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Materials Data on KNaCa3Mg10(SiO3)16 by Materials Project

KNaCa3Mg10(SiO3)16 is Esseneite-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. K is bonded in a 2-coordinate geometry to ten O atoms. There are a spread of K–O bond distances ranging from 2.64–3.28 Å. Na is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of Na–O bond distances ranging from 2.39–2.92 Å. There are three inequivalent Ca sites. In the first Ca site, Ca is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of Ca–O bond distances ranging from 2.33–2.85 Å. In the second Ca site, Ca is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of Ca–O bond distances ranging from 2.33–2.84 Å. In the third Ca site, Ca is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of Ca–O bond distances ranging from 2.34–2.84 Å. There are ten inequivalent Mg sites. In the first Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six SiO4 tetrahedra and edges with three MgO6 octahedra. There are a spread of Mg–O bond distances ranging from 1.99–2.18 Å. In the second Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six SiO4 tetrahedra and edges with three MgO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.00–2.19 Å. In the third Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six SiO4 tetrahedra and edges with three MgO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.03–2.14 Å. In the fourth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six SiO4 tetrahedra and edges with three MgO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.03–2.14 Å. In the fifth Mg site, Mg is bonded to six O atoms to form distorted MgO6 octahedra that share corners with four SiO4 tetrahedra and edges with five MgO6 octahedra. There are a spread of Mg–O bond distances ranging from 1.99–2.17 Å. In the sixth Mg site, Mg is bonded to six O atoms to form distorted MgO6 octahedra that share corners with four SiO4 tetrahedra and edges with five MgO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.01–2.14 Å. In the seventh Mg site, Mg is bonded to six O atoms to form distorted MgO6 octahedra that share corners with four SiO4 tetrahedra and edges with five MgO6 octahedra. There are a spread of Mg–O bond distances ranging from 1.99–2.17 Å. In the eighth Mg site, Mg is bonded to six O atoms to form distorted MgO6 octahedra that share corners with four SiO4 tetrahedra and edges with five MgO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.01–2.15 Å. In the ninth Mg site, Mg is bonded to six O atoms to form distorted MgO6 octahedra that share corners with four SiO4 tetrahedra and edges with six MgO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.10–2.35 Å. In the tenth Mg site, Mg is bonded to six O atoms to form distorted MgO6 octahedra that share corners with four SiO4 tetrahedra and edges with six MgO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.10–2.29 Å. There are sixteen inequivalent Si sites. In the first Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with three MgO6 octahedra and corners with three SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 57–62°. There are a spread of Si–O bond distances ranging from 1.62–1.66 Å. In the second Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with three MgO6 octahedra and corners with three SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 56–62°. There are a spread of Si–O bond distances ranging from 1.61–1.67 Å. In the third Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with three MgO6 octahedra and corners with three SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 56–63°. There are a spread of Si–O bond distances ranging from 1.62–1.66 Å. In the fourth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with three MgO6 octahedra and corners with three SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 57–62°. There are a spread of Si–O bond distances ranging from 1.62–1.66 Å. In the fifth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with three MgO6 octahedra and corners with three SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 56–62°. There are a spread of Si–O bond distances ranging from 1.62–1.65 Å. In the sixth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with three MgO6 octahedra and corners with three SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 57–62°. There are a spread of Si–O bond distances ranging from 1.61–1.66 Å. In the seventh Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with three MgO6 octahedra and corners with three SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 57–62°. There are a spread of Si–O bond distances ranging from 1.61–1.66 Å. In the eighth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with three MgO6 octahedra and corners with three SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 56–61°. There are a spread of Si–O bond distances ranging from 1.61–1.66 Å. In the ninth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with three MgO6 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 33–54°. There are a spread of Si–O bond distances ranging from 1.61–1.70 Å. In the tenth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with three MgO6 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 34–57°. There are a spread of Si–O bond distances ranging from 1.60–1.69 Å. In the eleventh Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with three MgO6 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 34–56°. There are a spread of Si–O bond distances ranging from 1.59–1.69 Å. In the twelfth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with three MgO6 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 35–57°. There are a spread of Si–O bond distances ranging from 1.60–1.70 Å. In the thirteenth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with three MgO6 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 33–57°. There are a spread of Si–O bond distances ranging from 1.59–1.70 Å. In the fourteenth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with three MgO6 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 36–57°. There are a spread of Si–O bond distances ranging from 1.61–1.69 Å. In the fifteenth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with three MgO6 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 34–57°. There are a spread of Si–O bond distances ranging from 1.61–1.69 Å. In the sixteenth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with three MgO6 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 33–54°. There are a spread of Si–O bond distances ranging from 1.61–1.70 Å. There are forty-eight inequivalent O sites. In the first O site, O is bonded in a distorted rectangular see-saw-like geometry to one Na, two Mg, and one Si atom. In the second O site, O is bonded in a distorted rectangular see-saw-like geometry to one Ca, two Mg, and one Si atom. In the third O site, O is bonded in a distorted rectangular see-saw-like geometry to one Ca, two Mg, and one Si atom. In the fourth O site, O is bonded in a distorted rectangular see-saw-like geometry to one Ca, two Mg, and one Si atom. In the fifth O site, O is bonded in a distorted rectangular see-saw-like geometry to one Ca, two Mg, and one Si atom. In the sixth O site, O is bonded in a distorted rectangular see-saw-like geometry to one Ca, two Mg, and one Si atom. In the seventh O site, O is bonded in a distorted rectangular see-saw-like geometry to one Na, two Mg, and one Si atom. In the eighth O site, O is bonded in a distorted rectangular see-saw-like geometry to one Ca, two Mg, and one Si atom. In the ninth O site, O is bonded to three Mg and one Si atom to form a mixture of distorted edge and corner-sharing OMg3Si tetrahedra. In the tenth O site, O is bonded to three Mg and one Si atom to form a mixture of distorted edge and corner-sharing OMg3Si tetrahedra. In the eleventh O site, O is bonded to three Mg and one Si atom to form a mixture of distorted edge and corner-sharing OMg3Si tetrahedra. In the twelfth O site, O is bonded to three Mg and one Si atom to form a mixture of distorted edge and corner-sharing OMg3Si tetrahedra. In the thirteenth O site, O is bonded to three Mg and one Si atom to form a mixture of distorted edge and corner-sharing OMg3Si trigonal pyramids. In the fourteenth O site, O is bonded to three Mg and one Si atom to form a mixture of distorted edge and corner-sharing OMg3Si trigonal pyramids. In the fifteenth O site, O is bonded to three Mg and one Si atom to form a mixture of distorted edge and corner-sharing OMg3Si trigonal pyramids. In the sixteenth O site, O is bonded to three Mg and one Si atom to form a mixture of distorted edge and corner-sharing OMg3Si trigonal pyramids. In the seventeenth O site, O is bonded in a 2-coordinate geometry to one K and two Si atoms. In the eighteenth O site, O is bonded in a bent 150 degrees geometry to two Si atoms. In the nineteenth O site, O is bonded in a bent 150 degrees geometry to two Si atoms. In the twentieth O site, O is bonded in a 2-coordinate geometry to one K and two Si atoms. In the twenty-first O site, O is bonded in a distorted T-shaped geometry to one Ca, one Mg, and one Si atom. In the twenty-second O site, O is bonded in a distorted T-shaped geometry to one Ca, one Mg, and one Si atom. In the twenty-third O site, O is bonded in a distorted T-shaped geometry to one Na, one Mg, and one Si atom. In the twenty-fourth O site, O is bonded in a distorted T-shaped geometry to one Ca, one Mg, and one Si atom. In the twenty-fifth O site, O is bonded in a distorted T-shaped geometry to one Na, one Mg, and one Si atom. In the twenty-sixth O site, O is bonded in a distorted T-shaped geometry to one Ca, one Mg, and one Si atom. In the twenty-seventh O site, O is bonded in a distorted T-shaped geometry to one Ca, one Mg, and one Si atom. In the twenty-eighth O site, O is bonded in a distorted T-shaped geometry to one Ca, one Mg, and one Si atom. In the twenty-ninth O site, O is bonded in a 2-coordinate geometry to one K, one Ca, and two Si atoms. In the thirtieth O site, O is bonded in a 2-coordinate geometry to one Ca and two Si atoms. In the thirty-first O site, O is bonded in a 2-coordinate geometry to one Na and two Si atoms. In the thirty-second O site, O is bonded in a 2-coordinate geometry to one K, one Ca, and two Si atoms. In the thirty-third O site, O is bonded in a 2-coordinate geometry to one K, one Na, and two Si atoms. In the thirty-fourth O site, O is bonded in a 2-coordinate geometry to one Ca and two Si atoms. In the thirty-fifth O site, O is bonded in a 3-coordinate geometry to one Ca and two Si atoms. In the thirty-sixth O site, O is bonded in a 2-coordinate geometry to one K, one Ca, and two Si atoms. In

36 MATERIALS SCIENCE↗

Materials Data on Li3FeNi2(PO4)3 by Materials Project

Li3FeNi2(PO4)3 is Ilmenite-derived structured and crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are six inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with four NiO6 octahedra, corners with two PO4 tetrahedra, an edgeedge with one FeO6 octahedra, an edgeedge with one NiO6 octahedra, edges with two equivalent LiO6 octahedra, and edges with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 57–66°. There are a spread of Li–O bond distances ranging from 2.11–2.18 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one FeO6 octahedra, corners with three NiO6 octahedra, corners with two PO4 tetrahedra, an edgeedge with one FeO6 octahedra, an edgeedge with one NiO6 octahedra, edges with two equivalent LiO6 octahedra, and edges with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 57–68°. There are a spread of Li–O bond distances ranging from 2.11–2.18 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one FeO6 octahedra, corners with three NiO6 octahedra, corners with two PO4 tetrahedra, an edgeedge with one FeO6 octahedra, an edgeedge with one NiO6 octahedra, edges with two equivalent LiO6 octahedra, and edges with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 57–66°. There are a spread of Li–O bond distances ranging from 2.09–2.18 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two FeO6 octahedra, corners with two NiO6 octahedra, corners with two PO4 tetrahedra, edges with two equivalent LiO6 octahedra, edges with two NiO6 octahedra, and edges with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 58–68°. There are a spread of Li–O bond distances ranging from 2.10–2.19 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two FeO6 octahedra, corners with two NiO6 octahedra, corners with two PO4 tetrahedra, edges with two equivalent LiO6 octahedra, edges with two NiO6 octahedra, and edges with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 57–67°. There are a spread of Li–O bond distances ranging from 2.09–2.19 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two FeO6 octahedra, corners with two NiO6 octahedra, corners with two PO4 tetrahedra, an edgeedge with one FeO6 octahedra, an edgeedge with one NiO6 octahedra, edges with two equivalent LiO6 octahedra, and edges with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 58–68°. There are a spread of Li–O bond distances ranging from 2.09–2.18 Å. There are four inequivalent Fe2+ sites. In the first Fe2+ site, Fe2+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with four LiO6 octahedra, corners with four NiO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 52–67°. There are a spread of Fe–O bond distances ranging from 2.08–2.24 Å. In the second Fe2+ site, Fe2+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with four LiO6 octahedra, corners with four NiO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 52–68°. There are a spread of Fe–O bond distances ranging from 2.08–2.24 Å. In the third Fe2+ site, Fe2+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with four LiO6 octahedra, corners with four NiO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 52–68°. There are a spread of Fe–O bond distances ranging from 2.08–2.24 Å. In the fourth Fe2+ site, Fe2+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with four LiO6 octahedra, corners with four NiO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 51–68°. There are a spread of Fe–O bond distances ranging from 2.08–2.24 Å. There are eight inequivalent Ni2+ sites. In the first Ni2+ site, Ni2+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with four LiO6 octahedra, corners with four NiO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 51–66°. There are a spread of Ni–O bond distances ranging from 2.07–2.18 Å. In the second Ni2+ site, Ni2+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with four LiO6 octahedra, corners with four NiO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 51–66°. There are a spread of Ni–O bond distances ranging from 2.07–2.18 Å. In the third Ni2+ site, Ni2+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with two equivalent NiO6 octahedra, corners with four LiO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 51–66°. There are a spread of Ni–O bond distances ranging from 2.08–2.17 Å. In the fourth Ni2+ site, Ni2+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with two equivalent NiO6 octahedra, corners with four LiO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 51–65°. There are a spread of Ni–O bond distances ranging from 2.08–2.17 Å. In the fifth Ni2+ site, Ni2+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with four LiO6 octahedra, corners with four NiO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 51–66°. There are a spread of Ni–O bond distances ranging from 2.08–2.17 Å. In the sixth Ni2+ site, Ni2+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with four LiO6 octahedra, corners with four FeO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 52–66°. There are a spread of Ni–O bond distances ranging from 2.07–2.17 Å. In the seventh Ni2+ site, Ni2+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with four LiO6 octahedra, corners with four FeO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 52–65°. There are a spread of Ni–O bond distances ranging from 2.07–2.17 Å. In the eighth Ni2+ site, Ni2+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with four LiO6 octahedra, corners with four FeO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 52–66°. There are a spread of Ni–O bond distances ranging from 2.07–2.17 Å. There are twelve inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one FeO6 octahedra, corners with two equivalent LiO6 octahedra, corners with three NiO6 octahedra, an edgeedge with one FeO6 octahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–58°. There are a spread of P–O bond distances ranging from 1.53–1.57 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one FeO6 octahedra, corners with two equivalent LiO6 octahedra, corners with three NiO6 octahedra, an edgeedge with one FeO6 octahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–58°. There are a spread of P–O bond distances ranging from 1.53–1.57 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two equivalent LiO6 octahedra, corners with two FeO6 octahedra, corners with two equivalent NiO6 octahedra, an edgeedge with one FeO6 octahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–59°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one FeO6 octahedra, corners with two equivalent LiO6 octahedra, corners with three NiO6 octahedra, an edgeedge with one NiO6 octahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 53–57°. There are a spread of P–O bond distances ranging from 1.54–1.58 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two equivalent LiO6 octahedra, corners with two FeO6 octahedra, corners with two equivalent NiO6 octahedra, an edgeedge with one NiO6 octahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 53–59°. There are a spread of P–O bond distances ranging from 1.53–1.58 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one FeO6 octahedra, corners with two equivalent LiO6 octahedra, corners with three NiO6 octahedra, an edgeedge with one FeO6 octahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 53–57°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two equivalent LiO6 octahedra, corners with four NiO6 octahedra, an edgeedge with one NiO6 octahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 51–57°. There are a spread of P–O bond distances ranging from 1.54–1.58 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two equivalent LiO6 octahedra, corners with two equivalent FeO6 octahedra, corners with two NiO6 octahedra, an edgeedge with one NiO6 octahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 51–57°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two equivalent LiO6 octahedra, corners with four NiO6 octahedra, an edgeedge with one NiO6 octahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 51–57°. There are a spread of P–O bond distances ranging from 1.54–1.58 Å. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two equivalent LiO6 octahedra, corners with two equivalent FeO6 octahedra, corners with two NiO6 octahedra, an edgeedge with one NiO6 octahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahe

36 MATERIALS SCIENCE↗

Materials Data on Mg(GaO2)2 by Materials Project

MgGa2O4 is Spinel-like structured and crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are twelve inequivalent Mg2+ sites. In the first Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with three MgO6 octahedra and corners with nine GaO6 octahedra. The corner-sharing octahedra tilt angles range from 56–59°. There is three shorter (1.97 Å) and one longer (2.00 Å) Mg–O bond length. In the second Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with three MgO6 octahedra and corners with nine GaO6 octahedra. The corner-sharing octahedra tilt angles range from 56–60°. There are a spread of Mg–O bond distances ranging from 1.96–1.99 Å. In the third Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with three MgO4 tetrahedra, corners with three GaO4 tetrahedra, and edges with six GaO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.05–2.09 Å. In the fourth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share a cornercorner with one MgO4 tetrahedra, corners with five GaO4 tetrahedra, an edgeedge with one MgO6 octahedra, and edges with five GaO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.04–2.09 Å. In the fifth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six GaO4 tetrahedra, edges with two MgO6 octahedra, and edges with four equivalent GaO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.06–2.08 Å. In the sixth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six GaO4 tetrahedra, edges with two MgO6 octahedra, and edges with four GaO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.06–2.10 Å. In the seventh Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six GaO4 tetrahedra, edges with two MgO6 octahedra, and edges with four equivalent GaO6 octahedra. There are four shorter (2.06 Å) and two longer (2.09 Å) Mg–O bond lengths. In the eighth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six GaO4 tetrahedra, edges with two MgO6 octahedra, and edges with four GaO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.06–2.09 Å. In the ninth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six GaO4 tetrahedra, edges with two MgO6 octahedra, and edges with four equivalent GaO6 octahedra. There are four shorter (2.06 Å) and two longer (2.09 Å) Mg–O bond lengths. In the tenth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six GaO4 tetrahedra, edges with two MgO6 octahedra, and edges with four GaO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.06–2.09 Å. In the eleventh Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with two equivalent MgO4 tetrahedra, corners with four GaO4 tetrahedra, an edgeedge with one MgO6 octahedra, and edges with five GaO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.05–2.09 Å. In the twelfth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six GaO4 tetrahedra, edges with two MgO6 octahedra, and edges with four GaO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.07–2.10 Å. There are eighteen inequivalent Ga3+ sites. In the first Ga3+ site, Ga3+ is bonded to four O2- atoms to form GaO4 tetrahedra that share corners with three MgO6 octahedra and corners with nine GaO6 octahedra. The corner-sharing octahedra tilt angles range from 56–59°. There are a spread of Ga–O bond distances ranging from 1.89–1.96 Å. In the second Ga3+ site, Ga3+ is bonded to four O2- atoms to form GaO4 tetrahedra that share corners with three MgO6 octahedra and corners with nine GaO6 octahedra. The corner-sharing octahedra tilt angles range from 57–59°. There are a spread of Ga–O bond distances ranging from 1.90–1.96 Å. In the third Ga3+ site, Ga3+ is bonded to six O2- atoms to form GaO6 octahedra that share corners with three equivalent MgO4 tetrahedra, corners with three equivalent GaO4 tetrahedra, edges with two MgO6 octahedra, and edges with four GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.96–2.09 Å. In the fourth Ga3+ site, Ga3+ is bonded to four O2- atoms to form GaO4 tetrahedra that share corners with six MgO6 octahedra and corners with six GaO6 octahedra. The corner-sharing octahedra tilt angles range from 55–57°. There is two shorter (1.87 Å) and two longer (1.91 Å) Ga–O bond length. In the fifth Ga3+ site, Ga3+ is bonded to six O2- atoms to form GaO6 octahedra that share corners with three MgO4 tetrahedra, corners with three GaO4 tetrahedra, edges with two equivalent MgO6 octahedra, and edges with four GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.96–2.08 Å. In the sixth Ga3+ site, Ga3+ is bonded to six O2- atoms to form GaO6 octahedra that share a cornercorner with one MgO4 tetrahedra, corners with five GaO4 tetrahedra, edges with three MgO6 octahedra, and edges with three GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.96–2.09 Å. In the seventh Ga3+ site, Ga3+ is bonded to six O2- atoms to form GaO6 octahedra that share corners with three equivalent MgO4 tetrahedra, corners with three equivalent GaO4 tetrahedra, edges with two MgO6 octahedra, and edges with four GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.96–2.08 Å. In the eighth Ga3+ site, Ga3+ is bonded to four O2- atoms to form GaO4 tetrahedra that share corners with six MgO6 octahedra and corners with six GaO6 octahedra. The corner-sharing octahedra tilt angles range from 56–58°. There are a spread of Ga–O bond distances ranging from 1.88–1.95 Å. In the ninth Ga3+ site, Ga3+ is bonded to four O2- atoms to form GaO4 tetrahedra that share corners with six MgO6 octahedra and corners with six GaO6 octahedra. The corner-sharing octahedra tilt angles range from 56–57°. There is two shorter (1.88 Å) and two longer (1.93 Å) Ga–O bond length. In the tenth Ga3+ site, Ga3+ is bonded to four O2- atoms to form GaO4 tetrahedra that share corners with six MgO6 octahedra and corners with six GaO6 octahedra. The corner-sharing octahedra tilt angles range from 56–57°. There is two shorter (1.88 Å) and two longer (1.93 Å) Ga–O bond length. In the eleventh Ga3+ site, Ga3+ is bonded to four O2- atoms to form GaO4 tetrahedra that share corners with six MgO6 octahedra and corners with six GaO6 octahedra. The corner-sharing octahedra tilt angles range from 56–57°. There is two shorter (1.88 Å) and two longer (1.93 Å) Ga–O bond length. In the twelfth Ga3+ site, Ga3+ is bonded to six O2- atoms to form GaO6 octahedra that share corners with six GaO4 tetrahedra, edges with two equivalent GaO6 octahedra, and edges with four MgO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.99–2.05 Å. In the thirteenth Ga3+ site, Ga3+ is bonded to four O2- atoms to form GaO4 tetrahedra that share corners with six MgO6 octahedra and corners with six GaO6 octahedra. The corner-sharing octahedra tilt angles range from 55–57°. There are a spread of Ga–O bond distances ranging from 1.88–1.93 Å. In the fourteenth Ga3+ site, Ga3+ is bonded to four O2- atoms to form GaO4 tetrahedra that share corners with six MgO6 octahedra and corners with six GaO6 octahedra. The corner-sharing octahedra tilt angles range from 56–57°. There is two shorter (1.88 Å) and two longer (1.93 Å) Ga–O bond length. In the fifteenth Ga3+ site, Ga3+ is bonded to six O2- atoms to form GaO6 octahedra that share corners with six GaO4 tetrahedra, edges with two equivalent GaO6 octahedra, and edges with four MgO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.99–2.05 Å. In the sixteenth Ga3+ site, Ga3+ is bonded to six O2- atoms to form GaO6 octahedra that share corners with six GaO4 tetrahedra, edges with two equivalent GaO6 octahedra, and edges with four MgO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.99–2.05 Å. In the seventeenth Ga3+ site, Ga3+ is bonded to four O2- atoms to form GaO4 tetrahedra that share corners with six MgO6 octahedra and corners with six GaO6 octahedra. The corner-sharing octahedra tilt angles range from 56–57°. There is two shorter (1.88 Å) and two longer (1.93 Å) Ga–O bond length. In the eighteenth Ga3+ site, Ga3+ is bonded to six O2- atoms to form GaO6 octahedra that share corners with two equivalent MgO4 tetrahedra, corners with four GaO4 tetrahedra, edges with three MgO6 octahedra, and edges with three GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.96–2.06 Å. There are thirty-six inequivalent O2- sites. In the first O2- site, O2- is bonded to one Mg2+ and three Ga3+ atoms to form a mixture of distorted corner and edge-sharing OMgGa3 trigonal pyramids. In the second O2- site, O2- is bonded to one Mg2+ and three Ga3+ atoms to form a mixture of distorted corner and edge-sharing OMgGa3 trigonal pyramids. In the third O2- site, O2- is bonded to four Ga3+ atoms to form a mixture of distorted corner and edge-sharing OGa4 trigonal pyramids. In the fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Mg2+ and three Ga3+ atoms. In the fifth O2- site, O2- is bonded to one Mg2+ and three Ga3+ atoms to form distorted OMgGa3 trigonal pyramids that share corners with three OMgGa3 trigonal pyramids and edges with three OGa4 trigonal pyramids. In the sixth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Mg2+ and two equivalent Ga3+ atoms. In the seventh O2- site, O2- is bonded to one Mg2+ and three Ga3+ atoms to form distorted edge-sharing OMgGa3 trigonal pyramids. In the eighth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Mg2+ and two Ga3+ atoms. In the ninth O2- site, O2- is bonded to four Ga3+ atoms to form a mixture of distorted corner and edge-sharing OGa4 trigonal pyramids. In the tenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Mg2+ and two Ga3+ atoms. In the eleventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Mg2+ and three Ga3+ atoms. In the twelfth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Mg2+ and two equivalent Ga3+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Mg2+ and three Ga3+ atoms. In the fourteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Mg2+ and two Ga3+ atoms. In the fifteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Mg2+ and three Ga3+ atoms. In the sixteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Mg2+ and two Ga3+ atoms. In the seventeenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Mg2+ and three Ga3+ atoms. In the eighteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Mg2+ and three Ga3+ atoms. In the nineteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Mg2+ and three Ga3+ atoms. In the twentieth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Mg2+ and two Ga3+ atoms. In the twenty-first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Mg2+ and three Ga3+ atoms. In the twenty-second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Mg2+ and three Ga3+ atoms. In the twenty-third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Mg2+ and two Ga3+ atoms. In the twenty-fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like g

