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Materials Data on PrErS3 by Materials Project

ErPrS3 crystallizes in the monoclinic P2_1/m space group. The structure is three-dimensional. there are four inequivalent Er3+ sites. In the first Er3+ site, Er3+ is bonded to six S2- atoms to form a mixture of corner and edge-sharing ErS6 octahedra. The corner-sharing octahedral tilt angles are 61°. There are a spread of Er–S bond distances ranging from 2.61–2.78 Å. In the second Er3+ site, Er3+ is bonded to six S2- atoms to form a mixture of corner and edge-sharing ErS6 octahedra. The corner-sharing octahedral tilt angles are 61°. There are a spread of Er–S bond distances ranging from 2.64–2.80 Å. In the third Er3+ site, Er3+ is bonded to seven S2- atoms to form a mixture of distorted corner, edge, and face-sharing ErS7 pentagonal bipyramids. There are a spread of Er–S bond distances ranging from 2.72–2.98 Å. In the fourth Er3+ site, Er3+ is bonded to seven S2- atoms to form a mixture of distorted corner, edge, and face-sharing ErS7 pentagonal bipyramids. There are a spread of Er–S bond distances ranging from 2.71–2.95 Å. There are four inequivalent Pr3+ sites. In the first Pr3+ site, Pr3+ is bonded in a 7-coordinate geometry to seven S2- atoms. There are a spread of Pr–S bond distances ranging from 2.89–3.03 Å. In the second Pr3+ site, Pr3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Pr–S bond distances ranging from 2.85–3.34 Å. In the third Pr3+ site, Pr3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Pr–S bond distances ranging from 2.89–2.99 Å. In the fourth Pr3+ site, Pr3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Pr–S bond distances ranging from 2.89–3.14 Å. There are twelve inequivalent S2- sites. In the first S2- site, S2- is bonded to two equivalent Er3+ and three equivalent Pr3+ atoms to form distorted SPr3Er2 trigonal bipyramids that share corners with six SPr4Er square pyramids, corners with two equivalent SPr2Er2 tetrahedra, corners with two equivalent SPr2Er2 trigonal pyramids, edges with four SPr4Er square pyramids, edges with four equivalent SPr3Er2 trigonal bipyramids, and an edgeedge with one SPr2Er2 trigonal pyramid. In the second S2- site, S2- is bonded to two equivalent Er3+ and two Pr3+ atoms to form distorted SPr2Er2 trigonal pyramids that share corners with two equivalent SPr4Er square pyramids, corners with two equivalent SPr2Er2 tetrahedra, corners with six SPr3Er2 trigonal bipyramids, corners with two equivalent SPr2Er2 trigonal pyramids, edges with two equivalent SPr4Er square pyramids, and edges with three SPr3Er2 trigonal bipyramids. In the third S2- site, S2- is bonded in a 4-coordinate geometry to two equivalent Er3+ and two Pr3+ atoms. In the fourth S2- site, S2- is bonded in a 5-coordinate geometry to four Er3+ and one Pr3+ atom. In the fifth S2- site, S2- is bonded to three equivalent Er3+ and two equivalent Pr3+ atoms to form distorted SPr2Er3 trigonal bipyramids that share corners with four equivalent SPr4Er square pyramids, corners with two equivalent SPr4Er trigonal bipyramids, corners with two equivalent SPr2Er2 trigonal pyramids, edges with five SPr2Er3 trigonal bipyramids, and a faceface with one SPr4Er square pyramid. In the sixth S2- site, S2- is bonded to one Er3+ and four Pr3+ atoms to form distorted SPr4Er square pyramids that share corners with two equivalent SPr2Er3 square pyramids, a cornercorner with one SPr2Er2 tetrahedra, corners with six SPr3Er2 trigonal bipyramids, edges with three SPr4Er square pyramids, edges with five SPr3Er2 trigonal bipyramids, and edges with two equivalent SPr2Er2 trigonal pyramids. In the seventh S2- site, S2- is bonded to two Er3+ and two equivalent Pr3+ atoms to form distorted SPr2Er2 tetrahedra that share corners with six SPr4Er square pyramids, corners with two equivalent SPr2Er2 tetrahedra, corners with four SPr3Er2 trigonal bipyramids, corners with two equivalent SPr2Er2 trigonal pyramids, an edgeedge with one SPr4Er square pyramid, and an edgeedge with one SPr4Er trigonal bipyramid. In the eighth S2- site, S2- is bonded in a 5-coordinate geometry to four Er3+ and one Pr3+ atom. In the ninth S2- site, S2- is bonded to one Er3+ and four Pr3+ atoms to form distorted SPr4Er trigonal bipyramids that share corners with four SPr4Er square pyramids, corners with two equivalent SPr2Er2 tetrahedra, corners with two equivalent SPr4Er trigonal bipyramids, corners with two equivalent SPr2Er2 trigonal pyramids, edges with two SPr4Er square pyramids, an edgeedge with one SPr2Er2 tetrahedra, edges with two equivalent SPr4Er trigonal bipyramids, and a faceface with one SPr4Er trigonal bipyramid. In the tenth S2- site, S2- is bonded to one Er3+ and four Pr3+ atoms to form distorted SPr4Er trigonal bipyramids that share corners with four SPr4Er square pyramids, corners with four SPr2Er3 trigonal bipyramids, edges with two SPr4Er square pyramids, edges with three SPr2Er3 trigonal bipyramids, edges with two equivalent SPr2Er2 trigonal pyramids, and a faceface with one SPr4Er trigonal bipyramid. In the eleventh S2- site, S2- is bonded to one Er3+ and four Pr3+ atoms to form distorted SPr4Er square pyramids that share corners with two equivalent SPr2Er2 tetrahedra, corners with eight SPr2Er3 trigonal bipyramids, corners with two equivalent SPr2Er2 trigonal pyramids, edges with two equivalent SPr4Er square pyramids, an edgeedge with one SPr2Er2 tetrahedra, edges with two SPr4Er trigonal bipyramids, and a faceface with one SPr2Er3 trigonal bipyramid. In the twelfth S2- site, S2- is bonded to three equivalent Er3+ and two equivalent Pr3+ atoms to form distorted SPr2Er3 square pyramids that share corners with two equivalent SPr4Er square pyramids, corners with three equivalent SPr2Er2 tetrahedra, corners with four equivalent SPr3Er2 trigonal bipyramids, edges with five SPr4Er square pyramids, and an edgeedge with one SPr3Er2 trigonal bipyramid.

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 three equivalent MnO6 octahedra, corners with three equivalent 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 5–7°. There are a spread of Li–O bond distances ranging from 2.06–2.20 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three equivalent MnO6 octahedra, corners with three equivalent CoO6 octahedra, an edgeedge with one MnO6 octahedra, edges with three CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–8°. There are a spread of Li–O bond distances ranging from 2.10–2.39 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 four CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–6°. There are a spread of Li–O bond distances ranging from 2.13–2.39 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six CoO6 octahedra, edges with 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 2.11–2.22 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three equivalent MnO6 octahedra, corners with three equivalent CoO6 octahedra, edges with three MnO6 octahedra, edges with three CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–10°. There are a spread of Li–O bond distances ranging from 2.08–2.23 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three equivalent LiO6 octahedra, corners with three equivalent CoO6 octahedra, edges with two equivalent MnO6 octahedra, edges with three CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–14°. There are a spread of Li–O bond distances ranging from 2.02–2.28 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three equivalent LiO6 octahedra, corners with three equivalent CoO6 octahedra, edges with five CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–15°. There are a spread of Li–O bond distances ranging from 2.03–2.26 Å. In the eighth 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 5–10°. There are a spread of Li–O bond distances ranging from 2.09–2.19 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 equivalent CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–15°. There are four shorter (2.10 Å) and two longer (2.11 Å) Li–O bond lengths. 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 equivalent CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–10°. There are a spread of Mn–O bond distances ranging from 1.97–2.19 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 equivalent CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–8°. There are four shorter (1.98 Å) and two longer (2.21 Å) Mn–O bond lengths. There are five inequivalent Co+2.80+ sites. In the first Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent CoO6 octahedra, edges with four equivalent 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 1.98–2.10 Å. In the second Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with 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 1.99–2.09 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 two equivalent CoO6 octahedra, edges with four equivalent MnO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–8°. There are a spread of Co–O bond distances ranging from 1.94–2.19 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 CoO6 octahedra, and edges with ten LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–6°. There are a spread of Co–O bond distances ranging from 1.80–1.95 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 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 2.01–2.08 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 0–2°. In the second 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 1–7°. In the third O2- site, O2- is bonded to five Li1+ and one Co+2.80+ atom to form a mixture of distorted corner and edge-sharing OLi5Co octahedra. The corner-sharing octahedra tilt angles range from 0–5°. In the fourth 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 1–3°. In the fifth 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 0–2°. In the sixth O2- site, O2- is bonded to three Li1+, two equivalent Mn+4.50+, and one Co+2.80+ atom to form OLi3Mn2Co octahedra that share corners with six OLi3Mn2Co octahedra and edges with twelve OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. 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 OLi4Co2 octahedra and edges with twelve OLi5Co octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the eighth 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 ninth O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two equivalent Co+2.80+ atoms to form a mixture of corner and edge-sharing OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 1–2°. In the tenth O2- site, O2- is bonded to five Li1+ and one Co+2.80+ atom to form a mixture of distorted corner and edge-sharing OLi5Co octahedra. The corner-sharing octahedra tilt angles range from 0–7°. 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 1–5°. 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 corner and edge-sharing OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the thirteenth 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 0–2°. 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 OLi3Mn2Co octahedra and edges with twelve OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the fifteenth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form OLi3Co3 octahedra that share corners with six OLi4Co2 octahedra and edges with twelve OLi5Co octahedra. The corner-sharing octahedra tilt angles range from 0–3°. 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 0–3°.

