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DOE OSTI2020

Materials Data on Li9Mn2Co5O16 by Materials Project

Li9Mn2Co5O16 is Caswellsilverite-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are nine inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one CoO6 octahedra, corners with four equivalent MnO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–8°. There are a spread of Li–O bond distances ranging from 2.01–2.21 Å. In the second 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 equivalent CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–8°. There are a spread of Li–O bond distances ranging from 2.12–2.25 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one CoO6 octahedra, corners with four equivalent LiO6 octahedra, edges with four CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–11°. There are a spread of Li–O bond distances ranging from 2.03–2.21 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one MnO6 octahedra, corners with five CoO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–7°. There are a spread of Li–O bond distances ranging from 2.05–2.23 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 two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–7°. There are a spread of Li–O bond distances ranging from 2.06–2.24 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two CoO6 octahedra, corners with four equivalent MnO6 octahedra, 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 Li–O bond distances ranging from 2.10–2.19 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with five CoO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–9°. There are a spread of Li–O bond distances ranging from 1.99–2.24 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one MnO6 octahedra, corners with five CoO6 octahedra, edges with four CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–9°. There are a spread of Li–O bond distances ranging from 2.09–2.26 Å. In the ninth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with four CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–11°. There are a spread of Li–O bond distances ranging from 2.01–2.26 Å. There are two inequivalent Mn+4.50+ sites. In the first Mn+4.50+ site, Mn+4.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–8°. There are a spread of Mn–O bond distances ranging from 1.94–2.25 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 1.95–2.26 Å. There are five inequivalent Co+2.80+ sites. In the first Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form 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 5–8°. There are a spread of Co–O bond distances ranging from 1.73–2.29 Å. In the second Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form distorted CoO6 octahedra that share corners with six LiO6 octahedra, edges with four CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–9°. There are a spread of Co–O bond distances ranging from 1.74–2.27 Å. In the third Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–9°. There are a spread of Co–O bond distances ranging from 1.89–2.22 Å. In the fourth Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–7°. There are a spread of Co–O bond distances ranging from 1.91–2.23 Å. In the fifth Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–7°. There are a spread of Co–O bond distances ranging from 1.91–2.24 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 a mixture of edge and corner-sharing OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 1–4°. In the second O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two equivalent Co+2.80+ atoms to form OLi3MnCo2 octahedra that share corners with six OLi4Co2 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 0–8°. In the third 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 OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. 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 OLi4Co2 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedral tilt angles are 1°. 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 OLi3Mn2Co octahedra and edges with twelve OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. In the sixth O2- site, O2- is bonded to three Li1+, two equivalent Mn+4.50+, and one Co+2.80+ atom to form a mixture of edge and corner-sharing OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 0–1°. In the seventh O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form OLi3Co3 octahedra that share corners with six OLi5Co octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 0–7°. 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 0–8°. In the ninth O2- site, O2- is bonded to three Li1+, two equivalent Mn+4.50+, and one Co+2.80+ atom to form a mixture of edge and corner-sharing OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 1–7°. In the tenth O2- site, O2- is bonded to four Li1+ and two equivalent Co+2.80+ atoms to form OLi4Co2 octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 0–8°. In the eleventh 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 OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. 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 OLi3MnCo2 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 0–1°. In the thirteenth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form OLi3Co3 octahedra that share corners with six OLi3Mn2Co octahedra and edges with twelve OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. In the fourteenth 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 OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. In the fifteenth O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two equivalent Co+2.80+ atoms to form OLi3MnCo2 octahedra that share corners with six OLi5Co octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 0–5°. In the sixteenth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form OLi3Co3 octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi5Co octahedra. The corner-sharing octahedra tilt angles range from 0–8°.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Sr2CeEuCu2RuO10 by Materials Project

RuSr2EuCeCu2O10 crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are two inequivalent Sr2+ sites. In the first Sr2+ site, Sr2+ is bonded to twelve O2- atoms to form distorted SrO12 cuboctahedra that share corners with eight SrO12 cuboctahedra, faces with five SrO12 cuboctahedra, faces with four equivalent RuO6 octahedra, and faces with four equivalent CuO5 square pyramids. There are a spread of Sr–O bond distances ranging from 2.77–3.14 Å. In the second Sr2+ site, Sr2+ is bonded to twelve O2- atoms to form SrO12 cuboctahedra that share corners with eight SrO12 cuboctahedra, faces with five SrO12 cuboctahedra, faces with four equivalent RuO6 octahedra, and faces with four equivalent CuO5 square pyramids. There are a spread of Sr–O bond distances ranging from 2.76–3.02 Å. Eu3+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are four shorter (2.40 Å) and four longer (2.55 Å) Eu–O bond lengths. Ce3+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are four shorter (2.28 Å) and four longer (2.54 Å) Ce–O bond lengths. Ru6+ is bonded to six O2- atoms to form RuO6 octahedra that share corners with four equivalent RuO6 octahedra, corners with two CuO5 square pyramids, and faces with eight SrO12 cuboctahedra. The corner-sharing octahedral tilt angles are 4°. There are a spread of Ru–O bond distances ranging from 1.94–1.97 Å. There are two inequivalent Cu2+ sites. In the first Cu2+ site, Cu2+ is bonded to five O2- atoms to form CuO5 square pyramids that share a cornercorner with one RuO6 octahedra, corners with four equivalent CuO5 square pyramids, and faces with four equivalent SrO12 cuboctahedra. The corner-sharing octahedral tilt angles are 3°. There are four shorter (1.95 Å) and one longer (2.20 Å) Cu–O bond lengths. In the second Cu2+ site, Cu2+ is bonded to five O2- atoms to form CuO5 square pyramids that share a cornercorner with one RuO6 octahedra, corners with four equivalent CuO5 square pyramids, and faces with four equivalent SrO12 cuboctahedra. The corner-sharing octahedral tilt angles are 3°. There are four shorter (1.96 Å) and one longer (2.17 Å) Cu–O bond lengths. There are six inequivalent O2- sites. In the first O2- site, O2- is bonded to four equivalent Sr2+, one Ru6+, and one Cu2+ atom to form distorted OSr4CuRu octahedra that share corners with thirteen OSr2Eu2Cu2 octahedra, edges with four equivalent OSr4CuRu octahedra, and faces with four equivalent OSr2Eu2Cu2 octahedra. The corner-sharing octahedra tilt angles range from 7–55°. In the second O2- site, O2- is bonded to four equivalent Sr2+, one Ru6+, and one Cu2+ atom to form a mixture of distorted corner and edge-sharing OSr4CuRu octahedra. The corner-sharing octahedra tilt angles range from 7–10°. In the third O2- site, O2- is bonded to two equivalent Sr2+, two equivalent Eu3+, and two equivalent Cu2+ atoms to form distorted OSr2Eu2Cu2 octahedra that share corners with six OSr2Eu2Cu2 octahedra, corners with six equivalent OCe2Eu2 tetrahedra, edges with two equivalent OSr2Eu2Cu2 octahedra, an edgeedge with one OCe2Eu2 tetrahedra, and faces with six OSr2Eu2Cu2 octahedra. The corner-sharing octahedra tilt angles range from 8–55°. In the fourth O2- site, O2- is bonded in a 6-coordinate geometry to two equivalent Sr2+, two equivalent Ce3+, and two equivalent Cu2+ atoms. In the fifth O2- site, O2- is bonded to two equivalent Eu3+ and two equivalent Ce3+ atoms to form OCe2Eu2 tetrahedra that share corners with six equivalent OSr2Eu2Cu2 octahedra, corners with four equivalent OCe2Eu2 tetrahedra, an edgeedge with one OSr2Eu2Cu2 octahedra, and edges with four equivalent OCe2Eu2 tetrahedra. The corner-sharing octahedra tilt angles range from 4–68°. In the sixth O2- site, O2- is bonded in a distorted linear geometry to four Sr2+ and two equivalent Ru6+ atoms.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Dy4FeSe7 by Materials Project