36 MATERIALS SCIENCE↗

Materials Data on Ce6Y26O51 by Materials Project

Ce6Y26O51 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are six inequivalent Ce sites. In the first Ce site, Ce is bonded to seven O atoms to form distorted CeO7 pentagonal bipyramids that share a cornercorner with one CeO6 octahedra, corners with two YO6 octahedra, edges with three YO6 octahedra, and edges with six YO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 47–57°. There are a spread of Ce–O bond distances ranging from 2.20–2.54 Å. In the second Ce site, Ce is bonded to seven O atoms to form distorted CeO7 pentagonal bipyramids that share corners with three YO6 octahedra, an edgeedge with one CeO6 octahedra, edges with two YO6 octahedra, and edges with six YO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 50–55°. There are a spread of Ce–O bond distances ranging from 2.22–2.46 Å. In the third Ce site, Ce is bonded to six O atoms to form distorted CeO6 octahedra that share corners with four YO6 octahedra, corners with two YO7 pentagonal bipyramids, an edgeedge with one CeO6 octahedra, edges with two YO6 octahedra, and edges with three YO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 52–59°. There are a spread of Ce–O bond distances ranging from 2.19–2.32 Å. In the fourth Ce site, Ce is bonded to six O atoms to form distorted CeO6 octahedra that share corners with four YO6 octahedra, a cornercorner with one CeO7 pentagonal bipyramid, a cornercorner with one YO7 pentagonal bipyramid, an edgeedge with one CeO6 octahedra, an edgeedge with one YO6 octahedra, an edgeedge with one CeO7 pentagonal bipyramid, and edges with three YO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 55–58°. There are a spread of Ce–O bond distances ranging from 2.19–2.35 Å. In the fifth Ce site, Ce is bonded to six O atoms to form distorted CeO6 octahedra that share corners with three YO6 octahedra, corners with three YO7 pentagonal bipyramids, an edgeedge with one CeO6 octahedra, edges with four YO6 octahedra, and an edgeedge with one YO7 pentagonal bipyramid. The corner-sharing octahedra tilt angles range from 55–57°. There are a spread of Ce–O bond distances ranging from 2.18–2.35 Å. In the sixth Ce site, Ce is bonded to six O atoms to form distorted CeO6 octahedra that share corners with six YO6 octahedra, an edgeedge with one CeO6 octahedra, edges with two YO6 octahedra, and edges with three YO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 54–58°. There are a spread of Ce–O bond distances ranging from 2.21–2.35 Å. There are twenty-six inequivalent Y sites. In the first Y site, Y is bonded to six O atoms to form YO6 octahedra that share a cornercorner with one CeO6 octahedra, corners with three YO6 octahedra, a cornercorner with one CeO7 pentagonal bipyramid, a cornercorner with one YO7 pentagonal bipyramid, an edgeedge with one CeO6 octahedra, an edgeedge with one YO6 octahedra, an edgeedge with one CeO7 pentagonal bipyramid, and edges with three YO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 56–57°. There are a spread of Y–O bond distances ranging from 2.25–2.34 Å. In the second Y site, Y is bonded to six O atoms to form distorted YO6 octahedra that share a cornercorner with one CeO6 octahedra, corners with three YO6 octahedra, a cornercorner with one CeO7 pentagonal bipyramid, a cornercorner with one YO7 pentagonal bipyramid, edges with four YO6 octahedra, and edges with two YO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 54–58°. There are a spread of Y–O bond distances ranging from 2.21–2.45 Å. In the third Y site, Y is bonded to seven O atoms to form distorted YO7 pentagonal bipyramids that share corners with two YO6 octahedra, a cornercorner with one YO7 pentagonal bipyramid, edges with two CeO6 octahedra, edges with three YO6 octahedra, edges with two CeO7 pentagonal bipyramids, and edges with two YO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 52–54°. There are a spread of Y–O bond distances ranging from 2.28–2.45 Å. In the fourth Y site, Y is bonded to six O atoms to form distorted YO6 octahedra that share a cornercorner with one CeO6 octahedra, corners with three YO6 octahedra, corners with two YO7 pentagonal bipyramids, edges with three YO6 octahedra, an edgeedge with one CeO7 pentagonal bipyramid, and edges with two YO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 55–59°. There are a spread of Y–O bond distances ranging from 2.24–2.36 Å. In the fifth Y site, Y is bonded to six O atoms to form distorted YO6 octahedra that share a cornercorner with one CeO6 octahedra, corners with three YO6 octahedra, corners with two YO7 pentagonal bipyramids, edges with four YO6 octahedra, and edges with two YO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 53–57°. There are a spread of Y–O bond distances ranging from 2.28–2.37 Å. In the sixth Y site, Y is bonded to six O atoms to form distorted YO6 octahedra that share a cornercorner with one CeO6 octahedra, corners with four YO6 octahedra, a cornercorner with one YO7 pentagonal bipyramid, an edgeedge with one CeO6 octahedra, edges with three YO6 octahedra, and edges with two YO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 50–59°. There are a spread of Y–O bond distances ranging from 2.25–2.38 Å. In the seventh Y site, Y is bonded to six O atoms to form distorted YO6 octahedra that share a cornercorner with one CeO6 octahedra, corners with three YO6 octahedra, a cornercorner with one CeO7 pentagonal bipyramid, a cornercorner with one YO7 pentagonal bipyramid, an edgeedge with one CeO6 octahedra, edges with two YO6 octahedra, an edgeedge with one CeO7 pentagonal bipyramid, and edges with two YO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 52–57°. There are a spread of Y–O bond distances ranging from 2.25–2.38 Å. In the eighth Y site, Y is bonded to seven O atoms to form distorted YO7 pentagonal bipyramids that share a cornercorner with one CeO6 octahedra, corners with two YO6 octahedra, edges with four YO6 octahedra, an edgeedge with one CeO7 pentagonal bipyramid, and edges with four YO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 44–53°. There are a spread of Y–O bond distances ranging from 2.23–2.58 Å. In the ninth Y site, Y is bonded to six O atoms to form distorted YO6 octahedra that share a cornercorner with one CeO6 octahedra, corners with five YO6 octahedra, edges with three YO6 octahedra, and edges with three YO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 54–57°. There are a spread of Y–O bond distances ranging from 2.27–2.37 Å. In the tenth Y site, Y is bonded to seven O atoms to form distorted YO7 pentagonal bipyramids that share corners with three YO6 octahedra, edges with two CeO6 octahedra, edges with three YO6 octahedra, and edges with four YO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 52–53°. There are a spread of Y–O bond distances ranging from 2.24–2.50 Å. In the eleventh Y site, Y is bonded to six O atoms to form YO6 octahedra that share a cornercorner with one CeO6 octahedra, corners with four YO6 octahedra, a cornercorner with one YO7 pentagonal bipyramid, an edgeedge with one CeO6 octahedra, edges with three YO6 octahedra, and edges with two YO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 55–59°. There are a spread of Y–O bond distances ranging from 2.22–2.37 Å. In the twelfth Y site, Y is bonded to six O atoms to form YO6 octahedra that share corners with two CeO6 octahedra, corners with two YO6 octahedra, a cornercorner with one CeO7 pentagonal bipyramid, a cornercorner with one YO7 pentagonal bipyramid, edges with two YO6 octahedra, an edgeedge with one CeO7 pentagonal bipyramid, and edges with three YO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 56–59°. There are a spread of Y–O bond distances ranging from 2.23–2.36 Å. In the thirteenth Y site, Y is bonded to six O atoms to form distorted YO6 octahedra that share a cornercorner with one CeO6 octahedra, corners with two YO6 octahedra, a cornercorner with one CeO7 pentagonal bipyramid, corners with two YO7 pentagonal bipyramids, an edgeedge with one CeO6 octahedra, edges with two YO6 octahedra, an edgeedge with one CeO7 pentagonal bipyramid, and edges with two YO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 54–58°. There are a spread of Y–O bond distances ranging from 2.24–2.39 Å. In the fourteenth Y site, Y is bonded to six O atoms to form distorted YO6 octahedra that share a cornercorner with one CeO6 octahedra, corners with two YO6 octahedra, corners with three YO7 pentagonal bipyramids, an edgeedge with one CeO6 octahedra, edges with four YO6 octahedra, and an edgeedge with one YO7 pentagonal bipyramid. The corner-sharing octahedra tilt angles range from 55–58°. There are a spread of Y–O bond distances ranging from 2.24–2.44 Å. In the fifteenth Y site, Y is bonded to six O atoms to form distorted YO6 octahedra that share a cornercorner with one CeO6 octahedra, corners with three YO6 octahedra, corners with two YO7 pentagonal bipyramids, edges with three YO6 octahedra, and edges with three YO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 54–57°. There are a spread of Y–O bond distances ranging from 2.21–2.35 Å. In the sixteenth Y site, Y is bonded to seven O atoms to form distorted YO7 pentagonal bipyramids that share corners with two YO6 octahedra, a cornercorner with one YO7 pentagonal bipyramid, an edgeedge with one CeO6 octahedra, edges with three YO6 octahedra, edges with two CeO7 pentagonal bipyramids, and edges with three YO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 48–54°. There are a spread of Y–O bond distances ranging from 2.24–2.50 Å. In the seventeenth Y site, Y is bonded to seven O atoms to form distorted YO7 pentagonal bipyramids that share a cornercorner with one CeO6 octahedra, a cornercorner with one YO6 octahedra, a cornercorner with one YO7 pentagonal bipyramid, edges with six YO6 octahedra, an edgeedge with one CeO7 pentagonal bipyramid, and edges with two YO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 47–55°. There are a spread of Y–O bond distances ranging from 2.29–2.49 Å. In the eighteenth Y site, Y is bonded to seven O atoms to form distorted YO7 pentagonal bipyramids that share a cornercorner with one CeO6 octahedra, corners with two YO6 octahedra, an edgeedge with one CeO6 octahedra, edges with two YO6 octahedra, edges with two CeO7 pentagonal bipyramids, and edges with four YO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 49–56°. There are a spread of Y–O bond distances ranging from 2.30–2.43 Å. In the nineteenth Y site, Y is bonded to seven O atoms to form distorted YO7 pentagonal bipyramids that share a cornercorner with one CeO6 octahedra, corners with two YO6 octahedra, an edgeedge with one CeO6 octahedra, edges with two YO6 octahedra, edges with two CeO7 pentagonal bipyramids, and edges with four YO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 47–57°. There are a spread of Y–O bond distances ranging from 2.25–2.56 Å. In the twentieth Y site, Y is bonded to six O atoms to form YO6 octahedra that share corners with two CeO6 octahedra, corners with three YO6 octahedra, a cornercorner with one YO7 pentagonal bipyramid, edges with four YO6 octahedra, and edges with two YO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 55–59°. There are a spread of Y–O bond distances ranging from 2.20–2.37 Å. In the twenty-first Y si

36 MATERIALS SCIENCE↗

Materials Data on Zr2N2O by Materials Project

Zr2ON2 is Ilmenite-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are sixteen inequivalent Zr4+ sites. In the first Zr4+ site, Zr4+ is bonded to four N3- and two O2- atoms to form ZrN4O2 octahedra that share corners with six ZrN4O2 octahedra and edges with six ZrN3O3 octahedra. The corner-sharing octahedra tilt angles range from 53–57°. There are a spread of Zr–N bond distances ranging from 2.12–2.22 Å. There are one shorter (2.31 Å) and one longer (2.32 Å) Zr–O bond lengths. In the second Zr4+ site, Zr4+ is bonded to three N3- and three O2- atoms to form a mixture of distorted edge and corner-sharing ZrN3O3 octahedra. The corner-sharing octahedra tilt angles range from 51–55°. There are a spread of Zr–N bond distances ranging from 2.10–2.19 Å. There are a spread of Zr–O bond distances ranging from 2.17–2.35 Å. In the third Zr4+ site, Zr4+ is bonded to four N3- and two O2- atoms to form distorted ZrN4O2 octahedra that share corners with six ZrN3O3 octahedra and edges with six ZrN4O2 octahedra. The corner-sharing octahedra tilt angles range from 52–58°. There are a spread of Zr–N bond distances ranging from 2.17–2.30 Å. There are one shorter (2.17 Å) and one longer (2.28 Å) Zr–O bond lengths. In the fourth Zr4+ site, Zr4+ is bonded to four N3- and two O2- atoms to form distorted ZrN4O2 octahedra that share corners with six ZrN4O2 octahedra and edges with six ZrN3O3 octahedra. The corner-sharing octahedra tilt angles range from 51–57°. There are a spread of Zr–N bond distances ranging from 2.17–2.27 Å. There are one shorter (2.18 Å) and one longer (2.25 Å) Zr–O bond lengths. In the fifth Zr4+ site, Zr4+ is bonded to three N3- and three O2- atoms to form a mixture of distorted edge and corner-sharing ZrN3O3 octahedra. The corner-sharing octahedra tilt angles range from 52–57°. There are a spread of Zr–N bond distances ranging from 2.10–2.23 Å. There are a spread of Zr–O bond distances ranging from 2.16–2.27 Å. In the sixth Zr4+ site, Zr4+ is bonded to four N3- and two O2- atoms to form a mixture of distorted edge and corner-sharing ZrN4O2 octahedra. The corner-sharing octahedra tilt angles range from 50–59°. There are a spread of Zr–N bond distances ranging from 2.14–2.25 Å. There are one shorter (2.25 Å) and one longer (2.27 Å) Zr–O bond lengths. In the seventh Zr4+ site, Zr4+ is bonded to three N3- and three O2- atoms to form a mixture of distorted edge and corner-sharing ZrN3O3 octahedra. The corner-sharing octahedra tilt angles range from 50–56°. There are a spread of Zr–N bond distances ranging from 2.14–2.27 Å. There are a spread of Zr–O bond distances ranging from 2.16–2.25 Å. In the eighth Zr4+ site, Zr4+ is bonded to four N3- and two O2- atoms to form ZrN4O2 octahedra that share corners with six ZrN4O2 octahedra and edges with six ZrN3O3 octahedra. The corner-sharing octahedra tilt angles range from 53–57°. There are a spread of Zr–N bond distances ranging from 2.14–2.25 Å. There are one shorter (2.28 Å) and one longer (2.31 Å) Zr–O bond lengths. In the ninth Zr4+ site, Zr4+ is bonded to five N3- and one O2- atom to form ZrN5O octahedra that share corners with six ZrN3O3 octahedra and edges with six ZrN4O2 octahedra. The corner-sharing octahedra tilt angles range from 52–59°. There are a spread of Zr–N bond distances ranging from 2.14–2.28 Å. The Zr–O bond length is 2.33 Å. In the tenth Zr4+ site, Zr4+ is bonded to three N3- and three O2- atoms to form ZrN3O3 octahedra that share corners with six ZrN3O3 octahedra and edges with six ZrN4O2 octahedra. The corner-sharing octahedra tilt angles range from 49–57°. There are a spread of Zr–N bond distances ranging from 2.11–2.16 Å. There are a spread of Zr–O bond distances ranging from 2.23–2.29 Å. In the eleventh Zr4+ site, Zr4+ is bonded to five N3- and one O2- atom to form a mixture of distorted edge and corner-sharing ZrN5O octahedra. The corner-sharing octahedra tilt angles range from 53–57°. There are a spread of Zr–N bond distances ranging from 2.14–2.25 Å. The Zr–O bond length is 2.32 Å. In the twelfth Zr4+ site, Zr4+ is bonded to five N3- and one O2- atom to form distorted ZrN5O octahedra that share corners with six ZrN3O3 octahedra and edges with six ZrN4O2 octahedra. The corner-sharing octahedra tilt angles range from 52–57°. There are a spread of Zr–N bond distances ranging from 2.16–2.30 Å. The Zr–O bond length is 2.26 Å. In the thirteenth Zr4+ site, Zr4+ is bonded to four N3- and two O2- atoms to form distorted ZrN4O2 octahedra that share corners with six ZrN4O2 octahedra and edges with six ZrN3O3 octahedra. The corner-sharing octahedra tilt angles range from 52–57°. There are a spread of Zr–N bond distances ranging from 2.12–2.25 Å. There are one shorter (2.21 Å) and one longer (2.33 Å) Zr–O bond lengths. In the fourteenth Zr4+ site, Zr4+ is bonded to four N3- and two O2- atoms to form distorted ZrN4O2 octahedra that share corners with six ZrN4O2 octahedra and edges with six ZrN3O3 octahedra. The corner-sharing octahedra tilt angles range from 49–54°. There are a spread of Zr–N bond distances ranging from 2.15–2.25 Å. There are one shorter (2.17 Å) and one longer (2.23 Å) Zr–O bond lengths. In the fifteenth Zr4+ site, Zr4+ is bonded to four N3- and two O2- atoms to form distorted ZrN4O2 octahedra that share corners with six ZrN3O3 octahedra and edges with six ZrN4O2 octahedra. The corner-sharing octahedra tilt angles range from 52–55°. There are a spread of Zr–N bond distances ranging from 2.18–2.25 Å. There are one shorter (2.19 Å) and one longer (2.20 Å) Zr–O bond lengths. In the sixteenth Zr4+ site, Zr4+ is bonded to five N3- and one O2- atom to form a mixture of distorted edge and corner-sharing ZrN5O octahedra. The corner-sharing octahedra tilt angles range from 51–58°. There are a spread of Zr–N bond distances ranging from 2.14–2.26 Å. The Zr–O bond length is 2.31 Å. There are sixteen inequivalent N3- sites. In the first N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share a cornercorner with one OZr4 tetrahedra, corners with four OZr4 trigonal pyramids, corners with seven NZr4 trigonal pyramids, edges with two NZr4 trigonal pyramids, and edges with two OZr4 trigonal pyramids. In the second N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share a cornercorner with one NZr4 tetrahedra, a cornercorner with one OZr4 tetrahedra, corners with four OZr4 trigonal pyramids, corners with six NZr4 trigonal pyramids, edges with two NZr4 trigonal pyramids, and edges with two OZr4 trigonal pyramids. In the third N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share corners with three OZr4 trigonal pyramids, corners with nine NZr4 trigonal pyramids, an edgeedge with one OZr4 tetrahedra, an edgeedge with one NZr4 trigonal pyramid, and edges with two OZr4 trigonal pyramids. In the fourth N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share corners with three OZr4 trigonal pyramids, corners with nine NZr4 trigonal pyramids, edges with two NZr4 trigonal pyramids, and edges with two OZr4 trigonal pyramids. In the fifth N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share a cornercorner with one NZr4 tetrahedra, corners with four OZr4 trigonal pyramids, corners with seven NZr4 trigonal pyramids, edges with two NZr4 trigonal pyramids, and edges with two OZr4 trigonal pyramids. In the sixth N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share a cornercorner with one NZr4 tetrahedra, a cornercorner with one OZr4 tetrahedra, corners with three OZr4 trigonal pyramids, corners with seven NZr4 trigonal pyramids, an edgeedge with one OZr4 trigonal pyramid, and edges with three NZr4 trigonal pyramids. In the seventh N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share a cornercorner with one NZr4 tetrahedra, a cornercorner with one OZr4 tetrahedra, corners with four OZr4 trigonal pyramids, corners with six NZr4 trigonal pyramids, edges with two NZr4 trigonal pyramids, and edges with two OZr4 trigonal pyramids. In the eighth N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share a cornercorner with one NZr4 tetrahedra, a cornercorner with one OZr4 tetrahedra, corners with three OZr4 trigonal pyramids, corners with seven NZr4 trigonal pyramids, an edgeedge with one NZr4 trigonal pyramid, and edges with three OZr4 trigonal pyramids. In the ninth N3- site, N3- is bonded to four Zr4+ atoms to form NZr4 trigonal pyramids that share a cornercorner with one NZr4 tetrahedra, a cornercorner with one OZr4 tetrahedra, corners with four OZr4 trigonal pyramids, corners with six NZr4 trigonal pyramids, and edges with four NZr4 trigonal pyramids. In the tenth N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share a cornercorner with one OZr4 tetrahedra, corners with three OZr4 trigonal pyramids, corners with eight NZr4 trigonal pyramids, an edgeedge with one NZr4 tetrahedra, an edgeedge with one OZr4 trigonal pyramid, and edges with two NZr4 trigonal pyramids. In the eleventh N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share a cornercorner with one NZr4 tetrahedra, corners with three OZr4 trigonal pyramids, corners with eight NZr4 trigonal pyramids, an edgeedge with one OZr4 tetrahedra, an edgeedge with one NZr4 trigonal pyramid, and edges with two OZr4 trigonal pyramids. In the twelfth N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share a cornercorner with one NZr4 tetrahedra, corners with four OZr4 trigonal pyramids, corners with seven NZr4 trigonal pyramids, an edgeedge with one OZr4 trigonal pyramid, and edges with three NZr4 trigonal pyramids. In the thirteenth N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share corners with four OZr4 trigonal pyramids, corners with eight NZr4 trigonal pyramids, edges with two NZr4 trigonal pyramids, and edges with two OZr4 trigonal pyramids. In the fourteenth N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 tetrahedra that share corners with three OZr4 trigonal pyramids, corners with nine NZr4 trigonal pyramids, an edgeedge with one OZr4 tetrahedra, an edgeedge with one OZr4 trigonal pyramid, and edges with two NZr4 trigonal pyramids. In the fifteenth N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share a cornercorner with one OZr4 tetrahedra, corners with four OZr4 trigonal pyramids, corners with seven NZr4 trigonal pyramids, an edgeedge with one NZr4 tetrahedra, an edgeedge with one OZr4 trigonal pyramid, and edges with two NZr4 trigonal pyramids. In the sixteenth N3- site, N3- is bonded to four Zr4+ atoms to form NZr4 trigonal pyramids that share a cornercorner with one NZr4 tetrahedra, corners with three OZr4 trigonal pyramids, corners with eight NZr4 trigonal pyramids, an edgeedge with one OZr4 trigonal pyramid, and edges with three NZr4 trigonal pyramids. There are eight inequivalent O2- sites. In the first O2- site, O2- is bonded to four Zr4+ atoms to form distorted OZr4 trigonal pyramids that share a cornercorner with one NZr4 tetrahedra, corners with three OZr4 trigonal pyramids, corners with eight NZr4 trigonal pyramids, an edgeedge with one OZr4 trigonal pyramid, and edges with three NZr4 trigonal pyramids. In the second O2- site, O2- is bonded to four Zr4+ atoms to form distorted OZr4 trigonal pyramids that share a cornercorner with one NZr4 tetrahedra, a cornercorner with one OZr4 tetrahedra, corners with three OZr4 trigonal pyramids, corners with seven NZr4 trigonal pyramids, and edges with four NZr4 trigonal pyramids. In the third O2- site, O2- i

