Engineering Papers⌕ Search

SEARCH · Engineering Papers

Results for “equivalent”

Search indexed NASA NTRS and DOE OSTI research on propulsion, heat transfer, battery materials and energy systems. Follow report and document links to the original sources.

Quote a phrase for an exact phrase match. Source license links do not imply unrestricted reuse.

At least 1,621 records · Page 90

Materials Data on Li9Mn2Co5O16 by Materials Project

Li9Mn2Co5O16 is Caswellsilverite-derived structured and crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are nine inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one CoO6 octahedra, corners with two equivalent LiO6 octahedra, corners with two equivalent MnO6 octahedra, edges with three equivalent MnO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–13°. There are a spread of Li–O bond distances ranging from 2.02–2.27 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with two MnO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–11°. There are a spread of Li–O bond distances ranging from 2.05–2.58 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one CoO6 octahedra, corners with two equivalent MnO6 octahedra, edges with three equivalent MnO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–11°. There are a spread of Li–O bond distances ranging from 1.99–2.29 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share 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 2.07–2.20 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one MnO6 octahedra, corners with five CoO6 octahedra, edges with six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 6–8°. There are a spread of Li–O bond distances ranging from 2.11–2.32 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 2–6°. There are a spread of Li–O bond distances ranging from 2.08–2.25 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one MnO6 octahedra, corners with five CoO6 octahedra, edges with 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 2.08–2.26 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 6–12°. There are a spread of Li–O bond distances ranging from 2.04–2.22 Å. In the ninth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 11–13°. There are a spread of Li–O bond distances ranging from 2.06–2.16 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 2–12°. There are a spread of Mn–O bond distances ranging from 1.82–2.12 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 two equivalent CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–11°. There are a spread of Mn–O bond distances ranging from 1.89–2.03 Å. There are five inequivalent Co+2.80+ sites. In the first Co+2.80+ site, Co+2.80+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Co–O bond distances ranging from 1.77–2.50 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 3–8°. There are a spread of Co–O bond distances ranging from 1.97–2.14 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 5–8°. There are a spread of Co–O bond distances ranging from 1.97–2.20 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 2.00–2.10 Å. In the fifth Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–8°. There are a spread of Co–O bond distances ranging from 1.95–2.13 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 1–7°. 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 five OLi5Co octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 3–14°. 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 four OLi5Co octahedra and edges with nine OLi5Mn octahedra. The corner-sharing octahedra tilt angles range from 0–15°. In the fourth O2- site, O2- is bonded to three Li1+, two equivalent Mn+4.50+, and one Co+2.80+ atom to form distorted OLi3Mn2Co octahedra that share corners with four OLi5Co octahedra and edges with nine OLi4Co2 octahedra. The corner-sharing octahedra tilt angles range from 0–9°. 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 0–6°. In the sixth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form OLi3Co3 octahedra that share corners with six OLi3Mn2Co octahedra and edges with twelve OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 2–6°. In the seventh O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–3°. In the eighth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form OLi3Co3 octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 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 ten OLi5Mn octahedra. The corner-sharing octahedra tilt angles range from 2–15°. In the tenth O2- site, O2- is bonded in a 6-coordinate geometry to three Li1+, one Mn+4.50+, and two equivalent Co+2.80+ atoms. In the eleventh O2- site, O2- is bonded to three Li1+, two equivalent Mn+4.50+, and one Co+2.80+ atom to form OLi3Mn2Co octahedra that share corners with six OLi4Co2 octahedra and edges with ten OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 3–4°. In the twelfth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form OLi3Co3 octahedra that share corners with six OLi3Mn2Co octahedra and edges with twelve OLi3MnCo2 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 OLi3Co3 octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. 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 OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–3°. In the fifteenth O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two equivalent Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 1–4°. In the sixteenth O2- site, O2- is bonded to four Li1+ and two equivalent Mn+4.50+ atoms to form a mixture of edge and corner-sharing OLi4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 0–14°.

36 MATERIALS SCIENCE↗

Materials Data on LiNiPO4F by Materials Project

LiNiPO4F 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 in a 4-coordinate geometry to three O2- and two F1- atoms. There is two shorter (1.99 Å) and one longer (2.00 Å) Li–O bond length. There are one shorter (1.95 Å) and one longer (2.51 Å) Li–F bond lengths. In the second Li1+ site, Li1+ is bonded to four O2- and one F1- atom to form distorted LiO4F trigonal bipyramids that share corners with two equivalent NiO4F2 octahedra, corners with four PO4 tetrahedra, and edges with two equivalent NiO4F2 octahedra. The corner-sharing octahedral tilt angles are 59°. There are a spread of Li–O bond distances ranging from 2.02–2.43 Å. The Li–F bond length is 1.89 Å. In the third Li1+ site, Li1+ is bonded to four O2- and one F1- atom to form distorted LiO4F trigonal bipyramids that share corners with two equivalent NiO4F2 octahedra, corners with four PO4 tetrahedra, and edges with two equivalent NiO4F2 octahedra. The corner-sharing octahedral tilt angles are 63°. There are a spread of Li–O bond distances ranging from 2.00–2.46 Å. The Li–F bond length is 1.95 Å. In the fourth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to three O2- and two F1- atoms. There is one shorter (1.96 Å) and two longer (2.01 Å) Li–O bond length. There are one shorter (1.94 Å) and one longer (2.54 Å) Li–F bond lengths. In the fifth Li1+ site, Li1+ is bonded in a 5-coordinate geometry to four O2- and two F1- atoms. There are a spread of Li–O bond distances ranging from 1.98–2.34 Å. There are one shorter (2.42 Å) and one longer (2.76 Å) Li–F bond lengths. In the sixth Li1+ site, Li1+ is bonded in a 5-coordinate geometry to four O2- and one F1- atom. There are a spread of Li–O bond distances ranging from 2.00–2.44 Å. The Li–F bond length is 1.90 Å. In the seventh Li1+ site, Li1+ is bonded in a 6-coordinate geometry to four O2- and two F1- atoms. There are a spread of Li–O bond distances ranging from 1.98–2.68 Å. There are one shorter (1.88 Å) and one longer (2.41 Å) Li–F bond lengths. There are four inequivalent Ni3+ sites. In the first Ni3+ site, Ni3+ is bonded to four O2- and two F1- atoms to form NiO4F2 octahedra that share corners with four PO4 tetrahedra, edges with two equivalent NiO4F2 octahedra, and an edgeedge with one LiO4F trigonal bipyramid. There are a spread of Ni–O bond distances ranging from 2.01–2.12 Å. Both Ni–F bond lengths are 2.04 Å. In the second Ni3+ site, Ni3+ is bonded to four O2- and two F1- atoms to form NiO4F2 octahedra that share corners with four PO4 tetrahedra, a cornercorner with one LiO4F trigonal bipyramid, and edges with two equivalent NiO4F2 octahedra. There are a spread of Ni–O bond distances ranging from 2.04–2.12 Å. There are one shorter (2.04 Å) and one longer (2.05 Å) Ni–F bond lengths. In the third Ni3+ site, Ni3+ is bonded to four O2- and two F1- atoms to form NiO4F2 octahedra that share corners with four PO4 tetrahedra, edges with two equivalent NiO4F2 octahedra, and an edgeedge with one LiO4F trigonal bipyramid. There are a spread of Ni–O bond distances ranging from 2.03–2.12 Å. There are one shorter (2.02 Å) and one longer (2.05 Å) Ni–F bond lengths. In the fourth Ni3+ site, Ni3+ is bonded to four O2- and two F1- atoms to form NiO4F2 octahedra that share corners with four PO4 tetrahedra, a cornercorner with one LiO4F trigonal bipyramid, and edges with two equivalent NiO4F2 octahedra. There are a spread of Ni–O bond distances ranging from 2.00–2.14 Å. There are one shorter (2.00 Å) and one longer (2.03 Å) Ni–F bond lengths. There are eight inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four NiO4F2 octahedra and a cornercorner with one LiO4F trigonal bipyramid. The corner-sharing octahedra tilt angles range from 53–61°. There are a spread of P–O bond distances ranging from 1.53–1.57 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four NiO4F2 octahedra and corners with two equivalent LiO4F trigonal bipyramids. The corner-sharing octahedra tilt angles range from 49–55°. There is one shorter (1.54 Å) and three longer (1.55 Å) P–O bond length. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four NiO4F2 octahedra and corners with two equivalent LiO4F trigonal bipyramids. The corner-sharing octahedra tilt angles range from 48–55°. There is two shorter (1.54 Å) and two longer (1.55 Å) P–O bond length. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four NiO4F2 octahedra and a cornercorner with one LiO4F trigonal bipyramid. The corner-sharing octahedra tilt angles range from 51–57°. There is one shorter (1.54 Å) and three longer (1.55 Å) P–O bond length. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four NiO4F2 octahedra and a cornercorner with one LiO4F trigonal bipyramid. The corner-sharing octahedra tilt angles range from 53–56°. There are a spread of P–O bond distances ranging from 1.54–1.56 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four NiO4F2 octahedra. The corner-sharing octahedra tilt angles range from 50–56°. There are a spread of P–O bond distances ranging from 1.52–1.56 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four NiO4F2 octahedra. The corner-sharing octahedra tilt angles range from 47–55°. There is three shorter (1.55 Å) and one longer (1.56 Å) P–O bond length. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four NiO4F2 octahedra and a cornercorner with one LiO4F trigonal bipyramid. The corner-sharing octahedra tilt angles range from 55–56°. There are a spread of P–O bond distances ranging from 1.54–1.56 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two equivalent Ni3+, and one P5+ atom. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Ni3+, and one P5+ atom. In the third O2- site, O2- is bonded in a 1-coordinate geometry to one Li1+, two equivalent Ni3+, and one P5+ atom. In the fourth O2- site, O2- is bonded in a bent 120 degrees geometry to one Li1+ and one P5+ atom. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Ni3+, and one P5+ atom. In the sixth O2- site, O2- is bonded in a bent 120 degrees geometry to one Li1+ and one P5+ atom. In the seventh O2- site, O2- is bonded in a single-bond geometry to one P5+ atom. In the eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Ni3+, and one P5+ atom. In the ninth O2- site, O2- is bonded in a bent 120 degrees geometry to one Li1+ and one P5+ atom. In the tenth O2- site, O2- is bonded in a 1-coordinate geometry to two equivalent Ni3+ and one P5+ atom. In the eleventh O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Ni3+ and one P5+ atom. In the twelfth O2- site, O2- is bonded in a 1-coordinate geometry to one Li1+, two equivalent Ni3+, and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a 3-coordinate geometry to two equivalent Ni3+ and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Ni3+, and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a 3-coordinate geometry to two equivalent Ni3+ and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a tetrahedral geometry to three Li1+ and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Ni3+, and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a bent 120 degrees geometry to one Li1+ and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Li1+ and one P5+ atom. In the twentieth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Ni3+, and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a single-bond geometry to one P5+ atom. In the twenty-second O2- site, O2- is bonded in a 3-coordinate geometry to two equivalent Ni3+ and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Ni3+, and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two equivalent Ni3+, and one P5+ atom. There are eight inequivalent F1- sites. In the first F1- site, F1- is bonded in a distorted trigonal planar geometry to one Li1+ and two equivalent Ni3+ atoms. In the second F1- site, F1- is bonded in a 4-coordinate geometry to two Li1+ and two equivalent Ni3+ atoms. In the third F1- site, F1- is bonded in a distorted trigonal planar geometry to one Li1+ and two equivalent Ni3+ atoms. In the fourth F1- site, F1- is bonded in a distorted trigonal non-coplanar geometry to one Li1+ and two equivalent Ni3+ atoms. In the fifth F1- site, F1- is bonded in a distorted water-like geometry to two equivalent Li1+ and two equivalent Ni3+ atoms. In the sixth F1- site, F1- is bonded in a 4-coordinate geometry to two Li1+ and two equivalent Ni3+ atoms. In the seventh F1- site, F1- is bonded in a 5-coordinate geometry to three Li1+ and two equivalent Ni3+ atoms. In the eighth F1- site, F1- is bonded in a distorted trigonal non-coplanar geometry to one Li1+ and two equivalent Ni3+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on MoPt by Materials Project

