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Materials Data on Li10Zn7(PS4)8 by Materials Project

Li10Zn7(PS4)8 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are ten inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four S2- atoms to form distorted LiS4 tetrahedra that share corners with three ZnS4 tetrahedra, corners with four PS4 tetrahedra, and corners with five LiS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.54–2.62 Å. In the second Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share a cornercorner with one LiS4 tetrahedra, corners with four ZnS4 tetrahedra, and corners with four PS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.43–2.48 Å. In the third Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share a cornercorner with one LiS4 tetrahedra, corners with four ZnS4 tetrahedra, and corners with four PS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.39–2.48 Å. In the fourth Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share corners with two LiS4 tetrahedra, corners with three ZnS4 tetrahedra, and corners with four PS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.41–2.50 Å. In the fifth Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share corners with two LiS4 tetrahedra, corners with three ZnS4 tetrahedra, and corners with four PS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.43–2.47 Å. In the sixth Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share corners with four ZnS4 tetrahedra and corners with four PS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.43–2.46 Å. In the seventh Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share corners with four ZnS4 tetrahedra and corners with four PS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.46–2.48 Å. In the eighth Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share a cornercorner with one LiS4 tetrahedra, corners with three ZnS4 tetrahedra, and corners with four PS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.43–2.49 Å. In the ninth Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share a cornercorner with one LiS4 tetrahedra, corners with three ZnS4 tetrahedra, and corners with four PS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.41–2.50 Å. In the tenth Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share corners with four PS4 tetrahedra and corners with five LiS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.38–2.43 Å. There are seven inequivalent Zn2+ sites. In the first Zn2+ site, Zn2+ is bonded to four S2- atoms to form ZnS4 tetrahedra that share corners with four PS4 tetrahedra and corners with five LiS4 tetrahedra. There are a spread of Zn–S bond distances ranging from 2.33–2.41 Å. In the second Zn2+ site, Zn2+ is bonded to four S2- atoms to form ZnS4 tetrahedra that share corners with four PS4 tetrahedra and corners with five LiS4 tetrahedra. There are a spread of Zn–S bond distances ranging from 2.35–2.38 Å. In the third Zn2+ site, Zn2+ is bonded to four S2- atoms to form ZnS4 tetrahedra that share corners with four PS4 tetrahedra and corners with five LiS4 tetrahedra. There are three shorter (2.35 Å) and one longer (2.40 Å) Zn–S bond lengths. In the fourth Zn2+ site, Zn2+ is bonded to four S2- atoms to form ZnS4 tetrahedra that share corners with four LiS4 tetrahedra and corners with four PS4 tetrahedra. There are three shorter (2.37 Å) and one longer (2.38 Å) Zn–S bond lengths. In the fifth Zn2+ site, Zn2+ is bonded to four S2- atoms to form ZnS4 tetrahedra that share corners with four LiS4 tetrahedra and corners with four PS4 tetrahedra. There are a spread of Zn–S bond distances ranging from 2.36–2.38 Å. In the sixth Zn2+ site, Zn2+ is bonded to four S2- atoms to form ZnS4 tetrahedra that share corners with four LiS4 tetrahedra and corners with four PS4 tetrahedra. There are a spread of Zn–S bond distances ranging from 2.35–2.39 Å. In the seventh Zn2+ site, Zn2+ is bonded to four S2- atoms to form ZnS4 tetrahedra that share corners with four LiS4 tetrahedra and corners with four PS4 tetrahedra. There are a spread of Zn–S bond distances ranging from 2.35–2.39 Å. There are eight inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four S2- atoms to form PS4 tetrahedra that share corners with three ZnS4 tetrahedra and corners with six LiS4 tetrahedra. There are a spread of P–S bond distances ranging from 2.01–2.12 Å. In the second P5+ site, P5+ is bonded to four S2- atoms to form PS4 tetrahedra that share corners with three ZnS4 tetrahedra and corners with six LiS4 tetrahedra. There are two shorter (2.06 Å) and two longer (2.07 Å) P–S bond lengths. In the third P5+ site, P5+ is bonded to four S2- atoms to form PS4 tetrahedra that share corners with four ZnS4 tetrahedra and corners with five LiS4 tetrahedra. There are a spread of P–S bond distances ranging from 2.05–2.10 Å. In the fourth P5+ site, P5+ is bonded to four S2- atoms to form PS4 tetrahedra that share corners with four ZnS4 tetrahedra and corners with five LiS4 tetrahedra. There are a spread of P–S bond distances ranging from 2.05–2.10 Å. In the fifth P5+ site, P5+ is bonded to four S2- atoms to form PS4 tetrahedra that share corners with three ZnS4 tetrahedra and corners with five LiS4 tetrahedra. There are a spread of P–S bond distances ranging from 2.02–2.08 Å. In the sixth P5+ site, P5+ is bonded to four S2- atoms to form PS4 tetrahedra that share corners with four LiS4 tetrahedra and corners with four ZnS4 tetrahedra. All P–S bond lengths are 2.06 Å. In the seventh P5+ site, P5+ is bonded to four S2- atoms to form PS4 tetrahedra that share corners with three ZnS4 tetrahedra and corners with five LiS4 tetrahedra. There are a spread of P–S bond distances ranging from 2.02–2.08 Å. In the eighth P5+ site, P5+ is bonded to four S2- atoms to form PS4 tetrahedra that share corners with four LiS4 tetrahedra and corners with four ZnS4 tetrahedra. There are three shorter (2.06 Å) and one longer (2.07 Å) P–S bond lengths. There are thirty-two inequivalent S2- sites. In the first S2- site, S2- is bonded in a trigonal non-coplanar geometry to one Li1+, one Zn2+, and one P5+ atom. In the second S2- site, S2- is bonded in a trigonal non-coplanar geometry to one Li1+, one Zn2+, and one P5+ atom. In the third S2- site, S2- is bonded in a trigonal non-coplanar geometry to one Li1+, one Zn2+, and one P5+ atom. In the fourth S2- site, S2- is bonded in a trigonal non-coplanar geometry to one Li1+, one Zn2+, and one P5+ atom. In the fifth S2- site, S2- is bonded in a trigonal non-coplanar geometry to two Li1+ and one P5+ atom. In the sixth S2- site, S2- is bonded in a trigonal non-coplanar geometry to one Li1+, one Zn2+, and one P5+ atom. In the seventh S2- site, S2- is bonded in a trigonal non-coplanar geometry to one Li1+, one Zn2+, and one P5+ atom. In the eighth S2- site, S2- is bonded in a trigonal non-coplanar geometry to one Li1+, one Zn2+, and one P5+ atom. In the ninth S2- site, S2- is bonded in a trigonal non-coplanar geometry to one Li1+, one Zn2+, and one P5+ atom. In the tenth S2- site, S2- is bonded in a trigonal non-coplanar geometry to one Li1+, one Zn2+, and one P5+ atom. In the eleventh S2- site, S2- is bonded in a trigonal non-coplanar geometry to one Li1+, one Zn2+, and one P5+ atom. In the twelfth S2- site, S2- is bonded in a trigonal non-coplanar geometry to one Li1+, one Zn2+, and one P5+ atom. In the thirteenth S2- site, S2- is bonded in a trigonal non-coplanar geometry to two Li1+ and one P5+ atom. In the fourteenth S2- site, S2- is bonded in a trigonal non-coplanar geometry to one Li1+, one Zn2+, and one P5+ atom. In the fifteenth S2- site, S2- is bonded in a trigonal non-coplanar geometry to one Li1+, one Zn2+, and one P5+ atom. In the sixteenth S2- site, S2- is bonded in a trigonal non-coplanar geometry to one Li1+, one Zn2+, and one P5+ atom. In the seventeenth S2- site, S2- is bonded in a trigonal non-coplanar geometry to one Li1+, one Zn2+, and one P5+ atom. In the eighteenth S2- site, S2- is bonded in a trigonal non-coplanar geometry to one Li1+, one Zn2+, and one P5+ atom. In the nineteenth S2- site, S2- is bonded in a trigonal non-coplanar geometry to one Li1+, one Zn2+, and one P5+ atom. In the twentieth S2- site, S2- is bonded in a trigonal non-coplanar geometry to one Li1+, one Zn2+, and one P5+ atom. In the twenty-first S2- site, S2- is bonded in a trigonal non-coplanar geometry to one Li1+, one Zn2+, and one P5+ atom. In the twenty-second S2- site, S2- is bonded in a trigonal non-coplanar geometry to two Li1+ and one P5+ atom. In the twenty-third S2- site, S2- is bonded in a trigonal non-coplanar geometry to one Li1+, one Zn2+, and one P5+ atom. In the twenty-fourth S2- site, S2- is bonded in a trigonal non-coplanar geometry to one Li1+, one Zn2+, and one P5+ atom. In the twenty-fifth S2- site, S2- is bonded in a trigonal non-coplanar geometry to one Li1+, one Zn2+, and one P5+ atom. In the twenty-sixth S2- site, S2- is bonded in a trigonal non-coplanar geometry to one Li1+, one Zn2+, and one P5+ atom. In the twenty-seventh S2- site, S2- is bonded in a trigonal non-coplanar geometry to one Li1+, one Zn2+, and one P5+ atom. In the twenty-eighth S2- site, S2- is bonded in a trigonal non-coplanar geometry to one Li1+, one Zn2+, and one P5+ atom. In the twenty-ninth S2- site, S2- is bonded to two Li1+, one Zn2+, and one P5+ atom to form corner-sharing SLi2ZnP tetrahedra. In the thirtieth S2- site, S2- is bonded to three Li1+ and one P5+ atom to form corner-sharing SLi3P tetrahedra. In the thirty-first S2- site, S2- is bonded to two Li1+, one Zn2+, and one P5+ atom to form corner-sharing SLi2ZnP tetrahedra. In the thirty-second S2- site, S2- is bonded to two Li1+, one Zn2+, and one P5+ atom to form corner-sharing SLi2ZnP tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on SrLaTaNiO6 by Materials Project