Dy4FeSe7 crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are four inequivalent Dy3+ sites. In the first Dy3+ site, Dy3+ is bonded to seven Se2- atoms to form distorted DySe7 pentagonal bipyramids that share corners with four DySe6 octahedra, corners with four equivalent FeSe6 octahedra, an edgeedge with one FeSe6 octahedra, edges with three equivalent DySe6 octahedra, edges with two equivalent DySe7 pentagonal bipyramids, and faces with two equivalent DySe7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 18–75°. There are a spread of Dy–Se bond distances ranging from 2.87–3.20 Å. In the second Dy3+ site, Dy3+ is bonded to seven Se2- atoms to form distorted DySe7 pentagonal bipyramids that share corners with two equivalent FeSe6 octahedra, corners with six DySe6 octahedra, edges with four DySe6 octahedra, edges with two equivalent DySe7 pentagonal bipyramids, and faces with two equivalent DySe7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 23–68°. There are a spread of Dy–Se bond distances ranging from 2.83–3.11 Å. In the third Dy3+ site, Dy3+ is bonded to six Se2- atoms to form DySe6 octahedra that share a cornercorner with one DySe6 octahedra, a cornercorner with one FeSe6 octahedra, corners with four DySe7 pentagonal bipyramids, edges with two equivalent DySe6 octahedra, and edges with six DySe7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 50–51°. There are a spread of Dy–Se bond distances ranging from 2.78–2.85 Å. In the fourth Dy3+ site, Dy3+ is bonded to six Se2- atoms to form DySe6 octahedra that share a cornercorner with one DySe6 octahedra, corners with two equivalent FeSe6 octahedra, corners with six DySe7 pentagonal bipyramids, edges with two equivalent DySe6 octahedra, edges with three equivalent FeSe6 octahedra, and an edgeedge with one DySe7 pentagonal bipyramid. The corner-sharing octahedra tilt angles range from 5–50°. There are a spread of Dy–Se bond distances ranging from 2.80–2.91 Å. Fe2+ is bonded to six Se2- atoms to form FeSe6 octahedra that share corners with three DySe6 octahedra, corners with six DySe7 pentagonal bipyramids, edges with two equivalent FeSe6 octahedra, edges with three equivalent DySe6 octahedra, and an edgeedge with one DySe7 pentagonal bipyramid. The corner-sharing octahedra tilt angles range from 5–51°. There are a spread of Fe–Se bond distances ranging from 2.60–2.76 Å. There are seven inequivalent Se2- sites. In the first Se2- site, Se2- is bonded to four Dy3+ and one Fe2+ atom to form distorted SeDy4Fe trigonal bipyramids that share corners with five SeDy3Fe tetrahedra, corners with two equivalent SeDy5 trigonal bipyramids, edges with two equivalent SeDy3Fe2 square pyramids, an edgeedge with one SeDy4 tetrahedra, and edges with two equivalent SeDy4Fe trigonal bipyramids. In the second Se2- site, Se2- is bonded to three Dy3+ and two equivalent Fe2+ atoms to form distorted SeDy3Fe2 square pyramids that share corners with five SeDy3Fe tetrahedra, corners with two equivalent SeDy5 trigonal bipyramids, edges with two equivalent SeDy3Fe2 square pyramids, an edgeedge with one SeDy3Fe tetrahedra, and edges with three SeDy4Fe trigonal bipyramids. In the third Se2- site, Se2- is bonded to five Dy3+ atoms to form distorted SeDy5 trigonal bipyramids that share corners with two equivalent SeDy3Fe2 square pyramids, corners with four equivalent SeDy3Fe tetrahedra, corners with two equivalent SeDy4Fe trigonal bipyramids, an edgeedge with one SeDy3Fe2 square pyramid, edges with three SeDy3Fe tetrahedra, and edges with two equivalent SeDy5 trigonal bipyramids. In the fourth Se2- site, Se2- is bonded in a 5-coordinate geometry to five Dy3+ atoms. In the fifth Se2- site, Se2- is bonded to three Dy3+ and one Fe2+ atom to form distorted SeDy3Fe tetrahedra that share corners with four equivalent SeDy3Fe2 square pyramids, corners with three SeDy3Fe tetrahedra, corners with five SeDy4Fe trigonal bipyramids, an edgeedge with one SeDy3Fe2 square pyramid, and an edgeedge with one SeDy5 trigonal bipyramid. In the sixth Se2- site, Se2- is bonded to four Dy3+ atoms to form distorted SeDy4 tetrahedra that share a cornercorner with one SeDy3Fe2 square pyramid, corners with three SeDy3Fe tetrahedra, corners with four equivalent SeDy4Fe trigonal bipyramids, and edges with three SeDy4Fe trigonal bipyramids. In the seventh Se2- site, Se2- is bonded in a rectangular see-saw-like geometry to two equivalent Dy3+ and two equivalent Fe2+ atoms.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on BaMgV2CuO8 by Materials Project

BaMgV2CuO8 crystallizes in the orthorhombic Iba2 space group. The structure is three-dimensional. Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with two equivalent MgO6 octahedra, corners with two equivalent CuO6 octahedra, corners with four VO4 tetrahedra, edges with four VO4 tetrahedra, faces with two equivalent BaO12 cuboctahedra, faces with two equivalent MgO6 octahedra, and faces with two equivalent CuO6 octahedra. The corner-sharing octahedra tilt angles range from 51–53°. There are a spread of Ba–O bond distances ranging from 2.76–3.14 Å. Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with two equivalent BaO12 cuboctahedra, corners with six VO4 tetrahedra, an edgeedge with one MgO6 octahedra, an edgeedge with one CuO6 octahedra, and faces with two equivalent BaO12 cuboctahedra. There are a spread of Mg–O bond distances ranging from 2.03–2.21 Å. There are three inequivalent V5+ sites. In the first V5+ site, V5+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with two equivalent BaO12 cuboctahedra, corners with two equivalent CuO6 octahedra, corners with four equivalent MgO6 octahedra, and edges with two equivalent BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 44–57°. There is two shorter (1.72 Å) and two longer (1.79 Å) V–O bond length. In the second V5+ site, V5+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with two equivalent BaO12 cuboctahedra, corners with two equivalent MgO6 octahedra, corners with four equivalent CuO6 octahedra, and edges with two equivalent BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 45–55°. There is two shorter (1.74 Å) and two longer (1.76 Å) V–O bond length. In the third V5+ site, V5+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with two equivalent BaO12 cuboctahedra, corners with three equivalent MgO6 octahedra, corners with three equivalent CuO6 octahedra, and edges with two equivalent BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 44–58°. There are a spread of V–O bond distances ranging from 1.73–1.78 Å. Cu2+ is bonded to six O2- atoms to form CuO6 octahedra that share corners with two equivalent BaO12 cuboctahedra, corners with six VO4 tetrahedra, an edgeedge with one MgO6 octahedra, an edgeedge with one CuO6 octahedra, and faces with two equivalent BaO12 cuboctahedra. There are a spread of Cu–O bond distances ranging from 1.97–2.28 Å. There are eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a 1-coordinate geometry to two equivalent Ba2+, one V5+, and one Cu2+ atom. In the second O2- site, O2- is bonded in a 2-coordinate geometry to two equivalent Ba2+, one Mg2+, and one V5+ atom. In the third O2- site, O2- is bonded in a 3-coordinate geometry to one Ba2+, one Mg2+, one V5+, and one Cu2+ atom. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Ba2+, one Mg2+, one V5+, and one Cu2+ atom. In the fifth O2- site, O2- is bonded in a 3-coordinate geometry to one Ba2+, one V5+, and two equivalent Cu2+ atoms. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to one Ba2+, two equivalent Mg2+, and one V5+ atom. In the seventh O2- site, O2- is bonded in a 2-coordinate geometry to two equivalent Ba2+, one Mg2+, and one V5+ atom. In the eighth O2- site, O2- is bonded in a 2-coordinate geometry to two equivalent Ba2+, one V5+, and one Cu2+ atom.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Ba2NaSr2(SbO4)3 by Materials Project

NaBa2Sr2(SbO4)3 is (Cubic) Perovskite-derived structured and crystallizes in the tetragonal P-4n2 space group. The structure is three-dimensional. Na1+ is bonded to six O2- atoms to form NaO6 octahedra that share corners with six SbO6 octahedra, faces with four equivalent BaO12 cuboctahedra, and faces with four equivalent SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–5°. There are four shorter (2.25 Å) and two longer (2.26 Å) Na–O bond lengths. Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with twelve equivalent BaO12 cuboctahedra, faces with six equivalent SrO12 cuboctahedra, faces with two equivalent NaO6 octahedra, and faces with six SbO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.89–3.01 Å. Sr2+ is bonded to twelve O2- atoms to form SrO12 cuboctahedra that share corners with twelve equivalent SrO12 cuboctahedra, faces with six equivalent BaO12 cuboctahedra, faces with two equivalent NaO6 octahedra, and faces with six SbO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.82–3.06 Å. There are two inequivalent Sb5+ sites. In the first Sb5+ site, Sb5+ is bonded to six O2- atoms to form SbO6 octahedra that share corners with two equivalent NaO6 octahedra, corners with four equivalent SbO6 octahedra, faces with four equivalent BaO12 cuboctahedra, and faces with four equivalent SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–7°. There is two shorter (1.91 Å) and four longer (2.08 Å) Sb–O bond length. In the second Sb5+ site, Sb5+ is bonded to six O2- atoms to form SbO6 octahedra that share corners with two equivalent NaO6 octahedra, corners with four SbO6 octahedra, faces with four equivalent BaO12 cuboctahedra, and faces with four equivalent SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–7°. There are a spread of Sb–O bond distances ranging from 1.91–2.09 Å. There are five inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted linear geometry to two equivalent Ba2+, two equivalent Sr2+, and two equivalent Sb5+ atoms. In the second O2- site, O2- is bonded in a distorted octahedral geometry to two equivalent Ba2+, two equivalent Sr2+, and two equivalent Sb5+ atoms. In the third O2- site, O2- is bonded in a distorted linear geometry to one Na1+, two equivalent Ba2+, two equivalent Sr2+, and one Sb5+ atom. In the fourth O2- site, O2- is bonded in a distorted linear geometry to one Na1+, two equivalent Ba2+, two equivalent Sr2+, and one Sb5+ atom. In the fifth O2- site, O2- is bonded in a 2-coordinate geometry to two equivalent Ba2+, two equivalent Sr2+, and two Sb5+ atoms.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on RbLiMg6O7 by Materials Project

