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Materials Data on Li3FePCO7 by Materials Project

Li3FeCO3PO4 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twelve 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 1.92–2.54 Å. In the second 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 1.93–2.24 Å. In the third Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share corners with two FeO6 octahedra, corners with three PO4 tetrahedra, an edgeedge with one FeO6 octahedra, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 65–89°. There are a spread of Li–O bond distances ranging from 2.09–2.38 Å. In the fourth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share corners with two FeO6 octahedra, corners with three PO4 tetrahedra, an edgeedge with one FeO6 octahedra, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 68–88°. There are a spread of Li–O bond distances ranging from 2.09–2.31 Å. In the fifth 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 2.06–2.57 Å. In the sixth 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 1.98–2.48 Å. In the seventh Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share a cornercorner with one FeO6 octahedra, corners with three PO4 tetrahedra, an edgeedge with one FeO6 octahedra, and edges with two LiO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 91°. There are a spread of Li–O bond distances ranging from 2.05–2.47 Å. In the eighth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share corners with two FeO6 octahedra, corners with three PO4 tetrahedra, an edgeedge with one FeO6 octahedra, and edges with two LiO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 64–89°. There are a spread of Li–O bond distances ranging from 2.06–2.43 Å. In the ninth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share corners with two FeO6 octahedra, corners with three PO4 tetrahedra, an edgeedge with one FeO6 octahedra, and edges with two LiO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 67–88°. There are a spread of Li–O bond distances ranging from 2.09–2.36 Å. In the tenth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share a cornercorner with one FeO6 octahedra, corners with three PO4 tetrahedra, an edgeedge with one FeO6 octahedra, and edges with two LiO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 89°. There are a spread of Li–O bond distances ranging from 2.08–2.48 Å. In the eleventh 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 1.94–2.58 Å. In the twelfth 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 1.93–2.26 Å. There are four inequivalent Fe2+ sites. In the first Fe2+ site, Fe2+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Fe–O bond distances ranging from 2.06–2.70 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, corners with four LiO5 trigonal bipyramids, and edges with two LiO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 2.04–2.31 Å. In the third Fe2+ site, Fe2+ is bonded to six O2- atoms to form distorted FeO6 octahedra that share corners with four PO4 tetrahedra, corners with three LiO5 trigonal bipyramids, and edges with two LiO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 2.03–2.33 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, corners with three LiO5 trigonal bipyramids, and edges with two LiO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 2.10–2.37 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 are a spread of C–O bond distances ranging from 1.29–1.31 Å. In the second C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.28 Å) and two longer (1.31 Å) C–O bond length. In the third 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 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 1.28–1.32 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 three FeO6 octahedra and corners with four LiO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 44–65°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three FeO6 octahedra and corners with four LiO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 47–63°. 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 four FeO6 octahedra and corners with six LiO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 45–64°. 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 two FeO6 octahedra and corners with four LiO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 47–48°. 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 distorted bent 120 degrees geometry to two Li1+, one Fe2+, and one C4+ atom. In the second O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, one Fe2+, and one C4+ atom. In the third O2- site, O2- is bonded to two Li1+, one Fe2+, and one C4+ atom to form distorted edge-sharing OLi2FeC tetrahedra. In the fourth O2- site, O2- is bonded to three Li1+ and one C4+ atom to form edge-sharing OLi3C tetrahedra. In the fifth O2- site, O2- is bonded in a 1-coordinate geometry to three Li1+, one Fe2+, and one C4+ atom. In the sixth O2- site, O2- is bonded in a 1-coordinate geometry to two Li1+, one Fe2+, and one C4+ atom. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Fe2+, and one P5+ atom. In the eighth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Fe2+, and one P5+ atom. In the ninth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Fe2+, and one P5+ atom. In the tenth O2- site, O2- is bonded in a 4-coordinate geometry to three Li1+ and one P5+ atom. In the eleventh O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Fe2+, and one P5+ atom. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Fe2+, and one P5+ atom. In the thirteenth O2- site, O2- is bonded to two Li1+, one Fe2+, and one P5+ atom to form edge-sharing OLi2FeP tetrahedra. In the fourteenth O2- site, O2- is bonded to one Li1+, two Fe2+, and one P5+ atom to form distorted edge-sharing OLiFe2P tetrahedra. In the fifteenth O2- site, O2- is bonded to two Li1+, one Fe2+, and one P5+ atom to form distorted edge-sharing OLi2FeP tetrahedra. In the sixteenth O2- site, O2- is bonded to three Li1+ and one P5+ atom to form edge-sharing OLi3P tetrahedra. In the seventeenth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Fe2+, and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Fe2+, and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Fe2+, and one P5+ atom. In the twentieth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Fe2+, and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Fe2+, and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Fe2+, and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a distorted single-bond geometry to three Li1+, one Fe2+, and one C4+ atom. In the twenty-fourth O2- site, O2- is bonded in a 1-coordinate geometry to two Li1+, one Fe2+, and one C4+ atom. In the twenty-fifth O2- site, O2- is bonded to three Li1+ and one C4+ atom to form edge-sharing OLi3C tetrahedra. In the twenty-sixth O2- site, O2- is bonded to three Li1+ and one C4+ atom to form distorted edge-sharing OLi3C tetrahedra. In the twenty-seventh O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Li1+, one Fe2+, and one C4+ atom. In the twenty-eighth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Li1+, one Fe2+, and one C4+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Mn4Ga3Cu2 by Materials Project

Mn4Cu2Ga3 crystallizes in the hexagonal P-6m2 space group. The structure is three-dimensional. there are five inequivalent Mn sites. In the first Mn site, Mn is bonded to six Mn and five Ga atoms to form a mixture of distorted face and corner-sharing MnMn6Ga5 trigonal bipyramids. All Mn–Mn bond lengths are 2.75 Å. There are a spread of Mn–Ga bond distances ranging from 2.42–2.66 Å. In the second Mn site, Mn is bonded in a 12-coordinate geometry to two Mn, six Cu, and six Ga atoms. There are one shorter (2.64 Å) and one longer (2.70 Å) Mn–Mn bond lengths. There are three shorter (2.76 Å) and three longer (2.78 Å) Mn–Cu bond lengths. There are three shorter (2.76 Å) and three longer (2.78 Å) Mn–Ga bond lengths. In the third Mn site, Mn is bonded in a 9-coordinate geometry to five Mn, three equivalent Cu, and six Ga atoms. The Mn–Mn bond length is 2.58 Å. All Mn–Cu bond lengths are 2.77 Å. There are three shorter (2.75 Å) and three longer (2.77 Å) Mn–Ga bond lengths. In the fourth Mn site, Mn is bonded in a 10-coordinate geometry to five Mn, three equivalent Cu, and six Ga atoms. There are a spread of Mn–Mn bond distances ranging from 2.58–2.75 Å. All Mn–Cu bond lengths are 2.79 Å. There are three shorter (2.75 Å) and three longer (2.79 Å) Mn–Ga bond lengths. In the fifth Mn site, Mn is bonded in a 10-coordinate geometry to five Mn, three equivalent Cu, and six Ga atoms. All Mn–Cu bond lengths are 2.79 Å. There are three shorter (2.75 Å) and three longer (2.79 Å) Mn–Ga bond lengths. There are three inequivalent Cu sites. In the first Cu site, Cu is bonded in a 11-coordinate geometry to six Mn and five Ga atoms. There are a spread of Cu–Ga bond distances ranging from 2.42–2.68 Å. In the second Cu site, Cu is bonded in a 11-coordinate geometry to six Mn and five Ga atoms. There are three shorter (2.42 Å) and two longer (2.66 Å) Cu–Ga bond lengths. In the third Cu site, Cu is bonded in a 11-coordinate geometry to six equivalent Mn and five Ga atoms. There are three shorter (2.42 Å) and two longer (2.67 Å) Cu–Ga bond lengths. There are four inequivalent Ga sites. In the first Ga site, Ga is bonded in a 11-coordinate geometry to six equivalent Mn and five Cu atoms. In the second Ga site, Ga is bonded in a 11-coordinate geometry to nine Mn and two Cu atoms. In the third Ga site, Ga is bonded in a 11-coordinate geometry to seven Mn and four Cu atoms. In the fourth Ga site, Ga is bonded in a 11-coordinate geometry to eight Mn and three equivalent Cu atoms.

36 MATERIALS SCIENCE↗

Materials Data on Li9Mn2Co5O16 by Materials Project

Li9Mn2Co5O16 is Caswellsilverite-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are nine inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with four CoO6 octahedra, an edgeedge with one MnO6 octahedra, edges with five CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–12°. There are a spread of Li–O bond distances ranging from 2.08–2.35 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three MnO6 octahedra, corners with three CoO6 octahedra, an edgeedge with one MnO6 octahedra, edges with three CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–11°. There are a spread of Li–O bond distances ranging from 2.12–2.32 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one MnO6 octahedra, corners with two equivalent LiO6 octahedra, corners with three CoO6 octahedra, edges with two equivalent MnO6 octahedra, edges with three CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–13°. There are a spread of Li–O bond distances ranging from 1.99–2.30 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with two equivalent MnO6 octahedra, corners with three CoO6 octahedra, an edgeedge with one MnO6 octahedra, edges with five CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–11°. There are a spread of Li–O bond distances ranging from 2.01–2.17 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with five CoO6 octahedra, edges with two CoO6 octahedra, edges with four MnO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–9°. There are a spread of Li–O bond distances ranging from 2.07–2.23 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one MnO6 octahedra, corners with five CoO6 octahedra, edges with two equivalent MnO6 octahedra, edges with two CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–11°. There are a spread of Li–O bond distances ranging from 2.12–2.25 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three MnO6 octahedra, corners with three CoO6 octahedra, an edgeedge with one MnO6 octahedra, edges with five CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–10°. There are a spread of Li–O bond distances ranging from 2.11–2.16 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with four CoO6 octahedra, edges with five CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–12°. There are a spread of Li–O bond distances ranging from 2.02–2.23 Å. In the ninth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with two equivalent CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–13°. There are a spread of Li–O bond distances ranging from 2.03–2.27 Å. There are two inequivalent Mn+4.50+ sites. In the first Mn+4.50+ site, Mn+4.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with two equivalent CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–12°. There are a spread of Mn–O bond distances ranging from 1.84–2.03 Å. In the second Mn+4.50+ site, Mn+4.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–7°. There are a spread of Mn–O bond distances ranging from 1.93–2.20 Å. There are five inequivalent Co+2.80+ sites. In the first Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 3–6°. There are a spread of Co–O bond distances ranging from 1.93–2.13 Å. In the second Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–7°. There are a spread of Co–O bond distances ranging from 1.93–2.12 Å. In the third Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with four CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–11°. There are a spread of Co–O bond distances ranging from 1.75–2.18 Å. In the fourth Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–9°. There are a spread of Co–O bond distances ranging from 1.90–2.15 Å. In the fifth Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–7°. There are a spread of Co–O bond distances ranging from 1.95–2.11 Å. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded to three Li1+, two equivalent Mn+4.50+, and one Co+2.80+ atom to form OLi3Mn2Co octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 2–7°. In the second O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form OLi3Co3 octahedra that share corners with six OLi4Mn2 octahedra and edges with twelve OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–6°. In the third O2- site, O2- is bonded to five Li1+ and one Mn+4.50+ atom to form OLi5Mn octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 2–10°. In the fourth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form OLi3Co3 octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 1–7°. In the fifth O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two equivalent Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the sixth O2- site, O2- is bonded to four Li1+ and two equivalent Co+2.80+ atoms to form OLi4Co2 octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi5Mn octahedra. The corner-sharing octahedra tilt angles range from 3–10°. In the seventh O2- site, O2- is bonded to three Li1+, two equivalent Mn+4.50+, and one Co+2.80+ atom to form OLi3Mn2Co octahedra that share corners with six OLi4Mn2 octahedra and edges with twelve OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 1–4°. In the eighth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–5°. In the ninth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. In the tenth O2- site, O2- is bonded to four Li1+ and two equivalent Mn+4.50+ atoms to form a mixture of edge and corner-sharing OLi4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 3–7°. In the eleventh O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form OLi3Co3 octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 1–10°. In the twelfth O2- site, O2- is bonded to three Li1+, two equivalent Mn+4.50+, and one Co+2.80+ atom to form a mixture of edge and corner-sharing OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 1–6°. In the thirteenth O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two equivalent Co+2.80+ atoms to form OLi3MnCo2 octahedra that share corners with six OLi5Mn octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 1–5°. In the fourteenth O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two equivalent Co+2.80+ atoms to form OLi3MnCo2 octahedra that share corners with six OLi3Mn2Co octahedra and edges with twelve OLi5Mn octahedra. The corner-sharing octahedra tilt angles range from 0–8°. In the fifteenth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form OLi3Co3 octahedra that share corners with six OLi3Mn2Co octahedra and edges with twelve OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 2–10°. In the sixteenth O2- site, O2- is bonded to five Li1+ and one Co+2.80+ atom to form OLi5Co octahedra that share corners with six OLi5Mn octahedra and edges with twelve OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 2–7°.

