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Materials Data on Tm2S3 by Materials Project

Tm2S3 crystallizes in the monoclinic P2_1/m space group. The structure is three-dimensional. there are six inequivalent Tm3+ sites. In the first Tm3+ site, Tm3+ is bonded to seven S2- atoms to form distorted TmS7 pentagonal bipyramids that share corners with five TmS6 octahedra, edges with four TmS6 octahedra, edges with four equivalent TmS7 pentagonal bipyramids, and a faceface with one TmS6 octahedra. The corner-sharing octahedra tilt angles range from 32–49°. There are a spread of Tm–S bond distances ranging from 2.66–2.90 Å. In the second Tm3+ site, Tm3+ is bonded to six S2- atoms to form TmS6 octahedra that share corners with four TmS6 octahedra, corners with two TmS7 pentagonal bipyramids, edges with three TmS6 octahedra, and edges with four TmS7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 14–63°. There are a spread of Tm–S bond distances ranging from 2.66–2.82 Å. In the third Tm3+ site, Tm3+ is bonded to seven S2- atoms to form distorted TmS7 pentagonal bipyramids that share corners with two TmS6 octahedra, corners with two equivalent TmS7 pentagonal bipyramids, edges with two equivalent TmS6 octahedra, edges with six TmS7 pentagonal bipyramids, and a faceface with one TmS7 pentagonal bipyramid. The corner-sharing octahedra tilt angles range from 33–34°. There are a spread of Tm–S bond distances ranging from 2.70–2.93 Å. In the fourth Tm3+ site, Tm3+ is bonded to six S2- atoms to form TmS6 octahedra that share corners with four TmS6 octahedra, corners with five TmS7 pentagonal bipyramids, edges with four equivalent TmS6 octahedra, and a faceface with one TmS7 pentagonal bipyramid. The corner-sharing octahedra tilt angles range from 63–67°. There are a spread of Tm–S bond distances ranging from 2.65–2.81 Å. In the fifth Tm3+ site, Tm3+ is bonded to seven S2- atoms to form distorted TmS7 pentagonal bipyramids that share corners with three TmS6 octahedra, corners with two equivalent TmS7 pentagonal bipyramids, edges with two equivalent TmS6 octahedra, edges with six TmS7 pentagonal bipyramids, and a faceface with one TmS7 pentagonal bipyramid. The corner-sharing octahedra tilt angles range from 49–51°. There are a spread of Tm–S bond distances ranging from 2.69–2.93 Å. In the sixth Tm3+ site, Tm3+ is bonded to six S2- atoms to form TmS6 octahedra that share corners with four TmS6 octahedra, corners with three TmS7 pentagonal bipyramids, edges with three TmS6 octahedra, and edges with four TmS7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 14–67°. There are a spread of Tm–S bond distances ranging from 2.61–2.80 Å. There are nine inequivalent S2- sites. In the first S2- site, S2- is bonded to five Tm3+ atoms to form STm5 square pyramids that share a cornercorner with one STm4 tetrahedra, corners with seven STm4 trigonal pyramids, edges with two equivalent STm5 square pyramids, edges with two equivalent STm4 tetrahedra, edges with two equivalent STm5 trigonal bipyramids, and an edgeedge with one STm4 trigonal pyramid. In the second S2- site, S2- is bonded to four Tm3+ atoms to form distorted STm4 tetrahedra that share a cornercorner with one STm5 square pyramid, corners with two equivalent STm4 tetrahedra, corners with four equivalent STm5 trigonal bipyramids, corners with four STm4 trigonal pyramids, edges with two equivalent STm5 square pyramids, edges with two equivalent STm4 tetrahedra, and an edgeedge with one STm5 trigonal bipyramid. In the third S2- site, S2- is bonded to four Tm3+ atoms to form distorted STm4 trigonal pyramids that share corners with two equivalent STm5 square pyramids, a cornercorner with one STm4 tetrahedra, corners with two equivalent STm5 trigonal bipyramids, corners with eight STm4 trigonal pyramids, and edges with three equivalent STm5 trigonal bipyramids. In the fourth S2- site, S2- is bonded to four Tm3+ atoms to form distorted STm4 trigonal pyramids that share corners with two equivalent STm5 square pyramids, corners with three STm5 trigonal bipyramids, corners with six STm4 trigonal pyramids, an edgeedge with one STm5 square pyramid, edges with two equivalent STm5 trigonal bipyramids, and edges with two equivalent STm4 trigonal pyramids. In the fifth S2- site, S2- is bonded to four Tm3+ atoms to form STm4 trigonal pyramids that share a cornercorner with one STm5 square pyramid, corners with three equivalent STm4 tetrahedra, corners with two equivalent STm5 trigonal bipyramids, corners with two equivalent STm4 trigonal pyramids, edges with three equivalent STm5 trigonal bipyramids, and edges with two equivalent STm4 trigonal pyramids. In the sixth S2- site, S2- is bonded to five Tm3+ atoms to form distorted STm5 trigonal bipyramids that share corners with seven STm4 trigonal pyramids, edges with four equivalent STm5 trigonal bipyramids, and edges with six STm4 trigonal pyramids. In the seventh S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to four Tm3+ atoms. In the eighth S2- site, S2- is bonded to five Tm3+ atoms to form distorted STm5 trigonal bipyramids that share corners with four equivalent STm4 tetrahedra, corners with five STm4 trigonal pyramids, edges with two equivalent STm5 square pyramids, an edgeedge with one STm4 tetrahedra, edges with two equivalent STm5 trigonal bipyramids, and edges with three equivalent STm4 trigonal pyramids. In the ninth S2- site, S2- is bonded to four Tm3+ atoms to form distorted STm4 trigonal pyramids that share corners with two equivalent STm5 square pyramids, corners with five STm5 trigonal bipyramids, corners with six STm4 trigonal pyramids, an edgeedge with one STm5 trigonal bipyramid, and edges with four STm4 trigonal pyramids.

36 MATERIALS SCIENCE↗

Materials Data on Li4MnCo2O7 by Materials Project

Li4MnCo2O7 is Caswellsilverite-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with four CoO6 octahedra, edges with three equivalent MnO6 octahedra, edges with three equivalent CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–7°. There are a spread of Li–O bond distances ranging from 2.10–2.25 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one MnO6 octahedra, corners with four CoO6 octahedra, edges with six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 4–8°. There are a spread of Li–O bond distances ranging from 2.01–2.26 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with four CoO6 octahedra, edges with three equivalent CoO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–11°. There are a spread of Li–O bond distances ranging from 2.08–2.22 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one MnO6 octahedra, corners with two equivalent LiO6 octahedra, corners with three CoO6 octahedra, edges with three equivalent CoO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–10°. There are a spread of Li–O bond distances ranging from 2.08–2.21 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with two equivalent MnO6 octahedra, corners with three CoO6 octahedra, edges with three equivalent MnO6 octahedra, edges with three equivalent CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–9°. There are a spread of Li–O bond distances ranging from 2.00–2.20 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three MnO6 octahedra, corners with three CoO6 octahedra, edges with three equivalent MnO6 octahedra, edges with three equivalent CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–7°. There are a spread of Li–O bond distances ranging from 2.07–2.26 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three MnO6 octahedra, corners with three CoO6 octahedra, edges with three equivalent MnO6 octahedra, edges with three equivalent CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–6°. There are a spread of Li–O bond distances ranging from 2.10–2.26 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with four CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–11°. There are a spread of Li–O bond distances ranging from 2.00–2.24 Å. There are two inequivalent Mn2+ sites. In the first Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–7°. There are a spread of Mn–O bond distances ranging from 1.95–2.25 Å. In the second Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–8°. There are a spread of Mn–O bond distances ranging from 1.93–2.25 Å. There are four inequivalent Co4+ sites. In the first Co4+ site, Co4+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–8°. There are a spread of Co–O bond distances ranging from 1.89–2.16 Å. In the second Co4+ site, Co4+ is bonded to six O2- atoms to form distorted CoO6 octahedra that share corners with six LiO6 octahedra, edges with four CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–8°. There are a spread of Co–O bond distances ranging from 1.74–2.25 Å. In the third Co4+ site, Co4+ is bonded to six O2- atoms to form distorted CoO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with two equivalent CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–8°. There are a spread of Co–O bond distances ranging from 1.74–2.25 Å. In the fourth Co4+ site, Co4+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent CoO6 octahedra, edges with four MnO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–7°. There are a spread of Co–O bond distances ranging from 1.94–2.13 Å. There are fourteen inequivalent O2- sites. In the first O2- site, O2- is bonded to three Li1+, two equivalent Mn2+, and one Co4+ atom to form OLi3Mn2Co octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the second O2- site, O2- is bonded to three Li1+ and three Co4+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 0–8°. In the third O2- site, O2- is bonded to four Li1+ and two equivalent Co4+ atoms to form OLi4Co2 octahedra that share corners with six OLi4Co2 octahedra and edges with twelve OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 0–8°. In the fourth O2- site, O2- is bonded to five Li1+ and one Co4+ atom to form a mixture of edge and corner-sharing OLi5Co octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the fifth O2- site, O2- is bonded to three Li1+, one Mn2+, and two equivalent Co4+ atoms to form OLi3MnCo2 octahedra that share corners with six OLi4Co2 octahedra and edges with twelve OLi5Co octahedra. The corner-sharing octahedra tilt angles range from 1–8°. In the sixth O2- site, O2- is bonded to three Li1+, two equivalent Mn2+, and one Co4+ atom to form OLi3Mn2Co octahedra that share corners with six OLi4Co2 octahedra and edges with twelve OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the seventh O2- site, O2- is bonded to three Li1+, one Mn2+, and two equivalent Co4+ atoms to form a mixture of edge and corner-sharing OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the eighth O2- site, O2- is bonded to three Li1+, one Mn2+, and two equivalent Co4+ atoms to form OLi3MnCo2 octahedra that share corners with six OLi4Co2 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the ninth O2- site, O2- is bonded to three Li1+ and three Co4+ atoms to form OLi3Co3 octahedra that share corners with six OLi4Co2 octahedra and edges with twelve OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–8°. In the tenth O2- site, O2- is bonded to five Li1+ and one Co4+ atom to form a mixture of edge and corner-sharing OLi5Co octahedra. The corner-sharing octahedra tilt angles range from 0–8°. In the eleventh O2- site, O2- is bonded to four Li1+ and two equivalent Co4+ 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 0–8°. In the twelfth O2- site, O2- is bonded to three Li1+, two equivalent Mn2+, and one Co4+ atom to form OLi3Mn2Co octahedra that share corners with six OLi5Co octahedra and edges with twelve OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 1–7°. In the thirteenth O2- site, O2- is bonded to three Li1+, one Mn2+, and two equivalent Co4+ atoms to form OLi3MnCo2 octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the fourteenth O2- site, O2- is bonded to three Li1+, two equivalent Mn2+, and one Co4+ atom to form a mixture of edge and corner-sharing OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 0–3°.

