Engineering Papers⌕ Search

SEARCH · Engineering Papers

Results for “equivalent”

Search indexed NASA NTRS and DOE OSTI research on propulsion, heat transfer, battery materials and energy systems. Follow report and document links to the original sources.

Quote a phrase for an exact phrase match. Source license links do not imply unrestricted reuse.

At least 1,441 records · Page 80

Materials Data on Sr4Sn9Au7 by Materials Project

Sr4Au7Sn9 crystallizes in the tetragonal P-4m2 space group. The structure is three-dimensional. there are three inequivalent Sr sites. In the first Sr site, Sr is bonded in a 8-coordinate geometry to six Au and ten Sn atoms. There are four shorter (3.66 Å) and two longer (3.83 Å) Sr–Au bond lengths. There are a spread of Sr–Sn bond distances ranging from 3.66–3.83 Å. In the second Sr site, Sr is bonded in a 12-coordinate geometry to eight Au and eight Sn atoms. There are four shorter (3.61 Å) and four longer (3.71 Å) Sr–Au bond lengths. There are a spread of Sr–Sn bond distances ranging from 3.63–3.81 Å. In the third Sr site, Sr is bonded in a 8-coordinate geometry to six Au and ten Sn atoms. There are four shorter (3.66 Å) and two longer (3.83 Å) Sr–Au bond lengths. There are a spread of Sr–Sn bond distances ranging from 3.66–3.83 Å. There are seven inequivalent Au sites. In the first Au site, Au is bonded in a 9-coordinate geometry to four equivalent Sr and five Sn atoms. There are one shorter (2.68 Å) and four longer (2.85 Å) Au–Sn bond lengths. In the second Au site, Au is bonded in a 9-coordinate geometry to four equivalent Sr and five Sn atoms. All Au–Sr bond lengths are 3.71 Å. There are one shorter (2.71 Å) and four longer (2.83 Å) Au–Sn bond lengths. In the third Au site, Au is bonded in a 9-coordinate geometry to four equivalent Sr and five Sn atoms. There are one shorter (2.68 Å) and four longer (2.85 Å) Au–Sn bond lengths. In the fourth Au site, Au is bonded in a 9-coordinate geometry to four equivalent Sr and five Sn atoms. There are one shorter (2.71 Å) and four longer (2.83 Å) Au–Sn bond lengths. In the fifth Au site, Au is bonded in a 4-coordinate geometry to four equivalent Sr and four equivalent Sn atoms. All Au–Sn bond lengths are 2.81 Å. In the sixth Au site, Au is bonded to four Sr and eight Sn atoms to form distorted AuSr4Sn8 tetrahedra that share corners with four equivalent AuSr4Sn8 tetrahedra, corners with twelve SnSr4Au4 tetrahedra, edges with two equivalent SnSr4Au4 tetrahedra, faces with four equivalent SnSr4Sn4Au4 cuboctahedra, and faces with four equivalent AuSr4Sn8 tetrahedra. There are four shorter (2.91 Å) and four longer (3.41 Å) Au–Sn bond lengths. In the seventh Au site, Au is bonded in a 4-coordinate geometry to four equivalent Sr and four equivalent Sn atoms. All Au–Sn bond lengths are 2.81 Å. There are five inequivalent Sn sites. In the first Sn site, Sn is bonded in a 3-coordinate geometry to four equivalent Sr, three Au, and two equivalent Sn atoms. Both Sn–Sn bond lengths are 2.91 Å. In the second Sn site, Sn is bonded in a 9-coordinate geometry to four equivalent Sr and five Au atoms. In the third Sn site, Sn is bonded to four Sr and four Au atoms to form distorted SnSr4Au4 tetrahedra that share corners with two equivalent SnSr4Sn4Au4 cuboctahedra, corners with four equivalent AuSr4Sn8 tetrahedra, an edgeedge with one SnSr4Sn4Au4 cuboctahedra, edges with four equivalent SnSr4Au4 tetrahedra, and faces with four equivalent SnSr4Au4 tetrahedra. In the fourth Sn site, Sn is bonded to four Sr and four Au atoms to form distorted SnSr4Au4 tetrahedra that share corners with four equivalent SnSr4Sn4Au4 cuboctahedra, corners with two equivalent AuSr4Sn8 tetrahedra, an edgeedge with one AuSr4Sn8 tetrahedra, edges with four equivalent SnSr4Au4 tetrahedra, and faces with four equivalent SnSr4Au4 tetrahedra. In the fifth Sn site, Sn is bonded to four Sr, four equivalent Au, and four equivalent Sn atoms to form SnSr4Sn4Au4 cuboctahedra that share corners with four equivalent SnSr4Sn4Au4 cuboctahedra, corners with twelve SnSr4Au4 tetrahedra, edges with two equivalent SnSr4Au4 tetrahedra, faces with four equivalent SnSr4Sn4Au4 cuboctahedra, and faces with four equivalent AuSr4Sn8 tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on Sr10Fe10O27 by Materials Project

Sr10Fe10O27 crystallizes in the orthorhombic Pmm2 space group. The structure is three-dimensional. there are five inequivalent Sr sites. In the first Sr site, Sr is bonded in a 11-coordinate geometry to eleven O atoms. There are a spread of Sr–O bond distances ranging from 2.65–3.04 Å. In the second Sr site, Sr is bonded in a distorted q6 geometry to ten O atoms. There are a spread of Sr–O bond distances ranging from 2.73–2.78 Å. In the third Sr site, Sr is bonded in a distorted q6 geometry to eleven O atoms. There are a spread of Sr–O bond distances ranging from 2.69–2.84 Å. In the fourth Sr site, Sr is bonded to twelve O atoms to form SrO12 cuboctahedra that share corners with four equivalent SrO12 cuboctahedra, faces with four equivalent SrO12 cuboctahedra, faces with six FeO6 octahedra, and faces with two equivalent FeO5 trigonal bipyramids. There are a spread of Sr–O bond distances ranging from 2.73–3.11 Å. In the fifth Sr site, Sr is bonded in a distorted q6 geometry to ten O atoms. There are a spread of Sr–O bond distances ranging from 2.65–2.73 Å. There are ten inequivalent Fe sites. In the first Fe site, Fe is bonded to five O atoms to form FeO5 trigonal bipyramids that share corners with two equivalent FeO6 octahedra and corners with two equivalent FeO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 10°. There are a spread of Fe–O bond distances ranging from 1.91–1.98 Å. In the second Fe site, Fe is bonded in a square co-planar geometry to four O atoms. There are a spread of Fe–O bond distances ranging from 1.86–1.88 Å. In the third Fe site, Fe is bonded to six O atoms to form corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. There are a spread of Fe–O bond distances ranging from 1.93–2.08 Å. In the fourth Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with five FeO6 octahedra, a cornercorner with one FeO5 trigonal bipyramid, and faces with four equivalent SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Fe–O bond distances ranging from 1.93–1.99 Å. In the fifth Fe site, Fe is bonded to five O atoms to form FeO5 trigonal bipyramids that share corners with three FeO6 octahedra, corners with two equivalent FeO5 trigonal bipyramids, and faces with four equivalent SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–11°. There are a spread of Fe–O bond distances ranging from 1.88–1.98 Å. In the sixth Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with four FeO6 octahedra and corners with two equivalent FeO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 0–3°. There are a spread of Fe–O bond distances ranging from 1.93–2.05 Å. In the seventh Fe site, Fe is bonded to six O atoms to form corner-sharing FeO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are a spread of Fe–O bond distances ranging from 1.93–2.08 Å. In the eighth Fe site, Fe is bonded in a square co-planar geometry to four O atoms. There is one shorter (1.85 Å) and three longer (1.88 Å) Fe–O bond length. In the ninth Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with five FeO6 octahedra and faces with four equivalent SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Fe–O bond distances ranging from 1.93–2.05 Å. In the tenth Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with four FeO6 octahedra, corners with two equivalent FeO5 trigonal bipyramids, and faces with four equivalent SrO12 cuboctahedra. The corner-sharing octahedral tilt angles are 0°. There are a spread of Fe–O bond distances ranging from 1.92–2.06 Å. There are twenty-two inequivalent O sites. In the first O site, O is bonded to four Sr and two Fe atoms to form a mixture of distorted face, edge, and corner-sharing OSr4Fe2 octahedra. The corner-sharing octahedra tilt angles range from 4–56°. In the second O site, O is bonded to four Sr and two Fe atoms to form a mixture of distorted face, edge, and corner-sharing OSr4Fe2 octahedra. The corner-sharing octahedra tilt angles range from 1–65°. In the third O site, O is bonded to four Sr and two Fe atoms to form a mixture of distorted face, edge, and corner-sharing OSr4Fe2 octahedra. The corner-sharing octahedra tilt angles range from 1–68°. In the fourth O site, O is bonded to four Sr and two Fe atoms to form a mixture of distorted face, edge, and corner-sharing OSr4Fe2 octahedra. The corner-sharing octahedra tilt angles range from 1–59°. In the fifth O site, O is bonded in a 6-coordinate geometry to four Sr and two Fe atoms. In the sixth O site, O is bonded in a distorted linear geometry to four equivalent Sr and two Fe atoms. In the seventh O site, O is bonded to four equivalent Sr and two Fe atoms to form a mixture of distorted face, edge, and corner-sharing OSr4Fe2 octahedra. The corner-sharing octahedra tilt angles range from 0–65°. In the eighth O site, O is bonded to four equivalent Sr and two Fe atoms to form a mixture of distorted face, edge, and corner-sharing OSr4Fe2 octahedra. The corner-sharing octahedra tilt angles range from 0–59°. In the ninth O site, O is bonded in a distorted linear geometry to four equivalent Sr and two Fe atoms. In the tenth O site, O is bonded to four equivalent Sr and two Fe atoms to form a mixture of face, edge, and corner-sharing OSr4Fe2 octahedra. The corner-sharing octahedra tilt angles range from 0–56°. In the eleventh O site, O is bonded to four equivalent Sr and two Fe atoms to form a mixture of distorted face, edge, and corner-sharing OSr4Fe2 octahedra. The corner-sharing octahedra tilt angles range from 0–64°. In the twelfth O site, O is bonded to four equivalent Sr and two Fe atoms to form a mixture of distorted face, edge, and corner-sharing OSr4Fe2 octahedra. The corner-sharing octahedra tilt angles range from 0–68°. In the thirteenth O site, O is bonded to four equivalent Sr and two Fe atoms to form a mixture of distorted face, edge, and corner-sharing OSr4Fe2 octahedra. The corner-sharing octahedra tilt angles range from 0–58°. In the fourteenth O site, O is bonded to four equivalent Sr and two Fe atoms to form a mixture of distorted face, edge, and corner-sharing OSr4Fe2 octahedra. The corner-sharing octahedra tilt angles range from 0–56°. In the fifteenth O site, O is bonded in a 2-coordinate geometry to four Sr and two equivalent Fe atoms. In the sixteenth O site, O is bonded in a distorted linear geometry to four Sr and two equivalent Fe atoms. In the seventeenth O site, O is bonded to four Sr and two equivalent Fe atoms to form a mixture of distorted face, edge, and corner-sharing OSr4Fe2 octahedra. The corner-sharing octahedra tilt angles range from 0–58°. In the eighteenth O site, O is bonded in a 2-coordinate geometry to four Sr and two equivalent Fe atoms. In the nineteenth O site, O is bonded to four Sr and two equivalent Fe atoms to form a mixture of distorted face, edge, and corner-sharing OSr4Fe2 octahedra. The corner-sharing octahedra tilt angles range from 3–55°. In the twentieth O site, O is bonded in a distorted linear geometry to four Sr and two equivalent Fe atoms. In the twenty-first O site, O is bonded to four Sr and two equivalent Fe atoms to form a mixture of distorted face, edge, and corner-sharing OSr4Fe2 octahedra. The corner-sharing octahedra tilt angles range from 1–63°. In the twenty-second O site, O is bonded to four Sr and two equivalent Fe atoms to form a mixture of distorted face, edge, and corner-sharing OSr4Fe2 octahedra. The corner-sharing octahedra tilt angles range from 0–59°.