36 MATERIALS SCIENCE↗

Materials Data on Li3ZnFe2(PO4)3 by Materials Project

Li3Fe2Zn(PO4)3 is Ilmenite-derived structured and 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 to six O2- atoms to form LiO6 octahedra that share a cornercorner with one ZnO6 octahedra, corners with three FeO6 octahedra, corners with two PO4 tetrahedra, an edgeedge with one FeO6 octahedra, an edgeedge with one ZnO6 octahedra, edges with two LiO6 octahedra, and edges with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 57–68°. There are a spread of Li–O bond distances ranging from 2.09–2.19 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with four FeO6 octahedra, corners with two PO4 tetrahedra, an edgeedge with one FeO6 octahedra, an edgeedge with one ZnO6 octahedra, edges with two LiO6 octahedra, and edges with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 58–68°. There are a spread of Li–O bond distances ranging from 2.10–2.20 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one ZnO6 octahedra, corners with three FeO6 octahedra, corners with two PO4 tetrahedra, an edgeedge with one FeO6 octahedra, an edgeedge with one ZnO6 octahedra, edges with two LiO6 octahedra, and edges with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 57–68°. There are a spread of Li–O bond distances ranging from 2.10–2.20 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two FeO6 octahedra, corners with two ZnO6 octahedra, corners with two PO4 tetrahedra, edges with two LiO6 octahedra, edges with two FeO6 octahedra, and edges with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 57–68°. There are a spread of Li–O bond distances ranging from 2.10–2.19 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two FeO6 octahedra, corners with two ZnO6 octahedra, corners with two PO4 tetrahedra, an edgeedge with one FeO6 octahedra, an edgeedge with one ZnO6 octahedra, edges with two LiO6 octahedra, and edges with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 57–68°. There are a spread of Li–O bond distances ranging from 2.10–2.19 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two FeO6 octahedra, corners with two ZnO6 octahedra, corners with two PO4 tetrahedra, edges with two LiO6 octahedra, edges with two FeO6 octahedra, and edges with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 58–68°. There are a spread of Li–O bond distances ranging from 2.10–2.19 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with four FeO6 octahedra, corners with two PO4 tetrahedra, an edgeedge with one FeO6 octahedra, an edgeedge with one ZnO6 octahedra, edges with two LiO6 octahedra, and edges with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 58–69°. There are a spread of Li–O bond distances ranging from 2.10–2.20 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one ZnO6 octahedra, corners with three FeO6 octahedra, corners with two PO4 tetrahedra, an edgeedge with one FeO6 octahedra, an edgeedge with one ZnO6 octahedra, edges with two LiO6 octahedra, and edges with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 57–68°. There are a spread of Li–O bond distances ranging from 2.10–2.20 Å. In the ninth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one ZnO6 octahedra, corners with three FeO6 octahedra, corners with two PO4 tetrahedra, an edgeedge with one FeO6 octahedra, an edgeedge with one ZnO6 octahedra, edges with two LiO6 octahedra, and edges with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 58–68°. There are a spread of Li–O bond distances ranging from 2.09–2.20 Å. In the tenth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two FeO6 octahedra, corners with two ZnO6 octahedra, corners with two PO4 tetrahedra, edges with two LiO6 octahedra, edges with two FeO6 octahedra, and edges with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 57–68°. There are a spread of Li–O bond distances ranging from 2.10–2.19 Å. In the eleventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two FeO6 octahedra, corners with two ZnO6 octahedra, corners with two PO4 tetrahedra, edges with two LiO6 octahedra, edges with two FeO6 octahedra, and edges with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 57–68°. There are a spread of Li–O bond distances ranging from 2.10–2.19 Å. In the twelfth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two FeO6 octahedra, corners with two ZnO6 octahedra, corners with two PO4 tetrahedra, an edgeedge with one FeO6 octahedra, an edgeedge with one ZnO6 octahedra, edges with two LiO6 octahedra, and edges with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 57–68°. There are a spread of Li–O bond distances ranging from 2.09–2.20 Å. There are eight inequivalent Fe2+ sites. In the first Fe2+ site, Fe2+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with four LiO6 octahedra, corners with four FeO6 octahedra, corners with four PO4 tetrahedra, edges with two LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–68°. There are a spread of Fe–O bond distances ranging from 2.09–2.27 Å. In the second Fe2+ site, Fe2+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with four LiO6 octahedra, corners with four FeO6 octahedra, corners with four PO4 tetrahedra, edges with two LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–69°. There are a spread of Fe–O bond distances ranging from 2.10–2.27 Å. In the third Fe2+ site, Fe2+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two FeO6 octahedra, corners with two equivalent ZnO6 octahedra, corners with four LiO6 octahedra, corners with four PO4 tetrahedra, edges with two LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 52–68°. There are a spread of Fe–O bond distances ranging from 2.10–2.27 Å. In the fourth Fe2+ site, Fe2+ is bonded to six O2- atoms to form FeO6 octahedra that share a cornercorner with one ZnO6 octahedra, corners with three FeO6 octahedra, corners with four LiO6 octahedra, corners with four PO4 tetrahedra, edges with two LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–68°. There are a spread of Fe–O bond distances ranging from 2.09–2.27 Å. In the fifth Fe2+ site, Fe2+ is bonded to six O2- atoms to form FeO6 octahedra that share a cornercorner with one ZnO6 octahedra, corners with three FeO6 octahedra, corners with four LiO6 octahedra, corners with four PO4 tetrahedra, edges with two LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 52–68°. There are a spread of Fe–O bond distances ranging from 2.09–2.27 Å. In the sixth Fe2+ site, Fe2+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with four LiO6 octahedra, corners with four ZnO6 octahedra, corners with four PO4 tetrahedra, edges with two LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 52–68°. There are a spread of Fe–O bond distances ranging from 2.09–2.26 Å. In the seventh Fe2+ site, Fe2+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with four LiO6 octahedra, corners with four ZnO6 octahedra, corners with four PO4 tetrahedra, edges with two LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 52–68°. There are a spread of Fe–O bond distances ranging from 2.10–2.27 Å. In the eighth Fe2+ site, Fe2+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with four LiO6 octahedra, corners with four ZnO6 octahedra, corners with four PO4 tetrahedra, edges with two LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 52–68°. There are a spread of Fe–O bond distances ranging from 2.09–2.27 Å. There are four inequivalent Zn2+ sites. In the first Zn2+ site, Zn2+ is bonded to six O2- atoms to form ZnO6 octahedra that share corners with four LiO6 octahedra, corners with four FeO6 octahedra, corners with four PO4 tetrahedra, edges with two LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 52–68°. There are a spread of Zn–O bond distances ranging from 2.09–2.25 Å. In the second Zn2+ site, Zn2+ is bonded to six O2- atoms to form ZnO6 octahedra that share corners with four LiO6 octahedra, corners with four FeO6 octahedra, corners with four PO4 tetrahedra, edges with two LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 52–68°. There are a spread of Zn–O bond distances ranging from 2.09–2.26 Å. In the third Zn2+ site, Zn2+ is bonded to six O2- atoms to form ZnO6 octahedra that share corners with four LiO6 octahedra, corners with four FeO6 octahedra, corners with four PO4 tetrahedra, edges with two LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 52–68°. There are a spread of Zn–O bond distances ranging from 2.09–2.26 Å. In the fourth Zn2+ site, Zn2+ is bonded to six O2- atoms to form ZnO6 octahedra that share corners with four LiO6 octahedra, corners with four FeO6 octahedra, corners with four PO4 tetrahedra, edges with two LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 52–68°. There are a spread of Zn–O bond distances ranging from 2.08–2.26 Å. There are twelve inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one ZnO6 octahedra, corners with two LiO6 octahedra, corners with three FeO6 octahedra, an edgeedge with one ZnO6 octahedra, and edges with two LiO6 octahedra. The corner-sharing octahedra tilt angles range from 51–58°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two LiO6 octahedra, corners with two FeO6 octahedra, corners with two ZnO6 octahedra, an edgeedge with one ZnO6 octahedra, and edges with two LiO6 octahedra. The corner-sharing octahedra tilt angles range from 51–58°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one ZnO6 octahedra, corners with two LiO6 octahedra, corners with three FeO6 octahedra, an edgeedge with one ZnO6 octahedra, and edges with two LiO6 octahedra. The corner-sharing octahedra tilt angles range from 51–58°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one ZnO6 octahedra, corners with two LiO6 octahedra, corners with three FeO6 octahedra, an edgeedge with one FeO6 octahedra, and edges with two LiO6 octahedra. The corner-sharing octahedra tilt angles range from 51–59°. There are a spread of P

36 MATERIALS SCIENCE↗

Materials Data on Ho2CdSe4 by Materials Project

Ho2CdSe4 is Spinel-like structured and crystallizes in the trigonal R3m space group. The structure is three-dimensional. there are ten inequivalent Ho3+ sites. In the first Ho3+ site, Ho3+ is bonded to four Se2- atoms to form HoSe4 tetrahedra that share corners with three equivalent CdSe6 octahedra and corners with nine HoSe6 octahedra. The corner-sharing octahedral tilt angles are 58°. There are three shorter (2.71 Å) and one longer (2.73 Å) Ho–Se bond lengths. In the second Ho3+ site, Ho3+ is bonded to six Se2- atoms to form HoSe6 octahedra that share corners with three HoSe4 tetrahedra, corners with three CdSe4 tetrahedra, edges with two CdSe6 octahedra, and edges with four equivalent HoSe6 octahedra. There are a spread of Ho–Se bond distances ranging from 2.84–2.89 Å. In the third Ho3+ site, Ho3+ is bonded to four Se2- atoms to form HoSe4 tetrahedra that share corners with three equivalent CdSe6 octahedra and corners with nine HoSe6 octahedra. The corner-sharing octahedra tilt angles range from 58–59°. There are three shorter (2.72 Å) and one longer (2.74 Å) Ho–Se bond lengths. In the fourth Ho3+ site, Ho3+ is bonded to six Se2- atoms to form HoSe6 octahedra that share corners with three HoSe4 tetrahedra, corners with three CdSe4 tetrahedra, edges with two CdSe6 octahedra, and edges with four equivalent HoSe6 octahedra. There are a spread of Ho–Se bond distances ranging from 2.84–2.90 Å. In the fifth Ho3+ site, Ho3+ is bonded to four Se2- atoms to form HoSe4 tetrahedra that share corners with three equivalent CdSe6 octahedra and corners with nine HoSe6 octahedra. The corner-sharing octahedra tilt angles range from 58–59°. There are three shorter (2.72 Å) and one longer (2.74 Å) Ho–Se bond lengths. In the sixth Ho3+ site, Ho3+ is bonded to six Se2- atoms to form HoSe6 octahedra that share a cornercorner with one HoSe4 tetrahedra, corners with five CdSe4 tetrahedra, an edgeedge with one CdSe6 octahedra, and edges with five HoSe6 octahedra. There are a spread of Ho–Se bond distances ranging from 2.84–2.89 Å. In the seventh Ho3+ site, Ho3+ is bonded to six Se2- atoms to form HoSe6 octahedra that share corners with six CdSe4 tetrahedra and edges with six HoSe6 octahedra. There are three shorter (2.86 Å) and three longer (2.87 Å) Ho–Se bond lengths. In the eighth Ho3+ site, Ho3+ is bonded to six Se2- atoms to form HoSe6 octahedra that share corners with six CdSe4 tetrahedra and edges with six HoSe6 octahedra. There are three shorter (2.86 Å) and three longer (2.87 Å) Ho–Se bond lengths. In the ninth Ho3+ site, Ho3+ is bonded to six Se2- atoms to form HoSe6 octahedra that share corners with two equivalent HoSe4 tetrahedra, corners with four CdSe4 tetrahedra, an edgeedge with one CdSe6 octahedra, and edges with five HoSe6 octahedra. There are four shorter (2.86 Å) and two longer (2.87 Å) Ho–Se bond lengths. In the tenth Ho3+ site, Ho3+ is bonded to six Se2- atoms to form HoSe6 octahedra that share corners with six CdSe4 tetrahedra and edges with six HoSe6 octahedra. There are three shorter (2.85 Å) and three longer (2.87 Å) Ho–Se bond lengths. There are ten inequivalent Cd2+ sites. In the first Cd2+ site, Cd2+ is bonded to four Se2- atoms to form CdSe4 tetrahedra that share corners with three equivalent CdSe6 octahedra and corners with nine HoSe6 octahedra. The corner-sharing octahedra tilt angles range from 55–57°. There are three shorter (2.68 Å) and one longer (2.74 Å) Cd–Se bond lengths. In the second Cd2+ site, Cd2+ is bonded to four Se2- atoms to form CdSe4 tetrahedra that share corners with three equivalent CdSe6 octahedra and corners with nine HoSe6 octahedra. The corner-sharing octahedra tilt angles range from 55–57°. There are three shorter (2.68 Å) and one longer (2.73 Å) Cd–Se bond lengths. In the third Cd2+ site, Cd2+ is bonded to six Se2- atoms to form CdSe6 octahedra that share corners with three equivalent HoSe4 tetrahedra, corners with three equivalent CdSe4 tetrahedra, and edges with six HoSe6 octahedra. There are three shorter (2.83 Å) and three longer (2.91 Å) Cd–Se bond lengths. In the fourth Cd2+ site, Cd2+ is bonded to four Se2- atoms to form CdSe4 tetrahedra that share corners with three equivalent CdSe6 octahedra and corners with nine HoSe6 octahedra. The corner-sharing octahedra tilt angles range from 55–57°. There are three shorter (2.69 Å) and one longer (2.74 Å) Cd–Se bond lengths. In the fifth Cd2+ site, Cd2+ is bonded to six Se2- atoms to form CdSe6 octahedra that share corners with three equivalent HoSe4 tetrahedra, corners with three equivalent CdSe4 tetrahedra, and edges with six HoSe6 octahedra. There are three shorter (2.84 Å) and three longer (2.90 Å) Cd–Se bond lengths. In the sixth Cd2+ site, Cd2+ is bonded to four Se2- atoms to form CdSe4 tetrahedra that share corners with twelve HoSe6 octahedra. The corner-sharing octahedral tilt angles are 57°. There are one shorter (2.69 Å) and three longer (2.71 Å) Cd–Se bond lengths. In the seventh Cd2+ site, Cd2+ is bonded to six Se2- atoms to form CdSe6 octahedra that share corners with three equivalent HoSe4 tetrahedra, corners with three equivalent CdSe4 tetrahedra, and edges with six HoSe6 octahedra. There are three shorter (2.83 Å) and three longer (2.90 Å) Cd–Se bond lengths. In the eighth Cd2+ site, Cd2+ is bonded to four Se2- atoms to form CdSe4 tetrahedra that share corners with twelve HoSe6 octahedra. The corner-sharing octahedra tilt angles range from 57–58°. All Cd–Se bond lengths are 2.71 Å. In the ninth Cd2+ site, Cd2+ is bonded to four Se2- atoms to form CdSe4 tetrahedra that share corners with twelve HoSe6 octahedra. The corner-sharing octahedra tilt angles range from 57–58°. There are one shorter (2.70 Å) and three longer (2.71 Å) Cd–Se bond lengths. In the tenth Cd2+ site, Cd2+ is bonded to four Se2- atoms to form CdSe4 tetrahedra that share corners with twelve HoSe6 octahedra. The corner-sharing octahedral tilt angles are 57°. There are one shorter (2.68 Å) and three longer (2.71 Å) Cd–Se bond lengths. There are twenty inequivalent Se2- sites. In the first Se2- site, Se2- is bonded in a rectangular see-saw-like geometry to two equivalent Ho3+ and two Cd2+ atoms. In the second Se2- site, Se2- is bonded in a distorted rectangular see-saw-like geometry to three equivalent Ho3+ and one Cd2+ atom. In the third Se2- site, Se2- is bonded to three Ho3+ and one Cd2+ atom to form a mixture of distorted edge and corner-sharing SeHo3Cd trigonal pyramids. In the fourth Se2- site, Se2- is bonded in a distorted rectangular see-saw-like geometry to two equivalent Ho3+ and two Cd2+ atoms. In the fifth Se2- site, Se2- is bonded to four Ho3+ atoms to form a mixture of distorted edge and corner-sharing SeHo4 trigonal pyramids. In the sixth Se2- site, Se2- is bonded in a distorted rectangular see-saw-like geometry to three equivalent Ho3+ and one Cd2+ atom. In the seventh Se2- site, Se2- is bonded in a distorted rectangular see-saw-like geometry to two equivalent Ho3+ and two Cd2+ atoms. In the eighth Se2- site, Se2- is bonded to three Ho3+ and one Cd2+ atom to form distorted SeHo3Cd trigonal pyramids that share corners with three SeHo3Cd trigonal pyramids and edges with three SeHo4 trigonal pyramids. In the ninth Se2- site, Se2- is bonded to four Ho3+ atoms to form a mixture of distorted edge and corner-sharing SeHo4 trigonal pyramids. In the tenth Se2- site, Se2- is bonded in a distorted rectangular see-saw-like geometry to three equivalent Ho3+ and one Cd2+ atom. In the eleventh Se2- site, Se2- is bonded to three Ho3+ and one Cd2+ atom to form distorted SeHo3Cd trigonal pyramids that share corners with three SeHo3Cd trigonal pyramids and edges with three SeHo4 trigonal pyramids. In the twelfth Se2- site, Se2- is bonded in a distorted rectangular see-saw-like geometry to three Ho3+ and one Cd2+ atom. In the thirteenth Se2- site, Se2- is bonded to four Ho3+ atoms to form a mixture of distorted edge and corner-sharing SeHo4 trigonal pyramids. In the fourteenth Se2- site, Se2- is bonded in a distorted rectangular see-saw-like geometry to three equivalent Ho3+ and one Cd2+ atom. In the fifteenth Se2- site, Se2- is bonded in a distorted rectangular see-saw-like geometry to three Ho3+ and one Cd2+ atom. In the sixteenth Se2- site, Se2- is bonded in a distorted rectangular see-saw-like geometry to three Ho3+ and one Cd2+ atom. In the seventeenth Se2- site, Se2- is bonded to three equivalent Ho3+ and one Cd2+ atom to form distorted corner-sharing SeHo3Cd trigonal pyramids. In the eighteenth Se2- site, Se2- is bonded in a distorted rectangular see-saw-like geometry to three equivalent Ho3+ and one Cd2+ atom. In the nineteenth Se2- site, Se2- is bonded to three Ho3+ and one Cd2+ atom to form distorted SeHo3Cd trigonal pyramids that share corners with three SeHo4 trigonal pyramids and edges with three SeHo3Cd trigonal pyramids. In the twentieth Se2- site, Se2- is bonded to three equivalent Ho3+ and one Cd2+ atom to form distorted edge-sharing SeHo3Cd trigonal pyramids.