36 MATERIALS SCIENCE↗

Materials Data on Li3CrPCO7 by Materials Project

Li3CrCPO7 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twelve 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 1.88–2.62 Å. In the second 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 1.91–2.30 Å. In the third Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share a cornercorner with one LiO6 octahedra, a cornercorner with one CrO6 octahedra, and corners with three PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 69–89°. There are a spread of Li–O bond distances ranging from 2.07–2.54 Å. In the fourth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share a cornercorner with one CrO6 octahedra, corners with three PO4 tetrahedra, an edgeedge with one CrO6 octahedra, and edges with two equivalent LiO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 65°. There are a spread of Li–O bond distances ranging from 2.07–2.47 Å. In the fifth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share a cornercorner with one CrO6 octahedra, corners with three PO4 tetrahedra, an edgeedge with one CrO6 octahedra, and edges with two equivalent LiO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 65°. There are a spread of Li–O bond distances ranging from 2.06–2.44 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with four PO4 tetrahedra and corners with two LiO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 2.02–2.51 Å. In the seventh Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share a cornercorner with one LiO6 octahedra, a cornercorner with one CrO6 octahedra, corners with three PO4 tetrahedra, and an edgeedge with one CrO6 octahedra. The corner-sharing octahedra tilt angles range from 65–92°. There are a spread of Li–O bond distances ranging from 2.14–2.25 Å. In the eighth 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 2.12–2.38 Å. In the ninth 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 2.04–2.46 Å. In the tenth 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 2.06–2.44 Å. In the eleventh 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 1.92–2.17 Å. In the twelfth 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 1.92–2.21 Å. There are four inequivalent Cr2+ sites. In the first Cr2+ site, Cr2+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Cr–O bond distances ranging from 2.07–2.34 Å. In the second Cr2+ site, Cr2+ is bonded to six O2- atoms to form distorted CrO6 octahedra that share corners with four PO4 tetrahedra, corners with two LiO5 trigonal bipyramids, and edges with two LiO5 trigonal bipyramids. There are a spread of Cr–O bond distances ranging from 2.04–2.50 Å. In the third Cr2+ site, Cr2+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Cr–O bond distances ranging from 2.04–2.54 Å. In the fourth Cr2+ site, Cr2+ is bonded to six O2- atoms to form distorted CrO6 octahedra that share corners with four PO4 tetrahedra, corners with two LiO5 trigonal bipyramids, and an edgeedge with one LiO5 trigonal bipyramid. There are a spread of Cr–O bond distances ranging from 2.04–2.47 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 are a spread of C–O bond distances ranging from 1.28–1.34 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 1.29–1.31 Å. In the third C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.28 Å) and one longer (1.36 Å) C–O bond length. In the fourth C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.28 Å) and two longer (1.31 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 a cornercorner with one LiO6 octahedra, corners with three CrO6 octahedra, and corners with four LiO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 46–64°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one CrO6 octahedra, and corners with three LiO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 51–69°. There are a spread of P–O bond distances ranging from 1.52–1.58 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one CrO6 octahedra, corners with two equivalent LiO6 octahedra, and corners with two LiO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 45–62°. There are a spread of P–O bond distances ranging from 1.54–1.59 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three CrO6 octahedra and corners with three LiO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 46–50°. There is one shorter (1.55 Å) and three longer (1.56 Å) P–O bond length. There are twenty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Li1+, one Cr2+, and one C4+ atom. In the second O2- site, O2- is bonded to two Li1+, one Cr2+, and one C4+ atom to form a mixture of edge and corner-sharing OLi2CrC tetrahedra. In the third O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Li1+, one Cr2+, and one C4+ atom. In the fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Cr2+, and one C4+ atom. In the fifth O2- site, O2- is bonded to three Li1+ and one C4+ atom to form a mixture of edge and corner-sharing OLi3C tetrahedra. In the sixth O2- site, O2- is bonded in a 1-coordinate geometry to two Li1+, one Cr2+, and one C4+ atom. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Cr2+, and one P5+ atom. In the eighth O2- site, O2- is bonded to two Li1+, one Cr2+, and one P5+ atom to form distorted corner-sharing OLi2CrP trigonal pyramids. In the ninth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Cr2+, and one P5+ atom. In the tenth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Cr2+, and one P5+ atom. In the eleventh O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Cr2+, and one P5+ atom. In the twelfth O2- site, O2- is bonded to two Li1+, one Cr2+, and one P5+ atom to form distorted OLi2CrP tetrahedra that share corners with two OLi2CrP trigonal pyramids and an edgeedge with one OLi2CrC tetrahedra. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Cr2+, and one P5+ atom. In the fourteenth O2- site, O2- is bonded to two Li1+, one Cr2+, and one P5+ atom to form distorted OLi2CrP tetrahedra that share corners with two OLi2CrP trigonal pyramids and an edgeedge with one OLi3C tetrahedra. In the fifteenth O2- site, O2- is bonded to two Li1+, one Cr2+, and one P5+ atom to form distorted OLi2CrP tetrahedra that share corners with three OLi2CrP trigonal pyramids and an edgeedge with one OLi3C trigonal pyramid. In the sixteenth O2- site, O2- is bonded to two Li1+, one Cr2+, and one P5+ atom to form distorted OLi2CrP trigonal pyramids that share corners with four OLi2CrP tetrahedra and corners with three OLi3C trigonal pyramids. In the seventeenth O2- site, O2- is bonded to two Li1+, one Cr2+, and one P5+ atom to form distorted edge-sharing OLi2CrP tetrahedra. In the eighteenth O2- site, O2- is bonded in a 4-coordinate geometry to three Li1+ and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a 4-coordinate geometry to three Li1+ and one P5+ atom. In the twentieth O2- site, O2- is bonded in a 4-coordinate geometry to three Li1+ and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Cr2+, and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Cr2+, and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a 1-coordinate geometry to four Li1+ and one C4+ atom. In the twenty-fourth O2- site, O2- is bonded to three Li1+ and one C4+ atom to form a mixture of distorted edge and corner-sharing OLi3C trigonal pyramids. In the twenty-fifth O2- site, O2- is bonded in a 1-coordinate geometry to two Li1+, one Cr2+, and one C4+ atom. In the twenty-sixth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two Li1+ and one C4+ atom. In the twenty-seventh O2- site, O2- is bonded to three Li1+ and one C4+ atom to form edge-sharing OLi3C tetrahedra. In the twenty-eighth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Li1+, one Cr2+, and one C4+ atom.

36 MATERIALS SCIENCE↗

Materials Data on LiHfMg30O31 by Materials Project

LiMg30HfO31 crystallizes in the tetragonal P4mm space group. The structure is three-dimensional. Li is bonded to five O atoms to form LiO5 square pyramids that share corners with four equivalent MgO6 octahedra, corners with five MgO5 square pyramids, and edges with eight MgO6 octahedra. The corner-sharing octahedral tilt angles are 1°. There are one shorter (2.14 Å) and four longer (2.21 Å) Li–O bond lengths. There are ten inequivalent Mg sites. In the first Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with two equivalent MgO6 octahedra, corners with two equivalent HfO6 octahedra, corners with two equivalent LiO5 square pyramids, edges with ten MgO6 octahedra, and edges with two equivalent MgO5 square pyramids. The corner-sharing octahedral tilt angles are 0°. There are a spread of Mg–O bond distances ranging from 2.07–2.16 Å. In the second Mg site, Mg is bonded to five O atoms to form MgO5 square pyramids that share corners with four equivalent MgO6 octahedra, a cornercorner with one LiO5 square pyramid, corners with four equivalent MgO5 square pyramids, and edges with eight MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are one shorter (2.09 Å) and four longer (2.17 Å) Mg–O bond lengths. In the third Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with four MgO6 octahedra, corners with two equivalent MgO5 square pyramids, edges with ten MgO6 octahedra, and edges with two equivalent MgO5 square pyramids. The corner-sharing octahedral tilt angles are 0°. There are a spread of Mg–O bond distances ranging from 2.12–2.15 Å. In the fourth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with two equivalent HfO6 octahedra, corners with four equivalent MgO6 octahedra, and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are two shorter (2.12 Å) and four longer (2.14 Å) Mg–O bond lengths. In the fifth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, an edgeedge with one HfO6 octahedra, edges with eight MgO6 octahedra, an edgeedge with one LiO5 square pyramid, and edges with two equivalent MgO5 square pyramids. The corner-sharing octahedra tilt angles range from 4–8°. There are a spread of Mg–O bond distances ranging from 2.07–2.23 Å. In the sixth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, edges with nine MgO6 octahedra, and edges with three MgO5 square pyramids. The corner-sharing octahedra tilt angles range from 1–5°. There are a spread of Mg–O bond distances ranging from 2.13–2.16 Å. In the seventh Mg site, Mg is bonded to five O atoms to form MgO5 square pyramids that share corners with four MgO6 octahedra, a cornercorner with one LiO5 square pyramid, corners with four MgO5 square pyramids, and edges with eight MgO6 octahedra. The corner-sharing octahedra tilt angles range from 3–5°. There are one shorter (2.13 Å) and four longer (2.16 Å) Mg–O bond lengths. In the eighth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with four MgO6 octahedra, corners with two equivalent MgO5 square pyramids, an edgeedge with one HfO6 octahedra, edges with nine MgO6 octahedra, and edges with two equivalent MgO5 square pyramids. The corner-sharing octahedra tilt angles range from 1–3°. There are a spread of Mg–O bond distances ranging from 2.10–2.19 Å. In the ninth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with four MgO6 octahedra, corners with two equivalent MgO5 square pyramids, edges with ten MgO6 octahedra, an edgeedge with one LiO5 square pyramid, and an edgeedge with one MgO5 square pyramid. The corner-sharing octahedra tilt angles range from 1–4°. There are a spread of Mg–O bond distances ranging from 2.11–2.17 Å. In the tenth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, an edgeedge with one HfO6 octahedra, and edges with eleven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 1–3°. There are a spread of Mg–O bond distances ranging from 2.09–2.19 Å. Hf is bonded to six O atoms to form HfO6 octahedra that share corners with six MgO6 octahedra and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are a spread of Hf–O bond distances ranging from 2.13–2.17 Å. There are eleven inequivalent O sites. In the first O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with four OHfMg5 octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. In the second O site, O is bonded to five Mg and one Hf atom to form OHfMg5 octahedra that share corners with six OMg6 octahedra and edges with twelve OHfMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. In the third O site, O is bonded to one Li and five Mg atoms to form a mixture of corner and edge-sharing OLiMg5 octahedra. The corner-sharing octahedral tilt angles are 2°. In the fourth O site, O is bonded to six Mg atoms to form a mixture of corner and edge-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. In the fifth O site, O is bonded to five Mg and one Hf atom to form a mixture of corner and edge-sharing OHfMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. In the sixth O site, O is bonded to six Mg atoms to form a mixture of corner and edge-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 2–7°. In the seventh O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OMg6 octahedra and edges with twelve OLiMg5 octahedra. The corner-sharing octahedra tilt angles range from 2–7°. In the eighth O site, O is bonded to one Li and five Mg atoms to form OLiMg5 octahedra that share corners with six OHfMg5 octahedra and edges with eleven OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the ninth O site, O is bonded to five Mg and one Hf atom to form OHfMg5 octahedra that share corners with six OHfMg5 octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the tenth O site, O is bonded to six Mg atoms to form a mixture of corner and edge-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the eleventh O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OHfMg5 octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–3°.

36 MATERIALS SCIENCE↗

Materials Data on RbLiMg30O31 by Materials Project

RbLiMg30O31 crystallizes in the tetragonal P4mm space group. The structure is three-dimensional. Rb1+ is bonded to six O2- atoms to form RbO6 octahedra that share corners with six MgO6 octahedra and edges with twelve MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. There are a spread of Rb–O bond distances ranging from 2.39–2.42 Å. Li1+ is bonded to five O2- atoms to form LiO5 square pyramids that share corners with four equivalent MgO6 octahedra, corners with five MgO5 square pyramids, and edges with eight MgO6 octahedra. The corner-sharing octahedral tilt angles are 9°. There are one shorter (1.96 Å) and four longer (2.15 Å) Li–O bond lengths. There are ten inequivalent Mg2+ sites. In the first Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with two equivalent RbO6 octahedra, corners with two equivalent MgO6 octahedra, corners with two equivalent LiO5 square pyramids, edges with ten MgO6 octahedra, and edges with two equivalent MgO5 square pyramids. The corner-sharing octahedra tilt angles range from 0–3°. There are a spread of Mg–O bond distances ranging from 1.91–2.27 Å. In the second Mg2+ site, Mg2+ is bonded to five O2- atoms to form MgO5 square pyramids that share corners with four equivalent MgO6 octahedra, a cornercorner with one LiO5 square pyramid, corners with four equivalent MgO5 square pyramids, and edges with eight MgO6 octahedra. The corner-sharing octahedral tilt angles are 9°. There are one shorter (1.96 Å) and four longer (2.10 Å) Mg–O bond lengths. In the third Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with four MgO6 octahedra, corners with two equivalent MgO5 square pyramids, edges with ten MgO6 octahedra, and edges with two equivalent MgO5 square pyramids. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of Mg–O bond distances ranging from 2.07–2.23 Å. In the fourth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with two equivalent RbO6 octahedra, corners with four equivalent MgO6 octahedra, and edges with twelve MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of Mg–O bond distances ranging from 1.90–2.22 Å. In the fifth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, an edgeedge with one RbO6 octahedra, edges with eight MgO6 octahedra, an edgeedge with one LiO5 square pyramid, and edges with two equivalent MgO5 square pyramids. The corner-sharing octahedra tilt angles range from 1–10°. There are a spread of Mg–O bond distances ranging from 2.11–2.23 Å. In the sixth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, edges with nine MgO6 octahedra, and edges with three MgO5 square pyramids. The corner-sharing octahedra tilt angles range from 1–5°. There are a spread of Mg–O bond distances ranging from 2.15–2.17 Å. In the seventh Mg2+ site, Mg2+ is bonded to five O2- atoms to form MgO5 square pyramids that share corners with four MgO6 octahedra, a cornercorner with one LiO5 square pyramid, corners with four MgO5 square pyramids, and edges with eight MgO6 octahedra. The corner-sharing octahedra tilt angles range from 6–8°. There are a spread of Mg–O bond distances ranging from 1.98–2.14 Å. In the eighth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with four MgO6 octahedra, corners with two equivalent MgO5 square pyramids, an edgeedge with one RbO6 octahedra, edges with nine MgO6 octahedra, and edges with two equivalent MgO5 square pyramids. The corner-sharing octahedra tilt angles range from 3–13°. There are a spread of Mg–O bond distances ranging from 2.13–2.20 Å. In the ninth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with four MgO6 octahedra, corners with two equivalent MgO5 square pyramids, edges with ten MgO6 octahedra, an edgeedge with one LiO5 square pyramid, and an edgeedge with one MgO5 square pyramid. The corner-sharing octahedra tilt angles range from 1–6°. There are a spread of Mg–O bond distances ranging from 2.14–2.28 Å. In the tenth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, an edgeedge with one RbO6 octahedra, and edges with eleven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 1–13°. There are a spread of Mg–O bond distances ranging from 2.14–2.21 Å. There are eleven inequivalent O2- sites. In the first O2- site, O2- is bonded to six Mg2+ atoms to form OMg6 octahedra that share corners with four ORbMg5 octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–8°. In the second O2- site, O2- is bonded to one Rb1+ and five Mg2+ atoms to form ORbMg5 octahedra that share corners with six OMg6 octahedra and edges with twelve ORbMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–8°. In the third O2- site, O2- is bonded to one Li1+ and five Mg2+ atoms to form a mixture of edge and corner-sharing OLiMg5 octahedra. The corner-sharing octahedral tilt angles are 5°. In the fourth O2- site, O2- is bonded to six Mg2+ atoms to form a mixture of edge and corner-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the fifth O2- site, O2- is bonded to one Rb1+ and five Mg2+ atoms to form a mixture of edge and corner-sharing ORbMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the sixth O2- site, O2- is bonded to six Mg2+ atoms to form a mixture of edge and corner-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 1–13°. In the seventh O2- site, O2- is bonded to six Mg2+ atoms to form OMg6 octahedra that share corners with six OMg6 octahedra and edges with twelve OLiMg5 octahedra. The corner-sharing octahedra tilt angles range from 1–3°. In the eighth O2- site, O2- is bonded to one Li1+ and five Mg2+ atoms to form OLiMg5 octahedra that share corners with six ORbMg5 octahedra and edges with eleven OMg6 octahedra. The corner-sharing octahedra tilt angles range from 2–13°. In the ninth O2- site, O2- is bonded to one Rb1+ and five Mg2+ atoms to form ORbMg5 octahedra that share corners with six ORbMg5 octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 2–8°. In the tenth O2- site, O2- is bonded to six Mg2+ atoms to form a mixture of edge and corner-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 2–14°. In the eleventh O2- site, O2- is bonded to six Mg2+ atoms to form OMg6 octahedra that share corners with six ORbMg5 octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 1–8°.

