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Materials Data on NaSr2LaTi4O12 by Materials Project

NaSr2LaTi4O12 is (Cubic) Perovskite-derived structured and crystallizes in the tetragonal I4/mmm space group. The structure is three-dimensional. Na1+ is bonded to twelve O2- atoms to form NaO12 cuboctahedra that share corners with four equivalent NaO12 cuboctahedra, corners with eight equivalent SrO12 cuboctahedra, faces with two equivalent SrO12 cuboctahedra, faces with four equivalent LaO12 cuboctahedra, and faces with eight equivalent TiO6 octahedra. There are four shorter (2.78 Å) and eight longer (2.80 Å) Na–O bond lengths. Sr2+ is bonded to twelve O2- atoms to form SrO12 cuboctahedra that share corners with four equivalent NaO12 cuboctahedra, corners with four equivalent SrO12 cuboctahedra, corners with four equivalent LaO12 cuboctahedra, a faceface with one NaO12 cuboctahedra, a faceface with one LaO12 cuboctahedra, faces with four equivalent SrO12 cuboctahedra, and faces with eight equivalent TiO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.77–2.81 Å. La3+ is bonded to twelve O2- atoms to form LaO12 cuboctahedra that share corners with four equivalent LaO12 cuboctahedra, corners with eight equivalent SrO12 cuboctahedra, faces with two equivalent SrO12 cuboctahedra, faces with four equivalent NaO12 cuboctahedra, and faces with eight equivalent TiO6 octahedra. There are eight shorter (2.73 Å) and four longer (2.78 Å) La–O bond lengths. Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six equivalent TiO6 octahedra, faces with two equivalent NaO12 cuboctahedra, faces with two equivalent LaO12 cuboctahedra, and faces with four equivalent SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–3°. There are a spread of Ti–O bond distances ranging from 1.95–1.98 Å. There are three inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted linear geometry to four equivalent Sr2+ and two equivalent Ti4+ atoms. In the second O2- site, O2- is bonded in a distorted linear geometry to two equivalent Na1+, two equivalent La3+, and two equivalent Ti4+ atoms. In the third O2- site, O2- is bonded in a distorted linear geometry to one Na1+, two equivalent Sr2+, one La3+, and two equivalent Ti4+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on SrMg6Mo by Materials Project

SrMg6Mo crystallizes in the orthorhombic Amm2 space group. The structure is three-dimensional. Sr is bonded to twelve Mg atoms to form SrMg12 cuboctahedra that share corners with four equivalent SrMg12 cuboctahedra, corners with eight equivalent MoMg12 cuboctahedra, edges with eight equivalent MgSr2Mg8Mo2 cuboctahedra, faces with two equivalent SrMg12 cuboctahedra, faces with four equivalent MgSr2Mg8Mo2 cuboctahedra, and faces with four equivalent MoMg12 cuboctahedra. There are a spread of Sr–Mg bond distances ranging from 3.28–3.42 Å. There are four inequivalent Mg sites. In the first Mg site, Mg is bonded to two equivalent Sr, eight Mg, and two equivalent Mo atoms to form distorted MgSr2Mg8Mo2 cuboctahedra that share corners with twelve equivalent MgSr2Mg8Mo2 cuboctahedra, edges with four equivalent SrMg12 cuboctahedra, edges with four equivalent MoMg12 cuboctahedra, faces with two equivalent SrMg12 cuboctahedra, faces with two equivalent MoMg12 cuboctahedra, and faces with six equivalent MgSr2Mg8Mo2 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.17–3.21 Å. There are one shorter (3.25 Å) and one longer (3.31 Å) Mg–Mo bond lengths. In the second Mg site, Mg is bonded in a 2-coordinate geometry to two equivalent Sr, six Mg, and two equivalent Mo atoms. There are one shorter (2.84 Å) and one longer (2.86 Å) Mg–Mg bond lengths. Both Mg–Mo bond lengths are 2.96 Å. In the third Mg site, Mg is bonded in a 2-coordinate geometry to two equivalent Sr, six Mg, and two equivalent Mo atoms. Both Mg–Mo bond lengths are 2.99 Å. In the fourth Mg site, Mg is bonded in a 2-coordinate geometry to two equivalent Sr, six 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 SrMg12 cuboctahedra, edges with eight equivalent MgSr2Mg8Mo2 cuboctahedra, faces with two equivalent MoMg12 cuboctahedra, faces with four equivalent SrMg12 cuboctahedra, and faces with four equivalent MgSr2Mg8Mo2 cuboctahedra.

36 MATERIALS SCIENCE↗

Materials Data on Li9Mn2Co5O16 by Materials Project

Li9Mn2Co5O16 is Caswellsilverite-derived structured and crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are nine inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with four CoO6 octahedra, edges with three MnO6 octahedra, edges with three CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–15°. There are a spread of Li–O bond distances ranging from 2.09–2.26 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one MnO6 octahedra, corners with five CoO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–14°. There are a spread of Li–O bond distances ranging from 2.07–2.32 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one MnO6 octahedra, corners with two equivalent LiO6 octahedra, corners with three CoO6 octahedra, edges with five CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–8°. There are a spread of Li–O bond distances ranging from 2.01–2.32 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 five 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 2.02–2.20 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one MnO6 octahedra, corners with five CoO6 octahedra, edges with four CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–14°. There are a spread of Li–O bond distances ranging from 2.07–2.43 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 three CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 9–12°. There are a spread of Li–O bond distances ranging from 2.06–2.30 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with two equivalent MnO6 octahedra, corners with three CoO6 octahedra, edges with three MnO6 octahedra, edges with three CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–12°. There are a spread of Li–O bond distances ranging from 1.99–2.19 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one 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 4–12°. There are a spread of Li–O bond distances ranging from 1.99–2.26 Å. In the ninth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with four CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–8°. There are a spread of Li–O bond distances ranging from 2.11–2.16 Å. There are two inequivalent Mn+4.50+ sites. In the first Mn+4.50+ site, Mn+4.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–7°. There is three shorter (1.95 Å) and three longer (1.96 Å) Mn–O bond length. In the second Mn+4.50+ site, Mn+4.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–9°. There is three shorter (1.95 Å) and three longer (1.96 Å) Mn–O bond length. There are five inequivalent Co+2.80+ sites. In the first Co+2.80+ site, Co+2.80+ is bonded 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 1.99–2.19 Å. In the second Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form distorted CoO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with two equivalent CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–15°. There are a spread of Co–O bond distances ranging from 1.79–2.35 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 4–11°. There are a spread of Co–O bond distances ranging from 2.00–2.11 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 6–12°. There are a spread of Co–O bond distances ranging from 1.96–2.15 Å. In the fifth Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form distorted CoO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with two equivalent CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–14°. There are a spread of Co–O bond distances ranging from 1.79–2.36 Å. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded to three Li1+, two equivalent Mn+4.50+, and one Co+2.80+ atom to form distorted OLi3Mn2Co octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 0–9°. In the second O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two equivalent Co+2.80+ atoms to form OLi3MnCo2 octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 1–6°. 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 0–18°. In the fourth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form OLi3Co3 octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 1–3°. In the fifth O2- site, O2- is bonded to five Li1+ and one Co+2.80+ atom to form OLi5Co octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 0–10°. In the sixth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 2–11°. In the seventh O2- site, O2- is bonded to four Li1+ and two equivalent Co+2.80+ atoms to form OLi4Co2 octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 0–18°. In the eighth O2- site, O2- is bonded to three Li1+, two equivalent Mn+4.50+, and one Co+2.80+ atom to form OLi3Mn2Co octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 1–10°. In the ninth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form OLi3Co3 octahedra that share corners with six OLi3Mn2Co octahedra and edges with twelve OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 2–6°. In the tenth O2- site, O2- is bonded to three Li1+, two equivalent Mn+4.50+, and one Co+2.80+ atom to form a mixture of distorted edge and corner-sharing OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 0–10°. In the eleventh O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form OLi3Co3 octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 3–12°. In the twelfth O2- site, O2- is bonded to four Li1+ and two equivalent Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi4Co2 octahedra. The corner-sharing octahedra tilt angles range from 0–18°. In the thirteenth O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two equivalent Co+2.80+ atoms to form a mixture of distorted edge and corner-sharing OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 1–9°. In the fourteenth O2- site, O2- is bonded to five Li1+ and one Co+2.80+ atom to form OLi5Co octahedra that share corners with six OLi3Mn2Co octahedra and edges with twelve OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 0–11°. In the fifteenth 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 1–8°. In the sixteenth O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two equivalent Co+2.80+ atoms to form OLi3MnCo2 octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 0–18°.