36 MATERIALS SCIENCE↗

Materials Data on Pr2Mn3CoGe4 by Materials Project

Pr2Mn3CoGe4 crystallizes in the tetragonal P-4m2 space group. The structure is three-dimensional. Pr is bonded in a 8-coordinate geometry to six Mn, two equivalent Co, and eight Ge atoms. There are two shorter (3.38 Å) and four longer (3.41 Å) Pr–Mn bond lengths. Both Pr–Co bond lengths are 3.38 Å. There are four shorter (3.18 Å) and four longer (3.19 Å) Pr–Ge bond lengths. There are three inequivalent Mn sites. In the first Mn site, Mn is bonded to four equivalent Pr and four equivalent Ge atoms to form MnPr4Ge4 tetrahedra that share corners with eight equivalent CoPr4Mn4Ge4 cuboctahedra, corners with four equivalent MnPr4Co4Ge4 tetrahedra, edges with six MnPr4Ge4 tetrahedra, and faces with four equivalent MnPr4Ge4 tetrahedra. All Mn–Ge bond lengths are 2.45 Å. In the second Mn site, Mn is bonded to four equivalent Pr, four equivalent Co, and four equivalent Ge atoms to form distorted MnPr4Co4Ge4 tetrahedra that share corners with sixteen MnPr4Ge4 tetrahedra, edges with two equivalent MnPr4Ge4 tetrahedra, faces with four equivalent CoPr4Mn4Ge4 cuboctahedra, and faces with four equivalent MnPr4Co4Ge4 tetrahedra. All Mn–Co bond lengths are 2.87 Å. All Mn–Ge bond lengths are 2.43 Å. In the third Mn site, Mn is bonded to four equivalent Pr and four equivalent Ge atoms to form MnPr4Ge4 tetrahedra that share corners with four equivalent CoPr4Mn4Ge4 cuboctahedra, corners with eight equivalent MnPr4Co4Ge4 tetrahedra, edges with two equivalent CoPr4Mn4Ge4 cuboctahedra, edges with four equivalent MnPr4Ge4 tetrahedra, and faces with four equivalent MnPr4Ge4 tetrahedra. All Mn–Ge bond lengths are 2.45 Å. Co is bonded to four equivalent Pr, four equivalent Mn, and four equivalent Ge atoms to form distorted CoPr4Mn4Ge4 cuboctahedra that share corners with four equivalent CoPr4Mn4Ge4 cuboctahedra, corners with twelve MnPr4Ge4 tetrahedra, edges with two equivalent MnPr4Ge4 tetrahedra, faces with four equivalent CoPr4Mn4Ge4 cuboctahedra, and faces with four equivalent MnPr4Co4Ge4 tetrahedra. All Co–Ge bond lengths are 2.43 Å. There are two inequivalent Ge sites. In the first Ge site, Ge is bonded in a 9-coordinate geometry to four equivalent Pr, two equivalent Mn, two equivalent Co, and one Ge atom. The Ge–Ge bond length is 2.75 Å. In the second Ge site, Ge is bonded in a 9-coordinate geometry to four equivalent Pr, four Mn, and one Ge atom.

36 MATERIALS SCIENCE↗

Materials Data on Na6Ca3U2O12 by Materials Project

Na6Ca3U2O12 crystallizes in the monoclinic C2 space group. The structure is three-dimensional. there are six inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded to six O2- atoms to form NaO6 octahedra that share corners with two equivalent CaO6 octahedra, corners with two equivalent UO6 octahedra, edges with two equivalent UO6 octahedra, edges with four CaO6 octahedra, and edges with six NaO6 octahedra. The corner-sharing octahedra tilt angles range from 0–14°. There are a spread of Na–O bond distances ranging from 2.31–2.73 Å. In the second Na1+ site, Na1+ is bonded to six O2- atoms to form NaO6 octahedra that share corners with two equivalent UO6 octahedra, corners with four CaO6 octahedra, edges with two equivalent CaO6 octahedra, edges with two equivalent UO6 octahedra, and edges with six NaO6 octahedra. The corner-sharing octahedra tilt angles range from 9–16°. There are a spread of Na–O bond distances ranging from 2.43–2.84 Å. In the third Na1+ site, Na1+ is bonded to six O2- atoms to form NaO6 octahedra that share corners with two equivalent NaO6 octahedra, corners with two equivalent CaO6 octahedra, corners with two equivalent UO6 octahedra, edges with two equivalent UO6 octahedra, edges with four CaO6 octahedra, and edges with five NaO6 octahedra. The corner-sharing octahedra tilt angles range from 4–20°. There are a spread of Na–O bond distances ranging from 2.38–2.70 Å. In the fourth Na1+ site, Na1+ is bonded to six O2- atoms to form NaO6 octahedra that share corners with two equivalent NaO6 octahedra, corners with two equivalent UO6 octahedra, edges with two equivalent UO6 octahedra, edges with three CaO6 octahedra, and edges with five NaO6 octahedra. The corner-sharing octahedra tilt angles range from 7–20°. There are a spread of Na–O bond distances ranging from 2.32–2.68 Å. In the fifth Na1+ site, Na1+ is bonded to six O2- atoms to form NaO6 octahedra that share corners with two equivalent NaO6 octahedra, corners with two equivalent CaO6 octahedra, corners with two equivalent UO6 octahedra, edges with two equivalent UO6 octahedra, edges with five NaO6 octahedra, and edges with five CaO6 octahedra. The corner-sharing octahedra tilt angles range from 5–14°. There are a spread of Na–O bond distances ranging from 2.51–2.55 Å. In the sixth Na1+ site, Na1+ is bonded to six O2- atoms to form NaO6 octahedra that share corners with two equivalent NaO6 octahedra, corners with two equivalent CaO6 octahedra, corners with two equivalent UO6 octahedra, edges with two equivalent UO6 octahedra, edges with three CaO6 octahedra, and edges with five NaO6 octahedra. The corner-sharing octahedra tilt angles range from 10–22°. There are two shorter (2.53 Å) and four longer (2.58 Å) Na–O bond lengths. There are three inequivalent Ca2+ sites. In the first Ca2+ site, Ca2+ is bonded to six O2- atoms to form CaO6 octahedra that share corners with four NaO6 octahedra, edges with two equivalent CaO6 octahedra, edges with three UO6 octahedra, and edges with seven NaO6 octahedra. The corner-sharing octahedra tilt angles range from 10–14°. There are a spread of Ca–O bond distances ranging from 2.28–2.40 Å. In the second Ca2+ site, Ca2+ is bonded to six O2- atoms to form CaO6 octahedra that share corners with two equivalent CaO6 octahedra, corners with four NaO6 octahedra, edges with three UO6 octahedra, and edges with seven NaO6 octahedra. The corner-sharing octahedra tilt angles range from 14–22°. There are a spread of Ca–O bond distances ranging from 2.33–2.43 Å. In the third Ca2+ site, Ca2+ is bonded to six O2- atoms to form CaO6 octahedra that share corners with two equivalent CaO6 octahedra, corners with four NaO6 octahedra, edges with two equivalent CaO6 octahedra, edges with three UO6 octahedra, and edges with seven NaO6 octahedra. The corner-sharing octahedra tilt angles range from 9–14°. There are two shorter (2.37 Å) and four longer (2.40 Å) Ca–O bond lengths. There are two inequivalent U6+ sites. In the first U6+ site, U6+ is bonded to six O2- atoms to form UO6 octahedra that share corners with six NaO6 octahedra, edges with five CaO6 octahedra, and edges with six NaO6 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. There are a spread of U–O bond distances ranging from 2.05–2.16 Å. In the second U6+ site, U6+ is bonded to six O2- atoms to form UO6 octahedra that share corners with six NaO6 octahedra, edges with four CaO6 octahedra, and edges with six NaO6 octahedra. The corner-sharing octahedra tilt angles range from 5–10°. There are a spread of U–O bond distances ranging from 2.05–2.21 Å. There are six inequivalent O2- sites. In the first O2- site, O2- is bonded to three Na1+, one Ca2+, and one U6+ atom to form distorted ONa3CaU square pyramids that share corners with two equivalent ONa3Ca2U octahedra, corners with seven ONa3CaU square pyramids, edges with five ONa3Ca2U octahedra, and edges with three ONa3CaU square pyramids. The corner-sharing octahedra tilt angles range from 9–11°. In the second O2- site, O2- is bonded to three Na1+, one Ca2+, and one U6+ atom to form distorted ONa3CaU square pyramids that share corners with two equivalent ONa3Ca2U octahedra, corners with seven ONa3CaU square pyramids, edges with five ONa3Ca2U octahedra, and edges with three ONa3CaU square pyramids. The corner-sharing octahedra tilt angles range from 4–8°. In the third O2- site, O2- is bonded to three Na1+, two Ca2+, and one U6+ atom to form distorted ONa3Ca2U octahedra that share corners with two equivalent ONa3Ca2U octahedra, corners with four ONa3CaU square pyramids, edges with ten ONa3Ca2U octahedra, and edges with two ONa3CaU square pyramids. The corner-sharing octahedra tilt angles range from 6–12°. In the fourth O2- site, O2- is bonded to three Na1+, one Ca2+, and one U6+ atom to form ONa3CaU square pyramids that share corners with four ONa3Ca2U octahedra, corners with five ONa3CaU square pyramids, edges with two ONa3Ca2U octahedra, and edges with six ONa3CaU square pyramids. The corner-sharing octahedra tilt angles range from 3–13°. In the fifth O2- site, O2- is bonded to three Na1+, two Ca2+, and one U6+ atom to form ONa3Ca2U octahedra that share corners with four ONa3Ca2U octahedra, corners with two equivalent ONa3CaU square pyramids, edges with seven ONa3Ca2U octahedra, and edges with five ONa3CaU square pyramids. The corner-sharing octahedra tilt angles range from 4–9°. In the sixth O2- site, O2- is bonded to three Na1+, two Ca2+, and one U6+ atom to form distorted ONa3Ca2U octahedra that share corners with four ONa3Ca2U octahedra, corners with two equivalent ONa3CaU square pyramids, edges with seven ONa3Ca2U octahedra, and edges with five ONa3CaU square pyramids. The corner-sharing octahedra tilt angles range from 1–9°.

