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Materials Data on ErAgS2 by Materials Project

ErAgS2 crystallizes in the monoclinic P2_1 space group. The structure is three-dimensional. there are four inequivalent Er3+ sites. In the first Er3+ site, Er3+ is bonded to six S2- atoms to form ErS6 octahedra that share corners with two equivalent AgS6 octahedra, corners with four equivalent ErS6 octahedra, corners with two equivalent AgS5 trigonal bipyramids, edges with four ErS6 octahedra, and edges with four equivalent AgS6 octahedra. The corner-sharing octahedra tilt angles range from 8–18°. There are a spread of Er–S bond distances ranging from 2.72–2.77 Å. In the second Er3+ site, Er3+ is bonded to six S2- atoms to form ErS6 octahedra that share corners with four equivalent ErS6 octahedra, a cornercorner with one AgS5 trigonal bipyramid, edges with four ErS6 octahedra, edges with four AgS6 octahedra, and edges with two equivalent AgS5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 14–19°. There are a spread of Er–S bond distances ranging from 2.73–2.75 Å. In the third Er3+ site, Er3+ is bonded to six S2- atoms to form ErS6 octahedra that share corners with four equivalent ErS6 octahedra, edges with four ErS6 octahedra, edges with four AgS6 octahedra, and edges with two equivalent AgS5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 14–19°. There are a spread of Er–S bond distances ranging from 2.71–2.75 Å. In the fourth Er3+ site, Er3+ is bonded to six S2- atoms to form ErS6 octahedra that share corners with two equivalent AgS6 octahedra, corners with four equivalent ErS6 octahedra, edges with four ErS6 octahedra, edges with four equivalent AgS6 octahedra, and edges with two equivalent AgS5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 7–18°. There are a spread of Er–S bond distances ranging from 2.73–2.77 Å. There are four inequivalent Ag1+ sites. In the first Ag1+ site, Ag1+ is bonded in a 5-coordinate geometry to five S2- atoms. There are a spread of Ag–S bond distances ranging from 2.48–3.09 Å. In the second Ag1+ site, Ag1+ is bonded to five S2- atoms to form distorted AgS5 trigonal bipyramids that share corners with two equivalent AgS6 octahedra, corners with three ErS6 octahedra, edges with two equivalent AgS6 octahedra, and edges with six ErS6 octahedra. The corner-sharing octahedra tilt angles range from 8–81°. There are a spread of Ag–S bond distances ranging from 2.48–3.07 Å. In the third Ag1+ site, Ag1+ is bonded to six S2- atoms to form distorted AgS6 octahedra that share corners with two equivalent ErS6 octahedra, corners with four equivalent AgS6 octahedra, corners with two equivalent AgS5 trigonal bipyramids, and edges with eight ErS6 octahedra. The corner-sharing octahedra tilt angles range from 7–15°. There are a spread of Ag–S bond distances ranging from 2.48–3.53 Å. In the fourth Ag1+ site, Ag1+ is bonded to six S2- atoms to form distorted AgS6 octahedra that share corners with two equivalent ErS6 octahedra, corners with four equivalent AgS6 octahedra, edges with eight ErS6 octahedra, and edges with two equivalent AgS5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 8–15°. There are a spread of Ag–S bond distances ranging from 2.55–3.52 Å. There are eight inequivalent S2- sites. In the first S2- site, S2- is bonded to three Er3+ and three Ag1+ atoms to form distorted SEr3Ag3 octahedra that share corners with five SEr3Ag2 square pyramids, edges with six SEr3Ag3 octahedra, and edges with two equivalent SEr3Ag2 square pyramids. In the second S2- site, S2- is bonded to three Er3+ and two equivalent Ag1+ atoms to form distorted SEr3Ag2 square pyramids that share corners with seven SEr3Ag3 octahedra, edges with four SEr3Ag3 octahedra, and edges with two equivalent SEr3Ag2 square pyramids. The corner-sharing octahedra tilt angles range from 4–84°. In the third S2- site, S2- is bonded in a 6-coordinate geometry to three Er3+ and three Ag1+ atoms. In the fourth S2- site, S2- is bonded to three Er3+ and three Ag1+ atoms to form distorted SEr3Ag3 octahedra that share corners with two SEr3Ag2 square pyramids, edges with six SEr3Ag3 octahedra, and edges with two SEr3Ag2 square pyramids. In the fifth S2- site, S2- is bonded in a 6-coordinate geometry to three Er3+ and three Ag1+ atoms. In the sixth S2- site, S2- is bonded to three Er3+ and three Ag1+ atoms to form distorted SEr3Ag3 octahedra that share corners with two SEr3Ag2 square pyramids, edges with six SEr3Ag3 octahedra, and edges with two SEr3Ag2 square pyramids. In the seventh S2- site, S2- is bonded to three Er3+ and two equivalent Ag1+ atoms to form SEr3Ag2 square pyramids that share corners with seven SEr3Ag3 octahedra, edges with four SEr3Ag3 octahedra, and edges with two equivalent SEr3Ag2 square pyramids. The corner-sharing octahedra tilt angles range from 4–85°. In the eighth S2- site, S2- is bonded to three Er3+ and three Ag1+ atoms to form distorted SEr3Ag3 octahedra that share corners with five SEr3Ag2 square pyramids, edges with six SEr3Ag3 octahedra, and edges with two equivalent SEr3Ag2 square pyramids.

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 CoO6 octahedra, an edgeedge with one CoO6 octahedra, edges with two equivalent MnO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–9°. There are a spread of Li–O bond distances ranging from 2.11–2.30 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one CoO6 octahedra, corners with two equivalent MnO6 octahedra, an edgeedge with one MnO6 octahedra, edges with two equivalent CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedral tilt angles are 7°. There are a spread of Li–O bond distances ranging from 2.09–2.29 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with two MnO6 octahedra, corners with two equivalent CoO6 octahedra, edges with three CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–9°. There are a spread of Li–O bond distances ranging from 1.99–2.39 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with two equivalent MnO6 octahedra, corners with three CoO6 octahedra, an edgeedge with one MnO6 octahedra, edges with three 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 2.05–2.23 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three CoO6 octahedra, edges with two equivalent MnO6 octahedra, edges with three CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–9°. There are a spread of Li–O bond distances ranging from 2.08–2.20 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one MnO6 octahedra, corners with two equivalent CoO6 octahedra, edges with two equivalent MnO6 octahedra, edges with three CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–10°. There are a spread of Li–O bond distances ranging from 2.08–2.18 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one CoO6 octahedra, corners with four MnO6 octahedra, edges with two MnO6 octahedra, edges with two equivalent CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–8°. There are a spread of Li–O bond distances ranging from 2.04–2.23 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one MnO6 octahedra, corners with two equivalent LiO6 octahedra, corners with three CoO6 octahedra, an edgeedge with one CoO6 octahedra, edges with two equivalent MnO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–10°. There are a spread of Li–O bond distances ranging from 1.98–2.36 Å. In the ninth Li1+ site, Li1+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–9°. There are a spread of Li–O bond distances ranging from 2.11–2.18 Å. There are two inequivalent Mn+4.50+ sites. In the first Mn+4.50+ site, Mn+4.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–10°. There are a spread of Mn–O bond distances ranging from 1.95–2.15 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, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–9°. There is two shorter (1.94 Å) and four longer (1.95 Å) Mn–O bond length. There are five inequivalent Co+2.80+ sites. In the first Co+2.80+ site, Co+2.80+ is bonded 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 4–10°. There are a spread of Co–O bond distances ranging from 1.97–2.16 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 1.80–2.44 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 octahedral tilt angles are 7°. There are a spread of Co–O bond distances ranging from 1.93–2.15 Å. In the fourth Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, 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 Co–O bond distances ranging from 1.93–2.19 Å. In the fifth 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 1.80–2.44 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 OLi5Co octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 1–8°. In the second O2- site, O2- is bonded to five Li1+ and one Co+2.80+ atom to form a mixture of edge and corner-sharing OLi5Co octahedra. The corner-sharing octahedra tilt angles range from 0–9°. In the third O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two equivalent Co+2.80+ atoms to form OLi3MnCo2 octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 1–10°. In the fourth O2- site, O2- is bonded to four Li1+ and two equivalent Co+2.80+ atoms to form OLi4Co2 octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi5Co octahedra. The corner-sharing octahedra tilt angles range from 0–19°. 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 OLi5Co octahedra and edges with twelve OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 1–8°. In the sixth O2- site, O2- is bonded to three Li1+, two equivalent Mn+4.50+, and one Co+2.80+ atom to form distorted OLi3Mn2Co octahedra that share corners with six OLi5Co octahedra and edges with twelve OLi4Co2 octahedra. The corner-sharing octahedra tilt angles range from 0–9°. 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 octahedra tilt angles range from 0–5°. In the eighth O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two equivalent Co+2.80+ atoms to form distorted OLi3MnCo2 octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi5Co octahedra. The corner-sharing octahedra tilt angles range from 0–19°. In the ninth O2- site, O2- is bonded to five Li1+ and one Co+2.80+ atom to form OLi5Co octahedra that share corners with six OLi3Mn2Co octahedra and edges with twelve OLi5Co octahedra. The corner-sharing octahedra tilt angles range from 0–9°. In the tenth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form OLi3Co3 octahedra that share corners with six OLi5Co octahedra and edges with twelve OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 0–8°. In the eleventh O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two equivalent Co+2.80+ atoms to form distorted OLi3MnCo2 octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi4Co2 octahedra. The corner-sharing octahedra tilt angles range from 0–19°. In the twelfth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form OLi3Co3 octahedra that share corners with six OLi3Mn2Co octahedra and edges with twelve OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 0–5°. In the thirteenth O2- site, O2- is bonded to three Li1+, two equivalent Mn+4.50+, and one Co+2.80+ atom to form a mixture of distorted edge and corner-sharing OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 0–9°. 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 OLi5Co octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 1–8°. In the fifteenth O2- site, O2- is bonded to four Li1+ and two equivalent Co+2.80+ atoms to form OLi4Co2 octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 0–19°. 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 1–9°.