36 MATERIALS SCIENCE↗

Materials Data on K3Er4(CuTe2)5 by Materials Project

K3Er4(CuTe2)5 crystallizes in the orthorhombic Pmn2_1 space group. The structure is three-dimensional. there are three inequivalent K1+ sites. In the first K1+ site, K1+ is bonded in a 7-coordinate geometry to seven Te2- atoms. There are a spread of K–Te bond distances ranging from 3.47–3.71 Å. In the second K1+ site, K1+ is bonded to seven Te2- atoms to form distorted KTe7 pentagonal bipyramids that share corners with six ErTe6 octahedra, corners with eight CuTe4 tetrahedra, edges with three ErTe6 octahedra, edges with three CuTe4 tetrahedra, a faceface with one ErTe6 octahedra, and faces with two equivalent KTe7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 36–62°. There are a spread of K–Te bond distances ranging from 3.45–3.66 Å. In the third K1+ site, K1+ is bonded in a body-centered cubic geometry to eight Te2- atoms. There are a spread of K–Te bond distances ranging from 3.58–3.95 Å. There are four inequivalent Er3+ sites. In the first Er3+ site, Er3+ is bonded to six Te2- atoms to form ErTe6 octahedra that share corners with five ErTe6 octahedra, corners with four equivalent KTe7 pentagonal bipyramids, corners with four CuTe4 tetrahedra, edges with two equivalent ErTe6 octahedra, edges with four CuTe4 tetrahedra, a faceface with one KTe7 pentagonal bipyramid, and a faceface with one CuTe4 tetrahedra. The corner-sharing octahedra tilt angles range from 44–48°. There are a spread of Er–Te bond distances ranging from 2.99–3.19 Å. In the second Er3+ site, Er3+ is bonded to six Te2- atoms to form ErTe6 octahedra that share corners with five ErTe6 octahedra, corners with two equivalent CuTe4 tetrahedra, edges with two equivalent ErTe6 octahedra, and edges with four CuTe4 tetrahedra. The corner-sharing octahedra tilt angles range from 44–46°. There are a spread of Er–Te bond distances ranging from 3.00–3.10 Å. In the third Er3+ site, Er3+ is bonded to six Te2- atoms to form ErTe6 octahedra that share corners with five ErTe6 octahedra, corners with four CuTe4 tetrahedra, edges with two equivalent ErTe6 octahedra, edges with two equivalent KTe7 pentagonal bipyramids, edges with two equivalent CuTe4 tetrahedra, and a faceface with one CuTe4 tetrahedra. The corner-sharing octahedra tilt angles range from 44–48°. There are a spread of Er–Te bond distances ranging from 2.99–3.16 Å. In the fourth Er3+ site, Er3+ is bonded to six Te2- atoms to form ErTe6 octahedra that share corners with five ErTe6 octahedra, corners with two equivalent KTe7 pentagonal bipyramids, corners with three CuTe4 tetrahedra, edges with two equivalent ErTe6 octahedra, an edgeedge with one KTe7 pentagonal bipyramid, edges with four CuTe4 tetrahedra, and a faceface with one CuTe4 tetrahedra. The corner-sharing octahedral tilt angles are 44°. There are a spread of Er–Te bond distances ranging from 2.95–3.16 Å. There are five inequivalent Cu1+ sites. In the first Cu1+ site, Cu1+ is bonded to four Te2- atoms to form CuTe4 tetrahedra that share corners with four equivalent KTe7 pentagonal bipyramids, corners with four CuTe4 tetrahedra, edges with four ErTe6 octahedra, and an edgeedge with one KTe7 pentagonal bipyramid. There are two shorter (2.65 Å) and two longer (2.70 Å) Cu–Te bond lengths. In the second Cu1+ site, Cu1+ is bonded to four Te2- atoms to form CuTe4 tetrahedra that share corners with two equivalent KTe7 pentagonal bipyramids, corners with three CuTe4 tetrahedra, and edges with four ErTe6 octahedra. There are a spread of Cu–Te bond distances ranging from 2.63–2.78 Å. In the third Cu1+ site, Cu1+ is bonded to four Te2- atoms to form distorted CuTe4 tetrahedra that share corners with five ErTe6 octahedra, corners with two equivalent KTe7 pentagonal bipyramids, corners with four CuTe4 tetrahedra, edges with two equivalent ErTe6 octahedra, an edgeedge with one CuTe4 tetrahedra, and a faceface with one ErTe6 octahedra. The corner-sharing octahedra tilt angles range from 49–61°. There are a spread of Cu–Te bond distances ranging from 2.64–2.70 Å. In the fourth Cu1+ site, Cu1+ is bonded to four Te2- atoms to form distorted CuTe4 tetrahedra that share corners with five ErTe6 octahedra, corners with four CuTe4 tetrahedra, edges with two equivalent ErTe6 octahedra, an edgeedge with one CuTe4 tetrahedra, and a faceface with one ErTe6 octahedra. The corner-sharing octahedra tilt angles range from 46–61°. There are a spread of Cu–Te bond distances ranging from 2.61–2.72 Å. In the fifth Cu1+ site, Cu1+ is bonded to four Te2- atoms to form CuTe4 tetrahedra that share corners with three ErTe6 octahedra, corners with nine CuTe4 tetrahedra, edges with two equivalent ErTe6 octahedra, edges with two equivalent KTe7 pentagonal bipyramids, and a faceface with one ErTe6 octahedra. The corner-sharing octahedra tilt angles range from 17–47°. There are three shorter (2.64 Å) and one longer (2.91 Å) Cu–Te bond lengths. There are ten inequivalent Te2- sites. In the first Te2- site, Te2- is bonded in a 7-coordinate geometry to four K1+, two equivalent Er3+, and one Cu1+ atom. In the second Te2- site, Te2- is bonded in a 7-coordinate geometry to four K1+, two equivalent Er3+, and one Cu1+ atom. In the third Te2- site, Te2- is bonded to one K1+, three Er3+, and two equivalent Cu1+ atoms to form distorted edge-sharing TeKEr3Cu2 pentagonal pyramids. In the fourth Te2- site, Te2- is bonded to one K1+, three Er3+, and two equivalent Cu1+ atoms to form distorted edge-sharing TeKEr3Cu2 pentagonal pyramids. In the fifth Te2- site, Te2- is bonded in a 7-coordinate geometry to two equivalent K1+, two Er3+, and three Cu1+ atoms. In the sixth Te2- site, Te2- is bonded in a 6-coordinate geometry to two equivalent K1+, two Er3+, and two equivalent Cu1+ atoms. In the seventh Te2- site, Te2- is bonded in a 7-coordinate geometry to three Er3+ and four Cu1+ atoms. In the eighth Te2- site, Te2- is bonded in a 5-coordinate geometry to three Er3+ and two Cu1+ atoms. In the ninth Te2- site, Te2- is bonded in a 8-coordinate geometry to four K1+, two equivalent Er3+, and two Cu1+ atoms. In the tenth Te2- site, Te2- is bonded in a 7-coordinate geometry to four K1+, two equivalent Er3+, and one Cu1+ atom.

