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Materials Data on KRbMg30O31 by Materials Project

RbKMg30O31 crystallizes in the orthorhombic Pmm2 space group. The structure is three-dimensional. Rb1+ is bonded to six O2- atoms to form RbO6 octahedra that share corners with four MgO6 octahedra, corners with two equivalent MgO5 square pyramids, edges with ten MgO6 octahedra, and edges with two equivalent MgO5 square pyramids. The corner-sharing octahedra tilt angles range from 0–3°. There are a spread of Rb–O bond distances ranging from 2.39–2.48 Å. K1+ is bonded to six O2- atoms to form KO6 octahedra that share corners with four MgO6 octahedra, corners with two equivalent MgO5 square pyramids, edges with ten MgO6 octahedra, and edges with two equivalent MgO5 square pyramids. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of K–O bond distances ranging from 2.35–2.42 Å. There are sixteen inequivalent Mg2+ sites. In the first Mg2+ site, Mg2+ is bonded to five O2- atoms to form MgO5 square pyramids that share corners with two equivalent RbO6 octahedra, corners with two equivalent KO6 octahedra, corners with five MgO5 square pyramids, and edges with eight MgO6 octahedra. The corner-sharing octahedra tilt angles range from 11–15°. There are a spread of Mg–O bond distances ranging from 1.95–2.03 Å. In the second Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with two equivalent RbO6 octahedra, corners with two equivalent KO6 octahedra, corners with two equivalent MgO6 octahedra, and edges with twelve MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. There are a spread of Mg–O bond distances ranging from 1.96–2.28 Å. In the third Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with two equivalent KO6 octahedra, corners with two equivalent MgO6 octahedra, corners with two equivalent MgO5 square pyramids, edges with ten MgO6 octahedra, and edges with two equivalent MgO5 square pyramids. The corner-sharing octahedral tilt angles are 0°. There are a spread of Mg–O bond distances ranging from 1.95–2.28 Å. In the fourth Mg2+ site, Mg2+ is bonded to five O2- atoms to form MgO5 square pyramids that share corners with four MgO6 octahedra, corners with five MgO5 square pyramids, and edges with eight MgO6 octahedra. The corner-sharing octahedral tilt angles are 8°. There are a spread of Mg–O bond distances ranging from 1.98–2.11 Å. In the fifth Mg2+ site, Mg2+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are a spread of Mg–O bond distances ranging from 2.08–2.17 Å. In the sixth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with two equivalent RbO6 octahedra, corners with two equivalent MgO6 octahedra, corners with two equivalent MgO5 square pyramids, edges with ten MgO6 octahedra, and edges with two equivalent MgO5 square pyramids. The corner-sharing octahedral tilt angles are 0°. There are a spread of Mg–O bond distances ranging from 1.90–2.28 Å. In the seventh Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, an edgeedge with one RbO6 octahedra, an edgeedge with one KO6 octahedra, edges with seven MgO6 octahedra, and edges with three MgO5 square pyramids. The corner-sharing octahedra tilt angles range from 2–14°. There are a spread of Mg–O bond distances ranging from 2.16–2.22 Å. In the eighth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, edges with nine MgO6 octahedra, and edges with three MgO5 square pyramids. The corner-sharing octahedra tilt angles range from 1–6°. There are a spread of Mg–O bond distances ranging from 2.14–2.19 Å. In the ninth Mg2+ site, Mg2+ is bonded to five O2- atoms to form MgO5 square pyramids that share corners with four MgO6 octahedra, corners with five MgO5 square pyramids, an edgeedge with one KO6 octahedra, and edges with seven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 8–16°. There are a spread of Mg–O bond distances ranging from 2.00–2.16 Å. In the tenth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with four MgO6 octahedra, corners with two equivalent MgO5 square pyramids, an edgeedge with one RbO6 octahedra, edges with nine MgO6 octahedra, and edges with two equivalent MgO5 square pyramids. The corner-sharing octahedra tilt angles range from 2–11°. There are a spread of Mg–O bond distances ranging from 2.11–2.27 Å. In the eleventh Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with four MgO6 octahedra, corners with two equivalent MgO5 square pyramids, an edgeedge with one KO6 octahedra, edges with nine MgO6 octahedra, and edges with two MgO5 square pyramids. The corner-sharing octahedra tilt angles range from 1–12°. There are a spread of Mg–O bond distances ranging from 2.16–2.28 Å. In the twelfth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, an edgeedge with one RbO6 octahedra, and edges with eleven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 2–14°. There are a spread of Mg–O bond distances ranging from 2.14–2.24 Å. In the thirteenth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with four MgO6 octahedra, corners with two equivalent MgO5 square pyramids, an edgeedge with one KO6 octahedra, edges with nine MgO6 octahedra, and edges with two equivalent MgO5 square pyramids. The corner-sharing octahedra tilt angles range from 2–10°. There are a spread of Mg–O bond distances ranging from 2.12–2.25 Å. In the fourteenth Mg2+ site, Mg2+ is bonded to five O2- atoms to form MgO5 square pyramids that share corners with four MgO6 octahedra, corners with five MgO5 square pyramids, an edgeedge with one RbO6 octahedra, and edges with seven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 8–19°. There are a spread of Mg–O bond distances ranging from 2.00–2.17 Å. In the fifteenth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, an edgeedge with one KO6 octahedra, and edges with eleven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 2–12°. There are a spread of Mg–O bond distances ranging from 2.15–2.22 Å. In the sixteenth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with four MgO6 octahedra, corners with two equivalent MgO5 square pyramids, an edgeedge with one RbO6 octahedra, edges with nine MgO6 octahedra, and edges with two MgO5 square pyramids. The corner-sharing octahedra tilt angles range from 1–13°. There are a spread of Mg–O bond distances ranging from 2.16–2.39 Å. There are seventeen inequivalent O2- sites. In the first O2- site, O2- is bonded to one K1+ and five Mg2+ atoms to form a mixture of edge and corner-sharing OKMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the second O2- site, O2- is bonded to six Mg2+ atoms to form OMg6 octahedra that share corners with six OKMg5 octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–8°. In the third O2- site, O2- is bonded to one Rb1+ and five Mg2+ atoms to form a mixture of distorted edge and corner-sharing ORbMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–8°. In the fourth O2- site, O2- is bonded to one K1+ and five Mg2+ atoms to form OKMg5 octahedra that share corners with six OKMg5 octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–8°. In the fifth O2- site, O2- is bonded to six Mg2+ atoms to form OMg6 octahedra that share corners with four OKMg5 octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 6–7°. In the sixth O2- site, O2- is bonded to six Mg2+ atoms to form a mixture of edge and corner-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–8°. In the seventh O2- site, O2- is bonded to one Rb1+ and five Mg2+ atoms to form ORbMg5 octahedra that share corners with six ORbMg5 octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–8°. In the eighth O2- site, O2- is bonded to six Mg2+ atoms to form OMg6 octahedra that share corners with six OMg6 octahedra and edges with eleven OKMg5 octahedra. The corner-sharing octahedra tilt angles range from 2–12°. In the ninth O2- site, O2- is bonded to six Mg2+ atoms to form OMg6 octahedra that share corners with six OMg6 octahedra and edges with twelve OKMg5 octahedra. The corner-sharing octahedra tilt angles range from 2–4°. In the tenth O2- site, O2- is bonded to one K1+ and five Mg2+ atoms to form OKMg5 octahedra that share corners with six ORbMg5 octahedra and edges with eleven OKMg5 octahedra. The corner-sharing octahedra tilt angles range from 1–18°. In the eleventh O2- site, O2- is bonded to one Rb1+ and five Mg2+ atoms to form ORbMg5 octahedra that share corners with six ORbMg5 octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 1–5°. In the twelfth O2- site, O2- is bonded to six Mg2+ atoms to form OMg6 octahedra that share corners with six OMg6 octahedra and edges with eleven OKMg5 octahedra. The corner-sharing octahedra tilt angles range from 2–18°. In the thirteenth O2- site, O2- is bonded to six Mg2+ atoms to form OMg6 octahedra that share corners with six ORbMg5 octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the fourteenth O2- site, O2- is bonded to one K1+ and five Mg2+ atoms to form OKMg5 octahedra that share corners with six ORbMg5 octahedra and edges with twelve OKMg5 octahedra. The corner-sharing octahedra tilt angles range from 2–3°. In the fifteenth O2- site, O2- is bonded to one Rb1+ and five Mg2+ atoms to form a mixture of distorted edge and corner-sharing ORbMg5 octahedra. The corner-sharing octahedra tilt angles range from 3–20°. In the sixteenth O2- site, O2- is bonded to six Mg2+ atoms to form OMg6 octahedra that share corners with six OMg6 octahedra and edges with twelve OKMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the seventeenth O2- site, O2- is bonded to six Mg2+ atoms to form a mixture of edge and corner-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 3–20°.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on NaLiMg30O31 by Materials Project

NaLiMg30O31 crystallizes in the orthorhombic Pmm2 space group. The structure is three-dimensional. Na1+ is bonded to six O2- atoms to form NaO6 octahedra that share corners with four MgO6 octahedra, corners with two equivalent MgO5 square pyramids, edges with ten MgO6 octahedra, and edges with two equivalent MgO5 square pyramids. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Na–O bond distances ranging from 2.23–2.28 Å. Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with four MgO6 octahedra, corners with two equivalent MgO5 square pyramids, edges with ten MgO6 octahedra, and edges with two equivalent MgO5 square pyramids. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Li–O bond distances ranging from 2.16–2.23 Å. There are sixteen inequivalent Mg2+ sites. In the first Mg2+ site, Mg2+ is bonded to five O2- atoms to form MgO5 square pyramids that share corners with two equivalent NaO6 octahedra, corners with two equivalent LiO6 octahedra, corners with five MgO5 square pyramids, and edges with eight MgO6 octahedra. The corner-sharing octahedra tilt angles range from 8–9°. There are a spread of Mg–O bond distances ranging from 1.97–2.07 Å. In the second Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with two equivalent NaO6 octahedra, corners with two equivalent LiO6 octahedra, corners with two equivalent MgO6 octahedra, and edges with twelve MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Mg–O bond distances ranging from 2.04–2.18 Å. In the third Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with two equivalent MgO6 octahedra, corners with two equivalent MgO5 square pyramids, edges with ten MgO6 octahedra, and edges with two equivalent MgO5 square pyramids. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of Mg–O bond distances ranging from 2.05–2.20 Å. In the fourth Mg2+ site, Mg2+ is bonded to five O2- atoms to form MgO5 square pyramids that share corners with four MgO6 octahedra, corners with five MgO5 square pyramids, and edges with eight MgO6 octahedra. The corner-sharing octahedral tilt angles are 8°. There are a spread of Mg–O bond distances ranging from 1.95–2.09 Å. In the fifth Mg2+ site, Mg2+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of Mg–O bond distances ranging from 2.09–2.15 Å. In the sixth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with two equivalent NaO6 octahedra, corners with two equivalent MgO6 octahedra, corners with two equivalent MgO5 square pyramids, edges with ten MgO6 octahedra, and edges with two equivalent MgO5 square pyramids. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of Mg–O bond distances ranging from 2.01–2.21 Å. In the seventh Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, an edgeedge with one NaO6 octahedra, an edgeedge with one LiO6 octahedra, edges with seven MgO6 octahedra, and edges with three MgO5 square pyramids. The corner-sharing octahedra tilt angles range from 1–8°. There are a spread of Mg–O bond distances ranging from 2.12–2.17 Å. In the eighth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, edges with nine MgO6 octahedra, and edges with three MgO5 square pyramids. The corner-sharing octahedra tilt angles range from 0–5°. There are a spread of Mg–O bond distances ranging from 2.12–2.14 Å. In the ninth Mg2+ site, Mg2+ is bonded to five O2- atoms to form MgO5 square pyramids that share corners with four MgO6 octahedra, corners with five MgO5 square pyramids, an edgeedge with one LiO6 octahedra, and edges with seven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 9–11°. There are a spread of Mg–O bond distances ranging from 1.94–2.14 Å. In the tenth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with four MgO6 octahedra, corners with two equivalent MgO5 square pyramids, an edgeedge with one NaO6 octahedra, edges with nine MgO6 octahedra, and edges with two equivalent MgO5 square pyramids. The corner-sharing octahedra tilt angles range from 1–7°. There are a spread of Mg–O bond distances ranging from 2.10–2.18 Å. In the eleventh Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with four MgO6 octahedra, corners with two equivalent MgO5 square pyramids, an edgeedge with one LiO6 octahedra, edges with nine MgO6 octahedra, and edges with two MgO5 square pyramids. The corner-sharing octahedra tilt angles range from 3–6°. There are a spread of Mg–O bond distances ranging from 2.09–2.24 Å. In the twelfth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, an edgeedge with one NaO6 octahedra, and edges with eleven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 1–7°. There are a spread of Mg–O bond distances ranging from 2.13–2.17 Å. In the thirteenth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with four MgO6 octahedra, corners with two equivalent MgO5 square pyramids, an edgeedge with one LiO6 octahedra, edges with nine MgO6 octahedra, and edges with two equivalent MgO5 square pyramids. The corner-sharing octahedra tilt angles range from 0–5°. There are a spread of Mg–O bond distances ranging from 2.09–2.19 Å. In the fourteenth Mg2+ site, Mg2+ is bonded to five O2- atoms to form MgO5 square pyramids that share corners with four MgO6 octahedra, corners with five MgO5 square pyramids, an edgeedge with one NaO6 octahedra, and edges with seven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 8–14°. There are a spread of Mg–O bond distances ranging from 1.95–2.12 Å. In the fifteenth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, an edgeedge with one LiO6 octahedra, and edges with eleven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–5°. There are a spread of Mg–O bond distances ranging from 2.11–2.18 Å. In the sixteenth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with four MgO6 octahedra, corners with two equivalent MgO5 square pyramids, an edgeedge with one NaO6 octahedra, edges with nine MgO6 octahedra, and edges with two MgO5 square pyramids. The corner-sharing octahedra tilt angles range from 2–8°. There are a spread of Mg–O bond distances ranging from 2.11–2.22 Å. There are seventeen inequivalent O2- sites. In the first O2- site, O2- is bonded to one Li1+ and five Mg2+ atoms to form a mixture of edge and corner-sharing OLiMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the second O2- site, O2- is bonded to six Mg2+ atoms to form OMg6 octahedra that share corners with six OLiMg5 octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–5°. In the third O2- site, O2- is bonded to one Na1+ and five Mg2+ atoms to form a mixture of edge and corner-sharing ONaMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–5°. In the fourth O2- site, O2- is bonded to one Li1+ and five Mg2+ atoms to form OLiMg5 octahedra that share corners with six OLiMg5 octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–5°. In the fifth O2- site, O2- is bonded to six Mg2+ atoms to form OMg6 octahedra that share corners with four OLiMg5 octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedral tilt angles are 5°. In the sixth O2- site, O2- is bonded to six Mg2+ atoms to form a mixture of edge and corner-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–5°. In the seventh O2- site, O2- is bonded to one Na1+ and five Mg2+ atoms to form ONaMg5 octahedra that share corners with six ONaMg5 octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–5°. In the eighth O2- site, O2- is bonded to six Mg2+ atoms to form OMg6 octahedra that share corners with six OMg6 octahedra and edges with eleven OLiMg5 octahedra. The corner-sharing octahedra tilt angles range from 2–14°. In the ninth O2- site, O2- is bonded to six Mg2+ atoms to form OMg6 octahedra that share corners with six OMg6 octahedra and edges with twelve OLiMg5 octahedra. The corner-sharing octahedra tilt angles range from 2–4°. In the tenth O2- site, O2- is bonded to one Li1+ and five Mg2+ atoms to form OLiMg5 octahedra that share corners with six ONaMg5 octahedra and edges with eleven OLiMg5 octahedra. The corner-sharing octahedra tilt angles range from 2–15°. In the eleventh O2- site, O2- is bonded to one Na1+ and five Mg2+ atoms to form ONaMg5 octahedra that share corners with six ONaMg5 octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 1–2°. In the twelfth O2- site, O2- is bonded to six Mg2+ atoms to form OMg6 octahedra that share corners with six OMg6 octahedra and edges with eleven OLiMg5 octahedra. The corner-sharing octahedra tilt angles range from 2–15°. In the thirteenth O2- site, O2- is bonded to six Mg2+ atoms to form OMg6 octahedra that share corners with six ONaMg5 octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 1–2°. In the fourteenth O2- site, O2- is bonded to one Li1+ and five Mg2+ atoms to form OLiMg5 octahedra that share corners with six ONaMg5 octahedra and edges with twelve OLiMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the fifteenth O2- site, O2- is bonded to one Na1+ and five Mg2+ atoms to form a mixture of edge and corner-sharing ONaMg5 octahedra. The corner-sharing octahedra tilt angles range from 3–16°. In the sixteenth O2- site, O2- is bonded to six Mg2+ atoms to form OMg6 octahedra that share corners with six OMg6 octahedra and edges with twelve OLiMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the seventeenth O2- site, O2- is bonded to six Mg2+ atoms to form a mixture of edge and corner-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 3–16°.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on KLiMg30O31 by Materials Project

