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Materials Data on Na3CuSnSe4 by Materials Project

Na3CuSnSe4 crystallizes in the monoclinic P2_1/c space group. The structure is three-dimensional. there are three inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded to six Se2- atoms to form NaSe6 octahedra that share corners with four equivalent NaSe5 square pyramids, corners with two equivalent CuSe4 tetrahedra, corners with two equivalent SnSe4 tetrahedra, corners with five equivalent NaSe5 trigonal bipyramids, edges with two equivalent NaSe6 octahedra, edges with two equivalent CuSe4 tetrahedra, edges with two equivalent SnSe4 tetrahedra, an edgeedge with one NaSe5 trigonal bipyramid, and a faceface with one NaSe5 square pyramid. There are a spread of Na–Se bond distances ranging from 3.00–3.32 Å. In the second Na1+ site, Na1+ is bonded to five Se2- atoms to form NaSe5 trigonal bipyramids that share corners with five equivalent NaSe6 octahedra, corners with two equivalent NaSe5 square pyramids, a cornercorner with one CuSe4 tetrahedra, corners with five equivalent SnSe4 tetrahedra, an edgeedge with one NaSe6 octahedra, edges with two equivalent NaSe5 square pyramids, edges with two equivalent CuSe4 tetrahedra, and an edgeedge with one NaSe5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 39–55°. There are a spread of Na–Se bond distances ranging from 2.96–3.17 Å. In the third Na1+ site, Na1+ is bonded to five Se2- atoms to form NaSe5 square pyramids that share corners with four equivalent NaSe6 octahedra, corners with three equivalent CuSe4 tetrahedra, corners with three equivalent SnSe4 tetrahedra, corners with two equivalent NaSe5 trigonal bipyramids, an edgeedge with one NaSe5 square pyramid, an edgeedge with one CuSe4 tetrahedra, an edgeedge with one SnSe4 tetrahedra, edges with two equivalent NaSe5 trigonal bipyramids, and a faceface with one NaSe6 octahedra. The corner-sharing octahedra tilt angles range from 34–67°. There are a spread of Na–Se bond distances ranging from 2.96–3.25 Å. Cu1+ is bonded to four Se2- atoms to form distorted CuSe4 tetrahedra that share corners with two equivalent NaSe6 octahedra, corners with three equivalent NaSe5 square pyramids, corners with two equivalent SnSe4 tetrahedra, a cornercorner with one NaSe5 trigonal bipyramid, edges with two equivalent NaSe6 octahedra, an edgeedge with one NaSe5 square pyramid, an edgeedge with one SnSe4 tetrahedra, and edges with two equivalent NaSe5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 17–57°. There are a spread of Cu–Se bond distances ranging from 2.42–2.66 Å. Sn4+ is bonded to four Se2- atoms to form SnSe4 tetrahedra that share corners with two equivalent NaSe6 octahedra, corners with three equivalent NaSe5 square pyramids, corners with two equivalent CuSe4 tetrahedra, corners with five equivalent NaSe5 trigonal bipyramids, edges with two equivalent NaSe6 octahedra, an edgeedge with one NaSe5 square pyramid, and an edgeedge with one CuSe4 tetrahedra. The corner-sharing octahedra tilt angles range from 40–64°. There are three shorter (2.57 Å) and one longer (2.58 Å) Sn–Se bond lengths. There are four inequivalent Se2- sites. In the first Se2- site, Se2- is bonded in a 6-coordinate geometry to four Na1+, one Cu1+, and one Sn4+ atom. In the second Se2- site, Se2- is bonded in a 6-coordinate geometry to four Na1+, one Cu1+, and one Sn4+ atom. In the third Se2- site, Se2- is bonded to four Na1+, one Cu1+, and one Sn4+ atom to form a mixture of distorted edge and corner-sharing SeNa4CuSn pentagonal pyramids. In the fourth Se2- site, Se2- is bonded to four Na1+, one Cu1+, and one Sn4+ atom to form a mixture of distorted edge and corner-sharing SeNa4CuSn pentagonal pyramids.

36 MATERIALS SCIENCE↗

Materials Data on Cu4Bi5PbS11 by Materials Project

Cu4PbBi5S11 crystallizes in the monoclinic C2/m space group. The structure is three-dimensional. there are four inequivalent Cu+1.25+ sites. In the first Cu+1.25+ site, Cu+1.25+ is bonded in a 3-coordinate geometry to five S2- atoms. There are a spread of Cu–S bond distances ranging from 2.24–3.26 Å. In the second Cu+1.25+ site, Cu+1.25+ is bonded in a 5-coordinate geometry to four S2- atoms. There are a spread of Cu–S bond distances ranging from 2.28–2.44 Å. In the third Cu+1.25+ site, Cu+1.25+ is bonded to four S2- atoms to form CuS4 tetrahedra that share corners with three equivalent PbS6 octahedra, corners with two equivalent CuS4 tetrahedra, and edges with two equivalent CuS4 tetrahedra. The corner-sharing octahedra tilt angles range from 3–76°. There are a spread of Cu–S bond distances ranging from 2.28–2.47 Å. In the fourth Cu+1.25+ site, Cu+1.25+ is bonded to four S2- atoms to form CuS4 tetrahedra that share corners with two equivalent BiS5 square pyramids and corners with two equivalent CuS4 tetrahedra. There are a spread of Cu–S bond distances ranging from 2.32–2.37 Å. There are two inequivalent Pb2+ sites. In the first Pb2+ site, Pb2+ is bonded to six S2- atoms to form PbS6 octahedra that share corners with six equivalent CuS4 tetrahedra and edges with two equivalent PbS6 octahedra. There are four shorter (2.88 Å) and two longer (2.89 Å) Pb–S bond lengths. In the second Pb2+ site, Pb2+ is bonded to six S2- atoms to form PbS6 octahedra that share corners with two equivalent BiS6 octahedra, edges with two equivalent PbS6 octahedra, and edges with four equivalent BiS6 octahedra. The corner-sharing octahedral tilt angles are 9°. There are four shorter (2.89 Å) and two longer (2.91 Å) Pb–S bond lengths. There are five inequivalent Bi3+ sites. In the first Bi3+ site, Bi3+ is bonded to six S2- atoms to form BiS6 octahedra that share a cornercorner with one PbS6 octahedra, edges with two equivalent PbS6 octahedra, and edges with four equivalent BiS6 octahedra. The corner-sharing octahedral tilt angles are 9°. There are a spread of Bi–S bond distances ranging from 2.70–3.10 Å. In the second Bi3+ site, Bi3+ is bonded in a 7-coordinate geometry to seven S2- atoms. There are a spread of Bi–S bond distances ranging from 2.69–3.39 Å. In the third Bi3+ site, Bi3+ is bonded to five S2- atoms to form distorted BiS5 square pyramids that share corners with two equivalent CuS4 tetrahedra and edges with two equivalent BiS5 square pyramids. There are a spread of Bi–S bond distances ranging from 2.62–3.05 Å. In the fourth Bi3+ site, Bi3+ is bonded in a 7-coordinate geometry to seven S2- atoms. There are a spread of Bi–S bond distances ranging from 2.68–3.43 Å. In the fifth Bi3+ site, Bi3+ is bonded in a 5-coordinate geometry to seven S2- atoms. There are a spread of Bi–S bond distances ranging from 2.58–3.50 Å. There are eleven inequivalent S2- sites. In the first S2- site, S2- is bonded to two equivalent Cu+1.25+, one Pb2+, and three equivalent Bi3+ atoms to form a mixture of distorted edge and corner-sharing SCu2Bi3Pb octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the second S2- site, S2- is bonded in a 5-coordinate geometry to two equivalent Pb2+ and three Bi3+ atoms. In the third S2- site, S2- is bonded in a 3-coordinate geometry to two equivalent Cu+1.25+ and three Bi3+ atoms. In the fourth S2- site, S2- is bonded in a 5-coordinate geometry to two equivalent Cu+1.25+ and three Bi3+ atoms. In the fifth S2- site, S2- is bonded in a 3-coordinate geometry to one Cu+1.25+ and four Bi3+ atoms. In the sixth S2- site, S2- is bonded to one Cu+1.25+, two equivalent Pb2+, and three Bi3+ atoms to form distorted SCuBi3Pb2 octahedra that share corners with three SCu2Bi3Pb octahedra, corners with two equivalent SCu2Bi2 trigonal pyramids, edges with seven SCu2Bi3Pb octahedra, and an edgeedge with one SCu2Bi2 trigonal pyramid. The corner-sharing octahedra tilt angles range from 0–3°. In the seventh S2- site, S2- is bonded in a 3-coordinate geometry to one Cu+1.25+ and four Bi3+ atoms. In the eighth S2- site, S2- is bonded in a 6-coordinate geometry to three equivalent Cu+1.25+, one Pb2+, and two equivalent Bi3+ atoms. In the ninth S2- site, S2- is bonded to two Cu+1.25+ and two equivalent Bi3+ atoms to form a mixture of distorted edge and corner-sharing SCu2Bi2 trigonal pyramids. In the tenth S2- site, S2- is bonded to two Cu+1.25+ and two equivalent Bi3+ atoms to form SCu2Bi2 trigonal pyramids that share corners with two equivalent SCuBi3Pb2 octahedra, corners with two equivalent SCu2Bi2 trigonal pyramids, an edgeedge with one SCuBi3Pb2 octahedra, and an edgeedge with one SCu2Bi2 trigonal pyramid. The corner-sharing octahedral tilt angles are 15°. In the eleventh S2- site, S2- is bonded in a 4-coordinate geometry to one Cu+1.25+ and three Bi3+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Na3Cr11Se20 by Materials Project