RbLiMg6O7 crystallizes in the tetragonal P4mm space group. The structure is three-dimensional. Rb1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are four shorter (2.74 Å) and one longer (2.95 Å) Rb–O bond lengths. Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with four equivalent LiO6 octahedra, edges with four equivalent MgO5 square pyramids, and edges with four equivalent MgO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 3°. There are a spread of Li–O bond distances ranging from 1.94–2.57 Å. There are four inequivalent Mg2+ sites. In the first Mg2+ site, Mg2+ is bonded to five O2- atoms to form MgO5 square pyramids that share corners with four equivalent MgO5 square pyramids, edges with four equivalent LiO6 octahedra, and edges with four equivalent MgO5 trigonal bipyramids. There are one shorter (2.04 Å) and four longer (2.09 Å) Mg–O bond lengths. In the second Mg2+ site, Mg2+ is bonded in a square co-planar geometry to four equivalent O2- atoms. All Mg–O bond lengths are 2.08 Å. In the third Mg2+ site, Mg2+ is bonded in a square co-planar geometry to four O2- atoms. There are a spread of Mg–O bond distances ranging from 2.03–2.12 Å. In the fourth Mg2+ site, Mg2+ is bonded to five O2- atoms to form MgO5 trigonal bipyramids that share corners with four equivalent MgO5 trigonal bipyramids, edges with two equivalent LiO6 octahedra, edges with two equivalent MgO5 square pyramids, and edges with four equivalent MgO5 trigonal bipyramids. There are a spread of Mg–O bond distances ranging from 2.08–2.15 Å. There are five inequivalent O2- sites. In the first O2- site, O2- is bonded to one Li1+ and four equivalent Mg2+ atoms to form OLiMg4 square pyramids that share a cornercorner with one ORbLiMg4 octahedra, corners with four equivalent OLiMg4 square pyramids, corners with four equivalent ORb2Mg3 trigonal bipyramids, and edges with four equivalent OLi2Mg4 octahedra. The corner-sharing octahedral tilt angles are 0°. In the second O2- site, O2- is bonded to one Rb1+, one Li1+, and four equivalent Mg2+ atoms to form distorted ORbLiMg4 octahedra that share corners with four equivalent ORbLiMg4 octahedra, a cornercorner with one OLiMg4 square pyramid, corners with four equivalent ORb2Mg3 trigonal bipyramids, edges with four equivalent OLi2Mg4 octahedra, and edges with four equivalent OMg5 square pyramids. The corner-sharing octahedral tilt angles are 21°. In the third O2- site, O2- is bonded to five Mg2+ atoms to form OMg5 square pyramids that share corners with four equivalent OMg5 square pyramids and edges with eight ORbLiMg4 octahedra. In the fourth O2- site, O2- is bonded to two equivalent Li1+ and four Mg2+ atoms to form OLi2Mg4 octahedra that share corners with four equivalent OLi2Mg4 octahedra, a cornercorner with one ORb2Mg3 trigonal bipyramid, edges with six ORbLiMg4 octahedra, and edges with four OLiMg4 square pyramids. The corner-sharing octahedra tilt angles range from 3–12°. In the fifth O2- site, O2- is bonded to two equivalent Rb1+ and three Mg2+ atoms to form distorted ORb2Mg3 trigonal bipyramids that share corners with three ORbLiMg4 octahedra, corners with two equivalent OLiMg4 square pyramids, corners with four equivalent ORb2Mg3 trigonal bipyramids, and edges with four equivalent ORb2Mg3 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 0–49°.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Sm2Ga2Fe15 by Materials Project

Sm2Fe15Ga2 crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are two inequivalent Sm sites. In the first Sm site, Sm is bonded in a 1-coordinate geometry to seventeen Fe and two equivalent Ga atoms. There are a spread of Sm–Fe bond distances ranging from 3.01–3.41 Å. Both Sm–Ga bond lengths are 3.14 Å. In the second Sm site, Sm is bonded in a 10-coordinate geometry to fifteen Fe and four equivalent Ga atoms. There are a spread of Sm–Fe bond distances ranging from 3.06–3.36 Å. There are two shorter (3.20 Å) and two longer (3.26 Å) Sm–Ga bond lengths. There are ten inequivalent Fe sites. In the first Fe site, Fe is bonded in a 2-coordinate geometry to one Sm and thirteen Fe atoms. There are a spread of Fe–Fe bond distances ranging from 2.39–2.76 Å. In the second Fe site, Fe is bonded in a 2-coordinate geometry to one Sm, eleven Fe, and two equivalent Ga atoms. There are a spread of Fe–Fe bond distances ranging from 2.61–2.77 Å. Both Fe–Ga bond lengths are 2.68 Å. In the third Fe site, Fe is bonded to two Sm, nine Fe, and one Ga atom to form distorted FeSm2GaFe9 cuboctahedra that share corners with three equivalent GaSm3Fe9 cuboctahedra, corners with twenty-one FeSm2GaFe9 cuboctahedra, an edgeedge with one GaSm3Fe9 cuboctahedra, edges with four FeSm2Ga2Fe8 cuboctahedra, faces with three equivalent GaSm3Fe9 cuboctahedra, and faces with eighteen FeSm2GaFe9 cuboctahedra. There are a spread of Fe–Fe bond distances ranging from 2.43–2.66 Å. The Fe–Ga bond length is 2.66 Å. In the fourth Fe site, Fe is bonded to two Sm, nine Fe, and one Ga atom to form distorted FeSm2GaFe9 cuboctahedra that share corners with three equivalent GaSm3Fe9 cuboctahedra, corners with twenty-one FeSm2GaFe9 cuboctahedra, an edgeedge with one GaSm3Fe9 cuboctahedra, edges with four FeSm2GaFe9 cuboctahedra, faces with three equivalent GaSm3Fe9 cuboctahedra, and faces with eighteen FeSm2GaFe9 cuboctahedra. There are a spread of Fe–Fe bond distances ranging from 2.45–2.64 Å. The Fe–Ga bond length is 2.59 Å. In the fifth Fe site, Fe is bonded to two Sm, eight Fe, and two equivalent Ga atoms to form distorted FeSm2Ga2Fe8 cuboctahedra that share corners with two equivalent GaSm3Fe9 cuboctahedra, corners with twenty-two FeSm2GaFe9 cuboctahedra, edges with five FeSm2GaFe9 cuboctahedra, faces with four equivalent GaSm3Fe9 cuboctahedra, and faces with seventeen FeSm2GaFe9 cuboctahedra. There are a spread of Fe–Fe bond distances ranging from 2.43–2.72 Å. There are one shorter (2.59 Å) and one longer (2.64 Å) Fe–Ga bond lengths. In the sixth Fe site, Fe is bonded to two Sm, nine Fe, and one Ga atom to form distorted FeSm2GaFe9 cuboctahedra that share corners with four equivalent GaSm3Fe9 cuboctahedra, corners with eighteen FeSm2GaFe9 cuboctahedra, edges with two equivalent GaSm3Fe9 cuboctahedra, edges with eight FeSm2GaFe9 cuboctahedra, faces with two equivalent GaSm3Fe9 cuboctahedra, and faces with sixteen FeSm2GaFe9 cuboctahedra. There are a spread of Fe–Fe bond distances ranging from 2.43–2.46 Å. The Fe–Ga bond length is 2.50 Å. In the seventh Fe site, Fe is bonded to two Sm, eight Fe, and two equivalent Ga atoms to form distorted FeSm2Ga2Fe8 cuboctahedra that share corners with two equivalent GaSm3Fe9 cuboctahedra, corners with twenty FeSm2GaFe9 cuboctahedra, edges with two equivalent GaSm3Fe9 cuboctahedra, edges with eight FeSm2GaFe9 cuboctahedra, faces with two equivalent GaSm3Fe9 cuboctahedra, and faces with sixteen FeSm2GaFe9 cuboctahedra. Both Fe–Fe bond lengths are 2.46 Å. Both Fe–Ga bond lengths are 2.48 Å. In the eighth Fe site, Fe is bonded to three Sm and nine Fe atoms to form FeSm3Fe9 cuboctahedra that share corners with twenty-three FeSm2GaFe9 cuboctahedra, edges with four equivalent GaSm3Fe9 cuboctahedra, edges with six FeSm2Ga2Fe8 cuboctahedra, faces with four equivalent GaSm3Fe9 cuboctahedra, and faces with sixteen FeSm2GaFe9 cuboctahedra. Both Fe–Fe bond lengths are 2.48 Å. In the ninth Fe site, Fe is bonded to three Sm, eight Fe, and one Ga atom to form FeSm3GaFe8 cuboctahedra that share corners with five equivalent GaSm3Fe9 cuboctahedra, corners with eighteen FeSm2GaFe9 cuboctahedra, an edgeedge with one GaSm3Fe9 cuboctahedra, edges with nine FeSm2GaFe9 cuboctahedra, faces with two equivalent GaSm3Fe9 cuboctahedra, and faces with eighteen FeSm2GaFe9 cuboctahedra. The Fe–Ga bond length is 2.55 Å. In the tenth Fe site, Fe is bonded to three Sm, seven Fe, and two equivalent Ga atoms to form distorted FeSm3Ga2Fe7 cuboctahedra that share corners with six equivalent GaSm3Fe9 cuboctahedra, corners with seventeen FeSm2GaFe9 cuboctahedra, edges with ten FeSm2GaFe9 cuboctahedra, faces with two equivalent GaSm3Fe9 cuboctahedra, and faces with eighteen FeSm2GaFe9 cuboctahedra. Both Fe–Ga bond lengths are 2.54 Å. Ga is bonded to three Sm and nine Fe atoms to form GaSm3Fe9 cuboctahedra that share corners with two equivalent GaSm3Fe9 cuboctahedra, corners with twenty-one FeSm2GaFe9 cuboctahedra, edges with two equivalent GaSm3Fe9 cuboctahedra, edges with eight FeSm2GaFe9 cuboctahedra, faces with two equivalent GaSm3Fe9 cuboctahedra, and faces with eighteen FeSm2GaFe9 cuboctahedra.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Pr4(ErS2)11 by Materials Project

