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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 equivalent MnO6 octahedra, corners with three equivalent CoO6 octahedra, edges with three MnO6 octahedra, edges with three CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–8°. There are a spread of Li–O bond distances ranging from 2.08–2.17 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 5–7°. There are a spread of Li–O bond distances ranging from 2.07–2.23 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six CoO6 octahedra, edges with four CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–9°. There are a spread of Li–O bond distances ranging from 2.09–2.33 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three equivalent LiO6 octahedra, corners with three equivalent MnO6 octahedra, an edgeedge with one MnO6 octahedra, edges with four CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–12°. There are a spread of Li–O bond distances ranging from 1.98–2.28 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 MnO6 octahedra, edges with three CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–8°. There are a spread of Li–O bond distances ranging from 2.07–2.18 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 3–8°. There are a spread of Li–O bond distances ranging from 2.11–2.19 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 7–13°. There are a spread of Li–O bond distances ranging from 2.00–2.33 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six CoO6 octahedra, edges with two equivalent MnO6 octahedra, edges with two CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–10°. There are a spread of Li–O bond distances ranging from 2.07–2.28 Å. In the ninth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with four equivalent CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–13°. There are a spread of Li–O bond distances ranging from 2.01–2.21 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 four equivalent CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–9°. There are a spread of Mn–O bond distances ranging from 1.95–2.20 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 equivalent 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 1.96–2.23 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 3–9°. There are a spread of Co–O bond distances ranging from 1.92–2.21 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 equivalent MnO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–10°. There are a spread of Co–O bond distances ranging from 1.93–2.20 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 CoO6 octahedra, edges with four equivalent MnO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–8°. There are a spread of Co–O bond distances ranging from 1.93–2.20 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 5–10°. There are a spread of Co–O bond distances ranging from 1.97–2.11 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 CoO6 octahedra, and edges with ten LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–9°. There are a spread of Co–O bond distances ranging from 1.79–2.01 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 OLi3MnCo2 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 0–2°. In the second 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 0–3°. 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 OLi4Co2 octahedra and edges with twelve OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 0–8°. In the fourth O2- site, O2- is bonded to five Li1+ and one Co+2.80+ atom to form OLi5Co octahedra that share corners with six OLi3Mn2Co octahedra and edges with twelve OLi5Co octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the fifth 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 sixth 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 seventh 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 eighth O2- site, O2- is bonded to four Li1+ and two equivalent Co+2.80+ atoms to form OLi4Co2 octahedra that share corners with six OLi4Co2 octahedra and edges with twelve OLi5Co octahedra. The corner-sharing octahedra tilt angles range from 0–9°. In the ninth 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 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 1–3°. In the eleventh 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 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 1–7°. In the thirteenth 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 0–2°. In the fourteenth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form OLi3Co3 octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 0–2°. In the fifteenth O2- site, O2- is bonded to five Li1+ and one Co+2.80+ atom to form OLi5Co octahedra that share corners with six OLi5Co octahedra and edges with twelve OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the sixteenth 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 0–9°.

36 MATERIALS SCIENCE↗

Materials Data on Ba4Dy2Cu6NiO15 by Materials Project

Ba4Dy2NiCu6O15 crystallizes in the orthorhombic Amm2 space group. The structure is three-dimensional. there are four inequivalent Ba2+ sites. In the first Ba2+ site, Ba2+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of Ba–O bond distances ranging from 2.77–3.02 Å. In the second Ba2+ site, Ba2+ is bonded in a distorted q6 geometry to ten O2- atoms. There are a spread of Ba–O bond distances ranging from 2.77–3.00 Å. In the third Ba2+ site, Ba2+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of Ba–O bond distances ranging from 2.77–3.03 Å. In the fourth Ba2+ site, Ba2+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of Ba–O bond distances ranging from 2.77–3.04 Å. There are two inequivalent Dy3+ sites. In the first Dy3+ site, Dy3+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Dy–O bond distances ranging from 2.40–2.43 Å. In the second Dy3+ site, Dy3+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Dy–O bond distances ranging from 2.37–2.46 Å. Ni4+ is bonded to five O2- atoms to form corner-sharing NiO5 square pyramids. There are a spread of Ni–O bond distances ranging from 1.99–2.09 Å. There are six inequivalent Cu2+ sites. In the first Cu2+ site, Cu2+ is bonded in a square co-planar geometry to four O2- atoms. There are a spread of Cu–O bond distances ranging from 1.88–1.96 Å. In the second Cu2+ site, Cu2+ is bonded in a square co-planar geometry to four O2- atoms. There are a spread of Cu–O bond distances ranging from 1.84–1.95 Å. In the third Cu2+ site, Cu2+ is bonded in a square co-planar geometry to four O2- atoms. There are a spread of Cu–O bond distances ranging from 1.84–1.95 Å. In the fourth Cu2+ site, Cu2+ is bonded to five O2- atoms to form corner-sharing CuO5 square pyramids. There are four shorter (1.97 Å) and one longer (2.26 Å) Cu–O bond lengths. In the fifth Cu2+ site, Cu2+ is bonded to five O2- atoms to form corner-sharing CuO5 square pyramids. There are a spread of Cu–O bond distances ranging from 1.96–2.25 Å. In the sixth Cu2+ site, Cu2+ is bonded to five O2- atoms to form corner-sharing CuO5 square pyramids. There are a spread of Cu–O bond distances ranging from 1.96–2.28 Å. There are fifteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Ba2+, two equivalent Dy3+, and two equivalent Cu2+ atoms. In the second O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Ba2+, two equivalent Dy3+, and two equivalent Cu2+ atoms. In the third O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Ba2+, two equivalent Dy3+, and two equivalent Cu2+ atoms. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Ba2+, two equivalent Dy3+, and two equivalent Ni4+ atoms. In the fifth O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Ba2+, two equivalent Dy3+, and two equivalent Cu2+ atoms. In the sixth O2- site, O2- is bonded in a 6-coordinate geometry to two equivalent Ba2+, two equivalent Dy3+, and two equivalent Cu2+ atoms. In the seventh O2- site, O2- is bonded to four equivalent Ba2+ and two Cu2+ atoms to form a mixture of distorted edge and corner-sharing OBa4Cu2 octahedra. The corner-sharing octahedral tilt angles are 10°. In the eighth O2- site, O2- is bonded to four equivalent Ba2+ and two Cu2+ atoms to form a mixture of distorted edge and corner-sharing OBa4Cu2 octahedra. The corner-sharing octahedral tilt angles are 11°. In the ninth O2- site, O2- is bonded to four equivalent Ba2+ and two Cu2+ atoms to form a mixture of distorted edge and corner-sharing OBa4Cu2 octahedra. The corner-sharing octahedra tilt angles range from 0–11°. In the tenth O2- site, O2- is bonded to four equivalent Ba2+, one Ni4+, and one Cu2+ atom to form distorted OBa4CuNi octahedra that share corners with five OBa4Cu2 octahedra and edges with four equivalent OBa4CuNi octahedra. The corner-sharing octahedra tilt angles range from 0–8°. In the eleventh O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Ba2+, two equivalent Dy3+, and two equivalent Cu2+ atoms. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Ba2+, two equivalent Dy3+, and two equivalent Ni4+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted T-shaped geometry to two equivalent Ba2+ and three Cu2+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted T-shaped geometry to two equivalent Ba2+ and three Cu2+ atoms. In the fifteenth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two equivalent Cu2+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on BaMn2Fe4O11 by Materials Project

BaMn2Fe4O11 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 to twelve O2- atoms to form BaO12 cuboctahedra that share corners with six equivalent BaO12 cuboctahedra, edges with two FeO6 octahedra, edges with four MnO6 octahedra, edges with three equivalent FeO5 trigonal bipyramids, and faces with six FeO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.82–2.96 Å. In the second Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with six equivalent BaO12 cuboctahedra, edges with two FeO6 octahedra, edges with four MnO6 octahedra, edges with three equivalent FeO5 trigonal bipyramids, and faces with six FeO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.82–2.96 Å. There are four 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 four FeO6 octahedra, corners with two FeO5 trigonal bipyramids, edges with two BaO12 cuboctahedra, edges with two equivalent MnO6 octahedra, and edges with two equivalent FeO6 octahedra. The corner-sharing octahedra tilt angles range from 52–54°. 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 four FeO6 octahedra, corners with two FeO5 trigonal bipyramids, edges with two BaO12 cuboctahedra, edges with two equivalent MnO6 octahedra, and edges with two equivalent FeO6 octahedra. The corner-sharing octahedra tilt angles range from 51–54°. There are a spread of Mn–O bond distances ranging from 1.93–1.99 Å. In the third Mn+4.50+ site, Mn+4.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with four FeO6 octahedra, corners with two FeO5 trigonal bipyramids, edges with two BaO12 cuboctahedra, edges with two equivalent MnO6 octahedra, and edges with two equivalent FeO6 octahedra. The corner-sharing octahedra tilt angles range from 52–54°. There are a spread of Mn–O bond distances ranging from 1.93–2.00 Å. In the fourth Mn+4.50+ site, Mn+4.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with four FeO6 octahedra, corners with two FeO5 trigonal bipyramids, edges with two BaO12 cuboctahedra, edges with two equivalent MnO6 octahedra, and edges with two equivalent FeO6 octahedra. The corner-sharing octahedra tilt angles range from 52–54°. There are a spread of Mn–O bond distances ranging from 1.93–1.99 Å. There are eight inequivalent Fe+2.75+ sites. In the first Fe+2.75+ site, Fe+2.75+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with four MnO6 octahedra, corners with three equivalent FeO5 trigonal bipyramids, faces with three equivalent BaO12 cuboctahedra, and a faceface with one FeO6 octahedra. The corner-sharing octahedra tilt angles range from 52–56°. There are a spread of Fe–O bond distances ranging from 1.98–2.13 Å. In the second Fe+2.75+ site, Fe+2.75+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with four MnO6 octahedra, corners with three equivalent FeO5 trigonal bipyramids, faces with three equivalent BaO12 cuboctahedra, and a faceface with one FeO6 octahedra. The corner-sharing octahedra tilt angles range from 51–55°. There are a spread of Fe–O bond distances ranging from 1.99–2.10 Å. In the third Fe+2.75+ site, Fe+2.75+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with four MnO6 octahedra, corners with three equivalent FeO5 trigonal bipyramids, faces with three equivalent BaO12 cuboctahedra, and a faceface with one FeO6 octahedra. The corner-sharing octahedra tilt angles range from 52–56°. There are a spread of Fe–O bond distances ranging from 1.98–2.13 Å. In the fourth Fe+2.75+ site, Fe+2.75+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with four MnO6 octahedra, corners with three equivalent FeO5 trigonal bipyramids, faces with three equivalent BaO12 cuboctahedra, and a faceface with one FeO6 octahedra. The corner-sharing octahedra tilt angles range from 52–55°. There are a spread of Fe–O bond distances ranging from 1.99–2.11 Å. In the fifth Fe+2.75+ site, Fe+2.75+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with four FeO6 octahedra, corners with two FeO5 trigonal bipyramids, edges with two BaO12 cuboctahedra, and edges with four MnO6 octahedra. The corner-sharing octahedra tilt angles range from 55–56°. There are a spread of Fe–O bond distances ranging from 2.01–2.08 Å. In the sixth Fe+2.75+ site, Fe+2.75+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with four FeO6 octahedra, corners with two FeO5 trigonal bipyramids, edges with two BaO12 cuboctahedra, and edges with four MnO6 octahedra. The corner-sharing octahedra tilt angles range from 55–56°. There are a spread of Fe–O bond distances ranging from 2.01–2.09 Å. In the seventh Fe+2.75+ site, Fe+2.75+ is bonded to five O2- atoms to form distorted FeO5 trigonal bipyramids that share corners with four MnO6 octahedra, corners with eight FeO6 octahedra, and edges with three equivalent BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 34–62°. There are a spread of Fe–O bond distances ranging from 1.88–2.62 Å. In the eighth Fe+2.75+ site, Fe+2.75+ is bonded to five O2- atoms to form distorted FeO5 trigonal bipyramids that share corners with four MnO6 octahedra, corners with eight FeO6 octahedra, and edges with three equivalent BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 34–62°. There are a spread of Fe–O bond distances ranging from 1.88–2.63 Å. There are twenty-two inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to one Ba2+, two Mn+4.50+, and one Fe+2.75+ atom. In the second O2- site, O2- is bonded in a 3-coordinate geometry to one Ba2+, one Mn+4.50+, and two Fe+2.75+ atoms. In the third O2- site, O2- is bonded in a 3-coordinate geometry to one Ba2+, one Mn+4.50+, and two Fe+2.75+ atoms. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Ba2+, two Mn+4.50+, and one Fe+2.75+ atom. In the fifth O2- site, O2- is bonded in a 3-coordinate geometry to one Ba2+, one Mn+4.50+, and two Fe+2.75+ atoms. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to one Ba2+, one Mn+4.50+, and two Fe+2.75+ atoms. In the seventh O2- site, O2- is bonded in a 3-coordinate geometry to one Ba2+, one Mn+4.50+, and two Fe+2.75+ atoms. In the eighth O2- site, O2- is bonded in a 3-coordinate geometry to one Ba2+, two Mn+4.50+, and one Fe+2.75+ atom. In the ninth O2- site, O2- is bonded in a 3-coordinate geometry to one Ba2+, one Mn+4.50+, and two Fe+2.75+ atoms. In the tenth O2- site, O2- is bonded in a 3-coordinate geometry to one Ba2+, one Mn+4.50+, and two Fe+2.75+ atoms. In the eleventh O2- site, O2- is bonded in a 3-coordinate geometry to one Ba2+, two Mn+4.50+, and one Fe+2.75+ atom. In the twelfth O2- site, O2- is bonded in a 3-coordinate geometry to one Ba2+, one Mn+4.50+, and two Fe+2.75+ atoms. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Mn+4.50+ and two Fe+2.75+ atoms. In the fourteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Mn+4.50+ and two Fe+2.75+ atoms. In the fifteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Mn+4.50+ and two Fe+2.75+ atoms. In the sixteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Mn+4.50+ and two Fe+2.75+ atoms. In the seventeenth O2- site, O2- is bonded in a 5-coordinate geometry to two equivalent Ba2+ and three Fe+2.75+ atoms. In the eighteenth O2- site, O2- is bonded in a 5-coordinate geometry to two equivalent Ba2+ and three Fe+2.75+ atoms. In the nineteenth O2- site, O2- is bonded in a 5-coordinate geometry to two equivalent Ba2+ and three Fe+2.75+ atoms. In the twentieth O2- site, O2- is bonded in a 5-coordinate geometry to two equivalent Ba2+ and three Fe+2.75+ atoms. In the twenty-first O2- site, O2- is bonded in a 5-coordinate geometry to two equivalent Ba2+ and three Fe+2.75+ atoms. In the twenty-second O2- site, O2- is bonded in a 5-coordinate geometry to two equivalent Ba2+ and three Fe+2.75+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Ba4Ti3PtO12 by Materials Project

