MATERIALS SCIENCE↗

Materials Data on Li5Fe7O3F13 by Materials Project

Li5Fe7O3F13 is Spinel-derived structured and 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 F1- atoms to form LiF4 tetrahedra that share a cornercorner with one LiF6 octahedra and corners with eleven FeO2F4 octahedra. The corner-sharing octahedra tilt angles range from 51–59°. There are a spread of Li–F bond distances ranging from 1.91–1.94 Å. In the second Li1+ site, Li1+ is bonded to one O2- and three F1- atoms to form LiOF3 tetrahedra that share corners with two equivalent LiF6 octahedra and corners with ten FeO2F4 octahedra. The corner-sharing octahedra tilt angles range from 54–64°. The Li–O bond length is 2.06 Å. There are a spread of Li–F bond distances ranging from 2.04–2.11 Å. In the third Li1+ site, Li1+ is bonded to two O2- and two F1- atoms to form LiO2F2 tetrahedra that share corners with two equivalent LiF6 octahedra and corners with ten FeO2F4 octahedra. The corner-sharing octahedra tilt angles range from 52–66°. There are one shorter (2.00 Å) and one longer (2.15 Å) Li–O bond lengths. Both Li–F bond lengths are 2.07 Å. In the fourth Li1+ site, Li1+ is bonded to four F1- atoms to form LiF4 tetrahedra that share a cornercorner with one LiF6 octahedra and corners with eleven FeO2F4 octahedra. The corner-sharing octahedra tilt angles range from 52–63°. There are a spread of Li–F bond distances ranging from 1.94–1.97 Å. In the fifth Li1+ site, Li1+ is bonded to six F1- atoms to form LiF6 octahedra that share corners with six LiF4 tetrahedra and edges with six FeOF5 octahedra. There are a spread of Li–F bond distances ranging from 2.04–2.22 Å. There are seven inequivalent Fe2+ sites. In the first Fe2+ site, Fe2+ is bonded to two O2- and four F1- atoms to form FeO2F4 octahedra that share corners with six LiF4 tetrahedra and edges with six FeO2F4 octahedra. There are one shorter (2.01 Å) and one longer (2.02 Å) Fe–O bond lengths. There are a spread of Fe–F bond distances ranging from 2.21–2.28 Å. In the second Fe2+ site, Fe2+ is bonded to six F1- atoms to form FeF6 octahedra that share corners with six LiF4 tetrahedra, an edgeedge with one LiF6 octahedra, and edges with five FeO2F4 octahedra. There are a spread of Fe–F bond distances ranging from 2.06–2.17 Å. In the third Fe2+ site, Fe2+ is bonded to two O2- and four F1- atoms to form FeO2F4 octahedra that share corners with six LiF4 tetrahedra and edges with six FeO2F4 octahedra. There are one shorter (2.00 Å) and one longer (2.02 Å) Fe–O bond lengths. There are a spread of Fe–F bond distances ranging from 2.24–2.30 Å. In the fourth Fe2+ site, Fe2+ is bonded to two O2- and four F1- atoms to form FeO2F4 octahedra that share corners with six LiF4 tetrahedra and edges with six FeOF5 octahedra. There are one shorter (2.01 Å) and one longer (2.02 Å) Fe–O bond lengths. There are a spread of Fe–F bond distances ranging from 2.21–2.31 Å. In the fifth Fe2+ site, Fe2+ is bonded to one O2- and five F1- atoms to form FeOF5 octahedra that share corners with six LiF4 tetrahedra, edges with two equivalent LiF6 octahedra, and edges with four FeOF5 octahedra. The Fe–O bond length is 2.03 Å. There are a spread of Fe–F bond distances ranging from 2.08–2.24 Å. In the sixth Fe2+ site, Fe2+ is bonded to one O2- and five F1- atoms to form FeOF5 octahedra that share corners with six LiO2F2 tetrahedra, an edgeedge with one LiF6 octahedra, and edges with five FeO2F4 octahedra. The Fe–O bond length is 2.00 Å. There are a spread of Fe–F bond distances ranging from 2.11–2.20 Å. In the seventh Fe2+ site, Fe2+ is bonded to one O2- and five F1- atoms to form FeOF5 octahedra that share corners with six LiF4 tetrahedra, edges with two equivalent LiF6 octahedra, and edges with four FeOF5 octahedra. The Fe–O bond length is 1.98 Å. There are a spread of Fe–F bond distances ranging from 2.15–2.21 Å. There are three inequivalent O2- sites. In the first O2- site, O2- is bonded to one Li1+ and three Fe2+ atoms to form corner-sharing OLiFe3 tetrahedra. In the second O2- site, O2- is bonded to one Li1+ and three Fe2+ atoms to form corner-sharing OLiFe3 tetrahedra. In the third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Fe2+ atoms. There are thirteen inequivalent F1- sites. In the first F1- site, F1- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Fe2+ atoms. In the second F1- site, F1- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Fe2+ atoms. In the third F1- site, F1- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Fe2+ atoms. In the fourth F1- site, F1- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Fe2+ atoms. In the fifth F1- site, F1- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Fe2+ atoms. In the sixth F1- site, F1- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Fe2+ atoms. In the seventh F1- site, F1- is bonded in a rectangular see-saw-like geometry to two Li1+ and two Fe2+ atoms. In the eighth F1- site, F1- is bonded in a rectangular see-saw-like geometry to two Li1+ and two Fe2+ atoms. In the ninth F1- site, F1- is bonded in a rectangular see-saw-like geometry to two Li1+ and two Fe2+ atoms. In the tenth F1- site, F1- is bonded in a distorted tetrahedral geometry to two Li1+ and two Fe2+ atoms. In the eleventh F1- site, F1- is bonded in a rectangular see-saw-like geometry to two Li1+ and two Fe2+ atoms. In the twelfth F1- site, F1- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Fe2+ atoms. In the thirteenth F1- site, F1- is bonded in a rectangular see-saw-like geometry to two Li1+ and two Fe2+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on LiCo2OF3 by Materials Project