36 MATERIALS SCIENCE↗

Materials Data on CeErS3 by Materials Project

ErCeS3 crystallizes in the monoclinic P2_1/m space group. The structure is three-dimensional. there are four inequivalent Er3+ sites. In the first Er3+ site, Er3+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing ErS6 octahedra. The corner-sharing octahedral tilt angles are 63°. There are a spread of Er–S bond distances ranging from 2.62–2.76 Å. In the second Er3+ site, Er3+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing ErS6 octahedra. The corner-sharing octahedral tilt angles are 63°. There are a spread of Er–S bond distances ranging from 2.64–2.77 Å. In the third Er3+ site, Er3+ is bonded to seven S2- atoms to form a mixture of distorted face, edge, and corner-sharing ErS7 pentagonal bipyramids. There are a spread of Er–S bond distances ranging from 2.72–2.95 Å. In the fourth Er3+ site, Er3+ is bonded to seven S2- atoms to form a mixture of distorted face, edge, and corner-sharing ErS7 pentagonal bipyramids. There are a spread of Er–S bond distances ranging from 2.70–2.95 Å. There are four inequivalent Ce3+ sites. In the first Ce3+ site, Ce3+ is bonded in a 7-coordinate geometry to seven S2- atoms. There are a spread of Ce–S bond distances ranging from 2.87–2.98 Å. In the second Ce3+ site, Ce3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Ce–S bond distances ranging from 2.81–3.31 Å. In the third Ce3+ site, Ce3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Ce–S bond distances ranging from 2.87–2.95 Å. In the fourth Ce3+ site, Ce3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Ce–S bond distances ranging from 2.86–3.11 Å. There are twelve inequivalent S2- sites. In the first S2- site, S2- is bonded to two equivalent Er3+ and three equivalent Ce3+ atoms to form distorted SCe3Er2 trigonal bipyramids that share corners with six SCe4Er square pyramids, corners with two equivalent SCe2Er2 tetrahedra, corners with two equivalent SCe2Er2 trigonal pyramids, edges with four SCe4Er square pyramids, edges with four equivalent SCe3Er2 trigonal bipyramids, and an edgeedge with one SCe2Er2 trigonal pyramid. In the second S2- site, S2- is bonded to two equivalent Er3+ and two Ce3+ atoms to form distorted SCe2Er2 trigonal pyramids that share corners with two equivalent SCe4Er square pyramids, corners with two equivalent SCe2Er2 tetrahedra, corners with six SCe3Er2 trigonal bipyramids, corners with two equivalent SCe2Er2 trigonal pyramids, edges with two equivalent SCe4Er square pyramids, and edges with three SCe3Er2 trigonal bipyramids. In the third S2- site, S2- is bonded in a 4-coordinate geometry to two equivalent Er3+ and two Ce3+ atoms. In the fourth S2- site, S2- is bonded to four Er3+ and one Ce3+ atom to form distorted SCeEr4 trigonal bipyramids that share corners with two equivalent SCe2Er2 tetrahedra, corners with six SCe2Er3 trigonal bipyramids, edges with two equivalent SCe4Er square pyramids, and edges with five SCeEr4 trigonal bipyramids. In the fifth S2- site, S2- is bonded to three equivalent Er3+ and two equivalent Ce3+ atoms to form distorted SCe2Er3 trigonal bipyramids that share corners with four equivalent SCe4Er square pyramids, corners with six SCeEr4 trigonal bipyramids, corners with two equivalent SCe2Er2 trigonal pyramids, edges with six SCe2Er3 trigonal bipyramids, and a faceface with one SCe4Er square pyramid. In the sixth S2- site, S2- is bonded to one Er3+ and four Ce3+ atoms to form distorted SCe4Er square pyramids that share corners with two equivalent SCe2Er3 square pyramids, a cornercorner with one SCe2Er2 tetrahedra, corners with six SCe3Er2 trigonal bipyramids, edges with three SCe4Er square pyramids, edges with five SCe3Er2 trigonal bipyramids, and edges with two equivalent SCe2Er2 trigonal pyramids. In the seventh S2- site, S2- is bonded to two Er3+ and two equivalent Ce3+ atoms to form SCe2Er2 tetrahedra that share corners with six SCe4Er square pyramids, corners with two equivalent SCe2Er2 tetrahedra, corners with six SCe3Er2 trigonal bipyramids, corners with two equivalent SCe2Er2 trigonal pyramids, an edgeedge with one SCe4Er square pyramid, and an edgeedge with one SCe4Er trigonal bipyramid. In the eighth S2- site, S2- is bonded in a 5-coordinate geometry to four Er3+ and one Ce3+ atom. In the ninth S2- site, S2- is bonded to one Er3+ and four Ce3+ atoms to form distorted SCe4Er trigonal bipyramids that share corners with four SCe4Er square pyramids, corners with two equivalent SCe2Er2 tetrahedra, corners with two equivalent SCe4Er trigonal bipyramids, corners with two equivalent SCe2Er2 trigonal pyramids, edges with two SCe4Er square pyramids, an edgeedge with one SCe2Er2 tetrahedra, edges with four SCeEr4 trigonal bipyramids, and a faceface with one SCe4Er trigonal bipyramid. In the tenth S2- site, S2- is bonded to one Er3+ and four Ce3+ atoms to form distorted SCe4Er trigonal bipyramids that share corners with four SCe4Er square pyramids, corners with six SCeEr4 trigonal bipyramids, edges with two SCe4Er square pyramids, edges with three SCe2Er3 trigonal bipyramids, edges with two equivalent SCe2Er2 trigonal pyramids, and a faceface with one SCe4Er trigonal bipyramid. In the eleventh S2- site, S2- is bonded to one Er3+ and four Ce3+ atoms to form distorted SCe4Er square pyramids that share corners with two equivalent SCe2Er2 tetrahedra, corners with eight SCe2Er3 trigonal bipyramids, corners with two equivalent SCe2Er2 trigonal pyramids, edges with two equivalent SCe4Er square pyramids, an edgeedge with one SCe2Er2 tetrahedra, edges with four SCeEr4 trigonal bipyramids, and a faceface with one SCe2Er3 trigonal bipyramid. In the twelfth S2- site, S2- is bonded to three equivalent Er3+ and two equivalent Ce3+ atoms to form distorted SCe2Er3 square pyramids that share corners with two equivalent SCe4Er square pyramids, corners with three equivalent SCe2Er2 tetrahedra, corners with four equivalent SCe3Er2 trigonal bipyramids, edges with five SCe4Er square pyramids, and an edgeedge with one SCe3Er2 trigonal bipyramid.

36 MATERIALS SCIENCE↗

Materials Data on NbNi6Mo by Materials Project

NbMoNi6 is beta Cu3Ti-derived structured and crystallizes in the orthorhombic Pmm2 space group. The structure is three-dimensional. Nb is bonded to twelve Ni atoms to form NbNi12 cuboctahedra that share corners with two equivalent NbNi12 cuboctahedra, corners with sixteen NiNb2Ni8Mo2 cuboctahedra, edges with two equivalent NbNi12 cuboctahedra, edges with four equivalent MoNi12 cuboctahedra, edges with twelve NiNb2Ni8Mo2 cuboctahedra, faces with two equivalent NbNi12 cuboctahedra, faces with four equivalent MoNi12 cuboctahedra, and faces with fourteen NiNb2Ni8Mo2 cuboctahedra. There are a spread of Nb–Ni bond distances ranging from 2.53–2.63 Å. Mo is bonded to twelve Ni atoms to form MoNi12 cuboctahedra that share corners with two equivalent MoNi12 cuboctahedra, corners with sixteen NiNb2Ni8Mo2 cuboctahedra, edges with two equivalent MoNi12 cuboctahedra, edges with four equivalent NbNi12 cuboctahedra, edges with twelve NiNb2Ni8Mo2 cuboctahedra, faces with two equivalent MoNi12 cuboctahedra, faces with four equivalent NbNi12 cuboctahedra, and faces with fourteen NiNb2Ni8Mo2 cuboctahedra. There are a spread of Mo–Ni bond distances ranging from 2.53–2.60 Å. There are four inequivalent Ni sites. In the first Ni site, Ni is bonded to two equivalent Nb, two equivalent Mo, and eight Ni atoms to form distorted NiNb2Ni8Mo2 cuboctahedra that share corners with eight equivalent NbNi12 cuboctahedra, corners with ten NiNb2Ni8Mo2 cuboctahedra, edges with eighteen NiNb2Ni8Mo2 cuboctahedra, faces with two equivalent NbNi12 cuboctahedra, faces with four equivalent MoNi12 cuboctahedra, and faces with fourteen NiNb2Ni8Mo2 cuboctahedra. There are two shorter (2.55 Å) and six longer (2.59 Å) Ni–Ni bond lengths. In the second Ni site, Ni is bonded to two equivalent Nb, two equivalent Mo, and eight Ni atoms to form distorted NiNb2Ni8Mo2 cuboctahedra that share corners with eight equivalent MoNi12 cuboctahedra, corners with ten NiNb2Ni8Mo2 cuboctahedra, edges with eighteen NiNb2Ni8Mo2 cuboctahedra, faces with two equivalent MoNi12 cuboctahedra, faces with four equivalent NbNi12 cuboctahedra, and faces with fourteen NiNb2Ni8Mo2 cuboctahedra. There are a spread of Ni–Ni bond distances ranging from 2.51–2.69 Å. In the third Ni site, Ni is bonded to two equivalent Nb, two equivalent Mo, and eight Ni atoms to form distorted NiNb2Ni8Mo2 cuboctahedra that share corners with four equivalent MoNi12 cuboctahedra, corners with fourteen NiNb2Ni8Mo2 cuboctahedra, edges with two equivalent MoNi12 cuboctahedra, edges with four equivalent NbNi12 cuboctahedra, edges with twelve NiNb2Ni8Mo2 cuboctahedra, faces with two equivalent NbNi12 cuboctahedra, faces with two equivalent MoNi12 cuboctahedra, and faces with sixteen NiNb2Ni8Mo2 cuboctahedra. There are a spread of Ni–Ni bond distances ranging from 2.48–2.58 Å. In the fourth Ni site, Ni is bonded to two equivalent Nb, two equivalent Mo, and eight Ni atoms to form distorted NiNb2Ni8Mo2 cuboctahedra that share corners with four equivalent NbNi12 cuboctahedra, corners with fourteen NiNb2Ni8Mo2 cuboctahedra, edges with two equivalent NbNi12 cuboctahedra, edges with four equivalent MoNi12 cuboctahedra, edges with twelve NiNb2Ni8Mo2 cuboctahedra, faces with two equivalent NbNi12 cuboctahedra, faces with two equivalent MoNi12 cuboctahedra, and faces with sixteen NiNb2Ni8Mo2 cuboctahedra. There are one shorter (2.47 Å) and one longer (2.59 Å) Ni–Ni bond lengths.