36 MATERIALS SCIENCE↗

Materials Data on RbMg6Nb by Materials Project

RbMg6Nb crystallizes in the orthorhombic Amm2 space group. The structure is three-dimensional. Rb is bonded to twelve Mg atoms to form RbMg12 cuboctahedra that share corners with four equivalent RbMg12 cuboctahedra, corners with eight equivalent NbMg12 cuboctahedra, edges with eight equivalent MgRb2Mg8Nb2 cuboctahedra, faces with two equivalent RbMg12 cuboctahedra, faces with four equivalent MgRb2Mg8Nb2 cuboctahedra, and faces with four equivalent NbMg12 cuboctahedra. There are a spread of Rb–Mg bond distances ranging from 3.39–3.55 Å. There are four inequivalent Mg sites. In the first Mg site, Mg is bonded to two equivalent Rb, eight Mg, and two equivalent Nb atoms to form distorted MgRb2Mg8Nb2 cuboctahedra that share corners with twelve equivalent MgRb2Mg8Nb2 cuboctahedra, edges with four equivalent RbMg12 cuboctahedra, edges with four equivalent NbMg12 cuboctahedra, faces with two equivalent RbMg12 cuboctahedra, faces with two equivalent NbMg12 cuboctahedra, and faces with six equivalent MgRb2Mg8Nb2 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.29–3.32 Å. There are one shorter (3.37 Å) and one longer (3.41 Å) Mg–Nb bond lengths. In the second Mg site, Mg is bonded in a 10-coordinate geometry to two equivalent Rb, six Mg, and two equivalent Nb atoms. There are one shorter (2.90 Å) and one longer (2.91 Å) Mg–Mg bond lengths. Both Mg–Nb bond lengths are 3.04 Å. In the third Mg site, Mg is bonded in a 10-coordinate geometry to two equivalent Rb, six Mg, and two equivalent Nb atoms. Both Mg–Nb bond lengths are 3.05 Å. In the fourth Mg site, Mg is bonded in a 10-coordinate geometry to two equivalent Rb, six Mg, and two equivalent Nb atoms. Both Mg–Nb bond lengths are 3.05 Å. Nb is bonded to twelve Mg atoms to form NbMg12 cuboctahedra that share corners with four equivalent NbMg12 cuboctahedra, corners with eight equivalent RbMg12 cuboctahedra, edges with eight equivalent MgRb2Mg8Nb2 cuboctahedra, faces with two equivalent NbMg12 cuboctahedra, faces with four equivalent RbMg12 cuboctahedra, and faces with four equivalent MgRb2Mg8Nb2 cuboctahedra.

36 MATERIALS SCIENCE↗

Materials Data on Ce(TmS2)3 by Materials Project

Ce(TmS2)3 crystallizes in the monoclinic P2_1/m space group. The structure is three-dimensional. there are three inequivalent Tm3+ sites. In the first Tm3+ site, Tm3+ is bonded to seven S2- atoms to form distorted TmS7 pentagonal bipyramids that share corners with three TmS6 octahedra, edges with two equivalent TmS6 octahedra, and edges with four equivalent TmS7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 39–50°. There are a spread of Tm–S bond distances ranging from 2.67–2.90 Å. In the second Tm3+ site, Tm3+ is bonded to six S2- atoms to form TmS6 octahedra that share corners with three equivalent TmS6 octahedra, a cornercorner with one TmS7 pentagonal bipyramid, edges with four equivalent TmS6 octahedra, and edges with two equivalent TmS7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 54–62°. There are a spread of Tm–S bond distances ranging from 2.65–2.75 Å. In the third Tm3+ site, Tm3+ is bonded to six S2- atoms to form TmS6 octahedra that share corners with three equivalent TmS6 octahedra, corners with two equivalent TmS7 pentagonal bipyramids, and edges with four equivalent TmS6 octahedra. The corner-sharing octahedra tilt angles range from 54–62°. There are a spread of Tm–S bond distances ranging from 2.64–2.77 Å. Ce3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Ce–S bond distances ranging from 2.90–3.04 Å. There are six inequivalent S2- sites. In the first S2- site, S2- is bonded in a 4-coordinate geometry to four Tm3+ atoms. In the second S2- site, S2- is bonded to three Tm3+ and one Ce3+ atom to form distorted SCeTm3 trigonal pyramids that share corners with two equivalent SCe2Tm3 square pyramids, corners with four SCe2Tm3 trigonal bipyramids, corners with two equivalent SCeTm3 trigonal pyramids, edges with three equivalent SCe2Tm3 square pyramids, and edges with two equivalent SCe3Tm2 trigonal bipyramids. In the third S2- site, S2- is bonded in a rectangular see-saw-like geometry to four Tm3+ atoms. In the fourth S2- site, S2- is bonded to three equivalent Tm3+ and two equivalent Ce3+ atoms to form distorted SCe2Tm3 square pyramids that share corners with six SCe2Tm3 trigonal bipyramids, corners with two equivalent SCeTm3 trigonal pyramids, edges with four equivalent SCe2Tm3 square pyramids, edges with two SCe2Tm3 trigonal bipyramids, and edges with three equivalent SCeTm3 trigonal pyramids. In the fifth S2- site, S2- is bonded to three Tm3+ and two equivalent Ce3+ atoms to form distorted SCe2Tm3 trigonal bipyramids that share corners with two equivalent SCe2Tm3 square pyramids, corners with two equivalent SCe3Tm2 trigonal bipyramids, corners with three equivalent SCeTm3 trigonal pyramids, an edgeedge with one SCe2Tm3 square pyramid, and edges with five SCe2Tm3 trigonal bipyramids. In the sixth S2- site, S2- is bonded to two equivalent Tm3+ and three equivalent Ce3+ atoms to form distorted SCe3Tm2 trigonal bipyramids that share corners with four equivalent SCe2Tm3 square pyramids, corners with two equivalent SCe2Tm3 trigonal bipyramids, a cornercorner with one SCeTm3 trigonal pyramid, an edgeedge with one SCe2Tm3 square pyramid, edges with seven SCe2Tm3 trigonal bipyramids, and edges with two equivalent SCeTm3 trigonal pyramids.

