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Materials Data on Pr2Pb17Se20 by Materials Project

Pr2Pb17Se20 crystallizes in the monoclinic C2/m space group. The structure is three-dimensional. Pr3+ is bonded to six Se2- atoms to form PrSe6 octahedra that share corners with six PbSe6 octahedra, edges with two equivalent PrSe6 octahedra, and edges with eight PbSe6 octahedra. The corner-sharing octahedra tilt angles range from 3–7°. There are a spread of Pr–Se bond distances ranging from 2.93–3.09 Å. There are nine inequivalent Pb2+ sites. In the first Pb2+ site, Pb2+ is bonded to six Se2- atoms to form PbSe6 octahedra that share corners with two equivalent PbSe6 octahedra, corners with three equivalent PrSe6 octahedra, edges with three equivalent PrSe6 octahedra, and edges with seven PbSe6 octahedra. The corner-sharing octahedra tilt angles range from 5–7°. There are a spread of Pb–Se bond distances ranging from 3.05–3.20 Å. In the second Pb2+ site, Pb2+ is bonded to six Se2- atoms to form PbSe6 octahedra that share corners with six PbSe6 octahedra, edges with two equivalent PrSe6 octahedra, and edges with ten PbSe6 octahedra. The corner-sharing octahedra tilt angles range from 2–6°. There are a spread of Pb–Se bond distances ranging from 3.02–3.17 Å. In the third Pb2+ site, Pb2+ is bonded to six Se2- atoms to form a mixture of edge and corner-sharing PbSe6 octahedra. The corner-sharing octahedra tilt angles range from 1–6°. There are a spread of Pb–Se bond distances ranging from 3.00–3.21 Å. In the fourth Pb2+ site, Pb2+ is bonded to six Se2- atoms to form PbSe6 octahedra that share a cornercorner with one PrSe6 octahedra, corners with three PbSe6 octahedra, edges with two equivalent PrSe6 octahedra, and edges with nine PbSe6 octahedra. The corner-sharing octahedra tilt angles range from 3–6°. There are a spread of Pb–Se bond distances ranging from 2.93–3.31 Å. In the fifth Pb2+ site, Pb2+ is bonded to six Se2- atoms to form a mixture of edge and corner-sharing PbSe6 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. There are a spread of Pb–Se bond distances ranging from 3.04–3.19 Å. In the sixth Pb2+ site, Pb2+ is bonded to six Se2- atoms to form PbSe6 octahedra that share corners with two equivalent PrSe6 octahedra, corners with four PbSe6 octahedra, an edgeedge with one PrSe6 octahedra, and edges with eleven PbSe6 octahedra. The corner-sharing octahedra tilt angles range from 1–4°. There are a spread of Pb–Se bond distances ranging from 3.03–3.27 Å. In the seventh Pb2+ site, Pb2+ is bonded to six Se2- atoms to form a mixture of edge and corner-sharing PbSe6 octahedra. The corner-sharing octahedral tilt angles are 1°. There are two shorter (3.09 Å) and four longer (3.12 Å) Pb–Se bond lengths. In the eighth Pb2+ site, Pb2+ is bonded to six Se2- atoms to form a mixture of edge and corner-sharing PbSe6 octahedra. The corner-sharing octahedra tilt angles range from 1–3°. There are a spread of Pb–Se bond distances ranging from 3.07–3.13 Å. In the ninth Pb2+ site, Pb2+ is bonded to six Se2- atoms to form a mixture of edge and corner-sharing PbSe6 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. There are a spread of Pb–Se bond distances ranging from 3.04–3.18 Å. There are ten inequivalent Se2- sites. In the first Se2- site, Se2- is bonded in a distorted rectangular see-saw-like geometry to one Pr3+ and three Pb2+ atoms. In the second Se2- site, Se2- is bonded to two equivalent Pr3+ and three equivalent Pb2+ atoms to form distorted SePr2Pb3 square pyramids that share corners with four SePrPb5 octahedra, edges with four SePrPb5 octahedra, and edges with four equivalent SePr2Pb3 square pyramids. The corner-sharing octahedral tilt angles are 6°. In the third Se2- site, Se2- is bonded to one Pr3+ and five Pb2+ atoms to form distorted SePrPb5 octahedra that share corners with three SePr2Pb4 octahedra, corners with two equivalent SePr2Pb3 square pyramids, edges with seven SePrPb5 octahedra, and edges with three equivalent SePr2Pb3 square pyramids. The corner-sharing octahedra tilt angles range from 3–5°. In the fourth Se2- site, Se2- is bonded to six Pb2+ atoms to form SePb6 octahedra that share corners with four SePb6 octahedra and edges with eleven SePrPb5 octahedra. The corner-sharing octahedra tilt angles range from 1–4°. In the fifth Se2- site, Se2- is bonded to six Pb2+ atoms to form a mixture of edge and corner-sharing SePb6 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the sixth Se2- site, Se2- is bonded to two equivalent Pr3+ and four Pb2+ atoms to form distorted SePr2Pb4 octahedra that share corners with four SePrPb5 octahedra, corners with two equivalent SePr2Pb3 square pyramids, edges with nine SePrPb5 octahedra, and an edgeedge with one SePr2Pb3 square pyramid. The corner-sharing octahedra tilt angles range from 1–4°. In the seventh Se2- site, Se2- is bonded to six Pb2+ atoms to form a mixture of edge and corner-sharing SePb6 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. In the eighth Se2- site, Se2- is bonded to six Pb2+ atoms to form a mixture of edge and corner-sharing SePb6 octahedra. The corner-sharing octahedra tilt angles range from 1–5°. In the ninth Se2- site, Se2- is bonded to six Pb2+ atoms to form a mixture of edge and corner-sharing SePb6 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the tenth Se2- site, Se2- is bonded to six Pb2+ atoms to form a mixture of edge and corner-sharing SePb6 octahedra. The corner-sharing octahedra tilt angles range from 0–3°.

36 MATERIALS SCIENCE↗

Materials Data on NdTh9O20 by Materials Project

Th9NdO20 is Fluorite-derived structured and crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are five inequivalent Th sites. In the first Th site, Th is bonded in a body-centered cubic geometry to eight O atoms. There are a spread of Th–O bond distances ranging from 2.41–2.44 Å. In the second Th site, Th is bonded in a body-centered cubic geometry to eight O atoms. There are a spread of Th–O bond distances ranging from 2.40–2.44 Å. In the third Th site, Th is bonded in a body-centered cubic geometry to eight O atoms. There are a spread of Th–O bond distances ranging from 2.41–2.45 Å. In the fourth Th site, Th is bonded in a body-centered cubic geometry to eight O atoms. There are a spread of Th–O bond distances ranging from 2.41–2.45 Å. In the fifth Th site, Th is bonded in a body-centered cubic geometry to eight O atoms. There are four shorter (2.42 Å) and four longer (2.44 Å) Th–O bond lengths. Nd is bonded in a body-centered cubic geometry to eight O atoms. All Nd–O bond lengths are 2.48 Å. There are ten inequivalent O sites. In the first O site, O is bonded to four Th atoms to form a mixture of edge and corner-sharing OTh4 tetrahedra. In the second O site, O is bonded to four Th atoms to form a mixture of edge and corner-sharing OTh4 tetrahedra. In the third O site, O is bonded to three Th and one Nd atom to form a mixture of edge and corner-sharing ONdTh3 tetrahedra. In the fourth O site, O is bonded to three Th and one Nd atom to form a mixture of edge and corner-sharing ONdTh3 tetrahedra. In the fifth O site, O is bonded to four Th atoms to form a mixture of edge and corner-sharing OTh4 tetrahedra. In the sixth O site, O is bonded to four Th atoms to form a mixture of edge and corner-sharing OTh4 tetrahedra. In the seventh O site, O is bonded to three Th and one Nd atom to form a mixture of edge and corner-sharing ONdTh3 tetrahedra. In the eighth O site, O is bonded to four Th atoms to form a mixture of edge and corner-sharing OTh4 tetrahedra. In the ninth O site, O is bonded to three Th and one Nd atom to form a mixture of edge and corner-sharing ONdTh3 tetrahedra. In the tenth O site, O is bonded to four Th atoms to form a mixture of edge and corner-sharing OTh4 tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on Y3U2O10 by Materials Project

U2Y3O10 is alpha bismuth trifluoride-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are two inequivalent U+5.50+ sites. In the first U+5.50+ site, U+5.50+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of U–O bond distances ranging from 2.16–2.41 Å. In the second U+5.50+ site, U+5.50+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of U–O bond distances ranging from 2.16–2.41 Å. There are three inequivalent Y3+ sites. In the first Y3+ site, Y3+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Y–O bond distances ranging from 2.34–2.38 Å. In the second Y3+ site, Y3+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are six shorter (2.37 Å) and two longer (2.38 Å) Y–O bond lengths. In the third Y3+ site, Y3+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Y–O bond distances ranging from 2.34–2.39 Å. There are ten inequivalent O2- sites. In the first O2- site, O2- is bonded to one U+5.50+ and three Y3+ atoms to form a mixture of corner and edge-sharing OY3U tetrahedra. In the second O2- site, O2- is bonded to one U+5.50+ and three Y3+ atoms to form a mixture of corner and edge-sharing OY3U tetrahedra. In the third O2- site, O2- is bonded to one U+5.50+ and three Y3+ atoms to form a mixture of corner and edge-sharing OY3U tetrahedra. In the fourth O2- site, O2- is bonded to two U+5.50+ and two Y3+ atoms to form a mixture of corner and edge-sharing OY2U2 tetrahedra. In the fifth O2- site, O2- is bonded to one U+5.50+ and three Y3+ atoms to form a mixture of corner and edge-sharing OY3U tetrahedra. In the sixth O2- site, O2- is bonded to two U+5.50+ and two Y3+ atoms to form a mixture of corner and edge-sharing OY2U2 tetrahedra. In the seventh O2- site, O2- is bonded to two U+5.50+ and two Y3+ atoms to form a mixture of corner and edge-sharing OY2U2 tetrahedra. In the eighth O2- site, O2- is bonded to two U+5.50+ and two Y3+ atoms to form a mixture of corner and edge-sharing OY2U2 tetrahedra. In the ninth O2- site, O2- is bonded to two U+5.50+ and two Y3+ atoms to form a mixture of corner and edge-sharing OY2U2 tetrahedra. In the tenth O2- site, O2- is bonded to two U+5.50+ and two Y3+ atoms to form a mixture of corner and edge-sharing OY2U2 tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on Cr3GaS6 by Materials Project