36 MATERIALS SCIENCE↗

Materials Data on V9GaSiGe by Materials Project

V9GaGeSi crystallizes in the orthorhombic Pmm2 space group. The structure is three-dimensional. there are twelve inequivalent V sites. In the first V site, V is bonded in a 6-coordinate geometry to two V, two equivalent Ga, and two equivalent Ge atoms. There are one shorter (2.37 Å) and one longer (2.38 Å) V–V bond lengths. Both V–Ga bond lengths are 2.67 Å. Both V–Ge bond lengths are 2.66 Å. In the second V site, V is bonded in a 6-coordinate geometry to two V, two equivalent Ga, and two equivalent Ge atoms. There are one shorter (2.37 Å) and one longer (2.38 Å) V–V bond lengths. Both V–Ga bond lengths are 2.66 Å. Both V–Ge bond lengths are 2.67 Å. In the third V site, V is bonded in a 6-coordinate geometry to two V and four Si atoms. There are one shorter (2.33 Å) and one longer (2.36 Å) V–V bond lengths. There are two shorter (2.65 Å) and two longer (2.67 Å) V–Si bond lengths. In the fourth V site, V is bonded in a 6-coordinate geometry to two equivalent V, one Ga, and three Si atoms. There are one shorter (2.32 Å) and one longer (2.45 Å) V–V bond lengths. The V–Ga bond length is 2.69 Å. There are one shorter (2.62 Å) and two longer (2.65 Å) V–Si bond lengths. In the fifth V site, V is bonded in a 6-coordinate geometry to two equivalent V, two Ga, and two equivalent Ge atoms. There are one shorter (2.34 Å) and one longer (2.42 Å) V–V bond lengths. Both V–Ga bond lengths are 2.67 Å. Both V–Ge bond lengths are 2.66 Å. In the sixth V site, V is bonded in a 6-coordinate geometry to two equivalent V, one Ga, two equivalent Ge, and one Si atom. There are one shorter (2.38 Å) and one longer (2.39 Å) V–V bond lengths. The V–Ga bond length is 2.68 Å. Both V–Ge bond lengths are 2.66 Å. The V–Si bond length is 2.61 Å. In the seventh V site, V is bonded in a 6-coordinate geometry to two equivalent V, two equivalent Ga, one Ge, and one Si atom. There are one shorter (2.37 Å) and one longer (2.40 Å) V–V bond lengths. Both V–Ga bond lengths are 2.67 Å. The V–Ge bond length is 2.68 Å. The V–Si bond length is 2.61 Å. In the eighth V site, V is bonded in a 6-coordinate geometry to two equivalent V, two equivalent Ga, and two Ge atoms. There are one shorter (2.38 Å) and one longer (2.39 Å) V–V bond lengths. Both V–Ga bond lengths are 2.66 Å. Both V–Ge bond lengths are 2.66 Å. In the ninth V site, V is bonded in a 6-coordinate geometry to two equivalent V, one Ge, and three Si atoms. There are one shorter (2.34 Å) and one longer (2.43 Å) V–V bond lengths. The V–Ge bond length is 2.68 Å. There are one shorter (2.62 Å) and two longer (2.65 Å) V–Si bond lengths. In the tenth V site, V is bonded in a 6-coordinate geometry to two V, two equivalent Ga, and two equivalent Si atoms. Both V–Ga bond lengths are 2.67 Å. Both V–Si bond lengths are 2.65 Å. In the eleventh V site, V is bonded in a 6-coordinate geometry to two V, two equivalent Ga, and two equivalent Ge atoms. Both V–Ga bond lengths are 2.67 Å. Both V–Ge bond lengths are 2.66 Å. In the twelfth V site, V is bonded in a 6-coordinate geometry to two V, two equivalent Ge, and two equivalent Si atoms. Both V–Ge bond lengths are 2.66 Å. Both V–Si bond lengths are 2.65 Å. There are two inequivalent Ga sites. In the first Ga site, Ga is bonded to twelve V atoms to form GaV12 cuboctahedra that share an edgeedge with one SiV12 cuboctahedra, edges with five GaV12 cuboctahedra, faces with four equivalent GeV12 cuboctahedra, and faces with four equivalent SiV12 cuboctahedra. In the second Ga site, Ga is bonded to twelve V atoms to form GaV12 cuboctahedra that share an edgeedge with one SiV12 cuboctahedra, edges with five GaV12 cuboctahedra, and faces with eight GeV12 cuboctahedra. There are two inequivalent Ge sites. In the first Ge site, Ge is bonded to twelve V atoms to form GeV12 cuboctahedra that share an edgeedge with one SiV12 cuboctahedra, edges with five GeV12 cuboctahedra, and faces with eight GaV12 cuboctahedra. In the second Ge site, Ge is bonded to twelve V atoms to form GeV12 cuboctahedra that share an edgeedge with one SiV12 cuboctahedra, edges with five GeV12 cuboctahedra, faces with four equivalent GaV12 cuboctahedra, and faces with four equivalent SiV12 cuboctahedra. There are two inequivalent Si sites. In the first Si site, Si is bonded to twelve V atoms to form SiV12 cuboctahedra that share edges with two GaV12 cuboctahedra, edges with four equivalent SiV12 cuboctahedra, faces with four equivalent GeV12 cuboctahedra, and faces with four equivalent SiV12 cuboctahedra. In the second Si site, Si is bonded to twelve V atoms to form SiV12 cuboctahedra that share edges with two GeV12 cuboctahedra, edges with four equivalent SiV12 cuboctahedra, faces with four equivalent GaV12 cuboctahedra, and faces with four equivalent SiV12 cuboctahedra.

36 MATERIALS SCIENCE↗

Materials Data on CuSnPd2 by Materials Project

Pd2CuSn is beta Cu3Ti-derived structured and crystallizes in the tetragonal P4/mmm space group. The structure is three-dimensional. there are two inequivalent Pd sites. In the first Pd site, Pd is bonded to four equivalent Pd, four equivalent Cu, and four equivalent Sn atoms to form distorted PdCu4Sn4Pd4 cuboctahedra that share corners with twelve equivalent PdCu4Sn4Pd4 cuboctahedra, edges with eight equivalent PdSn4Pd8 cuboctahedra, edges with eight equivalent CuCu4Sn4Pd4 cuboctahedra, edges with eight equivalent SnCu4Pd8 cuboctahedra, faces with four equivalent CuCu4Sn4Pd4 cuboctahedra, faces with four equivalent SnCu4Pd8 cuboctahedra, and faces with ten PdCu4Sn4Pd4 cuboctahedra. All Pd–Pd bond lengths are 2.94 Å. All Pd–Cu bond lengths are 2.70 Å. All Pd–Sn bond lengths are 2.83 Å. In the second Pd site, Pd is bonded to eight Pd and four equivalent Sn atoms to form distorted PdSn4Pd8 cuboctahedra that share corners with four equivalent PdSn4Pd8 cuboctahedra, corners with eight equivalent CuCu4Sn4Pd4 cuboctahedra, edges with eight equivalent PdCu4Sn4Pd4 cuboctahedra, edges with eight equivalent CuCu4Sn4Pd4 cuboctahedra, edges with eight equivalent SnCu4Pd8 cuboctahedra, faces with two equivalent CuCu4Sn4Pd4 cuboctahedra, faces with four equivalent SnCu4Pd8 cuboctahedra, and faces with twelve PdCu4Sn4Pd4 cuboctahedra. All Pd–Pd bond lengths are 2.82 Å. All Pd–Sn bond lengths are 2.81 Å. Cu is bonded to four equivalent Pd, four equivalent Cu, and four equivalent Sn atoms to form distorted CuCu4Sn4Pd4 cuboctahedra that share corners with four equivalent CuCu4Sn4Pd4 cuboctahedra, corners with eight equivalent PdSn4Pd8 cuboctahedra, edges with eight equivalent SnCu4Pd8 cuboctahedra, edges with sixteen PdCu4Sn4Pd4 cuboctahedra, faces with four equivalent SnCu4Pd8 cuboctahedra, faces with six PdCu4Sn4Pd4 cuboctahedra, and faces with eight equivalent CuCu4Sn4Pd4 cuboctahedra. All Cu–Cu bond lengths are 2.82 Å. All Cu–Sn bond lengths are 2.83 Å. Sn is bonded to eight Pd and four equivalent Cu atoms to form SnCu4Pd8 cuboctahedra that share corners with twelve equivalent SnCu4Pd8 cuboctahedra, edges with eight equivalent CuCu4Sn4Pd4 cuboctahedra, edges with sixteen PdCu4Sn4Pd4 cuboctahedra, faces with four equivalent CuCu4Sn4Pd4 cuboctahedra, faces with six equivalent SnCu4Pd8 cuboctahedra, and faces with eight PdCu4Sn4Pd4 cuboctahedra.

