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Materials Data on NaO5 by Materials Project

NaO5 crystallizes in the monoclinic C2/m space group. The structure is two-dimensional and consists of one NaO5 sheet oriented in the (2, 0, -1) direction. Na is bonded in a 7-coordinate geometry to nine O atoms. There are a spread of Na–O bond distances ranging from 2.32–2.89 Å. There are five inequivalent O sites. In the first O site, O is bonded in a 2-coordinate geometry to two equivalent Na and two equivalent O atoms. Both O–O bond lengths are 1.63 Å. In the second O site, O is bonded in a pentagonal planar geometry to three equivalent Na and two equivalent O atoms. Both O–O bond lengths are 1.64 Å. In the third O site, O is bonded to two equivalent Na and two equivalent O atoms to form a mixture of distorted edge and corner-sharing ONa2O2 trigonal pyramids. In the fourth O site, O is bonded in a 4-coordinate geometry to two equivalent Na and one O atom. The O–O bond length is 1.24 Å. In the fifth O site, O is bonded in a single-bond geometry to one O atom.

36 MATERIALS SCIENCE↗

Materials Data on Na4V2O5 by Materials Project

Na4V2O5 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded to five O2- atoms to form distorted NaO5 trigonal bipyramids that share corners with four VO5 square pyramids, corners with five NaO5 trigonal bipyramids, edges with two equivalent NaO5 square pyramids, edges with three VO5 square pyramids, and edges with three NaO5 trigonal bipyramids. There are a spread of Na–O bond distances ranging from 2.35–2.44 Å. In the second Na1+ site, Na1+ is bonded to five O2- atoms to form distorted NaO5 trigonal bipyramids that share corners with four VO5 square pyramids, corners with five NaO5 trigonal bipyramids, edges with three VO5 square pyramids, and edges with five NaO5 trigonal bipyramids. There are a spread of Na–O bond distances ranging from 2.34–2.43 Å. In the third Na1+ site, Na1+ is bonded to five O2- atoms to form distorted NaO5 trigonal bipyramids that share a cornercorner with one NaO5 square pyramid, corners with four VO5 square pyramids, corners with four NaO5 trigonal bipyramids, edges with three VO5 square pyramids, and edges with five NaO5 trigonal bipyramids. There are a spread of Na–O bond distances ranging from 2.34–2.43 Å. In the fourth Na1+ site, Na1+ is bonded to five O2- atoms to form distorted NaO5 trigonal bipyramids that share corners with three equivalent NaO5 square pyramids, corners with four VO5 square pyramids, corners with two NaO5 trigonal bipyramids, an edgeedge with one NaO5 square pyramid, edges with three VO5 square pyramids, and edges with four NaO5 trigonal bipyramids. There are a spread of Na–O bond distances ranging from 2.34–2.43 Å. In the fifth Na1+ site, Na1+ is bonded to five O2- atoms to form distorted NaO5 trigonal bipyramids that share corners with four VO5 square pyramids, corners with five NaO5 trigonal bipyramids, edges with three VO5 square pyramids, and edges with five NaO5 trigonal bipyramids. There are a spread of Na–O bond distances ranging from 2.34–2.44 Å. In the sixth Na1+ site, Na1+ is bonded to five O2- atoms to form distorted NaO5 trigonal bipyramids that share corners with four VO5 square pyramids, corners with five NaO5 trigonal bipyramids, edges with two equivalent NaO5 square pyramids, edges with three VO5 square pyramids, and edges with three NaO5 trigonal bipyramids. There are a spread of Na–O bond distances ranging from 2.33–2.43 Å. In the seventh Na1+ site, Na1+ is bonded to five O2- atoms to form distorted NaO5 square pyramids that share corners with four VO5 square pyramids, corners with five NaO5 trigonal bipyramids, edges with three VO5 square pyramids, and edges with five NaO5 trigonal bipyramids. There are a spread of Na–O bond distances ranging from 2.34–2.44 Å. In the eighth Na1+ site, Na1+ is bonded to five O2- atoms to form distorted NaO5 trigonal bipyramids that share a cornercorner with one NaO5 square