Ba4Ti3PtO12 is (Cubic) Perovskite-derived structured and crystallizes in the trigonal P3m1 space group. The structure is three-dimensional. there are twelve inequivalent Ba2+ sites. In the first Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with nine BaO12 cuboctahedra, corners with three equivalent TiO6 octahedra, faces with seven BaO12 cuboctahedra, faces with three equivalent TiO6 octahedra, and faces with four PtO6 octahedra. The corner-sharing octahedral tilt angles are 13°. There are a spread of Ba–O bond distances ranging from 2.90–2.99 Å. In the second Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with nine BaO12 cuboctahedra, corners with three equivalent TiO6 octahedra, faces with seven BaO12 cuboctahedra, a faceface with one PtO6 octahedra, and faces with six TiO6 octahedra. The corner-sharing octahedral tilt angles are 9°. There are nine shorter (2.90 Å) and three longer (2.98 Å) Ba–O bond lengths. In the third Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with nine BaO12 cuboctahedra, corners with three equivalent TiO6 octahedra, faces with seven BaO12 cuboctahedra, faces with three equivalent TiO6 octahedra, and faces with four PtO6 octahedra. The corner-sharing octahedral tilt angles are 9°. There are a spread of Ba–O bond distances ranging from 2.90–2.97 Å. In the fourth Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with nine BaO12 cuboctahedra, corners with three equivalent TiO6 octahedra, faces with seven BaO12 cuboctahedra, faces with three equivalent PtO6 octahedra, and faces with four TiO6 octahedra. The corner-sharing octahedral tilt angles are 9°. There are a spread of Ba–O bond distances ranging from 2.90–2.99 Å. In the fifth Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with nine BaO12 cuboctahedra, corners with three equivalent PtO6 octahedra, faces with seven BaO12 cuboctahedra, and faces with seven TiO6 octahedra. The corner-sharing octahedral tilt angles are 9°. There are a spread of Ba–O bond distances ranging from 2.85–2.98 Å. In the sixth Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with nine BaO12 cuboctahedra, corners with three equivalent PtO6 octahedra, faces with seven BaO12 cuboctahedra, and faces with seven TiO6 octahedra. The corner-sharing octahedral tilt angles are 9°. There are a spread of Ba–O bond distances ranging from 2.85–2.97 Å. In the seventh Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with nine BaO12 cuboctahedra, corners with three equivalent PtO6 octahedra, faces with seven BaO12 cuboctahedra, and faces with seven TiO6 octahedra. The corner-sharing octahedral tilt angles are 8°. There are a spread of Ba–O bond distances ranging from 2.79–3.01 Å. In the eighth Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with nine BaO12 cuboctahedra, corners with three equivalent TiO6 octahedra, faces with seven BaO12 cuboctahedra, and faces with seven TiO6 octahedra. The corner-sharing octahedral tilt angles are 6°. There are a spread of Ba–O bond distances ranging from 2.85–3.02 Å. In the ninth Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with twelve BaO12 cuboctahedra, faces with six BaO12 cuboctahedra, faces with three equivalent PtO6 octahedra, and faces with five TiO6 octahedra. There are nine shorter (2.90 Å) and three longer (2.97 Å) Ba–O bond lengths. In the tenth Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with twelve BaO12 cuboctahedra, faces with six BaO12 cuboctahedra, faces with three equivalent PtO6 octahedra, and faces with five TiO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.90–2.97 Å. In the eleventh Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with twelve BaO12 cuboctahedra, faces with six BaO12 cuboctahedra, faces with three equivalent PtO6 octahedra, and faces with five TiO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.84–3.03 Å. In the twelfth Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with twelve BaO12 cuboctahedra, faces with six BaO12 cuboctahedra, and faces with eight TiO6 octahedra. There are nine shorter (2.90 Å) and three longer (2.94 Å) Ba–O bond lengths. There are nine inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with three equivalent BaO12 cuboctahedra, corners with three equivalent TiO6 octahedra, faces with seven BaO12 cuboctahedra, and a faceface with one TiO6 octahedra. The corner-sharing octahedral tilt angles are 5°. There are three shorter (1.95 Å) and three longer (2.05 Å) Ti–O bond lengths. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with three equivalent BaO12 cuboctahedra, corners with three equivalent TiO6 octahedra, faces with seven BaO12 cuboctahedra, and a faceface with one PtO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are three shorter (2.00 Å) and three longer (2.01 Å) Ti–O bond lengths. In the third Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with three equivalent BaO12 cuboctahedra, corners with three equivalent TiO6 octahedra, faces with seven BaO12 cuboctahedra, and a faceface with one TiO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There is three shorter (1.97 Å) and three longer (2.02 Å) Ti–O bond length. In the fourth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with three equivalent BaO12 cuboctahedra, corners with three equivalent TiO6 octahedra, faces with seven BaO12 cuboctahedra, and a faceface with one PtO6 octahedra. The corner-sharing octahedral tilt angles are 5°. There are three shorter (1.93 Å) and three longer (2.07 Å) Ti–O bond lengths. In the fifth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with three equivalent BaO12 cuboctahedra, corners with three equivalent TiO6 octahedra, faces with seven BaO12 cuboctahedra, and a faceface with one PtO6 octahedra. The corner-sharing octahedral tilt angles are 5°. There are three shorter (1.94 Å) and three longer (2.07 Å) Ti–O bond lengths. In the sixth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six PtO6 octahedra and faces with eight BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 1–2°. There is three shorter (1.95 Å) and three longer (2.02 Å) Ti–O bond length. In the seventh Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with three equivalent TiO6 octahedra, corners with three equivalent PtO6 octahedra, and faces with eight BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 1–5°. There are three shorter (1.95 Å) and three longer (2.05 Å) Ti–O bond lengths. In the eighth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six TiO6 octahedra and faces with eight BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–5°. There are three shorter (1.97 Å) and three longer (2.05 Å) Ti–O bond lengths. In the ninth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six TiO6 octahedra and faces with eight BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–5°. There are three shorter (1.98 Å) and three longer (2.04 Å) Ti–O bond lengths. There are three inequivalent Pt4+ sites. In the first Pt4+ site, Pt4+ is bonded to six O2- atoms to form PtO6 octahedra that share corners with three equivalent BaO12 cuboctahedra, corners with three equivalent TiO6 octahedra, faces with seven BaO12 cuboctahedra, and a faceface with one TiO6 octahedra. The corner-sharing octahedral tilt angles are 1°. There are three shorter (2.01 Å) and three longer (2.07 Å) Pt–O bond lengths. In the second Pt4+ site, Pt4+ is bonded to six O2- atoms to form PtO6 octahedra that share corners with three equivalent BaO12 cuboctahedra, corners with three equivalent TiO6 octahedra, faces with seven BaO12 cuboctahedra, and a faceface with one TiO6 octahedra. The corner-sharing octahedral tilt angles are 1°. There are three shorter (2.02 Å) and three longer (2.07 Å) Pt–O bond lengths. In the third Pt4+ site, Pt4+ is bonded to six O2- atoms to form PtO6 octahedra that share corners with three equivalent BaO12 cuboctahedra, corners with three equivalent TiO6 octahedra, faces with seven BaO12 cuboctahedra, and a faceface with one TiO6 octahedra. The corner-sharing octahedral tilt angles are 2°. There are three shorter (2.04 Å) and three longer (2.05 Å) Pt–O bond lengths. There are twelve inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted linear geometry to four Ba2+, one Ti4+, and one Pt4+ atom. In the second O2- site, O2- is bonded in a distorted linear geometry to four Ba2+, one Ti4+, and one Pt4+ atom. In the third O2- site, O2- is bonded in a distorted linear geometry to four Ba2+, one Ti4+, and one Pt4+ atom. In the fourth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two Ti4+ atoms. In the fifth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two Ti4+ atoms. In the sixth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two Ti4+ atoms. In the seventh O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two Ti4+ atoms. In the eighth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two Ti4+ atoms. In the ninth O2- site, O2- is bonded to four Ba2+, one Ti4+, and one Pt4+ atom to form a mixture of distorted corner and face-sharing OBa4TiPt octahedra. The corner-sharing octahedra tilt angles range from 7–60°. In the tenth O2- site, O2- is bonded to four Ba2+, one Ti4+, and one Pt4+ atom to form a mixture of distorted corner and face-sharing OBa4TiPt octahedra. The corner-sharing octahedra tilt angles range from 7–60°. In the eleventh O2- site, O2- is bonded in a 6-coordinate geometry to four Ba2+, one Ti4+, and one Pt4+ atom. In the twelfth O2- site, O2- is bonded in a 2-coordinate geometry to four Ba2+ and two Ti4+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Mg5Zn by Materials Project