PtMo crystallizes in the orthorhombic Amm2 space group. The structure is three-dimensional. there are three inequivalent Mo2+ sites. In the first Mo2+ site, Mo2+ is bonded in a 8-coordinate geometry to eight Pt2- atoms. There are a spread of Mo–Pt bond distances ranging from 2.78–2.84 Å. In the second Mo2+ site, Mo2+ is bonded to eight Pt2- atoms to form distorted MoPt8 hexagonal bipyramids that share corners with eight PtMo8Pt4 cuboctahedra, corners with eight equivalent MoPt8 hexagonal bipyramids, corners with four equivalent MoPt6 octahedra, edges with twelve PtMo8Pt4 cuboctahedra, edges with four equivalent MoPt6 octahedra, faces with two equivalent PtMo6Pt6 cuboctahedra, and faces with four equivalent MoPt6 octahedra. The corner-sharing octahedral tilt angles are 59°. There are a spread of Mo–Pt bond distances ranging from 2.79–2.84 Å. In the third Mo2+ site, Mo2+ is bonded to six Pt2- atoms to form distorted MoPt6 octahedra that share corners with twelve PtMo8Pt4 cuboctahedra, corners with two equivalent MoPt8 hexagonal bipyramids, corners with seven equivalent MoPt6 octahedra, edges with five PtMo8Pt4 cuboctahedra, edges with two equivalent MoPt8 hexagonal bipyramids, edges with two equivalent MoPt6 octahedra, faces with two equivalent PtMo6Pt6 cuboctahedra, faces with two equivalent MoPt8 hexagonal bipyramids, and a faceface with one MoPt6 octahedra. The corner-sharing octahedra tilt angles range from 3–123°. There are a spread of Mo–Pt bond distances ranging from 2.75–2.84 Å. There are three inequivalent Pt2- sites. In the first Pt2- site, Pt2- is bonded to eight Mo2+ and four equivalent Pt2- atoms to form PtMo8Pt4 cuboctahedra that share corners with six equivalent PtMo8Pt4 cuboctahedra, corners with four equivalent MoPt8 hexagonal bipyramids, corners with four equivalent MoPt6 octahedra, edges with eight equivalent PtMo6Pt6 cuboctahedra, edges with two equivalent MoPt8 hexagonal bipyramids, edges with two equivalent MoPt6 octahedra, and faces with twelve PtMo8Pt4 cuboctahedra. The corner-sharing octahedral tilt angles are 32°. All Pt–Pt bond lengths are 2.78 Å. In the second Pt2- site, Pt2- is bonded to six Mo2+ and six Pt2- atoms to form PtMo6Pt6 cuboctahedra that share corners with fourteen PtMo6Pt6 cuboctahedra, corners with two equivalent MoPt8 hexagonal bipyramids, corners with six equivalent MoPt6 octahedra, edges with eight PtMo8Pt4 cuboctahedra, edges with three equivalent MoPt8 hexagonal bipyramids, edges with four equivalent MoPt6 octahedra, faces with eight PtMo8Pt4 cuboctahedra, a faceface with one MoPt8 hexagonal bipyramid, and faces with two equivalent MoPt6 octahedra. The corner-sharing octahedra tilt angles range from 58–91°. There are a spread of Pt–Pt bond distances ranging from 2.81–2.86 Å. In the third Pt2- site, Pt2- is bonded to eight Mo2+ and four equivalent Pt2- atoms to form PtMo8Pt4 cuboctahedra that share corners with fourteen PtMo6Pt6 cuboctahedra, corners with eight equivalent MoPt6 octahedra, edges with four equivalent PtMo6Pt6 cuboctahedra, edges with four equivalent MoPt8 hexagonal bipyramids, and faces with twelve PtMo8Pt4 cuboctahedra. The corner-sharing octahedra tilt angles range from 61–119°.

36 MATERIALS SCIENCE↗

Materials Data on ZrGa6(FeCo)3 by Materials Project

ZrGa6(FeCo)3 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. Zr is bonded to four Fe, six Co, and eight Ga atoms to form distorted ZrGa8Fe4Co6 hexagonal bipyramids that share corners with six equivalent ZrGa8Fe4Co6 hexagonal bipyramids, edges with four CoZr2Ga6Fe3Co cuboctahedra, faces with eight CoZr2Ga6Fe3Co cuboctahedra, faces with twelve FeGa6Co4 cuboctahedra, and faces with two equivalent ZrGa8Fe4Co6 hexagonal bipyramids. There are two shorter (3.23 Å) and two longer (3.25 Å) Zr–Fe bond lengths. There are a spread of Zr–Co bond distances ranging from 3.19–3.25 Å. There are a spread of Zr–Ga bond distances ranging from 2.80–2.94 Å. There are three inequivalent Fe sites. In the first Fe site, Fe is bonded to four Co and six Ga atoms to form distorted FeGa6Co4 cuboctahedra that share corners with four equivalent CoZr2Ga6Fe3Co cuboctahedra, corners with ten FeGa6Co4 cuboctahedra, edges with two equivalent CoZr2Ga6Fe3Co cuboctahedra, edges with four FeZr2Ga6Fe2Co2 cuboctahedra, faces with four CoZr2Ga6Fe3Co cuboctahedra, and faces with four equivalent ZrGa8Fe4Co6 hexagonal bipyramids. There are two shorter (2.48 Å) and two longer (2.49 Å) Fe–Co bond lengths. There are a spread of Fe–Ga bond distances ranging from 2.50–2.60 Å. In the second Fe site, Fe is bonded to two equivalent Zr, two equivalent Fe, two equivalent Co, and six Ga atoms to form distorted FeZr2Ga6Fe2Co2 cuboctahedra that share corners with six CoZr2Ga6Fe3Co cuboctahedra, corners with ten FeGa6Co4 cuboctahedra, edges with two equivalent FeGa6Co4 cuboctahedra, edges with four CoZr2Ga6Fe3Co cuboctahedra, faces with two equivalent FeZr2Ga6Fe2Co2 cuboctahedra, faces with six CoZr2Ga6Fe3Co cuboctahedra, and faces with four equivalent ZrGa8Fe4Co6 hexagonal bipyramids. Both Fe–Fe bond lengths are 2.49 Å. Both Fe–Co bond lengths are 2.46 Å. There are a spread of Fe–Ga bond distances ranging from 2.53–2.60 Å. In the third Fe site, Fe is bonded to two equivalent Zr, two equivalent Fe, two equivalent Co, and six Ga atoms to form distorted FeZr2Ga6Fe2Co2 cuboctahedra that share corners with six CoZr2Ga6Fe3Co cuboctahedra, corners with ten FeGa6Co4 cuboctahedra, edges with two equivalent FeGa6Co4 cuboctahedra, edges with four CoZr2Ga6Fe3Co cuboctahedra, faces with two equivalent FeZr2Ga6Fe2Co2 cuboctahedra, faces with six CoZr2Ga6Fe3Co cuboctahedra, and faces with four equivalent ZrGa8Fe4Co6 hexagonal bipyramids. Both Fe–Co bond lengths are 2.48 Å. There are a spread of Fe–Ga bond distances ranging from 2.53–2.60 Å. There are two inequivalent Co sites. In the first Co site, Co is bonded to two equivalent Zr, three Fe, one Co, and six Ga atoms to form distorted CoZr2Ga6Fe3Co cuboctahedra that share corners with six FeGa6Co4 cuboctahedra, corners with eight CoZr2Ga6Fe3Co cuboctahedra, edges with three FeGa6Co4 cuboctahedra, edges with four CoZr2Ga6Fe3Co cuboctahedra, an edgeedge with one ZrGa8Fe4Co6 hexagonal bipyramid, faces with three CoZr2Ga6Fe3Co cuboctahedra, faces with five FeGa6Co4 cuboctahedra, and faces with three equivalent ZrGa8Fe4Co6 hexagonal bipyramids. The Co–Co bond length is 2.54 Å. There are a spread of Co–Ga bond distances ranging from 2.53–2.62 Å. In the second Co site, Co is bonded to two equivalent Zr, two equivalent Fe, two equivalent Co, and six Ga atoms to form distorted CoZr2Ga6Fe2Co2 cuboctahedra that share corners with four FeZr2Ga6Fe2Co2 cuboctahedra, corners with eight CoZr2Ga6Fe3Co cuboctahedra, edges with two equivalent CoZr2Ga6Fe3Co cuboctahedra, edges with four FeZr2Ga6Fe2Co2 cuboctahedra, edges with two equivalent ZrGa8Fe4Co6 hexagonal bipyramids, faces with four equivalent CoZr2Ga6Fe3Co cuboctahedra, faces with six FeGa6Co4 cuboctahedra, and faces with two equivalent ZrGa8Fe4Co6 hexagonal bipyramids. There are a spread of Co–Ga bond distances ranging from 2.50–2.55 Å. There are three inequivalent Ga sites. In the first Ga site, Ga is bonded in a 8-coordinate geometry to two equivalent Zr, three Fe, and three Co atoms. In the second Ga site, Ga is bonded in a 8-coordinate geometry to one Zr, three Fe, three Co, and one Ga atom. The Ga–Ga bond length is 2.74 Å. In the third Ga site, Ga is bonded in a 10-coordinate geometry to one Zr, three Fe, and three Co atoms.