KLiMg30O31 crystallizes in the orthorhombic Pmm2 space group. The structure is three-dimensional. K1+ is bonded to six O2- atoms to form KO6 octahedra that share corners with four MgO6 octahedra, corners with two equivalent MgO5 square pyramids, edges with ten MgO6 octahedra, and edges with two equivalent MgO5 square pyramids. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of K–O bond distances ranging from 2.33–2.38 Å. Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with four MgO6 octahedra, corners with two equivalent MgO5 square pyramids, edges with ten MgO6 octahedra, and edges with two equivalent MgO5 square pyramids. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Li–O bond distances ranging from 2.15–2.26 Å. There are sixteen inequivalent Mg2+ sites. In the first Mg2+ site, Mg2+ is bonded to five O2- atoms to form MgO5 square pyramids that share corners with two equivalent KO6 octahedra, corners with two equivalent LiO6 octahedra, corners with five MgO5 square pyramids, and edges with eight MgO6 octahedra. The corner-sharing octahedra tilt angles range from 8–13°. There are a spread of Mg–O bond distances ranging from 1.94–2.12 Å. In the second Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with two equivalent KO6 octahedra, corners with two equivalent LiO6 octahedra, corners with two equivalent MgO6 octahedra, and edges with twelve MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Mg–O bond distances ranging from 1.96–2.21 Å. In the third Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with two equivalent KO6 octahedra, corners with two equivalent MgO6 octahedra, corners with two equivalent MgO5 square pyramids, edges with ten MgO6 octahedra, and edges with two equivalent MgO5 square pyramids. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of Mg–O bond distances ranging from 1.93–2.24 Å. In the fourth Mg2+ site, Mg2+ is bonded to five O2- atoms to form MgO5 square pyramids that share corners with four MgO6 octahedra, corners with five MgO5 square pyramids, and edges with eight MgO6 octahedra. The corner-sharing octahedral tilt angles are 8°. There are a spread of Mg–O bond distances ranging from 1.96–2.11 Å. In the fifth Mg2+ site, Mg2+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of Mg–O bond distances ranging from 2.09–2.16 Å. In the sixth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with two equivalent MgO6 octahedra, corners with two equivalent MgO5 square pyramids, edges with ten MgO6 octahedra, and edges with two equivalent MgO5 square pyramids. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of Mg–O bond distances ranging from 2.06–2.22 Å. In the seventh Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, an edgeedge with one KO6 octahedra, an edgeedge with one LiO6 octahedra, edges with seven MgO6 octahedra, and edges with three MgO5 square pyramids. The corner-sharing octahedra tilt angles range from 2–12°. There are a spread of Mg–O bond distances ranging from 2.11–2.22 Å. In the eighth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, edges with nine MgO6 octahedra, and edges with three MgO5 square pyramids. The corner-sharing octahedra tilt angles range from 0–5°. There are a spread of Mg–O bond distances ranging from 2.13–2.17 Å. In the ninth Mg2+ site, Mg2+ is bonded to five O2- atoms to form MgO5 square pyramids that share corners with four MgO6 octahedra, corners with five MgO5 square pyramids, an edgeedge with one KO6 octahedra, and edges with seven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 7–18°. There are a spread of Mg–O bond distances ranging from 1.98–2.13 Å. In the tenth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with four MgO6 octahedra, corners with two equivalent MgO5 square pyramids, an edgeedge with one LiO6 octahedra, edges with nine MgO6 octahedra, and edges with two equivalent MgO5 square pyramids. The corner-sharing octahedra tilt angles range from 0–6°. There are a spread of Mg–O bond distances ranging from 2.11–2.20 Å. In the eleventh Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with four MgO6 octahedra, corners with two equivalent MgO5 square pyramids, an edgeedge with one KO6 octahedra, edges with nine MgO6 octahedra, and edges with two MgO5 square pyramids. The corner-sharing octahedra tilt angles range from 0–11°. There are a spread of Mg–O bond distances ranging from 2.13–2.29 Å. In the twelfth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, an edgeedge with one LiO6 octahedra, and edges with eleven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. There are a spread of Mg–O bond distances ranging from 2.12–2.19 Å. In the thirteenth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with four MgO6 octahedra, corners with two equivalent MgO5 square pyramids, an edgeedge with one KO6 octahedra, edges with nine MgO6 octahedra, and edges with two equivalent MgO5 square pyramids. The corner-sharing octahedra tilt angles range from 1–10°. There are a spread of Mg–O bond distances ranging from 2.11–2.22 Å. In the fourteenth Mg2+ site, Mg2+ is bonded to five O2- atoms to form MgO5 square pyramids that share corners with four MgO6 octahedra, corners with five MgO5 square pyramids, an edgeedge with one LiO6 octahedra, and edges with seven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 9–10°. There are a spread of Mg–O bond distances ranging from 1.95–2.16 Å. In the fifteenth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, an edgeedge with one KO6 octahedra, and edges with eleven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 1–11°. There are a spread of Mg–O bond distances ranging from 2.13–2.20 Å. In the sixteenth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with four MgO6 octahedra, corners with two equivalent MgO5 square pyramids, an edgeedge with one LiO6 octahedra, edges with nine MgO6 octahedra, and edges with two MgO5 square pyramids. The corner-sharing octahedra tilt angles range from 3–7°. There are a spread of Mg–O bond distances ranging from 2.10–2.26 Å. There are seventeen inequivalent O2- sites. In the first O2- site, O2- is bonded to one K1+ and five Mg2+ atoms to form a mixture of edge and corner-sharing OKMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the second O2- site, O2- is bonded to six Mg2+ atoms to form OMg6 octahedra that share corners with six OKMg5 octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the third O2- site, O2- is bonded to one Li1+ and five Mg2+ atoms to form a mixture of edge and corner-sharing OLiMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–5°. In the fourth O2- site, O2- is bonded to one K1+ and five Mg2+ atoms to form OKMg5 octahedra that share corners with six OKMg5 octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the fifth O2- site, O2- is bonded to six Mg2+ atoms to form OMg6 octahedra that share corners with four OKMg5 octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 5–6°. In the sixth O2- site, O2- is bonded to six Mg2+ atoms to form a mixture of edge and corner-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the seventh O2- site, O2- is bonded to one Li1+ and five Mg2+ atoms to form OLiMg5 octahedra that share corners with six OLiMg5 octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–5°. In the eighth O2- site, O2- is bonded to six Mg2+ atoms to form OMg6 octahedra that share corners with six OMg6 octahedra and edges with eleven OKMg5 octahedra. The corner-sharing octahedra tilt angles range from 2–14°. In the ninth O2- site, O2- is bonded to six Mg2+ atoms to form OMg6 octahedra that share corners with six OMg6 octahedra and edges with twelve OKMg5 octahedra. The corner-sharing octahedra tilt angles range from 2–5°. In the tenth O2- site, O2- is bonded to one K1+ and five Mg2+ atoms to form distorted OKMg5 octahedra that share corners with six OLiMg5 octahedra and edges with eleven OKMg5 octahedra. The corner-sharing octahedra tilt angles range from 5–19°. In the eleventh O2- site, O2- is bonded to one Li1+ and five Mg2+ atoms to form OLiMg5 octahedra that share corners with six OLiMg5 octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 1–5°. In the twelfth O2- site, O2- is bonded to six Mg2+ atoms to form OMg6 octahedra that share corners with six OMg6 octahedra and edges with eleven OKMg5 octahedra. The corner-sharing octahedra tilt angles range from 3–19°. In the thirteenth O2- site, O2- is bonded to six Mg2+ atoms to form OMg6 octahedra that share corners with six OLiMg5 octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 1–3°. In the fourteenth O2- site, O2- is bonded to one K1+ and five Mg2+ atoms to form OKMg5 octahedra that share corners with six OLiMg5 octahedra and edges with twelve OKMg5 octahedra. The corner-sharing octahedra tilt angles range from 1–4°. In the fifteenth O2- site, O2- is bonded to one Li1+ and five Mg2+ atoms to form a mixture of edge and corner-sharing OLiMg5 octahedra. The corner-sharing octahedra tilt angles range from 1–14°. In the sixteenth O2- site, O2- is bonded to six Mg2+ atoms to form OMg6 octahedra that share corners with six OMg6 octahedra and edges with twelve OKMg5 octahedra. The corner-sharing octahedra tilt angles range from 1–4°. In the seventeenth O2- site, O2- is bonded to six Mg2+ atoms to form a mixture of edge and corner-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 2–14°.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on NaHfMg30O31 by Materials Project

NaMg30HfO31 crystallizes in the orthorhombic Pmm2 space group. The structure is three-dimensional. Na is bonded to six O atoms to form NaO6 octahedra that share corners with four MgO6 octahedra, corners with two equivalent HfO5 square pyramids, edges with ten MgO6 octahedra, and edges with two equivalent MgO5 square pyramids. The corner-sharing octahedral tilt angles are 0°. There are four shorter (2.25 Å) and two longer (2.26 Å) Na–O bond lengths. There are sixteen inequivalent Mg sites. In the first Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with two equivalent NaO6 octahedra, corners with four MgO6 octahedra, and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are a spread of Mg–O bond distances ranging from 2.04–2.17 Å. In the second Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with four MgO6 octahedra, corners with two equivalent HfO5 square pyramids, edges with ten MgO6 octahedra, and edges with two equivalent MgO5 square pyramids. The corner-sharing octahedral tilt angles are 0°. There are a spread of Mg–O bond distances ranging from 2.10–2.15 Å. In the third Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with two equivalent NaO6 octahedra, corners with two equivalent MgO6 octahedra, corners with two equivalent MgO5 square pyramids, edges with ten MgO6 octahedra, and edges with two equivalent MgO5 square pyramids. The corner-sharing octahedral tilt angles are 0°. There are a spread of Mg–O bond distances ranging from 2.03–2.17 Å. In the fourth Mg site, Mg is bonded to five O atoms to form MgO5 square pyramids that share corners with four MgO6 octahedra, a cornercorner with one HfO5 square pyramid, corners with four MgO5 square pyramids, and edges with eight MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are a spread of Mg–O bond distances ranging from 2.12–2.15 Å. In the fifth Mg site, Mg is bonded to six O atoms to form a mixture of edge and corner-sharing MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are a spread of Mg–O bond distances ranging from 2.12–2.16 Å. In the sixth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with four MgO6 octahedra, corners with two equivalent MgO5 square pyramids, edges with ten MgO6 octahedra, and edges with two equivalent MgO5 square pyramids. The corner-sharing octahedral tilt angles are 0°. There are one shorter (2.12 Å) and five longer (2.14 Å) Mg–O bond lengths. In the seventh Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, an edgeedge with one NaO6 octahedra, edges with eight MgO6 octahedra, an edgeedge with one HfO5 square pyramid, and edges with two MgO5 square pyramids. The corner-sharing octahedra tilt angles range from 1–8°. There are a spread of Mg–O bond distances ranging from 2.09–2.20 Å. In the eighth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, edges with nine MgO6 octahedra, and edges with three MgO5 square pyramids. The corner-sharing octahedra tilt angles range from 0–3°. There are a spread of Mg–O bond distances ranging from 2.13–2.16 Å. In the ninth Mg site, Mg is bonded to five O atoms to form MgO5 square pyramids that share corners with four MgO6 octahedra, a cornercorner with one HfO5 square pyramid, corners with four MgO5 square pyramids, an edgeedge with one NaO6 octahedra, and edges with seven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 2–8°. There are a spread of Mg–O bond distances ranging from 2.08–2.19 Å. In the tenth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with four MgO6 octahedra, corners with two equivalent MgO5 square pyramids, edges with ten MgO6 octahedra, and edges with two equivalent MgO5 square pyramids. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Mg–O bond distances ranging from 2.13–2.16 Å. In the eleventh Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with four MgO6 octahedra, corners with two equivalent MgO5 square pyramids, an edgeedge with one NaO6 octahedra, edges with nine MgO6 octahedra, an edgeedge with one MgO5 square pyramid, and an edgeedge with one HfO5 square pyramid. The corner-sharing octahedra tilt angles range from 2–4°. There are a spread of Mg–O bond distances ranging from 2.10–2.19 Å. In the twelfth Mg site, Mg is bonded to six O atoms to form a mixture of edge and corner-sharing MgO6 octahedra. The corner-sharing octahedra tilt angles range from 1–2°. There are a spread of Mg–O bond distances ranging from 2.13–2.16 Å. In the thirteenth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with four MgO6 octahedra, corners with two equivalent MgO5 square pyramids, an edgeedge with one NaO6 octahedra, edges with nine MgO6 octahedra, and edges with two equivalent MgO5 square pyramids. The corner-sharing octahedra tilt angles range from 1–6°. There are a spread of Mg–O bond distances ranging from 2.13–2.15 Å. In the fourteenth Mg site, Mg is bonded to five O atoms to form MgO5 square pyramids that share corners with four MgO6 octahedra, a cornercorner with one HfO5 square pyramid, corners with four MgO5 square pyramids, and edges with eight MgO6 octahedra. The corner-sharing octahedra tilt angles range from 1–2°. There are a spread of Mg–O bond distances ranging from 2.11–2.21 Å. In the fifteenth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, an edgeedge with one NaO6 octahedra, and edges with eleven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 1–6°. There are a spread of Mg–O bond distances ranging from 2.14–2.16 Å. In the sixteenth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with four MgO6 octahedra, corners with two equivalent MgO5 square pyramids, edges with ten MgO6 octahedra, an edgeedge with one MgO5 square pyramid, and an edgeedge with one HfO5 square pyramid. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of Mg–O bond distances ranging from 2.11–2.17 Å. Hf is bonded to five O atoms to form HfO5 square pyramids that share corners with two equivalent NaO6 octahedra, corners with two equivalent MgO6 octahedra, corners with five MgO5 square pyramids, and edges with eight MgO6 octahedra. The corner-sharing octahedra tilt angles range from 3–6°. There are a spread of Hf–O bond distances ranging from 2.05–2.26 Å. There are seventeen inequivalent O sites. In the first O site, O is bonded to one Na and five Mg atoms to form a mixture of edge and corner-sharing ONaMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the second O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six ONaMg5 octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the third O site, O is bonded to six Mg atoms to form a mixture of edge and corner-sharing OMg6 octahedra. The corner-sharing octahedral tilt angles are 0°. In the fourth O site, O is bonded to one Na and five Mg atoms to form ONaMg5 octahedra that share corners with six ONaMg5 octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the fifth O site, O is bonded to five Mg and one Hf atom to form OHfMg5 octahedra that share corners with four ONaMg5 octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedral tilt angles are 1°. In the sixth O site, O is bonded to six Mg atoms to form a mixture of edge and corner-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the seventh O site, O is bonded to six Mg atoms to form a mixture of edge and corner-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. In the eighth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OMg6 octahedra and edges with eleven ONaMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the ninth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OMg6 octahedra and edges with twelve ONaMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the tenth O site, O is bonded to one Na, four Mg, and one Hf atom to form ONaHfMg4 octahedra that share corners with six OMg6 octahedra and edges with eleven ONaMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the eleventh O site, O is bonded to six Mg atoms to form a mixture of edge and corner-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. In the twelfth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OMg6 octahedra and edges with eleven ONaMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the thirteenth O site, O is bonded to six Mg atoms to form a mixture of edge and corner-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. In the fourteenth O site, O is bonded to one Na and five Mg atoms to form ONaMg5 octahedra that share corners with six OHfMg5 octahedra and edges with twelve ONaMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the fifteenth O site, O is bonded to five Mg and one Hf atom to form OHfMg5 octahedra that share corners with six OHfMg5 octahedra and edges with eleven OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–9°. In the sixteenth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OMg6 octahedra and edges with twelve ONaMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the seventeenth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OHfMg5 octahedra and edges with eleven OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–1°.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Li8CoNi9O20 by Materials Project

Li8CoNi9O20 crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are sixteen inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six NiO6 octahedra, edges with two equivalent CoO6 octahedra, edges with four LiO6 octahedra, and edges with four NiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–18°. There are a spread of Li–O bond distances ranging from 1.98–2.23 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six NiO6 octahedra, edges with two equivalent LiO6 octahedra, edges with two equivalent CoO6 octahedra, and edges with four NiO6 octahedra. The corner-sharing octahedra tilt angles range from 12–16°. There are three shorter (2.10 Å) and three longer (2.12 Å) Li–O bond lengths. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one CoO6 octahedra, corners with five NiO6 octahedra, edges with six LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–8°. There are a spread of Li–O bond distances ranging from 2.11–2.27 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six NiO6 octahedra, edges with four LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–18°. There are a spread of Li–O bond distances ranging from 2.00–2.24 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six NiO6 octahedra, edges with six LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–9°. There are a spread of Li–O bond distances ranging from 2.06–2.13 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six NiO6 octahedra, edges with six LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–8°. There are a spread of Li–O bond distances ranging from 2.04–2.40 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six NiO6 octahedra, edges with six LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–10°. There are a spread of Li–O bond distances ranging from 2.05–2.37 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with six NiO6 octahedra, edges with four LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–17°. There are a spread of Li–O bond distances ranging from 1.98–2.42 Å. In the ninth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six NiO6 octahedra, edges with six LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–6°. There are a spread of Li–O bond distances ranging from 2.10–2.15 Å. In the tenth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six NiO6 octahedra, edges with six LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–8°. There are a spread of Li–O bond distances ranging from 2.09–2.14 Å. In the eleventh Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with six NiO6 octahedra, edges with four LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–18°. There are a spread of Li–O bond distances ranging from 1.98–2.30 Å. In the twelfth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six NiO6 octahedra, edges with six LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–7°. There are a spread of Li–O bond distances ranging from 2.08–2.15 Å. In the thirteenth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one CoO6 octahedra, corners with five NiO6 octahedra, edges with six LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–11°. There are a spread of Li–O bond distances ranging from 2.07–2.31 Å. In the fourteenth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one CoO6 octahedra, corners with five NiO6 octahedra, edges with six LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–8°. There are a spread of Li–O bond distances ranging from 2.10–2.35 Å. In the fifteenth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six NiO6 octahedra, edges with two equivalent CoO6 octahedra, edges with four LiO6 octahedra, and edges with four NiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–19°. There are a spread of Li–O bond distances ranging from 2.01–2.22 Å. In the sixteenth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six NiO6 octahedra, edges with two equivalent CoO6 octahedra, edges with four LiO6 octahedra, and edges with four NiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–15°. There are a spread of Li–O bond distances ranging from 1.98–2.30 Å. There are two inequivalent Co4+ sites. In the first Co4+ site, Co4+ is bonded to six O2- atoms to form CoO6 octahedra that share a cornercorner with one LiO6 octahedra, edges with two equivalent CoO6 octahedra, edges with four LiO6 octahedra, and edges with four NiO6 octahedra. The corner-sharing octahedral tilt angles are 8°. There are a spread of Co–O bond distances ranging from 1.88–1.96 Å. In the second Co4+ site, Co4+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with two LiO6 octahedra, edges with two equivalent CoO6 octahedra, edges with four LiO6 octahedra, and edges with four NiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–5°. There are a spread of Co–O bond distances ranging from 1.89–1.92 Å. There are eighteen inequivalent Ni+3.11+ sites. In the first Ni+3.11+ site, Ni+3.11+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six LiO6 octahedra, edges with two LiO6 octahedra, edges with two equivalent CoO6 octahedra, and edges with four NiO6 octahedra. The corner-sharing octahedra tilt angles range from 14–18°. There are a spread of Ni–O bond distances ranging from 1.96–2.14 Å. In the second Ni+3.11+ site, Ni+3.11+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent CoO6 octahedra, edges with four LiO6 octahedra, and edges with four NiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–16°. There are a spread of Ni–O bond distances ranging from 1.97–2.19 Å. In the third Ni+3.11+ site, Ni+3.11+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with three LiO6 octahedra, edges with five LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–7°. There are a spread of Ni–O bond distances ranging from 1.86–1.94 Å. In the fourth Ni+3.11+ site, Ni+3.11+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with three LiO6 octahedra, edges with five LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–8°. There are a spread of Ni–O bond distances ranging from 1.86–1.94 Å. In the fifth Ni+3.11+ site, Ni+3.11+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–10°. There are a spread of Ni–O bond distances ranging from 1.92–2.11 Å. In the sixth Ni+3.11+ site, Ni+3.11+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six LiO6 octahedra, edges with four LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–15°. There are a spread of Ni–O bond distances ranging from 1.90–2.17 Å. In the seventh Ni+3.11+ site, Ni+3.11+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with five LiO6 octahedra, edges with six LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–8°. There are a spread of Ni–O bond distances ranging from 1.92–2.14 Å. In the eighth Ni+3.11+ site, Ni+3.11+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with five LiO6 octahedra, edges with six LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–8°. There are a spread of Ni–O bond distances ranging from 1.92–2.11 Å. In the ninth Ni+3.11+ site, Ni+3.11+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–11°. There are a spread of Ni–O bond distances ranging from 1.91–2.16 Å. In the tenth Ni+3.11+ site, Ni+3.11+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six LiO6 octahedra, edges with four LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–17°. There are a spread of Ni–O bond distances ranging from 1.91–2.21 Å. In the eleventh Ni+3.11+ site, Ni+3.11+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with four LiO6 octahedra, edges with five LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–11°. There are a spread of Ni–O bond distances ranging from 1.89–2.14 Å. In the twelfth Ni+3.11+ site, Ni+3.11+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with four LiO6 octahedra, edges with five LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–10°. There are a spread of Ni–O bond distances ranging from 1.89–2.14 Å. In the thirteenth Ni+3.11+ site, Ni+3.11+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six LiO6 octahedra, edges with four LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–18°. There are a spread of Ni–O bond distances ranging from 1.92–2.16 Å. In the fourteenth Ni+3.11+ site, Ni+3.11+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–9°. There are a spread of Ni–O bond distances ranging from 1.91–2.13 Å. In the fifteenth Ni+3.11+ site, Ni+3.11+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with four LiO6 octahedra, edges with six LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedral tilt angles are 8°. There are a spread of Ni–O bond distances ranging from 1.87–1.93 Å. In the sixteenth Ni+3.11+ site, Ni+3.11+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with five LiO6 octahedra, edges with six LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–8°. There are a spread of Ni–O bond distances ranging from 1.93–2.12 Å. In the seventeenth Ni+3.11+ site, Ni+3.11+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent CoO6 octahedra, edges with four LiO6 octahedra, and edges with four NiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–19°. There are a spread of Ni–