pyramid, corners with four VO5 square pyramids, corners with four NaO5 trigonal bipyramids, edges with three VO5 square pyramids, and edges with five NaO5 trigonal bipyramids. There are a spread of Na–O bond distances ranging from 2.34–2.43 Å. There are four inequivalent V3+ sites. In the first V3+ site, V3+ is bonded to five O2- atoms to form distorted VO5 square pyramids that share a cornercorner with one VO5 square pyramid, corners with eight NaO5 trigonal bipyramids, an edgeedge with one NaO5 square pyramid, edges with two equivalent VO5 square pyramids, and edges with five NaO5 trigonal bipyramids. There are a spread of V–O bond distances ranging from 1.93–2.10 Å. In the second V3+ site, V3+ is bonded to five O2- atoms to form distorted VO5 square pyramids that share a cornercorner with one VO5 square pyramid, corners with two equivalent NaO5 square pyramids, corners with six NaO5 trigonal bipyramids, edges with two equivalent VO5 square pyramids, and edges with six NaO5 trigonal bipyramids. There are a spread of V–O bond distances ranging from 1.94–2.08 Å. In the third V3+ site, V3+ is bonded to five O2- atoms to form distorted VO5 square pyramids that share a cornercorner with one NaO5 square pyramid, a cornercorner with one VO5 square pyramid, corners with seven NaO5 trigonal bipyramids, an edgeedge with one NaO5 square pyramid, edges with two equivalent VO5 square pyramids, and edges with five NaO5 trigonal bipyramids. There are a spread of V–O bond distances ranging from 1.95–2.08 Å. In the fourth V3+ site, V3+ is bonded to five O2- atoms to form distorted VO5 square pyramids that share a cornercorner with one NaO5 square pyramid, a cornercorner with one VO5 square pyramid, corners with seven NaO5 trigonal bipyramids, an edgeedge with one NaO5 square pyramid, edges with two equivalent VO5 square pyramids, and edges with five NaO5 trigonal bipyramids. There are a spread of V–O bond distances ranging from 1.92–2.09 Å. There are ten inequivalent O2- sites. In the first O2- site, O2- is bonded to four Na1+ and two V3+ atoms to form a mixture of distorted edge and corner-sharing ONa4V2 octahedra. The corner-sharing octahedra tilt angles range from 23–27°. In the second O2- site, O2- is bonded to four Na1+ and two V3+ atoms to form a mixture of distorted edge and corner-sharing ONa4V2 octahedra. The corner-sharing octahedra tilt angles range from 2–28°. In the third O2- site, O2- is bonded to four Na1+ and two V3+ atoms to form a mixture of edge and corner-sharing ONa4V2 octahedra. The corner-sharing octahedral tilt angles are 2°. In the fourth O2- site, O2- is bonded to four Na1+ and two V3+ atoms to form a mixture of distorted edge and corner-sharing ONa4V2 octahedra. The corner-sharing octahedra tilt angles range from 23–28°. In the fifth O2- site, O2- is bonded to four Na1+ and two V3+ atoms to form a mixture of distorted edge and corner-sharing ONa4V2 octahedra. The corner-sharing octahedra tilt angles range from 2–27°. In the sixth O2- site, O2- is bonded to four Na1+ and two V3+ atoms to form a mixture of edge and corner-sharing ONa4V2 octahedra. The corner-sharing octahedra tilt angles range from 2–3°. In the seventh O2- site, O2- is bonded to four Na1+ and two V3+ atoms to form a mixture of distorted edge and corner-sharing ONa4V2 octahedra. The corner-sharing octahedra tilt angles range from 23–28°. In the eighth O2- site, O2- is bonded to four Na1+ and two V3+ atoms to form a mixture of distorted edge and corner-sharing ONa4V2 octahedra. The corner-sharing octahedra tilt angles range from 2–27°. In the ninth O2- site, O2- is bonded to four Na1+ and two V3+ atoms to form a mixture of distorted edge and corner-sharing ONa4V2 octahedra. The corner-sharing octahedra tilt angles range from 23–27°. In the tenth O2- site, O2- is bonded to four Na1+ and two V3+ atoms to form a mixture of distorted edge and corner-sharing ONa4V2 octahedra. The corner-sharing octahedra tilt angles range from 2–28°.