36 MATERIALS SCIENCE↗

Materials Data on Ba3SrCoCu3O10 by Materials Project

Ba3SrCoCu3O10 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twenty-four inequivalent Ba2+ sites. In the first Ba2+ site, Ba2+ is bonded in a 8-coordinate geometry to one Co4+, one Cu+2.67+, and seven O2- atoms. The Ba–Co bond length is 2.47 Å. The Ba–Cu bond length is 2.53 Å. There are a spread of Ba–O bond distances ranging from 2.42–3.10 Å. In the second Ba2+ site, Ba2+ is bonded in a 8-coordinate geometry to one Co4+, one Cu+2.67+, and six O2- atoms. The Ba–Co bond length is 2.44 Å. The Ba–Cu bond length is 2.47 Å. There are a spread of Ba–O bond distances ranging from 2.26–3.17 Å. In the third Ba2+ site, Ba2+ is bonded in a 9-coordinate geometry to one Co4+, one Cu+2.67+, and seven O2- atoms. The Ba–Co bond length is 2.42 Å. The Ba–Cu bond length is 2.50 Å. There are a spread of Ba–O bond distances ranging from 2.40–3.07 Å. In the fourth Ba2+ site, Ba2+ is bonded in a 8-coordinate geometry to one Co4+, one Cu+2.67+, and seven O2- atoms. The Ba–Co bond length is 2.49 Å. The Ba–Cu bond length is 2.48 Å. There are a spread of Ba–O bond distances ranging from 2.42–3.06 Å. In the fifth Ba2+ site, Ba2+ is bonded in a 9-coordinate geometry to one Co4+, one Cu+2.67+, and seven O2- atoms. The Ba–Co bond length is 2.48 Å. The Ba–Cu bond length is 2.49 Å. There are a spread of Ba–O bond distances ranging from 2.43–3.07 Å. In the sixth Ba2+ site, Ba2+ is bonded in a 7-coordinate geometry to two Cu+2.67+ and five O2- atoms. There are one shorter (2.40 Å) and one longer (2.55 Å) Ba–Cu bond lengths. There are a spread of Ba–O bond distances ranging from 2.27–2.76 Å. In the seventh Ba2+ site, Ba2+ is bonded in a 9-coordinate geometry to two Cu+2.67+ and seven O2- atoms. There are one shorter (2.44 Å) and one longer (2.52 Å) Ba–Cu bond lengths. There are a spread of Ba–O bond distances ranging from 2.36–3.21 Å. In the eighth Ba2+ site, Ba2+ is bonded in a 9-coordinate geometry to two Cu+2.67+ and seven O2- atoms. There are one shorter (2.43 Å) and one longer (2.54 Å) Ba–Cu bond lengths. There are a spread of Ba–O bond distances ranging from 2.31–3.17 Å. In the ninth Ba2+ site, Ba2+ is bonded in a 9-coordinate geometry to one Co4+, one Cu+2.67+, and seven O2- atoms. The Ba–Co bond length is 2.41 Å. The Ba–Cu bond length is 2.46 Å. There are a spread of Ba–O bond distances ranging from 2.35–3.06 Å. In the tenth Ba2+ site, Ba2+ is bonded in a 9-coordinate geometry to two Cu+2.67+ and seven O2- atoms. There are one shorter (2.45 Å) and one longer (2.55 Å) Ba–Cu bond lengths. There are a spread of Ba–O bond distances ranging from 2.33–3.14 Å. In the eleventh Ba2+ site, Ba2+ is bonded in a 9-coordinate geometry to one Co4+, one Cu+2.67+, and seven O2- atoms. The Ba–Co bond length is 2.45 Å. The Ba–Cu bond length is 2.51 Å. There are a spread of Ba–O bond distances ranging from 2.38–3.06 Å. In the twelfth Ba2+ site, Ba2+ is bonded in a 9-coordinate geometry to one Co4+, one Cu+2.67+, and seven O2- atoms. The Ba–Co bond length is 2.46 Å. The Ba–Cu bond length is 2.52 Å. There are a spread of Ba–O bond distances ranging from 2.31–3.12 Å. In the thirteenth Ba2+ site, Ba2+ is bonded in a 9-coordinate geometry to one Co4+, one Cu+2.67+, and seven O2- atoms. The Ba–Co bond length is 2.43 Å. The Ba–Cu bond length is 2.53 Å. There are a spread of Ba–O bond distances ranging from 2.42–3.04 Å. In the fourteenth Ba2+ site, Ba2+ is bonded in a 9-coordinate geometry to two Cu+2.67+ and seven O2- atoms. There are one shorter (2.45 Å) and one longer (2.51 Å) Ba–Cu bond lengths. There are a spread of Ba–O bond distances ranging from 2.46–3.14 Å. In the fifteenth Ba2+ site, Ba2+ is bonded in a 9-coordinate geometry to one Co4+, one Cu+2.67+, and seven O2- atoms. The Ba–Co bond length is 2.49 Å. The Ba–Cu bond length is 2.53 Å. There are a spread of Ba–O bond distances ranging from 2.44–3.12 Å. In the sixteenth Ba2+ site, Ba2+ is bonded in a 9-coordinate geometry to one Co4+, one Cu+2.67+, and seven O2- atoms. The Ba–Co bond length is 2.46 Å. The Ba–Cu bond length is 2.51 Å. There are a spread of Ba–O bond distances ranging from 2.43–3.08 Å. In the seventeenth Ba2+ site, Ba2+ is bonded in a 7-coordinate geometry to one Co4+, one Cu+2.67+, and seven O2- atoms. The Ba–Co bond length is 2.45 Å. The Ba–Cu bond length is 2.52 Å. There are a spread of Ba–O bond distances ranging from 2.39–3.21 Å. In the eighteenth Ba2+ site, Ba2+ is bonded in a 7-coordinate geometry to two Cu+2.67+ and seven O2- atoms. There are one shorter (2.40 Å) and one longer (2.59 Å) Ba–Cu bond lengths. There are a spread of Ba–O bond distances ranging from 2.26–3.23 Å. In the nineteenth Ba2+ site, Ba2+ is bonded in a 9-coordinate geometry to two Cu+2.67+ and seven O2- atoms. There are one shorter (2.45 Å) and one longer (2.56 Å) Ba–Cu bond lengths. There are a spread of Ba–O bond distances ranging from 2.31–3.16 Å. In the twentieth Ba2+ site, Ba2+ is bonded in a 9-coordinate geometry to two Cu+2.67+ and seven O2- atoms. There are one shorter (2.47 Å) and one longer (2.55 Å) Ba–Cu bond lengths. There are a spread of Ba–O bond distances ranging from 2.30–3.25 Å. In the twenty-first Ba2+ site, Ba2+ is bonded in a 9-coordinate geometry to one Co4+, one Cu+2.67+, and seven O2- atoms. The Ba–Co bond length is 2.40 Å. The Ba–Cu bond length is 2.52 Å. There are a spread of Ba–O bond distances ranging from 2.36–3.17 Å. In the twenty-second Ba2+ site, Ba2+ is bonded in a 9-coordinate geometry to one Co4+, one Cu+2.67+, and seven O2- atoms. The Ba–Co bond length is 2.45 Å. The Ba–Cu bond length is 2.53 Å. There are a spread of Ba–O bond distances ranging from 2.38–3.08 Å. In the twenty-third Ba2+ site, Ba2+ is bonded in a 8-coordinate geometry to two Cu+2.67+ and seven O2- atoms. There are one shorter (2.45 Å) and one longer (2.55 Å) Ba–Cu bond lengths. There are a spread of Ba–O bond distances ranging from 2.34–3.22 Å. In the twenty-fourth Ba2+ site, Ba2+ is bonded in a 9-coordinate geometry to one Co4+, one Cu+2.67+, and seven O2- atoms. The Ba–Co bond length is 2.47 Å. The Ba–Cu bond length is 2.52 Å. There are a spread of Ba–O bond distances ranging from 2.39–3.12 Å. There are eight inequivalent Sr2+ sites. In the first Sr2+ site, Sr2+ is bonded in a 3-coordinate geometry to two Cu+2.67+ and seven O2- atoms. There are one shorter (2.34 Å) and one longer (2.66 Å) Sr–Cu bond lengths. There are a spread of Sr–O bond distances ranging from 2.16–3.10 Å. In the second Sr2+ site, Sr2+ is bonded in a 1-coordinate geometry to two Cu+2.67+ and seven O2- atoms. There are one shorter (2.33 Å) and one longer (2.64 Å) Sr–Cu bond lengths. There are a spread of Sr–O bond distances ranging from 2.16–3.11 Å. In the third Sr2+ site, Sr2+ is bonded in a 5-coordinate geometry to one Co4+, one Cu+2.67+, and seven O2- atoms. The Sr–Co bond length is 2.40 Å. The Sr–Cu bond length is 2.52 Å. There are a spread of Sr–O bond distances ranging from 2.21–3.14 Å. In the fourth Sr2+ site, Sr2+ is bonded in a 7-coordinate geometry to two Cu+2.67+ and five O2- atoms. There are one shorter (2.36 Å) and one longer (2.58 Å) Sr–Cu bond lengths. There are a spread of Sr–O bond distances ranging from 2.19–2.72 Å. In the fifth Sr2+ site, Sr2+ is bonded in a 7-coordinate geometry to two Cu+2.67+ and five O2- atoms. There are one shorter (2.33 Å) and one longer (2.62 Å) Sr–Cu bond lengths. There are a spread of Sr–O bond distances ranging from 2.18–2.80 Å. In the sixth Sr2+ site, Sr2+ is bonded in a 1-coordinate geometry to two Cu+2.67+ and six O2- atoms. There are one shorter (2.40 Å) and one longer (2.63 Å) Sr–Cu bond lengths. There are a spread of Sr–O bond distances ranging from 2.12–2.98 Å. In the seventh Sr2+ site, Sr2+ is bonded in a 5-coordinate geometry to two Cu+2.67+ and seven O2- atoms. There are one shorter (2.37 Å) and one longer (2.54 Å) Sr–Cu bond lengths. There are a spread of Sr–O bond distances ranging from 2.26–3.12 Å. In the eighth Sr2+ site, Sr2+ is bonded in a 5-coordinate geometry to one Cu+2.67+ and five O2- atoms. The Sr–Cu bond length is 2.59 Å. There are a spread of Sr–O bond distances ranging from 2.22–2.63 Å. There are eight inequivalent Co4+ sites. In the first Co4+ site, Co4+ is bonded in a 4-coordinate geometry to two Ba2+ and four O2- atoms. There are a spread of Co–O bond distances ranging from 1.85–2.30 Å. In the second Co4+ site, Co4+ is bonded in a 4-coordinate geometry to one Ba2+, one Sr2+, and four O2- atoms. There are a spread of Co–O bond distances ranging from 1.84–2.24 Å. In the third Co4+ site, Co4+ is bonded in a 4-coordinate geometry to two Ba2+ and five O2- atoms. There are a spread of Co–O bond distances ranging from 1.86–2.69 Å. In the fourth Co4+ site, Co4+ is bonded in a distorted rectangular see-saw-like geometry to two Ba2+ and four O2- atoms. There are a spread of Co–O bond distances ranging from 1.85–2.12 Å. In the fifth Co4+ site, Co4+ is bonded in a 3-coordinate geometry to two Ba2+ and four O2- atoms. There are a spread of Co–O bond distances ranging from 1.87–2.36 Å. In the sixth Co4+ site, Co4+ is bonded in a 4-coordinate geometry to two Ba2+ and five O2- atoms. There are a spread of Co–O bond distances ranging from 1.81–2.53 Å. In the seventh Co4+ site, Co4+ is bonded in a 4-coordinate geometry to two Ba2+ and five O2- atoms. There are a spread of Co–O bond distances ranging from 1.84–2.66 Å. In the eighth Co4+ site, Co4+ is bonded in a 4-coordinate geometry to two Ba2+ and four O2- atoms. There are a spread of Co–O bond distances ranging from 1.77–2.24 Å. There are twenty-four inequivalent Cu+2.67+ sites. In the first Cu+2.67+ site, Cu+2.67+ is bonded in a 4-coordinate geometry to one Ba2+, one Sr2+, and five O2- atoms. There are a spread of Cu–O bond distances ranging from 1.96–2.55 Å. In the second Cu+2.67+ site, Cu+2.67+ is bonded in a distorted rectangular see-saw-like geometry to two Ba2+ and four O2- atoms. There are a spread of Cu–O bond distances ranging from 1.96–2.07 Å. In the third Cu+2.67+ site, Cu+2.67+ is bonded in a distorted rectangular see-saw-like geometry to one Ba2+, one Sr2+, and five O2- atoms. There are a spread of Cu–O bond distances ranging from 1.98–2.55 Å. In the fourth Cu+2.67+ site, Cu+2.67+ is bonded in a 4-coordinate geometry to one Ba2+, one Sr2+, and four O2- atoms. There are a spread of Cu–O bond distances ranging from 1.96–2.20 Å. In the fifth Cu+2.67+ site, Cu+2.67+ is bonded in a distorted rectangular see-saw-like geometry to one Ba2+, one Sr2+, and four O2- atoms. There are a spread of Cu–O bond distances ranging from 1.94–2.10 Å. In the sixth Cu+2.67+ site, Cu+2.67+ is bonded in a 4-coordinate geometry to one Ba2+, one Sr2+, and four O2- atoms. There are a spread of Cu–O bond distances ranging from 1.92–2.21 Å. In the seventh Cu+2.67+ site, Cu+2.67+ is bonded in a 4-coordinate geometry to one Sr2+ and four O2- atoms. There are a spread of Cu–O bond distances ranging from 1.92–2.18 Å. In the eighth Cu+2.67+ site, Cu+2.67+ is bonded in a distorted rectangular see-saw-like geometry to two Ba2+ and four O2- atoms. There are a spread of Cu–O bond distances ranging from 1.97–2.12 Å. In the ninth Cu+2.67+ site, Cu+2.67+ is bonded in a 2-coordinate geometry to one Ba2+, one Sr2+, and four O2- atoms. There are a spread of Cu–O bond distances ranging from 1.79–2.26 Å. In the tenth Cu+2.67+ site, Cu+2.67+ is bonded in a 2-coordinate geometry to two Ba2+ and four O2- atoms. There are a spread of Cu–O bond distances ranging from 1.85–2.34 Å. In the eleventh Cu+2.67+ site, Cu+2.67+ is bonded in a 6-coordinate geometry to two Ba2+ and four O2- atoms. There are a spread of Cu–O bond distances ranging from 1.87–2.26 Å. In the twelfth Cu+2.67+ site, Cu+2.67+ is bonded in a 6-coordinate geometry to one Ba2+, one Sr2+, and four O2- atoms. There are a spread of Cu–O bond distances ranging from 1.88–2.28 Å. In the thirteenth Cu+2.67+ site, Cu+2.67+ is bonded in a 2-coordinate geometry to two Ba2+ and four O2- atoms. There are a spread of Cu–O bond distances rangi

