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Materials Data on Sr2Ca49Mo12N56O3 by Materials Project

Sr2Ca49Mo12N56O3 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. Sr is bonded in a 8-coordinate geometry to six N and two O atoms. There are a spread of Sr–N bond distances ranging from 2.65–3.08 Å. There are one shorter (2.63 Å) and one longer (2.73 Å) Sr–O bond lengths. There are twenty-five inequivalent Ca sites. In the first Ca site, Ca is bonded to six N atoms to form distorted CaN6 octahedra that share corners with two CaN6 octahedra, a cornercorner with one MoN4 tetrahedra, edges with six CaN6 octahedra, an edgeedge with one CaN5 square pyramid, and edges with two MoN4 tetrahedra. The corner-sharing octahedra tilt angles range from 11–12°. There are a spread of Ca–N bond distances ranging from 2.33–2.93 Å. In the second Ca site, Ca is bonded to six N atoms to form distorted CaN6 octahedra that share corners with three CaN6 octahedra, corners with two CaN5 square pyramids, a cornercorner with one MoN4 tetrahedra, edges with eight CaN6 octahedra, and edges with two MoN4 tetrahedra. The corner-sharing octahedra tilt angles range from 7–10°. There are a spread of Ca–N bond distances ranging from 2.40–2.71 Å. In the third Ca site, Ca is bonded to six N atoms to form CaN6 octahedra that share a cornercorner with one CaN5O octahedra, a cornercorner with one CaN4O square pyramid, corners with two MoN4 tetrahedra, edges with six CaN6 octahedra, edges with three CaN5 square pyramids, and an edgeedge with one MoN4 tetrahedra. The corner-sharing octahedral tilt angles are 3°. There are a spread of Ca–N bond distances ranging from 2.37–2.66 Å. In the fourth Ca site, Ca is bonded to five N atoms to form distorted CaN5 square pyramids that share corners with three CaN6 octahedra, corners with two MoN4 tetrahedra, a cornercorner with one CaN5 trigonal bipyramid, edges with four CaN6 octahedra, an edgeedge with one CaN4O square pyramid, an edgeedge with one MoN4 tetrahedra, and an edgeedge with one CaN5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 3–11°. There are a spread of Ca–N bond distances ranging from 2.34–2.83 Å. In the fifth Ca site, Ca is bonded in a 6-coordinate geometry to five N and one O atom. There are a spread of Ca–N bond distances ranging from 2.47–2.97 Å. The Ca–O bond length is 2.41 Å. In the sixth Ca site, Ca is bonded in a 5-coordinate geometry to four N and one O atom. There are a spread of Ca–N bond distances ranging from 2.36–2.45 Å. The Ca–O bond length is 2.73 Å. In the seventh Ca site, Ca is bonded in a 6-coordinate geometry to six N atoms. There are a spread of Ca–N bond distances ranging from 2.36–2.99 Å. In the eighth Ca site, Ca is bonded to four N and one O atom to form CaN4O square pyramids that share corners with two CaN6 octahedra, corners with four MoN4 tetrahedra, a cornercorner with one CaN5 trigonal bipyramid, edges with four CaN6 octahedra, and edges with two CaN5 square pyramids. The corner-sharing octahedra tilt angles range from 11–12°. There are a spread of Ca–N bond distances ranging from 2.49–2.79 Å. The Ca–O bond length is 2.32 Å. In the ninth Ca site, Ca is bonded to six N atoms to form distorted CaN6 octahedra that share corners with three CaN6 octahedra, corners with two CaN5 square pyramids, corners with two MoN4 tetrahedra, a cornercorner with one CaN5 trigonal bipyramid, edges with three CaN6 octahedra, edges with two CaN5 square pyramids, edges with two MoN4 tetrahedra, and an edgeedge with one CaN5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 11–39°. There are a spread of Ca–N bond distances ranging from 2.45–2.69 Å. In the tenth Ca site, Ca is bonded to six N atoms to form distorted CaN6 octahedra that share corners with four CaN6 octahedra, corners with two CaN5 square pyramids, a cornercorner with one MoN4 tetrahedra, edges with six CaN6 octahedra, and edges with two MoN4 tetrahedra. The corner-sharing octahedra tilt angles range from 12–25°. There are a spread of Ca–N bond distances ranging from 2.40–2.85 Å. In the eleventh Ca site, Ca is bonded to six N atoms to form distorted CaN6 octahedra that share corners with three CaN6 octahedra, corners with two equivalent CaN5 square pyramids, a cornercorner with one MoN4 tetrahedra, edges with seven CaN6 octahedra, and edges with two MoN4 tetrahedra. The corner-sharing octahedra tilt angles range from 8–24°. There are a spread of Ca–N bond distances ranging from 2.39–2.88 Å. In the twelfth Ca site, Ca is bonded to six N atoms to form distorted CaN6 octahedra that share a cornercorner with one CaN6 octahedra, corners with three CaN5 square pyramids, a cornercorner with one MoN4 tetrahedra, edges with seven CaN6 octahedra, an edgeedge with one CaN5 square pyramid, and edges with two equivalent MoN4 tetrahedra. The corner-sharing octahedral tilt angles are 11°. There are a spread of Ca–N bond distances ranging from 2.36–2.75 Å. In the thirteenth Ca site, Ca is bonded to six N atoms to form distorted CaN6 octahedra that share corners with four CaN6 octahedra, a cornercorner with one CaN5 square pyramid, a cornercorner with one MoN4 tetrahedra, edges with three CaN6 octahedra, edges with three CaN5 square pyramids, edges with two MoN4 tetrahedra, and an edgeedge with one CaN5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 4–35°. There are a spread of Ca–N bond distances ranging from 2.36–2.99 Å. In the fourteenth Ca site, Ca is bonded to five N and one O atom to form distorted CaN5O octahedra that share corners with three CaN6 octahedra, a cornercorner with one CaN5 square pyramid, a cornercorner with one MoN4 tetrahedra, edges with five CaN6 octahedra, an edgeedge with one CaN4O square pyramid, and edges with two equivalent MoN4 tetrahedra. The corner-sharing octahedra tilt angles range from 13–44°. There are a spread of Ca–N bond distances ranging from 2.46–2.67 Å. The Ca–O bond length is 2.31 Å. In the fifteenth Ca site, Ca is bonded to five N and one O atom to form distorted CaN5O octahedra that share corners with three CaN5O octahedra, corners with two CaN5 square pyramids, corners with three MoN4 tetrahedra, edges with five CaN6 octahedra, an edgeedge with one CaN4O square pyramid, and an edgeedge with one MoN4 tetrahedra. The corner-sharing octahedra tilt angles range from 9–47°. There are a spread of Ca–N bond distances ranging from 2.43–2.96 Å. The Ca–O bond length is 2.36 Å. In the sixteenth Ca site, Ca is bonded to five N atoms to form distorted CaN5 square pyramids that share corners with six CaN6 octahedra, a cornercorner with one MoN4 tetrahedra, edges with four CaN6 octahedra, edges with two CaN5 square pyramids, and an edgeedge with one MoN4 tetrahedra. The corner-sharing octahedra tilt angles range from 2–90°. There are a spread of Ca–N bond distances ranging from 2.34–2.67 Å. In the seventeenth Ca site, Ca is bonded to five N atoms to form CaN5 square pyramids that share corners with five CaN6 octahedra, corners with three MoN4 tetrahedra, edges with four CaN6 octahedra, and an edgeedge with one CaN5 square pyramid. The corner-sharing octahedra tilt angles range from 1–88°. There are a spread of Ca–N bond distances ranging from 2.47–2.59 Å. In the eighteenth Ca site, Ca is bonded to six N atoms to form CaN6 octahedra that share corners with five CaN6 octahedra, a cornercorner with one CaN4O square pyramid, a cornercorner with one MoN4 tetrahedra, edges with five CaN6 octahedra, edges with two equivalent CaN5 square pyramids, and edges with two MoN4 tetrahedra. The corner-sharing octahedra tilt angles range from 4–50°. There are a spread of Ca–N bond distances ranging from 2.40–2.59 Å. In the nineteenth Ca site, Ca is bonded to six N atoms to form distorted CaN6 octahedra that share a cornercorner with one CaN6 octahedra, a cornercorner with one CaN5 square pyramid, corners with three MoN4 tetrahedra, edges with six CaN6 octahedra, edges with two CaN5 square pyramids, and an edgeedge with one MoN4 tetrahedra. The corner-sharing octahedral tilt angles are 10°. There are a spread of Ca–N bond distances ranging from 2.36–2.76 Å. In the twentieth Ca site, Ca is bonded in a 5-coordinate geometry to five N atoms. There are a spread of Ca–N bond distances ranging from 2.34–3.04 Å. In the twenty-first Ca site, Ca is bonded to four N and one O atom to form distorted CaN4O square pyramids that share corners with four CaN6 octahedra, a cornercorner with one CaN4O square pyramid, corners with four MoN4 tetrahedra, a cornercorner with one CaN5 trigonal bipyramid, and faces with two equivalent CaN5O octahedra. The corner-sharing octahedra tilt angles range from 34–90°. There are a spread of Ca–N bond distances ranging from 2.48–2.71 Å. The Ca–O bond length is 2.26 Å. In the twenty-second Ca site, Ca is bonded in a 6-coordinate geometry to six N atoms. There are a spread of Ca–N bond distances ranging from 2.41–3.02 Å. In the twenty-third Ca site, Ca is bonded to five N and one O atom to form distorted CaN5O octahedra that share corners with four CaN6 octahedra, a cornercorner with one CaN5 square pyramid, corners with four MoN4 tetrahedra, a cornercorner with one CaN5 trigonal bipyramid, edges with two CaN6 octahedra, and faces with two equivalent CaN4O square pyramids. The corner-sharing octahedra tilt angles range from 0–47°. There are a spread of Ca–N bond distances ranging from 2.37–2.66 Å. The Ca–O bond length is 2.30 Å. In the twenty-fourth Ca site, Ca is bonded to five N atoms to form CaN5 trigonal bipyramids that share corners with two CaN5O octahedra, corners with three CaN5 square pyramids, corners with three MoN4 tetrahedra, edges with two CaN6 octahedra, an edgeedge with one CaN5 square pyramid, an edgeedge with one MoN4 tetrahedra, and an edgeedge with one CaN5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 39–46°. There are a spread of Ca–N bond distances ranging from 2.33–2.52 Å. In the twenty-fifth Ca site, Ca is bonded to six N atoms to form CaN6 octahedra that share corners with four CaN6 octahedra, corners with two equivalent CaN5 square pyramids, corners with four MoN4 tetrahedra, and edges with four CaN6 octahedra. The corner-sharing octahedra tilt angles range from 44–50°. There are a spread of Ca–N bond distances ranging from 2.48–2.54 Å. There are six inequivalent Mo sites. In the first Mo site, Mo is bonded to four N atoms to form MoN4 tetrahedra that share corners with four CaN6 octahedra, corners with three CaN5 square pyramids, edges with two CaN6 octahedra, and an edgeedge with one CaN5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 6–83°. There are a spread of Mo–N bond distances ranging from 1.87–1.91 Å. In the second Mo site, Mo is bonded to four N atoms to form MoN4 tetrahedra that share corners with three CaN6 octahedra, corners with three CaN5 square pyramids, and edges with four CaN6 octahedra. The corner-sharing octahedra tilt angles range from 6–62°. There are a spread of Mo–N bond distances ranging from 1.88–1.91 Å. In the third Mo site, Mo is bonded to four N atoms to form MoN4 tetrahedra that share corners with four CaN6 octahedra, corners with three CaN5 square pyramids, a cornercorner with one CaN5 trigonal bipyramid, and edges with four CaN6 octahedra. The corner-sharing octahedra tilt angles range from 8–81°. There are a spread of Mo–N bond distances ranging from 1.87–1.93 Å. In the fourth Mo site, Mo is bonded to four N atoms to form MoN4 tetrahedra that share corners with seven CaN6 octahedra and edges with five CaN6 octahedra. The corner-sharing octahedra tilt angles range from 4–84°. There are a spread of Mo–N bond distances ranging from 1.87–1.91 Å. In the fifth Mo site, Mo is bonded to four N atoms to form MoN4 tetrahedra that share corners with two CaN6 octahedra, corners with four CaN5 square pyramids, corners with two equivalent CaN5 trigonal bipyramids, edges with two CaN6 octahedra, and an edgeedge with one CaN5 square

36 MATERIALS SCIENCE↗

Materials Data on Li9Mn2Co5O16 by Materials Project

Li9Mn2Co5O16 is Caswellsilverite-derived structured and crystallizes in the monoclinic Cm 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 distorted LiO6 octahedra that share a cornercorner with one MnO6 octahedra, corners with five CoO6 octahedra, edges with two equivalent MnO6 octahedra, edges with two CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–16°. There are a spread of Li–O bond distances ranging from 2.05–2.40 Å. In the second 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, 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 4–11°. There are a spread of Li–O bond distances ranging from 2.01–2.25 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three MnO6 octahedra, corners with three 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 1–12°. There are a spread of Li–O bond distances ranging from 2.05–2.25 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 two equivalent LiO6 octahedra, corners with three CoO6 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 5–11°. There are a spread of Li–O bond distances ranging from 2.00–2.26 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with five CoO6 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 3–13°. There are a spread of Li–O bond distances ranging from 2.05–2.26 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six CoO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–17°. There are a spread of Li–O bond distances ranging from 2.04–2.32 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, corners with two equivalent CoO6 octahedra, corners with three 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 0–15°. There are a spread of Li–O bond distances ranging from 1.99–2.30 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with two equivalent MnO6 octahedra, corners with two 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 2–13°. There are a spread of Li–O bond distances ranging from 1.97–2.38 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 two equivalent MnO6 octahedra, edges with two equivalent CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 0–13°. There are a spread of Li–O bond distances ranging from 2.07–2.13 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 6–12°. There are a spread of Mn–O bond distances ranging from 1.92–1.96 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 two equivalent CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–15°. There are a spread of Mn–O bond distances ranging from 1.82–2.03 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 six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 2–13°. There are a spread of Co–O bond distances ranging from 2.00–2.10 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 equivalent CoO6 octahedra, edges with four MnO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–11°. There are a spread of Co–O bond distances ranging from 1.92–1.96 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 5–11°. There are a spread of Co–O bond distances ranging from 1.81–2.22 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, 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 1–17°. There are a spread of Co–O bond distances ranging from 1.93–2.14 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 six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 2–4°. There are a spread of Co–O bond distances ranging from 1.91–2.11 Å. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded to three Li1+, two equivalent Mn+4.50+, and one Co+2.80+ atom to form OLi3Mn2Co octahedra that share corners with six OLi5Mn octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 1–12°. In the second O2- site, O2- is bonded to five Li1+ and one Co+2.80+ atom to form OLi5Co octahedra that share corners with six OLi5Mn octahedra and edges with twelve OLi5Co octahedra. The corner-sharing octahedra tilt angles range from 2–10°. 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 OLi5Mn octahedra and edges with twelve OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 3–8°. In the fourth 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 OLi3MnCo2 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 1–16°. In the fifth O2- site, O2- is bonded to four Li1+ and two equivalent Mn+4.50+ atoms to form OLi4Mn2 octahedra that share corners with six OLi3Mn2Co octahedra and edges with twelve OLi5Co octahedra. The corner-sharing octahedra tilt angles range from 3–8°. 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 OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 6–12°. In the seventh 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 OLi5Mn octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 1–11°. In the eighth 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 OLi5Co octahedra. The corner-sharing octahedra tilt angles range from 3–13°. In the ninth O2- site, O2- is bonded to five Li1+ and one Mn+4.50+ atom to form OLi5Mn octahedra that share corners with six OLi3Mn2Co octahedra and edges with twelve OLi5Co octahedra. The corner-sharing octahedra tilt angles range from 3–12°. In the tenth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form OLi3Co3 octahedra that share corners with six OLi5Co octahedra and edges with twelve OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 2–5°. In the eleventh 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 OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 1–8°. In the twelfth O2- site, O2- is bonded to three Li1+, two equivalent Mn+4.50+, and one Co+2.80+ atom to form OLi3Mn2Co octahedra that share corners with six OLi3Mn2Co octahedra and edges with twelve OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–8°. In the thirteenth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form a mixture of corner and edge-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 6–9°. In the fourteenth O2- site, O2- is bonded to three Li1+, two equivalent Mn+4.50+, and one Co+2.80+ atom to form a mixture of distorted corner and edge-sharing OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 2–12°. In the fifteenth O2- site, O2- is bonded to four Li1+ and two equivalent 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 3–16°. In the sixteenth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form OLi3Co3 octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi5Co octahedra. The corner-sharing octahedra tilt angles range from 6–10°.