36 MATERIALS SCIENCE↗

Materials Data on Li9Mn2Co5O16 by Materials Project

Li9Mn2Co5O16 is Caswellsilverite-derived structured and crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are nine inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with two equivalent MnO6 octahedra, corners with two CoO6 octahedra, edges with three equivalent MnO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–14°. There are a spread of Li–O bond distances ranging from 2.01–2.27 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one MnO6 octahedra, corners with two equivalent LiO6 octahedra, corners with three CoO6 octahedra, edges with three equivalent CoO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–11°. There are a spread of Li–O bond distances ranging from 2.03–2.27 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with five CoO6 octahedra, edges with six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 3–12°. There are a spread of Li–O bond distances ranging from 2.07–2.20 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one MnO6 octahedra, corners with five CoO6 octahedra, edges with six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 3–5°. There are one shorter (2.12 Å) and five longer (2.13 Å) Li–O bond lengths. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with four CoO6 octahedra, edges with three equivalent MnO6 octahedra, edges with three equivalent CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–8°. There are a spread of Li–O bond distances ranging from 2.09–2.27 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with four CoO6 octahedra, edges with three equivalent MnO6 octahedra, edges with three equivalent CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–7°. There are a spread of Li–O bond distances ranging from 2.11–2.23 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two MnO6 octahedra, corners with four CoO6 octahedra, edges with six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 3–7°. There are a spread of Li–O bond distances ranging from 2.09–2.24 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with two equivalent MnO6 octahedra, corners with three CoO6 octahedra, edges with three equivalent MnO6 octahedra, edges with three equivalent CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–8°. There are a spread of Li–O bond distances ranging from 2.08–2.17 Å. In the ninth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with two equivalent CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–14°. There are a spread of Li–O bond distances ranging from 2.05–2.14 Å. There are two inequivalent Mn+4.50+ sites. In the first Mn+4.50+ site, Mn+4.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with two equivalent CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–10°. There are a spread of Mn–O bond distances ranging from 1.83–2.12 Å. In the second Mn+4.50+ site, Mn+4.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–6°. There are a spread of Mn–O bond distances ranging from 1.97–2.24 Å. There are five inequivalent Co+2.80+ sites. In the first Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form distorted CoO6 octahedra that share corners with six LiO6 octahedra, edges with four CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–12°. There are a spread of Co–O bond distances ranging from 1.80–2.31 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 1.98–2.09 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 MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–7°. There are a spread of Co–O bond distances ranging from 1.98–2.22 Å. In the fourth Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–7°. There are a spread of Co–O bond distances ranging from 1.94–2.22 Å. In the fifth Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–7°. There are a spread of Co–O bond distances ranging from 1.98–2.11 Å. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded to three Li1+, two equivalent Mn+4.50+, and one Co+2.80+ atom to form OLi3Mn2Co octahedra that share corners with six OLi5Co octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the second O2- site, O2- is bonded to five Li1+ and one Mn+4.50+ atom to form OLi5Mn octahedra that share corners with six OLi5Co octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 3–13°. In the third O2- site, O2- is bonded to four Li1+ and two equivalent Co+2.80+ atoms to form OLi4Co2 octahedra that share corners with six OLi5Co octahedra and edges with twelve OLi5Mn octahedra. The corner-sharing octahedra tilt angles range from 1–14°. In the fourth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form OLi3Co3 octahedra that share corners with six OLi5Co octahedra and edges with twelve OLi4Co2 octahedra. The corner-sharing octahedra tilt angles range from 1–5°. In the fifth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form a mixture of corner and edge-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–2°. In the sixth O2- site, O2- is bonded to three Li1+, two equivalent Mn+4.50+, and one Co+2.80+ atom to form a mixture of corner and edge-sharing OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the seventh O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two equivalent Co+2.80+ atoms to form OLi3MnCo2 octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 0–2°. 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 five Li1+ and one Co+2.80+ atom to form OLi5Co octahedra that share corners with six OLi3Mn2Co octahedra and edges with twelve OLi5Mn octahedra. The corner-sharing octahedra tilt angles range from 2–9°. In the tenth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form OLi3Co3 octahedra that share corners with six OLi5Mn octahedra and edges with twelve OLi4Co2 octahedra. The corner-sharing octahedra tilt angles range from 2–14°. In the eleventh O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form OLi3Co3 octahedra that share corners with six OLi4Co2 octahedra and edges with twelve OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. In the twelfth O2- site, O2- is bonded to three Li1+, 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 1–3°. 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 OLi3Co3 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 three Li1+ and three Co+2.80+ atoms to form OLi3Co3 octahedra that share corners with six OLi3Mn2Co octahedra and edges with twelve OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the fifteenth O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two equivalent Co+2.80+ atoms to form a mixture of corner and edge-sharing OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 1–5°. In the sixteenth O2- site, O2- is bonded to four Li1+ and two equivalent Mn+4.50+ atoms to form a mixture of corner and edge-sharing OLi4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 1–13°.

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 LiO6 octahedra, corners with three equivalent MnO6 octahedra, an edgeedge with one MnO6 octahedra, edges with four equivalent CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–11°. There are a spread of Li–O bond distances ranging from 2.03–2.19 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six CoO6 octahedra, edges with two CoO6 octahedra, and edges with ten LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–9°. There are a spread of Li–O bond distances ranging from 2.17–2.23 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 7–11°. There are a spread of Li–O bond distances ranging from 2.03–2.28 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 4–8°. There are a spread of Li–O bond distances ranging from 2.08–2.22 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six CoO6 octahedra, edges with two 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 Li–O bond distances ranging from 2.11–2.28 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three equivalent MnO6 octahedra, corners with three equivalent CoO6 octahedra, an edgeedge with one MnO6 octahedra, edges with five CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–8°. There are a spread of Li–O bond distances ranging from 2.10–2.24 Å. In the seventh 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 4–7°. There are a spread of Li–O bond distances ranging from 2.11–2.24 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 CoO6 octahedra, edges with four equivalent MnO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–7°. There are a spread of Li–O bond distances ranging from 2.09–2.28 Å. In the ninth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with four CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–11°. There are a spread of Li–O bond distances ranging from 2.03–2.20 Å. There are two inequivalent Mn+4.50+ sites. In the first Mn+4.50+ site, Mn+4.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–10°. There are a spread of Mn–O bond distances ranging from 1.93–2.23 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 CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–8°. There are a spread of Mn–O bond distances ranging from 1.95–2.25 Å. There are five inequivalent Co+2.80+ sites. In the first Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form distorted CoO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with two equivalent CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–9°. There are a spread of Co–O bond distances ranging from 1.73–2.27 Å. In the second Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form distorted CoO6 octahedra that share corners with six LiO6 octahedra, edges with four CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–9°. There are a spread of Co–O bond distances ranging from 1.74–2.27 Å. In the third Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–9°. There are a spread of Co–O bond distances ranging from 1.89–2.12 Å. In the fourth Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–7°. There are a spread of Co–O bond distances ranging from 1.92–2.11 Å. In the fifth Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–7°. There are a spread of Co–O bond distances ranging from 1.92–2.11 Å. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded to three Li1+, two equivalent Mn+4.50+, and one Co+2.80+ atom to form OLi3Mn2Co octahedra that share corners with six OLi5Co octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 1–8°. In the second O2- site, O2- is bonded to four Li1+ and two equivalent Co+2.80+ atoms to form OLi4Co2 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 OLi5Co octahedra and edges with twelve OLi4Co2 octahedra. The corner-sharing octahedra tilt angles range from 0–8°. 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 OLi4Co2 octahedra and edges with twelve OLi5Co octahedra. The corner-sharing octahedra tilt angles range from 1–8°. 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 edge and corner-sharing OLi3MnCo2 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 0–4°. In the seventh O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form OLi3Co3 octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the eighth O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two equivalent Co+2.80+ atoms to form OLi3MnCo2 octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the ninth O2- site, O2- is bonded to five Li1+ and one Co+2.80+ atom to form a mixture of edge and corner-sharing OLi5Co octahedra. The corner-sharing octahedra tilt angles range from 0–8°. In the tenth O2- site, O2- is bonded to four Li1+ and two equivalent Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi4Co2 octahedra. The corner-sharing octahedra tilt angles range from 0–8°. In the eleventh O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 0–8°. In the twelfth O2- site, O2- is bonded to three Li1+, two equivalent Mn+4.50+, and one Co+2.80+ atom to form a mixture of edge and corner-sharing OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 0–2°. In the thirteenth O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two equivalent Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. In the fourteenth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the fifteenth O2- site, O2- is bonded to three Li1+, two equivalent Mn+4.50+, and one Co+2.80+ atom to form a mixture of edge and corner-sharing OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 1–3°. 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 OLi4Co2 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 2–8°.

