Engineering Papers⌕ Search

SEARCH · Engineering Papers

Results for “rectangular coordinates”

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 325 records · Page 18

Materials Data on Na2FePCO7 by Materials Project

Na2FeCPO7 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twelve inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.40–2.79 Å. In the second Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.38–2.80 Å. In the third Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.39–2.89 Å. In the fourth Na1+ site, Na1+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Na–O bond distances ranging from 2.25–2.83 Å. In the fifth Na1+ site, Na1+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Na–O bond distances ranging from 2.25–2.82 Å. In the sixth Na1+ site, Na1+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Na–O bond distances ranging from 2.27–2.81 Å. In the seventh Na1+ site, Na1+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Na–O bond distances ranging from 2.24–2.85 Å. In the eighth Na1+ site, Na1+ is bonded to seven O2- atoms to form distorted NaO7 pentagonal bipyramids that share a cornercorner with one FeO6 octahedra, corners with two equivalent NaO7 pentagonal bipyramids, corners with two PO4 tetrahedra, an edgeedge with one FeO6 octahedra, edges with two equivalent NaO6 octahedra, an edgeedge with one PO4 tetrahedra, and a faceface with one FeO6 octahedra. The corner-sharing octahedral tilt angles are 66°. There are a spread of Na–O bond distances ranging from 2.30–2.80 Å. In the ninth Na1+ site, Na1+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Na–O bond distances ranging from 2.25–2.83 Å. In the tenth Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.37–2.81 Å. In the eleventh Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.39–2.80 Å. In the twelfth Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share corners with two equivalent NaO6 octahedra, corners with four FeO6 octahedra, edges with two equivalent NaO7 pentagonal bipyramids, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 0–56°. There are a spread of Na–O bond distances ranging from 2.28–2.83 Å. There are six inequivalent Fe3+ sites. In the first Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with four PO4 tetrahedra. There are a spread of Fe–O bond distances ranging from 1.97–2.13 Å. In the second Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with four PO4 tetrahedra. There are a spread of Fe–O bond distances ranging from 1.98–2.13 Å. In the third Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two equivalent NaO6 octahedra, a cornercorner with one NaO7 pentagonal bipyramid, and corners with four PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 0–18°. There are a spread of Fe–O bond distances ranging from 1.96–2.17 Å. In the fourth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share a cornercorner with one NaO6 octahedra, corners with four PO4 tetrahedra, an edgeedge with one NaO7 pentagonal bipyramid, and a faceface with one NaO7 pentagonal bipyramid. The corner-sharing octahedral tilt angles are 56°. There are a spread of Fe–O bond distances ranging from 1.96–2.15 Å. In the fifth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with four PO4 tetrahedra. There are a spread of Fe–O bond distances ranging from 1.98–2.14 Å. In the sixth Fe3+ site, Fe3+ is bonded to six O2- atoms to form distorted FeO6 octahedra that share a cornercorner with one NaO6 octahedra and corners with four PO4 tetrahedra. The corner-sharing octahedral tilt angles are 55°. There are a spread of Fe–O bond distances ranging from 1.90–2.15 Å. There are six inequivalent C4+ sites. In the first C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of C–O bond distances ranging from 1.27–1.32 Å. In the second C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of C–O bond distances ranging from 1.27–1.32 Å. In the third C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.29 Å) and two longer (1.30 Å) C–O bond length. In the fourth C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of C–O bond distances ranging from 1.27–1.32 Å. In the fifth C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of C–O bond distances ranging from 1.27–1.32 Å. In the sixth C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.25 Å) and two longer (1.33 Å) C–O bond length. There are six inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four FeO6 octahedra. The corner-sharing octahedra tilt angles range from 37–41°. 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 FeO6 octahedra. The corner-sharing octahedra tilt angles range from 34–43°. There are a spread of P–O bond distances ranging from 1.54–1.56 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four FeO6 octahedra and a cornercorner with one NaO7 pentagonal bipyramid. The corner-sharing octahedra tilt angles range from 33–42°. There are a spread of P–O bond distances ranging from 1.54–1.56 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four FeO6 octahedra. The corner-sharing octahedra tilt angles range from 34–43°. There are a spread of P–O bond distances ranging from 1.54–1.56 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four FeO6 octahedra, a cornercorner with one NaO7 pentagonal bipyramid, an edgeedge with one NaO6 octahedra, and an edgeedge with one NaO7 pentagonal bipyramid. The corner-sharing octahedra tilt angles range from 31–46°. There are a spread of P–O bond distances ranging from 1.53–1.57 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four FeO6 octahedra. The corner-sharing octahedra tilt angles range from 34–45°. There are a spread of P–O bond distances ranging from 1.54–1.56 Å. There are forty-two inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to three Na1+ and one C4+ atom. In the second O2- site, O2- is bonded in a 4-coordinate geometry to three Na1+ and one C4+ atom. In the third O2- site, O2- is bonded in a distorted single-bond geometry to two equivalent Na1+ and one C4+ atom. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Fe3+, and one C4+ atom. In the fifth O2- site, O2- is bonded in a 1-coordinate geometry to two Na1+, one Fe3+, and one C4+ atom. In the sixth O2- site, O2- is bonded in a distorted T-shaped geometry to one Na1+, one Fe3+, and one C4+ atom. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Fe3+, and one C4+ atom. In the eighth O2- site, O2- is bonded in a 1-coordinate geometry to two Na1+, one Fe3+, and one C4+ atom. In the ninth O2- site, O2- is bonded in a distorted T-shaped geometry to one Na1+, one Fe3+, and one C4+ atom. In the tenth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Fe3+, and one P5+ atom. In the eleventh O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Fe3+, and one P5+ atom. In the twelfth O2- site, O2- is bonded in a 1-coordinate geometry to three Na1+, one Fe3+, and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Fe3+, and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a 1-coordinate geometry to three Na1+, one Fe3+, and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Fe3+, and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Fe3+, and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Fe3+, and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Fe3+ and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Fe3+, and one P5+ atom. In the twentieth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Fe3+, and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a bent 150 degrees geometry to one Fe3+ and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Fe3+, and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Fe3+, and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Fe3+, and one P5+ atom. In the twenty-fifth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Fe3+, and one P5+ atom. In the twenty-sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Na1+, one Fe3+, and one P5+ atom. In the twenty-seventh O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Fe3+, and one P5+ atom. In the twenty-eighth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Fe3+, and one P5+ atom. In the twenty-ninth O2- site, O2- is bonded in a 1-coordinate geometry to three Na1+, one Fe3+, and one P5+ atom. In the thirtieth O2- site, O2- is bonded in a 1-coordinate geometry to three Na1+, one Fe3+, and one P5+ atom. In the thirty-first O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Fe3+, and one P5+ atom. In the thirty-second O2- site, O2- is bonded in a 1-coordinate geometry to three Na1+, one Fe3+, and one P5+ atom. In the thirty-third O2- site, O2- is bonded in a 1-coordinate geometry to three Na1+, one Fe3+, and one P5+ atom. In the thirty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Fe3+, and one C4+ atom. In the thirty-fifth O2- site, O2- is bonded in a 1-coordinate geometry to two Na1+, one Fe3+, and one C4+ atom. In the thirty-sixth O2- site, O2- is bonded in a 1-coordinate geometry to three Na1+, one Fe3+, and one C4+ atom. In the thirty-seventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Na1+, one Fe3+, and one C4+ atom. In the thirty-eighth O2- site, O2- is bonded in a 1-coordinate geometry to two Na1+, one Fe3+, and one C4+ atom. In the thirty-ninth O2- site, O2- is bonded in a 1-coordinate geometry to three Na1+, one Fe3+, and one C4+ atom. In the fortieth O2- site, O2- is bonded in a 4-coordinate geometry to three Na1+ and one C4+ atom. In the forty-first O2- site, O2- is bonded in a 4-coordinate geometry to three Na1+ and one C4+ atom. In the forty-second O2- site, O2- is bonded in a 5-coordinate geometry to four Na1+ and one C4+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li2VFeP2(HO5)2 by Materials Project