Na3Cr11Se20 crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are three inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six Se2- atoms. There are a spread of Na–Se bond distances ranging from 2.85–3.04 Å. In the second Na1+ site, Na1+ is bonded to six Se2- atoms to form distorted NaSe6 pentagonal pyramids that share corners with seven CrSe6 octahedra, edges with three CrSe6 octahedra, and edges with two equivalent NaSe6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 9–49°. There are a spread of Na–Se bond distances ranging from 3.00–3.12 Å. In the third Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six Se2- atoms. There are a spread of Na–Se bond distances ranging from 2.98–3.11 Å. There are eleven inequivalent Cr+3.36+ sites. In the first Cr+3.36+ site, Cr+3.36+ is bonded to six Se2- atoms to form a mixture of edge and corner-sharing CrSe6 octahedra. The corner-sharing octahedral tilt angles are 50°. There are five shorter (2.53 Å) and one longer (2.58 Å) Cr–Se bond lengths. In the second Cr+3.36+ site, Cr+3.36+ is bonded to six Se2- atoms to form a mixture of edge and corner-sharing CrSe6 octahedra. The corner-sharing octahedral tilt angles are 49°. There are a spread of Cr–Se bond distances ranging from 2.45–2.63 Å. In the third Cr+3.36+ site, Cr+3.36+ is bonded to six Se2- atoms to form a mixture of edge, face, and corner-sharing CrSe6 octahedra. The corner-sharing octahedral tilt angles are 49°. There are a spread of Cr–Se bond distances ranging from 2.45–2.71 Å. In the fourth Cr+3.36+ site, Cr+3.36+ is bonded to six Se2- atoms to form a mixture of edge, face, and corner-sharing CrSe6 octahedra. The corner-sharing octahedra tilt angles range from 49–50°. There are a spread of Cr–Se bond distances ranging from 2.54–2.57 Å. In the fifth Cr+3.36+ site, Cr+3.36+ is bonded to six Se2- atoms to form a mixture of edge, face, and corner-sharing CrSe6 octahedra. The corner-sharing octahedral tilt angles are 49°. There are a spread of Cr–Se bond distances ranging from 2.44–2.67 Å. In the sixth Cr+3.36+ site, Cr+3.36+ is bonded to six Se2- atoms to form CrSe6 octahedra that share corners with four CrSe6 octahedra, a cornercorner with one NaSe6 pentagonal pyramid, and edges with six CrSe6 octahedra. The corner-sharing octahedra tilt angles range from 48–50°. There are a spread of Cr–Se bond distances ranging from 2.53–2.58 Å. In the seventh Cr+3.36+ site, Cr+3.36+ is bonded to six Se2- atoms to form CrSe6 octahedra that share corners with four CrSe6 octahedra, corners with two equivalent NaSe6 pentagonal pyramids, and edges with four CrSe6 octahedra. The corner-sharing octahedra tilt angles range from 50–53°. There are a spread of Cr–Se bond distances ranging from 2.50–2.62 Å. In the eighth Cr+3.36+ site, Cr+3.36+ is bonded to six Se2- atoms to form CrSe6 octahedra that share corners with two equivalent CrSe6 octahedra, edges with six CrSe6 octahedra, edges with two equivalent NaSe6 pentagonal pyramids, and a faceface with one CrSe6 octahedra. The corner-sharing octahedral tilt angles are 47°. There are a spread of Cr–Se bond distances ranging from 2.51–2.61 Å. In the ninth Cr+3.36+ site, Cr+3.36+ is bonded to six Se2- atoms to form a mixture of edge, face, and corner-sharing CrSe6 octahedra. The corner-sharing octahedra tilt angles range from 47–55°. There are a spread of Cr–Se bond distances ranging from 2.44–2.69 Å. In the tenth Cr+3.36+ site, Cr+3.36+ is bonded to six Se2- atoms to form CrSe6 octahedra that share corners with two equivalent CrSe6 octahedra, corners with two equivalent NaSe6 pentagonal pyramids, edges with six CrSe6 octahedra, and an edgeedge with one NaSe6 pentagonal pyramid. The corner-sharing octahedral tilt angles are 49°. There are a spread of Cr–Se bond distances ranging from 2.48–2.63 Å. In the eleventh Cr+3.36+ site, Cr+3.36+ is bonded to six Se2- atoms to form CrSe6 octahedra that share corners with two equivalent CrSe6 octahedra, corners with two equivalent NaSe6 pentagonal pyramids, and edges with four CrSe6 octahedra. The corner-sharing octahedral tilt angles are 55°. There are a spread of Cr–Se bond distances ranging from 2.38–2.56 Å. There are twenty inequivalent Se2- sites. In the first Se2- site, Se2- is bonded to two equivalent Na1+ and three Cr+3.36+ atoms to form SeNa2Cr3 square pyramids that share corners with three SeCr5 trigonal bipyramids, edges with two equivalent SeNa3Cr3 octahedra, edges with two equivalent SeNa2Cr3 square pyramids, and an edgeedge with one SeNa2Cr3 trigonal bipyramid. In the second Se2- site, Se2- is bonded in a 3-coordinate geometry to three Cr+3.36+ atoms. In the third Se2- site, Se2- is bonded in a distorted T-shaped geometry to three Cr+3.36+ atoms. In the fourth Se2- site, Se2- is bonded to five Cr+3.36+ atoms to form distorted SeCr5 square pyramids that share a cornercorner with one SeNa2Cr3 trigonal bipyramid, corners with two equivalent SeNaCr3 trigonal pyramids, edges with two equivalent SeCr5 square pyramids, and an edgeedge with one SeNaCr3 trigonal pyramid. In the fifth Se2- site, Se2- is bonded in a distorted rectangular see-saw-like geometry to one Na1+ and three Cr+3.36+ atoms. In the sixth Se2- site, Se2- is bonded in a rectangular see-saw-like geometry to four Cr+3.36+ atoms. In the seventh Se2- site, Se2- is bonded in a rectangular see-saw-like geometry to four Cr+3.36+ atoms. In the eighth Se2- site, Se2- is bonded in a distorted T-shaped geometry to three Cr+3.36+ atoms. In the ninth Se2- site, Se2- is bonded to three Na1+ and three Cr+3.36+ atoms to form SeNa3Cr3 octahedra that share corners with two equivalent SeCr5 trigonal bipyramids, corners with two equivalent SeNaCr3 trigonal pyramids, edges with four SeNa3Cr3 octahedra, and an edgeedge with one SeCr5 trigonal bipyramid. In the tenth Se2- site, Se2- is bonded in a 5-coordinate geometry to five Cr+3.36+ atoms. In the eleventh Se2- site, Se2- is bonded in a distorted trigonal planar geometry to three Cr+3.36+ atoms. In the twelfth Se2- site, Se2- is bonded to one Na1+ and three Cr+3.36+ atoms to form SeNaCr3 trigonal pyramids that share corners with two equivalent SeNa3Cr3 octahedra, corners with two equivalent SeCr5 square pyramids, corners with two equivalent SeNaCr3 trigonal pyramids, and an edgeedge with one SeCr5 square pyramid. The corner-sharing octahedral tilt angles are 40°. In the thirteenth Se2- site, Se2- is bonded to three Na1+ and three Cr+3.36+ atoms to form distorted SeNa3Cr3 octahedra that share corners with two equivalent SeNa2Cr3 trigonal bipyramids, edges with four SeNa3Cr3 octahedra, edges with two equivalent SeNa2Cr3 square pyramids, and edges with two equivalent SeCr5 trigonal bipyramids. In the fourteenth Se2- site, Se2- is bonded in a rectangular see-saw-like geometry to four Cr+3.36+ atoms. In the fifteenth Se2- site, Se2- is bonded in a distorted trigonal planar geometry to three Cr+3.36+ atoms. In the sixteenth Se2- site, Se2- is bonded in a 5-coordinate geometry to three Na1+ and two equivalent Cr+3.36+ atoms. In the seventeenth Se2- site, Se2- is bonded to five Cr+3.36+ atoms to form distorted SeCr5 trigonal bipyramids that share corners with two equivalent SeNa3Cr3 octahedra, a cornercorner with one SeNa2Cr3 square pyramid, edges with three SeNa3Cr3 octahedra, and edges with two equivalent SeCr5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 3°. In the eighteenth Se2- site, Se2- is bonded in a 4-coordinate geometry to three Na1+ and one Cr+3.36+ atom. In the nineteenth Se2- site, Se2- is bonded in a 3-coordinate geometry to three Cr+3.36+ atoms. In the twentieth Se2- site, Se2- is bonded to two equivalent Na1+ and three Cr+3.36+ atoms to form distorted SeNa2Cr3 trigonal bipyramids that share corners with two equivalent SeNa3Cr3 octahedra, corners with three SeNa2Cr3 square pyramids, an edgeedge with one SeNa2Cr3 square pyramid, and edges with two equivalent SeNa2Cr3 trigonal bipyramids. The corner-sharing octahedral tilt angles are 43°.

36 MATERIALS SCIENCE↗

Materials Data on SrLaCuRuO6 by Materials Project

SrLaCuRuO6 is Orthorhombic Perovskite-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are seven inequivalent Sr2+ sites. In the first Sr2+ site, Sr2+ is bonded in a 3-coordinate geometry to nine O2- atoms. There are a spread of Sr–O bond distances ranging from 2.52–2.91 Å. In the second Sr2+ site, Sr2+ is bonded in a 12-coordinate geometry to nine O2- atoms. There are a spread of Sr–O bond distances ranging from 2.49–2.87 Å. In the third Sr2+ site, Sr2+ is bonded in a 12-coordinate geometry to nine O2- atoms. There are a spread of Sr–O bond distances ranging from 2.49–2.96 Å. In the fourth Sr2+ site, Sr2+ is bonded in a 3-coordinate geometry to nine O2- atoms. There are a spread of Sr–O bond distances ranging from 2.48–2.85 Å. In the fifth Sr2+ site, Sr2+ is bonded in a 12-coordinate geometry to nine O2- atoms. There are a spread of Sr–O bond distances ranging from 2.50–2.93 Å. In the sixth Sr2+ site, Sr2+ is bonded in a 12-coordinate geometry to nine O2- atoms. There are a spread of Sr–O bond distances ranging from 2.49–2.95 Å. In the seventh Sr2+ site, Sr2+ is bonded in a 3-coordinate geometry to nine O2- atoms. There are a spread of Sr–O bond distances ranging from 2.48–2.99 Å. There are seven inequivalent La3+ sites. In the first La3+ site, La3+ is bonded in a 3-coordinate geometry to nine O2- atoms. There are a spread of La–O bond distances ranging from 2.38–2.95 Å. In the second La3+ site, La3+ is bonded in a 3-coordinate geometry to nine O2- atoms. There are a spread of La–O bond distances ranging from 2.38–2.95 Å. In the third La3+ site, La3+ is bonded in a 3-coordinate geometry to nine O2- atoms. There are a spread of La–O bond distances ranging from 2.38–2.97 Å. In the fourth La3+ site, La3+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of La–O bond distances ranging from 2.39–2.92 Å. In the fifth La3+ site, La3+ is bonded in a 3-coordinate geometry to nine O2- atoms. There are a spread of La–O bond distances ranging from 2.38–3.05 Å. In the sixth La3+ site, La3+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of La–O bond distances ranging from 2.37–2.85 Å. In the seventh La3+ site, La3+ is bonded in a 3-coordinate geometry to nine O2- atoms. There are a spread of La–O bond distances ranging from 2.42–2.90 Å. There are seven inequivalent Ru5+ sites. In the first Ru5+ site, Ru5+ is bonded to six O2- atoms to form RuO6 octahedra that share corners with three equivalent RuO6 octahedra and corners with three equivalent CuO6 octahedra. The corner-sharing octahedra tilt angles range from 19–24°. There are a spread of Ru–O bond distances ranging from 1.95–2.02 Å. In the second Ru5+ site, Ru5+ is bonded to six O2- atoms to form RuO6 octahedra that share corners with six CuO6 octahedra. The corner-sharing octahedra tilt angles range from 16–29°. There are a spread of Ru–O bond distances ranging from 1.94–2.02 Å. In the third Ru5+ site, Ru5+ is bonded to six O2- atoms to form RuO6 octahedra that share corners with three equivalent RuO6 octahedra and corners with three equivalent CuO6 octahedra. The corner-sharing octahedra tilt angles range from 19–22°. There are a spread of Ru–O bond distances ranging from 1.95–2.01 Å. In the fourth Ru5+ site, Ru5+ is bonded to six O2- atoms to form RuO6 octahedra that share corners with six CuO6 octahedra. The corner-sharing octahedra tilt angles range from 20–28°. There are a spread of Ru–O bond distances ranging from 1.94–2.01 Å. In the fifth Ru5+ site, Ru5+ is bonded to six O2- atoms to form RuO6 octahedra that share corners with six CuO6 octahedra. The corner-sharing octahedra tilt angles range from 20–27°. There are a spread of Ru–O bond distances ranging from 1.94–2.02 Å. In the sixth Ru5+ site, Ru5+ is bonded to six O2- atoms to form RuO6 octahedra that share corners with six CuO6 octahedra. The corner-sharing octahedra tilt angles range from 19–28°. There are a spread of Ru–O bond distances ranging from 1.94–2.03 Å. In the seventh Ru5+ site, Ru5+ is bonded to six O2- atoms to form RuO6 octahedra that share corners with six CuO6 octahedra. The corner-sharing octahedra tilt angles range from 22–30°. There are a spread of Ru–O bond distances ranging from 1.95–2.02 Å. There are seven inequivalent Cu2+ sites. In the first Cu2+ site, Cu2+ is bonded to six O2- atoms to form CuO6 octahedra that share corners with three equivalent RuO6 octahedra and corners with three equivalent CuO6 octahedra. The corner-sharing octahedra tilt angles range from 11–22°. There are a spread of Cu–O bond distances ranging from 1.96–2.13 Å. In the second Cu2+ site, Cu2+ is bonded to six O2- atoms to form CuO6 octahedra that share corners with six RuO6 octahedra. The corner-sharing octahedra tilt angles range from 16–25°. There are a spread of Cu–O bond distances ranging from 2.04–2.13 Å. In the third Cu2+ site, Cu2+ is bonded to six O2- atoms to form CuO6 octahedra that share corners with six RuO6 octahedra. The corner-sharing octahedra tilt angles range from 21–29°. There are a spread of Cu–O bond distances ranging from 2.03–2.12 Å. In the fourth Cu2+ site, Cu2+ is bonded to six O2- atoms to form CuO6 octahedra that share corners with six RuO6 octahedra. The corner-sharing octahedra tilt angles range from 20–27°. There are a spread of Cu–O bond distances ranging from 2.04–2.13 Å. In the fifth Cu2+ site, Cu2+ is bonded to six O2- atoms to form CuO6 octahedra that share corners with six RuO6 octahedra. The corner-sharing octahedra tilt angles range from 19–28°. There are a spread of Cu–O bond distances ranging from 2.04–2.14 Å. In the sixth Cu2+ site, Cu2+ is bonded to six O2- atoms to form CuO6 octahedra that share corners with six RuO6 octahedra. The corner-sharing octahedra tilt angles range from 22–30°. There are a spread of Cu–O bond distances ranging from 2.03–2.14 Å. In the seventh Cu2+ site, Cu2+ is bonded to six O2- atoms to form CuO6 octahedra that share corners with three equivalent RuO6 octahedra and corners with three equivalent CuO6 octahedra. The corner-sharing octahedra tilt angles range from 11–28°. There are a spread of Cu–O bond distances ranging from 1.98–2.13 Å. There are forty-two inequivalent O2- sites. In the first O2- site, O2- is bonded in a 5-coordinate geometry to three Sr2+, one Ru5+, and one Cu2+ atom. In the second O2- site, O2- is bonded in a 3-coordinate geometry to three Sr2+ and two Ru5+ atoms. In the third O2- site, O2- is bonded in a 5-coordinate geometry to three Sr2+ and two Ru5+ atoms. In the fourth O2- site, O2- is bonded in a 5-coordinate geometry to two equivalent Sr2+, one La3+, one Ru5+, and one Cu2+ atom. In the fifth O2- site, O2- is bonded in a 5-coordinate geometry to two equivalent Sr2+, one La3+, one Ru5+, and one Cu2+ atom. In the sixth O2- site, O2- is bonded in a 5-coordinate geometry to two Sr2+, one La3+, one Ru5+, and one Cu2+ atom. In the seventh O2- site, O2- is bonded in a 5-coordinate geometry to two Sr2+, one La3+, one Ru5+, and one Cu2+ atom. In the eighth O2- site, O2- is bonded in a 5-coordinate geometry to three Sr2+ and two Ru5+ atoms. In the ninth O2- site, O2- is bonded in a 3-coordinate geometry to one Sr2+, two equivalent La3+, one Ru5+, and one Cu2+ atom. In the tenth O2- site, O2- is bonded in a 5-coordinate geometry to three Sr2+, one Ru5+, and one Cu2+ atom. In the eleventh O2- site, O2- is bonded in a 5-coordinate geometry to two equivalent Sr2+, one La3+, one Ru5+, and one Cu2+ atom. In the twelfth O2- site, O2- is bonded in a 5-coordinate geometry to two Sr2+, one La3+, one Ru5+, and one Cu2+ atom. In the thirteenth O2- site, O2- is bonded in a 5-coordinate geometry to two Sr2+, one La3+, one Ru5+, and one Cu2+ atom. In the fourteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Sr2+, two equivalent La3+, one Ru5+, and one Cu2+ atom. In the fifteenth O2- site, O2- is bonded in a 5-coordinate geometry to one Sr2+, two equivalent La3+, one Ru5+, and one Cu2+ atom. In the sixteenth O2- site, O2- is bonded in a 5-coordinate geometry to two equivalent Sr2+, one La3+, one Ru5+, and one Cu2+ atom. In the seventeenth O2- site, O2- is bonded in a 5-coordinate geometry to two equivalent Sr2+, one La3+, one Ru5+, and one Cu2+ atom. In the eighteenth O2- site, O2- is bonded in a 5-coordinate geometry to one Sr2+, two La3+, one Ru5+, and one Cu2+ atom. In the nineteenth O2- site, O2- is bonded in a 5-coordinate geometry to two Sr2+, one La3+, one Ru5+, and one Cu2+ atom. In the twentieth O2- site, O2- is bonded in a 5-coordinate geometry to one Sr2+, two equivalent La3+, one Ru5+, and one Cu2+ atom. In the twenty-first O2- site, O2- is bonded in a 5-coordinate geometry to one Sr2+, two equivalent La3+, one Ru5+, and one Cu2+ atom. In the twenty-second O2- site, O2- is bonded in a 5-coordinate geometry to two equivalent Sr2+, one La3+, one Ru5+, and one Cu2+ atom. In the twenty-third O2- site, O2- is bonded in a 5-coordinate geometry to two equivalent Sr2+, one La3+, one Ru5+, and one Cu2+ atom. In the twenty-fourth O2- site, O2- is bonded in a 5-coordinate geometry to one Sr2+, two La3+, one Ru5+, and one Cu2+ atom. In the twenty-fifth O2- site, O2- is bonded in a 5-coordinate geometry to two Sr2+, one La3+, one Ru5+, and one Cu2+ atom. In the twenty-sixth O2- site, O2- is bonded in a 5-coordinate geometry to one Sr2+, two equivalent La3+, one Ru5+, and one Cu2+ atom. In the twenty-seventh O2- site, O2- is bonded in a 3-coordinate geometry to one Sr2+, two equivalent La3+, one Ru5+, and one Cu2+ atom. In the twenty-eighth O2- site, O2- is bonded in a 5-coordinate geometry to two equivalent Sr2+, one La3+, one Ru5+, and one Cu2+ atom. In the twenty-ninth O2- site, O2- is bonded in a 5-coordinate geometry to two equivalent Sr2+, one La3+, one Ru5+, and one Cu2+ atom. In the thirtieth O2- site, O2- is bonded in a 4-coordinate geometry to one Sr2+, two La3+, one Ru5+, and one Cu2+ atom. In the thirty-first O2- site, O2- is bonded in a 5-coordinate geometry to one Sr2+, two La3+, one Ru5+, and one Cu2+ atom. In the thirty-second O2- site, O2- is bonded in a 5-coordinate geometry to one Sr2+, two equivalent La3+, one Ru5+, and one Cu2+ atom. In the thirty-third O2- site, O2- is bonded in a 5-coordinate geometry to three La3+, one Ru5+, and one Cu2+ atom. In the thirty-fourth O2- site, O2- is bonded in a 5-coordinate geometry to two equivalent Sr2+, one La3+, one Ru5+, and one Cu2+ atom. In the thirty-fifth O2- site, O2- is bonded in a 5-coordinate geometry to three La3+, one Ru5+, and one Cu2+ atom. In the thirty-sixth O2- site, O2- is bonded in a 4-coordinate geometry to one Sr2+, two La3+, one Ru5+, and one Cu2+ atom. In the thirty-seventh O2- site, O2- is bonded in a 5-coordinate geometry to one Sr2+, two La3+, and two Cu2+ atoms. In the thirty-eighth O2- site, O2- is bonded in a 5-coordinate geometry to one Sr2+, two equivalent La3+, one Ru5+, and one Cu2+ atom. In the thirty-ninth O2- site, O2- is bonded in a 6-coordinate geometry to one Sr2+, three La3+, and two Cu2+ atoms. In the fortieth O2- site, O2- is bonded in a 5-coordinate geometry to three La3+, one Ru5+, and one Cu2+ atom. In the forty-first O2- site, O2- is bonded in a 5-coordinate geometry to three La3+, one Ru5+, and one Cu2+ atom. In the forty-second O2- site, O2- is bonded in a 3-coordinate geometry to three La3+ and two Cu2+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Na4AlP2HO9 by Materials Project