Cr3GaS6 is beta indium sulfide-derived structured and crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are twenty-seven inequivalent Cr3+ sites. In the first Cr3+ site, Cr3+ is bonded to six S2- atoms to form CrS6 octahedra that share a cornercorner with one GaS4 tetrahedra and edges with six CrS6 octahedra. There are a spread of Cr–S bond distances ranging from 2.33–2.48 Å. In the second Cr3+ site, Cr3+ is bonded to six S2- atoms to form edge-sharing CrS6 octahedra. There are three shorter (2.37 Å) and three longer (2.43 Å) Cr–S bond lengths. In the third Cr3+ site, Cr3+ is bonded to six S2- atoms to form CrS6 octahedra that share corners with three GaS4 tetrahedra and edges with six CrS6 octahedra. There are a spread of Cr–S bond distances ranging from 2.32–2.49 Å. In the fourth Cr3+ site, Cr3+ is bonded to six S2- atoms to form CrS6 octahedra that share a cornercorner with one GaS4 tetrahedra and edges with six CrS6 octahedra. There are a spread of Cr–S bond distances ranging from 2.33–2.48 Å. In the fifth Cr3+ site, Cr3+ is bonded to six S2- atoms to form CrS6 octahedra that share corners with three equivalent GaS4 tetrahedra and edges with six CrS6 octahedra. There are three shorter (2.28 Å) and three longer (2.54 Å) Cr–S bond lengths. In the sixth Cr3+ site, Cr3+ is bonded to six S2- atoms to form CrS6 octahedra that share corners with five GaS4 tetrahedra and edges with six CrS6 octahedra. There are a spread of Cr–S bond distances ranging from 2.35–2.45 Å. In the seventh Cr3+ site, Cr3+ is bonded to six S2- atoms to form CrS6 octahedra that share corners with three GaS4 tetrahedra and edges with six CrS6 octahedra. There are a spread of Cr–S bond distances ranging from 2.32–2.49 Å. In the eighth Cr3+ site, Cr3+ is bonded to six S2- atoms to form CrS6 octahedra that share corners with three equivalent GaS4 tetrahedra and edges with six CrS6 octahedra. There are three shorter (2.30 Å) and three longer (2.50 Å) Cr–S bond lengths. In the ninth Cr3+ site, Cr3+ is bonded to six S2- atoms to form CrS6 octahedra that share corners with six GaS4 tetrahedra and edges with six CrS6 octahedra. There are three shorter (2.39 Å) and three longer (2.40 Å) Cr–S bond lengths. In the tenth Cr3+ site, Cr3+ is bonded to six S2- atoms to form CrS6 octahedra that share corners with five GaS4 tetrahedra and edges with six CrS6 octahedra. There are a spread of Cr–S bond distances ranging from 2.35–2.45 Å. In the eleventh Cr3+ site, Cr3+ is bonded to six S2- atoms to form CrS6 octahedra that share corners with six GaS4 tetrahedra and edges with six CrS6 octahedra. All Cr–S bond lengths are 2.39 Å. In the twelfth Cr3+ site, Cr3+ is bonded to six S2- atoms to form CrS6 octahedra that share corners with six GaS4 tetrahedra and edges with six CrS6 octahedra. There are five shorter (2.39 Å) and one longer (2.40 Å) Cr–S bond lengths. In the thirteenth Cr3+ site, Cr3+ is bonded to six S2- atoms to form CrS6 octahedra that share corners with six GaS4 tetrahedra and edges with six CrS6 octahedra. There are three shorter (2.39 Å) and three longer (2.40 Å) Cr–S bond lengths. In the fourteenth Cr3+ site, Cr3+ is bonded to six S2- atoms to form CrS6 octahedra that share corners with six GaS4 tetrahedra and edges with six CrS6 octahedra. All Cr–S bond lengths are 2.39 Å. In the fifteenth Cr3+ site, Cr3+ is bonded to six S2- atoms to form CrS6 octahedra that share corners with six GaS4 tetrahedra and edges with six CrS6 octahedra. There are three shorter (2.39 Å) and three longer (2.40 Å) Cr–S bond lengths. In the sixteenth Cr3+ site, Cr3+ is bonded to six S2- atoms to form CrS6 octahedra that share corners with six GaS4 tetrahedra and edges with six CrS6 octahedra. There are five shorter (2.39 Å) and one longer (2.40 Å) Cr–S bond lengths. In the seventeenth Cr3+ site, Cr3+ is bonded to six S2- atoms to form CrS6 octahedra that share corners with six GaS4 tetrahedra and edges with six CrS6 octahedra. All Cr–S bond lengths are 2.40 Å. In the eighteenth Cr3+ site, Cr3+ is bonded to six S2- atoms to form CrS6 octahedra that share corners with four GaS4 tetrahedra and edges with six CrS6 octahedra. There are a spread of Cr–S bond distances ranging from 2.32–2.47 Å. In the nineteenth Cr3+ site, Cr3+ is bonded to six S2- atoms to form CrS6 octahedra that share corners with six GaS4 tetrahedra and edges with six CrS6 octahedra. There are three shorter (2.39 Å) and three longer (2.40 Å) Cr–S bond lengths. In the twentieth Cr3+ site, Cr3+ is bonded to six S2- atoms to form CrS6 octahedra that share corners with six GaS4 tetrahedra and edges with six CrS6 octahedra. There are three shorter (2.38 Å) and three longer (2.41 Å) Cr–S bond lengths. In the twenty-first Cr3+ site, Cr3+ is bonded to six S2- atoms to form CrS6 octahedra that share corners with three GaS4 tetrahedra and edges with six CrS6 octahedra. There are a spread of Cr–S bond distances ranging from 2.31–2.51 Å. In the twenty-second Cr3+ site, Cr3+ is bonded to six S2- atoms to form CrS6 octahedra that share corners with four GaS4 tetrahedra and edges with six CrS6 octahedra. There are a spread of Cr–S bond distances ranging from 2.32–2.47 Å. In the twenty-third Cr3+ site, Cr3+ is bonded to six S2- atoms to form CrS6 octahedra that share corners with three equivalent GaS4 tetrahedra and edges with six CrS6 octahedra. There are a spread of Cr–S bond distances ranging from 2.35–2.45 Å. In the twenty-fourth Cr3+ site, Cr3+ is bonded to six S2- atoms to form CrS6 octahedra that share corners with two equivalent GaS4 tetrahedra and edges with six CrS6 octahedra. There are a spread of Cr–S bond distances ranging from 2.31–2.50 Å. In the twenty-fifth Cr3+ site, Cr3+ is bonded to six S2- atoms to form CrS6 octahedra that share corners with three GaS4 tetrahedra and edges with six CrS6 octahedra. There are three shorter (2.34 Å) and three longer (2.49 Å) Cr–S bond lengths. In the twenty-sixth Cr3+ site, Cr3+ is bonded to six S2- atoms to form CrS6 octahedra that share corners with three equivalent GaS4 tetrahedra and edges with six CrS6 octahedra. There are a spread of Cr–S bond distances ranging from 2.32–2.50 Å. In the twenty-seventh Cr3+ site, Cr3+ is bonded to six S2- atoms to form CrS6 octahedra that share corners with two equivalent GaS4 tetrahedra and edges with six CrS6 octahedra. There are a spread of Cr–S bond distances ranging from 2.31–2.50 Å. There are twelve inequivalent Ga3+ sites. In the first Ga3+ site, Ga3+ is bonded to four S2- atoms to form GaS4 tetrahedra that share corners with twelve CrS6 octahedra. The corner-sharing octahedra tilt angles range from 58–62°. There are a spread of Ga–S bond distances ranging from 2.32–2.34 Å. In the second Ga3+ site, Ga3+ is bonded to four S2- atoms to form GaS4 tetrahedra that share corners with twelve CrS6 octahedra. The corner-sharing octahedra tilt angles range from 58–62°. There are one shorter (2.29 Å) and three longer (2.34 Å) Ga–S bond lengths. In the third Ga3+ site, Ga3+ is bonded to four S2- atoms to form GaS4 tetrahedra that share corners with twelve CrS6 octahedra. The corner-sharing octahedra tilt angles range from 57–58°. There are three shorter (2.33 Å) and one longer (2.34 Å) Ga–S bond lengths. In the fourth Ga3+ site, Ga3+ is bonded to four S2- atoms to form GaS4 tetrahedra that share corners with twelve CrS6 octahedra. The corner-sharing octahedral tilt angles are 58°. There are a spread of Ga–S bond distances ranging from 2.31–2.34 Å. In the fifth Ga3+ site, Ga3+ is bonded to four S2- atoms to form GaS4 tetrahedra that share corners with twelve CrS6 octahedra. The corner-sharing octahedral tilt angles are 58°. All Ga–S bond lengths are 2.33 Å. In the sixth Ga3+ site, Ga3+ is bonded to four S2- atoms to form GaS4 tetrahedra that share corners with twelve CrS6 octahedra. The corner-sharing octahedral tilt angles are 58°. All Ga–S bond lengths are 2.33 Å. In the seventh Ga3+ site, Ga3+ is bonded to four S2- atoms to form GaS4 tetrahedra that share corners with twelve CrS6 octahedra. The corner-sharing octahedral tilt angles are 58°. There are three shorter (2.33 Å) and one longer (2.34 Å) Ga–S bond lengths. In the eighth Ga3+ site, Ga3+ is bonded to four S2- atoms to form GaS4 tetrahedra that share corners with twelve CrS6 octahedra. The corner-sharing octahedra tilt angles range from 56–59°. There are one shorter (2.30 Å) and three longer (2.34 Å) Ga–S bond lengths. In the ninth Ga3+ site, Ga3+ is bonded to four S2- atoms to form GaS4 tetrahedra that share corners with twelve CrS6 octahedra. The corner-sharing octahedral tilt angles are 58°. All Ga–S bond lengths are 2.33 Å. In the tenth Ga3+ site, Ga3+ is bonded to four S2- atoms to form GaS4 tetrahedra that share corners with twelve CrS6 octahedra. The corner-sharing octahedra tilt angles range from 57–60°. There are three shorter (2.31 Å) and one longer (2.36 Å) Ga–S bond lengths. In the eleventh Ga3+ site, Ga3+ is bonded to four S2- atoms to form GaS4 tetrahedra that share corners with twelve CrS6 octahedra. The corner-sharing octahedra tilt angles range from 59–62°. There are a spread of Ga–S bond distances ranging from 2.31–2.36 Å. In the twelfth Ga3+ site, Ga3+ is bonded to four S2- atoms to form GaS4 tetrahedra that share corners with twelve CrS6 octahedra. The corner-sharing octahedra tilt angles range from 60–61°. There are three shorter (2.33 Å) and one longer (2.34 Å) Ga–S bond lengths. There are fifty-four inequivalent S2- sites. In the first S2- site, S2- is bonded in a distorted T-shaped geometry to three Cr3+ atoms. In the second S2- site, S2- is bonded to three Cr3+ and one Ga3+ atom to form distorted corner-sharing SCr3Ga trigonal pyramids. In the third S2- site, S2- is bonded in a distorted T-shaped geometry to three Cr3+ atoms. In the fourth S2- site, S2- is bonded to three Cr3+ and one Ga3+ atom to form a mixture of distorted edge and corner-sharing SCr3Ga tetrahedra. In the fifth S2- site, S2- is bonded in a distorted T-shaped geometry to three Cr3+ atoms. In the sixth S2- site, S2- is bonded in a distorted T-shaped geometry to three Cr3+ atoms. In the seventh S2- site, S2- is bonded to three Cr3+ and one Ga3+ atom to form a mixture of distorted edge and corner-sharing SCr3Ga tetrahedra. In the eighth S2- site, S2- is bonded to three Cr3+ and one Ga3+ atom to form a mixture of distorted edge and corner-sharing SCr3Ga tetrahedra. In the ninth S2- site, S2- is bonded in a distorted T-shaped geometry to three Cr3+ atoms. In the tenth S2- site, S2- is bonded to three Cr3+ and one Ga3+ atom to form a mixture of distorted edge and corner-sharing SCr3Ga trigonal pyramids. In the eleventh S2- site, S2- is bonded in a distorted T-shaped geometry to three Cr3+ atoms. In the twelfth S2- site, S2- is bonded to three Cr3+ and one Ga3+ atom to form a mixture of distorted edge and corner-sharing SCr3Ga trigonal pyramids. In the thirteenth S2- site, S2- is bonded to three Cr3+ and one Ga3+ atom to form a mixture of distorted edge and corner-sharing SCr3Ga trigonal pyramids. In the fourteenth S2- site, S2- is bonded in a distorted T-shaped geometry to three Cr3+ atoms. In the fifteenth S2- site, S2- is bonded in a distorted T-shaped geometry to three Cr3+ atoms. In the sixteenth S2- site, S2- is bonded to three Cr3+ and one Ga3+ atom to form a mixture of distorted edge and corner-sharing SCr3Ga trigonal pyramids. In the seventeenth S2- site, S2- is bonded to three Cr3+ and one Ga3+ atom to form a mixture of distorted edge and corner-sharing SCr3Ga trigonal pyramids. In the eighteenth S2- site, S2- is bonded to three Cr3+ and one Ga3+ atom to form a mixture of distorted edge and corner-sharing SCr3Ga trigonal pyramids. In the nineteenth S2- site, S2- is bonded in a distorted T-shaped geometry to three Cr3+ atoms. In the twentieth S2- site, S2- is bonded to three Cr3+ and one Ga3+ atom to form a mixture of distorted edge and corner-sharing SCr3Ga trigonal pyramids. In the twenty-first S2- site,

