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Materials Data on URu2Rh by Materials Project

URu2Rh is Uranium Silicide-derived structured and crystallizes in the tetragonal P4/mmm space group. The structure is three-dimensional. U is bonded to eight equivalent Ru and four equivalent Rh atoms to form URu8Rh4 cuboctahedra that share corners with twelve equivalent URu8Rh4 cuboctahedra, edges with eight equivalent RhU4Ru8 cuboctahedra, edges with sixteen equivalent RuU4Ru4Rh4 cuboctahedra, faces with four equivalent RhU4Ru8 cuboctahedra, faces with six equivalent URu8Rh4 cuboctahedra, and faces with eight equivalent RuU4Ru4Rh4 cuboctahedra. All U–Ru bond lengths are 2.82 Å. All U–Rh bond lengths are 2.86 Å. Ru is bonded to four equivalent U, four equivalent Ru, and four equivalent Rh atoms to form distorted RuU4Ru4Rh4 cuboctahedra that share corners with twelve equivalent RuU4Ru4Rh4 cuboctahedra, edges with eight equivalent URu8Rh4 cuboctahedra, edges with eight equivalent RuU4Ru4Rh4 cuboctahedra, edges with eight equivalent RhU4Ru8 cuboctahedra, faces with four equivalent URu8Rh4 cuboctahedra, faces with four equivalent RhU4Ru8 cuboctahedra, and faces with ten equivalent RuU4Ru4Rh4 cuboctahedra. All Ru–Ru bond lengths are 2.86 Å. All Ru–Rh bond lengths are 2.82 Å. Rh is bonded to four equivalent U and eight equivalent Ru atoms to form RhU4Ru8 cuboctahedra that share corners with twelve equivalent RhU4Ru8 cuboctahedra, edges with eight equivalent URu8Rh4 cuboctahedra, edges with sixteen equivalent RuU4Ru4Rh4 cuboctahedra, faces with four equivalent URu8Rh4 cuboctahedra, faces with six equivalent RhU4Ru8 cuboctahedra, and faces with eight equivalent RuU4Ru4Rh4 cuboctahedra.

36 MATERIALS SCIENCE↗

Materials Data on ErAgSn2 by Materials Project

AgErSn2 is Uranium Silicide-derived structured and crystallizes in the tetragonal P4/mmm space group. The structure is three-dimensional. Er is bonded to four equivalent Ag and eight equivalent Sn atoms to form ErAg4Sn8 cuboctahedra that share corners with twelve equivalent ErAg4Sn8 cuboctahedra, edges with eight equivalent AgEr4Sn8 cuboctahedra, edges with sixteen equivalent SnEr4Ag4Sn4 cuboctahedra, faces with four equivalent AgEr4Sn8 cuboctahedra, faces with six equivalent ErAg4Sn8 cuboctahedra, and faces with eight equivalent SnEr4Ag4Sn4 cuboctahedra. All Er–Ag bond lengths are 3.27 Å. All Er–Sn bond lengths are 3.20 Å. Ag is bonded to four equivalent Er and eight equivalent Sn atoms to form AgEr4Sn8 cuboctahedra that share corners with twelve equivalent AgEr4Sn8 cuboctahedra, edges with eight equivalent ErAg4Sn8 cuboctahedra, edges with sixteen equivalent SnEr4Ag4Sn4 cuboctahedra, faces with four equivalent ErAg4Sn8 cuboctahedra, faces with six equivalent AgEr4Sn8 cuboctahedra, and faces with eight equivalent SnEr4Ag4Sn4 cuboctahedra. All Ag–Sn bond lengths are 3.20 Å. Sn is bonded to four equivalent Er, four equivalent Ag, and four equivalent Sn atoms to form distorted SnEr4Ag4Sn4 cuboctahedra that share corners with twelve equivalent SnEr4Ag4Sn4 cuboctahedra, edges with eight equivalent ErAg4Sn8 cuboctahedra, edges with eight equivalent AgEr4Sn8 cuboctahedra, edges with eight equivalent SnEr4Ag4Sn4 cuboctahedra, faces with four equivalent ErAg4Sn8 cuboctahedra, faces with four equivalent AgEr4Sn8 cuboctahedra, and faces with ten equivalent SnEr4Ag4Sn4 cuboctahedra. All Sn–Sn bond lengths are 3.27 Å.

36 MATERIALS SCIENCE↗

Materials Data on MnGaNi2 by Materials Project

Ni2MnGa crystallizes in the tetragonal P4/mmm space group. The structure is three-dimensional. Mn is bonded to eight equivalent Ni and four equivalent Ga atoms to form MnGa4Ni8 cuboctahedra that share corners with twelve equivalent MnGa4Ni8 cuboctahedra, edges with eight equivalent GaMn4Ni8 cuboctahedra, edges with sixteen equivalent NiMn4Ga4Ni4 cuboctahedra, faces with four equivalent GaMn4Ni8 cuboctahedra, faces with six equivalent MnGa4Ni8 cuboctahedra, and faces with eight equivalent NiMn4Ga4Ni4 cuboctahedra. All Mn–Ni bond lengths are 2.56 Å. All Mn–Ga bond lengths are 2.65 Å. Ni is bonded to four equivalent Mn, four equivalent Ni, and four equivalent Ga atoms to form distorted NiMn4Ga4Ni4 cuboctahedra that share corners with twelve equivalent NiMn4Ga4Ni4 cuboctahedra, edges with eight equivalent MnGa4Ni8 cuboctahedra, edges with eight equivalent NiMn4Ga4Ni4 cuboctahedra, edges with eight equivalent GaMn4Ni8 cuboctahedra, faces with four equivalent MnGa4Ni8 cuboctahedra, faces with four equivalent GaMn4Ni8 cuboctahedra, and faces with ten equivalent NiMn4Ga4Ni4 cuboctahedra. All Ni–Ni bond lengths are 2.65 Å. All Ni–Ga bond lengths are 2.56 Å. Ga is bonded to four equivalent Mn and eight equivalent Ni atoms to form GaMn4Ni8 cuboctahedra that share corners with twelve equivalent GaMn4Ni8 cuboctahedra, edges with eight equivalent MnGa4Ni8 cuboctahedra, edges with sixteen equivalent NiMn4Ga4Ni4 cuboctahedra, faces with four equivalent MnGa4Ni8 cuboctahedra, faces with six equivalent GaMn4Ni8 cuboctahedra, and faces with eight equivalent NiMn4Ga4Ni4 cuboctahedra.