LiCo2OF3 is Spinel-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are four inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to one O2- and five F1- atoms to form LiOF5 octahedra that share corners with six CoO2F2 tetrahedra, edges with two LiOF5 octahedra, and edges with four CoO2F4 octahedra. The Li–O bond length is 1.98 Å. There are a spread of Li–F bond distances ranging from 2.04–2.13 Å. In the second Li1+ site, Li1+ is bonded to one O2- and five F1- atoms to form LiOF5 octahedra that share corners with six CoO2F2 tetrahedra, edges with two LiOF5 octahedra, and edges with four CoO2F4 octahedra. The Li–O bond length is 2.00 Å. There are a spread of Li–F bond distances ranging from 2.01–2.18 Å. In the third Li1+ site, Li1+ is bonded to two O2- and four F1- atoms to form LiO2F4 octahedra that share corners with six CoO2F2 tetrahedra, edges with two LiOF5 octahedra, and edges with four CoO2F4 octahedra. There are one shorter (2.02 Å) and one longer (2.06 Å) Li–O bond lengths. There are a spread of Li–F bond distances ranging from 2.07–2.19 Å. In the fourth Li1+ site, Li1+ is bonded to six F1- atoms to form LiF6 octahedra that share corners with six CoO2F2 tetrahedra, edges with two LiOF5 octahedra, and edges with four CoO2F4 octahedra. There are a spread of Li–F bond distances ranging from 1.98–2.13 Å. There are eight inequivalent Co2+ sites. In the first Co2+ site, Co2+ is bonded to two O2- and four F1- atoms to form CoO2F4 octahedra that share corners with six CoO2F2 tetrahedra, edges with two CoO3F3 octahedra, and edges with four LiOF5 octahedra. There is one shorter (1.95 Å) and one longer (1.98 Å) Co–O bond length. There are a spread of Co–F bond distances ranging from 2.15–2.23 Å. In the second Co2+ site, Co2+ is bonded to two O2- and four F1- atoms to form CoO2F4 octahedra that share corners with six CoO2F2 tetrahedra, edges with two CoO3F3 octahedra, and edges with four LiOF5 octahedra. Both Co–O bond lengths are 1.98 Å. There are a spread of Co–F bond distances ranging from 2.14–2.20 Å. In the third Co2+ site, Co2+ is bonded to one O2- and three F1- atoms to form CoOF3 tetrahedra that share corners with six LiOF5 octahedra and corners with six CoO2F4 octahedra. The corner-sharing octahedra tilt angles range from 50–68°. The Co–O bond length is 1.88 Å. There are a spread of Co–F bond distances ranging from 1.99–2.09 Å. In the fourth Co2+ site, Co2+ is bonded to one O2- and three F1- atoms to form CoOF3 tetrahedra that share corners with six LiOF5 octahedra and corners with six CoO2F4 octahedra. The corner-sharing octahedra tilt angles range from 47–61°. The Co–O bond length is 1.87 Å. There are a spread of Co–F bond distances ranging from 1.97–2.03 Å. In the fifth Co2+ site, Co2+ is bonded to three O2- and three F1- atoms to form CoO3F3 octahedra that share corners with six CoO2F2 tetrahedra, edges with two CoO2F4 octahedra, and edges with four LiOF5 octahedra. There are one shorter (1.99 Å) and two longer (2.04 Å) Co–O bond lengths. There are a spread of Co–F bond distances ranging from 2.19–2.25 Å. In the sixth Co2+ site, Co2+ is bonded to one O2- and five F1- atoms to form CoOF5 octahedra that share corners with six CoO2F2 tetrahedra, edges with two CoO2F4 octahedra, and edges with four LiOF5 octahedra. The Co–O bond length is 1.91 Å. There are a spread of Co–F bond distances ranging from 2.09–2.17 Å. In the seventh Co2+ site, Co2+ is bonded to two O2- and two F1- atoms to form CoO2F2 tetrahedra that share corners with six LiOF5 octahedra and corners with six CoO2F4 octahedra. The corner-sharing octahedra tilt angles range from 50–65°. There is one shorter (1.91 Å) and one longer (1.94 Å) Co–O bond length. There are one shorter (2.03 Å) and one longer (2.08 Å) Co–F bond lengths. In the eighth Co2+ site, Co2+ is bonded to four F1- atoms to form CoF4 tetrahedra that share corners with six LiOF5 octahedra and corners with six CoO2F4 octahedra. The corner-sharing octahedra tilt angles range from 54–62°. There are a spread of Co–F bond distances ranging from 1.94–2.01 Å. There are four inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Co2+ atoms. In the second O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Co2+ atoms. In the third O2- site, O2- is bonded to one Li1+ and three Co2+ atoms to form distorted corner-sharing OLiCo3 tetrahedra. In the fourth O2- site, O2- is bonded to one Li1+ and three Co2+ atoms to form distorted corner-sharing OLiCo3 trigonal pyramids. There are twelve inequivalent F1- sites. In the first F1- site, F1- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Co2+ atoms. In the second F1- site, F1- is bonded in a rectangular see-saw-like geometry to two Li1+ and two Co2+ atoms. In the third F1- site, F1- is bonded in a rectangular see-saw-like geometry to two Li1+ and two Co2+ atoms. In the fourth F1- site, F1- is bonded in a rectangular see-saw-like geometry to two Li1+ and two Co2+ atoms. In the fifth F1- site, F1- is bonded in a rectangular see-saw-like geometry to two Li1+ and two Co2+ atoms. In the sixth F1- site, F1- is bonded in a rectangular see-saw-like geometry to two Li1+ and two Co2+ atoms. In the seventh F1- site, F1- is bonded in a rectangular see-saw-like geometry to two Li1+ and two Co2+ atoms. In the eighth F1- site, F1- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Co2+ atoms. In the ninth F1- site, F1- is bonded in a distorted rectangular see-saw-like geometry to two Li1+ and two Co2+ atoms. In the tenth F1- site, F1- is bonded in a distorted trigonal pyramidal geometry to two Li1+ and two Co2+ atoms. In the eleventh F1- site, F1- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Co2+ atoms. In the twelfth F1- site, F1- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Co2+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Li11Ti8Fe5O32 by Materials Project