SrLaTaNiO6 is Orthorhombic Perovskite-derived structured and crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are five inequivalent Sr2+ sites. In the first Sr2+ site, Sr2+ is bonded in a 11-coordinate geometry to seven O2- atoms. There are a spread of Sr–O bond distances ranging from 2.53–2.88 Å. In the second Sr2+ site, Sr2+ is bonded in a 11-coordinate geometry to eleven O2- atoms. There are a spread of Sr–O bond distances ranging from 2.43–3.08 Å. In the third Sr2+ site, Sr2+ is bonded in a 12-coordinate geometry to seven O2- atoms. There are a spread of Sr–O bond distances ranging from 2.45–2.91 Å. In the fourth Sr2+ site, Sr2+ is bonded in a 12-coordinate geometry to five O2- atoms. There are a spread of Sr–O bond distances ranging from 2.53–2.62 Å. In the fifth Sr2+ site, Sr2+ is bonded in a 1-coordinate geometry to eleven O2- atoms. There are a spread of Sr–O bond distances ranging from 2.39–3.10 Å. There are five inequivalent La3+ sites. In the first La3+ site, La3+ is bonded in a 1-coordinate geometry to five O2- atoms. There are a spread of La–O bond distances ranging from 2.26–2.60 Å. In the second La3+ site, La3+ is bonded in a 11-coordinate geometry to five O2- atoms. There are a spread of La–O bond distances ranging from 2.44–2.54 Å. In the third La3+ site, La3+ is bonded in a 9-coordinate geometry to five O2- atoms. There are two shorter (2.42 Å) and three longer (2.57 Å) La–O bond lengths. In the fourth La3+ site, La3+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of La–O bond distances ranging from 2.36–2.57 Å. In the fifth La3+ site, La3+ is bonded in a 1-coordinate geometry to seven O2- atoms. There are a spread of La–O bond distances ranging from 2.32–2.88 Å. There are five inequivalent Ta5+ sites. In the first Ta5+ site, Ta5+ is bonded to six O2- atoms to form TaO6 octahedra that share corners with two equivalent NiO6 octahedra and corners with four TaO6 octahedra. The corner-sharing octahedra tilt angles range from 19–26°. There are a spread of Ta–O bond distances ranging from 1.95–2.07 Å. In the second Ta5+ site, Ta5+ is bonded to six O2- atoms to form TaO6 octahedra that share corners with two equivalent TaO6 octahedra and corners with four NiO6 octahedra. The corner-sharing octahedra tilt angles range from 15–26°. There are a spread of Ta–O bond distances ranging from 1.95–2.08 Å. In the third Ta5+ site, Ta5+ is bonded to six O2- atoms to form TaO6 octahedra that share corners with two equivalent TaO6 octahedra and corners with four NiO6 octahedra. The corner-sharing octahedra tilt angles range from 16–23°. There are a spread of Ta–O bond distances ranging from 1.94–2.11 Å. In the fourth Ta5+ site, Ta5+ is bonded to six O2- atoms to form TaO6 octahedra that share corners with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 15–29°. There are a spread of Ta–O bond distances ranging from 1.98–2.03 Å. In the fifth Ta5+ site, Ta5+ is bonded to six O2- atoms to form TaO6 octahedra that share corners with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 21–32°. There are a spread of Ta–O bond distances ranging from 1.94–2.05 Å. There are five inequivalent Ni2+ sites. In the first Ni2+ site, Ni2+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six TaO6 octahedra. The corner-sharing octahedra tilt angles range from 15–23°. There are a spread of Ni–O bond distances ranging from 2.08–2.12 Å. In the second Ni2+ site, Ni2+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six TaO6 octahedra. The corner-sharing octahedra tilt angles range from 16–29°. There are a spread of Ni–O bond distances ranging from 2.07–2.16 Å. In the third Ni2+ site, Ni2+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with two equivalent NiO6 octahedra and corners with four TaO6 octahedra. The corner-sharing octahedra tilt angles range from 23–32°. There are a spread of Ni–O bond distances ranging from 2.03–2.15 Å. In the fourth Ni2+ site, Ni2+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with two equivalent NiO6 octahedra and corners with four TaO6 octahedra. The corner-sharing octahedra tilt angles range from 21–30°. There are a spread of Ni–O bond distances ranging from 2.03–2.13 Å. In the fifth Ni2+ site, Ni2+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with two equivalent TaO6 octahedra and corners with four NiO6 octahedra. The corner-sharing octahedra tilt angles range from 19–30°. There are a spread of Ni–O bond distances ranging from 2.05–2.12 Å. There are twenty inequivalent O2- sites. In the first O2- site, O2- is bonded in a 2-coordinate geometry to two Sr2+, one Ta5+, and one Ni2+ atom. In the second O2- site, O2- is bonded in a 5-coordinate geometry to three Sr2+ and two Ta5+ atoms. In the third O2- site, O2- is bonded in a 5-coordinate geometry to two equivalent Sr2+, one La3+, and two Ta5+ atoms. In the fourth O2- site, O2- is bonded in a 2-coordinate geometry to two Sr2+ and two Ta5+ atoms. In the fifth O2- site, O2- is bonded in a 4-coordinate geometry to three Sr2+, one Ta5+, and one Ni2+ atom. In the sixth O2- site, O2- is bonded in a 5-coordinate geometry to two equivalent Sr2+, one La3+, one Ta5+, and one Ni2+ atom. In the seventh O2- site, O2- is bonded in a 3-coordinate geometry to one Sr2+, one Ta5+, and one Ni2+ atom. In the eighth O2- site, O2- is bonded in a 4-coordinate geometry to three Sr2+, one Ta5+, and one Ni2+ atom. In the ninth O2- site, O2- is bonded in a 4-coordinate geometry to two La3+, one Ta5+, and one Ni2+ atom. In the tenth O2- site, O2- is bonded in a 5-coordinate geometry to two equivalent Sr2+, one La3+, one Ta5+, and one Ni2+ atom. In the eleventh O2- site, O2- is bonded in a 5-coordinate geometry to one Sr2+, one Ta5+, and one Ni2+ atom. In the twelfth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two La3+, one Ta5+, and one Ni2+ atom. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to two La3+, one Ta5+, and one Ni2+ atom. In the fourteenth O2- site, O2- is bonded in a 5-coordinate geometry to one La3+, one Ta5+, and one Ni2+ atom. In the fifteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Sr2+, one Ta5+, and one Ni2+ atom. In the sixteenth O2- site, O2- is bonded in a 4-coordinate geometry to two La3+ and two Ni2+ atoms. In the seventeenth O2- site, O2- is bonded in a 4-coordinate geometry to two Sr2+, one La3+, one Ta5+, and one Ni2+ atom. In the eighteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Sr2+ and two Ni2+ atoms. In the nineteenth O2- site, O2- is bonded in a 5-coordinate geometry to three La3+ and two Ni2+ atoms. In the twentieth O2- site, O2- is bonded in a 4-coordinate geometry to two Sr2+, one La3+, one Ta5+, and one Ni2+ atom.

36 MATERIALS SCIENCE↗

Materials Data on NaMg14BO15 by Materials Project

NaMg14BO15 crystallizes in the orthorhombic Pmm2 space group. The structure is three-dimensional. Na is bonded to five O atoms to form NaO5 square pyramids that share corners with two equivalent MgO6 octahedra, corners with two equivalent NaO5 square pyramids, corners with two equivalent MgO5 square pyramids, and edges with eight MgO6 octahedra. The corner-sharing octahedral tilt angles are 3°. There are a spread of Na–O bond distances ranging from 2.17–2.41 Å. There are ten inequivalent Mg sites. In the first Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with two equivalent MgO6 octahedra, corners with two equivalent NaO5 square pyramids, edges with ten MgO6 octahedra, and edges with two equivalent MgO5 square pyramids. The corner-sharing octahedral tilt angles are 4°. There are a spread of Mg–O bond distances ranging from 1.97–2.27 Å. In the second Mg site, Mg is bonded in a T-shaped geometry to three O atoms. There are one shorter (2.00 Å) and two longer (2.17 Å) Mg–O bond lengths. In the third Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, edges with seven MgO6 octahedra, edges with two equivalent NaO5 square pyramids, and edges with two equivalent MgO5 square pyramids. The corner-sharing octahedra tilt angles range from 2–7°. There are a spread of Mg–O bond distances ranging from 2.10–2.18 Å. In the fourth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, edges with five MgO6 octahedra, and edges with two equivalent MgO5 square pyramids. The corner-sharing octahedra tilt angles range from 1–29°. There are a spread of Mg–O bond distances ranging from 1.98–2.27 Å. In the fifth Mg site, Mg is bonded in a square co-planar geometry to four O atoms. 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 MgO6 octahedra that share corners with four MgO6 octahedra, edges with six MgO6 octahedra, and edges with four equivalent MgO5 square pyramids. The corner-sharing octahedra tilt angles range from 0–11°. There are a spread of Mg–O bond distances ranging from 2.10–2.26 Å. In the seventh Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with four MgO6 octahedra, edges with eight MgO6 octahedra, and edges with two equivalent NaO5 square pyramids. The corner-sharing octahedra tilt angles range from 2–13°. There are a spread of Mg–O bond distances ranging from 2.11–2.18 Å. In the eighth 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 0–8°. There are a spread of Mg–O bond distances ranging from 2.04–2.18 Å. In the ninth Mg site, Mg is bonded to five O atoms to form MgO5 square pyramids that share corners with two equivalent MgO6 octahedra, a cornercorner with one NaO5 square pyramid, corners with three equivalent MgO5 square pyramids, and edges with seven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 3–33°. There are a spread of Mg–O bond distances ranging from 1.96–2.31 Å. In the tenth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with four equivalent MgO6 octahedra, corners with two equivalent MgO5 square pyramids, edges with nine MgO6 octahedra, and an edgeedge with one NaO5 square pyramid. The corner-sharing octahedra tilt angles range from 5–16°. There are a spread of Mg–O bond distances ranging from 2.04–2.25 Å. B is bonded in a 3-coordinate geometry to five O atoms. There are a spread of B–O bond distances ranging from 1.48–2.21 Å. There are eleven inequivalent O sites. In the first O site, O is bonded to five Mg atoms to form OMg5 square pyramids that share a cornercorner with one OMg5B octahedra, corners with two equivalent OMg5 square pyramids, and edges with eight OMg6 octahedra. The corner-sharing octahedral tilt angles are 0°. In the second O site, O is bonded to one Na and five Mg atoms to form ONaMg5 octahedra that share corners with four ONaMg5 octahedra and edges with ten OMg6 octahedra. The corner-sharing octahedral tilt angles are 13°. In the third O site, O is bonded to five Mg and one B atom to form distorted OMg5B octahedra that share corners with four ONaMg5 octahedra, a cornercorner with one OMg5 square pyramid, and edges with eight OMg6 octahedra. The corner-sharing octahedra tilt angles range from 8–13°. In the fourth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OMg6 octahedra, edges with five ONa2Mg4 octahedra, and edges with two equivalent OMg5 square pyramids. The corner-sharing octahedra tilt angles range from 0–9°. In the fifth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OMg6 octahedra and edges with nine ONaMg5 octahedra. The corner-sharing octahedra tilt angles range from 2–7°. In the sixth O site, O is bonded to two equivalent Na and four Mg atoms to form a mixture of edge and corner-sharing ONa2Mg4 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. In the seventh O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with four OMg6 octahedra, edges with ten OMg5B octahedra, and edges with two equivalent OMg5 square pyramids. The corner-sharing octahedra tilt angles range from 1–4°. In the eighth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with four OMg6 octahedra and edges with six ONaMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–5°. In the ninth O site, O is bonded in a distorted square co-planar geometry to four Mg and two equivalent B atoms. In the tenth O site, O is bonded to one Na and five Mg atoms to form ONaMg5 octahedra that share corners with four equivalent ONaMg5 octahedra, edges with ten ONaMg5 octahedra, and an edgeedge with one OMg5 square pyramid. The corner-sharing octahedra tilt angles range from 2–7°. In the eleventh O site, O is bonded in a 1-coordinate geometry to four Mg and one B atom.

36 MATERIALS SCIENCE↗

Materials Data on Li7Mn4(P2O7)4 by Materials Project

Li7Mn4(P2O7)4 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are seven inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.99–2.36 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four PO4 tetrahedra, a cornercorner with one MnO5 trigonal bipyramid, and an edgeedge with one MnO6 octahedra. There are a spread of Li–O bond distances ranging from 1.96–2.03 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four PO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, a cornercorner with one MnO5 trigonal bipyramid, and an edgeedge with one LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.92–1.99 Å. In the fourth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share corners with two LiO4 tetrahedra, corners with five PO4 tetrahedra, an edgeedge with one MnO6 octahedra, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.96–2.43 Å. In the fifth Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.96–2.45 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four PO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, and an edgeedge with one LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.90–2.01 Å. In the seventh Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share corners with five PO4 tetrahedra, an edgeedge with one MnO6 octahedra, and an edgeedge with one LiO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.87–2.63 Å. There are four inequivalent Mn+2.25+ sites. In the first Mn+2.25+ site, Mn+2.25+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra, an edgeedge with one MnO5 trigonal bipyramid, and edges with two LiO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.13–2.27 Å. In the second Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form distorted MnO5 trigonal bipyramids that share corners with two LiO4 tetrahedra, corners with five PO4 tetrahedra, an edgeedge with one MnO6 octahedra, and an edgeedge with one LiO5 trigonal bipyramid. There are a spread of Mn–O bond distances ranging from 2.15–2.25 Å. In the third Mn+2.25+ site, Mn+2.25+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Mn–O bond distances ranging from 2.10–2.32 Å. In the fourth Mn+2.25+ site, Mn+2.25+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one LiO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 1.96–2.31 Å. There are eight inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one LiO4 tetrahedra, a cornercorner with one PO4 tetrahedra, and a cornercorner with one MnO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 50°. There are a spread of P–O bond distances ranging from 1.51–1.61 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one PO4 tetrahedra, corners with two LiO4 tetrahedra, and a cornercorner with one LiO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 42°. There are a spread of P–O bond distances ranging from 1.51–1.64 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one PO4 tetrahedra, corners with two equivalent LiO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, and a cornercorner with one MnO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 57°. There are a spread of P–O bond distances ranging from 1.52–1.62 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three MnO6 octahedra, a cornercorner with one LiO4 tetrahedra, a cornercorner with one PO4 tetrahedra, and a cornercorner with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 30–56°. There are a spread of P–O bond distances ranging from 1.52–1.62 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three MnO6 octahedra, a cornercorner with one LiO4 tetrahedra, a cornercorner with one PO4 tetrahedra, and a cornercorner with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 35–49°. There are a spread of P–O bond distances ranging from 1.53–1.62 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one PO4 tetrahedra, corners with three LiO4 tetrahedra, and a cornercorner with one MnO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 54°. There are a spread of P–O bond distances ranging from 1.51–1.62 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one PO4 tetrahedra, a cornercorner with one MnO5 trigonal bipyramid, and corners with four LiO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 56°. There are a spread of P–O bond distances ranging from 1.50–1.62 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one PO4 tetrahedra, corners with two LiO4 tetrahedra, a cornercorner with one MnO5 trigonal bipyramid, and corners with two equivalent LiO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 42°. There are a spread of P–O bond distances ranging from 1.51–1.61 Å. There are twenty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a trigonal planar geometry to two Li1+ and one P5+ atom. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.25+, and one P5+ atom. In the third O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.25+ and one P5+ atom. In the fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.25+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a bent 120 degrees geometry to two P5+ atoms. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn+2.25+, and one P5+ atom. In the seventh O2- site, O2- is bonded in a distorted tetrahedral geometry to two Li1+, one Mn+2.25+, 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 bent 120 degrees geometry to two P5+ atoms. In the tenth O2- site, O2- is bonded in a 3-coordinate geometry to two equivalent Li1+ and one P5+ atom. In the eleventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+2.25+, and one P5+ atom. In the twelfth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn+2.25+, and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Mn+2.25+, and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn+2.25+, and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Mn+2.25+, and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a trigonal non-coplanar geometry to one Li1+, one Mn+2.25+, and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Mn+2.25+, and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+2.25+, and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a bent 120 degrees geometry to two P5+ atoms. In the twentieth O2- site, O2- is bonded in a distorted trigonal planar geometry to two equivalent Li1+ and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a trigonal planar geometry to two Li1+ and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a distorted tetrahedral geometry to two Li1+, one Mn+2.25+, and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn+2.25+, and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a bent 120 degrees geometry to two P5+ atoms. In the twenty-fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.25+ and one P5+ atom. In the twenty-sixth O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one Mn+2.25+, and one P5+ atom. In the twenty-seventh O2- site, O2- is bonded in a 3-coordinate geometry to two equivalent Li1+ and one P5+ atom. In the twenty-eighth O2- site, O2- is bonded in a bent 120 degrees geometry to one Mn+2.25+ and one P5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on LiFe4(BO3)4 by Materials Project