36 MATERIALS SCIENCE↗

Materials Data on La(TmS2)3 by Materials Project

La(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 53–62°. 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 53–62°. There are a spread of Tm–S bond distances ranging from 2.63–2.77 Å. La3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of La–S bond distances ranging from 2.93–3.06 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 La3+ atom to form distorted SLaTm3 trigonal pyramids that share corners with two equivalent SLa2Tm3 square pyramids, corners with four SLa2Tm3 trigonal bipyramids, corners with two equivalent SLaTm3 trigonal pyramids, edges with three equivalent SLa2Tm3 square pyramids, and edges with two equivalent SLa3Tm2 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 La3+ atoms to form distorted SLa2Tm3 square pyramids that share corners with six SLa2Tm3 trigonal bipyramids, corners with two equivalent SLaTm3 trigonal pyramids, edges with four equivalent SLa2Tm3 square pyramids, edges with two SLa2Tm3 trigonal bipyramids, and edges with three equivalent SLaTm3 trigonal pyramids. In the fifth S2- site, S2- is bonded to three Tm3+ and two equivalent La3+ atoms to form distorted SLa2Tm3 trigonal bipyramids that share corners with two equivalent SLa2Tm3 square pyramids, corners with two equivalent SLa3Tm2 trigonal bipyramids, corners with three equivalent SLaTm3 trigonal pyramids, an edgeedge with one SLa2Tm3 square pyramid, and edges with five SLa2Tm3 trigonal bipyramids. In the sixth S2- site, S2- is bonded to two equivalent Tm3+ and three equivalent La3+ atoms to form distorted SLa3Tm2 trigonal bipyramids that share corners with four equivalent SLa2Tm3 square pyramids, corners with two equivalent SLa2Tm3 trigonal bipyramids, a cornercorner with one SLaTm3 trigonal pyramid, an edgeedge with one SLa2Tm3 square pyramid, edges with seven SLa2Tm3 trigonal bipyramids, and edges with two equivalent SLaTm3 trigonal pyramids.

36 MATERIALS SCIENCE↗

Materials Data on KMg6Nb by Materials Project

KMg6Nb 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 six equivalent KMg12 cuboctahedra, edges with four equivalent MgK2Mg8Nb2 cuboctahedra, faces with two equivalent KMg12 cuboctahedra, faces with two equivalent MgK2Mg8Nb2 cuboctahedra, and faces with six equivalent NbMg12 cuboctahedra. There are a spread of K–Mg bond distances ranging from 3.23–3.29 Å. There are four inequivalent Mg sites. In the first Mg site, Mg is bonded in a 4-coordinate geometry to two equivalent K, five Mg, and two equivalent Nb atoms. There are a spread of Mg–Mg bond distances ranging from 3.01–3.23 Å. Both Mg–Nb bond lengths are 3.08 Å. In the second Mg site, Mg is bonded in a 12-coordinate geometry to two equivalent K, six Mg, and two equivalent Nb atoms. All Mg–Mg bond lengths are 3.18 Å. Both Mg–Nb bond lengths are 3.12 Å. In the third Mg site, Mg is bonded in a 12-coordinate geometry to two equivalent K, eight Mg, and two equivalent Nb atoms. There are a spread of Mg–Mg bond distances ranging from 3.09–3.44 Å. There are one shorter (3.23 Å) and one longer (3.28 Å) Mg–Nb bond lengths. In the fourth Mg site, Mg is bonded to two equivalent K, eight Mg, and two equivalent Nb atoms to form distorted MgK2Mg8Nb2 cuboctahedra that share corners with four equivalent NbMg12 cuboctahedra, corners with six equivalent MgK2Mg8Nb2 cuboctahedra, edges with two equivalent NbMg12 cuboctahedra, edges with four equivalent KMg12 cuboctahedra, faces with two equivalent KMg12 cuboctahedra, faces with two equivalent MgK2Mg8Nb2 cuboctahedra, and faces with two equivalent NbMg12 cuboctahedra. Both Mg–Nb bond lengths are 3.29 Å. Nb is bonded to twelve Mg atoms to form NbMg12 cuboctahedra that share corners with four equivalent MgK2Mg8Nb2 cuboctahedra, corners with six equivalent NbMg12 cuboctahedra, edges with two equivalent MgK2Mg8Nb2 cuboctahedra, faces with two equivalent MgK2Mg8Nb2 cuboctahedra, faces with two equivalent NbMg12 cuboctahedra, and faces with six equivalent KMg12 cuboctahedra.

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 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 4–12°. There are a spread of Li–O bond distances ranging from 2.08–2.27 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with two equivalent MnO6 octahedra, corners with 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 5–9°. There are a spread of Li–O bond distances ranging from 2.10–2.20 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 equivalent MnO6 octahedra, corners with two CoO6 octahedra, an edgeedge with one MnO6 octahedra, edges with four CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–12°. There are a spread of Li–O bond distances ranging from 1.96–2.31 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one MnO6 octahedra, corners with 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 6–10°. There are a spread of Li–O bond distances ranging from 2.02–2.26 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 5–8°. There are a spread of Li–O bond distances ranging from 2.08–2.18 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 2.09–2.22 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 3–15°. There are a spread of Li–O bond distances ranging from 2.05–2.27 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one MnO6 octahedra, corners with five CoO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–10°. There are a spread of Li–O bond distances ranging from 2.08–2.27 Å. In the ninth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with two equivalent CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–12°. There are a spread of Li–O bond distances ranging from 2.07–2.14 Å. There are two inequivalent Mn+4.50+ sites. In the first Mn+4.50+ site, Mn+4.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with two equivalent CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–10°. There are a spread of Mn–O bond distances ranging from 1.83–2.09 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 3–9°. There are a spread of Mn–O bond distances ranging from 1.94–1.97 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 5–12°. There are a spread of Co–O bond distances ranging from 1.79–2.33 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 2–15°. There are a spread of Co–O bond distances ranging from 1.92–2.20 Å. In the third Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent 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 1.98–2.17 Å. In the fourth Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 2–8°. There are a spread of Co–O bond distances ranging from 1.97–2.10 Å. In the fifth Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–12°. There are a spread of Co–O bond distances ranging from 1.94–2.11 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 OLi5Mn octahedra and edges with twelve OLi4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 1–10°. In the second 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 OLi4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 2–9°. 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 4–16°. In the fourth O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two equivalent Co+2.80+ atoms to form OLi3MnCo2 octahedra that share corners with six OLi5Mn octahedra and edges with twelve OLi4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 3–8°. 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 OLi5Mn octahedra and edges with twelve OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. 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 OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–5°. In the seventh O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two equivalent Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 0–10°. In the eighth 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 ninth O2- site, O2- is bonded to five Li1+ and one Mn+4.50+ atom to form a mixture of edge and corner-sharing OLi5Mn octahedra. The corner-sharing octahedra tilt angles range from 2–10°. In the tenth 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 1–16°. In the eleventh O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form a mixture of distorted edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 2–10°. In the twelfth O2- site, O2- is bonded to three Li1+, two equivalent Mn+4.50+, and one Co+2.80+ atom to form a mixture of edge and corner-sharing OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the thirteenth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–3°. In the fourteenth O2- site, O2- is bonded to 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 2–5°. 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 0–9°. In the sixteenth O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two equivalent Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 0–5°.