36 MATERIALS SCIENCE↗

Materials Data on Co23O32 by Materials Project

Co23O32 is beta indium sulfide-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twenty-three inequivalent Co+2.78+ sites. In the first Co+2.78+ site, Co+2.78+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with five CoO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.89–2.05 Å. In the second Co+2.78+ site, Co+2.78+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six CoO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.91–2.08 Å. In the third Co+2.78+ site, Co+2.78+ is bonded to four O2- atoms to form corner-sharing CoO4 tetrahedra. The corner-sharing octahedra tilt angles range from 52–65°. There are a spread of Co–O bond distances ranging from 1.93–1.97 Å. In the fourth Co+2.78+ site, Co+2.78+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with five CoO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.90–1.95 Å. In the fifth Co+2.78+ site, Co+2.78+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six CoO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.91–1.95 Å. In the sixth Co+2.78+ site, Co+2.78+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with five CoO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.90–1.96 Å. In the seventh Co+2.78+ site, Co+2.78+ is bonded to four O2- atoms to form corner-sharing CoO4 tetrahedra. The corner-sharing octahedra tilt angles range from 54–65°. There is one shorter (1.95 Å) and three longer (1.96 Å) Co–O bond length. In the eighth Co+2.78+ site, Co+2.78+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with five CoO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.89–1.94 Å. In the ninth Co+2.78+ site, Co+2.78+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with five CoO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.90–2.05 Å. In the tenth Co+2.78+ site, Co+2.78+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six CoO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Co–O bond distances ranging from 2.03–2.12 Å. In the eleventh Co+2.78+ site, Co+2.78+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with five CoO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.92–2.08 Å. In the twelfth Co+2.78+ site, Co+2.78+ is bonded to four O2- atoms to form corner-sharing CoO4 tetrahedra. The corner-sharing octahedra tilt angles range from 55–62°. There are a spread of Co–O bond distances ranging from 1.93–1.99 Å. In the thirteenth Co+2.78+ site, Co+2.78+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with five CoO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.97–2.13 Å. In the fourteenth Co+2.78+ site, Co+2.78+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with five CoO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.91–1.96 Å. In the fifteenth Co+2.78+ site, Co+2.78+ is bonded to four O2- atoms to form corner-sharing CoO4 tetrahedra. The corner-sharing octahedra tilt angles range from 55–64°. There are a spread of Co–O bond distances ranging from 1.94–1.97 Å. In the sixteenth Co+2.78+ site, Co+2.78+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with five CoO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.85–1.96 Å. In the seventeenth Co+2.78+ site, Co+2.78+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with five CoO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.86–1.99 Å. In the eighteenth Co+2.78+ site, Co+2.78+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six CoO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.91–1.94 Å. In the nineteenth Co+2.78+ site, Co+2.78+ is bonded to four O2- atoms to form corner-sharing CoO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–62°. There are a spread of Co–O bond distances ranging from 1.92–1.99 Å. In the twentieth Co+2.78+ site, Co+2.78+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with five CoO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.90–1.96 Å. In the twenty-first Co+2.78+ site, Co+2.78+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with five CoO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.91–1.98 Å. In the twenty-second Co+2.78+ site, Co+2.78+ is bonded to four O2- atoms to form corner-sharing CoO4 tetrahedra. The corner-sharing octahedra tilt angles range from 55–65°. There are a spread of Co–O bond distances ranging from 1.95–2.00 Å. In the twenty-third Co+2.78+ site, Co+2.78+ is bonded to four O2- atoms to form corner-sharing CoO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–62°. There are a spread of Co–O bond distances ranging from 1.93–1.97 Å. There are thirty-two inequivalent O2- sites. In the first O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Co+2.78+ atoms. In the second O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Co+2.78+ atoms. In the third O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Co+2.78+ atoms. In the fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Co+2.78+ atoms. In the fifth O2- site, O2- is bonded to four Co+2.78+ atoms to form a mixture of distorted edge and corner-sharing OCo4 trigonal pyramids. In the sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Co+2.78+ atoms. In the seventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Co+2.78+ atoms. In the eighth O2- site, O2- is bonded to four Co+2.78+ atoms to form a mixture of distorted edge and corner-sharing OCo4 tetrahedra. In the ninth O2- site, O2- is bonded to four Co+2.78+ atoms to form a mixture of distorted edge and corner-sharing OCo4 tetrahedra. In the tenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Co+2.78+ atoms. In the eleventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Co+2.78+ atoms. In the twelfth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Co+2.78+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Co+2.78+ atoms. In the fourteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Co+2.78+ atoms. In the fifteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Co+2.78+ atoms. In the sixteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Co+2.78+ atoms. In the seventeenth O2- site, O2- is bonded to four Co+2.78+ atoms to form a mixture of distorted edge and corner-sharing OCo4 trigonal pyramids. In the eighteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Co+2.78+ atoms. In the nineteenth O2- site, O2- is bonded to four Co+2.78+ atoms to form a mixture of distorted edge and corner-sharing OCo4 tetrahedra. In the twentieth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Co+2.78+ atoms. In the twenty-first O2- site, O2- is bonded to four Co+2.78+ atoms to form a mixture of distorted edge and corner-sharing OCo4 trigonal pyramids. In the twenty-second O2- site, O2- is bonded to four Co+2.78+ atoms to form a mixture of distorted edge and corner-sharing OCo4 tetrahedra. In the twenty-third O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Co+2.78+ atoms. In the twenty-fourth O2- site, O2- is bonded to four Co+2.78+ atoms to form a mixture of distorted edge and corner-sharing OCo4 trigonal pyramids. In the twenty-fifth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Co+2.78+ atoms. In the twenty-sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Co+2.78+ atoms. In the twenty-seventh O2- site, O2- is bonded to four Co+2.78+ atoms to form a mixture of distorted edge and corner-sharing OCo4 trigonal pyramids. In the twenty-eighth O2- site, O2- is bonded to four Co+2.78+ atoms to form a mixture of distorted edge and corner-sharing OCo4 trigonal pyramids. In the twenty-ninth O2- site, O2- is bonded to four Co+2.78+ atoms to form distorted corner-sharing OCo4 trigonal pyramids. In the thirtieth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Co+2.78+ atoms. In the thirty-first O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Co+2.78+ atoms. In the thirty-second O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Co+2.78+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Sr20FeCo9(MoO6)10 by Materials Project

Sr20FeCo9(MoO6)10 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are ten inequivalent Sr sites. In the first Sr site, Sr is bonded to twelve O atoms to form distorted SrO12 cuboctahedra that share corners with twelve SrO12 cuboctahedra, faces with six SrO12 cuboctahedra, a faceface with one FeO6 octahedra, faces with three CoO6 octahedra, and faces with four MoO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.63–3.04 Å. In the second Sr site, Sr is bonded to twelve O atoms to form distorted SrO12 cuboctahedra that share corners with twelve SrO12 cuboctahedra, faces with six SrO12 cuboctahedra, faces with four MoO6 octahedra, and faces with four CoO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.63–3.06 Å. In the third Sr site, Sr is bonded to twelve O atoms to form distorted SrO12 cuboctahedra that share corners with twelve SrO12 cuboctahedra, faces with six SrO12 cuboctahedra, faces with four MoO6 octahedra, and faces with four CoO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.65–3.06 Å. In the fourth Sr site, Sr is bonded to twelve O atoms to form distorted SrO12 cuboctahedra that share corners with twelve SrO12 cuboctahedra, faces with six SrO12 cuboctahedra, a faceface with one FeO6 octahedra, faces with three CoO6 octahedra, and faces with four MoO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.64–3.05 Å. In the fifth Sr site, Sr is bonded to twelve O atoms to form distorted SrO12 cuboctahedra that share corners with twelve SrO12 cuboctahedra, faces with six SrO12 cuboctahedra, a faceface with one FeO6 octahedra, faces with three CoO6 octahedra, and faces with four MoO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.63–3.05 Å. In the sixth Sr site, Sr is bonded to twelve O atoms to form distorted SrO12 cuboctahedra that share corners with twelve SrO12 cuboctahedra, faces with six SrO12 cuboctahedra, faces with four MoO6 octahedra, and faces with four CoO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.62–3.05 Å. In the seventh Sr site, Sr is bonded to twelve O atoms to form distorted SrO12 cuboctahedra that share corners with twelve SrO12 cuboctahedra, faces with six SrO12 cuboctahedra, faces with four MoO6 octahedra, and faces with four CoO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.63–3.05 Å. In the eighth Sr site, Sr is bonded to twelve O atoms to form distorted SrO12 cuboctahedra that share corners with twelve SrO12 cuboctahedra, faces with six SrO12 cuboctahedra, faces with four MoO6 octahedra, and faces with four CoO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.64–3.06 Å. In the ninth Sr site, Sr is bonded to twelve O atoms to form distorted SrO12 cuboctahedra that share corners with twelve SrO12 cuboctahedra, faces with six SrO12 cuboctahedra, faces with four MoO6 octahedra, and faces with four CoO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.66–3.05 Å. In the tenth Sr site, Sr is bonded to twelve O atoms to form distorted SrO12 cuboctahedra that share corners with twelve SrO12 cuboctahedra, faces with six SrO12 cuboctahedra, a faceface with one FeO6 octahedra, faces with three CoO6 octahedra, and faces with four MoO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.64–3.03 Å. There are five inequivalent Mo sites. In the first Mo site, Mo is bonded to six O atoms to form MoO6 octahedra that share a cornercorner with one FeO6 octahedra, corners with five CoO6 octahedra, and faces with eight SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–17°. There are a spread of Mo–O bond distances ranging from 1.93–1.99 Å. In the second Mo site, Mo is bonded to six O atoms to form MoO6 octahedra that share corners with six CoO6 octahedra and faces with eight SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–16°. There are a spread of Mo–O bond distances ranging from 1.93–1.96 Å. In the third Mo site, Mo is bonded to six O atoms to form MoO6 octahedra that share corners with six CoO6 octahedra and faces with eight SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–16°. There are a spread of Mo–O bond distances ranging from 1.93–1.96 Å. In the fourth Mo site, Mo is bonded to six O atoms to form MoO6 octahedra that share a cornercorner with one FeO6 octahedra, corners with five CoO6 octahedra, and faces with eight SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–16°. There are a spread of Mo–O bond distances ranging from 1.94–2.03 Å. In the fifth Mo site, Mo is bonded to six O atoms to form MoO6 octahedra that share a cornercorner with one FeO6 octahedra, corners with five CoO6 octahedra, and faces with eight SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–17°. There are a spread of Mo–O bond distances ranging from 1.93–1.98 Å. Fe is bonded to six O atoms to form FeO6 octahedra that share corners with six MoO6 octahedra and faces with eight SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–15°. There are two shorter (2.02 Å) and four longer (2.05 Å) Fe–O bond lengths. There are five inequivalent Co sites. In the first Co site, Co is bonded to six O atoms to form CoO6 octahedra that share corners with six MoO6 octahedra and faces with eight SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–17°. There are a spread of Co–O bond distances ranging from 2.05–2.10 Å. In the second Co site, Co is bonded to six O atoms to form CoO6 octahedra that share corners with six MoO6 octahedra and faces with eight SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–16°. There are a spread of Co–O bond distances ranging from 2.07–2.10 Å. In the third Co site, Co is bonded to six O atoms to form CoO6 octahedra that share corners with six MoO6 octahedra and faces with eight SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–16°. There are a spread of Co–O bond distances ranging from 2.07–2.10 Å. In the fourth Co site, Co is bonded to six O atoms to form CoO6 octahedra that share corners with six MoO6 octahedra and faces with eight SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–17°. There are two shorter (2.07 Å) and four longer (2.09 Å) Co–O bond lengths. In the fifth Co site, Co is bonded to six O atoms to form CoO6 octahedra that share corners with six MoO6 octahedra and faces with eight SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–16°. There are a spread of Co–O bond distances ranging from 2.05–2.11 Å. There are thirty inequivalent O sites. In the first O site, O is bonded to four Sr, one Mo, and one Co atom to form a mixture of distorted edge and corner-sharing OSr4CoMo octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the second O site, O is bonded to four Sr, one Mo, and one Co atom to form a mixture of distorted edge and corner-sharing OSr4CoMo octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the third O site, O is bonded to four Sr, one Mo, and one Co atom to form a mixture of distorted edge and corner-sharing OSr4CoMo octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the fourth O site, O is bonded to four Sr, one Mo, and one Co atom to form a mixture of distorted edge and corner-sharing OSr4CoMo octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the fifth O site, O is bonded to four Sr, one Mo, and one Fe atom to form a mixture of distorted edge and corner-sharing OSr4FeMo octahedra. The corner-sharing octahedra tilt angles range from 0–2°. In the sixth O site, O is bonded in a 6-coordinate geometry to four Sr, one Mo, and one Co atom. In the seventh O site, O is bonded in a 6-coordinate geometry to four Sr, one Mo, and one Co atom. In the eighth O site, O is bonded in a 6-coordinate geometry to four Sr, one Mo, and one Co atom. In the ninth O site, O is bonded in a 6-coordinate geometry to four Sr, one Mo, and one Co atom. In the tenth O site, O is bonded in a 6-coordinate geometry to four Sr, one Mo, and one Fe atom. In the eleventh O site, O is bonded in a 6-coordinate geometry to four Sr, one Mo, and one Fe atom. In the twelfth O site, O is bonded in a 6-coordinate geometry to four Sr, one Mo, and one Co atom. In the thirteenth O site, O is bonded in a 6-coordinate geometry to four Sr, one Mo, and one Co atom. In the fourteenth O site, O is bonded in a 6-coordinate geometry to four Sr, one Mo, and one Co atom. In the fifteenth O site, O is bonded in a 6-coordinate geometry to four Sr, one Mo, and one Co atom. In the sixteenth O site, O is bonded to four Sr, one Mo, and one Co atom to form a mixture of distorted edge and corner-sharing OSr4CoMo octahedra. The corner-sharing octahedra tilt angles range from 0–2°. In the seventeenth O site, O is bonded to four Sr, one Mo, and one Co atom to form a mixture of distorted edge and corner-sharing OSr4CoMo octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the eighteenth O site, O is bonded to four Sr, one Mo, and one Co atom to form a mixture of distorted edge and corner-sharing OSr4CoMo octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the nineteenth O site, O is bonded to four Sr, one Mo, and one Co atom to form a mixture of distorted edge and corner-sharing OSr4CoMo octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the twentieth O site, O is bonded to four Sr, one Mo, and one Co atom to form a mixture of distorted edge and corner-sharing OSr4CoMo octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the twenty-first O site, O is bonded in a 6-coordinate geometry to four Sr, one Mo, and one Co atom. In the twenty-second O site, O is bonded in a 6-coordinate geometry to four Sr, one Mo, and one Co atom. In the twenty-third O site, O is bonded in a 6-coordinate geometry to four Sr, one Mo, and one Co atom. In the twenty-fourth O site, O is bonded in a 6-coordinate geometry to four Sr, one Mo, and one Co atom. In the twenty-fifth O site, O is bonded in a 6-coordinate geometry to four Sr, one Mo, and one Co atom. In the twenty-sixth O site, O is bonded in a 6-coordinate geometry to four Sr, one Mo, and one Co atom. In the twenty-seventh O site, O is bonded in a 6-coordinate geometry to four Sr, one Mo, and one Co atom. In the twenty-eighth O site, O is bonded in a 6-coordinate geometry to four Sr, one Mo, and one Co atom. In the twenty-ninth O site, O is bonded in a 6-coordinate geometry to four Sr, one Mo, and one Co atom. In the thirtieth O site, O is bonded in a 6-coordinate geometry to four Sr, one Mo, and one Co atom.