Li2VFeP2(HO5)2 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are four inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 square pyramids that share a cornercorner with one VO6 octahedra, a cornercorner with one FeO6 octahedra, corners with two PO4 tetrahedra, an edgeedge with one VO6 octahedra, an edgeedge with one FeO6 octahedra, an edgeedge with one LiO5 square pyramid, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 51–62°. There are a spread of Li–O bond distances ranging from 2.00–2.20 Å. In the second Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 square pyramids that share a cornercorner with one VO6 octahedra, a cornercorner with one FeO6 octahedra, corners with two PO4 tetrahedra, an edgeedge with one VO6 octahedra, an edgeedge with one FeO6 octahedra, an edgeedge with one LiO5 square pyramid, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 52–63°. There are a spread of Li–O bond distances ranging from 2.00–2.21 Å. In the third Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 square pyramids that share a cornercorner with one VO6 octahedra, a cornercorner with one FeO6 octahedra, corners with two PO4 tetrahedra, an edgeedge with one VO6 octahedra, an edgeedge with one FeO6 octahedra, an edgeedge with one LiO5 square pyramid, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 51–64°. There are a spread of Li–O bond distances ranging from 1.99–2.21 Å. In the fourth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 square pyramids that share a cornercorner with one VO6 octahedra, a cornercorner with one FeO6 octahedra, corners with two PO4 tetrahedra, an edgeedge with one VO6 octahedra, an edgeedge with one FeO6 octahedra, an edgeedge with one LiO5 square pyramid, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 51–63°. There are a spread of Li–O bond distances ranging from 1.99–2.20 Å. There are two inequivalent V3+ sites. In the first V3+ site, V3+ is bonded to six O2- atoms to form VO6 octahedra that share a cornercorner with one VO6 octahedra, a cornercorner with one FeO6 octahedra, corners with four PO4 tetrahedra, and edges with four LiO5 square pyramids. The corner-sharing octahedra tilt angles range from 52–53°. There are a spread of V–O bond distances ranging from 2.00–2.09 Å. In the second V3+ site, V3+ is bonded to six O2- atoms to form VO6 octahedra that share a cornercorner with one VO6 octahedra, a cornercorner with one FeO6 octahedra, corners with four LiO5 square pyramids, and corners with four PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 52–53°. There are a spread of V–O bond distances ranging from 2.03–2.09 Å. There are two inequivalent Fe3+ sites. In the first Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share a cornercorner with one VO6 octahedra, a cornercorner with one FeO6 octahedra, corners with four LiO5 square pyramids, and corners with four PO4 tetrahedra. The corner-sharing octahedral tilt angles are 52°. There are a spread of Fe–O bond distances ranging from 2.03–2.06 Å. In the second Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share a cornercorner with one VO6 octahedra, a cornercorner with one FeO6 octahedra, corners with four PO4 tetrahedra, and edges with four LiO5 square pyramids. The corner-sharing octahedral tilt angles are 52°. There are a spread of Fe–O bond distances ranging from 2.00–2.08 Å. There are four inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, corners with two FeO6 octahedra, corners with two LiO5 square pyramids, and an edgeedge with one LiO5 square pyramid. The corner-sharing octahedra tilt angles range from 37–54°. There is three shorter (1.55 Å) and one longer (1.56 Å) P–O bond length. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, corners with two FeO6 octahedra, corners with two LiO5 square pyramids, and an edgeedge with one LiO5 square pyramid. The corner-sharing octahedra tilt angles range from 38–55°. There is two shorter (1.55 Å) and two longer (1.56 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 two VO6 octahedra, corners with two FeO6 octahedra, corners with two LiO5 square pyramids, and an edgeedge with one LiO5 square pyramid. The corner-sharing octahedra tilt angles range from 37–55°. There is three shorter (1.55 Å) and one longer (1.56 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 two VO6 octahedra, corners with two FeO6 octahedra, corners with two LiO5 square pyramids, and an edgeedge with one LiO5 square pyramid. The corner-sharing octahedra tilt angles range from 37–55°. There is two shorter (1.55 Å) and two longer (1.56 Å) P–O bond length. There are four inequivalent H1+ sites. In the first H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.99 Å. In the second H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.99 Å. In the third H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.99 Å. In the fourth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.99 Å. There are twenty inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one V3+, and one P5+ atom. In the second O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Fe3+, and one P5+ atom. In the third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Fe3+, and one P5+ atom. In the fourth O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one V3+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a distorted single-bond geometry to one Li1+, one V3+, one Fe3+, and one H1+ atom. In the sixth O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one Fe3+, and one P5+ atom. In the seventh O2- site, O2- is bonded in a distorted single-bond geometry to one Li1+, two Fe3+, and one H1+ atom. In the eighth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one V3+ and one P5+ atom. In the ninth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V3+, and one P5+ atom. In the tenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one V3+ and one P5+ atom. In the eleventh O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Fe3+ and one P5+ atom. In the twelfth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Fe3+, and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Fe3+ and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a distorted single-bond geometry to one Li1+, one V3+, one Fe3+, and one H1+ atom. In the fifteenth O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one Fe3+, and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a distorted single-bond geometry to one Li1+, two V3+, and one H1+ atom. In the seventeenth O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one V3+, and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Fe3+, and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V3+, and one P5+ atom. In the twentieth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one V3+, and one P5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Na2LiMnPCO7 by Materials Project

Na2LiMnCPO7 crystallizes in the monoclinic P2_1/m space group. The structure is three-dimensional. Na1+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Na–O bond distances ranging from 2.27–2.87 Å. Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 2.06–2.10 Å. Mn2+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with four equivalent PO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 2.10–2.39 Å. C4+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.29 Å) and one longer (1.31 Å) C–O bond length. P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four equivalent MnO6 octahedra. The corner-sharing octahedra tilt angles range from 45–55°. There is one shorter (1.55 Å) and three longer (1.56 Å) P–O bond length. There are six inequivalent O2- sites. In the first O2- site, O2- is bonded in a trigonal pyramidal geometry to two equivalent Na1+, one Li1+, and one C4+ atom. In the second O2- site, O2- is bonded in a 5-coordinate geometry to two equivalent Na1+, one Li1+, one Mn2+, and one C4+ atom. In the third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two equivalent Na1+, one Mn2+, and one C4+ atom. In the fourth O2- site, O2- is bonded in a 5-coordinate geometry to two equivalent Na1+, one Li1+, one Mn2+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two equivalent Na1+, one Mn2+, and one P5+ atom. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Na1+, one Mn2+, and one P5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Na2CoAsCO7 by Materials Project

Na2CoCAsO7 crystallizes in the monoclinic P2_1/m space group. The structure is three-dimensional. Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.26–2.84 Å. Co3+ is bonded to six O2- atoms to form distorted CoO6 octahedra that share corners with four equivalent AsO4 tetrahedra. There are a spread of Co–O bond distances ranging from 1.96–2.16 Å. C4+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of C–O bond distances ranging from 1.25–1.33 Å. As5+ is bonded to four O2- atoms to form AsO4 tetrahedra that share corners with four equivalent CoO6 octahedra. The corner-sharing octahedra tilt angles range from 45–57°. There are a spread of As–O bond distances ranging from 1.71–1.75 Å. There are six inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to two equivalent Na1+ and one C4+ atom. In the second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two equivalent Na1+, one Co3+, and one C4+ atom. In the third O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Na1+, one Co3+, and one C4+ atom. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Co3+, and one As5+ atom. In the fifth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two equivalent Na1+, one Co3+, and one As5+ atom. In the sixth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two equivalent Na1+, one Co3+, and one As5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on CaMn3Zn(SiO3)5 by Materials Project

CaMn3Zn(SiO3)5 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. Ca2+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Ca–O bond distances ranging from 2.30–2.65 Å. There are three inequivalent Mn2+ sites. In the first Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six SiO4 tetrahedra and edges with three MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 2.16–2.32 Å. In the second Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six SiO4 tetrahedra and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 2.11–2.36 Å. In the third Mn2+ site, Mn2+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with five SiO4 tetrahedra, edges with three MnO6 octahedra, and an edgeedge with one SiO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 2.16–2.46 Å. Zn2+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Zn–O bond distances ranging from 1.93–2.53 Å. There are five inequivalent Si4+ sites. In the first Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with three MnO6 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 54–67°. There are a spread of Si–O bond distances ranging from 1.62–1.67 Å. In the second Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with four MnO6 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 45–63°. There are a spread of Si–O bond distances ranging from 1.62–1.68 Å. In the third Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with four MnO6 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 34–64°. There are a spread of Si–O bond distances ranging from 1.60–1.69 Å. In the fourth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with four MnO6 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 49–68°. There are a spread of Si–O bond distances ranging from 1.61–1.66 Å. In the fifth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two equivalent MnO6 octahedra, corners with two SiO4 tetrahedra, and an edgeedge with one MnO6 octahedra. The corner-sharing octahedra tilt angles range from 15–61°. There are a spread of Si–O bond distances ranging from 1.61–1.69 Å. There are fifteen inequivalent O2- sites. In the first O2- site, O2- is bonded to two equivalent Mn2+, one Zn2+, and one Si4+ atom to form distorted edge-sharing OMn2ZnSi tetrahedra. In the second O2- site, O2- is bonded in a 4-coordinate geometry to one Ca2+, two Mn2+, and one Si4+ atom. In the third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Mn2+ and one Si4+ atom. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to three Mn2+ and one Si4+ atom. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Ca2+, one Mn2+, and one Si4+ atom. In the sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Mn2+, one Zn2+, and one Si4+ atom. In the seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to one Mn2+, one Zn2+, and one Si4+ atom. In the eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn2+ and one Si4+ atom. In the ninth O2- site, O2- is bonded in a 3-coordinate geometry to one Ca2+, one Mn2+, and one Si4+ atom. In the tenth O2- site, O2- is bonded in a 3-coordinate geometry to one Ca2+, one Zn2+, and one Si4+ atom. In the eleventh O2- site, O2- is bonded in a 2-coordinate geometry to one Ca2+ and two Si4+ atoms. In the twelfth O2- site, O2- is bonded in a 2-coordinate geometry to one Ca2+ and two Si4+ atoms. In the thirteenth O2- site, O2- is bonded in a 2-coordinate geometry to one Ca2+ and two Si4+ atoms. In the fourteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Mn2+ and two Si4+ atoms. In the fifteenth O2- site, O2- is bonded in a 2-coordinate geometry to one Zn2+ and two Si4+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on K2U2O7 by Materials Project

