Engineering Papers⌕ Search

SEARCH · Engineering Papers

Results for “corner”

Search indexed NASA NTRS and DOE OSTI research on propulsion, heat transfer, battery materials and energy systems. Follow report and document links to the original sources.

Quote a phrase for an exact phrase match. Source license links do not imply unrestricted reuse.

At least 91 records · Page 5
All sourcesNASA NTRSDOE OSTI
DOE OSTI2020

Materials Data on Fe32O35 by Materials Project

Fe32O35 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are thirty-two inequivalent Fe+2.19+ sites. In the first Fe+2.19+ site, Fe+2.19+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 1–18°. There are a spread of Fe–O bond distances ranging from 1.95–2.22 Å. In the second Fe+2.19+ site, Fe+2.19+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 2–18°. There are a spread of Fe–O bond distances ranging from 2.04–2.39 Å. In the third Fe+2.19+ site, Fe+2.19+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 0–25°. There are a spread of Fe–O bond distances ranging from 2.06–2.37 Å. In the fourth Fe+2.19+ site, Fe+2.19+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 1–5°. There are a spread of Fe–O bond distances ranging from 2.03–2.27 Å. In the fifth Fe+2.19+ site, Fe+2.19+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 1–5°. There are a spread of Fe–O bond distances ranging from 2.06–2.30 Å. In the sixth Fe+2.19+ site, Fe+2.19+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 4–5°. There are a spread of Fe–O bond distances ranging from 1.97–2.15 Å. In the seventh Fe+2.19+ site, Fe+2.19+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 2–24°. There are a spread of Fe–O bond distances ranging from 1.98–2.40 Å. In the eighth Fe+2.19+ site, Fe+2.19+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 2–12°. There are a spread of Fe–O bond distances ranging from 2.01–2.12 Å. In the ninth Fe+2.19+ site, Fe+2.19+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 0–23°. There are a spread of Fe–O bond distances ranging from 2.00–2.40 Å. In the tenth Fe+2.19+ site, Fe+2.19+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 4–13°. There are a spread of Fe–O bond distances ranging from 2.11–2.26 Å. In the eleventh Fe+2.19+ site, Fe+2.19+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 1–25°. There are a spread of Fe–O bond distances ranging from 2.07–2.27 Å. In the twelfth Fe+2.19+ site, Fe+2.19+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 3–9°. There are a spread of Fe–O bond distances ranging from 2.00–2.35 Å. In the thirteenth Fe+2.19+ site, Fe+2.19+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 3–4°. There are a spread of Fe–O bond distances ranging from 2.02–2.27 Å. In the fourteenth Fe+2.19+ site, Fe+2.19+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 1–13°. There are a spread of Fe–O bond distances ranging from 2.08–2.22 Å. In the fifteenth Fe+2.19+ site, Fe+2.19+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 6–11°. There are a spread of Fe–O bond distances ranging from 2.14–2.26 Å. In the sixteenth Fe+2.19+ site, Fe+2.19+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 1–24°. There are a spread of Fe–O bond distances ranging from 2.01–2.36 Å. In the seventeenth Fe+2.19+ site, Fe+2.19+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 1–23°. There are a spread of Fe–O bond distances ranging from 2.02–2.33 Å. In the eighteenth Fe+2.19+ site, Fe+2.19+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 2–9°. There are a spread of Fe–O bond distances ranging from 2.07–2.30 Å. In the nineteenth Fe+2.19+ site, Fe+2.19+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 5–6°. There are a spread of Fe–O bond distances ranging from 2.15–2.27 Å. In the twentieth Fe+2.19+ site, Fe+2.19+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 3–7°. There are a spread of Fe–O bond distances ranging from 2.05–2.33 Å. In the twenty-first Fe+2.19+ site, Fe+2.19+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 3–5°. There are a spread of Fe–O bond distances ranging from 1.97–2.13 Å. In the twenty-second Fe+2.19+ site, Fe+2.19+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 5–7°. There are a spread of Fe–O bond distances ranging from 2.13–2.24 Å. In the twenty-third Fe+2.19+ site, Fe+2.19+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 3–9°. There are a spread of Fe–O bond distances ranging from 2.11–2.24 Å. In the twenty-fourth Fe+2.19+ site, Fe+2.19+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 1–19°. There are a spread of Fe–O bond distances ranging from 2.07–2.35 Å. In the twenty-fifth Fe+2.19+ site, Fe+2.19+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 1–25°. There are a spread of Fe–O bond distances ranging from 2.08–2.28 Å. In the twenty-sixth Fe+2.19+ site, Fe+2.19+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 3–25°. There are a spread of Fe–O bond distances ranging from 2.08–2.34 Å. In the twenty-seventh Fe+2.19+ site, Fe+2.19+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 1–7°. There are a spread of Fe–O bond distances ranging from 2.09–2.28 Å. In the twenty-eighth Fe+2.19+ site, Fe+2.19+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 2–7°. There are a spread of Fe–O bond distances ranging from 2.04–2.30 Å. In the twenty-ninth Fe+2.19+ site, Fe+2.19+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 2–5°. There are a spread of Fe–O bond distances ranging from 2.00–2.17 Å. In the thirtieth Fe+2.19+ site, Fe+2.19+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 3–6°. There are a spread of Fe–O bond distances ranging from 2.13–2.33 Å. In the thirty-first Fe+2.19+ site, Fe+2.19+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 1–7°. There are a spread of Fe–O bond distances ranging from 2.13–2.26 Å. In the thirty-second Fe+2.19+ site, Fe+2.19+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 4–19°. There are a spread of Fe–O bond distances ranging from 1.96–2.24 Å. There are thirty-five inequivalent O2- sites. In the first O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Fe+2.19+ atoms. In the second O2- site, O2- is bonded to six Fe+2.19+ atoms to form OFe6 octahedra that share corners with four OFe6 octahedra, corners with two equivalent OFe5 square pyramids, edges with nine OFe6 octahedra, and an edgeedge with one OFe5 square pyramid. The corner-sharing octahedra tilt angles range from 2–9°. In the third O2- site, O2- is bonded to five Fe+2.19+ atoms to form OFe5 square pyramids that share corners with four OFe6 octahedra, a cornercorner with one OFe5 square pyramid, corners with two equivalent OFe4 trigonal pyramids, edges with six OFe6 octahedra, and edges with two equivalent OFe5 square pyramids. The corner-sharing octahedra tilt angles range from 11–17°. In the fourth O2- site, O2- is bonded to six Fe+2.19+ atoms to form OFe6 octahedra that share corners with four OFe6 octahedra, corners with two equivalent OFe5 square pyramids, edges with nine OFe6 octahedra, an edgeedge with one OFe5 square pyramid, and edges with two equivalent OFe4 trigonal pyramids. The corner-sharing octahedra tilt angles range from 2–6°. In the fifth O2- site, O2- is bonded to six Fe+2.19+ atoms to form OFe6 octahedra that share corners with four OFe6 octahedra, a cornercorner with one OFe4 trigonal pyramid, edges with eight OFe6 octahedra, and edges with four OFe5 square pyramids. The corner-sharing octahedra tilt angles range from 1–4°. In the sixth O2- site, O2- is bonded to six Fe+2.19+ atoms to form OFe6 octahedra that share corners with four OFe6 octahedra, corners with two OFe4 trigonal pyramids, edges with eight OFe6 octahedra, and edges with four OFe5 square pyramids. The corner-sharing octahedral tilt angles are 1°. In the seventh O2- site, O2- is bonded to four Fe+2.19+ atoms to form distorted OFe4 trigonal pyramids that share corners with four OFe6 octahedra, corners with four OFe5 square pyramids, corners with two equivalent OFe4 trigonal pyramids, and edges with five OFe6 octahedra. The corner-sharing octahedra tilt angles range from 3–14°. In the eighth O2- site, O2- is bonded to six Fe+2.19+ atoms to form OFe6 octahedra that share corners with two OFe6 octahedra, corners with two equivalent OFe5 square pyramids, corners with two equivalent OFe4 trigonal pyramids, edges with eight OFe6 octahedra, an edgeedge with one OFe5 square pyramid, and edges with three OFe4 trigonal pyramids. The corner-sharing octahedra tilt angles range from 1–5°. In the ninth O2- site, O2- is bonded to five Fe+2.19+ atoms to form OFe5 square pyramids that share corners with four OFe6 octahedra, a cornercorner with one OFe5 square pyramid, corners with four OFe4 trigonal pyramids, edges with six OFe6 octahedra, and edges with two equivalent OFe5 square pyramids. The corner-sharing octahedra tilt angles range from 17–19°. In the tenth O2- site, O2- is bonded to six Fe+2.19+ atoms to form OFe6 octahedra that share corners with four OFe6 octahedra, corners with two equivalent OFe5 square pyramids, edges with nine OFe6 octahedra, an edgeedge with one OFe5 square pyramid, and edges with two equivalent OFe4 trigonal pyramids. The corner-sharing octahedra tilt angles range from 2–6°. In the eleventh O2- site, O2- is bonded to six Fe+2.19+ atoms to form OFe6 octahedra that share corners with two OFe6 octahedra, corners with two equivalent OFe5 square pyramids, corners with two equivalent OFe4 trigonal pyramids, edges with eight OFe6 octahedra, an edgeedge with one OFe5 square pyramid, and edges with three OFe4 trigonal pyramids. The corner-sharing oc

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 RbNbSiO5 by Materials Project

RbNbSiO5 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are sixteen inequivalent Rb1+ sites. In the first Rb1+ site, Rb1+ is bonded in a 1-coordinate geometry to eleven O2- atoms. There are a spread of Rb–O bond distances ranging from 2.83–3.49 Å. In the second Rb1+ site, Rb1+ is bonded in a 1-coordinate geometry to eleven O2- atoms. There are a spread of Rb–O bond distances ranging from 2.83–3.49 Å. In the third Rb1+ site, Rb1+ is bonded in a 1-coordinate geometry to eleven O2- atoms. There are a spread of Rb–O bond distances ranging from 2.82–3.47 Å. In the fourth Rb1+ site, Rb1+ is bonded in a 1-coordinate geometry to eleven O2- atoms. There are a spread of Rb–O bond distances ranging from 2.82–3.47 Å. In the fifth Rb1+ site, Rb1+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of Rb–O bond distances ranging from 3.05–3.48 Å. In the sixth Rb1+ site, Rb1+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of Rb–O bond distances ranging from 3.05–3.48 Å. In the seventh Rb1+ site, Rb1+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of Rb–O bond distances ranging from 3.05–3.48 Å. In the eighth Rb1+ site, Rb1+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of Rb–O bond distances ranging from 3.04–3.48 Å. In the ninth Rb1+ site, Rb1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Rb–O bond distances ranging from 2.84–3.17 Å. In the tenth Rb1+ site, Rb1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Rb–O bond distances ranging from 2.84–3.17 Å. In the eleventh Rb1+ site, Rb1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Rb–O bond distances ranging from 2.86–3.17 Å. In the twelfth Rb1+ site, Rb1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Rb–O bond distances ranging from 2.86–3.17 Å. In the thirteenth Rb1+ site, Rb1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Rb–O bond distances ranging from 2.87–3.09 Å. In the fourteenth Rb1+ site, Rb1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Rb–O bond distances ranging from 2.87–3.09 Å. In the fifteenth Rb1+ site, Rb1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Rb–O bond distances ranging from 2.86–3.09 Å. In the sixteenth Rb1+ site, Rb1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Rb–O bond distances ranging from 2.87–3.09 Å. There are sixteen inequivalent Nb5+ sites. In the first Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with four NbO6 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 36–45°. There are a spread of Nb–O bond distances ranging from 1.97–2.09 Å. In the second Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with four NbO6 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 36–45°. There are a spread of Nb–O bond distances ranging from 1.95–2.12 Å. In the third Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with four NbO6 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 36–45°. There are a spread of Nb–O bond distances ranging from 1.95–2.11 Å. In the fourth Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with four NbO6 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 36–45°. There are a spread of Nb–O bond distances ranging from 1.97–2.10 Å. In the fifth Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with four NbO6 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 37–45°. There are a spread of Nb–O bond distances ranging from 1.95–2.12 Å. In the sixth Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with four NbO6 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 37–45°. There are a spread of Nb–O bond distances ranging from 1.97–2.09 Å. In the seventh Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with four NbO6 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 37–45°. There are a spread of Nb–O bond distances ranging from 1.95–2.11 Å. In the eighth Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with four NbO6 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 37–45°. There are a spread of Nb–O bond distances ranging from 1.96–2.10 Å. In the ninth Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with four NbO6 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 38–45°. There are a spread of Nb–O bond distances ranging from 1.96–2.07 Å. In the tenth Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with four NbO6 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 38–45°. There are a spread of Nb–O bond distances ranging from 1.95–2.08 Å. In the eleventh Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with four NbO6 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 37–45°. There are a spread of Nb–O bond distances ranging from 1.96–2.06 Å. In the twelfth Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with four NbO6 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 38–45°. There are a spread of Nb–O bond distances ranging from 1.95–2.09 Å. In the thirteenth Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with four NbO6 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 38–45°. There are a spread of Nb–O bond distances ranging from 1.96–2.08 Å. In the fourteenth Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with four NbO6 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 38–45°. There are a spread of Nb–O bond distances ranging from 1.97–2.07 Å. In the fifteenth Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with four NbO6 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 37–45°. There are a spread of Nb–O bond distances ranging from 1.97–2.06 Å. In the sixteenth Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with four NbO6 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 38–45°. There are a spread of Nb–O bond distances ranging from 1.96–2.09 Å. There are sixteen inequivalent Si4+ sites. In the first Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two NbO6 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 43–46°. There are a spread of Si–O bond distances ranging from 1.63–1.66 Å. In the second Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two NbO6 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 44–46°. There is three shorter (1.63 Å) and one longer (1.67 Å) Si–O bond length. In the third Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two NbO6 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 44–46°. There is three shorter (1.63 Å) and one longer (1.66 Å) Si–O bond length. In the fourth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two NbO6 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 43–47°. There are a spread of Si–O bond distances ranging from 1.63–1.66 Å. In the fifth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two NbO6 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 44–46°. There is three shorter (1.63 Å) and one longer (1.67 Å) Si–O bond length. In the sixth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two NbO6 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 43–46°. There is three shorter (1.63 Å) and one longer (1.66 Å) Si–O bond length. In the seventh Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two NbO6 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 44–46°. There is three shorter (1.63 Å) and one longer (1.66 Å) Si–O bond length. In the eighth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two NbO6 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 43–46°. There is three shorter (1.63 Å) and one longer (1.67 Å) Si–O bond length. In the ninth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two NbO6 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 42–46°. There is three shorter (1.63 Å) and one longer (1.67 Å) Si–O bond length. In the tenth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two NbO6 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 41–46°. There are a spread of Si–O bond distances ranging from 1.63–1.67 Å. In the eleventh Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two NbO6 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 42–46°. There is three shorter (1.63 Å) and one longer (1.67 Å) Si–O bond length. In the twelfth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two NbO6 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 41–46°. There are a spread of Si–O bond distances ranging from 1.63–1.67 Å. In the thirteenth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two NbO6 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 41–46°. There are a spread of Si–O bond distances ranging from 1.63–1.67 Å. In the fourteenth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two NbO6 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 42–46°. There are a spread of Si–O bond distances ranging from 1.63–1.67 Å. In the fifteenth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two NbO6 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 42–46°. There are a spread of Si–O bond distances ranging from 1.63–1.67 Å. In the sixteenth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two NbO6 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 41–4

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on KBa6Zn4(GaO3)7 by Materials Project