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 three MnO6 octahedra, corners with three 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 5–10°. There are a spread of Li–O bond distances ranging from 2.08–2.18 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with five CoO6 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 4–10°. There are a spread of Li–O bond distances ranging from 2.01–2.19 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with four CoO6 octahedra, edges with five CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–11°. There are a spread of Li–O bond distances ranging from 2.03–2.18 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two MnO6 octahedra, corners with four CoO6 octahedra, edges with four 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 2.13–2.27 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three MnO6 octahedra, corners with three 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 3–12°. There are a spread of Li–O bond distances ranging from 2.10–2.38 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with four CoO6 octahedra, edges with two equivalent MnO6 octahedra, edges with three CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–11°. There are a spread of Li–O bond distances ranging from 1.99–2.31 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, corners with five CoO6 octahedra, edges with two CoO6 octahedra, edges with four MnO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–8°. There are a spread of Li–O bond distances ranging from 2.06–2.22 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two CoO6 octahedra, corners with four MnO6 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 4–13°. There are a spread of Li–O bond distances ranging from 2.06–2.40 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 two equivalent MnO6 octahedra, edges with two equivalent CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–11°. There are a spread of Li–O bond distances ranging from 2.03–2.30 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 4–7°. There are a spread of Mn–O bond distances ranging from 1.94–2.22 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 two equivalent CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–13°. There are a spread of Mn–O bond distances ranging from 1.84–2.02 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, 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 6–9°. There are a spread of Co–O bond distances ranging from 1.90–2.18 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 equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–8°. There are a spread of Co–O bond distances ranging from 1.90–2.19 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 four CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–10°. There are a spread of Co–O bond distances ranging from 1.75–2.20 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, edges with six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 3–8°. There are a spread of Co–O bond distances ranging from 1.96–2.15 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 3–7°. There are a spread of Co–O bond distances ranging from 1.92–2.17 Å. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded to three Li1+, two equivalent Mn+4.50+, and one Co+2.80+ atom to form OLi3Mn2Co octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 1–4°. In the second O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form OLi3Co3 octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. 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 OLi3MnCo2 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 1–5°. In the fourth 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 2–9°. In the fifth 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 1–7°. In the sixth O2- site, O2- is bonded to five Li1+ and one Mn+4.50+ atom to form OLi5Mn octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi4Co2 octahedra. The corner-sharing octahedra tilt angles range from 2–9°. In the seventh 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 OLi3MnCo2 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 1–4°. In the eighth 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 3–10°. In the ninth 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 1–9°. In the tenth 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 OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 1–6°. In the eleventh 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 2–7°. 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 OLi3Mn2Co octahedra and edges with twelve OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–8°. In the thirteenth O2- site, O2- is bonded to four Li1+ and two equivalent Mn+4.50+ atoms to form OLi4Mn2 octahedra that share corners with six OLi3Mn2Co octahedra and edges with twelve OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 3–7°. In the fourteenth 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 1–9°. In the fifteenth 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 OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 0–5°. In the sixteenth 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 1–10°.

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 LiO6 octahedra, corners with three equivalent CoO6 octahedra, an edgeedge with one CoO6 octahedra, edges with four equivalent MnO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–13°. There are a spread of Li–O bond distances ranging from 1.99–2.27 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 2.08–2.28 Å. In the third 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 3–8°. There are a spread of Li–O bond distances ranging from 2.06–2.20 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six CoO6 octahedra, edges with two CoO6 octahedra, edges with four equivalent MnO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–8°. There are a spread of Li–O bond distances ranging from 2.11–2.20 Å. In the fifth 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 3–8°. There are a spread of Li–O bond distances ranging from 2.09–2.21 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 MnO6 octahedra, an edgeedge with one CoO6 octahedra, and edges with ten LiO6 octahedra. The corner-sharing octahedra tilt angles range from 1–9°. There are a spread of Li–O bond distances ranging from 2.07–2.52 Å. In the seventh 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 3–15°. There are a spread of Li–O bond distances ranging from 2.06–2.15 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 six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 3–9°. There are a spread of Li–O bond distances ranging from 2.07–2.30 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 two equivalent MnO6 octahedra, edges with two equivalent CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–15°. There are a spread of Li–O bond distances ranging from 2.04–2.21 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 two equivalent CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 1–8°. There are a spread of Mn–O bond distances ranging from 1.83–2.08 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 four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–7°. There are a spread of Mn–O bond distances ranging from 1.97–2.22 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 3–12°. There are a spread of Co–O bond distances ranging from 1.94–2.16 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 equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–10°. There are a spread of Co–O bond distances ranging from 1.99–2.12 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 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 1.94–2.21 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, edges with six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 3–9°. There are a spread of Co–O bond distances ranging from 1.98–2.13 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 four CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–9°. There are a spread of Co–O bond distances ranging from 1.72–2.08 Å. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded to four Li1+ and two equivalent Mn+4.50+ atoms to form OLi4Mn2 octahedra that share corners with six OLi3Mn2Co octahedra and edges with twelve OLi4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 1–7°. 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 OLi4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 2–8°. 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 1–2°. In the fourth 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 1–3°. In the fifth 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 OLi3MnCo2 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 0–2°. In the sixth O2- site, O2- is bonded to five Li1+ and one Co+2.80+ atom to form distorted OLi5Co octahedra that share corners with six OLi5Mn octahedra and edges with twelve OLi4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 1–8°. 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 OLi3Co3 octahedra and edges with twelve OLi5Co octahedra. The corner-sharing octahedra tilt angles range from 0–8°. In the eighth 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 0–2°. 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 1–7°. 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 octahedra tilt angles range from 1–2°. In the eleventh 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 twelfth 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 thirteenth 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 1–3°. In the fourteenth O2- site, O2- is bonded to five Li1+ and one Mn+4.50+ atom to form OLi5Mn octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 1–8°. In the fifteenth 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 0–8°. 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 1–8°.

36 MATERIALS SCIENCE↗

Materials Data on Li9Mn2Co5O16 by Materials Project

Li9Mn2Co5O16 is Caswellsilverite-derived structured and crystallizes in the monoclinic Cm 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 MnO6 octahedra, corners with five CoO6 octahedra, edges with two equivalent MnO6 octahedra, edges with two CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–17°. There are a spread of Li–O bond distances ranging from 2.10–2.26 Å. In the second 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, 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 5–11°. There are a spread of Li–O bond distances ranging from 2.05–2.37 Å. In the third 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, 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 2.06–2.25 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 two equivalent LiO6 octahedra, corners with three CoO6 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 5–11°. There are a spread of Li–O bond distances ranging from 2.03–2.28 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one MnO6 octahedra, corners with four CoO6 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 3–8°. There are a spread of Li–O bond distances ranging from 2.05–2.29 Å. In the sixth 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, 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 1–10°. There are a spread of Li–O bond distances ranging from 2.01–2.32 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with two equivalent MnO6 octahedra, corners with two 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 3–10°. There are a spread of Li–O bond distances ranging from 2.00–2.28 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one MnO6 octahedra, corners with five CoO6 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 6–9°. There are a spread of Li–O bond distances ranging from 2.11–2.22 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 two equivalent MnO6 octahedra, edges with two equivalent CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 1–10°. There are a spread of Li–O bond distances ranging from 2.07–2.15 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 4–10°. There are a spread of Mn–O bond distances ranging from 1.92–1.99 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 two equivalent CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–11°. There are a spread of Mn–O bond distances ranging from 1.83–2.10 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 six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 6–8°. There are a spread of Co–O bond distances ranging from 1.95–2.15 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 equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–17°. There are a spread of Co–O bond distances ranging from 1.83–2.23 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 two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–14°. There are a spread of Co–O bond distances ranging from 2.00–2.10 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 6–11°. There are a spread of Co–O bond distances ranging from 1.80–2.20 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 3–11°. There are a spread of Co–O bond distances ranging from 2.00–2.07 Å. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded to three Li1+, two equivalent Mn+4.50+, and one Co+2.80+ atom to form OLi3Mn2Co octahedra that share corners with six OLi5Mn octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 1–8°. In the second O2- site, O2- is bonded to five Li1+ and one Co+2.80+ atom to form OLi5Co octahedra that share corners with six OLi5Mn octahedra and edges with twelve OLi5Co octahedra. The corner-sharing octahedra tilt angles range from 3–10°. In the third O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form a mixture of corner and edge-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–6°. In the fourth O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two equivalent Co+2.80+ atoms to form distorted OLi3MnCo2 octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 0–13°. In the fifth O2- site, O2- is bonded to four Li1+ and two equivalent Mn+4.50+ atoms to form OLi4Mn2 octahedra that share corners with six OLi3Mn2Co octahedra and edges with twelve OLi5Co octahedra. The corner-sharing octahedra tilt angles range from 1–10°. 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 OLi3MnCo2 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 1–6°. 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 OLi5Mn octahedra and edges with twelve OLi5Co octahedra. The corner-sharing octahedra tilt angles range from 3–13°. In the eighth 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 OLi5Mn octahedra and edges with twelve OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–5°. In the ninth O2- site, O2- is bonded to five Li1+ and one Mn+4.50+ atom to form OLi5Mn octahedra that share corners with six OLi3Mn2Co octahedra and edges with twelve OLi5Co octahedra. The corner-sharing octahedra tilt angles range from 3–8°. In the tenth 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 OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–5°. In the eleventh O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form a mixture of corner and edge-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 3–13°. In the twelfth O2- site, O2- is bonded to three Li1+, two equivalent 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 0–7°. In the thirteenth 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 OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 1–6°. In the fourteenth O2- site, O2- is bonded to four Li1+ and two equivalent 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 1–13°. 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 OLi4Mn2 octahedra and edges with twelve OLi5Co octahedra. The corner-sharing octahedra tilt angles range from 1–10°. In the sixteenth O2- site, O2- is bonded to three Li1+, two equivalent 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 1–6°.

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 LiO6 octahedra, corners with two equivalent MnO6 octahedra, corners with two CoO6 octahedra, edges with two equivalent CoO6 octahedra, edges with three MnO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–15°. There are a spread of Li–O bond distances ranging from 2.04–2.21 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, edges with four CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 1–8°. There are a spread of Li–O bond distances ranging from 2.05–2.34 Å. In the third 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 1–8°. There are a spread of Li–O bond distances ranging from 2.02–2.35 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, edges with six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 1–11°. There are a spread of Li–O bond distances ranging from 2.05–2.42 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one MnO6 octahedra, corners with four CoO6 octahedra, edges with six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 4–10°. There are a spread of Li–O bond distances ranging from 2.02–2.36 Å. In the sixth 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 three MnO6 octahedra, edges with three CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–12°. There are a spread of Li–O bond distances ranging from 2.07–2.21 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, 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 6–10°. There are a spread of Li–O bond distances ranging from 2.06–2.17 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, 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 7–14°. 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, edges with two MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–15°. There are a spread of Li–O bond distances ranging from 2.04–2.23 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 three CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–12°. There are a spread of Mn–O bond distances ranging from 1.90–2.00 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 6–10°. There are a spread of Mn–O bond distances ranging from 1.89–2.02 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, edges with five CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 1–11°. There are a spread of Co–O bond distances ranging from 1.93–2.24 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 MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–10°. There are a spread of Co–O bond distances ranging from 1.90–2.15 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 1–10°. There are a spread of Co–O bond distances ranging from 1.94–2.26 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, edges with two MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–12°. There are a spread of Co–O bond distances ranging from 1.90–2.23 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, edges with two MnO6 octahedra, edges with two CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 1–14°. There are a spread of Co–O bond distances ranging from 1.90–2.20 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 OLi4Co2 octahedra and edges with twelve OLi4MnCo octahedra. The corner-sharing octahedra tilt angles range from 3–6°. In the second 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 OLi3Co3 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 2–14°. In the third 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 OLi4Co2 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 2–14°. 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 OLi4MnCo octahedra. The corner-sharing octahedra tilt angles range from 1–6°. In the fifth O2- site, O2- is bonded to four Li1+ and two Co+2.80+ atoms to form OLi4Co2 octahedra that share corners with six OLi4Co2 octahedra and edges with twelve OLi4MnCo 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 OLi3Co3 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 1–10°. 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 OLi4Co2 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 1–10°. In the eighth 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 OLi3Co3 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 3–7°. In the ninth 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 OLi4MnCo octahedra. The corner-sharing octahedra tilt angles range from 3–6°. In the tenth 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 OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 2–10°. In the eleventh 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 OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 2–10°. In the twelfth 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 OLi4MnCo octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 2–9°. In the thirteenth O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 3–9°. In the fourteenth 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 1–14°. In the fifteenth O2- site, O2- is bonded to four Li1+ and two Mn+4.50+ atoms to form a mixture of edge and corner-sharing OLi4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 1–14°. In the sixteenth 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 1–6°.

36 MATERIALS SCIENCE↗

Materials Data on Li9Mn2Co5O16 by Materials Project

Li9Mn2Co5O16 is beta Polonium-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 MnO6 octahedra, corners with two equivalent LiO6 octahedra, corners with three 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 6–9°. There are a spread of Li–O bond distances ranging from 2.06–2.14 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, edges with two MnO6 octahedra, edges with three CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–10°. There are a spread of Li–O bond distances ranging from 2.03–2.24 Å. In the third 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, 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 3–9°. There are a spread of Li–O bond distances ranging from 2.04–2.27 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 two equivalent LiO6 octahedra, corners with three 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 6–9°. There are a spread of Li–O bond distances ranging from 2.08–2.15 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with two equivalent MnO6 octahedra, corners with three 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 2–10°. There are a spread of Li–O bond distances ranging from 2.02–2.20 Å. In the sixth 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, 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 3–8°. There are a spread of Li–O bond distances ranging from 2.07–2.22 Å. In the seventh 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 two MnO6 octahedra, edges with three CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–10°. There are a spread of Li–O bond distances ranging from 2.05–2.21 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with two equivalent MnO6 octahedra, corners with three 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 3–9°. There are a spread of Li–O bond distances ranging from 2.02–2.21 Å. In the ninth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, 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 8–10°. There are a spread of Li–O bond distances ranging from 2.05–2.11 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 two equivalent CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–7°. There are a spread of Mn–O bond distances ranging from 1.92–1.98 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 two equivalent CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–10°. There are a spread of Mn–O bond distances ranging from 1.90–2.04 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 six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 3–8°. There are a spread of Co–O bond distances ranging from 1.94–2.08 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 MnO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–9°. There are a spread of Co–O bond distances ranging from 1.95–2.01 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 six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 2–7°. There are a spread of Co–O bond distances ranging from 1.93–2.08 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, edges with six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 3–6°. There are a spread of Co–O bond distances ranging from 1.92–2.15 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 six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 3–8°. There are a spread of Co–O bond distances ranging from 1.92–2.08 Å. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded to four Li1+ and two Mn+4.50+ atoms to form OLi4Mn2 octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 1–9°. In the second 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 OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. 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 OLi3Mn2Co octahedra and edges with twelve OLi4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 2–4°. 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 0–5°. In the fifth 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 OLi3Co3 octahedra and edges with twelve OLi4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 1–6°. 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 OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. 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 OLi3Mn2Co octahedra and edges with twelve OLi4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 2–6°. In the eighth 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 0–4°. In the ninth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form OLi3Co3 octahedra that share corners with six OLi4Mn2 octahedra and edges with twelve OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. In the tenth 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 OLi3Co3 octahedra and edges with twelve OLi4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 1–4°. In the eleventh 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 OLi4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the twelfth 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 OLi4Mn2 octahedra and edges with twelve OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–6°. In the thirteenth 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 0–6°. In the fourteenth 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 OLi3Co3 octahedra and edges with twelve OLi4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 2–6°. 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 OLi3Co3 octahedra and edges with twelve OLi4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. In the sixteenth O2- site, O2- is bonded to four Li1+ and two Mn+4.50+ atoms to form a mixture of edge and corner-sharing OLi4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 1–9°.