36 MATERIALS SCIENCE↗

Materials Data on Li9Mn2Co5O16 by Materials Project

Li9Mn2Co5O16 is Caswellsilverite-derived structured and crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are nine inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three equivalent MnO6 octahedra, corners with three equivalent 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 5–8°. There are a spread of Li–O bond distances ranging from 2.11–2.20 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three equivalent MnO6 octahedra, corners with three equivalent CoO6 octahedra, an edgeedge with one MnO6 octahedra, edges with three 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 2.13–2.36 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 four CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–7°. There are a spread of Li–O bond distances ranging from 2.13–2.39 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 3–10°. There are a spread of Li–O bond distances ranging from 2.11–2.20 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three equivalent MnO6 octahedra, corners with three equivalent CoO6 octahedra, edges with three MnO6 octahedra, edges with three 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 2.08–2.19 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three equivalent LiO6 octahedra, corners with three equivalent CoO6 octahedra, edges with two equivalent MnO6 octahedra, edges with three CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–14°. There are a spread of Li–O bond distances ranging from 1.99–2.26 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three equivalent LiO6 octahedra, corners with three equivalent CoO6 octahedra, edges with five CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–15°. There are a spread of Li–O bond distances ranging from 2.02–2.28 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six CoO6 octahedra, edges with 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 2.08–2.21 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 equivalent CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–15°. There are a spread of Li–O bond distances ranging from 2.09–2.13 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 equivalent CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–10°. There are a spread of Mn–O bond distances ranging from 1.96–2.20 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 equivalent CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–12°. There are a spread of Mn–O bond distances ranging from 1.97–2.20 Å. There are five inequivalent Co+2.80+ sites. In the first Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent CoO6 octahedra, edges with four equivalent MnO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–9°. There are a spread of Co–O bond distances ranging from 1.93–2.19 Å. In the second Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 3–8°. There are a spread of Co–O bond distances ranging from 1.98–2.10 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 CoO6 octahedra, edges with four equivalent MnO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedral tilt angles are 8°. There are a spread of Co–O bond distances ranging from 1.93–2.19 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 CoO6 octahedra, and edges with ten LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–6°. There are a spread of Co–O bond distances ranging from 1.82–1.94 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 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 2.00–2.10 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 0–2°. In the second O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two equivalent Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 1–9°. In the third O2- site, O2- is bonded to five Li1+ and one Co+2.80+ atom to form a mixture of distorted edge and corner-sharing OLi5Co octahedra. The corner-sharing octahedra tilt angles range from 0–5°. In the fourth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–4°. In the fifth O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two equivalent Co+2.80+ atoms to form OLi3MnCo2 octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 0–1°. In the sixth O2- site, O2- is bonded to three Li1+, two equivalent Mn+4.50+, and one Co+2.80+ atom to form OLi3Mn2Co octahedra that share corners with six OLi3Mn2Co octahedra and edges with twelve OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 1–3°. 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 OLi4Co2 octahedra and edges with twelve OLi5Co octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the eighth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–3°. In the ninth O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two equivalent Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. In the tenth O2- site, O2- is bonded to five Li1+ and one Co+2.80+ atom to form a mixture of distorted edge and corner-sharing OLi5Co octahedra. The corner-sharing octahedra tilt angles range from 0–9°. 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 1–5°. In the twelfth O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two equivalent Co+2.80+ atoms to form OLi3MnCo2 octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the thirteenth 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 0–1°. 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 OLi3Mn2Co octahedra and edges with twelve OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the fifteenth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form OLi3Co3 octahedra that share corners with six OLi4Co2 octahedra and edges with twelve OLi5Co octahedra. The corner-sharing octahedra tilt angles range from 1–4°. In the sixteenth O2- site, O2- is bonded to three Li1+, two equivalent Mn+4.50+, and one Co+2.80+ atom to form a mixture of edge and corner-sharing OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 0–3°.

36 MATERIALS SCIENCE↗

Materials Data on Li4FeCu3(PO4)4 by Materials Project

Li4FeCu3(PO4)4 is Hausmannite-derived structured and crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are two inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with four CuO6 pentagonal pyramids, corners with two PO4 tetrahedra, an edgeedge with one FeO6 octahedra, an edgeedge with one CuO6 octahedra, edges with two equivalent LiO6 octahedra, and edges with two PO4 tetrahedra. There are a spread of Li–O bond distances ranging from 2.08–2.33 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with two equivalent CuO6 octahedra, corners with two PO4 tetrahedra, edges with two equivalent LiO6 octahedra, edges with two CuO6 pentagonal pyramids, and edges with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 55–71°. There are a spread of Li–O bond distances ranging from 2.08–2.24 Å. Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with four equivalent LiO6 octahedra, corners with four equivalent CuO6 pentagonal pyramids, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 55–68°. There are a spread of Fe–O bond distances ranging from 1.98–2.12 Å. There are three inequivalent Cu+1.67+ sites. In the first Cu+1.67+ site, Cu+1.67+ is bonded to six O2- atoms to form distorted CuO6 octahedra that share corners with four equivalent LiO6 octahedra, corners with four equivalent CuO6 pentagonal pyramids, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 57–71°. There are a spread of Cu–O bond distances ranging from 2.06–2.33 Å. In the second Cu+1.67+ site, Cu+1.67+ is bonded to six O2- atoms to form distorted CuO6 pentagonal pyramids that share corners with four equivalent LiO6 octahedra, corners with four equivalent FeO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 50–75°. There are a spread of Cu–O bond distances ranging from 2.00–2.45 Å. In the third Cu+1.67+ site, Cu+1.67+ is bonded to six O2- atoms to form distorted CuO6 pentagonal pyramids that share corners with four equivalent LiO6 octahedra, corners with four equivalent CuO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–70°. There are a spread of Cu–O bond distances ranging from 2.04–2.37 Å. There are four inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one FeO6 octahedra, corners with two equivalent LiO6 octahedra, corners with two equivalent CuO6 octahedra, a cornercorner with one CuO6 pentagonal pyramid, edges with two equivalent LiO6 octahedra, and an edgeedge with one CuO6 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 50–56°. There are a spread of P–O bond distances ranging from 1.54–1.59 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one FeO6 octahedra, corners with two equivalent LiO6 octahedra, corners with three CuO6 pentagonal pyramids, an edgeedge with one FeO6 octahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 51–60°. There is two shorter (1.54 Å) and two longer (1.57 Å) P–O bond length. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one CuO6 octahedra, corners with two equivalent LiO6 octahedra, corners with three CuO6 pentagonal pyramids, an edgeedge with one CuO6 octahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 56–60°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one CuO6 octahedra, corners with two equivalent LiO6 octahedra, corners with two equivalent FeO6 octahedra, a cornercorner with one CuO6 pentagonal pyramid, edges with two equivalent LiO6 octahedra, and an edgeedge with one CuO6 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 49–58°. There are a spread of P–O bond distances ranging from 1.54–1.58 Å. There are twelve inequivalent O2- sites. In the first O2- site, O2- is bonded in a rectangular see-saw-like geometry to two equivalent Li1+, one Fe3+, and one P5+ atom. In the second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Cu+1.67+, and one P5+ atom. In the third O2- site, O2- is bonded to two equivalent Li1+, one Cu+1.67+, and one P5+ atom to form distorted corner-sharing OLi2CuP tetrahedra. In the fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two equivalent Li1+, one Cu+1.67+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Fe3+, one Cu+1.67+, and one P5+ atom. In the sixth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two equivalent Li1+, one Cu+1.67+, and one P5+ atom. In the seventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to two equivalent Li1+, one Cu+1.67+, and one P5+ atom. In the eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Cu+1.67+, and one P5+ atom. In the ninth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two equivalent Li1+, one Fe3+, and one P5+ atom. In the tenth O2- site, O2- is bonded to two equivalent Li1+, one Cu+1.67+, and one P5+ atom to form distorted corner-sharing OLi2CuP trigonal pyramids. In the eleventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Fe3+, one Cu+1.67+, and one P5+ atom. In the twelfth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two equivalent Li1+, one Cu+1.67+, and one P5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Mn2CrAs3 by Materials Project

CrMn2As3 is Modderite-derived structured and crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are four inequivalent Cr5+ sites. In the first Cr5+ site, Cr5+ is bonded to six As3- atoms to form distorted CrAs6 octahedra that share corners with four equivalent CrAs6 octahedra, corners with eight MnAs6 octahedra, edges with two equivalent CrAs6 octahedra, edges with four MnAs6 octahedra, and faces with two equivalent CrAs6 octahedra. The corner-sharing octahedra tilt angles range from 44–57°. There are a spread of Cr–As bond distances ranging from 2.38–2.60 Å. In the second Cr5+ site, Cr5+ is bonded to six As3- atoms to form distorted CrAs6 octahedra that share corners with twelve MnAs6 octahedra, edges with two equivalent CrAs6 octahedra, edges with four MnAs6 octahedra, and faces with two equivalent MnAs6 octahedra. The corner-sharing octahedra tilt angles range from 44–58°. There are a spread of Cr–As bond distances ranging from 2.38–2.59 Å. In the third Cr5+ site, Cr5+ is bonded to six As3- atoms to form distorted CrAs6 octahedra that share corners with twelve MnAs6 octahedra, edges with two equivalent CrAs6 octahedra, edges with four MnAs6 octahedra, and faces with two equivalent MnAs6 octahedra. The corner-sharing octahedra tilt angles range from 44–58°. There are a spread of Cr–As bond distances ranging from 2.38–2.59 Å. In the fourth Cr5+ site, Cr5+ is bonded to six As3- atoms to form distorted CrAs6 octahedra that share corners with four equivalent CrAs6 octahedra, corners with eight MnAs6 octahedra, edges with two equivalent CrAs6 octahedra, edges with four MnAs6 octahedra, and faces with two equivalent CrAs6 octahedra. The corner-sharing octahedra tilt angles range from 44–58°. There are a spread of Cr–As bond distances ranging from 2.39–2.60 Å. There are eight inequivalent Mn2+ sites. In the first Mn2+ site, Mn2+ is bonded to six As3- atoms to form distorted MnAs6 octahedra that share corners with four equivalent CrAs6 octahedra, corners with eight MnAs6 octahedra, edges with six MnAs6 octahedra, and faces with two equivalent CrAs6 octahedra. The corner-sharing octahedra tilt angles range from 44–58°. There are a spread of Mn–As bond distances ranging from 2.37–2.61 Å. In the second Mn2+ site, Mn2+ is bonded to six As3- atoms to form distorted MnAs6 octahedra that share corners with four equivalent CrAs6 octahedra, corners with eight MnAs6 octahedra, edges with six MnAs6 octahedra, and faces with two equivalent CrAs6 octahedra. The corner-sharing octahedra tilt angles range from 44–58°. There are a spread of Mn–As bond distances ranging from 2.37–2.61 Å. In the third Mn2+ site, Mn2+ is bonded to six As3- atoms to form distorted MnAs6 octahedra that share corners with four equivalent CrAs6 octahedra, corners with eight MnAs6 octahedra, edges with two equivalent MnAs6 octahedra, edges with four CrAs6 octahedra, and faces with two equivalent MnAs6 octahedra. The corner-sharing octahedra tilt angles range from 44–58°. There are a spread of Mn–As bond distances ranging from 2.37–2.60 Å. In the fourth Mn2+ site, Mn2+ is bonded to six As3- atoms to form distorted MnAs6 octahedra that share corners with four equivalent CrAs6 octahedra, corners with eight MnAs6 octahedra, edges with two equivalent MnAs6 octahedra, edges with four CrAs6 octahedra, and faces with two equivalent MnAs6 octahedra. The corner-sharing octahedra tilt angles range from 44–58°. There are a spread of Mn–As bond distances ranging from 2.38–2.59 Å. In the fifth Mn2+ site, Mn2+ is bonded to six As3- atoms to form distorted MnAs6 octahedra that share corners with twelve MnAs6 octahedra, edges with two equivalent MnAs6 octahedra, edges with four CrAs6 octahedra, and faces with two equivalent MnAs6 octahedra. The corner-sharing octahedra tilt angles range from 44–58°. There are a spread of Mn–As bond distances ranging from 2.37–2.60 Å. In the sixth Mn2+ site, Mn2+ is bonded to six As3- atoms to form distorted MnAs6 octahedra that share corners with four equivalent MnAs6 octahedra, corners with eight CrAs6 octahedra, edges with two equivalent CrAs6 octahedra, edges with four MnAs6 octahedra, and faces with two equivalent MnAs6 octahedra. The corner-sharing octahedra tilt angles range from 44–58°. There are a spread of Mn–As bond distances ranging from 2.37–2.62 Å. In the seventh Mn2+ site, Mn2+ is bonded to six As3- atoms to form distorted MnAs6 octahedra that share corners with four equivalent MnAs6 octahedra, corners with eight CrAs6 octahedra, edges with two equivalent CrAs6 octahedra, edges with four MnAs6 octahedra, and faces with two equivalent MnAs6 octahedra. The corner-sharing octahedra tilt angles range from 44–57°. There are a spread of Mn–As bond distances ranging from 2.39–2.56 Å. In the eighth Mn2+ site, Mn2+ is bonded to six As3- atoms to form distorted MnAs6 octahedra that share corners with four equivalent MnAs6 octahedra, corners with eight CrAs6 octahedra, edges with six MnAs6 octahedra, and faces with two equivalent MnAs6 octahedra. The corner-sharing octahedra tilt angles range from 44–58°. There are a spread of Mn–As bond distances ranging from 2.37–2.59 Å. There are twelve inequivalent As3- sites. In the first As3- site, As3- is bonded in a 6-coordinate geometry to one Cr5+ and five Mn2+ atoms. In the second As3- site, As3- is bonded in a 6-coordinate geometry to two Cr5+ and four Mn2+ atoms. In the third As3- site, As3- is bonded in a 6-coordinate geometry to one Cr5+ and five Mn2+ atoms. In the fourth As3- site, As3- is bonded in a 6-coordinate geometry to two Cr5+ and four Mn2+ atoms. In the fifth As3- site, As3- is bonded in a 6-coordinate geometry to one Cr5+ and five Mn2+ atoms. In the sixth As3- site, As3- is bonded in a 6-coordinate geometry to one Cr5+ and five Mn2+ atoms. In the seventh As3- site, As3- is bonded in a 6-coordinate geometry to four Cr5+ and two Mn2+ atoms. In the eighth As3- site, As3- is bonded in a 6-coordinate geometry to two equivalent Cr5+ and four Mn2+ atoms. In the ninth As3- site, As3- is bonded in a 6-coordinate geometry to two equivalent Cr5+ and four Mn2+ atoms. In the tenth As3- site, As3- is bonded in a 6-coordinate geometry to four Cr5+ and two Mn2+ atoms. In the eleventh As3- site, As3- is bonded in a 6-coordinate geometry to two equivalent Cr5+ and four Mn2+ atoms. In the twelfth As3- site, As3- is bonded in a 6-coordinate geometry to two equivalent Cr5+ and four Mn2+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on NaCaMg6 by Materials Project