Li11Ti8Fe5O32 is Spinel-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eleven inequivalent Li sites. In the first Li site, Li is bonded to four O atoms to form LiO4 tetrahedra that share corners with three LiO6 octahedra, corners with four FeO6 octahedra, and corners with five TiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–67°. There are a spread of Li–O bond distances ranging from 1.93–2.05 Å. In the second Li site, Li is bonded to six O atoms to form LiO6 octahedra that share a cornercorner with one FeO4 tetrahedra, corners with five LiO4 tetrahedra, edges with two FeO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Li–O bond distances ranging from 2.07–2.20 Å. In the third Li site, Li is bonded to four O atoms to form LiO4 tetrahedra that share corners with two FeO6 octahedra, corners with three LiO6 octahedra, and corners with seven TiO6 octahedra. The corner-sharing octahedra tilt angles range from 56–66°. There are a spread of Li–O bond distances ranging from 1.99–2.04 Å. In the fourth Li site, Li is bonded to four O atoms to form LiO4 tetrahedra that share corners with two FeO6 octahedra, corners with three LiO6 octahedra, and corners with seven TiO6 octahedra. The corner-sharing octahedra tilt angles range from 53–66°. There are a spread of Li–O bond distances ranging from 1.99–2.04 Å. In the fifth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with six LiO4 tetrahedra and edges with six TiO6 octahedra. There are a spread of Li–O bond distances ranging from 2.14–2.21 Å. In the sixth Li site, Li is bonded to four O atoms to form LiO4 tetrahedra that share corners with two FeO6 octahedra, corners with three LiO6 octahedra, and corners with seven TiO6 octahedra. The corner-sharing octahedra tilt angles range from 53–65°. There are a spread of Li–O bond distances ranging from 1.99–2.03 Å. In the seventh Li site, Li is bonded to four O atoms to form LiO4 tetrahedra that share corners with three LiO6 octahedra, corners with three FeO6 octahedra, and corners with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 54–65°. There are a spread of Li–O bond distances ranging from 1.97–2.02 Å. In the eighth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share a cornercorner with one FeO4 tetrahedra, corners with five LiO4 tetrahedra, edges with three TiO6 octahedra, and edges with three FeO6 octahedra. There are a spread of Li–O bond distances ranging from 2.06–2.18 Å. In the ninth Li site, Li is bonded to four O atoms to form LiO4 tetrahedra that share corners with three LiO6 octahedra, corners with four FeO6 octahedra, and corners with five TiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–68°. There are a spread of Li–O bond distances ranging from 1.99–2.03 Å. In the tenth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share a cornercorner with one FeO4 tetrahedra, corners with five LiO4 tetrahedra, edges with three TiO6 octahedra, and edges with three FeO6 octahedra. There are a spread of Li–O bond distances ranging from 2.10–2.19 Å. In the eleventh Li site, Li is bonded to four O atoms to form LiO4 tetrahedra that share corners with three LiO6 octahedra, corners with three FeO6 octahedra, and corners with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–69°. There are a spread of Li–O bond distances ranging from 1.97–2.01 Å. There are eight inequivalent Ti sites. In the first Ti site, Ti is bonded to six O atoms to form TiO6 octahedra that share a cornercorner with one FeO4 tetrahedra, corners with five LiO4 tetrahedra, an edgeedge with one FeO6 octahedra, edges with two LiO6 octahedra, and edges with three TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.89–2.08 Å. In the second Ti site, Ti is bonded to six O atoms to form TiO6 octahedra that share corners with six LiO4 tetrahedra, an edgeedge with one FeO6 octahedra, edges with two LiO6 octahedra, and edges with three TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.86–2.12 Å. In the third Ti site, Ti is bonded to six O atoms to form TiO6 octahedra that share corners with six LiO4 tetrahedra, edges with two LiO6 octahedra, edges with two TiO6 octahedra, and edges with two FeO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.84–2.13 Å. In the fourth Ti site, Ti is bonded to six O atoms to form TiO6 octahedra that share a cornercorner with one FeO4 tetrahedra, corners with five LiO4 tetrahedra, edges with two LiO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.83–2.16 Å. In the fifth Ti site, Ti is bonded to six O atoms to form TiO6 octahedra that share a cornercorner with one FeO4 tetrahedra, corners with five LiO4 tetrahedra, an edgeedge with one FeO6 octahedra, edges with two LiO6 octahedra, and edges with three TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.86–2.14 Å. In the sixth Ti site, Ti is bonded to six O atoms to form TiO6 octahedra that share corners with six LiO4 tetrahedra, an edgeedge with one FeO6 octahedra, edges with two LiO6 octahedra, and edges with three TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.86–2.11 Å. In the seventh Ti site, Ti is bonded to six O atoms to form TiO6 octahedra that share a cornercorner with one FeO4 tetrahedra, corners with five LiO4 tetrahedra, edges with two LiO6 octahedra, edges with two TiO6 octahedra, and edges with two FeO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.85–2.11 Å. In the eighth Ti site, Ti is bonded to six O atoms to form TiO6 octahedra that share a cornercorner with one FeO4 tetrahedra, corners with five LiO4 tetrahedra, edges with two LiO6 octahedra, edges with two TiO6 octahedra, and edges with two FeO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.86–2.15 Å. There are five inequivalent Fe sites. In the first Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share a cornercorner with one FeO4 tetrahedra, corners with five LiO4 tetrahedra, an edgeedge with one FeO6 octahedra, edges with two LiO6 octahedra, and edges with three TiO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.89–2.06 Å. In the second Fe site, Fe is bonded to four O atoms to form FeO4 tetrahedra that share corners with three LiO6 octahedra, corners with four FeO6 octahedra, and corners with five TiO6 octahedra. The corner-sharing octahedra tilt angles range from 53–63°. There are a spread of Fe–O bond distances ranging from 1.89–1.94 Å. In the third Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share a cornercorner with one FeO4 tetrahedra, corners with five LiO4 tetrahedra, an edgeedge with one FeO6 octahedra, edges with two LiO6 octahedra, and edges with three TiO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.86–2.02 Å. In the fourth Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share a cornercorner with one FeO4 tetrahedra, corners with five LiO4 tetrahedra, edges with two LiO6 octahedra, edges with two TiO6 octahedra, and edges with two FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.86–2.05 Å. In the fifth Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share a cornercorner with one FeO4 tetrahedra, corners with five LiO4 tetrahedra, edges with two LiO6 octahedra, edges with two TiO6 octahedra, and edges with two FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.85–2.01 Å. There are thirty-two inequivalent O sites. In the first O site, O is bonded to two Li, one Ti, and one Fe atom to form distorted OLi2TiFe trigonal pyramids that share corners with five OLi2Ti2 trigonal pyramids and edges with two OLi2TiFe trigonal pyramids. In the second O site, O is bonded in a distorted rectangular see-saw-like geometry to one Li, two Ti, and one Fe atom. In the third O site, O is bonded to two Li, one Ti, and one Fe atom to form distorted OLi2TiFe trigonal pyramids that share corners with six OLi2Ti2 trigonal pyramids and edges with two OLi2TiFe trigonal pyramids. In the fourth O site, O is bonded to two Li and two Ti atoms to form distorted corner-sharing OLi2Ti2 trigonal pyramids. In the fifth O site, O is bonded to two Li and two Ti atoms to form a mixture of distorted edge and corner-sharing OLi2Ti2 trigonal pyramids. In the sixth O site, O is bonded in a rectangular see-saw-like geometry to two Li and two Ti atoms. In the seventh O site, O is bonded in a rectangular see-saw-like geometry to one Li and three Ti atoms. In the eighth O site, O is bonded in a distorted rectangular see-saw-like geometry to two Li and two Ti atoms. In the ninth O site, O is bonded in a distorted rectangular see-saw-like geometry to two Li and two Ti atoms. In the tenth O site, O is bonded in a rectangular see-saw-like geometry to one Li and three Ti atoms. In the eleventh O site, O is bonded to two Li and two Ti atoms to form a mixture of distorted edge and corner-sharing OLi2Ti2 trigonal pyramids. In the twelfth O site, O is bonded to two Li and two Ti atoms to form distorted corner-sharing OLi2Ti2 trigonal pyramids. In the thirteenth O site, O is bonded to two Li and two Ti atoms to form distorted OLi2Ti2 trigonal pyramids that share corners with seven OLi2Ti2 trigonal pyramids and an edgeedge with one OLi2TiFe trigonal pyramid. In the fourteenth O site, O is bonded to two Li and two Ti atoms to form a mixture of edge and corner-sharing OLi2Ti2 trigonal pyramids. In the fifteenth O site, O is bonded in a distorted rectangular see-saw-like geometry to one Li, two Ti, and one Fe atom. In the sixteenth O site, O is bonded to two Li and two Ti atoms to form a mixture of distorted edge and corner-sharing OLi2Ti2 trigonal pyramids. In the seventeenth O site, O is bonded to two Li, one Ti, and one Fe atom to form a mixture of distorted edge and corner-sharing OLi2TiFe trigonal pyramids. In the eighteenth O site, O is bonded in a rectangular see-saw-like geometry to three Ti and one Fe atom. In the nineteenth O site, O is bonded in a rectangular see-saw-like geometry to one Li, one Ti, and two Fe atoms. In the twentieth O site, O is bonded to two Li and two Ti atoms to form a mixture of distorted edge and corner-sharing OLi2Ti2 trigonal pyramids. In the twenty-first O site, O is bonded to two Li, one Ti, and one Fe atom to form distorted OLi2TiFe trigonal pyramids that share corners with six OLi2Ti2 trigonal pyramids and an edgeedge with one OLi2Fe2 trigonal pyramid. In the twenty-second O site, O is bonded to two Li, one Ti, and one Fe atom to form distorted OLi2TiFe trigonal pyramids that share corners with seven OLi2Ti2 trigonal pyramids and edges with two OLi2Fe2 trigonal pyramids. In the twenty-third O site, O is bonded in a rectangular see-saw-like geometry to one Li, one Ti, and two Fe atoms. In the twenty-fourth O site, O is bonded to two Li, one Ti, and one Fe atom to form OLi2TiFe trigonal pyramids that share corners with six OLi2Ti2 trigonal pyramids and edges with two OLi2Fe2 trigonal pyramids. In the twenty-fifth O site, O is bonded to two Li and two Fe atoms to form a mixture of distorted edge and corner-sharing OLi2Fe2 trigonal pyramids. In the twenty-sixth O site, O is bonded in a rectangular see-saw-like geometry to one Li, one Ti, and two Fe atoms. In the twenty-seventh O site, O is bonded in a rectangular see-saw-like geometry to two Li, one Ti, and one Fe atom. In the twenty-eighth O site, O is bonded to two Li and two Fe atoms to form distorted OLi2Fe2 trigonal pyramids that share corners with five OLi2Ti2 trigonal pyramids and edges with two OLi2TiFe trigonal pyramids. In the twenty-ninth O site, O is bonded in a rectangular see-saw-like geometry to on