36 MATERIALS SCIENCE↗

Materials Data on NaEu2AlP3 by Materials Project

NaEu2AlP3 crystallizes in the monoclinic C2/m space group. The structure is three-dimensional. there are two inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded in a 2-coordinate geometry to six P3- atoms. There are a spread of Na–P bond distances ranging from 2.80–3.29 Å. In the second Na1+ site, Na1+ is bonded to four P3- atoms to form distorted NaP4 trigonal pyramids that share corners with four equivalent EuP6 octahedra, corners with two equivalent EuP7 pentagonal bipyramids, corners with five AlP4 tetrahedra, edges with two equivalent EuP6 octahedra, and faces with two equivalent EuP7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 48–89°. There are a spread of Na–P bond distances ranging from 2.66–3.14 Å. There are three inequivalent Eu+2.50+ sites. In the first Eu+2.50+ site, Eu+2.50+ is bonded to seven P3- atoms to form distorted EuP7 pentagonal bipyramids that share corners with seven EuP6 octahedra, corners with three AlP4 tetrahedra, a cornercorner with one NaP4 trigonal pyramid, edges with two EuP6 octahedra, edges with two equivalent EuP7 pentagonal bipyramids, edges with two AlP4 tetrahedra, a faceface with one EuP6 octahedra, faces with three equivalent EuP7 pentagonal bipyramids, and a faceface with one NaP4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 27–52°. There are a spread of Eu–P bond distances ranging from 3.14–3.23 Å. In the second Eu+2.50+ site, Eu+2.50+ is bonded to six P3- atoms to form EuP6 octahedra that share corners with two equivalent EuP6 octahedra, corners with eight equivalent EuP7 pentagonal bipyramids, corners with two equivalent AlP4 tetrahedra, edges with two equivalent EuP6 octahedra, edges with two equivalent EuP7 pentagonal bipyramids, edges with two equivalent AlP4 tetrahedra, edges with two equivalent NaP4 trigonal pyramids, and faces with two equivalent EuP7 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 38°. There are two shorter (2.96 Å) and four longer (3.13 Å) Eu–P bond lengths. In the third Eu+2.50+ site, Eu+2.50+ is bonded to six P3- atoms to form EuP6 octahedra that share corners with two equivalent EuP6 octahedra, corners with six equivalent EuP7 pentagonal bipyramids, corners with two equivalent AlP4 tetrahedra, corners with four equivalent NaP4 trigonal pyramids, edges with two equivalent EuP6 octahedra, edges with two equivalent EuP7 pentagonal bipyramids, and edges with four AlP4 tetrahedra. The corner-sharing octahedral tilt angles are 38°. There are a spread of Eu–P bond distances ranging from 2.99–3.12 Å. There are two inequivalent Al3+ sites. In the first Al3+ site, Al3+ is bonded to four P3- atoms to form AlP4 tetrahedra that share corners with four EuP6 octahedra, corners with two equivalent EuP7 pentagonal bipyramids, corners with two equivalent NaP4 trigonal pyramids, edges with two equivalent EuP6 octahedra, edges with two equivalent EuP7 pentagonal bipyramids, and edges with two AlP4 tetrahedra. The corner-sharing octahedral tilt angles are 52°. There are three shorter (2.38 Å) and one longer (2.46 Å) Al–P bond lengths. In the second Al3+ site, Al3+ is bonded to four P3- atoms to form AlP4 tetrahedra that share corners with four equivalent EuP7 pentagonal bipyramids, corners with three equivalent NaP4 trigonal pyramids, edges with four EuP6 octahedra, edges with two equivalent EuP7 pentagonal bipyramids, and an edgeedge with one AlP4 tetrahedra. There are a spread of Al–P bond distances ranging from 2.34–2.46 Å. There are five inequivalent P3- sites. In the first P3- site, P3- is bonded in a 7-coordinate geometry to two Na1+, three Eu+2.50+, and two Al3+ atoms. In the second P3- site, P3- is bonded in a 6-coordinate geometry to two equivalent Na1+, four Eu+2.50+, and two equivalent Al3+ atoms. In the third P3- site, P3- is bonded in a 1-coordinate geometry to six Eu+2.50+, one Al3+, and one P3- atom. The P–P bond length is 2.32 Å. In the fourth P3- site, P3- is bonded in a 8-coordinate geometry to three Na1+, four Eu+2.50+, and one Al3+ atom. In the fifth P3- site, P3- is bonded in a 8-coordinate geometry to one Na1+, six Eu+2.50+, and one P3- atom.

36 MATERIALS SCIENCE↗

Materials Data on Li4Ti4V4CrO18 by Materials Project

Li4Ti4V4CrO18 crystallizes in the orthorhombic Pbam space group. The structure is three-dimensional. there are two inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share corners with two equivalent CrO6 octahedra, corners with three equivalent TiO6 octahedra, an edgeedge with one TiO6 octahedra, an edgeedge with one CrO6 octahedra, edges with two equivalent VO6 octahedra, and edges with two equivalent LiO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 14–77°. There are a spread of Li–O bond distances ranging from 2.08–2.31 Å. In the second Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 2.22–2.42 Å. There are two inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two equivalent VO6 octahedra, corners with three equivalent LiO5 trigonal bipyramids, edges with four TiO6 octahedra, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 50°. There are a spread of Ti–O bond distances ranging from 1.91–2.11 Å. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with four equivalent VO5 square pyramids and edges with four TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.95–2.00 Å. There are two inequivalent V+3.50+ sites. In the first V+3.50+ site, V+3.50+ is bonded to five O2- atoms to form distorted VO5 square pyramids that share corners with two equivalent VO6 octahedra, corners with four equivalent TiO6 octahedra, and edges with two equivalent VO5 square pyramids. The corner-sharing octahedra tilt angles range from 50–70°. There are a spread of V–O bond distances ranging from 2.01–2.03 Å. In the second V+3.50+ site, V+3.50+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two equivalent TiO6 octahedra, corners with two equivalent VO5 square pyramids, edges with two equivalent VO6 octahedra, edges with two equivalent CrO6 octahedra, and edges with two equivalent LiO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 50°. There are a spread of V–O bond distances ranging from 1.96–2.03 Å. Cr2+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with four equivalent LiO5 trigonal bipyramids, edges with two equivalent CrO6 octahedra, edges with four equivalent VO6 octahedra, and edges with two equivalent LiO5 trigonal bipyramids. There are four shorter (2.02 Å) and two longer (2.05 Å) Cr–O bond lengths. There are nine inequivalent O2- sites. In the first O2- site, O2- is bonded to two equivalent Li1+, one V+3.50+, and two equivalent Cr2+ atoms to form a mixture of edge and corner-sharing OLi2VCr2 square pyramids. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Ti4+ and two equivalent V+3.50+ atoms. In the third O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti4+ atoms. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, one Ti4+, and two equivalent V+3.50+ atoms. In the fifth O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent V+3.50+ and one Cr2+ atom. In the sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two equivalent Li1+ and two equivalent Ti4+ atoms. In the seventh O2- site, O2- is bonded to two equivalent Li1+ and three Ti4+ atoms to form distorted edge-sharing OLi2Ti3 trigonal bipyramids. In the eighth O2- site, O2- is bonded in a 5-coordinate geometry to two equivalent Li1+ and three V+3.50+ atoms. In the ninth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two equivalent Ti4+, and one V+3.50+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li9Mn2Co5O16 by Materials Project