Na4Al(PO4)2(OH) crystallizes in the orthorhombic Pbcm space group. The structure is three-dimensional. there are seven inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Na–O bond distances ranging from 2.27–2.40 Å. In the second Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.31–2.56 Å. In the third Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share corners with two equivalent AlO6 octahedra, corners with two equivalent PO4 tetrahedra, edges with two equivalent NaO6 octahedra, and edges with two equivalent PO4 tetrahedra. The corner-sharing octahedral tilt angles are 68°. There are a spread of Na–O bond distances ranging from 2.37–2.58 Å. In the fourth Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.49–2.75 Å. In the fifth Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share corners with two equivalent AlO6 octahedra, corners with two equivalent PO4 tetrahedra, edges with two equivalent NaO6 octahedra, and edges with two equivalent PO4 tetrahedra. The corner-sharing octahedral tilt angles are 65°. There are a spread of Na–O bond distances ranging from 2.37–2.61 Å. In the sixth Na1+ site, Na1+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are two shorter (2.42 Å) and two longer (2.60 Å) Na–O bond lengths. In the seventh Na1+ site, Na1+ is bonded in a distorted pentagonal planar geometry to five O2- atoms. There are a spread of Na–O bond distances ranging from 2.24–2.40 Å. There are two inequivalent Al3+ sites. In the first Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with two equivalent NaO6 octahedra, corners with two equivalent AlO6 octahedra, and corners with four PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 47–68°. There is four shorter (1.91 Å) and two longer (1.96 Å) Al–O bond length. In the second Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with two equivalent NaO6 octahedra, corners with two equivalent AlO6 octahedra, and corners with four PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 46–65°. There are a spread of Al–O bond distances ranging from 1.91–1.95 Å. There are four inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two equivalent NaO6 octahedra and corners with two equivalent AlO6 octahedra. The corner-sharing octahedra tilt angles range from 46–64°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two equivalent NaO6 octahedra and corners with two equivalent AlO6 octahedra. The corner-sharing octahedra tilt angles range from 47–63°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two equivalent AlO6 octahedra and edges with two equivalent NaO6 octahedra. The corner-sharing octahedral tilt angles are 42°. There is two shorter (1.55 Å) and two longer (1.56 Å) P–O bond length. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two equivalent AlO6 octahedra and edges with two equivalent NaO6 octahedra. The corner-sharing octahedral tilt angles are 46°. There are a spread of P–O bond distances ranging from 1.53–1.57 Å. There are two inequivalent H1+ sites. In the first H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.98 Å. In the second H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.97 Å. There are fourteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a 1-coordinate geometry to one Na1+, two equivalent Al3+, and one H1+ atom. In the second O2- site, O2- is bonded in a distorted single-bond geometry to one Na1+, two equivalent Al3+, and one H1+ atom. In the third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Na1+ and one P5+ atom. In the fourth O2- site, O2- is bonded in a 1-coordinate geometry to four Na1+ and one P5+ atom. In the fifth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Al3+, and one P5+ atom. In the sixth O2- site, O2- is bonded in a 1-coordinate geometry to four Na1+ and one P5+ atom. In the seventh O2- site, O2- is bonded in a 2-coordinate geometry to one Na1+, one Al3+, and one P5+ atom. In the eighth O2- site, O2- is bonded to five Na1+ and one P5+ atom to form distorted corner-sharing ONa5P octahedra. The corner-sharing octahedral tilt angles are 5°. In the ninth O2- site, O2- is bonded to four Na1+ and one P5+ atom to form distorted ONa4P square pyramids that share corners with two equivalent ONa5P octahedra, an edgeedge with one ONa5P octahedra, and edges with two equivalent ONa4P square pyramids. The corner-sharing octahedral tilt angles are 15°. In the tenth O2- site, O2- is bonded in a 4-coordinate geometry to three Na1+ and one P5+ atom. In the eleventh O2- site, O2- is bonded in a 2-coordinate geometry to one Na1+, one Al3+, and one P5+ atom. In the twelfth O2- site, O2- is bonded to five Na1+ and one P5+ atom to form distorted ONa5P octahedra that share corners with two equivalent ONa4P square pyramids, edges with two equivalent ONa5P octahedra, and an edgeedge with one ONa4P square pyramid. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Al3+, and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a 3-coordinate geometry to two equivalent Na1+ and one P5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li4Ni5Sb3O16 by Materials Project

Li4Ni5Sb3O16 is Spinel-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are four inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four SbO6 octahedra and corners with eight NiO6 octahedra. The corner-sharing octahedra tilt angles range from 53–63°. There are a spread of Li–O bond distances ranging from 1.98–2.15 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 trigonal pyramids that share a cornercorner with one SbO6 octahedra, corners with five NiO6 octahedra, an edgeedge with one NiO6 octahedra, and edges with two equivalent SbO6 octahedra. The corner-sharing octahedra tilt angles range from 54–68°. There are a spread of Li–O bond distances ranging from 1.78–2.14 Å. In the third Li1+ site, Li1+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.80–1.97 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with five SbO6 octahedra and corners with seven NiO6 octahedra. The corner-sharing octahedra tilt angles range from 58–61°. There are a spread of Li–O bond distances ranging from 1.98–2.02 Å. There are five inequivalent Ni+2.60+ sites. In the first Ni+2.60+ site, Ni+2.60+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with two equivalent SbO6 octahedra, corners with four NiO6 octahedra, corners with three equivalent LiO4 tetrahedra, an edgeedge with one NiO6 octahedra, and edges with two equivalent SbO6 octahedra. The corner-sharing octahedra tilt angles range from 53–55°. There are a spread of Ni–O bond distances ranging from 2.06–2.20 Å. In the second Ni+2.60+ site, Ni+2.60+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with two equivalent NiO6 octahedra, corners with three LiO4 tetrahedra, an edgeedge with one NiO6 octahedra, edges with four equivalent SbO6 octahedra, and an edgeedge with one LiO4 trigonal pyramid. The corner-sharing octahedral tilt angles are 51°. There are a spread of Ni–O bond distances ranging from 2.03–2.11 Å. In the third Ni+2.60+ site, Ni+2.60+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with two equivalent NiO6 octahedra, corners with four equivalent SbO6 octahedra, corners with three equivalent LiO4 tetrahedra, corners with three equivalent LiO4 trigonal pyramids, an edgeedge with one SbO6 octahedra, and edges with two NiO6 octahedra. The corner-sharing octahedra tilt angles range from 51–53°. There are a spread of Ni–O bond distances ranging from 2.09–2.26 Å. In the fourth Ni+2.60+ site, Ni+2.60+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with two equivalent NiO6 octahedra, corners with three LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, edges with two equivalent SbO6 octahedra, and edges with three NiO6 octahedra. The corner-sharing octahedral tilt angles are 53°. There are a spread of Ni–O bond distances ranging from 1.95–2.02 Å. In the fifth Ni+2.60+ site, Ni+2.60+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with two equivalent NiO6 octahedra, corners with three LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, edges with two equivalent SbO6 octahedra, and edges with three NiO6 octahedra. The corner-sharing octahedral tilt angles are 53°. There are a spread of Ni–O bond distances ranging from 1.95–2.02 Å. There are two inequivalent Sb5+ sites. In the first Sb5+ site, Sb5+ is bonded to six O2- atoms to form SbO6 octahedra that share corners with two equivalent NiO6 octahedra, corners with three LiO4 tetrahedra, edges with two equivalent SbO6 octahedra, edges with three NiO6 octahedra, and an edgeedge with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 52–53°. There are a spread of Sb–O bond distances ranging from 1.97–2.05 Å. In the second Sb5+ site, Sb5+ is bonded to six O2- atoms to form SbO6 octahedra that share corners with two equivalent NiO6 octahedra, corners with three LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, and edges with five NiO6 octahedra. The corner-sharing octahedral tilt angles are 55°. There are a spread of Sb–O bond distances ranging from 2.01–2.03 Å. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Ni+2.60+, and one Sb5+ atom. In the second O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, one Ni+2.60+, and two equivalent Sb5+ atoms. In the third O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Ni+2.60+, and two equivalent Sb5+ atoms. In the fourth O2- site, O2- is bonded to one Li1+, one Ni+2.60+, and two equivalent Sb5+ atoms to form distorted OLiNiSb2 tetrahedra that share corners with four OLiNi2Sb tetrahedra and a cornercorner with one OLiNi3 trigonal pyramid. In the fifth O2- site, O2- is bonded to one Li1+, two Ni+2.60+, and one Sb5+ atom to form distorted OLiNi2Sb tetrahedra that share corners with two equivalent OLiNi3 tetrahedra, corners with three equivalent OLiNi2Sb trigonal pyramids, and an edgeedge with one OLiNi3 trigonal pyramid. In the sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Ni+2.60+, and one Sb5+ atom. In the seventh O2- site, O2- is bonded to one Li1+, two Ni+2.60+, and one Sb5+ atom to form distorted OLiNi2Sb tetrahedra that share corners with three OLiNiSb2 tetrahedra, corners with two OLiNi3 trigonal pyramids, and an edgeedge with one OLiNi2Sb tetrahedra. In the eighth O2- site, O2- is bonded to one Li1+, two Ni+2.60+, and one Sb5+ atom to form distorted OLiNi2Sb tetrahedra that share corners with three OLiNiSb2 tetrahedra, corners with two OLiNi3 trigonal pyramids, and an edgeedge with one OLiNi2Sb tetrahedra. The O–Sb bond length is 1.97 Å. In the ninth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Ni+2.60+, and two equivalent Sb5+ atoms. In the tenth O2- site, O2- is bonded to one Li1+ and three Ni+2.60+ atoms to form distorted OLiNi3 trigonal pyramids that share corners with five OLiNiSb2 tetrahedra, corners with two equivalent OLiNi2Sb trigonal pyramids, and an edgeedge with one OLiNi2Sb tetrahedra. In the eleventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Ni+2.60+, and one Sb5+ atom. In the twelfth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Ni+2.60+, and one Sb5+ atom. In the thirteenth O2- site, O2- is bonded to one Li1+, two Ni+2.60+, and one Sb5+ atom to form distorted OLiNi2Sb trigonal pyramids that share corners with five OLiNi2Sb tetrahedra, corners with two equivalent OLiNi3 trigonal pyramids, and an edgeedge with one OLiNi3 tetrahedra. In the fourteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Ni+2.60+, and one Sb5+ atom. In the fifteenth O2- site, O2- is bonded to one Li1+ and three Ni+2.60+ atoms to form distorted OLiNi3 tetrahedra that share corners with two equivalent OLiNi2Sb tetrahedra, corners with two equivalent OLiNi3 trigonal pyramids, and an edgeedge with one OLiNi2Sb trigonal pyramid. In the sixteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Ni+2.60+, and one Sb5+ atom. The O–Sb bond length is 1.97 Å.