36 MATERIALS SCIENCE↗

Materials Data on Li8Mn12Ni4O31 by Materials Project

Li8Mn12Ni4O31 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 two NiO6 octahedra, corners with seven MnO6 octahedra, a cornercorner with one NiO5 square pyramid, and corners with two MnO5 square pyramids. The corner-sharing octahedra tilt angles range from 49–65°. There are a spread of Li–O bond distances ranging from 1.93–2.01 Å. In the second Li1+ site, Li1+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of Li–O bond distances ranging from 1.89–1.93 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two NiO6 octahedra, corners with eight MnO6 octahedra, a cornercorner with one MnO5 square pyramid, and a cornercorner with one NiO5 square pyramid. The corner-sharing octahedra tilt angles range from 55–66°. There is two shorter (1.98 Å) and two longer (2.00 Å) Li–O bond length. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two NiO6 octahedra, corners with seven MnO6 octahedra, a cornercorner with one NiO5 square pyramid, and corners with two MnO5 square pyramids. The corner-sharing octahedra tilt angles range from 54–67°. There are a spread of Li–O bond distances ranging from 1.95–2.01 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three NiO6 octahedra and corners with nine MnO6 octahedra. The corner-sharing octahedra tilt angles range from 55–67°. There are a spread of Li–O bond distances ranging from 1.96–2.01 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three NiO6 octahedra, corners with seven MnO6 octahedra, and corners with two MnO5 square pyramids. The corner-sharing octahedra tilt angles range from 55–66°. 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 two NiO6 octahedra, corners with eight MnO6 octahedra, a cornercorner with one MnO5 square pyramid, and a cornercorner with one NiO5 square pyramid. The corner-sharing octahedra tilt angles range from 56–66°. There are a spread of Li–O bond distances ranging from 1.98–2.01 Å. In the eighth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two NiO6 octahedra, corners with seven MnO6 octahedra, a cornercorner with one NiO5 square pyramid, and corners with two MnO5 square pyramids. The corner-sharing octahedra tilt angles range from 54–67°. There are a spread of Li–O bond distances ranging from 1.98–2.01 Å. There are twelve inequivalent Mn+3.67+ sites. In the first Mn+3.67+ site, Mn+3.67+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with five LiO4 tetrahedra, an edgeedge with one NiO6 octahedra, edges with four MnO6 octahedra, and an edgeedge with one NiO5 square pyramid. There are a spread of Mn–O bond distances ranging from 1.91–1.97 Å. In the second Mn+3.67+ site, Mn+3.67+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with five LiO4 tetrahedra, edges with two NiO6 octahedra, edges with three MnO6 octahedra, and an edgeedge with one MnO5 square pyramid. There are a spread of Mn–O bond distances ranging from 1.86–1.98 Å. In the third Mn+3.67+ site, Mn+3.67+ is bonded to five O2- atoms to form MnO5 square pyramids that share a cornercorner with one MnO5 square pyramid, a cornercorner with one NiO5 square pyramid, corners with five LiO4 tetrahedra, an edgeedge with one NiO6 octahedra, and edges with three MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.91–2.05 Å. In the fourth Mn+3.67+ site, Mn+3.67+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with five LiO4 tetrahedra, an edgeedge with one NiO6 octahedra, edges with four MnO6 octahedra, and an edgeedge with one NiO5 square pyramid. There are a spread of Mn–O bond distances ranging from 1.90–1.96 Å. In the fifth Mn+3.67+ site, Mn+3.67+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with five LiO4 tetrahedra, an edgeedge with one NiO6 octahedra, edges with four MnO6 octahedra, and an edgeedge with one NiO5 square pyramid. There are a spread of Mn–O bond distances ranging from 1.90–1.97 Å. In the sixth Mn+3.67+ site, Mn+3.67+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with five LiO4 tetrahedra, edges with two NiO6 octahedra, edges with three MnO6 octahedra, and an edgeedge with one MnO5 square pyramid. There are a spread of Mn–O bond distances ranging from 1.90–1.97 Å. In the seventh Mn+3.67+ site, Mn+3.67+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, edges with two NiO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.91–1.97 Å. In the eighth Mn+3.67+ site, Mn+3.67+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with five LiO4 tetrahedra, edges with two NiO6 octahedra, edges with three MnO6 octahedra, and an edgeedge with one MnO5 square pyramid. There are a spread of Mn–O bond distances ranging from 1.91–1.97 Å. In the ninth Mn+3.67+ site, Mn+3.67+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with five LiO4 tetrahedra, edges with two NiO6 octahedra, edges with three MnO6 octahedra, and an edgeedge with one MnO5 square pyramid. There are a spread of Mn–O bond distances ranging from 1.92–1.97 Å. In the tenth Mn+3.67+ site, Mn+3.67+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, edges with two NiO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.91–1.97 Å. In the eleventh Mn+3.67+ site, Mn+3.67+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, an edgeedge with one NiO6 octahedra, edges with two MnO6 octahedra, an edgeedge with one NiO5 square pyramid, and edges with two MnO5 square pyramids. There are a spread of Mn–O bond distances ranging from 1.91–1.97 Å. In the twelfth Mn+3.67+ site, Mn+3.67+ is bonded to five O2- atoms to form MnO5 square pyramids that share a cornercorner with one MnO5 square pyramid, a cornercorner with one NiO5 square pyramid, corners with five LiO4 tetrahedra, an edgeedge with one NiO6 octahedra, and edges with three MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.92–2.07 Å. There are four inequivalent Ni+2.50+ sites. In the first Ni+2.50+ site, Ni+2.50+ is bonded to five O2- atoms to form NiO5 square pyramids that share corners with two MnO5 square pyramids, corners with five LiO4 tetrahedra, and edges with four MnO6 octahedra. There are a spread of Ni–O bond distances ranging from 1.99–2.06 Å. In the second Ni+2.50+ site, Ni+2.50+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with five LiO4 tetrahedra, edges with five MnO6 octahedra, and an edgeedge with one MnO5 square pyramid. There are a spread of Ni–O bond distances ranging from 2.06–2.10 Å. In the third Ni+2.50+ site, Ni+2.50+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six LiO4 tetrahedra and edges with six MnO6 octahedra. There are one shorter (2.08 Å) and five longer (2.09 Å) Ni–O bond lengths. In the fourth Ni+2.50+ site, Ni+2.50+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with five LiO4 tetrahedra, edges with five MnO6 octahedra, and an edgeedge with one MnO5 square pyramid. There are three shorter (2.08 Å) and three longer (2.09 Å) Ni–O bond lengths. There are thirty-one inequivalent O2- sites. In the first O2- site, O2- is bonded to one Li1+, two Mn+3.67+, and one Ni+2.50+ atom to form a mixture of distorted edge and corner-sharing OLiMn2Ni tetrahedra. In the second O2- site, O2- is bonded to one Li1+ and three Mn+3.67+ atoms to form distorted OLiMn3 trigonal pyramids that share a cornercorner with one OLiMn2Ni tetrahedra, corners with six OLiMn3 trigonal pyramids, and edges with two OLiMn2Ni trigonal pyramids. In the third O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, two Mn+3.67+, and one Ni+2.50+ atom. In the fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+3.67+, and one Ni+2.50+ atom. In the fifth O2- site, O2- is bonded to one Li1+ and three Mn+3.67+ atoms to form distorted OLiMn3 trigonal pyramids that share corners with two OLiMn3 tetrahedra and corners with five OLiMn2Ni trigonal pyramids. In the sixth O2- site, O2- is bonded to one Li1+, two Mn+3.67+, and one Ni+2.50+ atom to form distorted OLiMn2Ni trigonal pyramids that share corners with two OLiMn2Ni tetrahedra, corners with four OLiMn2Ni trigonal pyramids, and an edgeedge with one OLiMn3 trigonal pyramid. In the seventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+3.67+, and one Ni+2.50+ atom. In the eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+3.67+, and one Ni+2.50+ atom. In the ninth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+3.67+, and one Ni+2.50+ atom. In the tenth O2- site, O2- is bonded to one Li1+ and three Mn+3.67+ atoms to form distorted OLiMn3 trigonal pyramids that share corners with four OLiMn3 trigonal pyramids and an edgeedge with one OLiMn2Ni trigonal pyramid. In the eleventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+3.67+, and one Ni+2.50+ atom. In the twelfth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+3.67+, and one Ni+2.50+ atom. In the thirteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Mn+3.67+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+3.67+, and one Ni+2.50+ atom. In the fifteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+3.67+, and one Ni+2.50+ atom. In the sixteenth O2- site, O2- is bonded to one Li1+, two Mn+3.67+, and one Ni+2.50+ atom to form distorted OLiMn2Ni trigonal pyramids that share a cornercorner with one OLiMn3 tetrahedra and corners with six OLiMn2Ni trigonal pyramids. In the seventeenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+3.67+, and one Ni+2.50+ atom. In the eighteenth O2- site, O2- is bonded to one Li1+ and three Mn+3.67+ atoms to form distorted OLiMn3 trigonal pyramids that share a cornercorner with one OLiMn2Ni tetrahedra, corners with five OLiMn3 trigonal pyramids, and an edgeedge with one OLiMn2Ni trigonal pyramid. In the nineteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+3.67+, and one Ni+2.50+ atom. In the twentieth O2- site, O2- is bonded to one Li1+, two Mn+3.67+, and one Ni+2.50+ atom to form distorted OLiMn2Ni trigonal pyramids that share a cornercorner with one OLiMn3 tetrahedra, corners with five OLiMn2Ni trigonal pyramids, and an edgeedge with one OLiMn3 trigonal pyramid. In the twenty-first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Mn+3.67+ atoms. In the twenty-second O2- site, O2- is bonded to one Li1+, two Mn+3.67+, and one Ni+2.50+ atom to form distorted OLiMn2Ni trigonal pyramids that share corners with three OLiMn2Ni tetrahedra, corners with three OLiMn2Ni trigonal pyramids, and edges with three OLiMn3 trigonal pyramids. In the twenty-third O2- site, O2- is bonded to one Li1+, two Mn+3.67+, and one Ni+2.50+ atom to form a