KBa6Zn4(GaO3)7 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are two inequivalent K1+ sites. In the first K1+ site, K1+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of K–O bond distances ranging from 2.87–2.97 Å. In the second K1+ site, K1+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of K–O bond distances ranging from 2.89–2.97 Å. There are twelve inequivalent Ba2+ sites. In the first Ba2+ site, Ba2+ is bonded to six O2- atoms to form distorted BaO6 octahedra that share corners with two BaO6 octahedra, corners with two ZnO4 tetrahedra, corners with seven GaO4 tetrahedra, and an edgeedge with one ZnO4 tetrahedra. The corner-sharing octahedral tilt angles are 73°. There are a spread of Ba–O bond distances ranging from 2.64–2.83 Å. In the second Ba2+ site, Ba2+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ba–O bond distances ranging from 2.57–2.87 Å. In the third Ba2+ site, Ba2+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ba–O bond distances ranging from 2.58–2.87 Å. In the fourth Ba2+ site, Ba2+ is bonded to six O2- atoms to form distorted BaO6 octahedra that share corners with two BaO6 octahedra, corners with two ZnO4 tetrahedra, corners with seven GaO4 tetrahedra, and an edgeedge with one ZnO4 tetrahedra. The corner-sharing octahedral tilt angles are 73°. There are a spread of Ba–O bond distances ranging from 2.65–2.82 Å. In the fifth Ba2+ site, Ba2+ is bonded to six O2- atoms to form BaO6 octahedra that share corners with two BaO6 octahedra, corners with three ZnO4 tetrahedra, corners with six GaO4 tetrahedra, and an edgeedge with one ZnO4 tetrahedra. The corner-sharing octahedra tilt angles range from 74–76°. There are a spread of Ba–O bond distances ranging from 2.64–2.82 Å. In the sixth Ba2+ site, Ba2+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ba–O bond distances ranging from 2.56–2.86 Å. In the seventh Ba2+ site, Ba2+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ba–O bond distances ranging from 2.61–2.85 Å. In the eighth Ba2+ site, Ba2+ is bonded to six O2- atoms to form BaO6 octahedra that share corners with two BaO6 octahedra, a cornercorner with one ZnO4 tetrahedra, corners with eight GaO4 tetrahedra, and an edgeedge with one ZnO4 tetrahedra. The corner-sharing octahedral tilt angles are 73°. There are a spread of Ba–O bond distances ranging from 2.65–2.79 Å. In the ninth Ba2+ site, Ba2+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ba–O bond distances ranging from 2.59–2.83 Å. In the tenth Ba2+ site, Ba2+ is bonded to six O2- atoms to form distorted BaO6 octahedra that share corners with two BaO6 octahedra, corners with two ZnO4 tetrahedra, corners with seven GaO4 tetrahedra, and an edgeedge with one ZnO4 tetrahedra. The corner-sharing octahedra tilt angles range from 73–76°. There are a spread of Ba–O bond distances ranging from 2.62–2.83 Å. In the eleventh Ba2+ site, Ba2+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ba–O bond distances ranging from 2.57–2.83 Å. In the twelfth Ba2+ site, Ba2+ is bonded to six O2- atoms to form distorted BaO6 octahedra that share corners with two BaO6 octahedra, corners with three ZnO4 tetrahedra, corners with six GaO4 tetrahedra, and an edgeedge with one GaO4 tetrahedra. The corner-sharing octahedra tilt angles range from 73–74°. There are a spread of Ba–O bond distances ranging from 2.69–2.79 Å. There are eight inequivalent Zn2+ sites. In the first Zn2+ site, Zn2+ is bonded to four O2- atoms to form ZnO4 tetrahedra that share corners with three BaO6 octahedra, a cornercorner with one ZnO4 tetrahedra, and corners with four GaO4 tetrahedra. The corner-sharing octahedra tilt angles range from 70–84°. There are a spread of Zn–O bond distances ranging from 1.96–2.09 Å. In the second Zn2+ site, Zn2+ is bonded to four O2- atoms to form ZnO4 tetrahedra that share a cornercorner with one BaO6 octahedra, a cornercorner with one ZnO4 tetrahedra, corners with four GaO4 tetrahedra, and an edgeedge with one BaO6 octahedra. The corner-sharing octahedral tilt angles are 74°. There are a spread of Zn–O bond distances ranging from 1.97–2.10 Å. In the third Zn2+ site, Zn2+ is bonded to four O2- atoms to form ZnO4 tetrahedra that share a cornercorner with one BaO6 octahedra, corners with five GaO4 tetrahedra, and an edgeedge with one BaO6 octahedra. The corner-sharing octahedral tilt angles are 73°. There are a spread of Zn–O bond distances ranging from 1.96–2.08 Å. In the fourth Zn2+ site, Zn2+ is bonded to four O2- atoms to form ZnO4 tetrahedra that share corners with three BaO6 octahedra, a cornercorner with one ZnO4 tetrahedra, and corners with four GaO4 tetrahedra. The corner-sharing octahedra tilt angles range from 70–81°. There are a spread of Zn–O bond distances ranging from 1.98–2.02 Å. In the fifth Zn2+ site, Zn2+ is bonded to four O2- atoms to form ZnO4 tetrahedra that share a cornercorner with one BaO6 octahedra, corners with five GaO4 tetrahedra, and an edgeedge with one BaO6 octahedra. The corner-sharing octahedral tilt angles are 74°. There are a spread of Zn–O bond distances ranging from 1.96–2.06 Å. In the sixth Zn2+ site, Zn2+ is bonded to four O2- atoms to form ZnO4 tetrahedra that share a cornercorner with one BaO6 octahedra, a cornercorner with one ZnO4 tetrahedra, corners with four GaO4 tetrahedra, and an edgeedge with one BaO6 octahedra. The corner-sharing octahedral tilt angles are 75°. There are a spread of Zn–O bond distances ranging from 1.97–2.09 Å. In the seventh Zn2+ site, Zn2+ is bonded to four O2- atoms to form ZnO4 tetrahedra that share a cornercorner with one BaO6 octahedra, a cornercorner with one ZnO4 tetrahedra, corners with four GaO4 tetrahedra, and an edgeedge with one BaO6 octahedra. The corner-sharing octahedral tilt angles are 73°. There are a spread of Zn–O bond distances ranging from 1.98–2.06 Å. In the eighth Zn2+ site, Zn2+ is bonded to four O2- atoms to form ZnO4 tetrahedra that share corners with two BaO6 octahedra, a cornercorner with one ZnO4 tetrahedra, and corners with five GaO4 tetrahedra. The corner-sharing octahedra tilt angles range from 70–71°. There are a spread of Zn–O bond distances ranging from 1.97–2.02 Å. There are fourteen inequivalent Ga3+ sites. In the first Ga3+ site, Ga3+ is bonded to four O2- atoms to form GaO4 tetrahedra that share corners with two BaO6 octahedra, corners with three ZnO4 tetrahedra, and corners with three GaO4 tetrahedra. The corner-sharing octahedra tilt angles range from 64–66°. There are a spread of Ga–O bond distances ranging from 1.85–1.94 Å. In the second Ga3+ site, Ga3+ is bonded to four O2- atoms to form GaO4 tetrahedra that share corners with two BaO6 octahedra, corners with three ZnO4 tetrahedra, and corners with three GaO4 tetrahedra. The corner-sharing octahedra tilt angles range from 65–67°. There are a spread of Ga–O bond distances ranging from 1.85–1.94 Å. In the third Ga3+ site, Ga3+ is bonded to four O2- atoms to form GaO4 tetrahedra that share corners with three BaO6 octahedra and corners with three ZnO4 tetrahedra. The corner-sharing octahedra tilt angles range from 43–44°. There is three shorter (1.86 Å) and one longer (1.95 Å) Ga–O bond length. In the fourth Ga3+ site, Ga3+ is bonded to four O2- atoms to form GaO4 tetrahedra that share corners with six BaO6 octahedra, a cornercorner with one GaO4 tetrahedra, and corners with two ZnO4 tetrahedra. The corner-sharing octahedra tilt angles range from 60–70°. There are a spread of Ga–O bond distances ranging from 1.86–1.93 Å. In the fifth Ga3+ site, Ga3+ is bonded to four O2- atoms to form GaO4 tetrahedra that share corners with two BaO6 octahedra, corners with three ZnO4 tetrahedra, and corners with three GaO4 tetrahedra. The corner-sharing octahedra tilt angles range from 66–69°. There are a spread of Ga–O bond distances ranging from 1.85–1.94 Å. In the sixth Ga3+ site, Ga3+ is bonded to four O2- atoms to form GaO4 tetrahedra that share corners with three BaO6 octahedra, corners with two ZnO4 tetrahedra, and corners with three GaO4 tetrahedra. The corner-sharing octahedra tilt angles range from 69–81°. There are a spread of Ga–O bond distances ranging from 1.86–1.91 Å. In the seventh Ga3+ site, Ga3+ is bonded to four O2- atoms to form GaO4 tetrahedra that share corners with three BaO6 octahedra, corners with two ZnO4 tetrahedra, and corners with three GaO4 tetrahedra. The corner-sharing octahedra tilt angles range from 69–81°. There are a spread of Ga–O bond distances ranging from 1.86–1.91 Å. In the eighth Ga3+ site, Ga3+ is bonded to four O2- atoms to form GaO4 tetrahedra that share corners with two BaO6 octahedra, corners with three ZnO4 tetrahedra, and corners with three GaO4 tetrahedra. The corner-sharing octahedra tilt angles range from 68–69°. There are a spread of Ga–O bond distances ranging from 1.85–1.92 Å. In the ninth Ga3+ site, Ga3+ is bonded to four O2- atoms to form GaO4 tetrahedra that share corners with two BaO6 octahedra, corners with three ZnO4 tetrahedra, and corners with three GaO4 tetrahedra. The corner-sharing octahedra tilt angles range from 67–69°. There are a spread of Ga–O bond distances ranging from 1.85–1.92 Å. In the tenth Ga3+ site, Ga3+ is bonded to four O2- atoms to form GaO4 tetrahedra that share corners with three BaO6 octahedra, a cornercorner with one GaO4 tetrahedra, and corners with two ZnO4 tetrahedra. The corner-sharing octahedra tilt angles range from 42–46°. There are a spread of Ga–O bond distances ranging from 1.84–1.94 Å. In the eleventh Ga3+ site, Ga3+ is bonded to four O2- atoms to form GaO4 tetrahedra that share corners with three BaO6 octahedra, corners with two GaO4 tetrahedra, and corners with three ZnO4 tetrahedra. The corner-sharing octahedra tilt angles range from 70–82°. There are a spread of Ga–O bond distances ranging from 1.87–1.90 Å. In the twelfth Ga3+ site, Ga3+ is bonded to four O2- atoms to form GaO4 tetrahedra that share corners with three BaO6 octahedra, corners with two GaO4 tetrahedra, and corners with three ZnO4 tetrahedra. The corner-sharing octahedra tilt angles range from 66–79°. There are a spread of Ga–O bond distances ranging from 1.85–1.92 Å. In the thirteenth Ga3+ site, Ga3+ is bonded to four O2- atoms to form GaO4 tetrahedra that share a cornercorner with one BaO6 octahedra, corners with two GaO4 tetrahedra, corners with three ZnO4 tetrahedra, and an edgeedge with one BaO6 octahedra. The corner-sharing octahedral tilt angles are 70°. There are a spread of Ga–O bond distances ranging from 1.86–1.91 Å. In the fourteenth Ga3+ site, Ga3+ is bonded to four O2- atoms to form GaO4 tetrahedra that share corners with six BaO6 octahedra and corners with three GaO4 tetrahedra. The corner-sharing octahedra tilt angles range from 62–67°. There are a spread of Ga–O bond distances ranging from 1.85–1.90 Å. There are forty-two inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to two Ba2+ and two Ga3+ atoms. In the second O2- site, O2- is bonded to two Ba2+, one Zn2+, and one Ga3+ atom to form distorted OBa2ZnGa tetrahedra that share corners with five OBa3Ga tetrahedra and a cornercorner with one OKBa3Ga trigonal bipyramid. In the third O2- site, O2- is bonded in a 3-coordinate geometry to one K1+, one Zn2+, and two Ga3+ atoms. In the fourth O2- site, O2- is bonded in a 5-coordinate geometry to one K1+, two Ba2+, and two Zn2+ atoms. In the fifth O2- site, O2- is bonded to two Ba2+, one Zn2+, and one Ga3+ atom to form distorted OBa2ZnGa tetrahedra that share corners with six OBa3Ga tetrahedra and a cornercorner with one OKBa3Ga trigonal bipyramid. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to two Ba2+, one Zn2+, and one Ga3+ atom. In the seventh O2- sit

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Fe35O36 by Materials Project

Fe35O36 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are thirty-five inequivalent Fe+2.06+ sites. In the first Fe+2.06+ site, Fe+2.06+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 2–10°. There are a spread of Fe–O bond distances ranging from 2.11–2.33 Å. In the second Fe+2.06+ site, Fe+2.06+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 3–8°. There are a spread of Fe–O bond distances ranging from 2.13–2.32 Å. In the third Fe+2.06+ site, Fe+2.06+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 2–7°. There are a spread of Fe–O bond distances ranging from 2.13–2.27 Å. In the fourth Fe+2.06+ site, Fe+2.06+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 2–7°. There are a spread of Fe–O bond distances ranging from 2.12–2.24 Å. In the fifth Fe+2.06+ site, Fe+2.06+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 4–11°. There are a spread of Fe–O bond distances ranging from 2.11–2.31 Å. In the sixth Fe+2.06+ site, Fe+2.06+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 1–17°. There are a spread of Fe–O bond distances ranging from 2.10–2.24 Å. In the seventh Fe+2.06+ site, Fe+2.06+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 2–10°. There are a spread of Fe–O bond distances ranging from 2.09–2.30 Å. In the eighth Fe+2.06+ site, Fe+2.06+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 2–4°. There are a spread of Fe–O bond distances ranging from 2.03–2.20 Å. In the ninth Fe+2.06+ site, Fe+2.06+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 1–10°. There are a spread of Fe–O bond distances ranging from 2.12–2.22 Å. In the tenth Fe+2.06+ site, Fe+2.06+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 3–17°. There are a spread of Fe–O bond distances ranging from 2.08–2.33 Å. In the eleventh Fe+2.06+ site, Fe+2.06+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 2–9°. There are a spread of Fe–O bond distances ranging from 2.12–2.27 Å. In the twelfth Fe+2.06+ site, Fe+2.06+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 3–9°. There are a spread of Fe–O bond distances ranging from 2.12–2.25 Å. In the thirteenth Fe+2.06+ site, Fe+2.06+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 2–10°. There are a spread of Fe–O bond distances ranging from 2.07–2.26 Å. In the fourteenth Fe+2.06+ site, Fe+2.06+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 1–5°. There are a spread of Fe–O bond distances ranging from 2.04–2.08 Å. In the fifteenth Fe+2.06+ site, Fe+2.06+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 1–7°. There are a spread of Fe–O bond distances ranging from 2.14–2.20 Å. In the sixteenth Fe+2.06+ site, Fe+2.06+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 4–13°. There are a spread of Fe–O bond distances ranging from 2.07–2.30 Å. In the seventeenth Fe+2.06+ site, Fe+2.06+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 1–8°. There are a spread of Fe–O bond distances ranging from 2.07–2.31 Å. In the eighteenth Fe+2.06+ site, Fe+2.06+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 5–11°. There are a spread of Fe–O bond distances ranging from 2.09–2.25 Å. In the nineteenth Fe+2.06+ site, Fe+2.06+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 3–9°. There are a spread of Fe–O bond distances ranging from 2.10–2.31 Å. In the twentieth Fe+2.06+ site, Fe+2.06+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 2–12°. There are a spread of Fe–O bond distances ranging from 2.09–2.26 Å. In the twenty-first Fe+2.06+ site, Fe+2.06+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 1–6°. There are a spread of Fe–O bond distances ranging from 2.03–2.13 Å. In the twenty-second Fe+2.06+ site, Fe+2.06+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 7–12°. There are a spread of Fe–O bond distances ranging from 2.08–2.27 Å. In the twenty-third Fe+2.06+ site, Fe+2.06+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 4–14°. There are a spread of Fe–O bond distances ranging from 2.12–2.32 Å. In the twenty-fourth Fe+2.06+ site, Fe+2.06+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 3–8°. There are a spread of Fe–O bond distances ranging from 2.07–2.24 Å. In the twenty-fifth Fe+2.06+ site, Fe+2.06+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 1–13°. There are a spread of Fe–O bond distances ranging from 2.10–2.32 Å. In the twenty-sixth Fe+2.06+ site, Fe+2.06+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 2–10°. There are a spread of Fe–O bond distances ranging from 2.13–2.22 Å. In the twenty-seventh Fe+2.06+ site, Fe+2.06+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 1–6°. There are a spread of Fe–O bond distances ranging from 2.10–2.37 Å. In the twenty-eighth Fe+2.06+ site, Fe+2.06+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 2–9°. There are a spread of Fe–O bond distances ranging from 2.13–2.24 Å. In the twenty-ninth Fe+2.06+ site, Fe+2.06+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 2–9°. There are a spread of Fe–O bond distances ranging from 2.15–2.27 Å. In the thirtieth Fe+2.06+ site, Fe+2.06+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 2–4°. There are a spread of Fe–O bond distances ranging from 2.12–2.24 Å. In the thirty-first Fe+2.06+ site, Fe+2.06+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 3–14°. There are a spread of Fe–O bond distances ranging from 2.09–2.25 Å. In the thirty-second Fe+2.06+ site, Fe+2.06+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 1–4°. There are a spread of Fe–O bond distances ranging from 2.12–2.29 Å. In the thirty-third Fe+2.06+ site, Fe+2.06+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 2–10°. There are a spread of Fe–O bond distances ranging from 2.15–2.24 Å. In the thirty-fourth Fe+2.06+ site, Fe+2.06+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 1–10°. There are a spread of Fe–O bond distances ranging from 2.08–2.32 Å. In the thirty-fifth Fe+2.06+ site, Fe+2.06+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 1–11°. There are a spread of Fe–O bond distances ranging from 2.09–2.33 Å. There are thirty-six inequivalent O2- sites. In the first O2- site, O2- is bonded to six Fe+2.06+ atoms to form OFe6 octahedra that share corners with six OFe6 octahedra, edges with nine OFe6 octahedra, and edges with three OFe5 square pyramids. The corner-sharing octahedra tilt angles range from 1–12°. In the second O2- site, O2- is bonded to six Fe+2.06+ atoms to form OFe6 octahedra that share corners with five OFe6 octahedra, a cornercorner with one OFe5 square pyramid, edges with eleven OFe6 octahedra, and an edgeedge with one OFe5 square pyramid. The corner-sharing octahedra tilt angles range from 2–5°. In the third O2- site, O2- is bonded to six Fe+2.06+ atoms to form OFe6 octahedra that share corners with six OFe6 octahedra, edges with nine OFe6 octahedra, and edges with three OFe5 square pyramids. The corner-sharing octahedra tilt angles range from 4–9°. In the fourth O2- site, O2- is bonded to six Fe+2.06+ atoms to form OFe6 octahedra that share corners with five OFe6 octahedra, a cornercorner with one OFe5 square pyramid, edges with eleven OFe6 octahedra, and an edgeedge with one OFe5 square pyramid. The corner-sharing octahedra tilt angles range from 1–7°. In the fifth O2- site, O2- is bonded to six Fe+2.06+ atoms to form OFe6 octahedra that share corners with four OFe6 octahedra, corners with two OFe5 square pyramids, edges with ten OFe6 octahedra, and edges with two OFe5 square pyramids. The corner-sharing octahedra tilt angles range from 2–7°. In the sixth O2- site, O2- is bonded to five Fe+2.06+ atoms to form OFe5 square pyramids that share corners with five OFe6 octahedra, corners with four OFe5 square pyramids, and edges with eight OFe6 octahedra. The corner-sharing octahedra tilt angles range from 1–12°. In the seventh O2- site, O2- is bonded to five Fe+2.06+ atoms to form OFe5 square pyramids that share corners with five OFe6 octahedra, corners with four OFe5 square pyramids, and edges with eight OFe6 octahedra. The corner-sharing octahedra tilt angles range from 1–10°. In the eighth O2- site, O2- is bonded to six Fe+2.06+ atoms to form OFe6 octahedra that share corners with five OFe6 octahedra, a cornercorner with one OFe5 square pyramid, edges with eleven OFe6 octahedra, and an edgeedge with one OFe5 square pyramid. The corner-sharing octahedra tilt angles range from 2–4°. In the ninth O2- site, O2- is bonded to six Fe+2.06+ atoms to form OFe6 octahedra that share corners with four OFe6 octahedra, corners with two OFe5 square pyramids, edges with eleven OFe6 octahedra, and an edgeedge with one OFe5 square pyramid. The corner-sharing octahedra tilt angles range from 1–4°. In the tenth O2- site, O2- is bonded to six Fe+2.06+ atoms to form OFe6 octahedra that share corners with five OFe6 octahedra, a cornercorner with one OFe5 square pyramid, edges with eleven OFe6 octahedra, and an edgeedge with one OFe5 square pyramid.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Ta36B4C35 by Materials Project