36 MATERIALS SCIENCE↗

Materials Data on YbV4O8 by Materials Project

YbV4O8 is Ilmenite-like structured and crystallizes in the monoclinic P2_1/c space group. The structure is three-dimensional. Yb2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Yb–O bond distances ranging from 2.34–2.52 Å. There are four inequivalent V+3.50+ sites. In the first V+3.50+ site, V+3.50+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing VO6 octahedra. The corner-sharing octahedra tilt angles range from 46–63°. There are a spread of V–O bond distances ranging from 2.00–2.11 Å. In the second V+3.50+ site, V+3.50+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing VO6 octahedra. The corner-sharing octahedra tilt angles range from 49–63°. There are a spread of V–O bond distances ranging from 2.00–2.06 Å. In the third V+3.50+ site, V+3.50+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing VO6 octahedra. The corner-sharing octahedra tilt angles range from 47–50°. There are a spread of V–O bond distances ranging from 1.90–2.03 Å. In the fourth V+3.50+ site, V+3.50+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing VO6 octahedra. The corner-sharing octahedra tilt angles range from 46–58°. There are a spread of V–O bond distances ranging from 1.92–2.03 Å. There are eight inequivalent O2- sites. In the first O2- site, O2- is bonded to one Yb2+ and three V+3.50+ atoms to form a mixture of distorted edge and corner-sharing OYbV3 trigonal pyramids. In the second O2- site, O2- is bonded in a 4-coordinate geometry to one Yb2+ and three V+3.50+ atoms. In the third O2- site, O2- is bonded to one Yb2+ and three V+3.50+ atoms to form a mixture of distorted edge and corner-sharing OYbV3 trigonal pyramids. In the fourth O2- site, O2- is bonded to one Yb2+ and three V+3.50+ atoms to form a mixture of distorted edge and corner-sharing OYbV3 trigonal pyramids. In the fifth O2- site, O2- is bonded to one Yb2+ and three V+3.50+ atoms to form a mixture of distorted edge and corner-sharing OYbV3 trigonal pyramids. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to one Yb2+ and three V+3.50+ atoms. In the seventh O2- site, O2- is bonded to one Yb2+ and three V+3.50+ atoms to form a mixture of distorted edge and corner-sharing OYbV3 trigonal pyramids. In the eighth O2- site, O2- is bonded to one Yb2+ and three V+3.50+ atoms to form a mixture of distorted edge and corner-sharing OYbV3 trigonal pyramids.

36 MATERIALS SCIENCE↗

Materials Data on Ti11H7O24 by Materials Project

Ti11H7O24 crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are eleven inequivalent Ti+3.73+ sites. In the first Ti+3.73+ site, Ti+3.73+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedral tilt angles are 51°. There are a spread of Ti–O bond distances ranging from 1.85–2.11 Å. In the second Ti+3.73+ site, Ti+3.73+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing TiO6 octahedra. The corner-sharing octahedral tilt angles are 48°. There are a spread of Ti–O bond distances ranging from 1.87–2.20 Å. In the third Ti+3.73+ site, Ti+3.73+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing TiO6 octahedra. The corner-sharing octahedral tilt angles are 48°. There are a spread of Ti–O bond distances ranging from 1.83–2.20 Å. In the fourth Ti+3.73+ site, Ti+3.73+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ti–O bond distances ranging from 1.68–2.36 Å. In the fifth Ti+3.73+ site, Ti+3.73+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 48–51°. There are a spread of Ti–O bond distances ranging from 1.96–2.05 Å. In the sixth Ti+3.73+ site, Ti+3.73+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 49–50°. There are a spread of Ti–O bond distances ranging from 1.87–2.15 Å. In the seventh Ti+3.73+ site, Ti+3.73+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 48–52°. There are a spread of Ti–O bond distances ranging from 1.92–2.08 Å. In the eighth Ti+3.73+ site, Ti+3.73+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 48–51°. There are a spread of Ti–O bond distances ranging from 1.97–2.04 Å. In the ninth Ti+3.73+ site, Ti+3.73+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedral tilt angles are 48°. There are a spread of Ti–O bond distances ranging from 1.89–2.18 Å. In the tenth Ti+3.73+ site, Ti+3.73+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 50–51°. There are a spread of Ti–O bond distances ranging from 1.95–2.15 Å. In the eleventh Ti+3.73+ site, Ti+3.73+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 49–52°. There are a spread of Ti–O bond distances ranging from 1.84–2.20 Å. There are seven inequivalent H1+ sites. In the first H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.98 Å. In the second H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 1.00 Å. In the third H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.98 Å. In the fourth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.98 Å. In the fifth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.98 Å. In the sixth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.97 Å. In the seventh H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.98 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a trigonal non-coplanar geometry to three Ti+3.73+ atoms. In the second O2- site, O2- is bonded in a bent 120 degrees geometry to one Ti+3.73+ and one H1+ atom. In the third O2- site, O2- is bonded in a distorted single-bond geometry to three Ti+3.73+ and one H1+ atom. In the fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.73+ atoms. In the fifth O2- site, O2- is bonded in a trigonal planar geometry to three Ti+3.73+ atoms. In the sixth O2- site, O2- is bonded in a single-bond geometry to one Ti+3.73+ atom. In the seventh O2- site, O2- is bonded in a water-like geometry to two equivalent Ti+3.73+ atoms. In the eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.73+ atoms. In the ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.73+ atoms. In the tenth O2- site, O2- is bonded in a trigonal non-coplanar geometry to three Ti+3.73+ atoms. In the eleventh O2- site, O2- is bonded in a distorted single-bond geometry to three Ti+3.73+ and one H1+ atom. In the twelfth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti+3.73+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted single-bond geometry to three Ti+3.73+ and one H1+ atom. In the fourteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti+3.73+ atoms. In the fifteenth O2- site, O2- is bonded in a distorted single-bond geometry to three Ti+3.73+ and one H1+ atom. In the sixteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.73+ atoms. In the seventeenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.73+ atoms. In the eighteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.73+ atoms. In the nineteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.73+ atoms. In the twentieth O2- site, O2- is bonded in a trigonal planar geometry to three Ti+3.73+ atoms. In the twenty-first O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.73+ atoms. In the twenty-second O2- site, O2- is bonded in a trigonal non-coplanar geometry to three Ti+3.73+ atoms. In the twenty-third O2- site, O2- is bonded in a distorted single-bond geometry to three Ti+3.73+ and one H1+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted single-bond geometry to two equivalent Ti+3.73+ and one H1+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Mg4Cu11O15 by Materials Project

Mg4Cu11O15 crystallizes in the orthorhombic Pmm2 space group. The structure is three-dimensional. there are eight inequivalent Mg2+ sites. In the first Mg2+ site, Mg2+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing MgO6 octahedra. The corner-sharing octahedral tilt angles are 20°. There are a spread of Mg–O bond distances ranging from 2.05–2.21 Å. In the second Mg2+ site, Mg2+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing MgO6 octahedra. The corner-sharing octahedral tilt angles are 19°. There are a spread of Mg–O bond distances ranging from 2.05–2.23 Å. In the third Mg2+ site, Mg2+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing MgO6 octahedra. The corner-sharing octahedral tilt angles are 20°. There are a spread of Mg–O bond distances ranging from 2.05–2.22 Å. In the fourth Mg2+ site, Mg2+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing MgO6 octahedra. The corner-sharing octahedral tilt angles are 19°. There are a spread of Mg–O bond distances ranging from 2.05–2.23 Å. In the fifth Mg2+ site, Mg2+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing MgO6 octahedra. The corner-sharing octahedral tilt angles are 20°. There are a spread of Mg–O bond distances ranging from 2.05–2.23 Å. In the sixth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with two equivalent MgO6 octahedra, an edgeedge with one MgO6 octahedra, and an edgeedge with one CuO6 octahedra. The corner-sharing octahedral tilt angles are 20°. There are a spread of Mg–O bond distances ranging from 2.05–2.21 Å. In the seventh Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with two equivalent MgO6 octahedra, an edgeedge with one MgO6 octahedra, and an edgeedge with one CuO6 octahedra. The corner-sharing octahedral tilt angles are 21°. There are a spread of Mg–O bond distances ranging from 2.05–2.23 Å. In the eighth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with two equivalent MgO6 octahedra and edges with two CuO6 octahedra. The corner-sharing octahedral tilt angles are 21°. There are a spread of Mg–O bond distances ranging from 2.05–2.22 Å. There are twelve inequivalent Cu2+ sites. In the first Cu2+ site, Cu2+ is bonded in a distorted rectangular see-saw-like geometry to five O2- atoms. There are a spread of Cu–O bond distances ranging from 1.92–2.67 Å. In the second Cu2+ site, Cu2+ is bonded in a distorted rectangular see-saw-like geometry to five O2- atoms. There are a spread of Cu–O bond distances ranging from 1.92–2.63 Å. In the third Cu2+ site, Cu2+ is bonded in a distorted rectangular see-saw-like geometry to five O2- atoms. There are a spread of Cu–O bond distances ranging from 1.91–2.64 Å. In the fourth Cu2+ site, Cu2+ is bonded in a distorted rectangular see-saw-like geometry to five O2- atoms. There are a spread of Cu–O bond distances ranging from 1.92–2.67 Å. In the fifth Cu2+ site, Cu2+ is bonded in a distorted rectangular see-saw-like geometry to five O2- atoms. There are a spread of Cu–O bond distances ranging from 1.91–2.64 Å. In the sixth Cu2+ site, Cu2+ is bonded in a 4-coordinate geometry to five O2- atoms. There are a spread of Cu–O bond distances ranging from 1.92–2.61 Å. In the seventh Cu2+ site, Cu2+ is bonded in a distorted rectangular see-saw-like geometry to five O2- atoms. There are a spread of Cu–O bond distances ranging from 1.92–2.65 Å. In the eighth Cu2+ site, Cu2+ is bonded in a 4-coordinate geometry to five O2- atoms. There are a spread of Cu–O bond distances ranging from 1.92–2.61 Å. In the ninth Cu2+ site, Cu2+ is bonded in a distorted rectangular see-saw-like geometry to five O2- atoms. There are a spread of Cu–O bond distances ranging from 1.91–2.66 Å. In the tenth Cu2+ site, Cu2+ is bonded in a distorted rectangular see-saw-like geometry to five O2- atoms. There are a spread of Cu–O bond distances ranging from 1.92–2.62 Å. In the eleventh Cu2+ site, Cu2+ is bonded to six O2- atoms to form CuO6 octahedra that share corners with two equivalent CuO6 octahedra and edges with two MgO6 octahedra. The corner-sharing octahedral tilt angles are 23°. There are a spread of Cu–O bond distances ranging from 2.06–2.29 Å. In the twelfth Cu2+ site, Cu2+ is bonded to six O2- atoms to form CuO6 octahedra that share corners with two equivalent CuO6 octahedra and edges with two MgO6 octahedra. The corner-sharing octahedral tilt angles are 23°. There are a spread of Cu–O bond distances ranging from 2.06–2.28 Å. There are twenty inequivalent O2- sites. In the first O2- site, O2- is bonded to two Mg2+ and three Cu2+ atoms to form a mixture of distorted corner and edge-sharing OMg2Cu3 square pyramids. In the second O2- site, O2- is bonded to two Mg2+ and three Cu2+ atoms to form a mixture of distorted corner and edge-sharing OMg2Cu3 square pyramids. In the third O2- site, O2- is bonded to two Mg2+ and three Cu2+ atoms to form a mixture of distorted corner and edge-sharing OMg2Cu3 square pyramids. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Mg2+ and four Cu2+ atoms. In the fifth O2- site, O2- is bonded to two Mg2+ and three Cu2+ atoms to form distorted OMg2Cu3 square pyramids that share corners with six OMg2Cu3 square pyramids and edges with three OMgCu4 square pyramids. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Mg2+ and four Cu2+ atoms. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to six Cu2+ atoms. In the eighth O2- site, O2- is bonded to two Mg2+ and three Cu2+ atoms to form distorted OMg2Cu3 square pyramids that share corners with six OMg2Cu3 square pyramids and edges with three OMgCu4 square pyramids. In the ninth O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Mg2+ and four Cu2+ atoms. In the tenth O2- site, O2- is bonded in a 4-coordinate geometry to six Cu2+ atoms. In the eleventh O2- site, O2- is bonded in a 6-coordinate geometry to two equivalent Mg2+ and four Cu2+ atoms. In the twelfth O2- site, O2- is bonded in a 6-coordinate geometry to two equivalent Mg2+ and four Cu2+ atoms. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Mg2+ and four Cu2+ atoms. In the fourteenth O2- site, O2- is bonded to one Mg2+ and four Cu2+ atoms to form distorted OMgCu4 square pyramids that share corners with six OMgCu4 square pyramids and edges with three OMg2Cu3 square pyramids. In the fifteenth O2- site, O2- is bonded to two Mg2+ and three Cu2+ atoms to form distorted OMg2Cu3 square pyramids that share corners with six OMgCu4 square pyramids and edges with three OMg2Cu3 square pyramids. In the sixteenth O2- site, O2- is bonded in a 6-coordinate geometry to two equivalent Mg2+ and four Cu2+ atoms. In the seventeenth O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Mg2+ and four Cu2+ atoms. In the eighteenth O2- site, O2- is bonded to one Mg2+ and four Cu2+ atoms to form distorted OMgCu4 square pyramids that share corners with six OMg2Cu3 square pyramids and edges with three OMgCu4 square pyramids. In the nineteenth O2- site, O2- is bonded to one Mg2+ and four Cu2+ atoms to form a mixture of distorted corner and edge-sharing OMgCu4 square pyramids. In the twentieth O2- site, O2- is bonded to one Mg2+ and four Cu2+ atoms to form a mixture of distorted corner and edge-sharing OMgCu4 square pyramids.

