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Materials Data on Fe8H10O17 by Materials Project

Fe8H10O17 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are sixteen inequivalent Fe3+ sites. In the first Fe3+ site, Fe3+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 40–52°. There are a spread of Fe–O bond distances ranging from 1.93–2.21 Å. In the second Fe3+ site, Fe3+ is bonded to six O2- atoms to form a mixture of distorted corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 50–59°. There are a spread of Fe–O bond distances ranging from 1.95–2.21 Å. In the third Fe3+ site, Fe3+ is bonded to six O2- atoms to form a mixture of distorted corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 50–57°. There are a spread of Fe–O bond distances ranging from 1.95–2.18 Å. In the fourth Fe3+ site, Fe3+ is bonded to six O2- atoms to form a mixture of distorted corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 40–56°. There are a spread of Fe–O bond distances ranging from 1.91–2.38 Å. In the fifth Fe3+ site, Fe3+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 49–55°. There are a spread of Fe–O bond distances ranging from 1.97–2.14 Å. In the sixth Fe3+ site, Fe3+ is bonded to six O2- atoms to form a mixture of distorted corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 46–57°. There are a spread of Fe–O bond distances ranging from 1.94–2.30 Å. In the seventh Fe3+ site, Fe3+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 49–57°. There are a spread of Fe–O bond distances ranging from 1.95–2.13 Å. In the eighth Fe3+ site, Fe3+ is bonded to six O2- atoms to form a mixture of distorted corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 50–53°. There are a spread of Fe–O bond distances ranging from 1.98–2.18 Å. In the ninth Fe3+ site, Fe3+ is bonded to six O2- atoms to form a mixture of distorted corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 47–52°. There are a spread of Fe–O bond distances ranging from 1.94–2.20 Å. In the tenth Fe3+ site, Fe3+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 50–53°. There are a spread of Fe–O bond distances ranging from 1.97–2.15 Å. In the eleventh Fe3+ site, Fe3+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 32–53°. There are a spread of Fe–O bond distances ranging from 1.97–2.17 Å. In the twelfth Fe3+ site, Fe3+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 32–56°. There are a spread of Fe–O bond distances ranging from 1.97–2.25 Å. In the thirteenth Fe3+ site, Fe3+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 50–53°. There are a spread of Fe–O bond distances ranging from 2.00–2.15 Å. In the fourteenth Fe3+ site, Fe3+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 51–54°. There are a spread of Fe–O bond distances ranging from 2.00–2.16 Å. In the fifteenth Fe3+ site, Fe3+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 53–59°. There are a spread of Fe–O bond distances ranging from 1.92–2.14 Å. In the sixteenth Fe3+ site, Fe3+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 49–52°. There are a spread of Fe–O bond distances ranging from 1.97–2.19 Å. There are twenty inequivalent H1+ sites. In the first H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.97 Å. In the second H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.97 Å. In the third H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.98 Å. In the fourth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.97 Å. In the fifth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 1.00 Å. In the sixth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.97 Å. In the seventh H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.98 Å. In the eighth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.99 Å. In the ninth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.98 Å. In the tenth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.97 Å. In the eleventh H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 1.01 Å. In the twelfth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.97 Å. In the thirteenth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.97 Å. In the fourteenth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.98 Å. In the fifteenth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.97 Å. In the sixteenth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 1.00 Å. In the seventeenth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.97 Å. In the eighteenth H1+ site, H1+ is bonded in a distorted linear geometry to two O2- atoms. There is one shorter (1.03 Å) and one longer (1.58 Å) H–O bond length. In the nineteenth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.98 Å. In the twentieth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.97 Å. There are thirty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted single-bond geometry to three Fe3+ and one H1+ atom. In the second O2- site, O2- is bonded in a trigonal planar geometry to three Fe3+ atoms. In the third O2- site, O2- is bonded in a distorted single-bond geometry to three Fe3+ and one H1+ atom. In the fourth O2- site, O2- is bonded in a trigonal planar geometry to three Fe3+ atoms. In the fifth O2- site, O2- is bonded in a distorted single-bond geometry to three Fe3+ and one H1+ atom. In the sixth O2- site, O2- is bonded in a trigonal planar geometry to three Fe3+ atoms. In the seventh O2- site, O2- is bonded in a distorted trigonal pyramidal geometry to three Fe3+ and one H1+ atom. In the eighth O2- site, O2- is bonded in a trigonal planar geometry to three Fe3+ atoms. In the ninth O2- site, O2- is bonded in a distorted single-bond geometry to three Fe3+ and one H1+ atom. In the tenth O2- site, O2- is bonded in a trigonal planar geometry to three Fe3+ atoms. In the eleventh O2- site, O2- is bonded in a water-like geometry to two Fe3+ and two H1+ atoms. In the twelfth O2- site, O2- is bonded in a distorted single-bond geometry to three Fe3+ and one H1+ atom. In the thirteenth O2- site, O2- is bonded in a trigonal non-coplanar geometry to three Fe3+ atoms. In the fourteenth O2- site, O2- is bonded in a single-bond geometry to three Fe3+ and one H1+ atom. In the fifteenth O2- site, O2- is bonded in a distorted single-bond geometry to three Fe3+ and one H1+ atom. In the sixteenth O2- site, O2- is bonded in a trigonal planar geometry to three Fe3+ atoms. In the seventeenth O2- site, O2- is bonded in a distorted single-bond geometry to three Fe3+ and one H1+ atom. In the eighteenth O2- site, O2- is bonded in a distorted single-bond geometry to three Fe3+ and one H1+ atom. In the nineteenth O2- site, O2- is bonded in a distorted single-bond geometry to three Fe3+ and one H1+ atom. In the twentieth O2- site, O2- is bonded in a trigonal planar geometry to three Fe3+ atoms. In the twenty-first O2- site, O2- is bonded in a distorted trigonal pyramidal geometry to four Fe3+ atoms. In the twenty-second O2- site, O2- is bonded in a distorted trigonal planar geometry to three Fe3+ atoms. In the twenty-third O2- site, O2- is bonded in a distorted trigonal planar geometry to three Fe3+ atoms. In the twenty-fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Fe3+ atoms. In the twenty-fifth O2- site, O2- is bonded in a distorted single-bond geometry to three Fe3+ and one H1+ atom. In the twenty-sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Fe3+ atoms. In the twenty-seventh O2- site, O2- is bonded in a trigonal planar geometry to three Fe3+ atoms. In the twenty-eighth O2- site, O2- is bonded in a distorted single-bond geometry to three Fe3+ and one H1+ atom. In the twenty-ninth O2- site, O2- is bonded in a distorted single-bond geometry to two Fe3+ and one H1+ atom. In the thirtieth O2- site, O2- is bonded in a distorted single-bond geometry to three Fe3+ and one H1+ atom. In the thirty-first O2- site, O2- is bonded in a trigonal planar geometry to three Fe3+ atoms. In the thirty-second O2- site, O2- is bonded in a distorted water-like geometry to one Fe3+ and two H1+ atoms. In the thirty-third O2- site, O2- is bonded in a distorted single-bond geometry to one Fe3+ and one H1+ atom. In the thirty-fourth O2- site, O2- is bonded in a distorted single-bond geometry to two Fe3+ and one H1+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li2Cr3CuO8 by Materials Project

Li2Cr3CuO8 is Spinel-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three CuO6 octahedra and corners with nine CrO6 octahedra. The corner-sharing octahedra tilt angles range from 55–65°. There are a spread of Li–O bond distances ranging from 1.99–2.03 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three CuO6 octahedra and corners with nine CrO6 octahedra. The corner-sharing octahedra tilt angles range from 53–64°. There are a spread of Li–O bond distances ranging from 1.96–2.02 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three CuO6 octahedra and corners with nine CrO6 octahedra. The corner-sharing octahedra tilt angles range from 56–63°. There are a spread of Li–O bond distances ranging from 2.00–2.03 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three CuO6 octahedra and corners with nine CrO6 octahedra. The corner-sharing octahedra tilt angles range from 56–64°. There are a spread of Li–O bond distances ranging from 1.98–2.01 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three CuO6 octahedra and corners with nine CrO6 octahedra. The corner-sharing octahedra tilt angles range from 55–63°. There are a spread of Li–O bond distances ranging from 1.96–2.00 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three CuO6 octahedra and corners with nine CrO6 octahedra. The corner-sharing octahedra tilt angles range from 56–63°. There are a spread of Li–O bond distances ranging from 1.98–2.03 Å. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three CuO6 octahedra and corners with nine CrO6 octahedra. The corner-sharing octahedra tilt angles range from 56–63°. There are a spread of Li–O bond distances ranging from 1.98–2.02 Å. In the eighth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three CuO6 octahedra and corners with nine CrO6 octahedra. The corner-sharing octahedra tilt angles range from 55–63°. There are a spread of Li–O bond distances ranging from 1.99–2.05 Å. There are twelve inequivalent Cr4+ sites. In the first Cr4+ site, Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CuO6 octahedra, and edges with four CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 2.00–2.03 Å. In the second Cr4+ site, Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CuO6 octahedra, and edges with four CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 1.88–2.02 Å. In the third Cr4+ site, Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CuO6 octahedra, and edges with four CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 2.00–2.03 Å. In the fourth Cr4+ site, Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CuO6 octahedra, and edges with four CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 1.90–2.02 Å. In the fifth Cr4+ site, Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CuO6 octahedra, and edges with four CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 1.91–2.01 Å. In the sixth Cr4+ site, Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CuO6 octahedra, and edges with four CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 1.91–2.00 Å. In the seventh Cr4+ site, Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CuO6 octahedra, and edges with four CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 1.97–2.05 Å. In the eighth Cr4+ site, Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CuO6 octahedra, and edges with four CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 1.95–2.02 Å. In the ninth Cr4+ site, Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CuO6 octahedra, and edges with four CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 1.91–2.00 Å. In the tenth Cr4+ site, Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CuO6 octahedra, and edges with four CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 1.92–2.00 Å. In the eleventh Cr4+ site, Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CuO6 octahedra, and edges with four CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 1.92–2.01 Å. In the twelfth Cr4+ site, Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CuO6 octahedra, and edges with four CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 2.00–2.04 Å. There are four inequivalent Cu2+ sites. In the first Cu2+ site, Cu2+ is bonded to six O2- atoms to form CuO6 octahedra that share corners with six LiO4 tetrahedra and edges with six CrO6 octahedra. There are a spread of Cu–O bond distances ranging from 2.02–2.07 Å. In the second Cu2+ site, Cu2+ is bonded to six O2- atoms to form CuO6 octahedra that share corners with six LiO4 tetrahedra and edges with six CrO6 octahedra. There are a spread of Cu–O bond distances ranging from 2.01–2.08 Å. In the third Cu2+ site, Cu2+ is bonded to six O2- atoms to form CuO6 octahedra that share corners with six LiO4 tetrahedra and edges with six CrO6 octahedra. There are a spread of Cu–O bond distances ranging from 2.02–2.07 Å. In the fourth Cu2+ site, Cu2+ is bonded to six O2- atoms to form CuO6 octahedra that share corners with six LiO4 tetrahedra and edges with six CrO6 octahedra. There are a spread of Cu–O bond distances ranging from 1.92–2.11 Å. There are thirty-two inequivalent O2- sites. In the first O2- site, O2- is bonded to one Li1+, two Cr4+, and one Cu2+ atom to form distorted OLiCr2Cu trigonal pyramids that share a cornercorner with one OLiCr2Cu tetrahedra, corners with two OLiCr2Cu trigonal pyramids, and an edgeedge with one OLiCr3 trigonal pyramid. In the second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Cr4+, and one Cu2+ atom. In the third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Cr4+ atoms. In the fourth O2- site, O2- is bonded to one Li1+, two Cr4+, and one Cu2+ atom to form distorted corner-sharing OLiCr2Cu tetrahedra. In the fifth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, two Cr4+, and one Cu2+ atom. In the sixth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Cr4+ atoms. In the seventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Cr4+, and one Cu2+ atom. In the eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Cr4+, and one Cu2+ atom. In the ninth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Cr4+, and one Cu2+ atom. In the tenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Cr4+, and one Cu2+ atom. In the eleventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Cr4+ atoms. In the twelfth O2- site, O2- is bonded to one Li1+, two Cr4+, and one Cu2+ atom to form distorted edge-sharing OLiCr2Cu trigonal pyramids. In the thirteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Cr4+, and one Cu2+ atom. In the fourteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Cr4+ atoms. In the fifteenth O2- site, O2- is bonded to one Li1+, two Cr4+, and one Cu2+ atom to form distorted OLiCr2Cu trigonal pyramids that share a cornercorner with one OLiCr2Cu tetrahedra, corners with two OLiCr2Cu trigonal pyramids, and an edgeedge with one OLiCr3 trigonal pyramid. In the sixteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Cr4+, and one Cu2+ atom. In the seventeenth O2- site, O2- is bonded to one Li1+, two Cr4+, and one Cu2+ atom to form distorted OLiCr2Cu trigonal pyramids that share corners with two OLiCr3 trigonal pyramids and an edgeedge with one OLiCr2Cu trigonal pyramid. In the eighteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Cr4+, and one Cu2+ atom. In the nineteenth O2- site, O2- is bonded to one Li1+ and three Cr4+ atoms to form a mixture of distorted edge and corner-sharing OLiCr3 trigonal pyramids. In the twentieth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Cr4+, and one Cu2+ atom. In the twenty-first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Cr4+, and one Cu2+ atom. In the twenty-second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Cr4+ atoms. In the twenty-third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Cr4+, and one Cu2+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Cr4+, and one Cu2+ atom. In the twenty-fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Cr4+, and one Cu2+ atom. In the twenty-sixth O2- site, O2- is bonded to one Li1+, two Cr4+, and one Cu2+ atom to form distorted corner-sharing OLiCr2Cu trigonal pyramids. In the twenty-seventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Cr4+ atoms. In the twenty-eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Cr4+, and one Cu2+ atom. In the twenty-ninth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Cr4+, and one Cu2+ atom. In the thirtieth O2- site, O2- is bonded to one Li1+ and three Cr4+ atoms to form a mixture of distorted edge and corner-sharing OLiCr3 trigonal pyramids. In the thirty-first O2- site, O2- is bonded to one Li1+, two Cr4+, and one Cu2+ atom to form a mixture of distorted edge and corner-sharing OLiCr2Cu trigonal pyramids. In the thirty-second O2- site, O2- is bonded to one Li1+, two Cr4+, and one Cu2+ atom to form distorted OLiCr2Cu trigonal pyramids that share corners with two OLiCr3 trigonal pyramids and an edgeedge with one OLiCr2Cu trigonal pyramid.