36 MATERIALS SCIENCE↗

Materials Data on Sm3Bi5O12 by Materials Project

Sm3Bi5O12 is Ilmenite-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are six inequivalent Sm3+ sites. In the first Sm3+ site, Sm3+ is bonded to six O2- atoms to form distorted SmO6 octahedra that share corners with two SmO6 octahedra, corners with four BiO6 octahedra, edges with three SmO6 octahedra, and edges with three BiO6 octahedra. The corner-sharing octahedra tilt angles range from 54–55°. There are a spread of Sm–O bond distances ranging from 2.33–2.43 Å. In the second Sm3+ site, Sm3+ is bonded to six O2- atoms to form SmO6 octahedra that share corners with six BiO6 octahedra, edges with two SmO6 octahedra, and edges with four BiO6 octahedra. The corner-sharing octahedra tilt angles range from 53–58°. There are a spread of Sm–O bond distances ranging from 2.35–2.40 Å. In the third Sm3+ site, Sm3+ is bonded to six O2- atoms to form distorted SmO6 octahedra that share corners with two SmO6 octahedra, corners with four BiO6 octahedra, edges with three SmO6 octahedra, and edges with three BiO6 octahedra. The corner-sharing octahedra tilt angles range from 53–57°. There are a spread of Sm–O bond distances ranging from 2.33–2.45 Å. In the fourth Sm3+ site, Sm3+ is bonded to six O2- atoms to form SmO6 octahedra that share a cornercorner with one SmO6 octahedra, corners with five BiO6 octahedra, an edgeedge with one SmO6 octahedra, and edges with five BiO6 octahedra. The corner-sharing octahedra tilt angles range from 54–57°. There are a spread of Sm–O bond distances ranging from 2.36–2.38 Å. In the fifth Sm3+ site, Sm3+ is bonded to six O2- atoms to form SmO6 octahedra that share corners with two SmO6 octahedra, corners with four BiO6 octahedra, and edges with six BiO6 octahedra. The corner-sharing octahedra tilt angles range from 53–55°. There are a spread of Sm–O bond distances ranging from 2.37–2.39 Å. In the sixth Sm3+ site, Sm3+ is bonded to six O2- atoms to form SmO6 octahedra that share a cornercorner with one SmO6 octahedra, corners with five BiO6 octahedra, an edgeedge with one SmO6 octahedra, and edges with five BiO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Sm–O bond distances ranging from 2.36–2.39 Å. There are ten inequivalent Bi3+ sites. In the first Bi3+ site, Bi3+ is bonded to six O2- atoms to form distorted BiO6 octahedra that share corners with two SmO6 octahedra, corners with four BiO6 octahedra, edges with three SmO6 octahedra, and edges with three BiO6 octahedra. The corner-sharing octahedra tilt angles range from 54–57°. There are a spread of Bi–O bond distances ranging from 2.33–2.54 Å. In the second Bi3+ site, Bi3+ is bonded to six O2- atoms to form distorted BiO6 octahedra that share corners with three SmO6 octahedra, corners with three BiO6 octahedra, edges with three SmO6 octahedra, and edges with three BiO6 octahedra. The corner-sharing octahedra tilt angles range from 53–57°. There are a spread of Bi–O bond distances ranging from 2.33–2.52 Å. In the third Bi3+ site, Bi3+ is bonded to six O2- atoms to form distorted BiO6 octahedra that share corners with three SmO6 octahedra, corners with three BiO6 octahedra, edges with three SmO6 octahedra, and edges with three BiO6 octahedra. The corner-sharing octahedra tilt angles range from 54–57°. There are a spread of Bi–O bond distances ranging from 2.32–2.53 Å. In the fourth Bi3+ site, Bi3+ is bonded to six O2- atoms to form distorted BiO6 octahedra that share corners with three SmO6 octahedra, corners with three BiO6 octahedra, edges with two SmO6 octahedra, and edges with four BiO6 octahedra. The corner-sharing octahedra tilt angles range from 55–56°. There are a spread of Bi–O bond distances ranging from 2.32–2.53 Å. In the fifth Bi3+ site, Bi3+ is bonded to six O2- atoms to form distorted BiO6 octahedra that share corners with two SmO6 octahedra, corners with four BiO6 octahedra, edges with three SmO6 octahedra, and edges with three BiO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Bi–O bond distances ranging from 2.31–2.54 Å. In the sixth Bi3+ site, Bi3+ is bonded to six O2- atoms to form distorted BiO6 octahedra that share corners with three SmO6 octahedra, corners with three BiO6 octahedra, edges with three SmO6 octahedra, and edges with three BiO6 octahedra. The corner-sharing octahedra tilt angles range from 54–57°. There are a spread of Bi–O bond distances ranging from 2.31–2.54 Å. In the seventh Bi3+ site, Bi3+ is bonded to six O2- atoms to form distorted BiO6 octahedra that share corners with three SmO6 octahedra, corners with three BiO6 octahedra, edges with three SmO6 octahedra, and edges with three BiO6 octahedra. The corner-sharing octahedra tilt angles range from 54–58°. There are a spread of Bi–O bond distances ranging from 2.32–2.52 Å. In the eighth Bi3+ site, Bi3+ is bonded to six O2- atoms to form distorted BiO6 octahedra that share corners with three SmO6 octahedra, corners with three BiO6 octahedra, edges with two SmO6 octahedra, and edges with four BiO6 octahedra. The corner-sharing octahedral tilt angles are 55°. There are a spread of Bi–O bond distances ranging from 2.32–2.53 Å. In the ninth Bi3+ site, Bi3+ is bonded to six O2- atoms to form distorted BiO6 octahedra that share corners with three SmO6 octahedra, corners with three BiO6 octahedra, edges with two SmO6 octahedra, and edges with four BiO6 octahedra. The corner-sharing octahedra tilt angles range from 54–55°. There are a spread of Bi–O bond distances ranging from 2.31–2.54 Å. In the tenth Bi3+ site, Bi3+ is bonded to six O2- atoms to form distorted BiO6 octahedra that share corners with three SmO6 octahedra, corners with three BiO6 octahedra, edges with two SmO6 octahedra, and edges with four BiO6 octahedra. The corner-sharing octahedra tilt angles range from 54–57°. There are a spread of Bi–O bond distances ranging from 2.33–2.52 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded to two Sm3+ and two Bi3+ atoms to form distorted OSm2Bi2 trigonal pyramids that share corners with two OSm3Bi tetrahedra, corners with ten OSm2Bi2 trigonal pyramids, an edgeedge with one OSm3Bi tetrahedra, and edges with three OSmBi3 trigonal pyramids. In the second O2- site, O2- is bonded to two Sm3+ and two Bi3+ atoms to form distorted OSm2Bi2 tetrahedra that share corners with two OSm3Bi tetrahedra, corners with ten OSmBi3 trigonal pyramids, and edges with four OSmBi3 trigonal pyramids. In the third O2- site, O2- is bonded to two Sm3+ and two Bi3+ atoms to form distorted OSm2Bi2 trigonal pyramids that share corners with two OSm3Bi tetrahedra, corners with ten OSmBi3 trigonal pyramids, an edgeedge with one OSm3Bi tetrahedra, and edges with three OSm2Bi2 trigonal pyramids. In the fourth O2- site, O2- is bonded to two Sm3+ and two Bi3+ atoms to form distorted OSm2Bi2 trigonal pyramids that share a cornercorner with one OSm3Bi tetrahedra, corners with eleven OSm2Bi2 trigonal pyramids, edges with two OSm2Bi2 tetrahedra, and edges with two OSmBi3 trigonal pyramids. In the fifth O2- site, O2- is bonded to one Sm3+ and three Bi3+ atoms to form distorted OSmBi3 trigonal pyramids that share corners with two OSm3Bi tetrahedra, corners with ten OSm2Bi2 trigonal pyramids, and edges with four OSm2Bi2 trigonal pyramids. In the sixth O2- site, O2- is bonded to one Sm3+ and three Bi3+ atoms to form distorted OSmBi3 trigonal pyramids that share a cornercorner with one OSm2Bi2 tetrahedra, corners with eleven OSm2Bi2 trigonal pyramids, and edges with four OSmBi3 trigonal pyramids. In the seventh O2- site, O2- is bonded to two Sm3+ and two Bi3+ atoms to form distorted OSm2Bi2 trigonal pyramids that share a cornercorner with one OSm3Bi tetrahedra, corners with eleven OSm2Bi2 trigonal pyramids, edges with two OSm2Bi2 tetrahedra, and edges with two OSmBi3 trigonal pyramids. In the eighth O2- site, O2- is bonded to one Sm3+ and three Bi3+ atoms to form distorted OSmBi3 trigonal pyramids that share corners with two OSm3Bi tetrahedra, corners with ten OSm2Bi2 trigonal pyramids, and edges with four OSm2Bi2 trigonal pyramids. In the ninth O2- site, O2- is bonded to one Sm3+ and three Bi3+ atoms to form distorted OSmBi3 trigonal pyramids that share a cornercorner with one OSm2Bi2 tetrahedra, corners with eleven OSm2Bi2 trigonal pyramids, and edges with four OSmBi3 trigonal pyramids. In the tenth O2- site, O2- is bonded to one Sm3+ and three Bi3+ atoms to form distorted OSmBi3 trigonal pyramids that share a cornercorner with one OSm3Bi tetrahedra, corners with eleven OSm2Bi2 trigonal pyramids, an edgeedge with one OSm2Bi2 tetrahedra, and edges with three OSm2Bi2 trigonal pyramids. In the eleventh O2- site, O2- is bonded to three Sm3+ and one Bi3+ atom to form distorted OSm3Bi tetrahedra that share a cornercorner with one OSm2Bi2 tetrahedra, corners with eleven OSm2Bi2 trigonal pyramids, an edgeedge with one OSm3Bi tetrahedra, and edges with three OSm2Bi2 trigonal pyramids. In the twelfth O2- site, O2- is bonded to one Sm3+ and three Bi3+ atoms to form a mixture of distorted edge and corner-sharing OSmBi3 trigonal pyramids. In the thirteenth O2- site, O2- is bonded to one Sm3+ and three Bi3+ atoms to form distorted OSmBi3 trigonal pyramids that share a cornercorner with one OSm2Bi2 tetrahedra, corners with eleven OSm2Bi2 trigonal pyramids, an edgeedge with one OSm3Bi tetrahedra, and edges with three OSmBi3 trigonal pyramids. In the fourteenth O2- site, O2- is bonded to two Sm3+ and two Bi3+ atoms to form distorted OSm2Bi2 trigonal pyramids that share corners with two OSm3Bi tetrahedra, corners with ten OSmBi3 trigonal pyramids, and edges with four OSm2Bi2 trigonal pyramids. In the fifteenth O2- site, O2- is bonded to one Sm3+ and three Bi3+ atoms to form distorted OSmBi3 trigonal pyramids that share corners with two OSm3Bi tetrahedra, corners with ten OSmBi3 trigonal pyramids, and edges with four OSm2Bi2 trigonal pyramids. In the sixteenth O2- site, O2- is bonded to one Sm3+ and three Bi3+ atoms to form distorted OSmBi3 trigonal pyramids that share a cornercorner with one OSm3Bi tetrahedra, corners with eleven OSm2Bi2 trigonal pyramids, and edges with four OSmBi3 trigonal pyramids. In the seventeenth O2- site, O2- is bonded to two Sm3+ and two Bi3+ atoms to form distorted OSm2Bi2 trigonal pyramids that share a cornercorner with one OSm3Bi tetrahedra, corners with eleven OSm2Bi2 trigonal pyramids, an edgeedge with one OSm3Bi tetrahedra, and edges with three OSm2Bi2 trigonal pyramids. In the eighteenth O2- site, O2- is bonded to two Sm3+ and two Bi3+ atoms to form distorted OSm2Bi2 trigonal pyramids that share corners with two OSm3Bi tetrahedra, corners with ten OSm2Bi2 trigonal pyramids, an edgeedge with one OSm2Bi2 tetrahedra, and edges with three OSm2Bi2 trigonal pyramids. In the nineteenth O2- site, O2- is bonded to one Sm3+ and three Bi3+ atoms to form distorted OSmBi3 trigonal pyramids that share corners with two OSm3Bi tetrahedra, corners with ten OSmBi3 trigonal pyramids, and edges with four OSm2Bi2 trigonal pyramids. In the twentieth O2- site, O2- is bonded to one Sm3+ and three Bi3+ atoms to form distorted OSmBi3 trigonal pyramids that share corners with two OSm3Bi tetrahedra, corners with ten OSmBi3 trigonal pyramids, and edges with four OSm2Bi2 trigonal pyramids. In the twenty-first O2- site, O2- is bonded to three Sm3+ and one Bi3+ atom to form distorted OSm3Bi tetrahedra that share a cornercorner with one OSm2Bi2 tetrahedra, corners with eleven OSm2Bi2 trigonal pyramids, an edgeedge with one OSm3Bi tetrahedra, and edges with three OSm2Bi2 trigonal pyramids. In the twenty-second O2- site, O2- is bonded to one Sm3+ and three Bi3+ atoms to form distorted OSmBi3 trigonal pyramids that share corners with two OSm3Bi tetrahedra, corners with ten OSm2Bi2 trigonal pyramids, and edges with four OSm2Bi2 trigonal pyramids. In the twenty-third O2- site,

36 MATERIALS SCIENCE↗

Materials Data on Ti19O30 by Materials Project

Ti19O30 is beta indium sulfide-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are nineteen inequivalent Ti+3.16+ sites. In the first Ti+3.16+ site, Ti+3.16+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 31–57°. There are a spread of Ti–O bond distances ranging from 1.91–2.11 Å. In the second Ti+3.16+ site, Ti+3.16+ is bonded to six O2- atoms to form a mixture of corner, edge, and face-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 31–61°. There are a spread of Ti–O bond distances ranging from 1.92–2.15 Å. In the third Ti+3.16+ site, Ti+3.16+ is bonded to six O2- atoms to form a mixture of corner, edge, and face-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–58°. There are a spread of Ti–O bond distances ranging from 2.01–2.08 Å. In the fourth Ti+3.16+ site, Ti+3.16+ is bonded to six O2- atoms to form a mixture of corner, edge, and face-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–57°. There are three shorter (2.02 Å) and three longer (2.08 Å) Ti–O bond lengths. In the fifth Ti+3.16+ site, Ti+3.16+ is bonded to six O2- atoms to form a mixture of corner, edge, and face-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–57°. There are a spread of Ti–O bond distances ranging from 2.01–2.09 Å. In the sixth Ti+3.16+ site, Ti+3.16+ is bonded to six O2- atoms to form a mixture of corner, edge, and face-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 46–58°. There are a spread of Ti–O bond distances ranging from 1.99–2.11 Å. In the seventh Ti+3.16+ site, Ti+3.16+ is bonded to six O2- atoms to form a mixture of corner, edge, and face-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 43–58°. There are a spread of Ti–O bond distances ranging from 1.99–2.09 Å. In the eighth Ti+3.16+ site, Ti+3.16+ is bonded to six O2- atoms to form a mixture of corner, edge, and face-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–61°. There are a spread of Ti–O bond distances ranging from 1.93–2.12 Å. In the ninth Ti+3.16+ site, Ti+3.16+ is bonded to six O2- atoms to form a mixture of corner, edge, and face-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 45–57°. There are a spread of Ti–O bond distances ranging from 2.01–2.09 Å. In the tenth Ti+3.16+ site, Ti+3.16+ is bonded to six O2- atoms to form a mixture of corner, edge, and face-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 30–60°. There are a spread of Ti–O bond distances ranging from 1.87–2.16 Å. In the eleventh Ti+3.16+ site, Ti+3.16+ is bonded to six O2- atoms to form a mixture of corner, edge, and face-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–57°. There are a spread of Ti–O bond distances ranging from 2.02–2.09 Å. In the twelfth Ti+3.16+ site, Ti+3.16+ is bonded to six O2- atoms to form a mixture of corner, edge, and face-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 44–58°. There are a spread of Ti–O bond distances ranging from 2.01–2.09 Å. In the thirteenth Ti+3.16+ site, Ti+3.16+ is bonded to six O2- atoms to form a mixture of corner, edge, and face-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 45–58°. There are a spread of Ti–O bond distances ranging from 2.00–2.09 Å. In the fourteenth Ti+3.16+ site, Ti+3.16+ is bonded to six O2- atoms to form a mixture of corner, edge, and face-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–57°. There are a spread of Ti–O bond distances ranging from 2.02–2.09 Å. In the fifteenth Ti+3.16+ site, Ti+3.16+ is bonded to six O2- atoms to form a mixture of corner, edge, and face-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 45–58°. There are a spread of Ti–O bond distances ranging from 2.00–2.11 Å. In the sixteenth Ti+3.16+ site, Ti+3.16+ is bonded to six O2- atoms to form a mixture of corner, edge, and face-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–57°. There are a spread of Ti–O bond distances ranging from 2.02–2.09 Å. In the seventeenth Ti+3.16+ site, Ti+3.16+ is bonded to six O2- atoms to form a mixture of corner, edge, and face-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 44–60°. There are a spread of Ti–O bond distances ranging from 2.01–2.09 Å. In the eighteenth Ti+3.16+ site, Ti+3.16+ is bonded to six O2- atoms to form a mixture of corner, edge, and face-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–60°. There are a spread of Ti–O bond distances ranging from 1.94–2.13 Å. In the nineteenth Ti+3.16+ site, Ti+3.16+ is bonded to six O2- atoms to form a mixture of corner, edge, and face-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 30–60°. There are a spread of Ti–O bond distances ranging from 1.93–2.20 Å. There are thirty inequivalent O2- sites. In the first O2- site, O2- is bonded to four Ti+3.16+ atoms to form a mixture of distorted corner and edge-sharing OTi4 trigonal pyramids. In the second O2- site, O2- is bonded in a 3-coordinate geometry to three Ti+3.16+ atoms. In the third O2- site, O2- is bonded in a T-shaped geometry to three Ti+3.16+ atoms. In the fourth O2- site, O2- is bonded to four Ti+3.16+ atoms to form a mixture of distorted corner and edge-sharing OTi4 trigonal pyramids. In the fifth O2- site, O2- is bonded to four Ti+3.16+ atoms to form a mixture of distorted corner and edge-sharing OTi4 trigonal pyramids. In the sixth O2- site, O2- is bonded to four Ti+3.16+ atoms to form a mixture of distorted corner and edge-sharing OTi4 trigonal pyramids. In the seventh O2- site, O2- is bonded to four Ti+3.16+ atoms to form a mixture of distorted corner and edge-sharing OTi4 trigonal pyramids. In the eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.16+ atoms. In the ninth O2- site, O2- is bonded to four Ti+3.16+ atoms to form a mixture of distorted corner and edge-sharing OTi4 trigonal pyramids. In the tenth O2- site, O2- is bonded to four Ti+3.16+ atoms to form a mixture of distorted corner and edge-sharing OTi4 trigonal pyramids. In the eleventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Ti+3.16+ atoms. In the twelfth O2- site, O2- is bonded to four Ti+3.16+ atoms to form a mixture of distorted corner and edge-sharing OTi4 trigonal pyramids. In the thirteenth O2- site, O2- is bonded to four Ti+3.16+ atoms to form a mixture of distorted corner and edge-sharing OTi4 trigonal pyramids. In the fourteenth O2- site, O2- is bonded to four Ti+3.16+ atoms to form a mixture of distorted corner and edge-sharing OTi4 trigonal pyramids. In the fifteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.16+ atoms. In the sixteenth O2- site, O2- is bonded to four Ti+3.16+ atoms to form a mixture of distorted corner and edge-sharing OTi4 trigonal pyramids. In the seventeenth O2- site, O2- is bonded to four Ti+3.16+ atoms to form a mixture of distorted corner and edge-sharing OTi4 trigonal pyramids. In the eighteenth O2- site, O2- is bonded in a T-shaped geometry to three Ti+3.16+ atoms. In the nineteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Ti+3.16+ atoms. In the twentieth O2- site, O2- is bonded to four Ti+3.16+ atoms to form a mixture of distorted corner and edge-sharing OTi4 trigonal pyramids. In the twenty-first O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Ti+3.16+ atoms. In the twenty-second O2- site, O2- is bonded to four Ti+3.16+ atoms to form a mixture of distorted corner and edge-sharing OTi4 trigonal pyramids. In the twenty-third O2- site, O2- is bonded in a T-shaped geometry to three Ti+3.16+ atoms. In the twenty-fourth O2- site, O2- is bonded to four Ti+3.16+ atoms to form a mixture of distorted corner and edge-sharing OTi4 trigonal pyramids. In the twenty-fifth O2- site, O2- is bonded to four Ti+3.16+ atoms to form a mixture of distorted corner and edge-sharing OTi4 trigonal pyramids. In the twenty-sixth O2- site, O2- is bonded to four Ti+3.16+ atoms to form a mixture of distorted corner and edge-sharing OTi4 trigonal pyramids. In the twenty-seventh O2- site, O2- is bonded to four Ti+3.16+ atoms to form a mixture of distorted corner and edge-sharing OTi4 trigonal pyramids. In the twenty-eighth O2- site, O2- is bonded to four Ti+3.16+ atoms to form a mixture of distorted corner and edge-sharing OTi4 trigonal pyramids. In the twenty-ninth O2- site, O2- is bonded in a 4-coordinate geometry to four Ti+3.16+ atoms. In the thirtieth O2- site, O2- is bonded to four Ti+3.16+ atoms to form a mixture of distorted corner and edge-sharing OTi4 trigonal pyramids.

