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Materials Data on KMg30BO31 by Materials Project

KMg30BO31 crystallizes in the orthorhombic Pmm2 space group. The structure is three-dimensional. K is bonded in a 3-coordinate geometry to three O atoms. There are two shorter (2.38 Å) and one longer (2.42 Å) K–O bond lengths. There are sixteen inequivalent Mg sites. In the first Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with four MgO6 octahedra, edges with ten MgO6 octahedra, and edges with two equivalent MgO5 square pyramids. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of Mg–O bond distances ranging from 2.01–2.19 Å. In the second 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 0–1°. There are a spread of Mg–O bond distances ranging from 2.00–2.21 Å. In the third Mg site, Mg is bonded to five O atoms to form MgO5 square pyramids that share corners with four MgO6 octahedra, corners with four MgO5 square pyramids, and edges with eight MgO6 octahedra. The corner-sharing octahedra tilt angles range from 2–3°. There are a spread of Mg–O bond distances ranging from 2.06–2.24 Å. In the fourth 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 2°. There are a spread of Mg–O bond distances ranging from 1.97–2.22 Å. In the fifth 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 2.10–2.15 Å. In the sixth 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 0–2°. There are a spread of Mg–O bond distances ranging from 2.09–2.20 Å. In the seventh Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, edges with eight MgO6 octahedra, and edges with two MgO5 square pyramids. The corner-sharing octahedra tilt angles range from 3–34°. There are a spread of Mg–O bond distances ranging from 2.05–2.40 Å. In the eighth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, edges with nine MgO6 octahedra, and edges with three MgO5 square pyramids. The corner-sharing octahedra tilt angles range from 0–4°. There are a spread of Mg–O bond distances ranging from 2.10–2.20 Å. In the ninth Mg site, Mg is bonded to five O atoms to form distorted MgO5 square pyramids that share corners with four MgO6 octahedra, corners with four MgO5 square pyramids, and edges with seven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 1–35°. There are a spread of Mg–O bond distances ranging from 1.97–2.38 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 0–1°. There are a spread of Mg–O bond distances ranging from 2.09–2.21 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 an edgeedge with one MgO5 square pyramid. The corner-sharing octahedra tilt angles range from 3–9°. There are a spread of Mg–O bond distances ranging from 2.04–2.26 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 0–3°. There are a spread of Mg–O bond distances ranging from 2.09–2.22 Å. In the thirteenth Mg site, Mg is bonded to five O atoms to form MgO5 square pyramids that share corners with four MgO6 octahedra, corners with four MgO5 square pyramids, and edges with eight MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. There are a spread of Mg–O bond distances ranging from 2.11–2.16 Å. In the fourteenth 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 2–14°. There are a spread of Mg–O bond distances ranging from 2.09–2.25 Å. In the fifteenth 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 an edgeedge with one MgO5 square pyramid. The corner-sharing octahedra tilt angles range from 2–8°. There are a spread of Mg–O bond distances ranging from 2.11–2.21 Å. In the sixteenth 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 2–9°. There are a spread of Mg–O bond distances ranging from 2.08–2.31 Å. B is bonded in a distorted trigonal planar geometry to three O atoms. There is two shorter (1.44 Å) and one longer (1.47 Å) B–O bond length. There are seventeen inequivalent O sites. In the first O site, O is bonded to five Mg atoms to form OMg5 square pyramids that share corners with three OMg6 octahedra, corners with two equivalent OMg5 square pyramids, and edges with eight OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–9°. In the second 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 third 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 0–1°. In the fourth O site, O is bonded to one K and five Mg atoms to form OKMg5 octahedra that share corners with four OMg5B octahedra and edges with ten OMg6 octahedra. The corner-sharing octahedra tilt angles range from 2–5°. In the fifth O site, O is bonded to five Mg and one B atom to form distorted OMg5B octahedra that share corners with four OKMg5 octahedra, corners with three OMg5 square pyramids, and edges with eight OMg6 octahedra. The corner-sharing octahedra tilt angles range from 1–2°. In the sixth 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 0–5°. In the seventh O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OMg6 octahedra, edges with ten OMg6 octahedra, and edges with two equivalent OMg5 square pyramids. 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 two OMg5 square pyramids. The corner-sharing octahedra tilt angles range from 1–9°. 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 ten OKMg5 octahedra, and an edgeedge with one OMg5 square pyramid. The corner-sharing octahedra tilt angles range from 1–7°. In the tenth O site, O is bonded in a distorted single-bond geometry to four Mg and one B atom. In the eleventh O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with four OMg6 octahedra, edges with ten OMg6 octahedra, and edges with two equivalent OMg5 square pyramids. The corner-sharing octahedra tilt angles range from 0–1°. In the twelfth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with four OMg6 octahedra, edges with ten OKMg5 octahedra, and an edgeedge with one OMg5 square pyramid. The corner-sharing octahedra tilt angles range from 0–6°. 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 one K and five Mg atoms to form OKMg5 octahedra that share corners with four OMg6 octahedra, corners with two equivalent OMg5 square pyramids, and edges with nine OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. In the fifteenth O site, O is bonded to five Mg atoms to form OMg5 square pyramids that share corners with five OMg5B octahedra, corners with two OMg5 square pyramids, and edges with eight OMg6 octahedra. The corner-sharing octahedra tilt angles range from 1–91°. In the sixteenth 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 0–5°. In the seventeenth 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 eleven OMg6 octahedra, and an edgeedge with one OMg5 square pyramid. The corner-sharing octahedra tilt angles range from 0–4°.

36 MATERIALS SCIENCE↗

Materials Data on CsMg30BO31 by Materials Project

CsMg30BO31 crystallizes in the orthorhombic Pmm2 space group. The structure is three-dimensional. Cs is bonded in a 5-coordinate geometry to five O atoms. There are a spread of Cs–O bond distances ranging from 2.52–2.90 Å. There are sixteen inequivalent Mg sites. In the first Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with four MgO6 octahedra, edges with ten MgO6 octahedra, and edges with two equivalent MgO5 square pyramids. The corner-sharing octahedral tilt angles are 0°. There are a spread of Mg–O bond distances ranging from 1.95–2.24 Å. In the second 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 2.01–2.22 Å. In the third Mg site, Mg is bonded to five O atoms to form MgO5 square pyramids that share corners with four MgO6 octahedra, corners with four MgO5 square pyramids, and edges with eight MgO6 octahedra. The corner-sharing octahedra tilt angles range from 3–4°. There are a spread of Mg–O bond distances ranging from 2.01–2.33 Å. In the fourth 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 1°. There are a spread of Mg–O bond distances ranging from 1.98–2.24 Å. In the fifth 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 2.08–2.13 Å. In the sixth Mg site, Mg is bonded to six O atoms to form a mixture of edge and corner-sharing MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of Mg–O bond distances ranging from 2.10–2.22 Å. In the seventh Mg site, Mg is bonded to six O atoms to form distorted MgO6 octahedra that share corners with six MgO6 octahedra, edges with eight MgO6 octahedra, and edges with two MgO5 square pyramids. The corner-sharing octahedra tilt angles range from 3–33°. There are a spread of Mg–O bond distances ranging from 2.04–2.48 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 1–6°. There are a spread of Mg–O bond distances ranging from 2.10–2.24 Å. In the ninth Mg site, Mg is bonded to five O atoms to form distorted MgO5 square pyramids that share corners with four MgO6 octahedra, corners with four MgO5 square pyramids, and edges with seven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–35°. There are a spread of Mg–O bond distances ranging from 1.95–2.43 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 2.08–2.24 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 an edgeedge with one MgO5 square pyramid. The corner-sharing octahedra tilt angles range from 4–10°. There are a spread of Mg–O bond distances ranging from 2.03–2.30 Å. In the twelfth Mg site, Mg is bonded to six O atoms to form a mixture of edge and corner-sharing MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. There are a spread of Mg–O bond distances ranging from 2.10–2.25 Å. In the thirteenth Mg site, Mg is bonded to five O atoms to form MgO5 square pyramids that share corners with four MgO6 octahedra, corners with four MgO5 square pyramids, and edges with eight MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–10°. There are a spread of Mg–O bond distances ranging from 2.08–2.24 Å. In the fourteenth 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 1–16°. There are a spread of Mg–O bond distances ranging from 2.10–2.29 Å. In the fifteenth 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 an edgeedge with one MgO5 square pyramid. The corner-sharing octahedra tilt angles range from 1–11°. There are a spread of Mg–O bond distances ranging from 2.11–2.28 Å. In the sixteenth 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 1–10°. There are a spread of Mg–O bond distances ranging from 2.11–2.35 Å. B is bonded in a trigonal planar geometry to three O atoms. There is two shorter (1.42 Å) and one longer (1.47 Å) B–O bond length. There are seventeen inequivalent O sites. In the first O site, O is bonded to five Mg atoms to form OMg5 square pyramids that share corners with three OMg6 octahedra, corners with two equivalent OMg5 square pyramids, and edges with eight OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–10°. In the second O site, O is bonded to six Mg atoms to form a mixture of edge and corner-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. In the third 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 fourth O site, O is bonded to one Cs and five Mg atoms to form OCsMg5 octahedra that share corners with four OMg5B octahedra and edges with ten OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. In the fifth O site, O is bonded to five Mg and one B atom to form distorted OMg5B octahedra that share corners with four OCsMg5 octahedra, corners with three OMg5 square pyramids, and edges with eight OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. In the sixth O site, O is bonded to six Mg atoms to form a mixture of edge and corner-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. In the seventh O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OMg6 octahedra, edges with ten OMg6 octahedra, and edges with two equivalent OMg5 square pyramids. 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 two OMg5 square pyramids. The corner-sharing octahedra tilt angles range from 2–12°. 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 ten OCsMg5 octahedra, and an edgeedge with one OMg5 square pyramid. The corner-sharing octahedra tilt angles range from 2–10°. In the tenth O site, O is bonded in a distorted single-bond geometry to one Cs, four Mg, and one B atom. In the eleventh O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with four OMg6 octahedra, edges with ten OMg6 octahedra, and edges with two equivalent OMg5 square pyramids. The corner-sharing octahedral tilt angles are 1°. In the twelfth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with four OMg6 octahedra, edges with ten OCsMg5 octahedra, and an edgeedge with one OMg5 square pyramid. The corner-sharing octahedra tilt angles range from 0–9°. In the thirteenth O site, O is bonded to six Mg atoms to form a mixture of edge and corner-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 1–2°. In the fourteenth O site, O is bonded to one Cs and five Mg atoms to form OCsMg5 octahedra that share corners with four OMg6 octahedra, corners with two equivalent OMg5 square pyramids, and edges with nine OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–11°. In the fifteenth O site, O is bonded to five Mg atoms to form OMg5 square pyramids that share corners with five OMg5B octahedra, corners with two OMg5 square pyramids, and edges with eight OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–90°. In the sixteenth 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 0–8°. In the seventeenth 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 eleven OMg6 octahedra, and an edgeedge with one OMg5 square pyramid. The corner-sharing octahedra tilt angles range from 1–4°.

36 MATERIALS SCIENCE↗

Materials Data on SrTi3Al8O19 by Materials Project

SrTi3Al8O19 crystallizes in the monoclinic C2 space group. The structure is three-dimensional. there are two inequivalent Sr2+ sites. In the first Sr2+ site, Sr2+ is bonded to twelve O2- atoms to form distorted SrO12 cuboctahedra that share corners with two equivalent SrO12 cuboctahedra, corners with five AlO6 octahedra, a cornercorner with one AlO4 tetrahedra, an edgeedge with one TiO6 octahedra, edges with two AlO6 octahedra, an edgeedge with one AlO4 tetrahedra, faces with two SrO12 cuboctahedra, a faceface with one AlO6 octahedra, and faces with five TiO6 octahedra. The corner-sharing octahedra tilt angles range from 44–53°. There are a spread of Sr–O bond distances ranging from 2.63–3.04 Å. In the second Sr2+ site, Sr2+ is bonded to twelve O2- atoms to form distorted SrO12 cuboctahedra that share corners with two equivalent SrO12 cuboctahedra, corners with five AlO6 octahedra, a cornercorner with one AlO4 tetrahedra, edges with three AlO6 octahedra, an edgeedge with one AlO4 tetrahedra, faces with two SrO12 cuboctahedra, a faceface with one AlO6 octahedra, and faces with five TiO6 octahedra. The corner-sharing octahedra tilt angles range from 45–53°. There are a spread of Sr–O bond distances ranging from 2.65–3.05 Å. There are seven inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one TiO6 octahedra, corners with four AlO6 octahedra, corners with three AlO4 tetrahedra, and edges with three AlO6 octahedra. The corner-sharing octahedra tilt angles range from 46–53°. There are a spread of Ti–O bond distances ranging from 1.86–2.16 Å. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one TiO6 octahedra, corners with four AlO6 octahedra, corners with three AlO4 tetrahedra, an edgeedge with one TiO6 octahedra, and edges with two AlO6 octahedra. The corner-sharing octahedra tilt angles range from 47–51°. There are a spread of Ti–O bond distances ranging from 1.85–2.16 Å. In the third Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with three AlO6 octahedra, corners with four TiO6 octahedra, a cornercorner with one AlO4 tetrahedra, an edgeedge with one AlO6 octahedra, and faces with three SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 13–54°. There are a spread of Ti–O bond distances ranging from 1.90–2.19 Å. In the fourth Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with three AlO6 octahedra, corners with four TiO6 octahedra, a cornercorner with one AlO4 tetrahedra, an edgeedge with one AlO6 octahedra, and faces with three SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 14–54°. There are a spread of Ti–O bond distances ranging from 1.86–2.25 Å. In the fifth Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with two equivalent AlO6 octahedra, corners with four TiO6 octahedra, edges with three AlO6 octahedra, and faces with four SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 13–19°. There are a spread of Ti–O bond distances ranging from 1.86–2.19 Å. In the sixth Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with two equivalent AlO6 octahedra, corners with four TiO6 octahedra, edges with three AlO6 octahedra, and faces with four SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 14–17°. There are a spread of Ti–O bond distances ranging from 1.86–2.19 Å. In the seventh Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two TiO6 octahedra, corners with two AlO6 octahedra, corners with two AlO4 tetrahedra, an edgeedge with one SrO12 cuboctahedra, an edgeedge with one TiO6 octahedra, and edges with three AlO6 octahedra. The corner-sharing octahedra tilt angles range from 20–55°. There are a spread of Ti–O bond distances ranging from 1.88–2.07 Å. There are seventeen inequivalent Al3+ sites. In the first Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with two TiO6 octahedra, corners with two AlO6 octahedra, corners with three AlO4 tetrahedra, edges with four AlO6 octahedra, and a faceface with one SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 14–53°. There are a spread of Al–O bond distances ranging from 1.83–2.06 Å. In the second Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with two TiO6 octahedra, corners with two AlO6 octahedra, corners with three AlO4 tetrahedra, edges with four AlO6 octahedra, and a faceface with one SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 14–51°. There are a spread of Al–O bond distances ranging from 1.83–2.06 Å. In the third Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with three SrO12 cuboctahedra, a cornercorner with one TiO6 octahedra, corners with two AlO6 octahedra, corners with two AlO4 tetrahedra, edges with two TiO6 octahedra, and edges with three AlO6 octahedra. The corner-sharing octahedra tilt angles range from 51–52°. There are a spread of Al–O bond distances ranging from 1.82–2.14 Å. In the fourth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with three SrO12 cuboctahedra, a cornercorner with one AlO6 octahedra, corners with two TiO6 octahedra, corners with two AlO4 tetrahedra, edges with two TiO6 octahedra, and edges with three AlO6 octahedra. The corner-sharing octahedra tilt angles range from 50–55°. There are a spread of Al–O bond distances ranging from 1.86–2.06 Å. In the fifth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share a cornercorner with one SrO12 cuboctahedra, a cornercorner with one AlO6 octahedra, corners with two TiO6 octahedra, corners with four AlO4 tetrahedra, and edges with four AlO6 octahedra. The corner-sharing octahedra tilt angles range from 49–56°. There are a spread of Al–O bond distances ranging from 1.86–2.01 Å. In the sixth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share a cornercorner with one SrO12 cuboctahedra, a cornercorner with one AlO6 octahedra, corners with two TiO6 octahedra, corners with four AlO4 tetrahedra, and edges with four AlO6 octahedra. The corner-sharing octahedra tilt angles range from 49–56°. There are a spread of Al–O bond distances ranging from 1.85–2.02 Å. In the seventh Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share a cornercorner with one TiO6 octahedra, corners with two AlO6 octahedra, corners with two equivalent AlO4 tetrahedra, an edgeedge with one SrO12 cuboctahedra, edges with two TiO6 octahedra, and edges with three AlO6 octahedra. The corner-sharing octahedra tilt angles range from 50–52°. There are a spread of Al–O bond distances ranging from 1.86–2.06 Å. In the eighth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share a cornercorner with one TiO6 octahedra, corners with two AlO6 octahedra, corners with two equivalent AlO4 tetrahedra, an edgeedge with one SrO12 cuboctahedra, edges with two TiO6 octahedra, and edges with three AlO6 octahedra. The corner-sharing octahedra tilt angles range from 52–54°. There are a spread of Al–O bond distances ranging from 1.81–2.04 Å. In the ninth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share a cornercorner with one SrO12 cuboctahedra, a cornercorner with one TiO6 octahedra, corners with eight AlO6 octahedra, and an edgeedge with one SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 49–62°. There are a spread of Al–O bond distances ranging from 1.76–1.82 Å. In the tenth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share a cornercorner with one SrO12 cuboctahedra, a cornercorner with one TiO6 octahedra, corners with eight AlO6 octahedra, and an edgeedge with one SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 49–63°. There are a spread of Al–O bond distances ranging from 1.76–1.82 Å. In the eleventh Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with two equivalent SrO12 cuboctahedra, corners with four AlO4 tetrahedra, an edgeedge with one TiO6 octahedra, and edges with six AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.90–1.92 Å. In the twelfth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with two equivalent SrO12 cuboctahedra, corners with four AlO4 tetrahedra, an edgeedge with one TiO6 octahedra, and edges with six AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.90–1.92 Å. In the thirteenth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with four TiO6 octahedra and corners with seven AlO6 octahedra. The corner-sharing octahedra tilt angles range from 54–65°. There are a spread of Al–O bond distances ranging from 1.78–1.83 Å. In the fourteenth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with four TiO6 octahedra and corners with seven AlO6 octahedra. The corner-sharing octahedra tilt angles range from 53–63°. There are a spread of Al–O bond distances ranging from 1.77–1.83 Å. In the fifteenth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with two TiO6 octahedra, corners with two AlO6 octahedra, a cornercorner with one AlO4 tetrahedra, an edgeedge with one SrO12 cuboctahedra, an edgeedge with one TiO6 octahedra, and edges with four AlO6 octahedra. The corner-sharing octahedra tilt angles range from 20–56°. There are a spread of Al–O bond distances ranging from 1.85–2.02 Å. In the sixteenth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share a cornercorner with one TiO6 octahedra, corners with three AlO6 octahedra, a cornercorner with one AlO4 tetrahedra, an edgeedge with one SrO12 cuboctahedra, edges with two TiO6 octahedra, and edges with three AlO6 octahedra. The corner-sharing octahedra tilt angles range from 21–56°. There are a spread of Al–O bond distances ranging from 1.84–2.05 Å. In the seventeenth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with two TiO6 octahedra, corners with two AlO6 octahedra, corners with two AlO4 tetrahedra, an edgeedge with one SrO12 cuboctahedra, an edgeedge with one TiO6 octahedra, and edges with three AlO6 octahedra. The corner-sharing octahedra tilt angles range from 21–52°. There are a spread of Al–O bond distances ranging from 1.86–2.01 Å. There are thirty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Al3+ atoms. In the second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Al3+ atoms. In the third O2- site, O2- is bonded in a 3-coordinate geometry to two Sr2+, two Ti4+, and one Al3+ atom. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to two Sr2+, two Ti4+, and one Al3+ atom. In the fifth O2- site, O2- is bonded in a 3-coordinate geometry to one Sr2+ and three Al3+ atoms. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to one Sr2+ and three Al3+ atoms. In the seventh O2- site, O2- is bonded in a trigonal planar geometry to one Ti4+ and two Al3+ atoms. In the eighth O2- site, O2- is bonded in a trigonal planar geometry to one Ti4+ and two Al3+ atoms. In the ninth O2- site, O2- is bonded in a 3-coordinate geometry to one Sr2+, two Ti4+, and one Al3+ atom. In the tenth O2- site, O2- is bonded in a 4-coordinate geometry to one Sr2+, one Ti4+, and two Al3+ atoms. In the eleventh O2- site, O2- is bonded in a 3-coordinate geometry to one Sr2+