36 MATERIALS SCIENCE↗

Materials Data on MnFeCo(PO4)3 by Materials Project

MnFeCo(PO4)3 crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are four inequivalent Mn2+ sites. In the first Mn2+ site, Mn2+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with two equivalent FeO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedral tilt angles are 49°. There are a spread of Mn–O bond distances ranging from 1.91–2.26 Å. In the second Mn2+ site, Mn2+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with four FeO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 49–50°. There are a spread of Mn–O bond distances ranging from 1.91–2.33 Å. In the third Mn2+ site, Mn2+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with two equivalent FeO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 49–50°. There are a spread of Mn–O bond distances ranging from 1.92–2.33 Å. In the fourth Mn2+ site, Mn2+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with two equivalent CoO6 octahedra, corners with two equivalent CoO6 pentagonal pyramids, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedral tilt angles are 47°. There are a spread of Mn–O bond distances ranging from 1.91–2.30 Å. There are four inequivalent Fe3+ sites. In the first Fe3+ site, Fe3+ is bonded to six O2- atoms to form distorted FeO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with two equivalent FeO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedral tilt angles are 50°. There are a spread of Fe–O bond distances ranging from 1.95–2.21 Å. In the second Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with four MnO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 49–50°. There are a spread of Fe–O bond distances ranging from 1.94–2.16 Å. In the third Fe3+ site, Fe3+ is bonded to six O2- atoms to form distorted FeO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with two equivalent FeO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 49–50°. There are a spread of Fe–O bond distances ranging from 1.93–2.16 Å. In the fourth Fe3+ site, Fe3+ is bonded to six O2- atoms to form distorted FeO6 octahedra that share corners with four CoO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 49–50°. There are a spread of Fe–O bond distances ranging from 1.94–2.17 Å. There are four inequivalent Co4+ sites. In the first Co4+ site, Co4+ is bonded to six O2- atoms to form distorted CoO6 octahedra that share corners with two equivalent CoO6 octahedra, corners with two equivalent CoO6 pentagonal pyramids, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedral tilt angles are 48°. There are a spread of Co–O bond distances ranging from 1.92–2.25 Å. In the second Co4+ site, Co4+ is bonded to six O2- atoms to form distorted CoO6 pentagonal pyramids that share corners with two equivalent MnO6 octahedra, corners with two equivalent CoO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 48–51°. There are a spread of Co–O bond distances ranging from 1.91–2.33 Å. In the third Co4+ site, Co4+ is bonded to six O2- atoms to form distorted CoO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with two equivalent FeO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 47–50°. There are a spread of Co–O bond distances ranging from 1.87–2.12 Å. In the fourth Co4+ site, Co4+ is bonded to six O2- atoms to form distorted CoO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with two equivalent CoO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 48–49°. There are a spread of Co–O bond distances ranging from 1.92–2.27 Å. There are twelve inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three FeO6 octahedra, a cornercorner with one CoO6 pentagonal pyramid, and an edgeedge with one MnO6 octahedra. The corner-sharing octahedra tilt angles range from 46–53°. There is two shorter (1.54 Å) and two longer (1.57 Å) P–O bond length. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one CoO6 octahedra, corners with two equivalent FeO6 octahedra, and an edgeedge with one MnO6 octahedra. The corner-sharing octahedra tilt angles range from 43–54°. There are a spread of P–O bond distances ranging from 1.53–1.57 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one CoO6 octahedra, corners with three MnO6 octahedra, and an edgeedge with one FeO6 octahedra. The corner-sharing octahedra tilt angles range from 38–55°. There is two shorter (1.53 Å) and two longer (1.58 Å) P–O bond length. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two MnO6 octahedra, corners with two equivalent FeO6 octahedra, and an edgeedge with one FeO6 octahedra. The corner-sharing octahedra tilt angles range from 42–54°. There is two shorter (1.54 Å) and two longer (1.57 Å) P–O bond length. In the fifth 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 CoO6 octahedra, corners with two equivalent MnO6 octahedra, and an edgeedge with one FeO6 octahedra. The corner-sharing octahedra tilt angles range from 46–55°. There are a spread of P–O bond distances ranging from 1.52–1.58 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two equivalent MnO6 octahedra, corners with two FeO6 octahedra, and an edgeedge with one MnO6 octahedra. The corner-sharing octahedra tilt angles range from 41–54°. There is two shorter (1.53 Å) and two longer (1.57 Å) P–O bond length. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with three CoO6 octahedra, and an edgeedge with one CoO6 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 47–53°. There are a spread of P–O bond distances ranging from 1.53–1.58 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, corners with two equivalent MnO6 octahedra, a cornercorner with one CoO6 pentagonal pyramid, and an edgeedge with one CoO6 octahedra. The corner-sharing octahedra tilt angles range from 40–56°. There are a spread of P–O bond distances ranging from 1.52–1.59 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 CoO6 octahedra, corners with two equivalent FeO6 octahedra, and an edgeedge with one CoO6 octahedra. The corner-sharing octahedra tilt angles range from 43–55°. There are a spread of P–O bond distances ranging from 1.54–1.56 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 CoO6 octahedra, corners with two equivalent CoO6 pentagonal pyramids, and an edgeedge with one MnO6 octahedra. The corner-sharing octahedra tilt angles range from 45–52°. There are a spread of P–O bond distances ranging from 1.52–1.58 Å. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two FeO6 octahedra, corners with two equivalent CoO6 octahedra, and an edgeedge with one CoO6 octahedra. The corner-sharing octahedra tilt angles range from 43–54°. There is two shorter (1.52 Å) and two longer (1.59 Å) P–O bond length. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two MnO6 octahedra, corners with two equivalent CoO6 octahedra, and an edgeedge with one FeO6 octahedra. The corner-sharing octahedra tilt angles range from 42–56°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. There are thirty-six inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Fe3+ and one P5+ atom. In the second O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Fe3+ and one P5+ atom. In the third O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Mn2+ and one P5+ atom. In the fourth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Fe3+ and one P5+ atom. In the fifth O2- site, O2- is bonded in a bent 120 degrees geometry to one Mn2+ and one P5+ atom. In the sixth O2- site, O2- is bonded in a bent 120 degrees geometry to one Mn2+ and one P5+ atom. In the seventh O2- site, O2- is bonded in a 3-coordinate geometry to one Mn2+, one Fe3+, and one P5+ atom. In the eighth O2- site, O2- is bonded in a 3-coordinate geometry to one Mn2+, one Fe3+, and one P5+ atom. In the ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Mn2+, one Fe3+, and one P5+ atom. In the tenth O2- site, O2- is bonded in a 3-coordinate geometry to two Fe3+ and one P5+ atom. In the eleventh O2- site, O2- is bonded in a 3-coordinate geometry to one Mn2+, one Fe3+, and one P5+ atom. In the twelfth O2- site, O2- is bonded in a 3-coordinate geometry to two Mn2+ and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Fe3+ and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Fe3+ and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a bent 120 degrees geometry to one Mn2+ and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Mn2+ and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Fe3+ and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Mn2+ and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Mn2+ and one P5+ atom. In the twentieth O2- site, O2- is bonded in a bent 150 degrees geometry to one Fe3+ and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Co4+ and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Co4+ and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a bent 120 degrees geometry to one Co4+ and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Co4+ and one P5+ atom. In the twenty-fifth O2- site, O2- is bonded in a 3-coordinate geometry to two Co4+ and one P5+ atom. In the twenty-sixth O2- site, O2- is bonded in a 3-coordinate geometry to one Fe3+, one Co4+, and one P5+ atom. In the twenty-seventh O2- site, O2- is bo