36 MATERIALS SCIENCE↗

Materials Data on Li3MnFeCo(PO4)3 by Materials Project

Li3MnFeCo(PO4)3 is Ilmenite-derived structured and crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are six inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one FeO6 octahedra, corners with two CoO6 octahedra, corners with two PO4 tetrahedra, an edgeedge with one FeO6 octahedra, an edgeedge with one CoO6 octahedra, edges with two equivalent LiO6 octahedra, and edges with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 59–68°. There are a spread of Li–O bond distances ranging from 2.12–2.23 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two MnO6 octahedra, corners with two CoO6 octahedra, corners with two PO4 tetrahedra, an edgeedge with one MnO6 octahedra, an edgeedge with one FeO6 octahedra, edges with two equivalent LiO6 octahedra, and edges with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 59–68°. There are a spread of Li–O bond distances ranging from 2.12–2.26 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one FeO6 octahedra, corners with two CoO6 octahedra, corners with two PO4 tetrahedra, an edgeedge with one MnO6 octahedra, an edgeedge with one FeO6 octahedra, edges with two equivalent LiO6 octahedra, and edges with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 59–68°. There are a spread of Li–O bond distances ranging from 2.12–2.24 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one CoO6 octahedra, corners with two FeO6 octahedra, corners with two PO4 tetrahedra, an edgeedge with one FeO6 octahedra, an edgeedge with one CoO6 octahedra, edges with two equivalent LiO6 octahedra, and edges with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 59–69°. There are a spread of Li–O bond distances ranging from 2.11–2.23 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two MnO6 octahedra, corners with two FeO6 octahedra, corners with two PO4 tetrahedra, an edgeedge with one MnO6 octahedra, an edgeedge with one CoO6 octahedra, edges with two equivalent LiO6 octahedra, and edges with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 59–69°. There are a spread of Li–O bond distances ranging from 2.11–2.24 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one CoO6 octahedra, corners with two FeO6 octahedra, corners with two PO4 tetrahedra, an edgeedge with one MnO6 octahedra, an edgeedge with one CoO6 octahedra, edges with two equivalent LiO6 octahedra, and edges with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 59–69°. There are a spread of Li–O bond distances ranging from 2.12–2.25 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 four LiO6 octahedra, corners with four MnO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–68°. There are a spread of Mn–O bond distances ranging from 2.13–2.27 Å. In the second Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with two equivalent FeO6 octahedra, corners with four LiO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–68°. There are a spread of Mn–O bond distances ranging from 2.15–2.27 Å. In the third Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with four LiO6 octahedra, corners with four MnO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–68°. There are a spread of Mn–O bond distances ranging from 2.13–2.27 Å. In the fourth Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with two equivalent FeO6 octahedra, corners with four LiO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–68°. There are a spread of Mn–O bond distances ranging from 2.13–2.31 Å. There are four inequivalent Fe2+ sites. In the first Fe2+ site, Fe2+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with two equivalent FeO6 octahedra, corners with four LiO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–68°. There are a spread of Fe–O bond distances ranging from 2.11–2.25 Å. In the second Fe2+ site, Fe2+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with two equivalent FeO6 octahedra, corners with four LiO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–67°. There are a spread of Fe–O bond distances ranging from 2.13–2.24 Å. In the third Fe2+ site, Fe2+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with four LiO6 octahedra, corners with four CoO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 50–69°. There are a spread of Fe–O bond distances ranging from 2.12–2.23 Å. In the fourth Fe2+ site, Fe2+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with four LiO6 octahedra, corners with four CoO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 50–69°. There are three shorter (2.11 Å) and three longer (2.23 Å) Fe–O bond lengths. 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 four LiO6 octahedra, corners with four CoO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 51–69°. There are a spread of Co–O bond distances ranging from 2.10–2.25 Å. In the second Co2+ site, Co2+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with two equivalent CoO6 octahedra, corners with four LiO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 50–68°. There are a spread of Co–O bond distances ranging from 2.08–2.25 Å. In the third Co2+ site, Co2+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with two equivalent CoO6 octahedra, corners with four LiO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 50–68°. There are a spread of Co–O bond distances ranging from 2.10–2.22 Å. In the fourth Co2+ site, Co2+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with four LiO6 octahedra, corners with four FeO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 51–67°. There are a spread of Co–O bond distances ranging from 2.08–2.19 Å. There are twelve inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one CoO6 octahedra, corners with two equivalent LiO6 octahedra, corners with three MnO6 octahedra, an edgeedge with one FeO6 octahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 51–57°. There are a spread of P–O bond distances ranging from 1.53–1.57 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one CoO6 octahedra, corners with two equivalent LiO6 octahedra, corners with three MnO6 octahedra, an edgeedge with one MnO6 octahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 51–57°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one CoO6 octahedra, corners with two equivalent LiO6 octahedra, corners with three FeO6 octahedra, an edgeedge with one MnO6 octahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 51–58°. There are a spread of P–O bond distances ranging from 1.53–1.57 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two equivalent LiO6 octahedra, corners with two equivalent MnO6 octahedra, corners with two FeO6 octahedra, an edgeedge with one MnO6 octahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 51–57°. There are a spread of P–O bond distances ranging from 1.55–1.57 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one CoO6 octahedra, corners with two equivalent LiO6 octahedra, corners with two equivalent FeO6 octahedra, an edgeedge with one FeO6 octahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 51–57°. There are a spread of P–O bond distances ranging from 1.53–1.57 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one FeO6 octahedra, corners with two equivalent LiO6 octahedra, corners with three MnO6 octahedra, an edgeedge with one MnO6 octahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–57°. There are a spread of P–O bond distances ranging from 1.54–1.57 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, a cornercorner with one CoO6 octahedra, corners with two equivalent LiO6 octahedra, corners with two equivalent FeO6 octahedra, an edgeedge with one CoO6 octahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–57°. There are a spread of P–O bond distances ranging from 1.54–1.58 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one CoO6 octahedra, corners with two equivalent LiO6 octahedra, corners with two equivalent FeO6 octahedra, an edgeedge with one CoO6 octahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–57°. There are a

36 MATERIALS SCIENCE↗

Materials Data on Zr2N2O by Materials Project

Zr2ON2 is Ilmenite-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are sixteen inequivalent Zr4+ sites. In the first Zr4+ site, Zr4+ is bonded to four N3- and two O2- atoms to form ZrN4O2 octahedra that share corners with six ZrN4O2 octahedra and edges with six ZrN3O3 octahedra. The corner-sharing octahedra tilt angles range from 53–56°. There are a spread of Zr–N bond distances ranging from 2.12–2.22 Å. There are one shorter (2.29 Å) and one longer (2.30 Å) Zr–O bond lengths. In the second Zr4+ site, Zr4+ is bonded to three N3- and three O2- atoms to form distorted ZrN3O3 octahedra that share corners with six ZrN3O3 octahedra and edges with six ZrN4O2 octahedra. The corner-sharing octahedra tilt angles range from 51–54°. There are a spread of Zr–N bond distances ranging from 2.11–2.18 Å. There are a spread of Zr–O bond distances ranging from 2.19–2.33 Å. In the third Zr4+ site, Zr4+ is bonded to four N3- and two O2- atoms to form distorted ZrN4O2 octahedra that share corners with six ZrN4O2 octahedra and edges with six ZrN3O3 octahedra. The corner-sharing octahedra tilt angles range from 50–56°. There are a spread of Zr–N bond distances ranging from 2.18–2.24 Å. There are one shorter (2.19 Å) and one longer (2.25 Å) Zr–O bond lengths. In the fourth Zr4+ site, Zr4+ is bonded to four N3- and two O2- atoms to form distorted ZrN4O2 octahedra that share corners with six ZrN3O3 octahedra and edges with six ZrN4O2 octahedra. The corner-sharing octahedra tilt angles range from 50–57°. There are a spread of Zr–N bond distances ranging from 2.13–2.29 Å. There are one shorter (2.24 Å) and one longer (2.27 Å) Zr–O bond lengths. In the fifth Zr4+ site, Zr4+ is bonded to three N3- and three O2- atoms to form a mixture of distorted corner and edge-sharing ZrN3O3 octahedra. The corner-sharing octahedra tilt angles range from 51–57°. There are a spread of Zr–N bond distances ranging from 2.10–2.24 Å. There are a spread of Zr–O bond distances ranging from 2.15–2.27 Å. In the sixth Zr4+ site, Zr4+ is bonded to three N3- and three O2- atoms to form a mixture of distorted corner and edge-sharing ZrN3O3 octahedra. The corner-sharing octahedra tilt angles range from 51–57°. There are a spread of Zr–N bond distances ranging from 2.12–2.21 Å. There are a spread of Zr–O bond distances ranging from 2.17–2.26 Å. In the seventh Zr4+ site, Zr4+ is bonded to four N3- and two O2- atoms to form ZrN4O2 octahedra that share corners with six ZrN4O2 octahedra and edges with six ZrN3O3 octahedra. The corner-sharing octahedra tilt angles range from 54–58°. There are a spread of Zr–N bond distances ranging from 2.13–2.23 Å. There are one shorter (2.29 Å) and one longer (2.30 Å) Zr–O bond lengths. In the eighth Zr4+ site, Zr4+ is bonded to three N3- and three O2- atoms to form ZrN3O3 octahedra that share corners with six ZrN3O3 octahedra and edges with six ZrN4O2 octahedra. The corner-sharing octahedra tilt angles range from 53–55°. There are one shorter (2.13 Å) and two longer (2.18 Å) Zr–N bond lengths. There are a spread of Zr–O bond distances ranging from 2.17–2.26 Å. In the ninth Zr4+ site, Zr4+ is bonded to four N3- and two O2- atoms to form a mixture of distorted corner and edge-sharing ZrN4O2 octahedra. The corner-sharing octahedra tilt angles range from 51–58°. There are a spread of Zr–N bond distances ranging from 2.13–2.29 Å. Both Zr–O bond lengths are 2.25 Å. In the tenth Zr4+ site, Zr4+ is bonded to five N3- and one O2- atom to form ZrN5O octahedra that share corners with six ZrN3O3 octahedra and edges with six ZrN4O2 octahedra. The corner-sharing octahedra tilt angles range from 52–57°. There are a spread of Zr–N bond distances ranging from 2.14–2.27 Å. The Zr–O bond length is 2.31 Å. In the eleventh Zr4+ site, Zr4+ is bonded to five N3- and one O2- atom to form distorted ZrN5O octahedra that share corners with six ZrN4O2 octahedra and edges with six ZrN3O3 octahedra. The corner-sharing octahedra tilt angles range from 52–57°. There are a spread of Zr–N bond distances ranging from 2.14–2.26 Å. The Zr–O bond length is 2.31 Å. In the twelfth Zr4+ site, Zr4+ is bonded to four N3- and two O2- atoms to form distorted ZrN4O2 octahedra that share corners with six ZrN4O2 octahedra and edges with six ZrN3O3 octahedra. The corner-sharing octahedra tilt angles range from 50–56°. There are a spread of Zr–N bond distances ranging from 2.11–2.24 Å. There are one shorter (2.20 Å) and one longer (2.35 Å) Zr–O bond lengths. In the thirteenth Zr4+ site, Zr4+ is bonded to six N3- atoms to form distorted ZrN6 octahedra that share corners with six ZrN3O3 octahedra and edges with six ZrN4O2 octahedra. The corner-sharing octahedra tilt angles range from 52–58°. There are a spread of Zr–N bond distances ranging from 2.18–2.31 Å. In the fourteenth Zr4+ site, Zr4+ is bonded to four N3- and two O2- atoms to form distorted ZrN4O2 octahedra that share corners with six ZrN4O2 octahedra and edges with six ZrN3O3 octahedra. The corner-sharing octahedra tilt angles range from 51–54°. There are a spread of Zr–N bond distances ranging from 2.16–2.24 Å. There are one shorter (2.18 Å) and one longer (2.24 Å) Zr–O bond lengths. In the fifteenth Zr4+ site, Zr4+ is bonded to four N3- and two O2- atoms to form distorted ZrN4O2 octahedra that share corners with six ZrN3O3 octahedra and edges with six ZrN4O2 octahedra. The corner-sharing octahedra tilt angles range from 52–57°. There are a spread of Zr–N bond distances ranging from 2.17–2.24 Å. There are one shorter (2.18 Å) and one longer (2.22 Å) Zr–O bond lengths. In the sixteenth Zr4+ site, Zr4+ is bonded to four N3- and two O2- atoms to form a mixture of distorted corner and edge-sharing ZrN4O2 octahedra. The corner-sharing octahedra tilt angles range from 50–57°. There are a spread of Zr–N bond distances ranging from 2.12–2.28 Å. There are one shorter (2.27 Å) and one longer (2.30 Å) Zr–O bond lengths. There are sixteen inequivalent N3- sites. In the first N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share a cornercorner with one OZr4 tetrahedra, corners with four OZr4 trigonal pyramids, corners with seven NZr4 trigonal pyramids, edges with two NZr4 trigonal pyramids, and edges with two OZr4 trigonal pyramids. In the second N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share a cornercorner with one OZr4 tetrahedra, corners with two NZr4 tetrahedra, corners with three OZr4 trigonal pyramids, corners with six NZr4 trigonal pyramids, an edgeedge with one OZr4 tetrahedra, an edgeedge with one NZr4 trigonal pyramid, and edges with two OZr4 trigonal pyramids. In the third N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share a cornercorner with one OZr4 tetrahedra, corners with four OZr4 trigonal pyramids, corners with seven NZr4 trigonal pyramids, an edgeedge with one OZr4 tetrahedra, and edges with three NZr4 trigonal pyramids. In the fourth N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share a cornercorner with one OZr4 tetrahedra, corners with three OZr4 trigonal pyramids, corners with eight NZr4 trigonal pyramids, an edgeedge with one OZr4 tetrahedra, an edgeedge with one OZr4 trigonal pyramid, and edges with two NZr4 trigonal pyramids. In the fifth N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share a cornercorner with one OZr4 tetrahedra, corners with three OZr4 trigonal pyramids, corners with eight NZr4 trigonal pyramids, an edgeedge with one NZr4 tetrahedra, an edgeedge with one NZr4 trigonal pyramid, and edges with two OZr4 trigonal pyramids. In the sixth N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share a cornercorner with one OZr4 tetrahedra, corners with two NZr4 tetrahedra, corners with three OZr4 trigonal pyramids, corners with six NZr4 trigonal pyramids, edges with two NZr4 trigonal pyramids, and edges with two OZr4 trigonal pyramids. In the seventh N3- site, N3- is bonded to four Zr4+ atoms to form NZr4 trigonal pyramids that share a cornercorner with one NZr4 tetrahedra, corners with two OZr4 tetrahedra, corners with three OZr4 trigonal pyramids, corners with six NZr4 trigonal pyramids, and edges with four NZr4 trigonal pyramids. In the eighth N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share a cornercorner with one NZr4 tetrahedra, corners with two OZr4 tetrahedra, corners with three OZr4 trigonal pyramids, corners with six NZr4 trigonal pyramids, edges with two NZr4 trigonal pyramids, and edges with two OZr4 trigonal pyramids. In the ninth N3- site, N3- is bonded to four Zr4+ atoms to form NZr4 trigonal pyramids that share a cornercorner with one OZr4 tetrahedra, corners with two NZr4 tetrahedra, corners with three OZr4 trigonal pyramids, corners with six NZr4 trigonal pyramids, and edges with four NZr4 trigonal pyramids. In the tenth N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share a cornercorner with one NZr4 tetrahedra, corners with two OZr4 tetrahedra, corners with two OZr4 trigonal pyramids, corners with seven NZr4 trigonal pyramids, an edgeedge with one NZr4 tetrahedra, an edgeedge with one OZr4 trigonal pyramid, and edges with two NZr4 trigonal pyramids. In the eleventh N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share a cornercorner with one OZr4 tetrahedra, corners with two NZr4 tetrahedra, corners with two OZr4 trigonal pyramids, corners with seven NZr4 trigonal pyramids, an edgeedge with one OZr4 tetrahedra, an edgeedge with one NZr4 trigonal pyramid, and edges with two OZr4 trigonal pyramids. In the twelfth N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share a cornercorner with one NZr4 tetrahedra, corners with four OZr4 trigonal pyramids, corners with seven NZr4 trigonal pyramids, an edgeedge with one OZr4 trigonal pyramid, and edges with three NZr4 trigonal pyramids. In the thirteenth N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share a cornercorner with one NZr4 tetrahedra, corners with three OZr4 trigonal pyramids, corners with eight NZr4 trigonal pyramids, edges with two NZr4 trigonal pyramids, and edges with two OZr4 trigonal pyramids. In the fourteenth N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 tetrahedra that share a cornercorner with one OZr4 tetrahedra, corners with three OZr4 trigonal pyramids, corners with eight NZr4 trigonal pyramids, an edgeedge with one NZr4 tetrahedra, an edgeedge with one OZr4 tetrahedra, an edgeedge with one NZr4 trigonal pyramid, and an edgeedge with one OZr4 trigonal pyramid. In the fifteenth N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 tetrahedra that share a cornercorner with one OZr4 tetrahedra, corners with four OZr4 trigonal pyramids, corners with seven NZr4 trigonal pyramids, an edgeedge with one NZr4 tetrahedra, an edgeedge with one OZr4 tetrahedra, an edgeedge with one NZr4 trigonal pyramid, and an edgeedge with one OZr4 trigonal pyramid. In the sixteenth N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share a cornercorner with one OZr4 tetrahedra, corners with two NZr4 tetrahedra, corners with two OZr4 trigonal pyramids, corners with seven NZr4 trigonal pyramids, an edgeedge with one OZr4 trigonal pyramid, and edges with three NZr4 trigonal pyramids. There are eight inequivalent O2- sites. In the first O2- site, O2- is bonded to four Zr4+ atoms to form distorted OZr4 trigonal pyramids that share a cornercorner with one OZr4 tetrahedra, corners with two NZr4 tetrahedra, corners with two OZr4 trigonal pyramids, corners with seven NZr4 trigonal pyramids, an edg