36 MATERIALS SCIENCE↗

Materials Data on Pr(LuS2)3 by Materials Project

Pr(LuS2)3 crystallizes in the monoclinic P2_1/m space group. The structure is three-dimensional. there are three inequivalent Lu3+ sites. In the first Lu3+ site, Lu3+ is bonded to seven S2- atoms to form distorted LuS7 pentagonal bipyramids that share corners with three LuS6 octahedra, edges with two equivalent LuS6 octahedra, and edges with four equivalent LuS7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 39–51°. There are a spread of Lu–S bond distances ranging from 2.65–2.88 Å. In the second Lu3+ site, Lu3+ is bonded to six S2- atoms to form LuS6 octahedra that share corners with three equivalent LuS6 octahedra, a cornercorner with one LuS7 pentagonal bipyramid, edges with four equivalent LuS6 octahedra, and edges with two equivalent LuS7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 53–62°. There are a spread of Lu–S bond distances ranging from 2.64–2.74 Å. In the third Lu3+ site, Lu3+ is bonded to six S2- atoms to form LuS6 octahedra that share corners with three equivalent LuS6 octahedra, corners with two equivalent LuS7 pentagonal bipyramids, and edges with four equivalent LuS6 octahedra. The corner-sharing octahedra tilt angles range from 53–62°. There are a spread of Lu–S bond distances ranging from 2.62–2.75 Å. Pr3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Pr–S bond distances ranging from 2.91–3.04 Å. There are six inequivalent S2- sites. In the first S2- site, S2- is bonded in a 4-coordinate geometry to four Lu3+ atoms. In the second S2- site, S2- is bonded to three Lu3+ and one Pr3+ atom to form distorted SPrLu3 trigonal pyramids that share corners with two equivalent SPr2Lu3 square pyramids, corners with four SPr2Lu3 trigonal bipyramids, corners with two equivalent SPrLu3 trigonal pyramids, edges with three equivalent SPr2Lu3 square pyramids, and edges with two equivalent SPr3Lu2 trigonal bipyramids. In the third S2- site, S2- is bonded in a rectangular see-saw-like geometry to four Lu3+ atoms. In the fourth S2- site, S2- is bonded to three equivalent Lu3+ and two equivalent Pr3+ atoms to form distorted SPr2Lu3 square pyramids that share corners with six SPr2Lu3 trigonal bipyramids, corners with two equivalent SPrLu3 trigonal pyramids, edges with four equivalent SPr2Lu3 square pyramids, edges with two SPr2Lu3 trigonal bipyramids, and edges with three equivalent SPrLu3 trigonal pyramids. In the fifth S2- site, S2- is bonded to three Lu3+ and two equivalent Pr3+ atoms to form distorted SPr2Lu3 trigonal bipyramids that share corners with two equivalent SPr2Lu3 square pyramids, corners with two equivalent SPr3Lu2 trigonal bipyramids, corners with three equivalent SPrLu3 trigonal pyramids, an edgeedge with one SPr2Lu3 square pyramid, and edges with five SPr2Lu3 trigonal bipyramids. In the sixth S2- site, S2- is bonded to two equivalent Lu3+ and three equivalent Pr3+ atoms to form distorted SPr3Lu2 trigonal bipyramids that share corners with four equivalent SPr2Lu3 square pyramids, corners with two equivalent SPr2Lu3 trigonal bipyramids, a cornercorner with one SPrLu3 trigonal pyramid, an edgeedge with one SPr2Lu3 square pyramid, edges with seven SPr2Lu3 trigonal bipyramids, and edges with two equivalent SPrLu3 trigonal pyramids.

36 MATERIALS SCIENCE↗

Materials Data on GaNi2Pt by Materials Project

PtNi2Ga is beta Cu3Ti-derived structured and crystallizes in the tetragonal P4/mmm space group. The structure is three-dimensional. Pt is bonded to eight equivalent Ni and four equivalent Ga atoms to form PtGa4Ni8 cuboctahedra that share corners with twelve equivalent PtGa4Ni8 cuboctahedra, edges with eight equivalent GaNi8Pt4 cuboctahedra, edges with sixteen equivalent NiGa4Ni4Pt4 cuboctahedra, faces with four equivalent GaNi8Pt4 cuboctahedra, faces with six equivalent PtGa4Ni8 cuboctahedra, and faces with eight equivalent NiGa4Ni4Pt4 cuboctahedra. All Pt–Ni bond lengths are 2.63 Å. All Pt–Ga bond lengths are 2.63 Å. Ni is bonded to four equivalent Pt, four equivalent Ni, and four equivalent Ga atoms to form NiGa4Ni4Pt4 cuboctahedra that share corners with twelve equivalent NiGa4Ni4Pt4 cuboctahedra, edges with eight equivalent PtGa4Ni8 cuboctahedra, edges with eight equivalent NiGa4Ni4Pt4 cuboctahedra, edges with eight equivalent GaNi8Pt4 cuboctahedra, faces with four equivalent PtGa4Ni8 cuboctahedra, faces with four equivalent GaNi8Pt4 cuboctahedra, and faces with ten equivalent NiGa4Ni4Pt4 cuboctahedra. All Ni–Ni bond lengths are 2.63 Å. All Ni–Ga bond lengths are 2.63 Å. Ga is bonded to four equivalent Pt and eight equivalent Ni atoms to form GaNi8Pt4 cuboctahedra that share corners with twelve equivalent GaNi8Pt4 cuboctahedra, edges with eight equivalent PtGa4Ni8 cuboctahedra, edges with sixteen equivalent NiGa4Ni4Pt4 cuboctahedra, faces with four equivalent PtGa4Ni8 cuboctahedra, faces with six equivalent GaNi8Pt4 cuboctahedra, and faces with eight equivalent NiGa4Ni4Pt4 cuboctahedra.