36 MATERIALS SCIENCE↗

Materials Data on Na2Ti7O15 by Materials Project

Na2Ti7O15 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are four inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are two shorter (2.51 Å) and two longer (2.64 Å) Na–O bond lengths. In the second Na1+ site, Na1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are two shorter (2.50 Å) and two longer (2.63 Å) Na–O bond lengths. In the third Na1+ site, Na1+ is bonded in a square co-planar geometry to four O2- atoms. All Na–O bond lengths are 2.46 Å. In the fourth Na1+ site, Na1+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Na–O bond distances ranging from 2.53–3.00 Å. There are fourteen inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–29°. There are a spread of Ti–O bond distances ranging from 1.83–2.23 Å. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–29°. There are a spread of Ti–O bond distances ranging from 1.84–2.20 Å. In the third Ti4+ site, Ti4+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 33–35°. There are a spread of Ti–O bond distances ranging from 1.77–2.28 Å. In the fourth Ti4+ site, Ti4+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 33–35°. There are a spread of Ti–O bond distances ranging from 1.78–2.28 Å. In the fifth Ti4+ site, Ti4+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–27°. There are a spread of Ti–O bond distances ranging from 1.84–2.19 Å. In the sixth Ti4+ site, Ti4+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–27°. There are a spread of Ti–O bond distances ranging from 1.85–2.18 Å. In the seventh Ti4+ site, Ti4+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing TiO6 octahedra. The corner-sharing octahedral tilt angles are 34°. There are a spread of Ti–O bond distances ranging from 1.82–2.22 Å. In the eighth Ti4+ site, Ti4+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing TiO6 octahedra. The corner-sharing octahedral tilt angles are 34°. There are a spread of Ti–O bond distances ranging from 1.82–2.22 Å. In the ninth Ti4+ site, Ti4+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ti–O bond distances ranging from 1.76–2.33 Å. In the tenth Ti4+ site, Ti4+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ti–O bond distances ranging from 1.76–2.33 Å. In the eleventh Ti4+ site, Ti4+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ti–O bond distances ranging from 1.78–2.27 Å. In the twelfth Ti4+ site, Ti4+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ti–O bond distances ranging from 1.78–2.27 Å. In the thirteenth Ti4+ site, Ti4+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 30–33°. There are a spread of Ti–O bond distances ranging from 1.82–2.18 Å. In the fourteenth Ti4+ site, Ti4+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 30–33°. There are a spread of Ti–O bond distances ranging from 1.81–2.24 Å. There are thirty inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+ and two Ti4+ atoms. In the second O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+ and two Ti4+ atoms. In the third O2- site, O2- is bonded to two equivalent Na1+ and two Ti4+ atoms to form ONa2Ti2 tetrahedra that share corners with four equivalent ONa2Ti2 tetrahedra, corners with six OTi4 trigonal pyramids, an edgeedge with one ONa2Ti2 tetrahedra, and an edgeedge with one OTi4 trigonal pyramid. In the fourth O2- site, O2- is bonded to two equivalent Na1+ and two Ti4+ atoms to form ONa2Ti2 tetrahedra that share corners with four equivalent ONa2Ti2 tetrahedra, corners with six OTi4 trigonal pyramids, an edgeedge with one ONa2Ti2 tetrahedra, and an edgeedge with one OTi4 trigonal pyramid. In the fifth O2- site, O2- is bonded in a linear geometry to one Na1+ and two Ti4+ atoms. In the sixth O2- site, O2- is bonded in a linear geometry to one Na1+ and two Ti4+ atoms. In the seventh O2- site, O2- is bonded in a 3-coordinate geometry to three Ti4+ atoms. In the eighth O2- site, O2- is bonded in a 3-coordinate geometry to three Ti4+ atoms. In the ninth O2- site, O2- is bonded to two Na1+ and two Ti4+ atoms to form distorted ONa2Ti2 tetrahedra that share corners with two equivalent ONa2Ti2 tetrahedra, corners with three OTi4 trigonal pyramids, and an edgeedge with one OTi4 trigonal pyramid. In the tenth O2- site, O2- is bonded to two Na1+ and two Ti4+ atoms to form distorted ONa2Ti2 tetrahedra that share corners with two equivalent ONa2Ti2 tetrahedra, corners with three OTi4 trigonal pyramids, and an edgeedge with one OTi4 trigonal pyramid. In the eleventh O2- site, O2- is bonded to four Ti4+ atoms to form distorted OTi4 trigonal pyramids that share corners with three ONa2Ti2 tetrahedra, corners with three OTi4 trigonal pyramids, and edges with four OTi4 trigonal pyramids. In the twelfth O2- site, O2- is bonded to four Ti4+ atoms to form distorted OTi4 trigonal pyramids that share corners with three ONa2Ti2 tetrahedra, corners with three OTi4 trigonal pyramids, and edges with four OTi4 trigonal pyramids. In the thirteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Na1+ and two Ti4+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Na1+ and two Ti4+ atoms. In the fifteenth O2- site, O2- is bonded in a distorted linear geometry to two Ti4+ atoms. In the sixteenth O2- site, O2- is bonded in a distorted linear geometry to two Ti4+ atoms. In the seventeenth O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti4+ atoms. In the eighteenth O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti4+ atoms. In the nineteenth O2- site, O2- is bonded to four Ti4+ atoms to form distorted OTi4 trigonal pyramids that share a cornercorner with one ONa2Ti2 tetrahedra, corners with three OTi4 trigonal pyramids, and edges with two OTi4 trigonal pyramids. In the twentieth O2- site, O2- is bonded to four Ti4+ atoms to form distorted OTi4 trigonal pyramids that share a cornercorner with one ONa2Ti2 tetrahedra, corners with three OTi4 trigonal pyramids, and edges with two OTi4 trigonal pyramids. In the twenty-first O2- site, O2- is bonded to four Ti4+ atoms to form distorted OTi4 trigonal pyramids that share corners with three ONa2Ti2 tetrahedra, corners with three OTi4 trigonal pyramids, and edges with four OTi4 trigonal pyramids. In the twenty-second O2- site, O2- is bonded to four Ti4+ atoms to form distorted OTi4 trigonal pyramids that share corners with three ONa2Ti2 tetrahedra, corners with three OTi4 trigonal pyramids, and edges with four OTi4 trigonal pyramids. In the twenty-third O2- site, O2- is bonded in a 2-coordinate geometry to one Na1+ and two Ti4+ atoms. In the twenty-fourth O2- site, O2- is bonded in a 2-coordinate geometry to one Na1+ and two Ti4+ atoms. In the twenty-fifth O2- site, O2- is bonded to four Ti4+ atoms to form distorted OTi4 trigonal pyramids that share corners with two ONa2Ti2 tetrahedra, corners with four OTi4 trigonal pyramids, an edgeedge with one ONa2Ti2 tetrahedra, and edges with four OTi4 trigonal pyramids. In the twenty-sixth O2- site, O2- is bonded to four Ti4+ atoms to form distorted OTi4 trigonal pyramids that share corners with two ONa2Ti2 tetrahedra, corners with four OTi4 trigonal pyramids, an edgeedge with one ONa2Ti2 tetrahedra, and edges with four OTi4 trigonal pyramids. In the twenty-seventh O2- site, O2- is bonded in a distorted linear geometry to one Na1+ and two Ti4+ atoms. In the twenty-eighth O2- site, O2- is bonded in a distorted linear geometry to one Na1+ and two Ti4+ atoms. In the twenty-ninth O2- site, O2- is bonded to four Ti4+ atoms to form distorted OTi4 trigonal pyramids that share corners with three OTi4 trigonal pyramids, an edgeedge with one ONa2Ti2 tetrahedra, and edges with two OTi4 trigonal pyramids. In the thirtieth O2- site, O2- is bonded to four Ti4+ atoms to form distorted OTi4 trigonal pyramids that share corners with three OTi4 trigonal pyramids, an edgeedge with one ONa2Ti2 tetrahedra, and edges with two OTi4 trigonal pyramids.

36 MATERIALS SCIENCE↗

Materials Data on CeTh9O20 by Materials Project

Th9CeO20 is Fluorite-derived structured and crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are five inequivalent Th4+ sites. In the first Th4+ site, Th4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are seven shorter (2.43 Å) and one longer (2.44 Å) Th–O bond lengths. In the second Th4+ site, Th4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Th–O bond distances ranging from 2.42–2.44 Å. In the third Th4+ site, Th4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are one shorter (2.42 Å) and seven longer (2.43 Å) Th–O bond lengths. In the fourth Th4+ site, Th4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Th–O bond distances ranging from 2.42–2.44 Å. In the fifth Th4+ site, Th4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are two shorter (2.42 Å) and six longer (2.43 Å) Th–O bond lengths. Ce4+ is bonded in a body-centered cubic geometry to eight O2- atoms. All Ce–O bond lengths are 2.40 Å. There are ten inequivalent O2- sites. In the first O2- site, O2- is bonded to four Th4+ atoms to form a mixture of edge and corner-sharing OTh4 tetrahedra. In the second O2- site, O2- is bonded to four Th4+ atoms to form a mixture of edge and corner-sharing OTh4 tetrahedra. In the third O2- site, O2- is bonded to four Th4+ atoms to form a mixture of edge and corner-sharing OTh4 tetrahedra. In the fourth O2- site, O2- is bonded to four Th4+ atoms to form a mixture of edge and corner-sharing OTh4 tetrahedra. In the fifth O2- site, O2- is bonded to three Th4+ and one Ce4+ atom to form a mixture of edge and corner-sharing OCeTh3 tetrahedra. In the sixth O2- site, O2- is bonded to three Th4+ and one Ce4+ atom to form a mixture of edge and corner-sharing OCeTh3 tetrahedra. In the seventh O2- site, O2- is bonded to four Th4+ atoms to form a mixture of edge and corner-sharing OTh4 tetrahedra. In the eighth O2- site, O2- is bonded to three Th4+ and one Ce4+ atom to form a mixture of edge and corner-sharing OCeTh3 tetrahedra. In the ninth O2- site, O2- is bonded to three Th4+ and one Ce4+ atom to form a mixture of edge and corner-sharing OCeTh3 tetrahedra. In the tenth O2- site, O2- is bonded to four Th4+ atoms to form a mixture of edge and corner-sharing OTh4 tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on Y5U2O12 by Materials Project