36 MATERIALS SCIENCE↗

Materials Data on Li2TiMn3O8 by Materials Project

Li2TiMn3O8 is Hausmannite-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three TiO6 octahedra and corners with nine MnO6 octahedra. The corner-sharing octahedra tilt angles range from 53–65°. There are a spread of Li–O bond distances ranging from 1.96–2.06 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 MnO6 octahedra. The corner-sharing octahedra tilt angles range from 51–67°. There are a spread of Li–O bond distances ranging from 1.99–2.09 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 MnO6 octahedra. The corner-sharing octahedra tilt angles range from 49–66°. There are a spread of Li–O bond distances ranging from 1.98–2.12 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 MnO6 octahedra. The corner-sharing octahedra tilt angles range from 56–64°. There are a spread of Li–O bond distances ranging from 2.01–2.04 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 MnO6 octahedra. The corner-sharing octahedra tilt angles range from 55–62°. There are a spread of Li–O bond distances ranging from 1.97–2.04 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 MnO6 octahedra. The corner-sharing octahedra tilt angles range from 50–66°. There are a spread of Li–O bond distances ranging from 1.97–2.06 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 MnO6 octahedra. The corner-sharing octahedra tilt angles range from 55–64°. There are a spread of Li–O bond distances ranging from 1.95–2.05 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 MnO6 octahedra. The corner-sharing octahedra tilt angles range from 54–64°. There are a spread of Li–O bond distances ranging from 1.99–2.04 Å. There are four inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.89–2.06 Å. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.86–2.11 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 MnO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.88–2.10 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 MnO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.88–2.06 Å. There are twelve inequivalent Mn+3.33+ sites. In the first Mn+3.33+ site, Mn+3.33+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, edges with two TiO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.91–1.98 Å. In the second Mn+3.33+ site, Mn+3.33+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, edges with two TiO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.93–2.29 Å. In the third Mn+3.33+ site, Mn+3.33+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, edges with two TiO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.92–2.18 Å. In the fourth Mn+3.33+ site, Mn+3.33+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, edges with two TiO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.95–2.21 Å. In the fifth Mn+3.33+ site, Mn+3.33+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, edges with two TiO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.94–2.27 Å. In the sixth Mn+3.33+ site, Mn+3.33+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, edges with two TiO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.95–2.23 Å. In the seventh Mn+3.33+ site, Mn+3.33+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, edges with two TiO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.92–1.97 Å. In the eighth Mn+3.33+ site, Mn+3.33+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, edges with two TiO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.93–2.27 Å. In the ninth Mn+3.33+ site, Mn+3.33+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, edges with two TiO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.93–2.00 Å. In the tenth Mn+3.33+ site, Mn+3.33+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, edges with two TiO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.94–2.18 Å. In the eleventh Mn+3.33+ site, Mn+3.33+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, edges with two TiO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.96–2.28 Å. In the twelfth Mn+3.33+ site, Mn+3.33+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, edges with two TiO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.91–1.97 Å. There are thirty-two inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Ti4+, and two Mn+3.33+ atoms. In the second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Ti4+, and two Mn+3.33+ atoms. In the third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Mn+3.33+ atoms. In the fourth O2- site, O2- is bonded to one Li1+, one Ti4+, and two Mn+3.33+ atoms to form distorted OLiTiMn2 trigonal pyramids that share corners with two OLiMn3 tetrahedra, corners with two OLiTiMn2 trigonal pyramids, and an edgeedge with one OLiMn3 trigonal pyramid. In the fifth O2- site, O2- is bonded to one Li1+, one Ti4+, and two Mn+3.33+ atoms to form distorted OLiTiMn2 tetrahedra that share a cornercorner with one OLiMn3 tetrahedra and corners with four OLiTiMn2 trigonal pyramids. In the sixth O2- site, O2- is bonded to one Li1+ and three Mn+3.33+ atoms to form distorted OLiMn3 trigonal pyramids that share corners with three OLiMn3 tetrahedra, a cornercorner with one OLiTiMn2 trigonal pyramid, and an edgeedge with one OLiTiMn2 trigonal pyramid. In the seventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Ti4+, and two Mn+3.33+ atoms. In the eighth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Ti4+, and two Mn+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 Mn+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 Mn+3.33+ atoms. In the eleventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Mn+3.33+ atoms. In the twelfth O2- site, O2- is bonded to one Li1+, one Ti4+, and two Mn+3.33+ atoms to form distorted OLiTiMn2 trigonal pyramids that share a cornercorner with one OLiTiMn2 tetrahedra, corners with four OLiTiMn2 trigonal pyramids, and an edgeedge with one OLiMn3 tetrahedra. In the thirteenth O2- site, O2- is bonded to one Li1+, one Ti4+, and two Mn+3.33+ atoms to form distorted OLiTiMn2 trigonal pyramids that share corners with two OLiMn3 tetrahedra and corners with five OLiTiMn2 trigonal pyramids. In the fourteenth O2- site, O2- is bonded to one Li1+ and three Mn+3.33+ atoms to form a mixture of distorted edge and corner-sharing OLiMn3 tetrahedra. In the fifteenth O2- site, O2- is bonded to one Li1+, one Ti4+, and two Mn+3.33+ atoms to form distorted OLiTiMn2 trigonal pyramids that share corners with two OLiMn3 tetrahedra, corners with four OLiTiMn2 trigonal pyramids, and edges with two OLiMn3 trigonal pyramids. In the sixteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Ti4+, and two Mn+3.33+ atoms. In the seventeenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Ti4+, and two Mn+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 Mn+3.33+ atoms. In the nineteenth O2- site, O2- is bonded to one Li1+ and three Mn+3.33+ atoms to form distorted OLiMn3 trigonal pyramids that share corners with two OLiMn3 tetrahedra, corners with five OLiTiMn2 trigonal pyramids, and edges with two OLiTiMn2 trigonal pyramids. In the twentieth O2- site, O2- is bonded to one Li1+, one Ti4+, and two Mn+3.33+ atoms to form distorted OLiTiMn2 trigonal pyramids that share corners with two OLiMn3 tetrahedra, corners with four OLiTiMn2 trigonal pyramids, and an edgeedge with one OLiMn3 trigonal pyramid. In the twenty-first O2- site, O2- is bonded to one Li1+, one Ti4+, and two Mn+3.33+ atoms to form distorted OLiTiMn2 trigonal pyramids that share a cornercorner with one OLiMn3 tetrahedra, corners with five OLiTiMn2 trigonal pyramids, and edges with two OLiMn3 trigonal pyramids. In the twenty-second O2- site, O2- is bonded to one Li1+ and three Mn+3.33+ atoms to form distorted OLiMn3 trigonal pyramids that share corners with two OLiMn3 tetrahedra, corners with five OLiTiMn2 trigonal pyramids, and an edgeedge with one OLiTiMn2 trigonal pyramid. In the twenty-third O2- site, O2- is bonded to one Li1+, one Ti4+, and two Mn+3.33+ atoms to form distorted OLiTiMn2 trigonal pyramids that share a cornercorner with one OLiTiMn2 tetrahedra, corners with five OLiTiMn2 trigonal pyramids, edges with two OLiMn3 tetrahedra, and an edgeedge with one OLiTiMn2 trigonal pyramid. In the twenty-fourth O2- site, O2- is bonded to one Li1+, one Ti4+, and two Mn+3.33+ atoms to form distorted OLiTiMn2 trigonal pyramids that share corners with four OLiTiMn2 trigonal pyramids, edges with two OLiMn3 tetrahedra, and an edgeedge with one OLiTiMn2 trigonal pyramid. In the twenty-fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Ti4+, and two Mn+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 Mn+3.33+ atoms. In the twenty-seventh O2- site, O2- is bonded to one Li1+ and three Mn+3.33+ atoms to form distorted OLiMn3 tetrahed