NaCaMg6 is beta Cu3Ti-derived structured and crystallizes in the orthorhombic Amm2 space group. The structure is three-dimensional. Na is bonded to two equivalent Ca and ten Mg atoms to form NaCa2Mg10 cuboctahedra that share corners with six equivalent NaCa2Mg10 cuboctahedra, corners with twelve MgNa2Mg10 cuboctahedra, edges with four equivalent CaNa2Mg10 cuboctahedra, edges with fourteen MgNa2Mg10 cuboctahedra, faces with two equivalent NaCa2Mg10 cuboctahedra, faces with two equivalent CaNa2Mg10 cuboctahedra, and faces with sixteen MgNa2Ca2Mg8 cuboctahedra. Both Na–Ca bond lengths are 3.35 Å. There are a spread of Na–Mg bond distances ranging from 3.31–3.36 Å. Ca is bonded to two equivalent Na and ten Mg atoms to form CaNa2Mg10 cuboctahedra that share corners with six equivalent CaNa2Mg10 cuboctahedra, corners with twelve MgNa2Ca2Mg8 cuboctahedra, edges with four equivalent NaCa2Mg10 cuboctahedra, edges with fourteen MgNa2Ca2Mg8 cuboctahedra, faces with two equivalent NaCa2Mg10 cuboctahedra, faces with two equivalent CaNa2Mg10 cuboctahedra, and faces with sixteen MgNa2Ca2Mg8 cuboctahedra. There are a spread of Ca–Mg bond distances ranging from 3.32–3.35 Å. There are four inequivalent Mg sites. In the first Mg site, Mg is bonded to two equivalent Na, two equivalent Ca, and eight Mg atoms to form distorted MgNa2Ca2Mg8 cuboctahedra that share corners with four equivalent CaNa2Mg10 cuboctahedra, corners with fourteen MgNa2Ca2Mg8 cuboctahedra, edges with two equivalent CaNa2Mg10 cuboctahedra, edges with four equivalent NaCa2Mg10 cuboctahedra, edges with twelve MgNa2Ca2Mg8 cuboctahedra, faces with two equivalent NaCa2Mg10 cuboctahedra, faces with two equivalent CaNa2Mg10 cuboctahedra, and faces with sixteen MgNa2Ca2Mg8 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.30–3.36 Å. In the second Mg site, Mg is bonded to two equivalent Ca and ten Mg atoms to form distorted MgCa2Mg10 cuboctahedra that share corners with four equivalent CaNa2Mg10 cuboctahedra, corners with fourteen MgNa2Ca2Mg8 cuboctahedra, edges with two equivalent CaNa2Mg10 cuboctahedra, edges with sixteen MgNa2Mg10 cuboctahedra, faces with two equivalent CaNa2Mg10 cuboctahedra, faces with six equivalent NaCa2Mg10 cuboctahedra, and faces with twelve MgNa2Ca2Mg8 cuboctahedra. There are four shorter (3.32 Å) and two longer (3.34 Å) Mg–Mg bond lengths. In the third Mg site, Mg is bonded to two equivalent Na, two equivalent Ca, and eight Mg atoms to form distorted MgNa2Ca2Mg8 cuboctahedra that share corners with four equivalent NaCa2Mg10 cuboctahedra, corners with fourteen MgNa2Mg10 cuboctahedra, edges with two equivalent NaCa2Mg10 cuboctahedra, edges with four equivalent CaNa2Mg10 cuboctahedra, edges with twelve MgNa2Ca2Mg8 cuboctahedra, faces with two equivalent NaCa2Mg10 cuboctahedra, faces with two equivalent CaNa2Mg10 cuboctahedra, and faces with sixteen MgNa2Ca2Mg8 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.31–3.34 Å. In the fourth Mg site, Mg is bonded to two equivalent Na and ten Mg atoms to form distorted MgNa2Mg10 cuboctahedra that share corners with four equivalent NaCa2Mg10 cuboctahedra, corners with fourteen MgNa2Mg10 cuboctahedra, edges with two equivalent NaCa2Mg10 cuboctahedra, edges with sixteen MgNa2Ca2Mg8 cuboctahedra, faces with two equivalent NaCa2Mg10 cuboctahedra, faces with six equivalent CaNa2Mg10 cuboctahedra, and faces with twelve MgNa2Ca2Mg8 cuboctahedra.

36 MATERIALS SCIENCE↗

Materials Data on YMg6Zr by Materials Project

Mg6YZr crystallizes in the orthorhombic Amm2 space group. The structure is three-dimensional. there are four inequivalent Mg sites. In the first Mg site, Mg is bonded to eight Mg, two equivalent Y, and two equivalent Zr atoms to form distorted MgY2Mg8Zr2 cuboctahedra that share corners with twelve equivalent MgY2Mg8Zr2 cuboctahedra, edges with four equivalent YMg12 cuboctahedra, edges with four equivalent ZrMg12 cuboctahedra, edges with sixteen MgY2Mg8Zr2 cuboctahedra, faces with two equivalent YMg12 cuboctahedra, faces with two equivalent ZrMg12 cuboctahedra, and faces with fourteen MgY2Mg8Zr2 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.16–3.35 Å. There are one shorter (3.18 Å) and one longer (3.19 Å) Mg–Y bond lengths. Both Mg–Zr bond lengths are 3.19 Å. In the second Mg site, Mg is bonded to eight Mg, two equivalent Y, and two equivalent Zr atoms to form distorted MgY2Mg8Zr2 cuboctahedra that share corners with twelve equivalent MgY2Mg8Zr2 cuboctahedra, edges with four equivalent YMg12 cuboctahedra, edges with four equivalent ZrMg12 cuboctahedra, edges with sixteen MgY2Mg8Zr2 cuboctahedra, faces with two equivalent YMg12 cuboctahedra, faces with two equivalent ZrMg12 cuboctahedra, and faces with fourteen MgY2Mg8Zr2 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.07–3.30 Å. Both Mg–Y bond lengths are 3.22 Å. Both Mg–Zr bond lengths are 3.11 Å. In the third Mg site, Mg is bonded to eight Mg, two equivalent Y, and two equivalent Zr atoms to form MgY2Mg8Zr2 cuboctahedra that share corners with twelve MgY2Mg8Zr2 cuboctahedra, edges with four equivalent YMg12 cuboctahedra, edges with four equivalent ZrMg12 cuboctahedra, edges with sixteen MgY2Mg8Zr2 cuboctahedra, faces with two equivalent YMg12 cuboctahedra, faces with two equivalent ZrMg12 cuboctahedra, and faces with fourteen MgY2Mg8Zr2 cuboctahedra. Both Mg–Y bond lengths are 3.39 Å. Both Mg–Zr bond lengths are 3.29 Å. In the fourth Mg site, Mg is bonded to eight Mg, two equivalent Y, and two equivalent Zr atoms to form MgY2Mg8Zr2 cuboctahedra that share corners with twelve MgY2Mg8Zr2 cuboctahedra, edges with four equivalent YMg12 cuboctahedra, edges with four equivalent ZrMg12 cuboctahedra, edges with sixteen MgY2Mg8Zr2 cuboctahedra, faces with two equivalent YMg12 cuboctahedra, faces with two equivalent ZrMg12 cuboctahedra, and faces with fourteen MgY2Mg8Zr2 cuboctahedra. Both Mg–Y bond lengths are 3.41 Å. Both Mg–Zr bond lengths are 3.30 Å. Y is bonded to twelve Mg atoms to form YMg12 cuboctahedra that share corners with four equivalent YMg12 cuboctahedra, corners with eight equivalent ZrMg12 cuboctahedra, edges with twenty-four MgY2Mg8Zr2 cuboctahedra, faces with two equivalent YMg12 cuboctahedra, faces with four equivalent ZrMg12 cuboctahedra, and faces with twelve MgY2Mg8Zr2 cuboctahedra. Zr is bonded to twelve Mg atoms to form ZrMg12 cuboctahedra that share corners with four equivalent ZrMg12 cuboctahedra, corners with eight equivalent YMg12 cuboctahedra, edges with twenty-four MgY2Mg8Zr2 cuboctahedra, faces with two equivalent ZrMg12 cuboctahedra, faces with four equivalent YMg12 cuboctahedra, and faces with twelve MgY2Mg8Zr2 cuboctahedra.