LiFe4(BO3)4 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are two inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four FeO5 trigonal bipyramids and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.98–2.14 Å. In the second Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.97–2.74 Å. There are eight inequivalent Fe+2.75+ sites. In the first Fe+2.75+ site, Fe+2.75+ is bonded to five O2- atoms to form edge-sharing FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.90–2.14 Å. In the second Fe+2.75+ site, Fe+2.75+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.88–2.09 Å. In the third Fe+2.75+ site, Fe+2.75+ is bonded to five O2- atoms to form edge-sharing FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.85–2.08 Å. In the fourth Fe+2.75+ site, Fe+2.75+ is bonded to five O2- atoms to form distorted FeO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.95–2.27 Å. In the fifth Fe+2.75+ site, Fe+2.75+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share an edgeedge with one LiO4 tetrahedra and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.98–2.25 Å. In the sixth Fe+2.75+ site, Fe+2.75+ is bonded to five O2- atoms to form edge-sharing FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.85–2.07 Å. In the seventh Fe+2.75+ site, Fe+2.75+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share corners with two equivalent LiO4 tetrahedra and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.91–2.10 Å. In the eighth Fe+2.75+ site, Fe+2.75+ is bonded to five O2- atoms to form edge-sharing FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.91–2.09 Å. There are eight inequivalent B3+ sites. In the first B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.35–1.42 Å. In the second B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.35–1.41 Å. In the third B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.37–1.40 Å. In the fourth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.36–1.40 Å. In the fifth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.37–1.40 Å. In the sixth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.35 Å) and two longer (1.40 Å) B–O bond length. In the seventh B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.33–1.42 Å. In the eighth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.35–1.40 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.75+, and one B3+ atom. In the second O2- site, O2- is bonded in a bent 150 degrees geometry to one Fe+2.75+ and one B3+ atom. In the third O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.75+ and one B3+ atom. In the fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Fe+2.75+ and one B3+ atom. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Fe+2.75+, and one B3+ atom. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.75+ and one B3+ atom. In the seventh O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Fe+2.75+, and one B3+ atom. In the eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Fe+2.75+ and one B3+ atom. In the ninth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.75+, and one B3+ atom. In the tenth O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.75+ and one B3+ atom. In the eleventh O2- site, O2- is bonded in a 2-coordinate geometry to one Fe+2.75+ and one B3+ atom. In the twelfth O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.75+ and one B3+ atom. In the thirteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.75+ and one B3+ atom. In the fourteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Fe+2.75+, and one B3+ atom. In the fifteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.75+ and one B3+ atom. In the sixteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.75+, and one B3+ atom. In the seventeenth O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, one Fe+2.75+, and one B3+ atom. In the eighteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Fe+2.75+ and one B3+ atom. In the nineteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Fe+2.75+ and one B3+ atom. In the twentieth O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one Fe+2.75+, and one B3+ atom. In the twenty-first O2- site, O2- is bonded in a distorted trigonal planar geometry to two Fe+2.75+ and one B3+ atom. In the twenty-second O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.75+ and one B3+ atom. In the twenty-third O2- site, O2- is bonded in a bent 150 degrees geometry to one Fe+2.75+ and one B3+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Fe+2.75+, and one B3+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li9Mn2Co5O16 by Materials Project

Li9Mn2Co5O16 is Caswellsilverite-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are nine inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with four CoO6 octahedra, edges with two CoO6 octahedra, edges with three MnO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–15°. There are a spread of Li–O bond distances ranging from 2.07–2.30 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with two equivalent MnO6 octahedra, corners with two CoO6 octahedra, edges with two MnO6 octahedra, edges with three CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–11°. There are a spread of Li–O bond distances ranging from 2.00–2.45 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with two equivalent MnO6 octahedra, corners with three CoO6 octahedra, edges with three MnO6 octahedra, edges with three CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–12°. There are a spread of Li–O bond distances ranging from 2.06–2.39 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one MnO6 octahedra, corners with five CoO6 octahedra, an edgeedge with one MnO6 octahedra, edges with three CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–9°. There are a spread of Li–O bond distances ranging from 2.11–2.21 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one MnO6 octahedra, corners with two equivalent LiO6 octahedra, corners with three CoO6 octahedra, edges with five CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–10°. There are a spread of Li–O bond distances ranging from 2.01–2.23 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one MnO6 octahedra, corners with five CoO6 octahedra, edges with five CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–10°. There are a spread of Li–O bond distances ranging from 2.10–2.24 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one MnO6 octahedra, corners with four CoO6 octahedra, an edgeedge with one MnO6 octahedra, edges with five CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–11°. There are a spread of Li–O bond distances ranging from 2.03–2.26 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with four CoO6 octahedra, edges with two MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–8°. There are a spread of Li–O bond distances ranging from 2.10–2.21 Å. In the ninth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, an edgeedge with one MnO6 octahedra, edges with five CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–12°. There are a spread of Li–O bond distances ranging from 2.04–2.19 Å. There are two inequivalent Mn+4.50+ sites. In the first Mn+4.50+ site, Mn+4.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–11°. There are a spread of Mn–O bond distances ranging from 1.93–2.23 Å. In the second Mn+4.50+ site, Mn+4.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with three CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–10°. There are a spread of Mn–O bond distances ranging from 1.90–2.02 Å. There are five inequivalent Co+2.80+ sites. In the first Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, an edgeedge with one CoO6 octahedra, edges with three MnO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–15°. There are a spread of Co–O bond distances ranging from 1.89–2.30 Å. In the second Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with four CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–10°. There are a spread of Co–O bond distances ranging from 1.83–2.31 Å. In the third Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with five CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–11°. There are a spread of Co–O bond distances ranging from 1.92–2.11 Å. In the fourth Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, an edgeedge with one MnO6 octahedra, edges with five CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–8°. There are a spread of Co–O bond distances ranging from 1.90–2.22 Å. In the fifth Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with three MnO6 octahedra, edges with three CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–10°. There are a spread of Co–O bond distances ranging from 1.93–2.13 Å. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded to three Li1+, two Mn+4.50+, and one Co+2.80+ atom to form OLi3Mn2Co octahedra that share corners with six OLi3Mn2Co octahedra and edges with twelve OLi4MnCo octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the second O2- site, O2- is bonded to four Li1+, one Mn+4.50+, and one Co+2.80+ atom to form OLi4MnCo octahedra that share corners with six OLi4MnCo octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 3–13°. In the third O2- site, O2- is bonded to three Li1+, two Mn+4.50+, and one Co+2.80+ atom to form OLi3Mn2Co octahedra that share corners with six OLi4MnCo octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 3–6°. In the fourth O2- site, O2- is bonded to four Li1+ and two Co+2.80+ atoms to form a mixture of corner and edge-sharing OLi4Co2 octahedra. The corner-sharing octahedra tilt angles range from 0–5°. In the fifth O2- site, O2- is bonded to four Li1+ and two Co+2.80+ atoms to form a mixture of corner and edge-sharing OLi4Co2 octahedra. The corner-sharing octahedra tilt angles range from 2–9°. In the sixth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form OLi3Co3 octahedra that share corners with six OLi3Mn2Co octahedra and edges with twelve OLi4Co2 octahedra. The corner-sharing octahedra tilt angles range from 0–5°. In the seventh O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form OLi3Co3 octahedra that share corners with six OLi4MnCo octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 1–5°. In the eighth O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two Co+2.80+ atoms to form a mixture of corner and edge-sharing OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 0–5°. In the ninth O2- site, O2- is bonded to three Li1+, two Mn+4.50+, and one Co+2.80+ atom to form a mixture of corner and edge-sharing OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the tenth O2- site, O2- is bonded to four Li1+, one Mn+4.50+, and one Co+2.80+ atom to form distorted OLi4MnCo octahedra that share corners with six OLi4MnCo octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 1–13°. In the eleventh O2- site, O2- is bonded to three Li1+, two Mn+4.50+, and one Co+2.80+ atom to form OLi3Mn2Co octahedra that share corners with six OLi4MnCo octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 2–5°. In the twelfth O2- site, O2- is bonded to four Li1+ and two Co+2.80+ atoms to form a mixture of corner and edge-sharing OLi4Co2 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the thirteenth O2- site, O2- is bonded to four Li1+ and two Co+2.80+ atoms to form OLi4Co2 octahedra that share corners with six OLi4MnCo octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 3–9°. In the fourteenth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form OLi3Co3 octahedra that share corners with six OLi3Mn2Co octahedra and edges with twelve OLi4MnCo octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the fifteenth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form OLi3Co3 octahedra that share corners with six OLi4MnCo octahedra and edges with twelve OLi4Co2 octahedra. The corner-sharing octahedra tilt angles range from 2–5°. In the sixteenth O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two Co+2.80+ atoms to form a mixture of corner and edge-sharing OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 0–5°.

36 MATERIALS SCIENCE↗

Materials Data on CaMg30VO32 by Materials Project

CaMg30VO32 is alpha Po-derived structured and crystallizes in the tetragonal P4/mmm space group. The structure is three-dimensional. Ca2+ is bonded to six O2- atoms to form CaO6 octahedra that share corners with six MgO6 octahedra and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. All Ca–O bond lengths are 2.25 Å. There are eight inequivalent Mg2+ sites. In the first Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with two equivalent CaO6 octahedra, corners with two equivalent MgO6 octahedra, corners with two equivalent VO6 octahedra, and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are a spread of Mg–O bond distances ranging from 2.04–2.16 Å. In the second Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with two equivalent CaO6 octahedra, corners with four equivalent MgO6 octahedra, and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are two shorter (2.04 Å) and four longer (2.16 Å) Mg–O bond lengths. In the third Mg2+ site, Mg2+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are a spread of Mg–O bond distances ranging from 2.12–2.15 Å. In the fourth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with two equivalent VO6 octahedra, corners with four equivalent MgO6 octahedra, and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are two shorter (2.10 Å) and four longer (2.14 Å) Mg–O bond lengths. In the fifth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, an edgeedge with one CaO6 octahedra, an edgeedge with one VO6 octahedra, and edges with ten MgO6 octahedra. The corner-sharing octahedra tilt angles range from 1–4°. There are a spread of Mg–O bond distances ranging from 2.12–2.17 Å. In the sixth Mg2+ site, Mg2+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are two shorter (2.14 Å) and four longer (2.15 Å) Mg–O bond lengths. In the seventh Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, an edgeedge with one CaO6 octahedra, and edges with eleven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. There are a spread of Mg–O bond distances ranging from 2.12–2.17 Å. In the eighth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, an edgeedge with one VO6 octahedra, and edges with eleven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are five shorter (2.14 Å) and one longer (2.15 Å) Mg–O bond lengths. V2+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six MgO6 octahedra and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are four shorter (2.17 Å) and two longer (2.18 Å) V–O bond lengths. There are twelve inequivalent O2- sites. In the first O2- site, O2- is bonded to one Ca2+ and five Mg2+ atoms to form OCaMg5 octahedra that share corners with six OCaMg5 octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. In the second O2- site, O2- is bonded to six Mg2+ atoms to form OMg6 octahedra that share corners with six OCaMg5 octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. In the third O2- site, O2- is bonded to five Mg2+ and one V2+ atom to form a mixture of corner and edge-sharing OMg5V octahedra. The corner-sharing octahedra tilt angles range from 0–1°. In the fourth O2- site, O2- is bonded to six Mg2+ atoms to form OMg6 octahedra that share corners with six equivalent OMg6 octahedra and edges with twelve OCaMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. In the fifth O2- site, O2- is bonded to one Ca2+ and five Mg2+ atoms to form a mixture of corner and edge-sharing OCaMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. In the sixth O2- site, O2- is bonded to one Ca2+ and five Mg2+ atoms to form a mixture of corner and edge-sharing OCaMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. All O–Mg bond lengths are 2.17 Å. In the seventh O2- site, O2- is bonded to five Mg2+ and one V2+ atom to form OMg5V octahedra that share corners with six OCaMg5 octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. The O–Mg bond length is 2.12 Å. In the eighth O2- site, O2- is bonded to five Mg2+ and one V2+ atom to form OMg5V octahedra that share corners with six OCaMg5 octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are three shorter (2.12 Å) and two longer (2.15 Å) O–Mg bond lengths. In the ninth O2- site, O2- is bonded to six Mg2+ atoms to form a mixture of corner and edge-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. In the tenth O2- site, O2- is bonded to six Mg2+ atoms to form OMg6 octahedra that share corners with six OMg5V octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. In the eleventh O2- site, O2- is bonded to five Mg2+ and one V2+ atom to form OMg5V octahedra that share corners with six OCaMg5 octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. Both O–Mg bond lengths are 2.15 Å. In the twelfth O2- site, O2- is bonded to five Mg2+ and one V2+ atom to form OMg5V octahedra that share corners with six OCaMg5 octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are two shorter (2.12 Å) and two longer (2.15 Å) O–Mg bond lengths.