36 MATERIALS SCIENCE↗

Materials Data on Na3Mg5Si8(HO8)3 by Materials Project

Na3Mg5Si8(HO8)3 is Esseneite-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are nine inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded in a 2-coordinate geometry to seven O2- atoms. There are a spread of Na–O bond distances ranging from 2.29–2.69 Å. In the second Na1+ site, Na1+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Na–O bond distances ranging from 2.35–2.78 Å. In the third Na1+ site, Na1+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Na–O bond distances ranging from 2.35–2.77 Å. In the fourth Na1+ site, Na1+ is bonded to seven O2- atoms to form distorted NaO7 pentagonal bipyramids that share corners with four SiO4 tetrahedra, edges with three MgO6 octahedra, and edges with three SiO4 tetrahedra. There are a spread of Na–O bond distances ranging from 2.35–2.77 Å. In the fifth Na1+ site, Na1+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Na–O bond distances ranging from 2.49–2.97 Å. In the sixth Na1+ site, Na1+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Na–O bond distances ranging from 2.48–2.95 Å. In the seventh Na1+ site, Na1+ is bonded in a 2-coordinate geometry to one H1+ and seven O2- atoms. The Na–H bond length is 2.54 Å. There are a spread of Na–O bond distances ranging from 2.30–2.78 Å. In the eighth Na1+ site, Na1+ is bonded in a 2-coordinate geometry to one H1+ and seven O2- atoms. The Na–H bond length is 2.54 Å. There are a spread of Na–O bond distances ranging from 2.30–2.77 Å. In the ninth Na1+ site, Na1+ is bonded in a 6-coordinate geometry to eight O2- atoms. There are a spread of Na–O bond distances ranging from 2.47–3.13 Å. There are fifteen inequivalent Mg2+ sites. In the first Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with four SiO4 tetrahedra and edges with five MgO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.07–2.13 Å. In the second Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with four SiO4 tetrahedra and edges with five MgO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.07–2.13 Å. In the third Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with four SiO4 tetrahedra and edges with five MgO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.06–2.12 Å. In the fourth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with four SiO4 tetrahedra, edges with five MgO6 octahedra, and an edgeedge with one NaO7 pentagonal bipyramid. There are a spread of Mg–O bond distances ranging from 2.06–2.12 Å. In the fifth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with four SiO4 tetrahedra and edges with six MgO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.05–2.13 Å. In the sixth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with four SiO4 tetrahedra and edges with six MgO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.05–2.13 Å. In the seventh Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six SiO4 tetrahedra and edges with three MgO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.00–2.26 Å. In the eighth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six SiO4 tetrahedra and edges with three MgO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.00–2.26 Å. In the ninth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with four SiO4 tetrahedra and edges with five MgO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.08–2.12 Å. In the tenth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with four SiO4 tetrahedra and edges with five MgO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.07–2.13 Å. In the eleventh Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with four SiO4 tetrahedra and edges with six MgO6 octahedra. There are two shorter (2.06 Å) and four longer (2.12 Å) Mg–O bond lengths. In the twelfth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six SiO4 tetrahedra and edges with three MgO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.00–2.26 Å. In the thirteenth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six SiO4 tetrahedra and edges with three MgO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.02–2.28 Å. In the fourteenth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six SiO4 tetrahedra and edges with three MgO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.02–2.27 Å. In the fifteenth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six SiO4 tetrahedra, edges with three MgO6 octahedra, and edges with two equivalent NaO7 pentagonal bipyramids. There are a spread of Mg–O bond distances ranging from 2.02–2.28 Å. There are twenty-four inequivalent Si4+ sites. In the first Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with three MgO6 octahedra and corners with three SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 59–61°. There are a spread of Si–O bond distances ranging from 1.61–1.67 Å. In the second Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with three MgO6 octahedra and corners with three SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 59–61°. There are a spread of Si–O bond distances ranging from 1.61–1.67 Å. In the third Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with three MgO6 octahedra and corners with three SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 59–60°. There are a spread of Si–O bond distances ranging from 1.62–1.66 Å. In the fourth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with three MgO6 octahedra and corners with three SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 60°. There are a spread of Si–O bond distances ranging from 1.61–1.66 Å. In the fifth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with three MgO6 octahedra and corners with two equivalent SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 34–60°. There are a spread of Si–O bond distances ranging from 1.60–1.69 Å. In the sixth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with three MgO6 octahedra and corners with two equivalent SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 33–57°. There are a spread of Si–O bond distances ranging from 1.59–1.70 Å. In the seventh Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with three MgO6 octahedra and corners with two equivalent SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 38–59°. There are a spread of Si–O bond distances ranging from 1.60–1.69 Å. In the eighth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with three MgO6 octahedra, a cornercorner with one NaO7 pentagonal bipyramid, and corners with two equivalent SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 38–59°. There are a spread of Si–O bond distances ranging from 1.60–1.69 Å. In the ninth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with three MgO6 octahedra and corners with three SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 56–60°. There are a spread of Si–O bond distances ranging from 1.62–1.65 Å. In the tenth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with three MgO6 octahedra, a cornercorner with one NaO7 pentagonal bipyramid, and corners with three SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 56–60°. There are a spread of Si–O bond distances ranging from 1.62–1.66 Å. In the eleventh Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with three MgO6 octahedra and corners with three SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 57–60°. There are a spread of Si–O bond distances ranging from 1.61–1.66 Å. In the twelfth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with three MgO6 octahedra and corners with three SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 57–60°. There are a spread of Si–O bond distances ranging from 1.61–1.66 Å. In the thirteenth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with three MgO6 octahedra and corners with two equivalent SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 24–56°. There are a spread of Si–O bond distances ranging from 1.60–1.71 Å. In the fourteenth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with three MgO6 octahedra, a cornercorner with one NaO7 pentagonal bipyramid, and corners with two equivalent SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 24–56°. There are a spread of Si–O bond distances ranging from 1.60–1.71 Å. In the fifteenth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with three MgO6 octahedra and corners with two equivalent SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 37–59°. There are a spread of Si–O bond distances ranging from 1.60–1.71 Å. In the sixteenth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with three MgO6 octahedra, a cornercorner with one NaO7 pentagonal bipyramid, corners with two equivalent SiO4 tetrahedra, and an edgeedge with one NaO7 pentagonal bipyramid. The corner-sharing octahedra tilt angles range from 37–59°. There are a spread of Si–O bond distances ranging from 1.60–1.71 Å. In the seventeenth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with three MgO6 octahedra and corners with three SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 56–60°. There are a spread of Si–O bond distances ranging from 1.62–1.65 Å. In the eighteenth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with three MgO6 octahedra and corners with three SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 59–60°. There are a spread of Si–O bond distances ranging from 1.61–1.65 Å. In the nineteenth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with three MgO6 octahedra and corners with two equivalent SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 34–58°. There are a spread of Si–O bond distances ranging from 1.59–1.71 Å. In the twentieth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with three MgO6 octahedra and corners with two equivalent SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 28–56°. There are a spread of Si–O bond distances ranging from 1.60–1.72 Å. In the twenty-first Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with three MgO6 octahedra and corners with two equivalent SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 30–57°. There are a spread of Si–O bond distances ranging from 1.6

36 MATERIALS SCIENCE↗

Materials Data on Li6V3P8O29 by Materials Project

Li6V3P8O29 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twelve inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with four PO4 tetrahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.88–2.22 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with four PO4 tetrahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.93–2.24 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three VO6 octahedra and corners with four PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 65–68°. There are a spread of Li–O bond distances ranging from 1.87–2.19 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with four PO4 tetrahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.91–2.22 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with four PO4 tetrahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.96–2.19 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with four PO4 tetrahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.88–2.23 Å. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with four PO4 tetrahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.95–2.27 Å. In the eighth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with four PO4 tetrahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.93–2.27 Å. In the ninth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three VO6 octahedra and corners with four PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 65–68°. There are a spread of Li–O bond distances ranging from 1.86–2.21 Å. In the tenth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with four PO4 tetrahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.91–2.22 Å. In the eleventh Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with four PO4 tetrahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.96–2.19 Å. In the twelfth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with four PO4 tetrahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.94–2.25 Å. There are six inequivalent V4+ sites. In the first V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and edges with two LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.89–2.01 Å. In the second V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two LiO4 tetrahedra, corners with six PO4 tetrahedra, and edges with two LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.90–2.03 Å. In the third V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two LiO4 tetrahedra and corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.89–2.01 Å. In the fourth V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and edges with two LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.87–2.00 Å. In the fifth V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and edges with two LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.89–2.01 Å. In the sixth V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two LiO4 tetrahedra, corners with six PO4 tetrahedra, and edges with two LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.92–2.02 Å. There are sixteen inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 45–46°. There are a spread of P–O bond distances ranging from 1.50–1.61 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 41–44°. There are a spread of P–O bond distances ranging from 1.48–1.62 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 40–46°. There are a spread of P–O bond distances ranging from 1.51–1.62 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra and corners with four LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 36–37°. There are a spread of P–O bond distances ranging from 1.51–1.58 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 24–33°. There are a spread of P–O bond distances ranging from 1.48–1.60 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with three LiO4 tetrahedra. The corner-sharing octahedral tilt angles are 46°. There are a spread of P–O bond distances ranging from 1.48–1.61 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 45–46°. There are a spread of P–O bond distances ranging from 1.50–1.61 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with four LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 46–49°. There are a spread of P–O bond distances ranging from 1.50–1.61 Å. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 41–44°. There are a spread of P–O bond distances ranging from 1.48–1.61 Å. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 40–46°. There are a spread of P–O bond distances ranging from 1.50–1.61 Å. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 40–46°. There are a spread of P–O bond distances ranging from 1.51–1.62 Å. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra and corners with four LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 36–37°. There are a spread of P–O bond distances ranging from 1.51–1.58 Å. In the thirteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 25–33°. There are a spread of P–O bond distances ranging from 1.48–1.60 Å. In the fourteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 45–46°. There are a spread of P–O bond distances ranging from 1.48–1.61 Å. In the fifteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with four LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 47–48°. There are a spread of P–O bond distances ranging from 1.50–1.62 Å. In the sixteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 40–46°. There are a spread of P–O bond distances ranging from 1.50–1.62 Å. There are fifty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a bent 120 degrees geometry to one Li1+ and one P5+ atom. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V4+, and one P5+ atom. In the third O2- site, O2- is bonded in a bent 120 degrees geometry to one Li1+ and one P5+ atom. In the fourth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one V4+ and one P5+ atom. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V4+, and one P5+ atom. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V4+, and one P5+ atom. In the seventh O2- site, O2- is bonded in a bent 150 degrees geometry to one V4+ and one P5+ atom. In the eighth O2- site, O2- is bonded in a trigonal planar geometry to two Li1+ and one P5+ atom. In the ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V4+, and one P5+ atom. In the tenth O2- site, O2- is bonded in a bent 150 degrees geometry to one V4+ and one P5+ atom. In the eleventh O2- site, O2- is bonded in a bent 150 degrees geometry to one V4+ and one P5+ atom. In the twelfth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V4+, and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a linear geometry to one Li1+ and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a single-bond geometry to one P5+ atom. In the fifteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V4+, and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V4+, and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V4+, and one P5+ atom. In the eighteenth O2- site, O2-