36 MATERIALS SCIENCE↗

Materials Data on Li2Cr3CuO8 by Materials Project

Li2Cr3CuO8 is Spinel-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three CuO6 octahedra and corners with nine CrO6 octahedra. The corner-sharing octahedra tilt angles range from 55–64°. There are a spread of Li–O bond distances ranging from 1.96–2.02 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three CuO6 octahedra and corners with nine CrO6 octahedra. The corner-sharing octahedra tilt angles range from 55–64°. There are a spread of Li–O bond distances ranging from 1.96–1.98 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three CuO6 octahedra and corners with nine CrO6 octahedra. The corner-sharing octahedra tilt angles range from 54–65°. There are a spread of Li–O bond distances ranging from 1.98–2.01 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three CuO6 octahedra and corners with nine CrO6 octahedra. The corner-sharing octahedra tilt angles range from 54–63°. There are a spread of Li–O bond distances ranging from 1.97–1.99 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three CuO6 octahedra and corners with nine CrO6 octahedra. The corner-sharing octahedra tilt angles range from 54–64°. There are a spread of Li–O bond distances ranging from 1.98–2.00 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three CuO6 octahedra and corners with nine CrO6 octahedra. The corner-sharing octahedra tilt angles range from 54–63°. There are a spread of Li–O bond distances ranging from 1.97–2.02 Å. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three CuO6 octahedra and corners with nine CrO6 octahedra. The corner-sharing octahedra tilt angles range from 56–63°. There are a spread of Li–O bond distances ranging from 1.97–2.04 Å. In the eighth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three CuO6 octahedra and corners with nine CrO6 octahedra. The corner-sharing octahedra tilt angles range from 55–63°. There are a spread of Li–O bond distances ranging from 1.97–2.02 Å. There are twelve inequivalent Cr4+ sites. In the first Cr4+ site, Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CuO6 octahedra, and edges with four CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 1.90–2.00 Å. In the second Cr4+ site, Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CuO6 octahedra, and edges with four CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 1.90–2.03 Å. In the third Cr4+ site, Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CuO6 octahedra, and edges with four CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 1.97–2.05 Å. In the fourth Cr4+ site, Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CuO6 octahedra, and edges with four CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 1.91–1.98 Å. In the fifth Cr4+ site, Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CuO6 octahedra, and edges with four CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 1.91–1.99 Å. In the sixth Cr4+ site, Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CuO6 octahedra, and edges with four CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 1.90–2.00 Å. In the seventh Cr4+ site, Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CuO6 octahedra, and edges with four CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 1.98–2.05 Å. In the eighth Cr4+ site, Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CuO6 octahedra, and edges with four CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 1.87–1.99 Å. In the ninth Cr4+ site, Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CuO6 octahedra, and edges with four CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 1.90–2.01 Å. In the tenth Cr4+ site, Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CuO6 octahedra, and edges with four CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 1.91–2.00 Å. In the eleventh Cr4+ site, Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CuO6 octahedra, and edges with four CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 1.97–2.04 Å. In the twelfth Cr4+ site, Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CuO6 octahedra, and edges with four CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 1.98–2.04 Å. There are four inequivalent Cu2+ sites. In the first Cu2+ site, Cu2+ is bonded to six O2- atoms to form CuO6 octahedra that share corners with six LiO4 tetrahedra and edges with six CrO6 octahedra. There are a spread of Cu–O bond distances ranging from 2.01–2.05 Å. In the second Cu2+ site, Cu2+ is bonded to six O2- atoms to form CuO6 octahedra that share corners with six LiO4 tetrahedra and edges with six CrO6 octahedra. There are a spread of Cu–O bond distances ranging from 2.00–2.05 Å. In the third Cu2+ site, Cu2+ is bonded to six O2- atoms to form CuO6 octahedra that share corners with six LiO4 tetrahedra and edges with six CrO6 octahedra. There are a spread of Cu–O bond distances ranging from 2.01–2.10 Å. In the fourth Cu2+ site, Cu2+ is bonded to six O2- atoms to form CuO6 octahedra that share corners with six LiO4 tetrahedra and edges with six CrO6 octahedra. There are a spread of Cu–O bond distances ranging from 2.00–2.07 Å. There are thirty-two inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Cr4+, and one Cu2+ atom. In the second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Cr4+, and one Cu2+ atom. In the third O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Cr4+ atoms. In the fourth O2- site, O2- is bonded to one Li1+, two Cr4+, and one Cu2+ atom to form a mixture of distorted corner and edge-sharing OLiCr2Cu trigonal pyramids. In the fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Cr4+, and one Cu2+ atom. In the sixth O2- site, O2- is bonded to one Li1+ and three Cr4+ atoms to form distorted OLiCr3 trigonal pyramids that share corners with two OLiCr3 trigonal pyramids and edges with two OLiCr2Cu trigonal pyramids. In the seventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Cr4+, and one Cu2+ atom. In the eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Cr4+, and one Cu2+ atom. In the ninth O2- site, O2- is bonded to one Li1+, two Cr4+, and one Cu2+ atom to form distorted OLiCr2Cu trigonal pyramids that share corners with three OLiCr3 trigonal pyramids and edges with two OLiCr2Cu trigonal pyramids. In the tenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Cr4+, and one Cu2+ atom. In the eleventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Cr4+ atoms. In the twelfth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Cr4+, and one Cu2+ atom. In the thirteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Cr4+, and one Cu2+ atom. In the fourteenth O2- site, O2- is bonded to one Li1+ and three Cr4+ atoms to form distorted corner-sharing OLiCr3 trigonal pyramids. In the fifteenth O2- site, O2- is bonded to one Li1+, two Cr4+, and one Cu2+ atom to form distorted OLiCr2Cu trigonal pyramids that share corners with three OLiCr2Cu trigonal pyramids and edges with two OLiCr3 trigonal pyramids. In the sixteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Cr4+, and one Cu2+ atom. In the seventeenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Cr4+, and one Cu2+ atom. In the eighteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Cr4+, and one Cu2+ atom. In the nineteenth O2- site, O2- is bonded to one Li1+ and three Cr4+ atoms to form distorted OLiCr3 trigonal pyramids that share corners with two OLiCr3 trigonal pyramids and edges with two OLiCr2Cu trigonal pyramids. In the twentieth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Cr4+, and one Cu2+ atom. In the twenty-first O2- site, O2- is bonded to one Li1+, two Cr4+, and one Cu2+ atom to form distorted OLiCr2Cu trigonal pyramids that share corners with three OLiCr2Cu trigonal pyramids and edges with two OLiCr3 trigonal pyramids. In the twenty-second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Cr4+ atoms. In the twenty-third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Cr4+, and one Cu2+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Cr4+, and one Cu2+ atom. In the twenty-fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Cr4+, and one Cu2+ atom. In the twenty-sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Cr4+, and one Cu2+ atom. In the twenty-seventh O2- site, O2- is bonded to one Li1+ and three Cr4+ atoms to form distorted OLiCr3 trigonal pyramids that share corners with four OLiCr3 trigonal pyramids and an edgeedge with one OLiCr2Cu trigonal pyramid. In the twenty-eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Cr4+, and one Cu2+ atom. In the twenty-ninth O2- site, O2- is bonded to one Li1+, two Cr4+, and one Cu2+ atom to form distorted OLiCr2Cu trigonal pyramids that share corners with two OLiCr2Cu trigonal pyramids and an edgeedge with one OLiCr3 trigonal pyramid. In the thirtieth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Cr4+ atoms. In the thirty-first O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, two Cr4+, and one Cu2+ atom. In the thirty-second O2- site, O2- is bonded to one Li1+, two Cr4+, and one Cu2+ atom to form distorted corner-sharing OLiCr2Cu trigonal pyramids.

36 MATERIALS SCIENCE↗

Materials Data on Li6MnV3(PO4)6 by Materials Project

Li6V3Mn(PO4)6 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twelve inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.01–2.82 Å. In the second Li1+ site, Li1+ is bonded in a distorted trigonal non-coplanar geometry to three O2- atoms. There are a spread of Li–O bond distances ranging from 1.90–2.01 Å. In the third Li1+ site, Li1+ is bonded in a 3-coordinate geometry to three O2- atoms. There are a spread of Li–O bond distances ranging from 1.93–2.01 Å. In the fourth Li1+ site, Li1+ is bonded in a distorted trigonal non-coplanar geometry to three O2- atoms. There are a spread of Li–O bond distances ranging from 1.90–2.11 Å. In the fifth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.94–2.57 Å. In the sixth Li1+ site, Li1+ is bonded in a distorted trigonal planar geometry to three O2- atoms. There is one shorter (1.91 Å) and two longer (1.96 Å) Li–O bond length. In the seventh Li1+ site, Li1+ is bonded in a trigonal non-coplanar geometry to three O2- atoms. There are a spread of Li–O bond distances ranging from 1.90–2.00 Å. In the eighth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 1.97–2.77 Å. In the ninth Li1+ site, Li1+ is bonded in a distorted trigonal non-coplanar geometry to three O2- atoms. There are a spread of Li–O bond distances ranging from 1.90–2.07 Å. In the tenth Li1+ site, Li1+ is bonded in a distorted see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.93–2.38 Å. In the eleventh Li1+ site, Li1+ is bonded in a distorted see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.92–2.48 Å. In the twelfth Li1+ site, Li1+ is bonded in a distorted trigonal non-coplanar geometry to three O2- atoms. There are a spread of Li–O bond distances ranging from 1.91–2.04 Å. There are six inequivalent V+3.33+ sites. In the first V+3.33+ site, V+3.33+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one VO6 octahedra. There are a spread of V–O bond distances ranging from 1.93–2.14 Å. In the second V+3.33+ site, V+3.33+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and edges with three VO6 octahedra. There are a spread of V–O bond distances ranging from 2.01–2.04 Å. In the third V+3.33+ site, V+3.33+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one VO6 octahedra. There are a spread of V–O bond distances ranging from 1.98–2.11 Å. In the fourth V+3.33+ site, V+3.33+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one VO6 octahedra. There are a spread of V–O bond distances ranging from 1.93–2.14 Å. In the fifth V+3.33+ site, V+3.33+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one VO6 octahedra. There are a spread of V–O bond distances ranging from 1.97–2.14 Å. In the sixth V+3.33+ site, V+3.33+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra, an edgeedge with one VO6 octahedra, and edges with two MnO6 octahedra. There are a spread of V–O bond distances ranging from 1.98–2.05 Å. There are two inequivalent Mn2+ sites. In the first Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one VO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.99–2.26 Å. In the second Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one VO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.93–2.21 Å. There are twelve inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and corners with two MnO6 octahedra. The corner-sharing octahedra tilt angles range from 44–54°. There is three shorter (1.54 Å) and one longer (1.61 Å) P–O bond length. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra and corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 43–55°. There are a spread of P–O bond distances ranging from 1.53–1.59 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra and corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 44–54°. There are a spread of P–O bond distances ranging from 1.53–1.58 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four VO6 octahedra. The corner-sharing octahedra tilt angles range from 41–54°. There are a spread of P–O bond distances ranging from 1.54–1.59 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four VO6 octahedra. The corner-sharing octahedra tilt angles range from 43–55°. There are a spread of P–O bond distances ranging from 1.53–1.60 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra and corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 42–53°. There are a spread of P–O bond distances ranging from 1.53–1.57 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra and corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 40–58°. There are a spread of P–O bond distances ranging from 1.52–1.60 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra and corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 42–54°. There are a spread of P–O bond distances ranging from 1.52–1.61 Å. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra and corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 43–56°. There are a spread of P–O bond distances ranging from 1.53–1.60 Å. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and corners with two MnO6 octahedra. The corner-sharing octahedra tilt angles range from 42–58°. There are a spread of P–O bond distances ranging from 1.53–1.61 Å. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra and corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 42–57°. There are a spread of P–O bond distances ranging from 1.52–1.61 Å. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra and corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 43–57°. There are a spread of P–O bond distances ranging from 1.52–1.61 Å. There are forty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a 2-coordinate geometry to one Mn2+ and one P5+ atom. In the second O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Li1+ and one P5+ atom. In the third O2- site, O2- is bonded in a distorted trigonal planar geometry to two V+3.33+ and one P5+ atom. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to two V+3.33+ and one P5+ atom. In the fifth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Mn2+, and one P5+ atom. In the sixth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Mn2+ and one P5+ atom. In the seventh O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Li1+ and one P5+ atom. In the eighth O2- site, O2- is bonded in a 2-coordinate geometry to one V+3.33+ and one P5+ atom. In the ninth O2- site, O2- is bonded in a 3-coordinate geometry to two V+3.33+ and one P5+ atom. In the tenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one V+3.33+, and one P5+ atom. In the eleventh O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one V+3.33+, and one P5+ atom. In the twelfth O2- site, O2- is bonded in a distorted tetrahedral geometry to three Li1+ and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a 3-coordinate geometry to two V+3.33+ and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a distorted tetrahedral geometry to three Li1+ and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one V+3.33+, and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+3.33+, and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a 3-coordinate geometry to two V+3.33+ and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a 3-coordinate geometry to two V+3.33+ and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a 2-coordinate geometry to one V+3.33+ and one P5+ atom. In the twentieth O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, one V+3.33+, and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Li1+ and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a 3-coordinate geometry to three Li1+ and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one V+3.33+, and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one V+3.33+ and one P5+ atom. In the twenty-fifth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one V+3.33+ and one P5+ atom. In the twenty-sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+3.33+, and one P5+ atom. In the twenty-seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to two Li1+ and one P5+ atom. In the twenty-eighth O2- site, O2- is bonded in a distorted T-shaped geometry to two Li1+ and one P5+ atom. In the twenty-ninth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn2+, and one P5+ atom. In the thirtieth O2- site, O2- is bonded in a 2-coordinate geometry to one V+3.33+ and one P5+ atom. In the thirty-first O2- site, O2- is bonded in a 3-coordinate geometry to one V+3.33+, one Mn2+, and one P5+ atom. In the thirty-second O2- site, O2- is bonded in a 3-coordinate geometry to two V+3.33+ and one P5+ atom. In the thirty-third O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one V+3.33+, and one P5+ atom. In the thirty-fourth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Mn2+ and one P5+ atom. In the thirty-fifth O2- site, O2- is bonded in a 4-coordinate geometry to three Li1+ and one P5+ atom. In the thirty-sixth O2- site, O2- is bonded in a 3-coordinate geometry to two V+3.33+ and one P5+ atom. In the thirty-seventh O2- site, O2- is bonded in a 4-coordinate geometry to three Li1+ and one P5+ atom. In the thirty-eighth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Mn2+ and one P5+ atom. In the thirty-ninth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Mn2+,