36 MATERIALS SCIENCE↗

Materials Data on BaMgV2ZnO8 by Materials Project

BaMgV2ZnO8 crystallizes in the orthorhombic Iba2 space group. The structure is three-dimensional. Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with two equivalent MgO6 octahedra, corners with two equivalent ZnO6 octahedra, corners with four VO4 tetrahedra, edges with four VO4 tetrahedra, faces with two equivalent BaO12 cuboctahedra, faces with two equivalent MgO6 octahedra, and faces with two equivalent ZnO6 octahedra. The corner-sharing octahedral tilt angles are 51°. There are a spread of Ba–O bond distances ranging from 2.79–3.15 Å. Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with two equivalent BaO12 cuboctahedra, corners with six VO4 tetrahedra, an edgeedge with one MgO6 octahedra, an edgeedge with one ZnO6 octahedra, and faces with two equivalent BaO12 cuboctahedra. There are a spread of Mg–O bond distances ranging from 2.07–2.20 Å. There are three inequivalent V5+ sites. In the first V5+ site, V5+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with two equivalent BaO12 cuboctahedra, corners with two equivalent MgO6 octahedra, corners with four equivalent ZnO6 octahedra, and edges with two equivalent BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 45–56°. There is two shorter (1.73 Å) and two longer (1.77 Å) V–O bond length. In the second V5+ site, V5+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with two equivalent BaO12 cuboctahedra, corners with two equivalent ZnO6 octahedra, corners with four equivalent MgO6 octahedra, and edges with two equivalent BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 46–55°. There is two shorter (1.73 Å) and two longer (1.77 Å) V–O bond length. In the third V5+ site, V5+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with two equivalent BaO12 cuboctahedra, corners with three equivalent MgO6 octahedra, corners with three equivalent ZnO6 octahedra, and edges with two equivalent BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 45–56°. There is two shorter (1.73 Å) and two longer (1.77 Å) V–O bond length. Zn2+ is bonded to six O2- atoms to form ZnO6 octahedra that share corners with two equivalent BaO12 cuboctahedra, corners with six VO4 tetrahedra, an edgeedge with one MgO6 octahedra, an edgeedge with one ZnO6 octahedra, and faces with two equivalent BaO12 cuboctahedra. There are a spread of Zn–O bond distances ranging from 2.08–2.21 Å. There are eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to one Ba2+, two equivalent Mg2+, and one V5+ atom. In the second O2- site, O2- is bonded in a 3-coordinate geometry to one Ba2+, one V5+, and two equivalent Zn2+ atoms. In the third O2- site, O2- is bonded in a 2-coordinate geometry to two equivalent Ba2+, one V5+, and one Zn2+ atom. In the fourth O2- site, O2- is bonded in a 2-coordinate geometry to two equivalent Ba2+, one Mg2+, and one V5+ atom. In the fifth O2- site, O2- is bonded in a 2-coordinate geometry to two equivalent Ba2+, one Mg2+, and one V5+ atom. In the sixth O2- site, O2- is bonded in a 2-coordinate geometry to two equivalent Ba2+, one V5+, and one Zn2+ atom. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+, one Mg2+, one V5+, and one Zn2+ atom. In the eighth O2- site, O2- is bonded in a 3-coordinate geometry to one Ba2+, one Mg2+, one V5+, and one Zn2+ atom.