U2Y5O12 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are six inequivalent U+4.50+ sites. In the first U+4.50+ site, U+4.50+ is bonded in an octahedral geometry to six O2- atoms. There are a spread of U–O bond distances ranging from 2.14–2.20 Å. In the second U+4.50+ site, U+4.50+ is bonded in an octahedral geometry to six O2- atoms. There are a spread of U–O bond distances ranging from 2.14–2.20 Å. In the third U+4.50+ site, U+4.50+ is bonded in an octahedral geometry to six O2- atoms. There are a spread of U–O bond distances ranging from 2.14–2.18 Å. In the fourth U+4.50+ site, U+4.50+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of U–O bond distances ranging from 2.17–2.62 Å. In the fifth U+4.50+ site, U+4.50+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of U–O bond distances ranging from 2.16–2.65 Å. In the sixth U+4.50+ site, U+4.50+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of U–O bond distances ranging from 2.17–2.64 Å. There are fifteen inequivalent Y3+ sites. In the first Y3+ site, Y3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Y–O bond distances ranging from 2.23–2.69 Å. In the second Y3+ site, Y3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Y–O bond distances ranging from 2.23–2.68 Å. In the third Y3+ site, Y3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Y–O bond distances ranging from 2.23–2.67 Å. In the fourth Y3+ site, Y3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Y–O bond distances ranging from 2.23–2.65 Å. In the fifth Y3+ site, Y3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Y–O bond distances ranging from 2.23–2.65 Å. In the sixth Y3+ site, Y3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Y–O bond distances ranging from 2.27–2.72 Å. In the seventh Y3+ site, Y3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Y–O bond distances ranging from 2.26–2.69 Å. In the eighth Y3+ site, Y3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Y–O bond distances ranging from 2.26–2.70 Å. In the ninth Y3+ site, Y3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Y–O bond distances ranging from 2.24–2.65 Å. In the tenth Y3+ site, Y3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Y–O bond distances ranging from 2.28–2.69 Å. In the eleventh Y3+ site, Y3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Y–O bond distances ranging from 2.28–2.69 Å. In the twelfth Y3+ site, Y3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Y–O bond distances ranging from 2.24–2.71 Å. In the thirteenth Y3+ site, Y3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Y–O bond distances ranging from 2.24–2.69 Å. In the fourteenth Y3+ site, Y3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Y–O bond distances ranging from 2.25–2.72 Å. In the fifteenth Y3+ site, Y3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Y–O bond distances ranging from 2.22–2.70 Å. There are thirty-six inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to one U+4.50+ and three Y3+ atoms. In the second O2- site, O2- is bonded in a 4-coordinate geometry to one U+4.50+ and three Y3+ atoms. In the third O2- site, O2- is bonded in a 4-coordinate geometry to two U+4.50+ and two Y3+ atoms. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to two U+4.50+ and two Y3+ atoms. In the fifth O2- site, O2- is bonded in a 4-coordinate geometry to two U+4.50+ and two Y3+ atoms. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to one U+4.50+ and three Y3+ atoms. In the seventh O2- site, O2- is bonded to four Y3+ atoms to form a mixture of edge and corner-sharing OY4 tetrahedra. In the eighth O2- site, O2- is bonded to four Y3+ atoms to form a mixture of edge and corner-sharing OY4 tetrahedra. In the ninth O2- site, O2- is bonded to one U+4.50+ and three Y3+ atoms to form a mixture of edge and corner-sharing OY3U tetrahedra. In the tenth O2- site, O2- is bonded to one U+4.50+ and three Y3+ atoms to form OY3U tetrahedra that share corners with six OY4 tetrahedra and edges with three OY3U tetrahedra. In the eleventh O2- site, O2- is bonded to one U+4.50+ and three Y3+ atoms to form distorted OY3U tetrahedra that share corners with six OY4 tetrahedra and edges with three OY3U tetrahedra. In the twelfth O2- site, O2- is bonded to one U+4.50+ and three Y3+ atoms to form OY3U tetrahedra that share corners with six OY4 tetrahedra and edges with three OY3U tetrahedra. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to one U+4.50+ and three Y3+ atoms. In the fourteenth O2- site, O2- is bonded in a 4-coordinate geometry to one U+4.50+ and three Y3+ atoms. In the fifteenth O2- site, O2- is bonded in a 4-coordinate geometry to one U+4.50+ and three Y3+ atoms. In the sixteenth O2- site, O2- is bonded to four Y3+ atoms to form a mixture of edge and corner-sharing OY4 tetrahedra. In the seventeenth O2- site, O2- is bonded to four Y3+ atoms to form a mixture of edge and corner-sharing OY4 tetrahedra. In the eighteenth O2- site, O2- is bonded to four Y3+ atoms to form a mixture of edge and corner-sharing OY4 tetrahedra. In the nineteenth O2- site, O2- is bonded to one U+4.50+ and three Y3+ atoms to form distorted OY3U tetrahedra that share corners with six OY3U tetrahedra and edges with three OY4 tetrahedra. In the twentieth O2- site, O2- is bonded to one U+4.50+ and three Y3+ atoms to form a mixture of distorted edge and corner-sharing OY3U tetrahedra. In the twenty-first O2- site, O2- is bonded to one U+4.50+ and three Y3+ atoms to form OY3U tetrahedra that share corners with six OY3U tetrahedra and edges with three OY4 tetrahedra. In the twenty-second O2- site, O2- is bonded in a 4-coordinate geometry to one U+4.50+ and three Y3+ atoms. In the twenty-third O2- site, O2- is bonded in a 4-coordinate geometry to one U+4.50+ and three Y3+ atoms. In the twenty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to two U+4.50+ and two Y3+ atoms. In the twenty-fifth O2- site, O2- is bonded to one U+4.50+ and three Y3+ atoms to form OY3U tetrahedra that share corners with six OY4 tetrahedra and edges with three OY3U tetrahedra. In the twenty-sixth O2- site, O2- is bonded to one U+4.50+ and three Y3+ atoms to form a mixture of edge and corner-sharing OY3U tetrahedra. In the twenty-seventh O2- site, O2- is bonded to four Y3+ atoms to form a mixture of edge and corner-sharing OY4 tetrahedra. In the twenty-eighth O2- site, O2- is bonded to one U+4.50+ and three Y3+ atoms to form OY3U tetrahedra that share corners with six OY4 tetrahedra and edges with three OY3U tetrahedra. In the twenty-ninth O2- site, O2- is bonded to one U+4.50+ and three Y3+ atoms to form a mixture of edge and corner-sharing OY3U tetrahedra. In the thirtieth O2- site, O2- is bonded to one U+4.50+ and three Y3+ atoms to form OY3U tetrahedra that share corners with six OY4 tetrahedra and edges with three OY3U tetrahedra. In the thirty-first O2- site, O2- is bonded in a 4-coordinate geometry to one U+4.50+ and three Y3+ atoms. In the thirty-second O2- site, O2- is bonded in a 4-coordinate geometry to two U+4.50+ and two Y3+ atoms. In the thirty-third O2- site, O2- is bonded in a 4-coordinate geometry to two U+4.50+ and two Y3+ atoms. In the thirty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to two U+4.50+ and two Y3+ atoms. In the thirty-fifth O2- site, O2- is bonded in a 4-coordinate geometry to two U+4.50+ and two Y3+ atoms. In the thirty-sixth O2- site, O2- is bonded in a 4-coordinate geometry to two U+4.50+ and two Y3+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Zr6O11 by Materials Project

Zr6O11 crystallizes in the orthorhombic Pmm2 space group. The structure is three-dimensional. there are six inequivalent Zr+3.67+ sites. In the first Zr+3.67+ site, Zr+3.67+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Zr–O bond distances ranging from 2.07–2.42 Å. In the second Zr+3.67+ site, Zr+3.67+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.10–2.43 Å. In the third Zr+3.67+ site, Zr+3.67+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.10–2.42 Å. In the fourth Zr+3.67+ site, Zr+3.67+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.09–2.46 Å. In the fifth Zr+3.67+ site, Zr+3.67+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.09–2.42 Å. In the sixth Zr+3.67+ site, Zr+3.67+ is bonded in a 6-coordinate geometry to six O2- atoms. There are two shorter (2.10 Å) and four longer (2.39 Å) Zr–O bond lengths. There are eleven inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to four Zr+3.67+ atoms. In the second O2- site, O2- is bonded to four Zr+3.67+ atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra. In the third O2- site, O2- is bonded to four Zr+3.67+ atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra. In the fourth O2- site, O2- is bonded to four Zr+3.67+ atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra. In the fifth O2- site, O2- is bonded to four Zr+3.67+ atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra. In the sixth O2- site, O2- is bonded to four Zr+3.67+ atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra. In the seventh O2- site, O2- is bonded to four Zr+3.67+ atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra. In the eighth O2- site, O2- is bonded to four Zr+3.67+ atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra. In the ninth O2- site, O2- is bonded to four Zr+3.67+ atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra. In the tenth O2- site, O2- is bonded to four Zr+3.67+ atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra. In the eleventh O2- site, O2- is bonded to four Zr+3.67+ atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on Li5Ti2Co5O12 by Materials Project

Li5Ti2Co5O12 is Caswellsilverite-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are five inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with two TiO6 octahedra, corners with three CoO6 octahedra, edges with two TiO6 octahedra, edges with four LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 3–10°. There are a spread of Li–O bond distances ranging from 2.08–2.23 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with two TiO6 octahedra, corners with three CoO6 octahedra, edges with two TiO6 octahedra, edges with four LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 1–10°. There are a spread of Li–O bond distances ranging from 2.09–2.23 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with two TiO6 octahedra, corners with three CoO6 octahedra, edges with two TiO6 octahedra, edges with four LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 3–10°. There are a spread of Li–O bond distances ranging from 2.03–2.38 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two CoO6 octahedra, corners with four LiO6 octahedra, edges with three equivalent TiO6 octahedra, edges with four LiO6 octahedra, and edges with five CoO6 octahedra. The corner-sharing octahedra tilt angles range from 6–10°. There are a spread of Li–O bond distances ranging from 2.09–2.16 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with two TiO6 octahedra, corners with three CoO6 octahedra, edges with two TiO6 octahedra, edges with four LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 3–10°. There are a spread of Li–O bond distances ranging from 2.02–2.36 Å. There are two inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two CoO6 octahedra, corners with four LiO6 octahedra, edges with five CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–11°. There are a spread of Ti–O bond distances ranging from 1.96–2.02 Å. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two CoO6 octahedra, corners with four LiO6 octahedra, edges with four LiO6 octahedra, and edges with eight CoO6 octahedra. The corner-sharing octahedra tilt angles range from 1–4°. There are a spread of Ti–O bond distances ranging from 1.96–2.04 Å. There are five inequivalent Co+2.20+ sites. In the first Co+2.20+ site, Co+2.20+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with two CoO6 octahedra, corners with four LiO6 octahedra, edges with three equivalent TiO6 octahedra, edges with four LiO6 octahedra, and edges with five CoO6 octahedra. The corner-sharing octahedra tilt angles range from 3–10°. There are a spread of Co–O bond distances ranging from 2.05–2.16 Å. In the second Co+2.20+ site, Co+2.20+ is bonded to six O2- atoms to form CoO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with two TiO6 octahedra, corners with three CoO6 octahedra, edges with two TiO6 octahedra, edges with three CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–10°. There are a spread of Co–O bond distances ranging from 2.07–2.19 Å. In the third Co+2.20+ site, Co+2.20+ is bonded to six O2- atoms to form CoO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with two TiO6 octahedra, corners with three CoO6 octahedra, edges with two TiO6 octahedra, edges with three CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 1–11°. There are a spread of Co–O bond distances ranging from 2.09–2.16 Å. In the fourth Co+2.20+ site, Co+2.20+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with two CoO6 octahedra, corners with four LiO6 octahedra, edges with three equivalent TiO6 octahedra, edges with four LiO6 octahedra, and edges with five CoO6 octahedra. The corner-sharing octahedra tilt angles range from 3–9°. There are a spread of Co–O bond distances ranging from 2.08–2.11 Å. In the fifth Co+2.20+ site, Co+2.20+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with two CoO6 octahedra, corners with four LiO6 octahedra, edges with two CoO6 octahedra, edges with three equivalent TiO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–8°. There are a spread of Co–O bond distances ranging from 1.95–2.00 Å. There are twelve inequivalent O2- sites. In the first O2- site, O2- is bonded to three Li1+, one Ti4+, and two Co+2.20+ atoms to form a mixture of corner and edge-sharing OLi3TiCo2 octahedra. The corner-sharing octahedra tilt angles range from 2–10°. In the second O2- site, O2- is bonded to two Li1+, one Ti4+, and three Co+2.20+ atoms to form a mixture of corner and edge-sharing OLi2TiCo3 octahedra. The corner-sharing octahedra tilt angles range from 3–10°. In the third O2- site, O2- is bonded to two Li1+, one Ti4+, and three Co+2.20+ atoms to form a mixture of corner and edge-sharing OLi2TiCo3 octahedra. The corner-sharing octahedra tilt angles range from 3–5°. In the fourth O2- site, O2- is bonded to three Li1+, one Ti4+, and two Co+2.20+ atoms to form a mixture of corner and edge-sharing OLi3TiCo2 octahedra. The corner-sharing octahedra tilt angles range from 2–9°. In the fifth O2- site, O2- is bonded to three Li1+, one Ti4+, and two Co+2.20+ atoms to form a mixture of corner and edge-sharing OLi3TiCo2 octahedra. The corner-sharing octahedra tilt angles range from 1–10°. In the sixth O2- site, O2- is bonded to three Li1+, one Ti4+, and two Co+2.20+ atoms to form a mixture of corner and edge-sharing OLi3TiCo2 octahedra. The corner-sharing octahedra tilt angles range from 2–9°. In the seventh O2- site, O2- is bonded to two Li1+, one Ti4+, and three Co+2.20+ atoms to form a mixture of corner and edge-sharing OLi2TiCo3 octahedra. The corner-sharing octahedra tilt angles range from 3–10°. In the eighth O2- site, O2- is bonded to two Li1+, one Ti4+, and three Co+2.20+ atoms to form a mixture of corner and edge-sharing OLi2TiCo3 octahedra. The corner-sharing octahedra tilt angles range from 2–4°. In the ninth O2- site, O2- is bonded to two Li1+, one Ti4+, and three Co+2.20+ atoms to form a mixture of corner and edge-sharing OLi2TiCo3 octahedra. The corner-sharing octahedra tilt angles range from 3–9°. In the tenth O2- site, O2- is bonded to three Li1+, one Ti4+, and two Co+2.20+ atoms to form OLi3TiCo2 octahedra that share corners with six OLi2TiCo3 octahedra and edges with twelve OLi3TiCo2 octahedra. The corner-sharing octahedra tilt angles range from 2–9°. In the eleventh O2- site, O2- is bonded to three Li1+, one Ti4+, and two Co+2.20+ atoms to form OLi3TiCo2 octahedra that share corners with six OLi2TiCo3 octahedra and edges with twelve OLi3TiCo2 octahedra. The corner-sharing octahedra tilt angles range from 1–11°. In the twelfth O2- site, O2- is bonded to two Li1+, one Ti4+, and three Co+2.20+ atoms to form a mixture of corner and edge-sharing OLi2TiCo3 octahedra. The corner-sharing octahedra tilt angles range from 3–11°.