36 MATERIALS SCIENCE↗

Materials Data on Zr2N2O by Materials Project

Zr2ON2 is Ilmenite-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are sixteen inequivalent Zr4+ sites. In the first Zr4+ site, Zr4+ is bonded to four N3- and two O2- atoms to form ZrN4O2 octahedra that share corners with six ZrN4O2 octahedra and edges with six ZrN3O3 octahedra. The corner-sharing octahedra tilt angles range from 54–59°. There are a spread of Zr–N bond distances ranging from 2.12–2.24 Å. There are one shorter (2.27 Å) and one longer (2.32 Å) Zr–O bond lengths. In the second Zr4+ site, Zr4+ is bonded to three N3- and three O2- atoms to form distorted ZrN3O3 octahedra that share corners with six ZrN3O3 octahedra and edges with six ZrN4O2 octahedra. The corner-sharing octahedra tilt angles range from 51–54°. There are a spread of Zr–N bond distances ranging from 2.13–2.23 Å. There are one shorter (2.17 Å) and two longer (2.22 Å) Zr–O bond lengths. In the third Zr4+ site, Zr4+ is bonded to three N3- and three O2- atoms to form a mixture of distorted edge and corner-sharing ZrN3O3 octahedra. The corner-sharing octahedra tilt angles range from 52–56°. There are a spread of Zr–N bond distances ranging from 2.10–2.20 Å. There are a spread of Zr–O bond distances ranging from 2.18–2.33 Å. In the fourth Zr4+ site, Zr4+ is bonded to four N3- and two O2- atoms to form distorted ZrN4O2 octahedra that share corners with six ZrN4O2 octahedra and edges with six ZrN3O3 octahedra. The corner-sharing octahedra tilt angles range from 53–59°. There are a spread of Zr–N bond distances ranging from 2.18–2.28 Å. There are one shorter (2.18 Å) and one longer (2.20 Å) Zr–O bond lengths. In the fifth Zr4+ site, Zr4+ is bonded to four N3- and two O2- atoms to form distorted ZrN4O2 octahedra that share corners with six ZrN3O3 octahedra and edges with six ZrN4O2 octahedra. The corner-sharing octahedra tilt angles range from 52–57°. There are a spread of Zr–N bond distances ranging from 2.13–2.21 Å. There are one shorter (2.27 Å) and one longer (2.31 Å) Zr–O bond lengths. In the sixth Zr4+ site, Zr4+ is bonded to three N3- and three O2- atoms to form distorted ZrN3O3 octahedra that share corners with six ZrN4O2 octahedra and edges with six ZrN3O3 octahedra. The corner-sharing octahedra tilt angles range from 51–55°. There are a spread of Zr–N bond distances ranging from 2.14–2.25 Å. There are a spread of Zr–O bond distances ranging from 2.16–2.25 Å. In the seventh Zr4+ site, Zr4+ is bonded to four N3- and two O2- atoms to form distorted ZrN4O2 octahedra that share corners with six ZrN4O2 octahedra and edges with six ZrN3O3 octahedra. The corner-sharing octahedra tilt angles range from 50–55°. There are a spread of Zr–N bond distances ranging from 2.12–2.26 Å. There are one shorter (2.20 Å) and one longer (2.26 Å) Zr–O bond lengths. In the eighth Zr4+ site, Zr4+ is bonded to four N3- and two O2- atoms to form a mixture of edge and corner-sharing ZrN4O2 octahedra. The corner-sharing octahedra tilt angles range from 52–57°. There are a spread of Zr–N bond distances ranging from 2.13–2.23 Å. There are one shorter (2.29 Å) and one longer (2.30 Å) Zr–O bond lengths. In the ninth Zr4+ site, Zr4+ is bonded to four N3- and two O2- atoms to form ZrN4O2 octahedra that share corners with six ZrN3O3 octahedra and edges with six ZrN4O2 octahedra. The corner-sharing octahedra tilt angles range from 52–57°. There are a spread of Zr–N bond distances ranging from 2.17–2.24 Å. There are one shorter (2.18 Å) and one longer (2.22 Å) Zr–O bond lengths. In the tenth Zr4+ site, Zr4+ is bonded to four N3- and two O2- atoms to form a mixture of edge and corner-sharing ZrN4O2 octahedra. The corner-sharing octahedra tilt angles range from 52–58°. There are a spread of Zr–N bond distances ranging from 2.13–2.23 Å. There are one shorter (2.27 Å) and one longer (2.30 Å) Zr–O bond lengths. In the eleventh Zr4+ site, Zr4+ is bonded to four N3- and two O2- atoms to form distorted ZrN4O2 octahedra that share corners with six ZrN4O2 octahedra and edges with six ZrN3O3 octahedra. The corner-sharing octahedra tilt angles range from 52–57°. There are a spread of Zr–N bond distances ranging from 2.12–2.22 Å. There are one shorter (2.26 Å) and one longer (2.32 Å) Zr–O bond lengths. In the twelfth Zr4+ site, Zr4+ is bonded to four N3- and two O2- atoms to form distorted ZrN4O2 octahedra that share corners with six ZrN3O3 octahedra and edges with six ZrN4O2 octahedra. The corner-sharing octahedra tilt angles range from 50–57°. There are a spread of Zr–N bond distances ranging from 2.17–2.30 Å. There are one shorter (2.15 Å) and one longer (2.27 Å) Zr–O bond lengths. In the thirteenth Zr4+ site, Zr4+ is bonded to five N3- and one O2- atom to form distorted ZrN5O octahedra that share corners with six ZrN4O2 octahedra and edges with six ZrN3O3 octahedra. The corner-sharing octahedra tilt angles range from 52–57°. There are a spread of Zr–N bond distances ranging from 2.16–2.28 Å. The Zr–O bond length is 2.27 Å. In the fourteenth Zr4+ site, Zr4+ is bonded to four N3- and two O2- atoms to form a mixture of distorted edge and corner-sharing ZrN4O2 octahedra. The corner-sharing octahedra tilt angles range from 50–55°. There are a spread of Zr–N bond distances ranging from 2.14–2.25 Å. There are one shorter (2.25 Å) and one longer (2.27 Å) Zr–O bond lengths. In the fifteenth Zr4+ site, Zr4+ is bonded to five N3- and one O2- atom to form distorted ZrN5O octahedra that share corners with six ZrN3O3 octahedra and edges with six ZrN4O2 octahedra. The corner-sharing octahedra tilt angles range from 50–57°. There are a spread of Zr–N bond distances ranging from 2.16–2.25 Å. The Zr–O bond length is 2.26 Å. In the sixteenth Zr4+ site, Zr4+ is bonded to five N3- and one O2- atom to form distorted ZrN5O octahedra that share corners with six ZrN3O3 octahedra and edges with six ZrN4O2 octahedra. The corner-sharing octahedra tilt angles range from 52–58°. There are a spread of Zr–N bond distances ranging from 2.18–2.32 Å. The Zr–O bond length is 2.24 Å. There are sixteen inequivalent N3- sites. In the first N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share a cornercorner with one NZr4 tetrahedra, corners with five OZr4 trigonal pyramids, corners with six NZr4 trigonal pyramids, an edgeedge with one NZr4 tetrahedra, an edgeedge with one NZr4 trigonal pyramid, and edges with two OZr4 trigonal pyramids. In the second N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share a cornercorner with one NZr4 tetrahedra, corners with five OZr4 trigonal pyramids, corners with six NZr4 trigonal pyramids, an edgeedge with one OZr4 trigonal pyramid, and edges with three NZr4 trigonal pyramids. In the third N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share a cornercorner with one OZr4 tetrahedra, corners with two NZr4 tetrahedra, corners with two OZr4 trigonal pyramids, corners with seven NZr4 trigonal pyramids, an edgeedge with one NZr4 trigonal pyramid, and edges with three OZr4 trigonal pyramids. In the fourth N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share a cornercorner with one NZr4 tetrahedra, corners with three OZr4 trigonal pyramids, corners with eight NZr4 trigonal pyramids, an edgeedge with one OZr4 tetrahedra, an edgeedge with one NZr4 trigonal pyramid, and edges with two OZr4 trigonal pyramids. In the fifth N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share a cornercorner with one NZr4 tetrahedra, a cornercorner with one OZr4 tetrahedra, corners with two OZr4 trigonal pyramids, corners with eight NZr4 trigonal pyramids, an edgeedge with one NZr4 trigonal pyramid, and edges with three OZr4 trigonal pyramids. In the sixth N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share corners with five OZr4 trigonal pyramids, corners with seven NZr4 trigonal pyramids, an edgeedge with one OZr4 tetrahedra, edges with two NZr4 tetrahedra, and an edgeedge with one NZr4 trigonal pyramid. In the seventh N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share a cornercorner with one NZr4 tetrahedra, corners with five OZr4 trigonal pyramids, corners with six NZr4 trigonal pyramids, an edgeedge with one NZr4 tetrahedra, an edgeedge with one OZr4 tetrahedra, and edges with two NZr4 trigonal pyramids. In the eighth N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share a cornercorner with one NZr4 tetrahedra, a cornercorner with one OZr4 tetrahedra, corners with four OZr4 trigonal pyramids, corners with six NZr4 trigonal pyramids, edges with two NZr4 trigonal pyramids, and edges with two OZr4 trigonal pyramids. In the ninth N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share corners with two NZr4 tetrahedra, corners with three OZr4 trigonal pyramids, corners with seven NZr4 trigonal pyramids, edges with two NZr4 trigonal pyramids, and edges with two OZr4 trigonal pyramids. In the tenth N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share a cornercorner with one NZr4 tetrahedra, a cornercorner with one OZr4 tetrahedra, corners with four OZr4 trigonal pyramids, corners with six NZr4 trigonal pyramids, an edgeedge with one OZr4 trigonal pyramid, and edges with three NZr4 trigonal pyramids. In the eleventh N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 tetrahedra that share a cornercorner with one NZr4 tetrahedra, a cornercorner with one OZr4 tetrahedra, corners with four OZr4 trigonal pyramids, corners with six NZr4 trigonal pyramids, an edgeedge with one OZr4 trigonal pyramid, and edges with three NZr4 trigonal pyramids. In the twelfth N3- site, N3- is bonded to four Zr4+ atoms to form NZr4 trigonal pyramids that share corners with five OZr4 trigonal pyramids, corners with seven NZr4 trigonal pyramids, an edgeedge with one NZr4 tetrahedra, an edgeedge with one OZr4 trigonal pyramid, and edges with two NZr4 trigonal pyramids. In the thirteenth N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share a cornercorner with one NZr4 tetrahedra, a cornercorner with one OZr4 tetrahedra, corners with two OZr4 trigonal pyramids, corners with eight NZr4 trigonal pyramids, an edgeedge with one NZr4 trigonal pyramid, and edges with three OZr4 trigonal pyramids. In the fourteenth N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share a cornercorner with one OZr4 tetrahedra, corners with four OZr4 trigonal pyramids, corners with seven NZr4 trigonal pyramids, an edgeedge with one OZr4 trigonal pyramid, and edges with three NZr4 trigonal pyramids. In the fifteenth N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 tetrahedra that share a cornercorner with one NZr4 tetrahedra, a cornercorner with one OZr4 tetrahedra, corners with two OZr4 trigonal pyramids, corners with eight NZr4 trigonal pyramids, edges with two NZr4 trigonal pyramids, and edges with two OZr4 trigonal pyramids. In the sixteenth N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share a cornercorner with one OZr4 tetrahedra, corners with two NZr4 tetrahedra, corners with two OZr4 trigonal pyramids, corners with seven NZr4 trigonal pyramids, an edgeedge with one OZr4 trigonal pyramid, and edges with three NZr4 trigonal pyramids. There are eight inequivalent O2- sites. In the first O2- site, O2- is bonded to four Zr4+ atoms to form distorted OZr4 trigonal pyramids that share corners with five OZr4 trigonal pyramids, corners with seven NZr4 trigonal pyramids, an edgeedge with one OZr4 tetrahedra, and edges with three NZr4 trigonal pyramids. In the second O2- site, O2-

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 two N3- and four O2- atoms to form HfN2O4 octahedra that share corners with five HfN4O2 octahedra, a cornercorner with one HfN3O3 pentagonal pyramid, and edges with six HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 49–57°. There are one shorter (2.06 Å) and one longer (2.10 Å) Hf–N bond lengths. There are a spread of Hf–O bond distances ranging from 2.11–2.24 Å. In the second Hf4+ site, Hf4+ is bonded to three N3- and three O2- atoms to form distorted HfN3O3 pentagonal pyramids that share corners with six HfN2O4 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 2.07–2.17 Å. There are two shorter (2.16 Å) and one longer (2.23 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 five HfN2O4 octahedra, a cornercorner with one HfN3O3 pentagonal pyramid, and edges with six HfN5O octahedra. The corner-sharing octahedra tilt angles range from 49–53°. There are a spread of Hf–N bond distances ranging from 2.16–2.19 Å. Both Hf–O bond lengths are 2.15 Å. In the fourth Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form distorted HfN4O2 octahedra that share corners with six HfN5O octahedra, edges with five HfN2O4 octahedra, and an edgeedge with one HfN3O3 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 54–58°. There are a spread of Hf–N bond distances ranging from 2.08–2.16 Å. There are one shorter (2.36 Å) and one longer (2.39 Å) Hf–O bond lengths. 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 HfN4O2 octahedra and edges with six HfN2O4 octahedra. The corner-sharing octahedra tilt angles range from 49–59°. There are a spread of Hf–N bond distances ranging from 2.06–2.20 Å. There are two shorter (2.15 Å) and one longer (2.25 Å) Hf–O bond lengths. In the sixth Hf4+ site, Hf4+ is bonded to five N3- and one O2- atom to form distorted HfN5O octahedra that share corners with six HfN4O2 octahedra, edges with five HfN2O4 octahedra, and an edgeedge with one HfN3O3 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 52–60°. There are a spread of Hf–N bond distances ranging from 2.11–2.23 Å. The Hf–O bond length is 2.37 Å. In the seventh Hf4+ site, Hf4+ is bonded to five N3- and one O2- atom to form distorted HfN5O octahedra that share corners with six HfN2O4 octahedra, edges with five HfN4O2 octahedra, and an edgeedge with one HfN3O3 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 53–59°. There are a spread of Hf–N bond distances ranging from 2.13–2.24 Å. The Hf–O bond length is 2.30 Å. In the eighth Hf4+ site, Hf4+ is bonded to five N3- and one O2- atom to form HfN5O octahedra that share corners with six HfN4O2 octahedra, edges with five HfN4O2 octahedra, and an edgeedge with one HfN3O3 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 52–59°. There are a spread of Hf–N bond distances ranging from 2.10–2.22 Å. The Hf–O bond length is 2.33 Å. In the ninth Hf4+ site, Hf4+ is bonded to five N3- and one O2- atom to form HfN5O octahedra that share corners with five HfN4O2 octahedra, a cornercorner with one HfN3O3 pentagonal pyramid, and edges with six HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 55–60°. There are a spread of Hf–N bond distances ranging from 2.09–2.24 Å. The Hf–O bond length is 2.30 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 HfN4O2 octahedra, edges with five HfN4O2 octahedra, and an edgeedge with one HfN3O3 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 51–60°. There are a spread of Hf–N bond distances ranging from 2.08–2.20 Å. There are one shorter (2.21 Å) and one longer (2.27 Å) Hf–O bond lengths. In the eleventh Hf4+ site, Hf4+ is bonded to three N3- and three O2- atoms to form distorted HfN3O3 octahedra that share corners with five HfN4O2 octahedra, a cornercorner with one HfN3O3 pentagonal pyramid, and edges with six HfN2O4 octahedra. The corner-sharing octahedra tilt angles range from 49–55°. There are a spread of Hf–N bond distances ranging from 2.07–2.18 Å. There are a spread of Hf–O bond distances ranging from 2.12–2.29 Å. In the twelfth Hf4+ site, Hf4+ is bonded to three N3- and three O2- atoms to form distorted HfN3O3 octahedra that share corners with five HfN2O4 octahedra, a cornercorner with one HfN3O3 pentagonal pyramid, and edges with six HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 50–57°. There are a spread of Hf–N bond distances ranging from 2.09–2.20 Å. There are a spread of Hf–O bond distances ranging from 2.13–2.19 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 HfN2O4 octahedra. The corner-sharing octahedra tilt angles range from 53–57°. There are a spread of Hf–N bond distances ranging from 2.10–2.16 Å. There are one shorter (2.25 Å) and one longer (2.27 Å) Hf–O bond lengths. In the fourteenth Hf4+ site, Hf4+ is bonded to three N3- and three O2- atoms to form distorted HfN3O3 octahedra that share corners with six HfN2O4 octahedra, edges with five HfN3O3 octahedra, and an edgeedge with one HfN3O3 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 52–57°. There are one shorter (2.08 Å) and two longer (2.15 Å) Hf–N bond lengths. There are a spread of Hf–O bond distances ranging from 2.14–2.27 Å. In the fifteenth Hf4+ site, Hf4+ is bonded to five N3- and one O2- atom to form distorted HfN5O octahedra that share corners with five HfN3O3 octahedra, a cornercorner with one HfN3O3 pentagonal pyramid, and edges with six HfN2O4 octahedra. The corner-sharing octahedra tilt angles range from 50–57°. There are a spread of Hf–N bond distances ranging from 2.12–2.23 Å. The Hf–O bond length is 2.23 Å. In the sixteenth Hf4+ site, Hf4+ is bonded to six N3- atoms to form distorted HfN6 octahedra that share corners with six HfN2O4 octahedra and edges with six HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 53–57°. There are a spread of Hf–N bond distances ranging from 2.16–2.24 Å. There are sixteen inequivalent N3- sites. In the first N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 tetrahedra that share corners with three NHf4 tetrahedra, corners with four OHf4 trigonal pyramids, corners with five NHf4 trigonal pyramids, an edgeedge with one NHf4 trigonal pyramid, and edges with three OHf4 trigonal pyramids. In the second N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 tetrahedra that share corners with three NHf4 tetrahedra, corners with two 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 third N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 tetrahedra that share corners with three NHf4 tetrahedra, corners with two 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 fourth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with three NHf4 tetrahedra, corners with two 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 fifth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with three NHf4 tetrahedra, corners with two 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 sixth 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 five NHf4 trigonal pyramids, corners with six OHf4 trigonal pyramids, an edgeedge with one NHf4 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 corners with three NHf4 tetrahedra, corners with four OHf4 trigonal pyramids, corners with five NHf4 trigonal pyramids, an edgeedge with one OHf4 trigonal pyramid, and edges with three NHf4 trigonal pyramids. In the eighth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 tetrahedra that share corners with three NHf4 tetrahedra, corners with two OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, edges with two NHf4 trigonal pyramids, and edges with two OHf4 trigonal pyramids. In the ninth 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 five NHf4 trigonal pyramids, corners with six OHf4 trigonal pyramids, an edgeedge with one NHf4 tetrahedra, and edges with three NHf4 trigonal pyramids. In the tenth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with three NHf4 tetrahedra, corners with four OHf4 trigonal pyramids, corners with five 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 corners with three NHf4 tetrahedra, corners with two 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 twelfth 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 five NHf4 trigonal pyramids, corners with six OHf4 trigonal pyramids, an edgeedge with one NHf4 tetrahedra, 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 corners with three NHf4 tetrahedra, corners with two OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, edges with two NHf4 trigonal pyramids, and edges with two OHf4 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 five NHf4 trigonal pyramids, corners with six OHf4 trigonal pyramids, an edgeedge with one NHf4 tetrahedra, and edges with three NHf4 trigonal pyramids. In the fifteenth N3- site, N3- is bonded to four Hf4+ atoms to form NHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, corners with five NHf4 trigonal pyramids, corners with six OHf4 trigonal pyramids, an edgeedge with one NHf4 tetrahedra, and edges with three NHf4 trigonal pyramids. In the sixteenth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with three NHf4 tetrahedra, corners with two OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, edges with two NHf4 trigonal pyramids, 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 two OHf4 trigonal pyrami

36 MATERIALS SCIENCE↗

The solubility and site preference of Fe{sup 3+} in Li{sub 7−3x}Fe{sub x}La{sub 3}Zr{sub 2}O{sub 12} garnets

A series of Fe{sup 3+}-bearing Li{sub 7}La{sub 3}Zr{sub 2}O{sub 12} (LLZO) garnets was synthesized using solid-state synthesis methods. The synthetic products were characterized compositionally using electron microprobe analysis and inductively coupled plasma optical emission spectroscopy (ICP-OES) and structurally using X-ray powder diffraction and {sup 57}Fe Mössbauer spectroscopy. A maximum of about 0.25 Fe{sup 3+} pfu could be incorporated in Li{sub 7−3x}Fe{sub x}La{sub 3}Zr{sub 2}O{sub 12} garnet solid solutions. At Fe{sup 3+} concentrations lower than about 0.16 pfu, both tetragonal and cubic garnets were obtained in the synthesis experiments. X-ray powder diffraction analysis showed only a garnet phase for syntheses with starting materials having intended Fe{sup 3+} contents lower than 0.52 Fe{sup 3+} pfu. Back-scattered electron images made with an electron microprobe also showed no phase other than garnet for these compositions. The lattice parameter, a{sub 0}, for all solid-solution garnets is similar with a value of a{sub 0}≈12.98 Å regardless of the amount of Fe{sup 3+}. {sup 57}Fe Mössbauer spectroscopic measurements indicate the presence of poorly- or nano-crystalline FeLaO{sub 3} in syntheses with Fe{sup 3+} contents greater than 0.16 Fe{sup 3+} pfu. The composition of different phase pure Li{sub 7−3x}Fe{sub x}La{sub 3}Zr{sub 2}O{sub 12} garnets, as determined by electron microprobe (Fe, La, Zr) and ICP-OES (Li) measurements, give Li{sub 6.89}Fe{sub 0.03}La{sub 3.05}Zr{sub 2.01}O{sub 12}, Li{sub 6.66}Fe{sub 0.06}La{sub 3.06}Zr{sub 2.01}O{sub 12}, Li{sub 6.54}Fe{sub 0.12}La{sub 3.01}Zr{sub 1.98}O{sub 12}, and Li{sub 6.19}Fe{sub 0.19}La{sub 3.02}Zr{sub 2.04}O{sub 12}. The {sup 57}Fe Mössbauer spectrum of cubic Li{sub 6.54}Fe{sub 0.12}La{sub 3.01}Zr{sub 1.98}O{sub 12} garnet indicates that most Fe{sup 3+} occurs at the special crystallographic 24d position, which is the standard tetrahedrally coordinated site in garnet. Fe{sup 3+} in smaller amounts occurs at a general 96h site, which is only present for certain Li-oxide garnets, and in Li{sub 6.54}Fe{sub 0.12}La{sub 3.01}Zr{sub 1.98}O{sub 12} this Fe{sup 3+} has a distorted 4-fold coordination. - Graphical abstract: Cubic nominally Li{sub 7}La{sub 3}Zr{sub 2}O{sub 12} (LLZO) garnet is a promising candidate to be used as a solid electrolyte in Li-ion batteries. A series of Fe{sup 3+}-bearing LLZO garnets was synthesized and characterized compositionally and structurally. {sup 57}Mössbauer measurements were made to determine where Fe is incorporated in the crystal structure. X-ray diffraction, electron microprobe, ICP-OES and {sup 57}Mössbauer measurements are needed to obtain a full description of the synthetic products, some of which contain small amounts of nano- or poorly crystalline FeLaO{sub 3}. - Highlights: • A series of Fe{sup 3+}-bearing Li{sub 7}La{sub 3}Zr{sub 2}O{sub 12} (LLZO) garnets was synthesized and characterized compositionally and structurally. • {sup 57}Mössbauer measurements were made to determine where Fe is incorporated in the crystal structure. • Most Fe{sup 3+} substitutes for Li{sup +} in LLZO at the 24d and 96h sites in the cubic phase (Ia-3d). • No more than about 0.25 Fe{sup 3+} pfu can be incorporated into the LLZO garnet structure. • X-ray powder diffractions measurements indicate the presence of both cubic and tetragonal garnets phases in some syntheses. • The probable presence of small amounts of poorly or nano-crystalline FeLaO3 can only be identified by Mössbauer spectroscopy.