36 MATERIALS SCIENCE↗

Materials Data on Li2Ti3CoO8 by Materials Project

Li2CoTi3O8 is Spinel-derived structured and crystallizes in the monoclinic C2 space group. The structure is three-dimensional. there are five inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three CoO6 octahedra and corners with nine TiO6 octahedra. The corner-sharing octahedra tilt angles range from 56–64°. All Li–O bond lengths are 2.01 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three CoO6 octahedra and corners with nine TiO6 octahedra. The corner-sharing octahedra tilt angles range from 56–64°. There are one shorter (2.00 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 three CoO6 octahedra and corners with nine TiO6 octahedra. The corner-sharing octahedra tilt angles range from 56–64°. There are three shorter (2.01 Å) and one longer (2.02 Å) Li–O bond lengths. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three CoO6 octahedra and corners with nine TiO6 octahedra. The corner-sharing octahedra tilt angles range from 56–64°. There are three shorter (2.01 Å) and one longer (2.02 Å) Li–O bond lengths. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three CoO6 octahedra and corners with nine TiO6 octahedra. The corner-sharing octahedra tilt angles range from 56–64°. All Li–O bond lengths are 2.01 Å. There are nine 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, edges with two CoO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.92–2.04 Å. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CoO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.92–2.05 Å. In the third Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CoO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.93–2.04 Å. In the fourth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CoO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.92–2.05 Å. In the fifth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CoO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.94–2.02 Å. In the sixth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CoO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.92–2.04 Å. In the seventh Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CoO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.94–2.02 Å. In the eighth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CoO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.92–2.05 Å. In the ninth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CoO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.94–2.02 Å. There are four inequivalent Co2+ sites. In the first Co2+ site, Co2+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO4 tetrahedra and edges with six TiO6 octahedra. There are four shorter (2.12 Å) and two longer (2.13 Å) Co–O bond lengths. In the second Co2+ site, Co2+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO4 tetrahedra and edges with six TiO6 octahedra. There are two shorter (2.11 Å) and four longer (2.13 Å) Co–O bond lengths. In the third Co2+ site, Co2+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO4 tetrahedra and edges with six TiO6 octahedra. There are four shorter (2.12 Å) and two longer (2.13 Å) Co–O bond lengths. In the fourth Co2+ site, Co2+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO4 tetrahedra and edges with six TiO6 octahedra. All Co–O bond lengths are 2.12 Å. There are twenty-nine inequivalent O2- sites. In the first O2- site, O2- is bonded to one Li1+, two Ti4+, and one Co2+ atom to form distorted OLiTi2Co trigonal pyramids that share corners with eleven OLiTi3 trigonal pyramids and edges with three OLiTi2Co trigonal pyramids. In the second O2- site, O2- is bonded to one Li1+, two Ti4+, and one Co2+ atom to form a mixture of distorted edge and corner-sharing OLiTi2Co trigonal pyramids. In the third O2- site, O2- is bonded to one Li1+ and three Ti4+ atoms to form a mixture of distorted edge and corner-sharing OLiTi3 trigonal pyramids. In the fourth O2- site, O2- is bonded to one Li1+, two Ti4+, and one Co2+ atom to form a mixture of distorted edge and corner-sharing OLiTi2Co trigonal pyramids. In the fifth O2- site, O2- is bonded to one Li1+, two Ti4+, and one Co2+ atom to form distorted OLiTi2Co trigonal pyramids that share corners with eleven OLiTi2Co trigonal pyramids and edges with three OLiTi3 trigonal pyramids. In the sixth O2- site, O2- is bonded to one Li1+ and three Ti4+ atoms to form a mixture of distorted edge and corner-sharing OLiTi3 trigonal pyramids. The O–Li bond length is 2.01 Å. In the seventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Ti4+, and one Co2+ atom. The O–Li bond length is 2.01 Å. In the eighth O2- site, O2- is bonded to one Li1+, two Ti4+, and one Co2+ atom to form a mixture of distorted edge and corner-sharing OLiTi2Co trigonal pyramids. The O–Ti bond length is 1.92 Å. In the ninth O2- site, O2- is bonded to one Li1+, two Ti4+, and one Co2+ atom to form a mixture of distorted edge and corner-sharing OLiTi2Co trigonal pyramids. In the tenth O2- site, O2- is bonded to one Li1+, two Ti4+, and one Co2+ atom to form a mixture of distorted edge and corner-sharing OLiTi2Co trigonal pyramids. In the eleventh O2- site, O2- is bonded to one Li1+ and three Ti4+ atoms to form distorted OLiTi3 trigonal pyramids that share corners with eleven OLiTi3 trigonal pyramids and edges with two OLiTi2Co trigonal pyramids. In the twelfth O2- site, O2- is bonded to one Li1+, two Ti4+, and one Co2+ atom to form a mixture of distorted edge and corner-sharing OLiTi2Co trigonal pyramids. In the thirteenth O2- site, O2- is bonded to one Li1+, two Ti4+, and one Co2+ atom to form a mixture of distorted edge and corner-sharing OLiTi2Co trigonal pyramids. The O–Ti bond length is 1.98 Å. In the fourteenth O2- site, O2- is bonded to one Li1+, two Ti4+, and one Co2+ atom to form a mixture of distorted edge and corner-sharing OLiTi2Co trigonal pyramids. The O–Ti bond length is 1.99 Å. In the fifteenth O2- site, O2- is bonded to one Li1+, two Ti4+, and one Co2+ atom to form distorted OLiTi2Co trigonal pyramids that share corners with twelve OLiTi2Co trigonal pyramids and edges with two OLiTi3 trigonal pyramids. The O–Li bond length is 2.01 Å. The O–Ti bond length is 1.99 Å. In the sixteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Ti4+, and one Co2+ atom. The O–Ti bond length is 1.93 Å. In the seventeenth O2- site, O2- is bonded to one Li1+ and three Ti4+ atoms to form distorted OLiTi3 trigonal pyramids that share corners with eleven OLiTi3 trigonal pyramids and edges with three OLiTi2Co trigonal pyramids. Both O–Ti bond lengths are 2.04 Å. In the eighteenth O2- site, O2- is bonded to one Li1+, two Ti4+, and one Co2+ atom to form a mixture of distorted edge and corner-sharing OLiTi2Co trigonal pyramids. The O–Li bond length is 2.01 Å. The O–Ti bond length is 1.92 Å. In the nineteenth O2- site, O2- is bonded to one Li1+ and three Ti4+ atoms to form a mixture of distorted edge and corner-sharing OLiTi3 trigonal pyramids. There are one shorter (2.04 Å) and one longer (2.05 Å) O–Ti bond lengths. In the twentieth O2- site, O2- is bonded to one Li1+, two Ti4+, and one Co2+ atom to form distorted OLiTi2Co trigonal pyramids that share corners with eleven OLiTi2Co trigonal pyramids and edges with three OLiTi3 trigonal pyramids. In the twenty-first O2- site, O2- is bonded to one Li1+, two Ti4+, and one Co2+ atom to form distorted OLiTi2Co trigonal pyramids that share corners with eleven OLiTi2Co trigonal pyramids and edges with three OLiTi3 trigonal pyramids. The O–Li bond length is 2.01 Å. In the twenty-second O2- site, O2- is bonded to one Li1+, two Ti4+, and one Co2+ atom to form a mixture of distorted edge and corner-sharing OLiTi2Co trigonal pyramids. The O–Li bond length is 2.01 Å. The O–Ti bond length is 1.94 Å. In the twenty-third O2- site, O2- is bonded to one Li1+, two Ti4+, and one Co2+ atom to form distorted OLiTi2Co trigonal pyramids that share corners with twelve OLiTi3 trigonal pyramids and edges with three OLiTi2Co trigonal pyramids. The O–Ti bond length is 1.98 Å. In the twenty-fourth O2- site, O2- is bonded to one Li1+ and three Ti4+ atoms to form distorted OLiTi3 trigonal pyramids that share corners with twelve OLiTi3 trigonal pyramids and edges with three OLiTi2Co trigonal pyramids. In the twenty-fifth O2- site, O2- is bonded to one Li1+, two Ti4+, and one Co2+ atom to form distorted OLiTi2Co trigonal pyramids that share corners with ten OLiTi3 trigonal pyramids and edges with three OLiTi2Co trigonal pyramids. In the twenty-sixth O2- site, O2- is bonded to one Li1+, two Ti4+, and one Co2+ atom to form distorted OLiTi2Co trigonal pyramids that share corners with ten OLiTi2Co trigonal pyramids and edges with three OLiTi3 trigonal pyramids. The O–Li bond length is 2.01 Å. In the twenty-seventh O2- site, O2- is bonded to one Li1+ and three Ti4+ atoms to form a mixture of distorted edge and corner-sharing OLiTi3 trigonal pyramids. The O–Li bond length is 2.01 Å. In the twenty-eighth O2- site, O2- is bonded to one Li1+, two Ti4+, and one Co2+ atom to form distorted OLiTi2Co trigonal pyramids that share corners with twelve OLiTi2Co trigonal pyramids and edges with three OLiTi3 trigonal pyramids. The O–Li bond length is 2.01 Å. In the twenty-ninth O2- site, O2- is bonded to one Li1+, two Ti4+, and one Co2+ atom to form a mixture of distorted edge and corner-sharing OLiTi2Co trigonal pyramids.

36 MATERIALS SCIENCE↗

Materials Data on Li2TiCr3O8 by Materials Project

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

36 MATERIALS SCIENCE↗

Materials Data on Mn5Cu(Te2O5)6 by Materials Project

Mn5Cu(Te2O5)6 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eighteen inequivalent Mn2+ sites. In the first Mn2+ site, Mn2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Mn–O bond distances ranging from 2.25–2.52 Å. In the second Mn2+ site, Mn2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Mn–O bond distances ranging from 2.25–2.52 Å. In the third Mn2+ site, Mn2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Mn–O bond distances ranging from 2.28–2.46 Å. In the fourth Mn2+ site, Mn2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Mn–O bond distances ranging from 2.27–2.45 Å. In the fifth Mn2+ site, Mn2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Mn–O bond distances ranging from 2.26–2.46 Å. In the sixth Mn2+ site, Mn2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Mn–O bond distances ranging from 2.27–2.45 Å. In the seventh Mn2+ site, Mn2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Mn–O bond distances ranging from 2.26–2.46 Å. In the eighth Mn2+ site, Mn2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Mn–O bond distances ranging from 2.27–2.45 Å. In the ninth Mn2+ site, Mn2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Mn–O bond distances ranging from 2.25–2.52 Å. In the tenth Mn2+ site, Mn2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Mn–O bond distances ranging from 2.25–2.52 Å. In the eleventh Mn2+ site, Mn2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Mn–O bond distances ranging from 2.28–2.46 Å. In the twelfth Mn2+ site, Mn2+ is bonded in a distorted octahedral geometry to six O2- atoms. There are a spread of Mn–O bond distances ranging from 2.13–2.47 Å. In the thirteenth Mn2+ site, Mn2+ is bonded in a distorted octahedral geometry to six O2- atoms. There are a spread of Mn–O bond distances ranging from 2.13–2.52 Å. In the fourteenth Mn2+ site, Mn2+ is bonded in a distorted octahedral geometry to six O2- atoms. There are four shorter (2.13 Å) and two longer (2.52 Å) Mn–O bond lengths. In the fifteenth Mn2+ site, Mn2+ is bonded in a distorted octahedral geometry to six O2- atoms. There are four shorter (2.14 Å) and two longer (2.52 Å) Mn–O bond lengths. In the sixteenth Mn2+ site, Mn2+ is bonded in a distorted octahedral geometry to six O2- atoms. There are a spread of Mn–O bond distances ranging from 2.14–2.46 Å. In the seventeenth Mn2+ site, Mn2+ is bonded in a distorted octahedral geometry to six O2- atoms. There are a spread of Mn–O bond distances ranging from 2.14–2.46 Å. In the eighteenth Mn2+ site, Mn2+ is bonded in a distorted octahedral geometry to six O2- atoms. There are a spread of Mn–O bond distances ranging from 2.14–2.46 Å. There are three inequivalent Cu2+ sites. In the first Cu2+ site, Cu2+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Cu–O bond distances ranging from 2.00–2.63 Å. In the second Cu2+ site, Cu2+ is bonded in a 6-coordinate geometry to six O2- atoms. There are four shorter (2.00 Å) and two longer (2.61 Å) Cu–O bond lengths. In the third Cu2+ site, Cu2+ is bonded in a distorted octahedral geometry to six O2- atoms. There are four shorter (2.01 Å) and two longer (2.55 Å) Cu–O bond lengths. There are thirty-one inequivalent Te4+ sites. In the first Te4+ site, Te4+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Te–O bond distances ranging from 1.92–2.28 Å. In the second Te4+ site, Te4+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Te–O bond distances ranging from 1.91–2.28 Å. In the third Te4+ site, Te4+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Te–O bond distances ranging from 1.92–2.28 Å. In the fourth Te4+ site, Te4+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Te–O bond distances ranging from 1.92–2.29 Å. In the fifth Te4+ site, Te4+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Te–O bond distances ranging from 1.92–2.27 Å. In the sixth Te4+ site, Te4+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Te–O bond distances ranging from 1.92–2.28 Å. In the seventh Te4+ site, Te4+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Te–O bond distances ranging from 1.91–2.26 Å. In the eighth Te4+ site, Te4+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Te–O bond distances ranging from 1.91–2.26 Å. In the ninth Te4+ site, Te4+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Te–O bond distances ranging from 1.91–2.27 Å. In the tenth Te4+ site, Te4+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Te–O bond distances ranging from 1.91–2.27 Å. In the eleventh Te4+ site, Te4+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Te–O bond distances ranging from 1.91–2.26 Å. In the twelfth Te4+ site, Te4+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Te–O bond distances ranging from 1.91–2.27 Å. In the thirteenth Te4+ site, Te4+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Te–O bond distances ranging from 1.91–2.27 Å. In the fourteenth Te4+ site, Te4+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Te–O bond distances ranging from 1.91–2.26 Å. In the fifteenth Te4+ site, Te4+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Te–O bond distances ranging from 1.91–2.27 Å. In the sixteenth Te4+ site, Te4+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Te–O bond distances ranging from 1.91–2.27 Å. In the seventeenth Te4+ site, Te4+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Te–O bond distances ranging from 1.91–2.27 Å. In the eighteenth Te4+ site, Te4+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Te–O bond distances ranging from 1.91–2.26 Å. In the nineteenth Te4+ site, Te4+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Te–O bond distances ranging from 1.91–2.27 Å. In the twentieth Te4+ site, Te4+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Te–O bond distances ranging from 1.91–2.27 Å. In the twenty-first Te4+ site, Te4+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Te–O bond distances ranging from 1.91–2.26 Å. In the twenty-second Te4+ site, Te4+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Te–O bond distances ranging from 1.91–2.28 Å. In the twenty-third Te4+ site, Te4+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Te–O bond distances ranging from 1.91–2.27 Å. In the twenty-fourth Te4+ site, Te4+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Te–O bond distances ranging from 1.91–2.27 Å. In the twenty-fifth Te4+ site, Te4+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Te–O bond distances ranging from 1.91–2.26 Å. In the twenty-sixth Te4+ site, Te4+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Te–O bond distances ranging from 1.91–2.26 Å. In the twenty-seventh Te4+ site, Te4+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Te–O bond distances ranging from 1.91–2.27 Å. In the twenty-eighth Te4+ site, Te4+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Te–O bond distances ranging from 1.91–2.28 Å. In the twenty-ninth Te4+ site, Te4+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Te–O bond distances ranging from 1.92–2.28 Å. In the thirtieth Te4+ site, Te4+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Te–O bond distances ranging from 1.92–2.29 Å. In the thirty-first Te4+ site, Te4+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Te–O bond distances ranging from 1.92–2.28 Å. There are one hundred and nineteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Mn2+, one Cu2+, and one Te4+ atom. The O–Cu bond length is 2.00 Å. The O–Te bond length is 1.92 Å. In the second O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Mn2+, one Cu2+, and one Te4+ atom. The O–Te bond length is 1.92 Å. In the third O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Mn2+, one Cu2+, and one Te4+ atom. In the fourth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Mn2+ and one Te4+ atom. There are one shorter (2.14 Å) and one longer (2.27 Å) O–Mn bond lengths. The O–Te bond length is 1.91 Å. In the fifth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Mn2+, one Cu2+, and one Te4+ atom. The O–Te bond length is 1.92 Å. In the sixth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Mn2+ and one Te4+ atom. The O–Te bond length is 1.91 Å. In the seventh O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Mn2+ and one Te4+ atom. There are one shorter (2.14 Å) and one longer (2.27 Å) O–Mn bond lengths. The O–Te bond length is 1.91 Å. In the eighth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Mn2+, one Cu2+, and one Te4+ atom. In the ninth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Mn2+ and one Te4+ atom. In the tenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Mn2+, one Cu2+, and one Te4+ atom. The O–Cu bond length is 2.00 Å. In the eleventh O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Mn2+, one Cu2+, and one Te4+ atom. In the twelfth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Mn2+, one Cu2+, and one Te4+ atom. In the thirteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Mn2+ and one Te4+ atom. In the fourteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Mn2+ and one Te4+ atom. In the fifteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Mn2+ and one Te4+ atom. In the sixteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Mn2+ and one Te4+ atom. In the seventeenth O2- site, O2- is bonded in a 3-coordinate geometry to two Mn2+ and one Te4+ atom. In the eighteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Mn2+ and one Te4+ atom. In the nineteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Mn2+ and one Te4+ atom. In the twentieth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Mn2+ and one Te4+ atom. The O–Te bond length is 1.91 Å. In the twenty-first O2- site, O2- is bonded in a 3-coordinate geometry to two Mn2+ and one Te4+ atom. In the twenty-second O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Mn2+ and one Te4+ atom. In the twenty-third O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Mn2+ and one Te4+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Mn2+ and one Te4+ atom. In the twenty-fifth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Mn2+ and one Te4+ atom. In the twenty-sixth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Mn2+ and one Te4+ atom. In the twenty

