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Materials Data on Li4Ti3Cr2Co3O16 by Materials Project

Li4Ti3Cr2Co3O16 is Spinel-derived structured and crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are four inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three equivalent CrO6 octahedra, corners with four TiO6 octahedra, and corners with five CoO6 octahedra. The corner-sharing octahedra tilt angles range from 56–64°. There are a spread of Li–O bond distances ranging from 1.94–2.06 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 1.79–2.06 Å. In the third 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 1.80–1.97 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three equivalent CrO6 octahedra, corners with four CoO6 octahedra, and corners with five TiO6 octahedra. The corner-sharing octahedra tilt angles range from 53–62°. There are a spread of Li–O bond distances ranging from 1.95–1.98 Å. There are two inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two equivalent CrO6 octahedra, corners with three LiO4 tetrahedra, an edgeedge with one CrO6 octahedra, edges with two equivalent TiO6 octahedra, and edges with two equivalent CoO6 octahedra. The corner-sharing octahedra tilt angles range from 50–51°. There are a spread of Ti–O bond distances ranging from 1.96–2.00 Å. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two equivalent CrO6 octahedra, corners with three LiO4 tetrahedra, an edgeedge with one CrO6 octahedra, and edges with four equivalent CoO6 octahedra. The corner-sharing octahedral tilt angles are 50°. There are a spread of Ti–O bond distances ranging from 1.95–2.02 Å. There are two inequivalent Cr+4.50+ sites. In the first Cr+4.50+ site, Cr+4.50+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with two equivalent TiO6 octahedra, corners with four equivalent CoO6 octahedra, corners with three equivalent LiO4 tetrahedra, an edgeedge with one CoO6 octahedra, and edges with two equivalent TiO6 octahedra. The corner-sharing octahedra tilt angles range from 50–52°. There are a spread of Cr–O bond distances ranging from 2.02–2.05 Å. In the second Cr+4.50+ site, Cr+4.50+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with two equivalent CoO6 octahedra, corners with four equivalent TiO6 octahedra, corners with three equivalent LiO4 tetrahedra, an edgeedge with one TiO6 octahedra, and edges with two equivalent CoO6 octahedra. The corner-sharing octahedra tilt angles range from 50–52°. There are a spread of Cr–O bond distances ranging from 2.02–2.10 Å. There are two inequivalent Co+2.33+ sites. In the first Co+2.33+ site, Co+2.33+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with two equivalent CrO6 octahedra, corners with three LiO4 tetrahedra, an edgeedge with one CrO6 octahedra, and edges with four equivalent TiO6 octahedra. The corner-sharing octahedral tilt angles are 52°. There are a spread of Co–O bond distances ranging from 1.91–2.04 Å. In the second Co+2.33+ site, Co+2.33+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with two equivalent CrO6 octahedra, corners with three LiO4 tetrahedra, an edgeedge with one CrO6 octahedra, edges with two equivalent TiO6 octahedra, and edges with two equivalent CoO6 octahedra. The corner-sharing octahedra tilt angles range from 51–52°. There are a spread of Co–O bond distances ranging from 1.95–2.08 Å. There are twelve inequivalent O2- sites. In the first O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Ti4+, one Cr+4.50+, and one Co+2.33+ atom. In the second O2- site, O2- is bonded to one Li1+, two equivalent Ti4+, and one Cr+4.50+ atom to form distorted OLiTi2Cr tetrahedra that share corners with four OLiTi2Co tetrahedra, a cornercorner with one OLiCrCo2 trigonal pyramid, edges with two equivalent OLiTiCrCo tetrahedra, and an edgeedge with one OLiTi2Co trigonal pyramid. In the third O2- site, O2- is bonded to one Li1+, two equivalent Ti4+, and one Co+2.33+ atom to form distorted OLiTi2Co trigonal pyramids that share corners with four OLiCrCo2 tetrahedra and edges with three OLiTi2Cr tetrahedra. In the fourth O2- site, O2- is bonded to one Li1+, two equivalent Ti4+, and one Co+2.33+ atom to form distorted OLiTi2Co tetrahedra that share corners with six OLiTi2Cr tetrahedra and corners with four OLiCrCo2 trigonal pyramids. In the fifth O2- site, O2- is bonded to one Li1+, one Ti4+, and two equivalent Co+2.33+ atoms to form a mixture of distorted edge and corner-sharing OLiTiCo2 tetrahedra. In the sixth O2- site, O2- is bonded to one Li1+, one Ti4+, one Cr+4.50+, and one Co+2.33+ atom to form distorted OLiTiCrCo tetrahedra that share corners with four OLiTi2Cr tetrahedra, a cornercorner with one OLiCrCo2 trigonal pyramid, edges with two OLiTi2Cr tetrahedra, and an edgeedge with one OLiTi2Co trigonal pyramid. In the seventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, two equivalent Ti4+, and one Cr+4.50+ atom. In the eighth O2- site, O2- is bonded to one Li1+, one Cr+4.50+, and two equivalent Co+2.33+ atoms to form distorted OLiCrCo2 trigonal pyramids that share corners with six OLiCrCo2 tetrahedra and an edgeedge with one OLiTiCo2 tetrahedra. In the ninth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Ti4+, one Cr+4.50+, and one Co+2.33+ atom. In the tenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Ti4+, and two equivalent Co+2.33+ atoms. In the eleventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Ti4+, one Cr+4.50+, and one Co+2.33+ atom. In the twelfth O2- site, O2- is bonded to one Li1+, one Cr+4.50+, and two equivalent Co+2.33+ atoms to form distorted OLiCrCo2 tetrahedra that share corners with two equivalent OLiTiCo2 tetrahedra and corners with three OLiCrCo2 trigonal pyramids.