36 MATERIALS SCIENCE↗

Materials Data on Sr3LaTa2(CoO6)2 by Materials Project

Sr3LaTa2(CoO6)2 is (Cubic) Perovskite-derived structured and crystallizes in the orthorhombic Pmm2 space group. The structure is three-dimensional. there are six 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 LaO12 cuboctahedra, corners with eight SrO12 cuboctahedra, a faceface with one LaO12 cuboctahedra, faces with five SrO12 cuboctahedra, faces with four TaO6 octahedra, and faces with four CoO6 octahedra. There are eight shorter (2.85 Å) and four longer (2.86 Å) Sr–O bond lengths. In the second Sr2+ site, Sr2+ is bonded to twelve O2- atoms to form SrO12 cuboctahedra that share corners with four equivalent LaO12 cuboctahedra, corners with eight SrO12 cuboctahedra, a faceface with one LaO12 cuboctahedra, faces with five SrO12 cuboctahedra, faces with four TaO6 octahedra, and faces with four CoO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.84–2.91 Å. In the third Sr2+ site, Sr2+ is bonded to twelve O2- atoms to form SrO12 cuboctahedra that share corners with four equivalent LaO12 cuboctahedra, corners with eight SrO12 cuboctahedra, a faceface with one LaO12 cuboctahedra, faces with five SrO12 cuboctahedra, faces with four TaO6 octahedra, and faces with four CoO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.81–2.99 Å. In the fourth Sr2+ site, Sr2+ is bonded to twelve O2- atoms to form SrO12 cuboctahedra that share corners with twelve SrO12 cuboctahedra, faces with two SrO12 cuboctahedra, faces with four equivalent LaO12 cuboctahedra, faces with four TaO6 octahedra, and faces with four CoO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.80–2.85 Å. In the fifth Sr2+ site, Sr2+ is bonded to twelve O2- atoms to form SrO12 cuboctahedra that share corners with four equivalent LaO12 cuboctahedra, corners with eight SrO12 cuboctahedra, a faceface with one LaO12 cuboctahedra, faces with five SrO12 cuboctahedra, faces with four TaO6 octahedra, and faces with four CoO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.80–2.91 Å. In the sixth Sr2+ site, Sr2+ is bonded to twelve O2- atoms to form SrO12 cuboctahedra that share corners with twelve SrO12 cuboctahedra, faces with two SrO12 cuboctahedra, faces with four equivalent LaO12 cuboctahedra, faces with four TaO6 octahedra, and faces with four CoO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.82–2.85 Å. There are two inequivalent La3+ sites. In the first La3+ site, La3+ is bonded to twelve O2- atoms to form LaO12 cuboctahedra that share corners with four equivalent LaO12 cuboctahedra, corners with eight SrO12 cuboctahedra, faces with six SrO12 cuboctahedra, faces with four TaO6 octahedra, and faces with four CoO6 octahedra. There are a spread of La–O bond distances ranging from 2.71–2.86 Å. In the second La3+ site, La3+ is bonded to twelve O2- atoms to form LaO12 cuboctahedra that share corners with four equivalent LaO12 cuboctahedra, corners with eight SrO12 cuboctahedra, faces with six SrO12 cuboctahedra, faces with four TaO6 octahedra, and faces with four CoO6 octahedra. There are a spread of La–O bond distances ranging from 2.72–2.85 Å. There are four inequivalent Ta5+ sites. In the first Ta5+ site, Ta5+ is bonded to six O2- atoms to form TaO6 octahedra that share a cornercorner with one TaO6 octahedra, corners with five CoO6 octahedra, faces with two equivalent LaO12 cuboctahedra, and faces with six SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–6°. There are a spread of Ta–O bond distances ranging from 1.91–2.07 Å. In the second Ta5+ site, Ta5+ is bonded to six O2- atoms to form TaO6 octahedra that share corners with two TaO6 octahedra, corners with four equivalent CoO6 octahedra, faces with two equivalent LaO12 cuboctahedra, and faces with six SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–4°. There are a spread of Ta–O bond distances ranging from 1.97–1.99 Å. In the third Ta5+ site, Ta5+ is bonded to six O2- atoms to form TaO6 octahedra that share a cornercorner with one TaO6 octahedra, corners with five CoO6 octahedra, faces with two equivalent LaO12 cuboctahedra, and faces with six SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Ta–O bond distances ranging from 1.92–2.06 Å. In the fourth Ta5+ site, Ta5+ is bonded to six O2- atoms to form TaO6 octahedra that share corners with six CoO6 octahedra, faces with two equivalent LaO12 cuboctahedra, and faces with six SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–5°. There are a spread of Ta–O bond distances ranging from 1.97–2.00 Å. There are four inequivalent Co+2.50+ sites. In the first Co+2.50+ site, Co+2.50+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six TaO6 octahedra, faces with two equivalent LaO12 cuboctahedra, and faces with six SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–5°. There are one shorter (2.01 Å) and five longer (2.04 Å) Co–O bond lengths. In the second Co+2.50+ site, Co+2.50+ is bonded to six O2- atoms to form CoO6 octahedra that share a cornercorner with one CoO6 octahedra, corners with five TaO6 octahedra, faces with two equivalent LaO12 cuboctahedra, and faces with six SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–6°. There are a spread of Co–O bond distances ranging from 2.05–2.10 Å. In the third Co+2.50+ site, Co+2.50+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with two CoO6 octahedra, corners with four equivalent TaO6 octahedra, faces with two equivalent LaO12 cuboctahedra, and faces with six SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–4°. There are a spread of Co–O bond distances ranging from 1.83–2.05 Å. In the fourth Co+2.50+ site, Co+2.50+ is bonded to six O2- atoms to form CoO6 octahedra that share a cornercorner with one CoO6 octahedra, corners with five TaO6 octahedra, faces with two equivalent LaO12 cuboctahedra, and faces with six SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are five shorter (2.04 Å) and one longer (2.11 Å) Co–O bond lengths. There are twelve inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted linear geometry to three Sr2+, one La3+, one Ta5+, and one Co+2.50+ atom. In the second O2- site, O2- is bonded in a distorted linear geometry to four Sr2+ and two Co+2.50+ atoms. In the third O2- site, O2- is bonded in a distorted linear geometry to three Sr2+, one La3+, one Ta5+, and one Co+2.50+ atom. In the fourth O2- site, O2- is bonded in a distorted linear geometry to two equivalent Sr2+, two equivalent La3+, one Ta5+, and one Co+2.50+ atom. In the fifth O2- site, O2- is bonded in a distorted linear geometry to three Sr2+, one La3+, one Ta5+, and one Co+2.50+ atom. In the sixth O2- site, O2- is bonded in a distorted linear geometry to four Sr2+, one Ta5+, and one Co+2.50+ atom. In the seventh O2- site, O2- is bonded in a 2-coordinate geometry to three Sr2+, one La3+, one Ta5+, and one Co+2.50+ atom. In the eighth O2- site, O2- is bonded in a distorted linear geometry to four Sr2+, one Ta5+, and one Co+2.50+ atom. In the ninth O2- site, O2- is bonded in a distorted linear geometry to two equivalent Sr2+, two equivalent La3+, and two Co+2.50+ atoms. In the tenth O2- site, O2- is bonded in a distorted linear geometry to two equivalent Sr2+, two equivalent La3+, and two Ta5+ atoms. In the eleventh O2- site, O2- is bonded in a distorted linear geometry to four Sr2+ and two Ta5+ atoms. In the twelfth O2- site, O2- is bonded in a distorted linear geometry to two equivalent Sr2+, two equivalent La3+, one Ta5+, and one Co+2.50+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li3SbS3 by Materials Project

Li3SbS3 crystallizes in the orthorhombic Pna2_1 space group. The structure is three-dimensional. there are three inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to five S2- atoms to form distorted LiS5 trigonal bipyramids that share corners with two equivalent LiS4 tetrahedra, corners with four equivalent LiS5 trigonal bipyramids, corners with three equivalent LiS4 trigonal pyramids, edges with two equivalent LiS4 tetrahedra, and edges with two equivalent LiS4 trigonal pyramids. There are a spread of Li–S bond distances ranging from 2.52–2.80 Å. In the second Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share corners with two equivalent LiS4 tetrahedra, corners with two equivalent LiS5 trigonal bipyramids, corners with five equivalent LiS4 trigonal pyramids, and edges with two equivalent LiS5 trigonal bipyramids. There are a spread of Li–S bond distances ranging from 2.44–2.50 Å. In the third Li1+ site, Li1+ is bonded to four S2- atoms to form distorted LiS4 trigonal pyramids that share corners with five equivalent LiS4 tetrahedra, corners with three equivalent LiS5 trigonal bipyramids, corners with two equivalent LiS4 trigonal pyramids, and edges with two equivalent LiS5 trigonal bipyramids. There are a spread of Li–S bond distances ranging from 2.44–2.60 Å. Sb3+ is bonded in a distorted trigonal non-coplanar geometry to three S2- atoms. There are a spread of Sb–S bond distances ranging from 2.45–2.49 Å. There are three inequivalent S2- sites. In the first S2- site, S2- is bonded to four Li1+ and one Sb3+ atom to form distorted SLi4Sb trigonal bipyramids that share corners with two equivalent SLi5Sb pentagonal pyramids, corners with four equivalent SLi4Sb square pyramids, corners with two equivalent SLi4Sb trigonal bipyramids, edges with three equivalent SLi5Sb pentagonal pyramids, and an edgeedge with one SLi4Sb square pyramid. In the second S2- site, S2- is bonded to five Li1+ and one Sb3+ atom to form distorted SLi5Sb pentagonal pyramids that share corners with four equivalent SLi5Sb pentagonal pyramids, corners with three equivalent SLi4Sb square pyramids, corners with two equivalent SLi4Sb trigonal bipyramids, edges with two equivalent SLi4Sb square pyramids, and edges with three equivalent SLi4Sb trigonal bipyramids. In the third S2- site, S2- is bonded to four Li1+ and one Sb3+ atom to form distorted SLi4Sb square pyramids that share corners with three equivalent SLi5Sb pentagonal pyramids, corners with two equivalent SLi4Sb square pyramids, corners with four equivalent SLi4Sb trigonal bipyramids, edges with two equivalent SLi5Sb pentagonal pyramids, and an edgeedge with one SLi4Sb trigonal bipyramid.

36 MATERIALS SCIENCE↗

Materials Data on KMg6W by Materials Project

KMg6W crystallizes in the orthorhombic Amm2 space group. The structure is three-dimensional. K is bonded to twelve Mg atoms to form KMg12 cuboctahedra that share corners with four equivalent KMg12 cuboctahedra, corners with eight equivalent WMg12 cuboctahedra, edges with eight equivalent MgK2Mg8W2 cuboctahedra, faces with two equivalent KMg12 cuboctahedra, faces with four equivalent MgK2Mg8W2 cuboctahedra, and faces with four equivalent WMg12 cuboctahedra. There are a spread of K–Mg bond distances ranging from 3.27–3.45 Å. There are four inequivalent Mg sites. In the first Mg site, Mg is bonded to two equivalent K, eight Mg, and two equivalent W atoms to form distorted MgK2Mg8W2 cuboctahedra that share corners with twelve equivalent MgK2Mg8W2 cuboctahedra, edges with four equivalent KMg12 cuboctahedra, edges with four equivalent WMg12 cuboctahedra, faces with two equivalent KMg12 cuboctahedra, faces with two equivalent WMg12 cuboctahedra, and faces with six equivalent MgK2Mg8W2 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.18–3.22 Å. There are one shorter (3.27 Å) and one longer (3.29 Å) Mg–W bond lengths. In the second Mg site, Mg is bonded in a 2-coordinate geometry to two equivalent K, six Mg, and two equivalent W atoms. There are one shorter (2.81 Å) and one longer (2.83 Å) Mg–Mg bond lengths. Both Mg–W bond lengths are 2.95 Å. In the third Mg site, Mg is bonded in a 2-coordinate geometry to two equivalent K, six 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 K, six 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 KMg12 cuboctahedra, edges with eight equivalent MgK2Mg8W2 cuboctahedra, faces with two equivalent WMg12 cuboctahedra, faces with four equivalent KMg12 cuboctahedra, and faces with four equivalent MgK2Mg8W2 cuboctahedra.