Pr4(ErS2)11 crystallizes in the monoclinic C2/m space group. The structure is three-dimensional. there are six inequivalent Er sites. In the first Er site, Er is bonded to seven S atoms to form distorted ErS7 pentagonal bipyramids that share corners with three ErS6 octahedra, edges with two equivalent ErS6 octahedra, and edges with four equivalent ErS7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 39–50°. There are a spread of Er–S bond distances ranging from 2.69–2.87 Å. In the second Er site, Er is bonded to six S atoms to form a mixture of corner and edge-sharing ErS6 octahedra. The corner-sharing octahedra tilt angles range from 49–59°. There are a spread of Er–S bond distances ranging from 2.64–2.76 Å. In the third Er site, Er is bonded to six S atoms to form ErS6 octahedra that share corners with three equivalent ErS6 octahedra, corners with two equivalent ErS7 pentagonal bipyramids, and edges with four ErS6 octahedra. The corner-sharing octahedra tilt angles range from 51–62°. There are a spread of Er–S bond distances ranging from 2.65–2.79 Å. In the fourth Er site, Er is bonded to six S atoms to form ErS6 octahedra that share corners with three equivalent ErS6 octahedra, a cornercorner with one ErS7 pentagonal bipyramid, edges with four equivalent ErS6 octahedra, and edges with two equivalent ErS7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 51–62°. There are a spread of Er–S bond distances ranging from 2.66–2.76 Å. In the fifth Er site, Er is bonded to six S atoms to form a mixture of corner and edge-sharing ErS6 octahedra. The corner-sharing octahedra tilt angles range from 49–59°. There are a spread of Er–S bond distances ranging from 2.65–2.76 Å. In the sixth Er site, Er is bonded to six S atoms to form a mixture of corner and edge-sharing ErS6 octahedra. The corner-sharing octahedral tilt angles are 55°. All Er–S bond lengths are 2.72 Å. There are two inequivalent Pr sites. In the first Pr site, Pr is bonded in a 8-coordinate geometry to eight S atoms. There are a spread of Pr–S bond distances ranging from 2.92–3.05 Å. In the second Pr site, Pr is bonded in a 7-coordinate geometry to eight S atoms. There are a spread of Pr–S bond distances ranging from 2.91–3.47 Å. There are eleven inequivalent S sites. In the first S site, S is bonded to three Er and two equivalent Pr atoms to form SPr2Er3 trigonal bipyramids that share corners with four SPr2Er3 trigonal bipyramids, corners with two SPrEr3 trigonal pyramids, edges with six SPr2Er3 trigonal bipyramids, and edges with two equivalent SEr4 trigonal pyramids. In the second S site, S is bonded in a rectangular see-saw-like geometry to four Er atoms. In the third S site, S is bonded in a 4-coordinate geometry to three Er and one Pr atom. In the fourth S site, S is bonded to three Er and two equivalent Pr atoms to form SPr2Er3 trigonal bipyramids that share corners with six SPr2Er3 trigonal bipyramids, corners with two equivalent SPrEr3 trigonal pyramids, edges with two equivalent SPr2Er3 square pyramids, edges with four SPr2Er3 trigonal bipyramids, and an edgeedge with one SPrEr3 trigonal pyramid. In the fifth S site, S is bonded to three Er and two equivalent Pr atoms to form SPr2Er3 square pyramids that share corners with two equivalent SPr2Er3 square pyramids, corners with four SPr3Er2 trigonal bipyramids, edges with three SPr2Er3 square pyramids, edges with three SPr2Er3 trigonal bipyramids, and edges with two equivalent SPrEr3 trigonal pyramids. In the sixth S site, S is bonded to three Er and two equivalent Pr atoms to form SPr2Er3 square pyramids that share corners with four SPr2Er3 square pyramids, corners with two equivalent SPr3Er2 trigonal bipyramids, corners with two equivalent SPrEr3 trigonal pyramids, edges with four SPr2Er3 square pyramids, and edges with three SPr3Er2 trigonal bipyramids. In the seventh S site, S is bonded to two equivalent Er and three Pr atoms to form distorted SPr3Er2 trigonal bipyramids that share corners with four SPr2Er3 square pyramids, corners with two equivalent SPr2Er3 trigonal bipyramids, corners with four equivalent SEr4 trigonal pyramids, edges with two SPr2Er3 square pyramids, edges with six SPr2Er3 trigonal bipyramids, and edges with three SPrEr3 trigonal pyramids. In the eighth S site, S is bonded to three Er and one Pr atom to form SPrEr3 trigonal pyramids that share corners with two equivalent SPr2Er3 square pyramids, corners with four SPr2Er3 trigonal bipyramids, corners with five SPrEr3 trigonal pyramids, edges with two equivalent SPr2Er3 square pyramids, and edges with three SPr3Er2 trigonal bipyramids. In the ninth S site, S is bonded in a rectangular see-saw-like geometry to four Er atoms. In the tenth S site, S is bonded to four Er atoms to form distorted SEr4 trigonal pyramids that share corners with five SPr2Er3 trigonal bipyramids, corners with five SPrEr3 trigonal pyramids, edges with three SPr2Er3 trigonal bipyramids, and edges with two equivalent SEr4 trigonal pyramids. In the eleventh S site, S is bonded to two equivalent Er and three Pr atoms to form distorted SPr3Er2 trigonal bipyramids that share corners with two equivalent SPr2Er3 square pyramids, corners with four SPr2Er3 trigonal bipyramids, a cornercorner with one SPrEr3 trigonal pyramid, edges with two equivalent SPr2Er3 square pyramids, and edges with six SPr2Er3 trigonal bipyramids.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on SmEuCuS3 by Materials Project

EuSmCuS3 crystallizes in the orthorhombic Pnma space group. The structure is three-dimensional. Eu2+ is bonded to seven S2- atoms to form distorted EuS7 pentagonal bipyramids that share corners with six equivalent SmS6 octahedra, corners with three equivalent CuS4 tetrahedra, edges with four equivalent SmS6 octahedra, edges with two equivalent EuS7 pentagonal bipyramids, edges with three equivalent CuS4 tetrahedra, and faces with two equivalent EuS7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 21–69°. There are a spread of Eu–S bond distances ranging from 2.97–3.17 Å. Sm3+ is bonded to six S2- atoms to form SmS6 octahedra that share corners with two equivalent SmS6 octahedra, corners with six equivalent EuS7 pentagonal bipyramids, edges with two equivalent SmS6 octahedra, edges with four equivalent EuS7 pentagonal bipyramids, and edges with four equivalent CuS4 tetrahedra. The corner-sharing octahedral tilt angles are 42°. There are a spread of Sm–S bond distances ranging from 2.79–2.84 Å. Cu1+ is bonded to four S2- atoms to form CuS4 tetrahedra that share corners with three equivalent EuS7 pentagonal bipyramids, corners with two equivalent CuS4 tetrahedra, edges with four equivalent SmS6 octahedra, and edges with three equivalent EuS7 pentagonal bipyramids. There are a spread of Cu–S bond distances ranging from 2.35–2.40 Å. There are three inequivalent S2- sites. In the first S2- site, S2- is bonded to three equivalent Eu2+, two equivalent Sm3+, and one Cu1+ atom to form distorted SSm2Eu3Cu octahedra that share corners with two equivalent SSm2Eu2Cu2 octahedra, corners with six equivalent SSm2Eu2Cu square pyramids, edges with nine SSm2Eu2Cu2 octahedra, an edgeedge with one SSm2Eu2Cu square pyramid, and a faceface with one SSm2Eu2Cu square pyramid. The corner-sharing octahedral tilt angles are 27°. In the second S2- site, S2- is bonded to two equivalent Eu2+, two equivalent Sm3+, and one Cu1+ atom to form distorted SSm2Eu2Cu square pyramids that share corners with ten SSm2Eu2Cu2 octahedra, edges with four SSm2Eu2Cu2 octahedra, edges with two equivalent SSm2Eu2Cu square pyramids, and a faceface with one SSm2Eu3Cu octahedra. The corner-sharing octahedra tilt angles range from 5–83°. In the third S2- site, S2- is bonded to two equivalent Eu2+, two equivalent Sm3+, and two equivalent Cu1+ atoms to form distorted SSm2Eu2Cu2 octahedra that share corners with four SSm2Eu2Cu2 octahedra, corners with four equivalent SSm2Eu2Cu square pyramids, edges with seven SSm2Eu3Cu octahedra, and edges with three equivalent SSm2Eu2Cu square pyramids. The corner-sharing octahedra tilt angles range from 8–27°.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on FeSbRh2 by Materials Project