36 MATERIALS SCIENCE↗

Materials Data on SrYMg6 by Materials Project

SrMg6Y 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 YMg12 cuboctahedra, edges with eight equivalent MgSr2Y2Mg8 cuboctahedra, faces with two equivalent SrMg12 cuboctahedra, faces with four equivalent MgSr2Y2Mg8 cuboctahedra, and faces with four equivalent YMg12 cuboctahedra. There are a spread of Sr–Mg bond distances ranging from 3.38–3.50 Å. There are four inequivalent Mg sites. In the first Mg site, Mg is bonded to two equivalent Sr, eight Mg, and two equivalent Y atoms to form distorted MgSr2Y2Mg8 cuboctahedra that share corners with twelve equivalent MgSr2Y2Mg8 cuboctahedra, edges with four equivalent SrMg12 cuboctahedra, edges with four equivalent YMg12 cuboctahedra, faces with two equivalent SrMg12 cuboctahedra, faces with two equivalent YMg12 cuboctahedra, and faces with six equivalent MgSr2Y2Mg8 cuboctahedra. There are six shorter (3.40 Å) and two longer (3.41 Å) Mg–Mg bond lengths. There are one shorter (3.37 Å) and one longer (3.38 Å) Mg–Y bond lengths. In the second Mg site, Mg is bonded in a 12-coordinate geometry to two equivalent Sr, eight Mg, and two equivalent Y atoms. There are a spread of Mg–Mg bond distances ranging from 3.20–3.56 Å. Both Mg–Y bond lengths are 3.32 Å. In the third Mg site, Mg is bonded in a 12-coordinate geometry to two equivalent Sr, eight Mg, and two equivalent Y atoms. Both Mg–Y bond lengths are 3.32 Å. In the fourth Mg site, Mg is bonded in a 12-coordinate geometry to two equivalent Sr, eight Mg, and two equivalent Y atoms. Both Mg–Y bond lengths are 3.31 Å. Y is bonded to twelve Mg atoms to form YMg12 cuboctahedra that share corners with four equivalent YMg12 cuboctahedra, corners with eight equivalent SrMg12 cuboctahedra, edges with eight equivalent MgSr2Y2Mg8 cuboctahedra, faces with two equivalent YMg12 cuboctahedra, faces with four equivalent SrMg12 cuboctahedra, and faces with four equivalent MgSr2Y2Mg8 cuboctahedra.

36 MATERIALS SCIENCE↗

Materials Data on KMg6Zr by Materials Project

KMg6Zr 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 ZrMg12 cuboctahedra, edges with eight equivalent MgK2Mg8Zr2 cuboctahedra, faces with two equivalent KMg12 cuboctahedra, faces with four equivalent MgK2Mg8Zr2 cuboctahedra, and faces with four equivalent ZrMg12 cuboctahedra. There are a spread of K–Mg bond distances ranging from 3.34–3.55 Å. There are four inequivalent Mg sites. In the first Mg site, Mg is bonded to two equivalent K, eight Mg, and two equivalent Zr atoms to form distorted MgK2Mg8Zr2 cuboctahedra that share corners with twelve equivalent MgK2Mg8Zr2 cuboctahedra, edges with four equivalent KMg12 cuboctahedra, edges with four equivalent ZrMg12 cuboctahedra, faces with two equivalent KMg12 cuboctahedra, faces with two equivalent ZrMg12 cuboctahedra, and faces with six equivalent MgK2Mg8Zr2 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.30–3.37 Å. There are one shorter (3.32 Å) and one longer (3.36 Å) Mg–Zr bond lengths. In the second Mg site, Mg is bonded in a 10-coordinate geometry to two equivalent K, six Mg, and two equivalent Zr atoms. There are one shorter (2.99 Å) and one longer (3.02 Å) Mg–Mg bond lengths. Both Mg–Zr bond lengths are 3.17 Å. In the third Mg site, Mg is bonded in a 10-coordinate geometry to two equivalent K, six Mg, and two equivalent Zr atoms. Both Mg–Zr bond lengths are 3.18 Å. In the fourth Mg site, Mg is bonded in a 10-coordinate geometry to two equivalent K, six Mg, and two equivalent Zr atoms. Both Mg–Zr bond lengths are 3.16 Å. Zr is bonded to twelve Mg atoms to form ZrMg12 cuboctahedra that share corners with four equivalent ZrMg12 cuboctahedra, corners with eight equivalent KMg12 cuboctahedra, edges with eight equivalent MgK2Mg8Zr2 cuboctahedra, faces with two equivalent ZrMg12 cuboctahedra, faces with four equivalent KMg12 cuboctahedra, and faces with four equivalent MgK2Mg8Zr2 cuboctahedra.