36 MATERIALS SCIENCE↗

Materials Data on Li7V8(PO4)12 by Materials Project

Li7V8(PO4)12 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are seven inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.97–2.06 Å. In the second Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.97–2.03 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 trigonal pyramids that share corners with four PO4 tetrahedra and edges with two VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.97–2.01 Å. In the fourth Li1+ site, Li1+ is bonded in a distorted see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.93–2.03 Å. In the fifth Li1+ site, Li1+ is bonded in a distorted see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.94–2.02 Å. In the sixth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 2.00–2.06 Å. In the seventh Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.98–2.08 Å. There are eight inequivalent V+3.62+ sites. In the first V+3.62+ site, V+3.62+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one LiO4 trigonal pyramid. There are a spread of V–O bond distances ranging from 1.83–2.01 Å. In the second V+3.62+ site, V+3.62+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one LiO4 trigonal pyramid. There are a spread of V–O bond distances ranging from 1.87–2.01 Å. In the third V+3.62+ site, V+3.62+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 2.00–2.10 Å. In the fourth V+3.62+ site, V+3.62+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.98–2.09 Å. In the fifth V+3.62+ site, V+3.62+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.84–2.00 Å. In the sixth V+3.62+ site, V+3.62+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.86–2.02 Å. In the seventh V+3.62+ site, V+3.62+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.96–2.10 Å. In the eighth V+3.62+ site, V+3.62+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.89–2.05 Å. There are twelve inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four VO6 octahedra. The corner-sharing octahedra tilt angles range from 23–38°. There are a spread of P–O bond distances ranging from 1.52–1.57 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four VO6 octahedra and a cornercorner with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 26–37°. There is two shorter (1.53 Å) and two longer (1.55 Å) P–O bond length. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four VO6 octahedra. The corner-sharing octahedra tilt angles range from 24–37°. There are a spread of P–O bond distances ranging from 1.51–1.57 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four VO6 octahedra. The corner-sharing octahedra tilt angles range from 16–43°. There is two shorter (1.54 Å) and two longer (1.55 Å) P–O bond length. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four VO6 octahedra. The corner-sharing octahedra tilt angles range from 23–36°. There are a spread of P–O bond distances ranging from 1.52–1.56 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four VO6 octahedra. The corner-sharing octahedra tilt angles range from 16–45°. There are a spread of P–O bond distances ranging from 1.54–1.56 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four VO6 octahedra. The corner-sharing octahedra tilt angles range from 21–46°. There are a spread of P–O bond distances ranging from 1.52–1.58 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four VO6 octahedra and a cornercorner with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 18–38°. There is one shorter (1.52 Å) and three longer (1.56 Å) P–O bond length. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four VO6 octahedra. The corner-sharing octahedra tilt angles range from 19–42°. There are a spread of P–O bond distances ranging from 1.53–1.57 Å. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four VO6 octahedra. The corner-sharing octahedra tilt angles range from 17–42°. There are a spread of P–O bond distances ranging from 1.52–1.57 Å. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four VO6 octahedra and a cornercorner with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 14–47°. There are a spread of P–O bond distances ranging from 1.52–1.57 Å. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four VO6 octahedra and a cornercorner with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 15–41°. There are a spread of P–O bond distances ranging from 1.51–1.56 Å. There are forty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+3.62+, and one P5+ atom. In the second O2- site, O2- is bonded in a bent 150 degrees geometry to one V+3.62+ and one P5+ atom. In the third O2- site, O2- is bonded in a bent 150 degrees geometry to one V+3.62+ and one P5+ atom. In the fourth O2- site, O2- is bonded in a distorted linear geometry to one V+3.62+ and one P5+ atom. In the fifth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+3.62+ and one P5+ atom. In the sixth O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one V+3.62+, and one P5+ atom. In the seventh O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+3.62+, and one P5+ atom. In the eighth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one V+3.62+ and one P5+ atom. In the ninth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one V+3.62+, and one P5+ atom. In the tenth O2- site, O2- is bonded in a distorted linear geometry to one V+3.62+ and one P5+ atom. In the eleventh O2- site, O2- is bonded in a bent 150 degrees geometry to one V+3.62+ and one P5+ atom. In the twelfth O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one V+3.62+, and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one V+3.62+, and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a distorted linear geometry to one V+3.62+ and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+3.62+, and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+3.62+, and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one V+3.62+, and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+3.62+, and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+3.62+, and one P5+ atom. In the twentieth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+3.62+, and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+3.62+, and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a bent 150 degrees geometry to one V+3.62+ and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one V+3.62+ and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one V+3.62+, and one P5+ atom. In the twenty-fifth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+3.62+, and one P5+ atom. In the twenty-sixth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one V+3.62+ and one P5+ atom. In the twenty-seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+3.62+, and one P5+ atom. In the twenty-eighth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+3.62+ and one P5+ atom. In the twenty-ninth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+3.62+, and one P5+ atom. In the thirtieth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+3.62+ and one P5+ atom. In the thirty-first O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one V+3.62+ and one P5+ atom. In the thirty-second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+3.62+, and one P5+ atom. In the thirty-third O2- site, O2- is bonded in a linear geometry to one V+3.62+ and one P5+ atom. In the thirty-fourth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+3.62+ and one P5+ atom. In the thirty-fifth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+3.62+ and one P5+ atom. In the thirty-sixth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one V+3.62+, and one P5+ atom. In the thirty-seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+3.62+, and one P5+ atom. In the thirty-eighth O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one V+3.62+, and one P5+ atom. In the thirty-ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+3.62+, and one P5+ atom. In the fortieth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+3.62+ and one P5+ atom. In the forty-first O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+3.62+, and one P5+ atom. In the forty-second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+3.62+, and one P5+ atom. In the forty-third O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+3.62+, and one P5+ atom. In the forty-fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+3.62+, and one P5+ atom. In the forty-fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+3.62+, and one P5+ atom. In the forty-sixth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+3.62+, and one P5+ atom. In the forty-seventh O2- site, O2- is bonded in a bent 150 degrees geometry to one V+3.62+ and one P5+ atom. In the forty-eighth O2- site, O2- is bonded in a linear geometry to one V+3.62+ and one P5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li2MnV3O8 by Materials Project

Li2V3MnO8 is Spinel-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three MnO6 octahedra and corners with nine VO6 octahedra. The corner-sharing octahedra tilt angles range from 54–63°. There are a spread of Li–O bond distances ranging from 2.01–2.04 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three MnO6 octahedra and corners with nine VO6 octahedra. The corner-sharing octahedra tilt angles range from 55–66°. There are a spread of Li–O bond distances ranging from 1.99–2.04 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three MnO6 octahedra and corners with nine VO6 octahedra. The corner-sharing octahedra tilt angles range from 54–63°. There are a spread of Li–O bond distances ranging from 2.01–2.05 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three MnO6 octahedra and corners with nine VO6 octahedra. The corner-sharing octahedra tilt angles range from 55–64°. There are a spread of Li–O bond distances ranging from 2.00–2.05 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three MnO6 octahedra and corners with nine VO6 octahedra. The corner-sharing octahedra tilt angles range from 55–63°. There are a spread of Li–O bond distances ranging from 2.01–2.05 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three MnO6 octahedra and corners with nine VO6 octahedra. The corner-sharing octahedra tilt angles range from 55–63°. There are one shorter (2.01 Å) and three longer (2.02 Å) Li–O bond lengths. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three MnO6 octahedra and corners with nine VO6 octahedra. The corner-sharing octahedra tilt angles range from 54–65°. There are a spread of Li–O bond distances ranging from 2.02–2.06 Å. In the eighth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three MnO6 octahedra and corners with nine VO6 octahedra. The corner-sharing octahedra tilt angles range from 51–63°. There are a spread of Li–O bond distances ranging from 2.00–2.06 Å. There are twelve inequivalent V4+ sites. In the first V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six LiO4 tetrahedra, edges with two MnO6 octahedra, and edges with four VO6 octahedra. There are a spread of V–O bond distances ranging from 1.99–2.11 Å. In the second V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six LiO4 tetrahedra, edges with two MnO6 octahedra, and edges with four VO6 octahedra. There are a spread of V–O bond distances ranging from 1.89–2.04 Å. In the third V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six LiO4 tetrahedra, edges with two MnO6 octahedra, and edges with four VO6 octahedra. There are a spread of V–O bond distances ranging from 1.90–2.04 Å. In the fourth V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six LiO4 tetrahedra, edges with two MnO6 octahedra, and edges with four VO6 octahedra. There are a spread of V–O bond distances ranging from 1.88–2.06 Å. In the fifth V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six LiO4 tetrahedra, edges with two MnO6 octahedra, and edges with four VO6 octahedra. There are a spread of V–O bond distances ranging from 1.89–2.04 Å. In the sixth V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six LiO4 tetrahedra, edges with two MnO6 octahedra, and edges with four VO6 octahedra. There are a spread of V–O bond distances ranging from 2.00–2.12 Å. In the seventh V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six LiO4 tetrahedra, edges with two MnO6 octahedra, and edges with four VO6 octahedra. There are a spread of V–O bond distances ranging from 2.01–2.08 Å. In the eighth V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six LiO4 tetrahedra, edges with two MnO6 octahedra, and edges with four VO6 octahedra. There are a spread of V–O bond distances ranging from 1.89–2.07 Å. In the ninth V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six LiO4 tetrahedra, edges with two MnO6 octahedra, and edges with four VO6 octahedra. There are a spread of V–O bond distances ranging from 1.88–2.04 Å. In the tenth V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six LiO4 tetrahedra, edges with two MnO6 octahedra, and edges with four VO6 octahedra. There are a spread of V–O bond distances ranging from 1.86–2.04 Å. In the eleventh V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six LiO4 tetrahedra, edges with two MnO6 octahedra, and edges with four VO6 octahedra. There are a spread of V–O bond distances ranging from 1.89–2.06 Å. In the twelfth V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six LiO4 tetrahedra, edges with two MnO6 octahedra, and edges with four VO6 octahedra. There are a spread of V–O bond distances ranging from 1.99–2.11 Å. There are four inequivalent Mn2+ sites. In the first Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra and edges with six VO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.97–2.17 Å. In the second Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra and edges with six VO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.95–2.16 Å. In the third Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra and edges with six VO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.95–2.16 Å. In the fourth Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra and edges with six VO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.94–2.14 Å. There are thirty-two inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two V4+, and one Mn2+ atom. In the second O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, two V4+, and one Mn2+ atom. In the third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three V4+ atoms. In the fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two V4+, and one Mn2+ atom. In the fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two V4+, and one Mn2+ atom. In the sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three V4+ atoms. In the seventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two V4+, and one Mn2+ atom. In the eighth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, two V4+, and one Mn2+ atom. In the ninth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two V4+, and one Mn2+ atom. In the tenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two V4+, and one Mn2+ atom. In the eleventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three V4+ atoms. In the twelfth O2- site, O2- is bonded in a distorted trigonal pyramidal geometry to one Li1+, two V4+, and one Mn2+ atom. In the thirteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two V4+, and one Mn2+ atom. In the fourteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three V4+ atoms. In the fifteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two V4+, and one Mn2+ atom. In the sixteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two V4+, and one Mn2+ atom. In the seventeenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two V4+, and one Mn2+ atom. In the eighteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two V4+, and one Mn2+ atom. In the nineteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three V4+ atoms. In the twentieth O2- site, O2- is bonded to one Li1+, two V4+, and one Mn2+ atom to form distorted OLiMnV2 trigonal pyramids that share corners with two OLiMnV2 trigonal pyramids and an edgeedge with one OLiV3 trigonal pyramid. In the twenty-first O2- site, O2- is bonded to one Li1+, two V4+, and one Mn2+ atom to form distorted corner-sharing OLiMnV2 trigonal pyramids. In the twenty-second O2- site, O2- is bonded to one Li1+ and three V4+ atoms to form a mixture of distorted edge and corner-sharing OLiV3 trigonal pyramids. In the twenty-third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two V4+, and one Mn2+ atom. In the twenty-fourth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, two V4+, and one Mn2+ atom. In the twenty-fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two V4+, and one Mn2+ atom. In the twenty-sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two V4+, and one Mn2+ atom. In the twenty-seventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three V4+ atoms. In the twenty-eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two V4+, and one Mn2+ atom. In the twenty-ninth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two V4+, and one Mn2+ atom. In the thirtieth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three V4+ atoms. In the thirty-first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two V4+, and one Mn2+ atom. In the thirty-second O2- site, O2- is bonded to one Li1+, two V4+, and one Mn2+ atom to form distorted corner-sharing OLiMnV2 trigonal pyramids.

36 MATERIALS SCIENCE↗

Materials Data on CeTl2(PO3)5 by Materials Project

CeTl2(PO3)5 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are two inequivalent Ce3+ sites. In the first Ce3+ site, Ce3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Ce–O bond distances ranging from 2.39–2.65 Å. In the second Ce3+ site, Ce3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Ce–O bond distances ranging from 2.39–2.66 Å. There are four inequivalent Tl1+ sites. In the first Tl1+ site, Tl1+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Tl–O bond distances ranging from 2.84–3.46 Å. In the second Tl1+ site, Tl1+ is bonded in a 2-coordinate geometry to ten O2- atoms. There are a spread of Tl–O bond distances ranging from 2.78–3.45 Å. In the third Tl1+ site, Tl1+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Tl–O bond distances ranging from 2.83–3.44 Å. In the fourth Tl1+ site, Tl1+ is bonded in a 2-coordinate geometry to ten O2- atoms. There are a spread of Tl–O bond distances ranging from 2.77–3.47 Å. There are ten inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form corner-sharing PO4 tetrahedra. There are a spread of P–O bond distances ranging from 1.49–1.63 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form corner-sharing PO4 tetrahedra. There are a spread of P–O bond distances ranging from 1.49–1.63 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form corner-sharing PO4 tetrahedra. There is two shorter (1.51 Å) and two longer (1.60 Å) P–O bond length. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form corner-sharing PO4 tetrahedra. There are a spread of P–O bond distances ranging from 1.50–1.63 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form corner-sharing PO4 tetrahedra. There are a spread of P–O bond distances ranging from 1.49–1.63 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form corner-sharing PO4 tetrahedra. There are a spread of P–O bond distances ranging from 1.49–1.62 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form corner-sharing PO4 tetrahedra. There are a spread of P–O bond distances ranging from 1.50–1.63 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form corner-sharing PO4 tetrahedra. There is two shorter (1.51 Å) and two longer (1.60 Å) P–O bond length. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form corner-sharing PO4 tetrahedra. There are a spread of P–O bond distances ranging from 1.50–1.63 Å. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form corner-sharing PO4 tetrahedra. There are a spread of P–O bond distances ranging from 1.50–1.63 Å. There are thirty inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two P5+ atoms. In the second O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Tl1+ and two P5+ atoms. In the third O2- site, O2- is bonded in a distorted linear geometry to one Ce3+ and one P5+ atom. In the fourth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Ce3+, one Tl1+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a 1-coordinate geometry to one Ce3+, two Tl1+, and one P5+ atom. In the sixth O2- site, O2- is bonded in a distorted single-bond geometry to one Ce3+, two Tl1+, and one P5+ atom. In the seventh O2- site, O2- is bonded in a distorted single-bond geometry to one Ce3+, two Tl1+, and one P5+ atom. In the eighth O2- site, O2- is bonded in a distorted single-bond geometry to two Tl1+ and one P5+ atom. In the ninth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Tl1+ and two P5+ atoms. In the tenth O2- site, O2- is bonded in a distorted single-bond geometry to one Ce3+, two Tl1+, and one P5+ atom. In the eleventh O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Tl1+ and two P5+ atoms. In the twelfth O2- site, O2- is bonded in a distorted single-bond geometry to one Ce3+, one Tl1+, and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two P5+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Tl1+ and two P5+ atoms. In the fifteenth O2- site, O2- is bonded in a distorted single-bond geometry to two Tl1+ and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Tl1+ and two P5+ atoms. In the seventeenth O2- site, O2- is bonded in a distorted single-bond geometry to one Ce3+, two Tl1+, and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a distorted single-bond geometry to one Ce3+, two Tl1+, and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a distorted single-bond geometry to one Ce3+, one Tl1+, and one P5+ atom. In the twentieth O2- site, O2- is bonded in a distorted single-bond geometry to one Ce3+, one Tl1+, and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Tl1+ and two P5+ atoms. In the twenty-second O2- site, O2- is bonded in a distorted single-bond geometry to two Tl1+ and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a distorted single-bond geometry to one Ce3+, one Tl1+, and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted single-bond geometry to two Tl1+ and one P5+ atom. In the twenty-fifth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Ce3+, one Tl1+, and one P5+ atom. In the twenty-sixth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Tl1+ and two P5+ atoms. In the twenty-seventh O2- site, O2- is bonded in a distorted single-bond geometry to one Ce3+, two Tl1+, and one P5+ atom. In the twenty-eighth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Tl1+ and two P5+ atoms. In the twenty-ninth O2- site, O2- is bonded in a distorted linear geometry to one Ce3+ and one P5+ atom. In the thirtieth O2- site, O2- is bonded in a distorted single-bond geometry to one Ce3+, two Tl1+, and one P5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on CaTeO3 by Materials Project