36 MATERIALS SCIENCE↗

Materials Data on Ba4Nd2Cu6NiO15 by Materials Project

Ba4Nd2NiCu6O15 crystallizes in the orthorhombic Imm2 space group. The structure is three-dimensional. there are four inequivalent Ba2+ sites. In the first Ba2+ site, Ba2+ is bonded in a distorted q6 geometry to ten O2- atoms. There are a spread of Ba–O bond distances ranging from 2.78–3.00 Å. In the second Ba2+ site, Ba2+ is bonded in a distorted q6 geometry to ten O2- atoms. There are a spread of Ba–O bond distances ranging from 2.79–2.98 Å. In the third Ba2+ site, Ba2+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of Ba–O bond distances ranging from 2.79–3.33 Å. In the fourth Ba2+ site, Ba2+ is bonded in a 4-coordinate geometry to ten O2- atoms. There are a spread of Ba–O bond distances ranging from 2.78–3.31 Å. There are two inequivalent Nd3+ sites. In the first Nd3+ site, Nd3+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Nd–O bond distances ranging from 2.46–2.50 Å. In the second Nd3+ site, Nd3+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Nd–O bond distances ranging from 2.47–2.51 Å. Ni4+ is bonded to five O2- atoms to form NiO5 square pyramids that share corners with four equivalent NiO5 square pyramids and a cornercorner with one CuO5 trigonal bipyramid. There are a spread of Ni–O bond distances ranging from 2.00–2.04 Å. There are six inequivalent Cu2+ sites. In the first Cu2+ site, Cu2+ is bonded to five O2- atoms to form a mixture of distorted edge and corner-sharing CuO5 trigonal bipyramids. There are a spread of Cu–O bond distances ranging from 1.99–2.12 Å. In the second Cu2+ site, Cu2+ is bonded to five O2- atoms to form distorted CuO5 trigonal bipyramids that share a cornercorner with one NiO5 square pyramid, corners with four equivalent CuO5 trigonal bipyramids, and edges with four equivalent CuO5 trigonal bipyramids. There are a spread of Cu–O bond distances ranging from 2.00–2.12 Å. In the third Cu2+ site, Cu2+ is bonded in a square co-planar geometry to four O2- atoms. There are a spread of Cu–O bond distances ranging from 1.86–1.97 Å. In the fourth Cu2+ site, Cu2+ is bonded to five O2- atoms to form corner-sharing CuO5 square pyramids. There are a spread of Cu–O bond distances ranging from 1.98–2.17 Å. In the fifth Cu2+ site, Cu2+ is bonded to five O2- atoms to form corner-sharing CuO5 square pyramids. There are a spread of Cu–O bond distances ranging from 1.98–2.18 Å. In the sixth Cu2+ site, Cu2+ is bonded to five O2- atoms to form corner-sharing CuO5 square pyramids. There are a spread of Cu–O bond distances ranging from 1.98–2.20 Å. There are fifteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a 6-coordinate geometry to two equivalent Ba2+, two equivalent Nd3+, and two equivalent Cu2+ atoms. In the second O2- site, O2- is bonded in a 6-coordinate geometry to two equivalent Ba2+, two equivalent Nd3+, and two equivalent Cu2+ atoms. In the third O2- site, O2- is bonded to four equivalent Ba2+ and two Cu2+ atoms to form a mixture of distorted face, edge, and corner-sharing OBa4Cu2 octahedra. The corner-sharing octahedra tilt angles range from 0–65°. In the fourth O2- site, O2- is bonded to four equivalent Ba2+ and two Cu2+ atoms to form a mixture of distorted face, edge, and corner-sharing OBa4Cu2 octahedra. The corner-sharing octahedra tilt angles range from 0–66°. In the fifth O2- site, O2- is bonded in a distorted see-saw-like geometry to two equivalent Ba2+ and four Cu2+ atoms. In the sixth O2- site, O2- is bonded in a distorted see-saw-like geometry to two equivalent Ba2+ and four Cu2+ atoms. In the seventh O2- site, O2- is bonded to four equivalent Ba2+ and two Cu2+ atoms to form a mixture of distorted edge and corner-sharing OBa4Cu2 octahedra. The corner-sharing octahedral tilt angles are 10°. In the eighth O2- site, O2- is bonded to four equivalent Ba2+, one Ni4+, and one Cu2+ atom to form a mixture of distorted edge and corner-sharing OBa4CuNi octahedra. The corner-sharing octahedral tilt angles are 8°. In the ninth O2- site, O2- is bonded in a 6-coordinate geometry to two equivalent Ba2+, two equivalent Nd3+, and two equivalent Cu2+ atoms. In the tenth O2- site, O2- is bonded in a 6-coordinate geometry to two equivalent Ba2+, two equivalent Nd3+, and two equivalent Ni4+ atoms. In the eleventh O2- site, O2- is bonded in a 6-coordinate geometry to two equivalent Ba2+, two equivalent Nd3+, and two equivalent Cu2+ atoms. In the twelfth O2- site, O2- is bonded in a 6-coordinate geometry to two equivalent Ba2+, two equivalent Nd3+, and two equivalent Cu2+ atoms. In the thirteenth O2- site, O2- is bonded in a 6-coordinate geometry to two equivalent Ba2+, two equivalent Nd3+, and two equivalent Cu2+ atoms. In the fourteenth O2- site, O2- is bonded in a 6-coordinate geometry to two equivalent Ba2+, two equivalent Nd3+, and two equivalent Ni4+ atoms. In the fifteenth O2- site, O2- is bonded to four Ba2+ and two equivalent Cu2+ atoms to form a mixture of distorted face, edge, and corner-sharing OBa4Cu2 octahedra. The corner-sharing octahedra tilt angles range from 1–66°.

36 MATERIALS SCIENCE↗

Materials Data on PrTmS3 by Materials Project

TmPrS3 crystallizes in the monoclinic P2_1/m space group. The structure is three-dimensional. there are four inequivalent Tm3+ sites. In the first Tm3+ site, Tm3+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing TmS6 octahedra. The corner-sharing octahedral tilt angles are 61°. There are a spread of Tm–S bond distances ranging from 2.61–2.78 Å. In the second Tm3+ site, Tm3+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing TmS6 octahedra. The corner-sharing octahedral tilt angles are 61°. There are a spread of Tm–S bond distances ranging from 2.64–2.80 Å. In the third Tm3+ site, Tm3+ is bonded to seven S2- atoms to form a mixture of distorted edge, face, and corner-sharing TmS7 pentagonal bipyramids. There are a spread of Tm–S bond distances ranging from 2.71–2.97 Å. In the fourth Tm3+ site, Tm3+ is bonded to seven S2- atoms to form a mixture of distorted edge, face, and corner-sharing TmS7 pentagonal bipyramids. There are a spread of Tm–S bond distances ranging from 2.70–2.94 Å. There are four inequivalent Pr3+ sites. In the first Pr3+ site, Pr3+ is bonded in a 7-coordinate geometry to seven S2- atoms. There are a spread of Pr–S bond distances ranging from 2.89–3.04 Å. In the second Pr3+ site, Pr3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Pr–S bond distances ranging from 2.85–3.34 Å. In the third Pr3+ site, Pr3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Pr–S bond distances ranging from 2.92–2.99 Å. In the fourth Pr3+ site, Pr3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Pr–S bond distances ranging from 2.90–3.12 Å. There are twelve inequivalent S2- sites. In the first S2- site, S2- is bonded to two equivalent Tm3+ and three equivalent Pr3+ atoms to form distorted SPr3Tm2 trigonal bipyramids that share corners with six SPr4Tm square pyramids, corners with two equivalent SPr2Tm2 tetrahedra, corners with two equivalent SPr2Tm2 trigonal pyramids, edges with four SPr4Tm square pyramids, edges with four equivalent SPr3Tm2 trigonal bipyramids, and an edgeedge with one SPr2Tm2 trigonal pyramid. In the second S2- site, S2- is bonded to two equivalent Tm3+ and two Pr3+ atoms to form distorted SPr2Tm2 trigonal pyramids that share corners with two equivalent SPr4Tm square pyramids, corners with two equivalent SPr2Tm2 tetrahedra, corners with six SPr3Tm2 trigonal bipyramids, corners with two equivalent SPr2Tm2 trigonal pyramids, edges with two equivalent SPr4Tm square pyramids, and edges with three SPr3Tm2 trigonal bipyramids. In the third S2- site, S2- is bonded in a 4-coordinate geometry to two equivalent Tm3+ and two Pr3+ atoms. In the fourth S2- site, S2- is bonded in a 5-coordinate geometry to four Tm3+ and one Pr3+ atom. In the fifth S2- site, S2- is bonded to three equivalent Tm3+ and two equivalent Pr3+ atoms to form distorted SPr2Tm3 trigonal bipyramids that share corners with four equivalent SPr4Tm square pyramids, corners with two equivalent SPr4Tm trigonal bipyramids, corners with two equivalent SPr2Tm2 trigonal pyramids, edges with five SPr2Tm3 trigonal bipyramids, and a faceface with one SPr4Tm square pyramid. In the sixth S2- site, S2- is bonded to one Tm3+ and four Pr3+ atoms to form distorted SPr4Tm square pyramids that share corners with two equivalent SPr2Tm3 square pyramids, a cornercorner with one SPr2Tm2 tetrahedra, corners with six SPr3Tm2 trigonal bipyramids, edges with three SPr4Tm square pyramids, edges with five SPr3Tm2 trigonal bipyramids, and edges with two equivalent SPr2Tm2 trigonal pyramids. In the seventh S2- site, S2- is bonded to two Tm3+ and two equivalent Pr3+ atoms to form distorted SPr2Tm2 tetrahedra that share corners with six SPr4Tm square pyramids, corners with two equivalent SPr2Tm2 tetrahedra, corners with four SPr3Tm2 trigonal bipyramids, corners with two equivalent SPr2Tm2 trigonal pyramids, an edgeedge with one SPr4Tm square pyramid, and an edgeedge with one SPr4Tm trigonal bipyramid. In the eighth S2- site, S2- is bonded in a 5-coordinate geometry to four Tm3+ and one Pr3+ atom. In the ninth S2- site, S2- is bonded to one Tm3+ and four Pr3+ atoms to form distorted SPr4Tm trigonal bipyramids that share corners with four SPr4Tm square pyramids, corners with two equivalent SPr2Tm2 tetrahedra, corners with two equivalent SPr4Tm trigonal bipyramids, corners with two equivalent SPr2Tm2 trigonal pyramids, edges with two SPr4Tm square pyramids, an edgeedge with one SPr2Tm2 tetrahedra, edges with two equivalent SPr4Tm trigonal bipyramids, and a faceface with one SPr4Tm trigonal bipyramid. In the tenth S2- site, S2- is bonded to one Tm3+ and four Pr3+ atoms to form distorted SPr4Tm trigonal bipyramids that share corners with four SPr4Tm square pyramids, corners with four SPr2Tm3 trigonal bipyramids, edges with two SPr4Tm square pyramids, edges with three SPr2Tm3 trigonal bipyramids, edges with two equivalent SPr2Tm2 trigonal pyramids, and a faceface with one SPr4Tm trigonal bipyramid. In the eleventh S2- site, S2- is bonded to one Tm3+ and four Pr3+ atoms to form distorted SPr4Tm square pyramids that share corners with two equivalent SPr2Tm2 tetrahedra, corners with eight SPr2Tm3 trigonal bipyramids, corners with two equivalent SPr2Tm2 trigonal pyramids, edges with two equivalent SPr4Tm square pyramids, an edgeedge with one SPr2Tm2 tetrahedra, edges with two SPr4Tm trigonal bipyramids, and a faceface with one SPr2Tm3 trigonal bipyramid. In the twelfth S2- site, S2- is bonded to three equivalent Tm3+ and two equivalent Pr3+ atoms to form distorted SPr2Tm3 square pyramids that share corners with two equivalent SPr4Tm square pyramids, corners with three equivalent SPr2Tm2 tetrahedra, corners with four equivalent SPr3Tm2 trigonal bipyramids, edges with five SPr4Tm square pyramids, and an edgeedge with one SPr3Tm2 trigonal bipyramid.