36 MATERIALS SCIENCE↗

Materials Data on NaMg30BO31 by Materials Project

NaMg30BO31 crystallizes in the orthorhombic Pmm2 space group. The structure is three-dimensional. Na is bonded to six O atoms to form NaO6 octahedra that share corners with four MgO6 octahedra, edges with ten MgO6 octahedra, and edges with two equivalent MgO5 square pyramids. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of Na–O bond distances ranging from 2.19–2.33 Å. There are sixteen inequivalent Mg sites. In the first Mg site, Mg is bonded in a T-shaped geometry to three O atoms. There are two shorter (1.98 Å) and one longer (2.07 Å) Mg–O bond lengths. In the second Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with two equivalent NaO6 octahedra, corners with two equivalent MgO6 octahedra, and edges with twelve MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of Mg–O bond distances ranging from 2.03–2.21 Å. In the third Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with two equivalent NaO6 octahedra, corners with two equivalent MgO6 octahedra, corners with two equivalent MgO5 square pyramids, edges with ten MgO6 octahedra, and edges with two equivalent MgO5 square pyramids. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of Mg–O bond distances ranging from 2.02–2.20 Å. In the fourth Mg site, Mg is bonded to five O atoms to form MgO5 square pyramids that share corners with four MgO6 octahedra, corners with four MgO5 square pyramids, and edges with eight MgO6 octahedra. The corner-sharing octahedra tilt angles range from 3–4°. There are four shorter (2.11 Å) and one longer (2.12 Å) Mg–O bond lengths. In the fifth Mg site, Mg is bonded to six O atoms to form a mixture of edge and corner-sharing MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. There are a spread of Mg–O bond distances ranging from 2.08–2.18 Å. In the sixth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with two equivalent MgO6 octahedra, corners with two equivalent MgO5 square pyramids, edges with ten MgO6 octahedra, and edges with two equivalent MgO5 square pyramids. The corner-sharing octahedral tilt angles are 3°. There are a spread of Mg–O bond distances ranging from 1.95–2.31 Å. In the seventh Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, an edgeedge with one NaO6 octahedra, edges with seven MgO6 octahedra, and edges with two MgO5 square pyramids. The corner-sharing octahedra tilt angles range from 1–33°. There are a spread of Mg–O bond distances ranging from 2.05–2.32 Å. In the eighth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, edges with nine MgO6 octahedra, and edges with three MgO5 square pyramids. The corner-sharing octahedra tilt angles range from 1–4°. There are a spread of Mg–O bond distances ranging from 2.11–2.16 Å. In the ninth Mg site, Mg is bonded to five O atoms to form MgO5 square pyramids that share corners with four MgO6 octahedra, corners with four MgO5 square pyramids, an edgeedge with one NaO6 octahedra, and edges with seven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 4–11°. There are a spread of Mg–O bond distances ranging from 2.11–2.17 Å. In the tenth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with four MgO6 octahedra, corners with two equivalent MgO5 square pyramids, edges with nine MgO6 octahedra, and edges with two equivalent MgO5 square pyramids. The corner-sharing octahedra tilt angles range from 3–8°. There are a spread of Mg–O bond distances ranging from 2.05–2.27 Å. In the eleventh Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with four MgO6 octahedra, corners with two equivalent MgO5 square pyramids, an edgeedge with one NaO6 octahedra, edges with nine MgO6 octahedra, and an edgeedge with one MgO5 square pyramid. The corner-sharing octahedra tilt angles range from 1–7°. There are a spread of Mg–O bond distances ranging from 2.12–2.17 Å. In the twelfth Mg site, Mg is bonded to six O atoms to form a mixture of edge and corner-sharing MgO6 octahedra. The corner-sharing octahedra tilt angles range from 1–14°. There are a spread of Mg–O bond distances ranging from 2.11–2.24 Å. In the thirteenth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with four MgO6 octahedra, corners with two equivalent MgO5 square pyramids, an edgeedge with one NaO6 octahedra, edges with nine MgO6 octahedra, and edges with two equivalent MgO5 square pyramids. The corner-sharing octahedra tilt angles range from 1–7°. There are a spread of Mg–O bond distances ranging from 2.10–2.18 Å. In the fourteenth Mg site, Mg is bonded to five O atoms to form distorted MgO5 square pyramids that share corners with four MgO6 octahedra, corners with four MgO5 square pyramids, and edges with seven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 1–35°. There are a spread of Mg–O bond distances ranging from 2.07–2.26 Å. In the fifteenth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, an edgeedge with one NaO6 octahedra, and edges with eleven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 1–7°. There are a spread of Mg–O bond distances ranging from 2.11–2.19 Å. In the sixteenth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with four MgO6 octahedra, corners with two equivalent MgO5 square pyramids, edges with nine MgO6 octahedra, and an edgeedge with one MgO5 square pyramid. The corner-sharing octahedra tilt angles range from 3–11°. There are a spread of Mg–O bond distances ranging from 2.00–2.27 Å. B is bonded in a distorted trigonal planar geometry to three O atoms. There is two shorter (1.46 Å) and one longer (1.48 Å) B–O bond length. There are seventeen inequivalent O sites. In the first O site, O is bonded to one Na and five Mg atoms to form a mixture of edge and corner-sharing ONaMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–5°. In the second O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six ONaMg5 octahedra, edges with ten OMg6 octahedra, and edges with two equivalent OMg5 square pyramids. The corner-sharing octahedra tilt angles range from 0–5°. In the third O site, O is bonded to five Mg and one B atom to form distorted OMg5B octahedra that share corners with two equivalent OMg6 octahedra, corners with three OMg5 square pyramids, and edges with eight OMg6 octahedra. The corner-sharing octahedral tilt angles are 2°. In the fourth O site, O is bonded to one Na and five Mg atoms to form ONaMg5 octahedra that share corners with six ONaMg5 octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–5°. In the fifth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with two equivalent ONaMg5 octahedra, corners with two equivalent OMg5 square pyramids, and edges with ten OMg6 octahedra. The corner-sharing octahedral tilt angles are 3°. In the sixth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with four OMg6 octahedra, corners with two equivalent OMg5 square pyramids, edges with ten OMg6 octahedra, and edges with two equivalent OMg5 square pyramids. The corner-sharing octahedra tilt angles range from 0–5°. In the seventh O site, O is bonded to five Mg atoms to form OMg5 square pyramids that share corners with five OMg5B octahedra, corners with two equivalent OMg5 square pyramids, and edges with eight OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–9°. In the eighth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OMg6 octahedra, edges with nine ONaMg5 octahedra, and an edgeedge with one OMg5 square pyramid. The corner-sharing octahedra tilt angles range from 1–7°. In the ninth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OMg6 octahedra, edges with nine ONaMg5 octahedra, and edges with two OMg5 square pyramids. The corner-sharing octahedra tilt angles range from 1–6°. In the tenth O site, O is bonded to one Na and five Mg atoms to form ONaMg5 octahedra that share corners with four OMg6 octahedra, corners with two equivalent OMg5 square pyramids, and edges with nine ONaMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–9°. In the eleventh O site, O is bonded to five Mg atoms to form OMg5 square pyramids that share corners with five OMg5B octahedra, corners with two OMg5 square pyramids, and edges with eight OMg6 octahedra. The corner-sharing octahedra tilt angles range from 3–93°. In the twelfth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OMg6 octahedra and edges with eleven ONaMg5 octahedra. The corner-sharing octahedra tilt angles range from 1–9°. In the thirteenth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with four OMg6 octahedra, corners with two equivalent OMg5 square pyramids, edges with eleven OMg6 octahedra, and an edgeedge with one OMg5 square pyramid. The corner-sharing octahedra tilt angles range from 2–4°. In the fourteenth O site, O is bonded to one Na and five Mg atoms to form ONaMg5 octahedra that share corners with four OMg6 octahedra, edges with ten ONaMg5 octahedra, and edges with two equivalent OMg5 square pyramids. The corner-sharing octahedra tilt angles range from 1–3°. In the fifteenth O site, O is bonded in a distorted single-bond geometry to four Mg and one B atom. In the sixteenth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OMg6 octahedra and edges with twelve ONaMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the seventeenth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with four OMg6 octahedra, edges with ten OMg5B octahedra, and an edgeedge with one OMg5 square pyramid. The corner-sharing octahedra tilt angles range from 1–7°.

36 MATERIALS SCIENCE↗

Materials Data on Li9Mn2Co5O16 by Materials Project

Li9Mn2Co5O16 is Caswellsilverite-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are nine inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three equivalent MnO6 octahedra, corners with three equivalent CoO6 octahedra, an edgeedge with one MnO6 octahedra, an edgeedge with one CoO6 octahedra, and edges with ten LiO6 octahedra. The corner-sharing octahedra tilt angles range from 1–12°. There are a spread of Li–O bond distances ranging from 2.08–2.39 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three equivalent LiO6 octahedra, corners with three equivalent CoO6 octahedra, edges with five CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–13°. There are a spread of Li–O bond distances ranging from 2.05–2.26 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six CoO6 octahedra, edges with six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 4–9°. There are a spread of Li–O bond distances ranging from 2.10–2.23 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six CoO6 octahedra, edges with six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 3–6°. There are a spread of Li–O bond distances ranging from 2.10–2.21 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three equivalent MnO6 octahedra, corners with three equivalent CoO6 octahedra, an edgeedge with one MnO6 octahedra, edges with five CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–6°. There are a spread of Li–O bond distances ranging from 2.09–2.22 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six CoO6 octahedra, edges with two CoO6 octahedra, edges with four equivalent MnO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–7°. There are a spread of Li–O bond distances ranging from 2.07–2.22 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six MnO6 octahedra, edges with two MnO6 octahedra, edges with four equivalent CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–12°. There are a spread of Li–O bond distances ranging from 2.07–2.36 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three equivalent LiO6 octahedra, corners with three equivalent CoO6 octahedra, an edgeedge with one CoO6 octahedra, edges with four equivalent MnO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–13°. There are a spread of Li–O bond distances ranging from 1.99–2.22 Å. In the ninth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with two equivalent CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–13°. There are a spread of Li–O bond distances ranging from 2.02–2.25 Å. There are two inequivalent Mn+4.50+ sites. In the first Mn+4.50+ site, Mn+4.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with two equivalent CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–12°. There are a spread of Mn–O bond distances ranging from 1.84–2.02 Å. In the second Mn+4.50+ site, Mn+4.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, 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 1.94–2.22 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 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 1–10°. There are a spread of Co–O bond distances ranging from 1.72–2.18 Å. In the second Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 3–9°. There are a spread of Co–O bond distances ranging from 1.93–2.11 Å. In the third Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 4–6°. There are a spread of Co–O bond distances ranging from 1.93–2.10 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 1.92–2.12 Å. In the fifth Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent CoO6 octahedra, edges with four MnO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–10°. There are a spread of Co–O bond distances ranging from 1.89–2.18 Å. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded to four Li1+ and two equivalent Mn+4.50+ atoms to form OLi4Mn2 octahedra that share corners with six OLi4Co2 octahedra and edges with twelve OLi4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 3–10°. In the second O2- site, O2- is bonded to five Li1+ and one Co+2.80+ atom to form distorted OLi5Co octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 2–7°. In the third O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form OLi3Co3 octahedra that share corners with six OLi4Co2 octahedra and edges with twelve OLi5Co octahedra. The corner-sharing octahedra tilt angles range from 0–9°. In the fourth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–3°. In the fifth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the sixth O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two equivalent Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 1–2°. In the seventh O2- site, O2- is bonded to three Li1+, two equivalent Mn+4.50+, and one Co+2.80+ atom to form OLi3Mn2Co octahedra that share corners with six OLi3Mn2Co octahedra and edges with twelve OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 0–8°. In the eighth O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two equivalent Co+2.80+ atoms to form OLi3MnCo2 octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 2–7°. In the ninth O2- site, O2- is bonded to four Li1+ and two equivalent Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi4Co2 octahedra. The corner-sharing octahedra tilt angles range from 1–10°. In the tenth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–7°. In the eleventh O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the twelfth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–2°. In the thirteenth O2- site, O2- is bonded to three Li1+, two equivalent Mn+4.50+, and one Co+2.80+ atom to form a mixture of edge and corner-sharing OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the fourteenth O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two equivalent Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 1–3°. In the fifteenth O2- site, O2- is bonded to three Li1+, two equivalent Mn+4.50+, and one Co+2.80+ atom to form a mixture of edge and corner-sharing OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 0–8°. In the sixteenth 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 OLi4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 2–7°.