Ta26C25Ta9C8TaBC(B)2BC1 crystallizes in the triclinic P1 space group. The structure is two-dimensional and consists of two boron molecules; one BC1 sheet oriented in the (0, 0, 1) direction; one Ta26C25 sheet oriented in the (0, 0, 1) direction; one Ta9C8 sheet oriented in the (0, 0, 1) direction; and one TaBC sheet oriented in the (0, 0, 1) direction. In the BC1 sheet, B3+ is bonded in a trigonal planar geometry to three equivalent C4- atoms. All B–C bond lengths are 1.83 Å. C4- is bonded in a distorted trigonal planar geometry to three equivalent B3+ atoms. In the Ta26C25 sheet, there are eighteen inequivalent Ta+3.56+ sites. In the first Ta+3.56+ site, Ta+3.56+ is bonded in a 3-coordinate geometry to three equivalent C4- atoms. There are one shorter (2.14 Å) and two longer (2.15 Å) Ta–C bond lengths. In the second Ta+3.56+ site, Ta+3.56+ is bonded to six C4- atoms to form a mixture of corner and edge-sharing TaC6 octahedra. The corner-sharing octahedral tilt angles are 1°. All Ta–C bond lengths are 2.23 Å. In the third Ta+3.56+ site, Ta+3.56+ is bonded to six C4- atoms to form a mixture of corner and edge-sharing TaC6 octahedra. The corner-sharing octahedral tilt angles are 1°. There are five shorter (2.25 Å) and one longer (2.26 Å) Ta–C bond lengths. In the fourth Ta+3.56+ site, Ta+3.56+ is bonded to six C4- atoms to form a mixture of corner and edge-sharing TaC6 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. All Ta–C bond lengths are 2.25 Å. In the fifth Ta+3.56+ site, Ta+3.56+ is bonded to six C4- atoms to form a mixture of corner and edge-sharing TaC6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are three shorter (2.24 Å) and three longer (2.26 Å) Ta–C bond lengths. In the sixth Ta+3.56+ site, Ta+3.56+ is bonded to six C4- atoms to form a mixture of corner and edge-sharing TaC6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are three shorter (2.24 Å) and three longer (2.25 Å) Ta–C bond lengths. In the seventh Ta+3.56+ site, Ta+3.56+ is bonded to six C4- atoms to form a mixture of corner and edge-sharing TaC6 octahedra. The corner-sharing octahedral tilt angles are 0°. All Ta–C bond lengths are 2.24 Å. In the eighth Ta+3.56+ site, Ta+3.56+ is bonded to six C4- atoms to form a mixture of corner and edge-sharing TaC6 octahedra. The corner-sharing octahedral tilt angles are 0°. All Ta–C bond lengths are 2.24 Å. In the ninth Ta+3.56+ site, Ta+3.56+ is bonded to six C4- atoms to form a mixture of corner and edge-sharing TaC6 octahedra. The corner-sharing octahedral tilt angles are 0°. All Ta–C bond lengths are 2.24 Å. In the tenth Ta+3.56+ site, Ta+3.56+ is bonded to six equivalent C4- atoms to form a mixture of corner and edge-sharing TaC6 octahedra. The corner-sharing octahedral tilt angles are 0°. All Ta–C bond lengths are 2.24 Å. In the eleventh Ta+3.56+ site, Ta+3.56+ is bonded to six equivalent C4- atoms to form a mixture of corner and edge-sharing TaC6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are three shorter (2.23 Å) and three longer (2.24 Å) Ta–C bond lengths. In the twelfth Ta+3.56+ site, Ta+3.56+ is bonded to six equivalent C4- atoms to form a mixture of corner and edge-sharing TaC6 octahedra. The corner-sharing octahedral tilt angles are 0°. All Ta–C bond lengths are 2.23 Å. In the thirteenth Ta+3.56+ site, Ta+3.56+ is bonded to six C4- atoms to form a mixture of corner and edge-sharing TaC6 octahedra. The corner-sharing octahedral tilt angles are 0°. All Ta–C bond lengths are 2.23 Å. In the fourteenth Ta+3.56+ site, Ta+3.56+ is bonded to six C4- atoms to form a mixture of corner and edge-sharing TaC6 octahedra. The corner-sharing octahedral tilt angles are 0°. All Ta–C bond lengths are 2.23 Å. In the fifteenth Ta+3.56+ site, Ta+3.56+ is bonded to six C4- atoms to form a mixture of corner and edge-sharing TaC6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are three shorter (2.23 Å) and three longer (2.24 Å) Ta–C bond lengths. In the sixteenth Ta+3.56+ site, Ta+3.56+ is bonded to six C4- atoms to form a mixture of corner and edge-sharing TaC6 octahedra. The corner-sharing octahedral tilt angles are 0°. All Ta–C bond lengths are 2.23 Å. In the seventeenth Ta+3.56+ site, Ta+3.56+ is bonded to six C4- atoms to form a mixture of corner and edge-sharing TaC6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are four shorter (2.23 Å) and two longer (2.24 Å) Ta–C bond lengths. In the eighteenth Ta+3.56+ site, Ta+3.56+ is bonded in a distorted T-shaped geometry to three equivalent C4- atoms. All Ta–C bond lengths are 2.25 Å. There are fifteen inequivalent C4- sites. In the first C4- site, C4- is bonded to six Ta+3.56+ atoms to form a mixture of corner and edge-sharing CTa6 octahedra. The corner-sharing octahedral tilt angles are 0°. In the second C4- site, C4- is bonded to six Ta+3.56+ atoms to form a mixture of corner and edge-sharing CTa6 octahedra. The corner-sharing octahedral tilt angles are 0°. In the third C4- site, C4- is bonded to six Ta+3.56+ atoms to form a mixture of corner and edge-sharing CTa6 octahedra. The corner-sharing octahedral tilt angles are 0°. In the fourth C4- site, C4- is bonded to six Ta+3.56+ atoms to form a mixture of corner and edge-sharing CTa6 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. In the fifth C4- site, C4- is bonded to six Ta+3.56+ atoms to form a mixture of corner and edge-sharing CTa6 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. In the sixth C4- site, C4- is bonded to six Ta+3.56+ atoms to form a mixture of corner and edge-sharing CTa6 octahedra. The corner-sharing octahedral tilt angles are 0°. In the seventh C4- site, C4- is bonded to six Ta+3.56+ atoms to form a mixture of corner and edge-sharing CTa6 octahedra. The corner-sharing octahedral tilt angles are 0°. In the eighth C4- site, C4- is bonded to six Ta+3.56+ atoms to form a mixture of corner and edge-sharing CTa6 octahedra. The corner-sharing octahedral tilt angles are 0°. In the ninth C4- site, C4- is bonded to six Ta+3.56+ atoms to form a mixture of corner and edge-sharing CTa6 octahedra. The corner-sharing octahedral tilt angles are 0°. In the tenth C4- site, C4- is bonded to six equivalent Ta+3.56+ atoms to form a mixture of corner and edge-sharing CTa6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are three shorter (2.23 Å) and three longer (2.24 Å) C–Ta bond lengths. In the eleventh C4- site, C4- is bonded to six Ta+3.56+ atoms to form a mixture of corner and edge-sharing CTa6 octahedra. The corner-sharing octahedral tilt angles are 0°. In the twelfth C4- site, C4- is bonded to six Ta+3.56+ atoms to form a mixture of corner and edge-sharing CTa6 octahedra. The corner-sharing octahedral tilt angles are 0°. In the thirteenth C4- site, C4- is bonded to six Ta+3.56+ atoms to form a mixture of corner and edge-sharing CTa6 octahedra. The corner-sharing octahedral tilt angles are 0°. In the fourteenth C4- site, C4- is bonded to six Ta+3.56+ atoms to form a mixture of corner and edge-sharing CTa6 octahedra. The corner-sharing octahedral tilt angles are 0°. In the fifteenth C4- site, C4- is bonded to six Ta+3.56+ atoms to form a mixture of corner and edge-sharing CTa6 octahedra. The corner-sharing octahedral tilt angles are 0°. All C–Ta bond lengths are 2.25 Å. In the Ta9C8 sheet, there are nine inequivalent Ta+3.56+ sites. In the first Ta+3.56+ site, Ta+3.56+ is bonded to six C4- atoms to form a mixture of corner and edge-sharing TaC6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are five shorter (2.24 Å) and one longer (2.25 Å) Ta–C bond lengths. In the second Ta+3.56+ site, Ta+3.56+ is bonded to six C4- atoms to form a mixture of corner and edge-sharing TaC6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are a spread of Ta–C bond distances ranging from 2.23–2.26 Å. In the third Ta+3.56+ site, Ta+3.56+ is bonded in a distorted T-shaped geometry to three equivalent C4- atoms. All Ta–C bond lengths are 2.26 Å. In the fourth Ta+3.56+ site, Ta+3.56+ is bonded to six C4- atoms to form a mixture of corner and edge-sharing TaC6 octahedra. The corner-sharing octahedral tilt angles are 0°. In the fifth Ta+3.56+ site, Ta+3.56+ is bonded in a distorted T-shaped geometry to three equivalent C4- atoms. In the sixth Ta+3.56+ site, Ta+3.56+ is bonded to six C4- atoms to form a mixture of corner and edge-sharing TaC6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are three shorter (2.23 Å) and three longer (2.24 Å) Ta–C bond lengths. In the seventh Ta+3.56+ site, Ta+3.56+ is bonded to six C4- atoms to form a mixture of corner and edge-sharing TaC6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are two shorter (2.23 Å) and four longer (2.24 Å) Ta–C bond lengths. In the eighth Ta+3.56+ site, Ta+3.56+ is bonded to six C4- atoms to form a mixture of corner and edge-sharing TaC6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are four shorter (2.24 Å) and two longer (2.25 Å) Ta–C bond lengths. In the ninth Ta+3.56+ site, Ta+3.56+ is bonded to six C4- atoms to form a mixture of corner and edge-sharing TaC6 octahedra. The corner-sharing octahedral tilt angles are 0°. All Ta–C bond lengths are 2.24 Å. There are eight inequivalent C4- sites. In the first C4- site, C4- is bonded to six Ta+3.56+ atoms to form a mixture of corner and edge-sharing CTa6 octahedra. The corner-sharing octahedral tilt angles are 0°. In the second C4- site, C4- is bonded to six Ta+3.56+ atoms to form a mixture of corner and edge-sharing CTa6 octahedra. The corner-sharing octahedral tilt angles are 0°. In the third C4- site, C4- is bonded to six Ta+3.56+ atoms to form a mixture of corner and edge-sharing CTa6 octahedra. The corner-sharing octahedral tilt angles are 0°. All C–Ta bond lengths are 2.24 Å. In the fourth C4- site, C4- is bonded to six Ta+3.56+ atoms to form a mixture of corner and edge-sharing CTa6 octahedra. The corner-sharing octahedral tilt angles are 0°. All C–Ta bond lengths are 2.24 Å. In the fifth C4- site, C4- is bonded to six Ta+3.56+ atoms to form a mixture of corner and edge-sharing CTa6 octahedra. The corner-sharing octahedral tilt angles are 0°. In the sixth C4- site, C4- is bonded to six Ta+3.56+ atoms to form a mixture of corner and edge-sharing CTa6 octahedra. The corner-sharing octahedral tilt angles are 0°. In the seventh C4- site, C4- is bonded to six Ta+3.56+ atoms to form a mixture of corner and edge-sharing CTa6 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. In the eighth C4- site, C4- is bonded to six Ta+3.56+ atoms to form a mixture of corner and edge-sharing CTa6 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. In the TaBC sheet, Ta+3.56+ is bonded in a single-bond geometry to one C4- atom. The Ta–C bond length is 2.08 Å. B3+ is bonded in a trigonal planar geometry to three equivalent C4- atoms. There are a spread of B–C bond distances ranging from 1.81–1.85 Å. C4- is bonded to one Ta+3.56+ and three equivalent B3+ atoms to form corner-sharing CTaB3 trigonal pyramids.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Li11Nb4(Ni3O8)3 by Materials Project

