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DOE OSTI2020

Materials Data on Ca(SnO2)2 by Materials Project

Ca(SnO2)2 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are four inequivalent Ca2+ sites. In the first Ca2+ site, Ca2+ is bonded in a 6-coordinate geometry to eight O2- atoms. There are a spread of Ca–O bond distances ranging from 2.32–3.02 Å. In the second Ca2+ site, Ca2+ is bonded in a 6-coordinate geometry to eight O2- atoms. There are a spread of Ca–O bond distances ranging from 2.32–3.01 Å. In the third Ca2+ site, Ca2+ is bonded in a 6-coordinate geometry to eight O2- atoms. There are a spread of Ca–O bond distances ranging from 2.32–3.03 Å. In the fourth Ca2+ site, Ca2+ is bonded in a 6-coordinate geometry to eight O2- atoms. There are a spread of Ca–O bond distances ranging from 2.32–3.03 Å. There are eight inequivalent Sn3+ sites. In the first Sn3+ site, Sn3+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing SnO6 octahedra. The corner-sharing octahedra tilt angles range from 13–62°. There are a spread of Sn–O bond distances ranging from 2.31–2.72 Å. In the second Sn3+ site, Sn3+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing SnO6 octahedra. The corner-sharing octahedra tilt angles range from 13–61°. There are a spread of Sn–O bond distances ranging from 2.30–2.71 Å. In the third Sn3+ site, Sn3+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing SnO6 octahedra. The corner-sharing octahedra tilt angles range from 13–61°. There are a spread of Sn–O bond distances ranging from 2.31–2.72 Å. In the fourth Sn3+ site, Sn3+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing SnO6 octahedra. The corner-sharing octahedra tilt angles range from 13–61°. There are a spread of Sn–O bond distances ranging from 2.07–2.20 Å. In the fifth Sn3+ site, Sn3+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing SnO6 octahedra. The corner-sharing octahedra tilt angles range from 13–61°. There are a spread of Sn–O bond distances ranging from 2.07–2.20 Å. In the sixth Sn3+ site, Sn3+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing SnO6 octahedra. The corner-sharing octahedra tilt angles range from 13–62°. There are a spread of Sn–O bond distances ranging from 2.07–2.20 Å. In the seventh Sn3+ site, Sn3+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing SnO6 octahedra. The corner-sharing octahedra tilt angles range from 13–62°. There are a spread of Sn–O bond distances ranging from 2.07–2.20 Å. In the eighth Sn3+ site, Sn3+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing SnO6 octahedra. The corner-sharing octahedra tilt angles range from 13–62°. There are a spread of Sn–O bond distances ranging from 2.32–2.72 Å. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded to two equivalent Ca2+ and three Sn3+ atoms to form distorted OCa2Sn3 square pyramids that share corners with five OCa2Sn2 tetrahedra, corners with two equivalent OCa2Sn3 trigonal bipyramids, edges with two equivalent OCa2Sn3 square pyramids, an edgeedge with one OCa2Sn2 tetrahedra, and edges with three OCa2Sn3 trigonal bipyramids. In the second O2- site, O2- is bonded to two equivalent Ca2+ and three Sn3+ atoms to form distorted OCa2Sn3 trigonal bipyramids that share corners with two equivalent OCa2Sn3 square pyramids, corners with five OCa2Sn2 tetrahedra, edges with three OCa2Sn3 square pyramids, an edgeedge with one OCa2Sn2 tetrahedra, and edges with two equivalent OCa2Sn3 trigonal bipyramids. In the third O2- site, O2- is bonded in a 2-coordinate geometry to two Ca2+ and four Sn3+ atoms. In the fourth O2- site, O2- is bonded to two equivalent Ca2+ and three Sn3+ atoms to form distorted OCa2Sn3 square pyramids that share corners with five OCa2Sn2 tetrahedra, corners with two equivalent OCa2Sn3 trigonal bipyramids, edges with two equivalent OCa2Sn3 square pyramids, an edgeedge with one OCa2Sn2 tetrahedra, and edges with three OCa2Sn3 trigonal bipyramids. In the fifth O2- site, O2- is bonded to two equivalent Ca2+ and three Sn3+ atoms to form distorted OCa2Sn3 trigonal bipyramids that share corners with two equivalent OCa2Sn3 square pyramids, corners with five OCa2Sn2 tetrahedra, edges with three OCa2Sn3 square pyramids, an edgeedge with one OCa2Sn2 tetrahedra, and edges with two equivalent OCa2Sn3 trigonal bipyramids. In the sixth O2- site, O2- is bonded to two equivalent Ca2+ and two Sn3+ atoms to form OCa2Sn2 tetrahedra that share corners with five OCa2Sn3 square pyramids, corners with two equivalent OCa2Sn2 tetrahedra, corners with five OCa2Sn3 trigonal bipyramids, an edgeedge with one OCa2Sn3 square pyramid, and an edgeedge with one OCa2Sn3 trigonal bipyramid. In the seventh O2- site, O2- is bonded to two equivalent Ca2+ and three Sn3+ atoms to form distorted OCa2Sn3 trigonal bipyramids that share corners with two equivalent OCa2Sn3 square pyramids, corners with five OCa2Sn2 tetrahedra, edges with three OCa2Sn3 square pyramids, an edgeedge with one OCa2Sn2 tetrahedra, and edges with two equivalent OCa2Sn3 trigonal bipyramids. In the eighth O2- site, O2- is bonded to two equivalent Ca2+ and two Sn3+ atoms to form OCa2Sn2 tetrahedra that share corners with five OCa2Sn3 square pyramids, corners with two equivalent OCa2Sn2 tetrahedra, corners with five OCa2Sn3 trigonal bipyramids, an edgeedge with one OCa2Sn3 square pyramid, and an edgeedge with one OCa2Sn3 trigonal bipyramid. In the ninth O2- site, O2- is bonded in a 2-coordinate geometry to two Ca2+ and four Sn3+ atoms. In the tenth O2- site, O2- is bonded in a 2-coordinate geometry to two Ca2+ and four Sn3+ atoms. In the eleventh O2- site, O2- is bonded to two equivalent Ca2+ and three Sn3+ atoms to form distorted OCa2Sn3 trigonal bipyramids that share corners with two equivalent OCa2Sn3 square pyramids, corners with five OCa2Sn2 tetrahedra, edges with three OCa2Sn3 square pyramids, an edgeedge with one OCa2Sn2 tetrahedra, and edges with two equivalent OCa2Sn3 trigonal bipyramids. In the twelfth O2- site, O2- is bonded to two equivalent Ca2+ and two Sn3+ atoms to form OCa2Sn2 tetrahedra that share corners with five OCa2Sn3 square pyramids, corners with two equivalent OCa2Sn2 tetrahedra, corners with five OCa2Sn3 trigonal bipyramids, an edgeedge with one OCa2Sn3 square pyramid, and an edgeedge with one OCa2Sn3 trigonal bipyramid. In the thirteenth O2- site, O2- is bonded to two equivalent Ca2+ and two Sn3+ atoms to form OCa2Sn2 tetrahedra that share corners with five OCa2Sn3 square pyramids, corners with two equivalent OCa2Sn2 tetrahedra, corners with five OCa2Sn3 trigonal bipyramids, an edgeedge with one OCa2Sn3 square pyramid, and an edgeedge with one OCa2Sn3 trigonal bipyramid. In the fourteenth O2- site, O2- is bonded in a 2-coordinate geometry to two Ca2+ and four Sn3+ atoms. In the fifteenth O2- site, O2- is bonded to two equivalent Ca2+ and three Sn3+ atoms to form distorted OCa2Sn3 square pyramids that share corners with five OCa2Sn2 tetrahedra, corners with two equivalent OCa2Sn3 trigonal bipyramids, edges with two equivalent OCa2Sn3 square pyramids, an edgeedge with one OCa2Sn2 tetrahedra, and edges with three OCa2Sn3 trigonal bipyramids. In the sixteenth O2- site, O2- is bonded to two equivalent Ca2+ and three Sn3+ atoms to form distorted OCa2Sn3 square pyramids that share corners with five OCa2Sn2 tetrahedra, corners with two equivalent OCa2Sn3 trigonal bipyramids, edges with two equivalent OCa2Sn3 square pyramids, an edgeedge with one OCa2Sn2 tetrahedra, and edges with three OCa2Sn3 trigonal bipyramids.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on La7SmNi6(AgO10)2 by Materials Project

SmLa7Ni6(AgO10)2 is Aluminum carbonitride-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are four inequivalent Sm3+ sites. In the first Sm3+ site, Sm3+ is bonded to five O2- atoms to form distorted SmO5 trigonal bipyramids that share corners with two AgO6 octahedra, corners with four NiO4 tetrahedra, a cornercorner with one SmO5 trigonal bipyramid, a cornercorner with one LaO5 trigonal bipyramid, an edgeedge with one NiO6 octahedra, and an edgeedge with one AgO6 octahedra. The corner-sharing octahedra tilt angles range from 81–89°. There are a spread of Sm–O bond distances ranging from 2.29–2.45 Å. In the second Sm3+ site, Sm3+ is bonded to five O2- atoms to form distorted SmO5 trigonal bipyramids that share corners with two AgO6 octahedra, corners with four NiO4 tetrahedra, a cornercorner with one SmO5 trigonal bipyramid, a cornercorner with one LaO5 trigonal bipyramid, and edges with two AgO6 octahedra. The corner-sharing octahedra tilt angles range from 80–92°. There are a spread of Sm–O bond distances ranging from 2.28–2.43 Å. In the third Sm3+ site, Sm3+ is bonded in a distorted pentagonal planar geometry to five O2- atoms. There are a spread of Sm–O bond distances ranging from 2.29–2.43 Å. In the fourth Sm3+ site, Sm3+ is bonded to five O2- atoms to form distorted SmO5 trigonal bipyramids that share corners with two AgO6 octahedra, corners with four NiO4 tetrahedra, a cornercorner with one LaO5 trigonal bipyramid, corners with two SmO5 trigonal bipyramids, and edges with two AgO6 octahedra. The corner-sharing octahedra tilt angles range from 80–92°. There are a spread of Sm–O bond distances ranging from 2.28–2.47 Å. There are twenty-eight inequivalent La3+ sites. In the first La3+ site, La3+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of La–O bond distances ranging from 2.32–2.48 Å. In the second La3+ site, La3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of La–O bond distances ranging from 2.38–2.98 Å. In the third La3+ site, La3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of La–O bond distances ranging from 2.35–2.99 Å. In the fourth La3+ site, La3+ is bonded in a 5-coordinate geometry to eight O2- atoms. There are a spread of La–O bond distances ranging from 2.40–3.08 Å. In the fifth La3+ site, La3+ is bonded to five O2- atoms to form distorted LaO5 trigonal bipyramids that share corners with two AgO6 octahedra, corners with four NiO4 tetrahedra, a cornercorner with one SmO5 trigonal bipyramid, a cornercorner with one LaO5 trigonal bipyramid, and edges with two AgO6 octahedra. The corner-sharing octahedra tilt angles range from 82–95°. There are a spread of La–O bond distances ranging from 2.34–2.54 Å. In the sixth La3+ site, La3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of La–O bond distances ranging from 2.36–2.95 Å. In the seventh La3+ site, La3+ is bonded in a 7-coordinate geometry to eight O2- atoms. There are a spread of La–O bond distances ranging from 2.35–3.11 Å. In the eighth La3+ site, La3+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of La–O bond distances ranging from 2.36–2.47 Å. In the ninth La3+ site, La3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of La–O bond distances ranging from 2.36–3.01 Å. In the tenth La3+ site, La3+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of La–O bond distances ranging from 2.37–2.54 Å. In the eleventh La3+ site, La3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of La–O bond distances ranging from 2.36–2.93 Å. In the twelfth La3+ site, La3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of La–O bond distances ranging from 2.40–3.02 Å. In the thirteenth La3+ site, La3+ is bonded in a distorted pentagonal planar geometry to five O2- atoms. There are a spread of La–O bond distances ranging from 2.34–2.49 Å. In the fourteenth La3+ site, La3+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of La–O bond distances ranging from 2.34–2.52 Å. In the fifteenth La3+ site, La3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of La–O bond distances ranging from 2.41–3.04 Å. In the sixteenth La3+ site, La3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of La–O bond distances ranging from 2.37–2.94 Å. In the seventeenth La3+ site, La3+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of La–O bond distances ranging from 2.37–2.50 Å. In the eighteenth La3+ site, La3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of La–O bond distances ranging from 2.31–3.02 Å. In the nineteenth La3+ site, La3+ is bonded to five O2- atoms to form distorted LaO5 trigonal bipyramids that share corners with two AgO6 octahedra, corners with four NiO4 tetrahedra, a cornercorner with one LaO5 trigonal bipyramid, corners with two SmO5 trigonal bipyramids, and edges with two AgO6 octahedra. The corner-sharing octahedra tilt angles range from 82–94°. There are a spread of La–O bond distances ranging from 2.34–2.53 Å. In the twentieth La3+ site, La3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of La–O bond distances ranging from 2.37–3.05 Å. In the twenty-first La3+ site, La3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of La–O bond distances ranging from 2.37–3.06 Å. In the twenty-second La3+ site, La3+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of La–O bond distances ranging from 2.34–2.49 Å. In the twenty-third La3+ site, La3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of La–O bond distances ranging from 2.30–3.04 Å. In the twenty-fourth La3+ site, La3+ is bonded to five O2- atoms to form distorted LaO5 trigonal bipyramids that share corners with two AgO6 octahedra, corners with four NiO4 tetrahedra, and edges with two AgO6 octahedra. The corner-sharing octahedra tilt angles range from 80–93°. There are a spread of La–O bond distances ranging from 2.37–2.48 Å. In the twenty-fifth La3+ site, La3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of La–O bond distances ranging from 2.37–2.89 Å. In the twenty-sixth La3+ site, La3+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of La–O bond distances ranging from 2.35–2.55 Å. In the twenty-seventh La3+ site, La3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of La–O bond distances ranging from 2.40–3.03 Å. In the twenty-eighth La3+ site, La3+ is bonded in a distorted pentagonal planar geometry to five O2- atoms. There are a spread of La–O bond distances ranging from 2.35–2.53 Å. There are twenty-four inequivalent Ni+2.33+ sites. In the first Ni+2.33+ site, Ni+2.33+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with four NiO6 octahedra and corners with two NiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 14–17°. There are a spread of Ni–O bond distances ranging from 2.02–2.26 Å. In the second Ni+2.33+ site, Ni+2.33+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with four NiO6 octahedra and corners with two NiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 17–19°. There are a spread of Ni–O bond distances ranging from 2.02–2.18 Å. In the third Ni+2.33+ site, Ni+2.33+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with four NiO6 octahedra and corners with two NiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 13–17°. There are a spread of Ni–O bond distances ranging from 2.03–2.24 Å. In the fourth Ni+2.33+ site, Ni+2.33+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with four AgO6 octahedra, corners with two NiO4 tetrahedra, and an edgeedge with one SmO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 25–30°. There are a spread of Ni–O bond distances ranging from 2.00–2.32 Å. In the fifth Ni+2.33+ site, Ni+2.33+ is bonded to six O2- atoms to form NiO6 octahedra that share a cornercorner with one AgO6 octahedra, corners with three NiO6 octahedra, and corners with two NiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 13–24°. There are a spread of Ni–O bond distances ranging from 2.00–2.18 Å. In the sixth Ni+2.33+ site, Ni+2.33+ is bonded to six O2- atoms to form NiO6 octahedra that share a cornercorner with one AgO6 octahedra, corners with three NiO6 octahedra, and corners with two NiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 16–24°. There are a spread of Ni–O bond distances ranging from 1.99–2.19 Å. In the seventh Ni+2.33+ site, Ni+2.33+ is bonded to six O2- atoms to form NiO6 octahedra that share a cornercorner with one AgO6 octahedra, corners with three NiO6 octahedra, and corners with two NiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 15–19°. There are a spread of Ni–O bond distances ranging from 1.99–2.17 Å. In the eighth Ni+2.33+ site, Ni+2.33+ is bonded to six O2- atoms to form NiO6 octahedra that share a cornercorner with one AgO6 octahedra, corners with three NiO6 octahedra, and corners with two NiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 17–19°. There are a spread of Ni–O bond distances ranging from 1.99–2.19 Å. In the ninth Ni+2.33+ site, Ni+2.33+ is bonded to four O2- atoms to form NiO4 tetrahedra that share a cornercorner with one NiO6 octahedra, a cornercorner with one AgO6 octahedra, corners with two NiO4 tetrahedra, and corners with two SmO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 38–60°. There are a spread of Ni–O bond distances ranging from 1.91–2.07 Å. In the tenth Ni+2.33+ site, Ni+2.33+ is bonded to four O2- atoms to form NiO4 tetrahedra that share corners with two NiO6 octahedra and corners with two NiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 39–40°. There are a spread of Ni–O bond distances ranging from 1.96–2.03 Å. In the eleventh Ni+2.33+ site, Ni+2.33+ is bonded to four O2- atoms to form NiO4 tetrahedra that share a cornercorner with one NiO6 octahedra, a cornercorner with one AgO6 octahedra, corners with two NiO4 tetrahedra, a cornercorner with one LaO5 trigonal bipyramid, and corners with two SmO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 40–56°. There are a spread of Ni–O bond distances ranging from 1.94–2.07 Å. In the twelfth Ni+2.33+ site, Ni+2.33+ is bonded to four O2- atoms to form NiO4 tetrahedra that share a cornercorner with one NiO6 octahedra, a cornercorner with one AgO6 octahedra, corners with two NiO4 tetrahedra, and a cornercorner with one LaO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 37–57°. There are a spread of Ni–O bond distances ranging from 1.94–2.06 Å. In the thirteenth Ni+2.33+ site, Ni+2.33+ is bonded to four O2- atoms to form NiO4 tetrahedra that share a cornercorner with one NiO6 octahedra, a cornercorner with one AgO6 octahedra, corners with two NiO4 tetrahedra, a cornercorner with one SmO5 trigonal bipyramid, and a cornercorner with one LaO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 40–56°. There are a spread of Ni–O bond distances ranging from 1.95–2.06 Å. In the fourteenth Ni+2.33+ site, Ni+2.33+ is bonded to four O2- atoms to form NiO4 tetrahedra that share corners with two AgO6 octahedra and corners with two NiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 54–58°. There are a spread of Ni–O bond distances ranging from 1.93–2.10 Å. In the fifteenth Ni+2.33+ site, Ni+2.33+ is bonded to four O2- atoms to form NiO4 tetrahedr