36 MATERIALS SCIENCE↗

Materials Data on Li4Ti3Cr2Fe3O16 by Materials Project

Li4Ti3Cr2Fe3O16 is Spinel-derived structured and crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are four inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three equivalent CrO6 octahedra, corners with four TiO6 octahedra, and corners with five FeO6 octahedra. The corner-sharing octahedra tilt angles range from 56–64°. There are a spread of Li–O bond distances ranging from 1.97–2.04 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 1.79–2.03 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 trigonal pyramids that share a cornercorner with one FeO6 octahedra, corners with two equivalent TiO6 octahedra, corners with three equivalent CrO6 octahedra, an edgeedge with one TiO6 octahedra, and edges with two equivalent FeO6 octahedra. The corner-sharing octahedra tilt angles range from 60–64°. There are a spread of Li–O bond distances ranging from 1.78–1.98 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 FeO6 octahedra, and corners with five TiO6 octahedra. The corner-sharing octahedra tilt angles range from 56–64°. There is one shorter (1.99 Å) and three longer (2.00 Å) Li–O bond length. There are two inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two equivalent CrO6 octahedra, corners with three LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one CrO6 octahedra, edges with two equivalent TiO6 octahedra, and edges with two equivalent FeO6 octahedra. The corner-sharing octahedra tilt angles range from 49–51°. There are a spread of Ti–O bond distances ranging from 1.96–2.01 Å. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two equivalent CrO6 octahedra, corners with three LiO4 tetrahedra, an edgeedge with one CrO6 octahedra, edges with four equivalent FeO6 octahedra, and an edgeedge with one LiO4 trigonal pyramid. The corner-sharing octahedral tilt angles are 49°. There are a spread of Ti–O bond distances ranging from 1.97–2.00 Å. There are two inequivalent Cr+3.50+ sites. In the first Cr+3.50+ site, Cr+3.50+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with two equivalent TiO6 octahedra, corners with four equivalent FeO6 octahedra, corners with three equivalent LiO4 tetrahedra, corners with three equivalent LiO4 trigonal pyramids, an edgeedge with one FeO6 octahedra, and edges with two equivalent TiO6 octahedra. The corner-sharing octahedra tilt angles range from 49–53°. There are a spread of Cr–O bond distances ranging from 2.04–2.07 Å. In the second Cr+3.50+ site, Cr+3.50+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with four equivalent TiO6 octahedra, corners with three equivalent LiO4 tetrahedra, an edgeedge with one TiO6 octahedra, and edges with two equivalent FeO6 octahedra. The corner-sharing octahedra tilt angles range from 49–53°. There are a spread of Cr–O bond distances ranging from 2.02–2.13 Å. There are two inequivalent Fe3+ sites. In the first Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two equivalent CrO6 octahedra, corners with three LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one CrO6 octahedra, and edges with four equivalent TiO6 octahedra. The corner-sharing octahedral tilt angles are 53°. There are a spread of Fe–O bond distances ranging from 1.99–2.07 Å. In the second Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two equivalent CrO6 octahedra, corners with three LiO4 tetrahedra, an edgeedge with one CrO6 octahedra, edges with two equivalent TiO6 octahedra, edges with two equivalent FeO6 octahedra, and an edgeedge with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 51–53°. There are a spread of Fe–O bond distances ranging from 1.97–2.07 Å. There are twelve inequivalent O2- sites. In the first O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Ti4+, one Cr+3.50+, and one Fe3+ atom. In the second O2- site, O2- is bonded to one Li1+, two equivalent Ti4+, and one Cr+3.50+ atom to form distorted OLiTi2Cr tetrahedra that share corners with four OLiTi2Fe tetrahedra, a cornercorner with one OLiTiFe2 trigonal pyramid, and edges with two equivalent OLiTiCrFe tetrahedra. In the third O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, two equivalent Ti4+, and one Fe3+ atom. In the fourth O2- site, O2- is bonded to one Li1+, two equivalent Ti4+, and one Fe3+ atom to form distorted corner-sharing OLiTi2Fe tetrahedra. In the fifth O2- site, O2- is bonded to one Li1+, one Ti4+, and two equivalent Fe3+ atoms to form distorted corner-sharing OLiTiFe2 tetrahedra. In the sixth O2- site, O2- is bonded to one Li1+, one Ti4+, one Cr+3.50+, and one Fe3+ atom to form distorted OLiTiCrFe tetrahedra that share corners with four OLiTi2Cr tetrahedra, a cornercorner with one OLiTiFe2 trigonal pyramid, and edges with two OLiTi2Cr tetrahedra. In the seventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two equivalent Ti4+, and one Cr+3.50+ atom. In the eighth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Cr+3.50+, and two equivalent Fe3+ atoms. In the ninth O2- site, O2- is bonded to one Li1+, one Ti4+, one Cr+3.50+, and one Fe3+ atom to form distorted OLiTiCrFe trigonal pyramids that share corners with two equivalent OLiTiFe2 tetrahedra, a cornercorner with one OLiTiCrFe trigonal pyramid, and edges with two OLiTiCrFe trigonal pyramids. In the tenth O2- site, O2- is bonded to one Li1+, one Ti4+, and two equivalent Fe3+ atoms to form distorted OLiTiFe2 trigonal pyramids that share corners with six OLiTi2Cr tetrahedra and edges with two equivalent OLiTiCrFe trigonal pyramids. In the eleventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Ti4+, one Cr+3.50+, and one Fe3+ atom. In the twelfth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Cr+3.50+, and two equivalent Fe3+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Mn3Cr2Te3O16 by Materials Project

Cr2Mn3Te3O16 is beta Vanadium nitride-derived structured and crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are two inequivalent Cr+4.50+ sites. In the first Cr+4.50+ site, Cr+4.50+ is bonded to six O2- atoms to form distorted CrO6 octahedra that share corners with two equivalent TeO6 octahedra, corners with four equivalent MnO6 octahedra, an edgeedge with one MnO6 octahedra, and edges with two equivalent TeO6 octahedra. The corner-sharing octahedra tilt angles range from 50–55°. There are a spread of Cr–O bond distances ranging from 1.95–2.12 Å. In the second Cr+4.50+ site, Cr+4.50+ is bonded to six O2- atoms to form distorted CrO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with four equivalent TeO6 octahedra, an edgeedge with one TeO6 octahedra, and edges with two equivalent MnO6 octahedra. The corner-sharing octahedra tilt angles range from 50–56°. There are a spread of Cr–O bond distances ranging from 1.93–2.51 Å. There are two 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 two equivalent CrO6 octahedra, an edgeedge with one CrO6 octahedra, and edges with four equivalent TeO6 octahedra. The corner-sharing octahedral tilt angles are 56°. There are a spread of Mn–O bond distances ranging from 2.16–2.26 Å. In the second Mn+3.67+ site, Mn+3.67+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with two equivalent CrO6 octahedra, an edgeedge with one CrO6 octahedra, edges with two equivalent MnO6 octahedra, and edges with two equivalent TeO6 octahedra. The corner-sharing octahedra tilt angles range from 52–55°. There are a spread of Mn–O bond distances ranging from 1.96–2.30 Å. There are two inequivalent Te4+ sites. In the first Te4+ site, Te4+ is bonded to six O2- atoms to form TeO6 octahedra that share corners with two equivalent CrO6 octahedra, an edgeedge with one CrO6 octahedra, edges with two equivalent MnO6 octahedra, and edges with two equivalent TeO6 octahedra. The corner-sharing octahedra tilt angles range from 50–51°. There are a spread of Te–O bond distances ranging from 1.90–2.04 Å. In the second Te4+ site, Te4+ is bonded to six O2- atoms to form TeO6 octahedra that share corners with two equivalent CrO6 octahedra, an edgeedge with one CrO6 octahedra, and edges with four equivalent MnO6 octahedra. The corner-sharing octahedral tilt angles are 50°. There are a spread of Te–O bond distances ranging from 1.95–2.01 Å. There are twelve inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal planar geometry to one Cr+4.50+, one Mn+3.67+, and one Te4+ atom. In the second O2- site, O2- is bonded in a distorted T-shaped geometry to one Cr+4.50+ and two equivalent Te4+ atoms. In the third O2- site, O2- is bonded in a 3-coordinate geometry to one Mn+3.67+ and two equivalent Te4+ atoms. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Mn+3.67+ and two equivalent Te4+ atoms. In the fifth O2- site, O2- is bonded in a trigonal non-coplanar geometry to two equivalent Mn+3.67+ and one Te4+ atom. In the sixth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Cr+4.50+, one Mn+3.67+, and one Te4+ atom. In the seventh O2- site, O2- is bonded in a 3-coordinate geometry to one Cr+4.50+ and two equivalent Te4+ atoms. In the eighth O2- site, O2- is bonded in a trigonal planar geometry to one Cr+4.50+ and two equivalent Mn+3.67+ atoms. In the ninth O2- site, O2- is bonded in a 3-coordinate geometry to one Cr+4.50+, one Mn+3.67+, and one Te4+ atom. In the tenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two equivalent Mn+3.67+ and one Te4+ atom. In the eleventh O2- site, O2- is bonded in a distorted trigonal planar geometry to one Cr+4.50+, one Mn+3.67+, and one Te4+ atom. In the twelfth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Cr+4.50+ and two equivalent Mn+3.67+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Li4Cr2Fe3Sn3O16 by Materials Project