Li11Nb4(Ni3O8)3 is Caswellsilverite-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eleven inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two NiO6 octahedra, corners with four LiO6 octahedra, edges with three NbO6 octahedra, edges with four LiO6 octahedra, and edges with five NiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–8°. There are a spread of Li–O bond distances ranging from 2.08–2.23 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with two NbO6 octahedra, corners with three NiO6 octahedra, edges with two NbO6 octahedra, edges with five LiO6 octahedra, and edges with five NiO6 octahedra. The corner-sharing octahedra tilt angles range from 1–8°. There are a spread of Li–O bond distances ranging from 2.06–2.34 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two NbO6 octahedra, corners with four LiO6 octahedra, edges with two NbO6 octahedra, edges with three LiO6 octahedra, and edges with seven NiO6 octahedra. The corner-sharing octahedra tilt angles range from 1–10°. There are a spread of Li–O bond distances ranging from 2.08–2.33 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two NiO6 octahedra, corners with four LiO6 octahedra, edges with three NbO6 octahedra, edges with four LiO6 octahedra, and edges with five NiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–9°. There are a spread of Li–O bond distances ranging from 2.09–2.28 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two NbO6 octahedra, corners with four NiO6 octahedra, edges with two equivalent NbO6 octahedra, edges with five LiO6 octahedra, and edges with five NiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–8°. There are a spread of Li–O bond distances ranging from 2.10–2.21 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two NiO6 octahedra, corners with four LiO6 octahedra, edges with two LiO6 octahedra, edges with three NbO6 octahedra, and edges with seven NiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–10°. 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 NiO6 octahedra, corners with four LiO6 octahedra, edges with three NbO6 octahedra, edges with four LiO6 octahedra, and edges with five NiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–9°. There are a spread of Li–O bond distances ranging from 2.08–2.28 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with two NbO6 octahedra, corners with three NiO6 octahedra, edges with two NbO6 octahedra, edges with five LiO6 octahedra, and edges with five NiO6 octahedra. The corner-sharing octahedra tilt angles range from 0–8°. There are a spread of Li–O bond distances ranging from 2.06–2.34 Å. In the ninth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two NbO6 octahedra, corners with four LiO6 octahedra, edges with two NbO6 octahedra, edges with three LiO6 octahedra, and edges with seven NiO6 octahedra. The corner-sharing octahedra tilt angles range from 1–9°. There are a spread of Li–O bond distances ranging from 2.08–2.32 Å. In the tenth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two NbO6 octahedra, corners with four NiO6 octahedra, edges with two equivalent NbO6 octahedra, edges with four NiO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–7°. There are a spread of Li–O bond distances ranging from 2.10–2.21 Å. In the eleventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with four NiO6 octahedra, edges with three NbO6 octahedra, edges with four NiO6 octahedra, and edges with five LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–8°. There are a spread of Li–O bond distances ranging from 2.06–2.20 Å. There are four inequivalent Nb5+ sites. In the first Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with two NiO6 octahedra, corners with four LiO6 octahedra, edges with five NiO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 1–5°. There are a spread of Nb–O bond distances ranging from 2.00–2.04 Å. In the second Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with two NiO6 octahedra, corners with four LiO6 octahedra, edges with six LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. There are a spread of Nb–O bond distances ranging from 2.02–2.04 Å. In the third Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with two LiO6 octahedra, corners with four NiO6 octahedra, edges with six LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–10°. There are a spread of Nb–O bond distances ranging from 2.02–2.06 Å. In the fourth Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with two LiO6 octahedra, corners with four NiO6 octahedra, edges with four NiO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 1–2°. There are a spread of Nb–O bond distances ranging from 2.01–2.04 Å. There are nine inequivalent Ni+1.89+ sites. In the first Ni+1.89+ site, Ni+1.89+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with two LiO6 octahedra, corners with two NbO6 octahedra, corners with two NiO6 octahedra, edges with two equivalent NbO6 octahedra, edges with two equivalent NiO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–8°. There are a spread of Ni–O bond distances ranging from 2.10–2.14 Å. In the second Ni+1.89+ site, Ni+1.89+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with two LiO6 octahedra, corners with two NbO6 octahedra, corners with two NiO6 octahedra, edges with two NbO6 octahedra, edges with three NiO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–10°. There are a spread of Ni–O bond distances ranging from 2.10–2.12 Å. In the third Ni+1.89+ site, Ni+1.89+ is bonded to six O2- atoms to form NiO6 octahedra that share a cornercorner with one NiO6 octahedra, corners with two NbO6 octahedra, corners with three LiO6 octahedra, edges with two NbO6 octahedra, edges with four NiO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–8°. There are a spread of Ni–O bond distances ranging from 2.04–2.14 Å. In the fourth Ni+1.89+ site, Ni+1.89+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with two LiO6 octahedra, corners with four NiO6 octahedra, edges with three NbO6 octahedra, edges with four NiO6 octahedra, and edges with five LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–7°. There are a spread of Ni–O bond distances ranging from 2.09–2.36 Å. In the fifth Ni+1.89+ site, Ni+1.89+ is bonded to six O2- atoms to form NiO6 octahedra that share a cornercorner with one NiO6 octahedra, corners with five LiO6 octahedra, edges with three NbO6 octahedra, edges with three NiO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–8°. There are a spread of Ni–O bond distances ranging from 2.06–2.15 Å. In the sixth Ni+1.89+ site, Ni+1.89+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with two LiO6 octahedra, corners with two NbO6 octahedra, corners with two NiO6 octahedra, edges with two equivalent NbO6 octahedra, edges with two equivalent NiO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–9°. There are a spread of Ni–O bond distances ranging from 2.08–2.14 Å. In the seventh Ni+1.89+ site, Ni+1.89+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with two LiO6 octahedra, corners with two NbO6 octahedra, corners with two NiO6 octahedra, edges with two NbO6 octahedra, edges with three NiO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–9°. There are a spread of Ni–O bond distances ranging from 2.10–2.12 Å. In the eighth Ni+1.89+ site, Ni+1.89+ is bonded to six O2- atoms to form NiO6 octahedra that share a cornercorner with one NiO6 octahedra, corners with two NbO6 octahedra, corners with three LiO6 octahedra, edges with two NbO6 octahedra, edges with four NiO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–8°. There are a spread of Ni–O bond distances ranging from 2.05–2.14 Å. In the ninth Ni+1.89+ site, Ni+1.89+ is bonded to six O2- atoms to form NiO6 octahedra that share a cornercorner with one NiO6 octahedra, corners with five LiO6 octahedra, edges with three NbO6 octahedra, edges with three NiO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–8°. There are a spread of Ni–O bond distances ranging from 2.06–2.15 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded to three Li1+, one Nb5+, and two Ni+1.89+ atoms to form OLi3NbNi2 octahedra that share corners with six OLi2NbNi3 octahedra and edges with twelve OLi3NbNi2 octahedra. The corner-sharing octahedra tilt angles range from 1–7°. In the second O2- site, O2- is bonded to three Li1+, one Nb5+, and two Ni+1.89+ atoms to form OLi3NbNi2 octahedra that share corners with six OLi3NbNi2 octahedra and edges with twelve OLi2NbNi3 octahedra. The corner-sharing octahedra tilt angles range from 1–6°. In the third O2- site, O2- is bonded to three Li1+, one Nb5+, and two Ni+1.89+ atoms to form a mixture of edge and corner-sharing OLi3NbNi2 octahedra. The corner-sharing octahedra tilt angles range from 2–8°. In the fourth O2- site, O2- is bonded to three Li1+, one Nb5+, and two Ni+1.89+ atoms to form a mixture of edge and corner-sharing OLi3NbNi2 octahedra. The corner-sharing octahedra tilt angles range from 3–6°. In the fifth O2- site, O2- is bonded to three Li1+, one Nb5+, and two Ni+1.89+ atoms to form a mixture of edge and corner-sharing OLi3NbNi2 octahedra. The corner-sharing octahedra tilt angles range from 1–8°. In the sixth O2- site, O2- is bonded to two Li1+, one Nb5+, and three Ni+1.89+ atoms to form OLi2NbNi3 octahedra that share corners with six OLi3NbNi2 octahedra and edges with twelve OLi2NbNi3 octahedra. The corner-sharing octahedra tilt angles range from 1–8°. In the seventh O2- site, O2- is bonded to three Li1+, one Nb5+, and two Ni+1.89+ atoms to form OLi3NbNi2 octahedra that share corners with six OLi3NbNi2 octahedra and edges with twelve OLi2NbNi3 octahedra. The corner-sharing octahedra tilt angles range from 1–7°. In the eighth O2- site, O2- is bonded to two Li1+, one Nb5+, and three Ni+1.89+ atoms to form a mixture of edge and corner-sharing OLi2NbNi3 octahedra. The corner-sharing octahedra tilt angles range from 2–6°. In the ninth O2- site, O2- is bonded to three Li1+, one Nb5+, and two Ni+1.89+ atoms to form a mixture of edge and corner-sharing OLi3NbNi2 octahedra. The corner-sharing octahedra tilt angles range from 3–7°. In the tenth O2- site, O2- is bonded to three Li1+, one N

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Li15Zr7(Cu3O14)2 by Materials Project

Li15Zr7(Cu3O14)2 is Caswellsilverite-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are fifteen inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two CuO6 octahedra, corners with four LiO6 octahedra, edges with three CuO6 octahedra, edges with four ZrO6 octahedra, and edges with five LiO6 octahedra. The corner-sharing octahedra tilt angles range from 0–13°. There are a spread of Li–O bond distances ranging from 2.03–2.37 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two CuO6 octahedra, corners with four LiO6 octahedra, edges with four LiO6 octahedra, edges with four ZrO6 octahedra, and edges with four CuO6 octahedra. The corner-sharing octahedra tilt angles range from 1–10°. There are a spread of Li–O bond distances ranging from 2.08–2.34 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two ZrO6 octahedra, corners with four LiO6 octahedra, edges with three CuO6 octahedra, edges with four ZrO6 octahedra, and edges with five LiO6 octahedra. The corner-sharing octahedra tilt angles range from 0–10°. There are a spread of Li–O bond distances ranging from 2.10–2.64 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two ZrO6 octahedra, corners with four LiO6 octahedra, edges with four LiO6 octahedra, edges with four ZrO6 octahedra, and edges with four CuO6 octahedra. The corner-sharing octahedra tilt angles range from 0–9°. There are a spread of Li–O bond distances ranging from 2.11–2.53 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with two ZrO6 octahedra, corners with four LiO6 octahedra, edges with three CuO6 octahedra, edges with four ZrO6 octahedra, and edges with five LiO6 octahedra. The corner-sharing octahedra tilt angles range from 1–9°. There are a spread of Li–O bond distances ranging from 2.07–2.70 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two CuO6 octahedra, corners with four LiO6 octahedra, edges with four LiO6 octahedra, edges with four ZrO6 octahedra, and edges with four CuO6 octahedra. The corner-sharing octahedra tilt angles range from 1–10°. There are a spread of Li–O bond distances ranging from 2.05–2.50 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one CuO6 octahedra, corners with five LiO6 octahedra, edges with three CuO6 octahedra, edges with four ZrO6 octahedra, and edges with five LiO6 octahedra. The corner-sharing octahedra tilt angles range from 1–11°. There are a spread of Li–O bond distances ranging from 2.07–2.38 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two ZrO6 octahedra, corners with four LiO6 octahedra, edges with four LiO6 octahedra, edges with four ZrO6 octahedra, and edges with four CuO6 octahedra. The corner-sharing octahedra tilt angles range from 2–10°. There are a spread of Li–O bond distances ranging from 2.10–2.42 Å. In the ninth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two ZrO6 octahedra, corners with four LiO6 octahedra, edges with four LiO6 octahedra, edges with four ZrO6 octahedra, and edges with four CuO6 octahedra. The corner-sharing octahedra tilt angles range from 1–9°. There are a spread of Li–O bond distances ranging from 2.09–2.58 Å. In the tenth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two CuO6 octahedra, corners with four LiO6 octahedra, edges with four LiO6 octahedra, edges with four ZrO6 octahedra, and edges with four CuO6 octahedra. The corner-sharing octahedra tilt angles range from 1–12°. There are a spread of Li–O bond distances ranging from 2.07–2.32 Å. In the eleventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two ZrO6 octahedra, corners with four LiO6 octahedra, edges with four LiO6 octahedra, edges with four ZrO6 octahedra, and edges with four CuO6 octahedra. The corner-sharing octahedra tilt angles range from 3–9°. There are a spread of Li–O bond distances ranging from 2.09–2.49 Å. In the twelfth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with four CuO6 octahedra, edges with four ZrO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 0–8°. There are a spread of Li–O bond distances ranging from 2.11–2.34 Å. In the thirteenth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one CuO6 octahedra, corners with five LiO6 octahedra, edges with three CuO6 octahedra, edges with four ZrO6 octahedra, and edges with five LiO6 octahedra. The corner-sharing octahedra tilt angles range from 0–13°. There are a spread of Li–O bond distances ranging from 2.08–2.39 Å. In the fourteenth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two CuO6 octahedra, corners with four LiO6 octahedra, edges with three CuO6 octahedra, edges with four ZrO6 octahedra, and edges with five LiO6 octahedra. The corner-sharing octahedra tilt angles range from 0–11°. There are a spread of Li–O bond distances ranging from 2.09–2.41 Å. In the fifteenth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two ZrO6 octahedra, corners with four LiO6 octahedra, edges with two CuO6 octahedra, edges with four ZrO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–8°. There are a spread of Li–O bond distances ranging from 2.11–2.43 Å. There are seven inequivalent Zr4+ sites. In the first Zr4+ site, Zr4+ is bonded to six O2- atoms to form ZrO6 octahedra that share corners with two LiO6 octahedra, corners with four ZrO6 octahedra, edges with two CuO6 octahedra, and edges with ten LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–10°. There are a spread of Zr–O bond distances ranging from 2.09–2.17 Å. In the second Zr4+ site, Zr4+ is bonded to six O2- atoms to form ZrO6 octahedra that share corners with two LiO6 octahedra, corners with four ZrO6 octahedra, edges with four CuO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–10°. There are a spread of Zr–O bond distances ranging from 2.07–2.17 Å. In the third Zr4+ site, Zr4+ is bonded to six O2- atoms to form ZrO6 octahedra that share corners with two LiO6 octahedra, corners with four ZrO6 octahedra, edges with four CuO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 1–8°. There are a spread of Zr–O bond distances ranging from 2.08–2.15 Å. In the fourth Zr4+ site, Zr4+ is bonded to six O2- atoms to form ZrO6 octahedra that share corners with two LiO6 octahedra, corners with four ZrO6 octahedra, edges with three CuO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 1–9°. There are a spread of Zr–O bond distances ranging from 2.09–2.15 Å. In the fifth Zr4+ site, Zr4+ is bonded to six O2- atoms to form ZrO6 octahedra that share corners with two LiO6 octahedra, corners with four ZrO6 octahedra, edges with four CuO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–10°. There are a spread of Zr–O bond distances ranging from 2.09–2.16 Å. In the sixth Zr4+ site, Zr4+ is bonded to six O2- atoms to form ZrO6 octahedra that share corners with two LiO6 octahedra, corners with four ZrO6 octahedra, edges with three CuO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 0–8°. There are a spread of Zr–O bond distances ranging from 2.09–2.15 Å. In the seventh Zr4+ site, Zr4+ is bonded to six O2- atoms to form ZrO6 octahedra that share corners with two LiO6 octahedra, corners with four ZrO6 octahedra, edges with four CuO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 0–10°. There are a spread of Zr–O bond distances ranging from 2.11–2.14 Å. There are six inequivalent Cu+2.17+ sites. In the first Cu+2.17+ site, Cu+2.17+ is bonded to six O2- atoms to form CuO6 octahedra that share corners with three LiO6 octahedra, corners with three CuO6 octahedra, edges with four ZrO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 0–10°. There are a spread of Cu–O bond distances ranging from 1.93–2.44 Å. In the second Cu+2.17+ site, Cu+2.17+ is bonded to six O2- atoms to form CuO6 octahedra that share corners with two LiO6 octahedra, corners with four CuO6 octahedra, edges with four ZrO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 1–9°. There are a spread of Cu–O bond distances ranging from 2.03–2.32 Å. In the third Cu+2.17+ site, Cu+2.17+ is bonded to six O2- atoms to form CuO6 octahedra that share corners with three LiO6 octahedra, corners with three CuO6 octahedra, edges with four ZrO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 1–8°. There are a spread of Cu–O bond distances ranging from 1.99–2.33 Å. In the fourth Cu+2.17+ site, Cu+2.17+ is bonded to six O2- atoms to form CuO6 octahedra that share corners with three LiO6 octahedra, corners with three CuO6 octahedra, edges with four ZrO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 1–9°. There are a spread of Cu–O bond distances ranging from 2.04–2.33 Å. In the fifth Cu+2.17+ site, Cu+2.17+ is bonded to six O2- atoms to form CuO6 octahedra that share corners with two LiO6 octahedra, corners with four CuO6 octahedra, edges with four ZrO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 1–9°. There are a spread of Cu–O bond distances ranging from 1.98–2.40 Å. In the sixth Cu+2.17+ site, Cu+2.17+ is bonded to six O2- atoms to form CuO6 octahedra that share corners with three LiO6 octahedra, corners with three CuO6 octahedra, edges with four ZrO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 0–10°. There are a spread of Cu–O bond distances ranging from 1.94–2.32 Å. There are twenty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded to four Li1+, one Zr4+, and one Cu+2.17+ atom to form OLi4ZrCu octahedra that share corners with six OLi3ZrCu2 octahedra and edges with twelve OLi4Zr2 octahedra. The corner-sharing octahedra tilt angles range from 6–12°. In the second O2- site, O2- is bonded to three Li1+, two Zr4+, and one Cu+2.17+ atom to form a mixture of edge and corner-sharing OLi3Zr2Cu octahedra. The corner-sharing octahedra tilt angles range from 0–6°. In the third O2- site, O2- is bonded to three Li1+, one Zr4+, and two Cu+2.17+ atoms to form OLi3ZrCu2 octahedra that share corners with six OLi3ZrCu2 octahedra and edges with twelve OLi3Zr2Cu octahedra. The corner-sharing octahedra tilt angles range from 3–11°. In the fourth O2- site, O2- is bonded to three Li1+, one Zr4+, and two Cu+2.17+ atoms to form OLi3ZrCu2 octahedra that share corners with six OLi3ZrCu2 octahedra and edges with twelve OLi3Zr2Cu octahedra. The corner-sharing octahedra tilt angles range from 1–10°. In the fifth O2- site, O2- is bonded to three Li1+, two Zr4+, and one Cu+2.17+ atom to form a mixture of edge and corner-sharing OLi3Zr2Cu octahedra. The corner-sharing octahedra tilt angles range from 2–6°. In the sixth O2- site, O2- is bonded to four Li1+ and two Zr