36 MATERIALS SCIENCE↗

Materials Data on Sr2Fe23O38 by Materials Project

Sr2Fe23O38 is beta indium sulfide-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are two inequivalent Sr sites. In the first Sr site, Sr is bonded to twelve O atoms to form distorted SrO12 cuboctahedra that share corners with six equivalent SrO12 cuboctahedra, edges with six FeO6 octahedra, edges with three equivalent FeO5 trigonal bipyramids, and faces with six FeO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.78–3.00 Å. In the second Sr site, Sr is bonded to twelve O atoms to form distorted SrO12 cuboctahedra that share corners with six equivalent SrO12 cuboctahedra, edges with six FeO6 octahedra, and faces with six FeO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.82–3.05 Å. There are twenty-three inequivalent Fe sites. In the first Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with three FeO4 tetrahedra, a cornercorner with one FeO5 trigonal bipyramid, an edgeedge with one SrO12 cuboctahedra, and edges with five FeO6 octahedra. The corner-sharing octahedral tilt angles are 57°. There are a spread of Fe–O bond distances ranging from 1.94–2.15 Å. In the second Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with three FeO4 tetrahedra, a cornercorner with one FeO5 trigonal bipyramid, an edgeedge with one SrO12 cuboctahedra, and edges with five FeO6 octahedra. The corner-sharing octahedra tilt angles range from 52–53°. There are a spread of Fe–O bond distances ranging from 1.95–2.13 Å. In the third Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with six FeO6 octahedra, faces with three equivalent SrO12 cuboctahedra, and a faceface with one FeO6 octahedra. The corner-sharing octahedra tilt angles range from 50–53°. There are a spread of Fe–O bond distances ranging from 1.86–2.03 Å. In the fourth Fe site, Fe is bonded to four O atoms to form corner-sharing FeO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–61°. There is three shorter (1.93 Å) and one longer (1.95 Å) Fe–O bond length. In the fifth Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with three FeO4 tetrahedra, a cornercorner with one FeO5 trigonal bipyramid, an edgeedge with one SrO12 cuboctahedra, and edges with five FeO6 octahedra. The corner-sharing octahedra tilt angles range from 51–54°. There are a spread of Fe–O bond distances ranging from 1.92–2.06 Å. In the sixth Fe site, Fe is bonded to six O atoms to form distorted FeO6 octahedra that share corners with six FeO6 octahedra, faces with three equivalent SrO12 cuboctahedra, and a faceface with one FeO6 octahedra. The corner-sharing octahedra tilt angles range from 50–56°. There are a spread of Fe–O bond distances ranging from 1.95–2.06 Å. In the seventh Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with six FeO4 tetrahedra and edges with six FeO6 octahedra. There is four shorter (1.97 Å) and two longer (1.98 Å) Fe–O bond length. In the eighth Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with six FeO4 tetrahedra and edges with six FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.01–2.05 Å. In the ninth Fe site, Fe is bonded to five O atoms to form FeO5 trigonal bipyramids that share corners with twelve FeO6 octahedra and edges with three equivalent SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 39–64°. There are a spread of Fe–O bond distances ranging from 1.88–2.34 Å. In the tenth Fe site, Fe is bonded to four O atoms to form corner-sharing FeO4 tetrahedra. The corner-sharing octahedra tilt angles range from 54–60°. There are a spread of Fe–O bond distances ranging from 1.91–1.95 Å. In the eleventh Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with three FeO4 tetrahedra, a cornercorner with one FeO5 trigonal bipyramid, an edgeedge with one SrO12 cuboctahedra, and edges with five FeO6 octahedra. The corner-sharing octahedra tilt angles range from 52–53°. There are a spread of Fe–O bond distances ranging from 1.95–2.13 Å. In the twelfth Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with three FeO4 tetrahedra, a cornercorner with one FeO5 trigonal bipyramid, an edgeedge with one SrO12 cuboctahedra, and edges with five FeO6 octahedra. The corner-sharing octahedral tilt angles are 53°. There are a spread of Fe–O bond distances ranging from 1.95–2.14 Å. In the thirteenth Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with three FeO4 tetrahedra, a cornercorner with one FeO5 trigonal bipyramid, an edgeedge with one SrO12 cuboctahedra, and edges with five FeO6 octahedra. The corner-sharing octahedra tilt angles range from 51–54°. There are a spread of Fe–O bond distances ranging from 1.92–2.05 Å. In the fourteenth Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with three FeO4 tetrahedra, an edgeedge with one SrO12 cuboctahedra, and edges with five FeO6 octahedra. The corner-sharing octahedra tilt angles range from 52–53°. There are a spread of Fe–O bond distances ranging from 1.90–2.14 Å. In the fifteenth Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with three FeO4 tetrahedra, an edgeedge with one SrO12 cuboctahedra, and edges with five FeO6 octahedra. The corner-sharing octahedra tilt angles range from 51–54°. There are a spread of Fe–O bond distances ranging from 1.92–2.18 Å. In the sixteenth Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with six FeO6 octahedra, corners with three equivalent FeO5 trigonal bipyramids, faces with three equivalent SrO12 cuboctahedra, and a faceface with one FeO6 octahedra. The corner-sharing octahedra tilt angles range from 51–57°. There are a spread of Fe–O bond distances ranging from 2.01–2.09 Å. In the seventeenth Fe site, Fe is bonded to four O atoms to form corner-sharing FeO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–60°. There are a spread of Fe–O bond distances ranging from 1.93–1.95 Å. In the eighteenth Fe site, Fe is bonded to four O atoms to form corner-sharing FeO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–60°. There is two shorter (1.93 Å) and two longer (1.95 Å) Fe–O bond length. In the nineteenth Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with six FeO6 octahedra, corners with three equivalent FeO5 trigonal bipyramids, faces with three equivalent SrO12 cuboctahedra, and a faceface with one FeO6 octahedra. The corner-sharing octahedra tilt angles range from 52–53°. There are a spread of Fe–O bond distances ranging from 2.00–2.09 Å. In the twentieth Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with three FeO4 tetrahedra, an edgeedge with one SrO12 cuboctahedra, and edges with five FeO6 octahedra. The corner-sharing octahedra tilt angles range from 52–56°. There are a spread of Fe–O bond distances ranging from 1.96–2.15 Å. In the twenty-first Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with three FeO4 tetrahedra, an edgeedge with one SrO12 cuboctahedra, and edges with five FeO6 octahedra. The corner-sharing octahedra tilt angles range from 51–52°. There are a spread of Fe–O bond distances ranging from 1.93–2.15 Å. In the twenty-second Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with three FeO4 tetrahedra, an edgeedge with one SrO12 cuboctahedra, and edges with five FeO6 octahedra. The corner-sharing octahedra tilt angles range from 50–51°. There are a spread of Fe–O bond distances ranging from 1.93–2.16 Å. In the twenty-third Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with three FeO4 tetrahedra, an edgeedge with one SrO12 cuboctahedra, and edges with five FeO6 octahedra. The corner-sharing octahedra tilt angles range from 50–53°. There are a spread of Fe–O bond distances ranging from 1.96–2.15 Å. There are thirty-eight inequivalent O sites. In the first O site, O is bonded in a rectangular see-saw-like geometry to four Fe atoms. In the second O site, O is bonded in a rectangular see-saw-like geometry to four Fe atoms. In the third O site, O is bonded in a 4-coordinate geometry to one Sr and three Fe atoms. In the fourth O site, O is bonded in a 4-coordinate geometry to one Sr and three Fe atoms. In the fifth O site, O is bonded in a distorted L-shaped geometry to two equivalent Sr and two Fe atoms. In the sixth O site, O is bonded in a rectangular see-saw-like geometry to four Fe atoms. In the seventh O site, O is bonded in a rectangular see-saw-like geometry to four Fe atoms. In the eighth O site, O is bonded in a rectangular see-saw-like geometry to four Fe atoms. In the ninth O site, O is bonded in a trigonal non-coplanar geometry to three Fe atoms. In the tenth O site, O is bonded in a trigonal non-coplanar geometry to three Fe atoms. In the eleventh O site, O is bonded to four Fe atoms to form a mixture of distorted edge and corner-sharing OFe4 tetrahedra. In the twelfth O site, O is bonded in a rectangular see-saw-like geometry to four Fe atoms. In the thirteenth O site, O is bonded to four Fe atoms to form distorted corner-sharing OFe4 trigonal pyramids. In the fourteenth O site, O is bonded in a distorted L-shaped geometry to two equivalent Sr and two Fe atoms. In the fifteenth O site, O is bonded in a 4-coordinate geometry to one Sr and three Fe atoms. In the sixteenth O site, O is bonded in a 4-coordinate geometry to one Sr and three Fe atoms. In the seventeenth O site, O is bonded in a distorted L-shaped geometry to two equivalent Sr and two Fe atoms. In the eighteenth O site, O is bonded in a rectangular see-saw-like geometry to four Fe atoms. In the nineteenth O site, O is bonded in a rectangular see-saw-like geometry to four Fe atoms. In the twentieth O site, O is bonded in a 4-coordinate geometry to one Sr and three Fe atoms. In the twenty-first O site, O is bonded in a 4-coordinate geometry to one Sr and three Fe atoms. In the twenty-second O site, O is bonded in a 4-coordinate geometry to one Sr and three Fe atoms. In the twenty-third O site, O is bonded in a 4-coordinate geometry to one Sr and three Fe atoms. In the twenty-fourth O site, O is bonded in a rectangular see-saw-like geometry to four Fe atoms. In the twenty-fifth O site, O is bonded in a rectangular see-saw-like geometry to four Fe atoms. In the twenty-sixth O site, O is bonded in a 5-coordinate geometry to two equivalent Sr and three Fe atoms. In the twenty-seventh O site, O is bonded in a 4-coordinate geometry to one Sr and three Fe atoms. In the twenty-eighth O site, O is bonded in a 4-coordinate geometry to one Sr and three Fe atoms. In the twenty-ninth O site, O is bonded in a rectangular see-saw-like geometry to four Fe atoms. In the thirtieth O site, O is bonded in a rectangular see-saw-like geometry to four Fe atoms. In the thirty-first O site, O is bonded in a 5-coordinate geometry to two equivalent Sr and three Fe atoms. In the thirty-second O site, O is bonded in a rectangular see-saw-like geometry to four Fe atoms. In the thirty-third O site, O is bonded in a rectangular see-saw-like geometry to four Fe atom

36 MATERIALS SCIENCE↗

Materials Data on Li4Ti2Nb3Co3O16 by Materials Project

Li4Ti2Nb3Co3O16 is Hausmannite-derived structured and crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are four inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four CoO6 octahedra and corners with five NbO6 octahedra. The corner-sharing octahedra tilt angles range from 47–60°. There are a spread of Li–O bond distances ranging from 1.94–2.03 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one CoO6 octahedra, corners with two equivalent NbO6 octahedra, an edgeedge with one NbO6 octahedra, and edges with two equivalent CoO6 octahedra. The corner-sharing octahedra tilt angles range from 63–66°. There are a spread of Li–O bond distances ranging from 1.89–2.07 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 trigonal pyramids that share a cornercorner with one NbO6 octahedra, corners with two equivalent CoO6 octahedra, corners with three equivalent TiO6 octahedra, an edgeedge with one CoO6 octahedra, and edges with two equivalent NbO6 octahedra. The corner-sharing octahedra tilt angles range from 60–68°. There are a spread of Li–O bond distances ranging from 1.84–2.22 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three equivalent TiO6 octahedra, corners with four NbO6 octahedra, and corners with five CoO6 octahedra. The corner-sharing octahedra tilt angles range from 50–66°. There is one shorter (1.97 Å) and three longer (1.98 Å) Li–O bond length. There are two inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with two equivalent CoO6 octahedra, corners with four equivalent NbO6 octahedra, corners with three equivalent LiO4 tetrahedra, corners with three equivalent LiO4 trigonal pyramids, an edgeedge with one NbO6 octahedra, and edges with two equivalent CoO6 octahedra. The corner-sharing octahedra tilt angles range from 48–55°. There are a spread of Ti–O bond distances ranging from 1.82–2.37 Å. In the second Ti4+ site, Ti4+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ti–O bond distances ranging from 1.81–2.42 Å. There are two inequivalent Nb5+ sites. In the first Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with three LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one TiO6 octahedra, edges with four equivalent CoO6 octahedra, and an edgeedge with one LiO4 tetrahedra. There are a spread of Nb–O bond distances ranging from 1.94–2.23 Å. In the second Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with two equivalent TiO6 octahedra, corners with four LiO4 tetrahedra, edges with two equivalent NbO6 octahedra, edges with two equivalent CoO6 octahedra, and an edgeedge with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 54–55°. There are a spread of Nb–O bond distances ranging from 1.94–2.17 Å. There are two inequivalent Co+1.67+ sites. In the first Co+1.67+ site, Co+1.67+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with three LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one TiO6 octahedra, edges with two equivalent NbO6 octahedra, edges with two equivalent CoO6 octahedra, and an edgeedge with one LiO4 tetrahedra. There are a spread of Co–O bond distances ranging from 2.02–2.21 Å. In the second Co+1.67+ site, Co+1.67+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with two equivalent TiO6 octahedra, corners with four LiO4 tetrahedra, edges with four equivalent NbO6 octahedra, and an edgeedge with one LiO4 trigonal pyramid. The corner-sharing octahedral tilt angles are 48°. There are a spread of Co–O bond distances ranging from 2.05–2.27 Å. There are twelve inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Ti4+, one Nb5+, and one Co+1.67+ atom. In the second O2- site, O2- is bonded to one Li1+, one Ti4+, and two equivalent Co+1.67+ atoms to form distorted corner-sharing OLiTiCo2 tetrahedra. In the third O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Nb5+, and two equivalent Co+1.67+ atoms. In the fourth O2- site, O2- is bonded to one Li1+, one Nb5+, and two equivalent Co+1.67+ atoms to form corner-sharing OLiNbCo2 tetrahedra. In the fifth O2- site, O2- is bonded to one Li1+, two equivalent Nb5+, and one Co+1.67+ atom to form distorted corner-sharing OLiNb2Co tetrahedra. In the sixth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Ti4+, one Nb5+, and one Co+1.67+ atom. In the seventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Ti4+, and two equivalent Co+1.67+ atoms. In the eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Ti4+, and two equivalent Nb5+ atoms. In the ninth O2- site, O2- is bonded to one Li1+, one Ti4+, one Nb5+, and one Co+1.67+ atom to form a mixture of distorted edge and corner-sharing OLiTiNbCo tetrahedra. In the tenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two equivalent Nb5+, and one Co+1.67+ atom. In the eleventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Ti4+, one Nb5+, and one Co+1.67+ atom. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, one Ti4+, and two equivalent Nb5+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Li4Fe3Cu3(SnO8)2 by Materials Project

Li4Fe3Cu3(SnO8)2 is Spinel-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are four inequivalent Li sites. In the first Li site, Li is bonded to four O atoms to form LiO4 tetrahedra that share corners with three equivalent SnO6 octahedra, corners with four CuO6 octahedra, and corners with five FeO6 octahedra. The corner-sharing octahedra tilt angles range from 57–61°. There are a spread of Li–O bond distances ranging from 1.92–2.10 Å. In the second Li site, Li is bonded to four O atoms to form distorted LiO4 trigonal pyramids that share a cornercorner with one CuO6 octahedra, corners with two FeO6 octahedra, corners with three equivalent SnO6 octahedra, an edgeedge with one FeO6 octahedra, and edges with two CuO6 octahedra. The corner-sharing octahedra tilt angles range from 59–65°. There are a spread of Li–O bond distances ranging from 1.84–1.96 Å. In the third Li site, Li is bonded in a rectangular see-saw-like geometry to four O atoms. There are a spread of Li–O bond distances ranging from 1.85–2.01 Å. In the fourth Li site, Li is bonded to four O atoms to form LiO4 tetrahedra that share corners with three equivalent SnO6 octahedra, corners with four FeO6 octahedra, and corners with five CuO6 octahedra. The corner-sharing octahedra tilt angles range from 56–63°. There are a spread of Li–O bond distances ranging from 1.95–2.09 Å. There are three inequivalent Fe sites. In the first Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with two equivalent SnO6 octahedra, corners with three LiO4 tetrahedra, an edgeedge with one SnO6 octahedra, edges with four CuO6 octahedra, and an edgeedge with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 50–53°. There are a spread of Fe–O bond distances ranging from 2.01–2.05 Å. In the second Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with two equivalent SnO6 octahedra, corners with three LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one SnO6 octahedra, edges with two equivalent FeO6 octahedra, and edges with two equivalent CuO6 octahedra. The corner-sharing octahedra tilt angles range from 49–54°. There are a spread of Fe–O bond distances ranging from 2.01–2.06 Å. In the third Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with two equivalent SnO6 octahedra, corners with three LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one SnO6 octahedra, edges with two equivalent FeO6 octahedra, and edges with two equivalent CuO6 octahedra. The corner-sharing octahedra tilt angles range from 51–52°. There are a spread of Fe–O bond distances ranging from 2.01–2.07 Å. There are three inequivalent Cu sites. In the first Cu site, Cu is bonded to six O atoms to form CuO6 octahedra that share corners with two equivalent SnO6 octahedra, corners with three LiO4 tetrahedra, an edgeedge with one SnO6 octahedra, edges with two equivalent FeO6 octahedra, edges with two equivalent CuO6 octahedra, and an edgeedge with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 52–53°. There are a spread of Cu–O bond distances ranging from 1.93–2.08 Å. In the second Cu site, Cu is bonded to six O atoms to form CuO6 octahedra that share corners with two equivalent SnO6 octahedra, corners with three LiO4 tetrahedra, an edgeedge with one SnO6 octahedra, edges with two equivalent FeO6 octahedra, edges with two equivalent CuO6 octahedra, and an edgeedge with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 52–55°. There are a spread of Cu–O bond distances ranging from 1.93–2.11 Å. In the third Cu site, Cu is bonded to six O atoms to form CuO6 octahedra that share corners with two equivalent SnO6 octahedra, corners with three LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one SnO6 octahedra, and edges with four FeO6 octahedra. The corner-sharing octahedra tilt angles range from 53–54°. There are a spread of Cu–O bond distances ranging from 1.89–2.11 Å. There are two inequivalent Sn sites. In the first Sn site, Sn is bonded to six O atoms to form SnO6 octahedra that share corners with two equivalent CuO6 octahedra, corners with four FeO6 octahedra, corners with three equivalent LiO4 tetrahedra, an edgeedge with one FeO6 octahedra, and edges with two CuO6 octahedra. The corner-sharing octahedra tilt angles range from 49–54°. There are a spread of Sn–O bond distances ranging from 2.06–2.16 Å. In the second Sn site, Sn is bonded to six O atoms to form SnO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with four CuO6 octahedra, corners with three equivalent LiO4 tetrahedra, corners with three equivalent LiO4 trigonal pyramids, an edgeedge with one CuO6 octahedra, and edges with two FeO6 octahedra. The corner-sharing octahedra tilt angles range from 50–55°. There are a spread of Sn–O bond distances ranging from 2.07–2.16 Å. There are sixteen inequivalent O sites. In the first O site, O is bonded in a rectangular see-saw-like geometry to one Li, one Fe, one Cu, and one Sn atom. In the second O site, O is bonded to one Li, two Cu, and one Sn atom to form distorted OLiCu2Sn trigonal pyramids that share corners with two equivalent OLiFeCu2 tetrahedra, a cornercorner with one OLiFeCuSn trigonal pyramid, and edges with two OLiFeCuSn trigonal pyramids. In the third O site, O is bonded to one Li, one Fe, and two Cu atoms to form distorted OLiFeCu2 trigonal pyramids that share corners with four OLiFeCu2 tetrahedra, a cornercorner with one OLiFeCuSn trigonal pyramid, and edges with two OLiFeCuSn trigonal pyramids. In the fourth O site, O is bonded to one Li, one Fe, and two Cu atoms to form corner-sharing OLiFeCu2 tetrahedra. In the fifth O site, O is bonded to one Li, two Fe, and one Cu atom to form distorted OLiFe2Cu tetrahedra that share corners with two equivalent OLiFe2Sn tetrahedra and corners with two equivalent OLiFeCuSn trigonal pyramids. In the sixth O site, O is bonded in a rectangular see-saw-like geometry to one Li, one Fe, one Cu, and one Sn atom. In the seventh O site, O is bonded to one Li, one Fe, one Cu, and one Sn atom to form distorted OLiFeCuSn trigonal pyramids that share corners with two equivalent OLiFeCu2 tetrahedra, a cornercorner with one OLiCu2Sn trigonal pyramid, and edges with two OLiCu2Sn trigonal pyramids. In the eighth O site, O is bonded in a distorted rectangular see-saw-like geometry to one Li, one Fe, one Cu, and one Sn atom. In the ninth O site, O is bonded in a rectangular see-saw-like geometry to one Li, two Cu, and one Sn atom. In the tenth O site, O is bonded in a rectangular see-saw-like geometry to one Li, two Fe, and one Sn atom. In the eleventh O site, O is bonded in a distorted rectangular see-saw-like geometry to one Li, one Fe, one Cu, and one Sn atom. In the twelfth O site, O is bonded to one Li, one Fe, one Cu, and one Sn atom to form distorted OLiFeCuSn trigonal pyramids that share corners with three OLiFe2Cu tetrahedra, a cornercorner with one OLiFeCu2 trigonal pyramid, and an edgeedge with one OLiFe2Sn tetrahedra. In the thirteenth O site, O is bonded in a rectangular see-saw-like geometry to one Li, two Fe, and one Cu atom. In the fourteenth O site, O is bonded in a rectangular see-saw-like geometry to one Li, one Fe, one Cu, and one Sn atom. In the fifteenth O site, O is bonded to one Li, two Fe, and one Sn atom to form distorted OLiFe2Sn tetrahedra that share corners with two equivalent OLiFe2Cu tetrahedra, corners with two OLiFeCu2 trigonal pyramids, and an edgeedge with one OLiFeCuSn trigonal pyramid. In the sixteenth O site, O is bonded in a rectangular see-saw-like geometry to one Li, one Fe, one Cu, and one Sn atom.