Mg5Zn is beta-derived structured and crystallizes in the trigonal R32 space group. The structure is three-dimensional. there are ten inequivalent Mg sites. In the first Mg site, Mg is bonded to ten Mg and two equivalent Zn atoms to form MgMg10Zn2 cuboctahedra that share corners with eighteen MgMg10Zn2 cuboctahedra, edges with four equivalent ZnMg12 cuboctahedra, edges with fourteen MgMg10Zn2 cuboctahedra, faces with four equivalent ZnMg12 cuboctahedra, and faces with sixteen MgMg10Zn2 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.01–3.24 Å. Both Mg–Zn bond lengths are 3.21 Å. In the second Mg site, Mg is bonded to nine Mg and three equivalent Zn atoms to form distorted MgMg9Zn3 cuboctahedra that share corners with six equivalent ZnMg12 cuboctahedra, corners with twelve MgMg9Zn3 cuboctahedra, edges with eighteen MgMg10Zn2 cuboctahedra, faces with four equivalent ZnMg12 cuboctahedra, and faces with sixteen MgMg10Zn2 cuboctahedra. There are three shorter (3.04 Å) and three longer (3.24 Å) Mg–Mg bond lengths. All Mg–Zn bond lengths are 3.04 Å. In the third Mg site, Mg is bonded to nine Mg and three equivalent Zn atoms to form distorted MgMg9Zn3 cuboctahedra that share corners with six equivalent ZnMg12 cuboctahedra, corners with twelve MgMg9Zn3 cuboctahedra, edges with eighteen MgMg10Zn2 cuboctahedra, faces with four equivalent ZnMg12 cuboctahedra, and faces with sixteen MgMg10Zn2 cuboctahedra. All Mg–Mg bond lengths are 3.21 Å. All Mg–Zn bond lengths are 3.04 Å. In the fourth Mg site, Mg is bonded to ten Mg and two equivalent Zn atoms to form MgMg10Zn2 cuboctahedra that share corners with eighteen MgMg10Zn2 cuboctahedra, edges with four equivalent ZnMg12 cuboctahedra, edges with fourteen MgMg9Zn3 cuboctahedra, faces with four equivalent ZnMg12 cuboctahedra, and faces with sixteen MgMg10Zn2 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.01–3.21 Å. Both Mg–Zn bond lengths are 3.21 Å. In the fifth Mg site, Mg is bonded to nine Mg and three equivalent Zn atoms to form distorted MgMg9Zn3 cuboctahedra that share corners with six equivalent ZnMg12 cuboctahedra, corners with twelve MgMg9Zn3 cuboctahedra, edges with eighteen MgMg10Zn2 cuboctahedra, faces with four equivalent ZnMg12 cuboctahedra, and faces with sixteen MgMg9Zn3 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.04–3.24 Å. All Mg–Zn bond lengths are 3.04 Å. In the sixth Mg site, Mg is bonded to ten Mg and two equivalent Zn atoms to form MgMg10Zn2 cuboctahedra that share corners with eighteen MgMg10Zn2 cuboctahedra, edges with four equivalent ZnMg12 cuboctahedra, edges with fourteen MgMg9Zn3 cuboctahedra, faces with four equivalent ZnMg12 cuboctahedra, and faces with sixteen MgMg10Zn2 cuboctahedra. There are two shorter (3.01 Å) and one longer (3.08 Å) Mg–Mg bond lengths. Both Mg–Zn bond lengths are 3.21 Å. In the seventh Mg site, Mg is bonded to ten Mg and two equivalent Zn atoms to form MgMg10Zn2 cuboctahedra that share corners with eighteen MgMg10Zn2 cuboctahedra, edges with four equivalent ZnMg12 cuboctahedra, edges with fourteen MgMg9Zn3 cuboctahedra, faces with four equivalent ZnMg12 cuboctahedra, and faces with sixteen MgMg10Zn2 cuboctahedra. Both Mg–Zn bond lengths are 3.21 Å. In the eighth Mg site, Mg is bonded to ten Mg and two equivalent Zn atoms to form MgMg10Zn2 cuboctahedra that share corners with eighteen MgMg10Zn2 cuboctahedra, edges with four equivalent ZnMg12 cuboctahedra, edges with fourteen MgMg9Zn3 cuboctahedra, faces with four equivalent ZnMg12 cuboctahedra, and faces with sixteen MgMg10Zn2 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.01–3.24 Å. Both Mg–Zn bond lengths are 3.21 Å. In the ninth Mg site, Mg is bonded to ten Mg and two equivalent Zn atoms to form MgMg10Zn2 cuboctahedra that share corners with eighteen MgMg10Zn2 cuboctahedra, edges with four equivalent ZnMg12 cuboctahedra, edges with fourteen MgMg9Zn3 cuboctahedra, faces with four equivalent ZnMg12 cuboctahedra, and faces with sixteen MgMg10Zn2 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.01–3.24 Å. Both Mg–Zn bond lengths are 3.21 Å. In the tenth Mg site, Mg is bonded to nine Mg and three equivalent Zn atoms to form distorted MgMg9Zn3 cuboctahedra that share corners with six equivalent ZnMg12 cuboctahedra, corners with twelve MgMg9Zn3 cuboctahedra, edges with eighteen MgMg10Zn2 cuboctahedra, faces with four equivalent ZnMg12 cuboctahedra, and faces with sixteen MgMg10Zn2 cuboctahedra. There are three shorter (3.04 Å) and one longer (3.24 Å) Mg–Mg bond lengths. All Mg–Zn bond lengths are 3.04 Å. Zn is bonded to twelve Mg atoms to form ZnMg12 cuboctahedra that share corners with six equivalent ZnMg12 cuboctahedra, corners with twelve MgMg9Zn3 cuboctahedra, edges with six equivalent ZnMg12 cuboctahedra, edges with twelve MgMg10Zn2 cuboctahedra, and faces with twenty MgMg10Zn2 cuboctahedra.

36 MATERIALS SCIENCE↗

Materials Data on HfZn2Ga by Materials Project

HfZn2Ga crystallizes in the trigonal R3m space group. The structure is three-dimensional. Hf is bonded to six equivalent Hf, three equivalent Zn, and three equivalent Ga atoms to form distorted HfHf6Zn3Ga3 cuboctahedra that share corners with six equivalent HfHf6Zn3Ga3 cuboctahedra, corners with six equivalent ZnZn9Ga3 cuboctahedra, edges with six equivalent HfHf6Zn3Ga3 cuboctahedra, edges with six equivalent GaHf3Zn3Ga6 cuboctahedra, edges with twelve ZnHf3Zn9 cuboctahedra, faces with six equivalent HfHf6Zn3Ga3 cuboctahedra, faces with six equivalent ZnHf3Zn9 cuboctahedra, and faces with six equivalent GaHf3Zn3Ga6 cuboctahedra. All Hf–Hf bond lengths are 2.99 Å. All Hf–Zn bond lengths are 2.96 Å. All Hf–Ga bond lengths are 2.96 Å. There are two inequivalent Zn sites. In the first Zn site, Zn is bonded to three equivalent Hf and nine Zn atoms to form distorted ZnHf3Zn9 cuboctahedra that share corners with six equivalent ZnHf3Zn9 cuboctahedra, corners with six equivalent GaHf3Zn3Ga6 cuboctahedra, edges with six equivalent HfHf6Zn3Ga3 cuboctahedra, edges with six equivalent GaHf3Zn3Ga6 cuboctahedra, edges with twelve ZnHf3Zn9 cuboctahedra, faces with six equivalent HfHf6Zn3Ga3 cuboctahedra, and faces with twelve ZnHf3Zn9 cuboctahedra. There are three shorter (2.74 Å) and six longer (2.99 Å) Zn–Zn bond lengths. In the second Zn site, Zn is bonded to nine Zn and three equivalent Ga atoms to form distorted ZnZn9Ga3 cuboctahedra that share corners with six equivalent HfHf6Zn3Ga3 cuboctahedra, corners with six equivalent ZnZn9Ga3 cuboctahedra, edges with six equivalent HfHf6Zn3Ga3 cuboctahedra, edges with six equivalent GaHf3Zn3Ga6 cuboctahedra, edges with twelve ZnHf3Zn9 cuboctahedra, faces with six equivalent GaHf3Zn3Ga6 cuboctahedra, and faces with twelve ZnHf3Zn9 cuboctahedra. All Zn–Zn bond lengths are 2.99 Å. All Zn–Ga bond lengths are 2.84 Å. Ga is bonded to three equivalent Hf, three equivalent Zn, and six equivalent Ga atoms to form distorted GaHf3Zn3Ga6 cuboctahedra that share corners with six equivalent ZnHf3Zn9 cuboctahedra, corners with six equivalent GaHf3Zn3Ga6 cuboctahedra, edges with six equivalent HfHf6Zn3Ga3 cuboctahedra, edges with six equivalent GaHf3Zn3Ga6 cuboctahedra, edges with twelve ZnHf3Zn9 cuboctahedra, faces with six equivalent HfHf6Zn3Ga3 cuboctahedra, faces with six equivalent ZnZn9Ga3 cuboctahedra, and faces with six equivalent GaHf3Zn3Ga6 cuboctahedra. All Ga–Ga bond lengths are 2.99 Å.

36 MATERIALS SCIENCE↗

Materials Data on NaScTiO4 by Materials Project

NaScTiO4 crystallizes in the orthorhombic Pmc2_1 space group. The structure is three-dimensional. there are two inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Na–O bond distances ranging from 2.46–2.66 Å. In the second Na1+ site, Na1+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Na–O bond distances ranging from 2.45–2.72 Å. There are two inequivalent Sc3+ sites. In the first Sc3+ site, Sc3+ is bonded to six O2- atoms to form ScO6 octahedra that share corners with four equivalent TiO6 octahedra, edges with two equivalent ScO6 octahedra, and edges with two equivalent TiO6 octahedra. The corner-sharing octahedra tilt angles range from 50–56°. There are a spread of Sc–O bond distances ranging from 2.10–2.17 Å. In the second Sc3+ site, Sc3+ is bonded to six O2- atoms to form ScO6 octahedra that share corners with four equivalent TiO6 octahedra, edges with two equivalent ScO6 octahedra, and edges with two equivalent TiO6 octahedra. The corner-sharing octahedra tilt angles range from 48–55°. There are a spread of Sc–O bond distances ranging from 2.08–2.16 Å. There are two inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with four equivalent ScO6 octahedra, edges with two equivalent ScO6 octahedra, and edges with two equivalent TiO6 octahedra. The corner-sharing octahedra tilt angles range from 48–55°. There are a spread of Ti–O bond distances ranging from 1.94–2.03 Å. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with four equivalent ScO6 octahedra, edges with two equivalent ScO6 octahedra, and edges with two equivalent TiO6 octahedra. The corner-sharing octahedra tilt angles range from 50–56°. There are a spread of Ti–O bond distances ranging from 1.96–2.03 Å. There are eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to two equivalent Na1+, one Sc3+, and two equivalent Ti4+ atoms. In the second O2- site, O2- is bonded in a 3-coordinate geometry to two equivalent Na1+, two equivalent Sc3+, and one Ti4+ atom. In the third O2- site, O2- is bonded to two equivalent Na1+, one Sc3+, and two equivalent Ti4+ atoms to form distorted ONa2ScTi2 square pyramids that share edges with two equivalent ONa2ScTi2 square pyramids and edges with two equivalent ONa2Sc2Ti trigonal bipyramids. In the fourth O2- site, O2- is bonded to two equivalent Na1+, two equivalent Sc3+, and one Ti4+ atom to form distorted ONa2Sc2Ti trigonal bipyramids that share edges with two equivalent ONa2ScTi2 square pyramids and edges with two equivalent ONa2Sc2Ti trigonal bipyramids. In the fifth O2- site, O2- is bonded in a 5-coordinate geometry to two equivalent Na1+, one Sc3+, and two equivalent Ti4+ atoms. In the sixth O2- site, O2- is bonded in a 5-coordinate geometry to two equivalent Na1+, two equivalent Sc3+, and one Ti4+ atom. In the seventh O2- site, O2- is bonded in a 5-coordinate geometry to two equivalent Na1+, one Sc3+, and two equivalent Ti4+ atoms. In the eighth O2- site, O2- is bonded in a 5-coordinate geometry to two equivalent Na1+, two equivalent Sc3+, and one Ti4+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li7Mn2(CoO4)3 by Materials Project