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on HfMg30BO31 by Materials Project

Mg30HfO31B crystallizes in the orthorhombic Pmm2 space group. The structure is three-dimensional and consists of one boron molecule and one Mg30HfO31 framework. In the Mg30HfO31 framework, there are sixteen inequivalent Mg sites. In the first Mg site, Mg is bonded to five O atoms to form MgO5 square pyramids that share corners with two equivalent HfO6 octahedra, corners with five 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 2.02–2.15 Å. In the second 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 HfO6 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 2.01–2.19 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 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, corners with five 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 2.12–2.16 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 2.13–2.15 Å. In the sixth 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 HfO6 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 two shorter (2.11 Å) and four 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 HfO6 octahedra, edges with seven MgO6 octahedra, and edges with three MgO5 square pyramids. The corner-sharing octahedra tilt angles range from 3–13°. There are a spread of Mg–O bond distances ranging from 2.07–2.24 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 1–4°. There are a spread of Mg–O bond distances ranging from 2.13–2.17 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, corners with five MgO5 square pyramids, 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 2.11–2.17 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, an edgeedge with one HfO6 octahedra, edges with nine MgO6 octahedra, and edges with two equivalent MgO5 square pyramids. The corner-sharing octahedra tilt angles range from 1–5°. There are a spread of Mg–O bond distances ranging from 2.09–2.20 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, 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 2.12–2.17 Å. In the twelfth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, an edgeedge with one HfO6 octahedra, and edges with eleven MgO6 octahedra. 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 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, edges with nine MgO6 octahedra, and edges with two equivalent MgO5 square pyramids. The corner-sharing octahedra tilt angles range from 1–9°. There are a spread of Mg–O bond distances ranging from 2.13–2.18 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, corners with five MgO5 square pyramids, an edgeedge with one HfO6 octahedra, and edges with seven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 1–3°. There are a spread of Mg–O bond distances ranging from 2.13–2.19 Å. In the fifteenth 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 1–9°. There are a spread of Mg–O bond distances ranging from 2.12–2.18 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, an edgeedge with one HfO6 octahedra, edges with nine MgO6 octahedra, and edges with two MgO5 square pyramids. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Mg–O bond distances ranging from 2.11–2.19 Å. Hf is bonded to six O atoms to form HfO6 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 Hf–O bond distances ranging from 2.10–2.19 Å. There are seventeen inequivalent O sites. In the first O site, O is bonded to five Mg atoms to form distorted OMg5 square pyramids that share corners with two equivalent OMg6 octahedra, corners with five OMg5 square pyramids, and edges with eight OMg6 octahedra. The corner-sharing octahedral tilt angles are 4°. In the second O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with four OHfMg5 octahedra, corners with two equivalent OMg5 square pyramids, edges with ten OMg6 octahedra, and edges with two equivalent OMg5 square pyramids. The corner-sharing octahedra tilt angles range from 0–2°. In the third O site, O is bonded to five Mg and one Hf atom to form a mixture of edge and corner-sharing OHfMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. In the fourth O site, O is bonded to five Mg atoms to form distorted OMg5 square pyramids that share corners with four OMg6 octahedra, corners with five OMg5 square pyramids, and edges with eight OMg6 octahedra. The corner-sharing octahedra tilt angles range from 4–5°. In the fifth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with two equivalent OHfMg5 octahedra, corners with two equivalent OMg5 square pyramids, edges with ten OMg6 octahedra, and edges with two equivalent OMg5 square pyramids. The corner-sharing octahedral tilt angles are 0°. 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 OMg5 square pyramids, edges with ten OMg6 octahedra, and edges with two equivalent OMg5 square pyramids. The corner-sharing octahedra tilt angles range from 0–2°. In the seventh 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 twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. 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 OMg5 square pyramids. The corner-sharing octahedra tilt angles range from 2–6°. 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 OMg6 octahedra, and edges with three OMg5 square pyramids. The corner-sharing octahedra tilt angles range from 2–6°. In the tenth O site, O is bonded to five Mg atoms to form distorted OMg5 square pyramids that share corners with four OHfMg5 octahedra, corners with five OMg5 square pyramids, and edges with seven OHfMg5 octahedra. The corner-sharing octahedra tilt angles range from 5–8°. In the eleventh 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 OMg5 square pyramids, edges with ten OMg6 octahedra, and edges with two equivalent OMg5 square pyramids. The corner-sharing octahedra tilt angles range from 0–4°. 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 OMg5 square pyramids, edges with nine OMg6 octahedra, and edges with two OMg5 square pyramids. The corner-sharing octahedra tilt angles range from 0–1°. In the thirteenth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OHfMg5 octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the fourteenth O site, O is bonded to five Mg atoms to form distorted OMg5 square pyramids that share corners with four OHfMg5 octahedra, corners with five OMg5 square pyramids, and edges with eight OMg6 octahedra. The corner-sharing octahedra tilt angles range from 6–8°. 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 OMg5 square pyramids, edges with nine OHfMg5 octahedra, and edges with two equivalent OMg5 square pyramids. The corner-sharing octahedra tilt angles range from 0–2°. 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 OMg5 square pyramids, edges with ten OMg6 octahedra, and edges with two OMg5 square pyramids. The corner-sharing octahedra tilt angles range from 0–2°. In the seventeenth 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°.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on CsLiMg30O31 by Materials Project

CsLiMg30O31 crystallizes in the orthorhombic Pmm2 space group. The structure is three-dimensional. Cs1+ is bonded to six O2- atoms to form distorted CsO6 octahedra that share corners with four MgO6 octahedra, corners with two equivalent MgO5 square pyramids, corners with two equivalent MgO5 trigonal bipyramids, edges with eight MgO6 octahedra, and edges with two equivalent MgO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 0–11°. There are a spread of Cs–O bond distances ranging from 2.44–2.62 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 0–3°. There are a spread of Li–O bond distances ranging from 2.12–2.40 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 CsO6 octahedra, corners with two equivalent LiO6 octahedra, corners with five MgO5 square pyramids, corners with two equivalent MgO5 trigonal bipyramids, and edges with six MgO6 octahedra. The corner-sharing octahedra tilt angles range from 7–32°. There are a spread of Mg–O bond distances ranging from 1.88–2.19 Å. In the second Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with two equivalent CsO6 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 0–11°. There are a spread of Mg–O bond distances ranging from 1.90–2.32 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 2.09–2.24 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 two equivalent MgO5 square pyramids, corners with three MgO5 trigonal bipyramids, edges with six MgO6 octahedra, and edges with two equivalent MgO5 square pyramids. The corner-sharing octahedral tilt angles are 7°. There are a spread of Mg–O bond distances ranging from 2.00–2.14 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 CsO6 octahedra, corners with two equivalent MgO6 octahedra, corners with two equivalent MgO5 square pyramids, edges with eight MgO6 octahedra, edges with two equivalent MgO5 square pyramids, 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 1.85–2.25 Å. In the seventh Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, a cornercorner with one MgO5 square pyramid, an edgeedge with one CsO6 octahedra, an edgeedge with one LiO6 octahedra, edges with six MgO6 octahedra, an edgeedge with one MgO5 square pyramid, and edges with two MgO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 2–22°. There are a spread of Mg–O bond distances ranging from 2.09–2.29 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 eight MgO6 octahedra, edges with three MgO5 square pyramids, and an edgeedge with one MgO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 0–7°. There are a spread of Mg–O bond distances ranging from 2.12–2.24 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 7–10°. There are a spread of Mg–O bond distances ranging from 1.97–2.26 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 CsO6 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 2.09–2.28 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 seven MgO6 octahedra, edges with three MgO5 square pyramids, and an edgeedge with one MgO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 5–8°. There are a spread of Mg–O bond distances ranging from 2.13–2.30 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 CsO6 octahedra, edges with nine MgO6 octahedra, and edges with two equivalent MgO5 square pyramids. The corner-sharing octahedra tilt angles range from 1–18°. There are a spread of Mg–O bond distances ranging from 2.12–2.42 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 0–8°. There are a spread of Mg–O bond distances ranging from 2.14–2.26 Å. In the fourteenth Mg2+ site, Mg2+ is bonded to five O2- atoms to form MgO5 trigonal bipyramids that share corners with two equivalent MgO6 octahedra, corners with four MgO5 square pyramids, corners with two MgO5 trigonal bipyramids, an edgeedge with one CsO6 octahedra, and edges with seven MgO6 octahedra. The corner-sharing octahedral tilt angles are 7°. There are a spread of Mg–O bond distances ranging from 1.95–2.21 Å. In the fifteenth 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, and edges with eleven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–8°. There are a spread of Mg–O bond distances ranging from 2.12–2.24 Å. In the sixteenth Mg2+ site, Mg2+ is bonded to five O2- atoms to form distorted MgO5 square pyramids that share a cornercorner with one CsO6 octahedra, corners with four MgO6 octahedra, corners with two equivalent MgO5 square pyramids, corners with two MgO5 trigonal bipyramids, edges with seven MgO6 octahedra, and an edgeedge with one MgO5 square pyramid. The corner-sharing octahedra tilt angles range from 5–97°. There are a spread of Mg–O bond distances ranging from 2.10–2.17 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 0–8°. 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 0–8°. In the third O2- site, O2- is bonded to one Cs1+ and five Mg2+ atoms to form a mixture of distorted edge and corner-sharing OCsMg5 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 0–7°. 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 ten OMg6 octahedra. The corner-sharing octahedra tilt angles range from 2–6°. 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 Cs1+ and five Mg2+ atoms to form a mixture of distorted edge and corner-sharing OCsMg5 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 ten OLiMg5 octahedra. The corner-sharing octahedra tilt angles range from 4–13°. 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 eleven OLiMg5 octahedra. The corner-sharing octahedra tilt angles range from 3–12°. In the tenth O2- site, O2- is bonded to one Li1+ and five Mg2+ atoms to form OLiMg5 octahedra that share corners with six OCsMg5 octahedra and edges with nine OLiMg5 octahedra. The corner-sharing octahedra tilt angles range from 4–13°. In the eleventh O2- site, O2- is bonded to one Cs1+ and five Mg2+ atoms to form distorted OCsMg5 octahedra that share corners with six OCsMg5 octahedra and edges with ten OMg6 octahedra. The corner-sharing octahedra tilt angles range from 4–15°. 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 3–13°. In the thirteenth O2- site, O2- is bonded to six Mg2+ atoms to form OMg6 octahedra that share corners with six OCsMg5 octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 2–5°. In the fourteenth O2- site, O2- is bonded to one Li1+ and five Mg2+ atoms to form OLiMg5 octahedra that share corners with four OMg6 octahedra and edges with twelve OLiMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the fifteenth O2- site, O2- is bonded in a 5-coordinate geometry to one Cs1+ and four Mg2+ atoms. 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 0–2°. In the seventeenth O2- site, O2- is bonded to six Mg2+ atoms to form OMg6 octahedra that share corners with four OMg6 octahedra and edges with eleven OCsMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–15°.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Li19V12O32 by Materials Project

Li19V12O32 crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are fourteen inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two VO6 octahedra, corners with four LiO6 octahedra, edges with five VO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 0–14°. There are a spread of Li–O bond distances ranging from 2.05–2.32 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two VO6 octahedra, corners with four LiO6 octahedra, edges with five VO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–15°. There are a spread of Li–O bond distances ranging from 2.02–2.39 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent VO6 octahedra, corners with four LiO6 octahedra, edges with five LiO6 octahedra, and edges with five VO6 octahedra. The corner-sharing octahedra tilt angles range from 2–21°. There are a spread of Li–O bond distances ranging from 2.01–2.33 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two VO6 octahedra, corners with three LiO6 octahedra, edges with five VO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–15°. There are a spread of Li–O bond distances ranging from 2.01–2.52 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with two VO6 octahedra, corners with three LiO6 octahedra, edges with five VO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–15°. There are a spread of Li–O bond distances ranging from 2.04–2.55 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with two equivalent VO6 octahedra, corners with four LiO6 octahedra, edges with five LiO6 octahedra, and edges with five VO6 octahedra. The corner-sharing octahedra tilt angles range from 2–26°. There are a spread of Li–O bond distances ranging from 2.03–2.57 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two VO6 octahedra, corners with four LiO6 octahedra, edges with five LiO6 octahedra, and edges with six VO6 octahedra. The corner-sharing octahedra tilt angles range from 5–14°. There are a spread of Li–O bond distances ranging from 2.04–2.25 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two VO6 octahedra, corners with four LiO6 octahedra, edges with six LiO6 octahedra, and edges with six VO6 octahedra. The corner-sharing octahedra tilt angles range from 5–15°. There are a spread of Li–O bond distances ranging from 2.04–2.27 Å. In the ninth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent VO6 octahedra, corners with four LiO6 octahedra, edges with five LiO6 octahedra, and edges with six VO6 octahedra. The corner-sharing octahedra tilt angles range from 7–15°. There are a spread of Li–O bond distances ranging from 2.03–2.24 Å. In the tenth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with four VO6 octahedra, edges with four VO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 1–14°. There are a spread of Li–O bond distances ranging from 1.97–2.47 Å. In the eleventh Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 1.99–2.61 Å. In the twelfth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with four VO6 octahedra, edges with four VO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–23°. There are a spread of Li–O bond distances ranging from 1.97–2.50 Å. In the thirteenth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with two VO6 octahedra, edges with four VO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–8°. There are a spread of Li–O bond distances ranging from 1.99–2.27 Å. In the fourteenth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with two equivalent VO6 octahedra, corners with four LiO6 octahedra, edges with four VO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–16°. There are a spread of Li–O bond distances ranging from 2.01–2.36 Å. There are nine inequivalent V+3.75+ sites. In the first V+3.75+ site, V+3.75+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two equivalent VO6 octahedra, corners with three LiO6 octahedra, edges with four VO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–15°. There are a spread of V–O bond distances ranging from 1.93–2.16 Å. In the second V+3.75+ site, V+3.75+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two equivalent VO6 octahedra, corners with three LiO6 octahedra, edges with four VO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–15°. There are a spread of V–O bond distances ranging from 1.86–2.16 Å. In the third V+3.75+ site, V+3.75+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two equivalent VO6 octahedra, corners with four LiO6 octahedra, edges with four VO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–16°. There are a spread of V–O bond distances ranging from 1.98–2.16 Å. In the fourth V+3.75+ site, V+3.75+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two equivalent VO6 octahedra, corners with three LiO6 octahedra, edges with three VO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 0–13°. There are a spread of V–O bond distances ranging from 1.77–2.08 Å. In the fifth V+3.75+ site, V+3.75+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two equivalent VO6 octahedra, corners with three LiO6 octahedra, edges with three VO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 0–14°. There are a spread of V–O bond distances ranging from 1.77–2.09 Å. In the sixth V+3.75+ site, V+3.75+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two equivalent VO6 octahedra, corners with four LiO6 octahedra, edges with three VO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–17°. There are a spread of V–O bond distances ranging from 1.77–2.07 Å. In the seventh V+3.75+ site, V+3.75+ is bonded to six O2- atoms to form distorted VO6 octahedra that share corners with two equivalent VO6 octahedra, corners with three LiO6 octahedra, edges with five VO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 1–18°. There are a spread of V–O bond distances ranging from 1.74–2.23 Å. In the eighth V+3.75+ site, V+3.75+ is bonded to six O2- atoms to form distorted VO6 octahedra that share corners with two equivalent VO6 octahedra, corners with three LiO6 octahedra, edges with five VO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–18°. There are a spread of V–O bond distances ranging from 1.75–2.20 Å. In the ninth V+3.75+ site, V+3.75+ is bonded to six O2- atoms to form distorted VO6 octahedra that share corners with two equivalent VO6 octahedra, corners with four LiO6 octahedra, edges with five VO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–18°. There are a spread of V–O bond distances ranging from 1.75–2.19 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded to three Li1+ and three V+3.75+ atoms to form distorted OLi3V3 octahedra that share corners with five OLi4V2 octahedra, a cornercorner with one OLi4V square pyramid, and edges with twelve OLi4V2 octahedra. The corner-sharing octahedra tilt angles range from 2–15°. In the second O2- site, O2- is bonded to three Li1+ and three V+3.75+ atoms to form distorted OLi3V3 octahedra that share corners with five OLi4V2 octahedra, a cornercorner with one OLi4V square pyramid, edges with eleven OLi4V2 octahedra, and an edgeedge with one OLi2V3 square pyramid. The corner-sharing octahedra tilt angles range from 3–16°. In the third O2- site, O2- is bonded to three Li1+ and three V+3.75+ atoms to form distorted OLi3V3 octahedra that share corners with four OLi3V3 octahedra, corners with two equivalent OLi4V square pyramids, edges with ten OLi4V2 octahedra, an edgeedge with one OLi3V2 square pyramid, and an edgeedge with one OLi3V2 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 2–15°. In the fourth O2- site, O2- is bonded to four Li1+ and two V+3.75+ atoms to form distorted OLi4V2 octahedra that share corners with five OLi4V2 octahedra, a cornercorner with one OLi3V2 square pyramid, and edges with twelve OLi3V3 octahedra. The corner-sharing octahedra tilt angles range from 3–14°. In the fifth O2- site, O2- is bonded to four Li1+ and two V+3.75+ atoms to form distorted OLi4V2 octahedra that share corners with five OLi4V2 octahedra, a cornercorner with one OLi3V2 square pyramid, edges with eleven OLi3V3 octahedra, and an edgeedge with one OLi3V2 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 2–16°. In the sixth O2- site, O2- is bonded to four Li1+ and two V+3.75+ atoms to form distorted OLi4V2 octahedra that share corners with six OLi3V3 octahedra and edges with twelve OLi4V2 octahedra. The corner-sharing octahedra tilt angles range from 2–15°. In the seventh O2- site, O2- is bonded to three Li1+ and three V+3.75+ atoms to form OLi3V3 octahedra that share corners with three OLi5V octahedra, corners with three OLi2V3 square pyramids, edges with nine OLi3V3 octahedra, and edges with three OLi4V square pyramids. The corner-sharing octahedra tilt angles range from 1–9°. In the eighth O2- site, O2- is bonded to two Li1+ and three V+3.75+ atoms to form OLi2V3 square pyramids that share corners with five OLi3V3 octahedra, corners with three OLi4V square pyramids, a cornercorner with one OLi3V2 trigonal bipyramid, and edges with eight OLi3V3 octahedra. The corner-sharing octahedra tilt angles range from 0–14°. In the ninth O2- site, O2- is bonded to three Li1+ and three V+3.75+ atoms to form OLi3V3 octahedra that share corners with six OLi3V3 octahedra, edges with six OLi3V3 octahedra, edges with five OLi2V3 square pyramids, and an edgeedge with one OLi3V2 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 3–14°. In the tenth O2- site, O2- is bonded to four Li1+ and one V+3.75+ atom to form OLi4V square pyramids that share corners with five OLi5V octahedra, corners with four OLi2V3 square pyramids, and edges with eight OLi3V3 octahedra. The corner-sharing octahedra tilt angles range from 2–14°. In the eleventh O2- site, O2- is bonded to five Li1+ and one V+3.75+ atom to form OLi5V octahedra that share corners with three OLi4V2 octahedra, corners with two equivalent OLi4V square pyramids, a cornercorner with one OLi3V2 trigonal bipyramid, edges with nine OLi3V3 octahedra, and edges with three OLi2V3 square pyramids. The corner-sharing octahedra tilt angles range from 0–7°. In the twelf