36 MATERIALS SCIENCE↗

Materials Data on Li4MnFe3(PO4)4 by Materials Project

Li4MnFe3(PO4)4 is Ilmenite-derived structured and crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are six inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with two equivalent FeO6 octahedra, corners with two PO4 tetrahedra, edges with two LiO6 octahedra, edges with two FeO6 octahedra, and edges with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 59–70°. There are a spread of Li–O bond distances ranging from 2.11–2.23 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with two equivalent FeO6 octahedra, corners with two equivalent PO4 tetrahedra, edges with two equivalent LiO6 octahedra, edges with two equivalent FeO6 octahedra, and edges with two equivalent PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 59–69°. There are a spread of Li–O bond distances ranging from 2.12–2.24 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with two equivalent FeO6 octahedra, corners with two equivalent PO4 tetrahedra, edges with two equivalent LiO6 octahedra, edges with two equivalent FeO6 octahedra, and edges with two equivalent PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 59–68°. There are a spread of Li–O bond distances ranging from 2.10–2.23 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with four FeO6 octahedra, corners with two PO4 tetrahedra, an edgeedge with one MnO6 octahedra, an edgeedge with one FeO6 octahedra, edges with two LiO6 octahedra, and edges with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 59–69°. There are a spread of Li–O bond distances ranging from 2.11–2.22 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with four FeO6 octahedra, corners with two equivalent PO4 tetrahedra, edges with two equivalent LiO6 octahedra, edges with two equivalent MnO6 octahedra, and edges with two equivalent PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 59–69°. There are two shorter (2.12 Å) and four longer (2.22 Å) Li–O bond lengths. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with four FeO6 octahedra, corners with two equivalent PO4 tetrahedra, edges with two equivalent LiO6 octahedra, edges with two equivalent FeO6 octahedra, and edges with two equivalent PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 59–69°. There are a spread of Li–O bond distances ranging from 2.11–2.22 Å. Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with four LiO6 octahedra, corners with four FeO6 octahedra, corners with four PO4 tetrahedra, edges with two LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 52–70°. There are a spread of Mn–O bond distances ranging from 2.14–2.29 Å. There are three inequivalent Fe2+ sites. In the first Fe2+ site, Fe2+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with two equivalent FeO6 octahedra, corners with four LiO6 octahedra, corners with four PO4 tetrahedra, edges with two LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 52–69°. There are a spread of Fe–O bond distances ranging from 2.09–2.29 Å. In the second Fe2+ site, Fe2+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with two equivalent FeO6 octahedra, corners with four LiO6 octahedra, corners with four PO4 tetrahedra, edges with two LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 52–69°. There are a spread of Fe–O bond distances ranging from 2.09–2.29 Å. In the third Fe2+ site, Fe2+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with four LiO6 octahedra, corners with four FeO6 octahedra, corners with four PO4 tetrahedra, edges with two LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 52–68°. There are a spread of Fe–O bond distances ranging from 2.09–2.28 Å. There are four inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with two LiO6 octahedra, corners with three FeO6 octahedra, an edgeedge with one FeO6 octahedra, and edges with two LiO6 octahedra. The corner-sharing octahedra tilt angles range from 51–58°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two LiO6 octahedra, corners with four FeO6 octahedra, an edgeedge with one MnO6 octahedra, and edges with two LiO6 octahedra. The corner-sharing octahedra tilt angles range from 51–59°. There are a spread of P–O bond distances ranging from 1.53–1.58 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two LiO6 octahedra, corners with two equivalent MnO6 octahedra, corners with two FeO6 octahedra, an edgeedge with one FeO6 octahedra, and edges with two LiO6 octahedra. The corner-sharing octahedra tilt angles range from 51–58°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with two LiO6 octahedra, corners with three FeO6 octahedra, an edgeedge with one FeO6 octahedra, and edges with two LiO6 octahedra. The corner-sharing octahedra tilt angles range from 51–58°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Li1+, one Fe2+, and one P5+ atom. In the second O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Li1+, one Fe2+, and one P5+ atom. In the third O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Fe2+, and one P5+ atom. In the fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Mn2+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Fe2+, and one P5+ atom. In the sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Mn2+, one Fe2+, and one P5+ atom. In the seventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Fe2+, and one P5+ atom. In the eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Mn2+, one Fe2+, and one P5+ atom. In the ninth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Mn2+, one Fe2+, and one P5+ atom. In the tenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Fe2+, and one P5+ atom. In the eleventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Mn2+, one Fe2+, and one P5+ atom. In the twelfth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Fe2+, and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Fe2+, and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Fe2+, and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Li1+, one Mn2+, and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Li1+, one Fe2+, and one P5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Ba5V5O14 by Materials Project

Ba5V5O14 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are ten inequivalent Ba2+ sites. In the first Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form distorted BaO12 cuboctahedra that share corners with six equivalent BaO12 cuboctahedra, corners with three equivalent VO6 octahedra, faces with three equivalent BaO12 cuboctahedra, faces with six VO6 octahedra, and a faceface with one VO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 7–10°. There are a spread of Ba–O bond distances ranging from 2.88–3.16 Å. In the second Ba2+ site, Ba2+ is bonded in a 11-coordinate geometry to eleven O2- atoms. There are a spread of Ba–O bond distances ranging from 2.68–3.24 Å. In the third Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form distorted BaO12 cuboctahedra that share corners with six equivalent BaO12 cuboctahedra, corners with three equivalent VO6 octahedra, faces with six VO6 octahedra, and a faceface with one VO5 square pyramid. The corner-sharing octahedra tilt angles range from 9–11°. There are a spread of Ba–O bond distances ranging from 2.85–3.13 Å. In the fourth Ba2+ site, Ba2+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of Ba–O bond distances ranging from 2.70–3.15 Å. In the fifth Ba2+ site, Ba2+ is bonded in a distorted q6 geometry to ten O2- atoms. There are a spread of Ba–O bond distances ranging from 2.75–3.05 Å. In the sixth Ba2+ site, Ba2+ is bonded in a distorted q6 geometry to ten O2- atoms. There are a spread of Ba–O bond distances ranging from 2.76–3.00 Å. In the seventh Ba2+ site, Ba2+ is bonded in a 11-coordinate geometry to eleven O2- atoms. There are a spread of Ba–O bond distances ranging from 2.71–3.30 Å. In the eighth Ba2+ site, Ba2+ is bonded in a 11-coordinate geometry to eleven O2- atoms. There are a spread of Ba–O bond distances ranging from 2.74–3.04 Å. In the ninth Ba2+ site, Ba2+ is bonded in a 12-coordinate geometry to twelve O2- atoms. There are a spread of Ba–O bond distances ranging from 2.85–3.33 Å. In the tenth Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form distorted BaO12 cuboctahedra that share corners with six equivalent BaO12 cuboctahedra, corners with three equivalent VO6 octahedra, faces with three equivalent BaO12 cuboctahedra, faces with six VO6 octahedra, and a faceface with one VO5 square pyramid. The corner-sharing octahedra tilt angles range from 7–12°. There are a spread of Ba–O bond distances ranging from 2.85–3.29 Å. There are ten inequivalent V+3.60+ sites. In the first V+3.60+ site, V+3.60+ is bonded to five O2- atoms to form VO5 trigonal bipyramids that share corners with three equivalent VO6 octahedra, corners with two equivalent VO5 trigonal bipyramids, and a faceface with one BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 4–10°. There are a spread of V–O bond distances ranging from 1.93–2.26 Å. In the second V+3.60+ site, V+3.60+ is bonded to five O2- atoms to form VO5 square pyramids that share corners with three equivalent VO6 octahedra, corners with two equivalent VO5 square pyramids, and a faceface with one BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 3–8°. There are a spread of V–O bond distances ranging from 1.98–2.09 Å. In the third V+3.60+ site, V+3.60+ is bonded to six O2- atoms to form VO6 octahedra that share corners with three equivalent BaO12 cuboctahedra, corners with three equivalent VO5 trigonal bipyramids, faces with three equivalent BaO12 cuboctahedra, and a faceface with one VO6 octahedra. There are a spread of V–O bond distances ranging from 1.86–2.06 Å. In the fourth V+3.60+ site, V+3.60+ is bonded to six O2- atoms to form VO6 octahedra that share corners with three equivalent BaO12 cuboctahedra, corners with three equivalent VO5 trigonal bipyramids, and a faceface with one VO6 octahedra. There are a spread of V–O bond distances ranging from 1.99–2.20 Å. In the fifth V+3.60+ site, V+3.60+ is bonded to six O2- atoms to form VO6 octahedra that share faces with six BaO12 cuboctahedra and faces with two VO6 octahedra. There are a spread of V–O bond distances ranging from 1.89–2.05 Å. In the sixth V+3.60+ site, V+3.60+ is bonded to six O2- atoms to form VO6 octahedra that share corners with three equivalent BaO12 cuboctahedra, corners with three equivalent VO5 square pyramids, faces with three equivalent BaO12 cuboctahedra, and a faceface with one VO6 octahedra. There are a spread of V–O bond distances ranging from 2.00–2.10 Å. In the seventh V+3.60+ site, V+3.60+ is bonded to six O2- atoms to form VO6 octahedra that share corners with three equivalent VO5 square pyramids, faces with three equivalent BaO12 cuboctahedra, and a faceface with one VO6 octahedra. There are a spread of V–O bond distances ranging from 1.85–2.06 Å. In the eighth V+3.60+ site, V+3.60+ is bonded to six O2- atoms to form VO6 octahedra that share faces with three equivalent BaO12 cuboctahedra and faces with two VO6 octahedra. There are a spread of V–O bond distances ranging from 1.88–2.01 Å. In the ninth V+3.60+ site, V+3.60+ is bonded to five O2- atoms to form distorted VO5 square pyramids that share corners with three equivalent VO6 octahedra, corners with two equivalent VO5 square pyramids, and a faceface with one BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 9–19°. There are a spread of V–O bond distances ranging from 1.76–2.00 Å. In the tenth V+3.60+ site, V+3.60+ is bonded to five O2- atoms to form VO5 trigonal bipyramids that share corners with three equivalent VO6 octahedra and corners with two equivalent VO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 5–20°. There are a spread of V–O bond distances ranging from 1.85–2.20 Å. There are twenty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a 2-coordinate geometry to four Ba2+ and two V+3.60+ atoms. In the second O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two V+3.60+ atoms. In the third O2- site, O2- is bonded in a 2-coordinate geometry to four Ba2+ and two V+3.60+ atoms. In the fourth O2- site, O2- is bonded in a 6-coordinate geometry to four Ba2+ and two V+3.60+ atoms. In the fifth O2- site, O2- is bonded in a 6-coordinate geometry to four Ba2+ and two V+3.60+ atoms. In the sixth O2- site, O2- is bonded in a 2-coordinate geometry to four Ba2+ and two V+3.60+ atoms. In the seventh O2- site, O2- is bonded in a 6-coordinate geometry to four Ba2+ and two V+3.60+ atoms. In the eighth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two V+3.60+ atoms. In the ninth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two V+3.60+ atoms. In the tenth O2- site, O2- is bonded in a 6-coordinate geometry to four Ba2+ and two V+3.60+ atoms. In the eleventh O2- site, O2- is bonded in a 6-coordinate geometry to four Ba2+ and two V+3.60+ atoms. In the twelfth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two V+3.60+ atoms. In the thirteenth O2- site, O2- is bonded in a 2-coordinate geometry to four Ba2+ and two V+3.60+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two V+3.60+ atoms. In the fifteenth O2- site, O2- is bonded in a 2-coordinate geometry to four Ba2+ and two V+3.60+ atoms. In the sixteenth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two V+3.60+ atoms. In the seventeenth O2- site, O2- is bonded in a 6-coordinate geometry to four Ba2+ and two V+3.60+ atoms. In the eighteenth O2- site, O2- is bonded in a 6-coordinate geometry to four Ba2+ and two V+3.60+ atoms. In the nineteenth O2- site, O2- is bonded in a 2-coordinate geometry to four Ba2+ and two V+3.60+ atoms. In the twentieth O2- site, O2- is bonded in a 2-coordinate geometry to four Ba2+ and two V+3.60+ atoms. In the twenty-first O2- site, O2- is bonded in a 2-coordinate geometry to four Ba2+ and two V+3.60+ atoms. In the twenty-second O2- site, O2- is bonded in a 2-coordinate geometry to four Ba2+ and two V+3.60+ atoms. In the twenty-third O2- site, O2- is bonded in a 1-coordinate geometry to three Ba2+ and two V+3.60+ atoms. In the twenty-fourth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two V+3.60+ atoms. In the twenty-fifth O2- site, O2- is bonded in a 6-coordinate geometry to four Ba2+ and two V+3.60+ atoms. In the twenty-sixth O2- site, O2- is bonded in a 6-coordinate geometry to four Ba2+ and two V+3.60+ atoms. In the twenty-seventh O2- site, O2- is bonded in a 2-coordinate geometry to four Ba2+ and two V+3.60+ atoms. In the twenty-eighth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two V+3.60+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on MgWO2 by Materials Project