36 MATERIALS SCIENCE↗

Materials Data on Na3Mo15Se19 by Materials Project

Na3Mo15Se19 crystallizes in the monoclinic P2_1/m space group. The structure is three-dimensional. there are two inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded in a 7-coordinate geometry to seven Se2- atoms. There are a spread of Na–Se bond distances ranging from 3.02–3.54 Å. In the second Na1+ site, Na1+ is bonded to six Se2- atoms to form distorted NaSe6 octahedra that share corners with eight MoSe5 square pyramids and edges with four MoSe5 square pyramids. There are a spread of Na–Se bond distances ranging from 2.74–3.08 Å. There are nine inequivalent Mo+2.33+ sites. In the first Mo+2.33+ site, Mo+2.33+ is bonded in a see-saw-like geometry to four Se2- atoms. There are one shorter (2.58 Å) and three longer (2.59 Å) Mo–Se bond lengths. In the second Mo+2.33+ site, Mo+2.33+ is bonded in a see-saw-like geometry to four Se2- atoms. There are one shorter (2.57 Å) and three longer (2.59 Å) Mo–Se bond lengths. In the third Mo+2.33+ site, Mo+2.33+ is bonded in a see-saw-like geometry to four Se2- atoms. There are a spread of Mo–Se bond distances ranging from 2.59–2.65 Å. In the fourth Mo+2.33+ site, Mo+2.33+ is bonded to five Se2- atoms to form MoSe5 square pyramids that share a cornercorner with one NaSe6 octahedra, corners with four MoSe5 square pyramids, and edges with three MoSe5 square pyramids. The corner-sharing octahedral tilt angles are 59°. There are a spread of Mo–Se bond distances ranging from 2.55–2.71 Å. In the fifth Mo+2.33+ site, Mo+2.33+ is bonded to five Se2- atoms to form MoSe5 square pyramids that share a cornercorner with one NaSe6 octahedra, corners with four MoSe5 square pyramids, and edges with three MoSe5 square pyramids. The corner-sharing octahedral tilt angles are 50°. There are a spread of Mo–Se bond distances ranging from 2.54–2.73 Å. In the sixth Mo+2.33+ site, Mo+2.33+ is bonded to five Se2- atoms to form MoSe5 square pyramids that share corners with four MoSe5 square pyramids, an edgeedge with one NaSe6 octahedra, and edges with three MoSe5 square pyramids. There are a spread of Mo–Se bond distances ranging from 2.54–2.75 Å. In the seventh Mo+2.33+ site, Mo+2.33+ is bonded to five Se2- atoms to form MoSe5 square pyramids that share a cornercorner with one NaSe6 octahedra, corners with three MoSe5 square pyramids, and edges with five MoSe5 square pyramids. The corner-sharing octahedral tilt angles are 53°. There are a spread of Mo–Se bond distances ranging from 2.53–2.71 Å. In the eighth Mo+2.33+ site, Mo+2.33+ is bonded to five Se2- atoms to form MoSe5 square pyramids that share a cornercorner with one NaSe6 octahedra, corners with three MoSe5 square pyramids, and edges with five MoSe5 square pyramids. The corner-sharing octahedral tilt angles are 35°. There are a spread of Mo–Se bond distances ranging from 2.51–2.70 Å. In the ninth Mo+2.33+ site, Mo+2.33+ is bonded to five Se2- atoms to form MoSe5 square pyramids that share corners with three MoSe5 square pyramids, an edgeedge with one NaSe6 octahedra, and edges with five MoSe5 square pyramids. There are a spread of Mo–Se bond distances ranging from 2.59–2.79 Å. There are eleven inequivalent Se2- sites. In the first Se2- site, Se2- is bonded in a 1-coordinate geometry to one Na1+ and four Mo+2.33+ atoms. In the second Se2- site, Se2- is bonded in a 4-coordinate geometry to four Mo+2.33+ atoms. In the third Se2- site, Se2- is bonded in a 5-coordinate geometry to one Na1+ and four Mo+2.33+ atoms. In the fourth Se2- site, Se2- is bonded in a 5-coordinate geometry to one Na1+ and four Mo+2.33+ atoms. In the fifth Se2- site, Se2- is bonded in a 5-coordinate geometry to one Na1+ and four Mo+2.33+ atoms. In the sixth Se2- site, Se2- is bonded in a 5-coordinate geometry to one Na1+ and four Mo+2.33+ atoms. In the seventh Se2- site, Se2- is bonded in a 4-coordinate geometry to one Na1+ and three Mo+2.33+ atoms. In the eighth Se2- site, Se2- is bonded in a 5-coordinate geometry to one Na1+ and four Mo+2.33+ atoms. In the ninth Se2- site, Se2- is bonded in a 5-coordinate geometry to one Na1+ and four Mo+2.33+ atoms. In the tenth Se2- site, Se2- is bonded in a 6-coordinate geometry to two Na1+ and four Mo+2.33+ atoms. In the eleventh Se2- site, Se2- is bonded in a 1-coordinate geometry to one Na1+ and three Mo+2.33+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Ca6Al3(Si4N9)2 by Materials Project

Ca6Al3(Si4N9)2 is Chalcostibite-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are six inequivalent Ca2+ sites. In the first Ca2+ site, Ca2+ is bonded in a 6-coordinate geometry to six N+2.94- atoms. There are a spread of Ca–N bond distances ranging from 2.30–2.98 Å. In the second Ca2+ site, Ca2+ is bonded in a 5-coordinate geometry to five N+2.94- atoms. There are a spread of Ca–N bond distances ranging from 2.35–2.62 Å. In the third Ca2+ site, Ca2+ is bonded in a 7-coordinate geometry to seven N+2.94- atoms. There are a spread of Ca–N bond distances ranging from 2.27–2.87 Å. In the fourth Ca2+ site, Ca2+ is bonded in a 5-coordinate geometry to five N+2.94- atoms. There are a spread of Ca–N bond distances ranging from 2.39–2.71 Å. In the fifth Ca2+ site, Ca2+ is bonded in a 5-coordinate geometry to five N+2.94- atoms. There are a spread of Ca–N bond distances ranging from 2.54–2.59 Å. In the sixth Ca2+ site, Ca2+ is bonded in a 7-coordinate geometry to six N+2.94- atoms. There are a spread of Ca–N bond distances ranging from 2.41–2.95 Å. There are three inequivalent Al3+ sites. In the first Al3+ site, Al3+ is bonded to four N+2.94- atoms to form AlN4 tetrahedra that share corners with two AlN4 tetrahedra and corners with five SiN4 tetrahedra. There are a spread of Al–N bond distances ranging from 1.85–1.92 Å. In the second Al3+ site, Al3+ is bonded to four N+2.94- atoms to form AlN4 tetrahedra that share a cornercorner with one AlN4 tetrahedra and corners with six SiN4 tetrahedra. There are a spread of Al–N bond distances ranging from 1.85–1.90 Å. In the third Al3+ site, Al3+ is bonded to four N+2.94- atoms to form AlN4 tetrahedra that share a cornercorner with one AlN4 tetrahedra and corners with six SiN4 tetrahedra. There are a spread of Al–N bond distances ranging from 1.86–1.91 Å. There are eight inequivalent Si4+ sites. In the first Si4+ site, Si4+ is bonded to four N+2.94- atoms to form SiN4 tetrahedra that share a cornercorner with one AlN4 tetrahedra and corners with five SiN4 tetrahedra. There are a spread of Si–N bond distances ranging from 1.70–1.83 Å. In the second Si4+ site, Si4+ is bonded to four N+2.94- atoms to form SiN4 tetrahedra that share a cornercorner with one AlN4 tetrahedra and corners with five SiN4 tetrahedra. There are a spread of Si–N bond distances ranging from 1.70–1.82 Å. In the third Si4+ site, Si4+ is bonded to four N+2.94- atoms to form SiN4 tetrahedra that share corners with two AlN4 tetrahedra and corners with four SiN4 tetrahedra. There are a spread of Si–N bond distances ranging from 1.69–1.84 Å. In the fourth Si4+ site, Si4+ is bonded to four N+2.94- atoms to form SiN4 tetrahedra that share corners with three AlN4 tetrahedra and corners with four SiN4 tetrahedra. There are a spread of Si–N bond distances ranging from 1.73–1.81 Å. In the fifth Si4+ site, Si4+ is bonded to four N+2.94- atoms to form SiN4 tetrahedra that share corners with two AlN4 tetrahedra and corners with four SiN4 tetrahedra. There are a spread of Si–N bond distances ranging from 1.71–1.80 Å. In the sixth Si4+ site, Si4+ is bonded to four N+2.94- atoms to form SiN4 tetrahedra that share corners with two AlN4 tetrahedra and corners with four SiN4 tetrahedra. There are a spread of Si–N bond distances ranging from 1.69–1.83 Å. In the seventh Si4+ site, Si4+ is bonded to four N+2.94- atoms to form SiN4 tetrahedra that share corners with three AlN4 tetrahedra and corners with three SiN4 tetrahedra. There are a spread of Si–N bond distances ranging from 1.71–1.80 Å. In the eighth Si4+ site, Si4+ is bonded to four N+2.94- atoms to form SiN4 tetrahedra that share corners with three AlN4 tetrahedra and corners with three SiN4 tetrahedra. There are a spread of Si–N bond distances ranging from 1.71–1.82 Å. There are eighteen inequivalent N+2.94- sites. In the first N+2.94- site, N+2.94- is bonded in a 2-coordinate geometry to three Ca2+, one Al3+, and one Si4+ atom. In the second N+2.94- site, N+2.94- is bonded in a 6-coordinate geometry to four Ca2+ and two Si4+ atoms. In the third N+2.94- site, N+2.94- is bonded in a 2-coordinate geometry to three Ca2+ and two Si4+ atoms. In the fourth N+2.94- site, N+2.94- is bonded in a 2-coordinate geometry to four Ca2+, one Al3+, and one Si4+ atom. In the fifth N+2.94- site, N+2.94- is bonded in a distorted see-saw-like geometry to three Ca2+ and one Si4+ atom. In the sixth N+2.94- site, N+2.94- is bonded to three Ca2+, one Al3+, and one Si4+ atom to form distorted NCa3AlSi trigonal bipyramids that share a cornercorner with one NCaAl2Si tetrahedra, corners with five NCaAl2Si trigonal pyramids, and edges with two NCaAlSi2 trigonal pyramids. In the seventh N+2.94- site, N+2.94- is bonded in a 4-coordinate geometry to two Ca2+ and two Si4+ atoms. In the eighth N+2.94- site, N+2.94- is bonded to one Ca2+, two Al3+, and one Si4+ atom to form distorted NCaAl2Si tetrahedra that share a cornercorner with one NCa3AlSi trigonal bipyramid and corners with six NCaAlSi2 trigonal pyramids. In the ninth N+2.94- site, N+2.94- is bonded to one Ca2+, one Al3+, and two Si4+ atoms to form NCaAlSi2 trigonal pyramids that share a cornercorner with one NCa3AlSi trigonal bipyramid and corners with five NCaAl2Si trigonal pyramids. In the tenth N+2.94- site, N+2.94- is bonded to one Ca2+, one Al3+, and two Si4+ atoms to form distorted NCaAlSi2 trigonal pyramids that share a cornercorner with one NCaAl2Si tetrahedra, a cornercorner with one NCa3AlSi trigonal bipyramid, and corners with four NCaAl2Si trigonal pyramids. In the eleventh N+2.94- site, N+2.94- is bonded in a distorted trigonal non-coplanar geometry to one Ca2+ and two Si4+ atoms. In the twelfth N+2.94- site, N+2.94- is bonded to one Ca2+, one Al3+, and two Si4+ atoms to form NCaAlSi2 trigonal pyramids that share a cornercorner with one NCaAl2Si tetrahedra, a cornercorner with one NCa3AlSi trigonal bipyramid, and corners with five NCaAlSi2 trigonal pyramids. In the thirteenth N+2.94- site, N+2.94- is bonded to one Ca2+, one Al3+, and two Si4+ atoms to form distorted NCaAlSi2 trigonal pyramids that share a cornercorner with one NCaAl2Si tetrahedra, corners with four NCaAlSi2 trigonal pyramids, and an edgeedge with one NCa3AlSi trigonal bipyramid. In the fourteenth N+2.94- site, N+2.94- is bonded to one Ca2+ and three Si4+ atoms to form distorted NCaSi3 trigonal pyramids that share a cornercorner with one NCa3AlSi trigonal bipyramid and corners with four NCaAlSi2 trigonal pyramids. In the fifteenth N+2.94- site, N+2.94- is bonded to one Ca2+ and three Si4+ atoms to form distorted NCaSi3 trigonal pyramids that share a cornercorner with one NCaAl2Si tetrahedra and corners with four NCaAlSi2 trigonal pyramids. In the sixteenth N+2.94- site, N+2.94- is bonded to one Ca2+, one Al3+, and two Si4+ atoms to form distorted NCaAlSi2 trigonal pyramids that share a cornercorner with one NCaAl2Si tetrahedra, corners with four NCaAlSi2 trigonal pyramids, and an edgeedge with one NCa3AlSi trigonal bipyramid. In the seventeenth N+2.94- site, N+2.94- is bonded to one Ca2+, two Al3+, and one Si4+ atom to form distorted NCaAl2Si trigonal pyramids that share a cornercorner with one NCaAl2Si tetrahedra, a cornercorner with one NCa3AlSi trigonal bipyramid, and corners with six NCaAlSi2 trigonal pyramids. In the eighteenth N+2.94- site, N+2.94- is bonded in a 3-coordinate geometry to two Ca2+ and two Si4+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Mg5Si6 by Materials Project