36 MATERIALS SCIENCE↗

Materials Data on Na8Cu2O7 by Materials Project

Na8Cu2O7 crystallizes in the monoclinic P2_1/c space group. The structure is three-dimensional. there are eight inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Na–O bond distances ranging from 2.26–2.43 Å. In the second Na1+ site, Na1+ is bonded to five O2- atoms to form distorted NaO5 trigonal bipyramids that share a cornercorner with one NaO6 octahedra, corners with two equivalent NaO5 square pyramids, corners with two NaO4 tetrahedra, corners with four CuO4 tetrahedra, corners with two equivalent NaO4 trigonal pyramids, edges with two equivalent NaO6 octahedra, an edgeedge with one NaO5 square pyramid, an edgeedge with one CuO4 tetrahedra, edges with two NaO4 tetrahedra, and an edgeedge with one NaO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 53°. There are a spread of Na–O bond distances ranging from 2.32–2.56 Å. In the third Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share corners with two equivalent NaO6 octahedra, corners with seven NaO4 tetrahedra, a cornercorner with one NaO5 trigonal bipyramid, an edgeedge with one NaO5 square pyramid, an edgeedge with one NaO4 tetrahedra, edges with four CuO4 tetrahedra, edges with two equivalent NaO5 trigonal bipyramids, and an edgeedge with one NaO4 trigonal pyramid. The corner-sharing octahedral tilt angles are 28°. There are a spread of Na–O bond distances ranging from 2.46–2.68 Å. In the fourth Na1+ site, Na1+ is bonded to four O2- atoms to form distorted NaO4 tetrahedra that share corners with two equivalent NaO6 octahedra, corners with two equivalent NaO5 square pyramids, corners with three CuO4 tetrahedra, corners with four NaO4 tetrahedra, a cornercorner with one NaO5 trigonal bipyramid, corners with two equivalent NaO4 trigonal pyramids, an edgeedge with one NaO6 octahedra, and an edgeedge with one CuO4 tetrahedra. The corner-sharing octahedra tilt angles range from 13–53°. There are a spread of Na–O bond distances ranging from 2.30–2.44 Å. In the fifth Na1+ site, Na1+ is bonded to five O2- atoms to form distorted NaO5 square pyramids that share corners with two equivalent NaO5 square pyramids, a cornercorner with one CuO4 tetrahedra, corners with five NaO4 tetrahedra, corners with two equivalent NaO5 trigonal bipyramids, a cornercorner with one NaO4 trigonal pyramid, an edgeedge with one NaO6 octahedra, an edgeedge with one NaO4 tetrahedra, edges with two equivalent CuO4 tetrahedra, an edgeedge with one NaO5 trigonal bipyramid, and an edgeedge with one NaO4 trigonal pyramid. There are a spread of Na–O bond distances ranging from 2.34–2.73 Å. In the sixth Na1+ site, Na1+ is bonded to four O2- atoms to form distorted NaO4 tetrahedra that share corners with three equivalent NaO6 octahedra, corners with two equivalent NaO5 square pyramids, corners with two CuO4 tetrahedra, corners with three NaO4 tetrahedra, corners with two equivalent NaO4 trigonal pyramids, an edgeedge with one NaO4 tetrahedra, an edgeedge with one CuO4 tetrahedra, an edgeedge with one NaO5 trigonal bipyramid, and an edgeedge with one NaO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 16–41°. There are a spread of Na–O bond distances ranging from 2.23–2.42 Å. In the seventh Na1+ site, Na1+ is bonded to four O2- atoms to form NaO4 tetrahedra that share corners with two equivalent NaO6 octahedra, a cornercorner with one NaO5 square pyramid, corners with three NaO4 tetrahedra, corners with four CuO4 tetrahedra, a cornercorner with one NaO5 trigonal bipyramid, a cornercorner with one NaO4 trigonal pyramid, an edgeedge with one NaO5 square pyramid, an edgeedge with one NaO4 tetrahedra, an edgeedge with one NaO5 trigonal bipyramid, and an edgeedge with one NaO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 26–91°. There are a spread of Na–O bond distances ranging from 2.26–2.39 Å. In the eighth Na1+ site, Na1+ is bonded to four O2- atoms to form distorted NaO4 trigonal pyramids that share a cornercorner with one NaO5 square pyramid, corners with two CuO4 tetrahedra, corners with five NaO4 tetrahedra, corners with two equivalent NaO5 trigonal bipyramids, an edgeedge with one NaO6 octahedra, an edgeedge with one NaO5 square pyramid, an edgeedge with one CuO4 tetrahedra, and edges with two NaO4 tetrahedra. There are a spread of Na–O bond distances ranging from 2.32–2.44 Å. There are two inequivalent Cu3+ sites. In the first Cu3+ site, Cu3+ is bonded to four O2- atoms to form CuO4 tetrahedra that share a cornercorner with one CuO4 tetrahedra, corners with four NaO4 tetrahedra, corners with two equivalent NaO5 trigonal bipyramids, a cornercorner with one NaO4 trigonal pyramid, edges with two equivalent NaO6 octahedra, edges with two equivalent NaO5 square pyramids, and an edgeedge with one NaO5 trigonal bipyramid. There are a spread of Cu–O bond distances ranging from 1.87–2.01 Å. In the second Cu3+ site, Cu3+ is bonded to four O2- atoms to form CuO4 tetrahedra that share a cornercorner with one NaO5 square pyramid, a cornercorner with one CuO4 tetrahedra, corners with five NaO4 tetrahedra, corners with two equivalent NaO5 trigonal bipyramids, a cornercorner with one NaO4 trigonal pyramid, edges with two equivalent NaO6 octahedra, edges with two NaO4 tetrahedra, and an edgeedge with one NaO4 trigonal pyramid. There are a spread of Cu–O bond distances ranging from 1.90–1.97 Å. There are seven inequivalent O2- sites. In the first O2- site, O2- is bonded to five Na1+ and one Cu3+ atom to form a mixture of distorted corner and edge-sharing ONa5Cu octahedra. The corner-sharing octahedral tilt angles are 65°. In the second O2- site, O2- is bonded in a 6-coordinate geometry to four Na1+ and two Cu3+ atoms. In the third O2- site, O2- is bonded to five Na1+ and one Cu3+ atom to form a mixture of distorted corner and edge-sharing ONa5Cu octahedra. The corner-sharing octahedra tilt angles range from 5–65°. In the fourth O2- site, O2- is bonded in a 7-coordinate geometry to six Na1+ and one Cu3+ atom. In the fifth O2- site, O2- is bonded to five Na1+ and one Cu3+ atom to form a mixture of distorted corner and edge-sharing ONa5Cu octahedra. The corner-sharing octahedral tilt angles are 5°. In the sixth O2- site, O2- is bonded in a 6-coordinate geometry to five Na1+ and one Cu3+ atom. In the seventh O2- site, O2- is bonded in a 7-coordinate geometry to six Na1+ and one Cu3+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Na6Si2O7 by Materials Project