36 MATERIALS SCIENCE↗

Materials Data on Li9Mn2Co5O16 by Materials Project

Li9Mn2Co5O16 is Caswellsilverite-derived structured and crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are nine inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one CoO6 octahedra, corners with four equivalent LiO6 octahedra, edges with two equivalent MnO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–10°. There are a spread of Li–O bond distances ranging from 2.05–2.29 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 CoO6 octahedra, corners with four equivalent MnO6 octahedra, edges with two equivalent MnO6 octahedra, edges with two equivalent CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–7°. There are a spread of Li–O bond distances ranging from 2.00–2.21 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one MnO6 octahedra, corners with five CoO6 octahedra, edges with six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 4–7°. There are a spread of Li–O bond distances ranging from 2.11–2.23 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one CoO6 octahedra, edges with two equivalent MnO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–12°. There are a spread of Li–O bond distances ranging from 2.11–2.27 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with five CoO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–8°. There are a spread of Li–O bond distances ranging from 2.08–2.17 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one MnO6 octahedra, corners with five CoO6 octahedra, edges with six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 3–7°. There are a spread of Li–O bond distances ranging from 2.13–2.23 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with five CoO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–8°. There are a spread of Li–O bond distances ranging from 2.06–2.14 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one CoO6 octahedra, corners with four equivalent MnO6 octahedra, edges with two equivalent MnO6 octahedra, edges with two equivalent CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–11°. There are a spread of Li–O bond distances ranging from 2.02–2.29 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, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–10°. There are a spread of Li–O bond distances ranging from 2.04–2.13 Å. There are two inequivalent Mn+4.50+ sites. In the first Mn+4.50+ site, Mn+4.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with two equivalent CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–11°. There are a spread of Mn–O bond distances ranging from 1.82–2.07 Å. In the second Mn+4.50+ site, Mn+4.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with two equivalent CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–7°. There are a spread of Mn–O bond distances ranging from 1.91–2.00 Å. There are five inequivalent Co+2.80+ sites. In the first Co+2.80+ site, Co+2.80+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Co–O bond distances ranging from 1.78–2.36 Å. In the second Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–12°. There are a spread of Co–O bond distances ranging from 2.00–2.09 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 3–8°. There are a spread of Co–O bond distances ranging from 1.98–2.08 Å. In the fourth Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 3–7°. There are a spread of Co–O bond distances ranging from 1.95–2.14 Å. In the fifth Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–7°. There are a spread of Co–O bond distances ranging from 1.99–2.09 Å. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded to three Li1+, two equivalent Mn+4.50+, and one Co+2.80+ atom to form OLi3Mn2Co octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 1–10°. In the second O2- site, O2- is bonded to four Li1+ and two equivalent Co+2.80+ atoms to form OLi4Co2 octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi4Co2 octahedra. The corner-sharing octahedra tilt angles range from 0–20°. In the third O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two equivalent Co+2.80+ atoms to form a mixture of corner and edge-sharing OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the fourth O2- site, O2- is bonded to five Li1+ and one Mn+4.50+ atom to form a mixture of corner and edge-sharing OLi5Mn octahedra. The corner-sharing octahedra tilt angles range from 2–7°. In the fifth 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 OLi3Mn2Co 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 OLi3Mn2Co octahedra and edges with twelve OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the seventh O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form a mixture of corner and edge-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–2°. In the eighth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form OLi3Co3 octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 1–5°. In the ninth 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 OLi3Mn2Co octahedra and edges with twelve OLi4Co2 octahedra. The corner-sharing octahedra tilt angles range from 0–20°. 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 OLi4Co2 octahedra and edges with twelve OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 1–4°. In the eleventh O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form OLi3Co3 octahedra that share corners with six OLi3Mn2Co octahedra and edges with twelve OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. In the twelfth O2- site, O2- is bonded to three Li1+, two equivalent Mn+4.50+, and one Co+2.80+ atom to form OLi3Mn2Co octahedra that share corners with six OLi5Mn octahedra and edges with twelve OLi4Co2 octahedra. The corner-sharing octahedra tilt angles range from 2–7°. In the thirteenth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form OLi3Co3 octahedra that share corners with six OLi3Mn2Co octahedra and edges with twelve OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. 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 OLi5Mn octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 1–4°. In the fifteenth O2- site, O2- is bonded to four Li1+ and two equivalent Mn+4.50+ atoms to form a mixture of corner and edge-sharing OLi4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 0–10°. In the sixteenth O2- site, O2- is bonded to five Li1+ and one Co+2.80+ atom to form OLi5Co octahedra that share corners with six OLi5Mn octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 2–9°.

36 MATERIALS SCIENCE↗

Materials Data on BaSr3Pd2(OF)4 by Materials Project

BaSr3Pd2(OF)4 crystallizes in the tetragonal P4mm space group. The structure is three-dimensional. Ba2+ is bonded in a body-centered cubic geometry to four equivalent O2- and four equivalent F1- atoms. All Ba–O bond lengths are 2.90 Å. All Ba–F bond lengths are 2.66 Å. There are three inequivalent Sr2+ sites. In the first Sr2+ site, Sr2+ is bonded in a body-centered cubic geometry to four equivalent O2- and four equivalent F1- atoms. All Sr–O bond lengths are 2.72 Å. All Sr–F bond lengths are 2.51 Å. In the second Sr2+ site, Sr2+ is bonded in a body-centered cubic geometry to four equivalent O2- and four equivalent F1- atoms. All Sr–O bond lengths are 2.73 Å. All Sr–F bond lengths are 2.52 Å. In the third Sr2+ site, Sr2+ is bonded in a body-centered cubic geometry to four equivalent O2- and four equivalent F1- atoms. All Sr–O bond lengths are 2.65 Å. All Sr–F bond lengths are 2.55 Å. There are two inequivalent Pd2+ sites. In the first Pd2+ site, Pd2+ is bonded in a square co-planar geometry to four equivalent O2- atoms. All Pd–O bond lengths are 2.08 Å. In the second Pd2+ site, Pd2+ is bonded in a rectangular see-saw-like geometry to four equivalent O2- atoms. All Pd–O bond lengths are 2.07 Å. There are two inequivalent O2- sites. In the first O2- site, O2- is bonded to two equivalent Ba2+, two equivalent Sr2+, and two equivalent Pd2+ atoms to form distorted OBa2Sr2Pd2 octahedra that share corners with two equivalent OBa2Sr2Pd2 octahedra, corners with twelve FBa2Sr2 tetrahedra, edges with two equivalent OBa2Sr2Pd2 octahedra, edges with two FBa2Sr2 tetrahedra, and faces with four equivalent OBa2Sr2Pd2 octahedra. The corner-sharing octahedral tilt angles are 15°. In the second O2- site, O2- is bonded to four Sr2+ and two equivalent Pd2+ atoms to form distorted OSr4Pd2 octahedra that share corners with two equivalent OSr4Pd2 octahedra, corners with twelve FBa2Sr2 tetrahedra, edges with two equivalent OSr4Pd2 octahedra, edges with two FBa2Sr2 tetrahedra, and faces with four equivalent OSr4Pd2 octahedra. The corner-sharing octahedral tilt angles are 3°. There are two inequivalent F1- sites. In the first F1- site, F1- is bonded to two equivalent Ba2+ and two equivalent Sr2+ atoms to form FBa2Sr2 tetrahedra that share corners with twelve OBa2Sr2Pd2 octahedra, corners with four equivalent FBa2Sr2 tetrahedra, edges with two OBa2Sr2Pd2 octahedra, and edges with four equivalent FBa2Sr2 tetrahedra. The corner-sharing octahedra tilt angles range from 6–68°. In the second F1- site, F1- is bonded to four Sr2+ atoms to form FSr4 tetrahedra that share corners with twelve OBa2Sr2Pd2 octahedra, corners with four equivalent FSr4 tetrahedra, edges with two OBa2Sr2Pd2 octahedra, and edges with four equivalent FSr4 tetrahedra. The corner-sharing octahedra tilt angles range from 3–68°.