36 MATERIALS SCIENCE↗

Materials Data on CaMg6Nb by Materials Project

CaMg6Nb is beta Cu3Ti-derived structured and crystallizes in the orthorhombic Amm2 space group. The structure is three-dimensional. Ca is bonded to twelve Mg atoms to form CaMg12 cuboctahedra that share corners with four equivalent CaMg12 cuboctahedra, corners with eight equivalent NbMg12 cuboctahedra, edges with eight equivalent MgCa2Mg8Nb2 cuboctahedra, faces with two equivalent CaMg12 cuboctahedra, faces with four equivalent MgCa2Mg8Nb2 cuboctahedra, and faces with four equivalent NbMg12 cuboctahedra. There are a spread of Ca–Mg bond distances ranging from 3.18–3.35 Å. There are four inequivalent Mg sites. In the first Mg site, Mg is bonded to two equivalent Ca, eight Mg, and two equivalent Nb atoms to form distorted MgCa2Mg8Nb2 cuboctahedra that share corners with twelve equivalent MgCa2Mg8Nb2 cuboctahedra, edges with four equivalent CaMg12 cuboctahedra, edges with four equivalent NbMg12 cuboctahedra, faces with two equivalent CaMg12 cuboctahedra, faces with two equivalent NbMg12 cuboctahedra, and faces with six equivalent MgCa2Mg8Nb2 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.19–3.23 Å. There are one shorter (3.17 Å) and one longer (3.20 Å) Mg–Nb bond lengths. In the second Mg site, Mg is bonded in a 12-coordinate geometry to two equivalent Ca, eight Mg, and two equivalent Nb atoms. There are a spread of Mg–Mg bond distances ranging from 2.92–3.45 Å. Both Mg–Nb bond lengths are 3.07 Å. In the third Mg site, Mg is bonded in a 12-coordinate geometry to two equivalent Ca, eight Mg, and two equivalent Nb atoms. Both Mg–Nb bond lengths are 3.08 Å. In the fourth Mg site, Mg is bonded in a 12-coordinate geometry to two equivalent Ca, eight Mg, and two equivalent Nb atoms. Both Mg–Nb bond lengths are 3.09 Å. Nb is bonded to twelve Mg atoms to form NbMg12 cuboctahedra that share corners with four equivalent NbMg12 cuboctahedra, corners with eight equivalent CaMg12 cuboctahedra, edges with eight equivalent MgCa2Mg8Nb2 cuboctahedra, faces with two equivalent NbMg12 cuboctahedra, faces with four equivalent CaMg12 cuboctahedra, and faces with four equivalent MgCa2Mg8Nb2 cuboctahedra.

36 MATERIALS SCIENCE↗

Materials Data on TiAl2Zn by Materials Project

TiZnAl2 is alpha La-derived structured and crystallizes in the tetragonal P4/mmm space group. The structure is three-dimensional. Ti is bonded to four equivalent Zn and eight equivalent Al atoms to form TiAl8Zn4 cuboctahedra that share corners with twelve equivalent TiAl8Zn4 cuboctahedra, edges with eight equivalent ZnTi4Al8 cuboctahedra, edges with sixteen equivalent AlTi4Al4Zn4 cuboctahedra, faces with four equivalent ZnTi4Al8 cuboctahedra, faces with six equivalent TiAl8Zn4 cuboctahedra, and faces with eight equivalent AlTi4Al4Zn4 cuboctahedra. All Ti–Zn bond lengths are 2.81 Å. All Ti–Al bond lengths are 2.78 Å. Zn is bonded to four equivalent Ti and eight equivalent Al atoms to form ZnTi4Al8 cuboctahedra that share corners with twelve equivalent ZnTi4Al8 cuboctahedra, edges with eight equivalent TiAl8Zn4 cuboctahedra, edges with sixteen equivalent AlTi4Al4Zn4 cuboctahedra, faces with four equivalent TiAl8Zn4 cuboctahedra, faces with six equivalent ZnTi4Al8 cuboctahedra, and faces with eight equivalent AlTi4Al4Zn4 cuboctahedra. All Zn–Al bond lengths are 2.78 Å. Al is bonded to four equivalent Ti, four equivalent Zn, and four equivalent Al atoms to form AlTi4Al4Zn4 cuboctahedra that share corners with twelve equivalent AlTi4Al4Zn4 cuboctahedra, edges with eight equivalent TiAl8Zn4 cuboctahedra, edges with eight equivalent ZnTi4Al8 cuboctahedra, edges with eight equivalent AlTi4Al4Zn4 cuboctahedra, faces with four equivalent TiAl8Zn4 cuboctahedra, faces with four equivalent ZnTi4Al8 cuboctahedra, and faces with ten equivalent AlTi4Al4Zn4 cuboctahedra. All Al–Al bond lengths are 2.81 Å.

36 MATERIALS SCIENCE↗

Materials Data on Ce(HoS2)3 by Materials Project

Ce(HoS2)3 crystallizes in the monoclinic P2_1/m space group. The structure is three-dimensional. there are three inequivalent Ho3+ sites. In the first Ho3+ site, Ho3+ is bonded to seven S2- atoms to form distorted HoS7 pentagonal bipyramids that share corners with three HoS6 octahedra, edges with two equivalent HoS6 octahedra, and edges with four equivalent HoS7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 39–50°. There are a spread of Ho–S bond distances ranging from 2.69–2.93 Å. In the second Ho3+ site, Ho3+ is bonded to six S2- atoms to form HoS6 octahedra that share corners with three equivalent HoS6 octahedra, a cornercorner with one HoS7 pentagonal bipyramid, edges with four equivalent HoS6 octahedra, and edges with two equivalent HoS7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 54–62°. There are a spread of Ho–S bond distances ranging from 2.66–2.77 Å. In the third Ho3+ site, Ho3+ is bonded to six S2- atoms to form HoS6 octahedra that share corners with three equivalent HoS6 octahedra, corners with two equivalent HoS7 pentagonal bipyramids, and edges with four equivalent HoS6 octahedra. The corner-sharing octahedra tilt angles range from 54–62°. There are a spread of Ho–S bond distances ranging from 2.66–2.79 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 Ho3+ atoms. In the second S2- site, S2- is bonded to three Ho3+ and one Ce3+ atom to form distorted SCeHo3 trigonal pyramids that share corners with two equivalent SCe2Ho3 square pyramids, corners with four SCe2Ho3 trigonal bipyramids, corners with two equivalent SCeHo3 trigonal pyramids, edges with three equivalent SCe2Ho3 square pyramids, and edges with two equivalent SCe3Ho2 trigonal bipyramids. In the third S2- site, S2- is bonded in a rectangular see-saw-like geometry to four Ho3+ atoms. In the fourth S2- site, S2- is bonded to three equivalent Ho3+ and two equivalent Ce3+ atoms to form distorted SCe2Ho3 square pyramids that share corners with six SCe2Ho3 trigonal bipyramids, corners with two equivalent SCeHo3 trigonal pyramids, edges with four equivalent SCe2Ho3 square pyramids, edges with two SCe2Ho3 trigonal bipyramids, and edges with three equivalent SCeHo3 trigonal pyramids. In the fifth S2- site, S2- is bonded to three Ho3+ and two equivalent Ce3+ atoms to form distorted SCe2Ho3 trigonal bipyramids that share corners with two equivalent SCe2Ho3 square pyramids, corners with two equivalent SCe3Ho2 trigonal bipyramids, corners with three equivalent SCeHo3 trigonal pyramids, an edgeedge with one SCe2Ho3 square pyramid, and edges with five SCe2Ho3 trigonal bipyramids. In the sixth S2- site, S2- is bonded to two equivalent Ho3+ and three equivalent Ce3+ atoms to form distorted SCe3Ho2 trigonal bipyramids that share corners with four equivalent SCe2Ho3 square pyramids, corners with two equivalent SCe2Ho3 trigonal bipyramids, a cornercorner with one SCeHo3 trigonal pyramid, an edgeedge with one SCe2Ho3 square pyramid, edges with seven SCe2Ho3 trigonal bipyramids, and edges with two equivalent SCeHo3 trigonal pyramids.