Li4Cr2Fe3Sn3O16 is Spinel-derived structured and crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are four inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three equivalent CrO6 octahedra, corners with four SnO6 octahedra, and corners with five FeO6 octahedra. The corner-sharing octahedra tilt angles range from 52–64°. There are a spread of Li–O bond distances ranging from 2.02–2.06 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 trigonal pyramids that share a cornercorner with one SnO6 octahedra, corners with two equivalent FeO6 octahedra, corners with three equivalent CrO6 octahedra, an edgeedge with one FeO6 octahedra, and edges with two equivalent SnO6 octahedra. The corner-sharing octahedra tilt angles range from 58–64°. There are a spread of Li–O bond distances ranging from 1.79–2.11 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one FeO6 octahedra, corners with two equivalent SnO6 octahedra, corners with three equivalent CrO6 octahedra, an edgeedge with one SnO6 octahedra, and edges with two equivalent FeO6 octahedra. The corner-sharing octahedra tilt angles range from 57–63°. There are a spread of Li–O bond distances ranging from 1.79–2.03 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 FeO6 octahedra, and corners with five SnO6 octahedra. The corner-sharing octahedra tilt angles range from 54–63°. There are a spread of Li–O bond distances ranging from 2.00–2.05 Å. There are two inequivalent Cr+3.50+ sites. In the first Cr+3.50+ site, Cr+3.50+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with two equivalent SnO6 octahedra, corners with four equivalent FeO6 octahedra, corners with six LiO4 tetrahedra, an edgeedge with one FeO6 octahedra, and edges with two equivalent SnO6 octahedra. The corner-sharing octahedra tilt angles range from 51–53°. There are a spread of Cr–O bond distances ranging from 2.05–2.10 Å. In the second Cr+3.50+ site, Cr+3.50+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with four equivalent SnO6 octahedra, corners with three equivalent LiO4 tetrahedra, corners with three equivalent LiO4 trigonal pyramids, an edgeedge with one SnO6 octahedra, and edges with two equivalent FeO6 octahedra. The corner-sharing octahedra tilt angles range from 50–53°. There are a spread of Cr–O bond distances ranging from 2.03–2.14 Å. There are two inequivalent Fe3+ sites. In the first Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two equivalent CrO6 octahedra, corners with four LiO4 tetrahedra, an edgeedge with one CrO6 octahedra, edges with four equivalent SnO6 octahedra, and an edgeedge with one LiO4 trigonal pyramid. The corner-sharing octahedral tilt angles are 50°. There are a spread of Fe–O bond distances ranging from 2.01–2.08 Å. In the second Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two equivalent CrO6 octahedra, corners with three LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one CrO6 octahedra, edges with two equivalent FeO6 octahedra, edges with two equivalent SnO6 octahedra, and an edgeedge with one LiO4 tetrahedra. The corner-sharing octahedral tilt angles are 51°. There are a spread of Fe–O bond distances ranging from 1.99–2.10 Å. There are two inequivalent Sn4+ sites. In the first Sn4+ site, Sn4+ 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 FeO6 octahedra, edges with two equivalent SnO6 octahedra, and an edgeedge with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 52–53°. There are a spread of Sn–O bond distances ranging from 2.06–2.11 Å. In the second Sn4+ site, Sn4+ is bonded to six O2- atoms to form SnO6 octahedra that share corners with two equivalent CrO6 octahedra, corners with three LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one CrO6 octahedra, edges with four equivalent FeO6 octahedra, and an edgeedge with one LiO4 tetrahedra. The corner-sharing octahedral tilt angles are 53°. There are a spread of Sn–O bond distances ranging from 2.07–2.11 Å. There are twelve inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Cr+3.50+, one Fe3+, and one Sn4+ atom. In the second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Cr+3.50+, and two equivalent Sn4+ atoms. In the third O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Fe3+, and two equivalent Sn4+ atoms. In the fourth O2- site, O2- is bonded in a distorted tetrahedral geometry to one Li1+, one Fe3+, and two equivalent Sn4+ atoms. In the fifth O2- site, O2- is bonded in a distorted tetrahedral geometry to one Li1+, two equivalent Fe3+, and one Sn4+ atom. In the sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Cr+3.50+, one Fe3+, and one Sn4+ atom. In the seventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Cr+3.50+, and two equivalent Sn4+ atoms. In the eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Cr+3.50+, and two equivalent Fe3+ atoms. In the ninth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Cr+3.50+, one Fe3+, and one Sn4+ atom. In the tenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, two equivalent Fe3+, and one Sn4+ atom. In the eleventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Cr+3.50+, one Fe3+, and one Sn4+ atom. In the twelfth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Cr+3.50+, and two equivalent Fe3+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on La5Sm3V2Cr6O24 by Materials Project

Sm3La5V2Cr6O24 is (Cubic) Perovskite-derived structured and crystallizes in the orthorhombic Amm2 space group. The structure is three-dimensional. there are two inequivalent Sm3+ sites. In the first Sm3+ site, Sm3+ is bonded to twelve O2- atoms to form SmO12 cuboctahedra that share corners with four equivalent SmO12 cuboctahedra, corners with eight LaO12 cuboctahedra, faces with two equivalent SmO12 cuboctahedra, faces with four LaO12 cuboctahedra, faces with two equivalent VO6 octahedra, and faces with six CrO6 octahedra. There are a spread of Sm–O bond distances ranging from 2.74–2.78 Å. In the second Sm3+ site, Sm3+ is bonded to twelve O2- atoms to form SmO12 cuboctahedra that share corners with twelve LaO12 cuboctahedra, faces with two equivalent LaO12 cuboctahedra, faces with four equivalent SmO12 cuboctahedra, faces with two equivalent VO6 octahedra, and faces with six CrO6 octahedra. There are a spread of Sm–O bond distances ranging from 2.73–2.75 Å. There are four inequivalent La3+ sites. In the first La3+ site, La3+ is bonded to twelve O2- atoms to form LaO12 cuboctahedra that share corners with four equivalent SmO12 cuboctahedra, corners with eight LaO12 cuboctahedra, faces with two equivalent SmO12 cuboctahedra, faces with four LaO12 cuboctahedra, faces with two equivalent VO6 octahedra, and faces with six CrO6 octahedra. There are a spread of La–O bond distances ranging from 2.77–2.81 Å. In the second La3+ site, La3+ is bonded to twelve O2- atoms to form LaO12 cuboctahedra that share corners with four equivalent LaO12 cuboctahedra, corners with eight equivalent SmO12 cuboctahedra, faces with two equivalent SmO12 cuboctahedra, faces with four equivalent LaO12 cuboctahedra, faces with two equivalent VO6 octahedra, and faces with six CrO6 octahedra. There are a spread of La–O bond distances ranging from 2.76–2.80 Å. In the third La3+ site, La3+ is bonded to twelve O2- atoms to form LaO12 cuboctahedra that share corners with four equivalent LaO12 cuboctahedra, corners with eight equivalent SmO12 cuboctahedra, faces with six LaO12 cuboctahedra, faces with two equivalent VO6 octahedra, and faces with six CrO6 octahedra. There are a spread of La–O bond distances ranging from 2.76–2.79 Å. In the fourth La3+ site, La3+ is bonded to twelve O2- atoms to form LaO12 cuboctahedra that share corners with four equivalent SmO12 cuboctahedra, corners with eight equivalent LaO12 cuboctahedra, faces with two equivalent LaO12 cuboctahedra, faces with four equivalent SmO12 cuboctahedra, faces with two equivalent VO6 octahedra, and faces with six CrO6 octahedra. There are a spread of La–O bond distances ranging from 2.77–2.82 Å. V+3.50+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two equivalent VO6 octahedra, corners with four equivalent CrO6 octahedra, faces with three SmO12 cuboctahedra, and faces with five LaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of V–O bond distances ranging from 1.95–1.98 Å. There are two inequivalent Cr+2.83+ sites. In the first Cr+2.83+ site, Cr+2.83+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with two equivalent VO6 octahedra, corners with four CrO6 octahedra, faces with three SmO12 cuboctahedra, and faces with five LaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Cr–O bond distances ranging from 1.94–1.97 Å. In the second Cr+2.83+ site, Cr+2.83+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six CrO6 octahedra, faces with three SmO12 cuboctahedra, and faces with five LaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of Cr–O bond distances ranging from 1.95–1.97 Å. There are ten inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted linear geometry to four La3+ and two equivalent V+3.50+ atoms. In the second O2- site, O2- is bonded in a distorted linear geometry to four La3+ and two equivalent Cr+2.83+ atoms. In the third O2- site, O2- is bonded in a distorted linear geometry to four La3+ and two equivalent Cr+2.83+ atoms. In the fourth O2- site, O2- is bonded in a distorted linear geometry to three Sm3+, one La3+, and two equivalent V+3.50+ atoms. In the fifth O2- site, O2- is bonded in a distorted linear geometry to three Sm3+, one La3+, and two equivalent Cr+2.83+ atoms. In the sixth O2- site, O2- is bonded in a distorted linear geometry to three Sm3+, one La3+, and two equivalent Cr+2.83+ atoms. In the seventh O2- site, O2- is bonded in a distorted linear geometry to two Sm3+, two La3+, one V+3.50+, and one Cr+2.83+ atom. In the eighth O2- site, O2- is bonded in a distorted linear geometry to two Sm3+, two La3+, and two Cr+2.83+ atoms. In the ninth O2- site, O2- is bonded in a distorted linear geometry to one Sm3+, three La3+, one V+3.50+, and one Cr+2.83+ atom. In the tenth O2- site, O2- is bonded in a distorted linear geometry to one Sm3+, three La3+, and two Cr+2.83+ atoms.