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Dy5Bi11O24 by Materials Project

Dy5Bi11O24 is Ilmenite-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are ten inequivalent Dy3+ sites. In the first Dy3+ site, Dy3+ is bonded to six O2- atoms to form distorted DyO6 octahedra that share corners with two DyO6 octahedra, corners with four BiO6 octahedra, edges with three DyO6 octahedra, and edges with three BiO6 octahedra. The corner-sharing octahedra tilt angles range from 50–57°. There are a spread of Dy–O bond distances ranging from 2.28–2.35 Å. In the second Dy3+ site, Dy3+ is bonded to six O2- atoms to form DyO6 octahedra that share a cornercorner with one DyO6 octahedra, corners with five BiO6 octahedra, an edgeedge with one DyO6 octahedra, and edges with five BiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–57°. There are a spread of Dy–O bond distances ranging from 2.31–2.33 Å. In the third Dy3+ site, Dy3+ is bonded to six O2- atoms to form distorted DyO6 octahedra that share corners with two DyO6 octahedra, corners with four BiO6 octahedra, edges with three DyO6 octahedra, and edges with three BiO6 octahedra. The corner-sharing octahedra tilt angles range from 51–58°. There are a spread of Dy–O bond distances ranging from 2.29–2.38 Å. In the fourth Dy3+ site, Dy3+ is bonded to six O2- atoms to form DyO6 octahedra that share corners with two DyO6 octahedra, corners with four BiO6 octahedra, and edges with six BiO6 octahedra. The corner-sharing octahedra tilt angles range from 51–55°. There are a spread of Dy–O bond distances ranging from 2.31–2.33 Å. In the fifth Dy3+ site, Dy3+ is bonded to six O2- atoms to form DyO6 octahedra that share corners with six BiO6 octahedra and edges with six BiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–54°. There are four shorter (2.31 Å) and two longer (2.32 Å) Dy–O bond lengths. In the sixth Dy3+ site, Dy3+ is bonded to six O2- atoms to form DyO6 octahedra that share a cornercorner with one DyO6 octahedra, corners with five BiO6 octahedra, an edgeedge with one DyO6 octahedra, and edges with five BiO6 octahedra. The corner-sharing octahedra tilt angles range from 50–56°. There are a spread of Dy–O bond distances ranging from 2.30–2.35 Å. In the seventh Dy3+ site, Dy3+ is bonded to six O2- atoms to form DyO6 octahedra that share corners with six BiO6 octahedra and edges with six BiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–54°. There are three shorter (2.31 Å) and three longer (2.32 Å) Dy–O bond lengths. In the eighth Dy3+ site, Dy3+ is bonded to six O2- atoms to form DyO6 octahedra that share corners with six BiO6 octahedra and edges with six BiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–55°. There are a spread of Dy–O bond distances ranging from 2.31–2.33 Å. In the ninth Dy3+ site, Dy3+ is bonded to six O2- atoms to form DyO6 octahedra that share corners with six BiO6 octahedra, edges with two DyO6 octahedra, and edges with four BiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–58°. There are a spread of Dy–O bond distances ranging from 2.31–2.34 Å. In the tenth Dy3+ site, Dy3+ is bonded to six O2- atoms to form DyO6 octahedra that share corners with six BiO6 octahedra and edges with six BiO6 octahedra. The corner-sharing octahedra tilt angles range from 53–54°. There are a spread of Dy–O bond distances ranging from 2.30–2.33 Å. There are twenty-two inequivalent Bi3+ sites. In the first Bi3+ site, Bi3+ is bonded to six O2- atoms to form distorted BiO6 octahedra that share corners with three DyO6 octahedra, corners with three BiO6 octahedra, edges with two DyO6 octahedra, and edges with four BiO6 octahedra. The corner-sharing octahedra tilt angles range from 53–58°. There are a spread of Bi–O bond distances ranging from 2.33–2.49 Å. In the second Bi3+ site, Bi3+ is bonded to six O2- atoms to form distorted BiO6 octahedra that share corners with three DyO6 octahedra, corners with three BiO6 octahedra, edges with three DyO6 octahedra, and edges with three BiO6 octahedra. The corner-sharing octahedra tilt angles range from 55–58°. There are a spread of Bi–O bond distances ranging from 2.34–2.52 Å. In the third Bi3+ site, Bi3+ is bonded to six O2- atoms to form distorted BiO6 octahedra that share corners with three DyO6 octahedra, corners with three BiO6 octahedra, edges with three DyO6 octahedra, and edges with three BiO6 octahedra. The corner-sharing octahedra tilt angles range from 53–59°. There are a spread of Bi–O bond distances ranging from 2.34–2.48 Å. In the fourth Bi3+ site, Bi3+ is bonded to six O2- atoms to form distorted BiO6 octahedra that share corners with two DyO6 octahedra, corners with four BiO6 octahedra, edges with two DyO6 octahedra, and edges with four BiO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Bi–O bond distances ranging from 2.33–2.50 Å. In the fifth Bi3+ site, Bi3+ is bonded to six O2- atoms to form distorted BiO6 octahedra that share corners with two DyO6 octahedra, corners with four BiO6 octahedra, edges with three DyO6 octahedra, and edges with three BiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–58°. There are a spread of Bi–O bond distances ranging from 2.32–2.49 Å. In the sixth Bi3+ site, Bi3+ is bonded to six O2- atoms to form distorted BiO6 octahedra that share corners with three DyO6 octahedra, corners with three BiO6 octahedra, edges with two DyO6 octahedra, and edges with four BiO6 octahedra. The corner-sharing octahedra tilt angles range from 54–58°. There are a spread of Bi–O bond distances ranging from 2.34–2.49 Å. In the seventh Bi3+ site, Bi3+ is bonded to six O2- atoms to form distorted BiO6 octahedra that share corners with three DyO6 octahedra, corners with three BiO6 octahedra, edges with three DyO6 octahedra, and edges with three BiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–58°. There are a spread of Bi–O bond distances ranging from 2.36–2.46 Å. In the eighth Bi3+ site, Bi3+ is bonded to six O2- atoms to form distorted BiO6 octahedra that share corners with two DyO6 octahedra, corners with four BiO6 octahedra, edges with two DyO6 octahedra, and edges with four BiO6 octahedra. The corner-sharing octahedra tilt angles range from 53–56°. There are a spread of Bi–O bond distances ranging from 2.33–2.50 Å. In the ninth Bi3+ site, Bi3+ is bonded to six O2- atoms to form distorted BiO6 octahedra that share corners with two DyO6 octahedra, corners with four BiO6 octahedra, edges with two DyO6 octahedra, and edges with four BiO6 octahedra. The corner-sharing octahedra tilt angles range from 54–57°. There are a spread of Bi–O bond distances ranging from 2.33–2.50 Å. In the tenth Bi3+ site, Bi3+ is bonded to six O2- atoms to form distorted BiO6 octahedra that share corners with three DyO6 octahedra, corners with three BiO6 octahedra, edges with two DyO6 octahedra, and edges with four BiO6 octahedra. The corner-sharing octahedra tilt angles range from 53–56°. There are a spread of Bi–O bond distances ranging from 2.33–2.48 Å. In the eleventh Bi3+ site, Bi3+ is bonded to six O2- atoms to form distorted BiO6 octahedra that share corners with two DyO6 octahedra, corners with four BiO6 octahedra, edges with two DyO6 octahedra, and edges with four BiO6 octahedra. The corner-sharing octahedra tilt angles range from 53–58°. There are a spread of Bi–O bond distances ranging from 2.34–2.50 Å. In the twelfth Bi3+ site, Bi3+ is bonded to six O2- atoms to form distorted BiO6 octahedra that share corners with two DyO6 octahedra, corners with four BiO6 octahedra, edges with three DyO6 octahedra, and edges with three BiO6 octahedra. The corner-sharing octahedra tilt angles range from 54–59°. There are a spread of Bi–O bond distances ranging from 2.34–2.51 Å. In the thirteenth Bi3+ site, Bi3+ is bonded to six O2- atoms to form distorted BiO6 octahedra that share corners with two DyO6 octahedra, corners with four BiO6 octahedra, edges with two DyO6 octahedra, and edges with four BiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–58°. There are a spread of Bi–O bond distances ranging from 2.33–2.50 Å. In the fourteenth Bi3+ site, Bi3+ is bonded to six O2- atoms to form distorted BiO6 octahedra that share corners with two DyO6 octahedra, corners with four BiO6 octahedra, edges with two DyO6 octahedra, and edges with four BiO6 octahedra. The corner-sharing octahedra tilt angles range from 53–57°. There are a spread of Bi–O bond distances ranging from 2.32–2.51 Å. In the fifteenth Bi3+ site, Bi3+ is bonded to six O2- atoms to form distorted BiO6 octahedra that share corners with three DyO6 octahedra, corners with three BiO6 octahedra, edges with two DyO6 octahedra, and edges with four BiO6 octahedra. The corner-sharing octahedra tilt angles range from 54–58°. There are a spread of Bi–O bond distances ranging from 2.35–2.48 Å. In the sixteenth Bi3+ site, Bi3+ is bonded to six O2- atoms to form distorted BiO6 octahedra that share corners with two DyO6 octahedra, corners with four BiO6 octahedra, edges with two DyO6 octahedra, and edges with four BiO6 octahedra. The corner-sharing octahedra tilt angles range from 53–58°. There are a spread of Bi–O bond distances ranging from 2.33–2.50 Å. In the seventeenth Bi3+ site, Bi3+ is bonded to six O2- atoms to form distorted BiO6 octahedra that share corners with two DyO6 octahedra, corners with four BiO6 octahedra, edges with two DyO6 octahedra, and edges with four BiO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Bi–O bond distances ranging from 2.33–2.49 Å. In the eighteenth Bi3+ site, Bi3+ is bonded to six O2- atoms to form distorted BiO6 octahedra that share corners with two DyO6 octahedra, corners with four BiO6 octahedra, edges with two DyO6 octahedra, and edges with four BiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–58°. There are a spread of Bi–O bond distances ranging from 2.34–2.49 Å. In the nineteenth Bi3+ site, Bi3+ is bonded to six O2- atoms to form distorted BiO6 octahedra that share corners with three DyO6 octahedra, corners with three BiO6 octahedra, edges with three DyO6 octahedra, and edges with three BiO6 octahedra. The corner-sharing octahedra tilt angles range from 53–58°. There are a spread of Bi–O bond distances ranging from 2.31–2.51 Å. In the twentieth Bi3+ site, Bi3+ is bonded to six O2- atoms to form distorted BiO6 octahedra that share corners with two DyO6 octahedra, corners with four BiO6 octahedra, edges with two DyO6 octahedra, and edges with four BiO6 octahedra. The corner-sharing octahedra tilt angles range from 53–58°. There are a spread of Bi–O bond distances ranging from 2.32–2.51 Å. In the twenty-first Bi3+ site, Bi3+ is bonded to six O2- atoms to form distorted BiO6 octahedra that share corners with two DyO6 octahedra, corners with four BiO6 octahedra, edges with two DyO6 octahedra, and edges with four BiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–58°. There are a spread of Bi–O bond distances ranging from 2.33–2.50 Å. In the twenty-second Bi3+ site, Bi3+ is bonded to six O2- atoms to form distorted BiO6 octahedra that share corners with two DyO6 octahedra, corners with four BiO6 octahedra, edges with two DyO6 octahedra, and edges with four BiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–58°. There are a spread of Bi–O bond distances ranging from 2.33–2.50 Å. There are forty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded to three Dy3+ and one Bi3+ atom to form distorted ODy3Bi trigonal pyramids that share corners with two ODy2Bi2 tetrahedra, corners with ten ODyBi3 trigonal pyramids, an edgeedge with one ODy3Bi tetrahedra, and edges with three ODy2Bi2 trigonal pyramids. In the second O2- site, O2- is bonded to three Dy3+ and one Bi3+ atom to form distorted ODy3Bi tetrahedra that share a

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Y13Ho19O48 by Materials Project