Mg5Si6 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are ten inequivalent Mg sites. In the first Mg site, Mg is bonded in a 4-coordinate geometry to five Mg and six Si atoms. There are a spread of Mg–Mg bond distances ranging from 2.96–3.21 Å. There are a spread of Mg–Si bond distances ranging from 2.68–3.11 Å. In the second Mg site, Mg is bonded in a 12-coordinate geometry to eight Si atoms. There are a spread of Mg–Si bond distances ranging from 2.82–3.06 Å. In the third Mg site, Mg is bonded in a 12-coordinate geometry to one Mg and eight Si atoms. The Mg–Mg bond length is 3.08 Å. There are a spread of Mg–Si bond distances ranging from 2.82–3.00 Å. In the fourth Mg site, Mg is bonded in a 5-coordinate geometry to five Si atoms. There are a spread of Mg–Si bond distances ranging from 2.70–3.09 Å. In the fifth Mg site, Mg is bonded in a 11-coordinate geometry to five Mg and six Si atoms. There are a spread of Mg–Mg bond distances ranging from 3.02–3.13 Å. There are a spread of Mg–Si bond distances ranging from 2.85–3.12 Å. In the sixth Mg site, Mg is bonded in a 4-coordinate geometry to two equivalent Mg and five Si atoms. There are one shorter (3.09 Å) and one longer (3.10 Å) Mg–Mg bond lengths. There are a spread of Mg–Si bond distances ranging from 2.68–3.11 Å. In the seventh Mg site, Mg is bonded in a 12-coordinate geometry to eight Si atoms. There are a spread of Mg–Si bond distances ranging from 2.70–3.01 Å. In the eighth Mg site, Mg is bonded in a 3-coordinate geometry to three Mg and five Si atoms. There are a spread of Mg–Si bond distances ranging from 2.92–3.23 Å. In the ninth Mg site, Mg is bonded in a 6-coordinate geometry to three Mg and six Si atoms. The Mg–Mg bond length is 3.25 Å. There are a spread of Mg–Si bond distances ranging from 2.77–2.88 Å. In the tenth Mg site, Mg is bonded in a 7-coordinate geometry to five Mg and nine Si atoms. There are a spread of Mg–Si bond distances ranging from 2.77–3.22 Å. There are twelve inequivalent Si sites. In the first Si site, Si is bonded in a 9-coordinate geometry to six Mg and three Si atoms. There are one shorter (2.58 Å) and two longer (2.73 Å) Si–Si bond lengths. In the second Si site, Si is bonded in a 9-coordinate geometry to six Mg and three Si atoms. There are one shorter (2.67 Å) and one longer (2.69 Å) Si–Si bond lengths. In the third Si site, Si is bonded in a 9-coordinate geometry to six Mg and three Si atoms. There are a spread of Si–Si bond distances ranging from 2.46–2.79 Å. In the fourth Si site, Si is bonded in a 10-coordinate geometry to seven Mg and three Si atoms. There are a spread of Si–Si bond distances ranging from 2.48–2.66 Å. In the fifth Si site, Si is bonded in a 10-coordinate geometry to eight Mg and two Si atoms. There are one shorter (2.48 Å) and one longer (2.55 Å) Si–Si bond lengths. In the sixth Si site, Si is bonded in a 1-coordinate geometry to four Mg and five Si atoms. There are one shorter (2.49 Å) and one longer (2.74 Å) Si–Si bond lengths. In the seventh Si site, Si is bonded in a 1-coordinate geometry to five Mg and three Si atoms. There are one shorter (2.42 Å) and one longer (2.66 Å) Si–Si bond lengths. In the eighth Si site, Si is bonded in a 10-coordinate geometry to six Mg and four Si atoms. There are one shorter (2.58 Å) and one longer (2.94 Å) Si–Si bond lengths. In the ninth Si site, Si is bonded in a 10-coordinate geometry to seven Mg and three Si atoms. The Si–Si bond length is 2.89 Å. In the tenth Si site, Si is bonded in a 9-coordinate geometry to five Mg and four Si atoms. In the eleventh Si site, Si is bonded in a 1-coordinate geometry to two Mg and three Si atoms. In the twelfth Si site, Si is bonded in a 6-coordinate geometry to four Mg and four Si atoms.

36 MATERIALS SCIENCE↗

Materials Data on NaMg30BO31 by Materials Project

NaMg30BO31 crystallizes in the orthorhombic Pmm2 space group. The structure is three-dimensional. Na is bonded in a distorted T-shaped geometry to three O atoms. There are two shorter (2.24 Å) and one longer (2.26 Å) Na–O bond lengths. There are sixteen inequivalent Mg sites. In the first Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with four MgO6 octahedra, edges with ten MgO6 octahedra, and edges with two equivalent MgO5 square pyramids. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of Mg–O bond distances ranging from 2.09–2.16 Å. In the second Mg site, Mg is bonded to six O atoms to form a mixture of edge and corner-sharing MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of Mg–O bond distances ranging from 2.00–2.19 Å. In the third Mg site, Mg is bonded to five O atoms to form MgO5 square pyramids that share corners with four MgO6 octahedra, corners with four MgO5 square pyramids, and edges with eight MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Mg–O bond distances ranging from 2.11–2.17 Å. In the fourth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with two equivalent MgO6 octahedra, corners with two equivalent MgO5 square pyramids, edges with ten MgO6 octahedra, and edges with two equivalent MgO5 square pyramids. The corner-sharing octahedral tilt angles are 2°. There are a spread of Mg–O bond distances ranging from 1.97–2.22 Å. In the fifth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with four MgO6 octahedra, corners with two equivalent MgO5 square pyramids, edges with ten MgO6 octahedra, and edges with two equivalent MgO5 square pyramids. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of Mg–O bond distances ranging from 2.11–2.16 Å. In the sixth Mg site, Mg is bonded to six O atoms to form a mixture of edge and corner-sharing MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Mg–O bond distances ranging from 2.09–2.17 Å. In the seventh Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, edges with eight MgO6 octahedra, and edges with two MgO5 square pyramids. The corner-sharing octahedra tilt angles range from 1–34°. There are a spread of Mg–O bond distances ranging from 2.06–2.33 Å. In the eighth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, edges with nine MgO6 octahedra, and edges with three MgO5 square pyramids. The corner-sharing octahedra tilt angles range from 0–3°. There are a spread of Mg–O bond distances ranging from 2.11–2.17 Å. In the ninth Mg site, Mg is bonded to five O atoms to form distorted MgO5 square pyramids that share corners with four MgO6 octahedra, corners with four MgO5 square pyramids, and edges with seven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 1–36°. There are a spread of Mg–O bond distances ranging from 1.99–2.32 Å. In the tenth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with four MgO6 octahedra, corners with two equivalent MgO5 square pyramids, edges with ten MgO6 octahedra, and edges with two equivalent MgO5 square pyramids. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Mg–O bond distances ranging from 2.10–2.18 Å. In the eleventh Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with four MgO6 octahedra, corners with two equivalent MgO5 square pyramids, edges with nine MgO6 octahedra, and an edgeedge with one MgO5 square pyramid. The corner-sharing octahedra tilt angles range from 1–8°. There are a spread of Mg–O bond distances ranging from 2.06–2.23 Å. In the twelfth Mg site, Mg is bonded to six O atoms to form a mixture of edge and corner-sharing MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Mg–O bond distances ranging from 2.09–2.19 Å. In the thirteenth Mg site, Mg is bonded to five O atoms to form MgO5 square pyramids that share corners with four MgO6 octahedra, corners with four MgO5 square pyramids, and edges with eight MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. There are a spread of Mg–O bond distances ranging from 2.12–2.16 Å. In the fourteenth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with four MgO6 octahedra, corners with two equivalent MgO5 square pyramids, edges with nine MgO6 octahedra, and edges with two equivalent MgO5 square pyramids. The corner-sharing octahedra tilt angles range from 2–14°. There are a spread of Mg–O bond distances ranging from 2.09–2.23 Å. In the fifteenth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with four MgO6 octahedra, corners with two equivalent MgO5 square pyramids, edges with ten MgO6 octahedra, and an edgeedge with one MgO5 square pyramid. The corner-sharing octahedra tilt angles range from 2–4°. There are a spread of Mg–O bond distances ranging from 2.11–2.17 Å. In the sixteenth Mg site, Mg is bonded to six O atoms to form a mixture of edge and corner-sharing MgO6 octahedra. The corner-sharing octahedra tilt angles range from 2–7°. There are a spread of Mg–O bond distances ranging from 2.07–2.27 Å. B is bonded in a distorted trigonal planar geometry to three O atoms. There is two shorter (1.45 Å) and one longer (1.47 Å) B–O bond length. There are seventeen inequivalent O sites. In the first O site, O is bonded to five Mg atoms to form OMg5 square pyramids that share corners with three OMg6 octahedra, corners with two equivalent OMg5 square pyramids, and edges with eight OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–9°. In the second O site, O is bonded to six Mg atoms to form a mixture of edge and corner-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. In the third O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with four OMg6 octahedra, corners with two equivalent OMg5 square pyramids, edges with ten OMg6 octahedra, and edges with two equivalent OMg5 square pyramids. The corner-sharing octahedra tilt angles range from 0–1°. In the fourth O site, O is bonded to one Na and five Mg atoms to form ONaMg5 octahedra that share corners with four OMg5B octahedra and edges with ten OMg6 octahedra. The corner-sharing octahedra tilt angles range from 3–4°. In the fifth O site, O is bonded to five Mg and one B atom to form distorted OMg5B octahedra that share corners with four ONaMg5 octahedra, corners with three OMg5 square pyramids, and edges with eight OMg6 octahedra. The corner-sharing octahedra tilt angles range from 1–4°. In the sixth O site, O is bonded to six Mg atoms to form a mixture of edge and corner-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the seventh O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OMg6 octahedra, edges with ten OMg6 octahedra, and edges with two equivalent OMg5 square pyramids. The corner-sharing octahedra tilt angles range from 0–1°. In the eighth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OMg6 octahedra, edges with eight OMg6 octahedra, and edges with two OMg5 square pyramids. The corner-sharing octahedra tilt angles range from 1–7°. In the ninth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OMg6 octahedra, edges with ten ONaMg5 octahedra, and an edgeedge with one OMg5 square pyramid. The corner-sharing octahedra tilt angles range from 1–7°. In the tenth O site, O is bonded in a distorted single-bond geometry to four Mg and one B atom. In the eleventh O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with four OMg6 octahedra, edges with ten OMg6 octahedra, and edges with two equivalent OMg5 square pyramids. The corner-sharing octahedra tilt angles range from 0–1°. In the twelfth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with four OMg6 octahedra, edges with ten ONaMg5 octahedra, and an edgeedge with one OMg5 square pyramid. The corner-sharing octahedra tilt angles range from 0–3°. In the thirteenth O site, O is bonded to six Mg atoms to form a mixture of edge and corner-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. In the fourteenth O site, O is bonded to one Na and five Mg atoms to form ONaMg5 octahedra that share corners with four OMg6 octahedra, corners with two equivalent OMg5 square pyramids, and edges with nine OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the fifteenth O site, O is bonded to five Mg atoms to form OMg5 square pyramids that share corners with five OMg5B octahedra, corners with two OMg5 square pyramids, and edges with eight OMg6 octahedra. The corner-sharing octahedra tilt angles range from 1–91°. In the sixteenth O site, O is bonded to six Mg atoms to form a mixture of edge and corner-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the seventeenth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with four OMg6 octahedra, corners with two equivalent OMg5 square pyramids, edges with eleven OMg6 octahedra, and an edgeedge with one OMg5 square pyramid. The corner-sharing octahedra tilt angles range from 0–4°.