36 MATERIALS SCIENCE↗

Materials Data on Li2V3CoO8 by Materials Project

Li2V3CoO8 is Spinel-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three LiO4 tetrahedra, corners with three CoO4 tetrahedra, and edges with six VO6 octahedra. There are three shorter (2.13 Å) and three longer (2.17 Å) Li–O bond lengths. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three LiO6 octahedra and corners with nine VO6 octahedra. The corner-sharing octahedra tilt angles range from 54–66°. There are a spread of Li–O bond distances ranging from 1.98–2.01 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three LiO6 octahedra and corners with nine VO6 octahedra. The corner-sharing octahedra tilt angles range from 54–66°. There are a spread of Li–O bond distances ranging from 1.98–2.01 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three LiO4 tetrahedra, corners with three CoO4 tetrahedra, and edges with six VO6 octahedra. There are a spread of Li–O bond distances ranging from 2.12–2.17 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three LiO4 tetrahedra, corners with three CoO4 tetrahedra, and edges with six VO6 octahedra. There are a spread of Li–O bond distances ranging from 2.13–2.17 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three LiO6 octahedra and corners with nine VO6 octahedra. The corner-sharing octahedra tilt angles range from 54–66°. There is one shorter (1.98 Å) and three longer (2.00 Å) Li–O bond length. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three LiO6 octahedra and corners with nine VO6 octahedra. The corner-sharing octahedra tilt angles range from 54–66°. There is one shorter (1.98 Å) and three longer (2.00 Å) Li–O bond length. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three LiO4 tetrahedra, corners with three CoO4 tetrahedra, and edges with six VO6 octahedra. There are three shorter (2.13 Å) and three longer (2.17 Å) Li–O bond lengths. There are twelve inequivalent V4+ sites. In the first V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with three LiO4 tetrahedra, corners with three CoO4 tetrahedra, edges with two LiO6 octahedra, and edges with four VO6 octahedra. There are a spread of V–O bond distances ranging from 1.89–2.04 Å. In the second V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with three LiO4 tetrahedra, corners with three CoO4 tetrahedra, edges with two LiO6 octahedra, and edges with four VO6 octahedra. There are a spread of V–O bond distances ranging from 1.88–2.05 Å. In the third V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with three LiO4 tetrahedra, corners with three CoO4 tetrahedra, edges with two LiO6 octahedra, and edges with four VO6 octahedra. There are a spread of V–O bond distances ranging from 1.88–2.04 Å. In the fourth V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with three LiO4 tetrahedra, corners with three CoO4 tetrahedra, edges with two LiO6 octahedra, and edges with four VO6 octahedra. There are a spread of V–O bond distances ranging from 1.88–2.04 Å. In the fifth V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with three LiO4 tetrahedra, corners with three CoO4 tetrahedra, edges with two LiO6 octahedra, and edges with four VO6 octahedra. There are a spread of V–O bond distances ranging from 1.88–2.03 Å. In the sixth V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with three LiO4 tetrahedra, corners with three CoO4 tetrahedra, edges with two LiO6 octahedra, and edges with four VO6 octahedra. There are a spread of V–O bond distances ranging from 1.88–2.04 Å. In the seventh V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with three LiO4 tetrahedra, corners with three CoO4 tetrahedra, edges with two LiO6 octahedra, and edges with four VO6 octahedra. There are a spread of V–O bond distances ranging from 1.88–2.04 Å. In the eighth V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with three LiO4 tetrahedra, corners with three CoO4 tetrahedra, edges with two LiO6 octahedra, and edges with four VO6 octahedra. There are a spread of V–O bond distances ranging from 1.88–2.04 Å. In the ninth V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with three LiO4 tetrahedra, corners with three CoO4 tetrahedra, edges with two LiO6 octahedra, and edges with four VO6 octahedra. There are a spread of V–O bond distances ranging from 1.88–2.04 Å. In the tenth V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with three LiO4 tetrahedra, corners with three CoO4 tetrahedra, edges with two LiO6 octahedra, and edges with four VO6 octahedra. There are a spread of V–O bond distances ranging from 1.89–2.04 Å. In the eleventh V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with three LiO4 tetrahedra, corners with three CoO4 tetrahedra, edges with two LiO6 octahedra, and edges with four VO6 octahedra. There are a spread of V–O bond distances ranging from 1.88–2.04 Å. In the twelfth V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with three LiO4 tetrahedra, corners with three CoO4 tetrahedra, edges with two LiO6 octahedra, and edges with four VO6 octahedra. There are a spread of V–O bond distances ranging from 1.88–2.04 Å. There are four inequivalent Co2+ sites. In the first Co2+ site, Co2+ is bonded to four O2- atoms to form CoO4 tetrahedra that share corners with three LiO6 octahedra and corners with nine VO6 octahedra. The corner-sharing octahedra tilt angles range from 56–64°. There are a spread of Co–O bond distances ranging from 1.97–1.99 Å. In the second Co2+ site, Co2+ is bonded to four O2- atoms to form CoO4 tetrahedra that share corners with three LiO6 octahedra and corners with nine VO6 octahedra. The corner-sharing octahedra tilt angles range from 56–64°. There is three shorter (1.99 Å) and one longer (2.00 Å) Co–O bond length. In the third Co2+ site, Co2+ is bonded to four O2- atoms to form CoO4 tetrahedra that share corners with three LiO6 octahedra and corners with nine VO6 octahedra. The corner-sharing octahedra tilt angles range from 56–64°. There is three shorter (1.99 Å) and one longer (2.00 Å) Co–O bond length. In the fourth Co2+ site, Co2+ is bonded to four O2- atoms to form CoO4 tetrahedra that share corners with three LiO6 octahedra and corners with nine VO6 octahedra. The corner-sharing octahedra tilt angles range from 56–64°. All Co–O bond lengths are 1.98 Å. There are thirty-two inequivalent O2- sites. In the first O2- site, O2- is bonded to two Li1+ and two V4+ atoms to form distorted OLi2V2 trigonal pyramids that share a cornercorner with one OV3Co tetrahedra, corners with eleven OLiV2Co trigonal pyramids, and edges with three OLi2V2 trigonal pyramids. In the second O2- site, O2- is bonded to two Li1+ and two V4+ atoms to form distorted OLi2V2 trigonal pyramids that share corners with twelve OLiV2Co trigonal pyramids and edges with three OLi2V2 trigonal pyramids. In the third O2- site, O2- is bonded to one Li1+ and three V4+ atoms to form distorted OLiV3 trigonal pyramids that share a cornercorner with one OV3Co tetrahedra, corners with eleven OLiV2Co trigonal pyramids, and edges with three OLi2V2 trigonal pyramids. In the fourth O2- site, O2- is bonded to two Li1+ and two V4+ atoms to form distorted OLi2V2 trigonal pyramids that share a cornercorner with one OV3Co tetrahedra, corners with eleven OLiV2Co trigonal pyramids, and edges with three OLiV3 trigonal pyramids. In the fifth O2- site, O2- is bonded to one Li1+, two V4+, and one Co2+ atom to form distorted OLiV2Co trigonal pyramids that share corners with eleven OLi2V2 trigonal pyramids and edges with three OLiV2Co trigonal pyramids. In the sixth O2- site, O2- is bonded to three V4+ and one Co2+ atom to form distorted OV3Co trigonal pyramids that share corners with twelve OLi2V2 trigonal pyramids and edges with three OLiV2Co trigonal pyramids. In the seventh O2- site, O2- is bonded to one Li1+, two V4+, and one Co2+ atom to form distorted OLiV2Co trigonal pyramids that share corners with twelve OLi2V2 trigonal pyramids, an edgeedge with one OV3Co tetrahedra, and edges with two OLiV2Co trigonal pyramids. In the eighth O2- site, O2- is bonded to one Li1+, two V4+, and one Co2+ atom to form distorted OLiV2Co trigonal pyramids that share corners with twelve OLi2V2 trigonal pyramids, an edgeedge with one OV3Co tetrahedra, and edges with two OLiV2Co trigonal pyramids. In the ninth O2- site, O2- is bonded to one Li1+, two V4+, and one Co2+ atom to form distorted OLiV2Co trigonal pyramids that share a cornercorner with one OV3Co tetrahedra, corners with ten OLiV2Co trigonal pyramids, and edges with three OLiV2Co trigonal pyramids. In the tenth O2- site, O2- is bonded to one Li1+, two V4+, and one Co2+ atom to form distorted OLiV2Co trigonal pyramids that share a cornercorner with one OV3Co tetrahedra, corners with ten OLi2V2 trigonal pyramids, and edges with three OLiV2Co trigonal pyramids. In the eleventh O2- site, O2- is bonded to three V4+ and one Co2+ atom to form a mixture of distorted edge and corner-sharing OV3Co tetrahedra. In the twelfth O2- site, O2- is bonded to one Li1+, two V4+, and one Co2+ atom to form distorted OLiV2Co trigonal pyramids that share a cornercorner with one OV3Co tetrahedra, corners with eleven OLiV2Co trigonal pyramids, an edgeedge with one OV3Co tetrahedra, and edges with two OLiV2Co trigonal pyramids. In the thirteenth O2- site, O2- is bonded to two Li1+ and two V4+ atoms to form distorted OLi2V2 trigonal pyramids that share a cornercorner with one OV3Co tetrahedra, corners with eleven OLiV2Co trigonal pyramids, and edges with three OLi2V2 trigonal pyramids. In the fourteenth O2- site, O2- is bonded to one Li1+ and three V4+ atoms to form distorted OLiV3 trigonal pyramids that share corners with two OV3Co tetrahedra, corners with ten OLiV2Co trigonal pyramids, and edges with three OLi2V2 trigonal pyramids. In the fifteenth O2- site, O2- is bonded to two Li1+ and two V4+ atoms to form distorted OLi2V2 trigonal pyramids that share corners with two OV3Co tetrahedra, corners with ten OLiV2Co trigonal pyramids, and edges with two OLiV3 trigonal pyramids. In the sixteenth O2- site, O2- is bonded to two Li1+ and two V4+ atoms to form distorted OLi2V2 trigonal pyramids that share a cornercorner with one OV3Co tetrahedra, corners with eleven OLiV2Co trigonal pyramids, and edges with two OLiV3 trigonal pyramids. In the seventeenth O2- site, O2- is bonded to two Li1+ and two V4+ atoms to form distorted OLi2V2 trigonal pyramids that share a cornercorner with one OV3Co tetrahedra, corners with ten OLiV2Co trigonal pyramids, and edges with three OLi2V2 trigonal pyramids. In the eighteenth O2- site, O2- is bonded to two Li1+ and two V4+ atoms to form distorted OLi2V2 trigonal pyramids that share corners with two OV3Co tetrahedra, corners with ten OLiV2Co trigonal pyramids, and edges with three OLi2V2 trigonal pyramids. In the nineteenth O2- site, O2- is bonded to one Li1+ and three V4+ atoms to form distorted OLiV3 trigonal pyramids that share corners with two OV3Co tetrahedra, corners with ten OLiV2Co trigonal pyramids, and edges with two OLi2V2 trigonal pyramids. In the twentieth O2- site, O2- is bonded in a distorted rec

36 MATERIALS SCIENCE↗

Materials Data on Li12Mo5O17 by Materials Project

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

36 MATERIALS SCIENCE↗

Materials Data on RbMg30BO31 by Materials Project

RbMg30BO31 crystallizes in the orthorhombic Pmm2 space group. The structure is three-dimensional. Rb is bonded in a 3-coordinate geometry to three O atoms. There are two shorter (2.45 Å) and one longer (2.50 Å) Rb–O bond lengths. There are sixteen inequivalent Mg sites. In the first Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with four MgO6 octahedra, edges with ten MgO6 octahedra, and edges with two equivalent MgO5 square pyramids. The corner-sharing octahedral tilt angles are 0°. There are a spread of Mg–O bond distances ranging from 1.98–2.21 Å. In the second 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 2.00–2.22 Å. In the third Mg site, Mg is bonded to five O atoms to form MgO5 square pyramids that share corners with four MgO6 octahedra, corners with four MgO5 square pyramids, and edges with eight MgO6 octahedra. The corner-sharing octahedra tilt angles range from 2–4°. There are a spread of Mg–O bond distances ranging from 2.04–2.28 Å. In the fourth 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 2°. There are a spread of Mg–O bond distances ranging from 1.97–2.22 Å. In the fifth 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 2.09–2.14 Å. In the sixth Mg site, Mg is bonded to six O atoms to form a mixture of edge and corner-sharing MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Mg–O bond distances ranging from 2.09–2.21 Å. In the seventh Mg site, Mg is bonded to six O atoms to form distorted MgO6 octahedra that share corners with six MgO6 octahedra, edges with eight MgO6 octahedra, and edges with two MgO5 square pyramids. The corner-sharing octahedra tilt angles range from 3–33°. There are a spread of Mg–O bond distances ranging from 2.04–2.44 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 1–5°. There are a spread of Mg–O bond distances ranging from 2.10–2.21 Å. In the ninth Mg site, Mg is bonded to five O atoms to form distorted MgO5 square pyramids that share corners with four MgO6 octahedra, corners with four MgO5 square pyramids, and edges with seven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–35°. There are a spread of Mg–O bond distances ranging from 1.96–2.42 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 2.08–2.23 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 an edgeedge with one MgO5 square pyramid. The corner-sharing octahedra tilt angles range from 3–9°. There are a spread of Mg–O bond distances ranging from 2.03–2.26 Å. In the twelfth Mg site, Mg is bonded to six O atoms to form a mixture of edge and corner-sharing MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. There are a spread of Mg–O bond distances ranging from 2.09–2.23 Å. In the thirteenth Mg site, Mg is bonded to five O atoms to form MgO5 square pyramids that share corners with four MgO6 octahedra, corners with four MgO5 square pyramids, and edges with eight MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–8°. There are a spread of Mg–O bond distances ranging from 2.09–2.19 Å. In the fourteenth 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 2–15°. There are a spread of Mg–O bond distances ranging from 2.09–2.27 Å. In the fifteenth 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 an edgeedge with one MgO5 square pyramid. The corner-sharing octahedra tilt angles range from 2–9°. There are a spread of Mg–O bond distances ranging from 2.10–2.25 Å. In the sixteenth 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 2–9°. There are a spread of Mg–O bond distances ranging from 2.09–2.33 Å. B is bonded in a distorted trigonal planar geometry to three O atoms. There is two shorter (1.43 Å) and one longer (1.46 Å) B–O bond length. There are seventeen inequivalent O sites. In the first O site, O is bonded to five Mg atoms to form OMg5 square pyramids that share corners with three OMg6 octahedra, corners with two equivalent OMg5 square pyramids, and edges with eight OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–10°. In the second O site, O is bonded to six Mg atoms to form a mixture of edge and corner-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. In the third 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 fourth O site, O is bonded to one Rb and five Mg atoms to form ORbMg5 octahedra that share corners with four OMg5B octahedra and edges with ten OMg6 octahedra. The corner-sharing octahedra tilt angles range from 1–5°. In the fifth O site, O is bonded to five Mg and one B atom to form distorted OMg5B octahedra that share corners with four ORbMg5 octahedra, corners with three OMg5 square pyramids, and edges with eight OMg6 octahedra. The corner-sharing octahedral tilt angles are 1°. In the sixth O site, O is bonded to six Mg atoms to form a mixture of edge and corner-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–5°. In the seventh O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OMg6 octahedra, edges with ten OMg6 octahedra, and edges with two equivalent OMg5 square pyramids. 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 two OMg5 square pyramids. The corner-sharing octahedra tilt angles range from 1–10°. 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 ten ORbMg5 octahedra, and an edgeedge with one OMg5 square pyramid. The corner-sharing octahedra tilt angles range from 1–8°. In the tenth O site, O is bonded in a distorted single-bond geometry to four Mg and one B atom. In the eleventh O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with four OMg6 octahedra, edges with ten OMg6 octahedra, and edges with two equivalent OMg5 square pyramids. The corner-sharing octahedral tilt angles are 1°. In the twelfth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with four OMg6 octahedra, edges with ten ORbMg5 octahedra, and an edgeedge with one OMg5 square pyramid. The corner-sharing octahedra tilt angles range from 0–7°. In the thirteenth O site, O is bonded to six Mg atoms to form a mixture of edge and corner-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 1–2°. In the fourteenth O site, O is bonded to one Rb and five Mg atoms to form ORbMg5 octahedra that share corners with four OMg6 octahedra, corners with two equivalent OMg5 square pyramids, and edges with nine OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–8°. In the fifteenth O site, O is bonded to five Mg atoms to form OMg5 square pyramids that share corners with five OMg5B octahedra, corners with two OMg5 square pyramids, and edges with eight OMg6 octahedra. The corner-sharing octahedra tilt angles range from 1–90°. In the sixteenth O site, O is bonded to six Mg atoms to form a mixture of edge and corner-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. In the seventeenth 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 eleven OMg6 octahedra, and an edgeedge with one OMg5 square pyramid. The corner-sharing octahedra tilt angles range from 0–4°.

36 MATERIALS SCIENCE↗

Materials Data on Li6V3P8O29 by Materials Project

Li6V3P8O29 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twelve inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with four PO4 tetrahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.97–2.20 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with four PO4 tetrahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.95–2.26 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three VO6 octahedra and corners with four PO4 tetrahedra. The corner-sharing octahedral tilt angles are 66°. There are a spread of Li–O bond distances ranging from 1.86–2.17 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with four PO4 tetrahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.88–2.22 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with four PO4 tetrahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.92–2.23 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with four PO4 tetrahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.88–2.22 Å. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with four PO4 tetrahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.95–2.30 Å. In the eighth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with four PO4 tetrahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.95–2.26 Å. In the ninth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with four PO4 tetrahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.95–2.30 Å. In the tenth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three VO6 octahedra and corners with four PO4 tetrahedra. The corner-sharing octahedral tilt angles are 66°. There are a spread of Li–O bond distances ranging from 1.86–2.17 Å. In the eleventh Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with four PO4 tetrahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.92–2.23 Å. In the twelfth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with four PO4 tetrahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.96–2.21 Å. There are six inequivalent V4+ sites. In the first V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and edges with two LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.89–2.00 Å. In the second V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two LiO4 tetrahedra, corners with six PO4 tetrahedra, and edges with two LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.91–2.00 Å. In the third V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two LiO4 tetrahedra, corners with six PO4 tetrahedra, and an edgeedge with one LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.85–2.03 Å. In the fourth V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and edges with two LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.86–2.01 Å. In the fifth V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and edges with two LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.86–2.02 Å. In the sixth V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two LiO4 tetrahedra, corners with six PO4 tetrahedra, and an edgeedge with one LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.85–2.03 Å. There are sixteen inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with four LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 47–50°. There are a spread of P–O bond distances ranging from 1.51–1.60 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 39–44°. There are a spread of P–O bond distances ranging from 1.48–1.62 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 41–46°. There are a spread of P–O bond distances ranging from 1.51–1.61 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra and corners with four LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 36–37°. There are a spread of P–O bond distances ranging from 1.51–1.58 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 26–31°. There are a spread of P–O bond distances ranging from 1.48–1.60 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 43–46°. There are a spread of P–O bond distances ranging from 1.50–1.61 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 43–46°. There are a spread of P–O bond distances ranging from 1.50–1.61 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 45–46°. There are a spread of P–O bond distances ranging from 1.48–1.63 Å. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 41–46°. There are a spread of P–O bond distances ranging from 1.51–1.61 Å. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 40–46°. There are a spread of P–O bond distances ranging from 1.51–1.61 Å. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 41–47°. There are a spread of P–O bond distances ranging from 1.51–1.62 Å. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra and corners with four LiO4 tetrahedra. The corner-sharing octahedral tilt angles are 36°. There are a spread of P–O bond distances ranging from 1.51–1.58 Å. In the thirteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 26–31°. There are a spread of P–O bond distances ranging from 1.48–1.60 Å. In the fourteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 45–46°. There are a spread of P–O bond distances ranging from 1.48–1.63 Å. In the fifteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with four LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 47–50°. There are a spread of P–O bond distances ranging from 1.51–1.60 Å. In the sixteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 40–44°. There are a spread of P–O bond distances ranging from 1.48–1.62 Å. There are fifty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a bent 120 degrees geometry to one Li1+ and one P5+ atom. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V4+, and one P5+ atom. In the third O2- site, O2- is bonded in a trigonal planar geometry to two Li1+ and one P5+ atom. In the fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V4+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one V4+, and one P5+ atom. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V4+, and one P5+ atom. In the seventh O2- site, O2- is bonded in a bent 150 degrees geometry to one V4+ and one P5+ atom. In the eighth O2- site, O2- is bonded in a bent 120 degrees geometry to one Li1+ and one P5+ atom. In the ninth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one V4+ and one P5+ atom. In the tenth O2- site, O2- is bonded in a bent 150 degrees geometry to one V4+ and one P5+ atom. In the eleventh O2- site, O2- is bonded in a bent 150 degrees geometry to one V4+ and one P5+ atom. In the twelfth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V4+, and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a linear geometry to one Li1+ and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a single-bond geometry to one P5+ atom. In the fifteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V4+, and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V4+, and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V4+, and one P5+ atom. In the eight