Ho19Y13O48 is Spinel-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are nineteen inequivalent Ho3+ sites. In the first Ho3+ site, Ho3+ is bonded to six O2- atoms to form distorted HoO6 octahedra that share corners with three HoO6 octahedra, corners with three YO6 octahedra, edges with two YO6 octahedra, and edges with four HoO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Ho–O bond distances ranging from 2.25–2.34 Å. In the second Ho3+ site, Ho3+ is bonded to six O2- atoms to form distorted HoO6 octahedra that share corners with two HoO6 octahedra, corners with four YO6 octahedra, edges with three HoO6 octahedra, and edges with three YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Ho–O bond distances ranging from 2.25–2.35 Å. In the third Ho3+ site, Ho3+ is bonded to six O2- atoms to form distorted HoO6 octahedra that share corners with three HoO6 octahedra, corners with three YO6 octahedra, edges with two HoO6 octahedra, and edges with four YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Ho–O bond distances ranging from 2.25–2.34 Å. In the fourth Ho3+ site, Ho3+ is bonded to six O2- atoms to form distorted HoO6 octahedra that share corners with two HoO6 octahedra, corners with four YO6 octahedra, edges with two YO6 octahedra, and edges with four HoO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Ho–O bond distances ranging from 2.25–2.34 Å. In the fifth Ho3+ site, Ho3+ is bonded to six O2- atoms to form distorted HoO6 octahedra that share corners with two YO6 octahedra, corners with four HoO6 octahedra, edges with two HoO6 octahedra, and edges with four YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Ho–O bond distances ranging from 2.25–2.34 Å. In the sixth Ho3+ site, Ho3+ is bonded to six O2- atoms to form distorted HoO6 octahedra that share corners with two YO6 octahedra, corners with four HoO6 octahedra, edges with two HoO6 octahedra, and edges with four YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Ho–O bond distances ranging from 2.25–2.34 Å. In the seventh Ho3+ site, Ho3+ is bonded to six O2- atoms to form distorted HoO6 octahedra that share corners with two YO6 octahedra, corners with four HoO6 octahedra, edges with two HoO6 octahedra, and edges with four YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Ho–O bond distances ranging from 2.25–2.34 Å. In the eighth Ho3+ site, Ho3+ is bonded to six O2- atoms to form distorted HoO6 octahedra that share corners with two HoO6 octahedra, corners with four YO6 octahedra, edges with three HoO6 octahedra, and edges with three YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Ho–O bond distances ranging from 2.25–2.35 Å. In the ninth Ho3+ site, Ho3+ is bonded to six O2- atoms to form distorted HoO6 octahedra that share corners with three HoO6 octahedra, corners with three YO6 octahedra, edges with two YO6 octahedra, and edges with four HoO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Ho–O bond distances ranging from 2.25–2.34 Å. In the tenth Ho3+ site, Ho3+ is bonded to six O2- atoms to form distorted HoO6 octahedra that share corners with two YO6 octahedra, corners with four HoO6 octahedra, edges with two YO6 octahedra, and edges with four HoO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Ho–O bond distances ranging from 2.25–2.34 Å. In the eleventh Ho3+ site, Ho3+ is bonded to six O2- atoms to form distorted HoO6 octahedra that share corners with two HoO6 octahedra, corners with four YO6 octahedra, edges with two YO6 octahedra, and edges with four HoO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Ho–O bond distances ranging from 2.25–2.35 Å. In the twelfth Ho3+ site, Ho3+ is bonded to six O2- atoms to form distorted HoO6 octahedra that share corners with two YO6 octahedra, corners with four HoO6 octahedra, edges with two HoO6 octahedra, and edges with four YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Ho–O bond distances ranging from 2.25–2.34 Å. In the thirteenth Ho3+ site, Ho3+ is bonded to six O2- atoms to form distorted HoO6 octahedra that share corners with two HoO6 octahedra, corners with four YO6 octahedra, edges with two YO6 octahedra, and edges with four HoO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Ho–O bond distances ranging from 2.25–2.34 Å. In the fourteenth Ho3+ site, Ho3+ is bonded to six O2- atoms to form distorted HoO6 octahedra that share corners with two HoO6 octahedra, corners with four YO6 octahedra, edges with two YO6 octahedra, and edges with four HoO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Ho–O bond distances ranging from 2.25–2.34 Å. In the fifteenth Ho3+ site, Ho3+ is bonded to six O2- atoms to form distorted HoO6 octahedra that share corners with two YO6 octahedra, corners with four HoO6 octahedra, edges with two HoO6 octahedra, and edges with four YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Ho–O bond distances ranging from 2.25–2.34 Å. In the sixteenth Ho3+ site, Ho3+ is bonded to six O2- atoms to form distorted HoO6 octahedra that share corners with two HoO6 octahedra, corners with four YO6 octahedra, edges with two YO6 octahedra, and edges with four HoO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Ho–O bond distances ranging from 2.25–2.35 Å. In the seventeenth Ho3+ site, Ho3+ is bonded to six O2- atoms to form distorted HoO6 octahedra that share corners with three HoO6 octahedra, corners with three YO6 octahedra, edges with two HoO6 octahedra, and edges with four YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Ho–O bond distances ranging from 2.25–2.34 Å. In the eighteenth Ho3+ site, Ho3+ is bonded to six O2- atoms to form distorted HoO6 octahedra that share corners with two YO6 octahedra, corners with four HoO6 octahedra, edges with two YO6 octahedra, and edges with four HoO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Ho–O bond distances ranging from 2.25–2.34 Å. In the nineteenth Ho3+ site, Ho3+ is bonded to six O2- atoms to form distorted HoO6 octahedra that share corners with two HoO6 octahedra, corners with four YO6 octahedra, edges with two YO6 octahedra, and edges with four HoO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Ho–O bond distances ranging from 2.25–2.34 Å. There are thirteen inequivalent Y3+ sites. In the first Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share corners with two YO6 octahedra, corners with four HoO6 octahedra, edges with two HoO6 octahedra, and edges with four YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–57°. There are a spread of Y–O bond distances ranging from 2.26–2.35 Å. In the second Y3+ site, Y3+ is bonded to six O2- atoms to form YO6 octahedra that share a cornercorner with one YO6 octahedra, corners with five HoO6 octahedra, edges with two YO6 octahedra, and edges with four HoO6 octahedra. The corner-sharing octahedral tilt angles are 56°. All Y–O bond lengths are 2.30 Å. In the third Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share corners with two YO6 octahedra, corners with four HoO6 octahedra, edges with three HoO6 octahedra, and edges with three YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–57°. There are a spread of Y–O bond distances ranging from 2.26–2.35 Å. In the fourth Y3+ site, Y3+ is bonded to six O2- atoms to form YO6 octahedra that share corners with two YO6 octahedra, corners with four HoO6 octahedra, an edgeedge with one YO6 octahedra, and edges with five HoO6 octahedra. The corner-sharing octahedra tilt angles range from 56–57°. There are five shorter (2.30 Å) and one longer (2.31 Å) Y–O bond lengths. In the fifth Y3+ site, Y3+ is bonded to six O2- atoms to form YO6 octahedra that share corners with two YO6 octahedra, corners with four HoO6 octahedra, an edgeedge with one YO6 octahedra, and edges with five HoO6 octahedra. The corner-sharing octahedra tilt angles range from 56–57°. There are five shorter (2.30 Å) and one longer (2.31 Å) Y–O bond lengths. In the sixth Y3+ site, Y3+ is bonded to six O2- atoms to form YO6 octahedra that share a cornercorner with one YO6 octahedra, corners with five HoO6 octahedra, an edgeedge with one YO6 octahedra, and edges with five HoO6 octahedra. The corner-sharing octahedra tilt angles range from 56–57°. There are five shorter (2.30 Å) and one longer (2.31 Å) Y–O bond lengths. In the seventh Y3+ site, Y3+ is bonded to six O2- atoms to form YO6 octahedra that share a cornercorner with one YO6 octahedra, corners with five HoO6 octahedra, edges with two YO6 octahedra, and edges with four HoO6 octahedra. The corner-sharing octahedral tilt angles are 56°. All Y–O bond lengths are 2.30 Å. In the eighth Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share corners with two YO6 octahedra, corners with four HoO6 octahedra, edges with three HoO6 octahedra, and edges with three YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–57°. There are a spread of Y–O bond distances ranging from 2.27–2.35 Å. In the ninth Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share corners with two YO6 octahedra, corners with four HoO6 octahedra, edges with two YO6 octahedra, and edges with four HoO6 octahedra. The corner-sharing octahedra tilt angles range from 54–57°. There are a spread of Y–O bond distances ranging from 2.26–2.35 Å. In the tenth Y3+ site, Y3+ is bonded to six O2- atoms to form YO6 octahedra that share a cornercorner with one YO6 octahedra, corners with five HoO6 octahedra, an edgeedge with one YO6 octahedra, and edges with five HoO6 octahedra. The corner-sharing octahedra tilt angles range from 56–57°. There are five shorter (2.30 Å) and one longer (2.31 Å) Y–O bond lengths. In the eleventh Y3+ site, Y3+ is bonded to six O2- atoms to form YO6 octahedra that share a cornercorner with one YO6 octahedra, corners with five HoO6 octahedra, an edgeedge with one YO6 octahedra, and edges with five HoO6 octahedra. The corner-sharing octahedra tilt angles range from 56–57°. There are five shorter (2.30 Å) and one longer (2.31 Å) Y–O bond lengths. In the twelfth Y3+ site, Y3+ is bonded to six O2- atoms to form YO6 octahedra that share a cornercorner with one YO6 octahedra, corners with five HoO6 octahedra, an edgeedge with one YO6 octahedra, and edges with five HoO6 octahedra. The corner-sharing octahedral tilt angles are 56°. There are five shorter (2.30 Å) and one longer (2.31 Å) Y–O bond lengths. In the thirteenth Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share corners with two YO6 octahedra, corners with four HoO6 octahedra, edges with two YO6 octahedra, and edges with four HoO6 octahedra. The corner-sharing octahedra tilt angles range from 54–57°. There are a spread of Y–O bond distances ranging from 2.27–2.35 Å. There are forty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded to two Ho3+ and two Y3+ atoms to form distorted OY2Ho2 trigonal pyramids that share corners with twelve OY3Ho trigonal pyramids and edges with four OYHo3 trigonal pyramids. In the second O2- site, O2

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Li8Nb2S9 by Materials Project

Li8Nb2S9 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are sixteen inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to five S2- atoms to form LiS5 trigonal bipyramids that share corners with two LiS6 octahedra, corners with two equivalent NbS6 octahedra, corners with four LiS5 square pyramids, a cornercorner with one LiS5 trigonal bipyramid, edges with two LiS6 octahedra, edges with two NbS6 octahedra, an edgeedge with one LiS5 square pyramid, and edges with three LiS5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 8–19°. There are a spread of Li–S bond distances ranging from 2.49–2.77 Å. In the second Li1+ site, Li1+ is bonded to six S2- atoms to form LiS6 octahedra that share corners with four LiS5 square pyramids, corners with two LiS5 trigonal bipyramids, edges with three NbS6 octahedra, edges with four LiS6 octahedra, edges with three LiS5 square pyramids, and edges with two LiS5 trigonal bipyramids. There are a spread of Li–S bond distances ranging from 2.49–2.77 Å. In the third Li1+ site, Li1+ is bonded to six S2- atoms to form LiS6 octahedra that share corners with two equivalent NbS6 octahedra, corners with two equivalent LiS5 square pyramids, corners with two LiS5 trigonal bipyramids, edges with two NbS6 octahedra, edges with four LiS6 octahedra, edges with four LiS5 square pyramids, and edges with two LiS5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 8–15°. There are a spread of Li–S bond distances ranging from 2.49–2.72 Å. In the fourth Li1+ site, Li1+ is bonded to five S2- atoms to form LiS5 trigonal bipyramids that share corners with two LiS6 octahedra, corners with six LiS5 square pyramids, a cornercorner with one LiS5 trigonal bipyramid, edges with two LiS6 octahedra, edges with three NbS6 octahedra, and edges with three LiS5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 10–20°. There are a spread of Li–S bond distances ranging from 2.47–2.68 Å. In the fifth Li1+ site, Li1+ is bonded to five S2- atoms to form LiS5 square pyramids that share corners with two equivalent LiS6 octahedra, corners with three NbS6 octahedra, corners with two LiS5 square pyramids, corners with two LiS5 trigonal bipyramids, edges with two equivalent NbS6 octahedra, edges with three LiS6 octahedra, and edges with three LiS5 square pyramids. The corner-sharing octahedra tilt angles range from 5–12°. There are a spread of Li–S bond distances ranging from 2.45–2.63 Å. In the sixth Li1+ site, Li1+ is bonded to five S2- atoms to form LiS5 square pyramids that share a cornercorner with one NbS6 octahedra, corners with four LiS5 square pyramids, corners with four LiS5 trigonal bipyramids, edges with two LiS6 octahedra, edges with three NbS6 octahedra, edges with two LiS5 square pyramids, and an edgeedge with one LiS5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 5°. There are a spread of Li–S bond distances ranging from 2.49–2.70 Å. In the seventh Li1+ site, Li1+ is bonded to five S2- atoms to form LiS5 square pyramids that share corners with two equivalent LiS6 octahedra, corners with five LiS5 square pyramids, corners with two LiS5 trigonal bipyramids, an edgeedge with one LiS6 octahedra, edges with four NbS6 octahedra, and edges with three LiS5 square pyramids. The corner-sharing octahedra tilt angles range from 10–11°. There are a spread of Li–S bond distances ranging from 2.44–2.62 Å. In the eighth Li1+ site, Li1+ is bonded to five S2- atoms to form LiS5 square pyramids that share corners with two equivalent LiS6 octahedra, corners with five LiS5 square pyramids, corners with two LiS5 trigonal bipyramids, an edgeedge with one LiS6 octahedra, edges with four NbS6 octahedra, and edges with three LiS5 square pyramids. The corner-sharing octahedra tilt angles range from 8–14°. There are a spread of Li–S bond distances ranging from 2.44–2.65 Å. In the ninth Li1+ site, Li1+ is bonded to five S2- atoms to form LiS5 square pyramids that share corners with two equivalent LiS6 octahedra, corners with five LiS5 square pyramids, corners with two LiS5 trigonal bipyramids, an edgeedge with one LiS6 octahedra, edges with four NbS6 octahedra, and edges with three LiS5 square pyramids. The corner-sharing octahedra tilt angles range from 7–15°. There are a spread of Li–S bond distances ranging from 2.47–2.60 Å. In the tenth Li1+ site, Li1+ is bonded to five S2- atoms to form LiS5 square pyramids that share corners with two equivalent LiS6 octahedra, corners with five LiS5 square pyramids, corners with two LiS5 trigonal bipyramids, an edgeedge with one LiS6 octahedra, edges with four NbS6 octahedra, and edges with three LiS5 square pyramids. The corner-sharing octahedra tilt angles range from 10–11°. There are a spread of Li–S bond distances ranging from 2.49–2.66 Å. In the eleventh Li1+ site, Li1+ is bonded to five S2- atoms to form LiS5 square pyramids that share corners with three NbS6 octahedra, corners with two LiS5 square pyramids, corners with four LiS5 trigonal bipyramids, edges with two LiS6 octahedra, edges with two equivalent NbS6 octahedra, edges with three LiS5 square pyramids, and an edgeedge with one LiS5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 8–15°. There are a spread of Li–S bond distances ranging from 2.47–2.68 Å. In the twelfth Li1+ site, Li1+ is bonded to five S2- atoms to form LiS5 square pyramids that share a cornercorner with one NbS6 octahedra, corners with two equivalent LiS6 octahedra, corners with four LiS5 square pyramids, corners with two LiS5 trigonal bipyramids, edges with three LiS6 octahedra, edges with three NbS6 octahedra, and edges with two LiS5 square pyramids. The corner-sharing octahedra tilt angles range from 6–7°. There are a spread of Li–S bond distances ranging from 2.47–2.64 Å. In the thirteenth Li1+ site, Li1+ is bonded to five S2- atoms to form LiS5 trigonal bipyramids that share corners with two LiS6 octahedra, corners with six LiS5 square pyramids, a cornercorner with one LiS5 trigonal bipyramid, edges with two LiS6 octahedra, edges with three NbS6 octahedra, and edges with three LiS5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 11–21°. There are a spread of Li–S bond distances ranging from 2.50–2.75 Å. In the fourteenth Li1+ site, Li1+ is bonded to six S2- atoms to form LiS6 octahedra that share corners with two equivalent NbS6 octahedra, corners with two equivalent LiS5 square pyramids, corners with two LiS5 trigonal bipyramids, edges with two NbS6 octahedra, edges with four LiS6 octahedra, edges with four LiS5 square pyramids, and edges with two LiS5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 7–10°. There are a spread of Li–S bond distances ranging from 2.49–2.86 Å. In the fifteenth Li1+ site, Li1+ is bonded to five S2- atoms to form LiS5 trigonal bipyramids that share corners with two LiS6 octahedra, corners with two equivalent NbS6 octahedra, corners with four LiS5 square pyramids, a cornercorner with one LiS5 trigonal bipyramid, edges with two LiS6 octahedra, edges with two NbS6 octahedra, an edgeedge with one LiS5 square pyramid, and edges with three LiS5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 8–22°. There are a spread of Li–S bond distances ranging from 2.49–2.81 Å. In the sixteenth Li1+ site, Li1+ is bonded to six S2- atoms to form LiS6 octahedra that share corners with four LiS5 square pyramids, corners with two LiS5 trigonal bipyramids, edges with three NbS6 octahedra, edges with four LiS6 octahedra, edges with three LiS5 square pyramids, and edges with two LiS5 trigonal bipyramids. There are a spread of Li–S bond distances ranging from 2.54–2.73 Å. There are four inequivalent Nb5+ sites. In the first Nb5+ site, Nb5+ is bonded to six S2- atoms to form distorted NbS6 octahedra that share corners with three NbS6 octahedra, a cornercorner with one LiS5 square pyramid, corners with two equivalent LiS5 trigonal bipyramids, edges with two LiS6 octahedra, edges with seven LiS5 square pyramids, and edges with three LiS5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 7–11°. There are a spread of Nb–S bond distances ranging from 2.31–2.88 Å. In the second Nb5+ site, Nb5+ is bonded to six S2- atoms to form NbS6 octahedra that share a cornercorner with one NbS6 octahedra, corners with two equivalent LiS6 octahedra, corners with three LiS5 square pyramids, an edgeedge with one NbS6 octahedra, edges with three LiS6 octahedra, edges with six LiS5 square pyramids, and edges with two LiS5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 8–15°. There are a spread of Nb–S bond distances ranging from 2.34–2.73 Å. In the third Nb5+ site, Nb5+ is bonded to six S2- atoms to form distorted NbS6 octahedra that share corners with two equivalent LiS6 octahedra, corners with three NbS6 octahedra, a cornercorner with one LiS5 square pyramid, edges with three LiS6 octahedra, edges with seven LiS5 square pyramids, and edges with two LiS5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 7–13°. There are a spread of Nb–S bond distances ranging from 2.31–3.03 Å. In the fourth Nb5+ site, Nb5+ is bonded to six S2- atoms to form distorted NbS6 octahedra that share a cornercorner with one NbS6 octahedra, corners with three LiS5 square pyramids, corners with two equivalent LiS5 trigonal bipyramids, an edgeedge with one NbS6 octahedra, edges with two LiS6 octahedra, edges with six LiS5 square pyramids, and edges with three LiS5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 13°. There are a spread of Nb–S bond distances ranging from 2.30–2.89 Å. There are eighteen inequivalent S2- sites. In the first S2- site, S2- is bonded to five Li1+ and one Nb5+ atom to form SLi5Nb octahedra that share corners with six SLi4Nb2 octahedra and edges with ten SLi5Nb octahedra. The corner-sharing octahedra tilt angles range from 1–20°. In the second S2- site, S2- is bonded to five Li1+ and one Nb5+ atom to form a mixture of distorted edge and corner-sharing SLi5Nb octahedra. The corner-sharing octahedra tilt angles range from 11–22°. In the third S2- site, S2- is bonded to five Li1+ and one Nb5+ atom to form a mixture of edge and corner-sharing SLi5Nb octahedra. The corner-sharing octahedra tilt angles range from 5–20°. In the fourth S2- site, S2- is bonded to five Li1+ and one Nb5+ atom to form a mixture of edge and corner-sharing SLi5Nb octahedra. The corner-sharing octahedra tilt angles range from 1–22°. In the fifth S2- site, S2- is bonded to five Li1+ and one Nb5+ atom to form a mixture of edge and corner-sharing SLi5Nb octahedra. The corner-sharing octahedra tilt angles range from 5–13°. In the sixth S2- site, S2- is bonded to five Li1+ and one Nb5+ atom to form a mixture of edge and corner-sharing SLi5Nb octahedra. The corner-sharing octahedra tilt angles range from 5–10°. In the seventh S2- site, S2- is bonded to four Li1+ and two Nb5+ atoms to form a mixture of edge and corner-sharing SLi4Nb2 octahedra. The corner-sharing octahedra tilt angles range from 10–16°. In the eighth S2- site, S2- is bonded to four Li1+ and two Nb5+ atoms to form a mixture of distorted edge and corner-sharing SLi4Nb2 octahedra. The corner-sharing octahedra tilt angles range from 3–18°. In the ninth S2- site, S2- is bonded to four Li1+ and two Nb5+ atoms to form a mixture of distorted edge and corner-sharing SLi4Nb2 octahedra. The corner-sharing octahedra tilt angles range from 6–16°. In the tenth S2- site, S2- is bonded to four Li1+ and two Nb5+ atoms to form distorted SLi4Nb2 octahedra that share corners with four SLi4Nb2 octahedra, corners with two equivalent SLi5Nb pentagonal pyramids, and edges with ten SLi5Nb octahedra. The corner-sharing octahedra tilt angles range from 7–14°. In the eleventh S2- site, S2- is bonded to