36 MATERIALS SCIENCE↗

Materials Data on Nd2Ga3(Fe7C)2 by Materials Project

Nd2Ga3(Fe7C)2 crystallizes in the monoclinic C2/m space group. The structure is three-dimensional. Nd is bonded in a distorted bent 120 degrees geometry to six Fe, three Ga, and two equivalent C atoms. There are a spread of Nd–Fe bond distances ranging from 3.08–3.33 Å. There are two shorter (3.33 Å) and one longer (3.41 Å) Nd–Ga bond lengths. Both Nd–C bond lengths are 2.55 Å. There are five inequivalent Fe sites. In the first Fe site, Fe is bonded in a 2-coordinate geometry to one Nd, ten Fe, and three Ga atoms. There are a spread of Fe–Fe bond distances ranging from 2.31–2.75 Å. There are one shorter (2.67 Å) and two longer (2.69 Å) Fe–Ga bond lengths. In the second Fe site, Fe is bonded to three equivalent Nd, seven Fe, and two equivalent Ga atoms to form FeNd3Ga2Fe7 cuboctahedra that share corners with four equivalent FeNd3Ga2Fe7 cuboctahedra, corners with five GaNd2Fe10 cuboctahedra, corners with four equivalent CNd2Fe4 octahedra, an edgeedge with one FeNd3Ga2Fe7 cuboctahedra, edges with three GaNd2Fe10 cuboctahedra, a faceface with one FeNd3Ga2Fe7 cuboctahedra, faces with three GaNd2Fe10 cuboctahedra, and faces with two equivalent CNd2Fe4 octahedra. The corner-sharing octahedra tilt angles range from 63–69°. There are a spread of Fe–Fe bond distances ranging from 2.56–2.70 Å. Both Fe–Ga bond lengths are 2.51 Å. In the third Fe site, Fe is bonded in a single-bond geometry to three Fe, two Ga, and one C atom. The Fe–Fe bond length is 2.58 Å. There are one shorter (2.50 Å) and one longer (2.51 Å) Fe–Ga bond lengths. The Fe–C bond length is 1.92 Å. In the fourth Fe site, Fe is bonded in a 12-coordinate geometry to two equivalent Nd, eight Fe, and two equivalent Ga atoms. Both Fe–Fe bond lengths are 2.50 Å. Both Fe–Ga bond lengths are 2.46 Å. In the fifth Fe site, Fe is bonded in a single-bond geometry to four Fe, two Ga, and one C atom. Both Fe–Ga bond lengths are 2.45 Å. The Fe–C bond length is 1.86 Å. There are two inequivalent Ga sites. In the first Ga site, Ga is bonded to two equivalent Nd and ten Fe atoms to form distorted GaNd2Fe10 cuboctahedra that share corners with four equivalent GaNd2Fe10 cuboctahedra, corners with six equivalent FeNd3Ga2Fe7 cuboctahedra, edges with two equivalent FeNd3Ga2Fe7 cuboctahedra, faces with two equivalent FeNd3Ga2Fe7 cuboctahedra, faces with four equivalent GaNd2Fe10 cuboctahedra, and faces with four equivalent CNd2Fe4 octahedra. In the second Ga site, Ga is bonded to two equivalent Nd and ten Fe atoms to form distorted GaNd2Fe10 cuboctahedra that share corners with two equivalent FeNd3Ga2Fe7 cuboctahedra, corners with four GaNd2Fe10 cuboctahedra, corners with two equivalent CNd2Fe4 octahedra, edges with two equivalent FeNd3Ga2Fe7 cuboctahedra, faces with two equivalent FeNd3Ga2Fe7 cuboctahedra, faces with four GaNd2Fe10 cuboctahedra, and faces with two equivalent CNd2Fe4 octahedra. The corner-sharing octahedral tilt angles are 45°. C is bonded to two equivalent Nd and four Fe atoms to form CNd2Fe4 octahedra that share corners with two equivalent GaNd2Fe10 cuboctahedra, corners with four equivalent FeNd3Ga2Fe7 cuboctahedra, corners with two equivalent CNd2Fe4 octahedra, faces with two equivalent FeNd3Ga2Fe7 cuboctahedra, and faces with four GaNd2Fe10 cuboctahedra. The corner-sharing octahedral tilt angles are 63°.

36 MATERIALS SCIENCE↗

Materials Data on CuSnPd2 by Materials Project

Pd2CuSn crystallizes in the tetragonal P4/mmm space group. The structure is three-dimensional. Pd is bonded to four equivalent Pd, four equivalent Cu, and four equivalent Sn atoms to form distorted PdCu4Sn4Pd4 cuboctahedra that share corners with twelve equivalent PdCu4Sn4Pd4 cuboctahedra, edges with eight equivalent PdCu4Sn4Pd4 cuboctahedra, edges with eight equivalent CuSn4Pd8 cuboctahedra, edges with eight equivalent SnCu4Pd8 cuboctahedra, faces with four equivalent CuSn4Pd8 cuboctahedra, faces with four equivalent SnCu4Pd8 cuboctahedra, and faces with ten equivalent PdCu4Sn4Pd4 cuboctahedra. All Pd–Pd bond lengths are 2.83 Å. All Pd–Cu bond lengths are 2.80 Å. All Pd–Sn bond lengths are 2.80 Å. Cu is bonded to eight equivalent Pd and four equivalent Sn atoms to form CuSn4Pd8 cuboctahedra that share corners with twelve equivalent CuSn4Pd8 cuboctahedra, edges with eight equivalent SnCu4Pd8 cuboctahedra, edges with sixteen equivalent PdCu4Sn4Pd4 cuboctahedra, faces with four equivalent SnCu4Pd8 cuboctahedra, faces with six equivalent CuSn4Pd8 cuboctahedra, and faces with eight equivalent PdCu4Sn4Pd4 cuboctahedra. All Cu–Sn bond lengths are 2.83 Å. Sn is bonded to eight equivalent Pd and four equivalent Cu atoms to form SnCu4Pd8 cuboctahedra that share corners with twelve equivalent SnCu4Pd8 cuboctahedra, edges with eight equivalent CuSn4Pd8 cuboctahedra, edges with sixteen equivalent PdCu4Sn4Pd4 cuboctahedra, faces with four equivalent CuSn4Pd8 cuboctahedra, faces with six equivalent SnCu4Pd8 cuboctahedra, and faces with eight equivalent PdCu4Sn4Pd4 cuboctahedra.