Li9Mn2Co5O16 is Caswellsilverite-derived structured and crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are nine inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share 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 7–9°. There are a spread of Li–O bond distances ranging from 1.99–2.22 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two CoO6 octahedra, corners with four equivalent LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with two equivalent CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–13°. There are a spread of Li–O bond distances ranging from 2.02–2.21 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 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 5–7°. There are a spread of Li–O bond distances ranging from 2.09–2.15 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two MnO6 octahedra, corners with four equivalent CoO6 octahedra, edges with four CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–14°. There are a spread of Li–O bond distances ranging from 2.13–2.27 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two 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 3–11°. There are a spread of Li–O bond distances ranging from 2.05–2.32 Å. In the sixth 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 3–8°. There are a spread of Li–O bond distances ranging from 2.11–2.27 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six CoO6 octahedra, edges with 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 four shorter (2.16 Å) and two longer (2.18 Å) Li–O bond lengths. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with 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 5–9°. There are a spread of Li–O bond distances ranging from 2.14–2.26 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 two equivalent MnO6 octahedra, edges with two equivalent CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–13°. There are a spread of Li–O bond distances ranging from 2.04–2.16 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 four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–10°. There are a spread of Mn–O bond distances ranging from 1.97–2.17 Å. In the second Mn+4.50+ site, Mn+4.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with two equivalent CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–11°. There are a spread of Mn–O bond distances ranging from 1.83–2.10 Å. There are five inequivalent Co+2.80+ sites. In the first Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form distorted CoO6 octahedra that share corners with six LiO6 octahedra, edges with four CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–14°. There are a spread of Co–O bond distances ranging from 1.78–2.35 Å. In the second Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 3–7°. There are a spread of Co–O bond distances ranging from 1.99–2.14 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 4–7°. There are a spread of Co–O bond distances ranging from 1.99–2.08 Å. In the fourth Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with 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 1.95–2.25 Å. In the fifth Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–9°. There are a spread of Co–O bond distances ranging from 1.93–2.28 Å. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded to three Li1+, two equivalent Mn+4.50+, and one Co+2.80+ atom to form OLi3Mn2Co octahedra that share corners with six OLi4Co2 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedral tilt angles are 1°. In the second O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form OLi3Co3 octahedra that share corners with six OLi4Co2 octahedra and edges with twelve OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–16°. In the third O2- site, O2- is bonded to four Li1+ and two equivalent Mn+4.50+ 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 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 OLi5Mn octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 1–6°. In the fifth O2- site, O2- is bonded to five Li1+ and one Co+2.80+ atom to form OLi5Co octahedra that share corners with six OLi5Mn octahedra and edges with twelve OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 4–6°. In the sixth O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two equivalent Co+2.80+ atoms to form OLi3MnCo2 octahedra that share corners with six OLi5Mn octahedra and edges with twelve OLi4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 1–4°. 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 OLi3Mn2Co octahedra and edges with twelve OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 1–2°. In the eighth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form OLi3Co3 octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 0–2°. In the ninth O2- site, O2- is bonded to four Li1+ and two equivalent Co+2.80+ atoms to form OLi4Co2 octahedra that share corners with six OLi3Mn2Co octahedra and edges with twelve OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–16°. In the tenth 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 OLi4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 1–10°. In the eleventh O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form OLi3Co3 octahedra that share corners with six OLi3Mn2Co octahedra and edges with twelve OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 1–2°. In the twelfth O2- site, O2- is bonded to five Li1+ and one Mn+4.50+ atom to form OLi5Mn octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 4–6°. 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 OLi5Co octahedra and edges with twelve OLi4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 1–4°. 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 0–2°. 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 corner and edge-sharing OLi3Mn2Co octahedra. The corner-sharing octahedral tilt angles are 1°. In the sixteenth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form distorted OLi3Co3 octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 1–6°.

36 MATERIALS SCIENCE↗

Materials Data on Yb10Ni28As19 by Materials Project

Yb10Ni28As19 crystallizes in the hexagonal P-6 space group. The structure is three-dimensional. there are four inequivalent Yb2+ sites. In the first Yb2+ site, Yb2+ is bonded to six As3- atoms to form distorted YbAs6 pentagonal pyramids that share corners with four equivalent YbAs6 pentagonal pyramids, corners with two equivalent NiAs5 square pyramids, corners with twelve NiAs4 tetrahedra, edges with two equivalent YbAs6 pentagonal pyramids, edges with eight NiAs4 tetrahedra, and faces with two equivalent YbAs6 pentagonal pyramids. There are a spread of Yb–As bond distances ranging from 3.02–3.04 Å. In the second Yb2+ site, Yb2+ is bonded to six As3- atoms to form distorted YbAs6 pentagonal pyramids that share corners with four equivalent YbAs6 pentagonal pyramids, corners with two equivalent NiAs5 square pyramids, corners with twelve NiAs4 tetrahedra, edges with two equivalent YbAs6 pentagonal pyramids, an edgeedge with one NiAs5 square pyramid, edges with seven NiAs4 tetrahedra, and faces with two equivalent YbAs6 pentagonal pyramids. There are a spread of Yb–As bond distances ranging from 2.97–3.05 Å. In the third Yb2+ site, Yb2+ is bonded to six equivalent As3- atoms to form distorted YbAs6 pentagonal pyramids that share corners with six equivalent NiAs5 square pyramids, corners with twelve NiAs4 tetrahedra, edges with three equivalent NiAs5 square pyramids, edges with nine NiAs4 tetrahedra, and faces with two equivalent YbAs6 pentagonal pyramids. All Yb–As bond lengths are 2.96 Å. In the fourth Yb2+ site, Yb2+ is bonded to six As3- atoms to form distorted YbAs6 pentagonal pyramids that share corners with eight YbAs6 pentagonal pyramids, corners with eight NiAs4 tetrahedra, edges with four YbAs6 pentagonal pyramids, edges with four NiAs4 tetrahedra, and faces with two equivalent YbAs6 pentagonal pyramids. There are four shorter (3.02 Å) and two longer (3.04 Å) Yb–As bond lengths. There are ten inequivalent Ni+1.32+ sites. In the first Ni+1.32+ site, Ni+1.32+ is bonded to four As3- atoms to form NiAs4 tetrahedra that share corners with six YbAs6 pentagonal pyramids, a cornercorner with one NiAs5 square pyramid, corners with six NiAs4 tetrahedra, edges with four YbAs6 pentagonal pyramids, and edges with four NiAs4 tetrahedra. There are a spread of Ni–As bond distances ranging from 2.39–2.44 Å. In the second Ni+1.32+ site, Ni+1.32+ is bonded to four As3- atoms to form NiAs4 tetrahedra that share corners with two equivalent YbAs6 pentagonal pyramids, corners with two equivalent NiAs5 square pyramids, corners with twelve NiAs4 tetrahedra, edges with three YbAs6 pentagonal pyramids, edges with two equivalent NiAs5 square pyramids, and edges with three NiAs4 tetrahedra. There are a spread of Ni–As bond distances ranging from 2.33–2.45 Å. In the third Ni+1.32+ site, Ni+1.32+ is bonded to four As3- atoms to form NiAs4 tetrahedra that share corners with six YbAs6 pentagonal pyramids, corners with two equivalent NiAs5 square pyramids, corners with six NiAs4 tetrahedra, edges with three YbAs6 pentagonal pyramids, an edgeedge with one NiAs5 square pyramid, and edges with four NiAs4 tetrahedra. There are a spread of Ni–As bond distances ranging from 2.38–2.43 Å. In the fourth Ni+1.32+ site, Ni+1.32+ is bonded to four As3- atoms to form NiAs4 tetrahedra that share corners with six YbAs6 pentagonal pyramids, corners with two equivalent NiAs5 square pyramids, corners with five NiAs4 tetrahedra, edges with four YbAs6 pentagonal pyramids, and edges with four NiAs4 tetrahedra. There are a spread of Ni–As bond distances ranging from 2.37–2.41 Å. In the fifth Ni+1.32+ site, Ni+1.32+ is bonded in a trigonal planar geometry to three As3- atoms. There are a spread of Ni–As bond distances ranging from 2.27–2.31 Å. In the sixth Ni+1.32+ site, Ni+1.32+ is bonded to four As3- atoms to form NiAs4 tetrahedra that share corners with four YbAs6 pentagonal pyramids, corners with three equivalent NiAs5 square pyramids, corners with eight NiAs4 tetrahedra, edges with three YbAs6 pentagonal pyramids, an edgeedge with one NiAs5 square pyramid, and edges with four NiAs4 tetrahedra. There are one shorter (2.38 Å) and three longer (2.40 Å) Ni–As bond lengths. In the seventh Ni+1.32+ site, Ni+1.32+ is bonded to four As3- atoms to form NiAs4 tetrahedra that share corners with four YbAs6 pentagonal pyramids, corners with eleven NiAs4 tetrahedra, edges with three YbAs6 pentagonal pyramids, edges with two equivalent NiAs5 square pyramids, and edges with three NiAs4 tetrahedra. There are a spread of Ni–As bond distances ranging from 2.33–2.43 Å. In the eighth Ni+1.32+ site, Ni+1.32+ is bonded to four As3- atoms to form NiAs4 tetrahedra that share corners with eight YbAs6 pentagonal pyramids, corners with six NiAs4 tetrahedra, edges with two YbAs6 pentagonal pyramids, edges with two equivalent NiAs5 square pyramids, and edges with four NiAs4 tetrahedra. There are a spread of Ni–As bond distances ranging from 2.32–2.35 Å. In the ninth Ni+1.32+ site, Ni+1.32+ is bonded in a trigonal planar geometry to three equivalent As3- atoms. All Ni–As bond lengths are 2.34 Å. In the tenth Ni+1.32+ site, Ni+1.32+ is bonded to five As3- atoms to form distorted NiAs5 square pyramids that share corners with six YbAs6 pentagonal pyramids, corners with ten NiAs4 tetrahedra, edges with two YbAs6 pentagonal pyramids, edges with two equivalent NiAs5 square pyramids, and edges with eight NiAs4 tetrahedra. There are a spread of Ni–As bond distances ranging from 2.39–2.70 Å. There are seven inequivalent As3- sites. In the first As3- site, As3- is bonded in a 3-coordinate geometry to six equivalent Yb2+ and three equivalent Ni+1.32+ atoms. In the second As3- site, As3- is bonded in a 9-coordinate geometry to two equivalent Yb2+ and seven Ni+1.32+ atoms. In the third As3- site, As3- is bonded in a 9-coordinate geometry to four equivalent Yb2+ and five Ni+1.32+ atoms. In the fourth As3- site, As3- is bonded in a 9-coordinate geometry to two equivalent Yb2+ and seven Ni+1.32+ atoms. In the fifth As3- site, As3- is bonded in a 9-coordinate geometry to two equivalent Yb2+ and seven Ni+1.32+ atoms. In the sixth As3- site, As3- is bonded in a 9-coordinate geometry to four Yb2+ and five Ni+1.32+ atoms. In the seventh As3- site, As3- is bonded in a 9-coordinate geometry to four Yb2+ and five Ni+1.32+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on SrGdCuSe3 by Materials Project