36 MATERIALS SCIENCE↗

Materials Data on KRbMg6O7 by Materials Project

RbKMg6O7 crystallizes in the tetragonal P4mm space group. The structure is three-dimensional. Rb1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are four shorter (2.60 Å) and one longer (3.28 Å) Rb–O bond lengths. K1+ is bonded in a 4-coordinate geometry to four equivalent O2- atoms. All K–O bond lengths are 2.45 Å. There are four inequivalent Mg2+ sites. In the first Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with four equivalent MgO6 octahedra and edges with eight MgO5 square pyramids. The corner-sharing octahedral tilt angles are 7°. There are a spread of Mg–O bond distances ranging from 2.00–2.39 Å. In the second Mg2+ site, Mg2+ is bonded to five O2- atoms to form MgO5 square pyramids that share corners with four equivalent MgO5 square pyramids, edges with four equivalent MgO6 octahedra, and edges with four equivalent MgO5 square pyramids. There are one shorter (2.11 Å) and four longer (2.15 Å) Mg–O bond lengths. In the third Mg2+ site, Mg2+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Mg–O bond distances ranging from 1.87–2.59 Å. In the fourth Mg2+ site, Mg2+ is bonded to five O2- atoms to form MgO5 square pyramids that share corners with four equivalent MgO5 square pyramids, edges with two equivalent MgO6 octahedra, and edges with six MgO5 square pyramids. There are one shorter (2.07 Å) and four longer (2.15 Å) Mg–O bond lengths. There are five inequivalent O2- sites. In the first O2- site, O2- is bonded to five Mg2+ atoms to form distorted OMg5 square pyramids that share corners with five OMg5 square pyramids and edges with four equivalent OMg6 octahedra. In the second O2- site, O2- is bonded to five Mg2+ atoms to form distorted OMg5 square pyramids that share corners with five OMg5 square pyramids, edges with four equivalent OMg6 octahedra, and edges with four equivalent ORbMg5 square pyramids. In the third O2- site, O2- is bonded to one Rb1+ and five Mg2+ atoms to form distorted ORbMg5 square pyramids that share corners with four equivalent ORbMg5 square pyramids, edges with four equivalent OMg6 octahedra, and edges with four equivalent OMg5 square pyramids. In the fourth O2- site, O2- is bonded in a 1-coordinate geometry to two equivalent Rb1+, two equivalent K1+, and one Mg2+ atom. In the fifth O2- site, O2- is bonded to six Mg2+ atoms to form OMg6 octahedra that share corners with four equivalent OMg6 octahedra, edges with four equivalent OMg6 octahedra, and edges with six OMg5 square pyramids. The corner-sharing octahedra tilt angles range from 4–7°.

36 MATERIALS SCIENCE↗

Materials Data on KRbMg30O31 by Materials Project

RbKMg30O31 crystallizes in the tetragonal P4mm space group. The structure is three-dimensional. Rb1+ is bonded to six O2- atoms to form RbO6 octahedra that share corners with six MgO6 octahedra and edges with twelve MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–5°. There are one shorter (2.38 Å) and five longer (2.42 Å) Rb–O bond lengths. K1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are four shorter (2.38 Å) and one longer (2.67 Å) K–O bond lengths. There are ten inequivalent Mg2+ sites. In the first Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with two equivalent RbO6 octahedra, corners with two equivalent MgO6 octahedra, edges with ten MgO6 octahedra, and edges with two equivalent MgO5 square pyramids. The corner-sharing octahedra tilt angles range from 0–5°. There are a spread of Mg–O bond distances ranging from 1.95–2.34 Å. In the second Mg2+ site, Mg2+ is bonded to five O2- atoms to form MgO5 square pyramids that share corners with four equivalent MgO6 octahedra, corners with four equivalent MgO5 square pyramids, and edges with eight MgO6 octahedra. The corner-sharing octahedral tilt angles are 10°. There are one shorter (1.96 Å) and four longer (2.12 Å) Mg–O bond lengths. In the third Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with four MgO6 octahedra, corners with two equivalent MgO5 square pyramids, 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 2.03–2.27 Å. In the fourth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with two equivalent RbO6 octahedra, corners with four equivalent MgO6 octahedra, and edges with twelve MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Mg–O bond distances ranging from 1.88–2.25 Å. In the fifth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, an edgeedge with one RbO6 octahedra, edges with eight MgO6 octahedra, and edges with two equivalent MgO5 square pyramids. The corner-sharing octahedra tilt angles range from 0–12°. There are a spread of Mg–O bond distances ranging from 2.15–2.21 Å. In the sixth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, edges with nine MgO6 octahedra, and edges with three MgO5 square pyramids. The corner-sharing octahedra tilt angles range from 0–5°. There are a spread of Mg–O bond distances ranging from 2.14–2.20 Å. In the seventh Mg2+ site, Mg2+ is bonded to five O2- atoms to form distorted 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 2–11°. There are a spread of Mg–O bond distances ranging from 1.93–2.14 Å. In the eighth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with four MgO6 octahedra, corners with two equivalent MgO5 square pyramids, an edgeedge with one RbO6 octahedra, edges with nine MgO6 octahedra, and edges with two equivalent MgO5 square pyramids. The corner-sharing octahedra tilt angles range from 3–12°. There are a spread of Mg–O bond distances ranging from 2.12–2.25 Å. In the ninth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with four MgO6 octahedra, corners with two equivalent MgO5 square pyramids, 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 2.11–2.29 Å. In the tenth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, an edgeedge with one RbO6 octahedra, and edges with eleven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 2–12°. There are a spread of Mg–O bond distances ranging from 2.14–2.22 Å. There are eleven inequivalent O2- sites. In the first O2- site, O2- is bonded to six Mg2+ atoms to form OMg6 octahedra that share corners with four ORbMg5 octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–9°. In the second O2- site, O2- is bonded to one Rb1+ and five Mg2+ atoms to form ORbMg5 octahedra that share corners with six OMg6 octahedra and edges with twelve ORbMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–9°. In the third O2- site, O2- is bonded to one K1+ and five Mg2+ atoms to form a mixture of distorted edge and corner-sharing OKMg5 octahedra. The corner-sharing octahedral tilt angles are 6°. In the fourth O2- site, O2- is bonded to six Mg2+ atoms to form a mixture of edge and corner-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the fifth O2- site, O2- is bonded to one Rb1+ and five Mg2+ atoms to form a mixture of edge and corner-sharing ORbMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the sixth O2- site, O2- is bonded to six Mg2+ atoms to form a mixture of edge and corner-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 1–17°. In the seventh O2- site, O2- is bonded to six Mg2+ atoms to form OMg6 octahedra that share corners with six OMg6 octahedra and edges with twelve OKMg5 octahedra. The corner-sharing octahedra tilt angles range from 1–4°. In the eighth O2- site, O2- is bonded to one K1+ and five Mg2+ atoms to form OKMg5 octahedra that share corners with six ORbMg5 octahedra and edges with eleven OMg6 octahedra. The corner-sharing octahedra tilt angles range from 3–24°. In the ninth O2- site, O2- is bonded to one Rb1+ and five Mg2+ atoms to form ORbMg5 octahedra that share corners with six ORbMg5 octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 3–8°. In the tenth O2- site, O2- is bonded to six Mg2+ atoms to form a mixture of edge and corner-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 3–14°. In the eleventh O2- site, O2- is bonded to six Mg2+ atoms to form OMg6 octahedra that share corners with six ORbMg5 octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 1–8°.

36 MATERIALS SCIENCE↗

Materials Data on NdGa2Co3 by Materials Project

NdCo3Ga2 crystallizes in the orthorhombic Amm2 space group. The structure is three-dimensional. there are three inequivalent Nd sites. In the first Nd site, Nd is bonded in a 6-coordinate geometry to twelve Co and six Ga atoms. There are a spread of Nd–Co bond distances ranging from 2.94–3.27 Å. All Nd–Ga bond lengths are 3.17 Å. In the second Nd site, Nd is bonded in a 6-coordinate geometry to six Co and twelve Ga atoms. All Nd–Co bond lengths are 3.09 Å. There are four shorter (3.35 Å) and eight longer (3.36 Å) Nd–Ga bond lengths. In the third Nd site, Nd is bonded in a 6-coordinate geometry to twelve Co and six Ga atoms. There are a spread of Nd–Co bond distances ranging from 2.93–3.27 Å. There are two shorter (3.17 Å) and four longer (3.18 Å) Nd–Ga bond lengths. There are five inequivalent Co sites. In the first Co site, Co is bonded in a 12-coordinate geometry to three Nd, two equivalent Co, and four Ga atoms. Both Co–Co bond lengths are 2.43 Å. All Co–Ga bond lengths are 2.52 Å. In the second Co site, Co is bonded in a 12-coordinate geometry to three Nd, two equivalent Co, and four Ga atoms. Both Co–Co bond lengths are 2.43 Å. All Co–Ga bond lengths are 2.52 Å. In the third Co site, Co is bonded in a 12-coordinate geometry to three Nd, two equivalent Co, and four Ga atoms. Both Co–Co bond lengths are 2.43 Å. All Co–Ga bond lengths are 2.52 Å. In the fourth Co site, Co is bonded to four Nd, four Co, and four Ga atoms to form CoNd4Ga4Co4 cuboctahedra that share corners with eight CoNd4Ga4Co4 cuboctahedra, corners with eight GaNd4Ga2Co6 cuboctahedra, edges with ten GaNd4Ga2Co6 cuboctahedra, faces with four GaNd4Ga2Co6 cuboctahedra, and faces with six CoNd4Ga4Co4 cuboctahedra. All Co–Ga bond lengths are 2.53 Å. In the fifth Co site, Co is bonded to four Nd, four equivalent Co, and four Ga atoms to form distorted CoNd4Ga4Co4 cuboctahedra that share corners with eight equivalent CoNd4Ga4Co4 cuboctahedra, corners with eight GaNd4Ga2Co6 cuboctahedra, edges with ten GaNd4Ga2Co6 cuboctahedra, faces with four GaNd4Ga2Co6 cuboctahedra, and faces with six CoNd4Ga4Co4 cuboctahedra. All Co–Ga bond lengths are 2.53 Å. There are four inequivalent Ga sites. In the first Ga site, Ga is bonded to four Nd, six Co, and two Ga atoms to form distorted GaNd4Ga2Co6 cuboctahedra that share corners with four equivalent CoNd4Ga4Co4 cuboctahedra, corners with twelve GaNd4Ga2Co6 cuboctahedra, edges with five CoNd4Ga4Co4 cuboctahedra, edges with five GaNd4Ga2Co6 cuboctahedra, faces with two CoNd4Ga4Co4 cuboctahedra, and faces with eight GaNd4Ga2Co6 cuboctahedra. Both Ga–Ga bond lengths are 2.70 Å. In the second Ga site, Ga is bonded to four Nd, six Co, and two equivalent Ga atoms to form distorted GaNd4Ga2Co6 cuboctahedra that share corners with four equivalent CoNd4Ga4Co4 cuboctahedra, corners with twelve GaNd4Ga2Co6 cuboctahedra, edges with five CoNd4Ga4Co4 cuboctahedra, edges with five GaNd4Ga2Co6 cuboctahedra, faces with two equivalent CoNd4Ga4Co4 cuboctahedra, and faces with eight GaNd4Ga2Co6 cuboctahedra. Both Ga–Ga bond lengths are 2.70 Å. In the third Ga site, Ga is bonded to four Nd, six Co, and two Ga atoms to form distorted GaNd4Ga2Co6 cuboctahedra that share corners with four equivalent CoNd4Ga4Co4 cuboctahedra, corners with twelve GaNd4Ga2Co6 cuboctahedra, edges with five CoNd4Ga4Co4 cuboctahedra, edges with five GaNd4Ga2Co6 cuboctahedra, faces with two CoNd4Ga4Co4 cuboctahedra, and faces with eight GaNd4Ga2Co6 cuboctahedra. In the fourth Ga site, Ga is bonded to four Nd, six Co, and two equivalent Ga atoms to form distorted GaNd4Ga2Co6 cuboctahedra that share corners with four equivalent CoNd4Ga4Co4 cuboctahedra, corners with twelve GaNd4Ga2Co6 cuboctahedra, edges with five CoNd4Ga4Co4 cuboctahedra, edges with five GaNd4Ga2Co6 cuboctahedra, faces with two equivalent CoNd4Ga4Co4 cuboctahedra, and faces with eight GaNd4Ga2Co6 cuboctahedra.