Na6Si2O7 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are twenty-four inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded to five O2- atoms to form distorted NaO5 trigonal bipyramids that share a cornercorner with one NaO4 tetrahedra, corners with three SiO4 tetrahedra, corners with two equivalent NaO5 trigonal bipyramids, an edgeedge with one NaO4 tetrahedra, an edgeedge with one SiO4 tetrahedra, and an edgeedge with one NaO5 trigonal bipyramid. There are a spread of Na–O bond distances ranging from 2.34–2.54 Å. In the second 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 2.30–2.71 Å. In the third Na1+ site, Na1+ is bonded in a 5-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.39–3.05 Å. In the fourth 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 2.28–2.56 Å. In the fifth 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 2.31–2.79 Å. In the sixth 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 2.36–2.54 Å. In the seventh 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 2.33–2.85 Å. In the eighth Na1+ site, Na1+ is bonded to five O2- atoms to form distorted NaO5 trigonal bipyramids that share a cornercorner with one NaO4 tetrahedra, corners with three SiO4 tetrahedra, corners with two NaO5 trigonal bipyramids, and an edgeedge with one SiO4 tetrahedra. There are a spread of Na–O bond distances ranging from 2.36–2.66 Å. In the ninth Na1+ site, Na1+ is bonded to five O2- atoms to form distorted NaO5 trigonal bipyramids that share corners with two equivalent NaO4 tetrahedra, corners with three SiO4 tetrahedra, corners with three NaO5 trigonal bipyramids, and an edgeedge with one SiO4 tetrahedra. There are a spread of Na–O bond distances ranging from 2.30–2.60 Å. In the tenth Na1+ site, Na1+ is bonded to four O2- atoms to form NaO4 tetrahedra that share corners with four SiO4 tetrahedra and edges with two equivalent NaO4 tetrahedra. There are a spread of Na–O bond distances ranging from 2.30–2.42 Å. In the eleventh Na1+ site, Na1+ is bonded to four O2- atoms to form distorted NaO4 tetrahedra that share corners with two equivalent NaO4 tetrahedra, corners with four SiO4 tetrahedra, and edges with two equivalent NaO4 tetrahedra. There are a spread of Na–O bond distances ranging from 2.32–2.54 Å. In the twelfth 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 2.26–2.63 Å. In the thirteenth Na1+ site, Na1+ is bonded to four O2- atoms to form distorted NaO4 tetrahedra that share corners with four SiO4 tetrahedra, corners with two equivalent NaO5 trigonal bipyramids, and an edgeedge with one NaO5 trigonal bipyramid. There are a spread of Na–O bond distances ranging from 2.33–2.38 Å. In the fourteenth Na1+ site, Na1+ is bonded to five O2- atoms to form distorted NaO5 trigonal bipyramids that share a cornercorner with one NaO4 tetrahedra, corners with three SiO4 tetrahedra, a cornercorner with one NaO5 trigonal bipyramid, an edgeedge with one SiO4 tetrahedra, and an edgeedge with one NaO5 trigonal bipyramid. There are a spread of Na–O bond distances ranging from 2.37–2.65 Å. In the fifteenth Na1+ site, Na1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are three shorter (2.29 Å) and one longer (2.35 Å) Na–O bond lengths. In the sixteenth 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 2.28–2.53 Å. In the seventeenth Na1+ site, Na1+ is bonded to four O2- atoms to form distorted NaO4 tetrahedra that share corners with two equivalent NaO4 tetrahedra, corners with three SiO4 tetrahedra, corners with two NaO5 trigonal bipyramids, and an edgeedge with one SiO4 tetrahedra. There are a spread of Na–O bond distances ranging from 2.27–2.41 Å. In the eighteenth Na1+ site, Na1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Na–O bond distances ranging from 2.27–2.44 Å. In the nineteenth 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 2.32–2.67 Å. In the twentieth 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 2.28–2.58 Å. In the twenty-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 2.35–2.85 Å. In the twenty-second Na1+ site, Na1+ is bonded to four O2- atoms to form distorted NaO4 tetrahedra that share corners with four SiO4 tetrahedra and a cornercorner with one NaO5 trigonal bipyramid. There are a spread of Na–O bond distances ranging from 2.33–2.36 Å. In the twenty-third Na1+ site, Na1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Na–O bond distances ranging from 2.31–2.44 Å. In the twenty-fourth Na1+ site, Na1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Na–O bond distances ranging from 2.28–2.45 Å. There are eight inequivalent Si4+ sites. In the first Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one NaO4 tetrahedra, a cornercorner with one SiO4 tetrahedra, corners with three NaO5 trigonal bipyramids, and an edgeedge with one NaO5 trigonal bipyramid. There are a spread of Si–O bond distances ranging from 1.64–1.70 Å. In the second Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one SiO4 tetrahedra, corners with three NaO4 tetrahedra, and a cornercorner with one NaO5 trigonal bipyramid. There are a spread of Si–O bond distances