Li7Mn2(CoO4)3 is Caswellsilverite-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are seven 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 equivalent MnO6 octahedra, corners with three CoO6 octahedra, edges with three equivalent MnO6 octahedra, edges with three equivalent CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–12°. There are a spread of Li–O bond distances ranging from 2.06–2.40 Å. In the second 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 six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 2–7°. There are a spread of Li–O bond distances ranging from 2.09–2.23 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, edges with three equivalent MnO6 octahedra, edges with three equivalent CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–8°. There are a spread of Li–O bond distances ranging from 2.04–2.22 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 equivalent MnO6 octahedra, corners with three CoO6 octahedra, edges with three equivalent MnO6 octahedra, edges with three equivalent CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–11°. There are a spread of Li–O bond distances ranging from 1.99–2.19 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with two MnO6 octahedra, corners with two equivalent CoO6 octahedra, edges with three equivalent CoO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–13°. There are a spread of Li–O bond distances ranging from 2.05–2.19 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with two equivalent MnO6 octahedra, corners with two CoO6 octahedra, edges with three equivalent MnO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–16°. There are a spread of Li–O bond distances ranging from 2.00–2.50 Å. In the seventh 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 8–13°. There are a spread of Li–O bond distances ranging from 2.02–2.31 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 4–16°. There are a spread of Mn–O bond distances ranging from 1.83–2.06 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 1.94–2.19 Å. There are three inequivalent Co+2.67+ sites. In the first Co+2.67+ site, Co+2.67+ 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 5–6°. There are a spread of Co–O bond distances ranging from 1.96–2.14 Å. In the second Co+2.67+ site, Co+2.67+ 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 2–8°. There are a spread of Co–O bond distances ranging from 1.90–2.21 Å. In the third Co+2.67+ site, Co+2.67+ is bonded to six O2- atoms to form distorted CoO6 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 3–10°. There are a spread of Co–O bond distances ranging from 1.73–2.23 Å. There are twelve inequivalent O2- sites. In the first O2- site, O2- is bonded to three Li1+, two equivalent Mn+4.50+, and one Co+2.67+ atom to form OLi3Mn2Co octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 1–8°. In the second O2- site, O2- is bonded to three Li1+ and three Co+2.67+ 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 1–3°. In the third O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two equivalent Co+2.67+ atoms to form OLi3MnCo2 octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–3°. In the fourth O2- site, O2- is bonded to three Li1+, two equivalent Mn+4.50+, and one Co+2.67+ atom to form OLi3Mn2Co octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 1–7°. In the fifth O2- site, O2- is bonded to four Li1+ and two equivalent Co+2.67+ atoms to form a mixture of edge and corner-sharing OLi4Co2 octahedra. The corner-sharing octahedra tilt angles range from 3–10°. In the sixth O2- site, O2- is bonded to five Li1+ and one Mn+4.50+ atom to form OLi5Mn octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 2–16°. In the seventh O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two equivalent Co+2.67+ 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 1–8°. In the eighth O2- site, O2- is bonded to three Li1+ and three Co+2.67+ 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 1–3°. In the ninth O2- site, O2- is bonded to three Li1+, two equivalent Mn+4.50+, and one Co+2.67+ atom to form OLi3Mn2Co octahedra that share corners with six OLi4Co2 octahedra and edges with twelve OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 1–3°. In the tenth O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two equivalent Co+2.67+ atoms to form OLi3MnCo2 octahedra that share corners with six OLi4Co2 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 1–10°. In the eleventh O2- site, O2- is bonded to five Li1+ and one Co+2.67+ atom to form a mixture of edge and corner-sharing OLi5Co octahedra. The corner-sharing octahedra tilt angles range from 2–9°. In the twelfth O2- site, O2- is bonded to four Li1+ and two equivalent Mn+4.50+ atoms to form distorted OLi4Mn2 octahedra that share corners with six OLi4Co2 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 1–16°.

36 MATERIALS SCIENCE↗

Materials Data on LaFeCuNi3 by Materials Project

LaFeNi3Cu crystallizes in the hexagonal P-6m2 space group. The structure is three-dimensional. La is bonded in a 6-coordinate geometry to three equivalent Fe, twelve equivalent Ni, and three equivalent Cu atoms. All La–Fe bond lengths are 2.93 Å. All La–Ni bond lengths are 3.22 Å. All La–Cu bond lengths are 2.93 Å. Fe is bonded to three equivalent La, six equivalent Ni, and three equivalent Cu atoms to form distorted FeLa3Cu3Ni6 cuboctahedra that share corners with nine equivalent CuLa3Fe3Ni6 cuboctahedra, corners with twelve equivalent NiLa4Fe2Cu2Ni4 cuboctahedra, edges with six equivalent FeLa3Cu3Ni6 cuboctahedra, faces with two equivalent FeLa3Cu3Ni6 cuboctahedra, faces with three equivalent CuLa3Fe3Ni6 cuboctahedra, and faces with eighteen equivalent NiLa4Fe2Cu2Ni4 cuboctahedra. All Fe–Ni bond lengths are 2.45 Å. All Fe–Cu bond lengths are 2.93 Å. Ni is bonded to four equivalent La, two equivalent Fe, four equivalent Ni, and two equivalent Cu atoms to form NiLa4Fe2Cu2Ni4 cuboctahedra that share corners with four equivalent FeLa3Cu3Ni6 cuboctahedra, corners with four equivalent CuLa3Fe3Ni6 cuboctahedra, corners with sixteen equivalent NiLa4Fe2Cu2Ni4 cuboctahedra, edges with ten equivalent NiLa4Fe2Cu2Ni4 cuboctahedra, faces with six equivalent FeLa3Cu3Ni6 cuboctahedra, faces with six equivalent CuLa3Fe3Ni6 cuboctahedra, and faces with ten equivalent NiLa4Fe2Cu2Ni4 cuboctahedra. There are two shorter (2.52 Å) and two longer (2.56 Å) Ni–Ni bond lengths. Both Ni–Cu bond lengths are 2.46 Å. Cu is bonded to three equivalent La, three equivalent Fe, and six equivalent Ni atoms to form distorted CuLa3Fe3Ni6 cuboctahedra that share corners with nine equivalent FeLa3Cu3Ni6 cuboctahedra, corners with twelve equivalent NiLa4Fe2Cu2Ni4 cuboctahedra, edges with six equivalent CuLa3Fe3Ni6 cuboctahedra, faces with two equivalent CuLa3Fe3Ni6 cuboctahedra, faces with three equivalent FeLa3Cu3Ni6 cuboctahedra, and faces with eighteen equivalent NiLa4Fe2Cu2Ni4 cuboctahedra.

36 MATERIALS SCIENCE↗

Materials Data on Li4MnCo2O7 by Materials Project

Li4MnCo2O7 is Caswellsilverite-derived structured and crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are eight inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with two equivalent MnO6 octahedra, corners with two CoO6 octahedra, edges with three equivalent MnO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–13°. There are a spread of Li–O bond distances ranging from 2.04–2.26 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with two MnO6 octahedra, corners with two equivalent CoO6 octahedra, edges with three equivalent CoO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–12°. There are a spread of Li–O bond distances ranging from 2.05–2.45 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with two equivalent MnO6 octahedra, corners with three CoO6 octahedra, edges with three equivalent MnO6 octahedra, edges with three equivalent CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–18°. There are a spread of Li–O bond distances ranging from 2.00–2.24 Å. In the fourth 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 equivalent MnO6 octahedra, edges with three equivalent CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–11°. There are a spread of Li–O bond distances ranging from 2.07–2.20 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one MnO6 octahedra, corners with five CoO6 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 Li–O bond distances ranging from 2.08–2.36 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one MnO6 octahedra, corners with five CoO6 octahedra, edges with six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 3–7°. There are a spread of Li–O bond distances ranging from 2.06–2.31 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 two equivalent MnO6 octahedra, corners with three CoO6 octahedra, edges with three equivalent MnO6 octahedra, edges with three equivalent 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 2.05–2.21 Å. In the eighth 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 8–13°. There are a spread of Li–O bond distances ranging from 2.06–2.14 Å. There are two inequivalent Mn2+ sites. In the first Mn2+ site, Mn2+ 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 2–12°. There are a spread of Mn–O bond distances ranging from 1.83–2.11 Å. In the second Mn2+ site, Mn2+ 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 3–9°. There are a spread of Mn–O bond distances ranging from 1.93–1.97 Å. There are four inequivalent Co4+ sites. In the first Co4+ site, Co4+ is bonded to six O2- atoms to form distorted CoO6 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 5–18°. There are a spread of Co–O bond distances ranging from 1.86–2.34 Å. In the second Co4+ site, Co4+ 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 2.01–2.16 Å. In the third Co4+ site, Co4+ 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 3–7°. There are a spread of Co–O bond distances ranging from 2.01–2.12 Å. In the fourth Co4+ site, Co4+ 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 2–9°. There are a spread of Co–O bond distances ranging from 1.95–2.13 Å. There are fourteen inequivalent O2- sites. In the first O2- site, O2- is bonded to three Li1+, two equivalent Mn2+, and one Co4+ atom to form OLi3Mn2Co octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 2–7°. In the second O2- site, O2- is bonded to five Li1+ and one Mn2+ atom to form OLi5Mn octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi5Co octahedra. The corner-sharing octahedra tilt angles range from 3–14°. In the third O2- site, O2- is bonded to four Li1+ and two equivalent Co4+ atoms to form OLi4Co2 octahedra that share corners with six OLi4Mn2 octahedra and edges with twelve OLi5Co octahedra. The corner-sharing octahedra tilt angles range from 2–17°. In the fourth O2- site, O2- is bonded to three Li1+, two equivalent Mn2+, and one Co4+ atom to form distorted OLi3Mn2Co octahedra that share corners with six OLi5Co octahedra and edges with twelve OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 1–12°. In the fifth O2- site, O2- is bonded to three Li1+, one Mn2+, and two equivalent Co4+ atoms to form a mixture of edge and corner-sharing OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 0–8°. In the sixth O2- site, O2- is bonded to three Li1+ and three Co4+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the seventh O2- site, O2- is bonded to three Li1+ and three Co4+ 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 1–4°. In the eighth O2- site, O2- is bonded to five Li1+ and one Co4+ atom to form OLi5Co octahedra that share corners with six OLi3Mn2Co octahedra and edges with twelve OLi5Co octahedra. The corner-sharing octahedra tilt angles range from 2–11°. In the ninth O2- site, O2- is bonded to three Li1+, one Mn2+, and two equivalent Co4+ atoms to form distorted OLi3MnCo2 octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi5Co octahedra. The corner-sharing octahedra tilt angles range from 0–17°. In the tenth O2- site, O2- is bonded to three Li1+, two equivalent Mn2+, and one Co4+ atom to form a mixture of edge and corner-sharing OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 1–8°. In the eleventh O2- site, O2- is bonded to three Li1+ and three Co4+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–6°. In the twelfth O2- site, O2- is bonded to three Li1+ and three Co4+ 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 0–4°. In the thirteenth O2- site, O2- is bonded to three Li1+, one Mn2+, and two equivalent Co4+ atoms to form a mixture of edge and corner-sharing OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the fourteenth O2- site, O2- is bonded to four Li1+ and two equivalent Mn2+ atoms to form OLi4Mn2 octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi5Co octahedra. The corner-sharing octahedra tilt angles range from 2–14°.