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Materials Data on BaCr2PO11 by Materials Project

BaCr2PO11 crystallizes in the triclinic P-1 space group. The structure is two-dimensional and consists of one BaCr2PO11 sheet oriented in the (0, 0, 1) direction. Ba is bonded in a 10-coordinate geometry to ten O atoms. There are a spread of Ba–O bond distances ranging from 2.75–3.12 Å. There are two inequivalent Cr sites. In the first Cr site, Cr is bonded to four O atoms to form CrO4 tetrahedra that share a cornercorner with one PO4 tetrahedra. There are a spread of Cr–O bond distances ranging from 1.61–1.84 Å. In the second Cr site, Cr is bonded to four O atoms to form CrO4 tetrahedra that share a cornercorner with one PO4 tetrahedra. There are a spread of Cr–O bond distances ranging from 1.60–1.83 Å. P is bonded to four O atoms to form PO4 tetrahedra that share corners with two CrO4 tetrahedra. There is two shorter (1.53 Å) and two longer (1.56 Å) P–O bond length. There are eleven inequivalent O sites. In the first O site, O is bonded in a single-bond geometry to one Cr atom. In the second O site, O is bonded in a distorted single-bond geometry to two equivalent Ba and one Cr atom. In the third O site, O is bonded in a distorted single-bond geometry to one Ba and one Cr atom. In the fourth O site, O is bonded in a bent 150 degrees geometry to one Cr and one P atom. In the fifth O site, O is bonded in a single-bond geometry to one Ba and one P atom. In the sixth O site, O is bonded in a distorted single-bond geometry to two equivalent Ba and one P atom. In the seventh O site, O is bonded in a distorted bent 120 degrees geometry to one Cr and one P atom. In the eighth O site, O is bonded in a distorted single-bond geometry to two equivalent Ba and one Cr atom. In the ninth O site, O is bonded in a distorted single-bond geometry to one Ba and one Cr atom. In the tenth O site, O is bonded in a single-bond geometry to one Cr atom. In the eleventh O site, O is bonded in a single-bond geometry to one Ba atom.

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Materials Data on Rb2U2Cr2O15F2 by Materials Project

(RbUCrO7F)4O2 crystallizes in the monoclinic P2_1/c space group. The structure is three-dimensional and consists of two hydrogen peroxide molecules and one RbUCrO7F framework. In the RbUCrO7F framework, there are two inequivalent Rb sites. In the first Rb site, Rb is bonded in a 7-coordinate geometry to six O and one F atom. There are a spread of Rb–O bond distances ranging from 2.92–3.45 Å. The Rb–F bond length is 2.99 Å. In the second Rb site, Rb is bonded in a 8-coordinate geometry to seven O and one F atom. There are a spread of Rb–O bond distances ranging from 2.98–3.36 Å. The Rb–F bond length is 3.17 Å. There are two inequivalent U sites. In the first U site, U is bonded to five O and two F atoms to form UO5F2 pentagonal bipyramids that share corners with three CrO4 tetrahedra and an edgeedge with one UO5F2 pentagonal bipyramid. There are a spread of U–O bond distances ranging from 1.81–2.35 Å. Both U–F bond lengths are 2.37 Å. In the second U site, U is bonded to five O and two F atoms to form UO5F2 pentagonal bipyramids that share corners with three CrO4 tetrahedra and an edgeedge with one UO5F2 pentagonal bipyramid. There are a spread of U–O bond distances ranging from 1.82–2.36 Å. There are one shorter (2.34 Å) and one longer (2.37 Å) U–F bond lengths. There are two inequivalent Cr sites. In the first Cr site, Cr is bonded to four O atoms to form CrO4 tetrahedra that share corners with three UO5F2 pentagonal bipyramids. There are a spread of Cr–O bond distances ranging from 1.62–1.69 Å. In the second Cr site, Cr is bonded to four O atoms to form CrO4 tetrahedra that share corners with three UO5F2 pentagonal bipyramids. There are a spread of Cr–O bond distances ranging from 1.62–1.70 Å. There are fourteen inequivalent O sites. In the first O site, O is bonded in a distorted single-bond geometry to two equivalent Rb and one U atom. In the second O site, O is bonded in a single-bond geometry to one Rb and one U atom. In the third O site, O is bonded in a single-bond geometry to one Rb and one U atom. In the fourth O site, O is bonded in a distorted single-bond geometry to two equivalent Rb and one U atom. In the fifth O site, O is bonded in a 1-coordinate geometry to one Rb, one U, and one Cr atom. In the sixth O site, O is bonded in a bent 150 degrees geometry to one U and one Cr atom. In the seventh O site, O is bonded in a distorted linear geometry to one U and one Cr atom. In the eighth O site, O is bonded in a distorted single-bond geometry to two equivalent Rb and one Cr atom. In the ninth O site, O is bonded in a distorted bent 150 degrees geometry to one U and one Cr atom. In the tenth O site, O is bonded in a 1-coordinate geometry to one Rb, one U, and one Cr atom. In the eleventh O site, O is bonded in a distorted linear geometry to one U and one Cr atom. In the twelfth O site, O is bonded in a distorted single-bond geometry to two equivalent Rb and one Cr atom. In the thirteenth O site, O is bonded in a single-bond geometry to one O atom. The O–O bond length is 1.23 Å. In the fourteenth O site, O is bonded in a distorted bent 120 degrees geometry to one Rb and one O atom. There are two inequivalent F sites. In the first F site, F is bonded in a distorted trigonal non-coplanar geometry to one Rb and two U atoms. In the second F site, F is bonded in a trigonal non-coplanar geometry to one Rb and two U atoms.