36 MATERIALS SCIENCE↗

Materials Data on Li4MnCo2O7 by Materials Project

Li4MnCo2O7 is Caswellsilverite-derived structured and crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are eight inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with 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 6–11°. There are a spread of Li–O bond distances ranging from 2.02–2.20 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six MnO6 octahedra, edges with two MnO6 octahedra, edges with four equivalent CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–7°. There are a spread of Li–O bond distances ranging from 2.08–2.20 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six CoO6 octahedra, edges with two CoO6 octahedra, edges with four equivalent MnO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–6°. There are a spread of Li–O bond distances ranging from 2.11–2.21 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three equivalent MnO6 octahedra, corners with three equivalent CoO6 octahedra, an edgeedge with one MnO6 octahedra, edges with five CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–8°. There are a spread of Li–O bond distances ranging from 2.02–2.31 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six CoO6 octahedra, edges with six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 8–17°. There are a spread of Li–O bond distances ranging from 2.12–2.14 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three equivalent MnO6 octahedra, corners with three equivalent CoO6 octahedra, an edgeedge with one MnO6 octahedra, an edgeedge with one CoO6 octahedra, and edges with ten LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–9°. There are a spread of Li–O bond distances ranging from 2.10–2.30 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with three equivalent LiO6 octahedra, corners with three equivalent CoO6 octahedra, edges with five CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–12°. There are a spread of Li–O bond distances ranging from 1.97–2.40 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with two equivalent CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 9–12°. There are a spread of Li–O bond distances ranging from 2.05–2.15 Å. There are two inequivalent Mn2+ sites. In the first Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with two equivalent CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–8°. There are a spread of Mn–O bond distances ranging from 1.83–2.10 Å. In the second Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–6°. There are a spread of Mn–O bond distances ranging from 1.98–2.21 Å. There are four inequivalent Co4+ sites. In the first Co4+ site, Co4+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent CoO6 octahedra, edges with four MnO6 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 2.01–2.11 Å. In the second Co4+ site, Co4+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–10°. There are a spread of Co–O bond distances ranging from 2.01–2.10 Å. In the third Co4+ site, Co4+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 2–10°. There are a spread of Co–O bond distances ranging from 1.87–1.96 Å. In the fourth Co4+ site, Co4+ is bonded to six O2- atoms to form distorted CoO6 octahedra that share corners with six LiO6 octahedra, edges with four CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–17°. There are a spread of Co–O bond distances ranging from 1.78–2.26 Å. There are fourteen inequivalent O2- sites. In the first O2- site, O2- is bonded to four Li1+ and two equivalent Mn2+ atoms to form OLi4Mn2 octahedra that share corners with six OLi4Co2 octahedra and edges with twelve OLi5Co octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the second O2- site, O2- is bonded to three Li1+, one Mn2+, and two equivalent Co4+ atoms to form OLi3MnCo2 octahedra that share corners with six OLi5Mn octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 1–6°. In the third O2- site, O2- is bonded to three Li1+, two equivalent Mn2+, and one Co4+ atom to form a mixture of edge and corner-sharing OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 0–2°. In the fourth O2- site, O2- is bonded to three Li1+, one Mn2+, and two equivalent Co4+ atoms to form OLi3MnCo2 octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the fifth O2- site, O2- is bonded to three Li1+ and three Co4+ atoms to form OLi3Co3 octahedra that share corners with six OLi3Mn2Co octahedra and edges with twelve OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–4°. In the sixth O2- site, O2- is bonded to five Li1+ and one Co4+ atom to form OLi5Co octahedra that share corners with six OLi5Mn octahedra and edges with twelve OLi5Co octahedra. The corner-sharing octahedra tilt angles range from 0–12°. In the seventh O2- site, O2- is bonded to three Li1+ and three Co4+ atoms to form distorted OLi3Co3 octahedra that share corners with six OLi4Co2 octahedra and edges with twelve OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–17°. In the eighth O2- site, O2- is bonded to three Li1+, two equivalent Mn2+, and one Co4+ atom to form OLi3Mn2Co octahedra that share corners with six OLi4Mn2 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the ninth O2- site, O2- is bonded to three Li1+, one Mn2+, and two equivalent Co4+ atoms to form OLi3MnCo2 octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 0–2°. In the tenth O2- site, O2- is bonded to three Li1+, two equivalent Mn2+, and one Co4+ atom to form a mixture of edge and corner-sharing OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the eleventh O2- site, O2- is bonded to three Li1+ and three Co4+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–4°. In the twelfth O2- site, O2- is bonded to three Li1+ and three Co4+ atoms to form a mixture of distorted edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–12°. In the thirteenth O2- site, O2- is bonded to five Li1+ and one Mn2+ atom to form a mixture of edge and corner-sharing OLi5Mn octahedra. The corner-sharing octahedra tilt angles range from 0–6°. In the fourteenth O2- site, O2- is bonded to four Li1+ and two equivalent Co4+ atoms to form OLi4Co2 octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi5Co octahedra. The corner-sharing octahedra tilt angles range from 0–17°.

36 MATERIALS SCIENCE↗

Materials Data on BaLa4TiCr4O15 by Materials Project

BaLa4TiCr4O15 is (Cubic) Perovskite-derived structured and crystallizes in the orthorhombic Cmmm space group. The structure is three-dimensional. Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with two equivalent BaO12 cuboctahedra, corners with ten LaO12 cuboctahedra, faces with two equivalent BaO12 cuboctahedra, faces with four equivalent LaO12 cuboctahedra, faces with four equivalent TiO6 octahedra, and faces with four equivalent CrO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.80–2.90 Å. There are three 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 BaO12 cuboctahedra, corners with eight LaO12 cuboctahedra, faces with two equivalent BaO12 cuboctahedra, faces with four LaO12 cuboctahedra, faces with two equivalent TiO6 octahedra, and faces with six CrO6 octahedra. There are a spread of La–O bond distances ranging from 2.67–2.86 Å. In the second La3+ site, La3+ is bonded to twelve O2- atoms to form LaO12 cuboctahedra that share a cornercorner with one BaO12 cuboctahedra, corners with eleven LaO12 cuboctahedra, faces with six LaO12 cuboctahedra, and faces with eight CrO6 octahedra. There are a spread of La–O bond distances ranging from 2.63–2.82 Å. In the third La3+ site, La3+ is bonded to twelve O2- atoms to form LaO12 cuboctahedra that share corners with four equivalent BaO12 cuboctahedra, corners with eight LaO12 cuboctahedra, faces with two equivalent BaO12 cuboctahedra, faces with four LaO12 cuboctahedra, faces with two equivalent TiO6 octahedra, and faces with six CrO6 octahedra. There are a spread of La–O bond distances ranging from 2.67–2.86 Å. Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two equivalent TiO6 octahedra, corners with four equivalent CrO6 octahedra, faces with four equivalent BaO12 cuboctahedra, and faces with four equivalent LaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–6°. There is four shorter (1.95 Å) and two longer (1.97 Å) Ti–O bond length. There are two inequivalent Cr3+ sites. In the first Cr3+ site, Cr3+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with two equivalent TiO6 octahedra, corners with four CrO6 octahedra, faces with two equivalent BaO12 cuboctahedra, and faces with six LaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–7°. There is four shorter (1.98 Å) and two longer (2.00 Å) Cr–O bond length. In the second Cr3+ site, Cr3+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six CrO6 octahedra and faces with eight LaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–2°. There is four shorter (1.97 Å) and two longer (1.98 Å) Cr–O bond length. There are six inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted linear geometry to two equivalent Ba2+, two equivalent La3+, and two equivalent Ti4+ atoms. In the second O2- site, O2- is bonded in a distorted linear geometry to two equivalent Ba2+, two equivalent La3+, one Ti4+, and one Cr3+ atom. In the third O2- site, O2- is bonded in a distorted linear geometry to four equivalent La3+ and two equivalent Cr3+ atoms. In the fourth O2- site, O2- is bonded in a distorted linear geometry to four La3+ and two Cr3+ atoms. In the fifth O2- site, O2- is bonded in a 2-coordinate geometry to one Ba2+, three La3+, and two equivalent Cr3+ atoms. In the sixth O2- site, O2- is bonded in a distorted linear geometry to four La3+ and two equivalent Cr3+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on TiZnGa2 by Materials Project