36 MATERIALS SCIENCE↗

Materials Data on Li9Mn2Co5O16 by Materials Project

Li9Mn2Co5O16 is Caswellsilverite-derived structured and crystallizes in the monoclinic Cm 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, edges with three equivalent MnO6 octahedra, edges with three equivalent CoO6 octahedra, and edges with six equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–10°. There are a spread of Li–O bond distances ranging from 2.06–2.21 Å. In the second 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 three equivalent CoO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–8°. There are a spread of Li–O bond distances ranging from 2.04–2.27 Å. In the third 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 three equivalent CoO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–14°. There are a spread of Li–O bond distances ranging from 2.03–2.40 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six CoO6 octahedra, edges with six equivalent LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 4–9°. There are a spread of Li–O bond distances ranging from 2.11–2.22 Å. In the fifth 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, edges with three equivalent MnO6 octahedra, edges with three equivalent CoO6 octahedra, and edges with six equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–9°. There are a spread of Li–O bond distances ranging from 2.09–2.21 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, edges with three equivalent MnO6 octahedra, edges with three equivalent CoO6 octahedra, and edges with six equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–9°. There are a spread of Li–O bond distances ranging from 2.12–2.20 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six CoO6 octahedra, edges with six equivalent LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 4–9°. There are a spread of Li–O bond distances ranging from 2.11–2.25 Å. In the eighth 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, edges with three equivalent MnO6 octahedra, edges with three equivalent CoO6 octahedra, and edges with six equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–9°. There are a spread of Li–O bond distances ranging from 2.08–2.20 Å. In the ninth Li1+ site, Li1+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–4°. There are a spread of Li–O bond distances ranging from 2.09–2.16 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 six LiO6 octahedra, and edges with six equivalent MnO6 octahedra. The corner-sharing octahedra tilt angles range from 7–10°. There are a spread of Mn–O bond distances ranging from 1.95–2.19 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 six LiO6 octahedra, and edges with six equivalent MnO6 octahedra. The corner-sharing octahedra tilt angles range from 7–9°. There are a spread of Mn–O bond distances ranging from 1.96–2.21 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 six LiO6 octahedra, and edges with six equivalent CoO6 octahedra. The corner-sharing octahedra tilt angles range from 2–8°. There are a spread of Co–O bond distances ranging from 1.97–2.09 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 equivalent CoO6 octahedra. The corner-sharing octahedra tilt angles range from 7–14°. There are a spread of Co–O bond distances ranging from 1.93–1.98 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 six LiO6 octahedra, and edges with six equivalent CoO6 octahedra. The corner-sharing octahedra tilt angles range from 3–4°. There are a spread of Co–O bond distances ranging from 2.01–2.07 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, edges with six LiO6 octahedra, and edges with six equivalent CoO6 octahedra. The corner-sharing octahedra tilt angles range from 7–9°. There are a spread of Co–O bond distances ranging from 1.95–1.98 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 six LiO6 octahedra, and edges with six equivalent CoO6 octahedra. The corner-sharing octahedra tilt angles range from 2–4°. There are a spread of Co–O bond distances ranging from 2.02–2.08 Å. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded to three equivalent Li1+ and three equivalent Mn+4.50+ atoms to form OLi3Mn3 octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi3Mn3 octahedra. The corner-sharing octahedra tilt angles range from 0–5°. In the second O2- site, O2- is bonded to three equivalent Li1+ and three equivalent Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 2–6°. In the third O2- site, O2- is bonded to six Li1+ atoms to form a mixture of edge and corner-sharing OLi6 octahedra. The corner-sharing octahedra tilt angles range from 1–10°. In the fourth O2- site, O2- is bonded to three equivalent Li1+ and three equivalent Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. In the fifth O2- site, O2- is bonded to three equivalent Li1+ and three equivalent Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the sixth O2- site, O2- is bonded to three equivalent Li1+ and three equivalent Mn+4.50+ atoms to form OLi3Mn3 octahedra that share corners with six OLi3Mn3 octahedra and edges with twelve OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the seventh O2- site, O2- is bonded to three equivalent Li1+ and three equivalent Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. In the eighth O2- site, O2- is bonded to three equivalent Li1+ and three equivalent Co+2.80+ atoms to form OLi3Co3 octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi3Mn3 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the ninth O2- site, O2- is bonded to three equivalent Li1+ and three equivalent Co+2.80+ atoms to form OLi3Co3 octahedra that share corners with six OLi3Mn3 octahedra and edges with twelve OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 2–5°. In the tenth O2- site, O2- is bonded to six Li1+ atoms to form OLi6 octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi6 octahedra. The corner-sharing octahedra tilt angles range from 1–6°. In the eleventh O2- site, O2- is bonded to three equivalent Li1+ and three equivalent Co+2.80+ atoms to form distorted OLi3Co3 octahedra that share corners with six OLi6 octahedra and edges with twelve OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–10°. In the twelfth O2- site, O2- is bonded to three equivalent Li1+ and three equivalent Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. In the thirteenth O2- site, O2- is bonded to three equivalent Li1+ and three equivalent Mn+4.50+ atoms to form OLi3Mn3 octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi3Mn3 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the fourteenth O2- site, O2- is bonded to three equivalent Li1+ and three equivalent Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the fifteenth O2- site, O2- is bonded to three equivalent Li1+ and three equivalent Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. In the sixteenth O2- site, O2- is bonded to three equivalent Li1+ and three equivalent Mn+4.50+ atoms to form a mixture of edge and corner-sharing OLi3Mn3 octahedra. The corner-sharing octahedra tilt angles range from 0–4°.

36 MATERIALS SCIENCE↗

Materials Data on Li3Ni3(PO4)4 by Materials Project

Li3Ni3(PO4)4 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 five O2- atoms to form distorted LiO5 trigonal bipyramids that share a cornercorner with one NiO6 octahedra, corners with three PO4 tetrahedra, an edgeedge with one NiO6 octahedra, an edgeedge with one PO4 tetrahedra, and an edgeedge with one NiO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 58°. There are a spread of Li–O bond distances ranging from 1.93–2.16 Å. In the second Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share a cornercorner with one NiO6 octahedra, corners with three PO4 tetrahedra, an edgeedge with one NiO6 octahedra, an edgeedge with one PO4 tetrahedra, and an edgeedge with one NiO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 57°. There are a spread of Li–O bond distances ranging from 1.93–2.14 Å. In the third Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share a cornercorner with one NiO6 octahedra, corners with three PO4 tetrahedra, an edgeedge with one NiO6 octahedra, an edgeedge with one PO4 tetrahedra, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 53°. There are a spread of Li–O bond distances ranging from 1.89–2.15 Å. In the fourth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share a cornercorner with one NiO6 octahedra, corners with three PO4 tetrahedra, an edgeedge with one NiO6 octahedra, an edgeedge with one PO4 tetrahedra, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 57°. There are a spread of Li–O bond distances ranging from 1.91–2.22 Å. In the fifth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share a cornercorner with one NiO6 octahedra, corners with three PO4 tetrahedra, an edgeedge with one NiO6 octahedra, an edgeedge with one PO4 tetrahedra, and an edgeedge with one NiO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 57°. There are a spread of Li–O bond distances ranging from 1.92–2.12 Å. In the sixth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share a cornercorner with one NiO6 octahedra, corners with three PO4 tetrahedra, an edgeedge with one NiO6 octahedra, an edgeedge with one PO4 tetrahedra, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 57°. There are a spread of Li–O bond distances ranging from 1.91–2.20 Å. In the seventh Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share a cornercorner with one NiO6 octahedra, corners with three PO4 tetrahedra, an edgeedge with one NiO6 octahedra, an edgeedge with one PO4 tetrahedra, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 53°. There are a spread of Li–O bond distances ranging from 1.90–2.17 Å. In the eighth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share a cornercorner with one NiO6 octahedra, corners with three PO4 tetrahedra, an edgeedge with one NiO6 octahedra, an edgeedge with one PO4 tetrahedra, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 54°. There are a spread of Li–O bond distances ranging from 1.90–2.22 Å. In the ninth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share a cornercorner with one NiO6 octahedra, corners with three PO4 tetrahedra, an edgeedge with one NiO6 octahedra, an edgeedge with one PO4 tetrahedra, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 56°. There are a spread of Li–O bond distances ranging from 1.92–2.22 Å. There are nine inequivalent Ni3+ sites. In the first Ni3+ site, Ni3+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six PO4 tetrahedra, corners with two LiO5 trigonal bipyramids, an edgeedge with one LiO5 trigonal bipyramid, and an edgeedge with one NiO5 trigonal bipyramid. There are a spread of Ni–O bond distances ranging from 2.03–2.12 Å. In the second Ni3+ site, Ni3+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six PO4 tetrahedra, corners with two LiO5 trigonal bipyramids, an edgeedge with one LiO5 trigonal bipyramid, and an edgeedge with one NiO5 trigonal bipyramid. There are a spread of Ni–O bond distances ranging from 2.02–2.13 Å. In the third Ni3+ site, Ni3+ is bonded to five O2- atoms to form NiO5 trigonal bipyramids that share a cornercorner with one NiO6 octahedra, corners with three PO4 tetrahedra, an edgeedge with one NiO6 octahedra, an edgeedge with one PO4 tetrahedra, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 52°. There are a spread of Ni–O bond distances ranging from 1.90–2.02 Å. In the fourth Ni3+ site, Ni3+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six PO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, a cornercorner with one NiO5 trigonal bipyramid, and edges with two LiO5 trigonal bipyramids. There are a spread of Ni–O bond distances ranging from 2.03–2.19 Å. In the fifth Ni3+ site, Ni3+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six PO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, a cornercorner with one NiO5 trigonal bipyramid, and edges with two LiO5 trigonal bipyramids. There are a spread of Ni–O bond distances ranging from 2.02–2.22 Å. In the sixth Ni3+ site, Ni3+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six PO4 tetrahedra, corners with two LiO5 trigonal bipyramids, an edgeedge with one LiO5 trigonal bipyramid, and an edgeedge with one NiO5 trigonal bipyramid. There are a spread of Ni–O bond distances ranging from 2.00–2.14 Å. In the seventh Ni3+ site, Ni3+ is bonded to five O2- atoms to form NiO5 trigonal bipyramids that share a cornercorner with one NiO6 octahedra, corners with three PO4 tetrahedra, an edgeedge with one NiO6 octahedra, an edgeedge with one PO4 tetrahedra, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 53°. There are a spread of Ni–O bond distances ranging from 1.90–2.02 Å. In the eighth Ni3+ site, Ni3+ is bonded to five O2- atoms to form NiO5 trigonal bipyramids that share a cornercorner with one NiO6 octahedra, corners with three PO4 tetrahedra, an edgeedge with one NiO6 octahedra, an edgeedge with one PO4 tetrahedra, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 53°. There are a spread of Ni–O bond distances ranging from 1.90–2.02 Å. In the ninth Ni3+ site, Ni3+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six PO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, a cornercorner with one NiO5 trigonal bipyramid, and edges with two LiO5 trigonal bipyramids. There are a spread of Ni–O bond distances ranging from 2.02–2.22 Å. There are twelve inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three NiO6 octahedra, corners with three LiO5 trigonal bipyramids, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 37–52°. There is one shorter (1.53 Å) and three longer (1.55 Å) P–O bond length. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three NiO6 octahedra, a cornercorner with one NiO5 trigonal bipyramid, corners with two LiO5 trigonal bipyramids, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 37–51°. All P–O bond lengths are 1.55 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three NiO6 octahedra, a cornercorner with one NiO5 trigonal bipyramid, corners with two LiO5 trigonal bipyramids, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 35–53°. There are a spread of P–O bond distances ranging from 1.54–1.56 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three NiO6 octahedra, corners with three LiO5 trigonal bipyramids, and an edgeedge with one NiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 37–54°. There are a spread of P–O bond distances ranging from 1.50–1.60 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three NiO6 octahedra, corners with three LiO5 trigonal bipyramids, and an edgeedge with one NiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 38–53°. There are a spread of P–O bond distances ranging from 1.50–1.60 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three NiO6 octahedra, a cornercorner with one NiO5 trigonal bipyramid, corners with two LiO5 trigonal bipyramids, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 35–54°. There are a spread of P–O bond distances ranging from 1.54–1.56 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three NiO6 octahedra, a cornercorner with one NiO5 trigonal bipyramid, corners with two LiO5 trigonal bipyramids, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 36–51°. All P–O bond lengths are 1.55 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three NiO6 octahedra, a cornercorner with one NiO5 trigonal bipyramid, corners with two LiO5 trigonal bipyramids, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 34–54°. There are a spread of P–O bond distances ranging from 1.54–1.56 Å. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three NiO6 octahedra, a cornercorner with one NiO5 trigonal bipyramid, corners with two LiO5 trigonal bipyramids, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 38–55°. There are a spread of P–O bond distances ranging from 1.53–1.57 Å. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three NiO6 octahedra, a cornercorner with one LiO5 trigonal bipyramid, corners with two NiO5 trigonal bipyramids, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 36–53°. There are a spread of P–O bond distances ranging from 1.54–1.56 Å. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three NiO6 octahedra, corners with three LiO5 trigonal bipyramids, and an edgeedge with one NiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 38–55°. There are a spread of P–O bond distances ranging from 1.50–1.60 Å. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three NiO6 octahedra, a cornercorner with one NiO5 trigonal bipyramid, corners with two LiO5 trigonal bipyramids, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 37–54°. There are a spread of P–O bond distances ranging from 1.53–1.57 Å. There are forty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal p