K2U2O7 crystallizes in the monoclinic P2_1 space group. The structure is three-dimensional. there are two inequivalent K1+ sites. In the first K1+ site, K1+ is bonded to six O2- atoms to form KO6 octahedra that share corners with six UO6 octahedra and edges with six KO6 octahedra. The corner-sharing octahedra tilt angles range from 54–59°. There are a spread of K–O bond distances ranging from 2.71–2.83 Å. In the second K1+ site, K1+ is bonded to six O2- atoms to form distorted KO6 octahedra that share corners with six UO6 octahedra and edges with six KO6 octahedra. The corner-sharing octahedra tilt angles range from 53–59°. There are a spread of K–O bond distances ranging from 2.71–2.86 Å. There are two inequivalent U6+ sites. In the first U6+ site, U6+ is bonded to six O2- atoms to form UO6 octahedra that share corners with five UO6 octahedra, corners with six KO6 octahedra, and an edgeedge with one UO6 octahedra. The corner-sharing octahedra tilt angles range from 9–59°. There are a spread of U–O bond distances ranging from 1.88–2.32 Å. In the second U6+ site, U6+ is bonded to six O2- atoms to form UO6 octahedra that share corners with five UO6 octahedra, corners with six KO6 octahedra, and an edgeedge with one UO6 octahedra. The corner-sharing octahedra tilt angles range from 9–59°. There are a spread of U–O bond distances ranging from 1.89–2.28 Å. There are seven inequivalent O2- sites. In the first O2- site, O2- is bonded in a linear geometry to two U6+ atoms. In the second O2- site, O2- is bonded in a 1-coordinate geometry to three K1+ and one U6+ atom. In the third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three K1+ and one U6+ atom. In the fourth O2- site, O2- is bonded in a 1-coordinate geometry to three K1+ and one U6+ atom. In the fifth O2- site, O2- is bonded in a trigonal planar geometry to three U6+ atoms. In the sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to three U6+ atoms. In the seventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three K1+ and one U6+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Na2SbAsCO7 by Materials Project

Na2CSbAsO7 crystallizes in the monoclinic P2_1/m space group. The structure is three-dimensional. Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.33–2.69 Å. C4+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of C–O bond distances ranging from 1.24–1.36 Å. Sb3+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Sb–O bond distances ranging from 2.10–2.45 Å. As5+ is bonded in a tetrahedral geometry to four O2- atoms. There are a spread of As–O bond distances ranging from 1.69–1.77 Å. There are six inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to two equivalent Na1+ and one C4+ atom. In the second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two equivalent Na1+, one C4+, and one Sb3+ atom. In the third O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Na1+, one C4+, and one Sb3+ atom. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Sb3+, and one As5+ atom. In the fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two equivalent Na1+, one Sb3+, and one As5+ atom. In the sixth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two equivalent Na1+ and one As5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Na5H3(CO3)4 by Materials Project

Na5H3(CO3)4 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are five inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Na–O bond distances ranging from 2.35–2.68 Å. In the second Na1+ site, Na1+ is bonded to five O2- atoms to form distorted NaO5 trigonal bipyramids that share corners with two equivalent NaO6 octahedra and edges with two equivalent NaO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 80–82°. There are a spread of Na–O bond distances ranging from 2.32–2.41 Å. In the third Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.35–2.52 Å. In the fourth Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share a cornercorner with one NaO6 octahedra, corners with two equivalent NaO5 trigonal bipyramids, and edges with two equivalent NaO6 octahedra. The corner-sharing octahedral tilt angles are 91°. There are a spread of Na–O bond distances ranging from 2.39–2.54 Å. In the fifth Na1+ site, Na1+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing NaO6 octahedra. The corner-sharing octahedral tilt angles are 91°. There are a spread of Na–O bond distances ranging from 2.35–2.53 Å. There are four inequivalent C4+ sites. In the first C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.27 Å) and one longer (1.37 Å) C–O bond length. In the second C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of C–O bond distances ranging from 1.28–1.33 Å. In the third C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.27 Å) and one longer (1.37 Å) C–O bond length. In the fourth C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of C–O bond distances ranging from 1.28–1.33 Å. There are four inequivalent H1+ sites. In the first H1+ site, H1+ is bonded in a distorted linear geometry to two O2- atoms. There is one shorter (1.04 Å) and one longer (1.57 Å) H–O bond length. In the second H1+ site, H1+ is bonded in a linear geometry to two equivalent O2- atoms. Both H–O bond lengths are 1.23 Å. In the third H1+ site, H1+ is bonded in a linear geometry to two O2- atoms. There is one shorter (1.04 Å) and one longer (1.59 Å) H–O bond length. In the fourth H1+ site, H1+ is bonded in a linear geometry to two equivalent O2- atoms. Both H–O bond lengths are 1.23 Å. There are twelve inequivalent O2- sites. In the first O2- site, O2- is bonded in a 1-coordinate geometry to three equivalent Na1+ and one C4+ atom. In the second O2- site, O2- is bonded to three Na1+ and one C4+ atom to form distorted corner-sharing ONa3C trigonal pyramids. In the third O2- site, O2- is bonded in a 2-coordinate geometry to two equivalent Na1+, one C4+, and one H1+ atom. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Na1+, one C4+, and one H1+ atom. In the fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Na1+ and one C4+ atom. In the sixth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two Na1+, one C4+, and one H1+ atom. In the seventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Na1+ and one C4+ atom. In the eighth O2- site, O2- is bonded in a 1-coordinate geometry to three Na1+ and one C4+ atom. In the ninth O2- site, O2- is bonded in a distorted water-like geometry to two Na1+, one C4+, and one H1+ atom. In the tenth O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Na1+, one C4+, and one H1+ atom. In the eleventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Na1+ and one C4+ atom. In the twelfth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two equivalent Na1+, one C4+, and one H1+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li4Ti3Ni3(SnO8)2 by Materials Project