TiZnGa2 crystallizes in the tetragonal P4/mmm space group. The structure is three-dimensional. Ti is bonded to four equivalent Zn and eight equivalent Ga atoms to form TiZn4Ga8 cuboctahedra that share corners with twelve equivalent TiZn4Ga8 cuboctahedra, edges with eight equivalent ZnTi4Ga8 cuboctahedra, edges with sixteen equivalent GaTi4Zn4Ga4 cuboctahedra, faces with four equivalent ZnTi4Ga8 cuboctahedra, faces with six equivalent TiZn4Ga8 cuboctahedra, and faces with eight equivalent GaTi4Zn4Ga4 cuboctahedra. All Ti–Zn bond lengths are 2.81 Å. All Ti–Ga bond lengths are 2.78 Å. Zn is bonded to four equivalent Ti and eight equivalent Ga atoms to form ZnTi4Ga8 cuboctahedra that share corners with twelve equivalent ZnTi4Ga8 cuboctahedra, edges with eight equivalent TiZn4Ga8 cuboctahedra, edges with sixteen equivalent GaTi4Zn4Ga4 cuboctahedra, faces with four equivalent TiZn4Ga8 cuboctahedra, faces with six equivalent ZnTi4Ga8 cuboctahedra, and faces with eight equivalent GaTi4Zn4Ga4 cuboctahedra. All Zn–Ga bond lengths are 2.78 Å. Ga is bonded to four equivalent Ti, four equivalent Zn, and four equivalent Ga atoms to form GaTi4Zn4Ga4 cuboctahedra that share corners with twelve equivalent GaTi4Zn4Ga4 cuboctahedra, edges with eight equivalent TiZn4Ga8 cuboctahedra, edges with eight equivalent ZnTi4Ga8 cuboctahedra, edges with eight equivalent GaTi4Zn4Ga4 cuboctahedra, faces with four equivalent TiZn4Ga8 cuboctahedra, faces with four equivalent ZnTi4Ga8 cuboctahedra, and faces with ten equivalent GaTi4Zn4Ga4 cuboctahedra. All Ga–Ga bond lengths are 2.81 Å.

36 MATERIALS SCIENCE↗

Materials Data on Pr(TmS2)3 by Materials Project

Pr(TmS2)3 crystallizes in the monoclinic P2_1/m space group. The structure is three-dimensional. there are three inequivalent Tm3+ sites. In the first Tm3+ site, Tm3+ is bonded to seven S2- atoms to form distorted TmS7 pentagonal bipyramids that share corners with three TmS6 octahedra, edges with two equivalent TmS6 octahedra, and edges with four equivalent TmS7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 39–51°. There are a spread of Tm–S bond distances ranging from 2.67–2.90 Å. In the second Tm3+ site, Tm3+ is bonded to six S2- atoms to form TmS6 octahedra that share corners with three equivalent TmS6 octahedra, a cornercorner with one TmS7 pentagonal bipyramid, edges with four equivalent TmS6 octahedra, and edges with two equivalent TmS7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 55–61°. There are a spread of Tm–S bond distances ranging from 2.65–2.76 Å. In the third Tm3+ site, Tm3+ is bonded to six S2- atoms to form TmS6 octahedra that share corners with three equivalent TmS6 octahedra, corners with two equivalent TmS7 pentagonal bipyramids, and edges with four equivalent TmS6 octahedra. The corner-sharing octahedra tilt angles range from 55–61°. There are a spread of Tm–S bond distances ranging from 2.64–2.77 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 Tm3+ atoms. In the second S2- site, S2- is bonded to three Tm3+ and one Pr3+ atom to form distorted SPrTm3 trigonal pyramids that share corners with two equivalent SPr2Tm3 square pyramids, corners with four SPr2Tm3 trigonal bipyramids, corners with two equivalent SPrTm3 trigonal pyramids, edges with three equivalent SPr2Tm3 square pyramids, and edges with two equivalent SPr3Tm2 trigonal bipyramids. In the third S2- site, S2- is bonded in a rectangular see-saw-like geometry to four Tm3+ atoms. In the fourth S2- site, S2- is bonded to three equivalent Tm3+ and two equivalent Pr3+ atoms to form distorted SPr2Tm3 square pyramids that share corners with six SPr2Tm3 trigonal bipyramids, corners with two equivalent SPrTm3 trigonal pyramids, edges with four equivalent SPr2Tm3 square pyramids, edges with two SPr2Tm3 trigonal bipyramids, and edges with three equivalent SPrTm3 trigonal pyramids. In the fifth S2- site, S2- is bonded to three Tm3+ and two equivalent Pr3+ atoms to form distorted SPr2Tm3 trigonal bipyramids that share corners with two equivalent SPr2Tm3 square pyramids, corners with two equivalent SPr3Tm2 trigonal bipyramids, corners with three equivalent SPrTm3 trigonal pyramids, an edgeedge with one SPr2Tm3 square pyramid, and edges with five SPr2Tm3 trigonal bipyramids. In the sixth S2- site, S2- is bonded to two equivalent Tm3+ and three equivalent Pr3+ atoms to form distorted SPr3Tm2 trigonal bipyramids that share corners with four equivalent SPr2Tm3 square pyramids, corners with two equivalent SPr2Tm3 trigonal bipyramids, a cornercorner with one SPrTm3 trigonal pyramid, an edgeedge with one SPr2Tm3 square pyramid, edges with seven SPr2Tm3 trigonal bipyramids, and edges with two equivalent SPrTm3 trigonal pyramids.

36 MATERIALS SCIENCE↗

Materials Data on ErIn2Sn by Materials Project

ErIn2Sn is beta Cu3Ti-derived structured and crystallizes in the tetragonal P4/mmm space group. The structure is three-dimensional. Er is bonded to eight equivalent In and four equivalent Sn atoms to form ErIn8Sn4 cuboctahedra that share corners with twelve equivalent ErIn8Sn4 cuboctahedra, edges with eight equivalent SnEr4In8 cuboctahedra, edges with sixteen equivalent InEr4In4Sn4 cuboctahedra, faces with four equivalent SnEr4In8 cuboctahedra, faces with six equivalent ErIn8Sn4 cuboctahedra, and faces with eight equivalent InEr4In4Sn4 cuboctahedra. All Er–In bond lengths are 3.30 Å. All Er–Sn bond lengths are 3.25 Å. In is bonded to four equivalent Er, four equivalent In, and four equivalent Sn atoms to form InEr4In4Sn4 cuboctahedra that share corners with twelve equivalent InEr4In4Sn4 cuboctahedra, edges with eight equivalent ErIn8Sn4 cuboctahedra, edges with eight equivalent InEr4In4Sn4 cuboctahedra, edges with eight equivalent SnEr4In8 cuboctahedra, faces with four equivalent ErIn8Sn4 cuboctahedra, faces with four equivalent SnEr4In8 cuboctahedra, and faces with ten equivalent InEr4In4Sn4 cuboctahedra. All In–In bond lengths are 3.25 Å. All In–Sn bond lengths are 3.30 Å. Sn is bonded to four equivalent Er and eight equivalent In atoms to form SnEr4In8 cuboctahedra that share corners with twelve equivalent SnEr4In8 cuboctahedra, edges with eight equivalent ErIn8Sn4 cuboctahedra, edges with sixteen equivalent InEr4In4Sn4 cuboctahedra, faces with four equivalent ErIn8Sn4 cuboctahedra, faces with six equivalent SnEr4In8 cuboctahedra, and faces with eight equivalent InEr4In4Sn4 cuboctahedra.