36 MATERIALS SCIENCE↗

Materials Data on Li9Mn2Co5O16 by Materials Project

Li9Mn2Co5O16 is Caswellsilverite-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are nine inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three equivalent MnO6 octahedra, corners with three equivalent CoO6 octahedra, an edgeedge with one MnO6 octahedra, an edgeedge with one CoO6 octahedra, and edges with ten LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–11°. There are a spread of Li–O bond distances ranging from 2.09–2.32 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three equivalent LiO6 octahedra, corners with three equivalent MnO6 octahedra, an edgeedge with one MnO6 octahedra, edges with four equivalent CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–12°. There are a spread of Li–O bond distances ranging from 1.98–2.37 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six CoO6 octahedra, edges with two CoO6 octahedra, edges with four equivalent MnO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–16°. There are a spread of Li–O bond distances ranging from 2.08–2.17 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three equivalent MnO6 octahedra, corners with three equivalent CoO6 octahedra, an edgeedge with one MnO6 octahedra, edges with five CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–8°. There are a spread of Li–O bond distances ranging from 2.04–2.26 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six CoO6 octahedra, edges with six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 5–7°. 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 six CoO6 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 Li–O bond distances ranging from 2.10–2.19 Å. In the seventh 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 2.11–2.25 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three equivalent LiO6 octahedra, corners with three equivalent CoO6 octahedra, an edgeedge with one CoO6 octahedra, edges with four equivalent MnO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–12°. There are a spread of Li–O bond distances ranging from 2.00–2.23 Å. In the ninth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with two equivalent CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 9–12°. There are a spread of Li–O bond distances ranging from 2.04–2.20 Å. There are two inequivalent Mn+4.50+ sites. In the first Mn+4.50+ site, Mn+4.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with two equivalent CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–11°. There are a spread of Mn–O bond distances ranging from 1.82–2.09 Å. In the second Mn+4.50+ site, Mn+4.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–12°. There are a spread of Mn–O bond distances ranging from 1.90–1.98 Å. There are five inequivalent Co+2.80+ sites. In the first Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form distorted CoO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with two equivalent CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–16°. There are a spread of Co–O bond distances ranging from 1.77–2.32 Å. In the second Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–8°. There are a spread of Co–O bond distances ranging from 1.99–2.12 Å. In the third Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with 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 1.90–2.16 Å. In the fourth Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 2–7°. There are a spread of Co–O bond distances ranging from 1.96–2.07 Å. In the fifth Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–9°. There are a spread of Co–O bond distances ranging from 1.92–2.09 Å. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded to four Li1+ and two equivalent Mn+4.50+ atoms to form OLi4Mn2 octahedra that share corners with six OLi4Co2 octahedra and edges with twelve OLi4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 1–7°. In the second O2- site, O2- is bonded to five Li1+ and one Co+2.80+ atom to form OLi5Co octahedra that share corners with six OLi3Mn2Co octahedra and edges with twelve OLi4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 2–13°. In the third O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two equivalent Co+2.80+ atoms to form distorted OLi3MnCo2 octahedra that share corners with six OLi4Co2 octahedra and edges with twelve OLi5Co octahedra. The corner-sharing octahedra tilt angles range from 1–18°. In the fourth O2- site, O2- is bonded to three Li1+, two equivalent Mn+4.50+, and one Co+2.80+ atom to form OLi3Mn2Co octahedra that share corners with six OLi3Mn2Co octahedra and edges with twelve OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 2–6°. In the fifth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form OLi3Co3 octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 1–3°. In the sixth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. In the seventh O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the eighth O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two equivalent Co+2.80+ atoms to form OLi3MnCo2 octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 2–8°. In the ninth O2- site, O2- is bonded to four Li1+ and two equivalent Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi4Co2 octahedra. The corner-sharing octahedra tilt angles range from 1–18°. In the tenth O2- site, O2- is bonded to three Li1+, two equivalent Mn+4.50+, and one Co+2.80+ atom to form a mixture of distorted edge and corner-sharing OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 2–13°. In the eleventh O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two equivalent Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 1–3°. In the twelfth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. In the thirteenth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. In the fourteenth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–2°. In the fifteenth O2- site, O2- is bonded to three Li1+, two equivalent Mn+4.50+, and one Co+2.80+ atom to form a mixture of edge and corner-sharing OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 1–7°. In the sixteenth O2- site, O2- is bonded to five Li1+ and one Mn+4.50+ atom to form OLi5Mn octahedra that share corners with six OLi5Co octahedra and edges with twelve OLi4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 2–8°.

36 MATERIALS SCIENCE↗

Materials Data on Li4Mn3Sn3(SbO8)2 by Materials Project

Li4Mn3Sn3(SbO8)2 is Spinel-derived structured and crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are four inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three equivalent SbO6 octahedra, corners with four SnO6 octahedra, and corners with five MnO6 octahedra. The corner-sharing octahedra tilt angles range from 48–64°. There are a spread of Li–O bond distances ranging from 2.01–2.09 Å. In the second Li1+ site, Li1+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.82–2.22 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with two equivalent SnO6 octahedra, corners with three equivalent SbO6 octahedra, an edgeedge with one SnO6 octahedra, and edges with two equivalent MnO6 octahedra. The corner-sharing octahedra tilt angles range from 55–68°. There are a spread of Li–O bond distances ranging from 1.86–2.12 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three equivalent SbO6 octahedra, corners with four MnO6 octahedra, and corners with five SnO6 octahedra. The corner-sharing octahedra tilt angles range from 55–63°. There are a spread of Li–O bond distances ranging from 1.94–2.20 Å. There are two inequivalent Mn2+ sites. In the first Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent SbO6 octahedra, corners with four LiO4 tetrahedra, an edgeedge with one SbO6 octahedra, and edges with four equivalent SnO6 octahedra. The corner-sharing octahedral tilt angles are 50°. There are a spread of Mn–O bond distances ranging from 2.12–2.23 Å. In the second Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent SbO6 octahedra, corners with three LiO4 tetrahedra, an edgeedge with one SbO6 octahedra, edges with two equivalent MnO6 octahedra, edges with two equivalent SnO6 octahedra, and an edgeedge with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 50–51°. There are a spread of Mn–O bond distances ranging from 2.07–2.33 Å. There are two inequivalent Sn4+ sites. In the first Sn4+ site, Sn4+ is bonded to six O2- atoms to form SnO6 octahedra that share corners with two equivalent SbO6 octahedra, corners with four LiO4 tetrahedra, an edgeedge with one SbO6 octahedra, edges with two equivalent MnO6 octahedra, and edges with two equivalent SnO6 octahedra. The corner-sharing octahedral tilt angles are 51°. There are a spread of Sn–O bond distances ranging from 2.05–2.17 Å. In the second Sn4+ site, Sn4+ is bonded to six O2- atoms to form SnO6 octahedra that share corners with two equivalent SbO6 octahedra, corners with three LiO4 tetrahedra, an edgeedge with one SbO6 octahedra, edges with four equivalent MnO6 octahedra, and an edgeedge with one LiO4 tetrahedra. The corner-sharing octahedral tilt angles are 51°. There are a spread of Sn–O bond distances ranging from 2.00–2.21 Å. There are two inequivalent Sb5+ sites. In the first Sb5+ site, Sb5+ is bonded to six O2- atoms to form SbO6 octahedra that share corners with two equivalent SnO6 octahedra, corners with four equivalent MnO6 octahedra, corners with six LiO4 tetrahedra, an edgeedge with one MnO6 octahedra, and edges with two equivalent SnO6 octahedra. The corner-sharing octahedra tilt angles range from 50–51°. There are a spread of Sb–O bond distances ranging from 1.96–2.19 Å. In the second Sb5+ site, Sb5+ is bonded to six O2- atoms to form SbO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with four equivalent SnO6 octahedra, corners with three equivalent LiO4 tetrahedra, an edgeedge with one SnO6 octahedra, and edges with two equivalent MnO6 octahedra. The corner-sharing octahedra tilt angles range from 50–51°. There are a spread of Sb–O bond distances ranging from 1.97–2.27 Å. There are twelve inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Mn2+, one Sn4+, and one Sb5+ atom. In the second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two equivalent Sn4+, and one Sb5+ atom. In the third O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Mn2+, and two equivalent Sn4+ atoms. In the fourth O2- site, O2- is bonded to one Li1+, one Mn2+, and two equivalent Sn4+ atoms to form distorted corner-sharing OLiMnSn2 tetrahedra. In the fifth O2- site, O2- is bonded to one Li1+, two equivalent Mn2+, and one Sn4+ atom to form corner-sharing OLiMn2Sn tetrahedra. In the sixth O2- site, O2- is bonded to one Li1+, one Mn2+, one Sn4+, and one Sb5+ atom to form distorted OLiMnSnSb tetrahedra that share corners with three OLiMnSn2 tetrahedra and an edgeedge with one OLiMnSnSb tetrahedra. In the seventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two equivalent Sn4+, and one Sb5+ atom. In the eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two equivalent Mn2+, and one Sb5+ atom. In the ninth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Mn2+, one Sn4+, and one Sb5+ atom. In the tenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, two equivalent Mn2+, and one Sn4+ atom. In the eleventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Mn2+, one Sn4+, and one Sb5+ atom. In the twelfth O2- site, O2- is bonded to one Li1+, two equivalent Mn2+, and one Sb5+ atom to form distorted corner-sharing OLiMn2Sb tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on Li7Mn2(CoO4)3 by Materials Project