36 MATERIALS SCIENCE↗

Materials Data on LaAlCuNi3 by Materials Project

LaNi3CuAl crystallizes in the monoclinic P2/m space group. The structure is three-dimensional. La is bonded in a 6-coordinate geometry to ten Ni, four equivalent Cu, and four equivalent Al atoms. There are a spread of La–Ni bond distances ranging from 2.92–3.27 Å. All La–Cu bond lengths are 3.23 Å. All La–Al bond lengths are 3.29 Å. There are two inequivalent Ni sites. In the first Ni site, Ni is bonded in a 12-coordinate geometry to three equivalent La, two equivalent Ni, two equivalent Cu, and two equivalent Al atoms. Both Ni–Ni bond lengths are 2.51 Å. Both Ni–Cu bond lengths are 2.54 Å. Both Ni–Al bond lengths are 2.49 Å. In the second Ni site, Ni is bonded to four equivalent La, four equivalent Ni, two equivalent Cu, and two equivalent Al atoms to form distorted NiLa4Al2Cu2Ni4 cuboctahedra that share corners with four equivalent CuLa4Al2Ni6 cuboctahedra, corners with eight equivalent NiLa4Al2Cu2Ni4 cuboctahedra, edges with two equivalent NiLa4Al2Cu2Ni4 cuboctahedra, edges with four equivalent CuLa4Al2Ni6 cuboctahedra, faces with two equivalent NiLa4Al2Cu2Ni4 cuboctahedra, and faces with four equivalent CuLa4Al2Ni6 cuboctahedra. Both Ni–Cu bond lengths are 2.59 Å. Both Ni–Al bond lengths are 2.51 Å. Cu is bonded to four equivalent La, six Ni, and two equivalent Al atoms to form distorted CuLa4Al2Ni6 cuboctahedra that share corners with four equivalent NiLa4Al2Cu2Ni4 cuboctahedra, corners with eight equivalent CuLa4Al2Ni6 cuboctahedra, edges with two equivalent CuLa4Al2Ni6 cuboctahedra, edges with four equivalent NiLa4Al2Cu2Ni4 cuboctahedra, faces with two equivalent CuLa4Al2Ni6 cuboctahedra, and faces with four equivalent NiLa4Al2Cu2Ni4 cuboctahedra. Both Cu–Al bond lengths are 2.56 Å. Al is bonded in a 12-coordinate geometry to four equivalent La, six Ni, and two equivalent Cu 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 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 7–10°. There are a spread of Li–O bond distances ranging from 2.09–2.31 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 2–15°. There are a spread of Li–O bond distances ranging from 2.10–2.19 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 2–6°. There are a spread of Li–O bond distances ranging from 2.09–2.16 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one MnO6 octahedra, corners with 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 3–14°. There are a spread of Li–O bond distances ranging from 2.01–2.23 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 2–8°. There are a spread of Li–O bond distances ranging from 2.05–2.27 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 1–9°. There are a spread of Li–O bond distances ranging from 2.09–2.30 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one 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 2.00–2.25 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one MnO6 octahedra, corners with four 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 4–13°. There are a spread of Li–O bond distances ranging from 2.10–2.24 Å. In the ninth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with two equivalent CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–11°. There are a spread of Li–O bond distances ranging from 2.07–2.14 Å. There are two inequivalent Mn+4.50+ sites. In the first Mn+4.50+ site, Mn+4.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with two equivalent CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–9°. There are a spread of Mn–O bond distances ranging from 1.83–2.08 Å. In the second Mn+4.50+ site, Mn+4.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–10°. There are a spread of Mn–O bond distances ranging from 1.91–1.98 Å. There are five inequivalent Co+2.80+ sites. In the first Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form distorted CoO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with two equivalent CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–15°. There are a spread of Co–O bond distances ranging from 1.79–2.32 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 2–10°. There are a spread of Co–O bond distances ranging from 2.01–2.11 Å. In the third Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 2–8°. There are a spread of Co–O bond distances ranging from 1.93–2.08 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 1–6°. There are a spread of Co–O bond distances ranging from 1.98–2.06 Å. In the fifth Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–11°. There are a spread of Co–O bond distances ranging from 1.93–2.08 Å. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded to four Li1+ and two equivalent Mn+4.50+ atoms to form OLi4Mn2 octahedra that share corners with six OLi3Mn2Co octahedra and edges with twelve OLi4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 1–9°. In the second O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two equivalent Co+2.80+ atoms to form OLi3MnCo2 octahedra that share corners with six OLi3Mn2Co octahedra and edges with twelve OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 1–19°. In the third O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form a mixture of corner and edge-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the fourth O2- site, O2- is bonded to five Li1+ and one Co+2.80+ atom to form OLi5Co octahedra that share corners with six OLi3Mn2Co octahedra and edges with twelve OLi4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 3–11°. In the fifth 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 2–6°. In the sixth 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 1–4°. 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 1–8°. 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 OLi3Co3 octahedra and edges with twelve OLi4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 3–9°. In the ninth O2- site, O2- is bonded to three Li1+, two equivalent Mn+4.50+, and one Co+2.80+ atom to form a mixture of distorted corner and edge-sharing OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 2–11°. In the tenth 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 1–4°. In the eleventh O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form a mixture of corner and edge-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the twelfth 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 1–6°. In the thirteenth 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 1–6°. 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 corner and edge-sharing OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 1–6°. In the fifteenth 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 3–9°. In the sixteenth O2- site, O2- is bonded to four Li1+ and two equivalent Co+2.80+ atoms to form a mixture of corner and edge-sharing OLi4Co2 octahedra. The corner-sharing octahedra tilt angles range from 1–19°.