Li4Ti3Ni3(SnO8)2 is Hausmannite-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are four inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three equivalent SnO6 octahedra, corners with four TiO6 octahedra, and corners with five NiO6 octahedra. The corner-sharing octahedra tilt angles range from 55–66°. There are a spread of Li–O bond distances ranging from 1.95–2.06 Å. In the second Li1+ site, Li1+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.81–2.07 Å. In the third Li1+ site, Li1+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.83–1.98 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three equivalent SnO6 octahedra, corners with four NiO6 octahedra, and corners with five TiO6 octahedra. The corner-sharing octahedra tilt angles range from 56–63°. There are a spread of Li–O bond distances ranging from 1.97–2.03 Å. There are three inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two equivalent SnO6 octahedra, corners with three LiO4 tetrahedra, an edgeedge with one SnO6 octahedra, edges with two equivalent TiO6 octahedra, and edges with two equivalent NiO6 octahedra. The corner-sharing octahedral tilt angles are 51°. There are a spread of Ti–O bond distances ranging from 1.94–2.02 Å. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two equivalent SnO6 octahedra, corners with three LiO4 tetrahedra, an edgeedge with one SnO6 octahedra, edges with two equivalent TiO6 octahedra, and edges with two equivalent NiO6 octahedra. The corner-sharing octahedral tilt angles are 51°. There are a spread of Ti–O bond distances ranging from 1.95–2.06 Å. In the third Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two equivalent SnO6 octahedra, corners with three LiO4 tetrahedra, an edgeedge with one SnO6 octahedra, and edges with four NiO6 octahedra. The corner-sharing octahedra tilt angles range from 48–55°. There are a spread of Ti–O bond distances ranging from 1.93–2.07 Å. There are three inequivalent Ni+2.67+ sites. In the first Ni+2.67+ site, Ni+2.67+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with two equivalent SnO6 octahedra, corners with three LiO4 tetrahedra, an edgeedge with one SnO6 octahedra, and edges with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 53–54°. There are a spread of Ni–O bond distances ranging from 2.04–2.10 Å. In the second Ni+2.67+ site, Ni+2.67+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with two equivalent SnO6 octahedra, corners with three LiO4 tetrahedra, an edgeedge with one SnO6 octahedra, edges with two equivalent TiO6 octahedra, and edges with two equivalent NiO6 octahedra. The corner-sharing octahedra tilt angles range from 53–55°. There are a spread of Ni–O bond distances ranging from 1.88–2.16 Å. In the third Ni+2.67+ site, Ni+2.67+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with two equivalent SnO6 octahedra, corners with three LiO4 tetrahedra, an edgeedge with one SnO6 octahedra, edges with two equivalent TiO6 octahedra, and edges with two equivalent NiO6 octahedra. The corner-sharing octahedra tilt angles range from 50–54°. There are a spread of Ni–O bond distances ranging from 1.94–2.11 Å. There are two inequivalent Sn4+ sites. In the first Sn4+ site, Sn4+ is bonded to six O2- atoms to form SnO6 octahedra that share corners with two equivalent TiO6 octahedra, corners with four NiO6 octahedra, corners with three equivalent LiO4 tetrahedra, an edgeedge with one NiO6 octahedra, and edges with two TiO6 octahedra. The corner-sharing octahedra tilt angles range from 48–55°. There are a spread of Sn–O bond distances ranging from 2.05–2.21 Å. In the second Sn4+ site, Sn4+ is bonded to six O2- atoms to form SnO6 octahedra that share corners with two equivalent NiO6 octahedra, corners with four TiO6 octahedra, corners with three equivalent LiO4 tetrahedra, an edgeedge with one TiO6 octahedra, and edges with two NiO6 octahedra. The corner-sharing octahedra tilt angles range from 51–54°. There are a spread of Sn–O bond distances ranging from 2.04–2.16 Å. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Ti4+, one Ni+2.67+, and one Sn4+ atom. In the second O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Ti4+, and one Sn4+ atom. In the third O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, two Ti4+, and one Ni+2.67+ atom. In the fourth O2- site, O2- is bonded to one Li1+, two Ti4+, and one Ni+2.67+ atom to form distorted corner-sharing OLiTi2Ni tetrahedra. In the fifth O2- site, O2- is bonded to one Li1+, one Ti4+, and two Ni+2.67+ atoms to form distorted OLiTiNi2 tetrahedra that share corners with two equivalent OLiNi2Sn tetrahedra and corners with two equivalent OLiTiNiSn trigonal pyramids. In the sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Ti4+, one Ni+2.67+, and one Sn4+ atom. In the seventh O2- site, O2- is bonded to one Li1+, one Ti4+, one Ni+2.67+, and one Sn4+ atom to form distorted OLiTiNiSn trigonal pyramids that share corners with two equivalent OLiTi2Ni tetrahedra, a cornercorner with one OLiTiNiSn trigonal pyramid, and an edgeedge with one OLiTiNiSn trigonal pyramid. In the eighth O2- site, O2- is bonded to one Li1+, one Ti4+, one Ni+2.67+, and one Sn4+ atom to form distorted OLiTiNiSn trigonal pyramids that share corners with two equivalent OLiTi2Ni tetrahedra, a cornercorner with one OLiTiNiSn trigonal pyramid, and an edgeedge with one OLiTiNiSn trigonal pyramid. In the ninth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, two Ti4+, and one Sn4+ atom. In the tenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Ni+2.67+, and one Sn4+ atom. In the eleventh O2- site, O2- is bonded to one Li1+, one Ti4+, one Ni+2.67+, and one Sn4+ atom to form distorted OLiTiNiSn trigonal pyramids that share corners with three OLiTiNi2 tetrahedra and an edgeedge with one OLiNi2Sn tetrahedra. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, one Ti4+, one Ni+2.67+, and one Sn4+ atom. In the thirteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Ti4+, and two Ni+2.67+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Ti4+, one Ni+2.67+, and one Sn4+ atom. In the fifteenth O2- site, O2- is bonded to one Li1+, two Ni+2.67+, and one Sn4+ atom to form distorted OLiNi2Sn tetrahedra that share corners with two equivalent OLiTiNi2 tetrahedra, a cornercorner with one OLiTiNiSn trigonal pyramid, and an edgeedge with one OLiTiNiSn trigonal pyramid. In the sixteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Ti4+, one Ni+2.67+, and one Sn4+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Na2LiFePCO7 by Materials Project

Na2LiFeCPO7 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.28–2.73 Å. In the second Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.27–2.70 Å. In the third Na1+ site, Na1+ is bonded to seven O2- atoms to form distorted NaO7 pentagonal bipyramids that share a cornercorner with one FeO6 octahedra, corners with two PO4 tetrahedra, an edgeedge with one PO4 tetrahedra, and a faceface with one FeO6 octahedra. The corner-sharing octahedral tilt angles are 65°. There are a spread of Na–O bond distances ranging from 2.37–2.71 Å. In the fourth Na1+ site, Na1+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Na–O bond distances ranging from 2.29–2.93 Å. In the fifth Na1+ site, Na1+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Na–O bond distances ranging from 2.29–2.98 Å. In the sixth Na1+ site, Na1+ is bonded to seven O2- atoms to form distorted NaO7 pentagonal bipyramids that share corners with two PO4 tetrahedra, an edgeedge with one FeO6 octahedra, an edgeedge with one PO4 tetrahedra, and a faceface with one FeO6 octahedra. There are a spread of Na–O bond distances ranging from 2.39–2.71 Å. In the seventh Na1+ site, Na1+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Na–O bond distances ranging from 2.30–2.88 Å. In the eighth Na1+ site, Na1+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Na–O bond distances ranging from 2.31–2.93 Å. There are four inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 2.10–2.69 Å. In the second Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.11–2.73 Å. In the third Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 2.06–2.30 Å. In the fourth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 2.04–2.30 Å. There are four inequivalent Fe2+ sites. In the first Fe2+ site, Fe2+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Fe–O bond distances ranging from 2.08–2.17 Å. In the second Fe2+ site, Fe2+ is bonded to six O2- atoms to form distorted FeO6 octahedra that share corners with four PO4 tetrahedra and a faceface with one NaO7 pentagonal bipyramid. There are a spread of Fe–O bond distances ranging from 2.11–2.52 Å. In the third Fe2+ site, Fe2+ is bonded to six O2- atoms to form distorted FeO6 octahedra that share a cornercorner with one NaO7 pentagonal bipyramid, corners with four PO4 tetrahedra, and an edgeedge with one NaO7 pentagonal bipyramid. There are a spread of Fe–O bond distances ranging from 2.08–2.27 Å. In the fourth Fe2+ site, Fe2+ is bonded to six O2- atoms to form distorted FeO6 octahedra that share corners with four PO4 tetrahedra and a faceface with one NaO7 pentagonal bipyramid. There are a spread of Fe–O bond distances ranging from 2.13–2.29 Å. There are four inequivalent C4+ sites. In the first C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.30 Å) and one longer (1.31 Å) C–O bond length. In the second C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of C–O bond distances ranging from 1.29–1.31 Å. In the third C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. All C–O bond lengths are 1.30 Å. In the fourth C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.29 Å) and two longer (1.30 Å) C–O bond length. There are four inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two FeO6 octahedra, a cornercorner with one NaO7 pentagonal bipyramid, and an edgeedge with one NaO7 pentagonal bipyramid. The corner-sharing octahedra tilt angles range from 49–63°. There is three shorter (1.55 Å) and one longer (1.57 Å) P–O bond length. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four FeO6 octahedra and a cornercorner with one NaO7 pentagonal bipyramid. The corner-sharing octahedra tilt angles range from 44–55°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three FeO6 octahedra, a cornercorner with one NaO7 pentagonal bipyramid, and an edgeedge with one NaO7 pentagonal bipyramid. The corner-sharing octahedra tilt angles range from 47–49°. There are a spread of P–O bond distances ranging from 1.55–1.57 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three FeO6 octahedra and a cornercorner with one NaO7 pentagonal bipyramid. The corner-sharing octahedra tilt angles range from 45–53°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. There are twenty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a 5-coordinate geometry to three Na1+, one Li1+, and one C4+ atom. In the second O2- site, O2- is bonded in a 5-coordinate geometry to four Na1+ and one C4+ atom. In the third O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two Na1+, one Li1+, and one C4+ atom. In the fourth O2- site, O2- is bonded in a 2-coordinate geometry to one Na1+, one Li1+, one Fe2+, and one C4+ atom. In the fifth O2- site, O2- is bonded in a 1-coordinate geometry to one Na1+, one Li1+, one Fe2+, and one C4+ atom. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Fe2+, and one C4+ atom. In the seventh O2- site, O2- is bonded in a 1-coordinate geometry to three Na1+, one Fe2+, and one P5+ atom. In the eighth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Fe2+, and one P5+ atom. In the ninth O2- site, O2- is bonded in a 1-coordinate geometry to three Na1+, one Fe2+, and one P5+ atom. In the tenth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Li1+, one Fe2+, and one P5+ atom. In the eleventh O2- site, O2- is bonded to one Na1+, one Li1+, one Fe2+, and one P5+ atom to form distorted corner-sharing ONaLiFeP tetrahedra. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to one Na1+, one Li1+, one Fe2+, and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Fe2+, and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Na1+, one Fe2+, and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Na1+, one Li1+, one Fe2+, and one P5+ atom. In the sixteenth O2- site, O2- is bonded to one Na1+, one Li1+, one Fe2+, and one P5+ atom to form distorted corner-sharing ONaLiFeP tetrahedra. In the seventeenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Na1+, one Fe2+, and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Fe2+, and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a 1-coordinate geometry to two Na1+, one Li1+, one Fe2+, and one P5+ atom. In the twentieth O2- site, O2- is bonded in a 4-coordinate geometry to one Na1+, one Li1+, one Fe2+, and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a 1-coordinate geometry to two Na1+, one Li1+, one Fe2+, and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a 4-coordinate geometry to one Na1+, two Li1+, one Fe2+, and one P5+ atom. In the twenty-third O2- site, O2- is bonded to two Na1+, one Li1+, one Fe2+, and one C4+ atom to form distorted corner-sharing ONa2LiFeC trigonal bipyramids. In the twenty-fourth O2- site, O2- is bonded to three Na1+, one Fe2+, and one C4+ atom to form distorted corner-sharing ONa3FeC trigonal bipyramids. In the twenty-fifth O2- site, O2- is bonded in a 1-coordinate geometry to three Na1+, one Fe2+, and one C4+ atom. In the twenty-sixth O2- site, O2- is bonded in a 1-coordinate geometry to two Na1+, one Li1+, one Fe2+, and one C4+ atom. In the twenty-seventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Na1+, two Li1+, and one C4+ atom. In the twenty-eighth O2- site, O2- is bonded to two Na1+, one Li1+, and one C4+ atom to form distorted corner-sharing ONa2LiC tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on LiCuCO3 by Materials Project