MgWO2 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are four 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, corners with two equivalent MgO4 tetrahedra, a cornercorner with one MgO5 trigonal bipyramid, corners with two equivalent WO4 trigonal pyramids, and edges with two equivalent MgO6 octahedra. The corner-sharing octahedra tilt angles range from 48–57°. There are a spread of Mg–O bond distances ranging from 2.03–2.24 Å. In the second Mg2+ site, Mg2+ is bonded to five O2- atoms to form distorted MgO5 trigonal bipyramids that share corners with three MgO6 octahedra, corners with two equivalent MgO4 tetrahedra, corners with two equivalent WO4 trigonal pyramids, edges with two equivalent MgO5 trigonal bipyramids, and an edgeedge with one WO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 63–67°. There are a spread of Mg–O bond distances ranging from 2.07–2.16 Å. In the third Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with four MgO6 octahedra, corners with two equivalent MgO4 tetrahedra, and corners with two equivalent MgO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 39–62°. There are a spread of Mg–O bond distances ranging from 1.95–2.02 Å. In the fourth Mg2+ site, Mg2+ is bonded to six O2- atoms to form distorted MgO6 octahedra that share corners with two equivalent MgO6 octahedra, corners with two equivalent MgO4 tetrahedra, corners with two equivalent MgO5 trigonal bipyramids, edges with two equivalent MgO6 octahedra, and edges with two equivalent WO4 trigonal pyramids. The corner-sharing octahedra tilt angles range from 48–57°. There are a spread of Mg–O bond distances ranging from 2.02–2.43 Å. There are four inequivalent W2+ sites. In the first W2+ site, W2+ is bonded to four O2- atoms to form distorted WO4 trigonal pyramids that share corners with two equivalent MgO6 octahedra, corners with two equivalent MgO5 trigonal bipyramids, corners with two equivalent WO4 trigonal pyramids, edges with two equivalent MgO6 octahedra, and an edgeedge with one MgO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 34–58°. There are a spread of W–O bond distances ranging from 2.11–2.29 Å. In the second W2+ site, W2+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of W–O bond distances ranging from 2.06–2.30 Å. In the third W2+ site, W2+ is bonded in a distorted T-shaped geometry to three O2- atoms. There are a spread of W–O bond distances ranging from 2.07–2.19 Å. In the fourth W2+ site, W2+ is bonded in a distorted T-shaped geometry to three O2- atoms. There are a spread of W–O bond distances ranging from 2.11–2.22 Å. There are eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a 5-coordinate geometry to two Mg2+ and three W2+ atoms. In the second O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Mg2+ and two W2+ atoms. In the third O2- site, O2- is bonded to three Mg2+ and one W2+ atom to form distorted OMg3W tetrahedra that share corners with two equivalent OMg3W tetrahedra, a cornercorner with one OMg3W2 trigonal bipyramid, and corners with four OMg3W trigonal pyramids. In the fourth O2- site, O2- is bonded in a distorted see-saw-like geometry to two equivalent Mg2+ and two W2+ atoms. In the fifth O2- site, O2- is bonded to three Mg2+ and two equivalent W2+ atoms to form distorted OMg3W2 trigonal bipyramids that share a cornercorner with one OMg3W tetrahedra, corners with two equivalent OMg3W trigonal pyramids, edges with two equivalent OMg3W2 trigonal bipyramids, and an edgeedge with one OMg3W trigonal pyramid. In the sixth O2- site, O2- is bonded in a 5-coordinate geometry to three Mg2+ and two equivalent W2+ atoms. In the seventh O2- site, O2- is bonded to three Mg2+ and one W2+ atom to form distorted corner-sharing OMg3W trigonal pyramids. In the eighth O2- site, O2- is bonded to three Mg2+ and one W2+ atom to form distorted OMg3W trigonal pyramids that share corners with two equivalent OMg3W tetrahedra, corners with two equivalent OMg3W2 trigonal bipyramids, corners with three OMg3W trigonal pyramids, and an edgeedge with one OMg3W2 trigonal bipyramid.

36 MATERIALS SCIENCE↗

Materials Data on K5Na3Ta8O24 by Materials Project

K5Na3Ta8O24 is (Cubic) Perovskite-derived structured and crystallizes in the tetragonal P4/mmm space group. The structure is three-dimensional. there are four inequivalent K1+ sites. In the first K1+ site, K1+ is bonded to twelve O2- atoms to form KO12 cuboctahedra that share corners with four equivalent KO12 cuboctahedra, corners with eight equivalent NaO12 cuboctahedra, faces with two equivalent NaO12 cuboctahedra, faces with four equivalent KO12 cuboctahedra, and faces with eight equivalent TaO6 octahedra. There are four shorter (2.84 Å) and eight longer (2.85 Å) K–O bond lengths. In the second K1+ site, K1+ is bonded to twelve O2- atoms to form KO12 cuboctahedra that share corners with four equivalent NaO12 cuboctahedra, corners with eight KO12 cuboctahedra, faces with two equivalent NaO12 cuboctahedra, faces with four KO12 cuboctahedra, and faces with eight equivalent TaO6 octahedra. There are eight shorter (2.84 Å) and four longer (2.85 Å) K–O bond lengths. In the third K1+ site, K1+ is bonded to twelve O2- atoms to form KO12 cuboctahedra that share corners with four equivalent KO12 cuboctahedra, corners with eight equivalent NaO12 cuboctahedra, faces with six KO12 cuboctahedra, and faces with eight equivalent TaO6 octahedra. There are four shorter (2.84 Å) and eight longer (2.85 Å) K–O bond lengths. In the fourth K1+ site, K1+ is bonded to twelve O2- atoms to form KO12 cuboctahedra that share corners with four equivalent NaO12 cuboctahedra, corners with eight equivalent KO12 cuboctahedra, faces with two equivalent KO12 cuboctahedra, faces with four equivalent NaO12 cuboctahedra, and faces with eight equivalent TaO6 octahedra. There are eight shorter (2.84 Å) and four longer (2.85 Å) K–O bond lengths. There are two inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded to twelve O2- atoms to form NaO12 cuboctahedra that share corners with twelve KO12 cuboctahedra, faces with two equivalent KO12 cuboctahedra, faces with four equivalent NaO12 cuboctahedra, and faces with eight equivalent TaO6 octahedra. All Na–O bond lengths are 2.83 Å. In the second Na1+ site, Na1+ is bonded to twelve O2- atoms to form NaO12 cuboctahedra that share corners with four equivalent NaO12 cuboctahedra, corners with eight KO12 cuboctahedra, faces with two equivalent NaO12 cuboctahedra, faces with four KO12 cuboctahedra, and faces with eight equivalent TaO6 octahedra. There are eight shorter (2.83 Å) and four longer (2.84 Å) Na–O bond lengths. Ta5+ is bonded to six O2- atoms to form TaO6 octahedra that share corners with six equivalent TaO6 octahedra, faces with three NaO12 cuboctahedra, and faces with five KO12 cuboctahedra. The corner-sharing octahedral tilt angles are 0°. There are a spread of Ta–O bond distances ranging from 2.00–2.02 Å. There are four inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted linear geometry to four K1+ and two equivalent Ta5+ atoms. In the second O2- site, O2- is bonded in a distorted linear geometry to one K1+, three Na1+, and two equivalent Ta5+ atoms. In the third O2- site, O2- is bonded in a distorted linear geometry to two K1+, two Na1+, and two equivalent Ta5+ atoms. In the fourth O2- site, O2- is bonded in a distorted linear geometry to three K1+, one Na1+, and two equivalent Ta5+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Ba6Sr2CoCu7O24 by Materials Project

Ba6Sr2CoCu7O24 is (Cubic) Perovskite-derived structured and crystallizes in the orthorhombic Amm2 space group. The structure is three-dimensional. there are two inequivalent Ba sites. In the first Ba site, Ba is bonded to twelve O atoms to form BaO12 cuboctahedra that share corners with four equivalent SrO12 cuboctahedra, corners with eight BaO12 cuboctahedra, faces with two equivalent SrO12 cuboctahedra, faces with four BaO12 cuboctahedra, a faceface with one CoO6 octahedra, and faces with seven CuO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.80–2.91 Å. In the second Ba site, Ba is bonded to twelve O atoms to form BaO12 cuboctahedra that share corners with four equivalent SrO12 cuboctahedra, corners with eight equivalent BaO12 cuboctahedra, faces with six BaO12 cuboctahedra, a faceface with one CoO6 octahedra, and faces with seven CuO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.82–2.91 Å. Sr is bonded to twelve O atoms to form SrO12 cuboctahedra that share corners with twelve BaO12 cuboctahedra, faces with two equivalent SrO12 cuboctahedra, faces with four equivalent BaO12 cuboctahedra, a faceface with one CoO6 octahedra, and faces with seven CuO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.70–2.80 Å. Co is bonded to six O atoms to form CoO6 octahedra that share corners with six CuO6 octahedra, faces with two equivalent SrO12 cuboctahedra, and faces with six BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–3°. There are a spread of Co–O bond distances ranging from 1.92–1.96 Å. There are five inequivalent Cu sites. In the first Cu site, Cu is bonded to six O atoms to form CuO6 octahedra that share corners with six CuO6 octahedra, faces with two equivalent SrO12 cuboctahedra, and faces with six BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 1–6°. There are two shorter (2.00 Å) and four longer (2.01 Å) Cu–O bond lengths. In the second Cu site, Cu is bonded to six O atoms to form CuO6 octahedra that share corners with two equivalent CoO6 octahedra, corners with four CuO6 octahedra, faces with two equivalent SrO12 cuboctahedra, and faces with six BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–6°. There are a spread of Cu–O bond distances ranging from 1.98–2.06 Å. In the third Cu site, Cu is bonded to six O atoms to form CuO6 octahedra that share corners with six CuO6 octahedra, faces with two equivalent SrO12 cuboctahedra, and faces with six BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 1–6°. There is four shorter (1.99 Å) and two longer (2.00 Å) Cu–O bond length. In the fourth Cu site, Cu is bonded to six O atoms to form CuO6 octahedra that share corners with six CuO6 octahedra, faces with two equivalent SrO12 cuboctahedra, and faces with six BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 1–6°. There are a spread of Cu–O bond distances ranging from 2.00–2.02 Å. In the fifth Cu site, Cu is bonded to six O atoms to form CuO6 octahedra that share corners with two equivalent CoO6 octahedra, corners with four equivalent CuO6 octahedra, faces with two equivalent SrO12 cuboctahedra, and faces with six BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 1–6°. There are four shorter (1.98 Å) and two longer (2.05 Å) Cu–O bond lengths. There are eleven inequivalent O sites. In the first O site, O is bonded to three Ba, one Sr, and two Cu atoms to form distorted OBa3SrCu2 octahedra that share corners with ten OBa3SrCu2 octahedra, edges with four equivalent OBa3SrCu2 octahedra, and faces with eight OBa2Sr2Cu2 octahedra. The corner-sharing octahedra tilt angles range from 5–60°. In the second O site, O is bonded to three Ba, one Sr, and two Cu atoms to form distorted OBa3SrCu2 octahedra that share corners with eighteen OBa3SrCu2 octahedra, edges with two equivalent OBa3SrCu2 octahedra, and faces with six OBa2Sr2Cu2 octahedra. The corner-sharing octahedra tilt angles range from 1–63°. In the third O site, O is bonded in a distorted linear geometry to three Ba, one Sr, one Co, and one Cu atom. In the fourth O site, O is bonded to two equivalent Ba, two equivalent Sr, and two Cu atoms to form distorted OBa2Sr2Cu2 octahedra that share corners with twelve OBa3SrCu2 octahedra, edges with two equivalent OBa2Sr2Cu2 octahedra, and faces with seven OBa3SrCu2 octahedra. The corner-sharing octahedra tilt angles range from 3–61°. In the fifth O site, O is bonded in a distorted linear geometry to two equivalent Ba, two equivalent Sr, one Co, and one Cu atom. In the sixth O site, O is bonded to four Ba and two Cu atoms to form distorted OBa4Cu2 octahedra that share corners with sixteen OBa3SrCu2 octahedra, edges with four OBa4CoCu octahedra, and faces with seven OBa3SrCu2 octahedra. The corner-sharing octahedra tilt angles range from 1–61°. In the seventh O site, O is bonded to four Ba, one Co, and one Cu atom to form distorted OBa4CoCu octahedra that share corners with eighteen OBa3SrCu2 octahedra, edges with four OBa4Cu2 octahedra, and faces with five OBa3SrCu2 octahedra. The corner-sharing octahedra tilt angles range from 2–63°. In the eighth O site, O is bonded to two equivalent Ba, two equivalent Sr, and two Cu atoms to form distorted OBa2Sr2Cu2 octahedra that share corners with twelve OBa3SrCu2 octahedra, edges with two equivalent OBa2Sr2Cu2 octahedra, and faces with seven OBa3SrCu2 octahedra. The corner-sharing octahedra tilt angles range from 3–60°. In the ninth O site, O is bonded in a distorted linear geometry to two equivalent Ba, two equivalent Sr, and two Cu atoms. In the tenth O site, O is bonded to four Ba and two Cu atoms to form distorted OBa4Cu2 octahedra that share corners with sixteen OBa3SrCu2 octahedra, edges with four OBa4Cu2 octahedra, and faces with seven OBa3SrCu2 octahedra. The corner-sharing octahedra tilt angles range from 2–61°. In the eleventh O site, O is bonded to four Ba and two Cu atoms to form distorted OBa4Cu2 octahedra that share corners with eighteen OBa3SrCu2 octahedra, edges with four OBa4CoCu octahedra, and faces with five OBa3SrCu2 octahedra. The corner-sharing octahedra tilt angles range from 1–62°.