36 MATERIALS SCIENCE↗

Materials Data on ZrTi2Al by Materials Project

Ti2ZrAl is beta-derived structured and crystallizes in the orthorhombic Amm2 space group. The structure is three-dimensional. Zr is bonded to two equivalent Zr, six Ti, and four Al atoms to form ZrZr2Ti6Al4 cuboctahedra that share corners with four equivalent TiZr4Ti4Al4 cuboctahedra, corners with four equivalent AlZr4Ti8 cuboctahedra, corners with ten equivalent ZrZr2Ti6Al4 cuboctahedra, edges with two equivalent ZrZr2Ti6Al4 cuboctahedra, edges with six AlZr4Ti8 cuboctahedra, edges with ten TiZr4Ti4Al4 cuboctahedra, faces with four equivalent ZrZr2Ti6Al4 cuboctahedra, faces with four AlZr4Ti8 cuboctahedra, and faces with twelve TiZr4Ti4Al4 cuboctahedra. There are one shorter (2.96 Å) and one longer (2.98 Å) Zr–Zr bond lengths. There are a spread of Zr–Ti bond distances ranging from 2.93–3.00 Å. There are a spread of Zr–Al bond distances ranging from 2.95–2.97 Å. There are three inequivalent Ti sites. In the first Ti site, Ti is bonded to four equivalent Zr, four equivalent Ti, and four Al atoms to form TiZr4Ti4Al4 cuboctahedra that share corners with four equivalent AlZr4Ti8 cuboctahedra, corners with six equivalent TiZr4Ti4Al4 cuboctahedra, corners with eight equivalent ZrZr2Ti6Al4 cuboctahedra, edges with four equivalent ZrZr2Ti6Al4 cuboctahedra, edges with six AlZr4Ti8 cuboctahedra, edges with eight equivalent TiZr2Ti6Al4 cuboctahedra, faces with four equivalent ZrZr2Ti6Al4 cuboctahedra, faces with four AlZr4Ti8 cuboctahedra, and faces with twelve TiZr4Ti4Al4 cuboctahedra. All Ti–Ti bond lengths are 2.95 Å. There are two shorter (2.90 Å) and two longer (2.97 Å) Ti–Al bond lengths. In the second Ti site, Ti is bonded to two equivalent Zr, six Ti, and four Al atoms to form distorted TiZr2Ti6Al4 cuboctahedra that share corners with four equivalent AlZr4Ti8 cuboctahedra, corners with fourteen TiZr2Ti6Al4 cuboctahedra, edges with four equivalent ZrZr2Ti6Al4 cuboctahedra, edges with six AlZr4Ti8 cuboctahedra, edges with eight TiZr4Ti4Al4 cuboctahedra, faces with four AlZr4Ti8 cuboctahedra, faces with eight equivalent ZrZr2Ti6Al4 cuboctahedra, and faces with eight TiZr4Ti4Al4 cuboctahedra. There are a spread of Ti–Ti bond distances ranging from 2.83–3.10 Å. There are a spread of Ti–Al bond distances ranging from 2.88–3.05 Å. In the third Ti site, Ti is bonded to four equivalent Zr, four equivalent Ti, and four Al atoms to form distorted TiZr4Ti4Al4 cuboctahedra that share corners with four equivalent AlZr4Ti8 cuboctahedra, corners with fourteen TiZr2Ti6Al4 cuboctahedra, edges with four equivalent TiZr2Ti6Al4 cuboctahedra, edges with six AlZr4Ti8 cuboctahedra, edges with eight equivalent ZrZr2Ti6Al4 cuboctahedra, faces with four equivalent ZrZr2Ti6Al4 cuboctahedra, faces with four AlZr4Ti8 cuboctahedra, and faces with twelve TiZr4Ti4Al4 cuboctahedra. There are two shorter (2.90 Å) and two longer (2.97 Å) Ti–Al bond lengths. There are two inequivalent Al sites. In the first Al site, Al is bonded to four equivalent Zr and eight Ti atoms to form AlZr4Ti8 cuboctahedra that share corners with four equivalent TiZr4Ti4Al4 cuboctahedra, corners with six equivalent AlZr4Ti8 cuboctahedra, corners with eight equivalent ZrZr2Ti6Al4 cuboctahedra, edges with four equivalent ZrZr2Ti6Al4 cuboctahedra, edges with fourteen TiZr4Ti4Al4 cuboctahedra, faces with four equivalent ZrZr2Ti6Al4 cuboctahedra, faces with eight TiZr4Ti4Al4 cuboctahedra, and faces with eight AlZr4Ti8 cuboctahedra. In the second Al site, Al is bonded to four equivalent Zr and eight Ti atoms to form AlZr4Ti8 cuboctahedra that share corners with six equivalent AlZr4Ti8 cuboctahedra, corners with twelve TiZr2Ti6Al4 cuboctahedra, edges with eight equivalent ZrZr2Ti6Al4 cuboctahedra, edges with ten TiZr4Ti4Al4 cuboctahedra, faces with four equivalent ZrZr2Ti6Al4 cuboctahedra, faces with eight TiZr4Ti4Al4 cuboctahedra, and faces with eight AlZr4Ti8 cuboctahedra.

36 MATERIALS SCIENCE↗

Materials Data on TaNi6Mo by Materials Project

TaMoNi6 is beta Cu3Ti-derived structured and crystallizes in the orthorhombic Pmm2 space group. The structure is three-dimensional. Ta is bonded to twelve Ni atoms to form TaNi12 cuboctahedra that share corners with two equivalent TaNi12 cuboctahedra, corners with sixteen NiTa2Ni8Mo2 cuboctahedra, edges with two equivalent TaNi12 cuboctahedra, edges with four equivalent MoNi12 cuboctahedra, edges with twelve NiTa2Ni8Mo2 cuboctahedra, faces with two equivalent TaNi12 cuboctahedra, faces with four equivalent MoNi12 cuboctahedra, and faces with fourteen NiTa2Ni8Mo2 cuboctahedra. There are a spread of Ta–Ni bond distances ranging from 2.55–2.63 Å. Mo is bonded to twelve Ni atoms to form MoNi12 cuboctahedra that share corners with two equivalent MoNi12 cuboctahedra, corners with sixteen NiTa2Ni8Mo2 cuboctahedra, edges with two equivalent MoNi12 cuboctahedra, edges with four equivalent TaNi12 cuboctahedra, edges with twelve NiTa2Ni8Mo2 cuboctahedra, faces with two equivalent MoNi12 cuboctahedra, faces with four equivalent TaNi12 cuboctahedra, and faces with fourteen NiTa2Ni8Mo2 cuboctahedra. There are a spread of Mo–Ni bond distances ranging from 2.55–2.61 Å. There are four inequivalent Ni sites. In the first Ni site, Ni is bonded to two equivalent Ta, two equivalent Mo, and eight Ni atoms to form distorted NiTa2Ni8Mo2 cuboctahedra that share corners with eight equivalent TaNi12 cuboctahedra, corners with ten NiTa2Ni8Mo2 cuboctahedra, edges with eighteen NiTa2Ni8Mo2 cuboctahedra, faces with two equivalent TaNi12 cuboctahedra, faces with four equivalent MoNi12 cuboctahedra, and faces with fourteen NiTa2Ni8Mo2 cuboctahedra. There are two shorter (2.56 Å) and six longer (2.60 Å) Ni–Ni bond lengths. In the second Ni site, Ni is bonded to two equivalent Ta, two equivalent Mo, and eight Ni atoms to form distorted NiTa2Ni8Mo2 cuboctahedra that share corners with eight equivalent MoNi12 cuboctahedra, corners with ten NiTa2Ni8Mo2 cuboctahedra, edges with eighteen NiTa2Ni8Mo2 cuboctahedra, faces with two equivalent MoNi12 cuboctahedra, faces with four equivalent TaNi12 cuboctahedra, and faces with fourteen NiTa2Ni8Mo2 cuboctahedra. There are a spread of Ni–Ni bond distances ranging from 2.53–2.68 Å. In the third Ni site, Ni is bonded to two equivalent Ta, two equivalent Mo, and eight Ni atoms to form distorted NiTa2Ni8Mo2 cuboctahedra that share corners with four equivalent MoNi12 cuboctahedra, corners with fourteen NiTa2Ni8Mo2 cuboctahedra, edges with two equivalent MoNi12 cuboctahedra, edges with four equivalent TaNi12 cuboctahedra, edges with twelve NiTa2Ni8Mo2 cuboctahedra, faces with two equivalent TaNi12 cuboctahedra, faces with two equivalent MoNi12 cuboctahedra, and faces with sixteen NiTa2Ni8Mo2 cuboctahedra. There are a spread of Ni–Ni bond distances ranging from 2.51–2.59 Å. In the fourth Ni site, Ni is bonded to two equivalent Ta, two equivalent Mo, and eight Ni atoms to form distorted NiTa2Ni8Mo2 cuboctahedra that share corners with four equivalent TaNi12 cuboctahedra, corners with fourteen NiTa2Ni8Mo2 cuboctahedra, edges with two equivalent TaNi12 cuboctahedra, edges with four equivalent MoNi12 cuboctahedra, edges with twelve NiTa2Ni8Mo2 cuboctahedra, faces with two equivalent TaNi12 cuboctahedra, faces with two equivalent MoNi12 cuboctahedra, and faces with sixteen NiTa2Ni8Mo2 cuboctahedra. There are one shorter (2.50 Å) and one longer (2.60 Å) Ni–Ni bond lengths.