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Li6Fe5O12 by Materials Project

Li6Fe5O12 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twelve inequivalent Li sites. In the first Li site, Li is bonded to six O atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with five FeO6 octahedra, edges with five LiO6 octahedra, and edges with five FeO6 octahedra. The corner-sharing octahedra tilt angles range from 3–15°. There are a spread of Li–O bond distances ranging from 2.08–2.29 Å. In the second Li site, Li is bonded to six O atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with five FeO6 octahedra, edges with five LiO6 octahedra, and edges with five FeO6 octahedra. The corner-sharing octahedra tilt angles range from 2–16°. There are a spread of Li–O bond distances ranging from 2.02–2.33 Å. In the third Li site, Li is bonded to six O atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with five FeO6 octahedra, edges with five LiO6 octahedra, and edges with five FeO6 octahedra. The corner-sharing octahedra tilt angles range from 4–14°. There are a spread of Li–O bond distances ranging from 2.05–2.30 Å. In the fourth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with five FeO6 octahedra, edges with five LiO6 octahedra, and edges with five FeO6 octahedra. The corner-sharing octahedra tilt angles range from 7–13°. There are a spread of Li–O bond distances ranging from 2.07–2.21 Å. In the fifth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with five FeO6 octahedra, edges with five FeO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–9°. There are a spread of Li–O bond distances ranging from 2.06–2.28 Å. In the sixth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with five FeO6 octahedra, edges with five FeO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–11°. There are a spread of Li–O bond distances ranging from 2.08–2.25 Å. In the seventh Li site, Li is bonded to six O atoms to form distorted LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with five FeO6 octahedra, edges with five FeO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–17°. There are a spread of Li–O bond distances ranging from 2.03–2.45 Å. In the eighth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with five FeO6 octahedra, edges with five FeO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–14°. There are a spread of Li–O bond distances ranging from 2.05–2.22 Å. In the ninth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with five LiO6 octahedra, edges with five LiO6 octahedra, and edges with six FeO6 octahedra. The corner-sharing octahedra tilt angles range from 7–14°. There are a spread of Li–O bond distances ranging from 2.09–2.16 Å. In the tenth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with five FeO6 octahedra, edges with five FeO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–10°. There are a spread of Li–O bond distances ranging from 2.04–2.29 Å. In the eleventh Li site, Li is bonded to six O atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with five FeO6 octahedra, edges with five FeO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–13°. There are a spread of Li–O bond distances ranging from 2.09–2.28 Å. In the twelfth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with five LiO6 octahedra, edges with five LiO6 octahedra, and edges with six FeO6 octahedra. The corner-sharing octahedra tilt angles range from 7–16°. There are a spread of Li–O bond distances ranging from 2.11–2.19 Å. There are ten inequivalent Fe sites. In the first Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with five LiO6 octahedra, edges with five LiO6 octahedra, and edges with six FeO6 octahedra. The corner-sharing octahedra tilt angles range from 4–14°. There are a spread of Fe–O bond distances ranging from 1.99–2.08 Å. In the second Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with five LiO6 octahedra, edges with five LiO6 octahedra, and edges with six FeO6 octahedra. The corner-sharing octahedra tilt angles range from 3–10°. There are a spread of Fe–O bond distances ranging from 2.01–2.06 Å. In the third Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with five LiO6 octahedra, edges with five LiO6 octahedra, and edges with six FeO6 octahedra. The corner-sharing octahedra tilt angles range from 3–11°. There are a spread of Fe–O bond distances ranging from 2.02–2.11 Å. In the fourth Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with five LiO6 octahedra, edges with five LiO6 octahedra, and edges with six FeO6 octahedra. The corner-sharing octahedra tilt angles range from 2–10°. There are a spread of Fe–O bond distances ranging from 1.90–2.10 Å. In the fifth Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with five LiO6 octahedra, edges with five LiO6 octahedra, and edges with six FeO6 octahedra. The corner-sharing octahedra tilt angles range from 3–12°. There are a spread of Fe–O bond distances ranging from 1.99–2.07 Å. In the sixth Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with five LiO6 octahedra, edges with five LiO6 octahedra, and edges with six FeO6 octahedra. The corner-sharing octahedra tilt angles range from 5–13°. There are a spread of Fe–O bond distances ranging from 2.01–2.07 Å. In the seventh Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with five LiO6 octahedra, edges with three FeO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–14°. There are a spread of Fe–O bond distances ranging from 1.91–2.05 Å. In the eighth Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with five LiO6 octahedra, edges with three FeO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–13°. There are a spread of Fe–O bond distances ranging from 1.85–2.05 Å. In the ninth Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with five LiO6 octahedra, edges with three FeO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–17°. There are a spread of Fe–O bond distances ranging from 1.88–2.08 Å. In the tenth Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with five LiO6 octahedra, edges with three FeO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–13°. There are a spread of Fe–O bond distances ranging from 1.89–1.94 Å. There are twenty-four inequivalent O sites. In the first O site, O is bonded to two Li and three Fe atoms to form OLi2Fe3 square pyramids that share corners with three OLi4Fe2 octahedra, corners with six OLi2Fe3 square pyramids, edges with five OLi3Fe3 octahedra, and edges with three OLi2Fe3 square pyramids. The corner-sharing octahedra tilt angles range from 4–9°. In the second O site, O is bonded to three Li and three Fe atoms to form OLi3Fe3 octahedra that share corners with three OLi4Fe2 octahedra, corners with three OLi2Fe3 square pyramids, edges with six OLi4Fe2 octahedra, and edges with six OLi2Fe3 square pyramids. The corner-sharing octahedra tilt angles range from 2–6°. In the third O site, O is bonded to three Li and three Fe atoms to form OLi3Fe3 octahedra that share corners with three OLi4Fe2 octahedra, corners with three OLi2Fe3 square pyramids, edges with six OLi4Fe2 octahedra, and edges with six OLi2Fe3 square pyramids. The corner-sharing octahedra tilt angles range from 2–9°. In the fourth O site, O is bonded to three Li and three Fe atoms to form OLi3Fe3 octahedra that share corners with three OLi3Fe3 octahedra, corners with three OLi2Fe3 square pyramids, edges with six OLi3Fe3 octahedra, and edges with six OLi2Fe3 square pyramids. The corner-sharing octahedra tilt angles range from 2–14°. In the fifth O site, O is bonded to three Li and three Fe atoms to form OLi3Fe3 octahedra that share corners with three OLi3Fe3 octahedra, corners with three OLi2Fe3 square pyramids, edges with six OLi3Fe3 octahedra, and edges with six OLi2Fe3 square pyramids. The corner-sharing octahedra tilt angles range from 1–6°. In the sixth O site, O is bonded to four Li and two Fe atoms to form OLi4Fe2 octahedra that share corners with three OLi4Fe2 octahedra, corners with three OLi3Fe2 square pyramids, edges with six OLi4Fe2 octahedra, and edges with six OLi2Fe3 square pyramids. The corner-sharing octahedra tilt angles range from 5–10°. In the seventh O site, O is bonded to two Li and three Fe atoms to form OLi2Fe3 square pyramids that share corners with three OLi3Fe3 octahedra, corners with six OLi2Fe3 square pyramids, edges with five OLi3Fe3 octahedra, and edges with three OLi2Fe3 square pyramids. The corner-sharing octahedra tilt angles range from 3–8°. In the eighth O site, O is bonded to four Li and two Fe atoms to form OLi4Fe2 octahedra that share corners with three OLi4Fe2 octahedra, corners with three OLi3Fe2 square pyramids, edges with six OLi4Fe2 octahedra, and edges with six OLi3Fe2 square pyramids. The corner-sharing octahedra tilt angles range from 2–14°. In the ninth O site, O is bonded to three Li and two Fe atoms to form OLi3Fe2 square pyramids that share corners with three OLi4Fe2 octahedra, corners with six OLi3Fe2 square pyramids, edges with five OLi4Fe2 octahedra, and edges with three OLi3Fe2 square pyramids. The corner-sharing octahedra tilt angles range from 6–7°. In the tenth O site, O is bonded to three Li and two Fe atoms to form OLi3Fe2 square pyramids that share corners with three OLi4Fe2 octahedra, corners with six OLi2Fe3 square pyramids, edges with five OLi4Fe2 octahedra, and edges with three OLi3Fe2 square pyramids. The corner-sharing octahedra tilt angles range from 3–7°. In the eleventh O site, O is bonded to four Li and two Fe atoms to form OLi4Fe2 octahedra that share corners with three OLi4Fe2 octahedra, corners with three OLi3Fe2 square pyramids, edges with six OLi4Fe2 octahedra, and edges with six OLi2Fe3 square pyramids. The corner-sharing octahedra tilt angles range from 2–9°. In the twelfth O site, O is bonded to four Li and two Fe atoms to form OLi4Fe2 octahedra that share corners with three OLi4Fe2 octahedra, corners with three OLi3Fe2 square pyramids, edges with six OLi4Fe2 octahedra, and edges with six OLi2Fe3 square pyramids. The corner-sharing octahedra tilt angles range from 4–8°. In the thirteenth O site, O is bonded to three Li and three Fe atoms to form OLi3Fe3 octahedra that share corners with three OLi4Fe2 octahedra, corners with three OLi3Fe2 square pyramids, edges with seven OLi4Fe2 octahedra, and edges with five OLi2Fe3 square pyramids. The corner-sharing octahedra tilt angles range from 1–8°. In the fourteenth O site, O is bonded to two Li and three Fe atoms to form OLi2Fe3 square pyramids that share corners with three OLi4Fe2 octahedra, corners with six OLi2Fe3 square pyramids, edges with six OLi4Fe2 octahedra, and edges with two OLi2Fe3 square pyramids. The corner-sharing octahe

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Li5(NiO2)4 by Materials Project

Li5(NiO2)4 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twenty inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a trigonal planar geometry to three O2- atoms. All Li–O bond lengths are 1.84 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with six NiO6 octahedra, edges with four LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–9°. There are a spread of Li–O bond distances ranging from 1.99–2.26 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with six NiO6 octahedra, edges with four LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–9°. There are a spread of Li–O bond distances ranging from 2.00–2.27 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with six NiO6 octahedra, edges with four LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–9°. There are a spread of Li–O bond distances ranging from 2.00–2.26 Å. In the fifth Li1+ site, Li1+ is bonded in a trigonal planar geometry to three O2- atoms. All Li–O bond lengths are 1.84 Å. In the sixth Li1+ site, Li1+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.84 Å) and two longer (1.85 Å) Li–O bond length. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with six NiO6 octahedra, edges with four LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–9°. There are a spread of Li–O bond distances ranging from 1.99–2.30 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with six NiO6 octahedra, edges with four LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–9°. There are a spread of Li–O bond distances ranging from 1.99–2.27 Å. In the ninth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with six NiO6 octahedra, edges with four LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–9°. There are a spread of Li–O bond distances ranging from 2.00–2.28 Å. In the tenth Li1+ site, Li1+ is bonded in a trigonal planar geometry to three O2- atoms. All Li–O bond lengths are 1.84 Å. In the eleventh Li1+ site, Li1+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.84 Å) and two longer (1.85 Å) Li–O bond length. In the twelfth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with six NiO6 octahedra, edges with four LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–8°. There are a spread of Li–O bond distances ranging from 2.00–2.26 Å. In the thirteenth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with six NiO6 octahedra, edges with four LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–8°. There are a spread of Li–O bond distances ranging from 1.99–2.29 Å. In the fourteenth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with six NiO6 octahedra, edges with four LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–9°. There are a spread of Li–O bond distances ranging from 1.99–2.25 Å. In the fifteenth Li1+ site, Li1+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.84 Å) and one longer (1.85 Å) Li–O bond length. In the sixteenth Li1+ site, Li1+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.84 Å) and one longer (1.85 Å) Li–O bond length. In the seventeenth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with six NiO6 octahedra, edges with four LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–8°. There are a spread of Li–O bond distances ranging from 2.00–2.28 Å. In the eighteenth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with six NiO6 octahedra, edges with four LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–9°. There are a spread of Li–O bond distances ranging from 1.99–2.25 Å. In the nineteenth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with six NiO6 octahedra, edges with four LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–9°. There are a spread of Li–O bond distances ranging from 1.99–2.27 Å. In the twentieth Li1+ site, Li1+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.84 Å) and two longer (1.85 Å) Li–O bond length. There are sixteen inequivalent Ni+2.75+ sites. In the first Ni+2.75+ site, Ni+2.75+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six LiO6 octahedra, edges with three LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–7°. There are a spread of Ni–O bond distances ranging from 2.01–2.04 Å. In the second Ni+2.75+ site, Ni+2.75+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six LiO6 octahedra, edges with three LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–6°. There are four shorter (2.02 Å) and two longer (2.04 Å) Ni–O bond lengths. In the third Ni+2.75+ site, Ni+2.75+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six LiO6 octahedra, edges with three LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–7°. There are a spread of Ni–O bond distances ranging from 2.01–2.04 Å. In the fourth Ni+2.75+ site, Ni+2.75+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six LiO6 octahedra, edges with three LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–6°. There are a spread of Ni–O bond distances ranging from 2.01–2.04 Å. In the fifth Ni+2.75+ site, Ni+2.75+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with four LiO6 octahedra, edges with five LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–9°. There are a spread of Ni–O bond distances ranging from 1.99–2.08 Å. In the sixth Ni+2.75+ site, Ni+2.75+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with four LiO6 octahedra, edges with five LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–9°. There are a spread of Ni–O bond distances ranging from 1.98–2.07 Å. In the seventh Ni+2.75+ site, Ni+2.75+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with four LiO6 octahedra, edges with five LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–9°. There are a spread of Ni–O bond distances ranging from 2.02–2.09 Å. In the eighth Ni+2.75+ site, Ni+2.75+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with four LiO6 octahedra, edges with five LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–9°. There are a spread of Ni–O bond distances ranging from 2.00–2.08 Å. In the ninth Ni+2.75+ site, Ni+2.75+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with four LiO6 octahedra, edges with five LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–9°. There are a spread of Ni–O bond distances ranging from 2.03–2.09 Å. In the tenth Ni+2.75+ site, Ni+2.75+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with four LiO6 octahedra, edges with five LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–9°. There are a spread of Ni–O bond distances ranging from 1.98–2.07 Å. In the eleventh Ni+2.75+ site, Ni+2.75+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with four LiO6 octahedra, edges with five LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–9°. There are a spread of Ni–O bond distances ranging from 1.99–2.09 Å. In the twelfth Ni+2.75+ site, Ni+2.75+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with four LiO6 octahedra, edges with five LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–9°. There are a spread of Ni–O bond distances ranging from 2.00–2.08 Å. In the thirteenth Ni+2.75+ site, Ni+2.75+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with four LiO6 octahedra, edges with five LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–8°. There are a spread of Ni–O bond distances ranging from 2.01–2.08 Å. In the fourteenth Ni+2.75+ site, Ni+2.75+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with four LiO6 octahedra, edges with five LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–9°. There are a spread of Ni–O bond distances ranging from 1.97–2.07 Å. In the fifteenth Ni+2.75+ site, Ni+2.75+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with four LiO6 octahedra, edges with five LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–9°. There are a spread of Ni–O bond distances ranging from 1.99–2.07 Å. In the sixteenth Ni+2.75+ site, Ni+2.75+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with four LiO6 octahedra, edges with five LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–9°. There are a spread of Ni–O bond distances ranging from 1.99–2.08 Å. There are thirty-two inequivalent O2- sites. In the first O2- site, O2- is bonded to three Li1+ and three Ni+2.75+ atoms to form a mixture of distorted edge and corner-sharing OLi3Ni3 octahedra. The corner-sharing octahedra tilt angles range from 2–85°. In the second O2- site, O2- is bonded to three Li1+ and three Ni+2.75+ atoms to form a mixture of distorted edge and corner-sharing OLi3Ni3 octahedra. The corner-sharing octahedra tilt angles range from 2–85°. In the third O2- site, O2- is bonded to three Li1+ and three Ni+2.75+ atoms to form a mixture of edge and corner-sharing OLi3Ni3 octahedra. The corner-sharing octahedra tilt angles range from 2–8°. In the fourth O2- site, O2- is bonded to three Li1+ and three Ni+2.75+ atoms to form a mixture of distorted edge and corner-sharing OLi3Ni3 octahedra. The corner-sharing octahedra tilt angles range from 2–85°. In the fifth O2- site, O2- is bonded to three Li1+ and three Ni+2.75+ atoms to form a mixture of distorted edge and corner-sharing OLi3Ni3 octahedra. The corner-sharing octahedra tilt angles range from 2–85°. In the sixth O2- site, O2- is bonded to three Li1+ and three Ni+2.75+ atoms to form a mixture of edge and corner-sharing OLi3Ni3 octahedra. The corner-sharing octahedra tilt angles range from 2–8°. In the seventh O2- site, O2- is bonded to three Li1+ and three Ni+2.75+ atoms to form a mixture of distorted edge and corner-sharing OLi3Ni3 octahedra. The corner-sharing