36 MATERIALS SCIENCE↗

Materials Data on Li27As10 by Materials Project

Li27As10 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twenty-seven inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four As+2.70- atoms to form LiAs4 tetrahedra that share corners with six LiAs6 octahedra, corners with sixteen LiAs4 tetrahedra, edges with six LiAs4 tetrahedra, and faces with two LiAs6 octahedra. The corner-sharing octahedra tilt angles range from 48–58°. There are a spread of Li–As bond distances ranging from 2.60–2.72 Å. In the second Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six As+2.70- atoms. There are a spread of Li–As bond distances ranging from 2.86–3.14 Å. In the third Li1+ site, Li1+ is bonded to four As+2.70- atoms to form LiAs4 tetrahedra that share corners with seven LiAs6 octahedra, corners with sixteen LiAs4 tetrahedra, edges with six LiAs4 tetrahedra, and faces with two LiAs6 octahedra. The corner-sharing octahedra tilt angles range from 48–57°. There are a spread of Li–As bond distances ranging from 2.59–2.69 Å. In the fourth Li1+ site, Li1+ is bonded to six As+2.70- atoms to form distorted LiAs6 octahedra that share corners with four LiAs6 octahedra, corners with twenty-four LiAs4 tetrahedra, edges with five LiAs6 octahedra, and faces with eight LiAs4 tetrahedra. The corner-sharing octahedra tilt angles range from 1–7°. There are a spread of Li–As bond distances ranging from 2.85–3.12 Å. In the fifth Li1+ site, Li1+ is bonded to four As+2.70- atoms to form LiAs4 tetrahedra that share corners with nine LiAs6 octahedra, corners with sixteen LiAs4 tetrahedra, edges with six LiAs4 tetrahedra, and a faceface with one LiAs6 octahedra. The corner-sharing octahedra tilt angles range from 45–64°. There are a spread of Li–As bond distances ranging from 2.69–2.71 Å. In the sixth Li1+ site, Li1+ is bonded to four As+2.70- atoms to form LiAs4 tetrahedra that share corners with six LiAs6 octahedra, corners with sixteen LiAs4 tetrahedra, edges with six LiAs4 tetrahedra, and faces with two LiAs6 octahedra. The corner-sharing octahedra tilt angles range from 47–57°. There are a spread of Li–As bond distances ranging from 2.58–2.72 Å. In the seventh Li1+ site, Li1+ is bonded to four As+2.70- atoms to form LiAs4 tetrahedra that share corners with seven LiAs6 octahedra, corners with sixteen LiAs4 tetrahedra, edges with six LiAs4 tetrahedra, and faces with three LiAs6 octahedra. The corner-sharing octahedra tilt angles range from 48–61°. There are a spread of Li–As bond distances ranging from 2.59–2.69 Å. In the eighth Li1+ site, Li1+ is bonded to four As+2.70- atoms to form LiAs4 tetrahedra that share corners with seven LiAs6 octahedra, corners with sixteen LiAs4 tetrahedra, edges with six LiAs4 tetrahedra, and faces with two LiAs6 octahedra. The corner-sharing octahedra tilt angles range from 46–62°. There are a spread of Li–As bond distances ranging from 2.69–2.71 Å. In the ninth Li1+ site, Li1+ is bonded to four As+2.70- atoms to form LiAs4 tetrahedra that share corners with eight LiAs6 octahedra, corners with sixteen LiAs4 tetrahedra, edges with six LiAs4 tetrahedra, and faces with three LiAs6 octahedra. The corner-sharing octahedra tilt angles range from 49–60°. There are a spread of Li–As bond distances ranging from 2.64–2.71 Å. In the tenth Li1+ site, Li1+ is bonded to four As+2.70- atoms to form LiAs4 tetrahedra that share corners with seven LiAs6 octahedra, corners with sixteen LiAs4 tetrahedra, edges with six LiAs4 tetrahedra, and faces with two LiAs6 octahedra. The corner-sharing octahedra tilt angles range from 47–57°. There are a spread of Li–As bond distances ranging from 2.60–2.70 Å. In the eleventh Li1+ site, Li1+ is bonded to six As+2.70- atoms to form distorted LiAs6 octahedra that share corners with four LiAs6 octahedra, corners with twenty-four LiAs4 tetrahedra, edges with seven LiAs6 octahedra, and faces with eight LiAs4 tetrahedra. The corner-sharing octahedra tilt angles range from 1–7°. There are a spread of Li–As bond distances ranging from 2.91–3.12 Å. In the twelfth Li1+ site, Li1+ is bonded to four As+2.70- atoms to form LiAs4 tetrahedra that share corners with eight LiAs6 octahedra, corners with sixteen LiAs4 tetrahedra, edges with six LiAs4 tetrahedra, and faces with two LiAs6 octahedra. The corner-sharing octahedra tilt angles range from 48–61°. There are a spread of Li–As bond distances ranging from 2.59–2.69 Å. In the thirteenth Li1+ site, Li1+ is bonded to four As+2.70- atoms to form LiAs4 tetrahedra that share corners with nine LiAs6 octahedra, corners with sixteen LiAs4 tetrahedra, edges with six LiAs4 tetrahedra, and a faceface with one LiAs6 octahedra. The corner-sharing octahedra tilt angles range from 45–63°. There are a spread of Li–As bond distances ranging from 2.68–2.72 Å. In the fourteenth Li1+ site, Li1+ is bonded to four As+2.70- atoms to form LiAs4 tetrahedra that share corners with seven LiAs6 octahedra, corners with sixteen LiAs4 tetrahedra, edges with six LiAs4 tetrahedra, and faces with three LiAs6 octahedra. The corner-sharing octahedra tilt angles range from 46–58°. There are a spread of Li–As bond distances ranging from 2.57–2.73 Å. In the fifteenth Li1+ site, Li1+ is bonded to four As+2.70- atoms to form LiAs4 tetrahedra that share corners with seven LiAs6 octahedra, corners with sixteen LiAs4 tetrahedra, edges with six LiAs4 tetrahedra, and faces with three LiAs6 octahedra. The corner-sharing octahedra tilt angles range from 48–60°. There are a spread of Li–As bond distances ranging from 2.58–2.67 Å. In the sixteenth Li1+ site, Li1+ is bonded to four As+2.70- atoms to form LiAs4 tetrahedra that share corners with eight LiAs6 octahedra, corners with sixteen LiAs4 tetrahedra, edges with six LiAs4 tetrahedra, and faces with three LiAs6 octahedra. The corner-sharing octahedra tilt angles range from 50–61°. There are a spread of Li–As bond distances ranging from 2.61–2.74 Å. In the seventeenth Li1+ site, Li1+ is bonded to six As+2.70- atoms to form LiAs6 octahedra that share corners with four LiAs6 octahedra, corners with twenty-four LiAs4 tetrahedra, edges with seven LiAs6 octahedra, and faces with eight LiAs4 tetrahedra. The corner-sharing octahedra tilt angles range from 1–7°. There are a spread of Li–As bond distances ranging from 2.98–3.09 Å. In the eighteenth Li1+ site, Li1+ is bonded to four As+2.70- atoms to form LiAs4 tetrahedra that share corners with seven LiAs6 octahedra, corners with sixteen LiAs4 tetrahedra, edges with six LiAs4 tetrahedra, and faces with two LiAs6 octahedra. The corner-sharing octahedra tilt angles range from 45–62°. There are one shorter (2.66 Å) and three longer (2.71 Å) Li–As bond lengths. In the nineteenth Li1+ site, Li1+ is bonded to four As+2.70- atoms to form LiAs4 tetrahedra that share corners with eight LiAs6 octahedra, corners with sixteen LiAs4 tetrahedra, edges with six LiAs4 tetrahedra, and faces with three LiAs6 octahedra. The corner-sharing octahedra tilt angles range from 49–61°. There are a spread of Li–As bond distances ranging from 2.62–2.70 Å. In the twentieth Li1+ site, Li1+ is bonded to six As+2.70- atoms to form distorted LiAs6 octahedra that share corners with four LiAs6 octahedra, corners with twenty-four LiAs4 tetrahedra, edges with six LiAs6 octahedra, and faces with eight LiAs4 tetrahedra. The corner-sharing octahedra tilt angles range from 1–7°. There are a spread of Li–As bond distances ranging from 2.92–3.12 Å. In the twenty-first Li1+ site, Li1+ is bonded to four As+2.70- atoms to form LiAs4 tetrahedra that share corners with five LiAs6 octahedra, corners with sixteen LiAs4 tetrahedra, edges with six LiAs4 tetrahedra, and faces with three LiAs6 octahedra. The corner-sharing octahedra tilt angles range from 50–58°. There are a spread of Li–As bond distances ranging from 2.58–2.73 Å. In the twenty-second Li1+ site, Li1+ is bonded to four As+2.70- atoms to form LiAs4 tetrahedra that share corners with seven LiAs6 octahedra, corners with sixteen LiAs4 tetrahedra, edges with six LiAs4 tetrahedra, and faces with three LiAs6 octahedra. The corner-sharing octahedra tilt angles range from 46–58°. There are a spread of Li–As bond distances ranging from 2.59–2.75 Å. In the twenty-third Li1+ site, Li1+ is bonded to four As+2.70- atoms to form LiAs4 tetrahedra that share corners with eight LiAs6 octahedra, corners with sixteen LiAs4 tetrahedra, edges with six LiAs4 tetrahedra, and faces with two LiAs6 octahedra. The corner-sharing octahedra tilt angles range from 49–60°. There are two shorter (2.60 Å) and two longer (2.67 Å) Li–As bond lengths. In the twenty-fourth Li1+ site, Li1+ is bonded to six As+2.70- atoms to form distorted LiAs6 octahedra that share corners with two equivalent LiAs6 octahedra, corners with twenty-four LiAs4 tetrahedra, edges with eight LiAs6 octahedra, and faces with eight LiAs4 tetrahedra. The corner-sharing octahedra tilt angles range from 1–2°. There are a spread of Li–As bond distances ranging from 2.84–3.10 Å. In the twenty-fifth Li1+ site, Li1+ is bonded to six As+2.70- atoms to form LiAs6 octahedra that share corners with six LiAs6 octahedra, corners with twenty-four LiAs4 tetrahedra, edges with five LiAs6 octahedra, and faces with eight LiAs4 tetrahedra. The corner-sharing octahedra tilt angles range from 1–7°. There are a spread of Li–As bond distances ranging from 2.97–3.10 Å. In the twenty-sixth Li1+ site, Li1+ is bonded to four As+2.70- atoms to form LiAs4 tetrahedra that share corners with eight LiAs6 octahedra, corners with sixteen LiAs4 tetrahedra, edges with six LiAs4 tetrahedra, and faces with three LiAs6 octahedra. The corner-sharing octahedra tilt angles range from 49–61°. There are a spread of Li–As bond distances ranging from 2.60–2.73 Å. In the twenty-seventh Li1+ site, Li1+ is bonded to four As+2.70- atoms to form LiAs4 tetrahedra that share corners with five LiAs6 octahedra, corners with sixteen LiAs4 tetrahedra, edges with six LiAs4 tetrahedra, and faces with three LiAs6 octahedra. The corner-sharing octahedra tilt angles range from 51–60°. There are a spread of Li–As bond distances ranging from 2.59–2.74 Å. There are ten inequivalent As+2.70- sites. In the first As+2.70- site, As+2.70- is bonded in a 8-coordinate geometry to twelve Li1+ atoms. In the second As+2.70- site, As+2.70- is bonded in a 8-coordinate geometry to twelve Li1+ atoms. In the third As+2.70- site, As+2.70- is bonded in a 8-coordinate geometry to twelve Li1+ atoms. In the fourth As+2.70- site, As+2.70- is bonded in a 8-coordinate geometry to twelve Li1+ atoms. In the fifth As+2.70- site, As+2.70- is bonded in a 9-coordinate geometry to thirteen Li1+ atoms. In the sixth As+2.70- site, As+2.70- is bonded in a distorted body-centered cubic geometry to twelve Li1+ atoms. In the seventh As+2.70- site, As+2.70- is bonded in a 8-coordinate geometry to twelve Li1+ atoms. In the eighth As+2.70- site, As+2.70- is bonded in a 8-coordinate geometry to thirteen Li1+ atoms. In the ninth As+2.70- site, As+2.70- is bonded in a distorted body-centered cubic geometry to twelve Li1+ atoms. In the tenth As+2.70- site, As+2.70- is bonded in a 8-coordinate geometry to twelve Li1+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Ca6Ga6Si3(HO12)2 by Materials Project

Ca6Ga6Si3(HO12)2 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twelve inequivalent Ca sites. In the first Ca site, Ca is bonded to six O atoms to form CaO6 octahedra that share a cornercorner with one SiO4 tetrahedra, corners with five GaO4 tetrahedra, and edges with three CaO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.32–2.55 Å. In the second Ca site, Ca is bonded to six O atoms to form CaO6 octahedra that share a cornercorner with one SiO4 tetrahedra, corners with five GaO4 tetrahedra, and edges with two CaO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.27–2.52 Å. In the third Ca site, Ca is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Ca–O bond distances ranging from 2.24–2.51 Å. In the fourth Ca site, Ca is bonded to six O atoms to form CaO6 octahedra that share corners with three GaO4 tetrahedra, corners with three SiO4 tetrahedra, and edges with two CaO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.30–2.61 Å. In the fifth Ca site, Ca is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Ca–O bond distances ranging from 2.24–2.42 Å. In the sixth Ca site, Ca is bonded to six O atoms to form CaO6 octahedra that share corners with three GaO4 tetrahedra, corners with three SiO4 tetrahedra, and edges with two CaO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.31–2.62 Å. In the seventh Ca site, Ca is bonded to six O atoms to form distorted CaO6 octahedra that share corners with three GaO4 tetrahedra, corners with three SiO4 tetrahedra, and edges with two CaO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.30–2.64 Å. In the eighth Ca site, Ca is bonded to six O atoms to form CaO6 octahedra that share corners with two SiO4 tetrahedra, corners with four GaO4 tetrahedra, and edges with three CaO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.33–2.45 Å. In the ninth Ca site, Ca is bonded to six O atoms to form CaO6 octahedra that share corners with two SiO4 tetrahedra, corners with four GaO4 tetrahedra, and edges with two CaO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.33–2.50 Å. In the tenth Ca site, Ca is bonded to six O atoms to form distorted CaO6 octahedra that share corners with two SiO4 tetrahedra, corners with four GaO4 tetrahedra, and edges with two CaO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.32–2.46 Å. In the eleventh Ca site, Ca is bonded to six O atoms to form CaO6 octahedra that share corners with two SiO4 tetrahedra, corners with four GaO4 tetrahedra, and edges with three CaO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.33–2.50 Å. In the twelfth Ca site, Ca is bonded to six O atoms to form CaO6 octahedra that share a cornercorner with one SiO4 tetrahedra, corners with five GaO4 tetrahedra, and edges with three CaO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.33–2.51 Å. There are twelve inequivalent Ga sites. In the first Ga site, Ga is bonded to four O atoms to form GaO4 tetrahedra that share corners with four CaO6 octahedra, corners with two GaO4 tetrahedra, and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 60–68°. There are a spread of Ga–O bond distances ranging from 1.83–1.91 Å. In the second Ga site, Ga is bonded to four O atoms to form GaO4 tetrahedra that share corners with three CaO6 octahedra, corners with two GaO4 tetrahedra, and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 62–68°. There are a spread of Ga–O bond distances ranging from 1.81–1.92 Å. In the third Ga site, Ga is bonded to four O atoms to form GaO4 tetrahedra that share corners with four CaO6 octahedra, a cornercorner with one SiO4 tetrahedra, and corners with three GaO4 tetrahedra. The corner-sharing octahedra tilt angles range from 60–70°. There is three shorter (1.84 Å) and one longer (1.90 Å) Ga–O bond length. In the fourth Ga site, Ga is bonded to four O atoms to form GaO4 tetrahedra that share corners with three CaO6 octahedra, a cornercorner with one GaO4 tetrahedra, and corners with three SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 67–70°. There are a spread of Ga–O bond distances ranging from 1.83–1.88 Å. In the fifth Ga site, Ga is bonded to four O atoms to form GaO4 tetrahedra that share corners with three CaO6 octahedra, corners with two GaO4 tetrahedra, and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 62–73°. There are a spread of Ga–O bond distances ranging from 1.84–1.90 Å. In the sixth Ga site, Ga is bonded to four O atoms to form GaO4 tetrahedra that share corners with three CaO6 octahedra, corners with two GaO4 tetrahedra, and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 59–72°. There are a spread of Ga–O bond distances ranging from 1.82–1.91 Å. In the seventh Ga site, Ga is bonded to four O atoms to form GaO4 tetrahedra that share corners with three CaO6 octahedra, corners with two GaO4 tetrahedra, and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 64–71°. There are a spread of Ga–O bond distances ranging from 1.82–1.91 Å. In the eighth Ga site, Ga is bonded to four O atoms to form GaO4 tetrahedra that share corners with three CaO6 octahedra and corners with four GaO4 tetrahedra. The corner-sharing octahedra tilt angles range from 58–64°. There are a spread of Ga–O bond distances ranging from 1.84–1.87 Å. In the ninth Ga site, Ga is bonded to four O atoms to form GaO4 tetrahedra that share corners with three CaO6 octahedra, corners with two GaO4 tetrahedra, and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 64–68°. There are a spread of Ga–O bond distances ranging from 1.84–1.89 Å. In the tenth Ga site, Ga is bonded to four O atoms to form GaO4 tetrahedra that share corners with three CaO6 octahedra, a cornercorner with one GaO4 tetrahedra, and corners with three SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 69–74°. There are a spread of Ga–O bond distances ranging from 1.82–1.89 Å. In the eleventh Ga site, Ga is bonded to four O atoms to form GaO4 tetrahedra that share corners with four CaO6 octahedra, a cornercorner with one SiO4 tetrahedra, and corners with three GaO4 tetrahedra. The corner-sharing octahedra tilt angles range from 64–67°. There are a spread of Ga–O bond distances ranging from 1.83–1.90 Å. In the twelfth Ga site, Ga is bonded to four O atoms to form GaO4 tetrahedra that share corners with four CaO6 octahedra, corners with two GaO4 tetrahedra, and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 64–68°. There are a spread of Ga–O bond distances ranging from 1.83–1.89 Å. There are six inequivalent Si sites. In the first Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with four CaO6 octahedra and corners with four GaO4 tetrahedra. The corner-sharing octahedra tilt angles range from 59–62°. There are a spread of Si–O bond distances ranging from 1.64–1.67 Å. In the second Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with three CaO6 octahedra, a cornercorner with one SiO4 tetrahedra, and corners with three GaO4 tetrahedra. The corner-sharing octahedra tilt angles range from 63–70°. There are a spread of Si–O bond distances ranging from 1.63–1.69 Å. In the third Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with three CaO6 octahedra and corners with four GaO4 tetrahedra. The corner-sharing octahedra tilt angles range from 58–62°. There are a spread of Si–O bond distances ranging from 1.64–1.66 Å. In the fourth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with three CaO6 octahedra, a cornercorner with one SiO4 tetrahedra, and corners with three GaO4 tetrahedra. The corner-sharing octahedra tilt angles range from 58–67°. There are a spread of Si–O bond distances ranging from 1.63–1.69 Å. In the fifth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with four CaO6 octahedra and corners with four GaO4 tetrahedra. The corner-sharing octahedra tilt angles range from 57–61°. There is two shorter (1.65 Å) and two longer (1.66 Å) Si–O bond length. In the sixth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with three CaO6 octahedra and corners with four GaO4 tetrahedra. The corner-sharing octahedra tilt angles range from 58–61°. There are a spread of Si–O bond distances ranging from 1.64–1.66 Å. There are four inequivalent H sites. In the first H site, H is bonded in a single-bond geometry to one O atom. The H–O bond length is 0.97 Å. In the second H site, H is bonded in a single-bond geometry to one O atom. The H–O bond length is 0.97 Å. In the third H site, H is bonded in a single-bond geometry to one O atom. The H–O bond length is 0.97 Å. In the fourth H site, H is bonded in a single-bond geometry to one O atom. The H–O bond length is 0.98 Å. There are forty-eight inequivalent O sites. In the first O site, O is bonded in a trigonal non-coplanar geometry to three Ca atoms. In the second O site, O is bonded in a trigonal planar geometry to one Ca and two Ga atoms. In the third O site, O is bonded in a distorted trigonal planar geometry to one Ca, one Ga, and one Si atom. In the fourth O site, O is bonded in a distorted trigonal planar geometry to one Ca, one Ga, and one Si atom. In the fifth O site, O is bonded in a distorted single-bond geometry to three Ca and one H atom. In the sixth O site, O is bonded in a distorted trigonal planar geometry to one Ca, one Ga, and one Si atom. In the seventh O site, O is bonded in a trigonal planar geometry to one Ca, one Ga, and one Si atom. In the eighth O site, O is bonded in a trigonal planar geometry to one Ca and two Ga atoms. In the ninth O site, O is bonded in a trigonal planar geometry to one Ca and two Ga atoms. In the tenth O site, O is bonded in a distorted trigonal planar geometry to one Ca, one Ga, and one Si atom. In the eleventh O site, O is bonded in a distorted trigonal planar geometry to one Ca, one Ga, and one Si atom. In the twelfth O site, O is bonded in a distorted single-bond geometry to three Ca and one H atom. In the thirteenth O site, O is bonded in a distorted trigonal planar geometry to one Ca, one Ga, and one Si atom. In the fourteenth O site, O is bonded in a distorted single-bond geometry to three Ca and one H atom. In the fifteenth O site, O is bonded in a trigonal planar geometry to one Ca and two Ga atoms. In the sixteenth O site, O is bonded in a distorted trigonal planar geometry to one Ca, one Ga, and one Si atom. In the seventeenth O site, O is bonded in a distorted trigonal planar geometry to one Ca and two Si atoms. In the eighteenth O site, O is bonded in a trigonal planar geometry to one Ca and two Ga atoms. In the nineteenth O site, O is bonded in a trigonal planar geometry to one Ca and two Ga atoms. In the twentieth O site, O is bonded in a distorted trigonal planar geometry to one Ca, one Ga, and one Si atom. In the twenty-first O site, O is bonded in a trigonal planar geometry to one Ca, one Ga, and one Si atom. In the twenty-second O site, O is bonded in a trigonal planar geometry to one Ca, one Ga, and one Si atom. In the twenty-third O site, O is bonded in a trigonal planar geometry to one Ca and two Ga atoms. In the twenty-fourth O site, O is bonded in a trigonal planar geometry to one Ca and two Ga atoms. In the twenty-fifth O site, O is bonded in a trigonal non-coplanar geometry to three Ca atoms. In the twenty-sixth O site, O is bonded in a distorted trigonal planar geometry to one Ca, one Ga, and one Si atom. In the t