36 MATERIALS SCIENCE↗

Materials Data on SrLa3Cr4O12 by Materials Project

SrLa3Cr4O12 is Orthorhombic Perovskite-derived structured and crystallizes in the monoclinic P2 space group. The structure is three-dimensional. Sr2+ is bonded in a 12-coordinate geometry to nine O2- atoms. There are a spread of Sr–O bond distances ranging from 2.51–2.84 Å. There are three inequivalent La3+ sites. In the first La3+ site, La3+ is bonded in a 3-coordinate geometry to nine O2- atoms. There are a spread of La–O bond distances ranging from 2.44–2.79 Å. In the second La3+ site, La3+ is bonded in a 3-coordinate geometry to nine O2- atoms. There are a spread of La–O bond distances ranging from 2.41–2.79 Å. In the third La3+ site, La3+ is bonded in a 3-coordinate geometry to nine O2- atoms. There are a spread of La–O bond distances ranging from 2.43–2.79 Å. There are two inequivalent Cr+3.25+ sites. In the first Cr+3.25+ site, Cr+3.25+ is bonded to six O2- atoms to form corner-sharing CrO6 octahedra. The corner-sharing octahedra tilt angles range from 15–22°. There are a spread of Cr–O bond distances ranging from 1.98–2.01 Å. In the second Cr+3.25+ site, Cr+3.25+ is bonded to six O2- atoms to form corner-sharing CrO6 octahedra. The corner-sharing octahedra tilt angles range from 15–22°. There are a spread of Cr–O bond distances ranging from 1.96–2.00 Å. There are eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a 5-coordinate geometry to three La3+ and two Cr+3.25+ atoms. In the second O2- site, O2- is bonded in a 5-coordinate geometry to one Sr2+, two La3+, and two Cr+3.25+ atoms. In the third O2- site, O2- is bonded in a 5-coordinate geometry to three La3+ and two equivalent Cr+3.25+ atoms. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Sr2+, two equivalent La3+, and two equivalent Cr+3.25+ atoms. In the fifth O2- site, O2- is bonded in a 5-coordinate geometry to one Sr2+, two La3+, and two Cr+3.25+ atoms. In the sixth O2- site, O2- is bonded in a 5-coordinate geometry to one Sr2+, two La3+, and two Cr+3.25+ atoms. In the seventh O2- site, O2- is bonded in a 5-coordinate geometry to two equivalent Sr2+, one La3+, and two equivalent Cr+3.25+ atoms. In the eighth O2- site, O2- is bonded in a 5-coordinate geometry to three La3+ and two equivalent Cr+3.25+ atoms.

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Materials Data on YbCrO5 by Materials Project

YbCrO5 crystallizes in the monoclinic P2_1/c space group. The structure is three-dimensional. there are two inequivalent Yb sites. In the first Yb site, Yb is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of Yb–O bond distances ranging from 2.31–2.67 Å. In the second Yb site, Yb is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of Yb–O bond distances ranging from 2.29–2.52 Å. There are two inequivalent Cr sites. In the first Cr site, Cr is bonded in a tetrahedral geometry to four O atoms. There are a spread of Cr–O bond distances ranging from 1.64–1.71 Å. In the second Cr site, Cr is bonded in a tetrahedral geometry to four O atoms. There are a spread of Cr–O bond distances ranging from 1.64–1.70 Å. There are ten inequivalent O sites. In the first O site, O is bonded in a distorted bent 150 degrees geometry to one Yb and one Cr atom. In the second O site, O is bonded in a 1-coordinate geometry to two Yb and one Cr atom. In the third O site, O is bonded in a distorted bent 150 degrees geometry to one Yb and one Cr atom. In the fourth O site, O is bonded in a bent 150 degrees geometry to one Yb and one Cr atom. In the fifth O site, O is bonded in a 1-coordinate geometry to two Yb and one Cr atom. In the sixth O site, O is bonded in a distorted trigonal non-coplanar geometry to three Yb atoms. In the seventh O site, O is bonded in a bent 150 degrees geometry to one Yb and one Cr atom. In the eighth O site, O is bonded in a distorted trigonal planar geometry to three Yb atoms. In the ninth O site, O is bonded in a bent 150 degrees geometry to one Yb and one Cr atom. In the tenth O site, O is bonded in a bent 150 degrees geometry to one Yb and one Cr atom.

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Materials Data on V4(CrS2)5 by Materials Project

V4(CrS2)5 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are two inequivalent V2+ sites. In the first V2+ site, V2+ is bonded to six S2- atoms to form VS6 octahedra that share corners with twelve CrS6 octahedra, edges with five VS6 octahedra, and faces with two CrS6 octahedra. The corner-sharing octahedra tilt angles range from 42–52°. There are a spread of V–S bond distances ranging from 2.41–2.45 Å. In the second V2+ site, V2+ is bonded to six S2- atoms to form VS6 octahedra that share corners with twelve CrS6 octahedra, edges with four VS6 octahedra, and faces with two CrS6 octahedra. The corner-sharing octahedra tilt angles range from 43–53°. There are a spread of V–S bond distances ranging from 2.41–2.51 Å. There are three inequivalent Cr+2.40+ sites. In the first Cr+2.40+ site, Cr+2.40+ is bonded to six S2- atoms to form CrS6 octahedra that share corners with eleven VS6 octahedra, edges with six CrS6 octahedra, and a faceface with one VS6 octahedra. The corner-sharing octahedra tilt angles range from 42–52°. There are a spread of Cr–S bond distances ranging from 2.36–2.45 Å. In the second Cr+2.40+ site, Cr+2.40+ is bonded to six S2- atoms to form CrS6 octahedra that share corners with nine VS6 octahedra, edges with six CrS6 octahedra, and faces with two VS6 octahedra. The corner-sharing octahedra tilt angles range from 47–53°. There are a spread of Cr–S bond distances ranging from 2.38–2.46 Å. In the third Cr+2.40+ site, Cr+2.40+ is bonded to six S2- atoms to form CrS6 octahedra that share corners with eight VS6 octahedra, edges with six CrS6 octahedra, and faces with two equivalent VS6 octahedra. The corner-sharing octahedra tilt angles range from 43–52°. There are a spread of Cr–S bond distances ranging from 2.41–2.46 Å. There are five inequivalent S2- sites. In the first S2- site, S2- is bonded to two equivalent V2+ and three Cr+2.40+ atoms to form distorted SV2Cr3 square pyramids that share corners with three SV3Cr3 pentagonal pyramids, corners with four SV2Cr3 square pyramids, corners with two equivalent SV2Cr3 trigonal bipyramids, edges with four SV3Cr3 pentagonal pyramids, edges with two SV2Cr3 square pyramids, and edges with two equivalent SV2Cr3 trigonal bipyramids. In the second S2- site, S2- is bonded to three V2+ and three Cr+2.40+ atoms to form distorted SV3Cr3 pentagonal pyramids that share corners with two equivalent SV3Cr3 pentagonal pyramids, corners with three SV2Cr3 square pyramids, a cornercorner with one SV2Cr3 trigonal bipyramid, edges with five SV3Cr3 pentagonal pyramids, edges with five SV2Cr3 square pyramids, and edges with two equivalent SV2Cr3 trigonal bipyramids. In the third S2- site, S2- is bonded to two V2+ and three Cr+2.40+ atoms to form distorted SV2Cr3 square pyramids that share corners with two equivalent SV3Cr3 pentagonal pyramids, corners with three equivalent SV2Cr3 square pyramids, corners with four equivalent SV2Cr3 trigonal bipyramids, edges with six SV3Cr3 pentagonal pyramids, and edges with two SV2Cr3 square pyramids. In the fourth S2- site, S2- is bonded to three V2+ and three Cr+2.40+ atoms to form distorted SV3Cr3 pentagonal pyramids that share corners with three SV3Cr3 pentagonal pyramids, corners with two equivalent SV2Cr3 square pyramids, a cornercorner with one SV2Cr3 trigonal bipyramid, edges with four SV3Cr3 pentagonal pyramids, edges with five SV2Cr3 square pyramids, and edges with three equivalent SV2Cr3 trigonal bipyramids. In the fifth S2- site, S2- is bonded to two V2+ and three Cr+2.40+ atoms to form distorted SV2Cr3 trigonal bipyramids that share corners with two SV3Cr3 pentagonal pyramids, corners with six SV2Cr3 square pyramids, a cornercorner with one SV2Cr3 trigonal bipyramid, edges with five SV3Cr3 pentagonal pyramids, edges with two equivalent SV2Cr3 square pyramids, and an edgeedge with one SV2Cr3 trigonal bipyramid.