36 MATERIALS SCIENCE↗

Materials Data on Li4V3Cr2Sn3O16 by Materials Project

Li4V3Cr2Sn3O16 is Spinel-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are four inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three equivalent CrO6 octahedra, corners with four SnO6 octahedra, and corners with five VO6 octahedra. The corner-sharing octahedra tilt angles range from 54–65°. There are a spread of Li–O bond distances ranging from 2.00–2.14 Å. In the second Li1+ site, Li1+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.77–2.09 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one VO6 octahedra, corners with two SnO6 octahedra, corners with three equivalent CrO6 octahedra, an edgeedge with one SnO6 octahedra, and edges with two VO6 octahedra. The corner-sharing octahedra tilt angles range from 60–66°. There are a spread of Li–O bond distances ranging from 1.78–2.03 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three equivalent CrO6 octahedra, corners with four VO6 octahedra, and corners with five SnO6 octahedra. The corner-sharing octahedra tilt angles range from 53–63°. There are a spread of Li–O bond distances ranging from 1.98–2.04 Å. There are three inequivalent V5+ sites. In the first V5+ site, V5+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two equivalent CrO6 octahedra, corners with four LiO4 tetrahedra, an edgeedge with one CrO6 octahedra, and edges with four SnO6 octahedra. The corner-sharing octahedra tilt angles range from 49–50°. There are a spread of V–O bond distances ranging from 2.04–2.09 Å. In the second V5+ site, V5+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two equivalent CrO6 octahedra, corners with three LiO4 tetrahedra, an edgeedge with one CrO6 octahedra, edges with two equivalent VO6 octahedra, edges with two equivalent SnO6 octahedra, and an edgeedge with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 49–55°. There are a spread of V–O bond distances ranging from 2.02–2.12 Å. In the third V5+ site, V5+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two equivalent CrO6 octahedra, corners with three LiO4 tetrahedra, an edgeedge with one CrO6 octahedra, edges with two equivalent VO6 octahedra, edges with two equivalent SnO6 octahedra, and an edgeedge with one LiO4 tetrahedra. The corner-sharing octahedral tilt angles are 49°. There are a spread of V–O bond distances ranging from 1.91–2.04 Å. There are two inequivalent Cr+2.50+ sites. In the first Cr+2.50+ site, Cr+2.50+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with two equivalent SnO6 octahedra, corners with four VO6 octahedra, corners with six LiO4 tetrahedra, an edgeedge with one VO6 octahedra, and edges with two SnO6 octahedra. The corner-sharing octahedra tilt angles range from 49–55°. There are a spread of Cr–O bond distances ranging from 2.07–2.14 Å. In the second Cr+2.50+ site, Cr+2.50+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with two equivalent VO6 octahedra, corners with four SnO6 octahedra, corners with three equivalent LiO4 tetrahedra, an edgeedge with one SnO6 octahedra, and edges with two VO6 octahedra. The corner-sharing octahedra tilt angles range from 49–53°. There are a spread of Cr–O bond distances ranging from 2.05–2.12 Å. There are three inequivalent Sn+2.67+ sites. In the first Sn+2.67+ site, Sn+2.67+ is bonded to six O2- atoms to form SnO6 octahedra that share corners with two equivalent CrO6 octahedra, corners with four LiO4 tetrahedra, an edgeedge with one CrO6 octahedra, edges with two equivalent VO6 octahedra, and edges with two equivalent SnO6 octahedra. The corner-sharing octahedra tilt angles range from 52–53°. There are a spread of Sn–O bond distances ranging from 2.05–2.11 Å. In the second Sn+2.67+ site, Sn+2.67+ is bonded to six O2- atoms to form SnO6 octahedra that share corners with two equivalent CrO6 octahedra, corners with four LiO4 tetrahedra, an edgeedge with one CrO6 octahedra, edges with two equivalent VO6 octahedra, and edges with two equivalent SnO6 octahedra. The corner-sharing octahedra tilt angles range from 52–53°. There are a spread of Sn–O bond distances ranging from 2.05–2.11 Å. In the third Sn+2.67+ site, Sn+2.67+ is bonded to six O2- atoms to form SnO6 octahedra that share corners with two equivalent CrO6 octahedra, corners with three LiO4 tetrahedra, an edgeedge with one CrO6 octahedra, edges with four VO6 octahedra, and an edgeedge with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 54–55°. There are a spread of Sn–O bond distances ranging from 2.05–2.14 Å. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one V5+, one Cr+2.50+, and one Sn+2.67+ atom. In the second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Cr+2.50+, and two Sn+2.67+ atoms. In the third O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one V5+, and two Sn+2.67+ atoms. In the fourth O2- site, O2- is bonded to one Li1+, one V5+, and two Sn+2.67+ atoms to form distorted corner-sharing OLiVSn2 tetrahedra. In the fifth O2- site, O2- is bonded to one Li1+, two V5+, and one Sn+2.67+ atom to form a mixture of distorted edge and corner-sharing OLiV2Sn tetrahedra. In the sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one V5+, one Cr+2.50+, and one Sn+2.67+ atom. In the seventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one V5+, one Cr+2.50+, and one Sn+2.67+ atom. In the eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one V5+, one Cr+2.50+, and one Sn+2.67+ atom. In the ninth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Cr+2.50+, and two Sn+2.67+ atoms. In the tenth O2- site, O2- is bonded to one Li1+, two V5+, and one Cr+2.50+ atom to form distorted OLiV2Cr trigonal pyramids that share corners with three OLiVSn2 tetrahedra and an edgeedge with one OLiV2Sn tetrahedra. In the eleventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one V5+, one Cr+2.50+, and one Sn+2.67+ atom. In the twelfth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one V5+, one Cr+2.50+, and one Sn+2.67+ atom. In the thirteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, two V5+, and one Sn+2.67+ atom. In the fourteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one V5+, one Cr+2.50+, and one Sn+2.67+ atom. In the fifteenth O2- site, O2- is bonded to one Li1+, two V5+, and one Cr+2.50+ atom to form distorted OLiV2Cr tetrahedra that share corners with two equivalent OLiV2Sn tetrahedra and corners with two equivalent OLiV2Cr trigonal pyramids. In the sixteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one V5+, one Cr+2.50+, and one Sn+2.67+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li8Mn7Fe(BO3)8 by Materials Project