36 MATERIALS SCIENCE↗

Materials Data on Ba6Yb6Al13Si11N29O13 by Materials Project

Ba6Yb6Al13Si11N29O13 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are six inequivalent Ba2+ sites. In the first Ba2+ site, Ba2+ is bonded to two N3- and four O2- atoms to form distorted BaN2O4 octahedra that share a cornercorner with one BaN7 pentagonal bipyramid, corners with three SiN3O tetrahedra, and corners with nine AlN2O2 tetrahedra. There are one shorter (2.63 Å) and one longer (2.77 Å) Ba–N bond lengths. There are a spread of Ba–O bond distances ranging from 2.53–2.79 Å. In the second Ba2+ site, Ba2+ is bonded to two N3- and four O2- atoms to form BaN2O4 octahedra that share corners with five AlN3O tetrahedra, corners with five SiN4 tetrahedra, and corners with two equivalent AlN2O2 trigonal pyramids. There are one shorter (2.58 Å) and one longer (2.75 Å) Ba–N bond lengths. There are a spread of Ba–O bond distances ranging from 2.55–2.77 Å. In the third Ba2+ site, Ba2+ is bonded in a 6-coordinate geometry to one N3- and five O2- atoms. The Ba–N bond length is 2.62 Å. There are a spread of Ba–O bond distances ranging from 2.60–2.99 Å. In the fourth Ba2+ site, Ba2+ is bonded to six N3- atoms to form distorted BaN6 octahedra that share corners with five SiN4 tetrahedra, corners with six AlN3O tetrahedra, a cornercorner with one AlN2O2 trigonal pyramid, and a faceface with one YbN4O2 pentagonal pyramid. There are a spread of Ba–N bond distances ranging from 2.61–2.73 Å. In the fifth Ba2+ site, Ba2+ is bonded to seven N3- atoms to form distorted BaN7 pentagonal bipyramids that share a cornercorner with one BaN2O4 octahedra, corners with three AlN3O tetrahedra, corners with seven SiN4 tetrahedra, and edges with two AlN3O tetrahedra. The corner-sharing octahedral tilt angles are 5°. There are a spread of Ba–N bond distances ranging from 2.63–3.07 Å. In the sixth Ba2+ site, Ba2+ is bonded in a 7-coordinate geometry to six N3- and one O2- atom. There are a spread of Ba–N bond distances ranging from 2.63–2.70 Å. The Ba–O bond length is 3.13 Å. There are six inequivalent Yb3+ sites. In the first Yb3+ site, Yb3+ is bonded in a 4-coordinate geometry to four N3- atoms. There are a spread of Yb–N bond distances ranging from 2.32–2.71 Å. In the second Yb3+ site, Yb3+ is bonded in a 5-coordinate geometry to five N3- atoms. There are a spread of Yb–N bond distances ranging from 2.42–2.72 Å. In the third Yb3+ site, Yb3+ is bonded in a 4-coordinate geometry to four N3- atoms. There are a spread of Yb–N bond distances ranging from 2.34–2.70 Å. In the fourth Yb3+ site, Yb3+ is bonded in a 2-coordinate geometry to four N3- and four O2- atoms. There are a spread of Yb–N bond distances ranging from 2.36–3.02 Å. There are a spread of Yb–O bond distances ranging from 2.51–3.04 Å. In the fifth Yb3+ site, Yb3+ is bonded to four N3- and two O2- atoms to form distorted YbN4O2 pentagonal pyramids that share corners with two AlN3O tetrahedra, corners with four SiN4 tetrahedra, an edgeedge with one SiN4 tetrahedra, edges with two AlN3O tetrahedra, and a faceface with one BaN6 octahedra. There are a spread of Yb–N bond distances ranging from 2.44–2.53 Å. There are one shorter (2.49 Å) and one longer (2.51 Å) Yb–O bond lengths. In the sixth Yb3+ site, Yb3+ is bonded in a 6-coordinate geometry to four N3- and two O2- atoms. There are a spread of Yb–N bond distances ranging from 2.41–2.76 Å. There are one shorter (2.44 Å) and one longer (2.64 Å) Yb–O bond lengths. There are thirteen inequivalent Al3+ sites. In the first Al3+ site, Al3+ is bonded to three N3- and one O2- atom to form distorted AlN3O tetrahedra that share a cornercorner with one BaN2O4 octahedra, corners with two equivalent BaN7 pentagonal bipyramids, and corners with six SiN4 tetrahedra. The corner-sharing octahedral tilt angles are 82°. There are a spread of Al–N bond distances ranging from 1.84–2.05 Å. The Al–O bond length is 1.85 Å. In the second Al3+ site, Al3+ is bonded to three N3- and one O2- atom to form AlN3O tetrahedra that share corners with two equivalent BaN6 octahedra, a cornercorner with one YbN4O2 pentagonal pyramid, corners with two equivalent AlN3O tetrahedra, corners with four SiN4 tetrahedra, and an edgeedge with one YbN4O2 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 57–76°. There are a spread of Al–N bond distances ranging from 1.81–1.97 Å. The Al–O bond length is 1.97 Å. In the third Al3+ site, Al3+ is bonded to two N3- and two O2- atoms to form AlN2O2 tetrahedra that share corners with three equivalent BaN2O4 octahedra, corners with three AlN3O tetrahedra, and corners with three SiN3O tetrahedra. The corner-sharing octahedra tilt angles range from 68–75°. There is one shorter (1.80 Å) and one longer (1.85 Å) Al–N bond length. There is one shorter (1.81 Å) and one longer (1.83 Å) Al–O bond length. In the fourth Al3+ site, Al3+ is bonded to three N3- and one O2- atom to form AlN3O tetrahedra that share corners with two equivalent BaN6 octahedra, a cornercorner with one YbN4O2 pentagonal pyramid, corners with two equivalent AlN3O tetrahedra, corners with four SiN4 tetrahedra, and an edgeedge with one YbN4O2 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 55–77°. There are a spread of Al–N bond distances ranging from 1.80–1.98 Å. The Al–O bond length is 1.95 Å. In the fifth Al3+ site, Al3+ is bonded to three N3- and one O2- atom to form AlN3O tetrahedra that share corners with three BaN2O4 octahedra, corners with two equivalent AlN3O tetrahedra, corners with two SiN4 tetrahedra, and corners with two equivalent AlN2O2 trigonal pyramids. The corner-sharing octahedra tilt angles range from 54–91°. There are a spread of Al–N bond distances ranging from 1.84–1.97 Å. The Al–O bond length is 1.80 Å. In the sixth Al3+ site, Al3+ is bonded to two N3- and two O2- atoms to form AlN2O2 tetrahedra that share corners with two SiN4 tetrahedra and corners with four AlN2O2 tetrahedra. There is one shorter (1.87 Å) and one longer (1.99 Å) Al–N bond length. There is one shorter (1.78 Å) and one longer (1.79 Å) Al–O bond length. In the seventh Al3+ site, Al3+ is bonded to three N3- and one O2- atom to form AlN3O tetrahedra that share corners with two equivalent BaN2O4 octahedra, a cornercorner with one SiN4 tetrahedra, corners with five AlN2O2 tetrahedra, and an edgeedge with one BaN7 pentagonal bipyramid. The corner-sharing octahedra tilt angles range from 56–86°. There are a spread of Al–N bond distances ranging from 1.85–1.99 Å. The Al–O bond length is 1.82 Å. In the eighth Al3+ site, Al3+ is bonded to two N3- and two O2- atoms to form AlN2O2 tetrahedra that share corners with two SiN4 tetrahedra and corners with four AlN2O2 tetrahedra. There is one shorter (1.91 Å) and one longer (1.96 Å) Al–N bond length. There is one shorter (1.75 Å) and one longer (1.81 Å) Al–O bond length. In the ninth Al3+ site, Al3+ is bonded to three N3- and one O2- atom to form distorted AlN3O tetrahedra that share corners with three BaN2O4 octahedra, corners with two equivalent AlN3O tetrahedra, corners with two SiN4 tetrahedra, and corners with two equivalent AlN2O2 trigonal pyramids. The corner-sharing octahedra tilt angles range from 55–89°. There are a spread of Al–N bond distances ranging from 1.83–2.03 Å. The Al–O bond length is 1.83 Å. In the tenth Al3+ site, Al3+ is bonded to three N3- and one O2- atom to form AlN3O tetrahedra that share corners with two equivalent BaN2O4 octahedra, a cornercorner with one SiN4 tetrahedra, corners with five AlN2O2 tetrahedra, and an edgeedge with one BaN7 pentagonal bipyramid. The corner-sharing octahedra tilt angles range from 60–76°. There are a spread of Al–N bond distances ranging from 1.85–2.01 Å. The Al–O bond length is 1.82 Å. In the eleventh Al3+ site, Al3+ is bonded to two N3- and two O2- atoms to form AlN2O2 tetrahedra that share corners with two SiN4 tetrahedra and corners with four AlN2O2 tetrahedra. There is one shorter (1.94 Å) and one longer (1.96 Å) Al–N bond length. There is one shorter (1.79 Å) and one longer (1.81 Å) Al–O bond length. In the twelfth Al3+ site, Al3+ is bonded to two N3- and two O2- atoms to form distorted AlN2O2 trigonal pyramids that share corners with three BaN2O4 octahedra, corners with two SiN4 tetrahedra, and corners with four AlN3O tetrahedra. The corner-sharing octahedra tilt angles range from 55–89°. There is one shorter (1.86 Å) and one longer (1.99 Å) Al–N bond length. Both Al–O bond lengths are 1.80 Å. In the thirteenth Al3+ site, Al3+ is bonded to two N3- and two O2- atoms to form distorted AlN2O2 tetrahedra that share corners with two equivalent BaN2O4 octahedra, a cornercorner with one BaN7 pentagonal bipyramid, a cornercorner with one SiN4 tetrahedra, and corners with five AlN2O2 tetrahedra. The corner-sharing octahedra tilt angles range from 70–74°. There is one shorter (1.86 Å) and one longer (1.99 Å) Al–N bond length. There is one shorter (1.81 Å) and one longer (1.85 Å) Al–O bond length. There are eleven inequivalent Si4+ sites. In the first Si4+ site, Si4+ is bonded to three N3- and one O2- atom to form distorted SiN3O tetrahedra that share a cornercorner with one BaN2O4 octahedra, a cornercorner with one AlN2O2 tetrahedra, and corners with five SiN3O tetrahedra. The corner-sharing octahedral tilt angles are 69°. There are a spread of Si–N bond distances ranging from 1.71–1.98 Å. The Si–O bond length is 1.67 Å. In the second Si4+ site, Si4+ is bonded to four N3- atoms to form distorted SiN4 tetrahedra that share corners with three AlN2O2 tetrahedra and corners with three SiN3O tetrahedra. There are a spread of Si–N bond distances ranging from 1.66–1.77 Å. In the third Si4+ site, Si4+ is bonded to two N3- and two O2- atoms to form SiN2O2 tetrahedra that share corners with three equivalent YbN4O2 pentagonal pyramids, a cornercorner with one SiN4 tetrahedra, and corners with five AlN3O tetrahedra. There is one shorter (1.67 Å) and one longer (1.80 Å) Si–N bond length. There is one shorter (1.65 Å) and one longer (1.66 Å) Si–O bond length. In the fourth Si4+ site, Si4+ is bonded to four N3- atoms to form SiN4 tetrahedra that share corners with three equivalent BaN6 octahedra, a cornercorner with one SiN4 tetrahedra, corners with four AlN3O tetrahedra, and a cornercorner with one AlN2O2 trigonal pyramid. The corner-sharing octahedra tilt angles range from 66–76°. There is three shorter (1.72 Å) and one longer (1.82 Å) Si–N bond length. In the fifth Si4+ site, Si4+ is bonded to two N3- and two O2- atoms to form SiN2O2 tetrahedra that share corners with three equivalent BaN2O4 octahedra, corners with two SiN4 tetrahedra, corners with three AlN3O tetrahedra, and a cornercorner with one AlN2O2 trigonal pyramid. The corner-sharing octahedra tilt angles range from 63–73°. There is one shorter (1.67 Å) and one longer (1.72 Å) Si–N bond length. There is one shorter (1.66 Å) and one longer (1.72 Å) Si–O bond length. In the sixth Si4+ site, Si4+ is bonded to four N3- atoms to form distorted SiN4 tetrahedra that share corners with three equivalent BaN7 pentagonal bipyramids, corners with two SiN4 tetrahedra, and corners with four AlN3O tetrahedra. There are a spread of Si–N bond distances ranging from 1.67–1.78 Å. In the seventh Si4+ site, Si4+ is bonded to three N3- and one O2- atom to form distorted SiN3O tetrahedra that share a cornercorner with one BaN2O4 octahedra, corners with two equivalent BaN7 pentagonal bipyramids, corners with two equivalent AlN3O tetrahedra, and corners with four SiN4 tetrahedra. The corner-sharing octahedral tilt angles are 85°. There are a spread of Si–N bond distances ranging from 1.68–1.99 Å. The Si–O bond length is 1.73 Å. In the eighth Si4+ site, Si4+ is bonded to three N3- and one O2- atom to form SiN3O tetrahedra that share a cornercorner with one BaN2O4 octahedra, a cornercorner with one AlN2O2 tetrahedra, and corners with five SiN4 tetrahedra. The corner-sharing octahedral tilt angles are 71°. There are a spread of Si