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on NaLiMg30O31 by Materials Project

NaLiMg30O31 crystallizes in the orthorhombic Pmm2 space group. The structure is three-dimensional. Na1+ is bonded to six O2- atoms to form NaO6 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 Na–O bond distances ranging from 2.23–2.28 Å. Li1+ is bonded to six O2- atoms to form LiO6 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 Li–O bond distances ranging from 2.16–2.23 Å. There are sixteen inequivalent Mg2+ sites. In the first Mg2+ site, Mg2+ is bonded to five O2- atoms to form MgO5 square pyramids that share corners with two equivalent NaO6 octahedra, corners with two equivalent LiO6 octahedra, corners with five MgO5 square pyramids, and edges with eight MgO6 octahedra. The corner-sharing octahedra tilt angles range from 8–9°. There are a spread of Mg–O bond distances ranging from 1.97–2.07 Å. In the second Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with two equivalent NaO6 octahedra, corners with two equivalent LiO6 octahedra, corners with two equivalent MgO6 octahedra, and edges with twelve MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Mg–O bond distances ranging from 2.04–2.18 Å. In the third Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with two equivalent LiO6 octahedra, 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 octahedra tilt angles range from 0–1°. There are a spread of Mg–O bond distances ranging from 2.05–2.20 Å. In the fourth Mg2+ site, Mg2+ is bonded to five O2- atoms to form MgO5 square pyramids that share corners with four MgO6 octahedra, corners with five MgO5 square pyramids, and edges with eight MgO6 octahedra. The corner-sharing octahedral tilt angles are 8°. There are a spread of Mg–O bond distances ranging from 1.95–2.09 Å. In the fifth Mg2+ site, Mg2+ is bonded to six O2- 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 2.09–2.15 Å. In the sixth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with two equivalent NaO6 octahedra, 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 octahedra tilt angles range from 0–1°. There are a spread of Mg–O bond distances ranging from 2.01–2.21 Å. In the seventh Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, an edgeedge with one NaO6 octahedra, an edgeedge with one LiO6 octahedra, edges with seven MgO6 octahedra, and edges with three MgO5 square pyramids. The corner-sharing octahedra tilt angles range from 1–8°. There are a spread of Mg–O bond distances ranging from 2.12–2.17 Å. In the eighth 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 0–5°. There are a spread of Mg–O bond distances ranging from 2.12–2.14 Å. In the ninth Mg2+ site, Mg2+ is bonded to five O2- atoms to form MgO5 square pyramids that share corners with four MgO6 octahedra, corners with five MgO5 square pyramids, an edgeedge with one LiO6 octahedra, and edges with seven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 9–11°. There are a spread of Mg–O bond distances ranging from 1.94–2.14 Å. In the tenth 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 NaO6 octahedra, edges with nine MgO6 octahedra, and edges with two equivalent MgO5 square pyramids. The corner-sharing octahedra tilt angles range from 1–7°. There are a spread of Mg–O bond distances ranging from 2.10–2.18 Å. In the eleventh 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 LiO6 octahedra, edges with nine MgO6 octahedra, and edges with two MgO5 square pyramids. The corner-sharing octahedra tilt angles range from 3–6°. There are a spread of Mg–O bond distances ranging from 2.09–2.24 Å. In the twelfth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, an edgeedge with one NaO6 octahedra, and edges with eleven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 1–7°. There are a spread of Mg–O bond distances ranging from 2.13–2.17 Å. In the thirteenth 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 LiO6 octahedra, edges with nine MgO6 octahedra, and edges with two equivalent MgO5 square pyramids. The corner-sharing octahedra tilt angles range from 0–5°. There are a spread of Mg–O bond distances ranging from 2.09–2.19 Å. In the fourteenth Mg2+ site, Mg2+ is bonded to five O2- atoms to form MgO5 square pyramids that share corners with four MgO6 octahedra, corners with five MgO5 square pyramids, an edgeedge with one NaO6 octahedra, and edges with seven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 8–14°. There are a spread of Mg–O bond distances ranging from 1.95–2.12 Å. In the fifteenth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, an edgeedge with one LiO6 octahedra, and edges with eleven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–5°. There are a spread of Mg–O bond distances ranging from 2.11–2.18 Å. In the sixteenth 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 NaO6 octahedra, edges with nine MgO6 octahedra, and edges with two MgO5 square pyramids. The corner-sharing octahedra tilt angles range from 2–8°. There are a spread of Mg–O bond distances ranging from 2.11–2.22 Å. There are seventeen inequivalent O2- sites. In the first 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 octahedra tilt angles range from 0–4°. In the second O2- site, O2- is bonded to six Mg2+ atoms to form OMg6 octahedra that share corners with six OLiMg5 octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–5°. In the third O2- site, O2- is bonded to one Na1+ and five Mg2+ atoms to form a mixture of edge and corner-sharing ONaMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–5°. In the fourth O2- site, O2- is bonded to one Li1+ and five Mg2+ atoms to form OLiMg5 octahedra that share corners with six OLiMg5 octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–5°. In the fifth O2- site, O2- is bonded to six Mg2+ atoms to form OMg6 octahedra that share corners with four OLiMg5 octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedral tilt angles are 5°. 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 0–5°. In the seventh O2- site, O2- is bonded to one Na1+ and five Mg2+ atoms to form ONaMg5 octahedra that share corners with six ONaMg5 octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–5°. In the eighth O2- site, O2- is bonded to six Mg2+ atoms to form OMg6 octahedra that share corners with six OMg6 octahedra and edges with eleven OLiMg5 octahedra. The corner-sharing octahedra tilt angles range from 2–14°. In the ninth 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 2–4°. In the tenth O2- site, O2- is bonded to one Li1+ and five Mg2+ atoms to form OLiMg5 octahedra that share corners with six ONaMg5 octahedra and edges with eleven OLiMg5 octahedra. The corner-sharing octahedra tilt angles range from 2–15°. In the eleventh O2- site, O2- is bonded to one Na1+ and five Mg2+ atoms to form ONaMg5 octahedra that share corners with six ONaMg5 octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 1–2°. In the twelfth O2- site, O2- is bonded to six Mg2+ atoms to form OMg6 octahedra that share corners with six OMg6 octahedra and edges with eleven OLiMg5 octahedra. The corner-sharing octahedra tilt angles range from 2–15°. In the thirteenth O2- site, O2- is bonded to six Mg2+ atoms to form OMg6 octahedra that share corners with six ONaMg5 octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 1–2°. In the fourteenth O2- site, O2- is bonded to one Li1+ and five Mg2+ atoms to form OLiMg5 octahedra that share corners with six ONaMg5 octahedra and edges with twelve OLiMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the fifteenth O2- site, O2- is bonded to one Na1+ and five Mg2+ atoms to form a mixture of edge and corner-sharing ONaMg5 octahedra. The corner-sharing octahedra tilt angles range from 3–16°. In the sixteenth 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 0–3°. In the seventeenth 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 3–16°.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on YLuTh2(BRh)16 by Materials Project

Th2LuY(RhB)16 crystallizes in the orthorhombic Pmm2 space group. The structure is three-dimensional. there are two inequivalent Th sites. In the first Th site, Th is bonded in a 12-coordinate geometry to twelve Rh and twelve B atoms. There are a spread of Th–Rh bond distances ranging from 3.00–3.20 Å. There are a spread of Th–B bond distances ranging from 3.04–3.19 Å. In the second Th site, Th is bonded in a 12-coordinate geometry to twelve Rh and twelve B atoms. There are a spread of Th–Rh bond distances ranging from 3.00–3.21 Å. There are a spread of Th–B bond distances ranging from 3.04–3.20 Å. Lu is bonded in a 12-coordinate geometry to twelve Rh and twelve B atoms. There are a spread of Lu–Rh bond distances ranging from 2.94–3.19 Å. There are a spread of Lu–B bond distances ranging from 3.04–3.16 Å. Y is bonded in a 12-coordinate geometry to twelve Rh and twelve B atoms. There are a spread of Y–Rh bond distances ranging from 2.96–3.20 Å. There are a spread of Y–B bond distances ranging from 3.04–3.16 Å. There are eight inequivalent Rh sites. In the first Rh site, Rh is bonded in a 5-coordinate geometry to one Th, two equivalent Lu, and five B atoms. There are a spread of Rh–B bond distances ranging from 2.22–2.24 Å. In the second Rh site, Rh is bonded in a 5-coordinate geometry to two equivalent Th, one Y, and five B atoms. There are a spread of Rh–B bond distances ranging from 2.23–2.30 Å. In the third Rh site, Rh is bonded in a 5-coordinate geometry to two equivalent Lu, one Y, and five B atoms. There are two shorter (2.22 Å) and three longer (2.23 Å) Rh–B bond lengths. In the fourth Rh site, Rh is bonded in a 5-coordinate geometry to three Th and five B atoms. There are four shorter (2.24 Å) and one longer (2.28 Å) Rh–B bond lengths. In the fifth Rh site, Rh is bonded in a 5-coordinate geometry to two equivalent Th, one Lu, and five B atoms. There are four shorter (2.23 Å) and one longer (2.31 Å) Rh–B bond lengths. In the sixth Rh site, Rh is bonded in a 5-coordinate geometry to one Th, two equivalent Y, and five B atoms. There are a spread of Rh–B bond distances ranging from 2.22–2.25 Å. In the seventh Rh site, Rh is bonded in a 5-coordinate geometry to three Th and five B atoms. There are four shorter (2.24 Å) and one longer (2.28 Å) Rh–B bond lengths. In the eighth Rh site, Rh is bonded in a 5-coordinate geometry to one Lu, two equivalent Y, and five B atoms. There are four shorter (2.22 Å) and one longer (2.26 Å) Rh–B bond lengths. There are eight inequivalent B sites. In the first B site, B is bonded in a 6-coordinate geometry to one Th, two equivalent Lu, five Rh, and one B atom. The B–B bond length is 1.81 Å. In the second B site, B is bonded in a 6-coordinate geometry to two equivalent Th, one Y, five Rh, and one B atom. The B–B bond length is 1.79 Å. In the third B site, B is bonded in a 6-coordinate geometry to three Th, five Rh, and one B atom. The B–B bond length is 1.77 Å. In the fourth B site, B is bonded in a 6-coordinate geometry to one Lu, two equivalent Y, five Rh, and one B atom. The B–B bond length is 1.81 Å. In the fifth B site, B is bonded in a 6-coordinate geometry to two equivalent Th, one Lu, five Rh, and one B atom. The B–B bond length is 1.79 Å. In the sixth B site, B is bonded in a 6-coordinate geometry to one Th, two equivalent Y, five Rh, and one B atom. The B–B bond length is 1.81 Å. In the seventh B site, B is bonded in a 6-coordinate geometry to two equivalent Lu, one Y, five Rh, and one B atom. The B–B bond length is 1.81 Å. In the eighth B site, B is bonded in a 6-coordinate geometry to three Th, five Rh, and one B atom. The B–B bond length is 1.77 Å.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on KRbMg30O31 by Materials Project