36 MATERIALS SCIENCE↗

Materials Data on Mn2GaNi by Materials Project

Mn2NiGa crystallizes in the tetragonal I-4m2 space group. The structure is three-dimensional. there are two inequivalent Mn sites. In the first Mn site, Mn is bonded to four equivalent Mn, four equivalent Ni, and four equivalent Ga atoms to form distorted MnMn4Ga4Ni4 cuboctahedra that share corners with four equivalent MnMn4Ga4Ni4 cuboctahedra, corners with eight equivalent GaMn8Ni4 cuboctahedra, edges with eight equivalent NiMn8Ga4 cuboctahedra, edges with sixteen MnMn4Ga4Ni4 cuboctahedra, faces with four equivalent NiMn8Ga4 cuboctahedra, faces with six equivalent GaMn8Ni4 cuboctahedra, and faces with eight MnMn4Ga4Ni4 cuboctahedra. All Mn–Mn bond lengths are 2.57 Å. All Mn–Ni bond lengths are 2.57 Å. All Mn–Ga bond lengths are 2.69 Å. In the second Mn site, Mn is bonded to four equivalent Mn, four equivalent Ni, and four equivalent Ga atoms to form MnMn4Ga4Ni4 cuboctahedra that share corners with four equivalent MnMn4Ga4Ni4 cuboctahedra, corners with eight equivalent NiMn8Ga4 cuboctahedra, edges with eight equivalent GaMn8Ni4 cuboctahedra, edges with sixteen MnMn4Ga4Ni4 cuboctahedra, faces with four equivalent GaMn8Ni4 cuboctahedra, faces with six equivalent NiMn8Ga4 cuboctahedra, and faces with eight MnMn4Ga4Ni4 cuboctahedra. All Mn–Ni bond lengths are 2.69 Å. All Mn–Ga bond lengths are 2.57 Å. Ni is bonded to eight Mn and four equivalent Ga atoms to form NiMn8Ga4 cuboctahedra that share corners with four equivalent NiMn8Ga4 cuboctahedra, corners with eight equivalent MnMn4Ga4Ni4 cuboctahedra, edges with eight equivalent MnMn4Ga4Ni4 cuboctahedra, edges with eight equivalent NiMn8Ga4 cuboctahedra, edges with eight equivalent GaMn8Ni4 cuboctahedra, faces with four equivalent NiMn8Ga4 cuboctahedra, faces with four equivalent GaMn8Ni4 cuboctahedra, and faces with ten MnMn4Ga4Ni4 cuboctahedra. All Ni–Ga bond lengths are 2.57 Å. Ga is bonded to eight Mn and four equivalent Ni atoms to form GaMn8Ni4 cuboctahedra that share corners with four equivalent GaMn8Ni4 cuboctahedra, corners with eight equivalent MnMn4Ga4Ni4 cuboctahedra, edges with eight equivalent MnMn4Ga4Ni4 cuboctahedra, edges with eight equivalent NiMn8Ga4 cuboctahedra, edges with eight equivalent GaMn8Ni4 cuboctahedra, faces with four equivalent NiMn8Ga4 cuboctahedra, faces with four equivalent GaMn8Ni4 cuboctahedra, and faces with ten MnMn4Ga4Ni4 cuboctahedra.

36 MATERIALS SCIENCE↗

Materials Data on In2SnPb by Materials Project

In2PbSn crystallizes in the tetragonal P4mm space group. The structure is three-dimensional. there are two inequivalent In sites. In the first In site, In is bonded to eight In and four equivalent Sn atoms to form distorted InIn8Sn4 cuboctahedra that share corners with four equivalent InIn8Sn4 cuboctahedra, corners with eight equivalent PbIn4Sn4Pb4 cuboctahedra, edges with eight equivalent InIn8Pb4 cuboctahedra, edges with eight equivalent PbIn4Sn4Pb4 cuboctahedra, edges with eight equivalent SnIn4Sn4Pb4 cuboctahedra, faces with two equivalent PbIn4Sn4Pb4 cuboctahedra, faces with four equivalent SnIn4Sn4Pb4 cuboctahedra, and faces with twelve InIn8Sn4 cuboctahedra. There are four shorter (3.30 Å) and four longer (3.52 Å) In–In bond lengths. All In–Sn bond lengths are 3.51 Å. In the second In site, In is bonded to eight In and four equivalent Pb atoms to form distorted InIn8Pb4 cuboctahedra that share corners with four equivalent InIn8Pb4 cuboctahedra, corners with eight equivalent SnIn4Sn4Pb4 cuboctahedra, edges with eight equivalent InIn8Sn4 cuboctahedra, edges with eight equivalent PbIn4Sn4Pb4 cuboctahedra, edges with eight equivalent SnIn4Sn4Pb4 cuboctahedra, faces with two equivalent SnIn4Sn4Pb4 cuboctahedra, faces with four equivalent PbIn4Sn4Pb4 cuboctahedra, and faces with twelve InIn8Sn4 cuboctahedra. All In–In bond lengths are 3.30 Å. All In–Pb bond lengths are 3.57 Å. Pb is bonded to four equivalent In, four equivalent Pb, and four equivalent Sn atoms to form PbIn4Sn4Pb4 cuboctahedra that share corners with four equivalent PbIn4Sn4Pb4 cuboctahedra, corners with eight equivalent InIn8Sn4 cuboctahedra, edges with eight equivalent SnIn4Sn4Pb4 cuboctahedra, edges with sixteen InIn8Sn4 cuboctahedra, faces with four equivalent SnIn4Sn4Pb4 cuboctahedra, faces with six InIn8Sn4 cuboctahedra, and faces with eight equivalent PbIn4Sn4Pb4 cuboctahedra. All Pb–Pb bond lengths are 3.30 Å. All Pb–Sn bond lengths are 3.54 Å. Sn is bonded to four equivalent In, four equivalent Pb, and four equivalent Sn atoms to form SnIn4Sn4Pb4 cuboctahedra that share corners with four equivalent SnIn4Sn4Pb4 cuboctahedra, corners with eight equivalent InIn8Pb4 cuboctahedra, edges with eight equivalent PbIn4Sn4Pb4 cuboctahedra, edges with sixteen InIn8Sn4 cuboctahedra, faces with four equivalent PbIn4Sn4Pb4 cuboctahedra, faces with six InIn8Sn4 cuboctahedra, and faces with eight equivalent SnIn4Sn4Pb4 cuboctahedra. All Sn–Sn bond lengths are 3.30 Å.

36 MATERIALS SCIENCE↗

Materials Data on Mg5Ge by Materials Project

Mg5Ge crystallizes in the trigonal R32 space group. The structure is three-dimensional. there are ten inequivalent Mg sites. In the first Mg site, Mg is bonded to ten Mg and two equivalent Ge atoms to form distorted MgMg10Ge2 cuboctahedra that share corners with eighteen MgMg10Ge2 cuboctahedra, edges with four equivalent GeMg12 cuboctahedra, edges with fourteen MgMg10Ge2 cuboctahedra, faces with four equivalent GeMg12 cuboctahedra, and faces with sixteen MgMg10Ge2 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.10–3.18 Å. Both Mg–Ge bond lengths are 3.11 Å. In the second Mg site, Mg is bonded to ten Mg and two equivalent Ge atoms to form distorted MgMg10Ge2 cuboctahedra that share corners with eighteen MgMg10Ge2 cuboctahedra, edges with four equivalent GeMg12 cuboctahedra, edges with fourteen MgMg10Ge2 cuboctahedra, faces with four equivalent GeMg12 cuboctahedra, and faces with sixteen MgMg10Ge2 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.10–3.18 Å. Both Mg–Ge bond lengths are 3.11 Å. In the third Mg site, Mg is bonded to ten Mg and two equivalent Ge atoms to form distorted MgMg10Ge2 cuboctahedra that share corners with eighteen MgMg10Ge2 cuboctahedra, edges with four equivalent GeMg12 cuboctahedra, edges with fourteen MgMg10Ge2 cuboctahedra, faces with four equivalent GeMg12 cuboctahedra, and faces with sixteen MgMg10Ge2 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.10–3.18 Å. Both Mg–Ge bond lengths are 3.11 Å. In the fourth Mg site, Mg is bonded to nine Mg and three equivalent Ge atoms to form distorted MgMg9Ge3 cuboctahedra that share corners with six equivalent GeMg12 cuboctahedra, corners with twelve MgMg9Ge3 cuboctahedra, edges with eighteen MgMg10Ge2 cuboctahedra, faces with four equivalent GeMg12 cuboctahedra, and faces with sixteen MgMg10Ge2 cuboctahedra. There are three shorter (3.13 Å) and two longer (3.14 Å) Mg–Mg bond lengths. All Mg–Ge bond lengths are 3.13 Å. In the fifth Mg site, Mg is bonded to nine Mg and three equivalent Ge atoms to form distorted MgMg9Ge3 cuboctahedra that share corners with six equivalent GeMg12 cuboctahedra, corners with twelve MgMg9Ge3 cuboctahedra, edges with eighteen MgMg10Ge2 cuboctahedra, faces with four equivalent GeMg12 cuboctahedra, and faces with sixteen MgMg10Ge2 cuboctahedra. Both Mg–Mg bond lengths are 3.10 Å. All Mg–Ge bond lengths are 3.13 Å. In the sixth Mg site, Mg is bonded to ten Mg and two equivalent Ge atoms to form distorted MgMg10Ge2 cuboctahedra that share corners with eighteen MgMg10Ge2 cuboctahedra, edges with four equivalent GeMg12 cuboctahedra, edges with fourteen MgMg9Ge3 cuboctahedra, faces with four equivalent GeMg12 cuboctahedra, and faces with sixteen MgMg10Ge2 cuboctahedra. There are two shorter (3.10 Å) and one longer (3.18 Å) Mg–Mg bond lengths. Both Mg–Ge bond lengths are 3.11 Å. In the seventh Mg site, Mg is bonded to ten Mg and two equivalent Ge atoms to form distorted MgMg10Ge2 cuboctahedra that share corners with eighteen MgMg10Ge2 cuboctahedra, edges with four equivalent GeMg12 cuboctahedra, edges with fourteen MgMg9Ge3 cuboctahedra, faces with four equivalent GeMg12 cuboctahedra, and faces with sixteen MgMg10Ge2 cuboctahedra. Both Mg–Ge bond lengths are 3.11 Å. In the eighth Mg site, Mg is bonded to ten Mg and two equivalent Ge atoms to form distorted MgMg10Ge2 cuboctahedra that share corners with eighteen MgMg10Ge2 cuboctahedra, edges with four equivalent GeMg12 cuboctahedra, edges with fourteen MgMg9Ge3 cuboctahedra, faces with four equivalent GeMg12 cuboctahedra, and faces with sixteen MgMg10Ge2 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.10–3.18 Å. Both Mg–Ge bond lengths are 3.11 Å. In the ninth Mg site, Mg is bonded to ten Mg and two equivalent Ge atoms to form distorted MgMg10Ge2 cuboctahedra that share corners with eighteen MgMg10Ge2 cuboctahedra, edges with four equivalent GeMg12 cuboctahedra, edges with fourteen MgMg9Ge3 cuboctahedra, faces with four equivalent GeMg12 cuboctahedra, and faces with sixteen MgMg10Ge2 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.10–3.18 Å. Both Mg–Ge bond lengths are 3.11 Å. In the tenth Mg site, Mg is bonded to nine Mg and three equivalent Ge atoms to form distorted MgMg9Ge3 cuboctahedra that share corners with six equivalent GeMg12 cuboctahedra, corners with twelve MgMg9Ge3 cuboctahedra, edges with eighteen MgMg10Ge2 cuboctahedra, faces with four equivalent GeMg12 cuboctahedra, and faces with sixteen MgMg10Ge2 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.10–3.14 Å. All Mg–Ge bond lengths are 3.13 Å. Ge is bonded to twelve Mg atoms to form GeMg12 cuboctahedra that share corners with six equivalent GeMg12 cuboctahedra, corners with twelve MgMg9Ge3 cuboctahedra, edges with six equivalent GeMg12 cuboctahedra, edges with twelve MgMg10Ge2 cuboctahedra, and faces with twenty MgMg10Ge2 cuboctahedra.