Li8Mn7Fe(BO3)8 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 two LiO4 tetrahedra, 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 second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two LiO4 tetrahedra, a cornercorner with one FeO5 trigonal bipyramid, corners with three MnO5 trigonal bipyramids, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.94–2.05 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two LiO4 tetrahedra, a cornercorner with one FeO5 trigonal bipyramid, corners with three MnO5 trigonal bipyramids, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.95–2.09 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with four MnO5 trigonal bipyramids, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.95–2.11 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two LiO4 tetrahedra, 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 1.92–2.05 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with two MnO5 trigonal bipyramids, corners with two equivalent FeO5 trigonal bipyramids, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.91–2.05 Å. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two LiO4 tetrahedra, 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 1.95–2.08 Å. In the eighth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two LiO4 tetrahedra, 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 1.96–2.08 Å. There are seven inequivalent Mn2+ sites. In the first Mn2+ site, Mn2+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with four LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.10–2.29 Å. In the second Mn2+ site, Mn2+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with four LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, an edgeedge with one MnO5 trigonal bipyramid, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Mn–O bond distances ranging from 2.09–2.31 Å. In the third Mn2+ site, Mn2+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with four LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.09–2.30 Å. In the fourth Mn2+ site, Mn2+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with four LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.10–2.29 Å. In the fifth Mn2+ site, Mn2+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with four LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.09–2.29 Å. In the sixth Mn2+ site, Mn2+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with four LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.09–2.32 Å. In the seventh Mn2+ site, Mn2+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with four LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, an edgeedge with one MnO5 trigonal bipyramid, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Mn–O bond distances ranging from 2.09–2.32 Å. Fe2+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share corners with four LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two MnO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 2.03–2.27 Å. There are eight inequivalent B3+ sites. In the first B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.38 Å) and two longer (1.40 Å) B–O bond length. In the second B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.39 Å) and two longer (1.40 Å) B–O bond length. In the third B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.38 Å) and two longer (1.40 Å) B–O bond length. 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 1.38–1.41 Å. In the fifth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.39 Å) and two longer (1.40 Å) B–O bond length. In the sixth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.39 Å) and two longer (1.40 Å) B–O bond length. In the seventh B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.39 Å) and two longer (1.40 Å) B–O bond length. In the eighth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.38 Å) and two longer (1.40 Å) B–O bond length. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, one Mn2+, one Fe2+, and one B3+ atom. In the second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Mn2+, and one B3+ atom. In the third O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn2+, and one B3+ atom. In the fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn2+, and one B3+ atom. In the fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Mn2+, and one B3+ atom. In the sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Mn2+, one Fe2+, and one B3+ atom. In the seventh O2- site, O2- is bonded to two Li1+, one Mn2+, and one B3+ atom to form distorted corner-sharing OLi2MnB trigonal pyramids. In the eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn2+, and one B3+ atom. In the ninth O2- site, O2- is bonded to one Li1+, two Mn2+, and one B3+ atom to form distorted corner-sharing OLiMn2B tetrahedra. In the tenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Mn2+, one Fe2+, and one B3+ atom. In the eleventh O2- site, O2- is bonded to two Li1+, one Fe2+, and one B3+ atom to form distorted corner-sharing OLi2FeB trigonal pyramids. In the twelfth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn2+, and one B3+ atom. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn2+, and one B3+ atom. In the fourteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Mn2+, and one B3+ atom. In the fifteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn2+, and one B3+ atom. In the sixteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn2+, and one B3+ atom. In the seventeenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Mn2+, and one B3+ atom. In the eighteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn2+, and one B3+ atom. In the nineteenth O2- site, O2- is bonded to one Li1+, one Mn2+, one Fe2+, and one B3+ atom to form distorted corner-sharing OLiMnFeB tetrahedra. In the twentieth O2- site, O2- is bonded to two Li1+, one Mn2+, and one B3+ atom to form distorted corner-sharing OLi2MnB trigonal pyramids. In the twenty-first O2- site, O2- is bonded to one Li1+, two Mn2+, and one B3+ atom to form distorted corner-sharing OLiMn2B tetrahedra. In the twenty-second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn2+, and one B3+ atom. In the twenty-third O2- site, O2- is bonded to two Li1+, one Mn2+, and one B3+ atom to form distorted corner-sharing OLi2MnB trigonal pyramids. In the twenty-fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn2+, and one B3+ atom.

36 MATERIALS SCIENCE↗