36 MATERIALS SCIENCE↗

Materials Data on RbBi3Se5 by Materials Project

RbBi3Se5 crystallizes in the monoclinic C2/m space group. The structure is three-dimensional. there are three inequivalent Rb1+ sites. In the first Rb1+ site, Rb1+ is bonded in a 8-coordinate geometry to eight Se2- atoms. There are a spread of Rb–Se bond distances ranging from 3.56–3.85 Å. In the second Rb1+ site, Rb1+ is bonded in a 8-coordinate geometry to eight Se2- atoms. There are a spread of Rb–Se bond distances ranging from 3.55–4.10 Å. In the third Rb1+ site, Rb1+ is bonded in a 8-coordinate geometry to eight Se2- atoms. There are a spread of Rb–Se bond distances ranging from 3.48–3.73 Å. There are ten inequivalent Bi3+ sites. In the first Bi3+ site, Bi3+ is bonded to six Se2- atoms to form a mixture of edge and corner-sharing BiSe6 octahedra. The corner-sharing octahedral tilt angles are 2°. There are a spread of Bi–Se bond distances ranging from 2.83–3.21 Å. In the second Bi3+ site, Bi3+ is bonded to six Se2- atoms to form a mixture of edge and corner-sharing BiSe6 octahedra. The corner-sharing octahedra tilt angles range from 5–68°. There are a spread of Bi–Se bond distances ranging from 2.85–3.16 Å. In the third Bi3+ site, Bi3+ is bonded to six Se2- atoms to form a mixture of edge and corner-sharing BiSe6 octahedra. The corner-sharing octahedra tilt angles range from 3–5°. There are a spread of Bi–Se bond distances ranging from 2.90–3.06 Å. In the fourth Bi3+ site, Bi3+ is bonded to six Se2- atoms to form a mixture of edge and corner-sharing BiSe6 octahedra. The corner-sharing octahedra tilt angles range from 19–68°. There are a spread of Bi–Se bond distances ranging from 2.87–3.07 Å. In the fifth Bi3+ site, Bi3+ is bonded to six Se2- atoms to form a mixture of edge and corner-sharing BiSe6 octahedra. The corner-sharing octahedra tilt angles range from 2–5°. There are a spread of Bi–Se bond distances ranging from 2.77–3.20 Å. In the sixth Bi3+ site, Bi3+ is bonded to six Se2- atoms to form a mixture of edge and corner-sharing BiSe6 octahedra. The corner-sharing octahedral tilt angles are 3°. There are a spread of Bi–Se bond distances ranging from 2.74–3.30 Å. In the seventh Bi3+ site, Bi3+ is bonded to six Se2- atoms to form a mixture of edge and corner-sharing BiSe6 octahedra. The corner-sharing octahedra tilt angles range from 3–14°. There are a spread of Bi–Se bond distances ranging from 2.83–3.16 Å. In the eighth Bi3+ site, Bi3+ is bonded to six Se2- atoms to form edge-sharing BiSe6 octahedra. There are two shorter (2.97 Å) and four longer (2.98 Å) Bi–Se bond lengths. In the ninth Bi3+ site, Bi3+ is bonded to six Se2- atoms to form a mixture of edge and corner-sharing BiSe6 octahedra. The corner-sharing octahedra tilt angles range from 5–19°. There are a spread of Bi–Se bond distances ranging from 2.82–3.17 Å. In the tenth Bi3+ site, Bi3+ is bonded to six Se2- atoms to form a mixture of edge and corner-sharing BiSe6 octahedra. The corner-sharing octahedral tilt angles are 51°. There are two shorter (2.94 Å) and four longer (2.97 Å) Bi–Se bond lengths. There are fifteen inequivalent Se2- sites. In the first Se2- site, Se2- is bonded to one Rb1+ and four Bi3+ atoms to form SeRbBi4 trigonal bipyramids that share corners with two equivalent SeBi6 octahedra, a cornercorner with one SeRb2Bi3 square pyramid, corners with four SeRb2Bi3 trigonal bipyramids, and edges with five SeRbBi5 octahedra. The corner-sharing octahedral tilt angles are 6°. In the second Se2- site, Se2- is bonded to one Rb1+ and five Bi3+ atoms to form distorted SeRbBi5 octahedra that share a cornercorner with one SeBi6 octahedra, corners with two equivalent SeRb2Bi3 square pyramids, corners with two equivalent SeRbBi4 trigonal bipyramids, edges with four SeRbBi5 octahedra, edges with two equivalent SeRb2Bi3 square pyramids, and edges with three SeRbBi4 trigonal bipyramids. The corner-sharing octahedral tilt angles are 1°. In the third Se2- site, Se2- is bonded in a 5-coordinate geometry to three Rb1+ and two equivalent Bi3+ atoms. In the fourth Se2- site, Se2- is bonded in a 5-coordinate geometry to two equivalent Rb1+ and three Bi3+ atoms. In the fifth Se2- site, Se2- is bonded to two equivalent Rb1+ and three Bi3+ atoms to form SeRb2Bi3 square pyramids that share a cornercorner with one SeBi6 octahedra, corners with two equivalent SeRb2Bi3 square pyramids, corners with four SeRb2Bi3 trigonal bipyramids, edges with two equivalent SeBi6 octahedra, edges with three SeRb2Bi3 square pyramids, and edges with three SeRb2Bi3 trigonal bipyramids. The corner-sharing octahedral tilt angles are 11°. In the sixth Se2- site, Se2- is bonded to six Bi3+ atoms to form SeBi6 octahedra that share a cornercorner with one SeRbBi5 octahedra, corners with two equivalent SeRbBi4 trigonal bipyramids, edges with six SeRbBi5 octahedra, and edges with five SeRbBi4 trigonal bipyramids. The corner-sharing octahedral tilt angles are 1°. In the seventh Se2- site, Se2- is bonded in a 5-coordinate geometry to two equivalent Rb1+ and three Bi3+ atoms. In the eighth Se2- site, Se2- is bonded in a 6-coordinate geometry to four Rb1+ and two equivalent Bi3+ atoms. In the ninth Se2- site, Se2- is bonded to two equivalent Rb1+ and three Bi3+ atoms to form a mixture of distorted edge and corner-sharing SeRb2Bi3 trigonal bipyramids. In the tenth Se2- site, Se2- is bonded in a rectangular see-saw-like geometry to four Bi3+ atoms. In the eleventh Se2- site, Se2- is bonded to two equivalent Rb1+ and three Bi3+ atoms to form SeRb2Bi3 square pyramids that share corners with four SeRb2Bi3 square pyramids, a cornercorner with one SeRbBi4 trigonal bipyramid, edges with two equivalent SeRbBi5 octahedra, and edges with four SeRb2Bi3 square pyramids. In the twelfth Se2- site, Se2- is bonded to two Rb1+ and three Bi3+ atoms to form SeRb2Bi3 trigonal bipyramids that share corners with two equivalent SeBi6 octahedra, a cornercorner with one SeRb2Bi3 square pyramid, corners with six SeRb2Bi3 trigonal bipyramids, edges with three equivalent SeBi6 octahedra, and edges with two equivalent SeRb2Bi3 square pyramids. The corner-sharing octahedral tilt angles are 8°. In the thirteenth Se2- site, Se2- is bonded to two equivalent Rb1+ and three Bi3+ atoms to form distorted SeRb2Bi3 square pyramids that share corners with two equivalent SeRbBi5 octahedra, corners with four SeRb2Bi3 square pyramids, a cornercorner with one SeRb2Bi3 trigonal bipyramid, edges with two equivalent SeBi6 octahedra, and edges with four SeRb2Bi3 square pyramids. The corner-sharing octahedral tilt angles are 52°. In the fourteenth Se2- site, Se2- is bonded to six Bi3+ atoms to form SeBi6 octahedra that share a cornercorner with one SeRb2Bi3 square pyramid, corners with two equivalent SeRb2Bi3 trigonal bipyramids, edges with four equivalent SeBi6 octahedra, edges with four SeRb2Bi3 square pyramids, and edges with three equivalent SeRb2Bi3 trigonal bipyramids. In the fifteenth Se2- site, Se2- is bonded to one Rb1+ and four Bi3+ atoms to form distorted SeRbBi4 trigonal bipyramids that share corners with two equivalent SeRbBi5 octahedra, corners with two equivalent SeRb2Bi3 square pyramids, corners with four SeRb2Bi3 trigonal bipyramids, edges with three SeRbBi5 octahedra, and edges with two equivalent SeRb2Bi3 trigonal bipyramids. The corner-sharing octahedral tilt angles are 11°.

36 MATERIALS SCIENCE↗

Materials Data on Ba4TiNb9O18 by Materials Project

Ba4TiNb9O18 crystallizes in the tetragonal P4/mmm space group. The structure is three-dimensional. there are two inequivalent Ba2+ sites. In the first Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with eight equivalent BaO12 cuboctahedra, faces with five equivalent BaO12 cuboctahedra, faces with four equivalent NbO6 octahedra, and faces with four equivalent NbO5 square pyramids. There are a spread of Ba–O bond distances ranging from 2.89–2.98 Å. In the second Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with eight equivalent BaO12 cuboctahedra, faces with five equivalent BaO12 cuboctahedra, faces with four equivalent TiO6 octahedra, and faces with four equivalent NbO5 square pyramids. There are a spread of Ba–O bond distances ranging from 2.85–3.00 Å. Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with four equivalent TiO6 octahedra, corners with two equivalent NbO5 square pyramids, and faces with eight equivalent BaO12 cuboctahedra. The corner-sharing octahedral tilt angles are 0°. There are two shorter (1.97 Å) and four longer (2.10 Å) Ti–O bond lengths. There are four inequivalent Nb+2.67+ sites. In the first Nb+2.67+ site, Nb+2.67+ is bonded in a square co-planar geometry to four O2- atoms. There are a spread of Nb–O bond distances ranging from 2.11–2.16 Å. In the second Nb+2.67+ site, Nb+2.67+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with four equivalent NbO6 octahedra, corners with two equivalent NbO5 square pyramids, and faces with eight equivalent BaO12 cuboctahedra. The corner-sharing octahedral tilt angles are 0°. There are two shorter (2.01 Å) and four longer (2.10 Å) Nb–O bond lengths. In the third Nb+2.67+ site, Nb+2.67+ is bonded to five O2- atoms to form NbO5 square pyramids that share a cornercorner with one NbO6 octahedra, corners with four equivalent NbO5 square pyramids, and faces with four equivalent BaO12 cuboctahedra. The corner-sharing octahedral tilt angles are 0°. There are four shorter (2.11 Å) and one longer (2.17 Å) Nb–O bond lengths. In the fourth Nb+2.67+ site, Nb+2.67+ is bonded to five O2- atoms to form NbO5 square pyramids that share a cornercorner with one TiO6 octahedra, corners with four equivalent NbO5 square pyramids, and faces with four equivalent BaO12 cuboctahedra. The corner-sharing octahedral tilt angles are 0°. There are four shorter (2.11 Å) and one longer (2.14 Å) Nb–O bond lengths. There are seven inequivalent O2- sites. In the first O2- site, O2- is bonded to two equivalent Ba2+ and three Nb+2.67+ atoms to form a mixture of distorted edge and corner-sharing OBa2Nb3 trigonal bipyramids. In the second O2- site, O2- is bonded in a distorted T-shaped geometry to two equivalent Ba2+ and three Nb+2.67+ atoms. In the third O2- site, O2- is bonded to four equivalent Ba2+ and two equivalent Ti4+ atoms to form a mixture of distorted edge, corner, and face-sharing OBa4Ti2 octahedra. The corner-sharing octahedral tilt angles are 0°. In the fourth O2- site, O2- is bonded in a distorted linear geometry to four equivalent Ba2+ and two equivalent Nb+2.67+ atoms. In the fifth O2- site, O2- is bonded in a distorted linear geometry to four equivalent Ba2+ and two Nb+2.67+ atoms. In the sixth O2- site, O2- is bonded in a distorted linear geometry to four equivalent Ba2+, one Ti4+, and one Nb+2.67+ atom. In the seventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to four equivalent Nb+2.67+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on AgGeBiTe3 by Materials Project