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on BaTi14O28 by Materials Project

BaTi14O28 is zeta iron carbide-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are two inequivalent Ba2+ sites. In the first Ba2+ site, Ba2+ is bonded in a 8-coordinate geometry to ten O2- atoms. There are a spread of Ba–O bond distances ranging from 2.98–3.29 Å. In the second Ba2+ site, Ba2+ is bonded in a 8-coordinate geometry to ten O2- atoms. There are a spread of Ba–O bond distances ranging from 2.97–3.28 Å. There are twenty-eight inequivalent Ti+3.86+ sites. In the first Ti+3.86+ site, Ti+3.86+ 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 47–51°. There are a spread of Ti–O bond distances ranging from 1.94–2.04 Å. In the second Ti+3.86+ site, Ti+3.86+ 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 47–49°. There are a spread of Ti–O bond distances ranging from 1.90–2.08 Å. In the third Ti+3.86+ site, Ti+3.86+ 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 47–49°. There are a spread of Ti–O bond distances ranging from 1.91–2.07 Å. In the fourth Ti+3.86+ site, Ti+3.86+ 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 47–51°. There are a spread of Ti–O bond distances ranging from 1.93–2.03 Å. In the fifth Ti+3.86+ site, Ti+3.86+ 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 49–50°. There are a spread of Ti–O bond distances ranging from 1.94–2.04 Å. In the sixth Ti+3.86+ site, Ti+3.86+ 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 47–52°. There are a spread of Ti–O bond distances ranging from 1.95–2.04 Å. In the seventh Ti+3.86+ site, Ti+3.86+ 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 47–49°. There are a spread of Ti–O bond distances ranging from 1.91–2.07 Å. In the eighth Ti+3.86+ site, Ti+3.86+ 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 48–50°. There are a spread of Ti–O bond distances ranging from 1.93–2.03 Å. In the ninth Ti+3.86+ site, Ti+3.86+ 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 47–51°. There are a spread of Ti–O bond distances ranging from 1.93–2.03 Å. In the tenth Ti+3.86+ site, Ti+3.86+ 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 49–50°. There are a spread of Ti–O bond distances ranging from 1.94–2.04 Å. In the eleventh Ti+3.86+ site, Ti+3.86+ 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 47–49°. There are a spread of Ti–O bond distances ranging from 1.90–2.08 Å. In the twelfth Ti+3.86+ site, Ti+3.86+ 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 47–51°. There are a spread of Ti–O bond distances ranging from 1.93–2.04 Å. In the thirteenth Ti+3.86+ site, Ti+3.86+ 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 47–52°. There are a spread of Ti–O bond distances ranging from 1.93–2.03 Å. In the fourteenth Ti+3.86+ site, Ti+3.86+ 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 47–51°. There are a spread of Ti–O bond distances ranging from 1.94–2.05 Å. In the fifteenth Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedral tilt angles are 50°. There are a spread of Ti–O bond distances ranging from 1.95–2.03 Å. In the sixteenth Ti+3.86+ site, Ti+3.86+ 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 47–52°. There are a spread of Ti–O bond distances ranging from 1.93–2.03 Å. In the seventeenth Ti+3.86+ site, Ti+3.86+ 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 47–51°. There are a spread of Ti–O bond distances ranging from 1.94–2.04 Å. In the eighteenth Ti+3.86+ site, Ti+3.86+ 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 47–51°. There are a spread of Ti–O bond distances ranging from 1.94–2.02 Å. In the nineteenth Ti+3.86+ site, Ti+3.86+ 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 49–51°. There are a spread of Ti–O bond distances ranging from 1.95–2.04 Å. In the twentieth Ti+3.86+ site, Ti+3.86+ 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 47–52°. There are a spread of Ti–O bond distances ranging from 1.95–2.04 Å. In the twenty-first Ti+3.86+ site, Ti+3.86+ 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 48–50°. There are a spread of Ti–O bond distances ranging from 1.94–2.04 Å. In the twenty-second Ti+3.86+ site, Ti+3.86+ 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 48–50°. There are a spread of Ti–O bond distances ranging from 1.94–2.03 Å. In the twenty-third Ti+3.86+ site, Ti+3.86+ 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 47–49°. There are a spread of Ti–O bond distances ranging from 1.93–2.03 Å. In the twenty-fourth Ti+3.86+ site, Ti+3.86+ 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 1.96–2.04 Å. In the twenty-fifth Ti+3.86+ site, Ti+3.86+ 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 47–49°. There are a spread of Ti–O bond distances ranging from 1.93–2.03 Å. In the twenty-sixth Ti+3.86+ site, Ti+3.86+ 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 1.96–2.04 Å. In the twenty-seventh Ti+3.86+ site, Ti+3.86+ 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 49–51°. There are a spread of Ti–O bond distances ranging from 1.95–2.04 Å. In the twenty-eighth Ti+3.86+ site, Ti+3.86+ 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 47–51°. There are a spread of Ti–O bond distances ranging from 1.94–2.02 Å. There are fifty-six inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to one Ba2+ and three Ti+3.86+ atoms. In the second O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti+3.86+ atoms. In the third O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti+3.86+ atoms. In the fourth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti+3.86+ atoms. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the seventh O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti+3.86+ atoms. In the eighth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti+3.86+ atoms. In the ninth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti+3.86+ atoms. In the tenth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti+3.86+ atoms. In the eleventh O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti+3.86+ atoms. In the twelfth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti+3.86+ atoms. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti+3.86+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the fifteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the sixteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the seventeenth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti+3.86+ atoms. In the eighteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti+3.86+ atoms. In the nineteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti+3.86+ atoms. In the twentieth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti+3.86+ atoms. In the twenty-first O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the twenty-second O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the twenty-third O2- site, O2- is bonded in a distorted trigonal planar geometry to one Ba2+ and three Ti+3.86+ atoms. In the twenty-fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the twenty-fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the twenty-sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the twenty-seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the twenty-eighth O2- site, O2- is bonded in a 3-coordinate geometry to one Ba2+ and three Ti+3.86+ atoms. In the twenty-ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Ba2+ and three Ti+3.86+ atoms. In the thirtieth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the thirty-first O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the thirty-second O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the thirty-third O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the thirty-fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the thirty-fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the thirty-sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the thirty-seventh O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti+3.86+ atoms. In the thirty-eighth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti+3.86+ atoms. In the thirty-ninth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti+3.86+ atoms. In the

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on BaTi14O28 by Materials Project

BaTi14O28 is zeta iron carbide-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are two inequivalent Ba2+ sites. In the first Ba2+ site, Ba2+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Ba–O bond distances ranging from 2.96–3.03 Å. In the second Ba2+ site, Ba2+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Ba–O bond distances ranging from 2.98–3.04 Å. There are twenty-eight inequivalent Ti+3.86+ sites. In the first Ti+3.86+ site, Ti+3.86+ 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 47–51°. There are a spread of Ti–O bond distances ranging from 1.94–2.05 Å. In the second Ti+3.86+ site, Ti+3.86+ 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 47–48°. There are a spread of Ti–O bond distances ranging from 1.92–2.07 Å. In the third Ti+3.86+ site, Ti+3.86+ 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 1.96–2.03 Å. In the fourth Ti+3.86+ site, Ti+3.86+ 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 47–50°. There are a spread of Ti–O bond distances ranging from 1.95–2.01 Å. In the fifth Ti+3.86+ site, Ti+3.86+ 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 47–48°. There are a spread of Ti–O bond distances ranging from 1.93–2.03 Å. In the sixth Ti+3.86+ site, Ti+3.86+ 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 47–51°. There are a spread of Ti–O bond distances ranging from 1.94–2.04 Å. In the seventh Ti+3.86+ site, Ti+3.86+ 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 1.95–2.05 Å. In the eighth Ti+3.86+ site, Ti+3.86+ 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 48–49°. There are a spread of Ti–O bond distances ranging from 1.92–2.07 Å. In the ninth Ti+3.86+ site, Ti+3.86+ 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 47–51°. There are a spread of Ti–O bond distances ranging from 1.94–2.04 Å. In the tenth Ti+3.86+ site, Ti+3.86+ 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 1.95–2.03 Å. In the eleventh Ti+3.86+ site, Ti+3.86+ 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 1.96–2.02 Å. In the twelfth Ti+3.86+ site, Ti+3.86+ 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 1.94–2.04 Å. In the thirteenth Ti+3.86+ site, Ti+3.86+ 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 47–51°. There are a spread of Ti–O bond distances ranging from 1.94–2.04 Å. In the fourteenth Ti+3.86+ site, Ti+3.86+ 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 1.95–2.05 Å. In the fifteenth Ti+3.86+ site, Ti+3.86+ 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 47–50°. There are a spread of Ti–O bond distances ranging from 1.95–2.01 Å. In the sixteenth Ti+3.86+ site, Ti+3.86+ 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 1.96–2.03 Å. In the seventeenth Ti+3.86+ site, Ti+3.86+ 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 47–48°. There are a spread of Ti–O bond distances ranging from 1.92–2.07 Å. In the eighteenth Ti+3.86+ site, Ti+3.86+ 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 47–51°. There are a spread of Ti–O bond distances ranging from 1.94–2.05 Å. In the nineteenth Ti+3.86+ site, Ti+3.86+ 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 48–49°. There are a spread of Ti–O bond distances ranging from 1.92–2.07 Å. In the twentieth Ti+3.86+ site, Ti+3.86+ 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 48–50°. There is three shorter (1.96 Å) and three longer (2.01 Å) Ti–O bond length. In the twenty-first Ti+3.86+ site, Ti+3.86+ 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 47–51°. There are a spread of Ti–O bond distances ranging from 1.95–2.01 Å. In the twenty-second Ti+3.86+ site, Ti+3.86+ 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 1.93–2.03 Å. In the twenty-third Ti+3.86+ site, Ti+3.86+ 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 48–50°. There are a spread of Ti–O bond distances ranging from 1.95–2.05 Å. In the twenty-fourth Ti+3.86+ site, Ti+3.86+ 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 47–50°. There are a spread of Ti–O bond distances ranging from 1.94–2.04 Å. In the twenty-fifth Ti+3.86+ site, Ti+3.86+ 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 47–50°. There are a spread of Ti–O bond distances ranging from 1.94–2.04 Å. In the twenty-sixth Ti+3.86+ site, Ti+3.86+ 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 48–50°. There are a spread of Ti–O bond distances ranging from 1.95–2.05 Å. In the twenty-seventh Ti+3.86+ site, Ti+3.86+ 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 47–51°. There are a spread of Ti–O bond distances ranging from 1.95–2.01 Å. In the twenty-eighth Ti+3.86+ site, Ti+3.86+ 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 48–50°. There are a spread of Ti–O bond distances ranging from 1.96–2.01 Å. There are fifty-six inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti+3.86+ atoms. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the third O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the eighth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti+3.86+ atoms. In the ninth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti+3.86+ atoms. In the tenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti+3.86+ atoms. In the eleventh O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the twelfth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the fifteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti+3.86+ atoms. In the sixteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti+3.86+ atoms. In the seventeenth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti+3.86+ atoms. In the eighteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti+3.86+ atoms. In the nineteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti+3.86+ atoms. In the twentieth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti+3.86+ atoms. In the twenty-first O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the twenty-second O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti+3.86+ atoms. In the twenty-third O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti+3.86+ atoms. In the twenty-fourth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti+3.86+ atoms. In the twenty-fifth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti+3.86+ atoms. In the twenty-sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the twenty-seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the twenty-eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the twenty-ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the thirtieth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the thirty-first O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the thirty-second O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti+3.86+ atoms. In the thirty-third O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti+3.86+ atoms. In the thirty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti+3.86+ atoms. In the thirty-fifth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti+3.86+ atoms. In the thirty-sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the thirty-seventh O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti+3.86+ atoms. In the thirty-eighth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti+3.86+ atoms. In the thirty-ninth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Ba20Nb19Se60 by Materials Project