36 MATERIALS SCIENCE↗

Materials Data on SrU2Cr2O22 by Materials Project

(SrU2Cr2O15)2(O2)7 crystallizes in the triclinic P-1 space group. The structure is three-dimensional and consists of four hydrogen peroxide molecules, two trioxidane molecules, and one SrU2Cr2O15 framework. In the SrU2Cr2O15 framework, Sr is bonded in a 5-coordinate geometry to five O atoms. There are a spread of Sr–O bond distances ranging from 2.48–2.73 Å. There are two inequivalent U sites. In the first U site, U is bonded to seven O atoms to form distorted UO7 pentagonal bipyramids that share corners with three CrO4 tetrahedra and an edgeedge with one UO7 pentagonal bipyramid. There are a spread of U–O bond distances ranging from 1.82–2.59 Å. In the second U site, U is bonded to seven O atoms to form distorted UO7 pentagonal bipyramids that share corners with three CrO4 tetrahedra and an edgeedge with one UO7 pentagonal bipyramid. There are a spread of U–O bond distances ranging from 1.82–2.59 Å. There are two inequivalent Cr sites. In the first Cr site, Cr is bonded to four O atoms to form CrO4 tetrahedra that share corners with three UO7 pentagonal bipyramids. There are a spread of Cr–O bond distances ranging from 1.65–1.70 Å. In the second Cr site, Cr is bonded to four O atoms to form CrO4 tetrahedra that share corners with three UO7 pentagonal bipyramids. There is three shorter (1.63 Å) and one longer (1.92 Å) Cr–O bond length. There are fifteen inequivalent O sites. In the first O site, O is bonded in a distorted bent 150 degrees geometry to one U and one Cr atom. In the second O site, O is bonded in a 1-coordinate geometry to one Sr, one U, and one Cr atom. In the third O site, O is bonded in a distorted bent 120 degrees geometry to one Sr and one Cr atom. In the fourth O site, O is bonded in a bent 120 degrees geometry to one Sr and one O atom. The O–O bond length is 1.31 Å. In the fifth O site, O is bonded in a distorted linear geometry to one Sr and one U atom. In the sixth O site, O is bonded in a single-bond geometry to one U atom. In the seventh O site, O is bonded in a bent 120 degrees geometry to one Sr and one U atom. In the eighth O site, O is bonded in a single-bond geometry to one U atom. In the ninth O site, O is bonded in a water-like geometry to two equivalent U atoms. In the tenth O site, O is bonded in a water-like geometry to two equivalent U atoms. In the eleventh O site, O is bonded in a distorted single-bond geometry to one U and one Cr atom. In the twelfth O site, O is bonded in a distorted single-bond geometry to one U and one Cr atom. In the thirteenth O site, O is bonded in a distorted bent 120 degrees geometry to one Cr and one O atom. In the fourteenth O site, O is bonded in a distorted single-bond geometry to one U and one Cr atom. In the fifteenth O site, O is bonded in a bent 150 degrees geometry to one U and one Cr atom.

36 MATERIALS SCIENCE↗

Materials Data on V2Cr2Fe by Materials Project

V2Cr2Fe crystallizes in the orthorhombic Fmm2 space group. The structure is three-dimensional. there are two inequivalent V sites. In the first V site, V is bonded in a 8-coordinate geometry to six V and two equivalent Cr atoms. There are four shorter (2.51 Å) and two longer (2.63 Å) V–V bond lengths. Both V–Cr bond lengths are 2.54 Å. In the second V site, V is bonded in a 8-coordinate geometry to two equivalent V and two equivalent Fe atoms. Both V–Fe bond lengths are 2.51 Å. There are two inequivalent Cr sites. In the first Cr site, Cr is bonded in a 8-coordinate geometry to two equivalent Cr and two equivalent Fe atoms. Both Cr–Cr bond lengths are 2.45 Å. Both Cr–Fe bond lengths are 2.46 Å. In the second Cr site, Cr is bonded in a distorted body-centered cubic geometry to two equivalent V and six Cr atoms. All Cr–Cr bond lengths are 2.51 Å. Fe is bonded in a 8-coordinate geometry to two equivalent V and two equivalent Cr atoms.

36 MATERIALS SCIENCE↗

Materials Data on K2Cr2AsO10 by Materials Project

K2Cr2AsO10 crystallizes in the trigonal P3_1 space group. The structure is three-dimensional. there are two inequivalent K sites. In the first K site, K is bonded in a 7-coordinate geometry to eight O atoms. There are a spread of K–O bond distances ranging from 2.73–3.29 Å. In the second K site, K is bonded in a 9-coordinate geometry to nine O atoms. There are a spread of K–O bond distances ranging from 2.73–3.23 Å. There are two inequivalent Cr sites. In the first Cr site, Cr is bonded to four O atoms to form CrO4 tetrahedra that share a cornercorner with one AsO4 tetrahedra. There are a spread of Cr–O bond distances ranging from 1.62–1.85 Å. In the second Cr site, Cr is bonded to four O atoms to form CrO4 tetrahedra that share a cornercorner with one AsO4 tetrahedra. There are a spread of Cr–O bond distances ranging from 1.62–1.86 Å. As is bonded to four O atoms to form AsO4 tetrahedra that share corners with two CrO4 tetrahedra. There is two shorter (1.70 Å) and two longer (1.76 Å) As–O bond length. There are ten inequivalent O sites. In the first O site, O is bonded in a distorted single-bond geometry to two K and one Cr atom. In the second O site, O is bonded in a distorted single-bond geometry to two K and one Cr atom. In the third O site, O is bonded in a distorted bent 120 degrees geometry to one K and one As atom. In the fourth O site, O is bonded in a distorted bent 120 degrees geometry to one K and one As atom. In the fifth O site, O is bonded in a distorted bent 120 degrees geometry to one K, one Cr, and one As atom. In the sixth O site, O is bonded in a distorted single-bond geometry to two K and one Cr atom. In the seventh O site, O is bonded in a distorted single-bond geometry to two K and one Cr atom. In the eighth O site, O is bonded in a distorted single-bond geometry to two K and one Cr atom. In the ninth O site, O is bonded in a distorted bent 120 degrees geometry to two K, one Cr, and one As atom. In the tenth O site, O is bonded in a distorted single-bond geometry to two K and one Cr atom.