36 MATERIALS SCIENCE↗

Materials Data on Mn12O5F19 by Materials Project

Mn12O5F19 is Hydrophilite-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twelve inequivalent Mn+2.42+ sites. In the first Mn+2.42+ site, Mn+2.42+ is bonded to one O2- and five F1- atoms to form a mixture of edge and corner-sharing MnOF5 octahedra. The corner-sharing octahedra tilt angles range from 48–58°. The Mn–O bond length is 1.95 Å. There are a spread of Mn–F bond distances ranging from 2.10–2.19 Å. In the second Mn+2.42+ site, Mn+2.42+ is bonded to one O2- and five F1- atoms to form a mixture of distorted edge and corner-sharing MnOF5 octahedra. The corner-sharing octahedra tilt angles range from 44–59°. The Mn–O bond length is 2.05 Å. There are a spread of Mn–F bond distances ranging from 2.05–2.26 Å. In the third Mn+2.42+ site, Mn+2.42+ is bonded to two O2- and four F1- atoms to form a mixture of edge and corner-sharing MnO2F4 octahedra. The corner-sharing octahedra tilt angles range from 45–58°. There is one shorter (1.98 Å) and one longer (2.00 Å) Mn–O bond length. There are a spread of Mn–F bond distances ranging from 2.04–2.26 Å. In the fourth Mn+2.42+ site, Mn+2.42+ is bonded to one O2- and five F1- atoms to form MnOF5 octahedra that share corners with eight MnO2F4 octahedra and edges with two MnOF5 octahedra. The corner-sharing octahedra tilt angles range from 44–59°. The Mn–O bond length is 1.96 Å. There are a spread of Mn–F bond distances ranging from 2.07–2.18 Å. In the fifth Mn+2.42+ site, Mn+2.42+ is bonded to one O2- and five F1- atoms to form a mixture of edge and corner-sharing MnOF5 octahedra. The corner-sharing octahedra tilt angles range from 46–59°. The Mn–O bond length is 2.01 Å. There are a spread of Mn–F bond distances ranging from 2.12–2.24 Å. In the sixth Mn+2.42+ site, Mn+2.42+ is bonded to one O2- and five F1- atoms to form a mixture of edge and corner-sharing MnOF5 octahedra. The corner-sharing octahedra tilt angles range from 46–58°. The Mn–O bond length is 2.04 Å. There are a spread of Mn–F bond distances ranging from 2.06–2.25 Å. In the seventh Mn+2.42+ site, Mn+2.42+ is bonded to one O2- and five F1- atoms to form a mixture of edge and corner-sharing MnOF5 octahedra. The corner-sharing octahedra tilt angles range from 46–59°. The Mn–O bond length is 2.00 Å. There are a spread of Mn–F bond distances ranging from 2.09–2.23 Å. In the eighth Mn+2.42+ site, Mn+2.42+ is bonded to one O2- and five F1- atoms to form a mixture of distorted edge and corner-sharing MnOF5 octahedra. The corner-sharing octahedra tilt angles range from 44–58°. The Mn–O bond length is 2.03 Å. There are a spread of Mn–F bond distances ranging from 2.03–2.27 Å. In the ninth Mn+2.42+ site, Mn+2.42+ is bonded to one O2- and five F1- atoms to form distorted MnOF5 octahedra that share corners with eight MnOF5 octahedra and edges with two MnO2F4 octahedra. The corner-sharing octahedra tilt angles range from 45–59°. The Mn–O bond length is 2.07 Å. There are a spread of Mn–F bond distances ranging from 2.07–2.27 Å. In the tenth Mn+2.42+ site, Mn+2.42+ is bonded to two O2- and four F1- atoms to form a mixture of edge and corner-sharing MnO2F4 octahedra. The corner-sharing octahedra tilt angles range from 45–59°. There is one shorter (1.97 Å) and one longer (2.01 Å) Mn–O bond length. There are a spread of Mn–F bond distances ranging from 2.03–2.25 Å. In the eleventh Mn+2.42+ site, Mn+2.42+ is bonded to one O2- and five F1- atoms to form a mixture of edge and corner-sharing MnOF5 octahedra. The corner-sharing octahedra tilt angles range from 44–56°. The Mn–O bond length is 1.89 Å. There are a spread of Mn–F bond distances ranging from 2.06–2.25 Å. In the twelfth Mn+2.42+ site, Mn+2.42+ is bonded to two O2- and four F1- atoms to form a mixture of edge and corner-sharing MnO2F4 octahedra. The corner-sharing octahedra tilt angles range from 44–59°. There is one shorter (1.90 Å) and one longer (1.91 Å) Mn–O bond length. There are a spread of Mn–F bond distances ranging from 2.04–2.28 Å. There are five inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+2.42+ atoms. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+2.42+ atoms. In the third O2- site, O2- is bonded in a trigonal planar geometry to three Mn+2.42+ atoms. In the fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+2.42+ atoms. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+2.42+ atoms. There are nineteen inequivalent F1- sites. In the first F1- site, F1- is bonded in a trigonal planar geometry to three Mn+2.42+ atoms. In the second F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.42+ atoms. In the third F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.42+ atoms. In the fourth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.42+ atoms. In the fifth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.42+ atoms. In the sixth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.42+ atoms. In the seventh F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.42+ atoms. In the eighth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.42+ atoms. In the ninth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.42+ atoms. In the tenth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.42+ atoms. In the eleventh F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.42+ atoms. In the twelfth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.42+ atoms. In the thirteenth F1- site, F1- is bonded in a 3-coordinate geometry to three Mn+2.42+ atoms. In the fourteenth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.42+ atoms. In the fifteenth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.42+ atoms. In the sixteenth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.42+ atoms. In the seventeenth F1- site, F1- is bonded in a trigonal planar geometry to three Mn+2.42+ atoms. In the eighteenth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.42+ atoms. In the nineteenth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.42+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Li5V7O12 by Materials Project

Li5V7O12 is Caswellsilverite-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are five inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with five VO6 octahedra, edges with four LiO6 octahedra, and edges with eight VO6 octahedra. The corner-sharing octahedra tilt angles range from 1–9°. There are a spread of Li–O bond distances ranging from 2.10–2.22 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with five VO6 octahedra, edges with four LiO6 octahedra, and edges with eight VO6 octahedra. The corner-sharing octahedra tilt angles range from 1–9°. There are a spread of Li–O bond distances ranging from 2.10–2.21 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two VO6 octahedra, corners with four LiO6 octahedra, edges with four LiO6 octahedra, and edges with eight VO6 octahedra. The corner-sharing octahedra tilt angles range from 4–6°. There are a spread of Li–O bond distances ranging from 2.09–2.20 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with five VO6 octahedra, edges with four LiO6 octahedra, and edges with eight VO6 octahedra. The corner-sharing octahedra tilt angles range from 2–5°. There are a spread of Li–O bond distances ranging from 2.04–2.31 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with five VO6 octahedra, edges with four LiO6 octahedra, and edges with eight VO6 octahedra. The corner-sharing octahedra tilt angles range from 2–6°. There are a spread of Li–O bond distances ranging from 2.03–2.33 Å. There are seven inequivalent V+2.71+ sites. In the first V+2.71+ site, V+2.71+ is bonded to six O2- atoms to form VO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with five VO6 octahedra, edges with five VO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–7°. There are a spread of V–O bond distances ranging from 2.05–2.11 Å. In the second V+2.71+ site, V+2.71+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two VO6 octahedra, corners with four LiO6 octahedra, edges with four LiO6 octahedra, and edges with eight VO6 octahedra. The corner-sharing octahedra tilt angles range from 2–3°. There are a spread of V–O bond distances ranging from 2.06–2.08 Å. In the third V+2.71+ site, V+2.71+ is bonded to six O2- atoms to form VO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with five VO6 octahedra, edges with five VO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–7°. There are a spread of V–O bond distances ranging from 2.05–2.10 Å. In the fourth V+2.71+ site, V+2.71+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two VO6 octahedra, corners with four LiO6 octahedra, edges with four LiO6 octahedra, and edges with eight VO6 octahedra. The corner-sharing octahedra tilt angles range from 1–5°. There are a spread of V–O bond distances ranging from 2.13–2.18 Å. In the fifth V+2.71+ site, V+2.71+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two VO6 octahedra, corners with four LiO6 octahedra, edges with five VO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–7°. There are a spread of V–O bond distances ranging from 2.03–2.12 Å. In the sixth V+2.71+ site, V+2.71+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two VO6 octahedra, corners with four LiO6 octahedra, edges with four LiO6 octahedra, and edges with eight VO6 octahedra. The corner-sharing octahedra tilt angles range from 2–9°. There are two shorter (2.11 Å) and four longer (2.15 Å) V–O bond lengths. In the seventh V+2.71+ site, V+2.71+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two VO6 octahedra, corners with four LiO6 octahedra, edges with five VO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–7°. There are a spread of V–O bond distances ranging from 2.04–2.12 Å. There are twelve inequivalent O2- sites. In the first O2- site, O2- is bonded to three Li1+ and three V+2.71+ atoms to form a mixture of edge and corner-sharing OLi3V3 octahedra. The corner-sharing octahedra tilt angles range from 2–8°. In the second O2- site, O2- is bonded to two Li1+ and four V+2.71+ atoms to form a mixture of edge and corner-sharing OLi2V4 octahedra. The corner-sharing octahedra tilt angles range from 1–8°. In the third O2- site, O2- is bonded to three Li1+ and three V+2.71+ atoms to form a mixture of edge and corner-sharing OLi3V3 octahedra. The corner-sharing octahedra tilt angles range from 2–4°. In the fourth O2- site, O2- is bonded to three Li1+ and three V+2.71+ atoms to form a mixture of edge and corner-sharing OLi3V3 octahedra. The corner-sharing octahedra tilt angles range from 2–8°. In the fifth O2- site, O2- is bonded to two Li1+ and four V+2.71+ atoms to form a mixture of edge and corner-sharing OLi2V4 octahedra. The corner-sharing octahedra tilt angles range from 1–8°. In the sixth O2- site, O2- is bonded to three Li1+ and three V+2.71+ atoms to form OLi3V3 octahedra that share corners with six OLi2V4 octahedra and edges with twelve OLi3V3 octahedra. The corner-sharing octahedra tilt angles range from 1–4°. In the seventh O2- site, O2- is bonded to two Li1+ and four V+2.71+ atoms to form a mixture of edge and corner-sharing OLi2V4 octahedra. The corner-sharing octahedra tilt angles range from 2–5°. In the eighth O2- site, O2- is bonded to three Li1+ and three V+2.71+ atoms to form a mixture of edge and corner-sharing OLi3V3 octahedra. The corner-sharing octahedra tilt angles range from 1–5°. In the ninth O2- site, O2- is bonded to two Li1+ and four V+2.71+ atoms to form a mixture of edge and corner-sharing OLi2V4 octahedra. The corner-sharing octahedra tilt angles range from 1–6°. In the tenth O2- site, O2- is bonded to two Li1+ and four V+2.71+ atoms to form a mixture of edge and corner-sharing OLi2V4 octahedra. The corner-sharing octahedra tilt angles range from 2–5°. In the eleventh O2- site, O2- is bonded to three Li1+ and three V+2.71+ atoms to form OLi3V3 octahedra that share corners with six OLi2V4 octahedra and edges with twelve OLi3V3 octahedra. The corner-sharing octahedra tilt angles range from 1–4°. In the twelfth O2- site, O2- is bonded to two Li1+ and four V+2.71+ atoms to form a mixture of edge and corner-sharing OLi2V4 octahedra. The corner-sharing octahedra tilt angles range from 2–4°.