Ba20Nb19Se60 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are ten inequivalent Ba sites. In the first Ba site, Ba is bonded to twelve Se atoms to form BaSe12 cuboctahedra that share corners with six BaSe12 cuboctahedra, corners with five NbSe6 octahedra, faces with eight BaSe12 cuboctahedra, and faces with six NbSe6 octahedra. The corner-sharing octahedra tilt angles range from 20–25°. There are a spread of Ba–Se bond distances ranging from 3.49–3.68 Å. In the second Ba site, Ba is bonded to twelve Se atoms to form BaSe12 cuboctahedra that share corners with six BaSe12 cuboctahedra, corners with five NbSe6 octahedra, faces with eight BaSe12 cuboctahedra, and faces with six NbSe6 octahedra. The corner-sharing octahedra tilt angles range from 16–25°. There are a spread of Ba–Se bond distances ranging from 3.50–3.69 Å. In the third Ba site, Ba is bonded to twelve Se atoms to form BaSe12 cuboctahedra that share corners with six BaSe12 cuboctahedra, corners with six NbSe6 octahedra, faces with eight BaSe12 cuboctahedra, and faces with five NbSe6 octahedra. The corner-sharing octahedra tilt angles range from 21–30°. There are a spread of Ba–Se bond distances ranging from 3.53–3.71 Å. In the fourth Ba site, Ba is bonded to twelve Se atoms to form BaSe12 cuboctahedra that share corners with six BaSe12 cuboctahedra, corners with six NbSe6 octahedra, faces with eight BaSe12 cuboctahedra, and faces with six NbSe6 octahedra. The corner-sharing octahedra tilt angles range from 21–22°. There are a spread of Ba–Se bond distances ranging from 3.58–3.62 Å. In the fifth Ba site, Ba is bonded to twelve Se atoms to form BaSe12 cuboctahedra that share corners with six BaSe12 cuboctahedra, corners with six NbSe6 octahedra, faces with eight BaSe12 cuboctahedra, and faces with six NbSe6 octahedra. The corner-sharing octahedra tilt angles range from 15–23°. There are a spread of Ba–Se bond distances ranging from 3.55–3.64 Å. In the sixth Ba site, Ba is bonded to twelve Se atoms to form BaSe12 cuboctahedra that share corners with six BaSe12 cuboctahedra, corners with six NbSe6 octahedra, faces with eight BaSe12 cuboctahedra, and faces with six NbSe6 octahedra. The corner-sharing octahedra tilt angles range from 21–22°. There are a spread of Ba–Se bond distances ranging from 3.55–3.62 Å. In the seventh Ba site, Ba is bonded to twelve Se atoms to form BaSe12 cuboctahedra that share corners with six BaSe12 cuboctahedra, corners with five NbSe6 octahedra, faces with eight BaSe12 cuboctahedra, and faces with six NbSe6 octahedra. The corner-sharing octahedra tilt angles range from 21–25°. There are a spread of Ba–Se bond distances ranging from 3.49–3.67 Å. In the eighth Ba site, Ba is bonded to twelve Se atoms to form BaSe12 cuboctahedra that share corners with six BaSe12 cuboctahedra, corners with six NbSe6 octahedra, faces with eight BaSe12 cuboctahedra, and faces with five NbSe6 octahedra. The corner-sharing octahedra tilt angles range from 20–30°. There are a spread of Ba–Se bond distances ranging from 3.53–3.71 Å. In the ninth Ba site, Ba is bonded to twelve Se atoms to form BaSe12 cuboctahedra that share corners with six BaSe12 cuboctahedra, corners with six NbSe6 octahedra, faces with eight BaSe12 cuboctahedra, and faces with five NbSe6 octahedra. The corner-sharing octahedra tilt angles range from 20–30°. There are a spread of Ba–Se bond distances ranging from 3.53–3.72 Å. In the tenth Ba site, Ba is bonded to twelve Se atoms to form BaSe12 cuboctahedra that share corners with six BaSe12 cuboctahedra, corners with six NbSe6 octahedra, faces with eight BaSe12 cuboctahedra, and faces with six NbSe6 octahedra. The corner-sharing octahedra tilt angles range from 16–23°. There are a spread of Ba–Se bond distances ranging from 3.55–3.64 Å. There are eleven inequivalent Nb sites. In the first Nb site, Nb is bonded to six Se atoms to form distorted NbSe6 octahedra that share corners with six BaSe12 cuboctahedra, faces with six BaSe12 cuboctahedra, and a faceface with one NbSe6 octahedra. There are a spread of Nb–Se bond distances ranging from 2.46–2.83 Å. In the second Nb site, Nb is bonded to six Se atoms to form NbSe6 octahedra that share corners with six BaSe12 cuboctahedra, faces with six BaSe12 cuboctahedra, and faces with two NbSe6 octahedra. There are a spread of Nb–Se bond distances ranging from 2.60–2.68 Å. In the third Nb site, Nb is bonded to six Se atoms to form NbSe6 octahedra that share corners with six BaSe12 cuboctahedra, faces with six BaSe12 cuboctahedra, and faces with two NbSe6 octahedra. There are three shorter (2.63 Å) and three longer (2.65 Å) Nb–Se bond lengths. In the fourth Nb site, Nb is bonded to six Se atoms to form NbSe6 octahedra that share corners with six BaSe12 cuboctahedra, faces with six BaSe12 cuboctahedra, and faces with two NbSe6 octahedra. There are five shorter (2.64 Å) and one longer (2.65 Å) Nb–Se bond lengths. In the fifth Nb site, Nb is bonded to six Se atoms to form NbSe6 octahedra that share corners with six BaSe12 cuboctahedra, faces with six BaSe12 cuboctahedra, and faces with two NbSe6 octahedra. There are three shorter (2.59 Å) and three longer (2.69 Å) Nb–Se bond lengths. In the sixth Nb site, Nb is bonded to six Se atoms to form NbSe6 octahedra that share corners with six BaSe12 cuboctahedra, faces with six BaSe12 cuboctahedra, and faces with two NbSe6 octahedra. There are four shorter (2.64 Å) and two longer (2.65 Å) Nb–Se bond lengths. In the seventh Nb site, Nb is bonded to six Se atoms to form NbSe6 octahedra that share corners with six BaSe12 cuboctahedra, faces with six BaSe12 cuboctahedra, and faces with two NbSe6 octahedra. There are three shorter (2.64 Å) and three longer (2.65 Å) Nb–Se bond lengths. In the eighth Nb site, Nb is bonded to six Se atoms to form NbSe6 octahedra that share corners with six BaSe12 cuboctahedra, faces with six BaSe12 cuboctahedra, and faces with two NbSe6 octahedra. There are five shorter (2.64 Å) and one longer (2.65 Å) Nb–Se bond lengths. In the ninth Nb site, Nb is bonded to six Se atoms to form NbSe6 octahedra that share corners with six BaSe12 cuboctahedra, faces with six BaSe12 cuboctahedra, and faces with two equivalent NbSe6 octahedra. All Nb–Se bond lengths are 2.64 Å. In the tenth Nb site, Nb is bonded to six Se atoms to form NbSe6 octahedra that share corners with six BaSe12 cuboctahedra, faces with six BaSe12 cuboctahedra, and faces with two equivalent NbSe6 octahedra. All Nb–Se bond lengths are 2.64 Å. In the eleventh Nb site, Nb is bonded to six Se atoms to form NbSe6 octahedra that share corners with six BaSe12 cuboctahedra, faces with six BaSe12 cuboctahedra, and faces with two equivalent NbSe6 octahedra. All Nb–Se bond lengths are 2.64 Å. There are thirty inequivalent Se sites. In the first Se site, Se is bonded to four Ba and two Nb atoms to form a mixture of distorted face, edge, and corner-sharing SeBa4Nb2 octahedra. The corner-sharing octahedra tilt angles range from 0–68°. In the second Se site, Se is bonded in a distorted single-bond geometry to four Ba and one Nb atom. In the third Se site, Se is bonded to four Ba and two Nb atoms to form a mixture of distorted face, edge, and corner-sharing SeBa4Nb2 octahedra. The corner-sharing octahedra tilt angles range from 0–68°. In the fourth Se site, Se is bonded to four Ba and two Nb atoms to form a mixture of distorted face, edge, and corner-sharing SeBa4Nb2 octahedra. The corner-sharing octahedra tilt angles range from 2–67°. In the fifth Se site, Se is bonded in a distorted single-bond geometry to four Ba and one Nb atom. In the sixth Se site, Se is bonded to four Ba and two Nb atoms to form a mixture of distorted face, edge, and corner-sharing SeBa4Nb2 octahedra. The corner-sharing octahedra tilt angles range from 0–69°. In the seventh Se site, Se is bonded to four Ba and two Nb atoms to form a mixture of distorted face, edge, and corner-sharing SeBa4Nb2 octahedra. The corner-sharing octahedra tilt angles range from 1–69°. In the eighth Se site, Se is bonded to four Ba and two Nb atoms to form a mixture of distorted face, edge, and corner-sharing SeBa4Nb2 octahedra. The corner-sharing octahedra tilt angles range from 0–69°. In the ninth Se site, Se is bonded to four Ba and two Nb atoms to form a mixture of distorted face, edge, and corner-sharing SeBa4Nb2 octahedra. The corner-sharing octahedra tilt angles range from 0–69°. In the tenth Se site, Se is bonded to four Ba and two Nb atoms to form a mixture of distorted face, edge, and corner-sharing SeBa4Nb2 octahedra. The corner-sharing octahedra tilt angles range from 0–69°. In the eleventh Se site, Se is bonded to four Ba and two Nb atoms to form a mixture of distorted face, edge, and corner-sharing SeBa4Nb2 octahedra. The corner-sharing octahedra tilt angles range from 1–69°. In the twelfth Se site, Se is bonded to four Ba and two Nb atoms to form a mixture of distorted face, edge, and corner-sharing SeBa4Nb2 octahedra. The corner-sharing octahedra tilt angles range from 2–68°. In the thirteenth Se site, Se is bonded to four Ba and two Nb atoms to form a mixture of distorted face, edge, and corner-sharing SeBa4Nb2 octahedra. The corner-sharing octahedra tilt angles range from 1–68°. In the fourteenth Se site, Se is bonded to four Ba and two Nb atoms to form a mixture of distorted face, edge, and corner-sharing SeBa4Nb2 octahedra. The corner-sharing octahedra tilt angles range from 0–68°. In the fifteenth Se site, Se is bonded to four Ba and two Nb atoms to form a mixture of distorted face, edge, and corner-sharing SeBa4Nb2 octahedra. The corner-sharing octahedra tilt angles range from 2–68°. In the sixteenth Se site, Se is bonded to four Ba and two Nb atoms to form a mixture of distorted face, edge, and corner-sharing SeBa4Nb2 octahedra. The corner-sharing octahedra tilt angles range from 0–69°. In the seventeenth Se site, Se is bonded to four Ba and two Nb atoms to form a mixture of distorted face, edge, and corner-sharing SeBa4Nb2 octahedra. The corner-sharing octahedra tilt angles range from 0–68°. In the eighteenth Se site, Se is bonded to four Ba and two Nb atoms to form a mixture of distorted face, edge, and corner-sharing SeBa4Nb2 octahedra. The corner-sharing octahedra tilt angles range from 0–68°. In the nineteenth Se site, Se is bonded to four Ba and two Nb atoms to form a mixture of distorted face, edge, and corner-sharing SeBa4Nb2 octahedra. The corner-sharing octahedra tilt angles range from 0–69°. In the twentieth Se site, Se is bonded to four Ba and two Nb atoms to form a mixture of distorted face, edge, and corner-sharing SeBa4Nb2 octahedra. The corner-sharing octahedra tilt angles range from 0–69°. In the twenty-first Se site, Se is bonded to four Ba and two Nb atoms to form a mixture of distorted face, edge, and corner-sharing SeBa4Nb2 octahedra. The corner-sharing octahedra tilt angles range from 1–68°. In the twenty-second Se site, Se is bonded to four Ba and two Nb atoms to form a mixture of distorted face, edge, and corner-sharing SeBa4Nb2 octahedra. The corner-sharing octahedra tilt angles range from 1–69°. In the twenty-third Se site, Se is bonded to four Ba and two Nb atoms to form a mixture of distorted face, edge, and corner-sharing SeBa4Nb2 octahedra. The corner-sharing octahedra tilt angles range from 0–69°. In the twenty-fourth Se site, Se is bonded to four Ba and two Nb atoms to form a mixture of distorted face, edge, and corner-sharing SeBa4Nb2 octahedra. The corner-sharing octahedra tilt angles range from 0–69°. In the twenty-fifth Se site, Se is bonded to four Ba and two Nb atoms to form a mixture of distorted face, edge, and corner-sharing SeBa4Nb2 octahedra. The corner-sharing octahedra tilt angles range from 0–68°. In the twenty-sixth Se site, Se is bonded to four Ba and two Nb atoms to form a mixture of distorted face, edge, and corner-sharing SeBa4Nb2 octahedra. The corner-sharing octahedra tilt angles range f

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Li5Fe11O16 by Materials Project

Li5Fe11O16 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 corners with six FeO6 octahedra, edges with four LiO6 octahedra, and edges with eight FeO6 octahedra. The corner-sharing octahedra tilt angles range from 1–9°. There are a spread of Li–O bond distances ranging from 2.10–2.25 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six FeO6 octahedra, edges with four LiO6 octahedra, and edges with eight FeO6 octahedra. The corner-sharing octahedra tilt angles range from 1–8°. There are a spread of Li–O bond distances ranging from 2.07–2.22 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six FeO6 octahedra, edges with two equivalent LiO6 octahedra, and edges with ten FeO6 octahedra. The corner-sharing octahedra tilt angles range from 2–8°. There are a spread of Li–O bond distances ranging from 2.06–2.22 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six FeO6 octahedra, edges with four LiO6 octahedra, and edges with eight FeO6 octahedra. The corner-sharing octahedra tilt angles range from 1–6°. There are a spread of Li–O bond distances ranging from 2.10–2.28 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six FeO6 octahedra, edges with two equivalent LiO6 octahedra, and edges with ten FeO6 octahedra. The corner-sharing octahedra tilt angles range from 2–7°. There are a spread of Li–O bond distances ranging from 2.08–2.28 Å. There are eleven inequivalent Fe+2.45+ sites. In the first Fe+2.45+ site, Fe+2.45+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six FeO6 octahedra, edges with six LiO6 octahedra, and edges with six FeO6 octahedra. The corner-sharing octahedra tilt angles range from 1–9°. There are a spread of Fe–O bond distances ranging from 2.02–2.24 Å. In the second Fe+2.45+ site, Fe+2.45+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with three equivalent LiO6 octahedra, corners with three equivalent FeO6 octahedra, edges with four LiO6 octahedra, and edges with eight FeO6 octahedra. The corner-sharing octahedra tilt angles range from 1–7°. There are a spread of Fe–O bond distances ranging from 1.97–2.15 Å. In the third Fe+2.45+ site, Fe+2.45+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six LiO6 octahedra, edges with three LiO6 octahedra, and edges with nine FeO6 octahedra. The corner-sharing octahedra tilt angles range from 5–7°. There are a spread of Fe–O bond distances ranging from 2.00–2.14 Å. In the fourth Fe+2.45+ site, Fe+2.45+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six LiO6 octahedra, edges with three LiO6 octahedra, and edges with nine FeO6 octahedra. The corner-sharing octahedra tilt angles range from 1–9°. There are a spread of Fe–O bond distances ranging from 2.06–2.18 Å. In the fifth Fe+2.45+ site, Fe+2.45+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six LiO6 octahedra, edges with three LiO6 octahedra, and edges with nine FeO6 octahedra. The corner-sharing octahedra tilt angles range from 1–8°. There are a spread of Fe–O bond distances ranging from 2.07–2.17 Å. In the sixth Fe+2.45+ site, Fe+2.45+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six FeO6 octahedra, edges with four LiO6 octahedra, and edges with eight FeO6 octahedra. The corner-sharing octahedra tilt angles range from 2–8°. There are a spread of Fe–O bond distances ranging from 2.09–2.26 Å. In the seventh Fe+2.45+ site, Fe+2.45+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six FeO6 octahedra, edges with five LiO6 octahedra, and edges with seven FeO6 octahedra. The corner-sharing octahedra tilt angles range from 1–8°. There are a spread of Fe–O bond distances ranging from 2.14–2.22 Å. In the eighth Fe+2.45+ site, Fe+2.45+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six FeO6 octahedra, edges with four LiO6 octahedra, and edges with eight FeO6 octahedra. The corner-sharing octahedra tilt angles range from 3–7°. There are a spread of Fe–O bond distances ranging from 2.00–2.21 Å. In the ninth Fe+2.45+ site, Fe+2.45+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six FeO6 octahedra, edges with five LiO6 octahedra, and edges with seven FeO6 octahedra. The corner-sharing octahedra tilt angles range from 2–9°. There are a spread of Fe–O bond distances ranging from 2.04–2.13 Å. In the tenth Fe+2.45+ site, Fe+2.45+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with three equivalent LiO6 octahedra, corners with three equivalent FeO6 octahedra, edges with four LiO6 octahedra, and edges with eight FeO6 octahedra. The corner-sharing octahedra tilt angles range from 3–6°. There are a spread of Fe–O bond distances ranging from 2.05–2.28 Å. In the eleventh Fe+2.45+ site, Fe+2.45+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six LiO6 octahedra, edges with three LiO6 octahedra, and edges with nine FeO6 octahedra. The corner-sharing octahedra tilt angles range from 3–8°. There are a spread of Fe–O bond distances ranging from 2.06–2.19 Å. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded to two Li1+ and four Fe+2.45+ atoms to form OLi2Fe4 octahedra that share corners with six OLi2Fe4 octahedra and edges with twelve OLiFe5 octahedra. The corner-sharing octahedra tilt angles range from 3–8°. In the second O2- site, O2- is bonded to one Li1+ and five Fe+2.45+ atoms to form OLiFe5 octahedra that share corners with six OLiFe5 octahedra and edges with twelve OLi2Fe4 octahedra. The corner-sharing octahedra tilt angles range from 2–6°. In the third O2- site, O2- is bonded to two Li1+ and four Fe+2.45+ atoms to form a mixture of corner and edge-sharing OLi2Fe4 octahedra. The corner-sharing octahedra tilt angles range from 2–5°. In the fourth O2- site, O2- is bonded to two Li1+ and four Fe+2.45+ atoms to form a mixture of corner and edge-sharing OLi2Fe4 octahedra. The corner-sharing octahedra tilt angles range from 1–4°. In the fifth O2- site, O2- is bonded to three Li1+ and three Fe+2.45+ atoms to form OLi3Fe3 octahedra that share corners with six OLi3Fe3 octahedra and edges with twelve OLi2Fe4 octahedra. The corner-sharing octahedra tilt angles range from 0–5°. In the sixth O2- site, O2- is bonded to two Li1+ and four Fe+2.45+ atoms to form OLi2Fe4 octahedra that share corners with six OLi3Fe3 octahedra and edges with twelve OLiFe5 octahedra. The corner-sharing octahedra tilt angles range from 1–5°. In the seventh O2- site, O2- is bonded to two Li1+ and four Fe+2.45+ atoms to form a mixture of corner and edge-sharing OLi2Fe4 octahedra. The corner-sharing octahedra tilt angles range from 1–5°. In the eighth O2- site, O2- is bonded to two Li1+ and four Fe+2.45+ atoms to form OLi2Fe4 octahedra that share corners with six OLi3Fe3 octahedra and edges with twelve OLi2Fe4 octahedra. The corner-sharing octahedra tilt angles range from 0–5°. In the ninth O2- site, O2- is bonded to one Li1+ and five Fe+2.45+ atoms to form OLiFe5 octahedra that share corners with six OLi2Fe4 octahedra and edges with twelve OLiFe5 octahedra. The corner-sharing octahedra tilt angles range from 2–6°. In the tenth O2- site, O2- is bonded to one Li1+ and five Fe+2.45+ atoms to form OLiFe5 octahedra that share corners with six OLiFe5 octahedra and edges with twelve OLi2Fe4 octahedra. The corner-sharing octahedra tilt angles range from 2–5°. In the eleventh O2- site, O2- is bonded to two Li1+ and four Fe+2.45+ atoms to form OLi2Fe4 octahedra that share corners with six OLiFe5 octahedra and edges with twelve OLi2Fe4 octahedra. The corner-sharing octahedra tilt angles range from 3–6°. In the twelfth O2- site, O2- is bonded to two Li1+ and four Fe+2.45+ atoms to form OLi2Fe4 octahedra that share corners with six OLiFe5 octahedra and edges with twelve OLi2Fe4 octahedra. The corner-sharing octahedra tilt angles range from 2–8°. In the thirteenth O2- site, O2- is bonded to two Li1+ and four Fe+2.45+ atoms to form OLi2Fe4 octahedra that share corners with six OLiFe5 octahedra and edges with twelve OLi2Fe4 octahedra. The corner-sharing octahedra tilt angles range from 2–5°. In the fourteenth O2- site, O2- is bonded to one Li1+ and five Fe+2.45+ atoms to form a mixture of corner and edge-sharing OLiFe5 octahedra. The corner-sharing octahedra tilt angles range from 3–5°. In the fifteenth O2- site, O2- is bonded to two Li1+ and four Fe+2.45+ atoms to form OLi2Fe4 octahedra that share corners with six OLi2Fe4 octahedra and edges with twelve OLiFe5 octahedra. The corner-sharing octahedra tilt angles range from 2–4°. In the sixteenth O2- site, O2- is bonded to three Li1+ and three Fe+2.45+ atoms to form OLi3Fe3 octahedra that share corners with six OLi3Fe3 octahedra and edges with twelve OLi2Fe4 octahedra. The corner-sharing octahedra tilt angles range from 1–5°.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on RbLiMg30O31 by Materials Project