Li7Mn2(CoO4)3 is Caswellsilverite-derived structured and crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are seven inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three equivalent LiO6 octahedra, corners with three equivalent CoO6 octahedra, an edgeedge with one CoO6 octahedra, edges with four equivalent MnO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–12°. There are a spread of Li–O bond distances ranging from 2.02–2.20 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with 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 1–7°. There are a spread of Li–O bond distances ranging from 2.13–2.18 Å. In the third 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 1–8°. There are a spread of Li–O bond distances ranging from 2.04–2.39 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 CoO6 octahedra, edges with four equivalent MnO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–15°. There are a spread of Li–O bond distances ranging from 2.09–2.21 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three equivalent MnO6 octahedra, corners with three equivalent CoO6 octahedra, an edgeedge with one MnO6 octahedra, an edgeedge with one CoO6 octahedra, and edges with ten LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–11°. There are a spread of Li–O bond distances ranging from 2.09–2.34 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 MnO6 octahedra, an edgeedge with one MnO6 octahedra, edges with four equivalent CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–11°. There are a spread of Li–O bond distances ranging from 1.98–2.35 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with two equivalent CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–12°. There are a spread of Li–O bond distances ranging from 2.07–2.16 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 two equivalent CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–8°. There are a spread of Mn–O bond distances ranging from 1.83–2.09 Å. In the second Mn+4.50+ site, Mn+4.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–10°. There are a spread of Mn–O bond distances ranging from 1.90–2.00 Å. There are three inequivalent Co+2.67+ sites. In the first Co+2.67+ site, Co+2.67+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 1–8°. There are a spread of Co–O bond distances ranging from 2.00–2.07 Å. In the second Co+2.67+ site, Co+2.67+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 1–11°. There are a spread of Co–O bond distances ranging from 1.97–2.21 Å. In the third Co+2.67+ site, Co+2.67+ is bonded to six O2- atoms to form distorted CoO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with two equivalent CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–15°. There are a spread of Co–O bond distances ranging from 1.77–2.34 Å. There are twelve inequivalent O2- sites. In the first O2- site, O2- is bonded to four Li1+ and two equivalent Mn+4.50+ atoms to form OLi4Mn2 octahedra that share corners with six OLi3Mn2Co octahedra and edges with twelve OLi4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 1–7°. In the second O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two equivalent Co+2.67+ atoms to form OLi3MnCo2 octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 3–6°. In the third O2- site, O2- is bonded to three Li1+ and three Co+2.67+ atoms to form OLi3Co3 octahedra that share corners with six OLi3Mn2Co octahedra and edges with twelve OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 1–4°. In the fourth O2- site, O2- is bonded to three Li1+, two equivalent Mn+4.50+, and one Co+2.67+ atom to form a mixture of edge and corner-sharing OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 2–7°. In the fifth O2- site, O2- is bonded to five Li1+ and one Co+2.67+ atom to form OLi5Co octahedra that share corners with six OLi3Mn2Co octahedra and edges with twelve OLi4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 2–12°. In the sixth O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two equivalent Co+2.67+ atoms to form distorted OLi3MnCo2 octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 0–17°. In the seventh O2- site, O2- is bonded to three Li1+, two equivalent Mn+4.50+, and one Co+2.67+ atom to form a mixture of edge and corner-sharing OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 1–7°. In the eighth O2- site, O2- is bonded to three Li1+ and three Co+2.67+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 3–7°. In the ninth O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two equivalent Co+2.67+ atoms to form OLi3MnCo2 octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the tenth O2- site, O2- is bonded to three Li1+, two equivalent Mn+4.50+, and one Co+2.67+ atom to form distorted OLi3Mn2Co octahedra that share corners with six OLi5Co octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 2–12°. In the eleventh O2- site, O2- is bonded to five Li1+ and one Mn+4.50+ atom to form OLi5Mn octahedra that share corners with six OLi5Co octahedra and edges with twelve OLi4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 2–6°. In the twelfth O2- site, O2- is bonded to four Li1+ and two equivalent Co+2.67+ atoms to form OLi4Co2 octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 1–17°.

36 MATERIALS SCIENCE↗

Materials Data on Li7Mn2(CoO4)3 by Materials Project

Li7Mn2(CoO4)3 is Caswellsilverite-derived structured and crystallizes in the trigonal P-3m1 space group. The structure is three-dimensional. there are four 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 equivalent MnO6 octahedra, edges with three equivalent CoO6 octahedra, and edges with six equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–8°. There are three shorter (2.16 Å) and three longer (2.20 Å) Li–O bond lengths. 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, edges with three equivalent MnO6 octahedra, edges with three equivalent CoO6 octahedra, and edges with six equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 0–9°. There are three shorter (2.04 Å) and three longer (2.26 Å) Li–O bond lengths. 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 three equivalent CoO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–9°. There are three shorter (2.02 Å) and three longer (2.24 Å) Li–O bond lengths. In the fourth Li1+ site, Li1+ is bonded to six equivalent O2- atoms to form a mixture of corner and edge-sharing LiO6 octahedra. The corner-sharing octahedral tilt angles are 3°. All Li–O bond lengths are 2.10 Å. Mn+4.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six equivalent MnO6 octahedra. The corner-sharing octahedra tilt angles range from 6–9°. There are three shorter (2.02 Å) and three longer (2.04 Å) Mn–O bond lengths. There are two inequivalent Co+2.67+ sites. In the first Co+2.67+ site, Co+2.67+ is bonded to six equivalent O2- atoms to form CoO6 octahedra that share corners with six equivalent LiO6 octahedra, edges with six equivalent LiO6 octahedra, and edges with six equivalent CoO6 octahedra. The corner-sharing octahedral tilt angles are 8°. All Co–O bond lengths are 1.97 Å. In the second Co+2.67+ site, Co+2.67+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six equivalent CoO6 octahedra. The corner-sharing octahedra tilt angles range from 0–9°. There are three shorter (2.00 Å) and three longer (2.05 Å) Co–O bond lengths. There are six inequivalent O2- sites. In the first O2- site, O2- is bonded to three equivalent Li1+ and three equivalent Mn+4.50+ atoms to form a mixture of corner and edge-sharing OLi3Mn3 octahedra. The corner-sharing octahedra tilt angles range from 1–8°. In the second O2- site, O2- is bonded to three equivalent Li1+ and three equivalent Co+2.67+ atoms to form OLi3Co3 octahedra that share corners with six OLi6 octahedra and edges with twelve OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 3–8°. In the third O2- site, O2- is bonded to six Li1+ atoms to form a mixture of corner and edge-sharing OLi6 octahedra. The corner-sharing octahedra tilt angles range from 0–8°. In the fourth O2- site, O2- is bonded to three equivalent Li1+ and three equivalent Co+2.67+ atoms to form a mixture of corner and edge-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 3–8°. In the fifth O2- site, O2- is bonded to three equivalent Li1+ and three equivalent Mn+4.50+ atoms to form OLi3Mn3 octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi3Mn3 octahedra. The corner-sharing octahedral tilt angles are 1°. In the sixth O2- site, O2- is bonded to three equivalent Li1+ and three equivalent Co+2.67+ atoms to form a mixture of corner and edge-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 0–1°.

36 MATERIALS SCIENCE↗

Materials Data on 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 LiO6 octahedra, corners with three equivalent CoO6 octahedra, an edgeedge with one CoO6 octahedra, edges with four equivalent MnO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–13°. There are a spread of Li–O bond distances ranging from 1.99–2.27 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 five CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–10°. There are a spread of Li–O bond distances ranging from 2.08–2.28 Å. In the third 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 3–8°. There are a spread of Li–O bond distances ranging from 2.06–2.20 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 CoO6 octahedra, edges with four equivalent MnO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–8°. There are a spread of Li–O bond distances ranging from 2.11–2.20 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, an edgeedge with one MnO6 octahedra, edges with five CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–8°. There are a spread of Li–O bond distances ranging from 2.09–2.21 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three equivalent MnO6 octahedra, corners with three equivalent CoO6 octahedra, an edgeedge with one MnO6 octahedra, an edgeedge with one CoO6 octahedra, and edges with ten LiO6 octahedra. The corner-sharing octahedra tilt angles range from 1–9°. There are a spread of Li–O bond distances ranging from 2.07–2.52 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 3–15°. There are a spread of Li–O bond distances ranging from 2.06–2.15 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 six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 3–9°. There are a spread of Li–O bond distances ranging from 2.07–2.30 Å. In the ninth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with two equivalent CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–15°. There are a spread of Li–O bond distances ranging from 2.04–2.21 Å. There are two inequivalent Mn+4.50+ sites. In the first Mn+4.50+ site, Mn+4.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with two equivalent CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 1–8°. There are a spread of Mn–O bond distances ranging from 1.83–2.08 Å. In the second Mn+4.50+ site, Mn+4.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–7°. There are a spread of Mn–O bond distances ranging from 1.97–2.22 Å. There are five inequivalent Co+2.80+ sites. In the first Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–12°. There are a spread of Co–O bond distances ranging from 1.94–2.16 Å. In the second Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–10°. There are a spread of Co–O bond distances ranging from 1.99–2.12 Å. In the third Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–7°. There are a spread of Co–O bond distances ranging from 1.94–2.21 Å. In the fourth Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 3–9°. There are a spread of Co–O bond distances ranging from 1.98–2.13 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 four CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–9°. There are a spread of Co–O bond distances ranging from 1.72–2.08 Å. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded to four Li1+ and two equivalent Mn+4.50+ atoms to form OLi4Mn2 octahedra that share corners with six OLi3Mn2Co octahedra and edges with twelve OLi4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 1–7°. In the second O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two equivalent Co+2.80+ atoms to form OLi3MnCo2 octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 2–8°. In the third O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form OLi3Co3 octahedra that share corners with six OLi3Mn2Co octahedra and edges with twelve OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 1–2°. In the fourth O2- site, O2- is bonded to three Li1+, two equivalent Mn+4.50+, and one Co+2.80+ atom to form a mixture of edge and corner-sharing OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 1–3°. In the 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 0–2°. In the sixth O2- site, O2- is bonded to five Li1+ and one Co+2.80+ atom to form distorted OLi5Co octahedra that share corners with six OLi5Mn octahedra and edges with twelve OLi4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 1–8°. In the seventh O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form OLi3Co3 octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi5Co octahedra. The corner-sharing octahedra tilt angles range from 0–8°. In the eighth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form OLi3Co3 octahedra that share corners with six OLi3Mn2Co octahedra and edges with twelve OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. In the ninth O2- site, O2- is bonded to three Li1+, two equivalent Mn+4.50+, and one Co+2.80+ atom to form a mixture of edge and corner-sharing OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 1–7°. In the tenth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–2°. In the eleventh 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 twelfth O2- site, O2- is bonded to three Li1+, two equivalent Mn+4.50+, and one Co+2.80+ atom to form a mixture of edge and corner-sharing OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the thirteenth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–3°. In the fourteenth O2- site, O2- is bonded to five Li1+ and one Mn+4.50+ atom to form OLi5Mn octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 1–8°. In the fifteenth O2- site, O2- is bonded to four Li1+ and two equivalent Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi4Co2 octahedra. The corner-sharing octahedra tilt angles range from 0–8°. In the sixteenth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–8°.