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, corners with five 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 6–15°. There are a spread of Li–O bond distances ranging from 2.06–2.32 Å. In the second 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 4–9°. There are a spread of Li–O bond distances ranging from 2.05–2.25 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 4–8°. There are a spread of Li–O bond distances ranging from 2.10–2.20 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one MnO6 octahedra, corners with 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 6–10°. There are a spread of Li–O bond distances ranging from 2.03–2.32 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one MnO6 octahedra, corners with four CoO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–8°. There are a spread of Li–O bond distances ranging from 2.05–2.31 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with 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 4–9°. There are a spread of Li–O bond distances ranging from 2.03–2.30 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one 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 4–12°. There are a spread of Li–O bond distances ranging from 2.09–2.19 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with two equivalent MnO6 octahedra, corners with two CoO6 octahedra, an edgeedge with one MnO6 octahedra, edges with four CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–11°. There are a spread of Li–O bond distances ranging from 1.98–2.27 Å. In the ninth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with two equivalent CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–8°. There are a spread of Li–O bond distances ranging from 2.09–2.13 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 four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–10°. There is five shorter (1.94 Å) and one longer (1.98 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 two equivalent CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–8°. There are a spread of Mn–O bond distances ranging from 1.85–2.06 Å. There are five inequivalent Co+2.80+ sites. In the first Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 3–11°. There are a spread of Co–O bond distances ranging from 2.00–2.09 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 2–9°. There are a spread of Co–O bond distances ranging from 1.97–2.12 Å. In the third Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent 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 Co–O bond distances ranging from 1.99–2.18 Å. In the fourth 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 6–11°. There are a spread of Co–O bond distances ranging from 1.81–2.31 Å. In the fifth Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–15°. There are a spread of Co–O bond distances ranging from 1.95–2.17 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 OLi5Mn octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 1–12°. In the second 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 OLi5Co octahedra. The corner-sharing octahedra tilt angles range from 3–8°. 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 OLi5Mn octahedra and edges with twelve OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–4°. In the fourth 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 2–13°. In the fifth O2- site, O2- is bonded to four Li1+ and two equivalent Mn+4.50+ atoms to form OLi4Mn2 octahedra that share corners with six OLi3Mn2Co octahedra and edges with twelve OLi5Co octahedra. The corner-sharing octahedra tilt angles range from 0–8°. 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 2–6°. In the seventh O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two equivalent Co+2.80+ atoms to form OLi3MnCo2 octahedra that share corners with six OLi5Mn octahedra and edges with twelve OLi4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. In the eighth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form OLi3Co3 octahedra that share corners with six OLi3Mn2Co octahedra and edges with twelve OLi5Co octahedra. The corner-sharing octahedra tilt angles range from 4–14°. In the ninth O2- site, O2- is bonded to five Li1+ and one Mn+4.50+ atom to form OLi5Mn octahedra that share corners with six OLi3Mn2Co octahedra and edges with twelve OLi5Co octahedra. The corner-sharing octahedra tilt angles range from 3–12°. 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 OLi3Mn2Co octahedra and edges with twelve OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. 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 1–7°. 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 OLi3MnCo2 octahedra and edges with twelve OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 2–6°. In the thirteenth 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 2–6°. In the fourteenth O2- site, O2- is bonded to four Li1+ and two equivalent Co+2.80+ atoms to form OLi4Co2 octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 0–14°. 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 1–8°. In the sixteenth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form OLi3Co3 octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi5Co octahedra. The corner-sharing octahedra tilt angles range from 3–8°.