RbLiMg30O31 crystallizes in the orthorhombic Pmm2 space group. The structure is three-dimensional. Rb1+ is bonded to six O2- atoms to form RbO6 octahedra that share corners with four MgO6 octahedra, corners with two equivalent MgO5 trigonal bipyramids, edges with ten MgO6 octahedra, and edges with two equivalent MgO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 0–4°. There are a spread of Rb–O bond distances ranging from 2.38–2.46 Å. Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with four MgO6 octahedra, corners with two equivalent MgO5 trigonal bipyramids, edges with ten MgO6 octahedra, and edges with two equivalent MgO5 square pyramids. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Li–O bond distances ranging from 2.14–2.30 Å. There are sixteen inequivalent Mg2+ sites. In the first Mg2+ site, Mg2+ is bonded to five O2- atoms to form MgO5 trigonal bipyramids that share corners with two equivalent RbO6 octahedra, corners with two equivalent LiO6 octahedra, corners with three MgO5 square pyramids, corners with two equivalent MgO5 trigonal bipyramids, and edges with eight MgO6 octahedra. The corner-sharing octahedra tilt angles range from 7–18°. There are a spread of Mg–O bond distances ranging from 1.90–2.15 Å. In the second Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with two equivalent RbO6 octahedra, corners with two equivalent LiO6 octahedra, corners with two equivalent MgO6 octahedra, and edges with twelve MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. There are a spread of Mg–O bond distances ranging from 1.93–2.24 Å. In the third Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with two equivalent MgO6 octahedra, corners with two equivalent MgO5 square pyramids, edges with ten MgO6 octahedra, and edges with two equivalent MgO5 square pyramids. The corner-sharing octahedral tilt angles are 0°. There are a spread of Mg–O bond distances ranging from 2.06–2.23 Å. In the fourth Mg2+ site, Mg2+ is bonded to five O2- atoms to form MgO5 square pyramids that share corners with four MgO6 octahedra, corners with two equivalent MgO5 square pyramids, corners with three MgO5 trigonal bipyramids, and edges with eight MgO6 octahedra. The corner-sharing octahedral tilt angles are 8°. There are a spread of Mg–O bond distances ranging from 1.97–2.12 Å. In the fifth Mg2+ site, Mg2+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are a spread of Mg–O bond distances ranging from 2.10–2.16 Å. In the sixth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with two equivalent RbO6 octahedra, corners with two equivalent MgO6 octahedra, corners with two equivalent MgO5 square pyramids, edges with ten MgO6 octahedra, and edges with two equivalent MgO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 0°. There are a spread of Mg–O bond distances ranging from 1.89–2.25 Å. In the seventh Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, an edgeedge with one RbO6 octahedra, an edgeedge with one LiO6 octahedra, edges with seven MgO6 octahedra, an edgeedge with one MgO5 square pyramid, and edges with two MgO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 2–15°. There are a spread of Mg–O bond distances ranging from 2.10–2.25 Å. In the eighth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, edges with nine MgO6 octahedra, edges with two MgO5 square pyramids, and an edgeedge with one MgO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 1–6°. There are a spread of Mg–O bond distances ranging from 2.13–2.19 Å. In the ninth Mg2+ site, Mg2+ is bonded to five O2- atoms to form MgO5 square pyramids that share corners with four MgO6 octahedra, corners with two MgO5 square pyramids, corners with three MgO5 trigonal bipyramids, an edgeedge with one LiO6 octahedra, and edges with seven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 9–10°. There are a spread of Mg–O bond distances ranging from 1.96–2.18 Å. In the tenth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with four MgO6 octahedra, corners with two equivalent MgO5 square pyramids, an edgeedge with one RbO6 octahedra, edges with nine MgO6 octahedra, and edges with two equivalent MgO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 1–11°. There are a spread of Mg–O bond distances ranging from 2.10–2.25 Å. In the eleventh Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with four MgO6 octahedra, corners with two equivalent MgO5 square pyramids, an edgeedge with one LiO6 octahedra, edges with nine MgO6 octahedra, an edgeedge with one MgO5 square pyramid, and an edgeedge with one MgO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 4–7°. There are a spread of Mg–O bond distances ranging from 2.11–2.27 Å. In the twelfth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, an edgeedge with one RbO6 octahedra, and edges with eleven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 1–14°. There are a spread of Mg–O bond distances ranging from 2.12–2.23 Å. In the thirteenth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with four MgO6 octahedra, corners with two equivalent MgO5 trigonal bipyramids, an edgeedge with one LiO6 octahedra, edges with nine MgO6 octahedra, and edges with two equivalent MgO5 square pyramids. The corner-sharing octahedra tilt angles range from 0–6°. There are a spread of Mg–O bond distances ranging from 2.13–2.19 Å. In the fourteenth Mg2+ site, Mg2+ is bonded to five O2- atoms to form MgO5 trigonal bipyramids that share corners with four MgO6 octahedra, corners with three MgO5 square pyramids, corners with two MgO5 trigonal bipyramids, an edgeedge with one RbO6 octahedra, and edges with seven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 7–20°. There are a spread of Mg–O bond distances ranging from 1.99–2.16 Å. In the fifteenth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, an edgeedge with one LiO6 octahedra, and edges with eleven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. There are a spread of Mg–O bond distances ranging from 2.13–2.21 Å. In the sixteenth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with four MgO6 octahedra, corners with two equivalent MgO5 trigonal bipyramids, an edgeedge with one RbO6 octahedra, edges with nine MgO6 octahedra, an edgeedge with one MgO5 square pyramid, and an edgeedge with one MgO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 1–12°. There are a spread of Mg–O bond distances ranging from 2.13–2.45 Å. There are seventeen inequivalent O2- sites. In the first O2- site, O2- is bonded to one Li1+ and five Mg2+ atoms to form a mixture of edge and corner-sharing OLiMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–5°. In the second O2- site, O2- is bonded to six Mg2+ atoms to form OMg6 octahedra that share corners with six OLiMg5 octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the third O2- site, O2- is bonded to one Rb1+ and five Mg2+ atoms to form a mixture of distorted edge and corner-sharing ORbMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the fourth O2- site, O2- is bonded to one Li1+ and five Mg2+ atoms to form OLiMg5 octahedra that share corners with six OLiMg5 octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. In the fifth O2- site, O2- is bonded to six Mg2+ atoms to form OMg6 octahedra that share corners with four OLiMg5 octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedral tilt angles are 5°. In the sixth O2- site, O2- is bonded to six Mg2+ atoms to form a mixture of edge and corner-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–8°. In the seventh O2- site, O2- is bonded to one Rb1+ and five Mg2+ atoms to form ORbMg5 octahedra that share corners with six ORbMg5 octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–8°. In the eighth O2- site, O2- is bonded to six Mg2+ atoms to form OMg6 octahedra that share corners with six OMg6 octahedra and edges with eleven OLiMg5 octahedra. The corner-sharing octahedra tilt angles range from 2–13°. In the ninth O2- site, O2- is bonded to six Mg2+ atoms to form OMg6 octahedra that share corners with six OMg6 octahedra and edges with twelve OLiMg5 octahedra. The corner-sharing octahedra tilt angles range from 2–6°. In the tenth O2- site, O2- is bonded to one Li1+ and five Mg2+ atoms to form OLiMg5 octahedra that share corners with six ORbMg5 octahedra and edges with eleven OLiMg5 octahedra. The corner-sharing octahedra tilt angles range from 2–14°. In the eleventh O2- site, O2- is bonded to one Rb1+ and five Mg2+ atoms to form ORbMg5 octahedra that share corners with six ORbMg5 octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 2–5°. In the twelfth O2- site, O2- is bonded to six Mg2+ atoms to form OMg6 octahedra that share corners with six OMg6 octahedra and edges with eleven OLiMg5 octahedra. The corner-sharing octahedra tilt angles range from 2–14°. In the thirteenth O2- site, O2- is bonded to six Mg2+ atoms to form OMg6 octahedra that share corners with six ORbMg5 octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–5°. In the fourteenth O2- site, O2- is bonded to one Li1+ and five Mg2+ atoms to form OLiMg5 octahedra that share corners with six ORbMg5 octahedra and edges with twelve OLiMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. In the fifteenth O2- site, O2- is bonded to one Rb1+ and five Mg2+ atoms to form a mixture of distorted edge and corner-sharing ORbMg5 octahedra. The corner-sharing octahedra tilt angles range from 6–24°. In the sixteenth O2- site, O2- is bonded to six Mg2+ atoms to form OMg6 octahedra that share corners with six OMg6 octahedra and edges with twelve OLiMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the seventeenth O2- site, O2- is bonded to six Mg2+ atoms to form a mixture of edge and corner-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 2–21°.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on RbNaMg30O31 by Materials Project

RbNaMg30O31 crystallizes in the orthorhombic Pmm2 space group. The structure is three-dimensional. Rb1+ is bonded to six O2- atoms to form RbO6 octahedra that share corners with four MgO6 octahedra, corners with two equivalent MgO5 trigonal bipyramids, edges with ten MgO6 octahedra, and edges with two equivalent MgO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 0–4°. There are a spread of Rb–O bond distances ranging from 2.38–2.46 Å. Na1+ is bonded to six O2- atoms to form NaO6 octahedra that share corners with four MgO6 octahedra, corners with two equivalent MgO5 trigonal bipyramids, edges with ten MgO6 octahedra, and edges with two equivalent MgO5 square pyramids. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Na–O bond distances ranging from 2.22–2.32 Å. There are sixteen inequivalent Mg2+ sites. In the first Mg2+ site, Mg2+ is bonded to five O2- atoms to form MgO5 trigonal bipyramids that share corners with two equivalent RbO6 octahedra, corners with two equivalent NaO6 octahedra, corners with three MgO5 square pyramids, corners with two equivalent MgO5 trigonal bipyramids, and edges with eight MgO6 octahedra. The corner-sharing octahedra tilt angles range from 8–18°. There are a spread of Mg–O bond distances ranging from 1.92–2.10 Å. In the second Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with two equivalent RbO6 octahedra, corners with two equivalent NaO6 octahedra, corners with two equivalent MgO6 octahedra, and edges with twelve MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. There are a spread of Mg–O bond distances ranging from 1.94–2.26 Å. In the third Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with two equivalent NaO6 octahedra, corners with two equivalent MgO6 octahedra, corners with two equivalent MgO5 square pyramids, edges with ten MgO6 octahedra, and edges with two equivalent MgO5 square pyramids. The corner-sharing octahedral tilt angles are 0°. There are a spread of Mg–O bond distances ranging from 2.02–2.25 Å. In the fourth Mg2+ site, Mg2+ is bonded to five O2- atoms to form MgO5 square pyramids that share corners with four MgO6 octahedra, corners with two equivalent MgO5 square pyramids, corners with three MgO5 trigonal bipyramids, and edges with eight MgO6 octahedra. The corner-sharing octahedral tilt angles are 8°. There are a spread of Mg–O bond distances ranging from 1.97–2.12 Å. In the fifth Mg2+ site, Mg2+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of Mg–O bond distances ranging from 2.09–2.16 Å. In the sixth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with two equivalent RbO6 octahedra, corners with two equivalent MgO6 octahedra, corners with two equivalent MgO5 square pyramids, edges with ten MgO6 octahedra, and edges with two equivalent MgO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of Mg–O bond distances ranging from 1.89–2.26 Å. In the seventh Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, an edgeedge with one RbO6 octahedra, an edgeedge with one NaO6 octahedra, edges with seven MgO6 octahedra, an edgeedge with one MgO5 square pyramid, and edges with two MgO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 3–15°. There are a spread of Mg–O bond distances ranging from 2.13–2.24 Å. In the eighth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, edges with nine MgO6 octahedra, edges with two MgO5 square pyramids, and an edgeedge with one MgO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 1–6°. There are a spread of Mg–O bond distances ranging from 2.13–2.19 Å. In the ninth Mg2+ site, Mg2+ is bonded to five O2- atoms to form MgO5 square pyramids that share corners with four MgO6 octahedra, corners with two MgO5 square pyramids, corners with three MgO5 trigonal bipyramids, an edgeedge with one NaO6 octahedra, and edges with seven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 9–12°. There are a spread of Mg–O bond distances ranging from 1.98–2.16 Å. In the tenth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with four MgO6 octahedra, corners with two equivalent MgO5 square pyramids, an edgeedge with one RbO6 octahedra, edges with nine MgO6 octahedra, and edges with two equivalent MgO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 2–11°. There are a spread of Mg–O bond distances ranging from 2.10–2.26 Å. In the eleventh Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with four MgO6 octahedra, corners with two equivalent MgO5 square pyramids, an edgeedge with one NaO6 octahedra, edges with nine MgO6 octahedra, an edgeedge with one MgO5 square pyramid, and an edgeedge with one MgO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 3–9°. There are a spread of Mg–O bond distances ranging from 2.14–2.26 Å. In the twelfth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, an edgeedge with one RbO6 octahedra, and edges with eleven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 2–14°. There are a spread of Mg–O bond distances ranging from 2.13–2.24 Å. In the thirteenth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with four MgO6 octahedra, corners with two equivalent MgO5 trigonal bipyramids, an edgeedge with one NaO6 octahedra, edges with nine MgO6 octahedra, and edges with two equivalent MgO5 square pyramids. The corner-sharing octahedra tilt angles range from 1–7°. There are a spread of Mg–O bond distances ranging from 2.13–2.20 Å. In the fourteenth Mg2+ site, Mg2+ is bonded to five O2- atoms to form MgO5 trigonal bipyramids that share corners with four MgO6 octahedra, corners with three MgO5 square pyramids, corners with two MgO5 trigonal bipyramids, an edgeedge with one RbO6 octahedra, and edges with seven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 7–20°. There are a spread of Mg–O bond distances ranging from 1.99–2.17 Å. In the fifteenth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, an edgeedge with one NaO6 octahedra, and edges with eleven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 1–8°. There are a spread of Mg–O bond distances ranging from 2.15–2.21 Å. In the sixteenth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with four MgO6 octahedra, corners with two equivalent MgO5 trigonal bipyramids, an edgeedge with one RbO6 octahedra, edges with nine MgO6 octahedra, an edgeedge with one MgO5 square pyramid, and an edgeedge with one MgO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 2–12°. There are a spread of Mg–O bond distances ranging from 2.14–2.44 Å. There are seventeen inequivalent O2- sites. In the first O2- site, O2- is bonded to one Na1+ and five Mg2+ atoms to form a mixture of edge and corner-sharing ONaMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. In the second O2- site, O2- is bonded to six Mg2+ atoms to form OMg6 octahedra that share corners with six ONaMg5 octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the third O2- site, O2- is bonded to one Rb1+ and five Mg2+ atoms to form a mixture of distorted edge and corner-sharing ORbMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the fourth O2- site, O2- is bonded to one Na1+ and five Mg2+ atoms to form ONaMg5 octahedra that share corners with six ONaMg5 octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. In the fifth O2- site, O2- is bonded to six Mg2+ atoms to form OMg6 octahedra that share corners with four ONaMg5 octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 5–6°. In the sixth O2- site, O2- is bonded to six Mg2+ atoms to form a mixture of edge and corner-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–8°. In the seventh O2- site, O2- is bonded to one Rb1+ and five Mg2+ atoms to form ORbMg5 octahedra that share corners with six ORbMg5 octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–8°. In the eighth O2- site, O2- is bonded to six Mg2+ atoms to form OMg6 octahedra that share corners with six OMg6 octahedra and edges with eleven ONaMg5 octahedra. The corner-sharing octahedra tilt angles range from 2–13°. In the ninth O2- site, O2- is bonded to six Mg2+ atoms to form OMg6 octahedra that share corners with six OMg6 octahedra and edges with twelve ONaMg5 octahedra. The corner-sharing octahedra tilt angles range from 1–5°. In the tenth O2- site, O2- is bonded to one Na1+ and five Mg2+ atoms to form ONaMg5 octahedra that share corners with six ORbMg5 octahedra and edges with eleven ONaMg5 octahedra. The corner-sharing octahedra tilt angles range from 1–15°. In the eleventh O2- site, O2- is bonded to one Rb1+ and five Mg2+ atoms to form ORbMg5 octahedra that share corners with six ORbMg5 octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 1–5°. In the twelfth O2- site, O2- is bonded to six Mg2+ atoms to form OMg6 octahedra that share corners with six OMg6 octahedra and edges with eleven ONaMg5 octahedra. The corner-sharing octahedra tilt angles range from 2–15°. In the thirteenth O2- site, O2- is bonded to six Mg2+ atoms to form OMg6 octahedra that share corners with six ORbMg5 octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the fourteenth O2- site, O2- is bonded to one Na1+ and five Mg2+ atoms to form ONaMg5 octahedra that share corners with six ORbMg5 octahedra and edges with twelve ONaMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–5°. In the fifteenth O2- site, O2- is bonded to one Rb1+ and five Mg2+ atoms to form a mixture of distorted edge and corner-sharing ORbMg5 octahedra. The corner-sharing octahedra tilt angles range from 5–23°. In the sixteenth O2- site, O2- is bonded to six Mg2+ atoms to form OMg6 octahedra that share corners with six OMg6 octahedra and edges with twelve ONaMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the seventeenth O2- site, O2- is bonded to six Mg2+ atoms to form a mixture of edge and corner-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 3–21°.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Li12Mo5O17 by Materials Project

Li12Mo5O17 is Caswellsilverite-like structured and crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are twelve inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two MoO6 octahedra, corners with four LiO6 octahedra, edges with four MoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–10°. There are a spread of Li–O bond distances ranging from 2.08–2.39 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two MoO6 octahedra, corners with four LiO6 octahedra, edges with four MoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–10°. There are a spread of Li–O bond distances ranging from 2.06–2.37 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two MoO6 octahedra, corners with four LiO6 octahedra, edges with four MoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–13°. There are a spread of Li–O bond distances ranging from 2.09–2.32 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three LiO6 octahedra, corners with three MoO6 octahedra, edges with three MoO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–10°. There are a spread of Li–O bond distances ranging from 2.10–2.34 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two MoO6 octahedra, corners with four LiO6 octahedra, edges with three MoO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–14°. There are a spread of Li–O bond distances ranging from 2.07–2.25 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with two MoO6 octahedra, corners with four LiO6 octahedra, edges with five MoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 1–17°. There are a spread of Li–O bond distances ranging from 1.97–2.44 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two MoO6 octahedra, corners with four LiO6 octahedra, edges with five MoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 0–18°. There are a spread of Li–O bond distances ranging from 2.02–2.34 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two MoO6 octahedra, corners with four LiO6 octahedra, edges with five MoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–18°. There are a spread of Li–O bond distances ranging from 2.09–2.42 Å. In the ninth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three LiO6 octahedra, corners with three MoO6 octahedra, edges with three MoO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–17°. There are a spread of Li–O bond distances ranging from 2.01–2.32 Å. In the tenth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one MoO6 octahedra, corners with five LiO6 octahedra, edges with four MoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–15°. There are a spread of Li–O bond distances ranging from 2.03–2.31 Å. In the eleventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one MoO6 octahedra, corners with five LiO6 octahedra, edges with four MoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–13°. There are a spread of Li–O bond distances ranging from 2.08–2.40 Å. In the twelfth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two MoO6 octahedra, corners with four LiO6 octahedra, edges with three MoO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–10°. There are a spread of Li–O bond distances ranging from 2.09–2.24 Å. There are five inequivalent Mo+4.40+ sites. In the first Mo+4.40+ site, Mo+4.40+ is bonded to six O2- atoms to form MoO6 octahedra that share a cornercorner with one MoO6 octahedra, corners with five LiO6 octahedra, edges with three MoO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–9°. There are a spread of Mo–O bond distances ranging from 1.97–2.17 Å. In the second Mo+4.40+ site, Mo+4.40+ is bonded to six O2- atoms to form MoO6 octahedra that share a cornercorner with one MoO6 octahedra, corners with five LiO6 octahedra, edges with two MoO6 octahedra, and edges with ten LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–10°. There are a spread of Mo–O bond distances ranging from 1.84–2.15 Å. In the third Mo+4.40+ site, Mo+4.40+ is bonded to six O2- atoms to form MoO6 octahedra that share a cornercorner with one MoO6 octahedra, corners with five LiO6 octahedra, edges with three MoO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–11°. There are a spread of Mo–O bond distances ranging from 1.94–2.16 Å. In the fourth Mo+4.40+ site, Mo+4.40+ is bonded to six O2- atoms to form MoO6 octahedra that share a cornercorner with one MoO6 octahedra, corners with five LiO6 octahedra, edges with two MoO6 octahedra, and edges with ten LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–12°. There are a spread of Mo–O bond distances ranging from 1.85–2.19 Å. In the fifth Mo+4.40+ site, Mo+4.40+ is bonded to six O2- atoms to form MoO6 octahedra that share corners with two MoO6 octahedra, corners with four LiO6 octahedra, edges with three MoO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 0–9°. There are a spread of Mo–O bond distances ranging from 1.94–2.18 Å. There are seventeen inequivalent O2- sites. In the first O2- site, O2- is bonded to five Li1+ and one Mo+4.40+ atom to form a mixture of edge and corner-sharing OLi5Mo octahedra. The corner-sharing octahedra tilt angles range from 2–12°. In the second O2- site, O2- is bonded to four Li1+ and two Mo+4.40+ atoms to form a mixture of edge and corner-sharing OLi4Mo2 octahedra. The corner-sharing octahedra tilt angles range from 3–12°. In the third O2- site, O2- is bonded to three Li1+ and three Mo+4.40+ atoms to form OLi3Mo3 octahedra that share corners with six OLi4Mo2 octahedra and edges with twelve OLi5Mo octahedra. The corner-sharing octahedra tilt angles range from 4–10°. In the fourth O2- site, O2- is bonded to four Li1+ and two Mo+4.40+ atoms to form a mixture of edge and corner-sharing OLi4Mo2 octahedra. The corner-sharing octahedra tilt angles range from 1–20°. In the fifth O2- site, O2- is bonded to three Li1+ and three Mo+4.40+ atoms to form a mixture of edge and corner-sharing OLi3Mo3 octahedra. The corner-sharing octahedra tilt angles range from 1–12°. In the sixth O2- site, O2- is bonded to four Li1+ and two Mo+4.40+ atoms to form OLi4Mo2 octahedra that share corners with six OLi3Mo3 octahedra and edges with twelve OLi5Mo octahedra. The corner-sharing octahedra tilt angles range from 0–20°. In the seventh O2- site, O2- is bonded to five Li1+ and one Mo+4.40+ atom to form OLi5Mo octahedra that share corners with six OLi4Mo2 octahedra and edges with twelve OLi5Mo octahedra. The corner-sharing octahedra tilt angles range from 4–10°. In the eighth O2- site, O2- is bonded to four Li1+ and two Mo+4.40+ atoms to form a mixture of edge and corner-sharing OLi4Mo2 octahedra. The corner-sharing octahedra tilt angles range from 7–19°. In the ninth O2- site, O2- is bonded to five Li1+ and one Mo+4.40+ atom to form a mixture of edge and corner-sharing OLi5Mo octahedra. The corner-sharing octahedra tilt angles range from 3–14°. In the tenth O2- site, O2- is bonded to four Li1+ and two Mo+4.40+ atoms to form OLi4Mo2 octahedra that share corners with six OLi4Mo2 octahedra and edges with twelve OLi5Mo octahedra. The corner-sharing octahedra tilt angles range from 3–17°. In the eleventh O2- site, O2- is bonded to five Li1+ and one Mo+4.40+ atom to form a mixture of edge and corner-sharing OLi5Mo octahedra. The corner-sharing octahedra tilt angles range from 0–11°. In the twelfth O2- site, O2- is bonded to three Li1+ and three Mo+4.40+ atoms to form a mixture of edge and corner-sharing OLi3Mo3 octahedra. The corner-sharing octahedra tilt angles range from 0–8°. In the thirteenth O2- site, O2- is bonded to four Li1+ and two Mo+4.40+ atoms to form OLi4Mo2 octahedra that share corners with six OLi3Mo3 octahedra and edges with twelve OLi5Mo octahedra. The corner-sharing octahedra tilt angles range from 3–14°. In the fourteenth O2- site, O2- is bonded to five Li1+ and one Mo+4.40+ atom to form OLi5Mo octahedra that share corners with six OLi5Mo octahedra and edges with twelve OLi4Mo2 octahedra. The corner-sharing octahedra tilt angles range from 3–13°. In the fifteenth O2- site, O2- is bonded to five Li1+ and one Mo+4.40+ atom to form a mixture of edge and corner-sharing OLi5Mo octahedra. The corner-sharing octahedra tilt angles range from 4–9°. In the sixteenth O2- site, O2- is bonded to five Li1+ and one Mo+4.40+ atom to form OLi5Mo octahedra that share corners with six OLi4Mo2 octahedra and edges with twelve OLi5Mo octahedra. The corner-sharing octahedra tilt angles range from 0–13°. In the seventeenth O2- site, O2- is bonded to four Li1+ and two equivalent Mo+4.40+ atoms to form a mixture of edge and corner-sharing OLi4Mo2 octahedra. The corner-sharing octahedra tilt angles range from 3–19°.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on RbHfMg30O31 by Materials Project