36 MATERIALS SCIENCE↗

Materials Data on TbYb2PrS6 by Materials Project

PrTbYb2S6 crystallizes in the monoclinic P2_1/m space group. The structure is three-dimensional. there are two inequivalent Yb3+ sites. In the first Yb3+ site, Yb3+ is bonded to six S2- atoms to form YbS6 octahedra that share corners with two equivalent SYb3Pr2S octahedra, corners with three equivalent YbS6 octahedra, and edges with four equivalent YbS6 octahedra. The corner-sharing octahedra tilt angles range from 59–66°. There are a spread of Yb–S bond distances ranging from 2.65–3.18 Å. In the second Yb3+ site, Yb3+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing YbS6 octahedra. The corner-sharing octahedra tilt angles range from 59–62°. There are a spread of Yb–S bond distances ranging from 2.55–3.09 Å. Tb3+ is bonded in a 6-coordinate geometry to six S2- atoms. There are a spread of Tb–S bond distances ranging from 2.65–3.04 Å. Pr3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Pr–S bond distances ranging from 2.83–3.07 Å. There are six inequivalent S2- sites. In the first S2- site, S2- is bonded to two equivalent Tb3+ and three equivalent Pr3+ atoms to form distorted STb2Pr3 trigonal bipyramids that share corners with four equivalent SYb3Pr2S octahedra, corners with five STb3Yb tetrahedra, an edgeedge with one SYb3Pr2S octahedra, edges with three STb3Yb tetrahedra, and edges with four equivalent STb2Pr3 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 24–56°. In the second S2- site, S2- is bonded to one Yb3+ and three equivalent Tb3+ atoms to form distorted STb3Yb tetrahedra that share corners with five STb3Yb tetrahedra, corners with four equivalent STb2Pr3 trigonal bipyramids, corners with three equivalent SYb4 trigonal pyramids, edges with two equivalent STb3Yb tetrahedra, and an edgeedge with one STb2Pr3 trigonal bipyramid. In the third S2- site, S2- is bonded to two equivalent Yb3+, one Tb3+, and one Pr3+ atom to form distorted STbYb2Pr tetrahedra that share corners with two equivalent SYb3Pr2S octahedra, corners with five STb3Yb tetrahedra, a cornercorner with one STb2Pr3 trigonal bipyramid, corners with two equivalent SYb4 trigonal pyramids, edges with three equivalent SYb3Pr2S octahedra, and edges with two equivalent STb2Pr3 trigonal bipyramids. The corner-sharing octahedral tilt angles are 12°. In the fourth S2- site, S2- is bonded in a 5-coordinate geometry to two equivalent Yb3+, two equivalent Pr3+, and one S2- atom. The S–S bond length is 2.12 Å. In the fifth S2- site, S2- is bonded to three equivalent Yb3+, two equivalent Pr3+, and one S2- atom to form distorted SYb3Pr2S octahedra that share corners with two equivalent YbS6 octahedra, corners with two equivalent STbYb2Pr tetrahedra, corners with four equivalent STb2Pr3 trigonal bipyramids, corners with three equivalent SYb4 trigonal pyramids, edges with four equivalent SYb3Pr2S octahedra, edges with three equivalent STbYb2Pr tetrahedra, and an edgeedge with one STb2Pr3 trigonal bipyramid. The corner-sharing octahedral tilt angles are 66°. In the sixth S2- site, S2- is bonded to four Yb3+ atoms to form distorted SYb4 trigonal pyramids that share corners with three equivalent SYb3Pr2S octahedra, corners with five STb3Yb tetrahedra, corners with two equivalent SYb4 trigonal pyramids, and edges with two equivalent SYb4 trigonal pyramids. The corner-sharing octahedra tilt angles range from 2–87°.

36 MATERIALS SCIENCE↗

Materials Data on Yb3Sb5O12 by Materials Project

Yb3Sb5O12 crystallizes in the cubic Im-3m space group. The structure is three-dimensional. there are eleven inequivalent Yb3+ sites. In the first Yb3+ site, Yb3+ is bonded in a body-centered cubic geometry to eight equivalent O2- atoms. All Yb–O bond lengths are 2.49 Å. In the second Yb3+ site, Yb3+ is bonded in a body-centered cubic geometry to eight equivalent O2- atoms. All Yb–O bond lengths are 2.49 Å. In the third Yb3+ site, Yb3+ is bonded in a body-centered cubic geometry to eight equivalent O2- atoms. All Yb–O bond lengths are 2.49 Å. In the fourth Yb3+ site, Yb3+ is bonded in a body-centered cubic geometry to eight equivalent O2- atoms. All Yb–O bond lengths are 2.49 Å. In the fifth Yb3+ site, Yb3+ is bonded in a body-centered cubic geometry to eight equivalent O2- atoms. All Yb–O bond lengths are 2.49 Å. In the sixth Yb3+ site, Yb3+ is bonded in a body-centered cubic geometry to eight equivalent O2- atoms. All Yb–O bond lengths are 2.49 Å. In the seventh Yb3+ site, Yb3+ is bonded in a body-centered cubic geometry to eight equivalent O2- atoms. All Yb–O bond lengths are 2.49 Å. In the eighth Yb3+ site, Yb3+ is bonded in a body-centered cubic geometry to eight equivalent O2- atoms. All Yb–O bond lengths are 2.49 Å. In the ninth Yb3+ site, Yb3+ is bonded in a body-centered cubic geometry to eight equivalent O2- atoms. All Yb–O bond lengths are 2.49 Å. In the tenth Yb3+ site, Yb3+ is bonded in a body-centered cubic geometry to eight equivalent O2- atoms. All Yb–O bond lengths are 2.49 Å. In the eleventh Yb3+ site, Yb3+ is bonded in a body-centered cubic geometry to eight equivalent O2- atoms. All Yb–O bond lengths are 2.49 Å. There are eighteen inequivalent Sb3+ sites. In the first Sb3+ site, Sb3+ is bonded in a 4-coordinate geometry to four equivalent O2- atoms. All Sb–O bond lengths are 2.08 Å. In the second Sb3+ site, Sb3+ is bonded in an octahedral geometry to six equivalent O2- atoms. All Sb–O bond lengths are 2.08 Å. In the third Sb3+ site, Sb3+ is bonded in a 4-coordinate geometry to four equivalent O2- atoms. All Sb–O bond lengths are 2.08 Å. In the fourth Sb3+ site, Sb3+ is bonded in a 4-coordinate geometry to four equivalent O2- atoms. All Sb–O bond lengths are 2.08 Å. In the fifth Sb3+ site, Sb3+ is bonded in a 4-coordinate geometry to four equivalent O2- atoms. All Sb–O bond lengths are 2.08 Å. In the sixth Sb3+ site, Sb3+ is bonded in an octahedral geometry to six equivalent O2- atoms. All Sb–O bond lengths are 2.08 Å. In the seventh Sb3+ site, Sb3+ is bonded in a 4-coordinate geometry to four equivalent O2- atoms. All Sb–O bond lengths are 2.08 Å. In the eighth Sb3+ site, Sb3+ is bonded in a 4-coordinate geometry to four equivalent O2- atoms. All Sb–O bond lengths are 2.08 Å. In the ninth Sb3+ site, Sb3+ is bonded in an octahedral geometry to six equivalent O2- atoms. All Sb–O bond lengths are 2.08 Å. In the tenth Sb3+ site, Sb3+ is bonded in an octahedral geometry to six equivalent O2- atoms. All Sb–O bond lengths are 2.08 Å. In the eleventh Sb3+ site, Sb3+ is bonded in a 4-coordinate geometry to four equivalent O2- atoms. All Sb–O bond lengths are 2.08 Å. In the twelfth Sb3+ site, Sb3+ is bonded in an octahedral geometry to six equivalent O2- atoms. All Sb–O bond lengths are 2.08 Å. In the thirteenth Sb3+ site, Sb3+ is bonded in a 4-coordinate geometry to four equivalent O2- atoms. All Sb–O bond lengths are 2.08 Å. In the fourteenth Sb3+ site, Sb3+ is bonded in a 4-coordinate geometry to four equivalent O2- atoms. All Sb–O bond lengths are 2.08 Å. In the fifteenth Sb3+ site, Sb3+ is bonded in a 4-coordinate geometry to four equivalent O2- atoms. All Sb–O bond lengths are 2.08 Å. In the sixteenth Sb3+ site, Sb3+ is bonded in an octahedral geometry to six equivalent O2- atoms. All Sb–O bond lengths are 2.08 Å. In the seventeenth Sb3+ site, Sb3+ is bonded in an octahedral geometry to six equivalent O2- atoms. All Sb–O bond lengths are 2.08 Å. In the eighteenth Sb3+ site, Sb3+ is bonded in an octahedral geometry to six equivalent O2- atoms. All Sb–O bond lengths are 2.08 Å. O2- is bonded to two Yb3+ and two Sb3+ atoms to form a mixture of distorted corner and edge-sharing OYb2Sb2 tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on BaLaCuSe3 by Materials Project