36 MATERIALS SCIENCE↗

Materials Data on Li7Mn2(CoO4)3 by Materials Project

Li7Mn2(CoO4)3 is Caswellsilverite-derived structured and crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are seven inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with four CoO6 octahedra, an edgeedge with one CoO6 octahedra, edges with three MnO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 10–19°. There are a spread of Li–O bond distances ranging from 2.02–2.41 Å. In the second 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 two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–15°. There are a spread of Li–O bond distances ranging from 2.09–2.20 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with 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 11–14°. There are a spread of Li–O bond distances ranging from 2.04–2.42 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with two equivalent MnO6 octahedra, corners with two equivalent CoO6 octahedra, edges with two equivalent CoO6 octahedra, edges with three MnO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–18°. There are a spread of Li–O bond distances ranging from 1.96–2.38 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with two equivalent MnO6 octahedra, corners with two 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 0–11°. There are a spread of Li–O bond distances ranging from 2.01–2.37 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with two equivalent MnO6 octahedra, corners with two equivalent 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 1–13°. There are a spread of Li–O bond distances ranging from 2.01–2.23 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with four CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 0–9°. There are a spread of Li–O bond distances ranging from 2.09–2.17 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 CoO6 octahedra, edges with four MnO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–13°. There are a spread of Mn–O bond distances ranging from 1.87–1.99 Å. In the second Mn+4.50+ site, Mn+4.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent CoO6 octahedra, edges with four MnO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 1–13°. There are a spread of Mn–O bond distances ranging from 1.85–2.02 Å. There are three inequivalent Co+2.67+ sites. In the first Co+2.67+ site, Co+2.67+ is bonded to six O2- atoms to form 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 8–14°. There are a spread of Co–O bond distances ranging from 1.81–2.22 Å. In the second Co+2.67+ site, Co+2.67+ is bonded to six O2- atoms to form distorted CoO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with two equivalent CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 11–19°. There are a spread of Co–O bond distances ranging from 1.79–2.28 Å. In the third Co+2.67+ site, Co+2.67+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–18°. There are a spread of Co–O bond distances ranging from 1.83–2.20 Å. There are twelve inequivalent O2- sites. In the first O2- site, O2- is bonded to three Li1+ and three Mn+4.50+ atoms to form OLi3Mn3 octahedra that share corners with six OLi5Co octahedra and edges with twelve OLi3Mn3 octahedra. The corner-sharing octahedra tilt angles range from 3–11°. In the second O2- site, O2- is bonded to three Li1+ and three Co+2.67+ atoms to form OLi3Co3 octahedra that share corners with six OLi5Co octahedra and edges with twelve OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 6–14°. In the third O2- site, O2- is bonded to five Li1+ and one Co+2.67+ atom to form a mixture of edge and corner-sharing OLi5Co octahedra. The corner-sharing octahedra tilt angles range from 1–18°. In the fourth O2- site, O2- is bonded to four Li1+ and two equivalent Co+2.67+ atoms to form OLi4Co2 octahedra that share corners with six OLi3Mn3 octahedra and edges with twelve OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 2–14°. In the fifth O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two equivalent Co+2.67+ atoms to form a mixture of distorted edge and corner-sharing OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 4–17°. In the sixth O2- site, O2- is bonded to three Li1+, two equivalent Mn+4.50+, and one Co+2.67+ atom to form a mixture of distorted edge and corner-sharing OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 4–16°. In the seventh O2- site, O2- is bonded to five Li1+ and one Co+2.67+ atom to form a mixture of edge and corner-sharing OLi5Co octahedra. The corner-sharing octahedra tilt angles range from 1–14°. In the eighth O2- site, O2- is bonded to three Li1+, two equivalent Mn+4.50+, and one Co+2.67+ atom to form a mixture of distorted edge and corner-sharing OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 5–18°. In the ninth O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two equivalent Co+2.67+ atoms to form OLi3MnCo2 octahedra that share corners with six OLi3Mn3 octahedra and edges with twelve OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 3–11°. In the tenth O2- site, O2- is bonded to three Li1+ and three Mn+4.50+ atoms to form distorted OLi3Mn3 octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi3Mn3 octahedra. The corner-sharing octahedra tilt angles range from 4–14°. In the eleventh O2- site, O2- is bonded to three Li1+ and three Co+2.67+ atoms to form OLi3Co3 octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi3Mn3 octahedra. The corner-sharing octahedra tilt angles range from 4–16°. In the twelfth O2- site, O2- is bonded to four Li1+ and two equivalent Co+2.67+ atoms to form OLi4Co2 octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 2–17°.

36 MATERIALS SCIENCE↗

Materials Data on Sm2Ga3(Fe7C)2 by Materials Project

Sm2Fe14Ga3C2 crystallizes in the monoclinic C2/m space group. The structure is three-dimensional. Sm is bonded in a distorted bent 120 degrees geometry to six Fe, three Ga, and two equivalent C atoms. There are a spread of Sm–Fe bond distances ranging from 3.06–3.33 Å. There are two shorter (3.32 Å) and one longer (3.40 Å) Sm–Ga bond lengths. Both Sm–C bond lengths are 2.54 Å. There are five inequivalent Fe sites. In the first Fe site, Fe is bonded in a 1-coordinate geometry to one Sm, 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 (2.66 Å) and two longer (2.68 Å) Fe–Ga bond lengths. In the second Fe site, Fe is bonded to three equivalent Sm, seven Fe, and two equivalent Ga atoms to form FeSm3Ga2Fe7 cuboctahedra that share corners with four equivalent FeSm3Ga2Fe7 cuboctahedra, corners with five GaSm2Fe10 cuboctahedra, corners with four equivalent CSm2Fe4 octahedra, an edgeedge with one FeSm3Ga2Fe7 cuboctahedra, edges with three GaSm2Fe10 cuboctahedra, a faceface with one FeSm3Ga2Fe7 cuboctahedra, faces with three GaSm2Fe10 cuboctahedra, and faces with two equivalent CSm2Fe4 octahedra. The corner-sharing octahedra tilt angles range from 63–69°. There are a spread of Fe–Fe bond distances ranging from 2.54–2.66 Å. Both Fe–Ga bond lengths are 2.50 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 1.91 Å. In the fourth Fe site, Fe is bonded in a 12-coordinate geometry to two equivalent Sm, 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 2.44 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 Sm and ten Fe atoms to form distorted GaSm2Fe10 cuboctahedra that share corners with four equivalent GaSm2Fe10 cuboctahedra, corners with six equivalent FeSm3Ga2Fe7 cuboctahedra, edges with two equivalent FeSm3Ga2Fe7 cuboctahedra, faces with two equivalent FeSm3Ga2Fe7 cuboctahedra, faces with four equivalent GaSm2Fe10 cuboctahedra, and faces with four equivalent CSm2Fe4 octahedra. In the second Ga site, Ga is bonded to two equivalent Sm and ten Fe atoms to form distorted GaSm2Fe10 cuboctahedra that share corners with two equivalent FeSm3Ga2Fe7 cuboctahedra, corners with four GaSm2Fe10 cuboctahedra, corners with two equivalent CSm2Fe4 octahedra, edges with two equivalent FeSm3Ga2Fe7 cuboctahedra, faces with two equivalent FeSm3Ga2Fe7 cuboctahedra, faces with four GaSm2Fe10 cuboctahedra, and faces with two equivalent CSm2Fe4 octahedra. The corner-sharing octahedral tilt angles are 45°. C is bonded to two equivalent Sm and four Fe atoms to form CSm2Fe4 octahedra that share corners with two equivalent GaSm2Fe10 cuboctahedra, corners with four equivalent FeSm3Ga2Fe7 cuboctahedra, corners with two equivalent CSm2Fe4 octahedra, faces with two equivalent FeSm3Ga2Fe7 cuboctahedra, and faces with four GaSm2Fe10 cuboctahedra. The corner-sharing octahedral tilt angles are 63°.