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 equivalent MnO6 octahedra, corners with three equivalent CoO6 octahedra, edges with three MnO6 octahedra, edges with three CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–8°. There are a spread of Li–O bond distances ranging from 2.06–2.22 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 MnO6 octahedra, an edgeedge with one MnO6 octahedra, edges with four CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–11°. There are a spread of Li–O bond distances ranging from 1.98–2.26 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six CoO6 octahedra, edges with four CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–9°. There are a spread of Li–O bond distances ranging from 2.11–2.31 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 equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–9°. There are a spread of Li–O bond distances ranging from 2.07–2.22 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 MnO6 octahedra, edges with three CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–8°. There are a spread of Li–O bond distances ranging from 2.08–2.20 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 two CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–10°. There are a spread of Li–O bond distances ranging from 2.09–2.27 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 5–12°. There are a spread of Li–O bond distances ranging from 1.99–2.31 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, 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 2–7°. There are a spread of Li–O bond distances ranging from 2.09–2.21 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 four equivalent CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–12°. There are a spread of Li–O bond distances ranging from 2.00–2.19 Å. There are two inequivalent Mn+4.50+ sites. In the first Mn+4.50+ site, Mn+4.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four equivalent 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 1.96–2.23 Å. In the second Mn+4.50+ site, Mn+4.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four equivalent CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–9°. There are a spread of Mn–O bond distances ranging from 1.96–2.20 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 CoO6 octahedra, and edges with ten LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–9°. There are a spread of Co–O bond distances ranging from 1.79–2.01 Å. In the second Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 3–8°. There are a spread of Co–O bond distances ranging from 1.96–2.12 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 CoO6 octahedra, edges with four equivalent MnO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–9°. There are a spread of Co–O bond distances ranging from 1.93–2.20 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 two equivalent CoO6 octahedra, edges with four equivalent MnO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–10°. There are a spread of Co–O bond distances ranging from 1.92–2.20 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 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 1.93–2.11 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 OLi3MnCo2 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the second 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 OLi5Co octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 1–7°. In the third O2- site, O2- is bonded to four Li1+ and two equivalent Co+2.80+ atoms to form OLi4Co2 octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi4Co2 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. 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 OLi3MnCo2 octahedra and edges with twelve OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–4°. 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 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 0–10°. In the seventh O2- site, O2- is bonded to five Li1+ and one Co+2.80+ atom to form OLi5Co octahedra that share corners with six OLi5Co octahedra and edges with twelve OLi4Co2 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. 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+, 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 0–3°. In the tenth O2- site, O2- is bonded to five Li1+ and one Co+2.80+ atom to form a mixture of edge and corner-sharing OLi5Co octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the eleventh O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. In the twelfth 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 0–4°. In the thirteenth 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 0–2°. 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 OLi4Co2 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 0–10°. 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 OLi4Co2 octahedra. The corner-sharing octahedra tilt angles range from 1–7°. 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 0–4°.

36 MATERIALS SCIENCE↗

Materials Data on CsRbMg14O15 by Materials Project

CsRbMg14O15 crystallizes in the orthorhombic Pmm2 space group. The structure is three-dimensional. Cs1+ is bonded in a 8-coordinate geometry to four O2- atoms. There are two shorter (2.44 Å) and two longer (2.52 Å) Cs–O bond lengths. Rb1+ is bonded to five O2- atoms to form distorted RbO5 trigonal bipyramids that share corners with three MgO6 octahedra, corners with two equivalent MgO5 square pyramids, corners with two equivalent RbO5 trigonal bipyramids, and edges with four equivalent MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–62°. There are four shorter (2.40 Å) and one longer (2.47 Å) Rb–O bond lengths. There are ten inequivalent Mg2+ sites. In the first Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with two equivalent MgO6 octahedra, a cornercorner with one RbO5 trigonal bipyramid, corners with two equivalent MgO5 trigonal bipyramids, edges with six MgO6 octahedra, and edges with two equivalent MgO5 square pyramids. The corner-sharing octahedral tilt angles are 3°. There are a spread of Mg–O bond distances ranging from 1.93–2.45 Å. In the second Mg2+ site, Mg2+ is bonded to five O2- atoms to form MgO5 trigonal bipyramids that share corners with two equivalent MgO6 octahedra, corners with two equivalent MgO5 trigonal bipyramids, and edges with six MgO6 octahedra. The corner-sharing octahedral tilt angles are 20°. There are a spread of Mg–O bond distances ranging from 1.95–2.14 Å. In the third Mg2+ site, Mg2+ is bonded to six O2- atoms to form distorted MgO6 octahedra that share corners with six MgO6 octahedra, a cornercorner with one MgO5 square pyramid, edges with two MgO6 octahedra, and edges with two equivalent RbO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 4–26°. There are a spread of Mg–O bond distances ranging from 2.13–2.65 Å. In the fourth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, edges with four MgO6 octahedra, an edgeedge with one MgO5 square pyramid, and edges with two equivalent MgO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 0–18°. There are a spread of Mg–O bond distances ranging from 2.15–2.39 Å. In the fifth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with two equivalent MgO6 octahedra, a cornercorner with one MgO5 square pyramid, corners with two equivalent RbO5 trigonal bipyramids, and edges with six MgO6 octahedra. The corner-sharing octahedral tilt angles are 9°. There are a spread of Mg–O bond distances ranging from 1.91–2.45 Å. In the sixth Mg2+ site, Mg2+ is bonded in a 3-coordinate geometry to three O2- atoms. There are one shorter (1.94 Å) and two longer (2.08 Å) Mg–O bond lengths. In the seventh Mg2+ site, Mg2+ is bonded to five O2- atoms to form MgO5 square pyramids that share corners with five MgO6 octahedra, corners with two equivalent MgO5 square pyramids, corners with two equivalent RbO5 trigonal bipyramids, and edges with four MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–79°. There are a spread of Mg–O bond distances ranging from 2.06–2.21 Å. In the eighth Mg2+ site, Mg2+ is bonded to six O2- atoms to form distorted MgO6 octahedra that share corners with two equivalent MgO6 octahedra, corners with two equivalent MgO5 square pyramids, edges with four MgO6 octahedra, and edges with two equivalent MgO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 20°. There are a spread of Mg–O bond distances ranging from 1.97–2.58 Å. In the ninth Mg2+ site, Mg2+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Mg–O bond distances ranging from 1.96–2.57 Å. In the tenth Mg2+ site, Mg2+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Mg–O bond distances ranging from 2.11–2.51 Å. There are eleven inequivalent O2- sites. In the first O2- site, O2- is bonded to five Mg2+ atoms to form OMg5 square pyramids that share corners with three ORbMg5 octahedra, corners with two equivalent OMg5 square pyramids, corners with two equivalent ORb2Mg3 trigonal bipyramids, and edges with six OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–73°. In the second O2- site, O2- is bonded to one Rb1+ and five Mg2+ atoms to form distorted ORbMg5 octahedra that share corners with two equivalent ORbMg5 octahedra, corners with three OMg5 square pyramids, corners with two equivalent ORb2Mg3 trigonal bipyramids, and edges with eight OMg6 octahedra. The corner-sharing octahedral tilt angles are 4°. In the third O2- site, O2- is bonded to five Mg2+ atoms to form OMg5 square pyramids that share corners with four ORbMg5 octahedra, corners with two equivalent OMg5 square pyramids, corners with two equivalent OCs2Mg3 trigonal bipyramids, and edges with six OMg6 octahedra. The corner-sharing octahedra tilt angles range from 27–80°. In the fourth O2- site, O2- is bonded to six Mg2+ atoms to form distorted OMg6 octahedra that share corners with six OMg6 octahedra, a cornercorner with one OCs2Mg3 trigonal bipyramid, edges with four OMg6 octahedra, edges with two equivalent OMg5 square pyramids, and an edgeedge with one ORb2Mg3 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 0–27°. In the fifth O2- site, O2- is bonded to six Mg2+ atoms to form distorted OMg6 octahedra that share corners with six OMg6 octahedra, a cornercorner with one ORb2Mg3 trigonal bipyramid, edges with six ORbMg5 octahedra, edges with two equivalent OMg5 square pyramids, and an edgeedge with one OCs2Mg3 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 0–21°. In the sixth O2- site, O2- is bonded to two equivalent Rb1+ and three Mg2+ atoms to form distorted ORb2Mg3 trigonal bipyramids that share corners with five ORbMg5 octahedra, corners with two equivalent OMg5 square pyramids, corners with four ORb2Mg3 trigonal bipyramids, and edges with six OCsRbMg4 octahedra. The corner-sharing octahedra tilt angles range from 0–78°. In the seventh O2- site, O2- is bonded to two equivalent Cs1+ and three Mg2+ atoms to form distorted OCs2Mg3 trigonal bipyramids that share corners with three OMg6 octahedra, corners with two equivalent OMg5 square pyramids, corners with four ORb2Mg3 trigonal bipyramids, and edges with six OCsRbMg4 octahedra. The corner-sharing octahedra tilt angles range from 0–86°. In the eighth O2- site, O2- is bonded to six Mg2+ atoms to form OMg6 octahedra that share corners with four OMg6 octahedra, a cornercorner with one ORb2Mg3 trigonal bipyramid, edges with six ORbMg5 octahedra, and edges with two equivalent OMg5 square pyramids. The corner-sharing octahedra tilt angles range from 3–5°. In the ninth O2- site, O2- is bonded to six Mg2+ atoms to form distorted OMg6 octahedra that share corners with four OMg6 octahedra, a cornercorner with one OCs2Mg3 trigonal bipyramid, edges with four OMg6 octahedra, and edges with two equivalent OMg5 square pyramids. The corner-sharing octahedra tilt angles range from 5–14°. In the tenth O2- site, O2- is bonded to one Cs1+, one Rb1+, and four Mg2+ atoms to form distorted OCsRbMg4 octahedra that share corners with four equivalent OCsRbMg4 octahedra, corners with two OMg5 square pyramids, edges with five ORbMg5 octahedra, and edges with four ORb2Mg3 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 12–60°. In the eleventh O2- site, O2- is bonded in a 5-coordinate geometry to five Mg2+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on AgPd2Au by Materials Project