36 MATERIALS SCIENCE↗

Materials Data on Ca17(Y7S19)2 by Materials Project

Ca17(Y7S19)2 crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are seventeen inequivalent Ca2+ sites. In the first Ca2+ site, Ca2+ is bonded to six S2- atoms to form CaS6 octahedra that share corners with three CaS6 octahedra, edges with two equivalent YS6 octahedra, and edges with seven CaS6 octahedra. The corner-sharing octahedra tilt angles range from 1–5°. There are a spread of Ca–S bond distances ranging from 2.79–2.88 Å. In the second Ca2+ site, Ca2+ is bonded to six S2- atoms to form CaS6 octahedra that share corners with five YS6 octahedra, edges with four CaS6 octahedra, and edges with eight YS6 octahedra. The corner-sharing octahedra tilt angles range from 1–6°. There are a spread of Ca–S bond distances ranging from 2.75–2.87 Å. In the third Ca2+ site, Ca2+ is bonded to six S2- atoms to form CaS6 octahedra that share a cornercorner with one CaS6 octahedra, corners with five YS6 octahedra, edges with four CaS6 octahedra, and edges with eight YS6 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. There are a spread of Ca–S bond distances ranging from 2.82–2.88 Å. In the fourth Ca2+ site, Ca2+ is bonded to six S2- atoms to form CaS6 octahedra that share a cornercorner with one CaS6 octahedra, corners with five YS6 octahedra, edges with four CaS6 octahedra, and edges with eight YS6 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Ca–S bond distances ranging from 2.82–2.86 Å. In the fifth Ca2+ site, Ca2+ is bonded to six S2- atoms to form CaS6 octahedra that share corners with six YS6 octahedra, edges with six CaS6 octahedra, and edges with six YS6 octahedra. The corner-sharing octahedra tilt angles range from 1–2°. There are a spread of Ca–S bond distances ranging from 2.84–2.87 Å. In the sixth Ca2+ site, Ca2+ is bonded to six S2- atoms to form CaS6 octahedra that share a cornercorner with one CaS6 octahedra, corners with five YS6 octahedra, edges with six CaS6 octahedra, and edges with six YS6 octahedra. The corner-sharing octahedra tilt angles range from 1–3°. There are a spread of Ca–S bond distances ranging from 2.83–2.85 Å. In the seventh Ca2+ site, Ca2+ is bonded to six S2- atoms to form CaS6 octahedra that share corners with six CaS6 octahedra, edges with two equivalent YS6 octahedra, and edges with ten CaS6 octahedra. The corner-sharing octahedra tilt angles range from 2–5°. There are a spread of Ca–S bond distances ranging from 2.74–2.89 Å. In the eighth Ca2+ site, Ca2+ is bonded to six S2- atoms to form CaS6 octahedra that share corners with three CaS6 octahedra, corners with three YS6 octahedra, edges with three equivalent YS6 octahedra, and edges with nine CaS6 octahedra. The corner-sharing octahedra tilt angles range from 1–5°. There are a spread of Ca–S bond distances ranging from 2.76–2.87 Å. In the ninth Ca2+ site, Ca2+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing CaS6 octahedra. The corner-sharing octahedra tilt angles range from 1–4°. There are a spread of Ca–S bond distances ranging from 2.73–2.93 Å. In the tenth Ca2+ site, Ca2+ is bonded to six S2- atoms to form CaS6 octahedra that share a cornercorner with one YS6 octahedra, corners with five CaS6 octahedra, and edges with twelve CaS6 octahedra. The corner-sharing octahedra tilt angles range from 1–4°. There are a spread of Ca–S bond distances ranging from 2.73–2.97 Å. In the eleventh Ca2+ site, Ca2+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing CaS6 octahedra. The corner-sharing octahedra tilt angles range from 2–4°. There are a spread of Ca–S bond distances ranging from 2.74–2.93 Å. In the twelfth Ca2+ site, Ca2+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing CaS6 octahedra. The corner-sharing octahedra tilt angles range from 2–4°. There are a spread of Ca–S bond distances ranging from 2.73–2.93 Å. In the thirteenth Ca2+ site, Ca2+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing CaS6 octahedra. The corner-sharing octahedra tilt angles range from 2–4°. There are a spread of Ca–S bond distances ranging from 2.76–2.93 Å. In the fourteenth Ca2+ site, Ca2+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing CaS6 octahedra. The corner-sharing octahedra tilt angles range from 1–4°. There are a spread of Ca–S bond distances ranging from 2.74–2.93 Å. In the fifteenth Ca2+ site, Ca2+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing CaS6 octahedra. The corner-sharing octahedra tilt angles range from 1–3°. There are a spread of Ca–S bond distances ranging from 2.74–2.91 Å. In the sixteenth Ca2+ site, Ca2+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing CaS6 octahedra. The corner-sharing octahedra tilt angles range from 1–4°. There are a spread of Ca–S bond distances ranging from 2.77–2.92 Å. In the seventeenth Ca2+ site, Ca2+ is bonded to six S2- atoms to form CaS6 octahedra that share a cornercorner with one YS6 octahedra, corners with five CaS6 octahedra, and edges with ten CaS6 octahedra. The corner-sharing octahedra tilt angles range from 2–5°. There are a spread of Ca–S bond distances ranging from 2.79–2.95 Å. There are fourteen inequivalent Y3+ sites. In the first Y3+ site, Y3+ is bonded to six S2- atoms to form YS6 octahedra that share a cornercorner with one CaS6 octahedra, edges with two equivalent CaS6 octahedra, and edges with four YS6 octahedra. The corner-sharing octahedral tilt angles are 4°. There are a spread of Y–S bond distances ranging from 2.70–2.75 Å. In the second Y3+ site, Y3+ is bonded to six S2- atoms to form edge-sharing YS6 octahedra. There are a spread of Y–S bond distances ranging from 2.71–2.73 Å. In the third Y3+ site, Y3+ is bonded to six S2- atoms to form edge-sharing YS6 octahedra. There are a spread of Y–S bond distances ranging from 2.71–2.73 Å. In the fourth Y3+ site, Y3+ is bonded to six S2- atoms to form edge-sharing YS6 octahedra. There are five shorter (2.72 Å) and one longer (2.73 Å) Y–S bond lengths. In the fifth Y3+ site, Y3+ is bonded to six S2- atoms to form edge-sharing YS6 octahedra. There are a spread of Y–S bond distances ranging from 2.72–2.74 Å. In the sixth Y3+ site, Y3+ is bonded to six S2- atoms to form distorted YS6 octahedra that share corners with three YS6 octahedra, edges with two equivalent CaS6 octahedra, and edges with seven YS6 octahedra. The corner-sharing octahedra tilt angles range from 1–11°. There are a spread of Y–S bond distances ranging from 2.43–3.15 Å. In the seventh Y3+ site, Y3+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing YS6 octahedra. The corner-sharing octahedral tilt angles are 9°. There are a spread of Y–S bond distances ranging from 2.61–3.12 Å. In the eighth Y3+ site, Y3+ is bonded to six S2- atoms to form YS6 octahedra that share corners with three CaS6 octahedra, corners with three YS6 octahedra, edges with three equivalent CaS6 octahedra, and edges with seven YS6 octahedra. The corner-sharing octahedra tilt angles range from 3–11°. There are a spread of Y–S bond distances ranging from 2.58–2.92 Å. In the ninth Y3+ site, Y3+ is bonded to six S2- atoms to form YS6 octahedra that share corners with two YS6 octahedra, corners with four CaS6 octahedra, edges with six CaS6 octahedra, and edges with six YS6 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. There are a spread of Y–S bond distances ranging from 2.76–2.82 Å. In the tenth Y3+ site, Y3+ is bonded to six S2- atoms to form YS6 octahedra that share corners with three CaS6 octahedra, corners with three YS6 octahedra, edges with five CaS6 octahedra, and edges with seven YS6 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Y–S bond distances ranging from 2.79–2.84 Å. In the eleventh Y3+ site, Y3+ is bonded to six S2- atoms to form YS6 octahedra that share corners with three CaS6 octahedra, corners with three YS6 octahedra, edges with five CaS6 octahedra, and edges with seven YS6 octahedra. The corner-sharing octahedral tilt angles are 1°. There are two shorter (2.82 Å) and four longer (2.83 Å) Y–S bond lengths. In the twelfth Y3+ site, Y3+ is bonded to six S2- atoms to form YS6 octahedra that share a cornercorner with one YS6 octahedra, corners with five CaS6 octahedra, edges with six CaS6 octahedra, and edges with six YS6 octahedra. The corner-sharing octahedral tilt angles are 1°. There are a spread of Y–S bond distances ranging from 2.80–2.82 Å. In the thirteenth Y3+ site, Y3+ is bonded to six S2- atoms to form YS6 octahedra that share corners with six CaS6 octahedra, edges with four YS6 octahedra, and edges with eight CaS6 octahedra. The corner-sharing octahedral tilt angles are 1°. There are a spread of Y–S bond distances ranging from 2.77–2.81 Å. In the fourteenth Y3+ site, Y3+ is bonded to six S2- atoms to form YS6 octahedra that share corners with six CaS6 octahedra, edges with six CaS6 octahedra, and edges with six YS6 octahedra. The corner-sharing octahedra tilt angles range from 1–2°. There are three shorter (2.81 Å) and three longer (2.82 Å) Y–S bond lengths. There are thirty-eight inequivalent S2- sites. In the first S2- site, S2- is bonded in a rectangular see-saw-like geometry to three Ca2+ and one Y3+ atom. In the second S2- site, S2- is bonded in a distorted T-shaped geometry to three Y3+ atoms. In the third S2- site, S2- is bonded in a distorted T-shaped geometry to one Ca2+ and two equivalent Y3+ atoms. In the fourth S2- site, S2- is bonded in a distorted T-shaped geometry to three Y3+ atoms. In the fifth S2- site, S2- is bonded in a distorted T-shaped geometry to three Y3+ atoms. In the sixth S2- site, S2- is bonded in a distorted T-shaped geometry to three Y3+ atoms. In the seventh S2- site, S2- is bonded in a distorted T-shaped geometry to three Y3+ atoms. In the eighth S2- site, S2- is bonded in a distorted T-shaped geometry to three Y3+ atoms. In the ninth S2- site, S2- is bonded in a distorted T-shaped geometry to three Y3+ atoms. In the tenth S2- site, S2- is bonded in a distorted T-shaped geometry to three Y3+ atoms. In the eleventh S2- site, S2- is bonded in a distorted T-shaped geometry to three Y3+ atoms. In the twelfth S2- site, S2- is bonded in a 3-coordinate geometry to three Y3+ atoms. In the thirteenth S2- site, S2- is bonded in a distorted T-shaped geometry to three Y3+ atoms. In the fourteenth S2- site, S2- is bonded to one Ca2+ and four Y3+ atoms to form SCaY4 square pyramids that share corners with three SCa3Y3 octahedra, edges with five SCa3Y3 octahedra, and edges with two equivalent SCaY4 square pyramids. The corner-sharing octahedra tilt angles range from 1–9°. In the fifteenth S2- site, S2- is bonded in a distorted see-saw-like geometry to four Y3+ atoms. In the sixteenth S2- site, S2- is bonded to three Ca2+ and three Y3+ atoms to form SCa3Y3 octahedra that share corners with five SCa3Y3 octahedra, edges with ten SCa3Y3 octahedra, and edges with two equivalent SCaY4 square pyramids. The corner-sharing octahedra tilt angles range from 1–3°. In the seventeenth S2- site, S2- is bonded to two equivalent Ca2+ and four Y3+ atoms to form SCa2Y4 octahedra that share corners with three SCa3Y3 octahedra, corners with two equivalent SCaY4 square pyramids, edges with seven SCa3Y3 octahedra, and edges with three equivalent SCaY4 square pyramids. The corner-sharing octahedral tilt angles are 1°. In the eighteenth S2- site, S2- is bonded to two equivalent Ca2+ and four Y3+ atoms to form a mixture of edge and corner-sharing SCa2Y4 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. In the nineteenth S2- site, S2- is bonded to three Ca2+ and three Y3+ atoms to form SCa3Y3 octahedra that share corners with five SCa2Y4 octahedra, a cornercorner with one SCaY4 square pyramid, and edges with twelve SCa3Y3 octahedra. The corner-sharing octahedra tilt angles range from 0–3°.