36 MATERIALS SCIENCE↗

Materials Data on Ag6SnSb by Materials Project

Ag6SnSb is beta Cu3Ti-derived structured and crystallizes in the orthorhombic Pmm2 space group. The structure is three-dimensional. there are four inequivalent Ag sites. In the first Ag site, Ag is bonded to eight Ag, two equivalent Sn, and two equivalent Sb atoms to form AgAg8Sn2Sb2 cuboctahedra that share corners with four equivalent SbAg12 cuboctahedra, corners with fourteen AgAg8Sn2Sb2 cuboctahedra, edges with two equivalent SbAg12 cuboctahedra, edges with four equivalent SnAg12 cuboctahedra, edges with twelve AgAg8Sn2Sb2 cuboctahedra, faces with two equivalent SnAg12 cuboctahedra, faces with two equivalent SbAg12 cuboctahedra, and faces with sixteen AgAg8Sn2Sb2 cuboctahedra. There are a spread of Ag–Ag bond distances ranging from 2.96–3.09 Å. Both Ag–Sn bond lengths are 3.02 Å. There are one shorter (3.02 Å) and one longer (3.09 Å) Ag–Sb bond lengths. In the second Ag site, Ag is bonded to eight Ag, two equivalent Sn, and two equivalent Sb atoms to form AgAg8Sn2Sb2 cuboctahedra that share corners with four equivalent SnAg12 cuboctahedra, corners with fourteen AgAg8Sn2Sb2 cuboctahedra, edges with two equivalent SnAg12 cuboctahedra, edges with four equivalent SbAg12 cuboctahedra, edges with twelve AgAg8Sn2Sb2 cuboctahedra, faces with two equivalent SnAg12 cuboctahedra, faces with two equivalent SbAg12 cuboctahedra, and faces with sixteen AgAg8Sn2Sb2 cuboctahedra. There are a spread of Ag–Ag bond distances ranging from 3.00–3.12 Å. There are one shorter (3.01 Å) and one longer (3.08 Å) Ag–Sn bond lengths. Both Ag–Sb bond lengths are 3.03 Å. In the third Ag site, Ag is bonded to eight Ag, two equivalent Sn, and two equivalent Sb atoms to form AgAg8Sn2Sb2 cuboctahedra that share corners with eight equivalent SnAg12 cuboctahedra, corners with ten AgAg8Sn2Sb2 cuboctahedra, edges with eighteen AgAg8Sn2Sb2 cuboctahedra, faces with two equivalent SnAg12 cuboctahedra, faces with four equivalent SbAg12 cuboctahedra, and faces with fourteen AgAg8Sn2Sb2 cuboctahedra. Both Ag–Sn bond lengths are 3.07 Å. Both Ag–Sb bond lengths are 3.02 Å. In the fourth Ag site, Ag is bonded to eight Ag, two equivalent Sn, and two equivalent Sb atoms to form AgAg8Sn2Sb2 cuboctahedra that share corners with eight equivalent SbAg12 cuboctahedra, corners with ten AgAg8Sn2Sb2 cuboctahedra, edges with eighteen AgAg8Sn2Sb2 cuboctahedra, faces with two equivalent SbAg12 cuboctahedra, faces with four equivalent SnAg12 cuboctahedra, and faces with fourteen AgAg8Sn2Sb2 cuboctahedra. Both Ag–Sn bond lengths are 3.01 Å. Both Ag–Sb bond lengths are 3.07 Å. Sn is bonded to twelve Ag atoms to form SnAg12 cuboctahedra that share corners with two equivalent SnAg12 cuboctahedra, corners with sixteen AgAg8Sn2Sb2 cuboctahedra, edges with two equivalent SnAg12 cuboctahedra, edges with four equivalent SbAg12 cuboctahedra, edges with twelve AgAg8Sn2Sb2 cuboctahedra, faces with two equivalent SnAg12 cuboctahedra, faces with four equivalent SbAg12 cuboctahedra, and faces with fourteen AgAg8Sn2Sb2 cuboctahedra. Sb is bonded to twelve Ag atoms to form SbAg12 cuboctahedra that share corners with two equivalent SbAg12 cuboctahedra, corners with sixteen AgAg8Sn2Sb2 cuboctahedra, edges with two equivalent SbAg12 cuboctahedra, edges with four equivalent SnAg12 cuboctahedra, edges with twelve AgAg8Sn2Sb2 cuboctahedra, faces with two equivalent SbAg12 cuboctahedra, faces with four equivalent SnAg12 cuboctahedra, and faces with fourteen AgAg8Sn2Sb2 cuboctahedra.

36 MATERIALS SCIENCE↗

Materials Data on LiMg6W by Materials Project

LiMg6W crystallizes in the orthorhombic Amm2 space group. The structure is three-dimensional. Li is bonded to ten Mg and two equivalent W atoms to form LiMg10W2 cuboctahedra that share corners with four equivalent WLi2Mg10 cuboctahedra, corners with six equivalent LiMg10W2 cuboctahedra, edges with two equivalent WLi2Mg10 cuboctahedra, edges with four equivalent MgLi2Mg10 cuboctahedra, faces with two equivalent LiMg10W2 cuboctahedra, faces with two equivalent MgLi2Mg10 cuboctahedra, and faces with two equivalent WLi2Mg10 cuboctahedra. There are a spread of Li–Mg bond distances ranging from 2.99–3.08 Å. Both Li–W bond lengths are 3.17 Å. There are eight inequivalent Mg sites. In the first Mg site, Mg is bonded in a 12-coordinate geometry to two equivalent Li, eight Mg, and two equivalent W atoms. There are a spread of Mg–Mg bond distances ranging from 3.04–3.22 Å. There are one shorter (3.04 Å) and one longer (3.06 Å) Mg–W bond lengths. In the second Mg site, Mg is bonded in a 12-coordinate geometry to two equivalent Li, eight Mg, and two equivalent W atoms. There are a spread of Mg–Mg bond distances ranging from 3.04–3.22 Å. There are one shorter (3.04 Å) and one longer (3.06 Å) Mg–W bond lengths. In the third Mg site, Mg is bonded in a 12-coordinate geometry to two equivalent Li, eight Mg, and two equivalent W atoms. There are a spread of Mg–Mg bond distances ranging from 2.87–3.31 Å. Both Mg–W bond lengths are 2.96 Å. In the fourth Mg site, Mg is bonded in a 12-coordinate geometry to two equivalent Li, eight Mg, and two equivalent W atoms. There are a spread of Mg–Mg bond distances ranging from 2.87–3.31 Å. Both Mg–W bond lengths are 2.96 Å. In the fifth Mg site, Mg is bonded to two equivalent Li and ten Mg atoms to form distorted MgLi2Mg10 cuboctahedra that share corners with six equivalent MgLi2Mg10 cuboctahedra, edges with four equivalent LiMg10W2 cuboctahedra, faces with two equivalent LiMg10W2 cuboctahedra, faces with two equivalent MgLi2Mg10 cuboctahedra, and faces with six equivalent WLi2Mg10 cuboctahedra. There are one shorter (3.11 Å) and two longer (3.17 Å) Mg–Mg bond lengths. In the sixth Mg site, Mg is bonded in a distorted water-like geometry to ten Mg and two equivalent W atoms. The Mg–Mg bond length is 3.24 Å. Both Mg–W bond lengths are 2.95 Å. In the seventh Mg site, Mg is bonded in a 12-coordinate geometry to two equivalent Li, eight Mg, and two equivalent W atoms. All Mg–Mg bond lengths are 3.04 Å. There are one shorter (3.04 Å) and one longer (3.06 Å) Mg–W bond lengths. In the eighth Mg site, Mg is bonded in a 12-coordinate geometry to two equivalent Li, eight Mg, and two equivalent W atoms. Both Mg–Li bond lengths are 3.03 Å. Both Mg–Mg bond lengths are 3.04 Å. Both Mg–W bond lengths are 2.96 Å. W is bonded to two equivalent Li and ten Mg atoms to form WLi2Mg10 cuboctahedra that share corners with four equivalent LiMg10W2 cuboctahedra, corners with six equivalent WLi2Mg10 cuboctahedra, edges with two equivalent LiMg10W2 cuboctahedra, faces with two equivalent LiMg10W2 cuboctahedra, faces with two equivalent WLi2Mg10 cuboctahedra, and faces with six equivalent MgLi2Mg10 cuboctahedra.

36 MATERIALS SCIENCE↗

Materials Data on LaYS3 by Materials Project

LaYS3 crystallizes in the monoclinic P2_1/m space group. The structure is three-dimensional. there are four inequivalent La3+ sites. In the first La3+ site, La3+ is bonded in a 7-coordinate geometry to seven S2- atoms. There are a spread of La–S bond distances ranging from 2.93–3.07 Å. In the second La3+ site, La3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of La–S bond distances ranging from 2.88–3.37 Å. In the third La3+ site, La3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of La–S bond distances ranging from 2.92–3.03 Å. In the fourth La3+ site, La3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of La–S bond distances ranging from 2.93–3.17 Å. There are four inequivalent Y3+ sites. In the first Y3+ site, Y3+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing YS6 octahedra. The corner-sharing octahedral tilt angles are 61°. There are a spread of Y–S bond distances ranging from 2.65–2.83 Å. In the second Y3+ site, Y3+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing YS6 octahedra. The corner-sharing octahedral tilt angles are 61°. There are a spread of Y–S bond distances ranging from 2.67–2.84 Å. In the third Y3+ site, Y3+ is bonded to seven S2- atoms to form a mixture of distorted face, edge, and corner-sharing YS7 pentagonal bipyramids. There are a spread of Y–S bond distances ranging from 2.75–3.00 Å. In the fourth Y3+ site, Y3+ is bonded to seven S2- atoms to form a mixture of distorted face, edge, and corner-sharing YS7 pentagonal bipyramids. There are a spread of Y–S bond distances ranging from 2.74–2.99 Å. There are twelve inequivalent S2- sites. In the first S2- site, S2- is bonded to three equivalent La3+ and two equivalent Y3+ atoms to form distorted SLa3Y2 trigonal bipyramids that share corners with six SLa4Y square pyramids, corners with two equivalent SLa2Y2 tetrahedra, corners with two equivalent SLa2Y2 trigonal pyramids, edges with four SLa4Y square pyramids, edges with four equivalent SLa3Y2 trigonal bipyramids, and an edgeedge with one SLa2Y2 trigonal pyramid. In the second S2- site, S2- is bonded to two La3+ and two equivalent Y3+ atoms to form distorted SLa2Y2 trigonal pyramids that share corners with two equivalent SLa4Y square pyramids, corners with two equivalent SLa2Y2 tetrahedra, corners with six SLa3Y2 trigonal bipyramids, corners with two equivalent SLa2Y2 trigonal pyramids, edges with two equivalent SLa4Y square pyramids, and edges with three SLa3Y2 trigonal bipyramids. In the third S2- site, S2- is bonded in a 4-coordinate geometry to two La3+ and two equivalent Y3+ atoms. In the fourth S2- site, S2- is bonded in a 5-coordinate geometry to one La3+ and four Y3+ atoms. In the fifth S2- site, S2- is bonded to two equivalent La3+ and three equivalent Y3+ atoms to form distorted SLa2Y3 trigonal bipyramids that share corners with four equivalent SLa4Y square pyramids, corners with two equivalent SLa4Y trigonal bipyramids, corners with two equivalent SLa2Y2 trigonal pyramids, edges with five SLa2Y3 trigonal bipyramids, and a faceface with one SLa4Y square pyramid. In the sixth S2- site, S2- is bonded to four La3+ and one Y3+ atom to form distorted SLa4Y square pyramids that share corners with two equivalent SLa2Y3 square pyramids, a cornercorner with one SLa2Y2 tetrahedra, corners with six SLa3Y2 trigonal bipyramids, edges with three SLa4Y square pyramids, edges with five SLa3Y2 trigonal bipyramids, and edges with two equivalent SLa2Y2 trigonal pyramids. In the seventh S2- site, S2- is bonded to two equivalent La3+ and two Y3+ atoms to form distorted SLa2Y2 tetrahedra that share corners with six SLa4Y square pyramids, corners with two equivalent SLa2Y2 tetrahedra, corners with four SLa3Y2 trigonal bipyramids, corners with two equivalent SLa2Y2 trigonal pyramids, an edgeedge with one SLa4Y square pyramid, and an edgeedge with one SLa4Y trigonal bipyramid. In the eighth S2- site, S2- is bonded in a 5-coordinate geometry to one La3+ and four Y3+ atoms. In the ninth S2- site, S2- is bonded to four La3+ and one Y3+ atom to form distorted SLa4Y trigonal bipyramids that share corners with four SLa4Y square pyramids, corners with two equivalent SLa2Y2 tetrahedra, corners with two equivalent SLa4Y trigonal bipyramids, corners with two equivalent SLa2Y2 trigonal pyramids, edges with two SLa4Y square pyramids, an edgeedge with one SLa2Y2 tetrahedra, edges with two equivalent SLa4Y trigonal bipyramids, and a faceface with one SLa4Y trigonal bipyramid. In the tenth S2- site, S2- is bonded to four La3+ and one Y3+ atom to form distorted SLa4Y trigonal bipyramids that share corners with four SLa4Y square pyramids, corners with four SLa2Y3 trigonal bipyramids, edges with two SLa4Y square pyramids, edges with three SLa2Y3 trigonal bipyramids, edges with two equivalent SLa2Y2 trigonal pyramids, and a faceface with one SLa4Y trigonal bipyramid. In the eleventh S2- site, S2- is bonded to four La3+ and one Y3+ atom to form distorted SLa4Y square pyramids that share corners with two equivalent SLa2Y2 tetrahedra, corners with eight SLa2Y3 trigonal bipyramids, corners with two equivalent SLa2Y2 trigonal pyramids, edges with two equivalent SLa4Y square pyramids, an edgeedge with one SLa2Y2 tetrahedra, edges with two SLa4Y trigonal bipyramids, and a faceface with one SLa2Y3 trigonal bipyramid. In the twelfth S2- site, S2- is bonded to two equivalent La3+ and three equivalent Y3+ atoms to form distorted SLa2Y3 square pyramids that share corners with two equivalent SLa4Y square pyramids, corners with three equivalent SLa2Y2 tetrahedra, corners with four equivalent SLa3Y2 trigonal bipyramids, edges with five SLa4Y square pyramids, and an edgeedge with one SLa3Y2 trigonal bipyramid.