36 MATERIALS SCIENCE↗

Materials Data on Ca15Ni(IrO6)4 by Materials Project

Ca15Ni(IrO6)4 crystallizes in the monoclinic P2 space group. The structure is three-dimensional. there are eleven inequivalent Ca2+ sites. In the first Ca2+ site, Ca2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Ca–O bond distances ranging from 2.38–2.76 Å. In the second Ca2+ site, Ca2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Ca–O bond distances ranging from 2.33–2.82 Å. In the third Ca2+ site, Ca2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Ca–O bond distances ranging from 2.37–2.75 Å. In the fourth Ca2+ site, Ca2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Ca–O bond distances ranging from 2.35–2.82 Å. In the fifth Ca2+ site, Ca2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Ca–O bond distances ranging from 2.39–2.74 Å. In the sixth Ca2+ site, Ca2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Ca–O bond distances ranging from 2.37–2.75 Å. In the seventh Ca2+ site, Ca2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Ca–O bond distances ranging from 2.42–2.74 Å. In the eighth Ca2+ site, Ca2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Ca–O bond distances ranging from 2.40–2.77 Å. In the ninth Ca2+ site, Ca2+ is bonded to six O2- atoms to form distorted CaO6 pentagonal pyramids that share faces with two equivalent IrO6 octahedra. There are two shorter (2.34 Å) and four longer (2.35 Å) Ca–O bond lengths. In the tenth Ca2+ site, Ca2+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ca–O bond distances ranging from 2.33–2.35 Å. In the eleventh Ca2+ site, Ca2+ is bonded in a 6-coordinate geometry to six O2- atoms. There are four shorter (2.33 Å) and two longer (2.34 Å) Ca–O bond lengths. There are two inequivalent Ir4+ sites. In the first Ir4+ site, Ir4+ is bonded to six O2- atoms to form IrO6 octahedra that share a faceface with one NiO6 pentagonal pyramid. There are a spread of Ir–O bond distances ranging from 2.02–2.05 Å. In the second Ir4+ site, Ir4+ is bonded to six O2- atoms to form IrO6 octahedra that share a faceface with one CaO6 pentagonal pyramid. There are a spread of Ir–O bond distances ranging from 2.04–2.06 Å. Ni2+ is bonded to six O2- atoms to form distorted NiO6 pentagonal pyramids that share faces with two equivalent IrO6 octahedra. There are four shorter (2.18 Å) and two longer (2.21 Å) Ni–O bond lengths. There are twelve inequivalent O2- sites. In the first O2- site, O2- is bonded in a 6-coordinate geometry to four Ca2+, one Ir4+, and one Ni2+ atom. In the second O2- site, O2- is bonded in a 6-coordinate geometry to five Ca2+ and one Ir4+ atom. In the third O2- site, O2- is bonded in a 6-coordinate geometry to four Ca2+, one Ir4+, and one Ni2+ atom. In the fourth O2- site, O2- is bonded to five Ca2+ and one Ir4+ atom to form a mixture of distorted face and corner-sharing OCa5Ir octahedra. The corner-sharing octahedra tilt angles range from 31–66°. In the fifth O2- site, O2- is bonded in a 6-coordinate geometry to four Ca2+, one Ir4+, and one Ni2+ atom. In the sixth O2- site, O2- is bonded to five Ca2+ and one Ir4+ atom to form a mixture of distorted edge, face, and corner-sharing OCa5Ir octahedra. The corner-sharing octahedra tilt angles range from 1–66°. In the seventh O2- site, O2- is bonded in a 6-coordinate geometry to five Ca2+ and one Ir4+ atom. In the eighth O2- site, O2- is bonded in a 6-coordinate geometry to five Ca2+ and one Ir4+ atom. In the ninth O2- site, O2- is bonded to five Ca2+ and one Ir4+ atom to form a mixture of distorted edge, face, and corner-sharing OCa5Ir octahedra. The corner-sharing octahedra tilt angles range from 1–66°. In the tenth O2- site, O2- is bonded in a 6-coordinate geometry to five Ca2+ and one Ir4+ atom. In the eleventh O2- site, O2- is bonded in a 6-coordinate geometry to five Ca2+ and one Ir4+ atom. In the twelfth O2- site, O2- is bonded to five Ca2+ and one Ir4+ atom to form a mixture of distorted face and corner-sharing OCa5Ir octahedra. The corner-sharing octahedra tilt angles range from 29–66°.

36 MATERIALS SCIENCE↗

Materials Data on Fe14Cu7(PO4)18 by Materials Project

Fe14Cu7(PO4)18 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are seven inequivalent Fe sites. In the first Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share a cornercorner with one FeO6 octahedra, corners with six PO4 tetrahedra, an edgeedge with one FeO6 octahedra, and an edgeedge with one CuO5 square pyramid. The corner-sharing octahedral tilt angles are 65°. There are a spread of Fe–O bond distances ranging from 1.89–2.17 Å. In the second Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share a cornercorner with one FeO6 octahedra, corners with six PO4 tetrahedra, an edgeedge with one FeO6 octahedra, and an edgeedge with one CuO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 65°. There are a spread of Fe–O bond distances ranging from 1.89–2.16 Å. In the third Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share a cornercorner with one CuO6 octahedra, corners with six PO4 tetrahedra, an edgeedge with one FeO6 octahedra, and an edgeedge with one CuO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 65°. There are a spread of Fe–O bond distances ranging from 1.89–2.16 Å. In the fourth Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with six PO4 tetrahedra, an edgeedge with one FeO6 octahedra, and an edgeedge with one CuO5 square pyramid. There are a spread of Fe–O bond distances ranging from 1.91–2.19 Å. In the fifth Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with six PO4 tetrahedra, an edgeedge with one FeO6 octahedra, and an edgeedge with one CuO5 trigonal bipyramid. There are a spread of Fe–O bond distances ranging from 1.91–2.19 Å. In the sixth Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with six PO4 tetrahedra, an edgeedge with one FeO6 octahedra, and an edgeedge with one CuO5 trigonal bipyramid. There are a spread of Fe–O bond distances ranging from 1.91–2.22 Å. In the seventh Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with two FeO6 octahedra, corners with six PO4 tetrahedra, and corners with two CuO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 65°. There are a spread of Fe–O bond distances ranging from 2.03–2.34 Å. There are four inequivalent Cu sites. In the first Cu site, Cu is bonded to five O atoms to form distorted CuO5 square pyramids that share a cornercorner with one CuO6 octahedra, corners with five PO4 tetrahedra, and edges with two FeO6 octahedra. The corner-sharing octahedral tilt angles are 70°. There are a spread of Cu–O bond distances ranging from 1.92–2.30 Å. In the second Cu site, Cu is bonded to five O atoms to form distorted CuO5 trigonal bipyramids that share a cornercorner with one FeO6 octahedra, corners with five PO4 tetrahedra, and edges with two FeO6 octahedra. The corner-sharing octahedral tilt angles are 69°. There are a spread of Cu–O bond distances ranging from 1.94–2.29 Å. In the third Cu site, Cu is bonded to five O atoms to form distorted CuO5 trigonal bipyramids that share a cornercorner with one FeO6 octahedra, corners with five PO4 tetrahedra, and edges with two FeO6 octahedra. The corner-sharing octahedral tilt angles are 69°. There are a spread of Cu–O bond distances ranging from 1.95–2.28 Å. In the fourth Cu site, Cu is bonded to six O atoms to form CuO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with two equivalent CuO5 square pyramids, and corners with six PO4 tetrahedra. The corner-sharing octahedral tilt angles are 65°. There are a spread of Cu–O bond distances ranging from 1.99–2.38 Å. There are nine inequivalent P sites. In the first P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with six FeO6 octahedra and a cornercorner with one CuO5 square pyramid. The corner-sharing octahedra tilt angles range from 25–55°. There are a spread of P–O bond distances ranging from 1.51–1.58 Å. In the second P site, P is bonded to four O atoms to form PO4 tetrahedra that share a cornercorner with one CuO6 octahedra, corners with five FeO6 octahedra, and a cornercorner with one CuO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 26–55°. There are a spread of P–O bond distances ranging from 1.51–1.58 Å. In the third P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with six FeO6 octahedra and a cornercorner with one CuO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 25–55°. There are a spread of P–O bond distances ranging from 1.51–1.57 Å. In the fourth P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with four FeO6 octahedra and corners with two equivalent CuO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 22–60°. There are a spread of P–O bond distances ranging from 1.53–1.57 Å. In the fifth P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with four FeO6 octahedra, a cornercorner with one CuO5 square pyramid, and a cornercorner with one CuO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 22–60°. There are a spread of P–O bond distances ranging from 1.53–1.57 Å. In the sixth P site, P is bonded to four O atoms to form PO4 tetrahedra that share a cornercorner with one CuO6 octahedra, corners with three FeO6 octahedra, a cornercorner with one CuO5 square pyramid, and a cornercorner with one CuO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 22–62°. There are a spread of P–O bond distances ranging from 1.53–1.56 Å. In the seventh P site, P is bonded to four O atoms to form PO4 tetrahedra that share a cornercorner with one CuO6 octahedra, corners with four FeO6 octahedra, a cornercorner with one CuO5 square pyramid, and a cornercorner with one CuO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 32–61°. There are a spread of P–O bond distances ranging from 1.51–1.58 Å. In the eighth P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with five FeO6 octahedra, a cornercorner with one CuO5 square pyramid, and a cornercorner with one CuO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 32–61°. There are a spread of P–O bond distances ranging from 1.51–1.58 Å. In the ninth P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with five FeO6 octahedra and corners with two CuO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 33–61°. There are a spread of P–O bond distances ranging from 1.51–1.58 Å. There are thirty-six inequivalent O sites. In the first O site, O is bonded in a 3-coordinate geometry to two Fe and one P atom. In the second O site, O is bonded in a 3-coordinate geometry to two equivalent Fe and one P atom. In the third O site, O is bonded in a 3-coordinate geometry to two Fe and one P atom. In the fourth O site, O is bonded in a bent 150 degrees geometry to one Fe and one P atom. In the fifth O site, O is bonded in a bent 150 degrees geometry to one Cu and one P atom. In the sixth O site, O is bonded in a bent 150 degrees geometry to one Fe and one P atom. In the seventh O site, O is bonded in a distorted trigonal planar geometry to one Fe, one Cu, and one P atom. In the eighth O site, O is bonded in a distorted trigonal planar geometry to one Fe, one Cu, and one P atom. In the ninth O site, O is bonded in a distorted trigonal planar geometry to one Fe, one Cu, and one P atom. In the tenth O site, O is bonded in a bent 150 degrees geometry to one Fe and one P atom. In the eleventh O site, O is bonded in a bent 150 degrees geometry to one Fe and one P atom. In the twelfth O site, O is bonded in a bent 150 degrees geometry to one Fe and one P atom. In the thirteenth O site, O is bonded in a bent 150 degrees geometry to one Fe and one P atom. In the fourteenth O site, O is bonded in a bent 150 degrees geometry to one Fe and one P atom. In the fifteenth O site, O is bonded in a bent 150 degrees geometry to one Fe and one P atom. In the sixteenth O site, O is bonded in a distorted trigonal planar geometry to one Fe, one Cu, and one P atom. In the seventeenth O site, O is bonded in a distorted trigonal planar geometry to one Fe, one Cu, and one P atom. In the eighteenth O site, O is bonded in a distorted trigonal planar geometry to two Cu and one P atom. In the nineteenth O site, O is bonded in a 3-coordinate geometry to one Fe, one Cu, and one P atom. In the twentieth O site, O is bonded in a 3-coordinate geometry to one Fe, one Cu, and one P atom. In the twenty-first O site, O is bonded in a 3-coordinate geometry to one Fe, one Cu, and one P atom. In the twenty-second O site, O is bonded in a distorted trigonal planar geometry to one Fe, one Cu, and one P atom. In the twenty-third O site, O is bonded in a distorted trigonal planar geometry to one Fe, one Cu, and one P atom. In the twenty-fourth O site, O is bonded in a distorted trigonal planar geometry to one Fe, one Cu, and one P atom. In the twenty-fifth O site, O is bonded in a bent 150 degrees geometry to one Fe and one P atom. In the twenty-sixth O site, O is bonded in a bent 150 degrees geometry to one Fe and one P atom. In the twenty-seventh O site, O is bonded in a bent 150 degrees geometry to one Fe and one P atom. In the twenty-eighth O site, O is bonded in a distorted trigonal planar geometry to one Fe, one Cu, and one P atom. In the twenty-ninth O site, O is bonded in a distorted trigonal planar geometry to one Fe, one Cu, and one P atom. In the thirtieth O site, O is bonded in a distorted trigonal planar geometry to one Fe, one Cu, and one P atom. In the thirty-first O site, O is bonded in a trigonal planar geometry to one Fe, one Cu, and one P atom. In the thirty-second O site, O is bonded in a trigonal planar geometry to two Fe and one P atom. In the thirty-third O site, O is bonded in a trigonal planar geometry to two Fe and one P atom. In the thirty-fourth O site, O is bonded in a distorted trigonal planar geometry to two equivalent Fe and one P atom. In the thirty-fifth O site, O is bonded in a distorted trigonal planar geometry to two Fe and one P atom. In the thirty-sixth O site, O is bonded in a distorted trigonal planar geometry to two Fe and one P atom.