37 INORGANIC, ORGANIC, PHYSICAL, AND ANALYTICAL CH↗

Materials Data on Dy(CrS2)3 by Materials Project

Dy(CrS2)3 crystallizes in the monoclinic Pc space group. The structure is three-dimensional. there are eight inequivalent Dy3+ sites. In the first Dy3+ site, Dy3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Dy–S bond distances ranging from 2.79–2.89 Å. In the second Dy3+ site, Dy3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Dy–S bond distances ranging from 2.78–3.02 Å. In the third Dy3+ site, Dy3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Dy–S bond distances ranging from 2.78–3.05 Å. In the fourth Dy3+ site, Dy3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Dy–S bond distances ranging from 2.79–2.86 Å. In the fifth Dy3+ site, Dy3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Dy–S bond distances ranging from 2.79–2.86 Å. In the sixth Dy3+ site, Dy3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Dy–S bond distances ranging from 2.78–3.03 Å. In the seventh Dy3+ site, Dy3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Dy–S bond distances ranging from 2.78–3.05 Å. In the eighth Dy3+ site, Dy3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Dy–S bond distances ranging from 2.79–2.89 Å. There are twenty-four inequivalent Cr3+ sites. In the first Cr3+ site, Cr3+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing CrS6 octahedra. The corner-sharing octahedra tilt angles range from 49–57°. There are a spread of Cr–S bond distances ranging from 2.37–2.50 Å. In the second Cr3+ site, Cr3+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing CrS6 octahedra. The corner-sharing octahedra tilt angles range from 49–60°. There are a spread of Cr–S bond distances ranging from 2.33–2.48 Å. In the third Cr3+ site, Cr3+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing CrS6 octahedra. The corner-sharing octahedra tilt angles range from 48–57°. There are a spread of Cr–S bond distances ranging from 2.34–2.56 Å. In the fourth Cr3+ site, Cr3+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing CrS6 octahedra. The corner-sharing octahedra tilt angles range from 51–59°. There are a spread of Cr–S bond distances ranging from 2.36–2.54 Å. In the fifth Cr3+ site, Cr3+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing CrS6 octahedra. The corner-sharing octahedra tilt angles range from 49–60°. There are a spread of Cr–S bond distances ranging from 2.36–2.53 Å. In the sixth Cr3+ site, Cr3+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing CrS6 octahedra. The corner-sharing octahedra tilt angles range from 47–60°. There are a spread of Cr–S bond distances ranging from 2.37–2.49 Å. In the seventh Cr3+ site, Cr3+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing CrS6 octahedra. The corner-sharing octahedra tilt angles range from 47–60°. There are a spread of Cr–S bond distances ranging from 2.37–2.44 Å. In the eighth Cr3+ site, Cr3+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing CrS6 octahedra. The corner-sharing octahedra tilt angles range from 49–59°. There are a spread of Cr–S bond distances ranging from 2.37–2.49 Å. In the ninth Cr3+ site, Cr3+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing CrS6 octahedra. The corner-sharing octahedra tilt angles range from 49–60°. There are a spread of Cr–S bond distances ranging from 2.37–2.48 Å. In the tenth Cr3+ site, Cr3+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing CrS6 octahedra. The corner-sharing octahedra tilt angles range from 49–60°. There are a spread of Cr–S bond distances ranging from 2.36–2.53 Å. In the eleventh Cr3+ site, Cr3+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing CrS6 octahedra. The corner-sharing octahedra tilt angles range from 49–60°. There are a spread of Cr–S bond distances ranging from 2.36–2.52 Å. In the twelfth Cr3+ site, Cr3+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing CrS6 octahedra. The corner-sharing octahedra tilt angles range from 48–57°. There are a spread of Cr–S bond distances ranging from 2.35–2.55 Å. In the thirteenth Cr3+ site, Cr3+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing CrS6 octahedra. The corner-sharing octahedra tilt angles range from 48–57°. There are a spread of Cr–S bond distances ranging from 2.35–2.55 Å. In the fourteenth Cr3+ site, Cr3+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing CrS6 octahedra. The corner-sharing octahedra tilt angles range from 47–60°. There are a spread of Cr–S bond distances ranging from 2.37–2.44 Å. In the fifteenth Cr3+ site, Cr3+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing CrS6 octahedra. The corner-sharing octahedra tilt angles range from 47–60°. There are a spread of Cr–S bond distances ranging from 2.37–2.44 Å. In the sixteenth Cr3+ site, Cr3+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing CrS6 octahedra. The corner-sharing octahedra tilt angles range from 47–60°. There are a spread of Cr–S bond distances ranging from 2.37–2.44 Å. In the seventeenth Cr3+ site, Cr3+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing CrS6 octahedra. The corner-sharing octahedra tilt angles range from 49–59°. There are five shorter (2.41 Å) and one longer (2.43 Å) Cr–S bond lengths. In the eighteenth Cr3+ site, Cr3+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing CrS6 octahedra. The corner-sharing octahedra tilt angles range from 47–59°. There are a spread of Cr–S bond distances ranging from 2.37–2.50 Å. In the nineteenth Cr3+ site, Cr3+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing CrS6 octahedra. The corner-sharing octahedra tilt angles range from 48–57°. There are a spread of Cr–S bond distances ranging from 2.34–2.56 Å. In the twentieth Cr3+ site, Cr3+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing CrS6 octahedra. The corner-sharing octahedra tilt angles range from 49–60°. There are a spread of Cr–S bond distances ranging from 2.36–2.53 Å. In the twenty-first Cr3+ site, Cr3+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing CrS6 octahedra. The corner-sharing octahedra tilt angles range from 49–60°. There are a spread of Cr–S bond distances ranging from 2.33–2.48 Å. In the twenty-second Cr3+ site, Cr3+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing CrS6 octahedra. The corner-sharing octahedra tilt angles range from 51–59°. There are a spread of Cr–S bond distances ranging from 2.36–2.54 Å. In the twenty-third Cr3+ site, Cr3+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing CrS6 octahedra. The corner-sharing octahedra tilt angles range from 49–57°. There are a spread of Cr–S bond distances ranging from 2.37–2.50 Å. In the twenty-fourth Cr3+ site, Cr3+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing CrS6 octahedra. The corner-sharing octahedra tilt angles range from 49–59°. There are a spread of Cr–S bond distances ranging from 2.40–2.43 Å. There are forty-eight inequivalent S2- sites. In the first S2- site, S2- is bonded to one Dy3+ and three Cr3+ atoms to form distorted SDyCr3 trigonal pyramids that share corners with three SDy2Cr3 trigonal bipyramids, corners with four SDyCr3 trigonal pyramids, an edgeedge with one SDy2Cr3 square pyramid, an edgeedge with one SDy2Cr3 trigonal bipyramid, and an edgeedge with one SDyCr3 trigonal pyramid. In the second S2- site, S2- is bonded to one Dy3+ and three Cr3+ atoms to form distorted SDyCr3 trigonal pyramids that share corners with seven SDyCr3 trigonal pyramids, an edgeedge with one SDy2Cr3 square pyramid, an edgeedge with one SDy2Cr3 trigonal bipyramid, and edges with two SDyCr3 trigonal pyramids. In the third S2- site, S2- is bonded to one Dy3+ and three Cr3+ atoms to form distorted SDyCr3 trigonal pyramids that share corners with two SDy2Cr3 trigonal bipyramids, corners with eight SDyCr3 trigonal pyramids, an edgeedge with one SDy2Cr3 trigonal bipyramid, and an edgeedge with one SDyCr3 trigonal pyramid. In the fourth S2- site, S2- is bonded in a 5-coordinate geometry to two Dy3+ and three Cr3+ atoms. In the fifth S2- site, S2- is bonded in a 5-coordinate geometry to two Dy3+ and three Cr3+ atoms. In the sixth S2- site, S2- is bonded to two Dy3+ and three Cr3+ atoms to form distorted SDy2Cr3 trigonal bipyramids that share corners with two SDy2Cr3 trigonal bipyramids, corners with four SDyCr3 trigonal pyramids, an edgeedge with one SDy2Cr3 square pyramid, an edgeedge with one SDy2Cr3 trigonal bipyramid, and edges with three SDyCr3 trigonal pyramids. In the seventh S2- site, S2- is bonded in a 3-coordinate geometry to three Cr3+ atoms. In the eighth S2- site, S2- is bonded in a 5-coordinate geometry to two Dy3+ and three Cr3+ atoms. In the ninth S2- site, S2- is bonded to two Dy3+ and three Cr3+ atoms to form distorted SDy2Cr3 square pyramids that share a cornercorner with one SDy2Cr3 trigonal bipyramid, corners with three SDyCr3 trigonal pyramids, edges with three SDy2Cr3 trigonal bipyramids, and edges with four SDyCr3 trigonal pyramids. In the tenth S2- site, S2- is bonded in a distorted trigonal planar geometry to three Cr3+ atoms. In the eleventh S2- site, S2- is bonded to one Dy3+ and three Cr3+ atoms to form distorted SDyCr3 trigonal pyramids that share a cornercorner with one SDy2Cr3 square pyramid, corners with three SDy2Cr3 trigonal bipyramids, corners with four SDyCr3 trigonal pyramids, and edges with two SDy2Cr3 trigonal bipyramids. In the twelfth S2- site, S2- is bonded in a 5-coordinate geometry to two Dy3+ and three Cr3+ atoms. In the thirteenth S2- site, S2- is bonded to one Dy3+ and three Cr3+ atoms to form distorted SDyCr3 trigonal pyramids that share corners with seven SDyCr3 trigonal pyramids, an edgeedge with one SDy2Cr3 trigonal bipyramid, and an edgeedge with one SDyCr3 trigonal pyramid. In the fourteenth S2- site, S2- is bonded to two Dy3+ and three Cr3+ atoms to form distorted SDy2Cr3 trigonal bipyramids that share corners with two SDy2Cr3 trigonal bipyramids, corners with four SDyCr3 trigonal pyramids, an edgeedge with one SDy2Cr3 square pyramid, an edgeedge with one SDy2Cr3 trigonal bipyramid, and edges with three SDyCr3 trigonal pyramids. In the fifteenth S2- site, S2- is bonded to one Dy3+ and three Cr3+ atoms to form distorted SDyCr3 trigonal pyramids that share corners with seven SDyCr3 trigonal pyramids, an edgeedge with one SDy2Cr3 square pyramid, an edgeedge with one SDy2Cr3 trigonal bipyramid, and edges with two SDyCr3 trigonal pyramids. In the sixteenth S2- site, S2- is bonded to one Dy3+ and three Cr3+ atoms to form distorted SDyCr3 trigonal pyramids that share corners with seven SDyCr3 trigonal pyramids, an edgeedge with one SDy2Cr3 square pyramid, an edgeedge with one SDy2Cr3 trigonal bipyramid, and edges with two SDyCr3 trigonal pyramids. In the seventeenth S2- site, S2- is bonded to one Dy3+ and three Cr3+ atoms to form distorted SDyCr3 trigonal pyramids that share corners with two SDy2Cr3 square pyramids, corners with two SDy2Cr3 trigonal bipyramids, corners with five SDyCr3 trigonal pyramids, and edges with two SDy2Cr3 trigonal bipyramids. In the eighteenth S2- site, S2- is bonded to one Dy3+ and three Cr3+ atoms to form distorted SDyCr3 trigonal pyramids that share corners with two SDy2Cr3 square pyramids, corners with two SDy2Cr3 trigonal bipyramids, corners with five SDyCr3 trigonal pyramids, and edges with two SDy2Cr3 trigonal bipyramids. In the nineteenth S2- site, S2- is bonded to one Dy3+ and three Cr3+ atoms to form distorted SDyCr3 trigonal pyramids that s

36 MATERIALS SCIENCE↗

Materials Data on Li2CrFe3O8 by Materials Project

Li2CrFe3O8 is Spinel-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three CrO6 octahedra and corners with nine FeO6 octahedra. The corner-sharing octahedra tilt angles range from 57–61°. There are a spread of Li–O bond distances ranging from 1.99–2.01 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three CrO6 octahedra and corners with nine FeO6 octahedra. The corner-sharing octahedra tilt angles range from 57–61°. There is one shorter (1.98 Å) and three longer (2.00 Å) Li–O bond length. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three CrO6 octahedra and corners with nine FeO6 octahedra. The corner-sharing octahedra tilt angles range from 57–61°. There is one shorter (1.99 Å) and three longer (2.00 Å) Li–O bond length. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three CrO6 octahedra and corners with nine FeO6 octahedra. The corner-sharing octahedra tilt angles range from 56–61°. 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 CrO6 octahedra and corners with nine FeO6 octahedra. The corner-sharing octahedra tilt angles range from 57–62°. There are one shorter (2.01 Å) and three longer (2.02 Å) Li–O bond lengths. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three CrO6 octahedra and corners with nine FeO6 octahedra. The corner-sharing octahedra tilt angles range from 56–61°. There are a spread of Li–O bond distances ranging from 2.00–2.03 Å. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three CrO6 octahedra and corners with nine FeO6 octahedra. The corner-sharing octahedra tilt angles range from 57–62°. There are a spread of Li–O bond distances ranging from 2.00–2.03 Å. In the eighth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three CrO6 octahedra and corners with nine FeO6 octahedra. The corner-sharing octahedra tilt angles range from 57–62°. There are a spread of Li–O bond distances ranging from 2.01–2.03 Å. There are four inequivalent Cr5+ sites. In the first Cr5+ site, Cr5+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra and edges with six FeO6 octahedra. There are a spread of Cr–O bond distances ranging from 1.98–2.00 Å. In the second Cr5+ site, Cr5+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra and edges with six FeO6 octahedra. There are a spread of Cr–O bond distances ranging from 1.98–2.01 Å. In the third Cr5+ site, Cr5+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra and edges with six FeO6 octahedra. There are four shorter (2.01 Å) and two longer (2.04 Å) Cr–O bond lengths. In the fourth Cr5+ site, Cr5+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra and edges with six FeO6 octahedra. There are four shorter (2.01 Å) and two longer (2.04 Å) Cr–O bond lengths. There are twelve inequivalent Fe3+ sites. In the first Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CrO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.98–2.04 Å. In the second Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CrO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.92–2.03 Å. In the third Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CrO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.97–2.05 Å. In the fourth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CrO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.97–2.05 Å. In the fifth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CrO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.92–2.03 Å. In the sixth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CrO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.98–2.05 Å. In the seventh Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CrO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.02–2.04 Å. In the eighth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CrO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.97–2.05 Å. In the ninth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CrO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.92–2.03 Å. In the tenth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CrO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.92–2.03 Å. In the eleventh Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CrO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.97–2.05 Å. In the twelfth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CrO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.02–2.04 Å. There are thirty-two inequivalent O2- sites. In the first O2- site, O2- is bonded to one Li1+, one Cr5+, and two Fe3+ atoms to form a mixture of distorted corner and edge-sharing OLiCrFe2 trigonal pyramids. In the second O2- site, O2- is bonded to one Li1+, one Cr5+, and two Fe3+ atoms to form a mixture of distorted corner and edge-sharing OLiCrFe2 trigonal pyramids. In the third O2- site, O2- is bonded to one Li1+ and three Fe3+ atoms to form a mixture of distorted corner and edge-sharing OLiFe3 trigonal pyramids. In the fourth O2- site, O2- is bonded to one Li1+, one Cr5+, and two Fe3+ atoms to form a mixture of distorted corner and edge-sharing OLiCrFe2 trigonal pyramids. In the fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Cr5+, and two Fe3+ atoms. In the sixth O2- site, O2- is bonded to one Li1+ and three Fe3+ atoms to form distorted OLiFe3 trigonal pyramids that share corners with ten OLiFe3 trigonal pyramids, an edgeedge with one OLiCrFe2 tetrahedra, and edges with two OLiCrFe2 trigonal pyramids. In the seventh O2- site, O2- is bonded to one Li1+, one Cr5+, and two Fe3+ atoms to form a mixture of distorted corner and edge-sharing OLiCrFe2 trigonal pyramids. In the eighth O2- site, O2- is bonded to one Li1+, one Cr5+, and two Fe3+ atoms to form distorted OLiCrFe2 trigonal pyramids that share corners with ten OLiCrFe2 trigonal pyramids and edges with three OLiFe3 trigonal pyramids. In the ninth O2- site, O2- is bonded to one Li1+, one Cr5+, and two Fe3+ atoms to form a mixture of distorted corner and edge-sharing OLiCrFe2 tetrahedra. In the tenth O2- site, O2- is bonded to one Li1+, one Cr5+, and two Fe3+ atoms to form distorted OLiCrFe2 trigonal pyramids that share corners with ten OLiFe3 trigonal pyramids, an edgeedge with one OLiCrFe2 tetrahedra, and edges with two OLiCrFe2 trigonal pyramids. In the eleventh O2- site, O2- is bonded to one Li1+ and three Fe3+ atoms to form a mixture of distorted corner and edge-sharing OLiFe3 trigonal pyramids. In the twelfth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Cr5+, and two Fe3+ atoms. In the thirteenth O2- site, O2- is bonded to one Li1+, one Cr5+, and two Fe3+ atoms to form distorted OLiCrFe2 trigonal pyramids that share a cornercorner with one OLiCrFe2 tetrahedra, corners with nine OLiFe3 trigonal pyramids, and edges with three OLiFe3 trigonal pyramids. In the fourteenth O2- site, O2- is bonded to one Li1+ and three Fe3+ atoms to form a mixture of distorted corner and edge-sharing OLiFe3 trigonal pyramids. In the fifteenth O2- site, O2- is bonded to one Li1+, one Cr5+, and two Fe3+ atoms to form distorted OLiCrFe2 trigonal pyramids that share a cornercorner with one OLiCrFe2 tetrahedra, corners with nine OLiCrFe2 trigonal pyramids, and edges with three OLiFe3 trigonal pyramids. In the sixteenth O2- site, O2- is bonded to one Li1+, one Cr5+, and two Fe3+ atoms to form distorted OLiCrFe2 trigonal pyramids that share a cornercorner with one OLiCrFe2 tetrahedra, corners with nine OLiCrFe2 trigonal pyramids, and edges with three OLiFe3 trigonal pyramids. In the seventeenth O2- site, O2- is bonded to one Li1+, one Cr5+, and two Fe3+ atoms to form a mixture of distorted corner and edge-sharing OLiCrFe2 trigonal pyramids. In the eighteenth O2- site, O2- is bonded to one Li1+, one Cr5+, and two Fe3+ atoms to form distorted OLiCrFe2 trigonal pyramids that share corners with eleven OLiFe3 trigonal pyramids and edges with two OLiCrFe2 trigonal pyramids. In the nineteenth O2- site, O2- is bonded to one Li1+ and three Fe3+ atoms to form distorted OLiFe3 trigonal pyramids that share corners with ten OLiFe3 trigonal pyramids and edges with three OLiCrFe2 trigonal pyramids. In the twentieth O2- site, O2- is bonded to one Li1+, one Cr5+, and two Fe3+ atoms to form a mixture of distorted corner and edge-sharing OLiCrFe2 trigonal pyramids. In the twenty-first O2- site, O2- is bonded to one Li1+, one Cr5+, and two Fe3+ atoms to form distorted OLiCrFe2 trigonal pyramids that share a cornercorner with one OLiCrFe2 tetrahedra, corners with nine OLiCrFe2 trigonal pyramids, and edges with three OLiFe3 trigonal pyramids. In the twenty-second O2- site, O2- is bonded to one Li1+ and three Fe3+ atoms to form a mixture of distorted corner and edge-sharing OLiFe3 trigonal pyramids. In the twenty-third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Cr5+, and two Fe3+ atoms. In the twenty-fourth O2- site, O2- is bonded to one Li1+, one Cr5+, and two Fe3+ atoms to form distorted OLiCrFe2 trigonal pyramids that share corners with eleven OLiCrFe2 trigonal pyramids and edges with two OLiFe3 trigonal pyramids. In the twenty-fifth O2- site, O2- is bonded to one Li1+, one Cr5+, and two Fe3+ atoms to form distorted OLiCrFe2 trigonal pyramids that share corners with eleven OLiFe3 trigonal pyramids and edges with two OLiCrFe2 trigonal pyramids. In the twenty-sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Cr5+, and two Fe3+ atoms. In the twenty-seventh O2- site, O2- is bonded to one Li1+ and three Fe3+ atoms to form a mixture of distorted corner and edge-sharing OLiFe3 trigonal pyramids. In the twenty-eighth O2- site, O2- is bonded to one Li1+, one Cr5+,