36 MATERIALS SCIENCE↗

Materials Data on Sm3Bi5O12 by Materials Project

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

36 MATERIALS SCIENCE↗

Materials Data on Li2Mn3NiO8 by Materials Project

Li2Mn3NiO8 is Spinel-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three LiO4 tetrahedra, corners with three NiO4 tetrahedra, and edges with six MnO6 octahedra. There are a spread of Li–O bond distances ranging from 2.10–2.12 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three LiO6 octahedra and corners with nine MnO6 octahedra. The corner-sharing octahedra tilt angles range from 54–67°. There is three shorter (1.98 Å) and one longer (1.99 Å) Li–O bond length. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three LiO6 octahedra and corners with nine MnO6 octahedra. The corner-sharing octahedra tilt angles range from 54–67°. There is three shorter (1.98 Å) and one longer (1.99 Å) Li–O bond length. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three LiO4 tetrahedra, corners with three NiO4 tetrahedra, and edges with six MnO6 octahedra. There are a spread of Li–O bond distances ranging from 2.10–2.12 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three LiO4 tetrahedra, corners with three NiO4 tetrahedra, and edges with six MnO6 octahedra. There are a spread of Li–O bond distances ranging from 2.09–2.12 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three LiO6 octahedra and corners with nine MnO6 octahedra. The corner-sharing octahedra tilt angles range from 55–67°. There is three shorter (1.98 Å) and one longer (1.99 Å) Li–O bond length. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three LiO6 octahedra and corners with nine MnO6 octahedra. The corner-sharing octahedra tilt angles range from 55–67°. There is three shorter (1.98 Å) and one longer (1.99 Å) Li–O bond length. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three LiO4 tetrahedra, corners with three NiO4 tetrahedra, and edges with six MnO6 octahedra. There are two shorter (2.10 Å) and four longer (2.11 Å) Li–O bond lengths. There are twelve inequivalent Mn4+ sites. In the first Mn4+ site, Mn4+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with three LiO4 tetrahedra, corners with three NiO4 tetrahedra, edges with two LiO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.88–1.99 Å. In the second Mn4+ site, Mn4+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with three LiO4 tetrahedra, corners with three NiO4 tetrahedra, edges with two LiO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.88–1.98 Å. In the third Mn4+ site, Mn4+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with three LiO4 tetrahedra, corners with three NiO4 tetrahedra, edges with two LiO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.88–1.98 Å. In the fourth Mn4+ site, Mn4+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with three LiO4 tetrahedra, corners with three NiO4 tetrahedra, edges with two LiO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.88–1.98 Å. In the fifth Mn4+ site, Mn4+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with three LiO4 tetrahedra, corners with three NiO4 tetrahedra, edges with two LiO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.88–1.98 Å. In the sixth Mn4+ site, Mn4+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with three LiO4 tetrahedra, corners with three NiO4 tetrahedra, edges with two LiO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.88–1.99 Å. In the seventh Mn4+ site, Mn4+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with three LiO4 tetrahedra, corners with three NiO4 tetrahedra, edges with two LiO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.88–1.98 Å. In the eighth Mn4+ site, Mn4+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with three LiO4 tetrahedra, corners with three NiO4 tetrahedra, edges with two LiO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.88–1.98 Å. In the ninth Mn4+ site, Mn4+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with three LiO4 tetrahedra, corners with three NiO4 tetrahedra, edges with two LiO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.88–1.98 Å. In the tenth Mn4+ site, Mn4+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with three LiO4 tetrahedra, corners with three NiO4 tetrahedra, edges with two LiO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.88–1.98 Å. In the eleventh Mn4+ site, Mn4+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with three LiO4 tetrahedra, corners with three NiO4 tetrahedra, edges with two LiO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.88–1.98 Å. In the twelfth Mn4+ site, Mn4+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with three LiO4 tetrahedra, corners with three NiO4 tetrahedra, edges with two LiO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.88–1.98 Å. There are four inequivalent Ni2+ sites. In the first Ni2+ site, Ni2+ is bonded to four O2- atoms to form NiO4 tetrahedra that share corners with three LiO6 octahedra and corners with nine MnO6 octahedra. The corner-sharing octahedra tilt angles range from 54–67°. There are a spread of Ni–O bond distances ranging from 1.95–2.04 Å. In the second Ni2+ site, Ni2+ is bonded to four O2- atoms to form NiO4 tetrahedra that share corners with three LiO6 octahedra and corners with nine MnO6 octahedra. The corner-sharing octahedra tilt angles range from 54–66°. There are a spread of Ni–O bond distances ranging from 1.95–2.03 Å. In the third Ni2+ site, Ni2+ is bonded to four O2- atoms to form NiO4 tetrahedra that share corners with three LiO6 octahedra and corners with nine MnO6 octahedra. The corner-sharing octahedra tilt angles range from 54–66°. There is three shorter (1.95 Å) and one longer (2.04 Å) Ni–O bond length. In the fourth Ni2+ site, Ni2+ is bonded to four O2- atoms to form NiO4 tetrahedra that share corners with three LiO6 octahedra and corners with nine MnO6 octahedra. The corner-sharing octahedra tilt angles range from 54–66°. There is three shorter (1.95 Å) and one longer (2.04 Å) Ni–O bond length. There are thirty-two inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+ and two Mn4+ atoms. In the second O2- site, O2- is bonded to two Li1+ and two Mn4+ atoms to form distorted OLi2Mn2 trigonal pyramids that share corners with two OMn3Ni tetrahedra, corners with eight OLiMn2Ni trigonal pyramids, and an edgeedge with one OLiMn3 trigonal pyramid. In the third O2- site, O2- is bonded to one Li1+ and three Mn4+ atoms to form distorted OLiMn3 trigonal pyramids that share corners with three OMn3Ni tetrahedra, corners with seven OLiMn2Ni trigonal pyramids, and edges with two OLi2Mn2 trigonal pyramids. In the fourth O2- site, O2- is bonded to two Li1+ and two Mn4+ atoms to form distorted OLi2Mn2 trigonal pyramids that share corners with two OMn3Ni tetrahedra, corners with six OLiMn2Ni trigonal pyramids, and edges with two OLiMn3 trigonal pyramids. In the fifth O2- site, O2- is bonded to one Li1+, two Mn4+, and one Ni2+ atom to form distorted OLiMn2Ni trigonal pyramids that share a cornercorner with one OMn3Ni tetrahedra, corners with five OLiMn3 trigonal pyramids, an edgeedge with one OMn3Ni tetrahedra, and edges with two OLiMn2Ni trigonal pyramids. In the sixth O2- site, O2- is bonded to three Mn4+ and one Ni2+ atom to form distorted OMn3Ni tetrahedra that share corners with nine OLi2Mn2 trigonal pyramids and edges with three OLiMn2Ni trigonal pyramids. In the seventh O2- site, O2- is bonded to one Li1+, two Mn4+, and one Ni2+ atom to form distorted OLiMn2Ni trigonal pyramids that share a cornercorner with one OMn3Ni tetrahedra, corners with seven OLi2Mn2 trigonal pyramids, an edgeedge with one OMn3Ni tetrahedra, and edges with two OLiMn2Ni trigonal pyramids. In the eighth O2- site, O2- is bonded to one Li1+, two Mn4+, and one Ni2+ atom to form distorted OLiMn2Ni trigonal pyramids that share a cornercorner with one OMn3Ni tetrahedra, corners with six OLiMn3 trigonal pyramids, an edgeedge with one OMn3Ni tetrahedra, and edges with two OLiMn2Ni trigonal pyramids. In the ninth O2- site, O2- is bonded to one Li1+, two Mn4+, and one Ni2+ atom to form distorted OLiMn2Ni trigonal pyramids that share a cornercorner with one OMn3Ni tetrahedra, corners with six OLiMn2Ni trigonal pyramids, an edgeedge with one OMn3Ni tetrahedra, and edges with two OLiMn2Ni trigonal pyramids. In the tenth O2- site, O2- is bonded to one Li1+, two Mn4+, and one Ni2+ atom to form distorted OLiMn2Ni trigonal pyramids that share a cornercorner with one OMn3Ni tetrahedra, corners with six OLi2Mn2 trigonal pyramids, an edgeedge with one OMn3Ni tetrahedra, and edges with two OLiMn2Ni trigonal pyramids. In the eleventh O2- site, O2- is bonded to three Mn4+ and one Ni2+ atom to form a mixture of distorted corner and edge-sharing OMn3Ni tetrahedra. In the twelfth O2- site, O2- is bonded to one Li1+, two Mn4+, and one Ni2+ atom to form distorted OLiMn2Ni trigonal pyramids that share a cornercorner with one OMn3Ni tetrahedra, corners with five OLiMn2Ni trigonal pyramids, an edgeedge with one OMn3Ni tetrahedra, and edges with two OLiMn2Ni trigonal pyramids. In the thirteenth O2- site, O2- is bonded to two Li1+ and two Mn4+ atoms to form distorted OLi2Mn2 trigonal pyramids that share corners with two OMn3Ni tetrahedra, corners with seven OLiMn2Ni trigonal pyramids, and edges with two OLi2Mn2 trigonal pyramids. In the fourteenth O2- site, O2- is bonded to one Li1+ and three Mn4+ atoms to form distorted OLiMn3 trigonal pyramids that share corners with three OMn3Ni tetrahedra, corners with six OLiMn2Ni trigonal pyramids, and edges with two OLi2Mn2 trigonal pyramids. In the fifteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+ and two Mn4+ atoms. In the sixteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+ and two Mn4+ atoms. In the seventeenth O2- site, O2- is bonded to two Li1+ and two Mn4+ atoms to form distorted OLi2Mn2 trigonal pyramids that share corners with two OMn3Ni tetrahedra, corners with five OLiMn2Ni trigonal pyramids, and edges with two OLi2Mn2 trigonal pyramids. In the eighteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+ and two Mn4+ atoms. In the nineteenth O2- site, O2- is bonded to one Li1+ and three Mn4+ atoms to form distorted OLiMn3 trigonal pyramids that share corners with three OMn3Ni tetrahedra and corners with four OLiMn2Ni trigonal pyramids. In the twentieth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+ and two Mn4+ atoms. In the twenty-first O2- site, O2- is bonded to one Li1+, two Mn4+, and one Ni2+ atom to form distorted O

36 MATERIALS SCIENCE↗

Materials Data on Li2Ti3NiO8 by Materials Project

Li2NiTi3O8 is Spinel-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three LiO4 tetrahedra, corners with three NiO4 tetrahedra, and edges with six TiO6 octahedra. There are a spread of Li–O bond distances ranging from 2.14–2.17 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three LiO6 octahedra and corners with nine TiO6 octahedra. The corner-sharing octahedra tilt angles range from 54–64°. There are a spread of Li–O bond distances ranging from 1.99–2.02 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three LiO6 octahedra and corners with nine TiO6 octahedra. The corner-sharing octahedra tilt angles range from 55–64°. There are a spread of Li–O bond distances ranging from 2.00–2.02 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three LiO4 tetrahedra, corners with three NiO4 tetrahedra, and edges with six TiO6 octahedra. There are a spread of Li–O bond distances ranging from 2.11–2.16 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three LiO4 tetrahedra, corners with three NiO4 tetrahedra, and edges with six TiO6 octahedra. There are a spread of Li–O bond distances ranging from 2.12–2.15 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three LiO6 octahedra and corners with nine TiO6 octahedra. The corner-sharing octahedra tilt angles range from 55–64°. There are two shorter (2.00 Å) and two longer (2.01 Å) Li–O bond lengths. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three LiO6 octahedra and corners with nine TiO6 octahedra. The corner-sharing octahedra tilt angles range from 55–64°. There are three shorter (2.00 Å) and one longer (2.01 Å) Li–O bond lengths. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three LiO4 tetrahedra, corners with three NiO4 tetrahedra, and edges with six TiO6 octahedra. There are a spread of Li–O bond distances ranging from 2.11–2.15 Å. There are twelve inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with three LiO4 tetrahedra, corners with three NiO4 tetrahedra, edges with two LiO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.88–2.07 Å. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with three LiO4 tetrahedra, corners with three NiO4 tetrahedra, edges with two LiO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.87–2.10 Å. In the third Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with three LiO4 tetrahedra, corners with three NiO4 tetrahedra, edges with two LiO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.88–2.09 Å. In the fourth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with three LiO4 tetrahedra, corners with three NiO4 tetrahedra, edges with two LiO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.88–2.07 Å. In the fifth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with three LiO4 tetrahedra, corners with three NiO4 tetrahedra, edges with two LiO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.87–2.10 Å. In the sixth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with three LiO4 tetrahedra, corners with three NiO4 tetrahedra, edges with two LiO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.88–2.09 Å. In the seventh Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with three LiO4 tetrahedra, corners with three NiO4 tetrahedra, edges with two LiO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.88–2.08 Å. In the eighth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with three LiO4 tetrahedra, corners with three NiO4 tetrahedra, edges with two LiO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.88–2.10 Å. In the ninth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with three LiO4 tetrahedra, corners with three NiO4 tetrahedra, edges with two LiO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.88–2.10 Å. In the tenth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with three LiO4 tetrahedra, corners with three NiO4 tetrahedra, edges with two LiO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.88–2.08 Å. In the eleventh Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with three LiO4 tetrahedra, corners with three NiO4 tetrahedra, edges with two LiO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.87–2.11 Å. In the twelfth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with three LiO4 tetrahedra, corners with three NiO4 tetrahedra, edges with two LiO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.88–2.09 Å. There are four inequivalent Ni2+ sites. In the first Ni2+ site, Ni2+ is bonded to four O2- atoms to form NiO4 tetrahedra that share corners with three LiO6 octahedra and corners with nine TiO6 octahedra. The corner-sharing octahedra tilt angles range from 56–65°. There are a spread of Ni–O bond distances ranging from 1.97–2.01 Å. In the second Ni2+ site, Ni2+ is bonded to four O2- atoms to form NiO4 tetrahedra that share corners with three LiO6 octahedra and corners with nine TiO6 octahedra. The corner-sharing octahedra tilt angles range from 55–64°. There are a spread of Ni–O bond distances ranging from 1.98–2.00 Å. In the third Ni2+ site, Ni2+ is bonded to four O2- atoms to form NiO4 tetrahedra that share corners with three LiO6 octahedra and corners with nine TiO6 octahedra. The corner-sharing octahedra tilt angles range from 56–65°. There are a spread of Ni–O bond distances ranging from 1.98–2.01 Å. In the fourth Ni2+ site, Ni2+ is bonded to four O2- atoms to form NiO4 tetrahedra that share corners with three LiO6 octahedra and corners with nine TiO6 octahedra. The corner-sharing octahedra tilt angles range from 56–64°. There is three shorter (1.98 Å) and one longer (2.01 Å) Ni–O bond length. There are thirty-two inequivalent O2- sites. In the first O2- site, O2- is bonded to two Li1+ and two Ti4+ atoms to form distorted OLi2Ti2 trigonal pyramids that share corners with twelve OLiTi2Ni trigonal pyramids and edges with three OLi2Ti2 trigonal pyramids. In the second O2- site, O2- is bonded to two Li1+ and two Ti4+ atoms to form distorted OLi2Ti2 trigonal pyramids that share corners with twelve OLiTi2Ni trigonal pyramids and edges with three OLi2Ti2 trigonal pyramids. In the third O2- site, O2- is bonded to one Li1+ and three Ti4+ atoms to form distorted OLiTi3 trigonal pyramids that share corners with twelve OLiTi2Ni trigonal pyramids and edges with three OLi2Ti2 trigonal pyramids. In the fourth O2- site, O2- is bonded to two Li1+ and two Ti4+ atoms to form distorted OLi2Ti2 trigonal pyramids that share corners with twelve OLiTi2Ni trigonal pyramids and edges with three OLiTi3 trigonal pyramids. In the fifth O2- site, O2- is bonded to one Li1+, two Ti4+, and one Ni2+ atom to form distorted OLiTi2Ni trigonal pyramids that share corners with twelve OLi2Ti2 trigonal pyramids and edges with three OLiTi2Ni trigonal pyramids. In the sixth O2- site, O2- is bonded to three Ti4+ and one Ni2+ atom to form distorted OTi3Ni trigonal pyramids that share corners with twelve OLi2Ti2 trigonal pyramids and edges with three OLiTi2Ni trigonal pyramids. In the seventh O2- site, O2- is bonded to one Li1+, two Ti4+, and one Ni2+ atom to form distorted OLiTi2Ni trigonal pyramids that share corners with twelve OLi2Ti2 trigonal pyramids and edges with three OTi3Ni trigonal pyramids. In the eighth O2- site, O2- is bonded to one Li1+, two Ti4+, and one Ni2+ atom to form distorted OLiTi2Ni trigonal pyramids that share corners with twelve OLi2Ti2 trigonal pyramids and edges with three OTi3Ni trigonal pyramids. In the ninth O2- site, O2- is bonded to one Li1+, two Ti4+, and one Ni2+ atom to form a mixture of distorted corner and edge-sharing OLiTi2Ni trigonal pyramids. In the tenth O2- site, O2- is bonded to one Li1+, two Ti4+, and one Ni2+ atom to form distorted OLiTi2Ni trigonal pyramids that share corners with twelve OTi3Ni trigonal pyramids and edges with three OLiTi2Ni trigonal pyramids. In the eleventh O2- site, O2- is bonded to three Ti4+ and one Ni2+ atom to form a mixture of distorted corner and edge-sharing OTi3Ni trigonal pyramids. In the twelfth O2- site, O2- is bonded to one Li1+, two Ti4+, and one Ni2+ atom to form distorted OLiTi2Ni trigonal pyramids that share corners with twelve OLiTi2Ni trigonal pyramids and edges with three OTi3Ni trigonal pyramids. In the thirteenth O2- site, O2- is bonded to two Li1+ and two Ti4+ atoms to form distorted OLi2Ti2 trigonal pyramids that share corners with twelve OLiTi2Ni trigonal pyramids and edges with three OLi2Ti2 trigonal pyramids. In the fourteenth O2- site, O2- is bonded to one Li1+ and three Ti4+ atoms to form distorted OLiTi3 trigonal pyramids that share corners with twelve OLiTi2Ni trigonal pyramids and edges with three OLi2Ti2 trigonal pyramids. In the fifteenth O2- site, O2- is bonded to two Li1+ and two Ti4+ atoms to form distorted OLi2Ti2 trigonal pyramids that share corners with twelve OLiTi2Ni trigonal pyramids and edges with three OLiTi3 trigonal pyramids. In the sixteenth O2- site, O2- is bonded to two Li1+ and two Ti4+ atoms to form distorted OLi2Ti2 trigonal pyramids that share corners with twelve OLiTi2Ni trigonal pyramids and edges with three OLiTi3 trigonal pyramids. In the seventeenth O2- site, O2- is bonded to two Li1+ and two Ti4+ atoms to form distorted OLi2Ti2 trigonal pyramids that share corners with twelve OLiTi2Ni trigonal pyramids and edges with three OLi2Ti2 trigonal pyramids. In the eighteenth O2- site, O2- is bonded to two Li1+ and two Ti4+ atoms to form distorted OLi2Ti2 trigonal pyramids that share corners with twelve OTi3Ni trigonal pyramids and edges with three OLi2Ti2 trigonal pyramids. In the nineteenth O2- site, O2- is bonded to one Li1+ and three Ti4+ atoms to form distorted OLiTi3 trigonal pyramids that share corners with twelve OTi3Ni trigonal pyramids and edges with three OLi2Ti2 trigonal pyramids. In the twentieth O2- site, O2- is bonded to two Li1+ and two Ti4+ atoms to form distorted OLi2Ti2 trigonal pyramids that share corners with twelve OLiTi2Ni trigonal pyramids and edges with three OLiTi3 trigonal pyramids. In the twenty-first O2- site, O2- is bonded to one Li1+, two Ti4+, and one Ni2+ atom to form a mixture of distorted corner and edge-sharing OLiTi2Ni trigonal pyramids. In the twenty-second O2- site, O2- is bonded to three Ti4+ and one Ni2+ atom to form a mixture of distorted corner and edge-sharing OTi3Ni trigonal pyramids. In the twenty-third O2- site, O2- is bonded to one Li1+,