FeRh2Sb is Heusler structured and crystallizes in the tetragonal I4/mmm space group. The structure is three-dimensional. Fe is bonded to eight equivalent Rh and four equivalent Sb atoms to form FeSb4Rh8 cuboctahedra that share corners with four equivalent FeSb4Rh8 cuboctahedra, corners with eight equivalent SbFe4Rh8 cuboctahedra, corners with sixteen equivalent RhFe4Sb4 cuboctahedra, edges with eight equivalent FeSb4Rh8 cuboctahedra, edges with eight equivalent RhFe4Sb4 cuboctahedra, faces with four equivalent FeSb4Rh8 cuboctahedra, and faces with six equivalent SbFe4Rh8 cuboctahedra. All Fe–Rh bond lengths are 2.75 Å. All Fe–Sb bond lengths are 2.87 Å. Rh is bonded to four equivalent Fe and four equivalent Sb atoms to form distorted RhFe4Sb4 cuboctahedra that share corners with eight equivalent FeSb4Rh8 cuboctahedra, corners with eight equivalent RhFe4Sb4 cuboctahedra, corners with eight equivalent SbFe4Rh8 cuboctahedra, edges with four equivalent FeSb4Rh8 cuboctahedra, edges with four equivalent SbFe4Rh8 cuboctahedra, edges with twelve equivalent RhFe4Sb4 cuboctahedra, and faces with six equivalent RhFe4Sb4 cuboctahedra. All Rh–Sb bond lengths are 2.75 Å. Sb is bonded to four equivalent Fe and eight equivalent Rh atoms to form SbFe4Rh8 cuboctahedra that share corners with four equivalent SbFe4Rh8 cuboctahedra, corners with eight equivalent FeSb4Rh8 cuboctahedra, corners with sixteen equivalent RhFe4Sb4 cuboctahedra, edges with eight equivalent RhFe4Sb4 cuboctahedra, edges with eight equivalent SbFe4Rh8 cuboctahedra, faces with four equivalent SbFe4Rh8 cuboctahedra, and faces with six equivalent FeSb4Rh8 cuboctahedra.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Hf(AlNi4)3 by Materials Project

Hf(Ni4Al)3 is Uranium Silicide-derived structured and crystallizes in the tetragonal P4/mmm space group. The structure is three-dimensional. Hf is bonded to twelve Ni atoms to form HfNi12 cuboctahedra that share corners with four equivalent HfNi12 cuboctahedra, corners with eight equivalent AlNi12 cuboctahedra, edges with twenty-four NiHf2Al2Ni8 cuboctahedra, faces with two equivalent AlNi12 cuboctahedra, faces with four equivalent HfNi12 cuboctahedra, and faces with eight NiHf2Al2Ni8 cuboctahedra. There are four shorter (2.56 Å) and eight longer (2.62 Å) Hf–Ni bond lengths. There are six inequivalent Ni sites. In the first Ni site, Ni is bonded in a distorted square co-planar geometry to four equivalent Hf and eight Ni atoms. All Ni–Ni bond lengths are 2.62 Å. In the second Ni site, Ni is bonded to eight Ni and four equivalent Al atoms to form NiAl4Ni8 cuboctahedra that share corners with eight NiAl4Ni8 cuboctahedra, edges with four equivalent HfNi12 cuboctahedra, edges with four equivalent AlNi12 cuboctahedra, edges with sixteen NiHf2Al2Ni8 cuboctahedra, faces with four equivalent AlNi12 cuboctahedra, and faces with thirteen NiAl4Ni8 cuboctahedra. All Ni–Ni bond lengths are 2.51 Å. All Ni–Al bond lengths are 2.56 Å. In the third Ni site, Ni is bonded to eight equivalent Ni and four equivalent Al atoms to form NiAl4Ni8 cuboctahedra that share corners with twelve NiAl4Ni8 cuboctahedra, edges with eight equivalent AlNi12 cuboctahedra, edges with sixteen equivalent NiAl4Ni8 cuboctahedra, faces with four equivalent AlNi12 cuboctahedra, and faces with fourteen NiAl4Ni8 cuboctahedra. All Ni–Ni bond lengths are 2.52 Å. All Ni–Al bond lengths are 2.56 Å. In the fourth Ni site, Ni is bonded to two equivalent Hf, eight Ni, and two equivalent Al atoms to form distorted NiHf2Al2Ni8 cuboctahedra that share corners with twelve NiHf2Al2Ni8 cuboctahedra, edges with four equivalent HfNi12 cuboctahedra, edges with four equivalent AlNi12 cuboctahedra, edges with twelve NiAl4Ni8 cuboctahedra, faces with two equivalent HfNi12 cuboctahedra, faces with two equivalent AlNi12 cuboctahedra, and faces with twelve NiAl4Ni8 cuboctahedra. All Ni–Ni bond lengths are 2.56 Å. Both Ni–Al bond lengths are 2.51 Å. In the fifth Ni site, Ni is bonded to eight Ni and four Al atoms to form distorted NiAl4Ni8 cuboctahedra that share corners with twelve NiHf2Al2Ni8 cuboctahedra, edges with eight AlNi12 cuboctahedra, edges with sixteen NiAl4Ni8 cuboctahedra, faces with four AlNi12 cuboctahedra, and faces with fourteen NiAl4Ni8 cuboctahedra. All Ni–Ni bond lengths are 2.56 Å. There are two shorter (2.51 Å) and two longer (2.52 Å) Ni–Al bond lengths. In the sixth Ni site, Ni is bonded to two equivalent Hf, eight Ni, and two equivalent Al atoms to form distorted NiHf2Al2Ni8 cuboctahedra that share corners with twelve NiHf2Al2Ni8 cuboctahedra, edges with four equivalent HfNi12 cuboctahedra, edges with four equivalent AlNi12 cuboctahedra, edges with twelve NiAl4Ni8 cuboctahedra, faces with two equivalent HfNi12 cuboctahedra, faces with two equivalent AlNi12 cuboctahedra, and faces with twelve NiAl4Ni8 cuboctahedra. There are two shorter (2.51 Å) and four longer (2.56 Å) Ni–Ni bond lengths. Both Ni–Al bond lengths are 2.51 Å. There are two inequivalent Al sites. In the first Al site, Al is bonded to twelve Ni atoms to form AlNi12 cuboctahedra that share corners with four equivalent HfNi12 cuboctahedra, corners with eight AlNi12 cuboctahedra, edges with twenty NiHf2Al2Ni8 cuboctahedra, a faceface with one HfNi12 cuboctahedra, faces with five AlNi12 cuboctahedra, and faces with twelve NiAl4Ni8 cuboctahedra. In the second Al site, Al is bonded to twelve Ni atoms to form AlNi12 cuboctahedra that share corners with twelve AlNi12 cuboctahedra, edges with twenty-four NiAl4Ni8 cuboctahedra, faces with six AlNi12 cuboctahedra, and faces with twelve NiAl4Ni8 cuboctahedra.