36 MATERIALS SCIENCE↗

Materials Data on BaMg2Al6(Si3O10)3 by Materials Project

BaMg2Al6Si9O30 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are two inequivalent Ba2+ sites. In the first Ba2+ site, Ba2+ is bonded in a 12-coordinate geometry to twelve O2- atoms. There are a spread of Ba–O bond distances ranging from 2.79–3.23 Å. In the second Ba2+ site, Ba2+ is bonded in a 12-coordinate geometry to twelve O2- atoms. There are a spread of Ba–O bond distances ranging from 2.92–3.26 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 six SiO4 tetrahedra and an edgeedge with one AlO4 tetrahedra. There are a spread of Mg–O bond distances ranging from 2.15–2.22 Å. In the second Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share a cornercorner with one AlO4 tetrahedra, corners with five SiO4 tetrahedra, and edges with two AlO4 tetrahedra. There are a spread of Mg–O bond distances ranging from 2.04–2.25 Å. In the third Mg2+ site, Mg2+ is bonded to six O2- atoms to form distorted MgO6 octahedra that share corners with three AlO4 tetrahedra, corners with three SiO4 tetrahedra, and an edgeedge with one AlO4 tetrahedra. There are a spread of Mg–O bond distances ranging from 2.05–2.35 Å. In the fourth Mg2+ site, Mg2+ is bonded to six O2- atoms to form distorted MgO6 octahedra that share corners with two AlO4 tetrahedra, corners with four SiO4 tetrahedra, and edges with two AlO4 tetrahedra. There are a spread of Mg–O bond distances ranging from 2.01–2.27 Å. There are twelve inequivalent Al3+ sites. In the first Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share a cornercorner with one MgO6 octahedra, a cornercorner with one AlO4 tetrahedra, and corners with three SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 45°. There are a spread of Al–O bond distances ranging from 1.74–1.77 Å. In the second Al3+ site, Al3+ is bonded to four O2- atoms to form distorted AlO4 tetrahedra that share corners with two AlO4 tetrahedra, corners with two SiO4 tetrahedra, and edges with two MgO6 octahedra. There are a spread of Al–O bond distances ranging from 1.74–1.80 Å. In the third Al3+ site, Al3+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Al–O bond distances ranging from 1.76–1.81 Å. In the fourth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share a cornercorner with one MgO6 octahedra and corners with three SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 48°. There are a spread of Al–O bond distances ranging from 1.72–1.77 Å. In the fifth Al3+ site, Al3+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Al–O bond distances ranging from 1.74–1.82 Å. In the sixth Al3+ site, Al3+ is bonded to four O2- atoms to form distorted AlO4 tetrahedra that share corners with four SiO4 tetrahedra and edges with two MgO6 octahedra. There is two shorter (1.78 Å) and two longer (1.79 Å) Al–O bond length. In the seventh Al3+ site, Al3+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There is two shorter (1.78 Å) and two longer (1.80 Å) Al–O bond length. In the eighth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share a cornercorner with one MgO6 octahedra, a cornercorner with one AlO4 tetrahedra, and corners with three SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 43°. There are a spread of Al–O bond distances ranging from 1.70–1.76 Å. In the ninth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share a cornercorner with one MgO6 octahedra and corners with three SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 48°. There are a spread of Al–O bond distances ranging from 1.72–1.76 Å. In the tenth Al3+ site, Al3+ is bonded to four O2- atoms to form distorted AlO4 tetrahedra that share corners with two AlO4 tetrahedra, corners with two SiO4 tetrahedra, and edges with two MgO6 octahedra. There are a spread of Al–O bond distances ranging from 1.74–1.81 Å. In the eleventh Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share a cornercorner with one MgO6 octahedra, corners with two AlO4 tetrahedra, and corners with two SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 48°. There are a spread of Al–O bond distances ranging from 1.68–1.79 Å. In the twelfth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share a cornercorner with one MgO6 octahedra, corners with two AlO4 tetrahedra, and corners with two SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 44°. There are a spread of Al–O bond distances ranging from 1.68–1.79 Å. There are eighteen inequivalent Si4+ sites. In the first Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one MgO6 octahedra, corners with two AlO4 tetrahedra, and corners with two SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 43°. There are a spread of Si–O bond distances ranging from 1.58–1.67 Å. In the second Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one MgO6 octahedra, a cornercorner with one SiO4 tetrahedra, and corners with two AlO4 tetrahedra. The corner-sharing octahedral tilt angles are 46°. There are a spread of Si–O bond distances ranging from 1.61–1.66 Å. In the third Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one MgO6 octahedra and corners with three SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 43°. There are a spread of Si–O bond distances ranging from 1.63–1.65 Å. In the fourth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one MgO6 octahedra, corners with two AlO4 tetrahedra, and corners with two SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 43°. There are a spread of Si–O bond distances ranging from 1.62–1.65 Å. In the fifth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one MgO6 octahedra, corners with two AlO4 tetrahedra, and corners with two SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 44°. There are a spread of Si–O bond distances ranging from 1.61–1.66 Å. In the sixth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one MgO6 octahedra, a cornercorner with one AlO4 tetrahedra, and corners with two SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 46°. There are a spread of Si–O bond distances ranging from 1.61–1.66 Å. In the seventh Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one MgO6 octahedra, corners with two AlO4 tetrahedra, and corners with two SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 45°. There are a spread of Si–O bond distances ranging from 1.61–1.65 Å. In the eighth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one MgO6 octahedra, a cornercorner with one AlO4 tetrahedra, and corners with two SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 46°. There are a spread of Si–O bond distances ranging from 1.62–1.65 Å. In the ninth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one MgO6 octahedra, a cornercorner with one AlO4 tetrahedra, and corners with two SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 42°. There are a spread of Si–O bond distances ranging from 1.61–1.65 Å. In the tenth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one MgO6 octahedra, corners with two AlO4 tetrahedra, and corners with two SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 44°. There are a spread of Si–O bond distances ranging from 1.59–1.66 Å. In the eleventh Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one MgO6 octahedra, a cornercorner with one AlO4 tetrahedra, and corners with two SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 44°. There are a spread of Si–O bond distances ranging from 1.61–1.65 Å. In the twelfth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one MgO6 octahedra, corners with two AlO4 tetrahedra, and corners with two SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 48°. There are a spread of Si–O bond distances ranging from 1.61–1.66 Å. In the thirteenth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one MgO6 octahedra and corners with three SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 47°. There are a spread of Si–O bond distances ranging from 1.61–1.66 Å. In the fourteenth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one MgO6 octahedra, a cornercorner with one AlO4 tetrahedra, and corners with two SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 45°. There are a spread of Si–O bond distances ranging from 1.61–1.64 Å. In the fifteenth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one MgO6 octahedra, corners with two AlO4 tetrahedra, and corners with two SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 44°. There are a spread of Si–O bond distances ranging from 1.61–1.65 Å. In the sixteenth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one MgO6 octahedra and corners with three SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 44°. There are a spread of Si–O bond distances ranging from 1.61–1.64 Å. In the seventeenth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one MgO6 octahedra, corners with two AlO4 tetrahedra, and corners with two SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 43°. There are a spread of Si–O bond distances ranging from 1.58–1.66 Å. In the eighteenth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one MgO6 octahedra, a cornercorner with one AlO4 tetrahedra, and corners with two SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 48°. There are a spread of Si–O bond distances ranging from 1.58–1.66 Å. There are sixty inequivalent O2- sites. In the first O2- site, O2- is bonded in a bent 150 degrees geometry to one Ba2+, one Al3+, and one Si4+ atom. In the second O2- site, O2- is bonded in a bent 150 degrees geometry to one Ba2+ and two Si4+ atoms. In the third O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Ba2+, one Al3+, and one Si4+ atom. In the fourth O2- site, O2- is bonded in a bent 150 degrees geometry to one Ba2+ and two Si4+ atoms. In the fifth O2- site, O2- is bonded in a bent 150 degrees geometry to one Al3+ and one Si4+ atom. In the sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Mg2+, one Al3+, and one Si4+ atom. In the seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to one Mg2+ and two Al3+ atoms. In the eighth O2- site, O2- is bonded in a bent 150 degrees geometry to two Si4+ atoms. In the ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Mg2+, one Al3+, and one Si4+ atom. In the tenth O2- site, O2- is bonded in a 3-coordinate geometry to one Mg2+, one Al3+, and one Si4+ atom. In the eleventh O2- site, O2- is bonded in a bent 150 degrees geometry to two Si4+ atoms. In the twelfth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Mg2+, one Al3+, an

36 MATERIALS SCIENCE↗

Materials Data on Li20Co21O40 by Materials Project

Li20Co21O40 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twenty inequivalent Li sites. In the first Li site, Li is bonded to six O 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 6–8°. There are a spread of Li–O bond distances ranging from 2.11–2.15 Å. In the second Li site, Li is bonded to six O 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 6–10°. There are a spread of Li–O bond distances ranging from 1.97–2.15 Å. In the third Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with six CoO6 octahedra, edges with five LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 4–9°. There are a spread of Li–O bond distances ranging from 2.08–2.19 Å. In the fourth Li site, Li is bonded in a 3-coordinate geometry to five O atoms. There are a spread of Li–O bond distances ranging from 1.89–2.51 Å. In the fifth Li site, Li is bonded in a distorted trigonal non-coplanar geometry to five O atoms. There are a spread of Li–O bond distances ranging from 1.88–2.60 Å. In the sixth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with six CoO6 octahedra, edges with five LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 4–9°. There are a spread of Li–O bond distances ranging from 2.06–2.20 Å. In the seventh Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with six CoO6 octahedra, edges with five LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 4–11°. There are a spread of Li–O bond distances ranging from 1.98–2.19 Å. In the eighth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with six CoO6 octahedra, edges with five LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 5–9°. There are a spread of Li–O bond distances ranging from 2.07–2.20 Å. In the ninth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with six CoO6 octahedra, edges with five LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 5–10°. There are a spread of Li–O bond distances ranging from 2.05–2.19 Å. In the tenth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with six CoO6 octahedra, edges with five LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 5–11°. There are a spread of Li–O bond distances ranging from 2.00–2.21 Å. In the eleventh Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with six CoO6 octahedra, edges with five LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 4–10°. There are a spread of Li–O bond distances ranging from 2.06–2.19 Å. In the twelfth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with six CoO6 octahedra, edges with five LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 5–10°. There are a spread of Li–O bond distances ranging from 2.08–2.22 Å. In the thirteenth Li site, Li is bonded in a 3-coordinate geometry to five O atoms. There are a spread of Li–O bond distances ranging from 1.86–2.60 Å. In the fourteenth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with six CoO6 octahedra, edges with five LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 4–9°. There are a spread of Li–O bond distances ranging from 2.06–2.20 Å. In the fifteenth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with six CoO6 octahedra, edges with five LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 4–10°. There are a spread of Li–O bond distances ranging from 2.05–2.20 Å. In the sixteenth Li site, Li is bonded to six O 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 5–8°. There are a spread of Li–O bond distances ranging from 2.03–2.17 Å. In the seventeenth Li site, Li is bonded in a distorted trigonal non-coplanar geometry to six O atoms. There are a spread of Li–O bond distances ranging from 1.88–2.57 Å. In the eighteenth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with six CoO6 octahedra, edges with five LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 4–10°. There are a spread of Li–O bond distances ranging from 1.98–2.19 Å. In the nineteenth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with six CoO6 octahedra, edges with five LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 5–10°. There are a spread of Li–O bond distances ranging from 2.09–2.20 Å. In the twentieth Li site, Li is bonded to six O 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 5–8°. There are a spread of Li–O bond distances ranging from 2.12–2.16 Å. There are twenty-one inequivalent Co sites. In the first Co site, Co is bonded to six O atoms to form CoO6 octahedra that share corners with five LiO6 octahedra, a cornercorner with one CoO4 tetrahedra, edges with four LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 5–9°. There is four shorter (1.95 Å) and two longer (1.96 Å) Co–O bond length. In the second Co site, Co is bonded to six O atoms to form CoO6 octahedra that share corners with five LiO6 octahedra, a cornercorner with one CoO4 tetrahedra, edges with four LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 5–9°. There are a spread of Co–O bond distances ranging from 1.93–1.96 Å. In the third Co site, Co is bonded to six O atoms to form CoO6 octahedra that share corners with five LiO6 octahedra, edges with six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 4–9°. There are a spread of Co–O bond distances ranging from 1.93–1.96 Å. In the fourth Co site, Co is bonded to six O atoms to form CoO6 octahedra that share corners with five LiO6 octahedra, a cornercorner with one CoO4 tetrahedra, edges with four LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 4–8°. There are a spread of Co–O bond distances ranging from 1.93–1.96 Å. In the fifth Co site, Co is bonded to six O atoms to form CoO6 octahedra that share corners with five LiO6 octahedra, edges with six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 4–10°. There are a spread of Co–O bond distances ranging from 1.94–1.96 Å. In the sixth Co site, Co is bonded to six O atoms to form CoO6 octahedra that share corners with five LiO6 octahedra, a cornercorner with one CoO4 tetrahedra, edges with four LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 6–10°. There are a spread of Co–O bond distances ranging from 1.94–1.97 Å. In the seventh Co site, Co is bonded to six O atoms to form CoO6 octahedra that share corners with four LiO6 octahedra, a cornercorner with one CoO4 tetrahedra, edges with four LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 5–8°. There are a spread of Co–O bond distances ranging from 1.93–1.96 Å. In the eighth Co site, Co is bonded to six O atoms to form CoO6 octahedra that share corners with four LiO6 octahedra, a cornercorner with one CoO4 tetrahedra, edges with four LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 6–10°. There are a spread of Co–O bond distances ranging from 2.06–2.10 Å. In the ninth Co site, Co is bonded to six O atoms to form CoO6 octahedra that share corners with four LiO6 octahedra, a cornercorner with one CoO4 tetrahedra, edges with four LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 5–9°. There are a spread of Co–O bond distances ranging from 1.92–1.97 Å. In the tenth Co site, Co is bonded to six O atoms to form CoO6 octahedra that share corners with four LiO6 octahedra, a cornercorner with one CoO4 tetrahedra, edges with four LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 6–9°. There are a spread of Co–O bond distances ranging from 1.92–1.97 Å. In the eleventh Co site, Co is bonded to six O atoms to form CoO6 octahedra that share corners with five LiO6 octahedra, a cornercorner with one CoO4 tetrahedra, edges with four LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 5–10°. There are a spread of Co–O bond distances ranging from 1.93–1.96 Å. In the twelfth Co site, Co is bonded to six O atoms to form CoO6 octahedra that share corners with five LiO6 octahedra, a cornercorner with one CoO4 tetrahedra, edges with four LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 5–8°. There are a spread of Co–O bond distances ranging from 1.94–1.97 Å. In the thirteenth Co site, Co is bonded to six O atoms to form CoO6 octahedra that share corners with five LiO6 octahedra, edges with six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 5–9°. There are a spread of Co–O bond distances ranging from 1.93–1.96 Å. In the fourteenth Co site, Co is bonded to six O atoms to form CoO6 octahedra that share corners with five LiO6 octahedra, edges with six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 5–9°. There are a spread of Co–O bond distances ranging from 1.94–1.96 Å. In the fifteenth Co site, Co is bonded to six O atoms to form CoO6 octahedra that share corners with five LiO6 octahedra, a cornercorner with one CoO4 tetrahedra, edges with four LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 7–11°. There are a spread of Co–O bond distances ranging from 2.05–2.12 Å. In the sixteenth Co site, Co is bonded to six O atoms to form CoO6 octahedra that share corners with five LiO6 octahedra, edges with six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 4–10°. There are a spread of Co–O bond distances ranging from 1.93–1.97 Å. In the seventeenth Co site, Co is bonded to four O atoms to form distorted corner-sharing CoO4 tetrahedra. The corner-sharing octahedra tilt angles range from 54–64°. There are a spread of Co–O bond distances ranging from 1.89–1.95 Å. In the eighteenth Co site, Co is bonded to six O atoms to form CoO6 octahedra that share corners with five LiO6 octahedra, edges with six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 4–10°. There are a spread of Co–O bond distances ranging from 1.92–1.96 Å. In the nineteenth Co site, Co is bonded to six O atoms to form CoO6 octahedra that share corners with five LiO6 octahedra, a cornercorner with one CoO4 tetrahed