ranging from 1.64–1.70 Å. In the third Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one SiO4 tetrahedra, corners with two equivalent NaO4 tetrahedra, a cornercorner with one NaO5 trigonal bipyramid, an edgeedge with one NaO4 tetrahedra, and an edgeedge with one NaO5 trigonal bipyramid. There are a spread of Si–O bond distances ranging from 1.64–1.70 Å. In the fourth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one SiO4 tetrahedra, corners with two equivalent NaO4 tetrahedra, corners with two NaO5 trigonal bipyramids, and an edgeedge with one NaO5 trigonal bipyramid. There is three shorter (1.64 Å) and one longer (1.71 Å) Si–O bond length. In the fifth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one NaO4 tetrahedra, a cornercorner with one SiO4 tetrahedra, corners with two NaO5 trigonal bipyramids, and an edgeedge with one NaO5 trigonal bipyramid. There is three shorter (1.64 Å) and one longer (1.71 Å) Si–O bond length. In the sixth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one SiO4 tetrahedra and corners with four NaO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.64–1.70 Å. In the seventh Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one SiO4 tetrahedra, corners with three NaO4 tetrahedra, and corners with two NaO5 trigonal bipyramids. There are a spread of Si–O bond distances ranging from 1.64–1.70 Å. In the eighth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one SiO4 tetrahedra, corners with three NaO4 tetrahedra, and a cornercorner with one NaO5 trigonal bipyramid. There are a spread of Si–O bond distances ranging from 1.64–1.70 Å. There are twenty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a 6-coordinate geometry to five Na1+ and one Si4+ atom. In the second O2- site, O2- is bonded in a 1-coordinate geometry to four Na1+ and one Si4+ atom. In the third O2- site, O2- is bonded in a 6-coordinate geometry to five Na1+ and one Si4+ atom. In the fourth O2- site, O2- is bonded to two Na1+ and two Si4+ atoms to form distorted corner-sharing ONa2Si2 trigonal pyramids. In the fifth O2- site, O2- is bonded in a 5-coordinate geometry to four Na1+ and one Si4+ atom. In the sixth O2- site, O2- is bonded in a 1-coordinate geometry to four Na1+ and one Si4+ atom. In the seventh O2- site, O2- is bonded in a 5-coordinate geometry to four Na1+ and one Si4+ atom. In the eighth O2- site, O2- is bonded in a 6-coordinate geometry to five Na1+ and one Si4+ atom. In the ninth O2- site, O2- is bonded to four Na1+ and one Si4+ atom to form distorted ONa4Si trigonal bipyramids that share corners with two equivalent ONa4Si trigonal bipyramids, a cornercorner with one ONa2Si2 trigonal pyramid, and an edgeedge with one ONa2Si2 trigonal pyramid. In the tenth O2- site, O2- is bonded to four Na1+ and one Si4+ atom to form distorted ONa4Si trigonal bipyramids that share corners with two equivalent ONa4Si trigonal bipyramids, corners with three ONa2Si2 trigonal pyramids, and an edgeedge with one ONa4Si trigonal bipyramid. In the eleventh O2- site, O2- is bonded to two Na1+ and two Si4+ atoms to form a mixture of distorted edge and corner-sharing ONa2Si2 trigonal pyramids. In the twelfth O2- site, O2- is bonded in a 1-coordinate geometry to five Na1+ and one Si4+ atom. In the thirteenth O2- site, O2- is bonded in a 1-coordinate geometry to five Na1+ and one Si4+ atom. In the fourteenth O2- site, O2- is bonded in a 1-coordinate geometry to three Na1+ and one Si4+ atom. In the fifteenth O2- site, O2- is bonded in a 1-coordinate geometry to four Na1+ and one Si4+ atom. In the sixteenth O2- site, O2- is bonded in a 1-coordinate geometry to five Na1+ and one Si4+ atom. In the seventeenth O2- site, O2- is bonded in a 1-coordinate geometry to five Na1+ and one Si4+ atom. In the eighteenth O2- site, O2- is bonded to two Na1+ and two Si4+ atoms to form distorted corner-sharing ONa2Si2 trigonal pyramids. In the nineteenth O2- site, O2- is bonded in a 5-coordinate geometry to four Na1+ and one Si4+ atom. In the twentieth O2- site, O2- is bonded in a 6-coordinate geometry to five Na1+ and one Si4+ atom. In the twenty-first O2- site, O2- is bonded to four Na1+ and one Si4+ atom to form distorted ONa4Si trigonal bipyramids that share a cornercorner with one ONa2Si2 trigonal pyramid and an edgeedge with one ONa4Si trigonal bipyramid. In the twenty-second O2- site, O2- is bonded in a 1-coordinate geometry to five Na1+ and one Si4+ atom. In the twenty-third O2- site, O2- is bonded in a 1-coordinate geometry to four Na1+ and one Si4+ atom. In the twenty-fourth O2- site, O2- is bonded in a 6-coordinate geometry to five Na1+ and one Si4+ atom. In the twenty-fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Na1+ and two Si4+ atoms. In the twenty-sixth O2- site, O2- is bonded in a 1-coordinate geometry to four Na1+ and one Si4+ atom. In the twenty-seventh O2- site, O2- is bonded in a 1-coordinate geometry to four Na1+ and one Si4+ atom. In the twenty-eighth O2- site, O2- is bonded in a 1-coordinate geometry to four Na1+ and one Si4+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Na5SbO5 by Materials Project