36 MATERIALS SCIENCE↗
DOE OSTI2020

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 a cornercorner with one MnO6 octahedra, a cornercorner with one CoO6 octahedra, edges with two equivalent MnO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–10°. There are a spread of Li–O bond distances ranging from 2.09–2.24 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one CoO6 octahedra, corners with four equivalent MnO6 octahedra, edges with two equivalent MnO6 octahedra, edges with two equivalent CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–10°. There are a spread of Li–O bond distances ranging from 2.03–2.25 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two MnO6 octahedra, corners with four equivalent 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 2.09–2.30 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one CoO6 octahedra, corners with four equivalent LiO6 octahedra, edges with two equivalent MnO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–9°. There are a spread of Li–O bond distances ranging from 2.04–2.26 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with five CoO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–8°. There are a spread of Li–O bond distances ranging from 2.07–2.15 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with five CoO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–12°. 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 a cornercorner with one LiO6 octahedra, a cornercorner with one CoO6 octahedra, corners with four equivalent MnO6 octahedra, edges with two equivalent MnO6 octahedra, edges with two equivalent CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–9°. There are a spread of Li–O bond distances ranging from 1.99–2.24 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, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–9°. There are a spread of Li–O bond distances ranging from 2.05–2.13 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 six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–9°. There are a spread of Mn–O bond distances ranging from 1.90–2.00 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 two equivalent CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–10°. There are a spread of Mn–O bond distances ranging from 1.83–2.07 Å. There are four inequivalent Co4+ sites. In the first 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 3–8°. There are a spread of Co–O bond distances ranging from 1.99–2.07 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 2–12°. There are a spread of Co–O bond distances ranging from 1.97–2.17 Å. In the third Co4+ site, Co4+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Co–O bond distances ranging from 1.77–2.40 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 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 2.02–2.09 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 OLi3Mn2Co octahedra and edges with twelve OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 3–7°. In the second 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 OLi4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 2–10°. In the third O2- site, O2- is bonded to three Li1+, one Mn2+, and two equivalent Co4+ atoms to form OLi3MnCo2 octahedra that share corners with six OLi5Mn octahedra and edges with twelve OLi4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the fourth 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 OLi4Co2 octahedra and edges with twelve OLi5Mn octahedra. The corner-sharing octahedra tilt angles range from 0–20°. In the fifth O2- site, O2- is bonded to four Li1+ and two equivalent Mn2+ atoms to form OLi4Mn2 octahedra that share corners with six OLi4Co2 octahedra and edges with twelve OLi4Mn2 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 OLi3Co3 octahedra that share corners with six OLi3Mn2Co octahedra and edges with twelve OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–4°. In the seventh O2- site, O2- is bonded to three Li1+ and three Co4+ atoms to form OLi3Co3 octahedra that share corners with six OLi4Co2 octahedra and edges with twelve OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–5°. In the eighth O2- site, O2- is bonded to five Li1+ and one Mn2+ atom to form OLi5Mn octahedra that share corners with six OLi3Mn2Co octahedra and edges with twelve OLi4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 2–7°. In the ninth O2- site, O2- is bonded to three Li1+ and three Co4+ atoms to form OLi3Co3 octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 1–5°. In the tenth O2- site, O2- is bonded to three Li1+, one Mn2+, and two equivalent Co4+ atoms to form a mixture of corner and edge-sharing OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 0–5°. In the eleventh O2- site, O2- is bonded to three Li1+, two equivalent Mn2+, and one Co4+ atom to form a mixture of corner and edge-sharing OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 0–8°. In the twelfth O2- site, O2- is bonded to three Li1+ and three Co4+ atoms to form OLi3Co3 octahedra that share corners with six OLi4Mn2 octahedra and edges with twelve OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–4°. In the thirteenth O2- site, O2- is bonded to three Li1+, two equivalent Mn2+, and one Co4+ atom to form a mixture of distorted corner and edge-sharing OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 3–10°. In the fourteenth 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 OLi5Mn octahedra. The corner-sharing octahedra tilt angles range from 0–20°.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on AgSbTe3Pb by Materials Project

AgPbSbTe3 is Molybdenum Carbide MAX Phase-derived structured and crystallizes in the orthorhombic Imm2 space group. The structure is three-dimensional. Ag1+ is bonded to six Te2- atoms to form AgTe6 octahedra that share corners with two equivalent AgTe6 octahedra, corners with two equivalent PbTe6 octahedra, corners with two equivalent SbTe6 octahedra, edges with two equivalent AgTe6 octahedra, edges with five equivalent PbTe6 octahedra, and edges with five equivalent SbTe6 octahedra. The corner-sharing octahedra tilt angles range from 1–6°. There are a spread of Ag–Te bond distances ranging from 3.04–3.16 Å. Pb2+ is bonded to six Te2- atoms to form PbTe6 octahedra that share corners with two equivalent AgTe6 octahedra, corners with two equivalent PbTe6 octahedra, corners with two equivalent SbTe6 octahedra, edges with two equivalent PbTe6 octahedra, edges with five equivalent AgTe6 octahedra, and edges with five equivalent SbTe6 octahedra. The corner-sharing octahedra tilt angles range from 3–5°. There are a spread of Pb–Te bond distances ranging from 3.16–3.31 Å. Sb3+ is bonded to six Te2- atoms to form SbTe6 octahedra that share corners with two equivalent AgTe6 octahedra, corners with two equivalent PbTe6 octahedra, corners with two equivalent SbTe6 octahedra, edges with two equivalent SbTe6 octahedra, edges with five equivalent AgTe6 octahedra, and edges with five equivalent PbTe6 octahedra. The corner-sharing octahedra tilt angles range from 1–7°. There are a spread of Sb–Te bond distances ranging from 3.06–3.16 Å. There are three inequivalent Te2- sites. In the first Te2- site, Te2- is bonded to two equivalent Ag1+, two equivalent Pb2+, and two equivalent Sb3+ atoms to form a mixture of edge and corner-sharing TeAg2Sb2Pb2 octahedra. The corner-sharing octahedra tilt angles range from 1–7°. In the second Te2- site, Te2- is bonded to two equivalent Ag1+, two equivalent Pb2+, and two equivalent Sb3+ atoms to form a mixture of edge and corner-sharing TeAg2Sb2Pb2 octahedra. The corner-sharing octahedra tilt angles range from 2–6°. In the third Te2- site, Te2- is bonded to two equivalent Ag1+, two equivalent Pb2+, and two equivalent Sb3+ atoms to form a mixture of edge and corner-sharing TeAg2Sb2Pb2 octahedra. The corner-sharing octahedra tilt angles range from 1–5°.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Li9Mn2Co5O16 by Materials Project

Li9Mn2Co5O16 is Caswellsilverite-derived structured and crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are nine inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three equivalent LiO6 octahedra, corners with three equivalent CoO6 octahedra, an edgeedge with one CoO6 octahedra, edges with four equivalent MnO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–11°. There are a spread of Li–O bond distances ranging from 2.03–2.21 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six MnO6 octahedra, edges with two MnO6 octahedra, edges with four equivalent CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–7°. There are a spread of Li–O bond distances ranging from 2.08–2.21 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 two CoO6 octahedra, edges with four equivalent MnO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–9°. There are a spread of Li–O bond distances ranging from 2.12–2.18 Å. In the fourth 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 4–8°. There are a spread of Li–O bond distances ranging from 2.06–2.23 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six CoO6 octahedra, edges with six LiO6 octahedra, and edges with six CoO6 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 sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three equivalent MnO6 octahedra, corners with three equivalent CoO6 octahedra, an edgeedge with one MnO6 octahedra, an edgeedge with one CoO6 octahedra, and edges with ten LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–9°. There are a spread of Li–O bond distances ranging from 2.10–2.56 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 4–16°. There are a spread of Li–O bond distances ranging from 2.05–2.15 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six CoO6 octahedra, edges with six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 1–9°. There are a spread of Li–O bond distances ranging from 2.07–2.27 Å. In the ninth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with two equivalent CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–16°. There are a spread of Li–O bond distances ranging from 2.03–2.15 Å. There are two inequivalent Mn+4.50+ sites. In the first Mn+4.50+ site, Mn+4.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with two equivalent CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–7°. There are a spread of Mn–O bond distances ranging from 1.84–2.08 Å. In the second Mn+4.50+ site, Mn+4.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–6°. There are four shorter (1.98 Å) and two longer (2.19 Å) Mn–O bond lengths. 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, edges with four MnO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–9°. There are a spread of Co–O bond distances ranging from 2.02–2.10 Å. In the second Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–10°. There are a spread of Co–O bond distances ranging from 2.01–2.11 Å. In the third Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 1–9°. There are a spread of Co–O bond distances ranging from 1.95–2.17 Å. In the fourth Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 3–8°. There are a spread of Co–O bond distances ranging from 1.93–2.06 Å. In the fifth Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with four CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–9°. There are a spread of Co–O bond distances ranging from 1.72–2.10 Å. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded to four Li1+ and two equivalent Mn+4.50+ atoms to form OLi4Mn2 octahedra that share corners with six OLi3Mn2Co octahedra and edges with ten OLi4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 1–9°. In the second O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two equivalent Co+2.80+ atoms to form OLi3MnCo2 octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 1–6°. In the third O2- site, O2- is bonded to three Li1+, two equivalent Mn+4.50+, and one Co+2.80+ atom to form OLi3Mn2Co octahedra that share corners with six OLi3Mn2Co octahedra and edges with twelve OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the fourth O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two equivalent Co+2.80+ atoms to form OLi3MnCo2 octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 1–2°. In the fifth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form OLi3Co3 octahedra that share corners with six OLi3Mn2Co octahedra and edges with twelve OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. In the sixth O2- site, O2- is bonded in a 6-coordinate geometry to five Li1+ and one Co+2.80+ atom. 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 three Li1+ and three Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–2°. In the ninth O2- site, O2- is bonded to three Li1+, two equivalent Mn+4.50+, and one Co+2.80+ atom to form a mixture of edge and corner-sharing OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 1–6°. In the tenth 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 1–2°. In the eleventh 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 0–1°. In the twelfth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–2°. In the thirteenth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–3°. In the fourteenth O2- site, O2- is bonded to five Li1+ and one Mn+4.50+ atom to form OLi5Mn octahedra that share corners with three equivalent OLi3MnCo2 octahedra and edges with eleven OLi4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 5–6°. In the fifteenth O2- site, O2- is bonded to four Li1+ and two equivalent Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi4Co2 octahedra. The corner-sharing octahedra tilt angles range from 1–9°. In the sixteenth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedral tilt angles are 2°.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on SrLiLaTi3O9 by Materials Project