36 MATERIALS SCIENCE↗

Materials Data on Hf2N2O by Materials Project

Hf2ON2 is Ilmenite-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are sixteen inequivalent Hf4+ sites. In the first Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form HfN4O2 octahedra that share corners with five HfN2O4 octahedra, a cornercorner with one HfN3O3 pentagonal pyramid, edges with five HfN4O2 octahedra, and an edgeedge with one HfN3O3 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 52–59°. There are a spread of Hf–N bond distances ranging from 2.10–2.21 Å. There are one shorter (2.24 Å) and one longer (2.27 Å) Hf–O bond lengths. In the second Hf4+ site, Hf4+ is bonded to three N3- and three O2- atoms to form a mixture of distorted edge and corner-sharing HfN3O3 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 51–53°. There are one shorter (2.07 Å) and two longer (2.16 Å) Hf–N bond lengths. There are a spread of Hf–O bond distances ranging from 2.15–2.23 Å. In the third Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form distorted HfN4O2 octahedra that share corners with six HfN5O octahedra, edges with four HfN4O2 octahedra, and edges with two HfN3O3 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Hf–N bond distances ranging from 2.09–2.15 Å. There are one shorter (2.32 Å) and one longer (2.33 Å) Hf–O bond lengths. In the fourth Hf4+ site, Hf4+ is bonded to two N3- and four O2- atoms to form distorted HfN2O4 octahedra that share corners with four HfN4O2 octahedra, corners with two HfN3O3 pentagonal pyramids, and edges with six HfN5O octahedra. The corner-sharing octahedra tilt angles range from 51–53°. There are one shorter (2.07 Å) and one longer (2.13 Å) Hf–N bond lengths. There are a spread of Hf–O bond distances ranging from 2.09–2.20 Å. In the fifth Hf4+ site, Hf4+ is bonded to three N3- and three O2- atoms to form distorted HfN3O3 pentagonal pyramids that share corners with six HfN2O4 octahedra and edges with six HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 48–56°. There are a spread of Hf–N bond distances ranging from 2.07–2.17 Å. There are two shorter (2.15 Å) and one longer (2.22 Å) Hf–O bond lengths. In the sixth Hf4+ site, Hf4+ is bonded to five N3- and one O2- atom to form distorted HfN5O octahedra that share corners with six HfN4O2 octahedra, edges with four HfN4O2 octahedra, and edges with two HfN3O3 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 53–59°. There are a spread of Hf–N bond distances ranging from 2.11–2.22 Å. The Hf–O bond length is 2.36 Å. In the seventh Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form distorted HfN4O2 octahedra that share corners with four HfN4O2 octahedra, corners with two HfN3O3 pentagonal pyramids, and edges with six HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 51–56°. There are a spread of Hf–N bond distances ranging from 2.12–2.21 Å. There are one shorter (2.14 Å) and one longer (2.18 Å) Hf–O bond lengths. In the eighth Hf4+ site, Hf4+ is bonded to three N3- and three O2- atoms to form distorted HfN3O3 octahedra that share corners with four HfN2O4 octahedra, corners with two HfN3O3 pentagonal pyramids, and edges with six HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 50–55°. There are a spread of Hf–N bond distances ranging from 2.10–2.20 Å. There are a spread of Hf–O bond distances ranging from 2.14–2.20 Å. In the ninth Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form HfN4O2 octahedra that share corners with five HfN2O4 octahedra, a cornercorner with one HfN3O3 pentagonal pyramid, edges with five HfN4O2 octahedra, and an edgeedge with one HfN3O3 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 50–59°. There are a spread of Hf–N bond distances ranging from 2.10–2.18 Å. There are one shorter (2.24 Å) and one longer (2.27 Å) Hf–O bond lengths. In the tenth Hf4+ site, Hf4+ is bonded to three N3- and three O2- atoms to form HfN3O3 octahedra that share corners with five HfN4O2 octahedra, a cornercorner with one HfN3O3 pentagonal pyramid, edges with five HfN2O4 octahedra, and an edgeedge with one HfN3O3 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 53–58°. There are a spread of Hf–N bond distances ranging from 2.11–2.16 Å. There are a spread of Hf–O bond distances ranging from 2.14–2.22 Å. In the eleventh Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form distorted HfN4O2 octahedra that share corners with six HfN4O2 octahedra, edges with four HfN2O4 octahedra, and edges with two HfN3O3 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 53–61°. There are a spread of Hf–N bond distances ranging from 2.11–2.21 Å. There are one shorter (2.22 Å) and one longer (2.29 Å) Hf–O bond lengths. In the twelfth Hf4+ site, Hf4+ is bonded to five N3- and one O2- atom to form HfN5O octahedra that share corners with five HfN4O2 octahedra, a cornercorner with one HfN3O3 pentagonal pyramid, edges with five HfN2O4 octahedra, and an edgeedge with one HfN3O3 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 54–61°. There are a spread of Hf–N bond distances ranging from 2.11–2.22 Å. The Hf–O bond length is 2.28 Å. In the thirteenth Hf4+ site, Hf4+ is bonded to five N3- and one O2- atom to form a mixture of distorted edge and corner-sharing HfN5O octahedra. The corner-sharing octahedra tilt angles range from 53–57°. There are a spread of Hf–N bond distances ranging from 2.11–2.21 Å. The Hf–O bond length is 2.28 Å. In the fourteenth Hf4+ site, Hf4+ is bonded to six N3- atoms to form distorted HfN6 octahedra that share corners with four HfN4O2 octahedra, corners with two HfN3O3 pentagonal pyramids, and edges with six HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 53–54°. There are a spread of Hf–N bond distances ranging from 2.13–2.28 Å. In the fifteenth Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form distorted HfN4O2 octahedra that share corners with six HfN4O2 octahedra, edges with four HfN4O2 octahedra, and edges with two HfN3O3 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 53–58°. There are a spread of Hf–N bond distances ranging from 2.08–2.18 Å. There are one shorter (2.30 Å) and one longer (2.35 Å) Hf–O bond lengths. In the sixteenth Hf4+ site, Hf4+ is bonded to five N3- and one O2- atom to form distorted HfN5O octahedra that share corners with six HfN4O2 octahedra and edges with six HfN2O4 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Hf–N bond distances ranging from 2.12–2.23 Å. The Hf–O bond length is 2.25 Å. There are sixteen inequivalent N3- sites. In the first N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 tetrahedra that share corners with five NHf4 tetrahedra, corners with two OHf4 trigonal pyramids, corners with five NHf4 trigonal pyramids, an edgeedge with one NHf4 trigonal pyramid, and edges with three OHf4 trigonal pyramids. In the second N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 tetrahedra that share a cornercorner with one OHf4 tetrahedra, corners with four NHf4 tetrahedra, corners with two OHf4 trigonal pyramids, corners with five NHf4 trigonal pyramids, an edgeedge with one NHf4 trigonal pyramid, and edges with three OHf4 trigonal pyramids. In the third N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share a cornercorner with one OHf4 tetrahedra, corners with seven NHf4 tetrahedra, a cornercorner with one OHf4 trigonal pyramid, corners with three NHf4 trigonal pyramids, an edgeedge with one NHf4 trigonal pyramid, and edges with three OHf4 trigonal pyramids. In the fourth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share a cornercorner with one OHf4 tetrahedra, corners with seven NHf4 tetrahedra, a cornercorner with one OHf4 trigonal pyramid, corners with three NHf4 trigonal pyramids, an edgeedge with one NHf4 trigonal pyramid, and edges with three OHf4 trigonal pyramids. In the fifth N3- site, N3- is bonded to four Hf4+ atoms to form NHf4 trigonal pyramids that share corners with three NHf4 tetrahedra, corners with four NHf4 trigonal pyramids, corners with five OHf4 trigonal pyramids, an edgeedge with one NHf4 tetrahedra, and edges with three NHf4 trigonal pyramids. In the sixth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 tetrahedra that share corners with five NHf4 tetrahedra, corners with two OHf4 trigonal pyramids, corners with five NHf4 trigonal pyramids, an edgeedge with one NHf4 trigonal pyramid, and edges with three OHf4 trigonal pyramids. In the seventh N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with six NHf4 trigonal pyramids, corners with six OHf4 trigonal pyramids, an edgeedge with one OHf4 tetrahedra, and edges with three NHf4 tetrahedra. In the eighth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 tetrahedra that share a cornercorner with one OHf4 tetrahedra, corners with four NHf4 tetrahedra, corners with two OHf4 trigonal pyramids, corners with five NHf4 trigonal pyramids, edges with two NHf4 trigonal pyramids, and edges with two OHf4 trigonal pyramids. In the ninth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 tetrahedra that share a cornercorner with one OHf4 tetrahedra, corners with four NHf4 tetrahedra, corners with two OHf4 trigonal pyramids, corners with five NHf4 trigonal pyramids, edges with two NHf4 trigonal pyramids, and edges with two OHf4 trigonal pyramids. In the tenth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 tetrahedra that share a cornercorner with one OHf4 tetrahedra, corners with five NHf4 tetrahedra, corners with two OHf4 trigonal pyramids, corners with four NHf4 trigonal pyramids, an edgeedge with one NHf4 trigonal pyramid, and edges with three OHf4 trigonal pyramids. In the eleventh N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with six NHf4 trigonal pyramids, corners with six OHf4 trigonal pyramids, an edgeedge with one OHf4 tetrahedra, edges with two NHf4 tetrahedra, and an edgeedge with one NHf4 trigonal pyramid. In the twelfth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share a cornercorner with one OHf4 tetrahedra, corners with five NHf4 tetrahedra, corners with two OHf4 trigonal pyramids, corners with four NHf4 trigonal pyramids, an edgeedge with one OHf4 trigonal pyramid, and edges with three NHf4 trigonal pyramids. In the thirteenth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share a cornercorner with one OHf4 tetrahedra, corners with two NHf4 tetrahedra, corners with four NHf4 trigonal pyramids, corners with five OHf4 trigonal pyramids, edges with two NHf4 tetrahedra, and edges with two NHf4 trigonal pyramids. In the fourteenth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 tetrahedra that share a cornercorner with one OHf4 tetrahedra, corners with five NHf4 tetrahedra, corners with two OHf4 trigonal pyramids, corners with four NHf4 trigonal pyramids, edges with two NHf4 trigonal pyramids, and edges with two OHf4 trigonal pyramids. In the fifteenth N3- site, N3- is bonded to four Hf4+ atoms to form NHf4 trigonal pyramids that share corners with two NHf4 tetrahedra, corners with five NHf4 trigonal pyramids, corners with five OHf4 trigonal pyramids, edges with two NHf4 tetrahedra, and edges with two NHf4 trigonal pyramids. In the sixteenth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share a cornercorner with one OHf4 tetrahedra, corners with seve

36 MATERIALS SCIENCE↗

Materials Data on LiCo3OF5 by Materials Project

LiCo3OF5 is Ilmenite-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are four inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to one O2- and five F1- atoms to form LiOF5 octahedra that share corners with four CoO2F4 octahedra, a cornercorner with one CoOF5 pentagonal pyramid, edges with five CoOF5 octahedra, and an edgeedge with one CoOF5 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 50–61°. The Li–O bond length is 2.05 Å. There are a spread of Li–F bond distances ranging from 2.08–2.20 Å. In the second Li1+ site, Li1+ is bonded to one O2- and five F1- atoms to form LiOF5 octahedra that share corners with five CoOF5 octahedra, edges with four CoO2F4 octahedra, and edges with two CoOF5 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 48–57°. The Li–O bond length is 2.02 Å. There are a spread of Li–F bond distances ranging from 2.05–2.17 Å. In the third Li1+ site, Li1+ is bonded to one O2- and five F1- atoms to form distorted LiOF5 octahedra that share corners with five CoOF5 octahedra, a cornercorner with one CoOF5 pentagonal pyramid, edges with four CoO2F4 octahedra, and an edgeedge with one CoOF5 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 46–65°. The Li–O bond length is 2.01 Å. There are a spread of Li–F bond distances ranging from 2.04–2.49 Å. In the fourth Li1+ site, Li1+ is bonded to one O2- and five F1- atoms to form distorted LiOF5 octahedra that share corners with four CoO2F4 octahedra, corners with two CoOF5 pentagonal pyramids, and edges with five CoOF5 octahedra. The corner-sharing octahedra tilt angles range from 53–63°. The Li–O bond length is 2.03 Å. There are a spread of Li–F bond distances ranging from 2.00–2.37 Å. There are twelve inequivalent Co2+ sites. In the first Co2+ site, Co2+ is bonded to one O2- and five F1- atoms to form distorted CoOF5 pentagonal pyramids that share corners with two LiOF5 octahedra, corners with three CoOF5 octahedra, a cornercorner with one CoOF5 pentagonal pyramid, edges with two LiOF5 octahedra, and edges with four CoO2F4 octahedra. The corner-sharing octahedra tilt angles range from 47–62°. The Co–O bond length is 1.94 Å. There are a spread of Co–F bond distances ranging from 2.07–2.21 Å. In the second Co2+ site, Co2+ is bonded to two O2- and four F1- atoms to form distorted CoO2F4 octahedra that share corners with two LiOF5 octahedra, corners with four CoO2F4 octahedra, edges with two LiOF5 octahedra, edges with two CoOF5 octahedra, and an edgeedge with one CoOF5 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 55–63°. There is one shorter (1.94 Å) and one longer (1.99 Å) Co–O bond length. There are a spread of Co–F bond distances ranging from 2.15–2.30 Å. In the third Co2+ site, Co2+ is bonded to one O2- and five F1- atoms to form distorted CoOF5 octahedra that share corners with two LiOF5 octahedra, corners with four CoO2F4 octahedra, edges with two LiOF5 octahedra, edges with two CoOF5 octahedra, and an edgeedge with one CoOF5 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 51–57°. The Co–O bond length is 1.95 Å. There are a spread of Co–F bond distances ranging from 2.09–2.21 Å. In the fourth Co2+ site, Co2+ is bonded to two O2- and four F1- atoms to form distorted CoO2F4 octahedra that share corners with two LiOF5 octahedra, corners with four CoO2F4 octahedra, an edgeedge with one CoF6 octahedra, edges with two LiOF5 octahedra, and edges with two CoOF5 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 52–62°. There is one shorter (1.95 Å) and one longer (1.99 Å) Co–O bond length. There are a spread of Co–F bond distances ranging from 2.16–2.31 Å. In the fifth Co2+ site, Co2+ is bonded to one O2- and five F1- atoms to form distorted CoOF5 octahedra that share a cornercorner with one CoF6 octahedra, corners with two LiOF5 octahedra, corners with two CoOF5 pentagonal pyramids, edges with two LiOF5 octahedra, and edges with four CoO2F4 octahedra. The corner-sharing octahedra tilt angles range from 53–65°. The Co–O bond length is 1.93 Å. There are a spread of Co–F bond distances ranging from 2.05–2.22 Å. In the sixth Co2+ site, Co2+ is bonded to six F1- atoms to form distorted CoF6 octahedra that share corners with two LiOF5 octahedra, corners with four CoO2F4 octahedra, edges with two LiOF5 octahedra, edges with three CoOF5 octahedra, and an edgeedge with one CoOF5 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 48–61°. There are a spread of Co–F bond distances ranging from 2.00–2.13 Å. In the seventh Co2+ site, Co2+ is bonded in a 6-coordinate geometry to two O2- and four F1- atoms. There are one shorter (2.00 Å) and one longer (2.02 Å) Co–O bond lengths. There are a spread of Co–F bond distances ranging from 2.10–2.29 Å. In the eighth Co2+ site, Co2+ is bonded to six F1- atoms to form distorted CoF6 octahedra that share corners with two LiOF5 octahedra, corners with four CoO2F4 octahedra, an edgeedge with one CoF6 octahedra, edges with two LiOF5 octahedra, and edges with two CoOF5 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 49–61°. There are a spread of Co–F bond distances ranging from 2.02–2.11 Å. In the ninth Co2+ site, Co2+ is bonded to one O2- and five F1- atoms to form distorted CoOF5 octahedra that share a cornercorner with one CoF6 octahedra, corners with two LiOF5 octahedra, corners with two CoOF5 pentagonal pyramids, edges with two LiOF5 octahedra, and edges with four CoO2F4 octahedra. The corner-sharing octahedra tilt angles range from 49–63°. The Co–O bond length is 1.93 Å. There are a spread of Co–F bond distances ranging from 2.06–2.24 Å. In the tenth Co2+ site, Co2+ is bonded to one O2- and five F1- atoms to form distorted CoOF5 pentagonal pyramids that share corners with two LiOF5 octahedra, corners with two CoOF5 octahedra, a cornercorner with one CoOF5 pentagonal pyramid, edges with two LiOF5 octahedra, and edges with four CoO2F4 octahedra. The corner-sharing octahedra tilt angles range from 47–60°. The Co–O bond length is 1.94 Å. There are a spread of Co–F bond distances ranging from 2.10–2.22 Å. In the eleventh Co2+ site, Co2+ is bonded to six F1- atoms to form distorted CoF6 octahedra that share corners with two LiOF5 octahedra, corners with two CoOF5 octahedra, a cornercorner with one CoOF5 pentagonal pyramid, edges with two LiOF5 octahedra, and edges with four CoO2F4 octahedra. The corner-sharing octahedra tilt angles range from 51–59°. There are a spread of Co–F bond distances ranging from 2.02–2.13 Å. In the twelfth Co2+ site, Co2+ is bonded to one O2- and five F1- atoms to form distorted CoOF5 octahedra that share corners with two LiOF5 octahedra, corners with four CoO2F4 octahedra, edges with two LiOF5 octahedra, edges with three CoOF5 octahedra, and an edgeedge with one CoOF5 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 46–63°. The Co–O bond length is 1.96 Å. There are a spread of Co–F bond distances ranging from 2.03–2.22 Å. There are four inequivalent O2- sites. In the first O2- site, O2- is bonded to one Li1+ and three Co2+ atoms to form OLiCo3 tetrahedra that share corners with two OLiCo3 tetrahedra, corners with four FLiCo3 tetrahedra, corners with five FLiCo3 trigonal pyramids, an edgeedge with one FLiCo3 tetrahedra, and edges with three FLiCo3 trigonal pyramids. In the second O2- site, O2- is bonded to one Li1+ and three Co2+ atoms to form OLiCo3 tetrahedra that share a cornercorner with one OLiCo3 tetrahedra, corners with four FLiCo3 tetrahedra, corners with seven FLiCo3 trigonal pyramids, and edges with three FLiCo3 trigonal pyramids. In the third O2- site, O2- is bonded to one Li1+ and three Co2+ atoms to form distorted OLiCo3 tetrahedra that share a cornercorner with one OLiCo3 tetrahedra, corners with five FLiCo3 tetrahedra, corners with five FLiCo3 trigonal pyramids, an edgeedge with one FLiCo3 tetrahedra, and edges with three FLiCo3 trigonal pyramids. In the fourth O2- site, O2- is bonded to one Li1+ and three Co2+ atoms to form distorted OLiCo3 tetrahedra that share corners with two OLiCo3 tetrahedra, corners with two FLiCo3 tetrahedra, corners with eight FLiCo3 trigonal pyramids, an edgeedge with one FLiCo3 tetrahedra, and edges with three FLiCo3 trigonal pyramids. There are twenty inequivalent F1- sites. In the first F1- site, F1- is bonded to one Li1+ and three Co2+ atoms to form distorted FLiCo3 trigonal pyramids that share a cornercorner with one OLiCo3 tetrahedra, corners with five FLiCo3 tetrahedra, corners with five FLiCo3 trigonal pyramids, edges with two OLiCo3 tetrahedra, and edges with two FLiCo3 trigonal pyramids. In the second F1- site, F1- is bonded to one Li1+ and three Co2+ atoms to form distorted FLiCo3 trigonal pyramids that share a cornercorner with one FLiCo3 tetrahedra, corners with three OLiCo3 tetrahedra, corners with eight FLiCo3 trigonal pyramids, an edgeedge with one FLiCo3 tetrahedra, and edges with two FLiCo3 trigonal pyramids. In the third F1- site, F1- is bonded to one Li1+ and three Co2+ atoms to form distorted FLiCo3 tetrahedra that share a cornercorner with one FLiCo3 tetrahedra, corners with two OLiCo3 tetrahedra, corners with nine FLiCo3 trigonal pyramids, an edgeedge with one OLiCo3 tetrahedra, an edgeedge with one FLiCo3 tetrahedra, and edges with two FLiCo3 trigonal pyramids. In the fourth F1- site, F1- is bonded to one Li1+ and three Co2+ atoms to form distorted FLiCo3 tetrahedra that share corners with two FLiCo3 tetrahedra, corners with three OLiCo3 tetrahedra, corners with six FLiCo3 trigonal pyramids, edges with two FLiCo3 tetrahedra, and edges with two FLiCo3 trigonal pyramids. In the fifth F1- site, F1- is bonded to one Li1+ and three Co2+ atoms to form distorted FLiCo3 trigonal pyramids that share corners with two OLiCo3 tetrahedra, corners with five FLiCo3 tetrahedra, corners with four FLiCo3 trigonal pyramids, edges with two OLiCo3 tetrahedra, and edges with two FLiCo3 trigonal pyramids. In the sixth F1- site, F1- is bonded to one Li1+ and three Co2+ atoms to form distorted FLiCo3 tetrahedra that share corners with two OLiCo3 tetrahedra, corners with two FLiCo3 tetrahedra, corners with eight FLiCo3 trigonal pyramids, an edgeedge with one OLiCo3 tetrahedra, edges with two FLiCo3 tetrahedra, and an edgeedge with one FLiCo3 trigonal pyramid. In the seventh F1- site, F1- is bonded to one Li1+ and three Co2+ atoms to form distorted FLiCo3 trigonal pyramids that share corners with two OLiCo3 tetrahedra, corners with five FLiCo3 tetrahedra, corners with four FLiCo3 trigonal pyramids, an edgeedge with one OLiCo3 tetrahedra, an edgeedge with one FLiCo3 tetrahedra, and edges with two FLiCo3 trigonal pyramids. In the eighth F1- site, F1- is bonded to one Li1+ and three Co2+ atoms to form distorted FLiCo3 trigonal pyramids that share corners with two FLiCo3 tetrahedra, corners with three OLiCo3 tetrahedra, corners with six FLiCo3 trigonal pyramids, an edgeedge with one OLiCo3 tetrahedra, an edgeedge with one FLiCo3 tetrahedra, and edges with two FLiCo3 trigonal pyramids. In the ninth F1- site, F1- is bonded to one Li1+ and three Co2+ atoms to form distorted FLiCo3 trigonal pyramids that share a cornercorner with one OLiCo3 tetrahedra, corners with four FLiCo3 tetrahedra, corners with seven FLiCo3 trigonal pyramids, an edgeedge with one OLiCo3 tetrahedra, edges with two FLiCo3 tetrahedra, and an edgeedge with one FLiCo3 trigonal pyramid. In the tenth F1- site, F1- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Co2+ atoms. In the eleventh F1- site, F1- is bonded to one Li1+ and three Co2+ atoms to form distorted FLiCo3 trigonal pyramids that share corners with two OLiCo3 tetrahedra, corners with four FLiCo3 tetrahedra, corners with five FLiCo3 trigonal pyramids, an edgeedg