BaLaCuSe3 crystallizes in the orthorhombic Pnma space group. The structure is three-dimensional. Ba2+ is bonded to seven Se2- atoms to form distorted BaSe7 pentagonal bipyramids that share corners with six equivalent LaSe6 octahedra, corners with three equivalent CuSe4 tetrahedra, edges with four equivalent LaSe6 octahedra, edges with two equivalent BaSe7 pentagonal bipyramids, edges with three equivalent CuSe4 tetrahedra, and faces with two equivalent BaSe7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 21–73°. There are a spread of Ba–Se bond distances ranging from 3.31–3.59 Å. La3+ is bonded to six Se2- atoms to form LaSe6 octahedra that share corners with two equivalent LaSe6 octahedra, corners with six equivalent BaSe7 pentagonal bipyramids, edges with two equivalent LaSe6 octahedra, edges with four equivalent BaSe7 pentagonal bipyramids, and edges with four equivalent CuSe4 tetrahedra. The corner-sharing octahedral tilt angles are 38°. There are a spread of La–Se bond distances ranging from 2.97–3.03 Å. Cu1+ is bonded to four Se2- atoms to form CuSe4 tetrahedra that share corners with three equivalent BaSe7 pentagonal bipyramids, corners with two equivalent CuSe4 tetrahedra, edges with four equivalent LaSe6 octahedra, and edges with three equivalent BaSe7 pentagonal bipyramids. There are a spread of Cu–Se bond distances ranging from 2.47–2.59 Å. There are three inequivalent Se2- sites. In the first Se2- site, Se2- is bonded in a 6-coordinate geometry to three equivalent Ba2+, two equivalent La3+, and one Cu1+ atom. In the second Se2- site, Se2- is bonded to two equivalent Ba2+, two equivalent La3+, and two equivalent Cu1+ atoms to form distorted SeBa2La2Cu2 octahedra that share corners with two equivalent SeBa2La2Cu2 octahedra, corners with four equivalent SeBa2La2Cu square pyramids, edges with two equivalent SeBa2La2Cu2 octahedra, and edges with three equivalent SeBa2La2Cu square pyramids. The corner-sharing octahedral tilt angles are 6°. In the third Se2- site, Se2- is bonded to two equivalent Ba2+, two equivalent La3+, and one Cu1+ atom to form distorted SeBa2La2Cu square pyramids that share corners with four equivalent SeBa2La2Cu2 octahedra, edges with three equivalent SeBa2La2Cu2 octahedra, and edges with two equivalent SeBa2La2Cu square pyramids. The corner-sharing octahedra tilt angles range from 45–84°.

36 MATERIALS SCIENCE↗

Materials Data on EuDyCuS3 by Materials Project

DyEuCuS3 crystallizes in the orthorhombic Pnma space group. The structure is three-dimensional. Dy3+ is bonded to six S2- atoms to form DyS6 octahedra that share corners with two equivalent DyS6 octahedra, corners with six equivalent EuS7 pentagonal bipyramids, edges with two equivalent DyS6 octahedra, edges with four equivalent EuS7 pentagonal bipyramids, and edges with four equivalent CuS4 tetrahedra. The corner-sharing octahedral tilt angles are 43°. There are a spread of Dy–S bond distances ranging from 2.73–2.76 Å. Eu2+ is bonded to seven S2- atoms to form distorted EuS7 pentagonal bipyramids that share corners with six equivalent DyS6 octahedra, corners with three equivalent CuS4 tetrahedra, edges with four equivalent DyS6 octahedra, edges with two equivalent EuS7 pentagonal bipyramids, edges with three equivalent CuS4 tetrahedra, and faces with two equivalent EuS7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 22–69°. There are a spread of Eu–S bond distances ranging from 2.95–3.23 Å. Cu1+ is bonded to four S2- atoms to form CuS4 tetrahedra that share corners with three equivalent EuS7 pentagonal bipyramids, corners with two equivalent CuS4 tetrahedra, edges with four equivalent DyS6 octahedra, and edges with three equivalent EuS7 pentagonal bipyramids. There are a spread of Cu–S bond distances ranging from 2.32–2.38 Å. There are three inequivalent S2- sites. In the first S2- site, S2- is bonded in a 6-coordinate geometry to two equivalent Dy3+, three equivalent Eu2+, and one Cu1+ atom. In the second S2- site, S2- is bonded to two equivalent Dy3+, two equivalent Eu2+, and one Cu1+ atom to form distorted SEu2Dy2Cu square pyramids that share corners with four equivalent SEu2Dy2Cu2 octahedra, edges with three equivalent SEu2Dy2Cu2 octahedra, and edges with two equivalent SEu2Dy2Cu square pyramids. The corner-sharing octahedra tilt angles range from 46–87°. In the third S2- site, S2- is bonded to two equivalent Dy3+, two equivalent Eu2+, and two equivalent Cu1+ atoms to form distorted SEu2Dy2Cu2 octahedra that share corners with two equivalent SEu2Dy2Cu2 octahedra, corners with four equivalent SEu2Dy2Cu square pyramids, edges with two equivalent SEu2Dy2Cu2 octahedra, and edges with three equivalent SEu2Dy2Cu square pyramids. The corner-sharing octahedral tilt angles are 4°.

36 MATERIALS SCIENCE↗

Materials Data on Yb2PrDyS6 by Materials Project

PrDyYb2S6 crystallizes in the monoclinic P2_1/m space group. The structure is three-dimensional. there are two inequivalent Yb3+ sites. In the first Yb3+ site, Yb3+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing YbS6 octahedra. The corner-sharing octahedral tilt angles are 60°. There are a spread of Yb–S bond distances ranging from 2.55–3.09 Å. In the second Yb3+ site, Yb3+ is bonded to six S2- atoms to form YbS6 octahedra that share corners with two equivalent SYb3Pr2S octahedra, corners with three equivalent YbS6 octahedra, and edges with four equivalent YbS6 octahedra. The corner-sharing octahedra tilt angles range from 60–66°. There are a spread of Yb–S bond distances ranging from 2.65–3.17 Å. Dy3+ is bonded in a 6-coordinate geometry to six S2- atoms. There are a spread of Dy–S bond distances ranging from 2.64–3.03 Å. Pr3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Pr–S bond distances ranging from 2.84–3.05 Å. There are six inequivalent S2- sites. In the first S2- site, S2- is bonded to two equivalent Dy3+ and three equivalent Pr3+ atoms to form distorted SPr3Dy2 trigonal bipyramids that share corners with four equivalent SYb3Pr2S octahedra, corners with five SYb2PrDy tetrahedra, an edgeedge with one SYb3Pr2S octahedra, edges with three SYb2PrDy tetrahedra, and edges with four equivalent SPr3Dy2 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 24–56°. In the second S2- site, S2- is bonded to three equivalent Yb3+, two equivalent Pr3+, and one S2- atom to form distorted SYb3Pr2S octahedra that share corners with two equivalent YbS6 octahedra, corners with two equivalent SYb2PrDy tetrahedra, corners with four equivalent SPr3Dy2 trigonal bipyramids, corners with three equivalent SYb4 trigonal pyramids, edges with four equivalent SYb3Pr2S octahedra, edges with three equivalent SYb2PrDy tetrahedra, and an edgeedge with one SPr3Dy2 trigonal bipyramid. The corner-sharing octahedral tilt angles are 66°. The S–S bond length is 2.12 Å. In the third S2- site, S2- is bonded to four Yb3+ atoms to form distorted SYb4 trigonal pyramids that share corners with three equivalent SYb3Pr2S octahedra, corners with five SYb2PrDy tetrahedra, corners with two equivalent SYb4 trigonal pyramids, and edges with two equivalent SYb4 trigonal pyramids. The corner-sharing octahedra tilt angles range from 3–89°. In the fourth S2- site, S2- is bonded to two equivalent Yb3+, one Dy3+, and one Pr3+ atom to form distorted SYb2PrDy tetrahedra that share corners with two equivalent SYb3Pr2S octahedra, corners with five SYb2PrDy tetrahedra, a cornercorner with one SPr3Dy2 trigonal bipyramid, corners with two equivalent SYb4 trigonal pyramids, edges with three equivalent SYb3Pr2S octahedra, and edges with two equivalent SPr3Dy2 trigonal bipyramids. The corner-sharing octahedral tilt angles are 12°. In the fifth S2- site, S2- is bonded to one Yb3+ and three equivalent Dy3+ atoms to form distorted SYbDy3 tetrahedra that share corners with five SYb2PrDy tetrahedra, corners with four equivalent SPr3Dy2 trigonal bipyramids, corners with three equivalent SYb4 trigonal pyramids, edges with two equivalent SYbDy3 tetrahedra, and an edgeedge with one SPr3Dy2 trigonal bipyramid. In the sixth S2- site, S2- is bonded in a 5-coordinate geometry to two equivalent Yb3+, two equivalent Pr3+, and one S2- atom.

36 MATERIALS SCIENCE↗