36 MATERIALS SCIENCE↗

Materials Data on Li4MnCo2O7 by Materials Project

Li4MnCo2O7 is Caswellsilverite-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one 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 eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–12°. There are a spread of Li–O bond distances ranging from 2.04–2.35 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one MnO6 octahedra, corners with 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 2.03–2.32 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 3–7°. There are a spread of Li–O bond distances ranging from 2.09–2.24 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one MnO6 octahedra, corners with four CoO6 octahedra, edges with two equivalent MnO6 octahedra, edges with two CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–12°. There are a spread of Li–O bond distances ranging from 2.08–2.26 Å. In the fifth 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 5–10°. There are a spread of Li–O bond distances ranging from 2.07–2.33 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one MnO6 octahedra, corners with five CoO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–9°. There are a spread of Li–O bond distances ranging from 2.06–2.27 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 two equivalent LiO6 octahedra, corners with three CoO6 octahedra, edges with two equivalent MnO6 octahedra, edges with three CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–10°. There are a spread of Li–O bond distances ranging from 2.03–2.24 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with two equivalent CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 9–12°. There are a spread of Li–O bond distances ranging from 2.02–2.30 Å. There are two inequivalent Mn2+ sites. In the first Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–9°. There are a spread of Mn–O bond distances ranging from 1.93–2.23 Å. In the second Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with two equivalent CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–11°. There are a spread of Mn–O bond distances ranging from 1.83–2.03 Å. There are four inequivalent Co4+ sites. In the first Co4+ site, Co4+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–11°. There are a spread of Co–O bond distances ranging from 1.90–2.11 Å. In the second Co4+ site, Co4+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–9°. There are a spread of Co–O bond distances ranging from 1.92–2.20 Å. In the third Co4+ site, Co4+ is bonded to six O2- atoms to form distorted CoO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with two equivalent CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–12°. There are a spread of Co–O bond distances ranging from 1.74–2.26 Å. In the fourth Co4+ site, Co4+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 4–7°. There are a spread of Co–O bond distances ranging from 1.95–2.10 Å. There are fourteen inequivalent O2- sites. In the first O2- site, O2- is bonded to three Li1+, two equivalent Mn2+, and one Co4+ atom to form OLi3Mn2Co octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 0–8°. In the second O2- site, O2- is bonded to five Li1+ and one Mn2+ atom to form OLi5Mn octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi5Mn octahedra. The corner-sharing octahedra tilt angles range from 2–9°. In the third O2- site, O2- is bonded to three Li1+ and three Co4+ atoms to form OLi3Co3 octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–5°. In the fourth O2- site, O2- is bonded to four Li1+ and two equivalent Co4+ 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 4–10°. In the fifth O2- site, O2- is bonded to three Li1+, two equivalent Mn2+, and one Co4+ atom to form OLi3Mn2Co octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi5Mn octahedra. The corner-sharing octahedra tilt angles range from 1–6°. In the sixth O2- site, O2- is bonded to three Li1+ and three Co4+ atoms to form a mixture of corner and edge-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 2–5°. In the seventh O2- site, O2- is bonded to three Li1+, one Mn2+, and two equivalent Co4+ 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 1–4°. In the eighth O2- site, O2- is bonded to four Li1+ and two equivalent Mn2+ atoms to form OLi4Mn2 octahedra that share corners with six OLi4Co2 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 4–8°. In the ninth O2- site, O2- is bonded to three Li1+ and three Co4+ atoms to form OLi3Co3 octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi5Mn octahedra. The corner-sharing octahedra tilt angles range from 1–9°. In the tenth O2- site, O2- is bonded to three Li1+, two equivalent Mn2+, and one Co4+ atom to form OLi3Mn2Co octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 1–3°. In the eleventh O2- site, O2- is bonded to three Li1+, one Mn2+, and two equivalent Co4+ atoms to form OLi3MnCo2 octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi5Mn octahedra. The corner-sharing octahedra tilt angles range from 4–8°. In the twelfth O2- site, O2- is bonded to three Li1+ and three Co4+ atoms to form a mixture of corner and edge-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–6°. In the thirteenth O2- site, O2- is bonded to three Li1+, one Mn2+, and two equivalent Co4+ atoms to form OLi3MnCo2 octahedra that share corners with six OLi4Co2 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 0–10°. In the fourteenth O2- site, O2- is bonded to five Li1+ and one Co4+ atom to form OLi5Co octahedra that share corners with six OLi4Co2 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 2–7°.

36 MATERIALS SCIENCE↗

Materials Data on GaFeNi2 by Materials Project

Ni2FeGa is alpha La-derived structured and crystallizes in the tetragonal P4/mmm space group. The structure is three-dimensional. Fe is bonded to eight equivalent Ni and four equivalent Ga atoms to form FeGa4Ni8 cuboctahedra that share corners with twelve equivalent FeGa4Ni8 cuboctahedra, edges with eight equivalent GaFe4Ni8 cuboctahedra, edges with sixteen equivalent NiGa4Fe4Ni4 cuboctahedra, faces with four equivalent GaFe4Ni8 cuboctahedra, faces with six equivalent FeGa4Ni8 cuboctahedra, and faces with eight equivalent NiGa4Fe4Ni4 cuboctahedra. All Fe–Ni bond lengths are 2.56 Å. All Fe–Ga bond lengths are 2.57 Å. Ni is bonded to four equivalent Fe, four equivalent Ni, and four equivalent Ga atoms to form NiGa4Fe4Ni4 cuboctahedra that share corners with twelve equivalent NiGa4Fe4Ni4 cuboctahedra, edges with eight equivalent FeGa4Ni8 cuboctahedra, edges with eight equivalent NiGa4Fe4Ni4 cuboctahedra, edges with eight equivalent GaFe4Ni8 cuboctahedra, faces with four equivalent FeGa4Ni8 cuboctahedra, faces with four equivalent GaFe4Ni8 cuboctahedra, and faces with ten equivalent NiGa4Fe4Ni4 cuboctahedra. All Ni–Ni bond lengths are 2.57 Å. All Ni–Ga bond lengths are 2.56 Å. Ga is bonded to four equivalent Fe and eight equivalent Ni atoms to form GaFe4Ni8 cuboctahedra that share corners with twelve equivalent GaFe4Ni8 cuboctahedra, edges with eight equivalent FeGa4Ni8 cuboctahedra, edges with sixteen equivalent NiGa4Fe4Ni4 cuboctahedra, faces with four equivalent FeGa4Ni8 cuboctahedra, faces with six equivalent GaFe4Ni8 cuboctahedra, and faces with eight equivalent NiGa4Fe4Ni4 cuboctahedra.

36 MATERIALS SCIENCE↗

Materials Data on SrMg6Ti by Materials Project

SrMg6Ti crystallizes in the orthorhombic Amm2 space group. The structure is three-dimensional. Sr is bonded to twelve Mg atoms to form SrMg12 cuboctahedra that share corners with four equivalent SrMg12 cuboctahedra, corners with eight equivalent TiMg12 cuboctahedra, edges with eight equivalent MgSr2Mg8Ti2 cuboctahedra, faces with two equivalent SrMg12 cuboctahedra, faces with four equivalent MgSr2Mg8Ti2 cuboctahedra, and faces with four equivalent TiMg12 cuboctahedra. There are a spread of Sr–Mg bond distances ranging from 3.31–3.45 Å. There are four inequivalent Mg sites. In the first Mg site, Mg is bonded to two equivalent Sr, eight Mg, and two equivalent Ti atoms to form distorted MgSr2Mg8Ti2 cuboctahedra that share corners with twelve equivalent MgSr2Mg8Ti2 cuboctahedra, edges with four equivalent SrMg12 cuboctahedra, edges with four equivalent TiMg12 cuboctahedra, faces with two equivalent SrMg12 cuboctahedra, faces with two equivalent TiMg12 cuboctahedra, and faces with six equivalent MgSr2Mg8Ti2 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.25–3.31 Å. There are one shorter (3.30 Å) and one longer (3.32 Å) Mg–Ti bond lengths. In the second Mg site, Mg is bonded in a 10-coordinate geometry to two equivalent Sr, six Mg, and two equivalent Ti atoms. Both Mg–Mg bond lengths are 2.99 Å. Both Mg–Ti bond lengths are 3.08 Å. In the third Mg site, Mg is bonded in a 10-coordinate geometry to two equivalent Sr, six Mg, and two equivalent Ti atoms. Both Mg–Ti bond lengths are 3.15 Å. In the fourth Mg site, Mg is bonded in a 10-coordinate geometry to two equivalent Sr, six Mg, and two equivalent Ti atoms. Both Mg–Ti bond lengths are 3.16 Å. Ti is bonded to twelve Mg atoms to form TiMg12 cuboctahedra that share corners with four equivalent TiMg12 cuboctahedra, corners with eight equivalent SrMg12 cuboctahedra, edges with eight equivalent MgSr2Mg8Ti2 cuboctahedra, faces with two equivalent TiMg12 cuboctahedra, faces with four equivalent SrMg12 cuboctahedra, and faces with four equivalent MgSr2Mg8Ti2 cuboctahedra.