36 MATERIALS SCIENCE↗

Materials Data on Mn23As16 by Materials Project

Mn23As16 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twenty-three inequivalent Mn2+ sites. In the first Mn2+ site, Mn2+ is bonded to five As+2.88- atoms to form MnAs5 square pyramids that share corners with four MnAs6 octahedra, corners with seven MnAs5 trigonal bipyramids, edges with four MnAs5 square pyramids, an edgeedge with one MnAs4 tetrahedra, edges with three MnAs5 trigonal bipyramids, and a faceface with one MnAs6 octahedra. The corner-sharing octahedra tilt angles range from 51–55°. There are a spread of Mn–As bond distances ranging from 2.43–2.55 Å. In the second Mn2+ site, Mn2+ is bonded to five As+2.88- atoms to form MnAs5 square pyramids that share corners with four MnAs6 octahedra, corners with two equivalent MnAs4 tetrahedra, corners with seven MnAs5 trigonal bipyramids, edges with four MnAs5 square pyramids, edges with three MnAs5 trigonal bipyramids, and a faceface with one MnAs6 octahedra. The corner-sharing octahedra tilt angles range from 52–55°. There are a spread of Mn–As bond distances ranging from 2.41–2.45 Å. In the third Mn2+ site, Mn2+ is bonded to five As+2.88- atoms to form MnAs5 square pyramids that share corners with four MnAs6 octahedra, corners with two equivalent MnAs4 tetrahedra, corners with seven MnAs5 trigonal bipyramids, edges with four MnAs5 square pyramids, an edgeedge with one MnAs4 tetrahedra, edges with three MnAs5 trigonal bipyramids, and a faceface with one MnAs6 octahedra. The corner-sharing octahedra tilt angles range from 50–54°. There are a spread of Mn–As bond distances ranging from 2.40–2.47 Å. In the fourth Mn2+ site, Mn2+ is bonded to five As+2.88- atoms to form MnAs5 square pyramids that share corners with four MnAs6 octahedra, corners with two equivalent MnAs4 tetrahedra, corners with seven MnAs5 trigonal bipyramids, edges with four MnAs5 square pyramids, an edgeedge with one MnAs4 tetrahedra, edges with three MnAs5 trigonal bipyramids, and a faceface with one MnAs6 octahedra. The corner-sharing octahedra tilt angles range from 52–54°. There are a spread of Mn–As bond distances ranging from 2.40–2.48 Å. In the fifth Mn2+ site, Mn2+ is bonded to five As+2.88- atoms to form MnAs5 trigonal bipyramids that share corners with three MnAs6 octahedra, corners with seven MnAs5 square pyramids, a cornercorner with one MnAs4 tetrahedra, corners with three MnAs5 trigonal bipyramids, edges with two MnAs6 octahedra, edges with three MnAs5 square pyramids, an edgeedge with one MnAs4 tetrahedra, and edges with two MnAs5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 32–52°. There are a spread of Mn–As bond distances ranging from 2.45–2.60 Å. In the sixth Mn2+ site, Mn2+ is bonded to five As+2.88- atoms to form MnAs5 trigonal bipyramids that share corners with three MnAs6 octahedra, corners with seven MnAs5 square pyramids, corners with three MnAs5 trigonal bipyramids, edges with two MnAs6 octahedra, edges with three MnAs5 square pyramids, an edgeedge with one MnAs4 tetrahedra, and edges with two MnAs5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 29–52°. There are a spread of Mn–As bond distances ranging from 2.44–2.60 Å. In the seventh Mn2+ site, Mn2+ is bonded to five As+2.88- atoms to form distorted MnAs5 trigonal bipyramids that share corners with three MnAs6 octahedra, corners with seven MnAs5 square pyramids, a cornercorner with one MnAs4 tetrahedra, corners with three MnAs5 trigonal bipyramids, edges with two MnAs6 octahedra, edges with three MnAs5 square pyramids, edges with two MnAs4 tetrahedra, and edges with two MnAs5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 26–47°. There are a spread of Mn–As bond distances ranging from 2.52–2.69 Å. In the eighth Mn2+ site, Mn2+ is bonded to five As+2.88- atoms to form distorted MnAs5 trigonal bipyramids that share corners with three MnAs6 octahedra, corners with seven MnAs5 square pyramids, a cornercorner with one MnAs4 tetrahedra, corners with three MnAs5 trigonal bipyramids, edges with two MnAs6 octahedra, edges with three MnAs5 square pyramids, edges with two MnAs4 tetrahedra, and edges with two MnAs5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 27–47°. There are a spread of Mn–As bond distances ranging from 2.53–2.69 Å. In the ninth Mn2+ site, Mn2+ is bonded to five As+2.88- atoms to form MnAs5 trigonal bipyramids that share corners with two equivalent MnAs6 octahedra, corners with eight MnAs5 square pyramids, a cornercorner with one MnAs5 trigonal bipyramid, edges with three MnAs6 octahedra, edges with two MnAs5 square pyramids, an edgeedge with one MnAs4 tetrahedra, and edges with four MnAs5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 21°. There are a spread of Mn–As bond distances ranging from 2.46–2.52 Å. In the tenth Mn2+ site, Mn2+ is bonded to five As+2.88- atoms to form MnAs5 trigonal bipyramids that share corners with two equivalent MnAs6 octahedra, corners with eight MnAs5 square pyramids, a cornercorner with one MnAs5 trigonal bipyramid, edges with three MnAs6 octahedra, edges with two MnAs5 square pyramids, an edgeedge with one MnAs4 tetrahedra, and edges with four MnAs5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 21–22°. There are a spread of Mn–As bond distances ranging from 2.47–2.53 Å. In the eleventh Mn2+ site, Mn2+ is bonded to five As+2.88- atoms to form distorted MnAs5 trigonal bipyramids that share corners with two equivalent MnAs6 octahedra, corners with eight MnAs5 square pyramids, a cornercorner with one MnAs5 trigonal bipyramid, edges with three MnAs6 octahedra, edges with two MnAs5 square pyramids, edges with two MnAs4 tetrahedra, and edges with four MnAs5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 19°. There are a spread of Mn–As bond distances ranging from 2.48–2.57 Å. In the twelfth Mn2+ site, Mn2+ is bonded to five As+2.88- atoms to form distorted MnAs5 trigonal bipyramids that share corners with two equivalent MnAs6 octahedra, corners with eight MnAs5 square pyramids, a cornercorner with one MnAs5 trigonal bipyramid, edges with three MnAs6 octahedra, edges with two MnAs5 square pyramids, edges with two MnAs4 tetrahedra, and edges with four MnAs5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 19°. There are a spread of Mn–As bond distances ranging from 2.48–2.56 Å. In the thirteenth Mn2+ site, Mn2+ is bonded to six As+2.88- atoms to form MnAs6 octahedra that share corners with eight MnAs5 square pyramids, corners with two equivalent MnAs4 tetrahedra, corners with six MnAs5 trigonal bipyramids, edges with two equivalent MnAs6 octahedra, edges with two MnAs4 tetrahedra, edges with four MnAs5 trigonal bipyramids, and faces with two MnAs5 square pyramids. There are a spread of Mn–As bond distances ranging from 2.49–2.62 Å. In the fourteenth Mn2+ site, Mn2+ is bonded to six As+2.88- atoms to form MnAs6 octahedra that share corners with eight MnAs5 square pyramids, corners with four MnAs4 tetrahedra, corners with six MnAs5 trigonal bipyramids, edges with two equivalent MnAs6 octahedra, an edgeedge with one MnAs4 tetrahedra, edges with four MnAs5 trigonal bipyramids, and faces with two MnAs5 square pyramids. There are a spread of Mn–As bond distances ranging from 2.49–2.57 Å. In the fifteenth Mn2+ site, Mn2+ is bonded to five As+2.88- atoms to form distorted MnAs5 square pyramids that share corners with four MnAs6 octahedra, a cornercorner with one MnAs4 tetrahedra, corners with eight MnAs5 trigonal bipyramids, edges with four MnAs5 square pyramids, an edgeedge with one MnAs4 tetrahedra, edges with two MnAs5 trigonal bipyramids, and a faceface with one MnAs6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Mn–As bond distances ranging from 2.45–2.57 Å. In the sixteenth Mn2+ site, Mn2+ is bonded to five As+2.88- atoms to form distorted MnAs5 square pyramids that share corners with four MnAs6 octahedra, a cornercorner with one MnAs4 tetrahedra, corners with eight MnAs5 trigonal bipyramids, edges with four MnAs5 square pyramids, an edgeedge with one MnAs4 tetrahedra, edges with two MnAs5 trigonal bipyramids, and a faceface with one MnAs6 octahedra. The corner-sharing octahedra tilt angles range from 54–57°. There are a spread of Mn–As bond distances ranging from 2.45–2.59 Å. In the seventeenth Mn2+ site, Mn2+ is bonded to five As+2.88- atoms to form distorted MnAs5 square pyramids that share corners with four MnAs6 octahedra, corners with eight MnAs5 trigonal bipyramids, edges with four MnAs5 square pyramids, edges with two MnAs4 tetrahedra, edges with two MnAs5 trigonal bipyramids, and a faceface with one MnAs6 octahedra. The corner-sharing octahedra tilt angles range from 53–59°. There are a spread of Mn–As bond distances ranging from 2.43–2.54 Å. In the eighteenth Mn2+ site, Mn2+ is bonded to five As+2.88- atoms to form distorted MnAs5 square pyramids that share corners with four MnAs6 octahedra, a cornercorner with one MnAs4 tetrahedra, corners with eight MnAs5 trigonal bipyramids, edges with four MnAs5 square pyramids, edges with two MnAs4 tetrahedra, edges with two MnAs5 trigonal bipyramids, and a faceface with one MnAs6 octahedra. The corner-sharing octahedra tilt angles range from 53–58°. There are a spread of Mn–As bond distances ranging from 2.40–2.54 Å. In the nineteenth Mn2+ site, Mn2+ is bonded to six As+2.88- atoms to form MnAs6 octahedra that share corners with eight MnAs5 square pyramids, corners with four MnAs4 tetrahedra, corners with four MnAs5 trigonal bipyramids, edges with two equivalent MnAs6 octahedra, edges with six MnAs5 trigonal bipyramids, and faces with two MnAs5 square pyramids. There are a spread of Mn–As bond distances ranging from 2.50–2.59 Å. In the twentieth Mn2+ site, Mn2+ is bonded to six As+2.88- atoms to form MnAs6 octahedra that share corners with eight MnAs5 square pyramids, corners with five MnAs4 tetrahedra, corners with four MnAs5 trigonal bipyramids, edges with two equivalent MnAs6 octahedra, edges with six MnAs5 trigonal bipyramids, and faces with two MnAs5 square pyramids. There are a spread of Mn–As bond distances ranging from 2.48–2.58 Å. In the twenty-first Mn2+ site, Mn2+ is bonded to four As+2.88- atoms to form distorted MnAs4 tetrahedra that share corners with five MnAs6 octahedra, corners with three MnAs5 square pyramids, a cornercorner with one MnAs5 trigonal bipyramid, an edgeedge with one MnAs6 octahedra, edges with three MnAs5 square pyramids, and edges with four MnAs5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 20–50°. There are a spread of Mn–As bond distances ranging from 2.35–2.46 Å. In the twenty-second Mn2+ site, Mn2+ is bonded to four As+2.88- atoms to form distorted MnAs4 tetrahedra that share corners with five MnAs6 octahedra, corners with three MnAs5 square pyramids, corners with two equivalent MnAs4 tetrahedra, a cornercorner with one MnAs5 trigonal bipyramid, an edgeedge with one MnAs6 octahedra, edges with three MnAs5 square pyramids, and edges with four MnAs5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 23–51°. There are a spread of Mn–As bond distances ranging from 2.40–2.45 Å. In the twenty-third Mn2+ site, Mn2+ is bonded to four As+2.88- atoms to form distorted MnAs4 tetrahedra that share corners with five MnAs6 octahedra, corners with three MnAs5 square pyramids, corners with two equivalent MnAs4 tetrahedra, a cornercorner with one MnAs5 trigonal bipyramid, an edgeedge with one MnAs6 octahedra, edges with three MnAs5 square pyramids, and edges with four MnAs5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 21–51°. There are a spread of Mn–As bond distances ranging from 2.39–2.45 Å. There are sixteen inequivalent As+2.88- sites. In the first As+2.88- site, As+2.88- is bonded in

36 MATERIALS SCIENCE↗