RbKMg30O31 crystallizes in the orthorhombic Pmm2 space group. The structure is three-dimensional. Rb1+ is bonded to six O2- atoms to form RbO6 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 0–3°. There are a spread of Rb–O bond distances ranging from 2.39–2.48 Å. K1+ is bonded to six O2- atoms to form KO6 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 K–O bond distances ranging from 2.35–2.42 Å. There are sixteen inequivalent Mg2+ sites. In the first Mg2+ site, Mg2+ is bonded to five O2- atoms to form MgO5 square pyramids that share corners with two equivalent RbO6 octahedra, corners with two equivalent KO6 octahedra, corners with five MgO5 square pyramids, and edges with eight MgO6 octahedra. The corner-sharing octahedra tilt angles range from 11–15°. There are a spread of Mg–O bond distances ranging from 1.95–2.03 Å. In the second 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 KO6 octahedra, corners with two equivalent MgO6 octahedra, and edges with twelve MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. There are a spread of Mg–O bond distances ranging from 1.96–2.28 Å. In the third Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with two equivalent KO6 octahedra, 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 0°. There are a spread of Mg–O bond distances ranging from 1.95–2.28 Å. In the fourth Mg2+ site, Mg2+ is bonded to five O2- atoms to form MgO5 square pyramids that share corners with four MgO6 octahedra, corners with five MgO5 square pyramids, and edges with eight MgO6 octahedra. The corner-sharing octahedral tilt angles are 8°. There are a spread of Mg–O bond distances ranging from 1.98–2.11 Å. In the fifth Mg2+ site, Mg2+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are a spread of Mg–O bond distances ranging from 2.08–2.17 Å. In the sixth 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 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 1.90–2.28 Å. In the seventh 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, an edgeedge with one KO6 octahedra, edges with seven MgO6 octahedra, and edges with three MgO5 square pyramids. The corner-sharing octahedra tilt angles range from 2–14°. There are a spread of Mg–O bond distances ranging from 2.16–2.22 Å. In the eighth 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 1–6°. There are a spread of Mg–O bond distances ranging from 2.14–2.19 Å. In the ninth Mg2+ site, Mg2+ is bonded to five O2- atoms to form MgO5 square pyramids that share corners with four MgO6 octahedra, corners with five MgO5 square pyramids, an edgeedge with one KO6 octahedra, and edges with seven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 8–16°. There are a spread of Mg–O bond distances ranging from 2.00–2.16 Å. In the tenth 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 2–11°. There are a spread of Mg–O bond distances ranging from 2.11–2.27 Å. In the eleventh 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 KO6 octahedra, edges with nine MgO6 octahedra, and edges with two MgO5 square pyramids. The corner-sharing octahedra tilt angles range from 1–12°. There are a spread of Mg–O bond distances ranging from 2.16–2.28 Å. In the twelfth 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 2–14°. There are a spread of Mg–O bond distances ranging from 2.14–2.24 Å. In the thirteenth 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 KO6 octahedra, edges with nine MgO6 octahedra, and edges with two equivalent MgO5 square pyramids. The corner-sharing octahedra tilt angles range from 2–10°. There are a spread of Mg–O bond distances ranging from 2.12–2.25 Å. In the fourteenth Mg2+ site, Mg2+ is bonded to five O2- atoms to form MgO5 square pyramids that share corners with four MgO6 octahedra, corners with five MgO5 square pyramids, an edgeedge with one RbO6 octahedra, and edges with seven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 8–19°. There are a spread of Mg–O bond distances ranging from 2.00–2.17 Å. In the fifteenth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, an edgeedge with one KO6 octahedra, and edges with eleven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 2–12°. There are a spread of Mg–O bond distances ranging from 2.15–2.22 Å. In the sixteenth 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 MgO5 square pyramids. The corner-sharing octahedra tilt angles range from 1–13°. There are a spread of Mg–O bond distances ranging from 2.16–2.39 Å. There are seventeen inequivalent O2- sites. In the first O2- site, O2- is bonded to one K1+ and five Mg2+ atoms to form a mixture of edge and corner-sharing OKMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the second O2- site, O2- is bonded to six Mg2+ atoms to form OMg6 octahedra that share corners with six OKMg5 octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–8°. In the third O2- site, O2- is bonded to one Rb1+ and five Mg2+ atoms to form a mixture of distorted edge and corner-sharing ORbMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–8°. In the fourth O2- site, O2- is bonded to one K1+ and five Mg2+ atoms to form OKMg5 octahedra that share corners with six OKMg5 octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–8°. In the fifth O2- site, O2- is bonded to six Mg2+ atoms to form OMg6 octahedra that share corners with four OKMg5 octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 6–7°. 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 0–8°. In the seventh 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 0–8°. In the eighth O2- site, O2- is bonded to six Mg2+ atoms to form OMg6 octahedra that share corners with six OMg6 octahedra and edges with eleven OKMg5 octahedra. The corner-sharing octahedra tilt angles range from 2–12°. In the ninth O2- site, O2- is bonded to six Mg2+ atoms to form OMg6 octahedra that share corners with six OMg6 octahedra and edges with twelve OKMg5 octahedra. The corner-sharing octahedra tilt angles range from 2–4°. In the tenth O2- site, O2- is bonded to one K1+ and five Mg2+ atoms to form OKMg5 octahedra that share corners with six ORbMg5 octahedra and edges with eleven OKMg5 octahedra. The corner-sharing octahedra tilt angles range from 1–18°. In the eleventh 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 1–5°. In the twelfth O2- site, O2- is bonded to six Mg2+ atoms to form OMg6 octahedra that share corners with six OMg6 octahedra and edges with eleven OKMg5 octahedra. The corner-sharing octahedra tilt angles range from 2–18°. In the thirteenth 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 0–4°. In the fourteenth O2- site, O2- is bonded to one K1+ and five Mg2+ atoms to form OKMg5 octahedra that share corners with six ORbMg5 octahedra and edges with twelve OKMg5 octahedra. The corner-sharing octahedra tilt angles range from 2–3°. In the fifteenth O2- site, O2- is bonded to one Rb1+ and five Mg2+ atoms to form a mixture of distorted edge and corner-sharing ORbMg5 octahedra. The corner-sharing octahedra tilt angles range from 3–20°. In the sixteenth O2- site, O2- is bonded to six Mg2+ atoms to form OMg6 octahedra that share corners with six OMg6 octahedra and edges with twelve OKMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the seventeenth 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 3–20°.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on K5C4Br by Materials Project

K5C4Br is Caswellsilverite-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are ten inequivalent K1+ sites. In the first K1+ site, K1+ is bonded to five C1- and one Br1- atom to form a mixture of edge and corner-sharing KC5Br octahedra. The corner-sharing octahedra tilt angles range from 0–5°. There are a spread of K–C bond distances ranging from 3.01–3.19 Å. The K–Br bond length is 3.30 Å. In the second K1+ site, K1+ is bonded to five C1- and one Br1- atom to form a mixture of edge and corner-sharing KC5Br octahedra. The corner-sharing octahedra tilt angles range from 0–5°. There are a spread of K–C bond distances ranging from 3.01–3.18 Å. The K–Br bond length is 3.29 Å. In the third K1+ site, K1+ is bonded to five C1- and one Br1- atom to form a mixture of edge and corner-sharing KC5Br octahedra. The corner-sharing octahedra tilt angles range from 0–5°. There are a spread of K–C bond distances ranging from 3.01–3.20 Å. The K–Br bond length is 3.28 Å. In the fourth K1+ site, K1+ is bonded to five C1- and one Br1- atom to form a mixture of edge and corner-sharing KC5Br octahedra. The corner-sharing octahedra tilt angles range from 0–5°. There are a spread of K–C bond distances ranging from 3.02–3.18 Å. The K–Br bond length is 3.26 Å. In the fifth K1+ site, K1+ is bonded to four C1- and two Br1- atoms to form a mixture of edge and corner-sharing KC4Br2 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. There are a spread of K–C bond distances ranging from 3.15–3.18 Å. Both K–Br bond lengths are 3.17 Å. In the sixth K1+ site, K1+ is bonded to five C1- and one Br1- atom to form a mixture of edge and corner-sharing KC5Br octahedra. The corner-sharing octahedra tilt angles range from 0–5°. There are a spread of K–C bond distances ranging from 3.02–3.17 Å. The K–Br bond length is 3.30 Å. In the seventh K1+ site, K1+ is bonded to five C1- and one Br1- atom to form a mixture of edge and corner-sharing KC5Br octahedra. The corner-sharing octahedra tilt angles range from 0–5°. There are a spread of K–C bond distances ranging from 3.02–3.19 Å. The K–Br bond length is 3.28 Å. In the eighth K1+ site, K1+ is bonded to five C1- and one Br1- atom to form a mixture of edge and corner-sharing KC5Br octahedra. The corner-sharing octahedra tilt angles range from 0–5°. There are a spread of K–C bond distances ranging from 3.01–3.17 Å. The K–Br bond length is 3.28 Å. In the ninth K1+ site, K1+ is bonded to five C1- and one Br1- atom to form a mixture of edge and corner-sharing KC5Br octahedra. The corner-sharing octahedra tilt angles range from 0–5°. There are a spread of K–C bond distances ranging from 3.01–3.17 Å. The K–Br bond length is 3.27 Å. In the tenth K1+ site, K1+ is bonded to four C1- and two Br1- atoms to form a mixture of edge and corner-sharing KC4Br2 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. There are a spread of K–C bond distances ranging from 3.15–3.18 Å. Both K–Br bond lengths are 3.17 Å. There are eight inequivalent C1- sites. In the first C1- site, C1- is bonded to six K1+ atoms to form CK6 octahedra that share a cornercorner with one BrK6 octahedra, corners with five CK6 octahedra, edges with three BrK6 octahedra, and edges with nine CK6 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. In the second C1- site, C1- is bonded to six K1+ atoms to form CK6 octahedra that share a cornercorner with one BrK6 octahedra, corners with five CK6 octahedra, edges with three BrK6 octahedra, and edges with nine CK6 octahedra. The corner-sharing octahedra tilt angles range from 1–7°. In the third C1- site, C1- is bonded to six K1+ atoms to form CK6 octahedra that share a cornercorner with one BrK6 octahedra, corners with five CK6 octahedra, edges with three BrK6 octahedra, and edges with nine CK6 octahedra. The corner-sharing octahedra tilt angles range from 1–6°. In the fourth C1- site, C1- is bonded to six K1+ atoms to form CK6 octahedra that share a cornercorner with one BrK6 octahedra, corners with five CK6 octahedra, edges with three BrK6 octahedra, and edges with nine CK6 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the fifth C1- site, C1- is bonded to six K1+ atoms to form CK6 octahedra that share a cornercorner with one BrK6 octahedra, corners with five CK6 octahedra, edges with three BrK6 octahedra, and edges with nine CK6 octahedra. The corner-sharing octahedra tilt angles range from 1–7°. In the sixth C1- site, C1- is bonded to six K1+ atoms to form CK6 octahedra that share a cornercorner with one BrK6 octahedra, corners with five CK6 octahedra, edges with three BrK6 octahedra, and edges with nine CK6 octahedra. The corner-sharing octahedra tilt angles range from 1–6°. In the seventh C1- site, C1- is bonded to six K1+ atoms to form CK6 octahedra that share a cornercorner with one BrK6 octahedra, corners with five CK6 octahedra, edges with three BrK6 octahedra, and edges with nine CK6 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. In the eighth C1- site, C1- is bonded to six K1+ atoms to form CK6 octahedra that share a cornercorner with one BrK6 octahedra, corners with five CK6 octahedra, edges with three BrK6 octahedra, and edges with nine CK6 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. There are two inequivalent Br1- sites. In the first Br1- site, Br1- is bonded to six K1+ atoms to form BrK6 octahedra that share corners with two equivalent BrK6 octahedra, corners with four CK6 octahedra, and edges with twelve CK6 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the second Br1- site, Br1- is bonded to six K1+ atoms to form BrK6 octahedra that share corners with two equivalent BrK6 octahedra, corners with four CK6 octahedra, and edges with twelve CK6 octahedra. The corner-sharing octahedra tilt angles range from 0–3°.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on KLiMg30O31 by Materials Project