SrCuGdSe3 crystallizes in the orthorhombic Pnma space group. The structure is three-dimensional. Sr2+ is bonded to seven Se2- atoms to form distorted SrSe7 pentagonal bipyramids that share corners with six equivalent GdSe6 octahedra, corners with three equivalent CuSe4 tetrahedra, edges with four equivalent GdSe6 octahedra, edges with two equivalent SrSe7 pentagonal bipyramids, edges with three equivalent CuSe4 tetrahedra, and faces with two equivalent SrSe7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 23–70°. There are a spread of Sr–Se bond distances ranging from 3.14–3.44 Å. Gd3+ is bonded to six Se2- atoms to form GdSe6 octahedra that share corners with two equivalent GdSe6 octahedra, corners with six equivalent SrSe7 pentagonal bipyramids, edges with two equivalent GdSe6 octahedra, edges with four equivalent SrSe7 pentagonal bipyramids, and edges with four equivalent CuSe4 tetrahedra. The corner-sharing octahedral tilt angles are 43°. There are a spread of Gd–Se bond distances ranging from 2.90–2.92 Å. Cu1+ is bonded to four Se2- atoms to form CuSe4 tetrahedra that share corners with three equivalent SrSe7 pentagonal bipyramids, corners with two equivalent CuSe4 tetrahedra, edges with four equivalent GdSe6 octahedra, and edges with three equivalent SrSe7 pentagonal bipyramids. There are a spread of Cu–Se bond distances ranging from 2.47–2.53 Å. There are three inequivalent Se2- sites. In the first Se2- site, Se2- is bonded to two equivalent Sr2+, two equivalent Gd3+, and two equivalent Cu1+ atoms to form distorted SeSr2Gd2Cu2 octahedra that share corners with two equivalent SeSr2Gd2Cu2 octahedra, corners with four equivalent SeSr2Gd2Cu square pyramids, edges with two equivalent SeSr2Gd2Cu2 octahedra, and edges with three equivalent SeSr2Gd2Cu square pyramids. The corner-sharing octahedral tilt angles are 3°. In the second Se2- site, Se2- is bonded in a 6-coordinate geometry to three equivalent Sr2+, two equivalent Gd3+, and one Cu1+ atom. In the third Se2- site, Se2- is bonded to two equivalent Sr2+, two equivalent Gd3+, and one Cu1+ atom to form distorted SeSr2Gd2Cu square pyramids that share corners with four equivalent SeSr2Gd2Cu2 octahedra, edges with three equivalent SeSr2Gd2Cu2 octahedra, and edges with two equivalent SeSr2Gd2Cu square pyramids. The corner-sharing octahedra tilt angles range from 46–88°.

36 MATERIALS SCIENCE↗

Materials Data on Li9Mn2Co5O16 by Materials Project

Li9Mn2Co5O16 is Caswellsilverite-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are nine inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two 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 4–12°. There are a spread of Li–O bond distances ranging from 2.08–2.37 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two CoO6 octahedra, corners with four equivalent LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with two equivalent CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–12°. There are a spread of Li–O bond distances ranging from 2.01–2.21 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one MnO6 octahedra, corners with five CoO6 octahedra, edges with four CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–11°. There are a spread of Li–O bond distances ranging from 2.09–2.22 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one MnO6 octahedra, corners with four equivalent CoO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–9°. There are a spread of Li–O bond distances ranging from 2.05–2.20 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one MnO6 octahedra, corners with five CoO6 octahedra, edges with 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 2.09–2.18 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 2.10–2.14 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six CoO6 octahedra, edges with 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 2.11–2.19 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one 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 6–9°. There are a spread of Li–O bond distances ranging from 2.00–2.20 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 7–12°. There are a spread of Li–O bond distances ranging from 1.99–2.26 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 two equivalent CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–12°. There are a spread of Mn–O bond distances ranging from 1.81–2.05 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 6–7°. There are a spread of Mn–O bond distances ranging from 1.95–2.23 Å. There are five inequivalent Co+2.80+ sites. In the first Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with four CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–11°. There are a spread of Co–O bond distances ranging from 1.74–2.23 Å. In the second Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 5–9°. There are a spread of Co–O bond distances ranging from 1.90–2.19 Å. In the third Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with 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 1.90–2.21 Å. In the fourth Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with 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 1.92–2.20 Å. In the fifth Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with 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 1.91–2.21 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 OLi3Mn2Co octahedra that share corners with six OLi4Mn2 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 3–7°. In the second O2- site, O2- is bonded to five Li1+ and one Mn+4.50+ atom to form OLi5Mn octahedra that share corners with six OLi5Co octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 2–6°. In the third O2- site, O2- is bonded to four Li1+ and two equivalent Co+2.80+ atoms to form OLi4Co2 octahedra that share corners with six OLi4Mn2 octahedra and edges with twelve OLi5Mn octahedra. The corner-sharing octahedra tilt angles range from 2–9°. 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 OLi5Co octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 1–5°. 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 OLi4Mn2 octahedra and edges with twelve OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 0–5°. 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 corner and edge-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 OLi3Co3 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedral tilt angles are 1°. In the eighth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form OLi3Co3 octahedra that share corners with six OLi5Co octahedra and edges with twelve OLi4Co2 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the ninth O2- site, O2- is bonded to four Li1+ and two equivalent Mn+4.50+ atoms to form a mixture of corner and edge-sharing OLi4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 3–7°. In the tenth O2- site, O2- is bonded to five Li1+ and one Co+2.80+ atom to form OLi5Co octahedra that share corners with six OLi5Mn octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 2–7°. In the eleventh O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form OLi3Co3 octahedra that share corners with six OLi3Mn2Co octahedra and edges with twelve OLi5Mn octahedra. The corner-sharing octahedra tilt angles range from 1–9°. 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 OLi5Mn octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 1–6°. In the thirteenth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form OLi3Co3 octahedra that share corners with six OLi3Mn2Co octahedra and edges with twelve OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. 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 0–1°. 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 OLi4Co2 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 0–2°. In the sixteenth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form OLi3Co3 octahedra that share corners with six OLi5Mn octahedra and edges with twelve OLi4Co2 octahedra. The corner-sharing octahedra tilt angles range from 0–5°.