36 MATERIALS SCIENCE↗

Materials Data on Cr3O5 by Materials Project

Cr3O5 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are three inequivalent Cr+3.33+ sites. In the first Cr+3.33+ site, Cr+3.33+ is bonded to five O2- atoms to form a mixture of edge and corner-sharing CrO5 trigonal bipyramids. There are a spread of Cr–O bond distances ranging from 1.79–2.05 Å. In the second Cr+3.33+ site, Cr+3.33+ is bonded to five O2- atoms to form a mixture of distorted edge, corner, and face-sharing CrO5 trigonal bipyramids. There are a spread of Cr–O bond distances ranging from 1.90–2.07 Å. In the third Cr+3.33+ site, Cr+3.33+ is bonded to five O2- atoms to form a mixture of distorted corner and face-sharing CrO5 trigonal bipyramids. There are a spread of Cr–O bond distances ranging from 1.94–2.03 Å. There are five inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal planar geometry to three Cr+3.33+ atoms. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to three Cr+3.33+ atoms. In the third O2- site, O2- is bonded in a distorted T-shaped geometry to three Cr+3.33+ atoms. In the fourth O2- site, O2- is bonded in a T-shaped geometry to three Cr+3.33+ atoms. In the fifth O2- site, O2- is bonded in a 3-coordinate geometry to three Cr+3.33+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Al2Cr4O19 by Materials Project

Cr4Al2O19 crystallizes in the monoclinic P2/c space group. The structure is two-dimensional and consists of one Cr4Al2O19 sheet oriented in the (0, 1, 0) direction. there are two inequivalent Cr sites. In the first Cr site, Cr is bonded to four O atoms to form CrO4 tetrahedra that share corners with three AlO6 octahedra. The corner-sharing octahedra tilt angles range from 30–43°. There are a spread of Cr–O bond distances ranging from 1.59–1.71 Å. In the second Cr site, Cr is bonded to four O atoms to form CrO4 tetrahedra that share a cornercorner with one AlO6 octahedra and a cornercorner with one CrO4 tetrahedra. The corner-sharing octahedral tilt angles are 15°. There are a spread of Cr–O bond distances ranging from 1.60–1.77 Å. There are two inequivalent Al sites. In the first Al site, Al is bonded to six O atoms to form AlO6 octahedra that share corners with four equivalent CrO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.88–1.90 Å. In the second Al site, Al is bonded to six O atoms to form AlO6 octahedra that share corners with four CrO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.86–1.91 Å. There are ten inequivalent O sites. In the first O site, O is bonded in a linear geometry to one Cr and one Al atom. In the second O site, O is bonded in a single-bond geometry to one Cr atom. In the third O site, O is bonded in a single-bond geometry to one Al atom. In the fourth O site, O is bonded in a bent 150 degrees geometry to one Cr and one Al atom. In the fifth O site, O is bonded in a single-bond geometry to one Al atom. In the sixth O site, O is bonded in a bent 150 degrees geometry to one Cr and one Al atom. In the seventh O site, O is bonded in a single-bond geometry to one Cr atom. In the eighth O site, O is bonded in a bent 150 degrees geometry to one Cr and one Al atom. In the ninth O site, O is bonded in a distorted bent 120 degrees geometry to two equivalent Cr atoms. In the tenth O site, O is bonded in a single-bond geometry to one Cr atom.

36 MATERIALS SCIENCE↗

Materials Data on Li32Mn11Cr5O48 by Materials Project

Li32Cr5Mn11O48 is beta Polonium-derived structured and crystallizes in the monoclinic C2 space group. The structure is three-dimensional. there are seventeen inequivalent Li sites. In the first Li site, Li is bonded to six O atoms to form LiO6 octahedra that share a cornercorner with one CrO6 octahedra, corners with two LiO6 octahedra, corners with three MnO6 octahedra, an edgeedge with one CrO6 octahedra, edges with three MnO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–10°. There are a spread of Li–O bond distances ranging from 2.06–2.21 Å. In the second Li site, Li is bonded to six O atoms to form LiO6 octahedra that share a cornercorner with one CrO6 octahedra, corners with two LiO6 octahedra, corners with three MnO6 octahedra, an edgeedge with one CrO6 octahedra, edges with three MnO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–9°. There are a spread of Li–O bond distances ranging from 2.04–2.21 Å. In the third Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with three equivalent CrO6 octahedra, edges with three equivalent MnO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–10°. There are a spread of Li–O bond distances ranging from 2.07–2.14 Å. In the fourth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share a cornercorner with one CrO6 octahedra, corners with two LiO6 octahedra, corners with three MnO6 octahedra, an edgeedge with one CrO6 octahedra, edges with three MnO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–8°. There are a spread of Li–O bond distances ranging from 2.03–2.20 Å. In the fifth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with three equivalent CrO6 octahedra, edges with three equivalent MnO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–10°. There are a spread of Li–O bond distances ranging from 2.07–2.12 Å. In the sixth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share a cornercorner with one CrO6 octahedra, corners with two LiO6 octahedra, corners with three MnO6 octahedra, an edgeedge with one CrO6 octahedra, edges with three MnO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–9°. There are a spread of Li–O bond distances ranging from 2.04–2.20 Å. In the seventh Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six MnO6 octahedra. The corner-sharing octahedra tilt angles range from 8–9°. There are four shorter (2.09 Å) and two longer (2.11 Å) Li–O bond lengths. In the eighth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with two CrO6 octahedra, corners with two MnO6 octahedra, edges with two CrO6 octahedra, edges with two MnO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–9°. There are a spread of Li–O bond distances ranging from 2.05–2.21 Å. In the ninth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with two CrO6 octahedra, corners with two MnO6 octahedra, edges with two CrO6 octahedra, edges with two MnO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–9°. There are a spread of Li–O bond distances ranging from 2.03–2.20 Å. In the tenth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share a cornercorner with one CrO6 octahedra, corners with two LiO6 octahedra, corners with three MnO6 octahedra, an edgeedge with one CrO6 octahedra, edges with three MnO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–9°. There are a spread of Li–O bond distances ranging from 2.06–2.21 Å. In the eleventh Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six MnO6 octahedra. The corner-sharing octahedra tilt angles range from 8–9°. There are four shorter (2.09 Å) and two longer (2.11 Å) Li–O bond lengths. In the twelfth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share a cornercorner with one CrO6 octahedra, corners with two LiO6 octahedra, corners with three MnO6 octahedra, an edgeedge with one CrO6 octahedra, edges with three MnO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–10°. There are a spread of Li–O bond distances ranging from 2.07–2.22 Å. In the thirteenth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share a cornercorner with one CrO6 octahedra, corners with two LiO6 octahedra, corners with three MnO6 octahedra, an edgeedge with one CrO6 octahedra, edges with three MnO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–9°. There are a spread of Li–O bond distances ranging from 2.06–2.22 Å. In the fourteenth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share a cornercorner with one CrO6 octahedra, corners with two LiO6 octahedra, corners with three MnO6 octahedra, an edgeedge with one CrO6 octahedra, edges with three MnO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–10°. There are a spread of Li–O bond distances ranging from 2.06–2.21 Å. In the fifteenth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share a cornercorner with one CrO6 octahedra, corners with two LiO6 octahedra, corners with three MnO6 octahedra, an edgeedge with one CrO6 octahedra, edges with three MnO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–10°. There are a spread of Li–O bond distances ranging from 2.07–2.21 Å. In the sixteenth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with two CrO6 octahedra, corners with two MnO6 octahedra, edges with two CrO6 octahedra, edges with two MnO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–10°. There are a spread of Li–O bond distances ranging from 2.06–2.19 Å. In the seventeenth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with three equivalent CrO6 octahedra, edges with three equivalent MnO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–10°. There are a spread of Li–O bond distances ranging from 2.07–2.12 Å. There are three inequivalent Cr sites. In the first Cr site, Cr is bonded to six O atoms to form CrO6 octahedra that share corners with six LiO6 octahedra, edges with three equivalent MnO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–8°. There are a spread of Cr–O bond distances ranging from 1.90–1.98 Å. In the second Cr site, Cr is bonded to six O atoms to form CrO6 octahedra that share corners with six LiO6 octahedra, edges with three equivalent MnO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–8°. There are a spread of Cr–O bond distances ranging from 1.91–1.99 Å. In the third Cr site, Cr is bonded to six O atoms to form CrO6 octahedra that share corners with six LiO6 octahedra, edges with three equivalent MnO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedral tilt angles are 8°. There are a spread of Cr–O bond distances ranging from 1.90–1.98 Å. There are seven inequivalent Mn sites. In the first Mn site, Mn is bonded to six O atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with three equivalent MnO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–8°. There is four shorter (1.94 Å) and two longer (1.95 Å) Mn–O bond length. In the second Mn site, Mn is bonded to six O atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with three equivalent MnO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–8°. There is four shorter (1.94 Å) and two longer (1.95 Å) Mn–O bond length. In the third Mn site, Mn is bonded to six O atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with three equivalent CrO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–9°. There is two shorter (1.93 Å) and four longer (1.95 Å) Mn–O bond length. In the fourth Mn site, Mn is bonded to six O atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with three equivalent CrO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–9°. There are a spread of Mn–O bond distances ranging from 1.93–1.95 Å. In the fifth Mn site, Mn is bonded to six O atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with three equivalent CrO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–9°. There is two shorter (1.93 Å) and four longer (1.95 Å) Mn–O bond length. In the sixth Mn site, Mn is bonded to six O atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with three equivalent MnO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–8°. There is two shorter (1.94 Å) and four longer (1.95 Å) Mn–O bond length. In the seventh Mn site, Mn is bonded to six O atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with three equivalent MnO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–8°. There is two shorter (1.94 Å) and four longer (1.95 Å) Mn–O bond length. There are twenty-four inequivalent O sites. In the first O site, O is bonded to four Li, one Cr, and one Mn atom to form a mixture of edge and corner-sharing OLi4MnCr octahedra. The corner-sharing octahedra tilt angles range from 0–8°. In the second O site, O is bonded to four Li, one Cr, and one Mn atom to form a mixture of edge and corner-sharing OLi4MnCr octahedra. The corner-sharing octahedra tilt angles range from 1–8°. In the third O site, O is bonded to four Li and two Mn atoms to form a mixture of edge and corner-sharing OLi4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. In the fourth O site, O is bonded to four Li and two Mn atoms to form a mixture of edge and corner-sharing OLi4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 0–8°. In the fifth O site, O is bonded to four Li, one Cr, and one Mn atom to form a mixture of edge and corner-sharing OLi4MnCr octahedra. The corner-sharing octahedra tilt angles range from 1–8°. In the sixth O site, O is bonded to four Li and two Mn atoms to form a mixture of edge and corner-sharing OLi4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. In the seventh O site, O is bonded to four Li and two Mn atoms to form a mixture of edge and corner-sharing OLi4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. In the eighth O site, O is bonded to four Li, one Cr, and one Mn atom to form a mixture of edge and corner-sharing OLi4MnCr octahedra. The corner-sharing octahedra tilt angles range from 0–8°. In the ninth O site, O is bonded to four Li, one Cr, and one Mn atom to form a mixture of edge a