KLiMg30O31 crystallizes in the orthorhombic Pmm2 space group. The structure is three-dimensional. K1+ is bonded to six O2- atoms to form KO6 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 K–O bond distances ranging from 2.33–2.38 Å. Li1+ is bonded to six O2- atoms to form LiO6 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 Li–O bond distances ranging from 2.15–2.26 Å. There are sixteen inequivalent Mg2+ sites. In the first Mg2+ site, Mg2+ is bonded to five O2- atoms to form MgO5 square pyramids that share corners with two equivalent KO6 octahedra, corners with two equivalent LiO6 octahedra, corners with five MgO5 square pyramids, and edges with eight MgO6 octahedra. The corner-sharing octahedra tilt angles range from 8–13°. There are a spread of Mg–O bond distances ranging from 1.94–2.12 Å. In the second Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with two equivalent KO6 octahedra, corners with two equivalent LiO6 octahedra, corners with two equivalent MgO6 octahedra, and edges with twelve MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Mg–O bond distances ranging from 1.96–2.21 Å. In the third Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with two equivalent KO6 octahedra, 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 octahedra tilt angles range from 0–1°. There are a spread of Mg–O bond distances ranging from 1.93–2.24 Å. In the fourth Mg2+ site, Mg2+ is bonded to five O2- atoms to form MgO5 square pyramids that share corners with four MgO6 octahedra, corners with five MgO5 square pyramids, and edges with eight MgO6 octahedra. The corner-sharing octahedral tilt angles are 8°. There are a spread of Mg–O bond distances ranging from 1.96–2.11 Å. In the fifth Mg2+ site, Mg2+ is bonded to six O2- 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 2.09–2.16 Å. In the sixth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with two equivalent LiO6 octahedra, 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 octahedra tilt angles range from 0–1°. There are a spread of Mg–O bond distances ranging from 2.06–2.22 Å. In the seventh Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, an edgeedge with one KO6 octahedra, an edgeedge with one LiO6 octahedra, edges with seven MgO6 octahedra, and edges with three MgO5 square pyramids. The corner-sharing octahedra tilt angles range from 2–12°. There are a spread of Mg–O bond distances ranging from 2.11–2.22 Å. In the eighth 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 0–5°. There are a spread of Mg–O bond distances ranging from 2.13–2.17 Å. In the ninth Mg2+ site, Mg2+ is bonded to five O2- atoms to form MgO5 square pyramids that share corners with four MgO6 octahedra, corners with five MgO5 square pyramids, an edgeedge with one KO6 octahedra, and edges with seven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 7–18°. There are a spread of Mg–O bond distances ranging from 1.98–2.13 Å. In the tenth 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 LiO6 octahedra, edges with nine MgO6 octahedra, and edges with two equivalent MgO5 square pyramids. The corner-sharing octahedra tilt angles range from 0–6°. There are a spread of Mg–O bond distances ranging from 2.11–2.20 Å. In the eleventh 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 KO6 octahedra, edges with nine MgO6 octahedra, and edges with two MgO5 square pyramids. The corner-sharing octahedra tilt angles range from 0–11°. There are a spread of Mg–O bond distances ranging from 2.13–2.29 Å. In the twelfth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, an edgeedge with one LiO6 octahedra, and edges with eleven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. There are a spread of Mg–O bond distances ranging from 2.12–2.19 Å. In the thirteenth 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 KO6 octahedra, edges with nine MgO6 octahedra, 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 2.11–2.22 Å. In the fourteenth Mg2+ site, Mg2+ is bonded to five O2- atoms to form MgO5 square pyramids that share corners with four MgO6 octahedra, corners with five MgO5 square pyramids, an edgeedge with one LiO6 octahedra, and edges with seven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 9–10°. There are a spread of Mg–O bond distances ranging from 1.95–2.16 Å. In the fifteenth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, an edgeedge with one KO6 octahedra, and edges with eleven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 1–11°. There are a spread of Mg–O bond distances ranging from 2.13–2.20 Å. In the sixteenth 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 LiO6 octahedra, edges with nine MgO6 octahedra, and edges with two MgO5 square pyramids. The corner-sharing octahedra tilt angles range from 3–7°. There are a spread of Mg–O bond distances ranging from 2.10–2.26 Å. There are seventeen inequivalent O2- sites. In the first O2- site, O2- is bonded to one K1+ and five Mg2+ atoms to form a mixture of edge and corner-sharing OKMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the second O2- site, O2- is bonded to six Mg2+ atoms to form OMg6 octahedra that share corners with six OKMg5 octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. 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 octahedra tilt angles range from 0–5°. In the fourth O2- site, O2- is bonded to one K1+ and five Mg2+ atoms to form OKMg5 octahedra that share corners with six OKMg5 octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the fifth O2- site, O2- is bonded to six Mg2+ atoms to form OMg6 octahedra that share corners with four OKMg5 octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 5–6°. 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 0–7°. In the seventh O2- site, O2- is bonded to one Li1+ and five Mg2+ atoms to form OLiMg5 octahedra that share corners with six OLiMg5 octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–5°. In the eighth O2- site, O2- is bonded to six Mg2+ atoms to form OMg6 octahedra that share corners with six OMg6 octahedra and edges with eleven OKMg5 octahedra. The corner-sharing octahedra tilt angles range from 2–14°. In the ninth O2- site, O2- is bonded to six Mg2+ atoms to form OMg6 octahedra that share corners with six OMg6 octahedra and edges with twelve OKMg5 octahedra. The corner-sharing octahedra tilt angles range from 2–5°. In the tenth O2- site, O2- is bonded to one K1+ and five Mg2+ atoms to form distorted OKMg5 octahedra that share corners with six OLiMg5 octahedra and edges with eleven OKMg5 octahedra. The corner-sharing octahedra tilt angles range from 5–19°. In the eleventh O2- site, O2- is bonded to one Li1+ and five Mg2+ atoms to form OLiMg5 octahedra that share corners with six OLiMg5 octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 1–5°. In the twelfth O2- site, O2- is bonded to six Mg2+ atoms to form OMg6 octahedra that share corners with six OMg6 octahedra and edges with eleven OKMg5 octahedra. The corner-sharing octahedra tilt angles range from 3–19°. In the thirteenth O2- site, O2- is bonded to six Mg2+ atoms to form OMg6 octahedra that share corners with six OLiMg5 octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 1–3°. In the fourteenth O2- site, O2- is bonded to one K1+ and five Mg2+ atoms to form OKMg5 octahedra that share corners with six OLiMg5 octahedra and edges with twelve OKMg5 octahedra. The corner-sharing octahedra tilt angles range from 1–4°. In the fifteenth 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 octahedra tilt angles range from 1–14°. In the sixteenth O2- site, O2- is bonded to six Mg2+ atoms to form OMg6 octahedra that share corners with six OMg6 octahedra and edges with twelve OKMg5 octahedra. The corner-sharing octahedra tilt angles range from 1–4°. In the seventeenth 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°.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on RbMg14BO15 by Materials Project

RbMg14BO15 crystallizes in the orthorhombic Pmm2 space group. The structure is three-dimensional. Rb is bonded in a 3-coordinate geometry to five O atoms. There are a spread of Rb–O bond distances ranging from 2.38–2.82 Å. 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 MgO5 square pyramids, edges with two equivalent MgO6 octahedra, edges with four equivalent MgO5 square pyramids, and edges with six MgO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 3°. There are a spread of Mg–O bond distances ranging from 2.02–2.16 Å. In the second Mg site, Mg is bonded to five O atoms to form MgO5 square pyramids that share corners with two equivalent MgO6 octahedra, corners with two equivalent MgO5 square pyramids, corners with four MgO5 trigonal bipyramids, edges with four equivalent MgO5 square pyramids, and edges with two equivalent MgO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 4°. There are a spread of Mg–O bond distances ranging from 2.00–2.18 Å. In the third Mg site, Mg is bonded to six O atoms to form distorted MgO6 octahedra that share corners with four equivalent MgO6 octahedra, a cornercorner with one MgO5 square pyramid, corners with three MgO5 trigonal bipyramids, an edgeedge with one MgO6 octahedra, and edges with three MgO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 4–32°. There are a spread of Mg–O bond distances ranging from 1.99–2.53 Å. In the fourth Mg site, Mg is bonded to five O atoms to form MgO5 square pyramids that share a cornercorner with one MgO6 octahedra, corners with four equivalent MgO5 square pyramids, corners with three MgO5 trigonal bipyramids, edges with three MgO6 octahedra, edges with two equivalent MgO5 square pyramids, and edges with two equivalent MgO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 1°. There are a spread of Mg–O bond distances ranging from 1.99–2.16 Å. In the fifth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with two equivalent MgO6 octahedra, a cornercorner with one MgO5 trigonal bipyramid, edges with four MgO6 octahedra, edges with two equivalent MgO5 square pyramids, and edges with four equivalent MgO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 10°. There are a spread of Mg–O bond distances ranging from 1.94–2.27 Å. In the sixth Mg site, Mg is bonded in a distorted square co-planar geometry to four O atoms. There are a spread of Mg–O bond distances ranging from 2.01–2.21 Å. In the seventh Mg site, Mg is bonded to five O atoms to form MgO5 trigonal bipyramids that share corners with three MgO6 octahedra, corners with two equivalent MgO5 square pyramids, corners with four MgO5 trigonal bipyramids, edges with two equivalent MgO6 octahedra, and edges with four equivalent MgO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 0–70°. There are a spread of Mg–O bond distances ranging from 2.07–2.16 Å. In the eighth Mg site, Mg is bonded to five O atoms to form MgO5 trigonal bipyramids that share corners with two equivalent MgO5 square pyramids, corners with four MgO5 trigonal bipyramids, edges with two equivalent MgO6 octahedra, and edges with four equivalent MgO5 trigonal bipyramids. There are a spread of Mg–O bond distances ranging from 2.12–2.28 Å. In the ninth Mg site, Mg is bonded to five O atoms to form distorted MgO5 trigonal bipyramids that share a cornercorner with one MgO5 square pyramid, corners with four MgO5 trigonal bipyramids, edges with five MgO6 octahedra, and edges with two equivalent MgO5 square pyramids. There are a spread of Mg–O bond distances ranging from 2.03–2.28 Å. In the tenth Mg site, Mg is bonded to five O atoms to form MgO5 trigonal bipyramids that share corners with two equivalent MgO6 octahedra, corners with two equivalent MgO5 square pyramids, corners with five MgO5 trigonal bipyramids, an edgeedge with one MgO6 octahedra, an edgeedge with one MgO5 square pyramid, and edges with four MgO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 77°. There are a spread of Mg–O bond distances ranging from 2.00–2.22 Å. B is bonded in a bent 150 degrees geometry to two equivalent O atoms. Both B–O bond lengths are 1.45 Å. There are eleven inequivalent O sites. In the first O site, O is bonded to five Mg atoms to form distorted OMg5 square pyramids that share a cornercorner with one ORbMg5 octahedra, corners with two equivalent OMg5 square pyramids, corners with two equivalent ORb2Mg3 trigonal bipyramids, and edges with eight OMg6 octahedra. The corner-sharing octahedral tilt angles are 0°. In the second O site, O is bonded to one Rb and five Mg atoms to form ORbMg5 octahedra that share corners with two equivalent ORbMg5 octahedra, a cornercorner with one OMg5 square pyramid, corners with four OMg5 trigonal bipyramids, edges with four OMg6 octahedra, and edges with four equivalent OMg5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 6°. In the third O site, O is bonded to five Mg atoms to form OMg5 trigonal bipyramids that share corners with two equivalent ORbMg5 octahedra, corners with two equivalent OMg5 square pyramids, corners with two equivalent OMg5 trigonal bipyramids, edges with two equivalent OMg6 octahedra, and edges with four equivalent OMg5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 4°. In the fourth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with four equivalent OMg6 octahedra, a cornercorner with one OMg5 trigonal bipyramid, edges with three OMg6 octahedra, edges with three OMg5 square pyramids, and an edgeedge with one ORb2Mg3 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 1–5°. In the fifth O site, O is bonded to five Mg atoms to form distorted OMg5 trigonal bipyramids that share corners with four OMg6 octahedra, corners with five OMg5 trigonal bipyramids, edges with two equivalent ORbMg5 octahedra, and edges with two equivalent OMg5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 3–76°. In the sixth O site, O is bonded to two equivalent Rb and three Mg atoms to form ORb2Mg3 trigonal bipyramids that share corners with three ORbMg5 octahedra, corners with two equivalent OMg5 square pyramids, corners with four OMg5 trigonal bipyramids, and edges with two equivalent OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–65°. In the seventh O site, O is bonded in a distorted square co-planar geometry to four Mg atoms. In the eighth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with two equivalent OMg6 octahedra, corners with two equivalent OMg5 square pyramids, corners with three OMg5 trigonal bipyramids, edges with eight ORbMg5 octahedra, and edges with two equivalent OMg5 square pyramids. The corner-sharing octahedral tilt angles are 3°. In the ninth O site, O is bonded to five Mg atoms to form OMg5 square pyramids that share corners with two equivalent OMg6 octahedra, corners with two equivalent OMg5 square pyramids, corners with two equivalent OMg5 trigonal bipyramids, and edges with six OMg6 octahedra. The corner-sharing octahedral tilt angles are 5°. In the tenth O site, O is bonded in a 1-coordinate geometry to one Rb, three 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 equivalent OMg6 octahedra, corners with two equivalent OMg5 trigonal bipyramids, edges with five ORbMg5 octahedra, edges with three OMg5 square pyramids, and an edgeedge with one OMg5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 3–11°.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Li7Mn4(P2O7)4 by Materials Project