36 MATERIALS SCIENCE↗

Materials Data on K5Na3Nb8O24 by Materials Project

K5Na3Nb8O24 is (Cubic) Perovskite-derived structured and crystallizes in the tetragonal P4/mmm space group. The structure is three-dimensional. there are four inequivalent K1+ sites. In the first K1+ site, K1+ is bonded to twelve O2- atoms to form KO12 cuboctahedra that share corners with four equivalent KO12 cuboctahedra, corners with eight equivalent NaO12 cuboctahedra, faces with two equivalent NaO12 cuboctahedra, faces with four equivalent KO12 cuboctahedra, and faces with eight equivalent NbO6 octahedra. There are four shorter (2.85 Å) and eight longer (2.88 Å) K–O bond lengths. In the second K1+ site, K1+ is bonded to twelve O2- atoms to form KO12 cuboctahedra that share corners with four equivalent NaO12 cuboctahedra, corners with eight KO12 cuboctahedra, faces with two equivalent NaO12 cuboctahedra, faces with four KO12 cuboctahedra, and faces with eight equivalent NbO6 octahedra. There are eight shorter (2.86 Å) and four longer (2.88 Å) K–O bond lengths. In the third K1+ site, K1+ is bonded to twelve O2- atoms to form KO12 cuboctahedra that share corners with four equivalent KO12 cuboctahedra, corners with eight equivalent NaO12 cuboctahedra, faces with six KO12 cuboctahedra, and faces with eight equivalent NbO6 octahedra. There are four shorter (2.86 Å) and eight longer (2.88 Å) K–O bond lengths. In the fourth K1+ site, K1+ is bonded to twelve O2- atoms to form KO12 cuboctahedra that share corners with four equivalent NaO12 cuboctahedra, corners with eight equivalent KO12 cuboctahedra, faces with two equivalent KO12 cuboctahedra, faces with four equivalent NaO12 cuboctahedra, and faces with eight equivalent NbO6 octahedra. There are eight shorter (2.85 Å) and four longer (2.88 Å) K–O bond lengths. There are two inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded to twelve O2- atoms to form NaO12 cuboctahedra that share corners with twelve KO12 cuboctahedra, faces with two equivalent KO12 cuboctahedra, faces with four equivalent NaO12 cuboctahedra, and faces with eight equivalent NbO6 octahedra. There are eight shorter (2.83 Å) and four longer (2.84 Å) Na–O bond lengths. In the second Na1+ site, Na1+ is bonded to twelve O2- atoms to form NaO12 cuboctahedra that share corners with four equivalent NaO12 cuboctahedra, corners with eight KO12 cuboctahedra, faces with two equivalent NaO12 cuboctahedra, faces with four KO12 cuboctahedra, and faces with eight equivalent NbO6 octahedra. There are eight shorter (2.83 Å) and four longer (2.86 Å) Na–O bond lengths. Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with six equivalent NbO6 octahedra, faces with three NaO12 cuboctahedra, and faces with five KO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of Nb–O bond distances ranging from 2.01–2.03 Å. There are four inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted linear geometry to four K1+ and two equivalent Nb5+ atoms. In the second O2- site, O2- is bonded in a distorted linear geometry to one K1+, three Na1+, and two equivalent Nb5+ atoms. In the third O2- site, O2- is bonded in a distorted linear geometry to two K1+, two Na1+, and two equivalent Nb5+ atoms. In the fourth O2- site, O2- is bonded in a distorted linear geometry to three K1+, one Na1+, and two equivalent Nb5+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Ba3Sr5Ti8O24 by Materials Project

Ba3Sr5Ti8O24 is (Cubic) Perovskite-derived structured and crystallizes in the tetragonal P4/mmm space group. The structure is three-dimensional. there are two inequivalent Ba2+ sites. In the first Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with four equivalent BaO12 cuboctahedra, corners with eight SrO12 cuboctahedra, faces with two equivalent BaO12 cuboctahedra, faces with four SrO12 cuboctahedra, and faces with eight equivalent TiO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.81–2.86 Å. In the second Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with twelve SrO12 cuboctahedra, faces with two equivalent SrO12 cuboctahedra, faces with four equivalent BaO12 cuboctahedra, and faces with eight equivalent TiO6 octahedra. There are four shorter (2.85 Å) and eight longer (2.86 Å) Ba–O bond lengths. There are four inequivalent Sr2+ sites. In the first Sr2+ site, Sr2+ is bonded to twelve O2- atoms to form SrO12 cuboctahedra that share corners with four equivalent BaO12 cuboctahedra, corners with eight SrO12 cuboctahedra, faces with two equivalent BaO12 cuboctahedra, faces with four SrO12 cuboctahedra, and faces with eight equivalent TiO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.76–2.81 Å. In the second Sr2+ site, Sr2+ is bonded to twelve O2- atoms to form SrO12 cuboctahedra that share corners with four equivalent SrO12 cuboctahedra, corners with eight equivalent BaO12 cuboctahedra, faces with two equivalent BaO12 cuboctahedra, faces with four equivalent SrO12 cuboctahedra, and faces with eight equivalent TiO6 octahedra. There are eight shorter (2.78 Å) and four longer (2.83 Å) Sr–O bond lengths. In the third Sr2+ site, Sr2+ is bonded to twelve O2- atoms to form SrO12 cuboctahedra that share corners with four equivalent SrO12 cuboctahedra, corners with eight equivalent BaO12 cuboctahedra, faces with six SrO12 cuboctahedra, and faces with eight equivalent TiO6 octahedra. There are eight shorter (2.76 Å) and four longer (2.80 Å) Sr–O bond lengths. In the fourth Sr2+ site, Sr2+ is bonded to twelve O2- atoms to form SrO12 cuboctahedra that share corners with four equivalent BaO12 cuboctahedra, corners with eight equivalent SrO12 cuboctahedra, faces with two equivalent SrO12 cuboctahedra, faces with four equivalent BaO12 cuboctahedra, and faces with eight equivalent TiO6 octahedra. There are four shorter (2.77 Å) and eight longer (2.83 Å) Sr–O bond lengths. Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six equivalent TiO6 octahedra, faces with three BaO12 cuboctahedra, and faces with five SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Ti–O bond distances ranging from 1.96–2.02 Å. There are four inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted linear geometry to two Ba2+, two Sr2+, and two equivalent Ti4+ atoms. In the second O2- site, O2- is bonded in a distorted linear geometry to one Ba2+, three Sr2+, and two equivalent Ti4+ atoms. In the third O2- site, O2- is bonded in a distorted linear geometry to four Sr2+ and two equivalent Ti4+ atoms. In the fourth O2- site, O2- is bonded in a distorted linear geometry to three Ba2+, one Sr2+, and two equivalent Ti4+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Sr3CaTiMn3O12 by Materials Project

Sr3CaTiMn3O12 is (Cubic) Perovskite-derived structured and crystallizes in the orthorhombic Pma2 space group. The structure is three-dimensional. there are three inequivalent Sr2+ sites. In the first Sr2+ site, Sr2+ is bonded to twelve O2- atoms to form SrO12 cuboctahedra that share corners with twelve SrO12 cuboctahedra, faces with two equivalent CaO12 cuboctahedra, faces with four equivalent SrO12 cuboctahedra, faces with two equivalent TiO6 octahedra, and faces with six MnO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.71–2.78 Å. In the second Sr2+ site, Sr2+ is bonded to twelve O2- atoms to form SrO12 cuboctahedra that share corners with four equivalent SrO12 cuboctahedra, corners with eight equivalent CaO12 cuboctahedra, faces with six SrO12 cuboctahedra, faces with two equivalent TiO6 octahedra, and faces with six MnO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.73–2.79 Å. In the third Sr2+ site, Sr2+ is bonded to twelve O2- atoms to form SrO12 cuboctahedra that share corners with twelve SrO12 cuboctahedra, faces with two equivalent SrO12 cuboctahedra, faces with four equivalent CaO12 cuboctahedra, faces with two equivalent TiO6 octahedra, and faces with six MnO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.70–2.77 Å. Ca2+ is bonded to twelve O2- atoms to form CaO12 cuboctahedra that share corners with four equivalent CaO12 cuboctahedra, corners with eight equivalent SrO12 cuboctahedra, faces with six SrO12 cuboctahedra, faces with two equivalent TiO6 octahedra, and faces with six MnO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.66–2.77 Å. Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two equivalent TiO6 octahedra, corners with four MnO6 octahedra, faces with two equivalent CaO12 cuboctahedra, and faces with six SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of Ti–O bond distances ranging from 1.94–1.98 Å. There are three inequivalent Mn4+ sites. In the first Mn4+ site, Mn4+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six MnO6 octahedra, faces with two equivalent CaO12 cuboctahedra, and faces with six SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Mn–O bond distances ranging from 1.93–1.95 Å. In the second Mn4+ site, Mn4+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent TiO6 octahedra, corners with four MnO6 octahedra, faces with two equivalent CaO12 cuboctahedra, and faces with six SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Mn–O bond distances ranging from 1.90–1.95 Å. In the third Mn4+ site, Mn4+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent TiO6 octahedra, corners with four MnO6 octahedra, faces with two equivalent CaO12 cuboctahedra, and faces with six SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Mn–O bond distances ranging from 1.91–1.95 Å. There are ten inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted linear geometry to three Sr2+, one Ca2+, and two Mn4+ atoms. In the second O2- site, O2- is bonded in a distorted linear geometry to three Sr2+, one Ca2+, one Ti4+, and one Mn4+ atom. In the third O2- site, O2- is bonded in a distorted linear geometry to three Sr2+, one Ca2+, and two equivalent Mn4+ atoms. In the fourth O2- site, O2- is bonded in a distorted linear geometry to three Sr2+, one Ca2+, and two equivalent Mn4+ atoms. In the fifth O2- site, O2- is bonded in a distorted linear geometry to three Sr2+, one Ca2+, and two equivalent Mn4+ atoms. In the sixth O2- site, O2- is bonded in a distorted linear geometry to three Sr2+, one Ca2+, and two equivalent Ti4+ atoms. In the seventh O2- site, O2- is bonded in a distorted linear geometry to four Sr2+ and two Mn4+ atoms. In the eighth O2- site, O2- is bonded in a distorted linear geometry to four Sr2+, one Ti4+, and one Mn4+ atom. In the ninth O2- site, O2- is bonded in a distorted linear geometry to two equivalent Sr2+, two equivalent Ca2+, and two Mn4+ atoms. In the tenth O2- site, O2- is bonded in a distorted linear geometry to two equivalent Sr2+, two equivalent Ca2+, one Ti4+, and one Mn4+ atom.

36 MATERIALS SCIENCE↗