36 MATERIALS SCIENCE↗

Materials Data on GdAgSn2 by Materials Project

GdAgSn2 is Uranium Silicide-derived structured and crystallizes in the tetragonal P4/mmm space group. The structure is three-dimensional. Gd is bonded to four equivalent Ag and eight equivalent Sn atoms to form GdAg4Sn8 cuboctahedra that share corners with twelve equivalent GdAg4Sn8 cuboctahedra, edges with eight equivalent AgGd4Sn8 cuboctahedra, edges with sixteen equivalent SnGd4Ag4Sn4 cuboctahedra, faces with four equivalent AgGd4Sn8 cuboctahedra, faces with six equivalent GdAg4Sn8 cuboctahedra, and faces with eight equivalent SnGd4Ag4Sn4 cuboctahedra. All Gd–Ag bond lengths are 3.32 Å. All Gd–Sn bond lengths are 3.22 Å. Ag is bonded to four equivalent Gd and eight equivalent Sn atoms to form AgGd4Sn8 cuboctahedra that share corners with twelve equivalent AgGd4Sn8 cuboctahedra, edges with eight equivalent GdAg4Sn8 cuboctahedra, edges with sixteen equivalent SnGd4Ag4Sn4 cuboctahedra, faces with four equivalent GdAg4Sn8 cuboctahedra, faces with six equivalent AgGd4Sn8 cuboctahedra, and faces with eight equivalent SnGd4Ag4Sn4 cuboctahedra. All Ag–Sn bond lengths are 3.22 Å. Sn is bonded to four equivalent Gd, four equivalent Ag, and four equivalent Sn atoms to form distorted SnGd4Ag4Sn4 cuboctahedra that share corners with twelve equivalent SnGd4Ag4Sn4 cuboctahedra, edges with eight equivalent GdAg4Sn8 cuboctahedra, edges with eight equivalent AgGd4Sn8 cuboctahedra, edges with eight equivalent SnGd4Ag4Sn4 cuboctahedra, faces with four equivalent GdAg4Sn8 cuboctahedra, faces with four equivalent AgGd4Sn8 cuboctahedra, and faces with ten equivalent SnGd4Ag4Sn4 cuboctahedra. All Sn–Sn bond lengths are 3.32 Å.

36 MATERIALS SCIENCE↗

Materials Data on Mg14CuSi by Materials Project

Mg14CuSi crystallizes in the hexagonal P-6m2 space group. The structure is three-dimensional. there are seven inequivalent Mg sites. In the first Mg site, Mg is bonded to ten Mg and two equivalent Cu atoms to form distorted MgMg10Cu2 cuboctahedra that share corners with four equivalent SiMg12 cuboctahedra, corners with fourteen MgMg10Cu2 cuboctahedra, edges with two equivalent CuMg12 cuboctahedra, edges with sixteen MgMg10Cu2 cuboctahedra, faces with two equivalent CuMg12 cuboctahedra, and faces with eighteen MgMg10Cu2 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.08–3.10 Å. Both Mg–Cu bond lengths are 3.09 Å. In the second Mg site, Mg is bonded to ten Mg and two equivalent Si atoms to form distorted MgMg10Si2 cuboctahedra that share corners with four equivalent CuMg12 cuboctahedra, corners with fourteen MgMg10Cu2 cuboctahedra, edges with two equivalent SiMg12 cuboctahedra, edges with sixteen MgMg10Si2 cuboctahedra, faces with two equivalent SiMg12 cuboctahedra, and faces with eighteen MgMg10Cu2 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.08–3.14 Å. Both Mg–Si bond lengths are 3.09 Å. In the third Mg site, Mg is bonded to ten Mg and two equivalent Cu atoms to form distorted MgMg10Cu2 cuboctahedra that share corners with four equivalent SiMg12 cuboctahedra, corners with fourteen MgMg10Si2 cuboctahedra, edges with two equivalent CuMg12 cuboctahedra, edges with sixteen MgMg10Cu2 cuboctahedra, faces with two equivalent CuMg12 cuboctahedra, and faces with eighteen MgMg10Cu2 cuboctahedra. There are two shorter (3.09 Å) and four longer (3.10 Å) Mg–Mg bond lengths. Both Mg–Cu bond lengths are 3.09 Å. In the fourth Mg site, Mg is bonded to ten Mg and two equivalent Si atoms to form distorted MgMg10Si2 cuboctahedra that share corners with four equivalent CuMg12 cuboctahedra, corners with fourteen MgMg10Cu2 cuboctahedra, edges with two equivalent SiMg12 cuboctahedra, edges with sixteen MgMg10Si2 cuboctahedra, faces with two equivalent SiMg12 cuboctahedra, and faces with eighteen MgMg10Si2 cuboctahedra. There are two shorter (3.12 Å) and four longer (3.14 Å) Mg–Mg bond lengths. Both Mg–Si bond lengths are 3.09 Å. In the fifth Mg site, Mg is bonded to ten Mg, one Cu, and one Si atom to form distorted MgMg10CuSi cuboctahedra that share corners with eighteen MgMg10CuSi cuboctahedra, edges with two equivalent CuMg12 cuboctahedra, edges with two equivalent SiMg12 cuboctahedra, edges with fourteen MgMg10Cu2 cuboctahedra, a faceface with one CuMg12 cuboctahedra, a faceface with one SiMg12 cuboctahedra, and faces with eighteen MgMg10Cu2 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.01–3.17 Å. The Mg–Cu bond length is 3.06 Å. The Mg–Si bond length is 3.10 Å. In the sixth Mg site, Mg is bonded to ten Mg, one Cu, and one Si atom to form distorted MgMg10CuSi cuboctahedra that share corners with eighteen MgMg10CuSi cuboctahedra, edges with two equivalent CuMg12 cuboctahedra, edges with two equivalent SiMg12 cuboctahedra, edges with fourteen MgMg10Cu2 cuboctahedra, a faceface with one CuMg12 cuboctahedra, a faceface with one SiMg12 cuboctahedra, and faces with eighteen MgMg10Cu2 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.09–3.14 Å. The Mg–Cu bond length is 3.06 Å. The Mg–Si bond length is 3.10 Å. In the seventh Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share corners with eighteen MgMg10CuSi cuboctahedra, edges with eighteen MgMg10Cu2 cuboctahedra, faces with three equivalent CuMg12 cuboctahedra, faces with three equivalent SiMg12 cuboctahedra, and faces with fourteen MgMg10Cu2 cuboctahedra. Cu is bonded to twelve Mg atoms to form CuMg12 cuboctahedra that share corners with six equivalent CuMg12 cuboctahedra, corners with twelve MgMg10Si2 cuboctahedra, edges with eighteen MgMg10Cu2 cuboctahedra, faces with two equivalent SiMg12 cuboctahedra, and faces with eighteen MgMg10Cu2 cuboctahedra. Si is bonded to twelve Mg atoms to form SiMg12 cuboctahedra that share corners with six equivalent SiMg12 cuboctahedra, corners with twelve MgMg10Cu2 cuboctahedra, edges with eighteen MgMg10Si2 cuboctahedra, faces with two equivalent CuMg12 cuboctahedra, and faces with eighteen MgMg10Si2 cuboctahedra.

36 MATERIALS SCIENCE↗