Li7Mn4(P2O7)4 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are fourteen 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 1.98–2.32 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four PO4 tetrahedra, a cornercorner with one MnO5 trigonal bipyramid, and an edgeedge with one MnO6 octahedra. There are a spread of Li–O bond distances ranging from 1.95–2.14 Å. In the third 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 1.85–2.01 Å. In the fourth Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.96–2.48 Å. In the fifth 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 is one shorter (1.92 Å) and three longer (1.95 Å) Li–O bond length. 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 1.91–2.76 Å. In the seventh 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 1.95–2.30 Å. In the eighth Li1+ site, Li1+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.87–2.28 Å. In the ninth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four PO4 tetrahedra, corners with two LiO5 trigonal bipyramids, and an edgeedge with one LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.92–2.00 Å. In the tenth 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, a cornercorner with one MnO5 trigonal bipyramid, and an edgeedge with one MnO6 octahedra. There are a spread of Li–O bond distances ranging from 1.98–2.40 Å. In the eleventh 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, an edgeedge with one MnO6 octahedra, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.97–2.41 Å. In the twelfth 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, corners with two LiO5 trigonal bipyramids, and an edgeedge with one LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.92–2.01 Å. In the thirteenth Li1+ site, Li1+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.90–2.24 Å. In the fourteenth 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 1.98–2.37 Å. There are eight inequivalent Mn+2.25+ sites. In the first Mn+2.25+ site, Mn+2.25+ 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 2.12–2.25 Å. In the second Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form distorted MnO5 trigonal bipyramids that share corners with two 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 1.98–2.20 Å. In the third Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form distorted 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 2.09–2.25 Å. In the fourth Mn+2.25+ site, Mn+2.25+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with six PO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Mn–O bond distances ranging from 1.97–2.33 Å. In the fifth Mn+2.25+ site, Mn+2.25+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one LiO5 trigonal bipyramid. There are a spread of Mn–O bond distances ranging from 2.15–2.33 Å. In the sixth Mn+2.25+ site, Mn+2.25+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Mn–O bond distances ranging from 2.13–2.28 Å. In the seventh Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form distorted MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, corners with five PO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, 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 2.17–2.24 Å. In the eighth Mn+2.25+ site, Mn+2.25+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra, an edgeedge with one LiO5 trigonal bipyramid, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Mn–O bond distances ranging from 2.15–2.34 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 LiO4 tetrahedra, 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 55°. There are a spread of P–O bond distances ranging from 1.52–1.61 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 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 38°. There are a spread of P–O bond distances ranging from 1.51–1.64 Å. In the third 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 corners with two MnO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 58°. There are a spread of P–O bond distances ranging from 1.52–1.61 Å. In the fourth 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 31–56°. 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, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 32–56°. 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 PO4 tetrahedra, corners with three LiO4 tetrahedra, and a cornercorner with one MnO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 58°. There are a spread of P–O bond distances ranging from 1.51–1.62 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 58°. There are a spread of P–O bond distances ranging from 1.50–1.62 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 36°. There are a spread of P–O bond distances ranging from 1.51–1.63 Å. In the ninth 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, and corners with two LiO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 41°. There are a spread of P–O bond distances ranging from 1.51–1.62 Å. In the tenth 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 corners with two MnO5 trigonal bipyramids. 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 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, and corners with two MnO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 55°. There are a spread of P–O bond distances ranging from 1.51–1.62 Å. In the twelfth 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 36–48°. 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 and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 32–56°. There are a spread of P–O bond distances ranging from 1.52–1.62 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 58°. There are a spread of P–O bond distances ranging from 1.51–1.62 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 corners with two LiO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 40°. There are a spread of P–O bond distances ranging from 1.49–1.65 Å. In the sixteenth 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 corners with two MnO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 50°. There are a spread of P–O bond distances ranging from 1.52–1.60 Å. There are fifty-six inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Li1+ and one P5+ atom. In the second O2- site

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Na15Cr7N19 by Materials Project

Na15Cr7N19 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are sixteen inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six N3- atoms. There are a spread of Na–N bond distances ranging from 2.52–2.94 Å. In the second Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six N3- atoms. There are a spread of Na–N bond distances ranging from 2.38–2.92 Å. In the third Na1+ site, Na1+ is bonded in a 5-coordinate geometry to five N3- atoms. There are a spread of Na–N bond distances ranging from 2.48–2.81 Å. In the fourth Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six N3- atoms. There are a spread of Na–N bond distances ranging from 2.36–3.02 Å. In the fifth Na1+ site, Na1+ is bonded in a 5-coordinate geometry to five N3- atoms. There are a spread of Na–N bond distances ranging from 2.40–2.61 Å. In the sixth Na1+ site, Na1+ is bonded in a 5-coordinate geometry to five N3- atoms. There are a spread of Na–N bond distances ranging from 2.38–2.88 Å. In the seventh Na1+ site, Na1+ is bonded in a 5-coordinate geometry to five N3- atoms. There are a spread of Na–N bond distances ranging from 2.38–2.70 Å. In the eighth Na1+ site, Na1+ is bonded in a 5-coordinate geometry to five N3- atoms. There are a spread of Na–N bond distances ranging from 2.41–2.74 Å. In the ninth Na1+ site, Na1+ is bonded in a 5-coordinate geometry to five N3- atoms. There are a spread of Na–N bond distances ranging from 2.42–2.87 Å. In the tenth Na1+ site, Na1+ is bonded in a 4-coordinate geometry to four N3- atoms. There are a spread of Na–N bond distances ranging from 2.50–2.59 Å. In the eleventh Na1+ site, Na1+ is bonded in a distorted rectangular see-saw-like geometry to four N3- atoms. There are a spread of Na–N bond distances ranging from 2.38–2.65 Å. In the twelfth Na1+ site, Na1+ is bonded in a 5-coordinate geometry to five N3- atoms. There are a spread of Na–N bond distances ranging from 2.45–2.98 Å. In the thirteenth Na1+ site, Na1+ is bonded in a 3-coordinate geometry to three N3- atoms. There are a spread of Na–N bond distances ranging from 2.40–2.48 Å. In the fourteenth Na1+ site, Na1+ is bonded in a 4-coordinate geometry to six N3- atoms. There are a spread of Na–N bond distances ranging from 2.36–3.07 Å. In the fifteenth Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six N3- atoms. There are a spread of Na–N bond distances ranging from 2.33–3.07 Å. In the sixteenth Na1+ site, Na1+ is bonded in a 8-coordinate geometry to eight N3- atoms. There are a spread of Na–N bond distances ranging from 2.55–3.12 Å. There are seven inequivalent Cr6+ sites. In the first Cr6+ site, Cr6+ is bonded to four N3- atoms to form corner-sharing CrN4 tetrahedra. There is one shorter (1.66 Å) and three longer (1.78 Å) Cr–N bond length. In the second Cr6+ site, Cr6+ is bonded to four N3- atoms to form corner-sharing CrN4 tetrahedra. There are a spread of Cr–N bond distances ranging from 1.66–1.82 Å. In the third Cr6+ site, Cr6+ is bonded to four N3- atoms to form corner-sharing CrN4 tetrahedra. There are a spread of Cr–N bond distances ranging from 1.67–1.82 Å. In the fourth Cr6+ site, Cr6+ is bonded to four N3- atoms to form corner-sharing CrN4 tetrahedra. There are a spread of Cr–N bond distances ranging from 1.67–1.85 Å. In the fifth Cr6+ site, Cr6+ is bonded to four N3- atoms to form corner-sharing CrN4 tetrahedra. There are a spread of Cr–N bond distances ranging from 1.65–1.82 Å. In the sixth Cr6+ site, Cr6+ is bonded to four N3- atoms to form corner-sharing CrN4 tetrahedra. There are a spread of Cr–N bond distances ranging from 1.68–1.84 Å. In the seventh Cr6+ site, Cr6+ is bonded to four N3- atoms to form corner-sharing CrN4 tetrahedra. There are a spread of Cr–N bond distances ranging from 1.68–1.85 Å. There are nineteen inequivalent N3- sites. In the first N3- site, N3- is bonded in a 6-coordinate geometry to five Na1+ and one Cr6+ atom. In the second N3- site, N3- is bonded in a 2-coordinate geometry to four Na1+ and two Cr6+ atoms. In the third N3- site, N3- is bonded in a 1-coordinate geometry to five Na1+ and one Cr6+ atom. In the fourth N3- site, N3- is bonded in a 5-coordinate geometry to three Na1+ and two Cr6+ atoms. In the fifth N3- site, N3- is bonded in a 2-coordinate geometry to three Na1+ and two Cr6+ atoms. In the sixth N3- site, N3- is bonded in a 1-coordinate geometry to five Na1+ and one Cr6+ atom. In the seventh N3- site, N3- is bonded in a 1-coordinate geometry to five Na1+ and one Cr6+ atom. In the eighth N3- site, N3- is bonded in a 5-coordinate geometry to three Na1+ and two Cr6+ atoms. In the ninth N3- site, N3- is bonded in a 1-coordinate geometry to five Na1+ and one Cr6+ atom. In the tenth N3- site, N3- is bonded in a distorted octahedral geometry to five Na1+ and one Cr6+ atom. In the eleventh N3- site, N3- is bonded in a 2-coordinate geometry to three Na1+ and two Cr6+ atoms. In the twelfth N3- site, N3- is bonded in a 1-coordinate geometry to five Na1+ and one Cr6+ atom. In the thirteenth N3- site, N3- is bonded in a 2-coordinate geometry to three Na1+ and two Cr6+ atoms. In the fourteenth N3- site, N3- is bonded in a 6-coordinate geometry to four Na1+ and two Cr6+ atoms. In the fifteenth N3- site, N3- is bonded in a 1-coordinate geometry to five Na1+ and one Cr6+ atom. In the sixteenth N3- site, N3- is bonded in a 2-coordinate geometry to four Na1+ and two Cr6+ atoms. In the seventeenth N3- site, N3- is bonded in a 2-coordinate geometry to one Na1+ and two Cr6+ atoms. In the eighteenth N3- site, N3- is bonded in a 1-coordinate geometry to five Na1+ and one Cr6+ atom. In the nineteenth N3- site, N3- is bonded in a 5-coordinate geometry to four Na1+ and one Cr6+ atom.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Zr5N5O2 by Materials Project

Zr5N5O2 crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are five inequivalent Zr+3.80+ sites. In the first Zr+3.80+ site, Zr+3.80+ is bonded to five N3- and one O2- atom to form ZrN5O octahedra that share corners with three ZrN5O octahedra, corners with four equivalent ZrN5O2 pentagonal bipyramids, edges with five ZrN5O octahedra, and an edgeedge with one ZrN5O2 pentagonal bipyramid. The corner-sharing octahedra tilt angles range from 2–59°. There are two shorter (2.20 Å) and three longer (2.25 Å) Zr–N bond lengths. The Zr–O bond length is 2.20 Å. In the second Zr+3.80+ site, Zr+3.80+ is bonded in a 7-coordinate geometry to five N3- and two equivalent O2- atoms. There are a spread of Zr–N bond distances ranging from 2.30–2.45 Å. Both Zr–O bond lengths are 2.25 Å. In the third Zr+3.80+ site, Zr+3.80+ is bonded to five N3- and two equivalent O2- atoms to form distorted ZrN5O2 pentagonal bipyramids that share corners with eight ZrN5O octahedra, edges with four ZrN5O octahedra, and faces with two equivalent ZrN5O2 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 21–70°. There are a spread of Zr–N bond distances ranging from 2.29–2.43 Å. Both Zr–O bond lengths are 2.26 Å. In the fourth Zr+3.80+ site, Zr+3.80+ is bonded to five N3- and one O2- atom to form ZrN5O octahedra that share corners with three ZrN5O octahedra, corners with two equivalent ZrN5O2 pentagonal bipyramids, and edges with five ZrN5O octahedra. The corner-sharing octahedra tilt angles range from 2–59°. There are a spread of Zr–N bond distances ranging from 2.20–2.25 Å. The Zr–O bond length is 2.19 Å. In the fifth Zr+3.80+ site, Zr+3.80+ is bonded to four N3- and two O2- atoms to form ZrN4O2 octahedra that share corners with two ZrN5O octahedra, corners with two equivalent ZrN5O2 pentagonal bipyramids, edges with two equivalent ZrN4O2 octahedra, and edges with three equivalent ZrN5O2 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 59°. All Zr–N bond lengths are 2.24 Å. Both Zr–O bond lengths are 2.15 Å. There are five inequivalent N3- sites. In the first N3- site, N3- is bonded in a rectangular see-saw-like geometry to four Zr+3.80+ atoms. In the second N3- site, N3- is bonded to five Zr+3.80+ atoms to form distorted NZr5 trigonal bipyramids that share corners with four equivalent OZr4 tetrahedra, corners with six NZr5 trigonal bipyramids, edges with three OZr4 tetrahedra, and edges with six NZr5 trigonal bipyramids. In the third N3- site, N3- is bonded to five Zr+3.80+ atoms to form distorted NZr5 trigonal bipyramids that share corners with five OZr4 tetrahedra, corners with four NZr5 trigonal bipyramids, an edgeedge with one OZr4 tetrahedra, and edges with five NZr5 trigonal bipyramids. In the fourth N3- site, N3- is bonded to five Zr+3.80+ atoms to form distorted NZr5 trigonal bipyramids that share corners with five OZr4 tetrahedra, corners with four NZr5 trigonal bipyramids, an edgeedge with one OZr4 tetrahedra, and edges with five NZr5 trigonal bipyramids. In the fifth N3- site, N3- is bonded to five Zr+3.80+ atoms to form distorted NZr5 trigonal bipyramids that share corners with four equivalent OZr4 tetrahedra, corners with six NZr5 trigonal bipyramids, edges with three OZr4 tetrahedra, and edges with six NZr5 trigonal bipyramids. There are two inequivalent O2- sites. In the first O2- site, O2- is bonded to four Zr+3.80+ atoms to form distorted OZr4 tetrahedra that share corners with three OZr4 tetrahedra, corners with nine NZr5 trigonal bipyramids, and edges with four NZr5 trigonal bipyramids. In the second O2- site, O2- is bonded to four Zr+3.80+ atoms to form distorted OZr4 tetrahedra that share corners with three OZr4 tetrahedra, corners with nine NZr5 trigonal bipyramids, and edges with four NZr5 trigonal bipyramids.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Li7Fe4(P2O7)4 by Materials Project