36 MATERIALS SCIENCE↗

Materials Data on La3Ge6(Pd2Pt)2 by Materials Project

La3Ge6(PtPd2)2 crystallizes in the tetragonal P4mm space group. The structure is three-dimensional. there are six inequivalent La sites. In the first La site, La is bonded in a 12-coordinate geometry to four equivalent Pt, four equivalent Pd, and eight Ge atoms. All La–Pt bond lengths are 3.40 Å. All La–Pd bond lengths are 3.39 Å. There are four shorter (3.29 Å) and four longer (3.45 Å) La–Ge bond lengths. In the second La site, La is bonded in a 12-coordinate geometry to eight Pd and eight Ge atoms. There are four shorter (3.39 Å) and four longer (3.40 Å) La–Pd bond lengths. There are four shorter (3.28 Å) and four longer (3.45 Å) La–Ge bond lengths. In the third La site, La is bonded in a 12-coordinate geometry to eight Pd and eight Ge atoms. There are four shorter (3.39 Å) and four longer (3.40 Å) La–Pd bond lengths. There are four shorter (3.27 Å) and four longer (3.45 Å) La–Ge bond lengths. In the fourth La site, La is bonded in a 12-coordinate geometry to four equivalent Pt, four equivalent Pd, and eight Ge atoms. All La–Pt bond lengths are 3.40 Å. All La–Pd bond lengths are 3.39 Å. There are four shorter (3.29 Å) and four longer (3.44 Å) La–Ge bond lengths. In the fifth La site, La is bonded in a 12-coordinate geometry to four equivalent Pt, four equivalent Pd, and eight Ge atoms. All La–Pt bond lengths are 3.40 Å. All La–Pd bond lengths are 3.38 Å. There are four shorter (3.29 Å) and four longer (3.45 Å) La–Ge bond lengths. In the sixth La site, La is bonded in a 12-coordinate geometry to four equivalent Pt, four equivalent Pd, and eight Ge atoms. All La–Pt bond lengths are 3.39 Å. All La–Pd bond lengths are 3.38 Å. There are four shorter (3.29 Å) and four longer (3.45 Å) La–Ge bond lengths. There are four inequivalent Pt sites. In the first Pt site, Pt is bonded in a 5-coordinate geometry to four equivalent La and five Ge atoms. There are one shorter (2.50 Å) and four longer (2.55 Å) Pt–Ge bond lengths. In the second Pt site, Pt is bonded in a 5-coordinate geometry to four equivalent La and five Ge atoms. There are one shorter (2.49 Å) and four longer (2.56 Å) Pt–Ge bond lengths. In the third Pt site, Pt is bonded in a 5-coordinate geometry to four equivalent La and five Ge atoms. There are one shorter (2.49 Å) and four longer (2.57 Å) Pt–Ge bond lengths. In the fourth Pt site, Pt is bonded in a 5-coordinate geometry to four equivalent La and five Ge atoms. There are one shorter (2.50 Å) and four longer (2.56 Å) Pt–Ge bond lengths. There are five inequivalent Pd sites. In the first Pd site, Pd is bonded in a 5-coordinate geometry to four equivalent La and five Ge atoms. There are one shorter (2.51 Å) and four longer (2.54 Å) Pd–Ge bond lengths. In the second Pd site, Pd is bonded in a 5-coordinate geometry to four equivalent La and five Ge atoms. There are one shorter (2.50 Å) and four longer (2.55 Å) Pd–Ge bond lengths. In the third Pd site, Pd is bonded in a 4-coordinate geometry to four La and four Ge atoms. All Pd–Ge bond lengths are 2.56 Å. In the fourth Pd site, Pd is bonded in a 4-coordinate geometry to four La and four Ge atoms. All Pd–Ge bond lengths are 2.56 Å. In the fifth Pd site, Pd is bonded in a 4-coordinate geometry to four La and four Ge atoms. All Pd–Ge bond lengths are 2.56 Å. There are nine inequivalent Ge sites. In the first Ge site, Ge is bonded in a 8-coordinate geometry to four La and four Pt atoms. In the second Ge site, Ge is bonded in a 8-coordinate geometry to four La, two equivalent Pt, and two equivalent Pd atoms. In the third Ge site, Ge is bonded in a 8-coordinate geometry to four La, two equivalent Pt, and two equivalent Pd atoms. In the fourth Ge site, Ge is bonded in a 5-coordinate geometry to four equivalent La, one Pt, and four equivalent Pd atoms. In the fifth Ge site, Ge is bonded in a 5-coordinate geometry to four equivalent La, one Pt, and four equivalent Pd atoms. In the sixth Ge site, Ge is bonded in a 5-coordinate geometry to four equivalent La, one Pt, and four equivalent Pd atoms. In the seventh Ge site, Ge is bonded in a 5-coordinate geometry to four equivalent La, one Pt, and four equivalent Pd atoms. In the eighth Ge site, Ge is bonded in a 5-coordinate geometry to four equivalent La and five Pd atoms. In the ninth Ge site, Ge is bonded in a 5-coordinate geometry to four equivalent La and five Pd atoms.

36 MATERIALS SCIENCE↗

Materials Data on Li7Fe4(P2O7)4 by Materials Project

Li7Fe4(P2O7)4 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are seven inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.96–2.35 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four PO4 tetrahedra, a cornercorner with one FeO5 trigonal bipyramid, and an edgeedge with one FeO6 octahedra. There are a spread of Li–O bond distances ranging from 1.93–2.10 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four PO4 tetrahedra, a cornercorner with one FeO5 trigonal bipyramid, and an edgeedge with one LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.90–1.98 Å. In the fourth Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.96–2.58 Å. In the fifth Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.95–2.43 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four PO4 tetrahedra, a cornercorner with one FeO5 trigonal bipyramid, and an edgeedge with one LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.89–1.99 Å. In the seventh Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share corners with five PO4 tetrahedra, a cornercorner with one FeO5 trigonal bipyramid, an edgeedge with one FeO6 octahedra, and an edgeedge with one LiO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.85–2.62 Å. There are four inequivalent Fe+2.25+ sites. In the first Fe+2.25+ site, Fe+2.25+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six PO4 tetrahedra, an edgeedge with one LiO5 trigonal bipyramid, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Fe–O bond distances ranging from 2.14–2.22 Å. In the second Fe+2.25+ site, Fe+2.25+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share corners with two LiO4 tetrahedra, corners with five PO4 tetrahedra, and an edgeedge with one FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.08–2.24 Å. In the third Fe+2.25+ site, Fe+2.25+ is bonded to five O2- atoms to form distorted FeO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, corners with five PO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, and an edgeedge with one FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.10–2.31 Å. In the fourth Fe+2.25+ site, Fe+2.25+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six PO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Fe–O bond distances ranging from 1.96–2.14 Å. There are eight inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one FeO6 octahedra, a cornercorner with one LiO4 tetrahedra, a cornercorner with one PO4 tetrahedra, and corners with two FeO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 50°. There are a spread of P–O bond distances ranging from 1.52–1.61 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one FeO6 octahedra, a cornercorner with one PO4 tetrahedra, corners with two LiO4 tetrahedra, and a cornercorner with one FeO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 40°. There are a spread of P–O bond distances ranging from 1.51–1.63 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one FeO6 octahedra, a cornercorner with one PO4 tetrahedra, corners with two equivalent LiO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, and corners with two FeO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 57°. 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 FeO6 octahedra, a cornercorner with one LiO4 tetrahedra, a cornercorner with one PO4 tetrahedra, and a cornercorner with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 26–57°. There are a spread of P–O bond distances ranging from 1.52–1.62 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three FeO6 octahedra, a cornercorner with one LiO4 tetrahedra, a cornercorner with one PO4 tetrahedra, and a cornercorner with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 32–47°. There are a spread of P–O bond distances ranging from 1.52–1.62 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one FeO6 octahedra, a cornercorner with one PO4 tetrahedra, corners with three LiO4 tetrahedra, and corners with two FeO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 54°. There are a spread of P–O bond distances ranging from 1.51–1.62 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one FeO6 octahedra, a cornercorner with one PO4 tetrahedra, corners with two equivalent LiO5 trigonal bipyramids, and corners with two FeO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 55°. There are a spread of P–O bond distances ranging from 1.50–1.64 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one FeO6 octahedra, a cornercorner with one PO4 tetrahedra, corners with two LiO4 tetrahedra, and a cornercorner with one FeO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 38°. There are a spread of P–O bond distances ranging from 1.51–1.60 Å. There are twenty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a trigonal planar geometry to two Li1+ and one P5+ atom. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Fe+2.25+, and one P5+ atom. In the third O2- site, O2- is bonded in a distorted trigonal planar geometry to two Fe+2.25+ and one P5+ atom. In the fourth O2- site, O2- is bonded in a bent 120 degrees geometry to two P5+ atoms. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Fe+2.25+, and one P5+ atom. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Fe+2.25+, and one P5+ atom. In the seventh O2- site, O2- is bonded to two Li1+, one Fe+2.25+, and one P5+ atom to form distorted corner-sharing OLi2FeP tetrahedra. 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 bent 120 degrees geometry to two P5+ atoms. In the tenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two equivalent Li1+ and one P5+ atom. In the eleventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Fe+2.25+, and one P5+ atom. In the twelfth O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one Fe+2.25+, and one P5+ atom. In the thirteenth O2- site, O2- is bonded to two Li1+, one Fe+2.25+, and one P5+ atom to form distorted corner-sharing OLi2FeP tetrahedra. In the fourteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Fe+2.25+, and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Fe+2.25+, and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a trigonal non-coplanar geometry to one Li1+, one Fe+2.25+, and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Fe+2.25+, and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Fe+2.25+, and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a bent 120 degrees geometry to two P5+ atoms. In the twentieth O2- site, O2- is bonded in a distorted trigonal planar geometry to two equivalent Li1+ and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a trigonal planar geometry to two Li1+ and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Fe+2.25+, and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Fe+2.25+, and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a bent 120 degrees geometry to two P5+ atoms. In the twenty-fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Fe+2.25+ and one P5+ atom. In the twenty-sixth O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one Fe+2.25+, and one P5+ atom. In the twenty-seventh O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Fe+2.25+ and one P5+ atom. In the twenty-eighth O2- site, O2- is bonded in a 2-coordinate geometry to two equivalent Li1+ and one P5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li5Mo15S19 by Materials Project