LiSrLaTi3O9 is (Cubic) Perovskite-derived structured and crystallizes in the trigonal P3m1 space group. The structure is three-dimensional. Li1+ is bonded to twelve O2- atoms to form LiO12 cuboctahedra that share corners with three equivalent SrO12 cuboctahedra, corners with three equivalent LaO12 cuboctahedra, corners with six equivalent LiO12 cuboctahedra, faces with three equivalent SrO12 cuboctahedra, faces with three equivalent LaO12 cuboctahedra, and faces with eight TiO6 octahedra. There are a spread of Li–O bond distances ranging from 2.77–2.85 Å. Sr2+ is bonded to twelve O2- atoms to form SrO12 cuboctahedra that share corners with three equivalent LiO12 cuboctahedra, corners with three equivalent LaO12 cuboctahedra, corners with six equivalent SrO12 cuboctahedra, faces with three equivalent LiO12 cuboctahedra, faces with three equivalent LaO12 cuboctahedra, and faces with eight TiO6 octahedra. There are nine shorter (2.77 Å) and three longer (2.79 Å) Sr–O bond lengths. La3+ is bonded to twelve O2- atoms to form LaO12 cuboctahedra that share corners with three equivalent LiO12 cuboctahedra, corners with three equivalent SrO12 cuboctahedra, corners with six equivalent LaO12 cuboctahedra, faces with three equivalent LiO12 cuboctahedra, faces with three equivalent SrO12 cuboctahedra, and faces with eight TiO6 octahedra. There are a spread of La–O bond distances ranging from 2.70–2.77 Å. There are three inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six TiO6 octahedra, faces with two equivalent LiO12 cuboctahedra, faces with three equivalent SrO12 cuboctahedra, and faces with three equivalent LaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 2–5°. There is three shorter (1.94 Å) and three longer (1.97 Å) Ti–O bond length. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six TiO6 octahedra, faces with two equivalent SrO12 cuboctahedra, faces with three equivalent LiO12 cuboctahedra, and faces with three equivalent LaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 2–3°. There is three shorter (1.93 Å) and three longer (1.98 Å) Ti–O bond length. In the third Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six TiO6 octahedra, faces with two equivalent LaO12 cuboctahedra, faces with three equivalent LiO12 cuboctahedra, and faces with three equivalent SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 3–5°. There is three shorter (1.94 Å) and three longer (1.97 Å) Ti–O bond length. There are three inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted linear geometry to one Li1+, one Sr2+, two equivalent La3+, and two Ti4+ atoms. In the second O2- site, O2- is bonded in a distorted linear geometry to two equivalent Li1+, one Sr2+, one La3+, and two Ti4+ atoms. In the third O2- site, O2- is bonded in a distorted linear geometry to one Li1+, two equivalent Sr2+, one La3+, and two Ti4+ atoms.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Li9Mn2Co5O16 by Materials Project

Li9Mn2Co5O16 is Caswellsilverite-derived structured and crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are nine inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six CoO6 octahedra, edges with two CoO6 octahedra, edges with four equivalent MnO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–7°. There are a spread of Li–O bond distances ranging from 2.13–2.22 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three equivalent 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 2–11°. There are a spread of Li–O bond distances ranging from 2.09–2.20 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three equivalent CoO6 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 2.08–2.18 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three equivalent LiO6 octahedra, corners with three equivalent CoO6 octahedra, an edgeedge with one CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 9–10°. There are a spread of Li–O bond distances ranging from 2.05–2.35 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form edge-sharing LiO6 octahedra. There are a spread of Li–O bond distances ranging from 2.08–2.32 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six MnO6 octahedra, edges with two MnO6 octahedra, edges with four equivalent CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–8°. There are a spread of Li–O bond distances ranging from 2.10–2.37 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three equivalent CoO6 octahedra, an edgeedge with one CoO6 octahedra, edges with four LiO6 octahedra, and edges with four equivalent MnO6 octahedra. The corner-sharing octahedra tilt angles range from 6–10°. There are a spread of Li–O bond distances ranging from 2.07–2.23 Å. In the eighth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 1.98–2.62 Å. In the ninth Li1+ site, Li1+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing LiO6 octahedra. The corner-sharing octahedra tilt angles range from 9–10°. There are a spread of Li–O bond distances ranging from 2.08–2.20 Å. There are two inequivalent Mn+4.50+ sites. In the first Mn+4.50+ site, Mn+4.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–8°. There are a spread of Mn–O bond distances ranging from 1.96–2.24 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 three equivalent LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with two equivalent CoO6 octahedra, and edges with five LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–8°. There are a spread of Mn–O bond distances ranging from 1.91–2.04 Å. There are five inequivalent Co+2.80+ sites. In the first Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with 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 Co–O bond distances ranging from 1.93–2.27 Å. In the second Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–11°. There are a spread of Co–O bond distances ranging from 1.94–2.16 Å. In the third Co+2.80+ site, Co+2.80+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Co–O bond distances ranging from 1.79–2.51 Å. In the fourth Co+2.80+ site, Co+2.80+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Co–O bond distances ranging from 1.78–2.09 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, edges with four MnO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–10°. There are a spread of Co–O bond distances ranging from 1.94–2.21 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 a mixture of edge and corner-sharing OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 1–4°. In the second O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two equivalent Co+2.80+ atoms to form OLi3MnCo2 octahedra that share corners with six OLi3Co3 octahedra and edges with twelve 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 OLi3Mn2Co octahedra and edges with twelve OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the fourth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–17°. In the fifth O2- site, O2- is bonded to five Li1+ and one Co+2.80+ atom to form a mixture of edge and corner-sharing OLi5Co octahedra. The corner-sharing octahedra tilt angles range from 1–11°. 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 three equivalent OLi3MnCo2 octahedra and edges with nine OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 2–4°. In the seventh O2- site, O2- is bonded in a 5-coordinate geometry to three Li1+ and two equivalent Mn+4.50+ atoms. 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 three equivalent OLi4Co2 octahedra and edges with nine OLi5Co octahedra. The corner-sharing octahedra tilt angles range from 2–3°. In the ninth O2- site, O2- is bonded to three Li1+, two equivalent Mn+4.50+, and one Co+2.80+ atom to form a mixture of edge and corner-sharing OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 0–2°. 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 2–3°. In the eleventh O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form a mixture of distorted edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–11°. In the twelfth O2- site, O2- is bonded to four Li1+ and two equivalent Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi4Co2 octahedra. The corner-sharing octahedra tilt angles range from 1–17°. In the thirteenth O2- site, O2- is bonded to five Li1+ and one Co+2.80+ atom to form a mixture of edge and corner-sharing OLi5Co octahedra. The corner-sharing octahedral tilt angles are 1°. In the fourteenth 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 0–4°. In the fifteenth 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 2–4°. In the sixteenth O2- site, O2- is bonded in a 6-coordinate geometry to three Li1+, one Mn+4.50+, and two equivalent Co+2.80+ atoms.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Sm4(ErS2)11 by Materials Project