Li7Fe4(P2O7)4 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are fourteen 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 1.93–2.28 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 LiO5 trigonal bipyramid, a cornercorner with one FeO5 trigonal bipyramid, and an edgeedge with one LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.90–1.97 Å. In the third 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 1.96–2.54 Å. In the fourth 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, a cornercorner with one FeO5 trigonal bipyramid, an edgeedge with one FeO6 octahedra, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.97–2.42 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four PO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, a cornercorner with one FeO5 trigonal bipyramid, and an edgeedge with one LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.89–1.97 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 trigonal pyramids that share corners with four PO4 tetrahedra, a cornercorner with one FeO5 trigonal bipyramid, and an edgeedge with one FeO6 octahedra. There are a spread of Li–O bond distances ranging from 1.91–2.23 Å. In the seventh 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 1.94–2.29 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 1.94–2.34 Å. In the ninth Li1+ site, Li1+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.90–2.20 Å. In the tenth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four PO4 tetrahedra, a cornercorner with one FeO5 trigonal bipyramid, and an edgeedge with one LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.92–1.98 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 2.00–2.48 Å. In the twelfth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four PO4 tetrahedra and an edgeedge with one LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.84–2.00 Å. In the thirteenth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.86–2.76 Å. In the fourteenth 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 1.89–2.37 Å. There are eight inequivalent Fe+2.25+ sites. In the first Fe+2.25+ site, Fe+2.25+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six PO4 tetrahedra, an edgeedge with one FeO5 trigonal bipyramid, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Fe–O bond distances ranging from 2.09–2.32 Å. In the second Fe+2.25+ site, Fe+2.25+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, corners with five PO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, and an edgeedge with one FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.09–2.25 Å. In the third Fe+2.25+ site, Fe+2.25+ is bonded to five O2- atoms to form distorted FeO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, corners with five PO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one FeO6 octahedra, and an edgeedge with one LiO5 trigonal bipyramid. There are a spread of Fe–O bond distances ranging from 2.11–2.27 Å. In the fourth Fe+2.25+ site, Fe+2.25+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six PO4 tetrahedra, an edgeedge with one LiO5 trigonal bipyramid, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Fe–O bond distances ranging from 1.96–2.12 Å. In the fifth Fe+2.25+ site, Fe+2.25+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Fe–O bond distances ranging from 1.93–2.28 Å. In the sixth Fe+2.25+ site, Fe+2.25+ is bonded to five O2- atoms to form distorted FeO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, corners with five PO4 tetrahedra, and an edgeedge with one FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.05–2.22 Å. In the seventh Fe+2.25+ site, Fe+2.25+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Fe–O bond distances ranging from 2.03–2.26 Å. In the eighth Fe+2.25+ site, Fe+2.25+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Fe–O bond distances ranging from 2.10–2.31 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 FeO6 octahedra, a cornercorner with one PO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, and corners with two FeO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 49°. There are a spread of P–O bond distances ranging from 1.50–1.61 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one FeO6 octahedra, a cornercorner with one PO4 tetrahedra, corners with two LiO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, and a cornercorner with one FeO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 39°. There are a spread of P–O bond distances ranging from 1.49–1.63 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one FeO6 octahedra, a cornercorner with one PO4 tetrahedra, corners with two LiO4 tetrahedra, a cornercorner with one FeO5 trigonal bipyramid, and a cornercorner with one LiO4 trigonal pyramid. The corner-sharing octahedral tilt angles are 58°. There are a spread of P–O bond distances ranging from 1.51–1.62 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three FeO6 octahedra, a cornercorner with one PO4 tetrahedra, and a cornercorner with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 19–57°. There are a spread of P–O bond distances ranging from 1.52–1.62 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three FeO6 octahedra, a cornercorner with one PO4 tetrahedra, and a cornercorner with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 32–51°. There are a spread of P–O bond distances ranging from 1.53–1.60 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one FeO6 octahedra, a cornercorner with one PO4 tetrahedra, corners with two LiO4 tetrahedra, and corners with two FeO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 53°. There are a spread of P–O bond distances ranging from 1.51–1.62 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one FeO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two FeO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 55°. There are a spread of P–O bond distances ranging from 1.52–1.62 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one FeO6 octahedra, a cornercorner with one PO4 tetrahedra, corners with two LiO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, and a cornercorner with one FeO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 36°. There are a spread of P–O bond distances ranging from 1.51–1.62 Å. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one FeO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedral tilt angles are 31°. There are a spread of P–O bond distances ranging from 1.51–1.62 Å. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one FeO6 octahedra, a cornercorner with one PO4 tetrahedra, a cornercorner with one FeO5 trigonal bipyramid, and a cornercorner with one LiO4 trigonal pyramid. The corner-sharing octahedral tilt angles are 55°. There are a spread of P–O bond distances ranging from 1.52–1.62 Å. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one FeO6 octahedra, a cornercorner with one PO4 tetrahedra, corners with two LiO4 tetrahedra, and a cornercorner with one FeO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 53°. There are a spread of P–O bond distances ranging from 1.51–1.62 Å. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three FeO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 32–50°. There are a spread of P–O bond distances ranging from 1.53–1.61 Å. In the thirteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three FeO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 30–57°. There are a spread of P–O bond distances ranging from 1.52–1.61 Å. In the fourteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one FeO6 octahedra, a cornercorner with one PO4 tetrahedra, corners with two LiO4 tetrahedra, and corners with two FeO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 58°. There are a spread of P–O bond distances ranging from 1.51–1.62 Å. In the fifteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one FeO6 octahedra, a cornercorner with one PO4 tetrahedra, corners with two LiO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, and a cornercorner with one FeO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 37°. There are a spread of P–O bond distances ranging from 1.51–1.63 Å. In the sixteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one FeO6 octahedra, a cornercorner with one PO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, and a cornercorner with one FeO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 52°. There are a spread of P–O bond distances ranging from 1.51–1.61 Å. There are fifty-six inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two Li1+ and one P5+ atom. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Fe+2.25+, and one P5+ atom. In the third O2- site, O2- is bonded in a distorted trigonal planar geometry to two Fe+2.25+ and one P5+ atom. In the fourth O2-

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Li9Fe4(BO3)8 by Materials Project

Li9Fe4(BO3)8 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eighteen inequivalent Li sites. In the first Li site, Li is bonded in a 3-coordinate geometry to three O atoms. There are a spread of Li–O bond distances ranging from 1.93–2.06 Å. In the second Li site, Li is bonded to five O atoms to form LiO5 trigonal bipyramids that share an edgeedge with one LiO4 tetrahedra and edges with two FeO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 1.97–2.30 Å. In the third Li site, Li is bonded to four O atoms to form LiO4 tetrahedra that share a cornercorner with one LiO5 trigonal bipyramid and corners with three FeO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 1.93–2.20 Å. In the fourth Li site, Li is bonded in a distorted trigonal planar geometry to three O atoms. There are a spread of Li–O bond distances ranging from 1.87–2.03 Å. In the fifth Li site, Li is bonded to five O atoms to form LiO5 trigonal bipyramids that share corners with two LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two FeO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 2.00–2.24 Å. In the sixth Li site, Li is bonded to four O atoms to form distorted LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with three FeO5 trigonal bipyramids, and an edgeedge with one LiO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.98–2.04 Å. In the seventh Li site, Li is bonded to four O atoms to form distorted LiO4 tetrahedra that share a cornercorner with one LiO5 trigonal bipyramid, corners with three FeO5 trigonal bipyramids, and an edgeedge with one LiO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.89–2.02 Å. In the eighth Li site, Li is bonded to four O atoms to form distorted LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with three FeO5 trigonal bipyramids, and an edgeedge with one LiO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.96–2.10 Å. In the ninth Li site, Li is bonded to four O atoms to form LiO4 tetrahedra that share a cornercorner with one LiO5 trigonal bipyramid, corners with three FeO5 trigonal bipyramids, and an edgeedge with one LiO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.92–2.10 Å. In the tenth Li site, Li is bonded to five O atoms to form distorted LiO5 trigonal bipyramids that share a cornercorner with one LiO5 trigonal bipyramid, a cornercorner with one FeO5 trigonal bipyramid, an edgeedge with one LiO4 tetrahedra, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.99–2.40 Å. In the eleventh Li site, Li is bonded to five O atoms to form distorted LiO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra and edges with two FeO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 2.00–2.28 Å. In the twelfth Li site, Li is bonded to five O atoms to form LiO5 trigonal bipyramids that share edges with two LiO4 tetrahedra and edges with two FeO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 1.99–2.18 Å. In the thirteenth Li site, Li is bonded to four O atoms to form distorted LiO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with two LiO5 trigonal bipyramids, corners with two FeO5 trigonal bipyramids, and an edgeedge with one LiO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.97–2.14 Å. In the fourteenth Li site, Li is bonded in a 5-coordinate geometry to five O atoms. There are a spread of Li–O bond distances ranging from 1.98–2.53 Å. In the fifteenth Li site, Li is bonded to four O atoms to form LiO4 tetrahedra that share a cornercorner with one LiO5 trigonal bipyramid, corners with three FeO5 trigonal bipyramids, and edges with two LiO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 1.95–2.07 Å. In the sixteenth Li site, Li is bonded to five O atoms to form LiO5 trigonal bipyramids that share corners with two LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two FeO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 2.00–2.29 Å. In the seventeenth Li site, Li is bonded to five O atoms to form LiO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, an edgeedge with one LiO4 tetrahedra, and edges with two FeO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 2.00–2.27 Å. In the eighteenth Li site, Li is bonded in a 4-coordinate geometry to four O atoms. There are a spread of Li–O bond distances ranging from 1.94–2.11 Å. There are eight inequivalent Fe sites. In the first Fe site, Fe is bonded to five O atoms to form FeO5 trigonal bipyramids that share corners with four LiO4 tetrahedra and edges with two LiO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.94–2.06 Å. In the second Fe site, Fe is bonded to five O atoms to form FeO5 trigonal bipyramids that share corners with three LiO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, and an edgeedge with one LiO5 trigonal bipyramid. There are a spread of Fe–O bond distances ranging from 1.94–2.09 Å. In the third Fe site, Fe is bonded to five O atoms to form FeO5 trigonal bipyramids that share corners with three LiO4 tetrahedra and edges with two LiO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.93–2.02 Å. In the fourth Fe site, Fe is bonded to five O atoms to form FeO5 trigonal bipyramids that share corners with three LiO4 tetrahedra and an edgeedge with one LiO5 trigonal bipyramid. There are a spread of Fe–O bond distances ranging from 1.92–2.05 Å. In the fifth Fe site, Fe is bonded to five O atoms to form FeO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra and an edgeedge with one LiO5 trigonal bipyramid. There are a spread of Fe–O bond distances ranging from 1.89–2.08 Å. In the sixth Fe site, Fe is bonded to five O atoms to form FeO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra and edges with two LiO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.90–2.06 Å. In the seventh Fe site, Fe is bonded to five O atoms to form FeO5 trigonal bipyramids that share corners with three LiO4 tetrahedra and edges with two LiO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.94–1.98 Å. In the eighth Fe site, Fe is bonded to five O atoms to form FeO5 trigonal bipyramids that share corners with two LiO4 tetrahedra and edges with two LiO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.93–2.02 Å. There are sixteen inequivalent B sites. In the first B site, B is bonded in a trigonal planar geometry to three O atoms. There are a spread of B–O bond distances ranging from 1.36–1.40 Å. In the second B site, B is bonded in a trigonal planar geometry to three O atoms. There is one shorter (1.36 Å) and two longer (1.37 Å) B–O bond length. In the third B site, B is bonded in a trigonal planar geometry to three O atoms. There are a spread of B–O bond distances ranging from 1.36–1.40 Å. In the fourth B site, B is bonded in a trigonal planar geometry to three O atoms. There are a spread of B–O bond distances ranging from 1.38–1.40 Å. In the fifth B site, B is bonded in a trigonal planar geometry to three O atoms. There is one shorter (1.38 Å) and two longer (1.39 Å) B–O bond length. In the sixth B site, B is bonded in a trigonal planar geometry to three O atoms. There are a spread of B–O bond distances ranging from 1.37–1.39 Å. In the seventh B site, B is bonded in a trigonal planar geometry to three O atoms. There are a spread of B–O bond distances ranging from 1.37–1.39 Å. In the eighth B site, B is bonded in a trigonal planar geometry to three O atoms. There are a spread of B–O bond distances ranging from 1.36–1.38 Å. In the ninth B site, B is bonded in a trigonal planar geometry to three O atoms. There is two shorter (1.39 Å) and one longer (1.40 Å) B–O bond length. In the tenth B site, B is bonded in a trigonal planar geometry to three O atoms. There is two shorter (1.39 Å) and one longer (1.40 Å) B–O bond length. In the eleventh B site, B is bonded in a trigonal planar geometry to three O atoms. There are a spread of B–O bond distances ranging from 1.36–1.39 Å. In the twelfth B site, B is bonded in a trigonal planar geometry to three O atoms. There is two shorter (1.38 Å) and one longer (1.40 Å) B–O bond length. In the thirteenth B site, B is bonded in a trigonal planar geometry to three O atoms. There are a spread of B–O bond distances ranging from 1.38–1.40 Å. In the fourteenth B site, B is bonded in a trigonal planar geometry to three O atoms. There are a spread of B–O bond distances ranging from 1.36–1.39 Å. In the fifteenth B site, B is bonded in a trigonal planar geometry to three O atoms. There is one shorter (1.36 Å) and two longer (1.40 Å) B–O bond length. In the sixteenth B site, B is bonded in a trigonal planar geometry to three O atoms. There are a spread of B–O bond distances ranging from 1.37–1.40 Å. There are forty-eight inequivalent O sites. In the first O site, O is bonded in a distorted trigonal planar geometry to one Li, one Fe, and one B atom. In the second O site, O is bonded in a bent 120 degrees geometry to one Fe and one B atom. In the third O site, O is bonded in a 3-coordinate geometry to one Li, one Fe, and one B atom. In the fourth O site, O is bonded in a 4-coordinate geometry to two Li, one Fe, and one B atom. In the fifth O site, O is bonded in a distorted trigonal planar geometry to two Li and one B atom. In the sixth O site, O is bonded in a distorted rectangular see-saw-like geometry to two Li, one Fe, and one B atom. In the seventh O site, O is bonded to two Li, one Fe, and one B atom to form distorted corner-sharing OLi2FeB tetrahedra. In the eighth O site, O is bonded in a distorted trigonal planar geometry to one Li, one Fe, and one B atom. In the ninth O site, O is bonded in a distorted trigonal non-coplanar geometry to one Li, one Fe, and one B atom. In the tenth O site, O is bonded in a 4-coordinate geometry to three Li and one B atom. In the eleventh O site, O is bonded to two Li, one Fe, and one B atom to form a mixture of distorted edge and corner-sharing OLi2FeB trigonal pyramids. In the twelfth O site, O is bonded in a distorted trigonal planar geometry to one Li, one Fe, and one B atom. In the thirteenth O site, O is bonded in a distorted trigonal planar geometry to one Li, one Fe, and one B atom. In the fourteenth O site, O is bonded in a rectangular see-saw-like geometry to three Li and one B atom. In the fifteenth O site, O is bonded in a rectangular see-saw-like geometry to three Li and one B atom. In the sixteenth O site, O is bonded in a distorted trigonal planar geometry to one Li, one Fe, and one B atom. In the seventeenth O site, O is bonded in a distorted trigonal planar geometry to one Li, one Fe, and one B atom. In the eighteenth O site, O is bonded in a trigonal planar geometry to one Li, one Fe, and one B atom. In the nineteenth O site, O is bonded in a distorted rectangular see-saw-like geometry to two Li, one Fe, and one B atom. In the twentieth O site, O is bonded in a trigonal planar geometry to one Li, one Fe, and one B atom. In the twenty-first O site, O is bonded in a trigonal planar geometry to one Li, one Fe, and one B atom. In the twenty-second O site, O is bonded in a 4-coordinate geometry to two Li, one Fe, and one B atom. In the twenty-third O site, O is bonded to two Li, one Fe, and one B atom to form distorted corner-sharing OLi2FeB trigonal pyramids. In the twenty-fourth O site, O