36 MATERIALS SCIENCE↗

Materials Data on Mg5Si6 by Materials Project

Mg5Si6 is Magnesium tetraboride-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are ten inequivalent Mg sites. In the first Mg site, Mg is bonded in a 5-coordinate geometry to six Si atoms. There are a spread of Mg–Si bond distances ranging from 2.84–3.13 Å. In the second Mg site, Mg is bonded in a 6-coordinate geometry to two equivalent Mg and six Si atoms. There are one shorter (3.11 Å) and one longer (3.18 Å) Mg–Mg bond lengths. There are a spread of Mg–Si bond distances ranging from 2.77–2.90 Å. In the third Mg site, Mg is bonded in a 4-coordinate geometry to one Mg and six Si atoms. The Mg–Mg bond length is 3.32 Å. There are a spread of Mg–Si bond distances ranging from 2.81–3.25 Å. In the fourth Mg site, Mg is bonded in a 7-coordinate geometry to six Mg and seven Si atoms. There are a spread of Mg–Mg bond distances ranging from 2.90–3.06 Å. There are a spread of Mg–Si bond distances ranging from 2.84–3.08 Å. In the fifth Mg site, Mg is bonded in a 5-coordinate geometry to five Si atoms. There are a spread of Mg–Si bond distances ranging from 2.88–2.99 Å. In the sixth Mg site, Mg is bonded in a 5-coordinate geometry to five Si atoms. There are a spread of Mg–Si bond distances ranging from 2.68–2.90 Å. In the seventh Mg site, Mg is bonded in a 7-coordinate geometry to one Mg and seven Si atoms. There are a spread of Mg–Si bond distances ranging from 2.67–2.96 Å. In the eighth Mg site, Mg is bonded in a 6-coordinate geometry to two equivalent Mg and six Si atoms. There are a spread of Mg–Si bond distances ranging from 2.79–3.00 Å. In the ninth Mg site, Mg is bonded in a 6-coordinate geometry to six Si atoms. There are a spread of Mg–Si bond distances ranging from 2.78–3.02 Å. In the tenth Mg site, Mg is bonded in a 12-coordinate geometry to six Si atoms. There are a spread of Mg–Si bond distances ranging from 2.72–3.08 Å. There are twelve inequivalent Si sites. In the first Si site, Si is bonded in a 9-coordinate geometry to six Mg and three Si atoms. There are a spread of Si–Si bond distances ranging from 2.44–2.55 Å. In the second Si site, Si is bonded in a 8-coordinate geometry to five Mg and three Si atoms. There are one shorter (2.47 Å) and one longer (2.69 Å) Si–Si bond lengths. In the third Si site, Si is bonded in a 3-coordinate geometry to seven Mg and three Si atoms. There are a spread of Si–Si bond distances ranging from 2.53–2.85 Å. In the fourth Si site, Si is bonded in a 8-coordinate geometry to five Mg and three Si atoms. There are one shorter (2.42 Å) and one longer (2.58 Å) Si–Si bond lengths. In the fifth Si site, Si is bonded in a 8-coordinate geometry to five Mg and three Si atoms. There are one shorter (2.47 Å) and one longer (2.49 Å) Si–Si bond lengths. In the sixth Si site, Si is bonded in a 8-coordinate geometry to five Mg and three Si atoms. There are one shorter (2.40 Å) and one longer (2.48 Å) Si–Si bond lengths. In the seventh Si site, Si is bonded in a 8-coordinate geometry to five Mg and three Si atoms. There are one shorter (2.47 Å) and one longer (2.48 Å) Si–Si bond lengths. In the eighth Si site, Si is bonded in a 7-coordinate geometry to four Mg and three Si atoms. The Si–Si bond length is 2.47 Å. In the ninth Si site, Si is bonded in a 9-coordinate geometry to four Mg and three Si atoms. The Si–Si bond length is 2.50 Å. In the tenth Si site, Si is bonded in a 8-coordinate geometry to five Mg and three Si atoms. In the eleventh Si site, Si is bonded in a 7-coordinate geometry to four Mg and three Si atoms. In the twelfth Si site, Si is bonded in a 8-coordinate geometry to five Mg and three Si atoms.

36 MATERIALS SCIENCE↗

Materials Data on Ba20Ga5Ru7O44 by Materials Project

Ba20Ru7Ga5O44 crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are twenty inequivalent Ba2+ sites. In the first Ba2+ site, Ba2+ is bonded in a 1-coordinate geometry to nine O2- atoms. There are a spread of Ba–O bond distances ranging from 2.53–3.31 Å. In the second Ba2+ site, Ba2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Ba–O bond distances ranging from 2.52–3.30 Å. In the third Ba2+ site, Ba2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Ba–O bond distances ranging from 2.52–3.21 Å. In the fourth Ba2+ site, Ba2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Ba–O bond distances ranging from 2.49–3.29 Å. In the fifth Ba2+ site, Ba2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Ba–O bond distances ranging from 2.61–3.23 Å. In the sixth Ba2+ site, Ba2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Ba–O bond distances ranging from 2.59–3.18 Å. In the seventh Ba2+ site, Ba2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Ba–O bond distances ranging from 2.56–3.20 Å. In the eighth Ba2+ site, Ba2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Ba–O bond distances ranging from 2.56–3.20 Å. In the ninth Ba2+ site, Ba2+ is bonded in a 11-coordinate geometry to eleven O2- atoms. There are a spread of Ba–O bond distances ranging from 2.75–3.10 Å. In the tenth Ba2+ site, Ba2+ is bonded in a 11-coordinate geometry to eleven O2- atoms. There are a spread of Ba–O bond distances ranging from 2.72–3.08 Å. In the eleventh Ba2+ site, Ba2+ is bonded in a 11-coordinate geometry to eleven O2- atoms. There are a spread of Ba–O bond distances ranging from 2.75–3.10 Å. In the twelfth Ba2+ site, Ba2+ is bonded in a 11-coordinate geometry to eleven O2- atoms. There are a spread of Ba–O bond distances ranging from 2.87–3.18 Å. In the thirteenth Ba2+ site, Ba2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Ba–O bond distances ranging from 2.61–2.96 Å. In the fourteenth Ba2+ site, Ba2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Ba–O bond distances ranging from 2.77–2.96 Å. In the fifteenth Ba2+ site, Ba2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Ba–O bond distances ranging from 2.78–2.96 Å. In the sixteenth Ba2+ site, Ba2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Ba–O bond distances ranging from 2.74–2.95 Å. In the seventeenth Ba2+ site, Ba2+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of Ba–O bond distances ranging from 2.80–3.18 Å. In the eighteenth Ba2+ site, Ba2+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of Ba–O bond distances ranging from 2.78–3.30 Å. In the nineteenth Ba2+ site, Ba2+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of Ba–O bond distances ranging from 2.79–3.18 Å. In the twentieth Ba2+ site, Ba2+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of Ba–O bond distances ranging from 2.81–3.13 Å. There are seven inequivalent Ru+4.71+ sites. In the first Ru+4.71+ site, Ru+4.71+ is bonded to six O2- atoms to form face-sharing RuO6 octahedra. There are a spread of Ru–O bond distances ranging from 1.91–2.11 Å. In the second Ru+4.71+ site, Ru+4.71+ is bonded to six O2- atoms to form RuO6 octahedra that share a faceface with one GaO6 octahedra. There are a spread of Ru–O bond distances ranging from 1.93–2.07 Å. In the third Ru+4.71+ site, Ru+4.71+ is bonded to six O2- atoms to form face-sharing RuO6 octahedra. There are a spread of Ru–O bond distances ranging from 1.91–2.13 Å. In the fourth Ru+4.71+ site, Ru+4.71+ is bonded to six O2- atoms to form face-sharing RuO6 octahedra. There are a spread of Ru–O bond distances ranging from 1.90–2.11 Å. In the fifth Ru+4.71+ site, Ru+4.71+ is bonded to six O2- atoms to form RuO6 octahedra that share corners with two equivalent GaO4 tetrahedra and a faceface with one RuO6 octahedra. There are a spread of Ru–O bond distances ranging from 1.91–2.07 Å. In the sixth Ru+4.71+ site, Ru+4.71+ is bonded to six O2- atoms to form RuO6 octahedra that share corners with two equivalent GaO4 tetrahedra and a faceface with one RuO6 octahedra. There are a spread of Ru–O bond distances ranging from 1.90–2.06 Å. In the seventh Ru+4.71+ site, Ru+4.71+ is bonded to six O2- atoms to form RuO6 octahedra that share corners with two equivalent GaO4 tetrahedra and a faceface with one RuO6 octahedra. There are a spread of Ru–O bond distances ranging from 1.91–2.08 Å. There are five inequivalent Ga3+ sites. In the first Ga3+ site, Ga3+ is bonded to four O2- atoms to form GaO4 tetrahedra that share corners with two equivalent RuO6 octahedra. The corner-sharing octahedral tilt angles are 13°. There are a spread of Ga–O bond distances ranging from 1.82–1.88 Å. In the second Ga3+ site, Ga3+ is bonded to four O2- atoms to form GaO4 tetrahedra that share corners with two equivalent RuO6 octahedra. The corner-sharing octahedral tilt angles are 14°. There are a spread of Ga–O bond distances ranging from 1.82–1.87 Å. In the third Ga3+ site, Ga3+ is bonded to four O2- atoms to form GaO4 tetrahedra that share corners with two equivalent RuO6 octahedra. The corner-sharing octahedral tilt angles are 13°. There are a spread of Ga–O bond distances ranging from 1.82–1.88 Å. In the fourth Ga3+ site, Ga3+ is bonded to four O2- atoms to form corner-sharing GaO4 tetrahedra. The corner-sharing octahedral tilt angles are 13°. There are a spread of Ga–O bond distances ranging from 1.84–1.86 Å. In the fifth Ga3+ site, Ga3+ is bonded to six O2- atoms to form GaO6 octahedra that share corners with two equivalent GaO4 tetrahedra and a faceface with one RuO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.90–2.16 Å. There are thirty-two inequivalent O2- sites. In the first O2- site, O2- is bonded in a 1-coordinate geometry to five Ba2+ and one Ga3+ atom. In the second O2- site, O2- is bonded in a 1-coordinate geometry to five Ba2+ and one Ru+4.71+ atom. In the third O2- site, O2- is bonded in a 1-coordinate geometry to five Ba2+ and one Ru+4.71+ atom. In the fourth O2- site, O2- is bonded in a 1-coordinate geometry to five Ba2+ and one Ru+4.71+ atom. In the fifth O2- site, O2- is bonded to four Ba2+ and one Ru+4.71+ atom to form distorted OBa4Ru square pyramids that share a cornercorner with one OBa4Ru2 octahedra, corners with two equivalent OBa4Ru square pyramids, and edges with two equivalent OBa4Ga square pyramids. The corner-sharing octahedral tilt angles are 5°. In the sixth O2- site, O2- is bonded to four Ba2+ and one Ru+4.71+ atom to form distorted OBa4Ru square pyramids that share corners with three OBa4GaRu octahedra, corners with two equivalent OBa4Ru square pyramids, edges with two equivalent OBa4Ga square pyramids, and faces with two equivalent OBa4GaRu octahedra. The corner-sharing octahedra tilt angles range from 9–50°. In the seventh O2- site, O2- is bonded to four Ba2+ and one Ru+4.71+ atom to form distorted OBa4Ru square pyramids that share a cornercorner with one OBa4Ru2 octahedra, corners with two equivalent OBa4Ru square pyramids, and edges with two equivalent OBa4Ga square pyramids. The corner-sharing octahedral tilt angles are 8°. In the eighth O2- site, O2- is bonded to four Ba2+ and one Ru+4.71+ atom to form distorted OBa4Ru square pyramids that share corners with three OBa4Ru2 octahedra, corners with two equivalent OBa4Ru square pyramids, and edges with two equivalent OBa4Ga square pyramids. The corner-sharing octahedra tilt angles range from 9–37°. In the ninth O2- site, O2- is bonded in a 5-coordinate geometry to four Ba2+ and one Ga3+ atom. In the tenth O2- site, O2- is bonded in a 5-coordinate geometry to four Ba2+ and one Ga3+ atom. In the eleventh O2- site, O2- is bonded in a 5-coordinate geometry to four Ba2+ and one Ga3+ atom. In the twelfth O2- site, O2- is bonded in a 5-coordinate geometry to four Ba2+ and one Ga3+ atom. In the thirteenth O2- site, O2- is bonded to four Ba2+ and one Ga3+ atom to form distorted OBa4Ga square pyramids that share a cornercorner with one OBa4GaRu octahedra, corners with two equivalent OBa4Ga square pyramids, and edges with two equivalent OBa4Ru square pyramids. The corner-sharing octahedral tilt angles are 36°. In the fourteenth O2- site, O2- is bonded to four Ba2+ and one Ga3+ atom to form distorted OBa4Ga square pyramids that share a cornercorner with one OBa4Ru2 octahedra, corners with two equivalent OBa4Ga square pyramids, and edges with two equivalent OBa4Ru square pyramids. The corner-sharing octahedral tilt angles are 38°. In the fifteenth O2- site, O2- is bonded to four Ba2+ and one Ga3+ atom to form distorted OBa4Ga square pyramids that share corners with three OBa4Ru2 octahedra, corners with two equivalent OBa4Ga square pyramids, and edges with two equivalent OBa4Ru square pyramids. The corner-sharing octahedra tilt angles range from 36–50°. In the sixteenth O2- site, O2- is bonded to four Ba2+ and one Ga3+ atom to form distorted OBa4Ga square pyramids that share a cornercorner with one OBa4Ru2 octahedra, corners with two equivalent OBa4Ga square pyramids, and edges with two equivalent OBa4Ru square pyramids. The corner-sharing octahedral tilt angles are 37°. In the seventeenth O2- site, O2- is bonded to four Ba2+, one Ru+4.71+, and one Ga3+ atom to form distorted OBa4GaRu octahedra that share corners with four OBa4GaRu octahedra, corners with two OBa4Ru square pyramids, edges with two equivalent OBa4Ru2 octahedra, and faces with two equivalent OBa4GaRu octahedra. The corner-sharing octahedra tilt angles range from 4–58°. In the eighteenth O2- site, O2- is bonded to four Ba2+ and two Ru+4.71+ atoms to form distorted OBa4Ru2 octahedra that share corners with two equivalent OBa4Ru2 octahedra, corners with two OBa4Ru square pyramids, and edges with two equivalent OBa4Ru2 octahedra. The corner-sharing octahedral tilt angles are 6°. In the nineteenth O2- site, O2- is bonded to four Ba2+ and two Ru+4.71+ atoms to form distorted OBa4Ru2 octahedra that share corners with four OBa4Ru2 octahedra, corners with two OBa4Ru square pyramids, and edges with two equivalent OBa4GaRu octahedra. The corner-sharing octahedra tilt angles range from 10–51°. In the twentieth O2- site, O2- is bonded to four Ba2+ and two Ru+4.71+ atoms to form distorted OBa4Ru2 octahedra that share corners with two equivalent OBa4Ru2 octahedra, corners with two OBa4Ru square pyramids, and edges with two equivalent OBa4Ru2 octahedra. The corner-sharing octahedral tilt angles are 6°. In the twenty-first O2- site, O2- is bonded in a 6-coordinate geometry to four Ba2+ and two Ru+4.71+ atoms. In the twenty-second O2- site, O2- is bonded to four Ba2+, one Ru+4.71+, and one Ga3+ atom to form distorted OBa4GaRu octahedra that share corners with two OBa4GaRu octahedra, corners with three OBa4Ru square pyramids, faces with three OBa4GaRu octahedra, and a faceface with one OBa4Ru square pyramid. The corner-sharing octahedra tilt angles range from 51–58°. In the twenty-third O2- site, O2- is bonded in a 6-coordinate geometry to four Ba2+ and two Ru+4.71+ atoms. In the twenty-fourth O2- site, O2- is bonded in a 6-coordinate geometry to four Ba2+ and two Ru+4.71+ atoms. In the twenty-fifth O2- site, O2- is bonded in a 1-coordinate geometry to five Ba2+ and one Ru+4.71+ atom. In the twenty-sixth O2- site, O2- is bonded in a 1-coordinate geometry to five Ba2+ and one Ru+4.71+ atom. In the twenty-seventh O2- site, O2- is bonded in a 1-coordinate geometry to five Ba2+ and one Ru+4.71+ atom. In the twenty-eighth O2- site, O2- is bonded in a 1-coordinate geometry to five Ba2+ and one Ru+4.71+ atom. In the twenty-ninth O2- site, O2- is bonded