AgGeBiTe3 is alpha Po-derived structured and crystallizes in the orthorhombic Imm2 space group. The structure is three-dimensional. Ag1+ is bonded to six Te2- atoms to form AgTe6 octahedra that share corners with two equivalent AgTe6 octahedra, corners with two equivalent GeTe6 octahedra, corners with two equivalent BiTe6 octahedra, edges with two equivalent AgTe6 octahedra, edges with five equivalent GeTe6 octahedra, and edges with five equivalent BiTe6 octahedra. The corner-sharing octahedra tilt angles range from 2–4°. There are a spread of Ag–Te bond distances ranging from 3.04–3.12 Å. Ge2+ is bonded to six Te2- atoms to form GeTe6 octahedra that share corners with two equivalent AgTe6 octahedra, corners with two equivalent GeTe6 octahedra, corners with two equivalent BiTe6 octahedra, edges with two equivalent GeTe6 octahedra, edges with five equivalent AgTe6 octahedra, and edges with five equivalent BiTe6 octahedra. The corner-sharing octahedra tilt angles range from 2–5°. There are a spread of Ge–Te bond distances ranging from 3.00–3.08 Å. Bi3+ is bonded to six Te2- atoms to form BiTe6 octahedra that share corners with two equivalent AgTe6 octahedra, corners with two equivalent GeTe6 octahedra, corners with two equivalent BiTe6 octahedra, edges with two equivalent BiTe6 octahedra, edges with five equivalent AgTe6 octahedra, and edges with five equivalent GeTe6 octahedra. The corner-sharing octahedra tilt angles range from 1–2°. There are a spread of Bi–Te bond distances ranging from 3.07–3.17 Å. There are three inequivalent Te2- sites. In the first Te2- site, Te2- is bonded to two equivalent Ag1+, two equivalent Ge2+, and two equivalent Bi3+ atoms to form a mixture of corner and edge-sharing TeAg2Ge2Bi2 octahedra. The corner-sharing octahedral tilt angles are 1°. In the second Te2- site, Te2- is bonded to two equivalent Ag1+, two equivalent Ge2+, and two equivalent Bi3+ atoms to form a mixture of corner and edge-sharing TeAg2Ge2Bi2 octahedra. The corner-sharing octahedra tilt angles range from 1–4°. In the third Te2- site, Te2- is bonded to two equivalent Ag1+, two equivalent Ge2+, and two equivalent Bi3+ atoms to form a mixture of corner and edge-sharing TeAg2Ge2Bi2 octahedra. The corner-sharing octahedra tilt angles range from 1–5°.

36 MATERIALS SCIENCE↗

Materials Data on LiZnFeO3 by Materials Project

LiFeZnO3 is alpha Po-derived structured and crystallizes in the orthorhombic Imm2 space group. The structure is three-dimensional. Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with two equivalent FeO6 octahedra, corners with two equivalent ZnO6 octahedra, edges with two equivalent LiO6 octahedra, edges with five equivalent FeO6 octahedra, and edges with five equivalent ZnO6 octahedra. The corner-sharing octahedra tilt angles range from 0–5°. There are a spread of Li–O bond distances ranging from 2.10–2.23 Å. Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with two equivalent FeO6 octahedra, corners with two equivalent ZnO6 octahedra, edges with two equivalent FeO6 octahedra, edges with five equivalent LiO6 octahedra, and edges with five equivalent ZnO6 octahedra. The corner-sharing octahedra tilt angles range from 3–4°. There are a spread of Fe–O bond distances ranging from 2.06–2.10 Å. Zn2+ is bonded to six O2- atoms to form ZnO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with two equivalent FeO6 octahedra, corners with two equivalent ZnO6 octahedra, edges with two equivalent ZnO6 octahedra, edges with five equivalent LiO6 octahedra, and edges with five equivalent FeO6 octahedra. The corner-sharing octahedra tilt angles range from 0–8°. There are a spread of Zn–O bond distances ranging from 2.10–2.18 Å. There are three inequivalent O2- sites. In the first O2- site, O2- is bonded to two equivalent Li1+, two equivalent Fe3+, and two equivalent Zn2+ atoms to form a mixture of edge and corner-sharing OLi2Zn2Fe2 octahedra. The corner-sharing octahedra tilt angles range from 1–5°. In the second O2- site, O2- is bonded to two equivalent Li1+, two equivalent Fe3+, and two equivalent Zn2+ atoms to form a mixture of edge and corner-sharing OLi2Zn2Fe2 octahedra. The corner-sharing octahedra tilt angles range from 1–8°. In the third O2- site, O2- is bonded to two equivalent Li1+, two equivalent Fe3+, and two equivalent Zn2+ atoms to form a mixture of edge and corner-sharing OLi2Zn2Fe2 octahedra. The corner-sharing octahedra tilt angles range from 1–3°.

36 MATERIALS SCIENCE↗

Materials Data on La4(ErS2)11 by Materials Project

La4(ErS2)11 crystallizes in the monoclinic C2/m space group. The structure is three-dimensional. there are six inequivalent Er3+ sites. In the first Er3+ site, Er3+ is bonded to seven S2- atoms to form distorted ErS7 pentagonal bipyramids that share corners with three ErS6 octahedra, edges with two equivalent ErS6 octahedra, and edges with four equivalent ErS7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 39–50°. There are a spread of Er–S bond distances ranging from 2.69–2.88 Å. In the second Er3+ site, Er3+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing ErS6 octahedra. The corner-sharing octahedra tilt angles range from 49–59°. There are a spread of Er–S bond distances ranging from 2.64–2.77 Å. In the third Er3+ site, Er3+ is bonded to six S2- atoms to form ErS6 octahedra that share corners with three equivalent ErS6 octahedra, corners with two equivalent ErS7 pentagonal bipyramids, and edges with four ErS6 octahedra. The corner-sharing octahedra tilt angles range from 51–63°. There are a spread of Er–S bond distances ranging from 2.65–2.79 Å. In the fourth Er3+ site, Er3+ is bonded to six S2- atoms to form ErS6 octahedra that share corners with three equivalent ErS6 octahedra, a cornercorner with one ErS7 pentagonal bipyramid, edges with four equivalent ErS6 octahedra, and edges with two equivalent ErS7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 51–63°. There are a spread of Er–S bond distances ranging from 2.66–2.76 Å. In the fifth Er3+ site, Er3+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing ErS6 octahedra. The corner-sharing octahedra tilt angles range from 49–59°. There are a spread of Er–S bond distances ranging from 2.65–2.77 Å. In the sixth Er3+ site, Er3+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing ErS6 octahedra. The corner-sharing octahedral tilt angles are 55°. There are four shorter (2.72 Å) and two longer (2.73 Å) Er–S bond lengths. There are two inequivalent La+2.75+ sites. In the first La+2.75+ site, La+2.75+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of La–S bond distances ranging from 2.94–3.07 Å. In the second La+2.75+ site, La+2.75+ is bonded in a 7-coordinate geometry to eight S2- atoms. There are a spread of La–S bond distances ranging from 2.92–3.48 Å. There are eleven inequivalent S2- sites. In the first S2- site, S2- is bonded to three Er3+ and two equivalent La+2.75+ atoms to form distorted SLa2Er3 trigonal bipyramids that share corners with four SLa2Er3 trigonal bipyramids, corners with two SLaEr3 trigonal pyramids, edges with six SLa2Er3 trigonal bipyramids, and edges with two equivalent SEr4 trigonal pyramids. In the second S2- site, S2- is bonded in a rectangular see-saw-like geometry to four Er3+ atoms. In the third S2- site, S2- is bonded in a 3-coordinate geometry to three Er3+ and one La+2.75+ atom. In the fourth S2- site, S2- is bonded to three Er3+ and two equivalent La+2.75+ atoms to form distorted SLa2Er3 trigonal bipyramids that share corners with six SLa2Er3 trigonal bipyramids, corners with two equivalent SLaEr3 trigonal pyramids, edges with two equivalent SLa2Er3 square pyramids, edges with four SLa2Er3 trigonal bipyramids, and an edgeedge with one SLaEr3 trigonal pyramid. In the fifth S2- site, S2- is bonded to three Er3+ and two equivalent La+2.75+ atoms to form distorted SLa2Er3 square pyramids that share corners with two equivalent SLa2Er3 square pyramids, corners with four SLa3Er2 trigonal bipyramids, edges with three SLa2Er3 square pyramids, edges with three SLa2Er3 trigonal bipyramids, and edges with two equivalent SLaEr3 trigonal pyramids. In the sixth S2- site, S2- is bonded to three Er3+ and two equivalent La+2.75+ atoms to form distorted SLa2Er3 square pyramids that share corners with four SLa2Er3 square pyramids, corners with two equivalent SLa3Er2 trigonal bipyramids, corners with two equivalent SLaEr3 trigonal pyramids, edges with four SLa2Er3 square pyramids, and edges with three SLa3Er2 trigonal bipyramids. In the seventh S2- site, S2- is bonded to two equivalent Er3+ and three La+2.75+ atoms to form distorted SLa3Er2 trigonal bipyramids that share corners with four SLa2Er3 square pyramids, corners with two equivalent SLa2Er3 trigonal bipyramids, corners with four equivalent SEr4 trigonal pyramids, edges with two SLa2Er3 square pyramids, edges with six SLa2Er3 trigonal bipyramids, and edges with three SLaEr3 trigonal pyramids. In the eighth S2- site, S2- is bonded to three Er3+ and one La+2.75+ atom to form distorted SLaEr3 trigonal pyramids that share corners with two equivalent SLa2Er3 square pyramids, corners with four SLa2Er3 trigonal bipyramids, corners with five SLaEr3 trigonal pyramids, edges with two equivalent SLa2Er3 square pyramids, and edges with three SLa3Er2 trigonal bipyramids. In the ninth S2- site, S2- is bonded in a rectangular see-saw-like geometry to four Er3+ atoms. In the tenth S2- site, S2- is bonded to four Er3+ atoms to form distorted SEr4 trigonal pyramids that share corners with five SLa2Er3 trigonal bipyramids, corners with five SLaEr3 trigonal pyramids, edges with three SLa2Er3 trigonal bipyramids, and edges with two equivalent SEr4 trigonal pyramids. In the eleventh S2- site, S2- is bonded to two equivalent Er3+ and three La+2.75+ atoms to form distorted SLa3Er2 trigonal bipyramids that share corners with two equivalent SLa2Er3 square pyramids, corners with four SLa2Er3 trigonal bipyramids, a cornercorner with one SLaEr3 trigonal pyramid, edges with two equivalent SLa2Er3 square pyramids, and edges with six SLa2Er3 trigonal bipyramids.