Na5SbO5 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are five inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded to five O2- atoms to form distorted NaO5 trigonal bipyramids that share corners with two NaO5 square pyramids, corners with three NaO5 trigonal bipyramids, edges with three equivalent SbO6 octahedra, edges with three NaO5 square pyramids, and edges with two equivalent NaO5 trigonal bipyramids. There are a spread of Na–O bond distances ranging from 2.28–2.43 Å. In the second Na1+ site, Na1+ is bonded to five O2- atoms to form distorted NaO5 square pyramids that share corners with two equivalent SbO6 octahedra, corners with three NaO5 square pyramids, corners with two NaO5 trigonal bipyramids, edges with two equivalent SbO6 octahedra, edges with two equivalent NaO5 square pyramids, and edges with three NaO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 4–7°. There are a spread of Na–O bond distances ranging from 2.30–2.54 Å. In the third Na1+ site, Na1+ is bonded to five O2- atoms to form distorted NaO5 square pyramids that share corners with two equivalent SbO6 octahedra, corners with three NaO5 square pyramids, corners with two NaO5 trigonal bipyramids, edges with two equivalent SbO6 octahedra, edges with two equivalent NaO5 square pyramids, and edges with three NaO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 4–6°. There are a spread of Na–O bond distances ranging from 2.29–2.54 Å. In the fourth Na1+ site, Na1+ is bonded to five O2- atoms to form distorted NaO5 trigonal bipyramids that share corners with two NaO5 square pyramids, corners with three NaO5 trigonal bipyramids, edges with three equivalent SbO6 octahedra, edges with three NaO5 square pyramids, and edges with two equivalent NaO5 trigonal bipyramids. There are a spread of Na–O bond distances ranging from 2.28–2.45 Å. In the fifth Na1+ site, Na1+ is bonded in a distorted square co-planar geometry to four O2- atoms. There are two shorter (2.23 Å) and two longer (2.37 Å) Na–O bond lengths. Sb5+ is bonded to six O2- atoms to form SbO6 octahedra that share corners with two equivalent SbO6 octahedra, corners with four NaO5 square pyramids, edges with four NaO5 square pyramids, and edges with six NaO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 0°. There are a spread of Sb–O bond distances ranging from 2.00–2.30 Å. There are five inequivalent O2- sites. In the first O2- site, O2- is bonded to five Na1+ and one Sb5+ atom to form a mixture of distorted edge and corner-sharing ONa5Sb octahedra. The corner-sharing octahedra tilt angles range from 1–25°. In the second O2- site, O2- is bonded to five Na1+ and one Sb5+ atom to form a mixture of distorted edge and corner-sharing ONa5Sb octahedra. The corner-sharing octahedra tilt angles range from 1–28°. In the third O2- site, O2- is bonded to five Na1+ and one Sb5+ atom to form a mixture of distorted edge and corner-sharing ONa5Sb octahedra. The corner-sharing octahedra tilt angles range from 1–27°. In the fourth O2- site, O2- is bonded to five Na1+ and one Sb5+ atom to form a mixture of distorted edge and corner-sharing ONa5Sb octahedra. The corner-sharing octahedra tilt angles range from 1–25°. In the fifth O2- site, O2- is bonded to four Na1+ and two equivalent Sb5+ atoms to form a mixture of edge and corner-sharing ONa4Sb2 octahedra. The corner-sharing octahedra tilt angles range from 0–15°.