36 MATERIALS SCIENCE↗

Materials Data on Sr4Y2GaCu5(PbO4)4 by Materials Project

Sr4Y2Cu5Ga(PbO4)4 crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are four inequivalent Sr2+ sites. In the first Sr2+ site, Sr2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Sr–O bond distances ranging from 2.63–2.80 Å. In the second Sr2+ site, Sr2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Sr–O bond distances ranging from 2.64–2.80 Å. In the third Sr2+ site, Sr2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Sr–O bond distances ranging from 2.61–2.80 Å. In the fourth Sr2+ site, Sr2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Sr–O bond distances ranging from 2.62–2.78 Å. There are two inequivalent Y3+ sites. In the first Y3+ site, Y3+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Y–O bond distances ranging from 2.39–2.47 Å. In the second Y3+ site, Y3+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Y–O bond distances ranging from 2.39–2.47 Å. There are five inequivalent Cu+1.40+ sites. In the first Cu+1.40+ site, Cu+1.40+ is bonded in a linear geometry to two O2- atoms. There is one shorter (1.85 Å) and one longer (1.86 Å) Cu–O bond length. In the second Cu+1.40+ site, Cu+1.40+ is bonded in a linear geometry to two O2- atoms. There is one shorter (1.85 Å) and one longer (1.86 Å) Cu–O bond length. In the third Cu+1.40+ site, Cu+1.40+ is bonded to five O2- atoms to form CuO5 square pyramids that share a cornercorner with one PbO5 square pyramid and corners with four equivalent CuO5 square pyramids. There are four shorter (1.95 Å) and one longer (2.36 Å) Cu–O bond lengths. In the fourth Cu+1.40+ site, Cu+1.40+ is bonded to five O2- atoms to form CuO5 square pyramids that share a cornercorner with one PbO5 square pyramid and corners with four equivalent CuO5 square pyramids. There are four shorter (1.94 Å) and one longer (2.39 Å) Cu–O bond lengths. In the fifth Cu+1.40+ site, Cu+1.40+ is bonded to five O2- atoms to form CuO5 square pyramids that share a cornercorner with one PbO5 square pyramid and corners with four equivalent GaO5 square pyramids. There are four shorter (2.00 Å) and one longer (2.31 Å) Cu–O bond lengths. Ga3+ is bonded to five O2- atoms to form GaO5 square pyramids that share a cornercorner with one PbO5 square pyramid and corners with four equivalent CuO5 square pyramids. There is four shorter (1.92 Å) and one longer (1.99 Å) Ga–O bond length. There are four inequivalent Pb2+ sites. In the first Pb2+ site, Pb2+ is bonded to five O2- atoms to form distorted PbO5 square pyramids that share a cornercorner with one CuO5 square pyramid, corners with four equivalent PbO5 square pyramids, and edges with four equivalent PbO5 square pyramids. There are a spread of Pb–O bond distances ranging from 2.15–3.06 Å. In the second Pb2+ site, Pb2+ is bonded to five O2- atoms to form distorted PbO5 square pyramids that share a cornercorner with one CuO5 square pyramid, corners with four equivalent PbO5 square pyramids, and edges with four equivalent PbO5 square pyramids. There are a spread of Pb–O bond distances ranging from 2.16–3.04 Å. In the third Pb2+ site, Pb2+ is bonded to five O2- atoms to form distorted PbO5 square pyramids that share a cornercorner with one GaO5 square pyramid, corners with four equivalent PbO5 square pyramids, and edges with four equivalent PbO5 square pyramids. There are a spread of Pb–O bond distances ranging from 2.30–3.09 Å. In the fourth Pb2+ site, Pb2+ is bonded to five O2- atoms to form distorted PbO5 square pyramids that share a cornercorner with one CuO5 square pyramid, corners with four equivalent PbO5 square pyramids, and edges with four equivalent PbO5 square pyramids. There are a spread of Pb–O bond distances ranging from 2.17–3.02 Å. There are twelve inequivalent O2- sites. In the first O2- site, O2- is bonded to four Sr2+, one Cu+1.40+, and one Pb2+ atom to form a mixture of distorted edge and corner-sharing OSr4CuPb octahedra. The corner-sharing octahedral tilt angles are 22°. In the second O2- site, O2- is bonded to four Sr2+, one Cu+1.40+, and one Pb2+ atom to form a mixture of distorted edge and corner-sharing OSr4CuPb octahedra. The corner-sharing octahedra tilt angles range from 21–22°. In the third O2- site, O2- is bonded to four Sr2+, one Ga3+, and one Pb2+ atom to form distorted OSr4GaPb octahedra that share corners with four equivalent OSr4GaPb octahedra and edges with four equivalent OSr4CuPb octahedra. The corner-sharing octahedral tilt angles are 15°. In the fourth O2- site, O2- is bonded to four Sr2+, one Cu+1.40+, and one Pb2+ atom to form distorted OSr4CuPb octahedra that share corners with four equivalent OSr4CuPb octahedra and edges with four equivalent OSr4GaPb octahedra. The corner-sharing octahedra tilt angles range from 21–22°. In the fifth O2- site, O2- is bonded in a 6-coordinate geometry to two Sr2+, two Y3+, and two Cu+1.40+ atoms. In the sixth O2- site, O2- is bonded in a 6-coordinate geometry to two Sr2+, two Y3+, and two Cu+1.40+ atoms. In the seventh O2- site, O2- is bonded in a 6-coordinate geometry to two Sr2+, two Y3+, one Cu+1.40+, and one Ga3+ atom. In the eighth O2- site, O2- is bonded in a 6-coordinate geometry to two Sr2+, two Y3+, one Cu+1.40+, and one Ga3+ atom. In the ninth O2- site, O2- is bonded in a 1-coordinate geometry to one Sr2+, one Cu+1.40+, and four Pb2+ atoms. In the tenth O2- site, O2- is bonded in a 1-coordinate geometry to one Sr2+, one Cu+1.40+, and four Pb2+ atoms. In the eleventh O2- site, O2- is bonded in a 1-coordinate geometry to one Sr2+, one Cu+1.40+, and four Pb2+ atoms. In the twelfth O2- site, O2- is bonded in a 1-coordinate geometry to one Sr2+, one Cu+1.40+, and four Pb2+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Sn3Mo15Se19 by Materials Project

Mo15Sn3Se19 crystallizes in the monoclinic P2_1/m space group. The structure is three-dimensional. there are nine inequivalent Mo2+ sites. In the first Mo2+ site, Mo2+ is bonded to five Se2- atoms to form MoSe5 square pyramids that share a cornercorner with one SnSe6 octahedra, corners with four MoSe5 square pyramids, and edges with three MoSe5 square pyramids. The corner-sharing octahedral tilt angles are 59°. There are a spread of Mo–Se bond distances ranging from 2.54–2.72 Å. In the second Mo2+ site, Mo2+ is bonded to five Se2- atoms to form MoSe5 square pyramids that share a cornercorner with one SnSe6 octahedra, corners with four MoSe5 square pyramids, and edges with three MoSe5 square pyramids. The corner-sharing octahedral tilt angles are 55°. There are a spread of Mo–Se bond distances ranging from 2.54–2.74 Å. In the third Mo2+ site, Mo2+ is bonded to five Se2- atoms to form MoSe5 square pyramids that share corners with four MoSe5 square pyramids, an edgeedge with one SnSe6 octahedra, and edges with three MoSe5 square pyramids. There are a spread of Mo–Se bond distances ranging from 2.54–2.73 Å. In the fourth Mo2+ site, Mo2+ is bonded to five Se2- atoms to form MoSe5 square pyramids that share a cornercorner with one SnSe6 octahedra, corners with three MoSe5 square pyramids, and edges with five MoSe5 square pyramids. The corner-sharing octahedral tilt angles are 54°. There are a spread of Mo–Se bond distances ranging from 2.53–2.75 Å. In the fifth Mo2+ site, Mo2+ is bonded to five Se2- atoms to form MoSe5 square pyramids that share a cornercorner with one SnSe6 octahedra, corners with three MoSe5 square pyramids, and edges with five MoSe5 square pyramids. The corner-sharing octahedral tilt angles are 39°. There are a spread of Mo–Se bond distances ranging from 2.53–2.73 Å. In the sixth Mo2+ site, Mo2+ is bonded to five Se2- atoms to form MoSe5 square pyramids that share corners with three MoSe5 square pyramids, an edgeedge with one SnSe6 octahedra, and edges with five MoSe5 square pyramids. There are a spread of Mo–Se bond distances ranging from 2.61–2.75 Å. In the seventh Mo2+ site, Mo2+ is bonded in a see-saw-like geometry to four Se2- atoms. There are a spread of Mo–Se bond distances ranging from 2.57–2.61 Å. In the eighth Mo2+ site, Mo2+ is bonded in a see-saw-like geometry to four Se2- atoms. There are a spread of Mo–Se bond distances ranging from 2.58–2.61 Å. In the ninth Mo2+ site, Mo2+ is bonded in a see-saw-like geometry to four Se2- atoms. There are a spread of Mo–Se bond distances ranging from 2.59–2.69 Å. There are two inequivalent Sn+2.67+ sites. In the first Sn+2.67+ site, Sn+2.67+ is bonded in a 4-coordinate geometry to four Se2- atoms. There are a spread of Sn–Se bond distances ranging from 2.75–3.21 Å. In the second Sn+2.67+ site, Sn+2.67+ is bonded to six Se2- atoms to form distorted SnSe6 octahedra that share corners with eight MoSe5 square pyramids and edges with four MoSe5 square pyramids. There are a spread of Sn–Se bond distances ranging from 2.77–3.01 Å. There are eleven inequivalent Se2- sites. In the first Se2- site, Se2- is bonded in a 5-coordinate geometry to four Mo2+ and one Sn+2.67+ atom. In the second Se2- site, Se2- is bonded in a 4-coordinate geometry to four Mo2+ atoms. In the third Se2- site, Se2- is bonded in a 5-coordinate geometry to four Mo2+ and one Sn+2.67+ atom. In the fourth Se2- site, Se2- is bonded in a 4-coordinate geometry to three Mo2+ and one Sn+2.67+ atom. In the fifth Se2- site, Se2- is bonded in a 5-coordinate geometry to four Mo2+ and one Sn+2.67+ atom. In the sixth Se2- site, Se2- is bonded in a 5-coordinate geometry to four Mo2+ and one Sn+2.67+ atom. In the seventh Se2- site, Se2- is bonded in a 5-coordinate geometry to four Mo2+ and one Sn+2.67+ atom. In the eighth Se2- site, Se2- is bonded in a distorted rectangular see-saw-like geometry to four Mo2+ atoms. In the ninth Se2- site, Se2- is bonded in a 4-coordinate geometry to four Mo2+ atoms. In the tenth Se2- site, Se2- is bonded in a 5-coordinate geometry to four Mo2+ and one Sn+2.67+ atom. In the eleventh Se2- site, Se2- is bonded in a 4-coordinate geometry to three Mo2+ and one Sn+2.67+ atom.