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Rb7VSiO8 by Materials Project

Rb7VSiO8 crystallizes in the monoclinic Pc space group. The structure is three-dimensional. there are fourteen inequivalent Rb1+ sites. In the first Rb1+ site, Rb1+ is bonded to five O2- atoms to form distorted RbO5 trigonal bipyramids that share a cornercorner with one VO4 tetrahedra, corners with two SiO4 tetrahedra, edges with two RbO6 pentagonal pyramids, and an edgeedge with one SiO4 tetrahedra. There are a spread of Rb–O bond distances ranging from 2.79–2.91 Å. In the second Rb1+ site, Rb1+ is bonded to five O2- atoms to form distorted RbO5 trigonal bipyramids that share a cornercorner with one SiO4 tetrahedra, corners with two VO4 tetrahedra, edges with two RbO6 pentagonal pyramids, and an edgeedge with one VO4 tetrahedra. There are a spread of Rb–O bond distances ranging from 2.72–2.94 Å. In the third Rb1+ site, Rb1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Rb–O bond distances ranging from 2.79–3.19 Å. In the fourth Rb1+ site, Rb1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Rb–O bond distances ranging from 2.92–3.22 Å. In the fifth Rb1+ site, Rb1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Rb–O bond distances ranging from 2.87–3.14 Å. In the sixth Rb1+ site, Rb1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Rb–O bond distances ranging from 2.77–3.14 Å. In the seventh Rb1+ site, Rb1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Rb–O bond distances ranging from 2.83–3.18 Å. In the eighth Rb1+ site, Rb1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Rb–O bond distances ranging from 2.81–3.25 Å. In the ninth Rb1+ site, Rb1+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Rb–O bond distances ranging from 2.85–3.57 Å. In the tenth Rb1+ site, Rb1+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Rb–O bond distances ranging from 2.88–3.44 Å. In the eleventh Rb1+ site, Rb1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Rb–O bond distances ranging from 2.80–3.42 Å. In the twelfth Rb1+ site, Rb1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Rb–O bond distances ranging from 2.83–3.32 Å. In the thirteenth Rb1+ site, Rb1+ is bonded to six O2- atoms to form distorted RbO6 pentagonal pyramids that share corners with two equivalent RbO6 pentagonal pyramids, a cornercorner with one VO4 tetrahedra, a cornercorner with one SiO4 tetrahedra, an edgeedge with one VO4 tetrahedra, an edgeedge with one SiO4 tetrahedra, and edges with two RbO5 trigonal bipyramids. There are a spread of Rb–O bond distances ranging from 2.78–3.16 Å. In the fourteenth Rb1+ site, Rb1+ is bonded to six O2- atoms to form distorted RbO6 pentagonal pyramids that share corners with two equivalent RbO6 pentagonal pyramids, a cornercorner with one VO4 tetrahedra, a cornercorner with one SiO4 tetrahedra, an edgeedge with one VO4 tetrahedra, an edgeedge with one SiO4 tetrahedra, and edges with two RbO5 trigonal bipyramids. There are a spread of Rb–O bond distances ranging from 2.76–3.23 Å. There are two inequivalent V5+ sites. In the first V5+ site, V5+ is bonded to four O2- atoms to form VO4 tetrahedra that share a cornercorner with one RbO6 pentagonal pyramid, a cornercorner with one RbO5 trigonal bipyramid, and an edgeedge with one RbO5 trigonal bipyramid. There is two shorter (1.74 Å) and two longer (1.76 Å) V–O bond length. In the second V5+ site, V5+ is bonded to four O2- atoms to form VO4 tetrahedra that share a cornercorner with one RbO6 pentagonal pyramid, corners with two RbO5 trigonal bipyramids, and edges with two RbO6 pentagonal pyramids. There are a spread of V–O bond distances ranging from 1.74–1.76 Å. There are two inequivalent Si4+ sites. In the first Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one RbO6 pentagonal pyramid, a cornercorner with one RbO5 trigonal bipyramid, and an edgeedge with one RbO5 trigonal bipyramid. There is one shorter (1.67 Å) and three longer (1.68 Å) Si–O bond length. In the second Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one RbO6 pentagonal pyramid, corners with two RbO5 trigonal bipyramids, and edges with two RbO6 pentagonal pyramids. There is one shorter (1.67 Å) and three longer (1.68 Å) Si–O bond length. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted single-bond geometry to five Rb1+ and one Si4+ atom. In the second O2- site, O2- is bonded in a distorted single-bond geometry to five Rb1+ and one V5+ atom. In the third O2- site, O2- is bonded in a 1-coordinate geometry to five Rb1+ and one Si4+ atom. In the fourth O2- site, O2- is bonded in a distorted single-bond geometry to five Rb1+ and one V5+ atom. In the fifth O2- site, O2- is bonded in a distorted single-bond geometry to five Rb1+ and one Si4+ atom. In the sixth O2- site, O2- is bonded in a distorted single-bond geometry to five Rb1+ and one V5+ atom. In the seventh O2- site, O2- is bonded in a distorted single-bond geometry to five Rb1+ and one Si4+ atom. In the eighth O2- site, O2- is bonded in a distorted single-bond geometry to five Rb1+ and one V5+ atom. In the ninth O2- site, O2- is bonded in a distorted single-bond geometry to five Rb1+ and one Si4+ atom. In the tenth O2- site, O2- is bonded in a distorted single-bond geometry to five Rb1+ and one V5+ atom. In the eleventh O2- site, O2- is bonded in a distorted single-bond geometry to five Rb1+ and one Si4+ atom. In the twelfth O2- site, O2- is bonded in a distorted single-bond geometry to five Rb1+ and one V5+ atom. In the thirteenth O2- site, O2- is bonded in a distorted single-bond geometry to six Rb1+ and one Si4+ atom. In the fourteenth O2- site, O2- is bonded in a distorted single-bond geometry to six Rb1+ and one V5+ atom. In the fifteenth O2- site, O2- is bonded in a distorted single-bond geometry to six Rb1+ and one Si4+ atom. In the sixteenth O2- site, O2- is bonded in a distorted single-bond geometry to six Rb1+ and one V5+ atom.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on NaHfMg30O31 by Materials Project

NaMg30HfO31 crystallizes in the orthorhombic Pmm2 space group. The structure is three-dimensional. Na is bonded to six O atoms to form NaO6 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 Na–O bond distances ranging from 2.25–2.27 Å. There are sixteen inequivalent Mg sites. In the first Mg site, Mg is bonded to five O atoms to form MgO5 square pyramids that share corners with two equivalent NaO6 octahedra, corners with two equivalent HfO6 octahedra, corners with five MgO5 square pyramids, and edges with eight MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are a spread of Mg–O bond distances ranging from 2.03–2.15 Å. In the second Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with two equivalent NaO6 octahedra, corners with two equivalent MgO6 octahedra, corners with two equivalent HfO6 octahedra, and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are a spread of Mg–O bond distances ranging from 2.03–2.19 Å. In the third Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with two equivalent NaO6 octahedra, 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 0°. There are a spread of Mg–O bond distances ranging from 2.04–2.18 Å. In the fourth Mg site, Mg is bonded to five O atoms to form MgO5 square pyramids that share corners with four MgO6 octahedra, corners with five MgO5 square pyramids, and edges with eight MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are a spread of Mg–O bond distances ranging from 2.12–2.17 Å. In the fifth Mg site, Mg is bonded to six O atoms to form a mixture of edge and corner-sharing MgO6 octahedra. 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 sixth 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 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 2.12–2.14 Å. In the seventh Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, an edgeedge with one NaO6 octahedra, an edgeedge with one HfO6 octahedra, edges with seven MgO6 octahedra, and edges with three MgO5 square pyramids. The corner-sharing octahedra tilt angles range from 4–11°. There are a spread of Mg–O bond distances ranging from 2.08–2.23 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 1–4°. There are a spread of Mg–O bond distances ranging from 2.13–2.17 Å. In the ninth Mg site, Mg is bonded to five O atoms to form MgO5 square pyramids that share corners with four MgO6 octahedra, corners with five MgO5 square pyramids, an edgeedge with one NaO6 octahedra, and edges with seven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 2–7°. 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 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 1–5°. There are a spread of Mg–O bond distances ranging from 2.09–2.21 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, an edgeedge with one NaO6 octahedra, edges with nine MgO6 octahedra, and edges with two MgO5 square pyramids. The corner-sharing octahedra tilt angles range from 1–6°. There are a spread of Mg–O bond distances ranging from 2.12–2.16 Å. In the twelfth 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 1–5°. There are a spread of Mg–O bond distances ranging from 2.09–2.21 Å. In the thirteenth 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 NaO6 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 2.14–2.17 Å. In the fourteenth Mg site, Mg is bonded to five O atoms to form MgO5 square pyramids that share corners with four MgO6 octahedra, corners with five MgO5 square pyramids, an edgeedge with one HfO6 octahedra, and edges with seven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 2–3°. There are a spread of Mg–O bond distances ranging from 2.12–2.19 Å. In the fifteenth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, an edgeedge with one NaO6 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 2.13–2.17 Å. In the sixteenth 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 MgO5 square pyramids. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Mg–O bond distances ranging from 2.11–2.19 Å. Hf is bonded to six O atoms to form HfO6 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 Hf–O bond distances ranging from 2.09–2.18 Å. There are seventeen inequivalent O sites. In the first O site, O is bonded to one Na and five Mg atoms to form a mixture of edge and corner-sharing ONaMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the second O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six ONaMg5 octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the third O site, O is bonded to five Mg and one Hf atom to form a mixture of edge and corner-sharing OHfMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. In the fourth O site, O is bonded to one Na and five Mg atoms to form ONaMg5 octahedra that share corners with six ONaMg5 octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the fifth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with four ONaMg5 octahedra and edges with twelve OMg6 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 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 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 0–2°. In the eighth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OMg6 octahedra and edges with eleven ONaMg5 octahedra. The corner-sharing octahedra tilt angles range from 2–6°. In the ninth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OMg6 octahedra and edges with twelve ONaMg5 octahedra. The corner-sharing octahedra tilt angles range from 1–6°. In the tenth O site, O is bonded to one Na and five Mg atoms to form ONaMg5 octahedra that share corners with six OHfMg5 octahedra and edges with eleven ONaMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the eleventh 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 twelfth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OMg6 octahedra and edges with eleven ONaMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–5°. In the thirteenth 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 0–4°. In the fourteenth O site, O is bonded to one Na and five Mg atoms to form ONaMg5 octahedra that share corners with six OHfMg5 octahedra and edges with twelve ONaMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the fifteenth O site, O is bonded to five Mg and one Hf atom to form a mixture of edge and corner-sharing OHfMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the sixteenth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OMg6 octahedra and edges with twelve ONaMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–5°. In the seventeenth 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 0–2°.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on CsNaMg14O15 by Materials Project