Li5Mo15S19 crystallizes in the monoclinic P2_1/m space group. The structure is three-dimensional. there are four inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a 1-coordinate geometry to seven S2- atoms. There are a spread of Li–S bond distances ranging from 2.39–3.23 Å. In the second Li1+ site, Li1+ is bonded to six S2- atoms to form distorted LiS6 octahedra that share corners with eight MoS5 square pyramids, edges with four MoS5 square pyramids, and faces with two LiS6 octahedra. There are a spread of Li–S bond distances ranging from 2.48–2.86 Å. In the third Li1+ site, Li1+ is bonded to six S2- atoms to form distorted LiS6 octahedra that share corners with eight MoS5 square pyramids, edges with four MoS5 square pyramids, and faces with two LiS6 octahedra. There are a spread of Li–S bond distances ranging from 2.48–2.86 Å. In the fourth Li1+ site, Li1+ is bonded to six S2- atoms to form distorted LiS6 octahedra that share corners with eight MoS5 square pyramids, edges with four MoS5 square pyramids, and faces with two LiS6 octahedra. There are a spread of Li–S bond distances ranging from 2.48–2.86 Å. There are nine inequivalent Mo+2.20+ sites. In the first Mo+2.20+ site, Mo+2.20+ is bonded to five S2- atoms to form MoS5 square pyramids that share corners with two LiS6 octahedra, corners with three MoS5 square pyramids, an edgeedge with one LiS6 octahedra, and edges with five MoS5 square pyramids. The corner-sharing octahedra tilt angles range from 29–52°. There are a spread of Mo–S bond distances ranging from 2.44–2.59 Å. In the second Mo+2.20+ site, Mo+2.20+ is bonded to five S2- atoms to form MoS5 square pyramids that share corners with two LiS6 octahedra, corners with three MoS5 square pyramids, an edgeedge with one LiS6 octahedra, and edges with five MoS5 square pyramids. The corner-sharing octahedra tilt angles range from 29–52°. There are a spread of Mo–S bond distances ranging from 2.44–2.59 Å. In the third Mo+2.20+ site, Mo+2.20+ is bonded to five S2- atoms to form MoS5 square pyramids that share corners with two LiS6 octahedra, corners with three MoS5 square pyramids, an edgeedge with one LiS6 octahedra, and edges with five MoS5 square pyramids. The corner-sharing octahedra tilt angles range from 29–51°. There are a spread of Mo–S bond distances ranging from 2.44–2.58 Å. In the fourth Mo+2.20+ site, Mo+2.20+ is bonded to five S2- atoms to form MoS5 square pyramids that share corners with two LiS6 octahedra, corners with four MoS5 square pyramids, an edgeedge with one LiS6 octahedra, and edges with three MoS5 square pyramids. The corner-sharing octahedra tilt angles range from 47–60°. There are a spread of Mo–S bond distances ranging from 2.41–2.61 Å. In the fifth Mo+2.20+ site, Mo+2.20+ is bonded to five S2- atoms to form MoS5 square pyramids that share corners with two LiS6 octahedra, corners with four MoS5 square pyramids, an edgeedge with one LiS6 octahedra, and edges with three MoS5 square pyramids. The corner-sharing octahedra tilt angles range from 47–60°. There are a spread of Mo–S bond distances ranging from 2.41–2.61 Å. In the sixth Mo+2.20+ site, Mo+2.20+ is bonded to five S2- atoms to form MoS5 square pyramids that share corners with two LiS6 octahedra, corners with four MoS5 square pyramids, an edgeedge with one LiS6 octahedra, and edges with three MoS5 square pyramids. The corner-sharing octahedra tilt angles range from 47–60°. There are a spread of Mo–S bond distances ranging from 2.41–2.61 Å. In the seventh Mo+2.20+ site, Mo+2.20+ is bonded in a see-saw-like geometry to four S2- atoms. There are a spread of Mo–S bond distances ranging from 2.46–2.48 Å. In the eighth Mo+2.20+ site, Mo+2.20+ is bonded in a see-saw-like geometry to four S2- atoms. There are a spread of Mo–S bond distances ranging from 2.46–2.48 Å. In the ninth Mo+2.20+ site, Mo+2.20+ is bonded in a see-saw-like geometry to four S2- atoms. There are a spread of Mo–S bond distances ranging from 2.46–2.48 Å. There are eleven inequivalent S2- sites. In the first S2- site, S2- is bonded in a 6-coordinate geometry to three Li1+ and three Mo+2.20+ atoms. In the second S2- site, S2- is bonded in a 1-coordinate geometry to one Li1+ and three Mo+2.20+ atoms. In the third S2- site, S2- is bonded in a 6-coordinate geometry to two Li1+ and four Mo+2.20+ atoms. In the fourth S2- site, S2- is bonded in a 6-coordinate geometry to two Li1+ and four Mo+2.20+ atoms. In the fifth S2- site, S2- is bonded in a 6-coordinate geometry to two Li1+ and four Mo+2.20+ atoms. In the sixth S2- site, S2- is bonded in a 5-coordinate geometry to one Li1+ and four Mo+2.20+ atoms. In the seventh S2- site, S2- is bonded in a 5-coordinate geometry to one Li1+ and four Mo+2.20+ atoms. In the eighth S2- site, S2- is bonded in a 5-coordinate geometry to one Li1+ and four Mo+2.20+ atoms. In the ninth S2- site, S2- is bonded in a 6-coordinate geometry to two Li1+ and four Mo+2.20+ atoms. In the tenth S2- site, S2- is bonded in a 6-coordinate geometry to two Li1+ and four Mo+2.20+ atoms. In the eleventh S2- site, S2- is bonded in a 6-coordinate geometry to two Li1+ and four Mo+2.20+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Li9Mn2Co5O16 by Materials Project

Li9Mn2Co5O16 is Caswellsilverite-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are nine inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with five CoO6 octahedra, edges with three MnO6 octahedra, edges with three CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–13°. There are a spread of Li–O bond distances ranging from 2.03–2.16 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one MnO6 octahedra, corners with five CoO6 octahedra, an edgeedge with one MnO6 octahedra, edges with four CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–13°. There are a spread of Li–O bond distances ranging from 2.11–2.23 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one CoO6 octahedra, corners with four equivalent MnO6 octahedra, an edgeedge with one MnO6 octahedra, edges with five CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–8°. There are a spread of Li–O bond distances ranging from 1.98–2.33 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one MnO6 octahedra, corners with five CoO6 octahedra, an edgeedge with one MnO6 octahedra, edges with four CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–11°. There are a spread of Li–O bond distances ranging from 2.08–2.22 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one CoO6 octahedra, corners with four equivalent LiO6 octahedra, an edgeedge with one MnO6 octahedra, edges with five CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–12°. There are a spread of Li–O bond distances ranging from 2.03–2.22 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one MnO6 octahedra, corners with five CoO6 octahedra, an edgeedge with one MnO6 octahedra, edges with three CoO6 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 2.08–2.23 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two CoO6 octahedra, corners with four equivalent MnO6 octahedra, an edgeedge with one MnO6 octahedra, edges with four CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–10°. There are a spread of Li–O bond distances ranging from 2.05–2.37 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six CoO6 octahedra, edges with two CoO6 octahedra, edges with three MnO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–15°. There are a spread of Li–O bond distances ranging from 2.08–2.25 Å. In the ninth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, an edgeedge with one MnO6 octahedra, edges with five CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–12°. There are a spread of Li–O bond distances ranging from 2.03–2.17 Å. There are two inequivalent Mn+4.50+ sites. In the first Mn+4.50+ site, Mn+4.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, an edgeedge with one MnO6 octahedra, edges with four CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–10°. There are a spread of Mn–O bond distances ranging from 1.89–2.02 Å. In the second Mn+4.50+ site, Mn+4.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, an edgeedge with one MnO6 octahedra, edges with five CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–8°. There are a spread of Mn–O bond distances ranging from 1.91–1.97 Å. There are five inequivalent Co+2.80+ sites. In the first Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, an edgeedge with one MnO6 octahedra, edges with four CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–11°. There are a spread of Co–O bond distances ranging from 1.88–2.20 Å. In the second Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with two CoO6 octahedra, edges with three MnO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–15°. There are a spread of Co–O bond distances ranging from 1.84–2.22 Å. In the third Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with three MnO6 octahedra, edges with three CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–13°. There are a spread of Co–O bond distances ranging from 1.90–2.15 Å. In the fourth Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, an edgeedge with one MnO6 octahedra, edges with four CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–13°. There are a spread of Co–O bond distances ranging from 1.91–2.23 Å. In the fifth Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, an edgeedge with one MnO6 octahedra, edges with three CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–10°. There are a spread of Co–O bond distances ranging from 1.93–2.10 Å. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded to three Li1+, two Mn+4.50+, and one Co+2.80+ atom to form a mixture of edge and corner-sharing OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 2–7°. In the second O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two Co+2.80+ atoms to form OLi3MnCo2 octahedra that share corners with six OLi4Co2 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 2–9°. In the third O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two Co+2.80+ atoms to form OLi3MnCo2 octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 1–8°. In the fourth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form OLi3Co3 octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 0–8°. In the fifth O2- site, O2- is bonded to four Li1+ and two Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi4Co2 octahedra. The corner-sharing octahedra tilt angles range from 3–10°. In the sixth O2- site, O2- is bonded to four Li1+ and two Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi4Co2 octahedra. The corner-sharing octahedra tilt angles range from 2–5°. In the seventh O2- site, O2- is bonded to four Li1+, one Mn+4.50+, and one Co+2.80+ atom to form OLi4MnCo octahedra that share corners with six OLi4Co2 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 4–10°. In the eighth O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two Co+2.80+ atoms to form OLi3MnCo2 octahedra that share corners with six OLi4Co2 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 2–10°. In the ninth O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two Co+2.80+ atoms to form OLi3MnCo2 octahedra that share corners with six OLi3Mn2Co octahedra and edges with twelve OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 2–4°. In the tenth O2- site, O2- is bonded to four Li1+ and two Co+2.80+ atoms to form OLi4Co2 octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 2–9°. In the eleventh O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two Co+2.80+ atoms to form OLi3MnCo2 octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 1–10°. In the twelfth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form OLi3Co3 octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 2–8°. In the thirteenth O2- site, O2- is bonded to four Li1+, one Mn+4.50+, and one Co+2.80+ atom to form OLi4MnCo octahedra that share corners with six OLi3Mn2Co octahedra and edges with twelve OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 3–8°. In the fourteenth O2- site, O2- is bonded to four Li1+ and two Co+2.80+ atoms to form OLi4Co2 octahedra that share corners with six OLi3Mn2Co octahedra and edges with twelve OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 2–7°. In the fifteenth O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two Co+2.80+ atoms to form OLi3MnCo2 octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 5–10°. In the sixteenth O2- site, O2- is bonded to three Li1+, two Mn+4.50+, and one Co+2.80+ atom to form OLi3Mn2Co octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 0–10°.