CaTeO3 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are nine inequivalent Ca2+ sites. In the first Ca2+ site, Ca2+ is bonded to six O2- atoms to form CaO6 octahedra that share a cornercorner with one CaO6 octahedra, a cornercorner with one CaO7 pentagonal bipyramid, edges with two equivalent CaO7 hexagonal pyramids, and an edgeedge with one CaO7 pentagonal bipyramid. The corner-sharing octahedral tilt angles are 51°. There are a spread of Ca–O bond distances ranging from 2.32–2.50 Å. In the second Ca2+ site, Ca2+ is bonded to six O2- atoms to form distorted CaO6 octahedra that share a cornercorner with one CaO7 hexagonal pyramid, corners with two CaO6 octahedra, an edgeedge with one CaO6 octahedra, and an edgeedge with one CaO7 pentagonal bipyramid. The corner-sharing octahedra tilt angles range from 51–65°. There are a spread of Ca–O bond distances ranging from 2.33–2.54 Å. In the third Ca2+ site, Ca2+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ca–O bond distances ranging from 2.41–2.47 Å. In the fourth Ca2+ site, Ca2+ is bonded to seven O2- atoms to form distorted CaO7 pentagonal bipyramids that share a cornercorner with one CaO7 pentagonal bipyramid, an edgeedge with one CaO7 hexagonal pyramid, edges with two CaO6 octahedra, and an edgeedge with one CaO7 pentagonal bipyramid. There are a spread of Ca–O bond distances ranging from 2.33–2.63 Å. In the fifth Ca2+ site, Ca2+ is bonded to six O2- atoms to form CaO6 octahedra that share a cornercorner with one CaO7 hexagonal pyramid, a cornercorner with one CaO6 octahedra, and edges with two CaO7 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 65°. There are a spread of Ca–O bond distances ranging from 2.31–2.44 Å. In the sixth Ca2+ site, Ca2+ is bonded to seven O2- atoms to form distorted CaO7 pentagonal bipyramids that share an edgeedge with one CaO6 octahedra and edges with two CaO7 pentagonal bipyramids. There are a spread of Ca–O bond distances ranging from 2.32–2.59 Å. In the seventh Ca2+ site, Ca2+ is bonded to seven O2- atoms to form distorted CaO7 hexagonal pyramids that share corners with two CaO6 octahedra, a cornercorner with one CaO7 pentagonal bipyramid, an edgeedge with one CaO7 hexagonal pyramid, edges with two equivalent CaO6 octahedra, and an edgeedge with one CaO7 pentagonal bipyramid. The corner-sharing octahedra tilt angles range from 47–62°. There are a spread of Ca–O bond distances ranging from 2.40–2.53 Å. In the eighth Ca2+ site, Ca2+ is bonded to seven O2- atoms to form distorted CaO7 pentagonal bipyramids that share a cornercorner with one CaO7 hexagonal pyramid, a cornercorner with one CaO6 octahedra, a cornercorner with one CaO7 pentagonal bipyramid, an edgeedge with one CaO6 octahedra, and an edgeedge with one CaO7 pentagonal bipyramid. The corner-sharing octahedral tilt angles are 74°. There are a spread of Ca–O bond distances ranging from 2.33–2.69 Å. In the ninth Ca2+ site, Ca2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Ca–O bond distances ranging from 2.38–2.95 Å. There are nine inequivalent Te4+ sites. In the first Te4+ site, Te4+ is bonded in a distorted trigonal non-coplanar geometry to three O2- atoms. There is two shorter (1.88 Å) and one longer (1.91 Å) Te–O bond length. In the second Te4+ site, Te4+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Te–O bond distances ranging from 1.90–2.71 Å. In the third Te4+ site, Te4+ is bonded in a 5-coordinate geometry to four O2- atoms. There are a spread of Te–O bond distances ranging from 1.89–2.84 Å. In the fourth Te4+ site, Te4+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Te–O bond distances ranging from 1.90–2.49 Å. In the fifth Te4+ site, Te4+ is bonded in a distorted trigonal non-coplanar geometry to three O2- atoms. There are a spread of Te–O bond distances ranging from 1.88–1.90 Å. In the sixth Te4+ site, Te4+ is bonded in a trigonal non-coplanar geometry to three O2- atoms. There are a spread of Te–O bond distances ranging from 1.87–1.89 Å. In the seventh Te4+ site, Te4+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Te–O bond distances ranging from 1.89–2.77 Å. In the eighth Te4+ site, Te4+ is bonded in a 3-coordinate geometry to three O2- atoms. There is one shorter (1.89 Å) and two longer (1.92 Å) Te–O bond length. In the ninth Te4+ site, Te4+ is bonded in a distorted T-shaped geometry to three O2- atoms. There are a spread of Te–O bond distances ranging from 1.89–1.92 Å. There are twenty-seven inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Ca2+ and two Te4+ atoms. In the second O2- site, O2- is bonded in a 4-coordinate geometry to three Ca2+ and one Te4+ atom. In the third O2- site, O2- is bonded in a 3-coordinate geometry to three Ca2+ and one Te4+ atom. In the fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Ca2+ and one Te4+ atom. In the fifth O2- site, O2- is bonded to three Ca2+ and one Te4+ atom to form a mixture of distorted corner and edge-sharing OCa3Te tetrahedra. In the sixth O2- site, O2- is bonded to three Ca2+ and one Te4+ atom to form a mixture of distorted corner and edge-sharing OCa3Te trigonal pyramids. In the seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to two Ca2+ and one Te4+ atom. In the eighth O2- site, O2- is bonded to three Ca2+ and one Te4+ atom to form a mixture of distorted corner and edge-sharing OCa3Te trigonal pyramids. In the ninth O2- site, O2- is bonded to three Ca2+ and one Te4+ atom to form a mixture of distorted corner and edge-sharing OCa3Te tetrahedra. In the tenth O2- site, O2- is bonded in a 3-coordinate geometry to two equivalent Ca2+ and one Te4+ atom. In the eleventh O2- site, O2- is bonded in a 3-coordinate geometry to three Te4+ atoms. In the twelfth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Ca2+ and two Te4+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Ca2+ and one Te4+ atom. In the fourteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Ca2+ and one Te4+ atom. In the fifteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two equivalent Ca2+ and one Te4+ atom. In the sixteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Ca2+ and two Te4+ atoms. In the seventeenth O2- site, O2- is bonded in a 2-coordinate geometry to one Ca2+ and two Te4+ atoms. In the eighteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Ca2+ and one Te4+ atom. In the nineteenth O2- site, O2- is bonded to three Ca2+ and one Te4+ atom to form a mixture of distorted corner and edge-sharing OCa3Te tetrahedra. In the twentieth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Ca2+ and one Te4+ atom. In the twenty-first O2- site, O2- is bonded to three Ca2+ and one Te4+ atom to form a mixture of distorted corner and edge-sharing OCa3Te tetrahedra. In the twenty-second O2- site, O2- is bonded to three Ca2+ and one Te4+ atom to form a mixture of distorted corner and edge-sharing OCa3Te tetrahedra. In the twenty-third O2- site, O2- is bonded in a distorted trigonal planar geometry to two Ca2+ and one Te4+ atom. In the twenty-fourth O2- site, O2- is bonded in a trigonal planar geometry to two Ca2+ and one Te4+ atom. In the twenty-fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Ca2+ and one Te4+ atom. In the twenty-sixth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two equivalent Ca2+ and one Te4+ atom. In the twenty-seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to two Ca2+ and one Te4+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Er3Pb4F17 by Materials Project

Er3Pb4F17 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are six inequivalent Er3+ sites. In the first Er3+ site, Er3+ is bonded in a 8-coordinate geometry to eight F1- atoms. There are a spread of Er–F bond distances ranging from 2.20–2.32 Å. In the second Er3+ site, Er3+ is bonded in a 8-coordinate geometry to eight F1- atoms. There are a spread of Er–F bond distances ranging from 2.22–2.34 Å. In the third Er3+ site, Er3+ is bonded in a 9-coordinate geometry to nine F1- atoms. There are a spread of Er–F bond distances ranging from 2.22–2.48 Å. In the fourth Er3+ site, Er3+ is bonded in a 8-coordinate geometry to eight F1- atoms. There are a spread of Er–F bond distances ranging from 2.21–2.32 Å. In the fifth Er3+ site, Er3+ is bonded in a 9-coordinate geometry to nine F1- atoms. There are a spread of Er–F bond distances ranging from 2.21–2.53 Å. In the sixth Er3+ site, Er3+ is bonded in a 9-coordinate geometry to nine F1- atoms. There are a spread of Er–F bond distances ranging from 2.22–2.64 Å. There are eight inequivalent Pb2+ sites. In the first Pb2+ site, Pb2+ is bonded in a 8-coordinate geometry to eight F1- atoms. There are a spread of Pb–F bond distances ranging from 2.52–2.75 Å. In the second Pb2+ site, Pb2+ is bonded in a 10-coordinate geometry to ten F1- atoms. There are a spread of Pb–F bond distances ranging from 2.52–2.93 Å. In the third Pb2+ site, Pb2+ is bonded in a 11-coordinate geometry to eight F1- atoms. There are a spread of Pb–F bond distances ranging from 2.55–2.99 Å. In the fourth Pb2+ site, Pb2+ is bonded in a 8-coordinate geometry to eight F1- atoms. There are a spread of Pb–F bond distances ranging from 2.54–2.83 Å. In the fifth Pb2+ site, Pb2+ is bonded in a 11-coordinate geometry to eight F1- atoms. There are a spread of Pb–F bond distances ranging from 2.51–2.81 Å. In the sixth Pb2+ site, Pb2+ is bonded in a 8-coordinate geometry to eight F1- atoms. There are a spread of Pb–F bond distances ranging from 2.50–2.75 Å. In the seventh Pb2+ site, Pb2+ is bonded in a 10-coordinate geometry to ten F1- atoms. There are a spread of Pb–F bond distances ranging from 2.52–2.88 Å. In the eighth Pb2+ site, Pb2+ is bonded in a 11-coordinate geometry to eight F1- atoms. There are a spread of Pb–F bond distances ranging from 2.53–2.91 Å. There are thirty-four inequivalent F1- sites. In the first F1- site, F1- is bonded in a 6-coordinate geometry to six Pb2+ and eight F1- atoms. There are a spread of F–F bond distances ranging from 2.69–2.80 Å. In the second F1- site, F1- is bonded to four Pb2+ and one F1- atom to form FPb4F tetrahedra that share corners with ten FEr2Pb2 tetrahedra, edges with six FErPb3F tetrahedra, and faces with three FErPb3F tetrahedra. In the third F1- site, F1- is bonded to one Er3+ and three Pb2+ atoms to form a mixture of distorted edge and corner-sharing FErPb3 tetrahedra. In the fourth F1- site, F1- is bonded to two Er3+ and two Pb2+ atoms to form distorted FEr2Pb2 tetrahedra that share corners with ten FErPb3F tetrahedra and edges with four FEr2Pb2 tetrahedra. In the fifth F1- site, F1- is bonded to one Er3+ and three Pb2+ atoms to form distorted FErPb3 tetrahedra that share corners with eleven FErPb3F tetrahedra and edges with five FErPb3 tetrahedra. In the sixth F1- site, F1- is bonded to one Er3+, three Pb2+, and one F1- atom to form distorted FErPb3F tetrahedra that share corners with nine FEr2Pb2 tetrahedra, edges with five FErPb3F tetrahedra, and faces with three FErPb3F tetrahedra. In the seventh F1- site, F1- is bonded to one Er3+, three Pb2+, and one F1- atom to form distorted FErPb3F tetrahedra that share corners with nine FEr2Pb2 tetrahedra, edges with five FErPb3F tetrahedra, and faces with three FErPb3F tetrahedra. In the eighth F1- site, F1- is bonded to two Er3+ and two Pb2+ atoms to form distorted FEr2Pb2 tetrahedra that share corners with ten FErPb3 tetrahedra and edges with four FEr2Pb2 tetrahedra. In the ninth F1- site, F1- is bonded in a distorted bent 150 degrees geometry to two Er3+ and one Pb2+ atom. In the tenth F1- site, F1- is bonded to one Er3+ and three Pb2+ atoms to form distorted FErPb3 tetrahedra that share corners with eleven FErPb3F tetrahedra and edges with five FErPb3 tetrahedra. In the eleventh F1- site, F1- is bonded in a distorted bent 150 degrees geometry to two Er3+ and one Pb2+ atom. In the twelfth F1- site, F1- is bonded in a bent 150 degrees geometry to two Er3+ atoms. In the thirteenth F1- site, F1- is bonded to two Er3+ and two Pb2+ atoms to form distorted FEr2Pb2 tetrahedra that share corners with ten FErPb3 tetrahedra and edges with four FErPb3F tetrahedra. In the fourteenth F1- site, F1- is bonded in a bent 150 degrees geometry to two Er3+ atoms. In the fifteenth F1- site, F1- is bonded in a distorted bent 150 degrees geometry to two Er3+ and one Pb2+ atom. In the sixteenth F1- site, F1- is bonded to one Er3+, three Pb2+, and one F1- atom to form distorted FErPb3F tetrahedra that share corners with nine FErPb3F tetrahedra, edges with five FEr2Pb2 tetrahedra, and faces with three FErPb3F tetrahedra. In the seventeenth F1- site, F1- is bonded in a bent 150 degrees geometry to two Er3+ atoms. In the eighteenth F1- site, F1- is bonded in a bent 120 degrees geometry to two Er3+ atoms. In the nineteenth F1- site, F1- is bonded in a distorted trigonal non-coplanar geometry to three Er3+ atoms. In the twentieth F1- site, F1- is bonded to one Er3+, three Pb2+, and one F1- atom to form distorted FErPb3F tetrahedra that share corners with nine FEr2Pb2 tetrahedra, edges with five FErPb3 tetrahedra, and faces with three FErPb3F tetrahedra. In the twenty-first F1- site, F1- is bonded in a distorted bent 150 degrees geometry to two Er3+ and one Pb2+ atom. In the twenty-second F1- site, F1- is bonded in a distorted bent 150 degrees geometry to two Er3+ atoms. In the twenty-third F1- site, F1- is bonded to two Er3+ and two Pb2+ atoms to form distorted FEr2Pb2 tetrahedra that share corners with ten FErPb3F tetrahedra and edges with four FErPb3 tetrahedra. In the twenty-fourth F1- site, F1- is bonded in a distorted bent 120 degrees geometry to two Er3+ atoms. In the twenty-fifth F1- site, F1- is bonded in a distorted bent 150 degrees geometry to two Er3+ and one Pb2+ atom. In the twenty-sixth F1- site, F1- is bonded to one Er3+ and three Pb2+ atoms to form distorted FErPb3 tetrahedra that share corners with eleven FErPb3F tetrahedra and edges with five FEr2Pb2 tetrahedra. In the twenty-seventh F1- site, F1- is bonded in a distorted bent 120 degrees geometry to two Er3+ and one Pb2+ atom. In the twenty-eighth F1- site, F1- is bonded to two Er3+ and two Pb2+ atoms to form distorted FEr2Pb2 tetrahedra that share corners with ten FErPb3F tetrahedra and edges with four FErPb3 tetrahedra. In the twenty-ninth F1- site, F1- is bonded to one Er3+, three Pb2+, and one F1- atom to form distorted FErPb3F tetrahedra that share corners with nine FErPb3 tetrahedra, edges with five FEr2Pb2 tetrahedra, and faces with three FErPb3F tetrahedra. In the thirtieth F1- site, F1- is bonded to one Er3+, three Pb2+, and one F1- atom to form distorted FErPb3F tetrahedra that share corners with nine FErPb3 tetrahedra, edges with five FErPb3F tetrahedra, and faces with three FErPb3F tetrahedra. In the thirty-first F1- site, F1- is bonded to one Er3+ and three Pb2+ atoms to form distorted FErPb3 tetrahedra that share corners with eleven FErPb3 tetrahedra and edges with five FErPb3F tetrahedra. In the thirty-second F1- site, F1- is bonded to two Er3+ and two Pb2+ atoms to form a mixture of distorted edge and corner-sharing FEr2Pb2 tetrahedra. In the thirty-third F1- site, F1- is bonded to one Er3+ and three Pb2+ atoms to form distorted FErPb3 tetrahedra that share corners with eleven FErPb3F tetrahedra and edges with five FEr2Pb2 tetrahedra. In the thirty-fourth F1- site, F1- is bonded to four Pb2+ and one F1- atom to form distorted FPb4F tetrahedra that share corners with ten FEr2Pb2 tetrahedra, edges with six FErPb3F tetrahedra, and faces with three FErPb3F tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on Na3Sr7Ta3Ti7O30 by Materials Project