36 MATERIALS SCIENCE↗

Materials Data on AgSbO3 by Materials Project

AgSbO3 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twelve inequivalent Ag1+ sites. In the first Ag1+ site, Ag1+ is bonded in a 3-coordinate geometry to three O2- atoms. There are a spread of Ag–O bond distances ranging from 2.41–2.50 Å. In the second Ag1+ site, Ag1+ is bonded in a 3-coordinate geometry to three O2- atoms. There are a spread of Ag–O bond distances ranging from 2.36–2.53 Å. In the third Ag1+ site, Ag1+ is bonded in a single-bond geometry to one O2- atom. The Ag–O bond length is 2.28 Å. In the fourth Ag1+ site, Ag1+ is bonded in a 3-coordinate geometry to six O2- atoms. There are a spread of Ag–O bond distances ranging from 2.45–2.97 Å. In the fifth Ag1+ site, Ag1+ is bonded in a 3-coordinate geometry to four O2- atoms. There are a spread of Ag–O bond distances ranging from 2.35–2.62 Å. In the sixth Ag1+ site, Ag1+ is bonded in a 2-coordinate geometry to five O2- atoms. There are a spread of Ag–O bond distances ranging from 2.38–2.91 Å. In the seventh Ag1+ site, Ag1+ is bonded in a 3-coordinate geometry to three O2- atoms. There are a spread of Ag–O bond distances ranging from 2.37–2.48 Å. In the eighth Ag1+ site, Ag1+ is bonded in a 3-coordinate geometry to five O2- atoms. There are a spread of Ag–O bond distances ranging from 2.39–2.78 Å. In the ninth Ag1+ site, Ag1+ is bonded in a distorted single-bond geometry to one O2- atom. The Ag–O bond length is 2.21 Å. In the tenth Ag1+ site, Ag1+ is bonded in a 3-coordinate geometry to three O2- atoms. There are a spread of Ag–O bond distances ranging from 2.41–2.47 Å. In the eleventh Ag1+ site, Ag1+ is bonded in a 3-coordinate geometry to three O2- atoms. There are a spread of Ag–O bond distances ranging from 2.35–2.49 Å. In the twelfth Ag1+ site, Ag1+ is bonded in a 6-coordinate geometry to five O2- atoms. There are a spread of Ag–O bond distances ranging from 2.51–2.72 Å. There are twelve inequivalent Sb5+ sites. In the first Sb5+ site, Sb5+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing SbO6 octahedra. The corner-sharing octahedra tilt angles range from 53–56°. There are a spread of Sb–O bond distances ranging from 1.98–2.06 Å. In the second Sb5+ site, Sb5+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing SbO6 octahedra. The corner-sharing octahedra tilt angles range from 53–57°. There are a spread of Sb–O bond distances ranging from 1.98–2.06 Å. In the third Sb5+ site, Sb5+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing SbO6 octahedra. The corner-sharing octahedra tilt angles range from 55–57°. There are a spread of Sb–O bond distances ranging from 1.98–2.06 Å. In the fourth Sb5+ site, Sb5+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing SbO6 octahedra. The corner-sharing octahedra tilt angles range from 53–57°. There are a spread of Sb–O bond distances ranging from 1.98–2.05 Å. In the fifth Sb5+ site, Sb5+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing SbO6 octahedra. The corner-sharing octahedra tilt angles range from 53–55°. There are a spread of Sb–O bond distances ranging from 1.97–2.07 Å. In the sixth Sb5+ site, Sb5+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing SbO6 octahedra. The corner-sharing octahedra tilt angles range from 52–58°. There are a spread of Sb–O bond distances ranging from 1.99–2.06 Å. In the seventh Sb5+ site, Sb5+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing SbO6 octahedra. The corner-sharing octahedra tilt angles range from 53–55°. There are a spread of Sb–O bond distances ranging from 1.96–2.08 Å. In the eighth Sb5+ site, Sb5+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing SbO6 octahedra. The corner-sharing octahedra tilt angles range from 52–57°. There are a spread of Sb–O bond distances ranging from 1.97–2.05 Å. In the ninth Sb5+ site, Sb5+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing SbO6 octahedra. The corner-sharing octahedra tilt angles range from 56–58°. There are a spread of Sb–O bond distances ranging from 2.00–2.03 Å. In the tenth Sb5+ site, Sb5+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing SbO6 octahedra. The corner-sharing octahedra tilt angles range from 53–57°. There are a spread of Sb–O bond distances ranging from 1.99–2.05 Å. In the eleventh Sb5+ site, Sb5+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing SbO6 octahedra. The corner-sharing octahedra tilt angles range from 55–58°. There are a spread of Sb–O bond distances ranging from 1.96–2.05 Å. In the twelfth Sb5+ site, Sb5+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing SbO6 octahedra. The corner-sharing octahedra tilt angles range from 55–57°. There are a spread of Sb–O bond distances ranging from 1.99–2.06 Å. There are thirty-six inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Ag1+ and two Sb5+ atoms. In the second O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Ag1+ and two Sb5+ atoms. In the third O2- site, O2- is bonded in a 3-coordinate geometry to one Ag1+ and two Sb5+ atoms. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to two Ag1+ and two Sb5+ atoms. In the fifth O2- site, O2- is bonded in a 3-coordinate geometry to one Ag1+ and two Sb5+ atoms. In the sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Ag1+ and two Sb5+ atoms. In the seventh O2- site, O2- is bonded in a 2-coordinate geometry to one Ag1+ and two Sb5+ atoms. In the eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Ag1+ and two Sb5+ atoms. In the ninth O2- site, O2- is bonded in a 3-coordinate geometry to one Ag1+ and two Sb5+ atoms. In the tenth O2- site, O2- is bonded in a 2-coordinate geometry to one Ag1+ and two Sb5+ atoms. In the eleventh O2- site, O2- is bonded in a distorted water-like geometry to two Ag1+ and two Sb5+ atoms. In the twelfth O2- site, O2- is bonded in a distorted T-shaped geometry to one Ag1+ and two Sb5+ atoms. In the thirteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Ag1+ and two Sb5+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Ag1+ and two Sb5+ atoms. In the fifteenth O2- site, O2- is bonded to two Ag1+ and two Sb5+ atoms to form distorted corner-sharing OAg2Sb2 tetrahedra. In the sixteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Ag1+ and two Sb5+ atoms. In the seventeenth O2- site, O2- is bonded in a 3-coordinate geometry to one Ag1+ and two Sb5+ atoms. In the eighteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Ag1+ and two Sb5+ atoms. In the nineteenth O2- site, O2- is bonded in a 2-coordinate geometry to two Ag1+ and two Sb5+ atoms. In the twentieth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two Sb5+ atoms. In the twenty-first O2- site, O2- is bonded in a 3-coordinate geometry to one Ag1+ and two Sb5+ atoms. In the twenty-second O2- site, O2- is bonded in a 3-coordinate geometry to one Ag1+ and two Sb5+ atoms. In the twenty-third O2- site, O2- is bonded in a water-like geometry to two Sb5+ atoms. In the twenty-fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Ag1+ and two Sb5+ atoms. In the twenty-fifth O2- site, O2- is bonded in a distorted water-like geometry to one Ag1+ and two Sb5+ atoms. In the twenty-sixth O2- site, O2- is bonded in a distorted water-like geometry to one Ag1+ and two Sb5+ atoms. In the twenty-seventh O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Ag1+ and two Sb5+ atoms. In the twenty-eighth O2- site, O2- is bonded in a 2-coordinate geometry to two Ag1+ and two Sb5+ atoms. In the twenty-ninth O2- site, O2- is bonded to two Ag1+ and two Sb5+ atoms to form distorted corner-sharing OAg2Sb2 tetrahedra. In the thirtieth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Ag1+ and two Sb5+ atoms. In the thirty-first O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Ag1+ and two Sb5+ atoms. In the thirty-second O2- site, O2- is bonded in a 4-coordinate geometry to two Ag1+ and two Sb5+ atoms. In the thirty-third O2- site, O2- is bonded in a 2-coordinate geometry to two Ag1+ and two Sb5+ atoms. In the thirty-fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Ag1+ and two Sb5+ atoms. In the thirty-fifth O2- site, O2- is bonded in a 2-coordinate geometry to two Ag1+ and two Sb5+ atoms. In the thirty-sixth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two Sb5+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Ce16O27 by Materials Project

Ce16O27 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are thirty-two inequivalent Ce+3.38+ sites. In the first Ce+3.38+ site, Ce+3.38+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ce–O bond distances ranging from 2.25–2.57 Å. In the second Ce+3.38+ site, Ce+3.38+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Ce–O bond distances ranging from 2.37–2.60 Å. In the third Ce+3.38+ site, Ce+3.38+ is bonded to six O2- atoms to form distorted CeO6 octahedra that share a cornercorner with one CeO6 octahedra, corners with two CeO7 pentagonal bipyramids, an edgeedge with one CeO6 octahedra, and edges with two CeO7 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 61°. There are a spread of Ce–O bond distances ranging from 2.25–2.41 Å. In the fourth Ce+3.38+ site, Ce+3.38+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Ce–O bond distances ranging from 2.33–2.46 Å. In the fifth Ce+3.38+ site, Ce+3.38+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Ce–O bond distances ranging from 2.32–2.60 Å. In the sixth Ce+3.38+ site, Ce+3.38+ is bonded to six O2- atoms to form distorted CeO6 octahedra that share corners with three CeO6 octahedra and edges with four CeO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 57–61°. There are a spread of Ce–O bond distances ranging from 2.26–2.41 Å. In the seventh Ce+3.38+ site, Ce+3.38+ is bonded to seven O2- atoms to form distorted CeO7 pentagonal bipyramids that share a cornercorner with one CeO6 octahedra, a cornercorner with one CeO7 pentagonal bipyramid, an edgeedge with one CeO7 hexagonal pyramid, edges with two CeO6 octahedra, and edges with two CeO7 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 52°. There are a spread of Ce–O bond distances ranging from 2.33–2.50 Å. In the eighth Ce+3.38+ site, Ce+3.38+ is bonded to six O2- atoms to form distorted CeO6 octahedra that share a cornercorner with one CeO7 hexagonal pyramid, corners with three CeO6 octahedra, corners with two CeO7 pentagonal bipyramids, and edges with four CeO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 58–59°. There are a spread of Ce–O bond distances ranging from 2.26–2.39 Å. In the ninth Ce+3.38+ site, Ce+3.38+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ce–O bond distances ranging from 2.27–2.51 Å. In the tenth Ce+3.38+ site, Ce+3.38+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Ce–O bond distances ranging from 2.29–2.61 Å. In the eleventh Ce+3.38+ site, Ce+3.38+ is bonded to seven O2- atoms to form distorted CeO7 pentagonal bipyramids that share a cornercorner with one CeO7 hexagonal pyramid, a cornercorner with one CeO6 octahedra, an edgeedge with one CeO6 octahedra, and edges with four CeO7 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 57°. There are a spread of Ce–O bond distances ranging from 2.32–2.48 Å. In the twelfth Ce+3.38+ site, Ce+3.38+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Ce–O bond distances ranging from 2.44–2.54 Å. In the thirteenth Ce+3.38+ site, Ce+3.38+ is bonded to seven O2- atoms to form distorted CeO7 hexagonal pyramids that share corners with two CeO6 octahedra, a cornercorner with one CeO7 pentagonal bipyramid, an edgeedge with one CeO7 hexagonal pyramid, an edgeedge with one CeO6 octahedra, and edges with five CeO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Ce–O bond distances ranging from 2.32–2.48 Å. In the fourteenth Ce+3.38+ site, Ce+3.38+ is bonded to seven O2- atoms to form distorted CeO7 pentagonal bipyramids that share corners with two CeO7 pentagonal bipyramids, an edgeedge with one CeO7 hexagonal pyramid, edges with two CeO6 octahedra, and edges with three CeO7 pentagonal bipyramids. There are a spread of Ce–O bond distances ranging from 2.30–2.51 Å. In the fifteenth Ce+3.38+ site, Ce+3.38+ is bonded to seven O2- atoms to form distorted CeO7 pentagonal bipyramids that share corners with two CeO7 pentagonal bipyramids, edges with three CeO6 octahedra, and edges with three CeO7 pentagonal bipyramids. There are a spread of Ce–O bond distances ranging from 2.32–2.46 Å. In the sixteenth Ce+3.38+ site, Ce+3.38+ is bonded to six O2- atoms to form distorted CeO6 octahedra that share a cornercorner with one CeO7 hexagonal pyramid, corners with two CeO6 octahedra, corners with two CeO7 pentagonal bipyramids, an edgeedge with one CeO6 octahedra, and edges with three CeO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 59–62°. There are a spread of Ce–O bond distances ranging from 2.28–2.44 Å. In the seventeenth Ce+3.38+ site, Ce+3.38+ is bonded to seven O2- atoms to form distorted CeO7 pentagonal bipyramids that share corners with two CeO7 pentagonal bipyramids, an edgeedge with one CeO7 hexagonal pyramid, edges with three CeO6 octahedra, and edges with four CeO7 pentagonal bipyramids. There are a spread of Ce–O bond distances ranging from 2.31–2.44 Å. In the eighteenth Ce+3.38+ site, Ce+3.38+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Ce–O bond distances ranging from 2.34–2.48 Å. In the nineteenth Ce+3.38+ site, Ce+3.38+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Ce–O bond distances ranging from 2.32–2.57 Å. In the twentieth Ce+3.38+ site, Ce+3.38+ is bonded to seven O2- atoms to form distorted CeO7 pentagonal bipyramids that share corners with three CeO6 octahedra, an edgeedge with one CeO6 octahedra, and edges with four CeO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 52–55°. There are a spread of Ce–O bond distances ranging from 2.31–2.50 Å. In the twenty-first Ce+3.38+ site, Ce+3.38+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Ce–O bond distances ranging from 2.32–2.59 Å. In the twenty-second Ce+3.38+ site, Ce+3.38+ is bonded to seven O2- atoms to form distorted CeO7 pentagonal bipyramids that share corners with two CeO6 octahedra, an edgeedge with one CeO6 octahedra, and edges with five CeO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 56–57°. There are a spread of Ce–O bond distances ranging from 2.33–2.55 Å. In the twenty-third Ce+3.38+ site, Ce+3.38+ is bonded to six O2- atoms to form distorted CeO6 octahedra that share corners with two CeO6 octahedra, corners with two CeO7 pentagonal bipyramids, an edgeedge with one CeO6 octahedra, and edges with four CeO7 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 59°. There are a spread of Ce–O bond distances ranging from 2.28–2.38 Å. In the twenty-fourth Ce+3.38+ site, Ce+3.38+ is bonded to six O2- atoms to form distorted CeO6 octahedra that share a cornercorner with one CeO7 hexagonal pyramid, corners with two CeO6 octahedra, a cornercorner with one CeO7 pentagonal bipyramid, an edgeedge with one CeO6 octahedra, and edges with two CeO7 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 57°. There are a spread of Ce–O bond distances ranging from 2.26–2.43 Å. In the twenty-fifth Ce+3.38+ site, Ce+3.38+ is bonded to seven O2- atoms to form distorted CeO7 pentagonal bipyramids that share a cornercorner with one CeO6 octahedra, a cornercorner with one CeO7 pentagonal bipyramid, edges with two CeO7 hexagonal pyramids, edges with three CeO6 octahedra, and edges with two CeO7 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 53°. There are a spread of Ce–O bond distances ranging from 2.32–2.48 Å. In the twenty-sixth Ce+3.38+ site, Ce+3.38+ is bonded to seven O2- atoms to form distorted CeO7 pentagonal bipyramids that share a cornercorner with one CeO6 octahedra, a cornercorner with one CeO7 pentagonal bipyramid, edges with two CeO6 octahedra, and edges with four CeO7 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 51°. There are a spread of Ce–O bond distances ranging from 2.33–2.51 Å. In the twenty-seventh Ce+3.38+ site, Ce+3.38+ is bonded to seven O2- atoms to form distorted CeO7 pentagonal bipyramids that share a cornercorner with one CeO7 hexagonal pyramid, corners with two CeO6 octahedra, an edgeedge with one CeO7 hexagonal pyramid, edges with two CeO6 octahedra, and edges with three CeO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 53–57°. There are a spread of Ce–O bond distances ranging from 2.32–2.58 Å. In the twenty-eighth Ce+3.38+ site, Ce+3.38+ is bonded to seven O2- atoms to form distorted CeO7 pentagonal bipyramids that share a cornercorner with one CeO6 octahedra, a cornercorner with one CeO7 pentagonal bipyramid, an edgeedge with one CeO7 hexagonal pyramid, edges with three CeO6 octahedra, and edges with three CeO7 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 56°. There are a spread of Ce–O bond distances ranging from 2.32–2.50 Å. In the twenty-ninth Ce+3.38+ site, Ce+3.38+ is bonded to seven O2- atoms to form distorted CeO7 hexagonal pyramids that share a cornercorner with one CeO6 octahedra, a cornercorner with one CeO7 pentagonal bipyramid, an edgeedge with one CeO7 hexagonal pyramid, an edgeedge with one CeO6 octahedra, and edges with four CeO7 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 61°. There are a spread of Ce–O bond distances ranging from 2.31–2.58 Å. In the thirtieth Ce+3.38+ site, Ce+3.38+ is bonded to six O2- atoms to form distorted CeO6 octahedra that share corners with two CeO6 octahedra, corners with two CeO7 pentagonal bipyramids, an edgeedge with one CeO7 hexagonal pyramid, and edges with three CeO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 57–60°. There are a spread of Ce–O bond distances ranging from 2.28–2.36 Å. In the thirty-first Ce+3.38+ site, Ce+3.38+ is bonded to six O2- atoms to form distorted CeO6 octahedra that share corners with three CeO6 octahedra, corners with two CeO7 pentagonal bipyramids, an edgeedge with one CeO7 hexagonal pyramid, and edges with four CeO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 58–62°. There are a spread of Ce–O bond distances ranging from 2.29–2.41 Å. In the thirty-second Ce+3.38+ site, Ce+3.38+ is bonded to seven O2- atoms to form distorted CeO7 pentagonal bipyramids that share a cornercorner with one CeO6 octahedra, edges with two CeO7 hexagonal pyramids, edges with three CeO6 octahedra, and edges with three CeO7 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 51°. There are a spread of Ce–O bond distances ranging from 2.35–2.53 Å. There are fifty-four inequivalent O2- sites. In the first O2- site, O2- is bonded to four Ce+3.38+ atoms to form a mixture of edge and corner-sharing OCe4 tetrahedra. In the second O2- site, O2- is bonded to four Ce+3.38+ atoms to form a mixture of distorted edge and corner-sharing OCe4 tetrahedra. In the third O2- site, O2- is bonded to four Ce+3.38+ atoms to form a mixture of distorted edge and corner-sharing OCe4 tetrahedra. In the fourth O2- site, O2- is bonded to four Ce+3.38+ atoms to form a mixture of edge and corner-sharing OCe4 tetrahedra. In the fifth O2- site, O2- is bonded to four Ce+3.38+ atoms to form a mixture of distorted edge and corner-sharing OCe4 tetrahedra. In the sixth O2- site, O2- is bonded to four Ce+3.38+ atoms to form a mixture of edge and corner-sharing OCe4 tetrahedra. In the seventh O2- site, O2- is bonded to four Ce+3.38+ atoms to form a mixture of distorted edge and corner-sharing OCe4 tetrahedra. In the eighth O2- site, O2- is bonded to four Ce+3.38+ atoms to form a mixture of edge and corner-sharing OCe4 tetrahedra. In the ninth O2- site

36 MATERIALS SCIENCE↗