LiCuCO3 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 five O2- atoms to form distorted LiO5 trigonal bipyramids that share corners with four CuO4 tetrahedra and edges with two equivalent LiO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 2.01–2.35 Å. In the second Li1+ site, Li1+ is bonded to five O2- atoms to form LiO5 trigonal bipyramids that share corners with two equivalent CuO4 tetrahedra and edges with two equivalent LiO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 1.98–2.21 Å. In the third Li1+ site, Li1+ is bonded to five O2- atoms to form LiO5 trigonal bipyramids that share corners with two equivalent CuO4 tetrahedra and edges with two equivalent LiO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 1.99–2.17 Å. In the fourth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share corners with four CuO4 tetrahedra and edges with two equivalent LiO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 2.01–2.32 Å. In the fifth Li1+ site, Li1+ is bonded to five O2- atoms to form LiO5 trigonal bipyramids that share corners with two equivalent CuO4 tetrahedra and edges with two equivalent LiO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 1.99–2.19 Å. In the sixth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share corners with six CuO4 tetrahedra and edges with two equivalent LiO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 1.98–2.24 Å. In the seventh Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share corners with four CuO4 tetrahedra and edges with two equivalent LiO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 2.01–2.37 Å. In the eighth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share corners with six CuO4 tetrahedra and edges with two equivalent LiO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 1.98–2.22 Å. In the ninth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share corners with six CuO4 tetrahedra and edges with two equivalent LiO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 1.98–2.25 Å. There are nine inequivalent Cu1+ sites. In the first Cu1+ site, Cu1+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Cu–O bond distances ranging from 1.92–2.30 Å. In the second Cu1+ site, Cu1+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Cu–O bond distances ranging from 1.93–2.29 Å. In the third Cu1+ site, Cu1+ is bonded to four O2- atoms to form CuO4 tetrahedra that share corners with two equivalent CuO4 tetrahedra and corners with six LiO5 trigonal bipyramids. There are a spread of Cu–O bond distances ranging from 2.00–2.23 Å. In the fourth Cu1+ site, Cu1+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Cu–O bond distances ranging from 1.92–2.30 Å. In the fifth Cu1+ site, Cu1+ is bonded to four O2- atoms to form CuO4 tetrahedra that share corners with two equivalent CuO4 tetrahedra and corners with six LiO5 trigonal bipyramids. There are a spread of Cu–O bond distances ranging from 2.03–2.24 Å. In the sixth Cu1+ site, Cu1+ is bonded to four O2- atoms to form CuO4 tetrahedra that share corners with two equivalent CuO4 tetrahedra and corners with six LiO5 trigonal bipyramids. There are a spread of Cu–O bond distances ranging from 2.03–2.26 Å. In the seventh Cu1+ site, Cu1+ is bonded to four O2- atoms to form CuO4 tetrahedra that share corners with two equivalent CuO4 tetrahedra and corners with six LiO5 trigonal bipyramids. There are a spread of Cu–O bond distances ranging from 2.00–2.21 Å. In the eighth Cu1+ site, Cu1+ is bonded to four O2- atoms to form CuO4 tetrahedra that share corners with two equivalent CuO4 tetrahedra and corners with six LiO5 trigonal bipyramids. There are a spread of Cu–O bond distances ranging from 2.03–2.24 Å. In the ninth Cu1+ site, Cu1+ is bonded to four O2- atoms to form CuO4 tetrahedra that share corners with two equivalent CuO4 tetrahedra and corners with six LiO5 trigonal bipyramids. There are a spread of Cu–O bond distances ranging from 2.00–2.22 Å. There are nine inequivalent C4+ sites. In the first C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.30 Å) and one longer (1.31 Å) C–O bond length. In the second C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. All C–O bond lengths are 1.30 Å. In the third C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.30 Å) and two longer (1.31 Å) C–O bond length. In the fourth C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.30 Å) and one longer (1.31 Å) C–O bond length. In the fifth C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.30 Å) and two longer (1.31 Å) C–O bond length. In the sixth C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.30 Å) and two longer (1.31 Å) C–O bond length. In the seventh C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. All C–O bond lengths are 1.30 Å. In the eighth C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.30 Å) and one longer (1.31 Å) C–O bond length. In the ninth C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.30 Å) and two longer (1.31 Å) C–O bond length. There are twenty-seven inequivalent O2- sites. In the first O2- site, O2- is bonded in a rectangular see-saw-like geometry to two equivalent Li1+, one Cu1+, and one C4+ atom. In the second O2- site, O2- is bonded to two equivalent Li1+, one Cu1+, and one C4+ atom to form distorted corner-sharing OLi2CuC tetrahedra. In the third O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Li1+, one Cu1+, and one C4+ atom. In the fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two equivalent Cu1+, and one C4+ atom. In the fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two equivalent Cu1+, and one C4+ atom. In the sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two equivalent Li1+, one Cu1+, and one C4+ atom. In the seventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two equivalent Li1+, one Cu1+, and one C4+ atom. In the eighth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two equivalent Li1+, one Cu1+, and one C4+ atom. In the ninth O2- site, O2- is bonded to two equivalent Li1+, one Cu1+, and one C4+ atom to form distorted corner-sharing OLi2CuC tetrahedra. In the tenth O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Li1+, one Cu1+, and one C4+ atom. In the eleventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two equivalent Li1+, one Cu1+, and one C4+ atom. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Li1+, one Cu1+, and one C4+ atom. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Li1+, one Cu1+, and one C4+ atom. In the fourteenth O2- site, O2- is bonded to two equivalent Li1+, one Cu1+, and one C4+ atom to form distorted corner-sharing OLi2CuC tetrahedra. In the fifteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two equivalent Cu1+, and one C4+ atom. In the sixteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two equivalent Cu1+, and one C4+ atom. In the seventeenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two equivalent Cu1+, and one C4+ atom. In the eighteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two equivalent Cu1+, and one C4+ atom. In the nineteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two equivalent Li1+, one Cu1+, and one C4+ atom. In the twentieth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two equivalent Cu1+, and one C4+ atom. In the twenty-first O2- site, O2- is bonded in a rectangular see-saw-like geometry to two equivalent Li1+, one Cu1+, and one C4+ atom. In the twenty-second O2- site, O2- is bonded in a rectangular see-saw-like geometry to two equivalent Li1+, one Cu1+, and one C4+ atom. In the twenty-third O2- site, O2- is bonded in a rectangular see-saw-like geometry to two equivalent Li1+, one Cu1+, and one C4+ atom. In the twenty-fourth O2- site, O2- is bonded to two equivalent Li1+, one Cu1+, and one C4+ atom to form distorted corner-sharing OLi2CuC tetrahedra. In the twenty-fifth O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Li1+, one Cu1+, and one C4+ atom. In the twenty-sixth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two equivalent Cu1+, and one C4+ atom. In the twenty-seventh O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two equivalent Cu1+, and one C4+ atom.