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Materials Data on NdCrO5 by Materials Project

NdCrO5 crystallizes in the monoclinic P2_1/c space group. The structure is three-dimensional. there are two inequivalent Nd sites. In the first Nd site, Nd is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of Nd–O bond distances ranging from 2.36–2.64 Å. In the second Nd site, Nd is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of Nd–O bond distances ranging from 2.39–2.57 Å. There are two inequivalent Cr sites. In the first Cr site, Cr is bonded in a tetrahedral geometry to four O atoms. There are a spread of Cr–O bond distances ranging from 1.64–1.70 Å. In the second Cr site, Cr is bonded in a tetrahedral geometry to four O atoms. There is two shorter (1.65 Å) and two longer (1.69 Å) Cr–O bond length. There are ten inequivalent O sites. In the first O site, O is bonded in a 1-coordinate geometry to one Nd and one Cr atom. In the second O site, O is bonded in a distorted single-bond geometry to two Nd and one Cr atom. In the third O site, O is bonded in a distorted single-bond geometry to one Nd and one Cr atom. In the fourth O site, O is bonded in a distorted bent 150 degrees geometry to one Nd and one Cr atom. In the fifth O site, O is bonded in a distorted single-bond geometry to two Nd and one Cr atom. In the sixth O site, O is bonded in a trigonal non-coplanar geometry to three Nd atoms. In the seventh O site, O is bonded in a bent 150 degrees geometry to one Nd and one Cr atom. In the eighth O site, O is bonded in a distorted trigonal non-coplanar geometry to three Nd atoms. In the ninth O site, O is bonded in a bent 150 degrees geometry to one Nd and one Cr atom. In the tenth O site, O is bonded in a distorted bent 150 degrees geometry to one Nd and one Cr atom.

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Materials Data on Cr4Fe2O19 by Materials Project

Cr4Fe2O19 crystallizes in the monoclinic P2/c space group. The structure is two-dimensional and consists of one Cr4Fe2O19 sheet oriented in the (0, 1, 0) direction. there are two inequivalent Cr sites. In the first Cr site, Cr is bonded to four O atoms to form CrO4 tetrahedra that share corners with three FeO6 octahedra. The corner-sharing octahedra tilt angles range from 33–43°. There are a spread of Cr–O bond distances ranging from 1.60–1.76 Å. In the second Cr site, Cr is bonded to four O atoms to form CrO4 tetrahedra that share a cornercorner with one FeO6 octahedra and a cornercorner with one CrO4 tetrahedra. The corner-sharing octahedral tilt angles are 13°. There are a spread of Cr–O bond distances ranging from 1.60–1.78 Å. There are two inequivalent Fe sites. In the first Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with four equivalent CrO4 tetrahedra. There are a spread of Fe–O bond distances ranging from 1.83–2.10 Å. In the second Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with four CrO4 tetrahedra. There are a spread of Fe–O bond distances ranging from 1.96–2.10 Å. There are ten inequivalent O sites. In the first O site, O is bonded in a linear geometry to one Cr and one Fe atom. In the second O site, O is bonded in a single-bond geometry to one Cr atom. In the third O site, O is bonded in a single-bond geometry to one Fe atom. In the fourth O site, O is bonded in a bent 150 degrees geometry to one Cr and one Fe atom. In the fifth O site, O is bonded in a single-bond geometry to one Fe atom. In the sixth O site, O is bonded in a bent 150 degrees geometry to one Cr and one Fe atom. In the seventh O site, O is bonded in a single-bond geometry to one Cr atom. In the eighth O site, O is bonded in a bent 150 degrees geometry to one Cr and one Fe atom. In the ninth O site, O is bonded in a bent 120 degrees geometry to two equivalent Cr atoms. In the tenth O site, O is bonded in a single-bond geometry to one Cr atom.

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