36 MATERIALS SCIENCE↗

Materials Data on Na9Mn15O32 by Materials Project

Na9Mn15O32 is Spinel-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are nine inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded to four O2- atoms to form NaO4 tetrahedra that share corners with ten MnO6 octahedra. The corner-sharing octahedra tilt angles range from 47–67°. There are a spread of Na–O bond distances ranging from 2.14–2.20 Å. In the second Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.21–2.35 Å. In the third Na1+ site, Na1+ is bonded to four O2- atoms to form NaO4 tetrahedra that share corners with ten MnO6 octahedra. The corner-sharing octahedra tilt angles range from 50–70°. There are a spread of Na–O bond distances ranging from 2.14–2.21 Å. In the fourth Na1+ site, Na1+ is bonded to four O2- atoms to form NaO4 tetrahedra that share corners with eleven MnO6 octahedra. The corner-sharing octahedra tilt angles range from 56–68°. There are a spread of Na–O bond distances ranging from 2.16–2.28 Å. In the fifth Na1+ site, Na1+ is bonded to four O2- atoms to form NaO4 tetrahedra that share corners with twelve MnO6 octahedra. The corner-sharing octahedra tilt angles range from 51–71°. There are a spread of Na–O bond distances ranging from 2.17–2.24 Å. In the sixth Na1+ site, Na1+ is bonded to four O2- atoms to form NaO4 tetrahedra that share corners with twelve MnO6 octahedra. The corner-sharing octahedra tilt angles range from 56–66°. There are a spread of Na–O bond distances ranging from 2.17–2.22 Å. In the seventh Na1+ site, Na1+ is bonded to four O2- atoms to form NaO4 tetrahedra that share corners with twelve MnO6 octahedra. The corner-sharing octahedra tilt angles range from 51–72°. There are a spread of Na–O bond distances ranging from 2.16–2.22 Å. In the eighth Na1+ site, Na1+ is bonded to four O2- atoms to form NaO4 tetrahedra that share corners with twelve MnO6 octahedra. The corner-sharing octahedra tilt angles range from 49–75°. There are a spread of Na–O bond distances ranging from 2.18–2.20 Å. In the ninth Na1+ site, Na1+ is bonded to four O2- atoms to form NaO4 tetrahedra that share corners with eleven MnO6 octahedra. The corner-sharing octahedra tilt angles range from 54–67°. There are a spread of Na–O bond distances ranging from 2.16–2.26 Å. There are fifteen inequivalent Mn+3.67+ sites. In the first Mn+3.67+ site, Mn+3.67+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six NaO4 tetrahedra and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.91–2.03 Å. In the second Mn+3.67+ site, Mn+3.67+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six NaO4 tetrahedra and edges with five MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.85–2.07 Å. In the third Mn+3.67+ site, Mn+3.67+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with six NaO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.93–2.29 Å. In the fourth Mn+3.67+ site, Mn+3.67+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six NaO4 tetrahedra and edges with five MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.85–2.05 Å. In the fifth Mn+3.67+ site, Mn+3.67+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six NaO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.92–2.00 Å. In the sixth Mn+3.67+ site, Mn+3.67+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six NaO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.93–2.00 Å. In the seventh Mn+3.67+ site, Mn+3.67+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six NaO4 tetrahedra and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.91–2.02 Å. In the eighth Mn+3.67+ site, Mn+3.67+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with six NaO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.98–2.28 Å. In the ninth Mn+3.67+ site, Mn+3.67+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with six NaO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.96–2.22 Å. In the tenth Mn+3.67+ site, Mn+3.67+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six NaO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.93–1.99 Å. In the eleventh Mn+3.67+ site, Mn+3.67+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six NaO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.94–2.01 Å. In the twelfth Mn+3.67+ site, Mn+3.67+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six NaO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.94–2.00 Å. In the thirteenth Mn+3.67+ site, Mn+3.67+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with six NaO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.98–2.29 Å. In the fourteenth Mn+3.67+ site, Mn+3.67+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with six NaO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.93–2.31 Å. In the fifteenth Mn+3.67+ site, Mn+3.67+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six NaO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.96–2.02 Å. There are thirty-two inequivalent O2- sites. In the first O2- site, O2- is bonded to two Na1+ and two Mn+3.67+ atoms to form distorted ONa2Mn2 trigonal pyramids that share corners with four ONaMn3 tetrahedra, corners with six ONa2Mn2 trigonal pyramids, an edgeedge with one ONa2Mn2 tetrahedra, and an edgeedge with one ONa2Mn2 trigonal pyramid. In the second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Na1+ and three Mn+3.67+ atoms. In the third O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Na1+ and three Mn+3.67+ atoms. In the fourth O2- site, O2- is bonded to two Na1+ and two Mn+3.67+ atoms to form a mixture of distorted edge and corner-sharing ONa2Mn2 trigonal pyramids. In the fifth O2- site, O2- is bonded to two Na1+ and two Mn+3.67+ atoms to form distorted ONa2Mn2 trigonal pyramids that share corners with five ONaMn3 tetrahedra, corners with five ONaMn3 trigonal pyramids, and edges with two ONa2Mn2 trigonal pyramids. In the sixth O2- site, O2- is bonded to two Na1+ and two Mn+3.67+ atoms to form distorted ONa2Mn2 trigonal pyramids that share corners with five ONaMn3 tetrahedra, corners with five ONaMn3 trigonal pyramids, and edges with two ONa2Mn2 trigonal pyramids. In the seventh O2- site, O2- is bonded to one Na1+ and three Mn+3.67+ atoms to form a mixture of edge and corner-sharing ONaMn3 tetrahedra. In the eighth O2- site, O2- is bonded to two Na1+ and two Mn+3.67+ atoms to form distorted ONa2Mn2 trigonal pyramids that share corners with four ONaMn3 tetrahedra, corners with six ONa2Mn2 trigonal pyramids, an edgeedge with one ONa2Mn2 tetrahedra, and an edgeedge with one ONa2Mn2 trigonal pyramid. In the ninth O2- site, O2- is bonded to one Na1+ and three Mn+3.67+ atoms to form a mixture of distorted edge and corner-sharing ONaMn3 trigonal pyramids. In the tenth O2- site, O2- is bonded to one Na1+ and three Mn+3.67+ atoms to form distorted ONaMn3 tetrahedra that share corners with seven ONa2Mn2 tetrahedra, corners with four ONaMn3 trigonal pyramids, edges with two ONaMn3 tetrahedra, and an edgeedge with one ONaMn3 trigonal pyramid. In the eleventh O2- site, O2- is bonded to one Na1+ and three Mn+3.67+ atoms to form a mixture of distorted edge and corner-sharing ONaMn3 tetrahedra. In the twelfth O2- site, O2- is bonded to two Na1+ and two Mn+3.67+ atoms to form distorted ONa2Mn2 tetrahedra that share corners with three ONaMn3 tetrahedra, corners with seven ONa2Mn2 trigonal pyramids, and edges with two ONa2Mn2 trigonal pyramids. In the thirteenth O2- site, O2- is bonded to one Na1+ and three Mn+3.67+ atoms to form a mixture of distorted edge and corner-sharing ONaMn3 trigonal pyramids. In the fourteenth O2- site, O2- is bonded to one Na1+ and three Mn+3.67+ atoms to form a mixture of distorted edge and corner-sharing ONaMn3 trigonal pyramids. In the fifteenth O2- site, O2- is bonded to one Na1+ and three Mn+3.67+ atoms to form a mixture of edge and corner-sharing ONaMn3 tetrahedra. In the sixteenth O2- site, O2- is bonded to one Na1+ and three Mn+3.67+ atoms to form a mixture of distorted edge and corner-sharing ONaMn3 tetrahedra. In the seventeenth O2- site, O2- is bonded to one Na1+ and three Mn+3.67+ atoms to form a mixture of edge and corner-sharing ONaMn3 tetrahedra. In the eighteenth O2- site, O2- is bonded to one Na1+ and three Mn+3.67+ atoms to form a mixture of distorted edge and corner-sharing ONaMn3 trigonal pyramids. In the nineteenth O2- site, O2- is bonded to one Na1+ and three Mn+3.67+ atoms to form a mixture of edge and corner-sharing ONaMn3 tetrahedra. In the twentieth O2- site, O2- is bonded to one Na1+ and three Mn+3.67+ atoms to form a mixture of distorted edge and corner-sharing ONaMn3 trigonal pyramids. In the twenty-first O2- site, O2- is bonded to one Na1+ and three Mn+3.67+ atoms to form a mixture of distorted edge and corner-sharing ONaMn3 trigonal pyramids. In the twenty-second O2- site, O2- is bonded to one Na1+ and three Mn+3.67+ atoms to form a mixture of distorted edge and corner-sharing ONaMn3 tetrahedra. In the twenty-third O2- site, O2- is bonded to one Na1+ and three Mn+3.67+ atoms to form a mixture of distorted edge and corner-sharing ONaMn3 trigonal pyramids. In the twenty-fourth O2- site, O2- is bonded to one Na1+ and three Mn+3.67+ atoms to form a mixture of distorted edge and corner-sharing ONaMn3 tetrahedra. In the twenty-fifth O2- site, O2- is bonded to one Na1+ and three Mn+3.67+ atoms to form ONaMn3 tetrahedra that share corners with seven ONaMn3 tetrahedra, corners with three ONa2Mn2 trigonal pyramids, edges with two ONaMn3 tetrahedra, and an edgeedge with one ONaMn3 trigonal pyramid. In the twenty-sixth O2- site, O2- is bonded to one Na1+ and three Mn+3.67+ atoms to form a mixture of edge and corner-sharing ONaMn3 tetrahedra. In the twenty-seventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Na1+ and three Mn+3.67+ atoms. In the twenty-eighth O2- site, O2- is bonded to one Na1+ and three Mn+3.67+ atoms to form a mixture of edge and corner-sharing ONaMn3 tetrahedra. In the twenty-ninth O2- site, O2- is bonded to one Na1+ and three Mn+3.67+ atoms to form a mixture of edge and corner-sharing ONaMn3 tetrahedra. In the thirtieth O2- site, O2- is bonded to one Na1+ and three Mn+3.67+ atoms to form a mixture of distorted edge and corner-sharing ONaMn3 tetrahedra. In the thirty-first O2- site, O2- is bonded to one Na1+ and three Mn+3.67+ atoms to form ONaMn3 tetrahedra that share corners with seven ONaMn3 tetrahedra, corners with three ONa2Mn2 trigonal pyramids, edges with two ONaMn3 tetrahedra, and an edgeedge with one ONaMn3 trigonal pyramid. In the thirty-second O2- site, O2- is bonded to one Na1+ and three Mn+3.67+ atoms to form distorted ONaMn3 tetrahedra that share corners with six ONaMn3 tetrahedra, corners with three ONa2Mn2 trigonal pyramids, edges with two ONaMn3 tetrahedra, and an edgeedge with one ONaMn3 trigonal pyramid.

36 MATERIALS SCIENCE↗

Materials Data on Li6V5O12 by Materials Project

Li6V5O12 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are six inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two VO6 octahedra, corners with four LiO6 octahedra, edges with five VO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–14°. There are a spread of Li–O bond distances ranging from 2.00–2.41 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with three VO6 octahedra, edges with five LiO6 octahedra, and edges with six VO6 octahedra. The corner-sharing octahedra tilt angles range from 5–16°. There are a spread of Li–O bond distances ranging from 2.04–2.34 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with two LiO6 octahedra, corners with three VO6 octahedra, edges with five LiO6 octahedra, and edges with six VO6 octahedra. The corner-sharing octahedra tilt angles range from 3–14°. There are a spread of Li–O bond distances ranging from 1.99–2.59 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with three VO6 octahedra, edges with five LiO6 octahedra, and edges with six VO6 octahedra. The corner-sharing octahedra tilt angles range from 4–15°. There are a spread of Li–O bond distances ranging from 2.02–2.36 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with two LiO6 octahedra, corners with three VO6 octahedra, edges with five LiO6 octahedra, and edges with six VO6 octahedra. The corner-sharing octahedra tilt angles range from 3–18°. There are a spread of Li–O bond distances ranging from 1.95–2.60 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two VO6 octahedra, corners with four LiO6 octahedra, edges with five VO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–18°. There are a spread of Li–O bond distances ranging from 2.08–2.18 Å. There are five inequivalent V+3.60+ sites. In the first V+3.60+ site, V+3.60+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two VO6 octahedra, corners with four LiO6 octahedra, edges with four LiO6 octahedra, and edges with five VO6 octahedra. The corner-sharing octahedra tilt angles range from 3–16°. There are a spread of V–O bond distances ranging from 1.89–2.02 Å. In the second V+3.60+ site, V+3.60+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two VO6 octahedra, corners with four LiO6 octahedra, edges with four LiO6 octahedra, and edges with five VO6 octahedra. The corner-sharing octahedra tilt angles range from 4–17°. There are a spread of V–O bond distances ranging from 1.94–2.13 Å. In the third V+3.60+ site, V+3.60+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two VO6 octahedra, corners with four LiO6 octahedra, edges with two VO6 octahedra, and edges with ten LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–12°. There are a spread of V–O bond distances ranging from 1.84–2.13 Å. In the fourth V+3.60+ site, V+3.60+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two LiO6 octahedra, corners with three VO6 octahedra, edges with three VO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–15°. There are a spread of V–O bond distances ranging from 1.85–2.11 Å. In the fifth V+3.60+ site, V+3.60+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two LiO6 octahedra, corners with three VO6 octahedra, edges with three VO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–17°. There are a spread of V–O bond distances ranging from 2.00–2.14 Å. There are twelve inequivalent O2- sites. In the first O2- site, O2- is bonded to two Li1+ and three V+3.60+ atoms to form OLi2V3 square pyramids that share corners with three OLi4V2 octahedra, corners with six OLi2V3 square pyramids, edges with three OLi4V2 octahedra, and edges with five OLi2V3 square pyramids. The corner-sharing octahedra tilt angles range from 7–14°. In the second O2- site, O2- is bonded to two Li1+ and three V+3.60+ atoms to form OLi2V3 square pyramids that share corners with three OLi4V2 octahedra, corners with six OLi2V3 square pyramids, edges with three OLi4V2 octahedra, and edges with five OLi2V3 square pyramids. The corner-sharing octahedra tilt angles range from 3–13°. In the third O2- site, O2- is bonded to two Li1+ and three V+3.60+ atoms to form OLi2V3 square pyramids that share corners with three OLi4V2 octahedra, corners with six OLi2V3 square pyramids, edges with three OLi4V2 octahedra, and edges with five OLi2V3 square pyramids. The corner-sharing octahedra tilt angles range from 3–17°. In the fourth O2- site, O2- is bonded to four Li1+ and two V+3.60+ atoms to form OLi4V2 octahedra that share corners with three OLi4V2 octahedra, corners with three OLi2V3 square pyramids, edges with nine OLi4V2 octahedra, and edges with three OLi2V3 square pyramids. The corner-sharing octahedra tilt angles range from 6–9°. In the fifth O2- site, O2- is bonded to four Li1+ and two V+3.60+ atoms to form OLi4V2 octahedra that share corners with three OLi4V2 octahedra, corners with three OLi2V3 square pyramids, edges with nine OLi4V2 octahedra, and edges with three OLi2V3 square pyramids. The corner-sharing octahedra tilt angles range from 8–10°. In the sixth O2- site, O2- is bonded to four Li1+ and two V+3.60+ atoms to form OLi4V2 octahedra that share corners with three OLi4V2 octahedra, corners with three OLi2V3 square pyramids, edges with nine OLi4V2 octahedra, and edges with three OLi2V3 square pyramids. The corner-sharing octahedral tilt angles are 6°. In the seventh O2- site, O2- is bonded to two Li1+ and three V+3.60+ atoms to form distorted OLi2V3 square pyramids that share corners with three OLi4V2 octahedra, corners with six OLi2V3 square pyramids, edges with three OLi4V2 octahedra, and edges with five OLi2V3 square pyramids. The corner-sharing octahedra tilt angles range from 2–13°. In the eighth O2- site, O2- is bonded to two Li1+ and three V+3.60+ atoms to form OLi2V3 square pyramids that share corners with three OLi4V2 octahedra, corners with six OLi2V3 square pyramids, edges with three OLi4V2 octahedra, and edges with five OLi2V3 square pyramids. The corner-sharing octahedra tilt angles range from 2–19°. In the ninth O2- site, O2- is bonded to two Li1+ and three V+3.60+ atoms to form distorted OLi2V3 square pyramids that share corners with three OLi4V2 octahedra, corners with six OLi2V3 square pyramids, edges with three OLi4V2 octahedra, and edges with five OLi2V3 square pyramids. The corner-sharing octahedra tilt angles range from 4–12°. In the tenth O2- site, O2- is bonded to four Li1+ and two V+3.60+ atoms to form OLi4V2 octahedra that share corners with three OLi4V2 octahedra, corners with three OLi2V3 square pyramids, edges with nine OLi4V2 octahedra, and edges with three OLi2V3 square pyramids. The corner-sharing octahedra tilt angles range from 2–10°. In the eleventh O2- site, O2- is bonded to four Li1+ and two V+3.60+ atoms to form OLi4V2 octahedra that share corners with three OLi4V2 octahedra, corners with three OLi2V3 square pyramids, edges with nine OLi4V2 octahedra, and edges with three OLi2V3 square pyramids. The corner-sharing octahedra tilt angles range from 6–12°. In the twelfth O2- site, O2- is bonded to four Li1+ and two V+3.60+ atoms to form distorted OLi4V2 octahedra that share corners with three OLi4V2 octahedra, corners with three OLi2V3 square pyramids, edges with nine OLi4V2 octahedra, and edges with three OLi2V3 square pyramids. The corner-sharing octahedra tilt angles range from 2–12°.