36 MATERIALS SCIENCE↗

Materials Data on Li9Mn2Co5O16 by Materials Project

Li9Mn2Co5O16 is Caswellsilverite-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are nine inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with four CoO6 octahedra, an edgeedge with one MnO6 octahedra, edges with three CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–10°. There are a spread of Li–O bond distances ranging from 2.12–2.23 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with two MnO6 octahedra, corners with two equivalent CoO6 octahedra, edges with five CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–10°. There are a spread of Li–O bond distances ranging from 2.07–2.28 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 two equivalent MnO6 octahedra, corners with three CoO6 octahedra, an edgeedge with one MnO6 octahedra, edges with five CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–10°. There are a spread of Li–O bond distances ranging from 2.01–2.22 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six CoO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–9°. There are a spread of Li–O bond distances ranging from 2.06–2.22 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one MnO6 octahedra, corners with five CoO6 octahedra, edges with 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 Li–O bond distances ranging from 2.05–2.25 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one CoO6 octahedra, corners with four MnO6 octahedra, edges with two 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 Li–O bond distances ranging from 2.01–2.22 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one MnO6 octahedra, corners with two equivalent LiO6 octahedra, corners with three CoO6 octahedra, edges with two equivalent MnO6 octahedra, edges with three CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–10°. There are a spread of Li–O bond distances ranging from 2.06–2.31 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six CoO6 octahedra, edges with two equivalent MnO6 octahedra, edges with two CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–9°. There are a spread of Li–O bond distances ranging from 2.12–2.32 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 9–10°. There are a spread of Li–O bond distances ranging from 2.01–2.20 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 5–8°. There are a spread of Mn–O bond distances ranging from 1.95–2.25 Å. In the second Mn+4.50+ site, Mn+4.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–9°. There are a spread of Mn–O bond distances ranging from 1.93–2.20 Å. There are five inequivalent Co+2.80+ sites. In the first Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent 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 1.92–2.10 Å. In the second Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form distorted CoO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with two equivalent CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–10°. 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 six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 3–7°. There are a spread of Co–O bond distances ranging from 1.92–2.10 Å. In the fourth Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–8°. There are a spread of Co–O bond distances ranging from 1.93–2.11 Å. In the fifth Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form distorted CoO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with two equivalent CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–9°. There are a spread of Co–O bond distances ranging from 1.74–2.27 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 OLi4Co2 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the second O2- site, O2- is bonded to five Li1+ and one Co+2.80+ atom to form OLi5Co octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi5Co octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the third 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 fourth O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two equivalent Co+2.80+ atoms to form OLi3MnCo2 octahedra that share corners with six OLi4Co2 octahedra and edges with twelve OLi5Co octahedra. The corner-sharing octahedra tilt angles range from 0–9°. 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 OLi4Co2 octahedra and edges with twelve OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. 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 OLi3Co3 octahedra and edges with twelve OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the seventh O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two equivalent Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 0–5°. In the eighth O2- site, O2- is bonded to four Li1+ and two equivalent Co+2.80+ atoms to form OLi4Co2 octahedra that share corners with six OLi4Co2 octahedra and edges with twelve OLi5Co octahedra. The corner-sharing octahedra tilt angles range from 0–9°. 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 0–9°. In the tenth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form OLi3Co3 octahedra that share corners with six OLi3Mn2Co octahedra and edges with twelve OLi5Co octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the eleventh 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 OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the twelfth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form OLi3Co3 octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the thirteenth O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two equivalent Co+2.80+ atoms to form OLi3MnCo2 octahedra that share corners with six OLi3Mn2Co octahedra and edges with twelve OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 0–9°. In the fourteenth O2- site, O2- is bonded to three Li1+, two equivalent Mn+4.50+, and one Co+2.80+ atom to form a mixture of edge and corner-sharing OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 0–5°. In the fifteenth O2- site, O2- is bonded to five Li1+ and one Co+2.80+ atom to form OLi5Co octahedra that share corners with six OLi5Co octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 0–7°. 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 OLi3Co3 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 0–7°.

36 MATERIALS SCIENCE↗

Materials Data on Li4MnCo2O7 by Materials Project

Li4MnCo2O7 is Caswellsilverite-derived structured and crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are eight inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one CoO6 octahedra, corners with two equivalent LiO6 octahedra, corners with two equivalent MnO6 octahedra, edges with three equivalent MnO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–12°. There are a spread of Li–O bond distances ranging from 2.02–2.25 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one CoO6 octahedra, corners with two equivalent LiO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–11°. There are a spread of Li–O bond distances ranging from 2.04–2.52 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 three CoO6 octahedra, edges with three equivalent CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 9–11°. There are a spread of Li–O bond distances ranging from 2.02–2.21 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 four CoO6 octahedra, edges with six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 4–9°. There are a spread of Li–O bond distances ranging from 2.06–2.24 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with four CoO6 octahedra, 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 2–5°. There are a spread of Li–O bond distances ranging from 2.05–2.29 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 4–9°. There are a spread of Li–O bond distances ranging from 2.11–2.27 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with two equivalent CoO6 octahedra, corners with three MnO6 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 6–11°. There are a spread of Li–O bond distances ranging from 2.04–2.20 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 10–12°. There are a spread of Li–O bond distances ranging from 2.05–2.14 Å. There are two inequivalent Mn2+ sites. In the first Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with two equivalent CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–12°. There are a spread of Mn–O bond distances ranging from 1.82–2.13 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 4–6°. There are a spread of Mn–O bond distances ranging from 1.96–2.26 Å. There are four inequivalent Co4+ sites. In the first Co4+ site, Co4+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Co–O bond distances ranging from 1.77–2.37 Å. In the second Co4+ site, Co4+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with 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 1.87–1.96 Å. In the third Co4+ site, Co4+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–11°. There are a spread of Co–O bond distances ranging from 2.00–2.17 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 3–8°. There are a spread of Co–O bond distances ranging from 1.94–2.22 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 a mixture of edge and corner-sharing OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 2–7°. In the second O2- site, O2- is bonded to five Li1+ and one Mn2+ atom to form OLi5Mn octahedra that share corners with five OLi3MnCo2 octahedra and edges with twelve OLi5Co 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 Co4+ atoms to form OLi4Co2 octahedra that share corners with four OLi4Mn2 octahedra and edges with nine OLi5Co octahedra. The corner-sharing octahedra tilt angles range from 0–14°. In the fourth O2- site, O2- is bonded to three Li1+ and three Co4+ atoms to form distorted OLi3Co3 octahedra that share corners with four OLi5Co octahedra and edges with nine OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–9°. In the fifth O2- site, O2- is bonded to three Li1+ and three Co4+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–7°. In the sixth O2- site, O2- is bonded to three Li1+, two equivalent Mn2+, and one Co4+ atom to form OLi3Mn2Co octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–3°. In the seventh O2- site, O2- is bonded to three Li1+, one Mn2+, and two equivalent Co4+ atoms to form OLi3MnCo2 octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 1–3°. In the eighth O2- site, O2- is bonded to five Li1+ and one Co4+ atom to form OLi5Co octahedra that share corners with six OLi3Mn2Co octahedra and edges with ten OLi5Co octahedra. The corner-sharing octahedra tilt angles range from 2–14°. In the ninth O2- site, O2- is bonded in a 6-coordinate geometry to three Li1+ and three Co4+ atoms. In the tenth 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 0–7°. In the eleventh 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 1–4°. 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 OLi3Co3 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 1–2°. 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 OLi3Mn2Co octahedra and edges with twelve OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 1–5°. In the fourteenth O2- site, O2- is bonded to four Li1+ and two equivalent Mn2+ atoms to form OLi4Mn2 octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi5Co octahedra. The corner-sharing octahedra tilt angles range from 0–13°.