RbMg30HfO31 crystallizes in the orthorhombic Pmm2 space group. The structure is three-dimensional. Rb is bonded to six O atoms to form RbO6 octahedra that share corners with four MgO6 octahedra, corners with two equivalent HfO5 square pyramids, edges with ten MgO6 octahedra, and edges with two equivalent MgO5 square pyramids. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of Rb–O bond distances ranging from 2.39–2.43 Å. There are sixteen inequivalent Mg sites. In the first Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with two equivalent RbO6 octahedra, corners with four MgO6 octahedra, and edges with twelve MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of Mg–O bond distances ranging from 1.91–2.23 Å. In the second Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with four MgO6 octahedra, corners with two equivalent HfO5 square pyramids, edges with ten MgO6 octahedra, and edges with two equivalent MgO5 square pyramids. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of Mg–O bond distances ranging from 2.11–2.20 Å. In the third Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with two equivalent RbO6 octahedra, corners with two equivalent MgO6 octahedra, corners with two equivalent MgO5 square pyramids, edges with ten MgO6 octahedra, and edges with two equivalent MgO5 square pyramids. The corner-sharing octahedral tilt angles are 0°. There are a spread of Mg–O bond distances ranging from 1.90–2.23 Å. In the fourth Mg site, Mg is bonded to five O atoms to form MgO5 square pyramids that share corners with four MgO6 octahedra, a cornercorner with one HfO5 square pyramid, corners with four MgO5 square pyramids, and edges with eight MgO6 octahedra. The corner-sharing octahedral tilt angles are 1°. There are a spread of Mg–O bond distances ranging from 2.11–2.19 Å. In the fifth Mg site, Mg is bonded to six O atoms to form a mixture of edge and corner-sharing MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of Mg–O bond distances ranging from 2.10–2.19 Å. In the sixth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with four MgO6 octahedra, corners with two equivalent MgO5 square pyramids, edges with ten MgO6 octahedra, and edges with two equivalent MgO5 square pyramids. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of Mg–O bond distances ranging from 2.13–2.17 Å. In the seventh Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, an edgeedge with one RbO6 octahedra, edges with eight MgO6 octahedra, an edgeedge with one HfO5 square pyramid, and edges with two MgO5 square pyramids. The corner-sharing octahedra tilt angles range from 2–13°. There are a spread of Mg–O bond distances ranging from 2.08–2.28 Å. In the eighth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, edges with nine MgO6 octahedra, and edges with three MgO5 square pyramids. The corner-sharing octahedra tilt angles range from 0–4°. There are a spread of Mg–O bond distances ranging from 2.15–2.19 Å. In the ninth Mg site, Mg is bonded to five O atoms to form MgO5 square pyramids that share corners with four MgO6 octahedra, a cornercorner with one HfO5 square pyramid, corners with four MgO5 square pyramids, an edgeedge with one RbO6 octahedra, and edges with seven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 4–13°. There are a spread of Mg–O bond distances ranging from 2.06–2.36 Å. In the tenth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with four MgO6 octahedra, corners with two equivalent MgO5 square pyramids, edges with ten MgO6 octahedra, and edges with two equivalent MgO5 square pyramids. The corner-sharing octahedra tilt angles range from 1–4°. There are four shorter (2.15 Å) and two longer (2.19 Å) Mg–O bond lengths. In the eleventh Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with four MgO6 octahedra, corners with two equivalent MgO5 square pyramids, an edgeedge with one RbO6 octahedra, edges with nine MgO6 octahedra, an edgeedge with one MgO5 square pyramid, and an edgeedge with one HfO5 square pyramid. The corner-sharing octahedra tilt angles range from 2–9°. There are one shorter (2.10 Å) and five longer (2.17 Å) Mg–O bond lengths. In the twelfth Mg site, Mg is bonded to six O atoms to form a mixture of edge and corner-sharing MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. There are a spread of Mg–O bond distances ranging from 2.14–2.18 Å. In the thirteenth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with four MgO6 octahedra, corners with two equivalent MgO5 square pyramids, an edgeedge with one RbO6 octahedra, edges with nine MgO6 octahedra, and edges with two equivalent MgO5 square pyramids. The corner-sharing octahedra tilt angles range from 0–12°. There are a spread of Mg–O bond distances ranging from 2.11–2.24 Å. In the fourteenth Mg site, Mg is bonded to five O atoms to form MgO5 square pyramids that share corners with four MgO6 octahedra, a cornercorner with one HfO5 square pyramid, corners with four MgO5 square pyramids, and edges with eight MgO6 octahedra. The corner-sharing octahedra tilt angles range from 1–3°. There are a spread of Mg–O bond distances ranging from 2.10–2.25 Å. In the fifteenth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, an edgeedge with one RbO6 octahedra, and edges with eleven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–11°. There are a spread of Mg–O bond distances ranging from 2.12–2.21 Å. In the sixteenth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with four MgO6 octahedra, corners with two equivalent MgO5 square pyramids, edges with ten MgO6 octahedra, an edgeedge with one MgO5 square pyramid, and an edgeedge with one HfO5 square pyramid. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Mg–O bond distances ranging from 2.14–2.18 Å. Hf is bonded to five O atoms to form distorted HfO5 square pyramids that share corners with two equivalent RbO6 octahedra, corners with two equivalent MgO6 octahedra, corners with five MgO5 square pyramids, and edges with eight MgO6 octahedra. The corner-sharing octahedra tilt angles range from 7–10°. There are a spread of Hf–O bond distances ranging from 1.97–2.37 Å. There are seventeen inequivalent O sites. In the first O site, O is bonded to one Rb and five Mg atoms to form a mixture of edge and corner-sharing ORbMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. In the second O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six ORbMg5 octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. In the third O site, O is bonded to six Mg atoms to form a mixture of edge and corner-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. In the fourth O site, O is bonded to one Rb and five Mg atoms to form ORbMg5 octahedra that share corners with six ORbMg5 octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. In the fifth O site, O is bonded to five Mg and one Hf atom to form OHfMg5 octahedra that share corners with four ORbMg5 octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the sixth O site, O is bonded to six Mg atoms to form a mixture of edge and corner-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. In the seventh O site, O is bonded to six Mg atoms to form a mixture of edge and corner-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. In the eighth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OMg6 octahedra and edges with eleven ORbMg5 octahedra. The corner-sharing octahedra tilt angles range from 1–6°. In the ninth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OMg6 octahedra and edges with twelve ORbMg5 octahedra. The corner-sharing octahedra tilt angles range from 1–4°. In the tenth O site, O is bonded to one Rb, four Mg, and one Hf atom to form ORbHfMg4 octahedra that share corners with six OMg6 octahedra and edges with eleven ORbMg5 octahedra. The corner-sharing octahedra tilt angles range from 4–15°. In the eleventh O site, O is bonded to six Mg atoms to form a mixture of edge and corner-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–9°. In the twelfth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OMg6 octahedra and edges with eleven ORbMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–10°. In the thirteenth O site, O is bonded to six Mg atoms to form a mixture of edge and corner-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the fourteenth O site, O is bonded to one Rb and five Mg atoms to form ORbMg5 octahedra that share corners with six OHfMg5 octahedra and edges with twelve ORbMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. In the fifteenth O site, O is bonded to five Mg and one Hf atom to form OHfMg5 octahedra that share corners with six OHfMg5 octahedra and edges with eleven OMg6 octahedra. The corner-sharing octahedra tilt angles range from 1–12°. In the sixteenth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OMg6 octahedra and edges with twelve ORbMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. In the seventeenth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OHfMg5 octahedra and edges with eleven OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–2°.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on HfMg30BO31 by Materials Project

Mg30HfBO31 crystallizes in the orthorhombic Pmm2 space group. The structure is three-dimensional. there are sixteen inequivalent Mg sites. In the first Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with two equivalent BO6 octahedra, corners with four MgO6 octahedra, and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are a spread of Mg–O bond distances ranging from 2.02–2.17 Å. In the second Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with four MgO6 octahedra, corners with two equivalent HfO5 square pyramids, edges with ten MgO6 octahedra, and edges with two equivalent MgO5 square pyramids. The corner-sharing octahedral tilt angles are 0°. There are a spread of Mg–O bond distances ranging from 2.10–2.16 Å. In the third Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with two equivalent MgO6 octahedra, corners with two equivalent BO6 octahedra, corners with two equivalent MgO5 square pyramids, edges with ten MgO6 octahedra, and edges with two equivalent MgO5 square pyramids. The corner-sharing octahedral tilt angles are 0°. There are a spread of Mg–O bond distances ranging from 2.02–2.17 Å. In the fourth Mg site, Mg is bonded to five O atoms to form MgO5 square pyramids that share corners with four MgO6 octahedra, a cornercorner with one HfO5 square pyramid, corners with four MgO5 square pyramids, and edges with eight MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are a spread of Mg–O bond distances ranging from 2.13–2.16 Å. In the fifth Mg site, Mg is bonded to six O atoms to form a mixture of corner and edge-sharing MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are a spread of Mg–O bond distances ranging from 2.12–2.16 Å. In the sixth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with four MgO6 octahedra, corners with two equivalent MgO5 square pyramids, edges with ten MgO6 octahedra, and edges with two equivalent MgO5 square pyramids. The corner-sharing octahedral tilt angles are 0°. There are a spread of Mg–O bond distances ranging from 2.12–2.15 Å. In the seventh Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, an edgeedge with one BO6 octahedra, edges with eight MgO6 octahedra, an edgeedge with one HfO5 square pyramid, and edges with two MgO5 square pyramids. The corner-sharing octahedra tilt angles range from 1–10°. There are a spread of Mg–O bond distances ranging from 2.09–2.22 Å. In the eighth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, edges with nine MgO6 octahedra, and edges with three MgO5 square pyramids. The corner-sharing octahedra tilt angles range from 0–3°. There are a spread of Mg–O bond distances ranging from 2.14–2.16 Å. In the ninth Mg site, Mg is bonded to five O atoms to form MgO5 square pyramids that share corners with four MgO6 octahedra, a cornercorner with one HfO5 square pyramid, corners with four MgO5 square pyramids, an edgeedge with one BO6 octahedra, and edges with seven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 2–10°. There are a spread of Mg–O bond distances ranging from 2.07–2.19 Å. In the tenth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with four MgO6 octahedra, corners with two equivalent MgO5 square pyramids, edges with ten MgO6 octahedra, and edges with two equivalent MgO5 square pyramids. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Mg–O bond distances ranging from 2.13–2.17 Å. In the eleventh Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with four MgO6 octahedra, corners with two equivalent MgO5 square pyramids, an edgeedge with one BO6 octahedra, edges with nine MgO6 octahedra, an edgeedge with one MgO5 square pyramid, and an edgeedge with one HfO5 square pyramid. The corner-sharing octahedra tilt angles range from 1–5°. There are a spread of Mg–O bond distances ranging from 2.10–2.20 Å. In the twelfth Mg site, Mg is bonded to six O atoms to form a mixture of corner and edge-sharing MgO6 octahedra. The corner-sharing octahedra tilt angles range from 1–2°. There are a spread of Mg–O bond distances ranging from 2.13–2.16 Å. In the thirteenth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with four MgO6 octahedra, corners with two equivalent MgO5 square pyramids, an edgeedge with one BO6 octahedra, edges with nine MgO6 octahedra, and edges with two equivalent MgO5 square pyramids. The corner-sharing octahedra tilt angles range from 1–8°. There are a spread of Mg–O bond distances ranging from 2.13–2.16 Å. In the fourteenth Mg site, Mg is bonded to five O atoms to form MgO5 square pyramids that share corners with four MgO6 octahedra, a cornercorner with one HfO5 square pyramid, corners with four MgO5 square pyramids, and edges with eight MgO6 octahedra. The corner-sharing octahedral tilt angles are 1°. There are a spread of Mg–O bond distances ranging from 2.11–2.22 Å. In the fifteenth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, an edgeedge with one BO6 octahedra, and edges with eleven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 1–7°. There are a spread of Mg–O bond distances ranging from 2.13–2.16 Å. In the sixteenth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with four MgO6 octahedra, corners with two equivalent MgO5 square pyramids, edges with ten MgO6 octahedra, an edgeedge with one MgO5 square pyramid, and an edgeedge with one HfO5 square pyramid. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of Mg–O bond distances ranging from 2.11–2.17 Å. Hf is bonded to five O atoms to form HfO5 square pyramids that share corners with two equivalent MgO6 octahedra, corners with two equivalent BO6 octahedra, corners with five MgO5 square pyramids, and edges with eight MgO6 octahedra. The corner-sharing octahedra tilt angles range from 3–6°. There are a spread of Hf–O bond distances ranging from 2.03–2.27 Å. B is bonded to six O atoms to form distorted BO6 octahedra that share corners with four MgO6 octahedra, corners with two equivalent HfO5 square pyramids, edges with ten MgO6 octahedra, and edges with two equivalent MgO5 square pyramids. The corner-sharing octahedral tilt angles are 0°. There are a spread of B–O bond distances ranging from 2.26–2.28 Å. There are seventeen inequivalent O sites. In the first O site, O is bonded to five Mg and one B atom to form distorted OMg5B square pyramids that share corners with two equivalent OMg6 octahedra, corners with two equivalent OMg5B square pyramids, edges with eight OMg6 octahedra, and edges with four OHfMg4B square pyramids. The corner-sharing octahedral tilt angles are 5°. In the second O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with four OMg6 octahedra, corners with two equivalent OMg5B square pyramids, edges with ten OMg6 octahedra, and edges with two equivalent OMg5B square pyramids. The corner-sharing octahedral tilt angles are 0°. In the third O site, O is bonded to six Mg atoms to form a mixture of corner and edge-sharing OMg6 octahedra. The corner-sharing octahedral tilt angles are 0°. In the fourth O site, O is bonded to five Mg and one B atom to form distorted OMg5B square pyramids that share corners with four OHfMg5 octahedra, corners with two equivalent OMg5B square pyramids, edges with eight OMg6 octahedra, and edges with four OHfMg4B square pyramids. The corner-sharing octahedra tilt angles range from 2–4°. In the fifth O site, O is bonded to five Mg and one Hf atom to form OHfMg5 octahedra that share corners with two equivalent OMg6 octahedra, corners with two equivalent OMg5B square pyramids, edges with ten OMg6 octahedra, and edges with two equivalent OHfMg4B square pyramids. The corner-sharing octahedral tilt angles are 1°. In the sixth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with four OMg6 octahedra, corners with two equivalent OMg5B square pyramids, edges with ten OMg6 octahedra, and edges with two equivalent OMg5B square pyramids. The corner-sharing octahedra tilt angles range from 0–1°. In the seventh O site, O is bonded to six Mg atoms to form a mixture of corner and edge-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. In the eighth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OMg6 octahedra, edges with eight OMg6 octahedra, and edges with three OMg5B square pyramids. The corner-sharing octahedra tilt angles range from 0–4°. In the ninth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OMg6 octahedra, edges with nine OHfMg5 octahedra, and edges with three OMg5B square pyramids. The corner-sharing octahedra tilt angles range from 0–3°. In the tenth O site, O is bonded to four Mg, one Hf, and one B atom to form distorted OHfMg4B square pyramids that share corners with four OMg6 octahedra, corners with two equivalent OHfMg4B square pyramids, edges with seven OHfMg5 octahedra, and edges with four OMg5B square pyramids. The corner-sharing octahedra tilt angles range from 7–8°. In the eleventh O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with four OMg6 octahedra, corners with two equivalent OHfMg4B square pyramids, edges with ten OMg6 octahedra, and edges with two equivalent OMg5B square pyramids. The corner-sharing octahedra tilt angles range from 0–2°. In the twelfth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with four OMg6 octahedra, corners with two equivalent OHfMg4B square pyramids, edges with nine OHfMg5 octahedra, and edges with two OMg5B square pyramids. The corner-sharing octahedra tilt angles range from 0–2°. In the thirteenth O site, O is bonded to six Mg atoms to form a mixture of corner and edge-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. In the fourteenth O site, O is bonded to five Mg and one B atom to form distorted OMg5B square pyramids that share corners with four OHfMg5 octahedra, corners with two equivalent OMg5B square pyramids, edges with eight OMg6 octahedra, and edges with four OMg5B square pyramids. The corner-sharing octahedra tilt angles range from 3–5°. In the fifteenth O site, O is bonded to five Mg and one Hf atom to form OHfMg5 octahedra that share corners with four OHfMg5 octahedra, corners with two equivalent OMg5B square pyramids, edges with nine OMg6 octahedra, and edges with two equivalent OHfMg4B square pyramids. The corner-sharing octahedra tilt angles range from 0–9°. In the sixteenth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with four OMg6 octahedra, corners with two equivalent OMg5B square pyramids, edges with ten OMg6 octahedra, and edges with two OMg5B square pyramids. The corner-sharing octahedral tilt angles are 0°. In the seventeenth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OHfMg5 octahedra and edges with eleven OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–1°.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Li9Co7O16 by Materials Project