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 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 2.12–2.20 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 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 7–9°. There are a spread of Li–O bond distances ranging from 2.08–2.25 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one MnO6 octahedra, 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 3–13°. There are a spread of Li–O bond distances ranging from 2.01–2.24 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one 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 6–10°. There are a spread of Li–O bond distances ranging from 2.01–2.21 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 2–7°. There are a spread of Li–O bond distances ranging from 2.10–2.21 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 3–15°. There are a spread of Li–O bond distances ranging from 2.12–2.18 Å. In the seventh 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 0–8°. There are a spread of Li–O bond distances ranging from 2.10–2.27 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 6–10°. There are a spread of Li–O bond distances ranging from 2.06–2.15 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 3–9°. There are a spread of Mn–O bond distances ranging from 1.83–2.06 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 3–8°. There are a spread of Mn–O bond distances ranging from 1.91–1.97 Å. There are four inequivalent Co4+ sites. In the first Co4+ site, Co4+ is bonded to six O2- atoms to form distorted CoO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with two equivalent CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–15°. There are a spread of Co–O bond distances ranging from 1.79–2.33 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 0–10°. There are a spread of Co–O bond distances ranging from 2.02–2.10 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 3–6°. There are a spread of Co–O bond distances ranging from 2.01–2.06 Å. In the fourth Co4+ site, Co4+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–9°. There are a spread of Co–O bond distances ranging from 1.99–2.06 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 a mixture of corner and edge-sharing OLi4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 0–8°. In the second O2- site, O2- is bonded to five Li1+ and one Co4+ atom to form OLi5Co octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi5Mn octahedra. The corner-sharing octahedra tilt angles range from 3–11°. In the third O2- site, O2- is bonded to three Li1+, one Mn2+, and two equivalent Co4+ atoms to form OLi3MnCo2 octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 1–19°. 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 OLi5Mn octahedra and edges with twelve OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 3–7°. In the fifth 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 1–7°. In the sixth 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 1–5°. In the seventh O2- site, O2- is bonded to three Li1+ and three Co4+ atoms to form OLi3Co3 octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 2–4°. In the eighth O2- site, O2- is bonded to five Li1+ and one Mn2+ atom to form a mixture of corner and edge-sharing OLi5Mn octahedra. The corner-sharing octahedra tilt angles range from 3–8°. In the ninth O2- site, O2- is bonded to four Li1+ and two equivalent Co4+ atoms to form OLi4Co2 octahedra that share corners with six OLi4Mn2 octahedra and edges with twelve OLi5Mn octahedra. The corner-sharing octahedra tilt angles range from 0–19°. In the tenth O2- site, O2- is bonded to three Li1+, two equivalent Mn2+, and one Co4+ atom to form a mixture of distorted corner and edge-sharing OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 2–11°. In the eleventh O2- site, O2- is bonded to three Li1+, two equivalent Mn2+, and one Co4+ atom to form a mixture of corner and edge-sharing OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 1–6°. 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 1–4°. In the thirteenth O2- site, O2- is bonded to three Li1+, one Mn2+, and two equivalent Co4+ atoms to form a mixture of corner and edge-sharing OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 1–5°. In the fourteenth 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 1–5°.

36 MATERIALS SCIENCE↗

Materials Data on SrLiTi3Cr2O11 by Materials Project

LiSrTi3Cr2O11 crystallizes in the orthorhombic Pnma space group. The structure is three-dimensional. Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four equivalent CrO6 octahedra, corners with six TiO6 octahedra, and an edgeedge with one SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 55–62°. There are a spread of Li–O bond distances ranging from 1.93–2.02 Å. Sr2+ is bonded to twelve O2- atoms to form distorted SrO12 cuboctahedra that share corners with two equivalent SrO12 cuboctahedra, corners with three TiO6 octahedra, corners with four equivalent CrO6 octahedra, an edgeedge with one TiO6 octahedra, edges with two equivalent CrO6 octahedra, an edgeedge with one LiO4 tetrahedra, faces with two equivalent SrO12 cuboctahedra, and faces with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 28–48°. There are a spread of Sr–O bond distances ranging from 2.67–3.13 Å. There are three inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with three equivalent TiO6 octahedra, corners with three equivalent LiO4 tetrahedra, an edgeedge with one TiO6 octahedra, edges with two equivalent CrO6 octahedra, and faces with three equivalent SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 13–19°. There are a spread of Ti–O bond distances ranging from 1.94–2.03 Å. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one SrO12 cuboctahedra, corners with two equivalent CrO6 octahedra, corners with five TiO6 octahedra, edges with two equivalent CrO6 octahedra, and faces with three equivalent SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 13–53°. There are a spread of Ti–O bond distances ranging from 1.91–2.10 Å. In the third Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two equivalent SrO12 cuboctahedra, corners with two equivalent TiO6 octahedra, corners with two equivalent CrO6 octahedra, corners with three equivalent LiO4 tetrahedra, an edgeedge with one SrO12 cuboctahedra, an edgeedge with one TiO6 octahedra, and edges with two equivalent CrO6 octahedra. The corner-sharing octahedra tilt angles range from 49–51°. There are a spread of Ti–O bond distances ranging from 1.88–2.19 Å. Cr+3.50+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with two equivalent SrO12 cuboctahedra, corners with two TiO6 octahedra, corners with two equivalent LiO4 tetrahedra, an edgeedge with one SrO12 cuboctahedra, edges with two equivalent CrO6 octahedra, and edges with three TiO6 octahedra. The corner-sharing octahedra tilt angles range from 49–53°. There are a spread of Cr–O bond distances ranging from 1.94–2.01 Å. There are eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Ti4+, and two equivalent Cr+3.50+ atoms. In the second O2- site, O2- is bonded in a 4-coordinate geometry to one Sr2+, two Ti4+, and one Cr+3.50+ atom. In the third O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, one Sr2+, and two Ti4+ atoms. In the fourth O2- site, O2- is bonded in a distorted tetrahedral geometry to one Li1+, one Ti4+, and two equivalent Cr+3.50+ atoms. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Ti4+ and two equivalent Cr+3.50+ atoms. In the sixth O2- site, O2- is bonded in a distorted T-shaped geometry to two equivalent Sr2+, two Ti4+, and one Cr+3.50+ atom. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to one Sr2+, one Ti4+, and two equivalent Cr+3.50+ atoms. In the eighth O2- site, O2- is bonded in a 2-coordinate geometry to three equivalent Sr2+ and two Ti4+ atoms.

36 MATERIALS SCIENCE↗