Sm4(ErS2)11 crystallizes in the monoclinic C2/m space group. The structure is three-dimensional. there are six inequivalent Er3+ sites. In the first Er3+ site, Er3+ is bonded to seven S2- atoms to form distorted ErS7 pentagonal bipyramids that share corners with three ErS6 octahedra, edges with two equivalent ErS6 octahedra, and edges with four equivalent ErS7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 39–50°. There are a spread of Er–S bond distances ranging from 2.69–2.88 Å. In the second Er3+ site, Er3+ is bonded to six S2- atoms to form a mixture of corner and edge-sharing ErS6 octahedra. The corner-sharing octahedra tilt angles range from 48–59°. There are a spread of Er–S bond distances ranging from 2.61–2.77 Å. In the third Er3+ site, Er3+ is bonded to six S2- atoms to form ErS6 octahedra that share corners with three equivalent ErS6 octahedra, corners with two equivalent ErS7 pentagonal bipyramids, and edges with four ErS6 octahedra. The corner-sharing octahedra tilt angles range from 52–62°. There are a spread of Er–S bond distances ranging from 2.64–2.79 Å. In the fourth Er3+ site, Er3+ is bonded to six S2- atoms to form ErS6 octahedra that share corners with three equivalent ErS6 octahedra, a cornercorner with one ErS7 pentagonal bipyramid, edges with four equivalent ErS6 octahedra, and edges with two equivalent ErS7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 52–62°. There are a spread of Er–S bond distances ranging from 2.65–2.76 Å. In the fifth Er3+ site, Er3+ is bonded to six S2- atoms to form a mixture of corner and edge-sharing ErS6 octahedra. The corner-sharing octahedra tilt angles range from 48–59°. There are a spread of Er–S bond distances ranging from 2.63–2.76 Å. In the sixth Er3+ site, Er3+ is bonded to six S2- atoms to form a mixture of corner and edge-sharing ErS6 octahedra. The corner-sharing octahedral tilt angles are 55°. There are two shorter (2.72 Å) and four longer (2.73 Å) Er–S bond lengths. There are two inequivalent Sm+2.75+ sites. In the first Sm+2.75+ site, Sm+2.75+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Sm–S bond distances ranging from 2.87–3.02 Å. In the second Sm+2.75+ site, Sm+2.75+ is bonded in a 7-coordinate geometry to eight S2- atoms. There are a spread of Sm–S bond distances ranging from 2.87–3.47 Å. There are eleven inequivalent S2- sites. In the first S2- site, S2- is bonded to three Er3+ and two equivalent Sm+2.75+ atoms to form distorted SSm2Er3 trigonal bipyramids that share corners with four SSm2Er3 trigonal bipyramids, corners with two SSmEr3 trigonal pyramids, edges with six SSm2Er3 trigonal bipyramids, and edges with two equivalent SEr4 trigonal pyramids. In the second S2- site, S2- is bonded in a rectangular see-saw-like geometry to four Er3+ atoms. In the third S2- site, S2- is bonded in a 3-coordinate geometry to three Er3+ and one Sm+2.75+ atom. In the fourth S2- site, S2- is bonded to three Er3+ and two equivalent Sm+2.75+ atoms to form distorted SSm2Er3 trigonal bipyramids that share corners with six SSm2Er3 trigonal bipyramids, corners with two equivalent SSmEr3 trigonal pyramids, edges with two equivalent SSm2Er3 square pyramids, edges with four SSm2Er3 trigonal bipyramids, and an edgeedge with one SSmEr3 trigonal pyramid. In the fifth S2- site, S2- is bonded to three Er3+ and two equivalent Sm+2.75+ atoms to form distorted SSm2Er3 square pyramids that share corners with two equivalent SSm2Er3 square pyramids, corners with four SSm3Er2 trigonal bipyramids, edges with three SSm2Er3 square pyramids, edges with three SSm2Er3 trigonal bipyramids, and edges with two equivalent SSmEr3 trigonal pyramids. In the sixth S2- site, S2- is bonded to three Er3+ and two equivalent Sm+2.75+ atoms to form distorted SSm2Er3 square pyramids that share corners with four SSm2Er3 square pyramids, corners with two equivalent SSm3Er2 trigonal bipyramids, corners with two equivalent SSmEr3 trigonal pyramids, edges with four SSm2Er3 square pyramids, and edges with three SSm3Er2 trigonal bipyramids. In the seventh S2- site, S2- is bonded to two equivalent Er3+ and three Sm+2.75+ atoms to form distorted SSm3Er2 trigonal bipyramids that share corners with four SSm2Er3 square pyramids, corners with two equivalent SSm2Er3 trigonal bipyramids, corners with four equivalent SEr4 trigonal pyramids, edges with two SSm2Er3 square pyramids, edges with six SSm2Er3 trigonal bipyramids, and edges with three SSmEr3 trigonal pyramids. In the eighth S2- site, S2- is bonded to three Er3+ and one Sm+2.75+ atom to form distorted SSmEr3 trigonal pyramids that share corners with two equivalent SSm2Er3 square pyramids, corners with four SSm2Er3 trigonal bipyramids, corners with five SSmEr3 trigonal pyramids, edges with two equivalent SSm2Er3 square pyramids, and edges with three SSm3Er2 trigonal bipyramids. In the ninth S2- site, S2- is bonded in a rectangular see-saw-like geometry to four Er3+ atoms. In the tenth S2- site, S2- is bonded to four Er3+ atoms to form distorted SEr4 trigonal pyramids that share corners with five SSm2Er3 trigonal bipyramids, corners with five SSmEr3 trigonal pyramids, edges with three SSm2Er3 trigonal bipyramids, and edges with two equivalent SEr4 trigonal pyramids. In the eleventh S2- site, S2- is bonded to two equivalent Er3+ and three Sm+2.75+ atoms to form distorted SSm3Er2 trigonal bipyramids that share corners with two equivalent SSm2Er3 square pyramids, corners with four SSm2Er3 trigonal bipyramids, a cornercorner with one SSmEr3 trigonal pyramid, edges with two equivalent SSm2Er3 square pyramids, and edges with six SSm2Er3 trigonal bipyramids.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Li9Mn2Co5O16 by Materials Project

Li9Mn2Co5O16 is Caswellsilverite-derived structured and crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are nine inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one MnO6 octahedra, corners with two equivalent LiO6 octahedra, corners with two equivalent CoO6 octahedra, an edgeedge with one CoO6 octahedra, edges with two equivalent MnO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–11°. There are a spread of Li–O bond distances ranging from 1.97–2.30 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with two equivalent MnO6 octahedra, corners with two equivalent CoO6 octahedra, an edgeedge with one MnO6 octahedra, an edgeedge with one CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 9–11°. There are a spread of Li–O bond distances ranging from 2.08–2.35 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 three CoO6 octahedra, edges with three CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–9°. There are a spread of Li–O bond distances ranging from 2.10–2.20 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one MnO6 octahedra, corners with three CoO6 octahedra, edges with two equivalent MnO6 octahedra, edges with three CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–10°. There are a spread of Li–O bond distances ranging from 2.07–2.25 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two CoO6 octahedra, corners with four MnO6 octahedra, edges with two MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–7°. There are a spread of Li–O bond distances ranging from 2.05–2.22 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one MnO6 octahedra, corners with five CoO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–11°. There are a spread of Li–O bond distances ranging from 2.12–2.21 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with two equivalent MnO6 octahedra, corners with two CoO6 octahedra, an edgeedge with one MnO6 octahedra, edges with four CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–11°. There are a spread of Li–O bond distances ranging from 1.97–2.36 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one MnO6 octahedra, corners with five CoO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–16°. There are a spread of Li–O bond distances ranging from 2.07–2.27 Å. In the ninth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–11°. There are a spread of Li–O bond distances ranging from 2.10–2.16 Å. There are two inequivalent Mn+4.50+ sites. In the first Mn+4.50+ site, Mn+4.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with two equivalent CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–11°. There are a spread of Mn–O bond distances ranging from 1.90–1.99 Å. In the second Mn+4.50+ site, Mn+4.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–10°. There is three shorter (1.94 Å) and three longer (1.96 Å) Mn–O bond length. There are five inequivalent Co+2.80+ sites. In the first Co+2.80+ site, Co+2.80+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Co–O bond distances ranging from 1.79–2.35 Å. In the second Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form distorted CoO6 octahedra that share corners with six LiO6 octahedra, edges with four CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–11°. There are a spread of Co–O bond distances ranging from 1.80–2.31 Å. In the third Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–16°. There are a spread of Co–O bond distances ranging from 1.95–2.17 Å. In the fourth Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–10°. There are a spread of Co–O bond distances ranging from 2.01–2.16 Å. In the fifth Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–11°. There are a spread of Co–O bond distances ranging from 1.98–2.16 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 distorted OLi3Mn2Co octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 2–13°. In the second O2- site, O2- is bonded to four Li1+ and two equivalent Co+2.80+ atoms to form OLi4Co2 octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 1–18°. In the third 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 1–10°. In the fourth O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two equivalent Co+2.80+ atoms to form OLi3MnCo2 octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 1–8°. In the fifth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the sixth O2- site, O2- is bonded to three Li1+, two equivalent Mn+4.50+, and one Co+2.80+ atom to form OLi3Mn2Co octahedra that share corners with six OLi3Mn2Co octahedra and edges with twelve OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–5°. In the seventh O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form OLi3Co3 octahedra that share corners with six OLi4Co2 octahedra and edges with twelve OLi5Co octahedra. The corner-sharing octahedra tilt angles range from 3–14°. In the eighth O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two equivalent Co+2.80+ atoms to form OLi3MnCo2 octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 1–9°. 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 2–18°. 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 1–13°. 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 1–14°. 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 1–5°. In the thirteenth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. In the fourteenth O2- site, O2- is bonded to 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 1–7°. In the fifteenth 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 2–9°. In the sixteenth O2- site, O2- is bonded to three Li1+, two equivalent Mn+4.50+, and one Co+2.80+ atom to form a mixture of edge and corner-sharing OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 1–10°.

36 MATERIALS SCIENCE↗