Li9Co7O16 is Caswellsilverite-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are nine inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six CoO6 octahedra, edges with four CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–11°. There are a spread of Li–O bond distances ranging from 2.09–2.17 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six CoO6 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 Li–O bond distances ranging from 2.05–2.29 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with four CoO6 octahedra, edges with six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 4–10°. There are a spread of Li–O bond distances ranging from 2.05–2.14 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six CoO6 octahedra, edges with five CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–11°. There are a spread of Li–O bond distances ranging from 2.05–2.29 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with four CoO6 octahedra, edges with six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 7–11°. There are a spread of Li–O bond distances ranging from 2.06–2.14 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six CoO6 octahedra, edges with five CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–6°. There are a spread of Li–O bond distances ranging from 2.07–2.27 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with four CoO6 octahedra, edges with six 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 2.06–2.14 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six CoO6 octahedra, edges with five CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–5°. There are a spread of Li–O bond distances ranging from 2.07–2.28 Å. In the ninth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 7–11°. There are a spread of Li–O bond distances ranging from 2.07–2.12 Å. There are seven inequivalent Co+3.29+ sites. In the first Co+3.29+ site, Co+3.29+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with five CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–7°. There are a spread of Co–O bond distances ranging from 1.86–1.95 Å. In the second Co+3.29+ site, Co+3.29+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with five CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–11°. There are a spread of Co–O bond distances ranging from 1.97–2.08 Å. In the third Co+3.29+ site, Co+3.29+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with five CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–7°. There are a spread of Co–O bond distances ranging from 1.86–1.95 Å. In the fourth Co+3.29+ site, Co+3.29+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with five CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–11°. There are a spread of Co–O bond distances ranging from 1.90–2.10 Å. In the fifth Co+3.29+ site, Co+3.29+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 4–10°. There are a spread of Co–O bond distances ranging from 1.94–2.07 Å. In the sixth Co+3.29+ site, Co+3.29+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with five CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–11°. There are a spread of Co–O bond distances ranging from 1.99–2.06 Å. In the seventh Co+3.29+ site, Co+3.29+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with five CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–11°. There are a spread of Co–O bond distances ranging from 1.89–2.11 Å. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded to four Li1+ and two Co+3.29+ atoms to form a mixture of corner and edge-sharing OLi4Co2 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the second O2- site, O2- is bonded to four Li1+ and two Co+3.29+ atoms to form OLi4Co2 octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi4Co2 octahedra. The corner-sharing octahedra tilt angles range from 0–5°. In the third O2- site, O2- is bonded to four Li1+ and two Co+3.29+ atoms to form OLi4Co2 octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi4Co2 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the fourth O2- site, O2- is bonded to three Li1+ and three Co+3.29+ atoms to form a mixture of corner and edge-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 3–5°. In the fifth O2- site, O2- is bonded to three Li1+ and three Co+3.29+ atoms to form a mixture of corner and edge-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–7°. In the sixth O2- site, O2- is bonded to three Li1+ and three Co+3.29+ atoms to form OLi3Co3 octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi4Co2 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the seventh O2- site, O2- is bonded to three Li1+ and three Co+3.29+ atoms to form a mixture of corner and edge-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. In the eighth O2- site, O2- is bonded to three Li1+ and three Co+3.29+ atoms to form OLi3Co3 octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi4Co2 octahedra. The corner-sharing octahedra tilt angles range from 2–6°. In the ninth O2- site, O2- is bonded to four Li1+ and two Co+3.29+ atoms to form a mixture of corner and edge-sharing OLi4Co2 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the tenth O2- site, O2- is bonded to three Li1+ and three Co+3.29+ atoms to form a mixture of corner and edge-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 3–5°. In the eleventh O2- site, O2- is bonded to three Li1+ and three Co+3.29+ atoms to form a mixture of corner and edge-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the twelfth O2- site, O2- is bonded to four Li1+ and two Co+3.29+ atoms to form a mixture of corner and edge-sharing OLi4Co2 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. In the thirteenth O2- site, O2- is bonded to three Li1+ and three Co+3.29+ atoms to form a mixture of corner and edge-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–7°. In the fourteenth O2- site, O2- is bonded to three Li1+ and three Co+3.29+ atoms to form a mixture of corner and edge-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 2–5°. In the fifteenth O2- site, O2- is bonded to four Li1+ and two Co+3.29+ atoms to form a mixture of corner and edge-sharing OLi4Co2 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. In the sixteenth O2- site, O2- is bonded to three Li1+ and three Co+3.29+ atoms to form OLi3Co3 octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi4Co2 octahedra. The corner-sharing octahedra tilt angles range from 0–4°.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Ba16Bi16O45 by Materials Project

Ba16Bi16O45 crystallizes in the orthorhombic Pmm2 space group. The structure is three-dimensional. there are eight inequivalent Ba2+ sites. In the first Ba2+ site, Ba2+ is bonded in a distorted q6 geometry to eleven O2- atoms. There are a spread of Ba–O bond distances ranging from 2.92–3.26 Å. In the second Ba2+ site, Ba2+ is bonded in a 11-coordinate geometry to eleven O2- atoms. There are a spread of Ba–O bond distances ranging from 2.93–3.32 Å. In the third Ba2+ site, Ba2+ is bonded in a 11-coordinate geometry to eleven O2- atoms. There are a spread of Ba–O bond distances ranging from 2.94–3.33 Å. In the fourth Ba2+ site, Ba2+ is bonded in a distorted q6 geometry to eleven O2- atoms. There are a spread of Ba–O bond distances ranging from 2.86–3.26 Å. In the fifth Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with four equivalent BaO12 cuboctahedra, faces with four equivalent BaO12 cuboctahedra, and faces with eight BiO6 octahedra. There are a spread of Ba–O bond distances ranging from 3.05–3.38 Å. In the sixth Ba2+ site, Ba2+ is bonded in a distorted q6 geometry to eleven O2- atoms. There are a spread of Ba–O bond distances ranging from 2.93–3.21 Å. In the seventh Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with four equivalent BaO12 cuboctahedra, faces with four equivalent BaO12 cuboctahedra, and faces with eight BiO6 octahedra. There are a spread of Ba–O bond distances ranging from 3.10–3.26 Å. In the eighth Ba2+ site, Ba2+ is bonded in a distorted q6 geometry to eleven O2- atoms. There are a spread of Ba–O bond distances ranging from 2.88–3.23 Å. There are sixteen inequivalent Bi+3.62+ sites. In the first Bi+3.62+ site, Bi+3.62+ is bonded to six O2- atoms to form corner-sharing BiO6 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Bi–O bond distances ranging from 2.19–2.25 Å. In the second Bi+3.62+ site, Bi+3.62+ is bonded to six O2- atoms to form corner-sharing BiO6 octahedra. The corner-sharing octahedra tilt angles range from 0–8°. There are a spread of Bi–O bond distances ranging from 2.18–2.28 Å. In the third Bi+3.62+ site, Bi+3.62+ is bonded in a square co-planar geometry to four O2- atoms. There are a spread of Bi–O bond distances ranging from 2.24–2.27 Å. In the fourth Bi+3.62+ site, Bi+3.62+ is bonded to six O2- atoms to form BiO6 octahedra that share corners with five BiO6 octahedra and faces with four equivalent BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of Bi–O bond distances ranging from 2.19–2.25 Å. In the fifth Bi+3.62+ site, Bi+3.62+ is bonded in a square co-planar geometry to four O2- atoms. There are a spread of Bi–O bond distances ranging from 2.24–2.27 Å. In the sixth Bi+3.62+ site, Bi+3.62+ is bonded to six O2- atoms to form corner-sharing BiO6 octahedra. The corner-sharing octahedra tilt angles range from 0–8°. There are a spread of Bi–O bond distances ranging from 2.19–2.28 Å. In the seventh Bi+3.62+ site, Bi+3.62+ is bonded in a square co-planar geometry to four O2- atoms. There are three shorter (2.25 Å) and one longer (2.26 Å) Bi–O bond lengths. In the eighth Bi+3.62+ site, Bi+3.62+ is bonded to six O2- atoms to form BiO6 octahedra that share corners with five BiO6 octahedra and faces with four equivalent BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–3°. There are a spread of Bi–O bond distances ranging from 2.19–2.26 Å. In the ninth Bi+3.62+ site, Bi+3.62+ is bonded to six O2- atoms to form BiO6 octahedra that share corners with six BiO6 octahedra and faces with four equivalent BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–11°. There are a spread of Bi–O bond distances ranging from 2.20–2.28 Å. In the tenth Bi+3.62+ site, Bi+3.62+ is bonded to six O2- atoms to form BiO6 octahedra that share corners with five BiO6 octahedra and faces with four equivalent BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of Bi–O bond distances ranging from 2.19–2.27 Å. In the eleventh Bi+3.62+ site, Bi+3.62+ is bonded to six O2- atoms to form corner-sharing BiO6 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. There are a spread of Bi–O bond distances ranging from 2.19–2.25 Å. In the twelfth Bi+3.62+ site, Bi+3.62+ is bonded to six O2- atoms to form corner-sharing BiO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are a spread of Bi–O bond distances ranging from 2.19–2.24 Å. In the thirteenth Bi+3.62+ site, Bi+3.62+ is bonded to six O2- atoms to form BiO6 octahedra that share corners with six BiO6 octahedra and faces with four equivalent BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–11°. There are a spread of Bi–O bond distances ranging from 2.20–2.27 Å. In the fourteenth Bi+3.62+ site, Bi+3.62+ is bonded to six O2- atoms to form BiO6 octahedra that share corners with six BiO6 octahedra and faces with four equivalent BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–8°. There are a spread of Bi–O bond distances ranging from 2.19–2.26 Å. In the fifteenth Bi+3.62+ site, Bi+3.62+ is bonded to six O2- atoms to form BiO6 octahedra that share corners with six BiO6 octahedra and faces with four equivalent BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–7°. There are a spread of Bi–O bond distances ranging from 2.20–2.26 Å. In the sixteenth Bi+3.62+ site, Bi+3.62+ is bonded to six O2- atoms to form BiO6 octahedra that share corners with five BiO6 octahedra and faces with four equivalent BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Bi–O bond distances ranging from 2.19–2.26 Å. There are thirty-seven inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two equivalent Bi+3.62+ atoms. In the second O2- site, O2- is bonded in a 2-coordinate geometry to four Ba2+ and two equivalent Bi+3.62+ atoms. In the third O2- site, O2- is bonded in a 2-coordinate geometry to four Ba2+ and two equivalent Bi+3.62+ atoms. In the fourth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two equivalent Bi+3.62+ atoms. In the fifth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two equivalent Bi+3.62+ atoms. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to four Ba2+ and two equivalent Bi+3.62+ atoms. In the seventh O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two equivalent Bi+3.62+ atoms. In the eighth O2- site, O2- is bonded in a 4-coordinate geometry to four Ba2+ and two equivalent Bi+3.62+ atoms. In the ninth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two equivalent Bi+3.62+ atoms. In the tenth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two equivalent Bi+3.62+ atoms. In the eleventh O2- site, O2- is bonded in a 6-coordinate geometry to four Ba2+ and two equivalent Bi+3.62+ atoms. In the twelfth O2- site, O2- is bonded in a 6-coordinate geometry to four Ba2+ and two equivalent Bi+3.62+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two equivalent Bi+3.62+ atoms. In the fourteenth O2- site, O2- is bonded to four Ba2+ and two Bi+3.62+ atoms to form a mixture of distorted face, edge, and corner-sharing OBa4Bi2 octahedra. The corner-sharing octahedra tilt angles range from 2–62°. In the fifteenth O2- site, O2- is bonded to four equivalent Ba2+ and two Bi+3.62+ atoms to form a mixture of distorted face, edge, and corner-sharing OBa4Bi2 octahedra. The corner-sharing octahedra tilt angles range from 0–62°. In the sixteenth O2- site, O2- is bonded in a distorted linear geometry to four equivalent Ba2+ and two Bi+3.62+ atoms. In the seventeenth O2- site, O2- is bonded to four Ba2+ and two Bi+3.62+ atoms to form a mixture of distorted face, edge, and corner-sharing OBa4Bi2 octahedra. The corner-sharing octahedra tilt angles range from 2–56°. In the eighteenth O2- site, O2- is bonded to four Ba2+ and two Bi+3.62+ atoms to form a mixture of distorted face, edge, and corner-sharing OBa4Bi2 octahedra. The corner-sharing octahedra tilt angles range from 1–59°. In the nineteenth O2- site, O2- is bonded to four equivalent Ba2+ and two Bi+3.62+ atoms to form a mixture of distorted face, edge, and corner-sharing OBa4Bi2 octahedra. The corner-sharing octahedra tilt angles range from 0–59°. In the twentieth O2- site, O2- is bonded in a distorted linear geometry to four equivalent Ba2+ and two Bi+3.62+ atoms. In the twenty-first O2- site, O2- is bonded to four equivalent Ba2+ and two Bi+3.62+ atoms to form a mixture of distorted face, edge, and corner-sharing OBa4Bi2 octahedra. The corner-sharing octahedra tilt angles range from 58–59°. In the twenty-second O2- site, O2- is bonded in a distorted linear geometry to four equivalent Ba2+ and two Bi+3.62+ atoms. In the twenty-third O2- site, O2- is bonded to four equivalent Ba2+ and two Bi+3.62+ atoms to form a mixture of distorted face, edge, and corner-sharing OBa4Bi2 octahedra. The corner-sharing octahedra tilt angles range from 0–58°. In the twenty-fourth O2- site, O2- is bonded to four Ba2+ and two Bi+3.62+ atoms to form a mixture of distorted face, edge, and corner-sharing OBa4Bi2 octahedra. The corner-sharing octahedra tilt angles range from 2–62°. In the twenty-fifth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two Bi+3.62+ atoms. In the twenty-sixth O2- site, O2- is bonded in a distorted linear geometry to four equivalent Ba2+ and two Bi+3.62+ atoms. In the twenty-seventh O2- site, O2- is bonded to four equivalent Ba2+ and two Bi+3.62+ atoms to form a mixture of distorted face, edge, and corner-sharing OBa4Bi2 octahedra. The corner-sharing octahedra tilt angles range from 0–61°. In the twenty-eighth O2- site, O2- is bonded in a distorted linear geometry to four equivalent Ba2+ and two Bi+3.62+ atoms. In the twenty-ninth O2- site, O2- is bonded in a distorted linear geometry to four equivalent Ba2+ and two Bi+3.62+ atoms. In the thirtieth O2- site, O2- is bonded to four Ba2+ and two Bi+3.62+ atoms to form a mixture of distorted face, edge, and corner-sharing OBa4Bi2 octahedra. The corner-sharing octahedra tilt angles range from 1–58°. In the thirty-first O2- site, O2- is bonded to four Ba2+ and two Bi+3.62+ atoms to form a mixture of distorted face, edge, and corner-sharing OBa4Bi2 octahedra. The corner-sharing octahedra tilt angles range from 0–61°. In the thirty-second O2- site, O2- is bonded in a distorted linear geometry to four equivalent Ba2+ and two Bi+3.62+ atoms. In the thirty-third O2- site, O2- is bonded to four equivalent Ba2+ and two Bi+3.62+ atoms to form a mixture of distorted face, edge, and corner-sharing OBa4Bi2 octahedra. The corner-sharing octahedra tilt angles range from 0–62°. In the thirty-fourth O2- site, O2- is bonded to four equivalent Ba2+ and two Bi+3.62+ atoms to form a mixture of distorted face, edge, and corner-sharing OBa4Bi2 octahedra. The corner-sharing octahedra tilt angles range from 0–55°. In the thirty-fifth O2- site, O2- is bonded to four equivalent Ba2+ and two Bi+3.62+ atoms to form a mixture of distorted face, edge, and corner-sharing OBa4Bi2 octahedra. The corner-sharing octahedra tilt angles range from 0–56°. In the thirty-sixth O2- site, O2- is bonded to four equivalent Ba2+ and two Bi+3.62+ atoms to form a mixture of distorted face, edge, and corner-sharing OBa4Bi2 octahedra. The corner-sharing octahedra tilt angles range from 0–61°. In the thirty-seventh O2- site, O2- is bonded to four Ba2+ and two Bi+3.62+ atoms to form a mixture of distorted face, edge, and corner-sharing OBa4Bi2 octahedra. The corner-sharing octahedra tilt angles range from 0–61°.

36 MATERIALS SCIENCE↗