36 MATERIALS SCIENCE↗

Materials Data on CsHfMg30O31 by Materials Project

CsMg30HfO31 crystallizes in the tetragonal P4mm space group. The structure is three-dimensional. Cs is bonded in a 5-coordinate geometry to five O atoms. There are four shorter (2.52 Å) and one longer (2.78 Å) Cs–O bond lengths. There are ten inequivalent Mg sites. In the first Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with two equivalent MgO6 octahedra, corners with two equivalent HfO6 octahedra, edges with ten MgO6 octahedra, and edges with two equivalent MgO5 square pyramids. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of Mg–O bond distances ranging from 1.91–2.29 Å. In the second Mg site, Mg is bonded to five O atoms to form MgO5 square pyramids that share corners with four equivalent MgO6 octahedra, corners with four equivalent MgO5 square pyramids, and edges with eight MgO6 octahedra. The corner-sharing octahedral tilt angles are 3°. There are one shorter (2.02 Å) and four longer (2.31 Å) Mg–O bond lengths. In the third Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with four MgO6 octahedra, corners with two equivalent MgO5 square pyramids, edges with ten MgO6 octahedra, and edges with two equivalent MgO5 square pyramids. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of Mg–O bond distances ranging from 2.08–2.24 Å. In the fourth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with two equivalent HfO6 octahedra, corners with four equivalent MgO6 octahedra, and edges with twelve MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of Mg–O bond distances ranging from 2.15–2.23 Å. In the fifth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, an edgeedge with one HfO6 octahedra, edges with eight MgO6 octahedra, and edges with two equivalent MgO5 square pyramids. The corner-sharing octahedra tilt angles range from 2–16°. There are a spread of Mg–O bond distances ranging from 2.14–2.22 Å. In the sixth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, edges with nine MgO6 octahedra, and edges with three MgO5 square pyramids. The corner-sharing octahedra tilt angles range from 2–7°. There are a spread of Mg–O bond distances ranging from 2.16–2.21 Å. In the seventh Mg site, Mg is bonded to five O atoms to form MgO5 square pyramids that share corners with four MgO6 octahedra, corners with four MgO5 square pyramids, and edges with eight MgO6 octahedra. The corner-sharing octahedra tilt angles range from 3–12°. There are a spread of Mg–O bond distances ranging from 2.07–2.31 Å. In the eighth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with four MgO6 octahedra, corners with two equivalent MgO5 square pyramids, an edgeedge with one HfO6 octahedra, edges with nine MgO6 octahedra, and edges with two equivalent MgO5 square pyramids. The corner-sharing octahedra tilt angles range from 1–8°. There are a spread of Mg–O bond distances ranging from 2.10–2.23 Å. In the ninth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with four MgO6 octahedra, corners with two equivalent MgO5 square pyramids, edges with ten MgO6 octahedra, and an edgeedge with one MgO5 square pyramid. The corner-sharing octahedra tilt angles range from 0–11°. There are a spread of Mg–O bond distances ranging from 2.11–2.21 Å. In the tenth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, an edgeedge with one HfO6 octahedra, and edges with eleven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 1–8°. There are a spread of Mg–O bond distances ranging from 2.10–2.27 Å. Hf is bonded to six O atoms to form HfO6 octahedra that share corners with six MgO6 octahedra and edges with twelve MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are five shorter (2.10 Å) and one longer (2.12 Å) Hf–O bond lengths. There are eleven inequivalent O sites. In the first O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with four OHfMg5 octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the second O site, O is bonded to five Mg and one Hf atom to form OHfMg5 octahedra that share corners with six OMg6 octahedra and edges with twelve OHfMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the third O site, O is bonded to one Cs and five Mg atoms to form a mixture of distorted corner and edge-sharing OCsMg5 octahedra. The corner-sharing octahedral tilt angles are 6°. In the fourth O site, O is bonded to six Mg atoms to form a mixture of corner and edge-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. In the fifth O site, O is bonded to five Mg and one Hf atom to form a mixture of corner and edge-sharing OHfMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the sixth O site, O is bonded to six Mg atoms to form a mixture of corner and edge-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 2–8°. In the seventh O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OMg6 octahedra and edges with twelve OCsMg5 octahedra. The corner-sharing octahedra tilt angles range from 2–6°. In the eighth O site, O is bonded to one Cs and five Mg atoms to form distorted OCsMg5 octahedra that share corners with six OHfMg5 octahedra and edges with eleven OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–19°. In the ninth O site, O is bonded to five Mg and one Hf atom to form OHfMg5 octahedra that share corners with six OHfMg5 octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 1–11°. In the tenth O site, O is bonded to six Mg atoms to form a mixture of corner and edge-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 1–11°. In the eleventh O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OHfMg5 octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 1–7°.

36 MATERIALS SCIENCE↗

Materials Data on Mg9Si5 by Materials Project

Mg9Si5 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eighteen inequivalent Mg sites. In the first Mg site, Mg is bonded in a 5-coordinate geometry to five Si atoms. There are a spread of Mg–Si bond distances ranging from 2.70–3.05 Å. In the second Mg site, Mg is bonded in a 4-coordinate geometry to four Si atoms. There are a spread of Mg–Si bond distances ranging from 2.75–3.06 Å. In the third Mg site, Mg is bonded in a 5-coordinate geometry to five Si atoms. There are a spread of Mg–Si bond distances ranging from 2.72–2.97 Å. In the fourth Mg site, Mg is bonded in a 3-coordinate geometry to three Si atoms. There are a spread of Mg–Si bond distances ranging from 2.78–2.93 Å. In the fifth Mg site, Mg is bonded in a 5-coordinate geometry to five Si atoms. There are a spread of Mg–Si bond distances ranging from 2.77–2.96 Å. In the sixth Mg site, Mg is bonded to four Si atoms to form distorted corner-sharing MgSi4 tetrahedra. There are a spread of Mg–Si bond distances ranging from 2.69–2.79 Å. In the seventh Mg site, Mg is bonded in a 5-coordinate geometry to five Si atoms. There are a spread of Mg–Si bond distances ranging from 2.73–2.98 Å. In the eighth Mg site, Mg is bonded in a distorted see-saw-like geometry to four Si atoms. There are a spread of Mg–Si bond distances ranging from 2.68–2.77 Å. In the ninth Mg site, Mg is bonded in a distorted single-bond geometry to three Si atoms. There are a spread of Mg–Si bond distances ranging from 2.72–3.26 Å. In the tenth Mg site, Mg is bonded in a 3-coordinate geometry to five Si atoms. There are a spread of Mg–Si bond distances ranging from 2.62–3.02 Å. In the eleventh Mg site, Mg is bonded in a 4-coordinate geometry to four Si atoms. There are a spread of Mg–Si bond distances ranging from 2.65–2.80 Å. In the twelfth Mg site, Mg is bonded in a 3-coordinate geometry to five Si atoms. There are a spread of Mg–Si bond distances ranging from 2.84–3.19 Å. In the thirteenth Mg site, Mg is bonded in a 4-coordinate geometry to four Si atoms. There are a spread of Mg–Si bond distances ranging from 2.70–2.85 Å. In the fourteenth Mg site, Mg is bonded to five Si atoms to form distorted corner-sharing MgSi5 tetrahedra. There are a spread of Mg–Si bond distances ranging from 2.73–3.20 Å. In the fifteenth Mg site, Mg is bonded in a 5-coordinate geometry to five Si atoms. There are a spread of Mg–Si bond distances ranging from 2.86–3.16 Å. In the sixteenth Mg site, Mg is bonded in a 4-coordinate geometry to five Si atoms. There are a spread of Mg–Si bond distances ranging from 2.87–3.24 Å. In the seventeenth Mg site, Mg is bonded in a 4-coordinate geometry to four Si atoms. There are a spread of Mg–Si bond distances ranging from 2.82–3.12 Å. In the eighteenth Mg site, Mg is bonded in a 4-coordinate geometry to four Si atoms. There are a spread of Mg–Si bond distances ranging from 2.72–3.03 Å. There are ten inequivalent Si sites. In the first Si site, Si is bonded in a 8-coordinate geometry to seven Mg and one Si atom. The Si–Si bond length is 2.45 Å. In the second Si site, Si is bonded in a 10-coordinate geometry to nine Mg and one Si atom. The Si–Si bond length is 2.79 Å. In the third Si site, Si is bonded in a 9-coordinate geometry to nine Mg atoms. In the fourth Si site, Si is bonded in a 9-coordinate geometry to nine Mg atoms. In the fifth Si site, Si is bonded in a 10-coordinate geometry to seven Mg and three Si atoms. There are one shorter (2.66 Å) and one longer (2.76 Å) Si–Si bond lengths. In the sixth Si site, Si is bonded in a 8-coordinate geometry to six Mg and two Si atoms. The Si–Si bond length is 2.67 Å. In the seventh Si site, Si is bonded in a 10-coordinate geometry to nine Mg and one Si atom. In the eighth Si site, Si is bonded in a 5-coordinate geometry to eight Mg and one Si atom. In the ninth Si site, Si is bonded in a 9-coordinate geometry to nine Mg atoms. In the tenth Si site, Si is bonded in a 5-coordinate geometry to six Mg and one Si atom.

36 MATERIALS SCIENCE↗

Materials Data on Li5Mn4(P2O7)4 by Materials Project

Li5Mn4(P2O7)4 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are ten 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 1.90–2.59 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four PO4 tetrahedra, a cornercorner with one MnO5 trigonal bipyramid, and an edgeedge with one LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.83–1.97 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 trigonal pyramids that share a cornercorner with one MnO6 octahedra, corners with four PO4 tetrahedra, a cornercorner with one MnO5 trigonal bipyramid, and an edgeedge with one LiO4 tetrahedra. The corner-sharing octahedral tilt angles are 64°. There are a spread of Li–O bond distances ranging from 1.83–1.95 Å. In the fourth Li1+ site, Li1+ is bonded in a distorted see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.85–2.12 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with four PO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, and an edgeedge with one LiO4 trigonal pyramid. The corner-sharing octahedral tilt angles are 45°. There are a spread of Li–O bond distances ranging from 1.90–1.97 Å. In the sixth 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 1.96–2.63 Å. In the seventh Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share corners with two LiO4 tetrahedra, corners with five PO4 tetrahedra, and edges with two MnO6 octahedra. There are a spread of Li–O bond distances ranging from 1.95–2.47 Å. In the eighth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with four PO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, and an edgeedge with one LiO4 tetrahedra. The corner-sharing octahedral tilt angles are 70°. There are a spread of Li–O bond distances ranging from 1.89–1.98 Å. In the ninth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one MnO6 octahedra. The corner-sharing octahedral tilt angles are 61°. There are a spread of Li–O bond distances ranging from 1.90–2.09 Å. In the tenth 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 1.94–2.28 Å. There are eight inequivalent Mn+2.75+ sites. In the first Mn+2.75+ site, Mn+2.75+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Mn–O bond distances ranging from 1.92–2.18 Å. In the second Mn+2.75+ site, Mn+2.75+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, corners with five PO4 tetrahedra, and an edgeedge with one MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.98–2.14 Å. In the third Mn+2.75+ site, Mn+2.75+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with five PO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, and an edgeedge with one MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.92–2.14 Å. In the fourth Mn+2.75+ site, Mn+2.75+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Mn–O bond distances ranging from 1.96–2.20 Å. In the fifth Mn+2.75+ site, Mn+2.75+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one LiO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 1.93–2.30 Å. In the sixth Mn+2.75+ site, Mn+2.75+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Mn–O bond distances ranging from 2.12–2.69 Å. In the seventh Mn+2.75+ site, Mn+2.75+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with three LiO4 tetrahedra, corners with four PO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one MnO6 octahedra, an edgeedge with one PO4 tetrahedra, and an edgeedge with one LiO5 trigonal bipyramid. There are a spread of Mn–O bond distances ranging from 2.08–2.64 Å. In the eighth Mn+2.75+ site, Mn+2.75+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with six PO4 tetrahedra, an edgeedge with one MnO6 octahedra, and an edgeedge with one LiO5 trigonal bipyramid. There are a spread of Mn–O bond distances ranging from 1.98–2.46 Å. There are sixteen inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one PO4 tetrahedra, and a cornercorner with one MnO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 54°. There are a spread of P–O bond distances ranging from 1.51–1.60 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one LiO4 tetrahedra, a cornercorner with one PO4 tetrahedra, a cornercorner with one MnO5 trigonal bipyramid, and a cornercorner with one LiO4 trigonal pyramid. The corner-sharing octahedral tilt angles are 31°. There are a spread of P–O bond distances ranging from 1.51–1.63 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two MnO6 octahedra, a cornercorner with one PO4 tetrahedra, corners with two LiO4 tetrahedra, and a cornercorner with one MnO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 53–54°. There are a spread of P–O bond distances ranging from 1.50–1.60 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three MnO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 30–55°. There are a spread of P–O bond distances ranging from 1.52–1.63 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three MnO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 34–47°. There are a spread of P–O bond distances ranging from 1.52–1.62 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one LiO4 tetrahedra, a cornercorner with one PO4 tetrahedra, a cornercorner with one MnO5 trigonal bipyramid, and a cornercorner with one LiO4 trigonal pyramid. The corner-sharing octahedral tilt angles are 54°. There are a spread of P–O bond distances ranging from 1.51–1.61 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one PO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, and a cornercorner with one MnO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 56°. There are a spread of P–O bond distances ranging from 1.48–1.62 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one PO4 tetrahedra, corners with two LiO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, and a cornercorner with one MnO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 33°. There are a spread of P–O bond distances ranging from 1.51–1.61 Å. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two MnO6 octahedra, a cornercorner with one LiO4 tetrahedra, a cornercorner with one PO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, and a cornercorner with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 40–62°. There are a spread of P–O bond distances ranging from 1.48–1.61 Å. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two MnO6 octahedra, a cornercorner with one PO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, and a cornercorner with one MnO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 55–60°. There are a spread of P–O bond distances ranging from 1.48–1.61 Å. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one PO4 tetrahedra, corners with two LiO4 tetrahedra, a cornercorner with one MnO5 trigonal bipyramid, a cornercorner with one LiO4 trigonal pyramid, and an edgeedge with one MnO6 octahedra. The corner-sharing octahedral tilt angles are 56°. There are a spread of P–O bond distances ranging from 1.51–1.61 Å. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three MnO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 24–50°. There are a spread of P–O bond distances ranging from 1.53–1.62 Å. In the thirteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three MnO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 29–47°. There are a spread of P–O bond distances ranging from 1.53–1.61 Å. In the fourteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one PO4 tetrahedra, corners with two LiO4 tetrahedra, and a cornercorner with one MnO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 54°. There are a spread of P–O bond distances ranging from 1.52–1.61 Å. In the fifteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one PO4 tetrahedra, corners with two LiO4 tetrahedra, and a cornercorner with one LiO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 36°. There are a spread of P–O bond distances ranging from 1.48–1.62 Å. In the sixteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two MnO6 octahedra, a cornercorner with one LiO4 tetrahedra, a cornercorner with one PO4 tetrahedra, and a cornercorner with one MnO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 55°. There are a spread of P–O bond distances ranging from 1.49–1.61 Å. There are fifty-six inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal planar geometry to two Li1+ and one P5+ atom. In the second O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Mn+2.75+ and one P5+ atom. In the third O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.75+ and one P5+ atom. In the fourth O2- site, O2- is bonded in a bent 120 degrees geometry to one Mn+2.75+ and one P5+ atom. In the fifth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two P5+ atoms. In the sixth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+2.75+ and one P5+ atom. In the seventh O2- site, O2- is bonded in a distorted trigonal non

36 MATERIALS SCIENCE↗