Pd2AuAg crystallizes in the trigonal R3m space group. The structure is three-dimensional. there are two inequivalent Pd sites. In the first Pd site, Pd is bonded to nine Pd and three equivalent Au atoms to form PdPd9Au3 cuboctahedra that share corners with six equivalent PdPd9Au3 cuboctahedra, corners with six equivalent AgAg6Pd3Au3 cuboctahedra, edges with six equivalent AuAg3Pd3Au6 cuboctahedra, edges with six equivalent AgAg6Pd3Au3 cuboctahedra, edges with twelve PdPd9Au3 cuboctahedra, faces with six equivalent AuAg3Pd3Au6 cuboctahedra, and faces with twelve PdPd9Au3 cuboctahedra. There are three shorter (2.79 Å) and six longer (2.87 Å) Pd–Pd bond lengths. All Pd–Au bond lengths are 2.87 Å. In the second Pd site, Pd is bonded to nine Pd and three equivalent Ag atoms to form PdAg3Pd9 cuboctahedra that share corners with six equivalent PdAg3Pd9 cuboctahedra, corners with six equivalent AuAg3Pd3Au6 cuboctahedra, edges with six equivalent AuAg3Pd3Au6 cuboctahedra, edges with six equivalent AgAg6Pd3Au3 cuboctahedra, edges with twelve PdPd9Au3 cuboctahedra, faces with six equivalent AgAg6Pd3Au3 cuboctahedra, and faces with twelve PdPd9Au3 cuboctahedra. All Pd–Pd bond lengths are 2.87 Å. All Pd–Ag bond lengths are 2.85 Å. Au is bonded to three equivalent Pd, six equivalent Au, and three equivalent Ag atoms to form distorted AuAg3Pd3Au6 cuboctahedra that share corners with six equivalent PdAg3Pd9 cuboctahedra, corners with six equivalent AuAg3Pd3Au6 cuboctahedra, edges with six equivalent AuAg3Pd3Au6 cuboctahedra, edges with six equivalent AgAg6Pd3Au3 cuboctahedra, edges with twelve PdPd9Au3 cuboctahedra, faces with six equivalent PdPd9Au3 cuboctahedra, faces with six equivalent AuAg3Pd3Au6 cuboctahedra, and faces with six equivalent AgAg6Pd3Au3 cuboctahedra. All Au–Au bond lengths are 2.87 Å. All Au–Ag bond lengths are 2.94 Å. Ag is bonded to three equivalent Pd, three equivalent Au, and six equivalent Ag atoms to form distorted AgAg6Pd3Au3 cuboctahedra that share corners with six equivalent PdPd9Au3 cuboctahedra, corners with six equivalent AgAg6Pd3Au3 cuboctahedra, edges with six equivalent AuAg3Pd3Au6 cuboctahedra, edges with six equivalent AgAg6Pd3Au3 cuboctahedra, edges with twelve PdPd9Au3 cuboctahedra, faces with six equivalent PdAg3Pd9 cuboctahedra, faces with six equivalent AuAg3Pd3Au6 cuboctahedra, and faces with six equivalent AgAg6Pd3Au3 cuboctahedra. All Ag–Ag bond lengths are 2.87 Å.

36 MATERIALS SCIENCE↗

Materials Data on K2Sb9PbSe15 by Materials Project

K2PbSb9Se15 is Orthorhombic Perovskite-derived structured and crystallizes in the monoclinic P2_1/m space group. The structure is three-dimensional. there are two inequivalent K1+ sites. In the first K1+ site, K1+ is bonded in a 9-coordinate geometry to nine Se2- atoms. There are a spread of K–Se bond distances ranging from 3.29–3.98 Å. In the second K1+ site, K1+ is bonded in a 8-coordinate geometry to eight Se2- atoms. There are a spread of K–Se bond distances ranging from 3.20–3.86 Å. Pb2+ is bonded in a 8-coordinate geometry to eight Se2- atoms. There are a spread of Pb–Se bond distances ranging from 2.95–3.73 Å. There are nine inequivalent Sb+2.89+ sites. In the first Sb+2.89+ site, Sb+2.89+ is bonded to five Se2- atoms to form distorted SbSe5 square pyramids that share a cornercorner with one SbSe6 octahedra, edges with two equivalent SbSe6 octahedra, and edges with four SbSe5 square pyramids. The corner-sharing octahedral tilt angles are 1°. There are a spread of Sb–Se bond distances ranging from 2.66–2.94 Å. In the second Sb+2.89+ site, Sb+2.89+ is bonded in a 5-coordinate geometry to five Se2- atoms. There are a spread of Sb–Se bond distances ranging from 2.53–3.36 Å. In the third Sb+2.89+ site, Sb+2.89+ is bonded to five Se2- atoms to form distorted SbSe5 square pyramids that share corners with six SbSe6 octahedra, edges with four SbSe6 octahedra, and edges with two equivalent SbSe5 square pyramids. The corner-sharing octahedra tilt angles range from 2–83°. There are a spread of Sb–Se bond distances ranging from 2.69–3.09 Å. In the fourth Sb+2.89+ site, Sb+2.89+ is bonded to six Se2- atoms to form SbSe6 octahedra that share corners with three SbSe6 octahedra, edges with seven SbSe6 octahedra, and edges with two equivalent SbSe5 square pyramids. The corner-sharing octahedra tilt angles range from 4–6°. There are a spread of Sb–Se bond distances ranging from 2.83–3.11 Å. In the fifth Sb+2.89+ site, Sb+2.89+ is bonded to six Se2- atoms to form distorted SbSe6 octahedra that share corners with three SbSe5 square pyramids, edges with four equivalent SbSe6 octahedra, and edges with five SbSe5 square pyramids. There are a spread of Sb–Se bond distances ranging from 2.67–3.37 Å. In the sixth Sb+2.89+ site, Sb+2.89+ is bonded to six Se2- atoms to form distorted SbSe6 square pyramids that share corners with two equivalent SbSe6 octahedra, edges with three equivalent SbSe6 octahedra, and edges with four SbSe5 square pyramids. The corner-sharing octahedral tilt angles are 2°. There are a spread of Sb–Se bond distances ranging from 2.69–3.40 Å. In the seventh Sb+2.89+ site, Sb+2.89+ is bonded to six Se2- atoms to form a mixture of corner and edge-sharing SbSe6 octahedra. The corner-sharing octahedra tilt angles range from 1–4°. There are a spread of Sb–Se bond distances ranging from 2.77–3.15 Å. In the eighth Sb+2.89+ site, Sb+2.89+ is bonded to six Se2- atoms to form distorted SbSe6 octahedra that share a cornercorner with one SbSe6 octahedra, corners with four equivalent SbSe5 square pyramids, edges with four SbSe6 octahedra, and an edgeedge with one SbSe5 square pyramid. The corner-sharing octahedral tilt angles are 6°. There are a spread of Sb–Se bond distances ranging from 2.63–3.33 Å. In the ninth Sb+2.89+ site, Sb+2.89+ is bonded to six Se2- atoms to form SbSe6 octahedra that share a cornercorner with one SbSe6 octahedra, corners with two equivalent SbSe5 square pyramids, edges with eight SbSe6 octahedra, and an edgeedge with one SbSe5 square pyramid. The corner-sharing octahedral tilt angles are 1°. There are a spread of Sb–Se bond distances ranging from 2.86–2.99 Å. There are fifteen inequivalent Se2- sites. In the first Se2- site, Se2- is bonded to two equivalent K1+ and three Sb+2.89+ atoms to form distorted SeK2Sb3 trigonal bipyramids that share corners with three SeSb6 octahedra, corners with four SeK4Sb square pyramids, edges with three SeSb6 octahedra, edges with two SeK4Sb square pyramids, and edges with two equivalent SeK2Sb3 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 3–8°. In the second Se2- site, Se2- is bonded in a 6-coordinate geometry to one K1+ and five Sb+2.89+ atoms. In the third Se2- site, Se2- is bonded in a 3-coordinate geometry to two equivalent Pb2+ and three Sb+2.89+ atoms. In the fourth Se2- site, Se2- is bonded in a 5-coordinate geometry to three equivalent K1+ and two equivalent Sb+2.89+ atoms. In the fifth Se2- site, Se2- is bonded in a 5-coordinate geometry to two equivalent K1+, two equivalent Pb2+, and one Sb+2.89+ atom. In the sixth Se2- site, Se2- is bonded in a 4-coordinate geometry to three Sb+2.89+ atoms. In the seventh Se2- site, Se2- is bonded to four K1+ and one Sb+2.89+ atom to form SeK4Sb square pyramids that share corners with two equivalent SeK2Sb3 square pyramids, corners with two equivalent SeK2Sb3 trigonal bipyramids, corners with two equivalent SeKSb2Pb trigonal pyramids, edges with three SeK4Sb square pyramids, and an edgeedge with one SeK2Sb3 trigonal bipyramid. In the eighth Se2- site, Se2- is bonded to six Sb+2.89+ atoms to form SeSb6 octahedra that share a cornercorner with one SeK2Sb3 trigonal bipyramid, edges with six SeSb6 octahedra, and edges with two equivalent SeK2Sb3 trigonal bipyramids. In the ninth Se2- site, Se2- is bonded to six Sb+2.89+ atoms to form distorted SeSb6 octahedra that share a cornercorner with one SeK2Sb3 square pyramid, corners with two equivalent SeKSb2Pb trigonal pyramids, edges with four equivalent SeSb6 octahedra, edges with two equivalent SeK2Sb3 square pyramids, and an edgeedge with one SeKSb2Pb trigonal pyramid. In the tenth Se2- site, Se2- is bonded in a 5-coordinate geometry to two equivalent Pb2+ and three Sb+2.89+ atoms. In the eleventh Se2- site, Se2- is bonded in a 4-coordinate geometry to one Pb2+ and four Sb+2.89+ atoms. In the twelfth Se2- site, Se2- is bonded to two equivalent K1+ and three Sb+2.89+ atoms to form distorted SeK2Sb3 square pyramids that share a cornercorner with one SeSb6 octahedra, corners with two equivalent SeK4Sb square pyramids, corners with two equivalent SeK2Sb3 trigonal bipyramids, edges with two equivalent SeSb6 octahedra, edges with three SeK4Sb square pyramids, and an edgeedge with one SeK2Sb3 trigonal bipyramid. The corner-sharing octahedral tilt angles are 6°. In the thirteenth Se2- site, Se2- is bonded in a 5-coordinate geometry to two K1+ and three Sb+2.89+ atoms. In the fourteenth Se2- site, Se2- is bonded to six Sb+2.89+ atoms to form distorted SeSb6 octahedra that share corners with two equivalent SeK2Sb3 trigonal bipyramids, edges with four SeSb6 octahedra, and an edgeedge with one SeK2Sb3 trigonal bipyramid. In the fifteenth Se2- site, Se2- is bonded to one K1+, one Pb2+, and two equivalent Sb+2.89+ atoms to form distorted SeKSb2Pb trigonal pyramids that share corners with two equivalent SeSb6 octahedra, corners with two equivalent SeK4Sb square pyramids, corners with two equivalent SeKSb2Pb trigonal pyramids, and an edgeedge with one SeSb6 octahedra. The corner-sharing octahedral tilt angles are 6°.