Na3Sr7Ti7Ta3O30 is (Cubic) Perovskite-derived structured and crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are three inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded to twelve O2- atoms to form NaO12 cuboctahedra that share corners with four NaO12 cuboctahedra, corners with eight SrO12 cuboctahedra, faces with three NaO12 cuboctahedra, faces with three SrO12 cuboctahedra, faces with four TiO6 octahedra, and faces with four TaO6 octahedra. There are a spread of Na–O bond distances ranging from 2.68–2.96 Å. In the second Na1+ site, Na1+ is bonded to twelve O2- atoms to form distorted NaO12 cuboctahedra that share corners with six NaO12 cuboctahedra, corners with six SrO12 cuboctahedra, a faceface with one SrO12 cuboctahedra, faces with five NaO12 cuboctahedra, faces with two equivalent TiO6 octahedra, and faces with six TaO6 octahedra. There are a spread of Na–O bond distances ranging from 2.61–3.10 Å. In the third Na1+ site, Na1+ is bonded to twelve O2- atoms to form distorted NaO12 cuboctahedra that share corners with six NaO12 cuboctahedra, corners with six SrO12 cuboctahedra, faces with two SrO12 cuboctahedra, faces with four NaO12 cuboctahedra, faces with two equivalent TiO6 octahedra, and faces with six TaO6 octahedra. There are a spread of Na–O bond distances ranging from 2.64–3.04 Å. There are seven inequivalent Sr2+ sites. In the first Sr2+ site, Sr2+ is bonded to twelve O2- atoms to form SrO12 cuboctahedra that share corners with four SrO12 cuboctahedra, corners with eight NaO12 cuboctahedra, faces with three NaO12 cuboctahedra, faces with three SrO12 cuboctahedra, faces with four TiO6 octahedra, and faces with four TaO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.70–2.85 Å. In the second Sr2+ site, Sr2+ is bonded to twelve O2- atoms to form SrO12 cuboctahedra that share corners with two equivalent NaO12 cuboctahedra, corners with ten SrO12 cuboctahedra, a faceface with one NaO12 cuboctahedra, faces with five SrO12 cuboctahedra, and faces with eight TiO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.70–2.91 Å. In the third Sr2+ site, Sr2+ is bonded to twelve O2- atoms to form SrO12 cuboctahedra that share corners with twelve SrO12 cuboctahedra, faces with six SrO12 cuboctahedra, and faces with eight TiO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.71–2.89 Å. In the fourth Sr2+ site, Sr2+ is bonded to twelve O2- atoms to form SrO12 cuboctahedra that share corners with two equivalent NaO12 cuboctahedra, corners with ten SrO12 cuboctahedra, faces with six SrO12 cuboctahedra, and faces with eight TiO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.67–2.91 Å. In the fifth Sr2+ site, Sr2+ is bonded to twelve O2- atoms to form SrO12 cuboctahedra that share corners with twelve SrO12 cuboctahedra, faces with six SrO12 cuboctahedra, and faces with eight TiO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.71–2.88 Å. In the sixth Sr2+ site, Sr2+ is bonded to twelve O2- atoms to form SrO12 cuboctahedra that share corners with four NaO12 cuboctahedra, corners with eight SrO12 cuboctahedra, a faceface with one NaO12 cuboctahedra, faces with five SrO12 cuboctahedra, faces with two equivalent TaO6 octahedra, and faces with six TiO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.73–2.85 Å. In the seventh Sr2+ site, Sr2+ is bonded to twelve O2- atoms to form SrO12 cuboctahedra that share corners with four NaO12 cuboctahedra, corners with eight SrO12 cuboctahedra, a faceface with one NaO12 cuboctahedra, faces with five SrO12 cuboctahedra, faces with two equivalent TaO6 octahedra, and faces with six TiO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.69–2.88 Å. There are seven inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one TaO6 octahedra, corners with five TiO6 octahedra, faces with two equivalent NaO12 cuboctahedra, and faces with six SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 4–11°. There are a spread of Ti–O bond distances ranging from 1.85–2.14 Å. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six TiO6 octahedra and faces with eight SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 4–7°. There are a spread of Ti–O bond distances ranging from 1.88–2.09 Å. In the third Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six TiO6 octahedra and faces with eight SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 4–8°. There are a spread of Ti–O bond distances ranging from 1.89–2.09 Å. In the fourth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one TaO6 octahedra, corners with five TiO6 octahedra, faces with two equivalent NaO12 cuboctahedra, and faces with six SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 1–6°. There are a spread of Ti–O bond distances ranging from 1.89–2.07 Å. In the fifth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six TiO6 octahedra and faces with eight SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 2–6°. There are a spread of Ti–O bond distances ranging from 1.89–2.06 Å. In the sixth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with three TiO6 octahedra, corners with three TaO6 octahedra, faces with four NaO12 cuboctahedra, and faces with four SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Ti–O bond distances ranging from 1.93–2.04 Å. In the seventh Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one TaO6 octahedra, corners with five TiO6 octahedra, and faces with eight SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 2–5°. There are a spread of Ti–O bond distances ranging from 1.91–2.07 Å. There are three inequivalent Ta5+ sites. In the first Ta5+ site, Ta5+ is bonded to six O2- atoms to form TaO6 octahedra that share corners with three TiO6 octahedra, corners with three TaO6 octahedra, faces with four NaO12 cuboctahedra, and faces with four SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–4°. There are a spread of Ta–O bond distances ranging from 1.98–2.00 Å. In the second Ta5+ site, Ta5+ is bonded to six O2- atoms to form TaO6 octahedra that share corners with two TiO6 octahedra, corners with four TaO6 octahedra, faces with two equivalent SrO12 cuboctahedra, and faces with six NaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 1–9°. There are a spread of Ta–O bond distances ranging from 1.92–2.07 Å. In the third Ta5+ site, Ta5+ is bonded to six O2- atoms to form TaO6 octahedra that share a cornercorner with one TiO6 octahedra, corners with five TaO6 octahedra, faces with two equivalent SrO12 cuboctahedra, and faces with six NaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–4°. There are a spread of Ta–O bond distances ranging from 1.97–2.00 Å. There are thirty inequivalent O2- sites. In the first O2- site, O2- is bonded in a 6-coordinate geometry to one Na1+, three Sr2+, and two equivalent Ti4+ atoms. In the second O2- site, O2- is bonded in a distorted linear geometry to three Na1+, one Sr2+, and two equivalent Ta5+ atoms. In the third O2- site, O2- is bonded in a distorted linear geometry to three Na1+, one Sr2+, and two equivalent Ta5+ atoms. In the fourth O2- site, O2- is bonded in a distorted linear geometry to four Sr2+ and two Ti4+ atoms. In the fifth O2- site, O2- is bonded in a 2-coordinate geometry to two equivalent Na1+, two equivalent Sr2+, and two Ti4+ atoms. In the sixth O2- site, O2- is bonded in a distorted linear geometry to two equivalent Na1+, two equivalent Sr2+, one Ti4+, and one Ta5+ atom. In the seventh O2- site, O2- is bonded in a 6-coordinate geometry to four Sr2+ and two Ti4+ atoms. In the eighth O2- site, O2- is bonded in a 2-coordinate geometry to two equivalent Na1+, two equivalent Sr2+, one Ti4+, and one Ta5+ atom. In the ninth O2- site, O2- is bonded in a distorted linear geometry to four Sr2+ and two Ti4+ atoms. In the tenth O2- site, O2- is bonded in a distorted linear geometry to four Sr2+ and two Ti4+ atoms. In the eleventh O2- site, O2- is bonded in a distorted linear geometry to four Sr2+ and two Ti4+ atoms. In the twelfth O2- site, O2- is bonded in a distorted linear geometry to four Sr2+ and two Ti4+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted linear geometry to four Sr2+ and two Ti4+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted linear geometry to four Sr2+ and two Ti4+ atoms. In the fifteenth O2- site, O2- is bonded in a distorted linear geometry to four Sr2+ and two Ti4+ atoms. In the sixteenth O2- site, O2- is bonded in a distorted linear geometry to two equivalent Na1+, two equivalent Sr2+, one Ti4+, and one Ta5+ atom. In the seventeenth O2- site, O2- is bonded in a distorted linear geometry to four Sr2+, one Ti4+, and one Ta5+ atom. In the eighteenth O2- site, O2- is bonded in a distorted linear geometry to four Na1+ and two Ta5+ atoms. In the nineteenth O2- site, O2- is bonded in a distorted linear geometry to four Na1+ and two Ta5+ atoms. In the twentieth O2- site, O2- is bonded in a distorted linear geometry to two equivalent Na1+, two equivalent Sr2+, one Ti4+, and one Ta5+ atom. In the twenty-first O2- site, O2- is bonded to four Na1+, one Ti4+, and one Ta5+ atom to form distorted ONa4TaTi octahedra that share edges with two equivalent ONa4TaTi octahedra and faces with two equivalent ONa2Sr2Ti2 octahedra. In the twenty-second O2- site, O2- is bonded in a distorted linear geometry to four Sr2+ and two Ti4+ atoms. In the twenty-third O2- site, O2- is bonded in a distorted linear geometry to two equivalent Na1+, two equivalent Sr2+, and two Ta5+ atoms. In the twenty-fourth O2- site, O2- is bonded in a distorted linear geometry to four Sr2+ and two equivalent Ti4+ atoms. In the twenty-fifth O2- site, O2- is bonded in a distorted linear geometry to four Sr2+ and two equivalent Ti4+ atoms. In the twenty-sixth O2- site, O2- is bonded in a distorted linear geometry to one Na1+, three Sr2+, and two equivalent Ti4+ atoms. In the twenty-seventh O2- site, O2- is bonded to two Na1+, two Sr2+, and two equivalent Ti4+ atoms to form distorted ONa2Sr2Ti2 octahedra that share corners with two equivalent ONa2Sr2Ti2 octahedra and faces with two equivalent ONa4TaTi octahedra. The corner-sharing octahedral tilt angles are 0°. In the twenty-eighth O2- site, O2- is bonded in a distorted linear geometry to four Sr2+ and two equivalent Ti4+ atoms. In the twenty-ninth O2- site, O2- is bonded in a distorted linear geometry to four Sr2+ and two equivalent Ti4+ atoms. In the thirtieth O2- site, O2- is bonded in a distorted linear geometry to two Na1+, two Sr2+, and two equivalent Ta5+ atoms.

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 FeHO2 by Materials Project

FeOOH crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are sixteen inequivalent Fe3+ sites. In the first Fe3+ site, Fe3+ is bonded in a 4-coordinate geometry to one H1+ and four O2- atoms. The Fe–H bond length is 2.29 Å. There are a spread of Fe–O bond distances ranging from 2.00–2.09 Å. In the second Fe3+ site, Fe3+ is bonded to six O2- atoms to form distorted FeO6 octahedra that share a cornercorner with one FeO6 octahedra, a cornercorner with one FeO4 tetrahedra, a cornercorner with one FeO5 trigonal bipyramid, and edges with three FeO6 octahedra. The corner-sharing octahedral tilt angles are 48°. There are a spread of Fe–O bond distances ranging from 1.96–2.22 Å. In the third Fe3+ site, Fe3+ is bonded to four O2- atoms to form corner-sharing FeO4 tetrahedra. The corner-sharing octahedra tilt angles range from 50–60°. There are a spread of Fe–O bond distances ranging from 1.88–2.01 Å. In the fourth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two FeO6 octahedra, a cornercorner with one FeO5 trigonal bipyramid, and edges with two FeO6 octahedra. The corner-sharing octahedral tilt angles are 52°. There are a spread of Fe–O bond distances ranging from 1.95–2.15 Å. In the fifth Fe3+ site, Fe3+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 50–52°. There are a spread of Fe–O bond distances ranging from 1.94–2.18 Å. In the sixth Fe3+ site, Fe3+ is bonded to six O2- atoms to form distorted FeO6 octahedra that share a cornercorner with one FeO6 octahedra, a cornercorner with one FeO4 tetrahedra, a cornercorner with one FeO5 trigonal bipyramid, and edges with three FeO6 octahedra. The corner-sharing octahedral tilt angles are 53°. There are a spread of Fe–O bond distances ranging from 1.96–2.16 Å. In the seventh Fe3+ site, Fe3+ is bonded to five O2- atoms to form a mixture of distorted corner and edge-sharing FeO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 42–57°. There are a spread of Fe–O bond distances ranging from 1.81–2.19 Å. In the eighth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two FeO6 octahedra, a cornercorner with one FeO5 trigonal bipyramid, and edges with two FeO6 octahedra. The corner-sharing octahedra tilt angles range from 40–50°. There are a spread of Fe–O bond distances ranging from 1.92–2.14 Å. In the ninth Fe3+ site, Fe3+ is bonded to five O2- atoms to form corner-sharing FeO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 49–65°. There are a spread of Fe–O bond distances ranging from 1.91–2.12 Å. In the tenth Fe3+ site, Fe3+ is bonded to six O2- atoms to form distorted FeO6 octahedra that share a cornercorner with one FeO6 octahedra, a cornercorner with one FeO4 tetrahedra, a cornercorner with one FeO5 trigonal bipyramid, and edges with three FeO6 octahedra. The corner-sharing octahedral tilt angles are 52°. There are a spread of Fe–O bond distances ranging from 1.94–2.16 Å. In the eleventh Fe3+ site, Fe3+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Fe–O bond distances ranging from 1.97–2.18 Å. In the twelfth Fe3+ site, Fe3+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Fe–O bond distances ranging from 1.93–2.14 Å. In the thirteenth Fe3+ site, Fe3+ is bonded to six O2- atoms to form distorted FeO6 octahedra that share corners with two FeO6 octahedra, a cornercorner with one FeO4 tetrahedra, and edges with two equivalent FeO6 octahedra. The corner-sharing octahedra tilt angles range from 40–52°. There are a spread of Fe–O bond distances ranging from 1.82–2.22 Å. In the fourteenth Fe3+ site, Fe3+ is bonded to six O2- atoms to form distorted FeO6 octahedra that share a cornercorner with one FeO6 octahedra, a cornercorner with one FeO4 tetrahedra, a cornercorner with one FeO5 trigonal bipyramid, and edges with three FeO6 octahedra. The corner-sharing octahedral tilt angles are 51°. There are a spread of Fe–O bond distances ranging from 1.95–2.18 Å. In the fifteenth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with four FeO6 octahedra, a cornercorner with one FeO5 trigonal bipyramid, and edges with two equivalent FeO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 48–53°. There are a spread of Fe–O bond distances ranging from 1.99–2.18 Å. In the sixteenth Fe3+ site, Fe3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Fe–O bond distances ranging from 1.92–2.51 Å. There are sixteen inequivalent H1+ sites. In the first H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.99 Å. In the second H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.97 Å. In the third H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.98 Å. In the fourth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.98 Å. In the fifth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.99 Å. In the sixth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.97 Å. In the seventh H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.97 Å. In the eighth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.99 Å. In the ninth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.98 Å. In the tenth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.97 Å. In the eleventh H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.97 Å. In the twelfth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 1.00 Å. In the thirteenth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.97 Å. In the fourteenth H1+ site, H1+ is bonded in a single-bond geometry to one Fe3+ and one O2- atom. The H–O bond length is 0.98 Å. In the fifteenth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.99 Å. In the sixteenth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.97 Å. There are thirty-two inequivalent O2- sites. In the first O2- site, O2- is bonded in a water-like geometry to two Fe3+ atoms. In the second O2- site, O2- is bonded in a distorted single-bond geometry to three Fe3+ and one H1+ atom. In the third O2- site, O2- is bonded in a distorted single-bond geometry to three Fe3+ and one H1+ atom. In the fourth O2- site, O2- is bonded in a trigonal planar geometry to three Fe3+ atoms. In the fifth O2- site, O2- is bonded in a water-like geometry to two Fe3+ atoms. In the sixth O2- site, O2- is bonded in a distorted single-bond geometry to three Fe3+ and one H1+ atom. In the seventh O2- site, O2- is bonded in a distorted single-bond geometry to three Fe3+ and one H1+ atom. In the eighth O2- site, O2- is bonded in a trigonal planar geometry to three Fe3+ atoms. In the ninth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Fe3+ and one H1+ atom. In the tenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Fe3+ atoms. In the eleventh O2- site, O2- is bonded in a distorted single-bond geometry to three Fe3+ and one H1+ atom. In the twelfth O2- site, O2- is bonded in a trigonal planar geometry to three Fe3+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted single-bond geometry to two Fe3+ and one H1+ atom. In the fourteenth O2- site, O2- is bonded in a distorted single-bond geometry to three Fe3+ and one H1+ atom. In the fifteenth O2- site, O2- is bonded in a distorted single-bond geometry to three Fe3+ and one H1+ atom. In the sixteenth O2- site, O2- is bonded in a trigonal planar geometry to three Fe3+ atoms. In the seventeenth O2- site, O2- is bonded in a water-like geometry to two Fe3+ atoms. In the eighteenth O2- site, O2- is bonded in a distorted T-shaped geometry to three Fe3+ atoms. In the nineteenth O2- site, O2- is bonded in a distorted single-bond geometry to three Fe3+ and one H1+ atom. In the twentieth O2- site, O2- is bonded in a trigonal planar geometry to three Fe3+ atoms. In the twenty-first O2- site, O2- is bonded in a distorted single-bond geometry to two Fe3+ and one H1+ atom. In the twenty-second O2- site, O2- is bonded in a distorted trigonal planar geometry to three Fe3+ atoms. In the twenty-third O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Fe3+ atoms. In the twenty-fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Fe3+ atoms. In the twenty-fifth O2- site, O2- is bonded in a bent 120 degrees geometry to two Fe3+ atoms. In the twenty-sixth O2- site, O2- is bonded in a distorted single-bond geometry to three Fe3+ and one H1+ atom. In the twenty-seventh O2- site, O2- is bonded in a distorted single-bond geometry to three Fe3+ and one H1+ atom. In the twenty-eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Fe3+ atoms. In the twenty-ninth O2- site, O2- is bonded in a 1-coordinate geometry to two Fe3+ and one H1+ atom. In the thirtieth O2- site, O2- is bonded in a distorted single-bond geometry to two Fe3+ and one H1+ atom. In the thirty-first O2- site, O2- is bonded in a distorted single-bond geometry to three Fe3+ and one H1+ atom. In the thirty-second O2- site, O2- is bonded in a distorted trigonal planar geometry to three Fe3+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Bi32P10Pb3O76 by Materials Project