36 MATERIALS SCIENCE↗

Materials Data on Nd(YS2)3 by Materials Project

Nd(YS2)3 crystallizes in the monoclinic P2_1/m space group. The structure is three-dimensional. Nd3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Nd–S bond distances ranging from 2.90–3.05 Å. There are three inequivalent Y3+ sites. In the first Y3+ site, Y3+ is bonded to seven S2- atoms to form distorted YS7 pentagonal bipyramids that share corners with three YS6 octahedra, edges with two equivalent YS6 octahedra, and edges with four equivalent YS7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 38–51°. There are a spread of Y–S bond distances ranging from 2.70–2.95 Å. In the second Y3+ site, Y3+ is bonded to six S2- atoms to form YS6 octahedra that share corners with three equivalent YS6 octahedra, a cornercorner with one YS7 pentagonal bipyramid, edges with four equivalent YS6 octahedra, and edges with two equivalent YS7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 55–61°. There are a spread of Y–S bond distances ranging from 2.68–2.78 Å. In the third Y3+ site, Y3+ is bonded to six S2- atoms to form YS6 octahedra that share corners with three equivalent YS6 octahedra, corners with two equivalent YS7 pentagonal bipyramids, and edges with four equivalent YS6 octahedra. The corner-sharing octahedra tilt angles range from 55–61°. There are a spread of Y–S bond distances ranging from 2.67–2.80 Å. There are six inequivalent S2- sites. In the first S2- site, S2- is bonded in a 4-coordinate geometry to four Y3+ atoms. In the second S2- site, S2- is bonded to one Nd3+ and three Y3+ atoms to form distorted SNdY3 trigonal pyramids that share corners with two equivalent SNd2Y3 square pyramids, corners with four SNd2Y3 trigonal bipyramids, corners with two equivalent SNdY3 trigonal pyramids, edges with three equivalent SNd2Y3 square pyramids, and edges with two equivalent SNd3Y2 trigonal bipyramids. In the third S2- site, S2- is bonded in a rectangular see-saw-like geometry to four Y3+ atoms. In the fourth S2- site, S2- is bonded to two equivalent Nd3+ and three equivalent Y3+ atoms to form distorted SNd2Y3 square pyramids that share corners with six SNd2Y3 trigonal bipyramids, corners with two equivalent SNdY3 trigonal pyramids, edges with four equivalent SNd2Y3 square pyramids, edges with two SNd2Y3 trigonal bipyramids, and edges with three equivalent SNdY3 trigonal pyramids. In the fifth S2- site, S2- is bonded to two equivalent Nd3+ and three Y3+ atoms to form distorted SNd2Y3 trigonal bipyramids that share corners with two equivalent SNd2Y3 square pyramids, corners with two equivalent SNd3Y2 trigonal bipyramids, corners with three equivalent SNdY3 trigonal pyramids, an edgeedge with one SNd2Y3 square pyramid, and edges with five SNd2Y3 trigonal bipyramids. In the sixth S2- site, S2- is bonded to three equivalent Nd3+ and two equivalent Y3+ atoms to form distorted SNd3Y2 trigonal bipyramids that share corners with four equivalent SNd2Y3 square pyramids, corners with two equivalent SNd2Y3 trigonal bipyramids, a cornercorner with one SNdY3 trigonal pyramid, an edgeedge with one SNd2Y3 square pyramid, edges with seven SNd2Y3 trigonal bipyramids, and edges with two equivalent SNdY3 trigonal pyramids.

36 MATERIALS SCIENCE↗

Materials Data on LiMg6Mo by Materials Project

LiMg6Mo is beta Cu3Ti-derived structured and crystallizes in the orthorhombic Amm2 space group. The structure is three-dimensional. Li is bonded to twelve Mg atoms to form LiMg12 cuboctahedra that share corners with four equivalent LiMg12 cuboctahedra, corners with eight equivalent MoMg12 cuboctahedra, edges with eight equivalent MgLi2Mg8Mo2 cuboctahedra, faces with two equivalent LiMg12 cuboctahedra, faces with four equivalent MgLi2Mg8Mo2 cuboctahedra, and faces with four equivalent MoMg12 cuboctahedra. There are a spread of Li–Mg bond distances ranging from 3.03–3.25 Å. There are four inequivalent Mg sites. In the first Mg site, Mg is bonded to two equivalent Li, eight Mg, and two equivalent Mo atoms to form distorted MgLi2Mg8Mo2 cuboctahedra that share corners with twelve equivalent MgLi2Mg8Mo2 cuboctahedra, edges with four equivalent LiMg12 cuboctahedra, edges with four equivalent MoMg12 cuboctahedra, faces with two equivalent LiMg12 cuboctahedra, faces with two equivalent MoMg12 cuboctahedra, and faces with six equivalent MgLi2Mg8Mo2 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.03–3.09 Å. Both Mg–Mo bond lengths are 3.05 Å. In the second Mg site, Mg is bonded in a 12-coordinate geometry to two equivalent Li, eight Mg, and two equivalent Mo atoms. There are two shorter (2.89 Å) and two longer (3.21 Å) Mg–Mg bond lengths. Both Mg–Mo bond lengths are 3.00 Å. In the third Mg site, Mg is bonded in a 12-coordinate geometry to two equivalent Li, eight Mg, and two equivalent Mo atoms. Both Mg–Mo bond lengths are 2.96 Å. In the fourth Mg site, Mg is bonded in a 2-coordinate geometry to two equivalent Li, eight Mg, and two equivalent Mo atoms. Both Mg–Mo bond lengths are 2.97 Å. Mo is bonded to twelve Mg atoms to form MoMg12 cuboctahedra that share corners with four equivalent MoMg12 cuboctahedra, corners with eight equivalent LiMg12 cuboctahedra, edges with eight equivalent MgLi2Mg8Mo2 cuboctahedra, faces with two equivalent MoMg12 cuboctahedra, faces with four equivalent LiMg12 cuboctahedra, and faces with four equivalent MgLi2Mg8Mo2 cuboctahedra.

36 MATERIALS SCIENCE↗

Materials Data on Ba4ScTi4BiO15 by Materials Project

Ba4ScTi4BiO15 is (Cubic) Perovskite-derived structured and crystallizes in the orthorhombic Cmmm space group. The structure is three-dimensional. there are five inequivalent Ba2+ sites. In the first Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with four equivalent BiO12 cuboctahedra, corners with eight BaO12 cuboctahedra, faces with two equivalent BiO12 cuboctahedra, faces with four BaO12 cuboctahedra, faces with two equivalent ScO6 octahedra, and faces with six TiO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.84–2.92 Å. In the second Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share a cornercorner with one BiO12 cuboctahedra, corners with eleven BaO12 cuboctahedra, faces with six BaO12 cuboctahedra, and faces with eight TiO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.84–2.90 Å. In the third Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share a cornercorner with one BiO12 cuboctahedra, corners with eleven BaO12 cuboctahedra, faces with six BaO12 cuboctahedra, and faces with eight TiO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.84–2.90 Å. In the fourth Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share a cornercorner with one BiO12 cuboctahedra, corners with eleven BaO12 cuboctahedra, faces with six BaO12 cuboctahedra, and faces with eight TiO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.84–2.90 Å. In the fifth Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with four equivalent BiO12 cuboctahedra, corners with eight BaO12 cuboctahedra, faces with two equivalent BiO12 cuboctahedra, faces with four BaO12 cuboctahedra, faces with two equivalent ScO6 octahedra, and faces with six TiO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.84–2.92 Å. Sc3+ is bonded to six O2- atoms to form ScO6 octahedra that share corners with two equivalent ScO6 octahedra, corners with four equivalent TiO6 octahedra, faces with four equivalent BaO12 cuboctahedra, and faces with four equivalent BiO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–5°. There are two shorter (2.02 Å) and four longer (2.11 Å) Sc–O bond lengths. 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 ScO6 octahedra, corners with four TiO6 octahedra, faces with two equivalent BiO12 cuboctahedra, and faces with six BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–5°. There are a spread of Ti–O bond distances ranging from 1.94–2.04 Å. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six TiO6 octahedra and faces with eight BaO12 cuboctahedra. The corner-sharing octahedral tilt angles are 0°. There are two shorter (2.01 Å) and four longer (2.02 Å) Ti–O bond lengths. Bi3+ is bonded to twelve O2- atoms to form BiO12 cuboctahedra that share corners with two equivalent BiO12 cuboctahedra, corners with ten BaO12 cuboctahedra, faces with two equivalent BiO12 cuboctahedra, faces with four equivalent BaO12 cuboctahedra, faces with four equivalent ScO6 octahedra, and faces with four equivalent TiO6 octahedra. There are ten shorter (2.80 Å) and two longer (2.87 Å) Bi–O bond lengths. There are seven inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted linear geometry to three Ba2+, two equivalent Ti4+, and one Bi3+ atom. Both O–Ti bond lengths are 2.02 Å. In the second O2- site, O2- is bonded in a distorted linear geometry to two equivalent Ba2+, two equivalent Sc3+, and two equivalent Bi3+ atoms. In the third O2- site, O2- is bonded in a distorted linear geometry to three Ba2+, two equivalent Ti4+, and one Bi3+ atom. There are two shorter (2.87 Å) and one longer (2.90 Å) O–Ba bond lengths. In the fourth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two equivalent Ti4+ atoms. In the fifth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two Ti4+ atoms. In the sixth O2- site, O2- is bonded in a distorted linear geometry to two equivalent Ba2+, one Sc3+, one Ti4+, and two equivalent Bi3+ atoms. In the seventh O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two equivalent Ti4+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Li9Mn2Co5O16 by Materials Project