36 MATERIALS SCIENCE↗

Materials Data on CeAl(CuNi)2 by Materials Project

CeAl(NiCu)2 crystallizes in the orthorhombic Amm2 space group. The structure is three-dimensional. Ce is bonded in a 6-coordinate geometry to eight equivalent Ni, seven Cu, and three equivalent Al atoms. There are four shorter (3.22 Å) and four longer (3.28 Å) Ce–Ni bond lengths. There are a spread of Ce–Cu bond distances ranging from 2.94–3.26 Å. There are one shorter (2.95 Å) and two longer (3.00 Å) Ce–Al bond lengths. Ni is bonded to four equivalent Ce, two equivalent Ni, four Cu, and two equivalent Al atoms to form distorted NiCe4Al2Cu4Ni2 cuboctahedra that share corners with eight CuCe3Al3Cu2Ni4 cuboctahedra, corners with twelve equivalent NiCe4Al2Cu4Ni2 cuboctahedra, edges with four equivalent CuCe4Al2Cu2Ni4 cuboctahedra, edges with six equivalent NiCe4Al2Cu4Ni2 cuboctahedra, faces with six equivalent NiCe4Al2Cu4Ni2 cuboctahedra, and faces with ten CuCe3Al3Cu2Ni4 cuboctahedra. There are one shorter (2.58 Å) and one longer (2.60 Å) Ni–Ni bond lengths. There are a spread of Ni–Cu bond distances ranging from 2.48–2.58 Å. Both Ni–Al bond lengths are 2.47 Å. There are two inequivalent Cu sites. In the first Cu site, Cu is bonded to three equivalent Ce, four equivalent Ni, two equivalent Cu, and three equivalent Al atoms to form distorted CuCe3Al3Cu2Ni4 cuboctahedra that share corners with four equivalent CuCe4Al2Cu2Ni4 cuboctahedra, corners with eight equivalent NiCe4Al2Cu4Ni2 cuboctahedra, edges with six equivalent CuCe3Al3Cu2Ni4 cuboctahedra, faces with eight CuCe3Al3Cu2Ni4 cuboctahedra, and faces with twelve equivalent NiCe4Al2Cu4Ni2 cuboctahedra. Both Cu–Cu bond lengths are 2.47 Å. There are two shorter (2.96 Å) and one longer (3.03 Å) Cu–Al bond lengths. In the second Cu site, Cu is bonded to four equivalent Ce, four equivalent Ni, two equivalent Cu, and two equivalent Al atoms to form distorted CuCe4Al2Cu2Ni4 cuboctahedra that share corners with eight equivalent NiCe4Al2Cu4Ni2 cuboctahedra, corners with twelve CuCe3Al3Cu2Ni4 cuboctahedra, edges with two equivalent CuCe4Al2Cu2Ni4 cuboctahedra, edges with eight equivalent NiCe4Al2Cu4Ni2 cuboctahedra, faces with eight equivalent NiCe4Al2Cu4Ni2 cuboctahedra, and faces with eight CuCe3Al3Cu2Ni4 cuboctahedra. Both Cu–Al bond lengths are 2.52 Å. Al is bonded in a 12-coordinate geometry to three equivalent Ce, four equivalent Ni, and five Cu atoms.

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 five CoO6 octahedra, edges with two CoO6 octahedra, edges with four MnO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 9–10°. There are a spread of Li–O bond distances ranging from 2.05–2.22 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with five CoO6 octahedra, edges with two equivalent MnO6 octahedra, edges with two CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 12–16°. There are a spread of Li–O bond distances ranging from 2.07–2.25 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with two CoO6 octahedra, an edgeedge with one MnO6 octahedra, edges with two equivalent CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–9°. There are a spread of Li–O bond distances ranging from 2.03–2.33 Å. In the fourth 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, an edgeedge with one MnO6 octahedra, edges with five CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–9°. There are a spread of Li–O bond distances ranging from 2.04–2.35 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with two MnO6 octahedra, corners with two equivalent CoO6 octahedra, edges with three CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–11°. There are a spread of Li–O bond distances ranging from 2.03–2.33 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with two equivalent CoO6 octahedra, corners with three MnO6 octahedra, an edgeedge with one MnO6 octahedra, edges with three CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–11°. There are a spread of Li–O bond distances ranging from 1.97–2.46 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with two equivalent MnO6 octahedra, corners with three CoO6 octahedra, 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 2.01–2.29 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with two CoO6 octahedra, edges with two equivalent MnO6 octahedra, edges with two equivalent CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–12°. There are a spread of Li–O bond distances ranging from 2.03–2.20 Å. In the ninth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–6°. There are a spread of Li–O bond distances ranging from 2.09–2.15 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 six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–11°. There are a spread of Mn–O bond distances ranging from 1.91–2.01 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 1.94–1.96 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 4–12°. There are a spread of Co–O bond distances ranging from 1.94–2.17 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 3–16°. There are a spread of Co–O bond distances ranging from 1.94–2.24 Å. In the third Co+2.80+ site, Co+2.80+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Co–O bond distances ranging from 1.79–2.47 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 5–12°. There are a spread of Co–O bond distances ranging from 1.98–2.19 Å. In the fifth Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form distorted CoO6 octahedra that share corners with six LiO6 octahedra, edges with four CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–12°. There are a spread of Co–O bond distances ranging from 1.80–2.40 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 a mixture of distorted corner and edge-sharing OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 2–10°. In the second O2- site, O2- is bonded to three Li1+, two equivalent Mn+4.50+, and one Co+2.80+ atom to form a mixture of corner and edge-sharing OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 1–9°. In the third O2- site, O2- is bonded to five Li1+ and one Co+2.80+ atom to form a mixture of corner and edge-sharing OLi5Co octahedra. The corner-sharing octahedra tilt angles range from 1–10°. In the fourth O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two equivalent Co+2.80+ atoms to form OLi3MnCo2 octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 2–4°. In the fifth O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two equivalent Co+2.80+ atoms to form OLi3MnCo2 octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 1–13°. In the sixth O2- site, O2- is bonded to four Li1+ and two equivalent Co+2.80+ atoms to form OLi4Co2 octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 0–20°. In the seventh O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form a mixture of corner and edge-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 2–7°. In the eighth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form OLi3Co3 octahedra that share corners with six OLi3Mn2Co octahedra and edges with twelve OLi5Co octahedra. The corner-sharing octahedra tilt angles range from 2–16°. 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 corner and edge-sharing OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 1–7°. In the tenth O2- site, O2- is bonded to five Li1+ and one Co+2.80+ atom to form OLi5Co octahedra that share corners with six OLi3Mn2Co octahedra and edges with twelve OLi5Co octahedra. The corner-sharing octahedra tilt angles range from 1–10°. In the eleventh O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form a mixture of corner and edge-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 3–10°. In the twelfth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form a mixture of distorted corner and edge-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 3–10°. In the thirteenth 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 OLi5Co octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 2–20°. In the fourteenth O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two equivalent Co+2.80+ atoms to form OLi3MnCo2 octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 1–4°. In the fifteenth O2- site, O2- is bonded to four Li1+ and two equivalent Co+2.80+ atoms to form OLi4Co2 octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 0–16°. In the sixteenth O2- site, O2- is bonded to three Li1+, two equivalent Mn+4.50+, and one Co+2.80+ atom to form a mixture of corner and edge-sharing OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 3–11°.

36 MATERIALS SCIENCE↗

Materials Data on KLiMg6O7 by Materials Project

KLiMg6O7 crystallizes in the tetragonal P4mm space group. The structure is three-dimensional. K1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are four shorter (2.59 Å) and one longer (2.82 Å) K–O bond lengths. Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with four equivalent LiO6 octahedra, edges with four equivalent MgO5 square pyramids, and edges with four equivalent MgO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 3°. There are a spread of Li–O bond distances ranging from 1.94–2.59 Å. There are four inequivalent Mg2+ sites. In the first Mg2+ site, Mg2+ is bonded in a square co-planar geometry to four equivalent O2- atoms. All Mg–O bond lengths are 2.09 Å. In the second Mg2+ site, Mg2+ is bonded to five O2- atoms to form MgO5 square pyramids that share corners with four equivalent MgO5 square pyramids, edges with four equivalent LiO6 octahedra, and edges with four equivalent MgO5 trigonal bipyramids. There are one shorter (2.03 Å) and four longer (2.09 Å) Mg–O bond lengths. In the third Mg2+ site, Mg2+ is bonded in a square co-planar geometry to four O2- atoms. There are a spread of Mg–O bond distances ranging from 2.02–2.11 Å. In the fourth Mg2+ site, Mg2+ is bonded to five O2- atoms to form MgO5 trigonal bipyramids that share corners with four equivalent MgO5 trigonal bipyramids, edges with two equivalent LiO6 octahedra, edges with two equivalent MgO5 square pyramids, and edges with four equivalent MgO5 trigonal bipyramids. There are a spread of Mg–O bond distances ranging from 2.08–2.15 Å. There are five inequivalent O2- sites. In the first O2- site, O2- is bonded to one Li1+ and four equivalent Mg2+ atoms to form OLiMg4 square pyramids that share a cornercorner with one OKLiMg4 octahedra, corners with four equivalent OLiMg4 square pyramids, corners with four equivalent OK2Mg3 trigonal bipyramids, and edges with four equivalent OLi2Mg4 octahedra. The corner-sharing octahedral tilt angles are 0°. In the second O2- site, O2- is bonded to one K1+, one Li1+, and four equivalent Mg2+ atoms to form distorted OKLiMg4 octahedra that share corners with four equivalent OKLiMg4 octahedra, a cornercorner with one OLiMg4 square pyramid, corners with four equivalent OK2Mg3 trigonal bipyramids, edges with four equivalent OLi2Mg4 octahedra, and edges with four equivalent OMg5 square pyramids. The corner-sharing octahedral tilt angles are 21°. In the third O2- site, O2- is bonded to five Mg2+ atoms to form OMg5 square pyramids that share corners with four equivalent OMg5 square pyramids and edges with eight OKLiMg4 octahedra. In the fourth O2- site, O2- is bonded to two equivalent K1+ and three Mg2+ atoms to form distorted OK2Mg3 trigonal bipyramids that share corners with three OKLiMg4 octahedra, corners with two equivalent OLiMg4 square pyramids, corners with four equivalent OK2Mg3 trigonal bipyramids, and edges with four equivalent OK2Mg3 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 0–53°. In the fifth O2- site, O2- is bonded to two equivalent Li1+ and four Mg2+ atoms to form OLi2Mg4 octahedra that share corners with four equivalent OLi2Mg4 octahedra, a cornercorner with one OK2Mg3 trigonal bipyramid, edges with six OKLiMg4 octahedra, and edges with four OLiMg4 square pyramids. The corner-sharing octahedra tilt angles range from 3–12°.