36 MATERIALS SCIENCE↗

Materials Data on Al4Ni15Sb by Materials Project

Ni15Al4Sb is Uranium Silicide-derived structured and crystallizes in the tetragonal P4/mmm space group. The structure is three-dimensional. there are eight inequivalent Ni sites. In the first Ni site, Ni is bonded to eight Ni and four equivalent Sb atoms to form NiNi8Sb4 cuboctahedra that share corners with twelve NiNi8Sb4 cuboctahedra, edges with eight equivalent AlNi12 cuboctahedra, edges with sixteen NiAl2Ni8Sb2 cuboctahedra, faces with four equivalent SbNi12 cuboctahedra, and faces with fourteen NiNi8Sb4 cuboctahedra. All Ni–Ni bond lengths are 2.62 Å. All Ni–Sb bond lengths are 2.55 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 twelve NiNi8Sb4 cuboctahedra, edges with four equivalent AlNi12 cuboctahedra, edges with four equivalent SbNi12 cuboctahedra, edges with sixteen NiAl2Ni8Sb2 cuboctahedra, faces with four equivalent AlNi12 cuboctahedra, and faces with fourteen NiNi8Sb4 cuboctahedra. There are four shorter (2.51 Å) and four longer (2.52 Å) Ni–Ni bond lengths. All Ni–Al bond lengths are 2.55 Å. In the third Ni site, Ni is bonded to eight Ni and four equivalent Al atoms to form NiAl4Ni8 cuboctahedra that share corners with twelve NiAl4Ni8 cuboctahedra, edges with eight AlNi12 cuboctahedra, edges with sixteen NiAl4Ni8 cuboctahedra, faces with four equivalent AlNi12 cuboctahedra, and faces with fourteen NiAl4Ni8 cuboctahedra. There are four shorter (2.51 Å) and four longer (2.53 Å) Ni–Ni bond lengths. All Ni–Al bond lengths are 2.55 Å. In the fourth Ni site, Ni is bonded to eight Ni, two equivalent Al, and two equivalent Sb atoms to form distorted NiAl2Ni8Sb2 cuboctahedra that share corners with twelve NiAl2Ni8Sb2 cuboctahedra, edges with four equivalent AlNi12 cuboctahedra, edges with four equivalent SbNi12 cuboctahedra, edges with sixteen NiNi8Sb4 cuboctahedra, faces with two equivalent AlNi12 cuboctahedra, faces with two equivalent SbNi12 cuboctahedra, and faces with fourteen NiNi8Sb4 cuboctahedra. All Ni–Ni bond lengths are 2.55 Å. Both Ni–Al bond lengths are 2.53 Å. Both Ni–Sb bond lengths are 2.62 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 NiAl2Ni8Sb2 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 2.55 Å. There are two shorter (2.50 Å) and two longer (2.51 Å) Ni–Al bond lengths. In the sixth Ni site, Ni is bonded to eight 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 NiAl4Ni8 cuboctahedra, faces with four equivalent AlNi12 cuboctahedra, and faces with fourteen NiAl4Ni8 cuboctahedra. All Ni–Ni bond lengths are 2.55 Å. All Ni–Al bond lengths are 2.53 Å. In the seventh Ni site, Ni is bonded to eight Ni and four Al atoms to form distorted NiAl4Ni8 cuboctahedra that share corners with twelve NiAl2Ni8Sb2 cuboctahedra, edges with eight AlNi12 cuboctahedra, edges with sixteen NiAl4Ni8 cuboctahedra, faces with four AlNi12 cuboctahedra, and faces with fourteen NiAl4Ni8 cuboctahedra. There are two shorter (2.50 Å) and two longer (2.51 Å) Ni–Al bond lengths. In the eighth Ni site, Ni is bonded to eight Ni, two equivalent Al, and two equivalent Sb atoms to form distorted NiAl2Ni8Sb2 cuboctahedra that share corners with twelve NiAl2Ni8Sb2 cuboctahedra, edges with four equivalent AlNi12 cuboctahedra, edges with four equivalent SbNi12 cuboctahedra, edges with sixteen NiNi8Sb4 cuboctahedra, faces with two equivalent AlNi12 cuboctahedra, faces with two equivalent SbNi12 cuboctahedra, and faces with fourteen NiNi8Sb4 cuboctahedra. There are two shorter (2.51 Å) and four longer (2.55 Å) Ni–Ni bond lengths. Both Ni–Al bond lengths are 2.53 Å. Both Ni–Sb bond lengths are 2.62 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 SbNi12 cuboctahedra, corners with eight AlNi12 cuboctahedra, edges with twenty-four NiNi8Sb4 cuboctahedra, a faceface with one SbNi12 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. Sb is bonded to twelve Ni atoms to form SbNi12 cuboctahedra that share corners with four equivalent SbNi12 cuboctahedra, corners with eight equivalent AlNi12 cuboctahedra, edges with twenty-four NiAl2Ni8Sb2 cuboctahedra, faces with two equivalent AlNi12 cuboctahedra, faces with four equivalent SbNi12 cuboctahedra, and faces with twelve NiNi8Sb4 cuboctahedra.

36 MATERIALS SCIENCE↗

Materials Data on NaSr2NdTi4O12 by Materials Project

NaSr2NdTi4O12 crystallizes in the tetragonal P-42m space group. The structure is three-dimensional. Na1+ is bonded to twelve O2- atoms to form NaO12 cuboctahedra that share corners with four equivalent NaO12 cuboctahedra, corners with eight equivalent SrO12 cuboctahedra, faces with two equivalent SrO12 cuboctahedra, faces with four equivalent NdO12 cuboctahedra, and faces with eight equivalent TiO6 octahedra. There are a spread of Na–O bond distances ranging from 2.61–2.95 Å. There are two inequivalent Sr2+ sites. In the first Sr2+ site, Sr2+ is bonded to twelve O2- atoms to form SrO12 cuboctahedra that share corners with four equivalent SrO12 cuboctahedra, corners with eight equivalent NaO12 cuboctahedra, faces with two equivalent NdO12 cuboctahedra, faces with four equivalent SrO12 cuboctahedra, and faces with eight equivalent TiO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.62–2.94 Å. In the second Sr2+ site, Sr2+ is bonded to twelve O2- atoms to form distorted SrO12 cuboctahedra that share corners with four equivalent SrO12 cuboctahedra, corners with eight equivalent NdO12 cuboctahedra, faces with two equivalent NaO12 cuboctahedra, faces with four equivalent SrO12 cuboctahedra, and faces with eight equivalent TiO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.63–3.06 Å. Nd3+ is bonded to twelve O2- atoms to form distorted NdO12 cuboctahedra that share corners with four equivalent NdO12 cuboctahedra, corners with eight equivalent SrO12 cuboctahedra, faces with two equivalent SrO12 cuboctahedra, faces with four equivalent NaO12 cuboctahedra, and faces with eight equivalent TiO6 octahedra. There are a spread of Nd–O bond distances ranging from 2.49–2.93 Å. Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six equivalent TiO6 octahedra, faces with two equivalent NaO12 cuboctahedra, faces with two equivalent NdO12 cuboctahedra, and faces with four SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–19°. There are a spread of Ti–O bond distances ranging from 1.94–2.00 Å. There are four inequivalent O2- sites. In the first O2- site, O2- is bonded in a 2-coordinate geometry to one Na1+, two Sr2+, one Nd3+, and two equivalent Ti4+ atoms. In the second O2- site, O2- is bonded in a 2-coordinate geometry to one Na1+, two Sr2+, one Nd3+, and two equivalent Ti4+ atoms. In the third O2- site, O2- is bonded in a distorted linear geometry to two equivalent Na1+, two equivalent Nd3+, and two equivalent Ti4+ atoms. In the fourth O2- site, O2- is bonded in a distorted linear geometry to four Sr2+ and two equivalent Ti4+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Li9Mn2Co5O16 by Materials Project

Li9Mn2Co5O16 is Caswellsilverite-derived structured and crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are nine inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three MnO6 octahedra, corners with three CoO6 octahedra, edges with three equivalent MnO6 octahedra, edges with three equivalent CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–7°. There are a spread of Li–O bond distances ranging from 2.08–2.31 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent CoO6 octahedra, corners with three MnO6 octahedra, edges with three equivalent MnO6 octahedra, edges with three equivalent CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–9°. There are a spread of Li–O bond distances ranging from 2.06–2.23 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one CoO6 octahedra, corners with two equivalent MnO6 octahedra, edges with three equivalent MnO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 9–10°. There are a spread of Li–O bond distances ranging from 2.03–2.26 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one CoO6 octahedra, corners with two equivalent LiO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–11°. There are a spread of Li–O bond distances ranging from 2.06–2.56 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with three CoO6 octahedra, edges with three equivalent CoO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–13°. There are a spread of Li–O bond distances ranging from 2.05–2.36 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with five CoO6 octahedra, edges with six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 4–13°. There are a spread of Li–O bond distances ranging from 2.08–2.24 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one MnO6 octahedra, corners with five CoO6 octahedra, edges with six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 4–5°. There are a spread of Li–O bond distances ranging from 2.10–2.16 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with four CoO6 octahedra, edges with three equivalent MnO6 octahedra, edges with three equivalent CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–9°. There are a spread of Li–O bond distances ranging from 2.10–2.33 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 9–11°. 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 four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–7°. There are a spread of Mn–O bond distances ranging from 1.97–2.22 Å. In the second Mn+4.50+ site, Mn+4.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with two equivalent CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–10°. There are a spread of Mn–O bond distances ranging from 1.92–1.99 Å. There are five inequivalent Co+2.80+ sites. In the first Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent CoO6 octahedra, 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 2.01–2.11 Å. In the second 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 1.79–2.47 Å. In the third Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form distorted CoO6 octahedra that share corners with six LiO6 octahedra, edges with four CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–13°. There are a spread of Co–O bond distances ranging from 1.81–2.39 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 4–9°. There are a spread of Co–O bond distances ranging from 1.95–2.10 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 4–9°. There are a spread of Co–O bond distances ranging from 1.99–2.19 Å. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded to three Li1+, two equivalent Mn+4.50+, and one Co+2.80+ atom to form OLi3Mn2Co octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 1–3°. 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 OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 1–5°. In the third 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 2–6°. In the fourth O2- site, O2- is bonded in a 6-coordinate geometry to three Li1+, one Mn+4.50+, and two equivalent Co+2.80+ atoms. In the fifth 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 ten OLi5Co octahedra. The corner-sharing octahedra tilt angles range from 1–14°. In the sixth O2- site, O2- is bonded to four Li1+ and two equivalent Co+2.80+ atoms to form OLi4Co2 octahedra that share corners with six OLi4Co2 octahedra and edges with twelve OLi5Co octahedra. The corner-sharing octahedra tilt angles range from 1–15°. In the 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 OLi4Co2 octahedra. The corner-sharing octahedra tilt angles range from 1–6°. In the eighth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form OLi3Co3 octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 1–2°. In the ninth 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 five OLi3Mn2Co octahedra and edges with twelve OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 1–6°. In the tenth 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 four OLi3MnCo2 octahedra and edges with nine OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 1–7°. In the eleventh O2- site, O2- is bonded to four Li1+ and two equivalent Co+2.80+ atoms to form OLi4Co2 octahedra that share corners with four OLi3Mn2Co octahedra and edges with nine OLi5Co octahedra. The corner-sharing octahedra tilt angles range from 2–14°. In the twelfth 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 1–12°. 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 OLi5Co octahedra and edges with twelve OLi4Co2 octahedra. The corner-sharing octahedra tilt angles range from 2–15°. In the fourteenth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form OLi3Co3 octahedra that share corners with six OLi3Mn2Co octahedra and edges with twelve OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–2°. In the fifteenth O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two equivalent Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 1–3°. 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 1–5°.