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Li32Ti13Cr3O48 by Materials Project

Li32Ti13Cr3O48 is beta Polonium-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are thirty-two inequivalent Li sites. In the first Li site, Li is bonded to six O atoms to form LiO6 octahedra that share a cornercorner with one CrO6 octahedra, corners with two LiO6 octahedra, corners with three TiO6 octahedra, edges with four TiO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–9°. There are a spread of Li–O bond distances ranging from 2.09–2.28 Å. In the second Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent CrO6 octahedra, edges with four TiO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–9°. There are a spread of Li–O bond distances ranging from 2.10–2.15 Å. In the third Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with four TiO6 octahedra, edges with four TiO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–8°. There are a spread of Li–O bond distances ranging from 2.05–2.20 Å. In the fourth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with four TiO6 octahedra, an edgeedge with one CrO6 octahedra, edges with three TiO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–9°. There are a spread of Li–O bond distances ranging from 2.09–2.22 Å. In the fifth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with four TiO6 octahedra, an edgeedge with one CrO6 octahedra, edges with three TiO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–9°. There are a spread of Li–O bond distances ranging from 2.10–2.22 Å. In the sixth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with two TiO6 octahedra, corners with two CrO6 octahedra, an edgeedge with one CrO6 octahedra, edges with three TiO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–9°. There are a spread of Li–O bond distances ranging from 2.08–2.24 Å. In the seventh Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, an edgeedge with one CrO6 octahedra, edges with five TiO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–9°. There are a spread of Li–O bond distances ranging from 2.10–2.16 Å. In the eighth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with two TiO6 octahedra, corners with two CrO6 octahedra, an edgeedge with one CrO6 octahedra, edges with three TiO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–8°. There are a spread of Li–O bond distances ranging from 2.05–2.25 Å. In the ninth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with two TiO6 octahedra, corners with two CrO6 octahedra, edges with four TiO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–8°. There are a spread of Li–O bond distances ranging from 2.09–2.27 Å. In the tenth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–8°. There are a spread of Li–O bond distances ranging from 2.11–2.14 Å. In the eleventh Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with four TiO6 octahedra, an edgeedge with one CrO6 octahedra, edges with three TiO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–9°. There are a spread of Li–O bond distances ranging from 2.08–2.22 Å. In the twelfth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with four TiO6 octahedra, an edgeedge with one CrO6 octahedra, edges with three TiO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–9°. There are a spread of Li–O bond distances ranging from 2.10–2.24 Å. In the thirteenth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent CrO6 octahedra, edges with four TiO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–9°. There are a spread of Li–O bond distances ranging from 2.11–2.14 Å. In the fourteenth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with four TiO6 octahedra, edges with four TiO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–8°. There are a spread of Li–O bond distances ranging from 2.05–2.20 Å. In the fifteenth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with four TiO6 octahedra, an edgeedge with one CrO6 octahedra, edges with three TiO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–8°. There are a spread of Li–O bond distances ranging from 2.08–2.22 Å. In the sixteenth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with two TiO6 octahedra, corners with two CrO6 octahedra, an edgeedge with one CrO6 octahedra, edges with three TiO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–8°. There are a spread of Li–O bond distances ranging from 2.09–2.21 Å. In the seventeenth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, an edgeedge with one CrO6 octahedra, edges with five TiO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–9°. There are a spread of Li–O bond distances ranging from 2.11–2.15 Å. In the eighteenth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with two TiO6 octahedra, corners with two CrO6 octahedra, edges with four TiO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–8°. There are a spread of Li–O bond distances ranging from 2.04–2.24 Å. In the nineteenth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share a cornercorner with one CrO6 octahedra, corners with two LiO6 octahedra, corners with three TiO6 octahedra, an edgeedge with one CrO6 octahedra, edges with three TiO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–9°. There are a spread of Li–O bond distances ranging from 2.06–2.26 Å. In the twentieth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with two TiO6 octahedra, corners with two CrO6 octahedra, an edgeedge with one CrO6 octahedra, edges with three TiO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–8°. There are a spread of Li–O bond distances ranging from 2.08–2.23 Å. In the twenty-first Li site, Li is bonded to six O atoms to form LiO6 octahedra that share a cornercorner with one CrO6 octahedra, corners with two LiO6 octahedra, corners with three TiO6 octahedra, edges with four TiO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–8°. There are a spread of Li–O bond distances ranging from 2.08–2.22 Å. In the twenty-second Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent CrO6 octahedra, edges with four TiO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–9°. There are a spread of Li–O bond distances ranging from 2.10–2.14 Å. In the twenty-third Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with four TiO6 octahedra, an edgeedge with one CrO6 octahedra, edges with three TiO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–9°. There are a spread of Li–O bond distances ranging from 2.09–2.23 Å. In the twenty-fourth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with four TiO6 octahedra, an edgeedge with one CrO6 octahedra, edges with three TiO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–8°. There are a spread of Li–O bond distances ranging from 2.05–2.20 Å. In the twenty-fifth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–9°. There are a spread of Li–O bond distances ranging from 2.11–2.14 Å. In the twenty-sixth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with four TiO6 octahedra, edges with two TiO6 octahedra, edges with two CrO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–9°. There are a spread of Li–O bond distances ranging from 2.10–2.22 Å. In the twenty-seventh Li site, Li is bonded to six O atoms to form LiO6 octahedra that share a cornercorner with one CrO6 octahedra, corners with two LiO6 octahedra, corners with three TiO6 octahedra, edges with four TiO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–8°. There are a spread of Li–O bond distances ranging from 2.08–2.22 Å. In the twenty-eighth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share a cornercorner with one CrO6 octahedra, corners with two LiO6 octahedra, corners with three TiO6 octahedra, edges with four TiO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–8°. There are a spread of Li–O bond distances ranging from 2.10–2.22 Å. In the twenty-ninth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, an edgeedge with one CrO6 octahedra, edges with five TiO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–9°. There are a spread of Li–O bond distances ranging from 2.10–2.16 Å. In the thirtieth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share a cornercorner with one CrO6 octahedra, corners with two LiO6 octahedra, corners with three TiO6 octahedra, an edgeedge with one CrO6 octahedra, edges with three TiO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–9°. There are a spread of Li–O bond distances ranging from 2.05–2.20 Å. In the thirty-first Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with four TiO6 octahedra, an edgeedge with one CrO6 octahedra, edges with three TiO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–9°. There are a spread of Li–O bond distances ranging from 2.10–2.22

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 Li32Ti13Cr3O48 by Materials Project

Li32Ti13Cr3O48 is beta Polonium-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are thirty-two inequivalent Li sites. In the first Li site, Li is bonded to six O atoms to form LiO6 octahedra that share a cornercorner with one CrO6 octahedra, corners with two LiO6 octahedra, corners with three TiO6 octahedra, edges with four TiO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–9°. There are a spread of Li–O bond distances ranging from 2.09–2.28 Å. In the second Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent CrO6 octahedra, edges with four TiO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–10°. There are a spread of Li–O bond distances ranging from 2.10–2.14 Å. In the third Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with four TiO6 octahedra, an edgeedge with one CrO6 octahedra, edges with three TiO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–9°. There are a spread of Li–O bond distances ranging from 2.05–2.21 Å. In the fourth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with four TiO6 octahedra, an edgeedge with one CrO6 octahedra, edges with three TiO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–9°. There are a spread of Li–O bond distances ranging from 2.10–2.22 Å. In the fifth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with four TiO6 octahedra, edges with two TiO6 octahedra, edges with two CrO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–9°. There are a spread of Li–O bond distances ranging from 2.11–2.21 Å. In the sixth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with two TiO6 octahedra, corners with two CrO6 octahedra, an edgeedge with one CrO6 octahedra, edges with three TiO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–9°. There are a spread of Li–O bond distances ranging from 2.09–2.24 Å. In the seventh Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, an edgeedge with one CrO6 octahedra, edges with five TiO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–9°. There are a spread of Li–O bond distances ranging from 2.12–2.16 Å. In the eighth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with two TiO6 octahedra, corners with two CrO6 octahedra, an edgeedge with one CrO6 octahedra, edges with three TiO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–8°. There are a spread of Li–O bond distances ranging from 2.04–2.24 Å. In the ninth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with two TiO6 octahedra, corners with two CrO6 octahedra, edges with four TiO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–8°. There are a spread of Li–O bond distances ranging from 2.08–2.27 Å. In the tenth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–9°. There are a spread of Li–O bond distances ranging from 2.11–2.14 Å. In the eleventh Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with four TiO6 octahedra, edges with four TiO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–8°. There are a spread of Li–O bond distances ranging from 2.09–2.22 Å. In the twelfth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with four TiO6 octahedra, an edgeedge with one CrO6 octahedra, edges with three TiO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–10°. There are a spread of Li–O bond distances ranging from 2.09–2.23 Å. In the thirteenth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent CrO6 octahedra, edges with four TiO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–10°. There are a spread of Li–O bond distances ranging from 2.10–2.14 Å. In the fourteenth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with four TiO6 octahedra, edges with four TiO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–8°. There are a spread of Li–O bond distances ranging from 2.05–2.21 Å. In the fifteenth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with four TiO6 octahedra, an edgeedge with one CrO6 octahedra, edges with three TiO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–9°. There are a spread of Li–O bond distances ranging from 2.11–2.22 Å. In the sixteenth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with two TiO6 octahedra, corners with two CrO6 octahedra, an edgeedge with one CrO6 octahedra, edges with three TiO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–9°. There are a spread of Li–O bond distances ranging from 2.09–2.23 Å. In the seventeenth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, an edgeedge with one CrO6 octahedra, edges with five TiO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–9°. There are a spread of Li–O bond distances ranging from 2.12–2.15 Å. In the eighteenth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with two TiO6 octahedra, corners with two CrO6 octahedra, an edgeedge with one CrO6 octahedra, edges with three TiO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–8°. There are a spread of Li–O bond distances ranging from 2.04–2.25 Å. In the nineteenth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share a cornercorner with one CrO6 octahedra, corners with two LiO6 octahedra, corners with three TiO6 octahedra, edges with four TiO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–8°. There are a spread of Li–O bond distances ranging from 2.05–2.20 Å. In the twentieth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with two TiO6 octahedra, corners with two CrO6 octahedra, edges with four TiO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–9°. There are a spread of Li–O bond distances ranging from 2.08–2.27 Å. In the twenty-first Li site, Li is bonded to six O atoms to form LiO6 octahedra that share a cornercorner with one CrO6 octahedra, corners with two LiO6 octahedra, corners with three TiO6 octahedra, edges with four TiO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–9°. There are a spread of Li–O bond distances ranging from 2.08–2.26 Å. In the twenty-second Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent CrO6 octahedra, edges with four TiO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–10°. There are a spread of Li–O bond distances ranging from 2.09–2.14 Å. In the twenty-third Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with four TiO6 octahedra, an edgeedge with one CrO6 octahedra, edges with three TiO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–10°. There are a spread of Li–O bond distances ranging from 2.10–2.23 Å. In the twenty-fourth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with four TiO6 octahedra, an edgeedge with one CrO6 octahedra, edges with three TiO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–9°. There are a spread of Li–O bond distances ranging from 2.05–2.22 Å. In the twenty-fifth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–9°. There are a spread of Li–O bond distances ranging from 2.11–2.14 Å. In the twenty-sixth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with four TiO6 octahedra, edges with two TiO6 octahedra, edges with two CrO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–9°. There are a spread of Li–O bond distances ranging from 2.10–2.22 Å. In the twenty-seventh Li site, Li is bonded to six O atoms to form LiO6 octahedra that share a cornercorner with one CrO6 octahedra, corners with two LiO6 octahedra, corners with three TiO6 octahedra, edges with four TiO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–8°. There are a spread of Li–O bond distances ranging from 2.10–2.22 Å. In the twenty-eighth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share a cornercorner with one CrO6 octahedra, corners with two LiO6 octahedra, corners with three TiO6 octahedra, an edgeedge with one CrO6 octahedra, edges with three TiO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–9°. There are a spread of Li–O bond distances ranging from 2.09–2.24 Å. In the twenty-ninth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, an edgeedge with one CrO6 octahedra, edges with five TiO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–9°. There are a spread of Li–O bond distances ranging from 2.12–2.16 Å. In the thirtieth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share a cornercorner with one CrO6 octahedra, corners with two LiO6 octahedra, corners with three TiO6 octahedra, an edgeedge with one CrO6 octahedra, edges with three TiO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–8°. There are a spread of Li–O bond distances ranging from 2.05–2.24 Å. In the thirty-first Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with four TiO6 octahedra, an edgeedge with one CrO6 octahedra, edges with three TiO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–10°. There are a spread of Li–O bond distances ranging from 2.10–2.24 Å.

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↗