36 MATERIALS SCIENCE↗

Materials Data on Na5BiO5 by Materials Project

Na5BiO5 crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are five inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded to five O2- atoms to form NaO5 trigonal bipyramids that share corners with two NaO5 square pyramids, corners with three NaO5 trigonal bipyramids, edges with three equivalent BiO6 octahedra, edges with three NaO5 square pyramids, and edges with two equivalent NaO5 trigonal bipyramids. There are a spread of Na–O bond distances ranging from 2.34–2.46 Å. In the second Na1+ site, Na1+ is bonded to five O2- atoms to form NaO5 square pyramids that share corners with two equivalent BiO6 octahedra, corners with three NaO5 square pyramids, corners with two NaO5 trigonal bipyramids, edges with two equivalent BiO6 octahedra, edges with two equivalent NaO5 square pyramids, and edges with three NaO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 4–6°. There are a spread of Na–O bond distances ranging from 2.35–2.52 Å. In the third Na1+ site, Na1+ is bonded to five O2- atoms to form NaO5 square pyramids that share corners with two equivalent BiO6 octahedra, corners with three NaO5 square pyramids, corners with two NaO5 trigonal bipyramids, edges with two equivalent BiO6 octahedra, edges with two equivalent NaO5 square pyramids, and edges with three NaO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 3–7°. There are a spread of Na–O bond distances ranging from 2.35–2.52 Å. In the fourth Na1+ site, Na1+ is bonded to five O2- atoms to form distorted NaO5 trigonal bipyramids that share corners with two NaO5 square pyramids, corners with three NaO5 trigonal bipyramids, edges with three equivalent BiO6 octahedra, edges with three NaO5 square pyramids, and edges with two equivalent NaO5 trigonal bipyramids. There are a spread of Na–O bond distances ranging from 2.34–2.45 Å. In the fifth Na1+ site, Na1+ is bonded in a square co-planar geometry to four O2- atoms. There are a spread of Na–O bond distances ranging from 2.26–2.41 Å. Bi5+ is bonded to six O2- atoms to form BiO6 octahedra that share corners with two equivalent BiO6 octahedra, corners with four NaO5 square pyramids, edges with four NaO5 square pyramids, and edges with six NaO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 0°. There are a spread of Bi–O bond distances ranging from 2.13–2.30 Å. There are five inequivalent O2- sites. In the first O2- site, O2- is bonded to five Na1+ and one Bi5+ atom to form a mixture of edge and corner-sharing ONa5Bi octahedra. The corner-sharing octahedra tilt angles range from 0–21°. In the second O2- site, O2- is bonded to four Na1+ and two equivalent Bi5+ atoms to form ONa4Bi2 octahedra that share corners with six ONa4Bi2 octahedra and edges with ten ONa5Bi octahedra. The corner-sharing octahedra tilt angles range from 0–15°. In the third O2- site, O2- is bonded to five Na1+ and one Bi5+ atom to form ONa5Bi octahedra that share corners with six ONa4Bi2 octahedra and edges with nine ONa5Bi octahedra. The corner-sharing octahedra tilt angles range from 0–23°. In the fourth O2- site, O2- is bonded to five Na1+ and one Bi5+ atom to form ONa5Bi octahedra that share corners with six ONa4Bi2 octahedra and edges with nine ONa5Bi octahedra. The corner-sharing octahedra tilt angles range from 0–24°. In the fifth O2- site, O2- is bonded to five Na1+ and one Bi5+ atom to form a mixture of edge and corner-sharing ONa5Bi octahedra. The corner-sharing octahedra tilt angles range from 0–21°.