36 MATERIALS SCIENCE↗

Materials Data on La2Th11O26 by Materials Project

Th11La2O26 is Fluorite-derived structured and crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are six inequivalent Th sites. In the first Th site, Th is bonded in a body-centered cubic geometry to eight O atoms. There are a spread of Th–O bond distances ranging from 2.41–2.44 Å. In the second Th site, Th is bonded in a body-centered cubic geometry to eight O atoms. There are six shorter (2.43 Å) and two longer (2.45 Å) Th–O bond lengths. In the third Th site, Th is bonded in a body-centered cubic geometry to eight O atoms. There are a spread of Th–O bond distances ranging from 2.42–2.45 Å. In the fourth Th site, Th is bonded in a body-centered cubic geometry to eight O atoms. There are four shorter (2.42 Å) and four longer (2.45 Å) Th–O bond lengths. In the fifth Th site, Th is bonded in a body-centered cubic geometry to eight O atoms. There are a spread of Th–O bond distances ranging from 2.41–2.44 Å. In the sixth Th site, Th is bonded in a body-centered cubic geometry to eight O atoms. There are four shorter (2.42 Å) and four longer (2.45 Å) Th–O bond lengths. La is bonded in a body-centered cubic geometry to eight O atoms. There are six shorter (2.50 Å) and two longer (2.51 Å) La–O bond lengths. There are thirteen inequivalent O sites. In the first O site, O is bonded to four Th atoms to form a mixture of edge and corner-sharing OTh4 tetrahedra. In the second O site, O is bonded to four Th atoms to form a mixture of edge and corner-sharing OTh4 tetrahedra. In the third O site, O is bonded to three Th and one La atom to form a mixture of edge and corner-sharing OLaTh3 tetrahedra. In the fourth O site, O is bonded to three Th and one La atom to form OLaTh3 tetrahedra that share corners with sixteen OTh4 tetrahedra and edges with six OLaTh3 tetrahedra. In the fifth O site, O is bonded to three Th and one La atom to form a mixture of edge and corner-sharing OLaTh3 tetrahedra. In the sixth O site, O is bonded to four Th atoms to form OTh4 tetrahedra that share corners with sixteen OTh4 tetrahedra and edges with six OLaTh3 tetrahedra. In the seventh O site, O is bonded to three Th and one La atom to form OLaTh3 tetrahedra that share corners with sixteen OTh4 tetrahedra and edges with six OLaTh3 tetrahedra. In the eighth O site, O is bonded to three Th and one La atom to form a mixture of edge and corner-sharing OLaTh3 tetrahedra. In the ninth O site, O is bonded to three Th and one La atom to form a mixture of edge and corner-sharing OLaTh3 tetrahedra. In the tenth O site, O is bonded to four Th atoms to form a mixture of edge and corner-sharing OTh4 tetrahedra. In the eleventh O site, O is bonded to three Th and one La atom to form a mixture of edge and corner-sharing OLaTh3 tetrahedra. In the twelfth O site, O is bonded to three Th and one La atom to form a mixture of edge and corner-sharing OLaTh3 tetrahedra. In the thirteenth O site, O is bonded to four Th atoms to form a mixture of edge and corner-sharing OTh4 tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on Y13Tm3O24 by Materials Project

Tm3Y13O24 is Spinel-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are three inequivalent Tm3+ sites. In the first Tm3+ site, Tm3+ is bonded to six O2- atoms to form TmO6 octahedra that share a cornercorner with one TmO6 octahedra, corners with five YO6 octahedra, and edges with six YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–55°. There are a spread of Tm–O bond distances ranging from 2.26–2.28 Å. In the second Tm3+ site, Tm3+ is bonded to six O2- atoms to form TmO6 octahedra that share corners with six YO6 octahedra, an edgeedge with one TmO6 octahedra, and edges with five YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. All Tm–O bond lengths are 2.27 Å. In the third Tm3+ site, Tm3+ is bonded to six O2- atoms to form distorted TmO6 octahedra that share a cornercorner with one TmO6 octahedra, corners with five YO6 octahedra, an edgeedge with one TmO6 octahedra, and edges with five YO6 octahedra. The corner-sharing octahedra tilt angles range from 53–55°. There are a spread of Tm–O bond distances ranging from 2.24–2.31 Å. There are thirteen inequivalent Y3+ sites. In the first Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share corners with three TmO6 octahedra, corners with three YO6 octahedra, and edges with six YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Y–O bond distances ranging from 2.27–2.35 Å. In the second Y3+ site, Y3+ is bonded to six O2- atoms to form YO6 octahedra that share a cornercorner with one TmO6 octahedra, corners with five YO6 octahedra, and edges with six YO6 octahedra. The corner-sharing octahedra tilt angles range from 55–56°. There are three shorter (2.30 Å) and three longer (2.31 Å) Y–O bond lengths. In the third Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share a cornercorner with one TmO6 octahedra, corners with five YO6 octahedra, an edgeedge with one TmO6 octahedra, and edges with five YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Y–O bond distances ranging from 2.27–2.35 Å. In the fourth Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share a cornercorner with one TmO6 octahedra, corners with five YO6 octahedra, an edgeedge with one TmO6 octahedra, and edges with five YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Y–O bond distances ranging from 2.27–2.35 Å. In the fifth Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share corners with two TmO6 octahedra, corners with four YO6 octahedra, an edgeedge with one TmO6 octahedra, and edges with five YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Y–O bond distances ranging from 2.26–2.35 Å. In the sixth Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share a cornercorner with one TmO6 octahedra, corners with five YO6 octahedra, edges with two TmO6 octahedra, and edges with four YO6 octahedra. The corner-sharing octahedra tilt angles range from 55–56°. There are a spread of Y–O bond distances ranging from 2.26–2.35 Å. In the seventh Y3+ site, Y3+ is bonded to six O2- atoms to form YO6 octahedra that share corners with six YO6 octahedra, an edgeedge with one TmO6 octahedra, and edges with five YO6 octahedra. The corner-sharing octahedra tilt angles range from 55–57°. There are four shorter (2.30 Å) and two longer (2.31 Å) Y–O bond lengths. In the eighth Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share a cornercorner with one TmO6 octahedra, corners with five YO6 octahedra, edges with two TmO6 octahedra, and edges with four YO6 octahedra. The corner-sharing octahedra tilt angles range from 53–57°. There are a spread of Y–O bond distances ranging from 2.27–2.35 Å. In the ninth Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share corners with six YO6 octahedra, edges with three TmO6 octahedra, and edges with three YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Y–O bond distances ranging from 2.27–2.35 Å. In the tenth Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share a cornercorner with one TmO6 octahedra, corners with five YO6 octahedra, edges with two TmO6 octahedra, and edges with four YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Y–O bond distances ranging from 2.26–2.35 Å. In the eleventh Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share corners with two TmO6 octahedra, corners with four YO6 octahedra, an edgeedge with one TmO6 octahedra, and edges with five YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–55°. There are a spread of Y–O bond distances ranging from 2.26–2.35 Å. In the twelfth Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share a cornercorner with one TmO6 octahedra, corners with five YO6 octahedra, an edgeedge with one TmO6 octahedra, and edges with five YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Y–O bond distances ranging from 2.27–2.35 Å. In the thirteenth Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share corners with two TmO6 octahedra, corners with four YO6 octahedra, an edgeedge with one TmO6 octahedra, and edges with five YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Y–O bond distances ranging from 2.27–2.35 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded to four Y3+ atoms to form distorted OY4 trigonal pyramids that share corners with twelve OY4 trigonal pyramids and edges with four OY3Tm trigonal pyramids. In the second O2- site, O2- is bonded to one Tm3+ and three Y3+ atoms to form distorted OY3Tm trigonal pyramids that share corners with twelve OY3Tm trigonal pyramids and edges with four OY4 trigonal pyramids. In the third O2- site, O2- is bonded to four Y3+ atoms to form distorted OY4 trigonal pyramids that share a cornercorner with one OY3Tm tetrahedra, corners with eleven OY3Tm trigonal pyramids, and edges with four OY4 trigonal pyramids. In the fourth O2- site, O2- is bonded to one Tm3+ and three Y3+ atoms to form distorted OY3Tm trigonal pyramids that share corners with twelve OY3Tm trigonal pyramids, an edgeedge with one OY3Tm tetrahedra, and edges with three OY4 trigonal pyramids. In the fifth O2- site, O2- is bonded to two Tm3+ and two Y3+ atoms to form a mixture of distorted corner and edge-sharing OY2Tm2 trigonal pyramids. In the sixth O2- site, O2- is bonded to one Tm3+ and three Y3+ atoms to form a mixture of distorted corner and edge-sharing OY3Tm trigonal pyramids. In the seventh O2- site, O2- is bonded to one Tm3+ and three Y3+ atoms to form a mixture of distorted corner and edge-sharing OY3Tm trigonal pyramids. In the eighth O2- site, O2- is bonded to four Y3+ atoms to form distorted OY4 trigonal pyramids that share a cornercorner with one OY3Tm tetrahedra, corners with eleven OY3Tm trigonal pyramids, and edges with four OY4 trigonal pyramids. In the ninth O2- site, O2- is bonded to one Tm3+ and three Y3+ atoms to form distorted OY3Tm trigonal pyramids that share a cornercorner with one OY3Tm tetrahedra, corners with eleven OY3Tm trigonal pyramids, and edges with four OY4 trigonal pyramids. In the tenth O2- site, O2- is bonded to four Y3+ atoms to form a mixture of distorted corner and edge-sharing OY4 trigonal pyramids. In the eleventh O2- site, O2- is bonded to two Tm3+ and two Y3+ atoms to form distorted OY2Tm2 trigonal pyramids that share corners with twelve OY3Tm trigonal pyramids, an edgeedge with one OY3Tm tetrahedra, and edges with three OY4 trigonal pyramids. In the twelfth O2- site, O2- is bonded to four Y3+ atoms to form a mixture of distorted corner and edge-sharing OY4 trigonal pyramids. In the thirteenth O2- site, O2- is bonded to four Y3+ atoms to form distorted OY4 trigonal pyramids that share corners with twelve OY3Tm trigonal pyramids and edges with four OY4 trigonal pyramids. In the fourteenth O2- site, O2- is bonded to one Tm3+ and three Y3+ atoms to form a mixture of distorted corner and edge-sharing OY3Tm trigonal pyramids. In the fifteenth O2- site, O2- is bonded to one Tm3+ and three Y3+ atoms to form distorted OY3Tm trigonal pyramids that share corners with twelve OY4 trigonal pyramids, an edgeedge with one OY3Tm tetrahedra, and edges with three OY3Tm trigonal pyramids. In the sixteenth O2- site, O2- is bonded to one Tm3+ and three Y3+ atoms to form a mixture of distorted corner and edge-sharing OY3Tm trigonal pyramids. In the seventeenth O2- site, O2- is bonded to one Tm3+ and three Y3+ atoms to form a mixture of corner and edge-sharing OY3Tm trigonal pyramids. In the eighteenth O2- site, O2- is bonded to one Tm3+ and three Y3+ atoms to form distorted OY3Tm tetrahedra that share corners with twelve OY3Tm trigonal pyramids and edges with four OY2Tm2 trigonal pyramids. In the nineteenth O2- site, O2- is bonded to one Tm3+ and three Y3+ atoms to form a mixture of corner and edge-sharing OY3Tm trigonal pyramids. In the twentieth O2- site, O2- is bonded to one Tm3+ and three Y3+ atoms to form OY3Tm trigonal pyramids that share corners with twelve OY4 trigonal pyramids and edges with four OY3Tm trigonal pyramids. In the twenty-first O2- site, O2- is bonded to four Y3+ atoms to form a mixture of distorted corner and edge-sharing OY4 trigonal pyramids. In the twenty-second O2- site, O2- is bonded to four Y3+ atoms to form distorted OY4 trigonal pyramids that share a cornercorner with one OY3Tm tetrahedra, corners with eleven OY3Tm trigonal pyramids, and edges with four OY4 trigonal pyramids. In the twenty-third O2- site, O2- is bonded to two Tm3+ and two Y3+ atoms to form distorted OY2Tm2 trigonal pyramids that share a cornercorner with one OY3Tm tetrahedra, corners with eleven OY3Tm trigonal pyramids, and edges with four OY2Tm2 trigonal pyramids. In the twenty-fourth O2- site, O2- is bonded to four Y3+ atoms to form distorted OY4 trigonal pyramids that share a cornercorner with one OY3Tm tetrahedra, corners with eleven OY3Tm trigonal pyramids, and edges with four OY4 trigonal pyramids.

36 MATERIALS SCIENCE↗