Li9Mn2Co5O16 is Caswellsilverite-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are nine inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with two equivalent MnO6 octahedra, corners with two CoO6 octahedra, an edgeedge with one MnO6 octahedra, edges with four CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–10°. There are a spread of Li–O bond distances ranging from 2.05–2.21 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one MnO6 octahedra, corners with four CoO6 octahedra, edges with two equivalent MnO6 octahedra, edges with two CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–11°. There are a spread of Li–O bond distances ranging from 2.06–2.25 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with four CoO6 octahedra, an edgeedge with one MnO6 octahedra, edges with five CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–13°. There are a spread of Li–O bond distances ranging from 2.07–2.42 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with two equivalent MnO6 octahedra, corners with three CoO6 octahedra, an edgeedge with one MnO6 octahedra, edges with three CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–13°. There are a spread of Li–O bond distances ranging from 2.03–2.40 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one MnO6 octahedra, corners with two equivalent LiO6 octahedra, corners with three CoO6 octahedra, edges with two equivalent MnO6 octahedra, edges with three CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–10°. There are a spread of Li–O bond distances ranging from 2.03–2.37 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with four CoO6 octahedra, an edgeedge with one MnO6 octahedra, edges with five CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–8°. There are a spread of Li–O bond distances ranging from 2.09–2.19 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one MnO6 octahedra, corners with five CoO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–7°. There are a spread of Li–O bond distances ranging from 2.05–2.28 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one MnO6 octahedra, corners with five CoO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–8°. There are a spread of Li–O bond distances ranging from 2.07–2.20 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 9–10°. There are a spread of Li–O bond distances ranging from 2.02–2.31 Å. There are two inequivalent Mn+4.50+ sites. In the first Mn+4.50+ site, Mn+4.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–8°. There are a spread of Mn–O bond distances ranging from 1.95–2.25 Å. In the second Mn+4.50+ site, Mn+4.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with 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 1.83–2.04 Å. There are five inequivalent Co+2.80+ sites. In the first Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form 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 4–10°. There are a spread of Co–O bond distances ranging from 1.74–2.27 Å. In the second Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 4–8°. There are a spread of Co–O bond distances ranging from 1.94–2.11 Å. In the third Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–11°. There are a spread of Co–O bond distances ranging from 1.91–2.25 Å. In the fourth Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–8°. There are a spread of Co–O bond distances ranging from 1.90–2.24 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 5–8°. There are a spread of Co–O bond distances ranging from 1.90–2.14 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 OLi5Co octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the second O2- site, O2- is bonded to four Li1+ and two equivalent Co+2.80+ atoms to form OLi4Co2 octahedra that share corners with six OLi5Co octahedra and edges with twelve OLi4Co2 octahedra. The corner-sharing octahedra tilt angles range from 3–9°. In the third O2- site, O2- is bonded to three Li1+, two equivalent Mn+4.50+, and one Co+2.80+ atom to form OLi3Mn2Co octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 1–9°. 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 1–8°. In the fifth 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 OLi4Co2 octahedra. The corner-sharing octahedra tilt angles range from 2–9°. In the sixth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form OLi3Co3 octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 1–3°. In the seventh O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–4°. In the eighth O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two equivalent Co+2.80+ atoms to form OLi3MnCo2 octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the ninth 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 1–7°. In the tenth O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two equivalent Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 2–8°. In the eleventh O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–9°. In the twelfth O2- site, O2- is bonded to four Li1+ and two equivalent Mn+4.50+ atoms to form a mixture of edge and corner-sharing OLi4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 3–8°. In the thirteenth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–9°. In the fourteenth O2- site, O2- is bonded to three Li1+, two equivalent Mn+4.50+, and one Co+2.80+ atom to form a mixture of edge and corner-sharing OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 1–3°. 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 1–4°. In the sixteenth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 0–9°.

36 MATERIALS SCIENCE↗

Materials Data on CeMg14Cd by Materials Project

Mg14CeCd crystallizes in the orthorhombic Amm2 space group. The structure is three-dimensional. there are seven inequivalent Mg sites. In the first Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share corners with four equivalent CdCe2Mg10 cuboctahedra, corners with fourteen MgMg12 cuboctahedra, edges with eighteen MgCeMg10Cd cuboctahedra, faces with two equivalent CeMg10Cd2 cuboctahedra, and faces with eighteen MgMg12 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.16–3.24 Å. In the second Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share corners with four equivalent CeMg10Cd2 cuboctahedra, corners with fourteen MgMg12 cuboctahedra, edges with eighteen MgCeMg10Cd cuboctahedra, faces with two equivalent CdCe2Mg10 cuboctahedra, and faces with eighteen MgMg12 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.15–3.24 Å. In the third Mg site, Mg is bonded to eight Mg, two equivalent Ce, and two equivalent Cd atoms to form distorted MgCe2Mg8Cd2 cuboctahedra that share corners with eighteen MgMg12 cuboctahedra, edges with two equivalent CeMg10Cd2 cuboctahedra, edges with two equivalent CdCe2Mg10 cuboctahedra, edges with fourteen MgCe2Mg8Cd2 cuboctahedra, faces with two equivalent CeMg10Cd2 cuboctahedra, faces with two equivalent CdCe2Mg10 cuboctahedra, and faces with sixteen MgCe2Mg8Cd2 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.16–3.29 Å. There are one shorter (3.23 Å) and one longer (3.24 Å) Mg–Ce bond lengths. There are one shorter (3.18 Å) and one longer (3.30 Å) Mg–Cd bond lengths. In the fourth Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share corners with four equivalent CeMg10Cd2 cuboctahedra, corners with four equivalent CdCe2Mg10 cuboctahedra, corners with ten MgCe2Mg8Cd2 cuboctahedra, edges with eighteen MgMg12 cuboctahedra, and faces with twenty MgMg12 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.14–3.23 Å. In the fifth Mg site, Mg is bonded to ten Mg, one Ce, and one Cd atom to form distorted MgCeMg10Cd cuboctahedra that share corners with eighteen MgCeMg10Cd cuboctahedra, edges with two equivalent CeMg10Cd2 cuboctahedra, edges with two equivalent CdCe2Mg10 cuboctahedra, edges with fourteen MgMg12 cuboctahedra, a faceface with one CeMg10Cd2 cuboctahedra, a faceface with one CdCe2Mg10 cuboctahedra, and faces with eighteen MgMg12 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.20–3.26 Å. The Mg–Ce bond length is 3.22 Å. The Mg–Cd bond length is 3.19 Å. In the sixth Mg site, Mg is bonded to eleven Mg and one Ce atom to form MgCeMg11 cuboctahedra that share corners with eighteen MgCeMg10Cd cuboctahedra, edges with two equivalent CeMg10Cd2 cuboctahedra, edges with sixteen MgMg12 cuboctahedra, a faceface with one CeMg10Cd2 cuboctahedra, faces with three equivalent CdCe2Mg10 cuboctahedra, and faces with sixteen MgMg12 cuboctahedra. Both Mg–Mg bond lengths are 3.23 Å. The Mg–Ce bond length is 3.22 Å. In the seventh Mg site, Mg is bonded to eleven Mg and one Cd atom to form distorted MgMg11Cd cuboctahedra that share corners with eighteen MgCeMg10Cd cuboctahedra, edges with two equivalent CdCe2Mg10 cuboctahedra, edges with sixteen MgMg12 cuboctahedra, a faceface with one CdCe2Mg10 cuboctahedra, faces with three equivalent CeMg10Cd2 cuboctahedra, and faces with sixteen MgMg12 cuboctahedra. The Mg–Cd bond length is 3.18 Å. Ce is bonded to ten Mg and two equivalent Cd atoms to form CeMg10Cd2 cuboctahedra that share corners with six equivalent CeMg10Cd2 cuboctahedra, corners with twelve MgMg12 cuboctahedra, edges with two equivalent CdCe2Mg10 cuboctahedra, edges with sixteen MgCeMg10Cd cuboctahedra, faces with two equivalent CdCe2Mg10 cuboctahedra, and faces with eighteen MgMg12 cuboctahedra. Both Ce–Cd bond lengths are 3.23 Å. Cd is bonded to ten Mg and two equivalent Ce atoms to form CdCe2Mg10 cuboctahedra that share corners with six equivalent CdCe2Mg10 cuboctahedra, corners with twelve MgMg12 cuboctahedra, edges with two equivalent CeMg10Cd2 cuboctahedra, edges with sixteen MgCeMg10Cd cuboctahedra, faces with two equivalent CeMg10Cd2 cuboctahedra, and faces with eighteen MgMg12 cuboctahedra.

36 MATERIALS SCIENCE↗

Materials Data on Li5Al(Co2O5)2 by Materials Project

Li5Al(Co2O5)2 is alpha Po-derived structured and crystallizes in the trigonal R-3m 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 corners with six CoO6 octahedra, edges with six equivalent LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 3–4°. There are three shorter (2.11 Å) and three longer (2.12 Å) Li–O bond lengths. In the second Li1+ site, Li1+ is bonded to six equivalent O2- atoms to form LiO6 octahedra that share corners with six equivalent CoO6 octahedra, edges with six equivalent LiO6 octahedra, and edges with six equivalent CoO6 octahedra. The corner-sharing octahedral tilt angles are 4°. All Li–O bond lengths are 2.12 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three equivalent CoO6 octahedra, corners with three equivalent AlO6 octahedra, edges with three equivalent CoO6 octahedra, edges with three equivalent AlO6 octahedra, and edges with six equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–8°. There are three shorter (2.12 Å) and three longer (2.16 Å) Li–O bond lengths. There are two inequivalent Co3+ sites. In the first Co3+ site, Co3+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six equivalent CoO6 octahedra. The corner-sharing octahedra tilt angles range from 3–4°. All Co–O bond lengths are 2.03 Å. In the second Co3+ site, Co3+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six equivalent CoO6 octahedra. The corner-sharing octahedral tilt angles are 4°. There are three shorter (2.01 Å) and three longer (2.02 Å) Co–O bond lengths. Al3+ is bonded to six equivalent O2- atoms to form AlO6 octahedra that share corners with six equivalent LiO6 octahedra, edges with six equivalent LiO6 octahedra, and edges with six equivalent AlO6 octahedra. The corner-sharing octahedral tilt angles are 8°. All Al–O bond lengths are 1.96 Å. There are five inequivalent O2- sites. In the first O2- site, O2- is bonded to three equivalent Li1+ and three equivalent Co3+ atoms to form a mixture of corner and edge-sharing OLi3Co3 octahedra. The corner-sharing octahedral tilt angles are 0°. In the second O2- site, O2- is bonded to three equivalent Li1+ and three equivalent Al3+ atoms to form a mixture of corner and edge-sharing OLi3Al3 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. In the third O2- site, O2- is bonded to three equivalent Li1+ and three equivalent Co3+ atoms to form a mixture of corner and edge-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. In the fourth O2- site, O2- is bonded to three equivalent Li1+ and three equivalent Co3+ atoms to form a mixture of corner and edge-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. In the fifth O2- site, O2- is bonded to three equivalent Li1+ and three equivalent Co3+ atoms to form a mixture of corner and edge-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 0–1°.