36 MATERIALS SCIENCE↗

Materials Data on Ti8Al4CN3 by Materials Project

Ti8Al4CN3 is H-Phase-derived structured and crystallizes in the trigonal P-3m1 space group. The structure is three-dimensional. there are four inequivalent Ti sites. In the first Ti site, Ti is bonded in a 3-coordinate geometry to three equivalent Al and three equivalent C atoms. All Ti–Al bond lengths are 2.86 Å. All Ti–C bond lengths are 2.09 Å. In the second Ti site, Ti is bonded in a 3-coordinate geometry to three equivalent Al and three equivalent N atoms. All Ti–Al bond lengths are 2.85 Å. All Ti–N bond lengths are 2.09 Å. In the third Ti site, Ti is bonded in a 3-coordinate geometry to three equivalent Al and three equivalent N atoms. All Ti–Al bond lengths are 2.84 Å. All Ti–N bond lengths are 2.08 Å. In the fourth Ti site, Ti is bonded in a 3-coordinate geometry to three equivalent Al and three equivalent N atoms. All Ti–Al bond lengths are 2.85 Å. All Ti–N bond lengths are 2.09 Å. There are two inequivalent Al sites. In the first Al site, Al is bonded to six Ti and six equivalent Al atoms to form distorted AlTi6Al6 cuboctahedra that share corners with six equivalent AlTi6Al6 cuboctahedra, corners with three equivalent CTi6 octahedra, corners with three equivalent NTi6 octahedra, edges with six equivalent AlTi6Al6 cuboctahedra, edges with three equivalent CTi6 octahedra, edges with three equivalent NTi6 octahedra, and faces with six equivalent AlTi6Al6 cuboctahedra. The corner-sharing octahedral tilt angles are 19°. All Al–Al bond lengths are 3.02 Å. In the second Al site, Al is bonded to six Ti and six equivalent Al atoms to form distorted AlTi6Al6 cuboctahedra that share corners with six equivalent AlTi6Al6 cuboctahedra, corners with six NTi6 octahedra, edges with six equivalent AlTi6Al6 cuboctahedra, edges with six NTi6 octahedra, and faces with six equivalent AlTi6Al6 cuboctahedra. The corner-sharing octahedral tilt angles are 19°. All Al–Al bond lengths are 3.02 Å. C is bonded to six equivalent Ti atoms to form CTi6 octahedra that share corners with six equivalent AlTi6Al6 cuboctahedra, edges with six equivalent AlTi6Al6 cuboctahedra, and edges with six equivalent CTi6 octahedra. There are two inequivalent N sites. In the first N site, N is bonded to six equivalent Ti atoms to form NTi6 octahedra that share corners with six equivalent AlTi6Al6 cuboctahedra, edges with six equivalent AlTi6Al6 cuboctahedra, and edges with six equivalent NTi6 octahedra. In the second N site, N is bonded to six Ti atoms to form NTi6 octahedra that share corners with six AlTi6Al6 cuboctahedra, edges with six AlTi6Al6 cuboctahedra, and edges with six equivalent NTi6 octahedra.

36 MATERIALS SCIENCE↗

Materials Data on Li3Co2Ni3O10 by Materials Project

Li3Co2Ni3O10 crystallizes in the monoclinic P2/m space group. The structure is three-dimensional. there are three 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 CoO6 octahedra, corners with five NiO6 octahedra, edges with two equivalent CoO6 octahedra, edges with four LiO6 octahedra, and edges with four NiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–16°. There are a spread of Li–O bond distances ranging from 2.06–2.17 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two CoO6 octahedra, corners with four equivalent NiO6 octahedra, edges with six LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–6°. There are a spread of Li–O bond distances ranging from 2.12–2.26 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six NiO6 octahedra, edges with two equivalent CoO6 octahedra, edges with four LiO6 octahedra, and edges with four NiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–16°. There are a spread of Li–O bond distances ranging from 1.98–2.19 Å. There are three inequivalent Co+3.50+ sites. In the first Co+3.50+ site, Co+3.50+ is bonded to six O2- atoms to form CoO6 octahedra that share a cornercorner with one LiO6 octahedra, edges with two equivalent LiO6 octahedra, edges with two equivalent NiO6 octahedra, and edges with four CoO6 octahedra. The corner-sharing octahedral tilt angles are 3°. There are a spread of Co–O bond distances ranging from 1.87–1.92 Å. In the second Co+3.50+ site, Co+3.50+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with two equivalent LiO6 octahedra and edges with six CoO6 octahedra. The corner-sharing octahedral tilt angles are 16°. There is four shorter (1.92 Å) and two longer (1.97 Å) Co–O bond length. In the third Co+3.50+ site, Co+3.50+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with two equivalent LiO6 octahedra, edges with two equivalent CoO6 octahedra, edges with four equivalent LiO6 octahedra, and edges with four equivalent NiO6 octahedra. The corner-sharing octahedral tilt angles are 6°. There is two shorter (1.89 Å) and four longer (1.90 Å) Co–O bond length. There are three inequivalent Ni+3.33+ sites. In the first Ni+3.33+ site, Ni+3.33+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with five LiO6 octahedra, edges with two equivalent CoO6 octahedra, edges with four LiO6 octahedra, and edges with four NiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–14°. There are a spread of Ni–O bond distances ranging from 1.99–2.07 Å. In the second Ni+3.33+ site, Ni+3.33+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with four equivalent LiO6 octahedra, edges with six LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedral tilt angles are 4°. There is two shorter (1.87 Å) and four longer (1.98 Å) Ni–O bond length. In the third Ni+3.33+ site, Ni+3.33+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent CoO6 octahedra, edges with four LiO6 octahedra, and edges with four NiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–16°. There are a spread of Ni–O bond distances ranging from 1.97–2.09 Å. There are ten inequivalent O2- sites. In the first O2- site, O2- is bonded to three Li1+, one Co+3.50+, and two equivalent Ni+3.33+ atoms to form OLi3CoNi2 octahedra that share a cornercorner with one OLi3CoNi2 octahedra, corners with four equivalent OLi2Ni3 square pyramids, edges with six OLi3CoNi2 octahedra, and edges with two equivalent OLi2Ni3 square pyramids. The corner-sharing octahedral tilt angles are 1°. In the second O2- site, O2- is bonded in a see-saw-like geometry to one Li1+ and three Co+3.50+ atoms. In the third O2- site, O2- is bonded in a 3-coordinate geometry to two equivalent Co+3.50+ and one Ni+3.33+ atom. In the fourth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Co+3.50+ atoms. In the fifth O2- site, O2- is bonded to two equivalent Li1+ and three Ni+3.33+ atoms to form OLi2Ni3 square pyramids that share corners with four equivalent OLi3CoNi2 octahedra, a cornercorner with one OLi2Ni3 square pyramid, edges with six OLi3CoNi2 octahedra, and edges with two equivalent OLi2Ni3 square pyramids. The corner-sharing octahedra tilt angles range from 2–6°. In the sixth O2- site, O2- is bonded to three Li1+ and three Ni+3.33+ atoms to form OLi3Ni3 octahedra that share corners with four equivalent OLi3Ni3 octahedra, edges with eight OLi3CoNi2 octahedra, and edges with four OLi2Ni3 square pyramids. The corner-sharing octahedral tilt angles are 0°. In the seventh O2- site, O2- is bonded to three Li1+ and three Ni+3.33+ atoms to form OLi3Ni3 octahedra that share corners with four equivalent OLi3Ni3 octahedra, edges with eight OLi3CoNi2 octahedra, and edges with four OLi2Ni3 square pyramids. The corner-sharing octahedral tilt angles are 0°. In the eighth O2- site, O2- is bonded to three Li1+, one Co+3.50+, and two equivalent Ni+3.33+ atoms to form OLi3CoNi2 octahedra that share corners with two OLi3CoNi2 octahedra, corners with four equivalent OLi2Ni3 square pyramids, edges with six OLi3Ni3 octahedra, and edges with two equivalent OLi2Ni3 square pyramids. The corner-sharing octahedra tilt angles range from 0–1°. In the ninth O2- site, O2- is bonded to two equivalent Li1+ and three Ni+3.33+ atoms to form OLi2Ni3 square pyramids that share corners with four equivalent OLi3CoNi2 octahedra, a cornercorner with one OLi2Ni3 square pyramid, edges with six OLi3Ni3 octahedra, and edges with two equivalent OLi2Ni3 square pyramids. The corner-sharing octahedra tilt angles range from 3–6°. In the tenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two equivalent Co+3.50+, and one Ni+3.33+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Bi3Pd12Pb by Materials Project