36 MATERIALS SCIENCE↗

Materials Data on Sr6La14Mn17(CuO20)3 by Materials Project

Sr6La14Mn17(CuO20)3 is Orthorhombic Perovskite-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are six inequivalent Sr sites. In the first Sr site, Sr is bonded to twelve O atoms to form distorted SrO12 cuboctahedra that share corners with nine SrO12 cuboctahedra, a faceface with one CuO6 octahedra, and faces with seven MnO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.53–3.09 Å. In the second Sr site, Sr is bonded to twelve O atoms to form distorted SrO12 cuboctahedra that share corners with twelve SrO12 cuboctahedra and faces with eight MnO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.54–3.08 Å. In the third Sr site, Sr is bonded to twelve O atoms to form distorted SrO12 cuboctahedra that share corners with twelve SrO12 cuboctahedra and faces with eight MnO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.54–3.05 Å. In the fourth Sr site, Sr is bonded to twelve O atoms to form distorted SrO12 cuboctahedra that share corners with twelve SrO12 cuboctahedra and faces with eight MnO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.54–3.05 Å. In the fifth Sr site, Sr is bonded to twelve O atoms to form distorted SrO12 cuboctahedra that share corners with nine SrO12 cuboctahedra and faces with eight MnO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.54–3.05 Å. In the sixth Sr site, Sr is bonded in a 12-coordinate geometry to twelve O atoms. There are a spread of Sr–O bond distances ranging from 2.52–3.17 Å. There are fourteen inequivalent La sites. In the first La site, La is bonded in a 12-coordinate geometry to nine O atoms. There are a spread of La–O bond distances ranging from 2.46–2.79 Å. In the second La site, La is bonded in a 12-coordinate geometry to nine O atoms. There are a spread of La–O bond distances ranging from 2.46–2.79 Å. In the third La site, La is bonded in a 12-coordinate geometry to nine O atoms. There are a spread of La–O bond distances ranging from 2.46–2.80 Å. In the fourth La site, La is bonded in a 12-coordinate geometry to nine O atoms. There are a spread of La–O bond distances ranging from 2.46–2.79 Å. In the fifth La site, La is bonded in a 3-coordinate geometry to nine O atoms. There are a spread of La–O bond distances ranging from 2.44–2.85 Å. In the sixth La site, La is bonded in a 12-coordinate geometry to twelve O atoms. There are a spread of La–O bond distances ranging from 2.46–3.18 Å. In the seventh La site, La is bonded in a 3-coordinate geometry to nine O atoms. There are a spread of La–O bond distances ranging from 2.40–2.81 Å. In the eighth La site, La is bonded in a 12-coordinate geometry to nine O atoms. There are a spread of La–O bond distances ranging from 2.43–2.84 Å. In the ninth La site, La is bonded in a 3-coordinate geometry to nine O atoms. There are a spread of La–O bond distances ranging from 2.41–2.83 Å. In the tenth La site, La is bonded in a 3-coordinate geometry to nine O atoms. There are a spread of La–O bond distances ranging from 2.41–2.85 Å. In the eleventh La site, La is bonded in a 12-coordinate geometry to ten O atoms. There are a spread of La–O bond distances ranging from 2.39–2.94 Å. In the twelfth La site, La is bonded in a 3-coordinate geometry to nine O atoms. There are a spread of La–O bond distances ranging from 2.40–2.83 Å. In the thirteenth La site, La is bonded in a 12-coordinate geometry to nine O atoms. There are a spread of La–O bond distances ranging from 2.40–2.81 Å. In the fourteenth La site, La is bonded in a 3-coordinate geometry to twelve O atoms. There are a spread of La–O bond distances ranging from 2.42–3.20 Å. There are seventeen inequivalent Mn sites. In the first Mn site, Mn is bonded to six O atoms to form MnO6 octahedra that share corners with three equivalent MnO6 octahedra, corners with three equivalent CuO6 octahedra, and faces with three equivalent SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 12–20°. There are a spread of Mn–O bond distances ranging from 1.92–1.99 Å. In the second Mn site, Mn is bonded to six O atoms to form MnO6 octahedra that share corners with six MnO6 octahedra and faces with four SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 13–19°. There are a spread of Mn–O bond distances ranging from 1.98–2.01 Å. In the third Mn site, Mn is bonded to six O atoms to form MnO6 octahedra that share corners with six MnO6 octahedra and faces with four SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 14–19°. There are a spread of Mn–O bond distances ranging from 1.97–1.99 Å. In the fourth Mn site, Mn is bonded to six O atoms to form MnO6 octahedra that share corners with six MnO6 octahedra and faces with four SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 14–20°. There are a spread of Mn–O bond distances ranging from 1.96–2.01 Å. In the fifth Mn site, Mn is bonded to six O atoms to form MnO6 octahedra that share corners with six MnO6 octahedra and faces with four SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 13–19°. There are a spread of Mn–O bond distances ranging from 1.98–2.00 Å. In the sixth Mn site, Mn is bonded to six O atoms to form MnO6 octahedra that share corners with six MnO6 octahedra and faces with four SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 13–19°. There are a spread of Mn–O bond distances ranging from 1.98–2.00 Å. In the seventh Mn site, Mn is bonded to six O atoms to form MnO6 octahedra that share corners with six MnO6 octahedra and faces with four SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 13–19°. There are a spread of Mn–O bond distances ranging from 1.97–1.99 Å. In the eighth Mn site, Mn is bonded to six O atoms to form MnO6 octahedra that share corners with six MnO6 octahedra and faces with four SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 13–19°. There are a spread of Mn–O bond distances ranging from 1.98–2.00 Å. In the ninth Mn site, Mn is bonded to six O atoms to form MnO6 octahedra that share corners with six MnO6 octahedra and a faceface with one SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 13–21°. There are a spread of Mn–O bond distances ranging from 1.97–2.01 Å. In the tenth Mn site, Mn is bonded to six O atoms to form MnO6 octahedra that share corners with six MnO6 octahedra and faces with four SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 14–19°. There are a spread of Mn–O bond distances ranging from 1.97–1.99 Å. In the eleventh Mn site, Mn is bonded to six O atoms to form MnO6 octahedra that share corners with three equivalent MnO6 octahedra and corners with three equivalent CuO6 octahedra. The corner-sharing octahedra tilt angles range from 15–21°. There are a spread of Mn–O bond distances ranging from 1.94–2.00 Å. In the twelfth Mn site, Mn is bonded to six O atoms to form MnO6 octahedra that share corners with six MnO6 octahedra and faces with three equivalent SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 13–19°. There are a spread of Mn–O bond distances ranging from 1.98–2.01 Å. In the thirteenth Mn site, Mn is bonded to six O atoms to form MnO6 octahedra that share corners with three equivalent MnO6 octahedra and corners with three equivalent CuO6 octahedra. The corner-sharing octahedra tilt angles range from 22–23°. There are a spread of Mn–O bond distances ranging from 1.93–2.00 Å. In the fourteenth Mn site, Mn is bonded to six O atoms to form corner-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 15–21°. There are a spread of Mn–O bond distances ranging from 1.95–2.02 Å. In the fifteenth Mn site, Mn is bonded to six O atoms to form MnO6 octahedra that share corners with three equivalent MnO6 octahedra and corners with three equivalent CuO6 octahedra. The corner-sharing octahedra tilt angles range from 19–23°. There are a spread of Mn–O bond distances ranging from 1.92–2.01 Å. In the sixteenth Mn site, Mn is bonded to six O atoms to form MnO6 octahedra that share corners with three equivalent MnO6 octahedra and corners with three equivalent CuO6 octahedra. The corner-sharing octahedra tilt angles range from 20–23°. There are a spread of Mn–O bond distances ranging from 1.94–2.01 Å. In the seventeenth Mn site, Mn is bonded to six O atoms to form MnO6 octahedra that share corners with three equivalent MnO6 octahedra and corners with three equivalent CuO6 octahedra. The corner-sharing octahedra tilt angles range from 22–23°. There are a spread of Mn–O bond distances ranging from 1.94–2.00 Å. There are three inequivalent Cu sites. In the first Cu site, Cu is bonded to six O atoms to form CuO6 octahedra that share corners with six MnO6 octahedra. The corner-sharing octahedra tilt angles range from 20–22°. There are a spread of Cu–O bond distances ranging from 2.05–2.07 Å. In the second Cu site, Cu is bonded to six O atoms to form CuO6 octahedra that share corners with six MnO6 octahedra. The corner-sharing octahedra tilt angles range from 18–23°. There are a spread of Cu–O bond distances ranging from 2.05–2.07 Å. In the third Cu site, Cu is bonded to six O atoms to form CuO6 octahedra that share corners with six MnO6 octahedra and a faceface with one SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 12–21°. There are a spread of Cu–O bond distances ranging from 2.03–2.08 Å. There are sixty inequivalent O sites. In the first O site, O is bonded in a 5-coordinate geometry to two equivalent Sr, two La, and two Mn atoms. In the second O site, O is bonded in a 5-coordinate geometry to two Sr, one La, and two Mn atoms. In the third O site, O is bonded in a 2-coordinate geometry to two Sr, two equivalent La, and two Mn atoms. In the fourth O site, O is bonded in a 5-coordinate geometry to two equivalent Sr, one La, and two Mn atoms. In the fifth O site, O is bonded in a 5-coordinate geometry to two equivalent Sr, one La, and two Mn atoms. In the sixth O site, O is bonded in a 2-coordinate geometry to two equivalent Sr, two La, and two Mn atoms. In the seventh O site, O is bonded in a 5-coordinate geometry to two Sr, one La, and two Mn atoms. In the eighth O site, O is bonded in a 2-coordinate geometry to two Sr, two equivalent La, and two Mn atoms. In the ninth O site, O is bonded in a 2-coordinate geometry to two Sr, two equivalent La, and two Mn atoms. In the tenth O site, O is bonded in a 5-coordinate geometry to two equivalent Sr, one La, and two Mn atoms. In the eleventh O site, O is bonded in a 5-coordinate geometry to two equivalent Sr, one La, and two Mn atoms. In the twelfth O site, O is bonded in a 2-coordinate geometry to two equivalent Sr, two La, and two Mn atoms. In the thirteenth O site, O is bonded in a 5-coordinate geometry to two Sr, one La, and two Mn atoms. In the fourteenth O site, O is bonded in a 2-coordinate geometry to two Sr, two equivalent La, and two Mn atoms. In the fifteenth O site, O is bonded in a 6-coordinate geometry to two Sr, two equivalent La, and two Mn atoms. In the sixteenth O site, O is bonded in a 5-coordinate geometry to two equivalent Sr, one La, and two Mn atoms. In the seventeenth O site, O is bonded in a 5-coordinate geometry to two equivalent Sr, one La, and two Mn atoms. In the eighteenth O site, O is bonded in a 2-coordinate geometry to two equivalent Sr, two La, and two Mn atoms. In the nineteenth O site, O is bonded in a 5-coordinate geometry to two Sr, one La, and two Mn atoms. In the twentieth O site, O is bonded in a 6-coordinate geometry to two Sr, two equivalent La, and two Mn atoms. In the twenty-first O site, O is bonded in a 2-coordinate geometry to two Sr, two equivalent La, and two Mn atoms. In the twenty-second O site, O is bonded in a 5-coordinate geometry to two equivalent Sr, o

36 MATERIALS SCIENCE↗