36 MATERIALS SCIENCE↗

Materials Data on Li9Mn2Co5O16 by Materials Project

Li9Mn2Co5O16 is Caswellsilverite-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are nine inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three equivalent MnO6 octahedra, corners with three equivalent CoO6 octahedra, edges with three MnO6 octahedra, edges with three CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–10°. There are a spread of Li–O bond distances ranging from 2.07–2.18 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three equivalent MnO6 octahedra, corners with three equivalent CoO6 octahedra, an edgeedge with one MnO6 octahedra, edges with three CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–11°. There are a spread of Li–O bond distances ranging from 2.08–2.38 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three equivalent LiO6 octahedra, corners with three equivalent CoO6 octahedra, edges with five CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–13°. There are a spread of Li–O bond distances ranging from 2.00–2.24 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six CoO6 octahedra, edges with 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 2.09–2.23 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three equivalent MnO6 octahedra, corners with three equivalent CoO6 octahedra, edges with three MnO6 octahedra, edges with three CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–11°. There are a spread of Li–O bond distances ranging from 2.06–2.34 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three equivalent LiO6 octahedra, corners with three equivalent CoO6 octahedra, edges with two equivalent MnO6 octahedra, edges with three CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–12°. There are a spread of Li–O bond distances ranging from 1.99–2.26 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six CoO6 octahedra, edges with four CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–8°. There are a spread of Li–O bond distances ranging from 2.14–2.26 Å. In the eighth 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 2–9°. There are a spread of Li–O bond distances ranging from 2.10–2.20 Å. In the ninth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with four equivalent CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–13°. There are a spread of Li–O bond distances ranging from 2.04–2.16 Å. There are two inequivalent Mn+4.50+ sites. In the first Mn+4.50+ site, Mn+4.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four equivalent 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 1.96–2.23 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 equivalent CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–11°. There are a spread of Mn–O bond distances ranging from 1.93–1.97 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 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 1.95–2.10 Å. In the second Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent CoO6 octahedra, edges with four equivalent MnO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–8°. There are a spread of Co–O bond distances ranging from 1.95–2.11 Å. In the third Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent CoO6 octahedra, edges with four equivalent MnO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–12°. There are a spread of Co–O bond distances ranging from 2.01–2.13 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 CoO6 octahedra, and edges with ten LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–8°. There are a spread of Co–O bond distances ranging from 1.79–2.00 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 six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 2–7°. There are a spread of Co–O bond distances ranging from 1.93–2.10 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 0–5°. In the second O2- site, O2- is bonded to three Li1+, two equivalent Mn+4.50+, and one Co+2.80+ atom to form OLi3Mn2Co octahedra that share corners with six OLi4Co2 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 0–8°. In the third O2- site, O2- is bonded to five Li1+ and one Co+2.80+ atom to form OLi5Co octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi5Co octahedra. The corner-sharing octahedra tilt angles range from 0–6°. 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 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+, one Mn+4.50+, and two equivalent Co+2.80+ atoms to form OLi3MnCo2 octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 1–7°. In the sixth O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two equivalent Co+2.80+ atoms to form OLi3MnCo2 octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 1–8°. 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 OLi4Co2 octahedra and edges with twelve OLi5Co octahedra. The corner-sharing octahedra tilt angles range from 1–5°. In the eighth 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 1–3°. In the ninth O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two equivalent Co+2.80+ atoms to form a mixture of corner and edge-sharing OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 1–5°. In the tenth 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 1–8°. 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 1–6°. In the twelfth O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two equivalent Co+2.80+ atoms to form OLi3MnCo2 octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 1–4°. In the thirteenth O2- site, O2- is bonded to three Li1+, two equivalent Mn+4.50+, and one Co+2.80+ atom to form a mixture of corner and edge-sharing OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 0–7°. 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 OLi5Co octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 0–8°. In the fifteenth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form OLi3Co3 octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi5Co octahedra. The corner-sharing octahedra tilt angles range from 0–5°. In the sixteenth O2- site, O2- is bonded to three Li1+, two equivalent Mn+4.50+, and one Co+2.80+ atom to form a mixture of corner and edge-sharing OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 0–3°.

36 MATERIALS SCIENCE↗

Materials Data on Ba2CaCeGd2Ti2(CuO7)2 by Materials Project

Ba2CaGd2CeTi2(CuO7)2 crystallizes in the tetragonal P4mm space group. The structure is three-dimensional. there are two inequivalent Ba2+ sites. In the first Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form distorted BaO12 cuboctahedra that share corners with four equivalent BaO12 cuboctahedra, faces with four equivalent BaO12 cuboctahedra, faces with four equivalent TiO6 octahedra, and faces with four equivalent CuO5 square pyramids. There are a spread of Ba–O bond distances ranging from 2.79–3.09 Å. In the second Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form distorted BaO12 cuboctahedra that share corners with four equivalent BaO12 cuboctahedra, faces with four equivalent BaO12 cuboctahedra, faces with four equivalent TiO6 octahedra, and faces with four equivalent CuO5 square pyramids. There are a spread of Ba–O bond distances ranging from 2.80–3.16 Å. Ca2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Ca–O bond distances ranging from 2.33–2.80 Å. There are two inequivalent Gd3+ sites. In the first Gd3+ site, Gd3+ is bonded in a 1-coordinate geometry to nine O2- atoms. There are a spread of Gd–O bond distances ranging from 2.12–2.78 Å. In the second Gd3+ site, Gd3+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are four shorter (2.38 Å) and four longer (2.47 Å) Gd–O bond lengths. Ce4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are four shorter (2.29 Å) and four longer (2.52 Å) Ce–O bond lengths. There are two inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with four equivalent TiO6 octahedra, a cornercorner with one CuO5 square pyramid, and faces with four equivalent BaO12 cuboctahedra. The corner-sharing octahedral tilt angles are 10°. There are a spread of Ti–O bond distances ranging from 1.86–2.20 Å. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with four equivalent TiO6 octahedra, a cornercorner with one CuO5 square pyramid, and faces with four equivalent BaO12 cuboctahedra. The corner-sharing octahedral tilt angles are 11°. There are a spread of Ti–O bond distances ranging from 1.86–2.09 Å. There are two inequivalent Cu2+ sites. In the first Cu2+ site, Cu2+ is bonded to five O2- atoms to form CuO5 square pyramids that share a cornercorner with one TiO6 octahedra, corners with four equivalent CuO5 square pyramids, and faces with four equivalent BaO12 cuboctahedra. The corner-sharing octahedral tilt angles are 0°. There are four shorter (1.96 Å) and one longer (2.39 Å) Cu–O bond lengths. In the second Cu2+ site, Cu2+ is bonded to five O2- atoms to form CuO5 square pyramids that share a cornercorner with one TiO6 octahedra, corners with four equivalent CuO5 square pyramids, and faces with four equivalent BaO12 cuboctahedra. The corner-sharing octahedral tilt angles are 0°. There are four shorter (1.96 Å) and one longer (2.45 Å) Cu–O bond lengths. There are nine inequivalent O2- sites. In the first O2- site, O2- is bonded in a 6-coordinate geometry to four equivalent Ba2+, one Ti4+, and one Cu2+ atom. In the second O2- site, O2- is bonded in a 1-coordinate geometry to four equivalent Ba2+, one Ti4+, and one Cu2+ atom. In the third O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Ba2+, two equivalent Ca2+, and two equivalent Ti4+ atoms. In the fourth O2- site, O2- is bonded in a 2-coordinate geometry to two equivalent Ba2+, two equivalent Gd3+, and two equivalent Ti4+ atoms. In the fifth O2- site, O2- is bonded in a 2-coordinate geometry to four equivalent Ca2+, one Gd3+, and one Ti4+ atom. In the sixth O2- site, O2- is bonded in a distorted linear geometry to one Ca2+, four equivalent Gd3+, and one Ti4+ atom. In the seventh O2- site, O2- is bonded to two equivalent Gd3+ and two equivalent Ce4+ atoms to form a mixture of edge and corner-sharing OCe2Gd2 tetrahedra. In the eighth O2- site, O2- is bonded in a 6-coordinate geometry to two equivalent Ba2+, two equivalent Gd3+, and two equivalent Cu2+ atoms. In the ninth O2- site, O2- is bonded in a 6-coordinate geometry to two equivalent Ba2+, two equivalent Ce4+, and two equivalent Cu2+ atoms.

36 MATERIALS SCIENCE↗