Pd12PbBi3 is beta Cu3Ti-derived structured and crystallizes in the orthorhombic Pmm2 space group. The structure is three-dimensional. there are six inequivalent Pd sites. In the first Pd site, Pd is bonded to eight Pd, one Pb, and three Bi atoms to form PdBi3Pd8Pb cuboctahedra that share corners with four equivalent BiPd12 cuboctahedra, corners with fourteen PdBi3Pd8Pb cuboctahedra, edges with two equivalent PbPd12 cuboctahedra, edges with four BiPd12 cuboctahedra, edges with twelve PdBi3Pd8Pb cuboctahedra, a faceface with one PbPd12 cuboctahedra, faces with three BiPd12 cuboctahedra, and faces with sixteen PdBi3Pd8Pb cuboctahedra. There are a spread of Pd–Pd bond distances ranging from 2.90–2.94 Å. The Pd–Pb bond length is 2.90 Å. There are one shorter (2.92 Å) and two longer (2.93 Å) Pd–Bi bond lengths. In the second Pd site, Pd is bonded to eight Pd, two equivalent Pb, and two equivalent Bi atoms to form PdBi2Pd8Pb2 cuboctahedra that share corners with twelve PdBi4Pd8 cuboctahedra, edges with two equivalent PbPd12 cuboctahedra, edges with six BiPd12 cuboctahedra, edges with sixteen PdBi3Pd8Pb cuboctahedra, faces with two equivalent PbPd12 cuboctahedra, faces with two equivalent BiPd12 cuboctahedra, and faces with fourteen PdBi3Pd8Pb cuboctahedra. There are a spread of Pd–Pd bond distances ranging from 2.87–3.00 Å. There are one shorter (2.89 Å) and one longer (2.95 Å) Pd–Pb bond lengths. Both Pd–Bi bond lengths are 2.94 Å. In the third Pd site, Pd is bonded to eight Pd and four Bi atoms to form PdBi4Pd8 cuboctahedra that share corners with twelve PdBi4Pd8 cuboctahedra, edges with two equivalent PbPd12 cuboctahedra, edges with six BiPd12 cuboctahedra, edges with sixteen PdBi3Pd8Pb cuboctahedra, faces with four BiPd12 cuboctahedra, and faces with fourteen PdBi3Pd8Pb cuboctahedra. There are a spread of Pd–Pd bond distances ranging from 2.86–2.99 Å. There are a spread of Pd–Bi bond distances ranging from 2.88–2.98 Å. In the fourth Pd site, Pd is bonded to eight Pd, two equivalent Pb, and two equivalent Bi atoms to form PdBi2Pd8Pb2 cuboctahedra that share corners with four PdBi2Pd8Pb2 cuboctahedra, corners with four equivalent PbPd12 cuboctahedra, corners with four equivalent BiPd12 cuboctahedra, edges with twenty-four PdBi3Pd8Pb cuboctahedra, faces with two equivalent PbPd12 cuboctahedra, faces with four equivalent BiPd12 cuboctahedra, and faces with twelve PdBi3Pd8Pb cuboctahedra. Both Pd–Pb bond lengths are 2.93 Å. Both Pd–Bi bond lengths are 2.97 Å. In the fifth Pd site, Pd is bonded to eight Pd and four Bi atoms to form PdBi4Pd8 cuboctahedra that share corners with four PdBi2Pd8Pb2 cuboctahedra, corners with four equivalent PbPd12 cuboctahedra, corners with four equivalent BiPd12 cuboctahedra, edges with twenty-four PdBi3Pd8Pb cuboctahedra, faces with six BiPd12 cuboctahedra, and faces with twelve PdBi3Pd8Pb cuboctahedra. There are two shorter (2.93 Å) and two longer (2.96 Å) Pd–Bi bond lengths. In the sixth Pd site, Pd is bonded to eight Pd, one Pb, and three Bi atoms to form PdBi3Pd8Pb cuboctahedra that share corners with eight equivalent BiPd12 cuboctahedra, corners with ten PdBi3Pd8Pb cuboctahedra, edges with eighteen PdBi3Pd8Pb cuboctahedra, faces with two equivalent PbPd12 cuboctahedra, faces with four BiPd12 cuboctahedra, and faces with fourteen PdBi3Pd8Pb cuboctahedra. The Pd–Pb bond length is 2.93 Å. There are two shorter (2.93 Å) and one longer (2.95 Å) Pd–Bi bond lengths. Pb is bonded to twelve Pd atoms to form PbPd12 cuboctahedra that share corners with two equivalent PbPd12 cuboctahedra, corners with two equivalent BiPd12 cuboctahedra, corners with eight PdBi2Pd8Pb2 cuboctahedra, edges with two equivalent PbPd12 cuboctahedra, edges with six BiPd12 cuboctahedra, edges with sixteen PdBi3Pd8Pb cuboctahedra, faces with four equivalent BiPd12 cuboctahedra, and faces with fourteen PdBi3Pd8Pb cuboctahedra. There are two inequivalent Bi sites. In the first Bi site, Bi is bonded to twelve Pd atoms to form BiPd12 cuboctahedra that share corners with two equivalent PbPd12 cuboctahedra, corners with two equivalent BiPd12 cuboctahedra, corners with eight PdBi2Pd8Pb2 cuboctahedra, edges with two equivalent PbPd12 cuboctahedra, edges with six BiPd12 cuboctahedra, edges with sixteen PdBi3Pd8Pb cuboctahedra, faces with four equivalent BiPd12 cuboctahedra, and faces with fourteen PdBi3Pd8Pb cuboctahedra. In the second Bi site, Bi is bonded to twelve Pd atoms to form BiPd12 cuboctahedra that share corners with two equivalent BiPd12 cuboctahedra, corners with sixteen PdBi3Pd8Pb cuboctahedra, edges with two equivalent PbPd12 cuboctahedra, edges with four BiPd12 cuboctahedra, edges with twelve PdBi3Pd8Pb cuboctahedra, faces with two equivalent PbPd12 cuboctahedra, faces with four BiPd12 cuboctahedra, and faces with fourteen PdBi3Pd8Pb cuboctahedra.

36 MATERIALS SCIENCE↗

Materials Data on BaMg6W by Materials Project

BaMg6W crystallizes in the orthorhombic Amm2 space group. The structure is three-dimensional. Ba is bonded to twelve Mg atoms to form BaMg12 cuboctahedra that share corners with four equivalent BaMg12 cuboctahedra, corners with eight equivalent WMg12 cuboctahedra, edges with eight equivalent MgBa2Mg8W2 cuboctahedra, faces with two equivalent BaMg12 cuboctahedra, faces with four equivalent MgBa2Mg8W2 cuboctahedra, and faces with four equivalent WMg12 cuboctahedra. There are four shorter (3.34 Å) and eight longer (3.49 Å) Ba–Mg bond lengths. There are four inequivalent Mg sites. In the first Mg site, Mg is bonded to two equivalent Ba, eight Mg, and two equivalent W atoms to form distorted MgBa2Mg8W2 cuboctahedra that share corners with twelve equivalent MgBa2Mg8W2 cuboctahedra, edges with four equivalent BaMg12 cuboctahedra, edges with four equivalent WMg12 cuboctahedra, faces with two equivalent BaMg12 cuboctahedra, faces with two equivalent WMg12 cuboctahedra, and faces with six equivalent MgBa2Mg8W2 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.21–3.26 Å. There are one shorter (3.30 Å) and one longer (3.39 Å) Mg–W bond lengths. In the second Mg site, Mg is bonded in a 2-coordinate geometry to two equivalent Ba, four equivalent Mg, and two equivalent W atoms. Both Mg–W bond lengths are 2.96 Å. In the third Mg site, Mg is bonded in a 2-coordinate geometry to two equivalent Ba, four equivalent Mg, and two equivalent W atoms. Both Mg–W bond lengths are 2.96 Å. In the fourth Mg site, Mg is bonded in a 2-coordinate geometry to two equivalent Ba, four equivalent Mg, and two equivalent W atoms. Both Mg–W bond lengths are 2.97 Å. W is bonded to twelve Mg atoms to form WMg12 cuboctahedra that share corners with four equivalent WMg12 cuboctahedra, corners with eight equivalent BaMg12 cuboctahedra, edges with eight equivalent MgBa2Mg8W2 cuboctahedra, faces with two equivalent WMg12 cuboctahedra, faces with four equivalent BaMg12 cuboctahedra, and faces with four equivalent MgBa2Mg8W2 cuboctahedra.

36 MATERIALS SCIENCE↗

Materials Data on Ba3NaSr(SbO4)3 by Materials Project

NaBa3Sr(SbO4)3 is (Cubic) Perovskite-derived structured and crystallizes in the orthorhombic C222 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 two equivalent SrO12 cuboctahedra, and faces with six BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–4°. There are a spread of Na–O bond distances ranging from 2.25–2.28 Å. There are three inequivalent Ba2+ sites. In the first Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with twelve BaO12 cuboctahedra, faces with two equivalent SrO12 cuboctahedra, faces with four equivalent BaO12 cuboctahedra, faces with two equivalent NaO6 octahedra, and faces with six SbO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.94–2.99 Å. In the second Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with twelve BaO12 cuboctahedra, faces with two equivalent BaO12 cuboctahedra, faces with four 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 2.92–2.99 Å. In the third Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with four equivalent BaO12 cuboctahedra, corners with eight equivalent SrO12 cuboctahedra, faces with six BaO12 cuboctahedra, faces with two equivalent NaO6 octahedra, and faces with six SbO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.96–3.03 Å. Sr2+ is bonded to twelve O2- atoms to form SrO12 cuboctahedra that share corners with four equivalent SrO12 cuboctahedra, corners with eight equivalent BaO12 cuboctahedra, faces with six 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 2.88–2.97 Å. There are three 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 SbO6 octahedra, faces with two equivalent SrO12 cuboctahedra, and faces with six BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–4°. There are a spread of Sb–O bond distances ranging from 1.91–2.09 Å. 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 two equivalent SrO12 cuboctahedra, and faces with six BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–4°. There are a spread of Sb–O bond distances ranging from 1.91–2.11 Å. In the third 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 two equivalent SrO12 cuboctahedra, and faces with six BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–4°. There are a spread of Sb–O bond distances ranging from 1.92–2.11 Å. There are ten inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted linear geometry to three Ba2+, one Sr2+, and two Sb5+ atoms. In the second O2- site, O2- is bonded in a distorted linear geometry to three Ba2+, one Sr2+, and two Sb5+ atoms. In the third O2- site, O2- is bonded in a distorted linear geometry to one Na1+, four Ba2+, 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 to four Ba2+ and two equivalent Sb5+ atoms to form distorted corner-sharing OBa4Sb2 octahedra. The corner-sharing octahedral tilt angles are 0°. In the sixth O2- site, O2- is bonded in a distorted linear geometry to two equivalent Ba2+, two equivalent Sr2+, and two equivalent Sb5+ atoms. In the seventh O2- site, O2- is bonded to four Ba2+ and two equivalent Sb5+ atoms to form distorted corner-sharing OBa4Sb2 octahedra. The corner-sharing octahedral tilt angles are 0°. In the eighth O2- site, O2- is bonded in a distorted linear geometry to two equivalent Ba2+, two equivalent Sr2+, and two equivalent Sb5+ atoms. In the ninth O2- site, O2- is bonded in a distorted linear geometry to one Na1+, three Ba2+, one Sr2+, and one Sb5+ atom. In the tenth O2- site, O2- is bonded in a distorted linear geometry to one Na1+, three Ba2+, one Sr2+, and one Sb5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li9Mn2Co5O16 by Materials Project