36 MATERIALS SCIENCE↗

Materials Data on Li5V3P8O29 by Materials Project

Li5V3P8O29 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 O2- atoms to form distorted LiO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with four PO4 tetrahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.94–2.16 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with four PO4 tetrahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.91–2.20 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three VO6 octahedra and corners with four PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 66–67°. There are a spread of Li–O bond distances ranging from 1.91–2.17 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with four PO4 tetrahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.88–2.26 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with four PO4 tetrahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.87–2.25 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with four PO4 tetrahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.96–2.22 Å. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with four PO4 tetrahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.87–2.22 Å. In the eighth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with four PO4 tetrahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.92–2.19 Å. In the ninth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with four PO4 tetrahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.87–2.25 Å. In the tenth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with four PO4 tetrahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.94–2.24 Å. There are six inequivalent V+4.33+ sites. In the first V+4.33+ site, V+4.33+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and edges with two LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.88–1.98 Å. In the second V+4.33+ site, V+4.33+ is bonded to six O2- atoms to form VO6 octahedra that share a cornercorner with one LiO4 tetrahedra, corners with six PO4 tetrahedra, and edges with two LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.89–2.01 Å. In the third V+4.33+ site, V+4.33+ is bonded to six O2- atoms to form VO6 octahedra that share a cornercorner with one LiO4 tetrahedra, corners with six PO4 tetrahedra, and edges with two LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.84–1.99 Å. In the fourth V+4.33+ site, V+4.33+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.82–2.03 Å. In the fifth V+4.33+ site, V+4.33+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.84–2.02 Å. In the sixth V+4.33+ site, V+4.33+ is bonded to six O2- atoms to form VO6 octahedra that share a cornercorner with one LiO4 tetrahedra, corners with six PO4 tetrahedra, and an edgeedge with one LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.87–2.00 Å. There are sixteen inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 46–47°. There are a spread of P–O bond distances ranging from 1.48–1.62 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 40–48°. There are a spread of P–O bond distances ranging from 1.50–1.61 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 38–43°. There are a spread of P–O bond distances ranging from 1.48–1.62 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra and corners with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 31–36°. There are a spread of P–O bond distances ranging from 1.50–1.60 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra and corners with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 34–35°. There are a spread of P–O bond distances ranging from 1.49–1.60 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 44–46°. There are a spread of P–O bond distances ranging from 1.50–1.61 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 41–47°. 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 corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with three LiO4 tetrahedra. The corner-sharing octahedral tilt angles are 46°. There are a spread of P–O bond distances ranging from 1.48–1.61 Å. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 37–43°. There are a spread of P–O bond distances ranging from 1.48–1.63 Å. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 38–40°. There are a spread of P–O bond distances ranging from 1.50–1.62 Å. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 39–40°. There are a spread of P–O bond distances ranging from 1.49–1.62 Å. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 30–36°. There are a spread of P–O bond distances ranging from 1.48–1.61 Å. In the thirteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 28–35°. There are a spread of P–O bond distances ranging from 1.49–1.61 Å. In the fourteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 39–47°. There are a spread of P–O bond distances ranging from 1.50–1.61 Å. In the fifteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 38–47°. There are a spread of P–O bond distances ranging from 1.48–1.62 Å. In the sixteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 40–47°. There are a spread of P–O bond distances ranging from 1.48–1.61 Å. There are fifty-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 V+4.33+, and one P5+ atom. In the third O2- site, O2- is bonded in a bent 120 degrees geometry to one Li1+ and one P5+ atom. In the fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+4.33+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one V+4.33+, and one P5+ atom. In the sixth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.33+ and one P5+ atom. In the seventh O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.33+ and one P5+ atom. In the eighth O2- site, O2- is bonded in a bent 120 degrees geometry to one Li1+ and one P5+ atom. In the ninth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one V+4.33+ and one P5+ atom. In the tenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+4.33+, and one P5+ atom. In the eleventh O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.33+ and one P5+ atom. In the twelfth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+4.33+, and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a linear geometry to one Li1+ and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a single-bond geometry to one P5+ atom. In the fifteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+4.33+, and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+4.33+, and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+4.33+, and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+4.33+, and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two P5+ atoms. In the twentieth O2- site, O2- is bonded in a trigonal planar geometry to two 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+ ato

36 MATERIALS SCIENCE↗

Materials Data on Ba4Li6Ti19O44 by Materials Project

Li6Ba4Ti19O44 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are six inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 1.93–2.40 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with five TiO6 octahedra, edges with three TiO6 octahedra, a faceface with one BaO12 cuboctahedra, and a faceface with one TiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–49°. There are a spread of Li–O bond distances ranging from 2.04–2.40 Å. In the third 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 1.94–2.19 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with ten TiO6 octahedra and an edgeedge with one BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 55–61°. There are a spread of Li–O bond distances ranging from 1.97–2.05 Å. In the fifth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.85–2.29 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with ten TiO6 octahedra. The corner-sharing octahedra tilt angles range from 54–63°. There are a spread of Li–O bond distances ranging from 1.95–2.06 Å. There are four inequivalent Ba2+ sites. In the first Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with two equivalent BaO12 cuboctahedra, corners with six TiO6 octahedra, edges with three TiO6 octahedra, faces with two equivalent BaO12 cuboctahedra, a faceface with one LiO6 octahedra, and faces with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 23–48°. There are a spread of Ba–O bond distances ranging from 2.77–3.04 Å. In the second Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with two equivalent BaO12 cuboctahedra, corners with seven TiO6 octahedra, edges with three TiO6 octahedra, an edgeedge with one LiO4 tetrahedra, and faces with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 28–49°. There are a spread of Ba–O bond distances ranging from 2.79–3.11 Å. In the third Ba2+ site, Ba2+ is bonded in a 12-coordinate geometry to twelve O2- atoms. There are a spread of Ba–O bond distances ranging from 2.73–3.25 Å. In the fourth Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with two equivalent BaO12 cuboctahedra, corners with six TiO6 octahedra, edges with three TiO6 octahedra, faces with two equivalent BaO12 cuboctahedra, and faces with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 27–53°. There are a spread of Ba–O bond distances ranging from 2.81–3.08 Å. There are nineteen inequivalent Ti+3.89+ sites. In the first Ti+3.89+ site, Ti+3.89+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one BaO12 cuboctahedra, corners with two TiO6 octahedra, corners with two LiO4 tetrahedra, an edgeedge with one BaO12 cuboctahedra, and edges with five TiO6 octahedra. The corner-sharing octahedra tilt angles range from 49–53°. There are a spread of Ti–O bond distances ranging from 1.98–2.03 Å. In the second Ti+3.89+ site, Ti+3.89+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one BaO12 cuboctahedra, a cornercorner with one LiO6 octahedra, corners with two TiO6 octahedra, corners with two LiO4 tetrahedra, an edgeedge with one BaO12 cuboctahedra, and edges with five TiO6 octahedra. The corner-sharing octahedra tilt angles range from 44–52°. There are a spread of Ti–O bond distances ranging from 1.94–2.13 Å. In the third Ti+3.89+ site, Ti+3.89+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two BaO12 cuboctahedra, corners with two TiO6 octahedra, an edgeedge with one BaO12 cuboctahedra, and edges with five TiO6 octahedra. The corner-sharing octahedra tilt angles range from 49–50°. There are a spread of Ti–O bond distances ranging from 1.93–2.09 Å. In the fourth Ti+3.89+ site, Ti+3.89+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with three TiO6 octahedra, corners with three LiO4 tetrahedra, an edgeedge with one BaO12 cuboctahedra, and edges with three TiO6 octahedra. The corner-sharing octahedra tilt angles range from 42–59°. There are a spread of Ti–O bond distances ranging from 1.79–2.18 Å. In the fifth Ti+3.89+ site, Ti+3.89+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one BaO12 cuboctahedra, corners with seven TiO6 octahedra, edges with two TiO6 octahedra, and faces with three BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 11–53°. There are a spread of Ti–O bond distances ranging from 1.84–2.16 Å. In the sixth Ti+3.89+ site, Ti+3.89+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one BaO12 cuboctahedra, corners with six TiO6 octahedra, edges with two TiO6 octahedra, a faceface with one BaO12 cuboctahedra, and a faceface with one LiO6 octahedra. The corner-sharing octahedra tilt angles range from 11–51°. There are a spread of Ti–O bond distances ranging from 1.87–2.15 Å. In the seventh Ti+3.89+ site, Ti+3.89+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with three TiO6 octahedra, corners with three LiO4 tetrahedra, edges with three TiO6 octahedra, and a faceface with one BaO12 cuboctahedra. The corner-sharing octahedral tilt angles are 11°. There are a spread of Ti–O bond distances ranging from 1.93–2.06 Å. In the eighth Ti+3.89+ site, Ti+3.89+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with three TiO6 octahedra, edges with two TiO6 octahedra, and faces with three BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 2–13°. There are a spread of Ti–O bond distances ranging from 1.91–2.17 Å. In the ninth Ti+3.89+ site, Ti+3.89+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two equivalent BaO12 cuboctahedra, corners with four TiO6 octahedra, an edgeedge with one BaO12 cuboctahedra, and edges with three TiO6 octahedra. The corner-sharing octahedra tilt angles range from 49–52°. There are a spread of Ti–O bond distances ranging from 1.87–2.17 Å. In the tenth Ti+3.89+ site, Ti+3.89+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two BaO12 cuboctahedra, corners with two TiO6 octahedra, an edgeedge with one BaO12 cuboctahedra, and edges with five TiO6 octahedra. The corner-sharing octahedra tilt angles range from 49–52°. There are a spread of Ti–O bond distances ranging from 1.95–2.04 Å. In the eleventh Ti+3.89+ site, Ti+3.89+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one BaO12 cuboctahedra, a cornercorner with one LiO6 octahedra, corners with two TiO6 octahedra, corners with two LiO4 tetrahedra, an edgeedge with one BaO12 cuboctahedra, and edges with five TiO6 octahedra. The corner-sharing octahedra tilt angles range from 48–49°. There are a spread of Ti–O bond distances ranging from 1.87–2.19 Å. In the twelfth Ti+3.89+ site, Ti+3.89+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one BaO12 cuboctahedra, corners with two TiO6 octahedra, corners with two LiO4 tetrahedra, an edgeedge with one BaO12 cuboctahedra, and edges with five TiO6 octahedra. The corner-sharing octahedra tilt angles range from 50–53°. There are a spread of Ti–O bond distances ranging from 1.97–2.01 Å. In the thirteenth Ti+3.89+ site, Ti+3.89+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two BaO12 cuboctahedra, corners with two TiO6 octahedra, an edgeedge with one LiO6 octahedra, and edges with three TiO6 octahedra. The corner-sharing octahedra tilt angles range from 42–51°. There are a spread of Ti–O bond distances ranging from 1.89–2.09 Å. In the fourteenth Ti+3.89+ site, Ti+3.89+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with three TiO6 octahedra, edges with three TiO6 octahedra, and faces with three BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 9–17°. There are a spread of Ti–O bond distances ranging from 1.82–2.20 Å. In the fifteenth Ti+3.89+ site, Ti+3.89+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two equivalent BaO12 cuboctahedra, corners with four TiO6 octahedra, edges with two equivalent LiO6 octahedra, and edges with two TiO6 octahedra. The corner-sharing octahedra tilt angles range from 33–52°. There are a spread of Ti–O bond distances ranging from 1.90–2.12 Å. In the sixteenth Ti+3.89+ site, Ti+3.89+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one BaO12 cuboctahedra, corners with seven TiO6 octahedra, edges with two TiO6 octahedra, and faces with two equivalent BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 11–52°. There are a spread of Ti–O bond distances ranging from 1.97–2.13 Å. In the seventeenth Ti+3.89+ site, Ti+3.89+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two equivalent BaO12 cuboctahedra, corners with four TiO6 octahedra, corners with three LiO4 tetrahedra, an edgeedge with one BaO12 cuboctahedra, and edges with three TiO6 octahedra. The corner-sharing octahedral tilt angles are 49°. There are a spread of Ti–O bond distances ranging from 1.85–2.22 Å. In the eighteenth Ti+3.89+ site, Ti+3.89+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with three TiO6 octahedra, corners with three LiO4 tetrahedra, edges with three TiO6 octahedra, and faces with two equivalent BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 15–17°. There are a spread of Ti–O bond distances ranging from 1.90–2.12 Å. In the nineteenth Ti+3.89+ site, Ti+3.89+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with seven TiO6 octahedra, an edgeedge with one TiO6 octahedra, and faces with three BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 2–59°. There are a spread of Ti–O bond distances ranging from 1.81–2.23 Å. There are forty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, one Ba2+, and two Ti+3.89+ atoms. In the second O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti+3.89+ atoms. In the third O2- site, O2- is bonded in a distorted T-shaped geometry to two Ba2+ and three Ti+3.89+ atoms. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to two Ba2+ and three Ti+3.89+ atoms. In the fifth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, one Ba2+, and two Ti+3.89+ atoms. In the sixth O2- site, O2- is bonded in a 5-coordinate geometry to two Li1+, one Ba2+, and two Ti+3.89+ atoms. In the seventh O2- site, O2- is bonded to one Li1+ and three Ti+3.89+ atoms to form distorted corner-sharing OLiTi3 tetrahedra. In the eighth O2- site, O2- is bonded to two Li1+ and three Ti+3.89+ atoms to form distorted edge-sharing OLi2Ti3 square pyramids. In the ninth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, one Ba2+, and three Ti+3.89+ atoms. In the tenth O2- site, O2- is bonded in a distorted linear geometry to three Ba2+ and two Ti+3.89+ atoms. In the eleventh O2- site, O2- is bonded in a bent 150 degrees geometry to two Ti+3.89+ atoms. In the twelfth O2- site, O2- is bonded in a 2-coordinate geometry to three Ba2+ and two Ti+3.89+ atoms. In the thirteenth O2- site, O2- is bonded to one Li1+ and three