36 MATERIALS SCIENCE↗

Materials Data on K4Nb2S11 by Materials Project

K4Nb2S11 crystallizes in the orthorhombic Pca2_1 space group. The structure is three-dimensional. there are four inequivalent K1+ sites. In the first K1+ site, K1+ is bonded in a 7-coordinate geometry to seven S+1.27- atoms. There are a spread of K–S bond distances ranging from 3.09–3.67 Å. In the second K1+ site, K1+ is bonded in a 8-coordinate geometry to eight S+1.27- atoms. There are a spread of K–S bond distances ranging from 3.31–3.67 Å. In the third K1+ site, K1+ is bonded in a 7-coordinate geometry to seven S+1.27- atoms. There are a spread of K–S bond distances ranging from 3.30–3.60 Å. In the fourth K1+ site, K1+ is bonded in a 9-coordinate geometry to nine S+1.27- atoms. There are a spread of K–S bond distances ranging from 3.29–3.72 Å. There are two inequivalent Nb5+ sites. In the first Nb5+ site, Nb5+ is bonded in a 7-coordinate geometry to seven S+1.27- atoms. There are a spread of Nb–S bond distances ranging from 2.26–2.86 Å. In the second Nb5+ site, Nb5+ is bonded in a 7-coordinate geometry to seven S+1.27- atoms. There are a spread of Nb–S bond distances ranging from 2.26–2.87 Å. There are eleven inequivalent S+1.27- sites. In the first S+1.27- site, S+1.27- is bonded in a 1-coordinate geometry to four K1+, one Nb5+, and one S+1.27- atom. The S–S bond length is 2.08 Å. In the second S+1.27- site, S+1.27- is bonded in a 1-coordinate geometry to two K1+, two Nb5+, and one S+1.27- atom. The S–S bond length is 2.08 Å. In the third S+1.27- site, S+1.27- is bonded in a 5-coordinate geometry to three K1+, one Nb5+, and one S+1.27- atom. The S–S bond length is 2.09 Å. In the fourth S+1.27- site, S+1.27- is bonded in a 5-coordinate geometry to three K1+, one Nb5+, and one S+1.27- atom. In the fifth S+1.27- site, S+1.27- is bonded in a 5-coordinate geometry to three K1+, one Nb5+, and one S+1.27- atom. In the sixth S+1.27- site, S+1.27- is bonded in a distorted rectangular see-saw-like geometry to three K1+ and one Nb5+ atom. In the seventh S+1.27- site, S+1.27- is bonded in a 5-coordinate geometry to three K1+ and two Nb5+ atoms. In the eighth S+1.27- site, S+1.27- is bonded in a 5-coordinate geometry to two K1+, two Nb5+, and one S+1.27- atom. The S–S bond length is 2.08 Å. In the ninth S+1.27- site, S+1.27- is bonded in a distorted rectangular see-saw-like geometry to three K1+ and one Nb5+ atom. In the tenth S+1.27- site, S+1.27- is bonded in a 4-coordinate geometry to two K1+, one Nb5+, and one S+1.27- atom. In the eleventh S+1.27- site, S+1.27- is bonded in a distorted trigonal bipyramidal geometry to three K1+, one Nb5+, and one S+1.27- atom.

36 MATERIALS SCIENCE↗

Materials Data on Li2Mn3(BO3)3 by Materials Project

Li2Mn3(BO3)3 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are four inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four MnO5 trigonal bipyramids and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.91–2.06 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four MnO5 trigonal bipyramids and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.95–2.04 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 trigonal pyramids that share corners with four MnO5 trigonal bipyramids, an edgeedge with one MnO5 trigonal bipyramid, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Li–O bond distances ranging from 1.95–2.04 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 trigonal pyramids that share corners with four MnO5 trigonal bipyramids, an edgeedge with one MnO5 trigonal bipyramid, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Li–O bond distances ranging from 1.95–2.04 Å. There are six inequivalent Mn+2.33+ sites. In the first Mn+2.33+ site, Mn+2.33+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.05–2.30 Å. In the second Mn+2.33+ site, Mn+2.33+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with two equivalent LiO4 tetrahedra, corners with two LiO4 trigonal pyramids, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.02–2.11 Å. In the third Mn+2.33+ site, Mn+2.33+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with three LiO4 tetrahedra and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 1.96–2.12 Å. In the fourth Mn+2.33+ site, Mn+2.33+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with two LiO4 trigonal pyramids, an edgeedge with one LiO4 tetrahedra, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.06–2.27 Å. In the fifth Mn+2.33+ site, Mn+2.33+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, corners with two equivalent LiO4 trigonal pyramids, edges with two MnO5 trigonal bipyramids, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Mn–O bond distances ranging from 2.09–2.25 Å. In the sixth Mn+2.33+ site, Mn+2.33+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, corners with two equivalent LiO4 trigonal pyramids, edges with two MnO5 trigonal bipyramids, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Mn–O bond distances ranging from 2.10–2.31 Å. There are six inequivalent B3+ sites. In the first B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.35–1.42 Å. In the second B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.37–1.42 Å. In the third B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.37–1.41 Å. In the fourth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.35–1.44 Å. In the fifth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.37–1.41 Å. In the sixth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.38 Å) and two longer (1.40 Å) B–O bond length. There are eighteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.33+ and one B3+ atom. In the second O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Mn+2.33+ and one B3+ atom. In the third O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Mn+2.33+, and one B3+ atom. In the fourth O2- site, O2- is bonded to one Li1+, two Mn+2.33+, and one B3+ atom to form distorted edge-sharing OLiMn2B tetrahedra. In the fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+2.33+, and one B3+ atom. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.33+, and one B3+ atom. In the seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.33+, and one B3+ atom. In the eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.33+, and one B3+ atom. In the ninth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.33+, and one B3+ atom. In the tenth O2- site, O2- is bonded to one Li1+, two Mn+2.33+, and one B3+ atom to form distorted edge-sharing OLiMn2B tetrahedra. In the eleventh O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn+2.33+, and one B3+ atom. In the twelfth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Mn+2.33+, and one B3+ atom. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.33+, and one B3+ atom. In the fourteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.33+ and one B3+ atom. In the fifteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Mn+2.33+ and one B3+ atom. In the sixteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Mn+2.33+, and one B3+ atom. In the seventeenth O2- site, O2- is bonded in a distorted tetrahedral geometry to one Li1+, two Mn+2.33+, and one B3+ atom. In the eighteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.33+, and one B3+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li5V4(PO4)6 by Materials Project

Li5V4(PO4)6 crystallizes in the monoclinic Pc space group. The structure is three-dimensional. there are five inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 2.00–2.50 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four PO4 tetrahedra and edges with two VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.94–2.03 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 trigonal pyramids that share corners with four PO4 tetrahedra and edges with two VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.96–1.99 Å. In the fourth Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.90–2.43 Å. In the fifth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.95–2.54 Å. There are four inequivalent V+3.25+ sites. In the first V+3.25+ site, V+3.25+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.91–2.03 Å. In the second V+3.25+ site, V+3.25+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of V–O bond distances ranging from 1.95–2.13 Å. In the third V+3.25+ site, V+3.25+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of V–O bond distances ranging from 1.95–2.11 Å. In the fourth V+3.25+ site, V+3.25+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.94–2.14 Å. There are six inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four VO6 octahedra and a cornercorner with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 22–36°. There are a spread of P–O bond distances ranging from 1.52–1.59 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four VO6 octahedra and a cornercorner with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 17–44°. There are a spread of P–O bond distances ranging from 1.51–1.58 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 10–41°. There are a spread of P–O bond distances ranging from 1.53–1.56 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 6–43°. There are a spread of P–O bond distances ranging from 1.51–1.58 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four VO6 octahedra and a cornercorner with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 8–41°. There are a spread of P–O bond distances ranging from 1.52–1.57 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four VO6 octahedra and a cornercorner with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 26–36°. There are a spread of P–O bond distances ranging from 1.53–1.56 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+3.25+, and one P5+ atom. In the second O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+3.25+, and one P5+ atom. In the third O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+3.25+, and one P5+ atom. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+3.25+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+3.25+ and one P5+ atom. In the sixth O2- site, O2- is bonded in a distorted linear geometry to one V+3.25+ and one P5+ atom. In the seventh O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+3.25+, and one P5+ atom. In the eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one V+3.25+, and one P5+ atom. In the ninth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+3.25+, and one P5+ atom. In the tenth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one V+3.25+, and one P5+ atom. In the eleventh O2- site, O2- is bonded in a linear geometry to one V+3.25+ and one P5+ atom. In the twelfth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one V+3.25+, and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+3.25+, and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a linear geometry to one V+3.25+ and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a distorted tetrahedral geometry to two Li1+, one V+3.25+, and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+3.25+, and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+3.25+, and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one V+3.25+, and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a linear geometry to one V+3.25+ and one P5+ atom. In the twentieth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+3.25+ and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+3.25+, and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one V+3.25+, and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, one V+3.25+, and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+3.25+ and one P5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Cu2(ReSe2)3 by Materials Project

Cu2(ReSe2)3 crystallizes in the monoclinic C2/c space group. The structure is three-dimensional. there are three inequivalent Re+3.33+ sites. In the first Re+3.33+ site, Re+3.33+ is bonded to five Se2- atoms to form a mixture of edge and corner-sharing ReSe5 square pyramids. There are a spread of Re–Se bond distances ranging from 2.52–2.67 Å. In the second Re+3.33+ site, Re+3.33+ is bonded to five Se2- atoms to form a mixture of edge and corner-sharing ReSe5 square pyramids. There are a spread of Re–Se bond distances ranging from 2.52–2.65 Å. In the third Re+3.33+ site, Re+3.33+ is bonded to five Se2- atoms to form edge-sharing ReSe5 square pyramids. There are a spread of Re–Se bond distances ranging from 2.53–2.58 Å. There are three inequivalent Cu1+ sites. In the first Cu1+ site, Cu1+ is bonded in a linear geometry to two equivalent Se2- atoms. Both Cu–Se bond lengths are 2.31 Å. In the second Cu1+ site, Cu1+ is bonded in a 2-coordinate geometry to three Se2- atoms. There are a spread of Cu–Se bond distances ranging from 2.32–3.09 Å. In the third Cu1+ site, Cu1+ is bonded in a 2-coordinate geometry to four Se2- atoms. There are two shorter (2.49 Å) and two longer (3.12 Å) Cu–Se bond lengths. There are six inequivalent Se2- sites. In the first Se2- site, Se2- is bonded in a 5-coordinate geometry to three Re+3.33+ atoms. In the second Se2- site, Se2- is bonded to two Re+3.33+ and two Cu1+ atoms to form corner-sharing SeCu2Re2 tetrahedra. In the third Se2- site, Se2- is bonded in a 4-coordinate geometry to three Re+3.33+ and one Cu1+ atom. In the fourth Se2- site, Se2- is bonded in a 6-coordinate geometry to three Re+3.33+ atoms. In the fifth Se2- site, Se2- is bonded in a distorted rectangular see-saw-like geometry to three Re+3.33+ and one Cu1+ atom. In the sixth Se2- site, Se2- is bonded in a 4-coordinate geometry to one Re+3.33+ and two Cu1+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Cr12Fe3S20 by Materials Project