Pb3Bi32P10O76 crystallizes in the monoclinic C2 space group. The structure is three-dimensional. there are two inequivalent Pb sites. In the first Pb site, Pb is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of Pb–O bond distances ranging from 2.48–2.87 Å. In the second Pb site, Pb is bonded in a body-centered cubic geometry to eight O atoms. There are four shorter (2.61 Å) and four longer (2.67 Å) Pb–O bond lengths. There are seventeen inequivalent Bi sites. In the first Bi site, Bi is bonded in a 4-coordinate geometry to four O atoms. There are a spread of Bi–O bond distances ranging from 2.15–2.45 Å. In the second Bi site, Bi is bonded to five O atoms to form distorted BiO5 square pyramids that share corners with three PO4 tetrahedra. There are a spread of Bi–O bond distances ranging from 2.13–2.61 Å. In the third Bi site, Bi is bonded in a 4-coordinate geometry to four O atoms. There are a spread of Bi–O bond distances ranging from 2.16–2.41 Å. In the fourth Bi site, Bi is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Bi–O bond distances ranging from 2.19–2.77 Å. In the fifth Bi site, Bi is bonded in a 3-coordinate geometry to three O atoms. There are a spread of Bi–O bond distances ranging from 2.20–2.25 Å. In the sixth Bi site, Bi is bonded in a 5-coordinate geometry to five O atoms. There are a spread of Bi–O bond distances ranging from 2.13–2.70 Å. In the seventh Bi site, Bi is bonded in a 5-coordinate geometry to five O atoms. There are a spread of Bi–O bond distances ranging from 2.19–2.79 Å. In the eighth Bi site, Bi is bonded in a distorted rectangular see-saw-like geometry to four O atoms. There are a spread of Bi–O bond distances ranging from 2.13–2.55 Å. In the ninth Bi site, Bi is bonded in a 7-coordinate geometry to seven O atoms. There are a spread of Bi–O bond distances ranging from 2.14–2.80 Å. In the tenth Bi site, Bi is bonded in a 5-coordinate geometry to five O atoms. There are a spread of Bi–O bond distances ranging from 2.15–2.70 Å. In the eleventh Bi site, Bi is bonded in a 5-coordinate geometry to five O atoms. There are a spread of Bi–O bond distances ranging from 2.20–2.64 Å. In the twelfth Bi site, Bi is bonded in a 4-coordinate geometry to four O atoms. There are a spread of Bi–O bond distances ranging from 2.17–2.47 Å. In the thirteenth Bi site, Bi is bonded in a 5-coordinate geometry to five O atoms. There are a spread of Bi–O bond distances ranging from 2.15–2.75 Å. In the fourteenth Bi site, Bi is bonded to six O atoms to form distorted BiO6 pentagonal pyramids that share corners with four PO4 tetrahedra. There are a spread of Bi–O bond distances ranging from 2.20–2.57 Å. In the fifteenth Bi site, Bi is bonded in a 5-coordinate geometry to five O atoms. There are a spread of Bi–O bond distances ranging from 2.19–2.58 Å. In the sixteenth Bi site, Bi is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Bi–O bond distances ranging from 2.19–2.73 Å. In the seventeenth Bi site, Bi is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Bi–O bond distances ranging from 2.14–2.83 Å. There are five inequivalent P sites. In the first P site, P is bonded to four O atoms to form PO4 tetrahedra that share a cornercorner with one BiO5 square pyramid. There are a spread of P–O bond distances ranging from 1.55–1.58 Å. In the second P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with two equivalent BiO5 square pyramids. There are a spread of P–O bond distances ranging from 1.55–1.58 Å. In the third P site, P is bonded in a tetrahedral geometry to four O atoms. There are a spread of P–O bond distances ranging from 1.53–1.59 Å. In the fourth P site, P is bonded to four O atoms to form PO4 tetrahedra that share a cornercorner with one BiO6 pentagonal pyramid. There are a spread of P–O bond distances ranging from 1.55–1.58 Å. In the fifth P site, P is bonded to four O atoms to form PO4 tetrahedra that share a cornercorner with one BiO6 pentagonal pyramid. There are a spread of P–O bond distances ranging from 1.54–1.59 Å. There are thirty-eight inequivalent O sites. In the first O site, O is bonded in a 3-coordinate geometry to one Pb and two Bi atoms. In the second O site, O is bonded in a 3-coordinate geometry to one Pb and three Bi atoms. In the third O site, O is bonded to one Pb and three Bi atoms to form distorted OBi3Pb tetrahedra that share corners with three OBi3Pb tetrahedra and an edgeedge with one OBi2Pb2 tetrahedra. In the fourth O site, O is bonded in a 1-coordinate geometry to two Bi and one P atom. In the fifth O site, O is bonded in a distorted single-bond geometry to one Bi and one P atom. In the sixth O site, O is bonded in a distorted trigonal non-coplanar geometry to three Bi atoms. In the seventh O site, O is bonded in a distorted trigonal planar geometry to one Pb and three Bi atoms. In the eighth O site, O is bonded in a distorted single-bond geometry to one Bi and one P atom. In the ninth O site, O is bonded in a distorted single-bond geometry to one Bi and one P atom. In the tenth O site, O is bonded in a trigonal non-coplanar geometry to three Bi atoms. In the eleventh O site, O is bonded in a distorted single-bond geometry to one Bi and one P atom. In the twelfth O site, O is bonded in a 1-coordinate geometry to one Bi and one P atom. In the thirteenth O site, O is bonded in a distorted single-bond geometry to two Bi and one P atom. In the fourteenth O site, O is bonded in a trigonal non-coplanar geometry to three Bi atoms. In the fifteenth O site, O is bonded in a distorted single-bond geometry to two Bi and one P atom. In the sixteenth O site, O is bonded in a distorted single-bond geometry to one Bi and one P atom. In the seventeenth O site, O is bonded in a distorted single-bond geometry to one Bi and one P atom. In the eighteenth O site, O is bonded in a distorted single-bond geometry to one Bi and one P atom. In the nineteenth O site, O is bonded in a distorted trigonal non-coplanar geometry to three Bi atoms. In the twentieth O site, O is bonded in a distorted tetrahedral geometry to four Bi atoms. In the twenty-first O site, O is bonded in a distorted single-bond geometry to one Bi and one P atom. In the twenty-second O site, O is bonded in a distorted single-bond geometry to one Bi and one P atom. In the twenty-third O site, O is bonded to one Pb and three Bi atoms to form distorted OBi3Pb tetrahedra that share corners with three OBi2Pb2 tetrahedra, a cornercorner with one OBi3Pb trigonal pyramid, edges with two OBi2Pb2 tetrahedra, and an edgeedge with one OBi3Pb trigonal pyramid. In the twenty-fourth O site, O is bonded to one Pb and three Bi atoms to form distorted OBi3Pb trigonal pyramids that share corners with three OBi3Pb tetrahedra, a cornercorner with one OBi3Pb trigonal pyramid, and edges with three OBi2Pb2 tetrahedra. In the twenty-fifth O site, O is bonded in a distorted single-bond geometry to two Bi and one P atom. In the twenty-sixth O site, O is bonded in a distorted single-bond geometry to one Bi and one P atom. In the twenty-seventh O site, O is bonded to two Pb and two Bi atoms to form a mixture of distorted corner and edge-sharing OBi2Pb2 tetrahedra. In the twenty-eighth O site, O is bonded in a distorted single-bond geometry to two Bi and one P atom. In the twenty-ninth O site, O is bonded in a 3-coordinate geometry to one Pb and three Bi atoms. In the thirtieth O site, O is bonded to two Pb and two Bi atoms to form OBi2Pb2 tetrahedra that share corners with four OBi3Pb tetrahedra, a cornercorner with one OBi3Pb trigonal pyramid, edges with three OBi2Pb2 tetrahedra, and an edgeedge with one OBi3Pb trigonal pyramid. In the thirty-first O site, O is bonded in a 4-coordinate geometry to one Pb and three Bi atoms. In the thirty-second O site, O is bonded in a single-bond geometry to two Bi and one P atom. In the thirty-third O site, O is bonded in a 3-coordinate geometry to four Bi atoms. In the thirty-fourth O site, O is bonded in a distorted linear geometry to one Bi and one P atom. In the thirty-fifth O site, O is bonded in a trigonal non-coplanar geometry to three Bi atoms. In the thirty-sixth O site, O is bonded in a distorted single-bond geometry to one Bi and one P atom. In the thirty-seventh O site, O is bonded in a trigonal non-coplanar geometry to three Bi atoms. In the thirty-eighth O site, O is bonded in a distorted single-bond geometry to one Bi and one P atom.

36 MATERIALS SCIENCE↗

Materials Data on Hf2N2O by Materials Project

Hf2ON2 is Ilmenite-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are sixteen inequivalent Hf4+ sites. In the first Hf4+ site, Hf4+ is bonded to three N3- and three O2- atoms to form distorted HfN3O3 octahedra that share corners with six HfN3O3 octahedra and edges with six HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 49–57°. There are a spread of Hf–N bond distances ranging from 2.08–2.20 Å. There are one shorter (2.11 Å) and two longer (2.21 Å) Hf–O bond lengths. In the second Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form HfN4O2 octahedra that share corners with six HfN4O2 octahedra and edges with six HfN3O3 octahedra. The corner-sharing octahedra tilt angles range from 53–59°. There are a spread of Hf–N bond distances ranging from 2.07–2.21 Å. There are one shorter (2.27 Å) and one longer (2.29 Å) Hf–O bond lengths. In the third Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form distorted HfN4O2 octahedra that share corners with six HfN4O2 octahedra and edges with six HfN3O3 octahedra. The corner-sharing octahedra tilt angles range from 52–56°. There are a spread of Hf–N bond distances ranging from 2.09–2.18 Å. There are one shorter (2.28 Å) and one longer (2.30 Å) Hf–O bond lengths. In the fourth Hf4+ site, Hf4+ is bonded to three N3- and three O2- atoms to form distorted HfN3O3 octahedra that share corners with six HfN4O2 octahedra and edges with six HfN3O3 octahedra. The corner-sharing octahedra tilt angles range from 52–56°. There are a spread of Hf–N bond distances ranging from 2.11–2.22 Å. There are a spread of Hf–O bond distances ranging from 2.13–2.20 Å. In the fifth Hf4+ site, Hf4+ is bonded to three N3- and three O2- atoms to form distorted HfN3O3 octahedra that share corners with six HfN3O3 octahedra and edges with six HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 49–56°. There are a spread of Hf–N bond distances ranging from 2.09–2.19 Å. There are a spread of Hf–O bond distances ranging from 2.14–2.21 Å. In the sixth Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form distorted HfN4O2 octahedra that share corners with six HfN4O2 octahedra and edges with six HfN3O3 octahedra. The corner-sharing octahedra tilt angles range from 52–59°. There are a spread of Hf–N bond distances ranging from 2.12–2.24 Å. There are one shorter (2.20 Å) and one longer (2.23 Å) Hf–O bond lengths. In the seventh Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form a mixture of edge and corner-sharing HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 53–57°. There are a spread of Hf–N bond distances ranging from 2.11–2.19 Å. There are one shorter (2.23 Å) and one longer (2.25 Å) Hf–O bond lengths. In the eighth Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form a mixture of distorted edge and corner-sharing HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 53–56°. There are a spread of Hf–N bond distances ranging from 2.13–2.27 Å. There are one shorter (2.11 Å) and one longer (2.25 Å) Hf–O bond lengths. In the ninth Hf4+ site, Hf4+ is bonded to five N3- and one O2- atom to form distorted HfN5O octahedra that share corners with six HfN4O2 octahedra and edges with six HfN3O3 octahedra. The corner-sharing octahedra tilt angles range from 51–56°. There are a spread of Hf–N bond distances ranging from 2.12–2.23 Å. The Hf–O bond length is 2.24 Å. In the tenth Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form HfN4O2 octahedra that share corners with six HfN3O3 octahedra and edges with six HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 55–57°. There are a spread of Hf–N bond distances ranging from 2.09–2.18 Å. There are one shorter (2.26 Å) and one longer (2.28 Å) Hf–O bond lengths. In the eleventh Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form a mixture of edge and corner-sharing HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 52–55°. There are a spread of Hf–N bond distances ranging from 2.09–2.18 Å. There are one shorter (2.22 Å) and one longer (2.28 Å) Hf–O bond lengths. In the twelfth Hf4+ site, Hf4+ is bonded to five N3- and one O2- atom to form distorted HfN5O octahedra that share corners with six HfN3O3 octahedra and edges with six HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 52–57°. There are a spread of Hf–N bond distances ranging from 2.14–2.25 Å. The Hf–O bond length is 2.21 Å. In the thirteenth Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form distorted HfN4O2 octahedra that share corners with six HfN4O2 octahedra and edges with six HfN3O3 octahedra. The corner-sharing octahedra tilt angles range from 51–57°. There are a spread of Hf–N bond distances ranging from 2.12–2.24 Å. There are one shorter (2.15 Å) and one longer (2.19 Å) Hf–O bond lengths. In the fourteenth Hf4+ site, Hf4+ is bonded to five N3- and one O2- atom to form distorted HfN5O octahedra that share corners with six HfN3O3 octahedra and edges with six HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 53–56°. There are a spread of Hf–N bond distances ranging from 2.10–2.23 Å. The Hf–O bond length is 2.31 Å. In the fifteenth Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form distorted HfN4O2 octahedra that share corners with six HfN3O3 octahedra and edges with six HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 51–59°. There are a spread of Hf–N bond distances ranging from 2.09–2.22 Å. There are one shorter (2.20 Å) and one longer (2.25 Å) Hf–O bond lengths. In the sixteenth Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form a mixture of distorted edge and corner-sharing HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 52–55°. There are a spread of Hf–N bond distances ranging from 2.12–2.22 Å. There are one shorter (2.13 Å) and one longer (2.20 Å) Hf–O bond lengths. There are sixteen inequivalent N3- sites. In the first N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share a cornercorner with one OHf4 tetrahedra, corners with two NHf4 tetrahedra, corners with three OHf4 trigonal pyramids, corners with six NHf4 trigonal pyramids, edges with two NHf4 trigonal pyramids, and edges with two OHf4 trigonal pyramids. In the second N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with two NHf4 tetrahedra, corners with four OHf4 trigonal pyramids, corners with six NHf4 trigonal pyramids, edges with two NHf4 trigonal pyramids, and edges with two OHf4 trigonal pyramids. In the third N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 tetrahedra that share a cornercorner with one NHf4 tetrahedra, corners with four OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, an edgeedge with one NHf4 tetrahedra, an edgeedge with one OHf4 tetrahedra, and edges with two OHf4 trigonal pyramids. In the fourth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share a cornercorner with one OHf4 tetrahedra, corners with two NHf4 tetrahedra, corners with three OHf4 trigonal pyramids, corners with six NHf4 trigonal pyramids, an edgeedge with one NHf4 tetrahedra, an edgeedge with one NHf4 trigonal pyramid, and edges with two OHf4 trigonal pyramids. In the fifth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 tetrahedra that share a cornercorner with one NHf4 tetrahedra, a cornercorner with one OHf4 tetrahedra, corners with four OHf4 trigonal pyramids, corners with six NHf4 trigonal pyramids, edges with two NHf4 trigonal pyramids, and edges with two OHf4 trigonal pyramids. In the sixth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with three NHf4 tetrahedra, corners with three OHf4 trigonal pyramids, corners with six NHf4 trigonal pyramids, an edgeedge with one OHf4 tetrahedra, an edgeedge with one OHf4 trigonal pyramid, and edges with two NHf4 trigonal pyramids. In the seventh N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, corners with four OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, edges with two NHf4 trigonal pyramids, and edges with two OHf4 trigonal pyramids. In the eighth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, a cornercorner with one OHf4 tetrahedra, corners with four OHf4 trigonal pyramids, corners with six NHf4 trigonal pyramids, an edgeedge with one OHf4 trigonal pyramid, and edges with three NHf4 trigonal pyramids. In the ninth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with two NHf4 tetrahedra, corners with three OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, an edgeedge with one NHf4 trigonal pyramid, and edges with three OHf4 trigonal pyramids. In the tenth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, a cornercorner with one OHf4 tetrahedra, corners with three OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, edges with two NHf4 trigonal pyramids, and edges with two OHf4 trigonal pyramids. In the eleventh N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share a cornercorner with one OHf4 tetrahedra, corners with four OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, an edgeedge with one OHf4 trigonal pyramid, and edges with three NHf4 trigonal pyramids. In the twelfth N3- site, N3- is bonded to four Hf4+ atoms to form NHf4 trigonal pyramids that share a cornercorner with one OHf4 tetrahedra, corners with two NHf4 tetrahedra, corners with three OHf4 trigonal pyramids, corners with six NHf4 trigonal pyramids, an edgeedge with one OHf4 trigonal pyramid, and edges with three NHf4 trigonal pyramids. In the thirteenth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, a cornercorner with one OHf4 tetrahedra, corners with three OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, an edgeedge with one NHf4 tetrahedra, an edgeedge with one OHf4 trigonal pyramid, and edges with two NHf4 trigonal pyramids. In the fourteenth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, corners with four OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, an edgeedge with one OHf4 tetrahedra, and edges with three NHf4 trigonal pyramids. In the fifteenth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with two NHf4 tetrahedra, corners with four OHf4 trigonal pyramids, corners with six NHf4 trigonal pyramids, an edgeedge with one NHf4 tetrahedra, an edgeedge with one OHf4 trigonal pyramid, and edges with two NHf4 trigonal pyramids. In the sixteenth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 tetrahedra that share a cornercorner with one OHf4 tetrahedra, corners with four OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, an edgeedge with one NHf4 tetrahedra, an edgeedge with one NHf4 trigonal pyramid, and edges with two OHf4 trigonal pyramids. There are eight inequivalent O2- sites. In the first O2- site, O2- is bonded to four Hf4+ atoms to form distorted OHf4 trigonal pyramids that share corners with three NHf4 tetrahedra, corners with three OHf4 trigonal pyramids, corners with six NHf4 trigonal pyramids, an edgeedge with one OHf4 trigonal pyramid