Li9Mn2Co5O16 is Caswellsilverite-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are nine inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two 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 4–13°. There are a spread of Li–O bond distances ranging from 2.08–2.38 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one CoO6 octahedra, corners with four equivalent 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 6–12°. There are a spread of Li–O bond distances ranging from 2.01–2.22 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one MnO6 octahedra, corners with five 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 4–10°. There are a spread of Li–O bond distances ranging from 2.07–2.25 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with five CoO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–9°. There are a spread of Li–O bond distances ranging from 2.05–2.19 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one MnO6 octahedra, corners with five CoO6 octahedra, edges with six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 5–7°. There are a spread of Li–O bond distances ranging from 2.10–2.20 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one MnO6 octahedra, corners with five CoO6 octahedra, edges with six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 5–8°. There are a spread of Li–O bond distances ranging from 2.07–2.18 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six CoO6 octahedra, edges with 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 2.11–2.19 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, 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 6–9°. There are a spread of Li–O bond distances ranging from 2.00–2.17 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 6–12°. There are a spread of Li–O bond distances ranging from 1.99–2.27 Å. There are two inequivalent Mn+4.50+ sites. In the first Mn+4.50+ site, Mn+4.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with two equivalent CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–13°. There are a spread of Mn–O bond distances ranging from 1.81–2.04 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 5–8°. There are a spread of Mn–O bond distances ranging from 1.94–2.22 Å. There are five inequivalent Co+2.80+ sites. In the first Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form 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 4–10°. There are a spread of Co–O bond distances ranging from 1.75–2.25 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 4–7°. There are a spread of Co–O bond distances ranging from 1.92–2.21 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 5–8°. There are a spread of Co–O bond distances ranging from 1.92–2.18 Å. In the fourth Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 5–7°. There are a spread of Co–O bond distances ranging from 1.92–2.19 Å. In the fifth Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–8°. There are a spread of Co–O bond distances ranging from 1.91–2.21 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 OLi3Mn2Co octahedra that share corners with six OLi4Mn2 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 3–7°. In the second O2- site, O2- is bonded to five Li1+ and one Mn+4.50+ atom to form OLi5Mn octahedra that share corners with six OLi5Co octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 2–5°. In the third O2- site, O2- is bonded to four Li1+ and two equivalent Co+2.80+ atoms to form OLi4Co2 octahedra that share corners with six OLi4Mn2 octahedra and edges with twelve OLi5Mn octahedra. The corner-sharing octahedra tilt angles range from 2–9°. 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 OLi5Co octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 0–4°. 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 OLi4Mn2 octahedra and edges with twelve OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 0–5°. In the sixth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form OLi3Co3 octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. In the seventh O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two equivalent Co+2.80+ atoms to form OLi3MnCo2 octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. In the eighth O2- site, O2- is bonded to three Li1+, two equivalent Mn+4.50+, and one Co+2.80+ atom to form OLi3Mn2Co octahedra that share corners with six OLi5Co octahedra and edges with twelve OLi4Co2 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. In the ninth O2- site, O2- is bonded to four Li1+ and two equivalent Mn+4.50+ atoms to form a mixture of corner and edge-sharing OLi4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 3–7°. In the tenth O2- site, O2- is bonded to five Li1+ and one Co+2.80+ atom to form OLi5Co octahedra that share corners with six OLi5Mn octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 2–6°. In the eleventh O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two equivalent Co+2.80+ atoms to form OLi3MnCo2 octahedra that share corners with six OLi3Mn2Co octahedra and edges with twelve OLi5Mn octahedra. The corner-sharing octahedra tilt angles range from 0–9°. 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 OLi5Mn octahedra and edges with twelve 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 OLi3Co3 octahedra that share corners with six OLi3Mn2Co octahedra and edges with twelve OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the fourteenth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form a mixture of corner and edge-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. In the fifteenth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form OLi3Co3 octahedra that share corners with six OLi4Co2 octahedra and edges with twelve OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. In the sixteenth O2- site, O2- is bonded to three Li1+, two equivalent Mn+4.50+, and one Co+2.80+ atom to form OLi3Mn2Co octahedra that share corners with six OLi5Mn octahedra and edges with twelve OLi4Co2 octahedra. The corner-sharing octahedra tilt angles range from 0–4°.

36 MATERIALS SCIENCE↗

Materials Data on BaSr3(CoO3)4 by Materials Project

BaSr3(CoO3)4 crystallizes in the monoclinic Pm space group. The structure is three-dimensional. Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with two equivalent BaO12 cuboctahedra, corners with four equivalent SrO12 cuboctahedra, corners with six CoO6 octahedra, faces with two equivalent BaO12 cuboctahedra, faces with six SrO12 cuboctahedra, and faces with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 14–15°. There are a spread of Ba–O bond distances ranging from 2.77–2.97 Å. There are three inequivalent Sr2+ sites. In the first Sr2+ site, Sr2+ is bonded to twelve O2- atoms to form SrO12 cuboctahedra that share corners with two equivalent SrO12 cuboctahedra, corners with four equivalent BaO12 cuboctahedra, corners with six CoO6 octahedra, faces with eight SrO12 cuboctahedra, and faces with six CoO6 octahedra. The corner-sharing octahedral tilt angles are 15°. There are a spread of Sr–O bond distances ranging from 2.70–2.95 Å. In the second Sr2+ site, Sr2+ is bonded to twelve O2- atoms to form SrO12 cuboctahedra that share corners with six SrO12 cuboctahedra, corners with six CoO6 octahedra, faces with four equivalent BaO12 cuboctahedra, faces with four SrO12 cuboctahedra, and faces with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 14–16°. There are a spread of Sr–O bond distances ranging from 2.77–2.98 Å. In the third Sr2+ site, Sr2+ is bonded to twelve O2- atoms to form SrO12 cuboctahedra that share corners with six SrO12 cuboctahedra, corners with six CoO6 octahedra, faces with two equivalent BaO12 cuboctahedra, faces with six SrO12 cuboctahedra, and faces with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 15–16°. There are a spread of Sr–O bond distances ranging from 2.74–2.95 Å. There are two inequivalent Co4+ sites. In the first Co4+ site, Co4+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with two equivalent BaO12 cuboctahedra, corners with four SrO12 cuboctahedra, faces with two equivalent BaO12 cuboctahedra, faces with four SrO12 cuboctahedra, and faces with two equivalent CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.87–1.90 Å. In the second Co4+ site, Co4+ is bonded to six O2- atoms to form CoO6 octahedra that share a cornercorner with one BaO12 cuboctahedra, corners with five SrO12 cuboctahedra, a faceface with one BaO12 cuboctahedra, faces with five SrO12 cuboctahedra, and faces with two equivalent CoO6 octahedra. There is four shorter (1.88 Å) and two longer (1.90 Å) Co–O bond length. There are twelve inequivalent O2- sites. In the first O2- site, O2- is bonded in a 2-coordinate geometry to two equivalent Ba2+, two Sr2+, and two equivalent Co4+ atoms. In the second O2- site, O2- is bonded in a 2-coordinate geometry to four Sr2+ and two equivalent Co4+ atoms. In the third O2- site, O2- is bonded in a 6-coordinate geometry to two equivalent Ba2+, two Sr2+, and two equivalent Co4+ atoms. In the fourth O2- site, O2- is bonded in a 2-coordinate geometry to four Sr2+ and two equivalent Co4+ atoms. In the fifth O2- site, O2- is bonded in a 2-coordinate geometry to two equivalent Ba2+, two equivalent Sr2+, and two equivalent Co4+ atoms. In the sixth O2- site, O2- is bonded in a 2-coordinate geometry to four Sr2+ and two equivalent Co4+ atoms. In the seventh O2- site, O2- is bonded in a 6-coordinate geometry to one Ba2+, three Sr2+, and two equivalent Co4+ atoms. In the eighth O2- site, O2- is bonded in a 2-coordinate geometry to one Ba2+, three Sr2+, and two equivalent Co4+ atoms. In the ninth O2- site, O2- is bonded in a 2-coordinate geometry to one Ba2+, three Sr2+, and two equivalent Co4+ atoms. In the tenth O2- site, O2- is bonded in a 6-coordinate geometry to one Ba2+, three Sr2+, and two equivalent Co4+ atoms. In the eleventh O2- site, O2- is bonded in a 2-coordinate geometry to two equivalent Ba2+, two equivalent Sr2+, and two equivalent Co4+ atoms. In the twelfth O2- site, O2- is bonded in a 2-coordinate geometry to four Sr2+ and two equivalent Co4+ atoms.

36 MATERIALS SCIENCE↗