Cr12Fe3S20 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are six inequivalent Cr+2.83+ sites. In the first Cr+2.83+ site, Cr+2.83+ is bonded to six S2- atoms to form CrS6 octahedra that share corners with twelve CrS6 octahedra, edges with two FeS6 octahedra, and faces with two CrS6 octahedra. The corner-sharing octahedra tilt angles range from 51–56°. There are a spread of Cr–S bond distances ranging from 2.36–2.40 Å. In the second Cr+2.83+ site, Cr+2.83+ is bonded to six S2- atoms to form CrS6 octahedra that share a cornercorner with one CrS6 octahedra, corners with five FeS6 octahedra, edges with six CrS6 octahedra, and a faceface with one CrS6 octahedra. The corner-sharing octahedra tilt angles range from 52–55°. There are a spread of Cr–S bond distances ranging from 2.28–2.48 Å. In the third Cr+2.83+ site, Cr+2.83+ is bonded to six S2- atoms to form CrS6 octahedra that share corners with three equivalent CrS6 octahedra, corners with three FeS6 octahedra, edges with six CrS6 octahedra, and a faceface with one FeS6 octahedra. The corner-sharing octahedra tilt angles range from 51–56°. There are a spread of Cr–S bond distances ranging from 2.26–2.46 Å. In the fourth Cr+2.83+ site, Cr+2.83+ is bonded to six S2- atoms to form distorted CrS6 octahedra that share corners with two equivalent FeS6 octahedra, corners with four equivalent CrS6 octahedra, edges with six CrS6 octahedra, and a faceface with one FeS6 octahedra. The corner-sharing octahedra tilt angles range from 51–56°. There are a spread of Cr–S bond distances ranging from 2.25–2.46 Å. In the fifth Cr+2.83+ site, Cr+2.83+ is bonded to six S2- atoms to form CrS6 octahedra that share corners with three equivalent CrS6 octahedra, corners with three FeS6 octahedra, edges with six CrS6 octahedra, and a faceface with one FeS6 octahedra. The corner-sharing octahedra tilt angles range from 48–54°. There are a spread of Cr–S bond distances ranging from 2.27–2.47 Å. In the sixth Cr+2.83+ site, Cr+2.83+ is bonded to six S2- atoms to form distorted CrS6 octahedra that share a cornercorner with one CrS6 octahedra, corners with five FeS6 octahedra, edges with six CrS6 octahedra, and a faceface with one CrS6 octahedra. The corner-sharing octahedra tilt angles range from 51–56°. There are a spread of Cr–S bond distances ranging from 2.25–2.49 Å. There are two inequivalent Fe2+ sites. In the first Fe2+ site, Fe2+ is bonded to six S2- atoms to form FeS6 octahedra that share corners with twelve CrS6 octahedra, an edgeedge with one CrS6 octahedra, an edgeedge with one FeS6 octahedra, and faces with two CrS6 octahedra. The corner-sharing octahedra tilt angles range from 48–55°. There are a spread of Fe–S bond distances ranging from 2.27–2.49 Å. In the second Fe2+ site, Fe2+ is bonded to six S2- atoms to form FeS6 octahedra that share corners with twelve CrS6 octahedra, edges with two equivalent CrS6 octahedra, and faces with two equivalent CrS6 octahedra. The corner-sharing octahedra tilt angles range from 52–54°. There are two shorter (2.29 Å) and four longer (2.36 Å) Fe–S bond lengths. There are ten inequivalent S2- sites. In the first S2- site, S2- is bonded in a 5-coordinate geometry to four Cr+2.83+ and one Fe2+ atom. In the second S2- site, S2- is bonded in a 5-coordinate geometry to three Cr+2.83+ and two equivalent Fe2+ atoms. In the third S2- site, S2- is bonded in a 5-coordinate geometry to four Cr+2.83+ and one Fe2+ atom. In the fourth S2- site, S2- is bonded in a 5-coordinate geometry to four Cr+2.83+ and one Fe2+ atom. In the fifth S2- site, S2- is bonded in a 5-coordinate geometry to four Cr+2.83+ and one Fe2+ atom. In the sixth S2- site, S2- is bonded in a 4-coordinate geometry to three Cr+2.83+ and one Fe2+ atom. In the seventh S2- site, S2- is bonded in a 4-coordinate geometry to four Cr+2.83+ atoms. In the eighth S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to three Cr+2.83+ and one Fe2+ atom. In the ninth S2- site, S2- is bonded in a 4-coordinate geometry to three Cr+2.83+ and one Fe2+ atom. In the tenth S2- site, S2- is bonded in a 4-coordinate geometry to four Cr+2.83+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Te16(Mo3Ru)3 by Materials Project

Te16(Mo3Ru)3 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are nine inequivalent Mo+2.89+ sites. In the first Mo+2.89+ site, Mo+2.89+ is bonded to five Te2- atoms to form MoTe5 square pyramids that share a cornercorner with one RuTe5 square pyramid, corners with three MoTe5 square pyramids, an edgeedge with one RuTe5 square pyramid, and edges with four MoTe5 square pyramids. There are a spread of Mo–Te bond distances ranging from 2.71–2.88 Å. In the second Mo+2.89+ site, Mo+2.89+ is bonded to five Te2- atoms to form MoTe5 square pyramids that share a cornercorner with one RuTe5 square pyramid, corners with three MoTe5 square pyramids, edges with two RuTe5 square pyramids, and edges with three MoTe5 square pyramids. There are a spread of Mo–Te bond distances ranging from 2.72–2.84 Å. In the third Mo+2.89+ site, Mo+2.89+ is bonded to five Te2- atoms to form MoTe5 square pyramids that share corners with two MoTe5 square pyramids, corners with two RuTe5 square pyramids, an edgeedge with one RuTe5 square pyramid, and edges with four MoTe5 square pyramids. There are a spread of Mo–Te bond distances ranging from 2.76–2.88 Å. In the fourth Mo+2.89+ site, Mo+2.89+ is bonded to five Te2- atoms to form MoTe5 square pyramids that share corners with four MoTe5 square pyramids, edges with two RuTe5 square pyramids, and edges with three MoTe5 square pyramids. There are a spread of Mo–Te bond distances ranging from 2.72–2.85 Å. In the fifth Mo+2.89+ site, Mo+2.89+ is bonded to five Te2- atoms to form MoTe5 square pyramids that share a cornercorner with one RuTe5 square pyramid, corners with three MoTe5 square pyramids, an edgeedge with one RuTe5 square pyramid, and edges with four MoTe5 square pyramids. There are a spread of Mo–Te bond distances ranging from 2.74–2.88 Å. In the sixth Mo+2.89+ site, Mo+2.89+ is bonded to five Te2- atoms to form MoTe5 square pyramids that share a cornercorner with one RuTe5 square pyramid, corners with three MoTe5 square pyramids, edges with two RuTe5 square pyramids, and edges with three MoTe5 square pyramids. There are a spread of Mo–Te bond distances ranging from 2.73–2.84 Å. In the seventh Mo+2.89+ site, Mo+2.89+ is bonded to five Te2- atoms to form MoTe5 square pyramids that share a cornercorner with one RuTe5 square pyramid, corners with three MoTe5 square pyramids, an edgeedge with one RuTe5 square pyramid, and edges with four MoTe5 square pyramids. There are a spread of Mo–Te bond distances ranging from 2.73–2.86 Å. In the eighth Mo+2.89+ site, Mo+2.89+ is bonded to five Te2- atoms to form MoTe5 square pyramids that share corners with two MoTe5 square pyramids, corners with two RuTe5 square pyramids, edges with two RuTe5 square pyramids, and edges with three MoTe5 square pyramids. There are a spread of Mo–Te bond distances ranging from 2.71–2.88 Å. In the ninth Mo+2.89+ site, Mo+2.89+ is bonded to five Te2- atoms to form MoTe5 square pyramids that share a cornercorner with one RuTe5 square pyramid, corners with three MoTe5 square pyramids, an edgeedge with one RuTe5 square pyramid, and edges with four MoTe5 square pyramids. There are a spread of Mo–Te bond distances ranging from 2.72–2.88 Å. There are three inequivalent Ru2+ sites. In the first Ru2+ site, Ru2+ is bonded to five Te2- atoms to form RuTe5 square pyramids that share a cornercorner with one RuTe5 square pyramid, corners with three MoTe5 square pyramids, an edgeedge with one RuTe5 square pyramid, and edges with four MoTe5 square pyramids. There are a spread of Ru–Te bond distances ranging from 2.66–2.83 Å. In the second Ru2+ site, Ru2+ is bonded to five Te2- atoms to form RuTe5 square pyramids that share corners with four MoTe5 square pyramids and edges with five MoTe5 square pyramids. There are a spread of Ru–Te bond distances ranging from 2.68–2.81 Å. In the third Ru2+ site, Ru2+ is bonded to five Te2- atoms to form RuTe5 square pyramids that share a cornercorner with one RuTe5 square pyramid, corners with three MoTe5 square pyramids, an edgeedge with one RuTe5 square pyramid, and edges with four MoTe5 square pyramids. There are a spread of Ru–Te bond distances ranging from 2.65–2.82 Å. There are sixteen inequivalent Te2- sites. In the first Te2- site, Te2- is bonded in a 6-coordinate geometry to one Mo+2.89+ and two Ru2+ atoms. In the second Te2- site, Te2- is bonded in a 6-coordinate geometry to two Mo+2.89+ and one Ru2+ atom. In the third Te2- site, Te2- is bonded in a 6-coordinate geometry to three Mo+2.89+ atoms. In the fourth Te2- site, Te2- is bonded in a 6-coordinate geometry to three Mo+2.89+ atoms. In the fifth Te2- site, Te2- is bonded in a distorted rectangular see-saw-like geometry to two Mo+2.89+ and two Ru2+ atoms. In the sixth Te2- site, Te2- is bonded in a distorted rectangular see-saw-like geometry to three Mo+2.89+ and one Ru2+ atom. In the seventh Te2- site, Te2- is bonded in a distorted rectangular see-saw-like geometry to three Mo+2.89+ and one Ru2+ atom. In the eighth Te2- site, Te2- is bonded in a 4-coordinate geometry to four Mo+2.89+ atoms. In the ninth Te2- site, Te2- is bonded in a 4-coordinate geometry to three Mo+2.89+ and one Ru2+ atom. In the tenth Te2- site, Te2- is bonded in a 4-coordinate geometry to three Mo+2.89+ and one Ru2+ atom. In the eleventh Te2- site, Te2- is bonded in a 4-coordinate geometry to three Mo+2.89+ and one Ru2+ atom. In the twelfth Te2- site, Te2- is bonded in a 4-coordinate geometry to three Mo+2.89+ and one Ru2+ atom. In the thirteenth Te2- site, Te2- is bonded in a 4-coordinate geometry to two Mo+2.89+ and two Ru2+ atoms. In the fourteenth Te2- site, Te2- is bonded in a 4-coordinate geometry to three Mo+2.89+ and one Ru2+ atom. In the fifteenth Te2- site, Te2- is bonded in a 4-coordinate geometry to three Mo+2.89+ and one Ru2+ atom. In the sixteenth Te2- site, Te2- is bonded in a 4-coordinate geometry to four Mo+2.89+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Ba3Fe26O41 by Materials Project