36 MATERIALS SCIENCE↗

Materials Data on FeCu4Re14(Mo3S20)2 by Materials Project

Re14FeCu4(Mo3S20)2 crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are five inequivalent Mo+5.33+ sites. In the first Mo+5.33+ site, Mo+5.33+ is bonded to six S2- atoms to form distorted MoS6 octahedra that share corners with three CuS4 tetrahedra and edges with six ReS6 octahedra. There are three shorter (2.35 Å) and three longer (2.59 Å) Mo–S bond lengths. In the second Mo+5.33+ site, Mo+5.33+ is bonded to six S2- atoms to form distorted MoS6 octahedra that share corners with three CuS4 tetrahedra and edges with six ReS6 octahedra. There are three shorter (2.35 Å) and three longer (2.59 Å) Mo–S bond lengths. In the third Mo+5.33+ site, Mo+5.33+ is bonded to six S2- atoms to form distorted MoS6 octahedra that share a cornercorner with one CuS4 tetrahedra, corners with two equivalent FeS4 tetrahedra, an edgeedge with one MoS6 octahedra, and edges with five ReS6 octahedra. There are a spread of Mo–S bond distances ranging from 2.35–2.59 Å. In the fourth Mo+5.33+ site, Mo+5.33+ is bonded to six S2- atoms to form distorted MoS6 octahedra that share corners with three equivalent FeS4 tetrahedra, edges with two MoS6 octahedra, and edges with four ReS6 octahedra. There are a spread of Mo–S bond distances ranging from 2.35–2.60 Å. In the fifth Mo+5.33+ site, Mo+5.33+ is bonded to six S2- atoms to form distorted MoS6 octahedra that share a cornercorner with one FeS4 tetrahedra, corners with two equivalent CuS4 tetrahedra, an edgeedge with one MoS6 octahedra, and edges with five ReS6 octahedra. There are a spread of Mo–S bond distances ranging from 2.34–2.60 Å. There are eight inequivalent Re3+ sites. In the first Re3+ site, Re3+ is bonded to six S2- atoms to form distorted ReS6 octahedra that share corners with three CuS4 tetrahedra, edges with two equivalent MoS6 octahedra, and edges with four ReS6 octahedra. There are a spread of Re–S bond distances ranging from 2.34–2.55 Å. In the second Re3+ site, Re3+ is bonded to six S2- atoms to form distorted ReS6 octahedra that share corners with three equivalent CuS4 tetrahedra, edges with two MoS6 octahedra, and edges with four ReS6 octahedra. There are a spread of Re–S bond distances ranging from 2.34–2.55 Å. In the third Re3+ site, Re3+ is bonded to six S2- atoms to form distorted ReS6 octahedra that share corners with three CuS4 tetrahedra, edges with two equivalent MoS6 octahedra, and edges with four ReS6 octahedra. There are a spread of Re–S bond distances ranging from 2.34–2.54 Å. In the fourth Re3+ site, Re3+ is bonded to six S2- atoms to form distorted ReS6 octahedra that share corners with three equivalent CuS4 tetrahedra, edges with two MoS6 octahedra, and edges with four ReS6 octahedra. There are a spread of Re–S bond distances ranging from 2.34–2.54 Å. In the fifth Re3+ site, Re3+ is bonded to six S2- atoms to form distorted ReS6 octahedra that share corners with three equivalent CuS4 tetrahedra, edges with two MoS6 octahedra, and edges with four ReS6 octahedra. There are a spread of Re–S bond distances ranging from 2.34–2.55 Å. In the sixth Re3+ site, Re3+ is bonded to six S2- atoms to form distorted ReS6 octahedra that share a cornercorner with one CuS4 tetrahedra, corners with two equivalent FeS4 tetrahedra, edges with three MoS6 octahedra, and edges with three ReS6 octahedra. There are a spread of Re–S bond distances ranging from 2.33–2.54 Å. In the seventh Re3+ site, Re3+ is bonded to six S2- atoms to form distorted ReS6 octahedra that share corners with three equivalent CuS4 tetrahedra, edges with two MoS6 octahedra, and edges with four ReS6 octahedra. There are a spread of Re–S bond distances ranging from 2.34–2.54 Å. In the eighth Re3+ site, Re3+ is bonded to six S2- atoms to form distorted ReS6 octahedra that share a cornercorner with one FeS4 tetrahedra, corners with two equivalent CuS4 tetrahedra, edges with three MoS6 octahedra, and edges with three ReS6 octahedra. There are a spread of Re–S bond distances ranging from 2.34–2.54 Å. Fe2+ is bonded to four S2- atoms to form FeS4 tetrahedra that share corners with six MoS6 octahedra and corners with six ReS6 octahedra. The corner-sharing octahedra tilt angles range from 63–66°. There are three shorter (2.26 Å) and one longer (2.28 Å) Fe–S bond lengths. There are four inequivalent Cu1+ sites. In the first Cu1+ site, Cu1+ is bonded to four S2- atoms to form CuS4 tetrahedra that share corners with three MoS6 octahedra and corners with nine ReS6 octahedra. The corner-sharing octahedra tilt angles range from 64–66°. There are three shorter (2.26 Å) and one longer (2.28 Å) Cu–S bond lengths. In the second Cu1+ site, Cu1+ is bonded to four S2- atoms to form CuS4 tetrahedra that share corners with three MoS6 octahedra and corners with nine ReS6 octahedra. The corner-sharing octahedra tilt angles range from 64–66°. There are a spread of Cu–S bond distances ranging from 2.25–2.28 Å. In the third Cu1+ site, Cu1+ is bonded to four S2- atoms to form CuS4 tetrahedra that share corners with three MoS6 octahedra and corners with nine ReS6 octahedra. The corner-sharing octahedra tilt angles range from 64–66°. There are three shorter (2.26 Å) and one longer (2.28 Å) Cu–S bond lengths. In the fourth Cu1+ site, Cu1+ is bonded to four S2- atoms to form CuS4 tetrahedra that share corners with three MoS6 octahedra and corners with nine ReS6 octahedra. The corner-sharing octahedra tilt angles range from 64–66°. There are a spread of Cu–S bond distances ranging from 2.26–2.28 Å. There are thirty inequivalent S2- sites. In the first S2- site, S2- is bonded in a 3-coordinate geometry to three Re3+ atoms. In the second S2- site, S2- is bonded in a 3-coordinate geometry to one Mo+5.33+ and two equivalent Re3+ atoms. In the third S2- site, S2- is bonded in a 3-coordinate geometry to one Mo+5.33+ and two Re3+ atoms. In the fourth S2- site, S2- is bonded in a 3-coordinate geometry to three Re3+ atoms. In the fifth S2- site, S2- is bonded to one Mo+5.33+, two Re3+, and one Cu1+ atom to form a mixture of distorted edge and corner-sharing SCuRe2Mo tetrahedra. In the sixth S2- site, S2- is bonded to one Mo+5.33+, two equivalent Re3+, and one Cu1+ atom to form distorted SCuRe2Mo tetrahedra that share corners with three SCuRe2Mo tetrahedra and edges with three SCuRe3 tetrahedra. In the seventh S2- site, S2- is bonded in a 3-coordinate geometry to one Mo+5.33+ and two equivalent Re3+ atoms. In the eighth S2- site, S2- is bonded in a 3-coordinate geometry to one Mo+5.33+ and two Re3+ atoms. In the ninth S2- site, S2- is bonded to three Re3+ and one Cu1+ atom to form a mixture of distorted edge and corner-sharing SCuRe3 tetrahedra. In the tenth S2- site, S2- is bonded in a 3-coordinate geometry to three Re3+ atoms. Both S–Re bond lengths are 2.34 Å. In the eleventh S2- site, S2- is bonded to one Mo+5.33+, two Re3+, and one Cu1+ atom to form distorted SCuRe2Mo tetrahedra that share corners with three SCuRe3 tetrahedra and edges with three SCuRe2Mo tetrahedra. In the twelfth S2- site, S2- is bonded to one Mo+5.33+, two equivalent Re3+, and one Cu1+ atom to form distorted SCuRe2Mo tetrahedra that share corners with three SCuRe2Mo tetrahedra and edges with three SCuRe3 tetrahedra. In the thirteenth S2- site, S2- is bonded in a 3-coordinate geometry to one Mo+5.33+ and two equivalent Re3+ atoms. The S–Mo bond length is 2.35 Å. Both S–Re bond lengths are 2.34 Å. In the fourteenth S2- site, S2- is bonded in a 3-coordinate geometry to one Mo+5.33+ and two Re3+ atoms. The S–Mo bond length is 2.35 Å. The S–Re bond length is 2.34 Å. In the fifteenth S2- site, S2- is bonded to three Re3+ and one Cu1+ atom to form a mixture of distorted edge and corner-sharing SCuRe3 tetrahedra. In the sixteenth S2- site, S2- is bonded in a 3-coordinate geometry to three Re3+ atoms. In the seventeenth S2- site, S2- is bonded to one Mo+5.33+, two Re3+, and one Cu1+ atom to form a mixture of distorted edge and corner-sharing SCuRe2Mo tetrahedra. The S–Mo bond length is 2.59 Å. The S–Re bond length is 2.53 Å. In the eighteenth S2- site, S2- is bonded to one Mo+5.33+, two equivalent Re3+, and one Cu1+ atom to form a mixture of distorted edge and corner-sharing SCuRe2Mo tetrahedra. The S–Mo bond length is 2.59 Å. Both S–Re bond lengths are 2.53 Å. In the nineteenth S2- site, S2- is bonded in a 3-coordinate geometry to one Mo+5.33+ and two equivalent Re3+ atoms. In the twentieth S2- site, S2- is bonded in a 3-coordinate geometry to one Mo+5.33+ and two Re3+ atoms. In the twenty-first S2- site, S2- is bonded to three Re3+ and one Cu1+ atom to form a mixture of distorted edge and corner-sharing SCuRe3 tetrahedra. Both S–Re bond lengths are 2.55 Å. In the twenty-second S2- site, S2- is bonded in a 3-coordinate geometry to one Mo+5.33+ and two equivalent Re3+ atoms. In the twenty-third S2- site, S2- is bonded to two Mo+5.33+, one Re3+, and one Fe2+ atom to form distorted SFeReMo2 tetrahedra that share corners with three SFeReMo2 tetrahedra and edges with three SCuRe2Mo tetrahedra. In the twenty-fourth S2- site, S2- is bonded to one Mo+5.33+, two equivalent Re3+, and one Cu1+ atom to form distorted SCuRe2Mo tetrahedra that share corners with three SCuRe2Mo tetrahedra and edges with three SFeRe2Mo tetrahedra. In the twenty-fifth S2- site, S2- is bonded in a 3-coordinate geometry to one Mo+5.33+ and two equivalent Re3+ atoms. In the twenty-sixth S2- site, S2- is bonded in a 3-coordinate geometry to two Mo+5.33+ and one Re3+ atom. In the twenty-seventh S2- site, S2- is bonded to one Mo+5.33+, two equivalent Re3+, and one Fe2+ atom to form distorted SFeRe2Mo tetrahedra that share corners with three SFeReMo2 tetrahedra and edges with three SCuRe2Mo tetrahedra. In the twenty-eighth S2- site, S2- is bonded to one Mo+5.33+, two Re3+, and one Cu1+ atom to form distorted SCuRe2Mo tetrahedra that share corners with three SCuRe2Mo tetrahedra and edges with three SCuRe3 tetrahedra. In the twenty-ninth S2- site, S2- is bonded to one Mo+5.33+, two equivalent Re3+, and one Fe2+ atom to form distorted SFeRe2Mo tetrahedra that share corners with three SFeReMo2 tetrahedra and edges with three SCuRe3 tetrahedra. In the thirtieth S2- site, S2- is bonded to three Re3+ and one Cu1+ atom to form a mixture of distorted edge and corner-sharing SCuRe3 tetrahedra.

36 MATERIALS SCIENCE↗