36 MATERIALS SCIENCE↗

Materials Data on Sm(ErSe2)3 by Materials Project

Er3SmSe6 crystallizes in the monoclinic P2_1/m space group. The structure is three-dimensional. there are three inequivalent Er3+ sites. In the first Er3+ site, Er3+ is bonded to six Se2- atoms to form ErSe6 octahedra that share corners with three equivalent ErSe6 octahedra, corners with two equivalent ErSe7 pentagonal bipyramids, and edges with four equivalent ErSe6 octahedra. The corner-sharing octahedra tilt angles range from 56–60°. There are a spread of Er–Se bond distances ranging from 2.77–2.88 Å. In the second Er3+ site, Er3+ is bonded to seven Se2- atoms to form distorted ErSe7 pentagonal bipyramids that share corners with three ErSe6 octahedra, edges with two equivalent ErSe6 octahedra, and edges with four equivalent ErSe7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 36–50°. There are a spread of Er–Se bond distances ranging from 2.81–3.05 Å. In the third Er3+ site, Er3+ is bonded to six Se2- atoms to form ErSe6 octahedra that share corners with three equivalent ErSe6 octahedra, a cornercorner with one ErSe7 pentagonal bipyramid, edges with four equivalent ErSe6 octahedra, and edges with two equivalent ErSe7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 56–60°. There are a spread of Er–Se bond distances ranging from 2.79–2.88 Å. Sm3+ is bonded in a 8-coordinate geometry to eight Se2- atoms. There are a spread of Sm–Se bond distances ranging from 2.99–3.13 Å. There are six inequivalent Se2- sites. In the first Se2- site, Se2- is bonded to three Er3+ and one Sm3+ atom to form distorted SeSmEr3 trigonal pyramids that share corners with two equivalent SeSm2Er3 square pyramids, corners with four SeSm3Er2 trigonal bipyramids, corners with two equivalent SeSmEr3 trigonal pyramids, edges with three equivalent SeSm2Er3 square pyramids, and edges with two equivalent SeSm3Er2 trigonal bipyramids. In the second Se2- site, Se2- is bonded to three equivalent Er3+ and two equivalent Sm3+ atoms to form distorted SeSm2Er3 square pyramids that share corners with six SeSm2Er3 trigonal bipyramids, corners with two equivalent SeSmEr3 trigonal pyramids, edges with four equivalent SeSm2Er3 square pyramids, edges with two SeSm2Er3 trigonal bipyramids, and edges with three equivalent SeSmEr3 trigonal pyramids. In the third Se2- site, Se2- is bonded to two equivalent Er3+ and three equivalent Sm3+ atoms to form distorted SeSm3Er2 trigonal bipyramids that share corners with four equivalent SeSm2Er3 square pyramids, corners with two equivalent SeSm2Er3 trigonal bipyramids, a cornercorner with one SeSmEr3 trigonal pyramid, an edgeedge with one SeSm2Er3 square pyramid, edges with seven SeSm3Er2 trigonal bipyramids, and edges with two equivalent SeSmEr3 trigonal pyramids. In the fourth Se2- site, Se2- is bonded in a 4-coordinate geometry to four Er3+ atoms. In the fifth Se2- site, Se2- is bonded in a rectangular see-saw-like geometry to four Er3+ atoms. In the sixth Se2- site, Se2- is bonded to three Er3+ and two equivalent Sm3+ atoms to form distorted SeSm2Er3 trigonal bipyramids that share corners with two equivalent SeSm2Er3 square pyramids, corners with two equivalent SeSm3Er2 trigonal bipyramids, corners with three equivalent SeSmEr3 trigonal pyramids, an edgeedge with one SeSm2Er3 square pyramid, and edges with five SeSm3Er2 trigonal bipyramids.

36 MATERIALS SCIENCE↗

Materials Data on Sm(ErS2)3 by Materials Project

Er3SmS6 crystallizes in the monoclinic P2_1/m space group. The structure is three-dimensional. there are three inequivalent Er3+ sites. In the first Er3+ site, Er3+ is bonded to six S2- atoms to form ErS6 octahedra that share corners with three equivalent ErS6 octahedra, corners with two equivalent ErS7 pentagonal bipyramids, and edges with four equivalent ErS6 octahedra. The corner-sharing octahedra tilt angles range from 56–61°. There are a spread of Er–S bond distances ranging from 2.64–2.77 Å. In the second Er3+ site, Er3+ is bonded to seven S2- atoms to form distorted ErS7 pentagonal bipyramids that share corners with three ErS6 octahedra, edges with two equivalent ErS6 octahedra, and edges with four equivalent ErS7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 38–51°. There are a spread of Er–S bond distances ranging from 2.67–2.91 Å. In the third Er3+ site, Er3+ is bonded to six S2- atoms to form ErS6 octahedra that share corners with three equivalent ErS6 octahedra, a cornercorner with one ErS7 pentagonal bipyramid, edges with four equivalent ErS6 octahedra, and edges with two equivalent ErS7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 56–61°. There are a spread of Er–S bond distances ranging from 2.65–2.76 Å. Sm3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Sm–S bond distances ranging from 2.86–3.02 Å. There are six inequivalent S2- sites. In the first S2- site, S2- is bonded to three Er3+ and one Sm3+ atom to form distorted SSmEr3 trigonal pyramids that share corners with two equivalent SSm2Er3 square pyramids, corners with four SSm3Er2 trigonal bipyramids, corners with two equivalent SSmEr3 trigonal pyramids, edges with three equivalent SSm2Er3 square pyramids, and edges with two equivalent SSm3Er2 trigonal bipyramids. In the second S2- site, S2- is bonded to three equivalent Er3+ and two equivalent Sm3+ atoms to form distorted SSm2Er3 square pyramids that share corners with six SSm2Er3 trigonal bipyramids, corners with two equivalent SSmEr3 trigonal pyramids, edges with four equivalent SSm2Er3 square pyramids, edges with two SSm2Er3 trigonal bipyramids, and edges with three equivalent SSmEr3 trigonal pyramids. In the third S2- site, S2- is bonded to two equivalent Er3+ and three equivalent Sm3+ atoms to form distorted SSm3Er2 trigonal bipyramids that share corners with four equivalent SSm2Er3 square pyramids, corners with two equivalent SSm2Er3 trigonal bipyramids, a cornercorner with one SSmEr3 trigonal pyramid, an edgeedge with one SSm2Er3 square pyramid, edges with seven SSm3Er2 trigonal bipyramids, and edges with two equivalent SSmEr3 trigonal pyramids. In the fourth S2- site, S2- is bonded in a 4-coordinate geometry to four Er3+ atoms. In the fifth S2- site, S2- is bonded in a rectangular see-saw-like geometry to four Er3+ atoms. In the sixth S2- site, S2- is bonded to three Er3+ and two equivalent Sm3+ atoms to form distorted SSm2Er3 trigonal bipyramids that share corners with two equivalent SSm2Er3 square pyramids, corners with two equivalent SSm3Er2 trigonal bipyramids, corners with three equivalent SSmEr3 trigonal pyramids, an edgeedge with one SSm2Er3 square pyramid, and edges with five SSm3Er2 trigonal bipyramids.

36 MATERIALS SCIENCE↗

Materials Data on GaCo2Ni by Materials Project

Co2NiGa is alpha La-derived structured and crystallizes in the tetragonal P4/mmm space group. The structure is three-dimensional. Co is bonded to four equivalent Co, four equivalent Ni, and four equivalent Ga atoms to form CoGa4Co4Ni4 cuboctahedra that share corners with twelve equivalent CoGa4Co4Ni4 cuboctahedra, edges with eight equivalent CoGa4Co4Ni4 cuboctahedra, edges with eight equivalent NiGa4Co8 cuboctahedra, edges with eight equivalent GaCo8Ni4 cuboctahedra, faces with four equivalent NiGa4Co8 cuboctahedra, faces with four equivalent GaCo8Ni4 cuboctahedra, and faces with ten equivalent CoGa4Co4Ni4 cuboctahedra. All Co–Co bond lengths are 2.49 Å. All Co–Ni bond lengths are 2.57 Å. All Co–Ga bond lengths are 2.57 Å. Ni is bonded to eight equivalent Co and four equivalent Ga atoms to form NiGa4Co8 cuboctahedra that share corners with twelve equivalent NiGa4Co8 cuboctahedra, edges with eight equivalent GaCo8Ni4 cuboctahedra, edges with sixteen equivalent CoGa4Co4Ni4 cuboctahedra, faces with four equivalent GaCo8Ni4 cuboctahedra, faces with six equivalent NiGa4Co8 cuboctahedra, and faces with eight equivalent CoGa4Co4Ni4 cuboctahedra. All Ni–Ga bond lengths are 2.49 Å. Ga is bonded to eight equivalent Co and four equivalent Ni atoms to form GaCo8Ni4 cuboctahedra that share corners with twelve equivalent GaCo8Ni4 cuboctahedra, edges with eight equivalent NiGa4Co8 cuboctahedra, edges with sixteen equivalent CoGa4Co4Ni4 cuboctahedra, faces with four equivalent NiGa4Co8 cuboctahedra, faces with six equivalent GaCo8Ni4 cuboctahedra, and faces with eight equivalent CoGa4Co4Ni4 cuboctahedra.

36 MATERIALS SCIENCE↗