Ba3Fe26O41 is beta indium sulfide-derived structured and crystallizes in the orthorhombic Cmcm space group. The structure is three-dimensional. there are two inequivalent Ba2+ sites. In the first Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form distorted BaO12 cuboctahedra that share corners with six equivalent BaO12 cuboctahedra, corners with three equivalent FeO6 octahedra, edges with three FeO6 octahedra, edges with three equivalent FeO4 tetrahedra, faces with three equivalent BaO12 cuboctahedra, faces with six FeO6 octahedra, and a faceface with one FeO4 tetrahedra. The corner-sharing octahedra tilt angles range from 14–15°. There are a spread of Ba–O bond distances ranging from 2.81–3.27 Å. In the second Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with six equivalent BaO12 cuboctahedra, edges with six equivalent FeO6 octahedra, edges with three equivalent FeO5 trigonal bipyramids, and faces with six equivalent FeO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.92–3.02 Å. There are eleven inequivalent Fe+2.92+ sites. In the first Fe+2.92+ site, Fe+2.92+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six equivalent FeO4 tetrahedra, faces with six equivalent BaO12 cuboctahedra, and faces with two equivalent FeO6 octahedra. There are four shorter (2.08 Å) and two longer (2.09 Å) Fe–O bond lengths. In the second Fe+2.92+ site, Fe+2.92+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with nine FeO6 octahedra, edges with three equivalent BaO12 cuboctahedra, and a faceface with one BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 17–62°. There is three shorter (1.90 Å) and one longer (1.96 Å) Fe–O bond length. In the third Fe+2.92+ site, Fe+2.92+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with three equivalent BaO12 cuboctahedra, corners with six FeO6 octahedra, corners with three equivalent FeO4 tetrahedra, faces with three equivalent BaO12 cuboctahedra, and a faceface with one FeO6 octahedra. The corner-sharing octahedra tilt angles range from 52–53°. There are three shorter (2.09 Å) and three longer (2.28 Å) Fe–O bond lengths. In the fourth Fe+2.92+ site, Fe+2.92+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with four FeO4 tetrahedra, an edgeedge with one BaO12 cuboctahedra, and edges with five FeO6 octahedra. The corner-sharing octahedral tilt angles are 53°. There are a spread of Fe–O bond distances ranging from 1.95–2.15 Å. In the fifth Fe+2.92+ site, Fe+2.92+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with four FeO4 tetrahedra, an edgeedge with one BaO12 cuboctahedra, and edges with five FeO6 octahedra. The corner-sharing octahedral tilt angles are 52°. There are a spread of Fe–O bond distances ranging from 1.95–2.15 Å. In the sixth Fe+2.92+ site, Fe+2.92+ is bonded to four O2- atoms to form corner-sharing FeO4 tetrahedra. The corner-sharing octahedra tilt angles range from 54–60°. There is three shorter (1.94 Å) and one longer (1.95 Å) Fe–O bond length. In the seventh Fe+2.92+ site, Fe+2.92+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six FeO4 tetrahedra and edges with six FeO6 octahedra. There are three shorter (2.03 Å) and three longer (2.04 Å) Fe–O bond lengths. In the eighth Fe+2.92+ site, Fe+2.92+ is bonded to four O2- atoms to form corner-sharing FeO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–60°. There is three shorter (1.94 Å) and one longer (1.95 Å) Fe–O bond length. In the ninth Fe+2.92+ site, Fe+2.92+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with three FeO4 tetrahedra, a cornercorner with one FeO5 trigonal bipyramid, an edgeedge with one BaO12 cuboctahedra, and edges with five FeO6 octahedra. The corner-sharing octahedral tilt angles are 53°. There are a spread of Fe–O bond distances ranging from 1.96–2.14 Å. In the tenth Fe+2.92+ site, Fe+2.92+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six equivalent FeO6 octahedra, corners with three equivalent FeO5 trigonal bipyramids, faces with three equivalent BaO12 cuboctahedra, and a faceface with one FeO6 octahedra. The corner-sharing octahedra tilt angles range from 52–53°. There are three shorter (2.03 Å) and three longer (2.11 Å) Fe–O bond lengths. In the eleventh Fe+2.92+ site, Fe+2.92+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share corners with twelve FeO6 octahedra and edges with three equivalent BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 42–60°. There are three shorter (1.91 Å) and two longer (2.32 Å) Fe–O bond lengths. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted tetrahedral geometry to four Fe+2.92+ atoms. In the second O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Fe+2.92+ atoms. In the third O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Fe+2.92+ atoms. In the fourth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Fe+2.92+ atoms. In the fifth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Fe+2.92+ atoms. In the sixth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Fe+2.92+ atoms. In the seventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Fe+2.92+ atoms. Both O–Fe bond lengths are 2.14 Å. In the eighth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Fe+2.92+ atoms. In the ninth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Fe+2.92+ atoms. In the tenth O2- site, O2- is bonded in a 3-coordinate geometry to one Ba2+ and three Fe+2.92+ atoms. In the eleventh O2- site, O2- is bonded in a 3-coordinate geometry to one Ba2+ and three Fe+2.92+ atoms. Both O–Fe bond lengths are 1.96 Å. In the twelfth O2- site, O2- is bonded to four Fe+2.92+ atoms to form distorted corner-sharing OFe4 tetrahedra. In the thirteenth O2- site, O2- is bonded in a 5-coordinate geometry to two equivalent Ba2+ and three Fe+2.92+ atoms. In the fourteenth O2- site, O2- is bonded in a 5-coordinate geometry to two equivalent Ba2+ and three Fe+2.92+ atoms. In the fifteenth O2- site, O2- is bonded in a 3-coordinate geometry to three equivalent Ba2+ and three Fe+2.92+ atoms. In the sixteenth O2- site, O2- is bonded in a 3-coordinate geometry to three equivalent Ba2+ and three Fe+2.92+ atoms.

36 MATERIALS SCIENCE↗