36 MATERIALS SCIENCE↗

Materials Data on Na8Bi5O14 by Materials Project

Na8Bi5O14 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are nine inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share a cornercorner with one BiO6 octahedra, corners with three NaO6 octahedra, edges with three BiO6 octahedra, and edges with six NaO6 octahedra. The corner-sharing octahedra tilt angles range from 7–19°. There are a spread of Na–O bond distances ranging from 2.37–2.68 Å. In the second Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share corners with four NaO6 octahedra, edges with four NaO6 octahedra, and edges with six BiO6 octahedra. The corner-sharing octahedra tilt angles range from 19–20°. There are a spread of Na–O bond distances ranging from 2.45–2.52 Å. In the third Na1+ site, Na1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Na–O bond distances ranging from 2.31–2.93 Å. In the fourth Na1+ site, Na1+ is bonded to six O2- atoms to form NaO6 octahedra that share corners with two equivalent NaO6 octahedra, corners with three BiO6 octahedra, edges with two BiO6 octahedra, and edges with seven NaO6 octahedra. The corner-sharing octahedra tilt angles range from 8–21°. There are a spread of Na–O bond distances ranging from 2.33–2.74 Å. In the fifth Na1+ site, Na1+ is bonded to six O2- atoms to form NaO6 octahedra that share corners with two NaO6 octahedra, corners with two equivalent BiO6 octahedra, edges with three BiO6 octahedra, and edges with seven NaO6 octahedra. The corner-sharing octahedra tilt angles range from 8–17°. There are a spread of Na–O bond distances ranging from 2.42–2.77 Å. In the sixth Na1+ site, Na1+ is bonded to six O2- atoms to form NaO6 octahedra that share corners with two NaO6 octahedra, corners with three BiO6 octahedra, edges with three BiO6 octahedra, and edges with seven NaO6 octahedra. The corner-sharing octahedra tilt angles range from 1–16°. There are a spread of Na–O bond distances ranging from 2.40–2.91 Å. In the seventh Na1+ site, Na1+ is bonded to six O2- atoms to form NaO6 octahedra that share corners with two NaO6 octahedra, corners with two BiO6 octahedra, edges with four BiO6 octahedra, and edges with six NaO6 octahedra. The corner-sharing octahedra tilt angles range from 8–20°. There are a spread of Na–O bond distances ranging from 2.36–2.73 Å. In the eighth Na1+ site, Na1+ is bonded to six O2- atoms to form NaO6 octahedra that share corners with two BiO6 octahedra, corners with four NaO6 octahedra, edges with three BiO6 octahedra, and edges with five NaO6 octahedra. The corner-sharing octahedra tilt angles range from 8–16°. There are a spread of Na–O bond distances ranging from 2.43–2.74 Å. In the ninth Na1+ site, Na1+ is bonded to six O2- atoms to form NaO6 octahedra that share corners with two equivalent NaO6 octahedra, corners with two equivalent BiO6 octahedra, edges with two equivalent BiO6 octahedra, and edges with eight NaO6 octahedra. The corner-sharing octahedra tilt angles range from 8–16°. There are a spread of Na–O bond distances ranging from 2.46–2.67 Å. There are five inequivalent Bi4+ sites. In the first Bi4+ site, Bi4+ is bonded to six O2- atoms to form BiO6 octahedra that share a cornercorner with one BiO6 octahedra, corners with four NaO6 octahedra, edges with three BiO6 octahedra, and edges with five NaO6 octahedra. The corner-sharing octahedra tilt angles range from 8–18°. There are a spread of Bi–O bond distances ranging from 2.02–2.31 Å. In the second Bi4+ site, Bi4+ is bonded to six O2- atoms to form distorted BiO6 octahedra that share a cornercorner with one BiO6 octahedra, corners with four NaO6 octahedra, edges with three BiO6 octahedra, and edges with seven NaO6 octahedra. The corner-sharing octahedra tilt angles range from 7–21°. There are a spread of Bi–O bond distances ranging from 2.07–2.68 Å. In the third Bi4+ site, Bi4+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Bi–O bond distances ranging from 2.10–2.89 Å. In the fourth Bi4+ site, Bi4+ is bonded to six O2- atoms to form BiO6 octahedra that share corners with three NaO6 octahedra, edges with four BiO6 octahedra, and edges with six NaO6 octahedra. The corner-sharing octahedra tilt angles range from 1–8°. There are a spread of Bi–O bond distances ranging from 2.07–2.32 Å. In the fifth Bi4+ site, Bi4+ is bonded to six O2- atoms to form distorted BiO6 octahedra that share corners with two BiO6 octahedra, corners with three NaO6 octahedra, edges with four NaO6 octahedra, and edges with five BiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–16°. There are a spread of Bi–O bond distances ranging from 2.19–2.74 Å. There are fourteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Na1+ and one Bi4+ atom. In the second O2- site, O2- is bonded to four Na1+ and two Bi4+ atoms to form distorted ONa4Bi2 octahedra that share corners with four ONa5Bi octahedra, a cornercorner with one ONa3Bi2 trigonal bipyramid, edges with five OBi6 octahedra, edges with four ONa3Bi2 square pyramids, and edges with two equivalent ONa3Bi2 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 0–19°. In the third O2- site, O2- is bonded to four Na1+ and two Bi4+ atoms to form distorted ONa4Bi2 octahedra that share corners with two ONa4Bi2 octahedra, corners with three ONa3Bi2 square pyramids, a cornercorner with one ONa3Bi2 trigonal bipyramid, edges with eight OBi6 octahedra, an edgeedge with one ONa4Bi square pyramid, and an edgeedge with one ONa3Bi2 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 10–12°. In the fourth O2- site, O2- is bonded to four Na1+ and two Bi4+ atoms to form distorted ONa4Bi2 octahedra that share corners with four ONa5Bi octahedra, corners with two ONa3Bi2 square pyramids, a cornercorner with one ONa3Bi2 trigonal bipyramid, edges with six OBi6 octahedra, edges with three ONa2Bi3 square pyramids, and an edgeedge with one ONa3Bi2 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 8–20°. In the fifth O2- site, O2- is bonded to four Na1+ and one Bi4+ atom to form ONa4Bi square pyramids that share corners with four OBi6 octahedra, a cornercorner with one ONa3Bi2 square pyramid, corners with three ONa3Bi2 trigonal bipyramids, edges with seven ONa5Bi octahedra, and an edgeedge with one ONa4Bi square pyramid. The corner-sharing octahedra tilt angles range from 4–11°. In the sixth O2- site, O2- is bonded to three Na1+ and two Bi4+ atoms to form ONa3Bi2 trigonal bipyramids that share corners with three ONa5Bi octahedra, corners with four ONa3Bi2 square pyramids, a cornercorner with one ONa3Bi2 trigonal bipyramid, edges with five OBi6 octahedra, an edgeedge with one ONa3Bi2 square pyramid, and an edgeedge with one ONa3Bi2 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 12–37°. In the seventh O2- site, O2- is bonded to three Na1+ and two Bi4+ atoms to form distorted ONa3Bi2 trigonal bipyramids that share corners with five OBi6 octahedra, corners with three ONa3Bi2 square pyramids, edges with six OBi6 octahedra, and an edgeedge with one ONa3Bi2 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 10–36°. In the eighth O2- site, O2- is bonded to six Bi4+ atoms to form distorted OBi6 octahedra that share corners with three ONa5Bi octahedra, a cornercorner with one ONa4Bi square pyramid, a cornercorner with one ONa3Bi2 trigonal bipyramid, edges with seven OBi6 octahedra, edges with three ONa3Bi2 square pyramids, and edges with two ONa3Bi2 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 4–6°. In the ninth O2- site, O2- is bonded to five Na1+ and one Bi4+ atom to form ONa5Bi octahedra that share corners with five OBi6 octahedra, a cornercorner with one ONa2Bi3 square pyramid, a cornercorner with one ONa3Bi2 trigonal bipyramid, edges with seven ONa5Bi octahedra, edges with two ONa3Bi2 square pyramids, and an edgeedge with one ONa3Bi2 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 0–12°. In the tenth O2- site, O2- is bonded to three Na1+ and two Bi4+ atoms to form distorted ONa3Bi2 square pyramids that share corners with three ONa4Bi2 octahedra, corners with three ONa3Bi2 square pyramids, corners with two ONa3Bi2 trigonal bipyramids, edges with seven OBi6 octahedra, and an edgeedge with one ONa3Bi2 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 10–20°. In the eleventh O2- site, O2- is bonded to five Na1+ and one Bi4+ atom to form ONa5Bi octahedra that share corners with two OBi6 octahedra, corners with two ONa2Bi3 square pyramids, a cornercorner with one ONa3Bi2 trigonal bipyramid, edges with eight ONa5Bi octahedra, edges with three ONa3Bi2 square pyramids, and an edgeedge with one ONa3Bi2 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 0–5°. In the twelfth O2- site, O2- is bonded to two equivalent Na1+ and three Bi4+ atoms to form distorted ONa2Bi3 square pyramids that share corners with six ONa5Bi octahedra, a cornercorner with one ONa3Bi2 square pyramid, corners with two ONa3Bi2 trigonal bipyramids, edges with seven OBi6 octahedra, and an edgeedge with one ONa2Bi3 square pyramid. The corner-sharing octahedra tilt angles range from 3–91°. In the thirteenth O2- site, O2- is bonded to three Na1+ and three Bi4+ atoms to form distorted ONa3Bi3 octahedra that share corners with two ONa3Bi3 octahedra, corners with two ONa2Bi3 square pyramids, corners with two ONa3Bi2 trigonal bipyramids, edges with nine OBi6 octahedra, edges with two ONa3Bi2 square pyramids, and an edgeedge with one ONa3Bi2 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 0–20°. In the fourteenth O2- site, O2- is bonded to four Na1+ and two Bi4+ atoms to form ONa4Bi2 octahedra that share corners with four OBi6 octahedra, corners with two ONa3Bi2 square pyramids, edges with seven OBi6 octahedra, edges with three ONa3Bi2 square pyramids, and edges with two equivalent ONa3Bi2 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 2–19°.

36 MATERIALS SCIENCE↗

Materials Data on Li4Mn2Co5O12 by Materials Project

Li4Mn2Co5O12 crystallizes in the monoclinic P2_1 space group. The structure is three-dimensional. there are four inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with two MnO6 octahedra, corners with three CoO6 octahedra, edges with two MnO6 octahedra, edges with three LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 2–13°. There are a spread of Li–O bond distances ranging from 2.00–2.34 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with two MnO6 octahedra, corners with three CoO6 octahedra, edges with two LiO6 octahedra, edges with two MnO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 3–15°. There are a spread of Li–O bond distances ranging from 2.06–2.25 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two CoO6 octahedra, corners with three LiO6 octahedra, edges with three LiO6 octahedra, edges with three equivalent MnO6 octahedra, and edges with five CoO6 octahedra. The corner-sharing octahedra tilt angles range from 4–13°. There are a spread of Li–O bond distances ranging from 2.03–2.19 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with two MnO6 octahedra, corners with three CoO6 octahedra, edges with two MnO6 octahedra, edges with four LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 2–13°. There are a spread of Li–O bond distances ranging from 1.99–2.32 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 two CoO6 octahedra, corners with three LiO6 octahedra, edges with five CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–15°. There are a spread of Mn–O bond distances ranging from 1.93–2.00 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 two CoO6 octahedra, corners with three LiO6 octahedra, edges with three LiO6 octahedra, and edges with eight CoO6 octahedra. The corner-sharing octahedra tilt angles range from 2–13°. There are a spread of Mn–O bond distances ranging from 1.90–1.99 Å. There are five inequivalent Co+2.20+ sites. In the first Co+2.20+ site, Co+2.20+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with two CoO6 octahedra, corners with three LiO6 octahedra, edges with three LiO6 octahedra, edges with three equivalent MnO6 octahedra, and edges with five CoO6 octahedra. The corner-sharing octahedra tilt angles range from 5–15°. There are a spread of Co–O bond distances ranging from 1.97–2.10 Å. In the second Co+2.20+ site, Co+2.20+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with two CoO6 octahedra, corners with three LiO6 octahedra, edges with two CoO6 octahedra, edges with three equivalent MnO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–13°. There are a spread of Co–O bond distances ranging from 1.91–2.01 Å. In the third Co+2.20+ site, Co+2.20+ is bonded to six O2- atoms to form CoO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with two MnO6 octahedra, corners with three CoO6 octahedra, edges with two 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 2.02–2.17 Å. In the fourth Co+2.20+ site, Co+2.20+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with two CoO6 octahedra, corners with three LiO6 octahedra, edges with three LiO6 octahedra, edges with three equivalent MnO6 octahedra, and edges with five CoO6 octahedra. The corner-sharing octahedra tilt angles range from 7–13°. There are a spread of Co–O bond distances ranging from 2.03–2.16 Å. In the fifth Co+2.20+ site, Co+2.20+ is bonded to six O2- atoms to form CoO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with two MnO6 octahedra, corners with three CoO6 octahedra, edges with two MnO6 octahedra, edges with three CoO6 octahedra, and edges with five LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–15°. There are a spread of Co–O bond distances ranging from 2.03–2.20 Å. There are twelve inequivalent O2- sites. In the first O2- site, O2- is bonded to two Li1+, one Mn+4.50+, and two Co+2.20+ atoms to form OLi2MnCo2 square pyramids that share corners with three OLi3MnCo2 octahedra, corners with six OLiMnCo3 square pyramids, edges with six OLi3MnCo2 octahedra, and edges with two OLi2MnCo2 square pyramids. The corner-sharing octahedra tilt angles range from 1–10°. In the second O2- site, O2- is bonded to one Li1+, one Mn+4.50+, and three Co+2.20+ atoms to form OLiMnCo3 square pyramids that share corners with three OLi2MnCo3 octahedra, corners with six OLiMnCo3 square pyramids, edges with six OLi2MnCo3 octahedra, and edges with two OLiMnCo3 square pyramids. The corner-sharing octahedra tilt angles range from 4–11°. In the third O2- site, O2- is bonded to two Li1+, one Mn+4.50+, and two Co+2.20+ atoms to form OLi2MnCo2 square pyramids that share corners with three OLi3MnCo2 octahedra, corners with six OLiMnCo3 square pyramids, edges with six OLi2MnCo3 octahedra, and edges with two OLi2MnCo2 square pyramids. The corner-sharing octahedra tilt angles range from 4–10°. In the fourth O2- site, O2- is bonded to one Li1+, one Mn+4.50+, and three Co+2.20+ atoms to form OLiMnCo3 square pyramids that share corners with three OLi2MnCo3 octahedra, corners with six OLiMnCo3 square pyramids, edges with six OLi2MnCo3 octahedra, and edges with two OLiMnCo3 square pyramids. The corner-sharing octahedra tilt angles range from 2–8°. In the fifth O2- site, O2- is bonded to two Li1+, one Mn+4.50+, and three Co+2.20+ atoms to form OLi2MnCo3 octahedra that share corners with three OLi3MnCo2 octahedra, corners with three OLi2MnCo2 square pyramids, edges with six OLi3MnCo2 octahedra, and edges with six OLiMnCo3 square pyramids. The corner-sharing octahedra tilt angles range from 2–7°. In the sixth O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two Co+2.20+ atoms to form OLi3MnCo2 octahedra that share corners with three OLi2MnCo3 octahedra, corners with three OLiMnCo3 square pyramids, edges with six OLi2MnCo3 octahedra, and edges with six OLi2MnCo2 square pyramids. The corner-sharing octahedra tilt angles range from 3–7°. In the seventh O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two Co+2.20+ atoms to form OLi3MnCo2 octahedra that share corners with three OLi3MnCo2 octahedra, corners with three OLi2MnCo2 square pyramids, edges with seven OLi2MnCo3 octahedra, and edges with five OLi2MnCo2 square pyramids. The corner-sharing octahedra tilt angles range from 5–10°. In the eighth O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two Co+2.20+ atoms to form OLi3MnCo2 octahedra that share corners with three OLi2MnCo3 octahedra, corners with three OLiMnCo3 square pyramids, edges with six OLi3MnCo2 octahedra, and edges with six OLi2MnCo2 square pyramids. The corner-sharing octahedra tilt angles range from 5–7°. In the ninth O2- site, O2- is bonded to two Li1+, one Mn+4.50+, and three Co+2.20+ atoms to form OLi2MnCo3 octahedra that share corners with three OLi2MnCo3 octahedra, corners with three OLiMnCo3 square pyramids, edges with seven OLi2MnCo3 octahedra, and edges with five OLiMnCo3 square pyramids. The corner-sharing octahedra tilt angles range from 2–10°. In the tenth O2- site, O2- is bonded to two Li1+, one Mn+4.50+, and three Co+2.20+ atoms to form OLi2MnCo3 octahedra that share corners with three OLi3MnCo2 octahedra, corners with three OLi2MnCo2 square pyramids, edges with six OLi2MnCo3 octahedra, and edges with six OLiMnCo3 square pyramids. The corner-sharing octahedra tilt angles range from 2–5°. In the eleventh O2- site, O2- is bonded to one Li1+, one Mn+4.50+, and three Co+2.20+ atoms to form OLiMnCo3 square pyramids that share corners with three OLi3MnCo2 octahedra, corners with six OLi2MnCo2 square pyramids, edges with five OLi2MnCo3 octahedra, and edges with three OLi2MnCo2 square pyramids. The corner-sharing octahedra tilt angles range from 5–8°. In the twelfth O2- site, O2- is bonded to two Li1+, one Mn+4.50+, and two Co+2.20+ atoms to form OLi2MnCo2 square pyramids that share corners with three OLi2MnCo3 octahedra, corners with six OLi2MnCo2 square pyramids, edges with five OLi3MnCo2 octahedra, and edges with three OLiMnCo3 square pyramids. The corner-sharing octahedra tilt angles range from 4–5°.

36 MATERIALS SCIENCE↗