36 MATERIALS SCIENCE↗

Materials Data on Li17Fe4(CO3)16 by Materials Project

Li17Fe4(CO3)16 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are seventeen inequivalent Li sites. In the first Li site, Li is bonded to five O atoms to form distorted LiO5 trigonal bipyramids that share a cornercorner with one FeO6 octahedra, a cornercorner with one LiO5 square pyramid, an edgeedge with one LiO4 tetrahedra, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 62°. There are a spread of Li–O bond distances ranging from 2.06–2.29 Å. In the second Li site, Li is bonded to five O atoms to form LiO5 square pyramids that share corners with two FeO6 octahedra, a cornercorner with one LiO5 trigonal bipyramid, and an edgeedge with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 73–79°. There are a spread of Li–O bond distances ranging from 2.00–2.19 Å. In the third Li site, Li is bonded to five O atoms to form LiO5 square pyramids that share corners with two FeO6 octahedra and a cornercorner with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 74–81°. There are a spread of Li–O bond distances ranging from 2.02–2.18 Å. In the fourth Li site, Li is bonded to four O atoms to form distorted LiO4 trigonal pyramids that share corners with two LiO4 tetrahedra and an edgeedge with one LiO5 square pyramid. There are a spread of Li–O bond distances ranging from 1.93–2.07 Å. In the fifth Li site, Li is bonded in a distorted rectangular see-saw-like geometry to four O atoms. There are a spread of Li–O bond distances ranging from 2.01–2.09 Å. In the sixth Li site, Li is bonded to four O atoms to form distorted LiO4 tetrahedra that share a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one FeO6 octahedra, and an edgeedge with one LiO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.96–2.07 Å. In the seventh Li site, Li is bonded to four O atoms to form distorted LiO4 tetrahedra that share a cornercorner with one LiO4 trigonal pyramid and an edgeedge with one FeO6 octahedra. There are a spread of Li–O bond distances ranging from 1.96–2.05 Å. In the eighth Li site, Li is bonded to four O atoms to form distorted LiO4 tetrahedra that share corners with three FeO6 octahedra and a cornercorner with one LiO5 square pyramid. The corner-sharing octahedra tilt angles range from 17–66°. There are a spread of Li–O bond distances ranging from 1.99–2.16 Å. In the ninth Li site, Li is bonded in a 4-coordinate geometry to five O atoms. There are a spread of Li–O bond distances ranging from 1.98–2.55 Å. In the tenth Li site, Li is bonded to four O atoms to form distorted LiO4 tetrahedra that share a cornercorner with one LiO5 trigonal bipyramid and an edgeedge with one FeO6 octahedra. There are a spread of Li–O bond distances ranging from 1.96–2.05 Å. In the eleventh Li site, Li is bonded to four O atoms to form LiO4 trigonal pyramids that share a cornercorner with one LiO5 trigonal bipyramid, an edgeedge with one FeO6 octahedra, and an edgeedge with one LiO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.97–2.08 Å. In the twelfth Li site, Li is bonded in a distorted see-saw-like geometry to four O atoms. There are a spread of Li–O bond distances ranging from 1.94–2.13 Å. In the thirteenth Li site, Li is bonded to five O atoms to form distorted LiO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, and an edgeedge with one LiO5 square pyramid. There are a spread of Li–O bond distances ranging from 1.98–2.30 Å. In the fourteenth Li site, Li is bonded to five O atoms to form LiO5 square pyramids that share corners with two FeO6 octahedra. The corner-sharing octahedra tilt angles range from 75–80°. There are a spread of Li–O bond distances ranging from 2.01–2.19 Å. In the fifteenth Li site, Li is bonded to five O atoms to form LiO5 square pyramids that share corners with two FeO6 octahedra, a cornercorner with one LiO5 trigonal bipyramid, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 73–76°. There are a spread of Li–O bond distances ranging from 2.03–2.26 Å. In the sixteenth Li site, Li is bonded in a 5-coordinate geometry to five O atoms. There are a spread of Li–O bond distances ranging from 2.05–2.43 Å. In the seventeenth Li site, Li is bonded to five O atoms to form LiO5 trigonal bipyramids that share a cornercorner with one FeO6 octahedra, a cornercorner with one LiO5 square pyramid, an edgeedge with one LiO5 trigonal bipyramid, and an edgeedge with one LiO4 trigonal pyramid. The corner-sharing octahedral tilt angles are 63°. There are a spread of Li–O bond distances ranging from 2.06–2.28 Å. There are four inequivalent Fe sites. In the first Fe site, Fe is bonded to six O atoms to form distorted FeO6 octahedra that share corners with two LiO5 square pyramids, a cornercorner with one LiO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, and an edgeedge with one LiO4 tetrahedra. There are a spread of Fe–O bond distances ranging from 2.05–2.10 Å. In the second Fe site, Fe is bonded to six O atoms to form distorted FeO6 octahedra that share corners with two LiO5 square pyramids, a cornercorner with one LiO4 tetrahedra, and an edgeedge with one LiO4 tetrahedra. There are a spread of Fe–O bond distances ranging from 2.00–2.16 Å. In the third Fe site, Fe is bonded to six O atoms to form distorted FeO6 octahedra that share corners with two LiO5 square pyramids and an edgeedge with one LiO4 tetrahedra. There are a spread of Fe–O bond distances ranging from 2.05–2.09 Å. In the fourth Fe site, Fe is bonded to six O atoms to form distorted FeO6 octahedra that share corners with two LiO5 square pyramids, a cornercorner with one LiO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Fe–O bond distances ranging from 2.02–2.15 Å. There are sixteen inequivalent C sites. In the first C site, C is bonded in a trigonal planar geometry to three O atoms. There is two shorter (1.28 Å) and one longer (1.32 Å) C–O bond length. In the second C site, C is bonded in a trigonal planar geometry to three O atoms. There are a spread of C–O bond distances ranging from 1.27–1.32 Å. In the third C site, C is bonded in a trigonal planar geometry to three O atoms. There is two shorter (1.27 Å) and one longer (1.34 Å) C–O bond length. In the fourth C site, C is bonded in a trigonal planar geometry to three O atoms. There are a spread of C–O bond distances ranging from 1.28–1.31 Å. In the fifth C site, C is bonded in a trigonal planar geometry to three O atoms. There are a spread of C–O bond distances ranging from 1.26–1.32 Å. In the sixth C site, C is bonded in a trigonal planar geometry to three O atoms. There are a spread of C–O bond distances ranging from 1.28–1.31 Å. In the seventh C site, C is bonded in a trigonal planar geometry to three O atoms. There are a spread of C–O bond distances ranging from 1.27–1.32 Å. In the eighth C site, C is bonded in a trigonal planar geometry to three O atoms. There are a spread of C–O bond distances ranging from 1.26–1.32 Å. In the ninth C site, C is bonded in a trigonal planar geometry to three O atoms. There are a spread of C–O bond distances ranging from 1.27–1.32 Å. In the tenth C site, C is bonded in a trigonal planar geometry to three O atoms. There are a spread of C–O bond distances ranging from 1.26–1.32 Å. In the eleventh C site, C is bonded in a trigonal planar geometry to three O atoms. There is one shorter (1.26 Å) and two longer (1.31 Å) C–O bond length. In the twelfth C site, C is bonded in a trigonal planar geometry to three O atoms. There are a spread of C–O bond distances ranging from 1.28–1.31 Å. In the thirteenth C site, C is bonded in a trigonal planar geometry to three O atoms. There are a spread of C–O bond distances ranging from 1.27–1.33 Å. In the fourteenth C site, C is bonded in a trigonal planar geometry to three O atoms. There are a spread of C–O bond distances ranging from 1.27–1.34 Å. In the fifteenth C site, C is bonded in a trigonal planar geometry to three O atoms. There are a spread of C–O bond distances ranging from 1.26–1.32 Å. In the sixteenth C site, C is bonded in a trigonal planar geometry to three O atoms. There are a spread of C–O bond distances ranging from 1.27–1.32 Å. There are forty-eight inequivalent O sites. In the first O site, O is bonded in a 3-coordinate geometry to two Li and one C atom. In the second O site, O is bonded in a distorted bent 120 degrees geometry to one Li and one C atom. In the third O site, O is bonded in a bent 120 degrees geometry to one Li and one C atom. In the fourth O site, O is bonded in a 1-coordinate geometry to two Li and one C atom. In the fifth O site, O is bonded in a distorted trigonal planar geometry to one Li, one Fe, and one C atom. In the sixth O site, O is bonded in a 3-coordinate geometry to one Li, one Fe, and one C atom. In the seventh O site, O is bonded in a trigonal planar geometry to two Li and one C atom. In the eighth O site, O is bonded to three Li and one C atom to form distorted edge-sharing OLi3C tetrahedra. In the ninth O site, O is bonded in a distorted T-shaped geometry to two Li and one C atom. In the tenth O site, O is bonded in a distorted T-shaped geometry to two Li and one C atom. In the eleventh O site, O is bonded to two Li, one Fe, and one C atom to form distorted edge-sharing OLi2FeC tetrahedra. In the twelfth O site, O is bonded in a distorted trigonal planar geometry to one Li, one Fe, and one C atom. In the thirteenth O site, O is bonded in a distorted trigonal planar geometry to two Li and one C atom. In the fourteenth O site, O is bonded in a 3-coordinate geometry to one Li, one Fe, and one C atom. In the fifteenth O site, O is bonded in a distorted rectangular see-saw-like geometry to three Li and one C atom. In the sixteenth O site, O is bonded in a distorted trigonal non-coplanar geometry to one Li, one Fe, and one C atom. In the seventeenth O site, O is bonded in a distorted trigonal planar geometry to one Li, one Fe, and one C atom. In the eighteenth O site, O is bonded in a distorted trigonal planar geometry to one Li, one Fe, and one C atom. In the nineteenth O site, O is bonded in a distorted trigonal planar geometry to two Li and one C atom. In the twentieth O site, O is bonded in a 3-coordinate geometry to two Li and one C atom. In the twenty-first O site, O is bonded in a distorted trigonal non-coplanar geometry to one Li, one Fe, and one C atom. In the twenty-second O site, O is bonded in a distorted T-shaped geometry to one Li, one Fe, and one C atom. In the twenty-third O site, O is bonded in an L-shaped geometry to one Fe and one C atom. In the twenty-fourth O site, O is bonded in a 3-coordinate geometry to one Li, one Fe, and one C atom. In the twenty-fifth O site, O is bonded in an L-shaped geometry to one Fe and one C atom. In the twenty-sixth O site, O is bonded in a 3-coordinate geometry to one Li, one Fe, and one C atom. In the twenty-seventh O site, O is bonded in a distorted trigonal non-coplanar geometry to one Li, one Fe, and one C atom. In the twenty-eighth O site, O is bonded in a distorted T-shaped geometry to one Li, one Fe, and one C atom. In the twenty-ninth O site, O is bonded in a distorted T-shaped geometry to two Li and one C atom. In the thirtieth O site, O is bonded in a distorted trigonal planar geometry to two Li and one C atom. In the thirty-first O site, O is bonded in a distorted trigonal planar geometry to one Li, one Fe, and one C atom. In the thirty-second O site, O is bonded in a distorted trigonal planar geometry to one Li, one Fe, and one C atom. In the thirty-third O site, O is bonded in a 3-coordinate geometry to two Li, one Fe, and one C atom. In the thirty-fo

36 MATERIALS SCIENCE↗

Materials Data on Li9Mn2Co5O16 by Materials Project

Li9Mn2Co5O16 is Caswellsilverite-derived structured and crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are nine inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three equivalent MnO6 octahedra, corners with three equivalent CoO6 octahedra, an edgeedge with one CoO6 octahedra, edges with five MnO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–7°. There are a spread of Li–O bond distances ranging from 2.14–2.18 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three equivalent MnO6 octahedra, corners with three equivalent CoO6 octahedra, an edgeedge with one MnO6 octahedra, edges with five CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–10°. There are a spread of Li–O bond distances ranging from 2.07–2.25 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six CoO6 octahedra, edges with six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 3–11°. There are a spread of Li–O bond distances ranging from 2.11–2.19 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three equivalent LiO6 octahedra, corners with three equivalent CoO6 octahedra, edges with five CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–11°. There are a spread of Li–O bond distances ranging from 2.04–2.27 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six CoO6 octahedra, edges with two CoO6 octahedra, and edges with ten LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–11°. There are a spread of Li–O bond distances ranging from 2.12–2.35 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three equivalent MnO6 octahedra, corners with three equivalent CoO6 octahedra, an edgeedge with one CoO6 octahedra, edges with five MnO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–8°. There are a spread of Li–O bond distances ranging from 2.13–2.18 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three equivalent MnO6 octahedra, corners with three equivalent CoO6 octahedra, an edgeedge with one MnO6 octahedra, edges with five CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–11°. There are a spread of Li–O bond distances ranging from 2.14–2.19 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three equivalent LiO6 octahedra, corners with three equivalent CoO6 octahedra, edges with five CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–11°. There are a spread of Li–O bond distances ranging from 2.03–2.26 Å. In the ninth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with four CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–11°. There are a spread of Li–O bond distances ranging from 2.06–2.22 Å. There are two inequivalent Mn+4.50+ sites. In the first Mn+4.50+ site, Mn+4.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent CoO6 octahedra, edges with four MnO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–8°. There are a spread of Mn–O bond distances ranging from 1.95–2.29 Å. In the second Mn+4.50+ site, Mn+4.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent CoO6 octahedra, edges with four MnO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–8°. There are a spread of Mn–O bond distances ranging from 1.96–2.26 Å. There are five inequivalent Co+2.80+ sites. In the first Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–7°. There are a spread of Co–O bond distances ranging from 1.93–2.29 Å. In the second Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 2–10°. There are a spread of Co–O bond distances ranging from 1.94–2.15 Å. In the third Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form distorted CoO6 octahedra that share corners with six LiO6 octahedra, edges with four CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–11°. There are a spread of Co–O bond distances ranging from 1.78–2.33 Å. In the fourth Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form distorted CoO6 octahedra that share corners with six LiO6 octahedra, edges with four CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–11°. There are a spread of Co–O bond distances ranging from 1.78–2.37 Å. In the fifth Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–7°. There are a spread of Co–O bond distances ranging from 1.92–2.26 Å. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded to three Li1+ and three Mn+4.50+ atoms to form OLi3Mn3 octahedra that share corners with six OLi3Mn2Co octahedra and edges with twelve OLi3Mn3 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. In the second O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two equivalent Co+2.80+ atoms to form OLi3MnCo2 octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi3Mn3 octahedra. The corner-sharing octahedra tilt angles range from 1–2°. In the third O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form OLi3Co3 octahedra that share corners with six OLi3Mn2Co octahedra and edges with twelve OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 1–3°. In the fourth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–14°. In the fifth O2- site, O2- is bonded to five Li1+ and one Co+2.80+ atom to form a mixture of edge and corner-sharing OLi5Co octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the sixth O2- site, O2- is bonded to three Li1+, two equivalent Mn+4.50+, and one Co+2.80+ atom to form a mixture of edge and corner-sharing OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the seventh O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form distorted OLi3Co3 octahedra that share corners with six OLi5Co octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 2–8°. In the eighth O2- site, O2- is bonded to four Li1+ and two equivalent Co+2.80+ atoms to form OLi4Co2 octahedra that share corners with six OLi4Co2 octahedra and edges with twelve OLi5Co octahedra. The corner-sharing octahedra tilt angles range from 1–15°. In the ninth O2- site, O2- is bonded to three Li1+, two equivalent Mn+4.50+, and one Co+2.80+ atom to form a mixture of edge and corner-sharing OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the tenth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedral tilt angles are 2°. In the eleventh O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 3–7°. In the twelfth O2- site, O2- is bonded to four Li1+ and two equivalent Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi4Co2 octahedra. The corner-sharing octahedra tilt angles range from 1–14°. In the thirteenth O2- site, O2- is bonded to five Li1+ and one Co+2.80+ atom to form a mixture of edge and corner-sharing OLi5Co octahedra. The corner-sharing octahedra tilt angles range from 0–8°. In the fourteenth O2- site, O2- is bonded to three Li1+ and three Mn+4.50+ atoms to form OLi3Mn3 octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi3Mn3 octahedra. The corner-sharing octahedra tilt angles range from 1–2°. In the fifteenth O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two equivalent Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. In the sixteenth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 0–15°.

36 MATERIALS SCIENCE↗

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