36 MATERIALS SCIENCE↗

Materials Data on Li7Ta24O64 by Materials Project

Li7Ta24O64 crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are seven inequivalent Li sites. In the first Li site, Li is bonded in a 4-coordinate geometry to six O atoms. There are a spread of Li–O bond distances ranging from 2.13–2.61 Å. In the second Li site, Li is bonded in a 4-coordinate geometry to four O atoms. There are a spread of Li–O bond distances ranging from 2.13–2.49 Å. In the third Li site, Li is bonded in a 4-coordinate geometry to four O atoms. There are a spread of Li–O bond distances ranging from 2.15–2.43 Å. In the fourth Li site, Li is bonded in a 4-coordinate geometry to four O atoms. There are a spread of Li–O bond distances ranging from 2.13–2.48 Å. In the fifth Li site, Li is bonded in a 5-coordinate geometry to five O atoms. There are a spread of Li–O bond distances ranging from 1.90–2.33 Å. In the sixth Li site, Li is bonded in a 5-coordinate geometry to five O atoms. There are a spread of Li–O bond distances ranging from 1.89–2.35 Å. In the seventh Li site, Li is bonded in a 3-coordinate geometry to seven O atoms. There are a spread of Li–O bond distances ranging from 1.99–2.60 Å. There are twelve inequivalent Ta sites. In the first Ta site, Ta is bonded to six O atoms to form TaO6 octahedra that share corners with six TaO6 octahedra and an edgeedge with one TaO7 pentagonal bipyramid. The corner-sharing octahedra tilt angles range from 12–39°. There are a spread of Ta–O bond distances ranging from 1.93–2.09 Å. In the second Ta site, Ta is bonded to six O atoms to form TaO6 octahedra that share corners with six TaO6 octahedra and an edgeedge with one TaO7 pentagonal bipyramid. The corner-sharing octahedra tilt angles range from 16–38°. There are a spread of Ta–O bond distances ranging from 1.91–2.16 Å. In the third Ta site, Ta is bonded to six O atoms to form TaO6 octahedra that share corners with six TaO6 octahedra and an edgeedge with one TaO7 pentagonal bipyramid. The corner-sharing octahedra tilt angles range from 14–38°. There are a spread of Ta–O bond distances ranging from 1.94–2.09 Å. In the fourth Ta site, Ta is bonded to six O atoms to form TaO6 octahedra that share corners with six TaO6 octahedra and an edgeedge with one TaO7 pentagonal bipyramid. The corner-sharing octahedra tilt angles range from 16–38°. There are a spread of Ta–O bond distances ranging from 1.92–2.16 Å. In the fifth Ta site, Ta is bonded to six O atoms to form TaO6 octahedra that share corners with six TaO6 octahedra and an edgeedge with one TaO7 pentagonal bipyramid. The corner-sharing octahedra tilt angles range from 17–39°. There are a spread of Ta–O bond distances ranging from 1.94–2.06 Å. In the sixth Ta site, Ta is bonded to six O atoms to form TaO6 octahedra that share corners with six TaO6 octahedra and an edgeedge with one TaO7 pentagonal bipyramid. The corner-sharing octahedra tilt angles range from 17–38°. There are a spread of Ta–O bond distances ranging from 1.94–2.06 Å. In the seventh Ta site, Ta is bonded to seven O atoms to form TaO7 pentagonal bipyramids that share corners with two equivalent TaO7 pentagonal bipyramids and edges with five TaO6 octahedra. There are a spread of Ta–O bond distances ranging from 1.93–2.14 Å. In the eighth Ta site, Ta is bonded to seven O atoms to form TaO7 pentagonal bipyramids that share corners with two equivalent TaO7 pentagonal bipyramids and edges with five TaO6 octahedra. There are a spread of Ta–O bond distances ranging from 1.93–2.15 Å. In the ninth Ta site, Ta is bonded to six O atoms to form TaO6 octahedra that share corners with six TaO6 octahedra and an edgeedge with one TaO7 pentagonal bipyramid. The corner-sharing octahedra tilt angles range from 1–37°. There are a spread of Ta–O bond distances ranging from 1.93–2.13 Å. In the tenth Ta site, Ta is bonded to six O atoms to form TaO6 octahedra that share corners with six TaO6 octahedra and an edgeedge with one TaO7 pentagonal bipyramid. The corner-sharing octahedra tilt angles range from 0–38°. There are a spread of Ta–O bond distances ranging from 1.91–2.10 Å. In the eleventh Ta site, Ta is bonded to six O atoms to form TaO6 octahedra that share corners with six TaO6 octahedra and an edgeedge with one TaO7 pentagonal bipyramid. The corner-sharing octahedra tilt angles range from 1–38°. There are a spread of Ta–O bond distances ranging from 1.94–2.10 Å. In the twelfth Ta site, Ta is bonded to six O atoms to form TaO6 octahedra that share corners with six TaO6 octahedra and an edgeedge with one TaO7 pentagonal bipyramid. The corner-sharing octahedra tilt angles range from 0–38°. There are a spread of Ta–O bond distances ranging from 1.92–2.09 Å. There are forty-four inequivalent O sites. In the first O site, O is bonded in a linear geometry to two equivalent Ta atoms. In the second O site, O is bonded in a linear geometry to two equivalent Ta atoms. In the third O site, O is bonded in a distorted trigonal non-coplanar geometry to three Ta atoms. In the fourth O site, O is bonded in a distorted trigonal non-coplanar geometry to three Ta atoms. In the fifth O site, O is bonded in a distorted trigonal non-coplanar geometry to three Ta atoms. In the sixth O site, O is bonded in a distorted trigonal non-coplanar geometry to three Ta atoms. In the seventh O site, O is bonded in a distorted trigonal planar geometry to one Li and two Ta atoms. In the eighth O site, O is bonded in a bent 150 degrees geometry to two Ta atoms. In the ninth O site, O is bonded in a distorted bent 150 degrees geometry to one Li and two Ta atoms. In the tenth O site, O is bonded in a bent 150 degrees geometry to two Ta atoms. In the eleventh O site, O is bonded in a distorted T-shaped geometry to two Li and two equivalent Ta atoms. In the twelfth O site, O is bonded in a T-shaped geometry to one Li and two equivalent Ta atoms. In the thirteenth O site, O is bonded in a T-shaped geometry to one Li and two equivalent Ta atoms. In the fourteenth O site, O is bonded in a T-shaped geometry to one Li and two equivalent Ta atoms. In the fifteenth O site, O is bonded in a linear geometry to two equivalent Ta atoms. In the sixteenth O site, O is bonded in a linear geometry to two equivalent Ta atoms. In the seventeenth O site, O is bonded in a linear geometry to two equivalent Ta atoms. In the eighteenth O site, O is bonded in a linear geometry to two equivalent Ta atoms. In the nineteenth O site, O is bonded in a distorted trigonal non-coplanar geometry to three Ta atoms. In the twentieth O site, O is bonded in a distorted trigonal planar geometry to three Ta atoms. In the twenty-first O site, O is bonded in a distorted trigonal non-coplanar geometry to three Ta atoms. In the twenty-second O site, O is bonded in a distorted trigonal planar geometry to three Ta atoms. In the twenty-third O site, O is bonded to one Li and three Ta atoms to form distorted corner-sharing OLiTa3 tetrahedra. In the twenty-fourth O site, O is bonded to one Li and three Ta atoms to form distorted corner-sharing OLiTa3 tetrahedra. In the twenty-fifth O site, O is bonded in a 4-coordinate geometry to two Li and two equivalent Ta atoms. In the twenty-sixth O site, O is bonded in a distorted T-shaped geometry to one Li and two equivalent Ta atoms. In the twenty-seventh O site, O is bonded in a distorted T-shaped geometry to one Li and two equivalent Ta atoms. In the twenty-eighth O site, O is bonded in a distorted T-shaped geometry to one Li and two equivalent Ta atoms. In the twenty-ninth O site, O is bonded in a distorted trigonal non-coplanar geometry to one Li and two Ta atoms. In the thirtieth O site, O is bonded in a distorted trigonal non-coplanar geometry to one Li and two Ta atoms. In the thirty-first O site, O is bonded in a distorted trigonal non-coplanar geometry to one Li and two Ta atoms. In the thirty-second O site, O is bonded in a distorted trigonal non-coplanar geometry to one Li and two Ta atoms. In the thirty-third O site, O is bonded in a distorted T-shaped geometry to one Li and two equivalent Ta atoms. In the thirty-fourth O site, O is bonded in a distorted T-shaped geometry to one Li and two equivalent Ta atoms. In the thirty-fifth O site, O is bonded in a bent 150 degrees geometry to two equivalent Ta atoms. In the thirty-sixth O site, O is bonded in a linear geometry to two equivalent Ta atoms. In the thirty-seventh O site, O is bonded in a distorted T-shaped geometry to one Li and two equivalent Ta atoms. In the thirty-eighth O site, O is bonded in a linear geometry to two equivalent Ta atoms. In the thirty-ninth O site, O is bonded in a T-shaped geometry to one Li and two equivalent Ta atoms. In the fortieth O site, O is bonded in a distorted T-shaped geometry to one Li and two equivalent Ta atoms. In the forty-first O site, O is bonded in a distorted T-shaped geometry to one Li and two equivalent Ta atoms. In the forty-second O site, O is bonded in a distorted T-shaped geometry to one Li and two equivalent Ta atoms. In the forty-third O site, O is bonded in a distorted linear geometry to one Li and two Ta atoms. In the forty-fourth O site, O is bonded in a distorted linear geometry to two Ta atoms.

36 MATERIALS SCIENCE↗