CsNaMg14O15 crystallizes in the orthorhombic Pmm2 space group. The structure is three-dimensional. Cs1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Cs–O bond distances ranging from 2.63–3.00 Å. Na1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are four shorter (2.18 Å) and one longer (2.51 Å) Na–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 MgO6 octahedra, edges with six MgO6 octahedra, edges with four MgO5 square pyramids, and edges with two equivalent MgO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 1°. There are a spread of Mg–O bond distances ranging from 2.03–2.10 Å. In the second Mg2+ site, Mg2+ is bonded to five O2- atoms to form a mixture of corner and edge-sharing MgO5 trigonal bipyramids. There are a spread of Mg–O bond distances ranging from 2.01–2.41 Å. In the third Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with four equivalent MgO6 octahedra, a cornercorner with one MgO5 square pyramid, a cornercorner with one MgO5 trigonal bipyramid, edges with three MgO6 octahedra, edges with three MgO5 square pyramids, and edges with two equivalent MgO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 5–10°. There are a spread of Mg–O bond distances ranging from 2.02–2.28 Å. In the fourth Mg2+ site, Mg2+ is bonded to five O2- atoms to form distorted MgO5 square pyramids that share a cornercorner with one MgO6 octahedra, corners with four equivalent MgO5 square pyramids, a cornercorner with one MgO5 trigonal bipyramid, an edgeedge with one MgO6 octahedra, edges with two equivalent MgO5 square pyramids, and edges with two equivalent MgO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 4°. There are a spread of Mg–O bond distances ranging from 2.08–2.33 Å. In the fifth Mg2+ site, Mg2+ is bonded in a T-shaped geometry to three O2- atoms. There is one shorter (1.89 Å) and two longer (1.95 Å) Mg–O bond length. In the sixth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with two equivalent MgO6 octahedra, a cornercorner with one MgO5 square pyramid, edges with four MgO6 octahedra, and edges with six MgO5 square pyramids. The corner-sharing octahedral tilt angles are 10°. There are a spread of Mg–O bond distances ranging from 2.00–2.24 Å. In the seventh Mg2+ site, Mg2+ is bonded to five O2- atoms to form MgO5 trigonal bipyramids that share corners with two equivalent MgO6 octahedra, corners with four MgO5 square pyramids, corners with two equivalent MgO5 trigonal bipyramids, and edges with six MgO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 70°. There are three shorter (2.11 Å) and two longer (2.25 Å) Mg–O bond lengths. In the eighth Mg2+ site, Mg2+ is bonded to five O2- atoms to form MgO5 square pyramids that share a cornercorner with one MgO6 octahedra, corners with two equivalent MgO5 square pyramids, corners with two equivalent MgO5 trigonal bipyramids, edges with four MgO6 octahedra, and edges with four equivalent MgO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 0°. There are a spread of Mg–O bond distances ranging from 2.05–2.12 Å. In the ninth Mg2+ site, Mg2+ is bonded to five O2- atoms to form distorted MgO5 square pyramids that share corners with three equivalent MgO5 square pyramids, corners with two MgO5 trigonal bipyramids, edges with five MgO6 octahedra, and edges with two equivalent MgO5 square pyramids. There are a spread of Mg–O bond distances ranging from 1.93–2.25 Å. In the tenth Mg2+ site, Mg2+ is bonded to five O2- atoms to form distorted MgO5 trigonal bipyramids that share a cornercorner with one MgO5 square pyramid, corners with five MgO5 trigonal bipyramids, edges with three MgO6 octahedra, edges with two equivalent MgO5 square pyramids, and edges with two equivalent MgO5 trigonal bipyramids. There are a spread of Mg–O bond distances ranging from 2.10–2.24 Å. There are eleven inequivalent O2- sites. In the first O2- site, O2- is bonded to five Mg2+ atoms to form OMg5 square pyramids that share a cornercorner with one OCsMg5 octahedra, corners with two equivalent OMg5 square pyramids, corners with two equivalent OCs2Mg3 trigonal bipyramids, and edges with eight ONaMg5 octahedra. The corner-sharing octahedral tilt angles are 0°. In the second O2- site, O2- is bonded to one Na1+ and five Mg2+ atoms to form distorted ONaMg5 octahedra that share corners with four ONaMg5 octahedra, corners with two equivalent ONa2Mg3 trigonal bipyramids, edges with two equivalent ONaMg5 octahedra, and edges with six OMg5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 9–20°. In the third O2- site, O2- is bonded to one Cs1+ and five Mg2+ atoms to form OCsMg5 octahedra that share corners with four ONaMg5 octahedra, a cornercorner with one OMg5 square pyramid, corners with two equivalent OCs2Mg3 trigonal bipyramids, edges with four OMg6 octahedra, and edges with four equivalent OMg5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 4–20°. In the fourth O2- site, O2- is bonded to six Mg2+ atoms to form OMg6 octahedra that share corners with four equivalent OMg6 octahedra, corners with two OMg5 trigonal bipyramids, edges with three OMg6 octahedra, edges with two equivalent OMg5 square pyramids, and edges with two ONa2Mg3 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 0–17°. In the fifth O2- site, O2- is bonded to five Mg2+ atoms to form OMg5 trigonal bipyramids that share a cornercorner with one OMg6 octahedra, corners with six OMg5 trigonal bipyramids, and edges with seven OMg6 octahedra. The corner-sharing octahedral tilt angles are 0°. In the sixth O2- site, O2- is bonded to two equivalent Na1+ and three Mg2+ atoms to form ONa2Mg3 trigonal bipyramids that share corners with four OMg6 octahedra, corners with four OMg5 trigonal bipyramids, and edges with six ONaMg5 octahedra. The corner-sharing octahedra tilt angles range from 7–74°. In the seventh O2- site, O2- is bonded to six Mg2+ atoms to form OMg6 octahedra that share corners with two equivalent OMg6 octahedra, corners with three OCs2Mg3 trigonal bipyramids, edges with eight OCsMg5 octahedra, edges with two equivalent OMg5 square pyramids, and edges with two equivalent OMg5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 1°. In the eighth O2- site, O2- is bonded to five Mg2+ atoms to form OMg5 trigonal bipyramids that share corners with two equivalent OMg6 octahedra, corners with six OMg5 trigonal bipyramids, and edges with two equivalent ONaMg5 octahedra. The corner-sharing octahedral tilt angles are 63°. In the ninth O2- site, O2- is bonded to two equivalent Cs1+ and three Mg2+ atoms to form OCs2Mg3 trigonal bipyramids that share corners with three OCsMg5 octahedra, corners with two equivalent OMg5 square pyramids, corners with four OMg5 trigonal bipyramids, and edges with two equivalent OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–53°. In the tenth O2- site, O2- is bonded to one Na1+ and five Mg2+ atoms to form ONaMg5 octahedra that share corners with four equivalent ONaMg5 octahedra, edges with six ONaMg5 octahedra, an edgeedge with one OMg5 square pyramid, and edges with four OMg5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 1–24°. In the eleventh O2- site, O2- is bonded in a 4-coordinate geometry to one Cs1+ and four Mg2+ atoms.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on KHfMg30O31 by Materials Project

KMg30HfO31 crystallizes in the orthorhombic Pmm2 space group. The structure is three-dimensional. K is bonded to six O atoms to form KO6 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 K–O bond distances ranging from 2.36–2.38 Å. There are sixteen inequivalent Mg sites. In the first Mg site, Mg is bonded to five O atoms to form MgO5 square pyramids that share corners with two equivalent KO6 octahedra, corners with two equivalent HfO6 octahedra, corners with five MgO5 square pyramids, and edges with eight MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of Mg–O bond distances ranging from 1.95–2.19 Å. In the second Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with two equivalent KO6 octahedra, corners with two equivalent MgO6 octahedra, corners with two equivalent HfO6 octahedra, and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are a spread of Mg–O bond distances ranging from 1.95–2.23 Å. In the third Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with two equivalent KO6 octahedra, 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 0°. There are a spread of Mg–O bond distances ranging from 1.96–2.21 Å. In the fourth Mg site, Mg is bonded to five O atoms to form MgO5 square pyramids that share corners with four MgO6 octahedra, corners with five MgO5 square pyramids, and edges with eight MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are three shorter (2.12 Å) and two longer (2.19 Å) Mg–O bond lengths. In the fifth Mg site, Mg is bonded to six O atoms to form a mixture of edge and corner-sharing MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are a spread of Mg–O bond distances ranging from 2.12–2.17 Å. In the sixth 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 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 2.14–2.16 Å. In the seventh Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, an edgeedge with one KO6 octahedra, an edgeedge with one HfO6 octahedra, edges with seven MgO6 octahedra, and edges with three MgO5 square pyramids. The corner-sharing octahedra tilt angles range from 3–14°. There are a spread of Mg–O bond distances ranging from 2.13–2.22 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 1–3°. There are a spread of Mg–O bond distances ranging from 2.15–2.18 Å. In the ninth Mg site, Mg is bonded to five O atoms to form MgO5 square pyramids that share corners with four MgO6 octahedra, corners with five MgO5 square pyramids, an edgeedge with one KO6 octahedra, and edges with seven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 2–11°. There are a spread of Mg–O bond distances ranging from 2.15–2.20 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, 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 2–6°. There are a spread of Mg–O bond distances ranging from 2.10–2.22 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, an edgeedge with one KO6 octahedra, edges with nine MgO6 octahedra, and edges with two MgO5 square pyramids. The corner-sharing octahedra tilt angles range from 1–10°. There are a spread of Mg–O bond distances ranging from 2.14–2.19 Å. In the twelfth 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 2–6°. There are a spread of Mg–O bond distances ranging from 2.11–2.22 Å. In the thirteenth 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 KO6 octahedra, edges with nine MgO6 octahedra, and edges with two equivalent MgO5 square pyramids. The corner-sharing octahedra tilt angles range from 0–11°. There are a spread of Mg–O bond distances ranging from 2.15–2.19 Å. In the fourteenth Mg site, Mg is bonded to five O atoms to form MgO5 square pyramids that share corners with four MgO6 octahedra, corners with five MgO5 square pyramids, an edgeedge with one HfO6 octahedra, and edges with seven MgO6 octahedra. The corner-sharing octahedral tilt angles are 3°. There are a spread of Mg–O bond distances ranging from 2.13–2.22 Å. In the fifteenth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, an edgeedge with one KO6 octahedra, and edges with eleven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–11°. There are a spread of Mg–O bond distances ranging from 2.15–2.19 Å. In the sixteenth 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 MgO5 square pyramids. The corner-sharing octahedra tilt angles range from 0–3°. There are a spread of Mg–O bond distances ranging from 2.12–2.21 Å. Hf is bonded to six O atoms to form HfO6 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 Hf–O bond distances ranging from 2.09–2.17 Å. There are seventeen inequivalent O sites. In the first O site, O is bonded to one K and five Mg atoms to form a mixture of edge and corner-sharing OKMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–5°. In the second O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OKMg5 octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–5°. In the third O site, O is bonded to five Mg and one Hf atom to form a mixture of edge and corner-sharing OHfMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. In the fourth O site, O is bonded to one K and five Mg atoms to form OKMg5 octahedra that share corners with six OKMg5 octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–5°. In the fifth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with four OKMg5 octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 1–5°. 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 0–5°. In the seventh 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 0–2°. In the eighth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OMg6 octahedra and edges with eleven OKMg5 octahedra. The corner-sharing octahedra tilt angles range from 2–5°. In the ninth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OMg6 octahedra and edges with twelve OKMg5 octahedra. The corner-sharing octahedra tilt angles range from 2–5°. In the tenth O site, O is bonded to one K and five Mg atoms to form OKMg5 octahedra that share corners with six OHfMg5 octahedra and edges with eleven OKMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–9°. In the eleventh 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 0–9°. In the twelfth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OMg6 octahedra and edges with eleven OKMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the thirteenth 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 0–5°. In the fourteenth O site, O is bonded to one K and five Mg atoms to form OKMg5 octahedra that share corners with six OHfMg5 octahedra and edges with twelve OKMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–9°. In the fifteenth O site, O is bonded to five Mg and one Hf atom to form a mixture of edge and corner-sharing OHfMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–9°. In the sixteenth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OMg6 octahedra and edges with twelve OKMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the seventeenth 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 0–4°.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on LiHfMg30O31 by Materials Project

LiMg30HfO31 crystallizes in the orthorhombic Pmm2 space group. The structure is three-dimensional. Li is bonded to six O atoms to form LiO6 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 Li–O bond distances ranging from 2.19–2.22 Å. There are sixteen inequivalent Mg sites. In the first Mg site, Mg is bonded to five O atoms to form MgO5 square pyramids that share corners with two equivalent LiO6 octahedra, corners with two equivalent HfO6 octahedra, corners with five MgO5 square pyramids, and edges with eight MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are a spread of Mg–O bond distances ranging from 2.09–2.14 Å. In the second Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with two equivalent MgO6 octahedra, corners with two equivalent HfO6 octahedra, and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are a spread of Mg–O bond distances ranging from 2.07–2.17 Å. In the third Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with two equivalent LiO6 octahedra, 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 0°. There are a spread of Mg–O bond distances ranging from 2.09–2.16 Å. In the fourth Mg site, Mg is bonded to five O atoms to form MgO5 square pyramids that share corners with four MgO6 octahedra, corners with five MgO5 square pyramids, and edges with eight MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are a spread of Mg–O bond distances ranging from 2.12–2.16 Å. In the fifth Mg site, Mg is bonded to six O atoms to form a mixture of corner and edge-sharing MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are two shorter (2.13 Å) and four longer (2.14 Å) Mg–O bond lengths. In the sixth 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 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 2.09–2.13 Å. In the seventh Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, an edgeedge with one LiO6 octahedra, an edgeedge with one HfO6 octahedra, edges with seven MgO6 octahedra, and edges with three MgO5 square pyramids. The corner-sharing octahedra tilt angles range from 3–9°. There are a spread of Mg–O bond distances ranging from 2.06–2.23 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 1–4°. There are a spread of Mg–O bond distances ranging from 2.13–2.16 Å. In the ninth Mg site, Mg is bonded to five O atoms to form MgO5 square pyramids that share corners with four MgO6 octahedra, corners with five MgO5 square pyramids, an edgeedge with one LiO6 octahedra, and edges with seven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 2–5°. There are a spread of Mg–O bond distances ranging from 2.09–2.17 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, 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 0–4°. There are a spread of Mg–O bond distances ranging from 2.09–2.20 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, an edgeedge with one LiO6 octahedra, edges with nine MgO6 octahedra, and edges with two MgO5 square pyramids. The corner-sharing octahedra tilt angles range from 2–4°. There are a spread of Mg–O bond distances ranging from 2.10–2.17 Å. In the twelfth 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 0–4°. There are a spread of Mg–O bond distances ranging from 2.09–2.20 Å. In the thirteenth 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 LiO6 octahedra, edges with nine MgO6 octahedra, and edges with two equivalent MgO5 square pyramids. The corner-sharing octahedra tilt angles range from 1–6°. There are a spread of Mg–O bond distances ranging from 2.11–2.17 Å. In the fourteenth Mg site, Mg is bonded to five O atoms to form MgO5 square pyramids that share corners with four MgO6 octahedra, corners with five MgO5 square pyramids, an edgeedge with one HfO6 octahedra, and edges with seven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. There are a spread of Mg–O bond distances ranging from 2.12–2.18 Å. In the fifteenth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, an edgeedge with one LiO6 octahedra, and edges with eleven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 1–6°. There are a spread of Mg–O bond distances ranging from 2.11–2.18 Å. In the sixteenth 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 MgO5 square pyramids. The corner-sharing octahedra tilt angles range from 1–3°. There are a spread of Mg–O bond distances ranging from 2.11–2.18 Å. Hf is bonded to six O atoms to form HfO6 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 Hf–O bond distances ranging from 2.10–2.19 Å. There are seventeen inequivalent O sites. In the first 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 octahedra tilt angles range from 0–2°. In the second O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OLiMg5 octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. In the third 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 fourth O site, O is bonded to one Li and five Mg atoms to form OLiMg5 octahedra that share corners with six OLiMg5 octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the fifth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with four OLiMg5 octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. 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 0–2°. In the seventh 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 0–2°. In the eighth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OMg6 octahedra and edges with eleven OLiMg5 octahedra. The corner-sharing octahedra tilt angles range from 2–7°. In the ninth 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 tenth 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 OLiMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. In the eleventh 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 0–6°. In the twelfth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OMg6 octahedra and edges with eleven OLiMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the thirteenth 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 0–4°. In the fourteenth 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 twelve OLiMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. In the fifteenth 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 0–6°. In the sixteenth 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 0–4°. In the seventeenth 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°.

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