36 MATERIALS SCIENCE↗

Materials Data on KNa9In2O8 by Materials Project

KNa9In2O8 crystallizes in the orthorhombic Pnma space group. The structure is three-dimensional. K1+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of K–O bond distances ranging from 2.72–2.74 Å. There are six inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded to five O2- atoms to form distorted NaO5 square pyramids that share corners with two equivalent NaO4 tetrahedra, corners with three equivalent InO4 tetrahedra, corners with two equivalent NaO5 trigonal bipyramids, corners with three equivalent NaO4 trigonal pyramids, an edgeedge with one InO4 tetrahedra, edges with two equivalent NaO4 tetrahedra, edges with two equivalent NaO5 trigonal bipyramids, and edges with two equivalent NaO4 trigonal pyramids. There are a spread of Na–O bond distances ranging from 2.37–2.61 Å. In the second Na1+ site, Na1+ is bonded to four O2- atoms to form distorted NaO4 trigonal pyramids that share corners with three equivalent NaO5 square pyramids, corners with two equivalent NaO4 tetrahedra, corners with two equivalent InO4 tetrahedra, corners with two equivalent NaO5 trigonal bipyramids, corners with four equivalent NaO4 trigonal pyramids, an edgeedge with one InO4 tetrahedra, and edges with two equivalent NaO5 trigonal bipyramids. There are a spread of Na–O bond distances ranging from 2.40–2.54 Å. In the third 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 2.37–2.68 Å. In the fourth Na1+ site, Na1+ is bonded to four O2- atoms to form distorted NaO4 trigonal pyramids that share corners with two equivalent NaO4 tetrahedra, corners with four InO4 tetrahedra, corners with two equivalent NaO5 trigonal bipyramids, corners with four NaO4 trigonal pyramids, an edgeedge with one NaO5 square pyramid, and an edgeedge with one NaO5 trigonal bipyramid. There are a spread of Na–O bond distances ranging from 2.30–2.47 Å. In the fifth Na1+ site, Na1+ is bonded to four O2- atoms to form NaO4 tetrahedra that share a cornercorner with one NaO5 square pyramid, corners with two equivalent NaO4 tetrahedra, corners with two InO4 tetrahedra, corners with two equivalent NaO5 trigonal bipyramids, corners with three NaO4 trigonal pyramids, an edgeedge with one NaO5 square pyramid, an edgeedge with one NaO4 tetrahedra, an edgeedge with one InO4 tetrahedra, and an edgeedge with one NaO5 trigonal bipyramid. There are a spread of Na–O bond distances ranging from 2.26–2.41 Å. In the sixth Na1+ site, Na1+ is bonded to five O2- atoms to form distorted NaO5 trigonal bipyramids that share a cornercorner with one NaO5 square pyramid, a cornercorner with one InO4 tetrahedra, corners with two equivalent NaO4 tetrahedra, corners with three equivalent NaO5 trigonal bipyramids, corners with three NaO4 trigonal pyramids, an edgeedge with one NaO5 square pyramid, an edgeedge with one NaO4 tetrahedra, edges with two equivalent InO4 tetrahedra, an edgeedge with one NaO5 trigonal bipyramid, and edges with two NaO4 trigonal pyramids. There are a spread of Na–O bond distances ranging from 2.44–2.56 Å. There are two inequivalent In3+ sites. In the first In3+ site, In3+ is bonded to four O2- atoms to form InO4 tetrahedra that share corners with two equivalent NaO4 tetrahedra, corners with six NaO4 trigonal pyramids, an edgeedge with one NaO5 square pyramid, and edges with four equivalent NaO5 trigonal bipyramids. There are two shorter (2.09 Å) and two longer (2.11 Å) In–O bond lengths. In the second In3+ site, In3+ is bonded to four O2- atoms to form InO4 tetrahedra that share corners with three equivalent NaO5 square pyramids, corners with two equivalent NaO4 tetrahedra, corners with two equivalent NaO5 trigonal bipyramids, corners with four equivalent NaO4 trigonal pyramids, edges with two equivalent NaO4 tetrahedra, and an edgeedge with one NaO4 trigonal pyramid. There are a spread of In–O bond distances ranging from 2.09–2.16 Å. There are six inequivalent O2- sites. In the first O2- site, O2- is bonded to six Na1+ and one In3+ atom to form distorted ONa6In pentagonal bipyramids that share corners with four ONa6In pentagonal bipyramids, corners with two equivalent OKNa3In trigonal bipyramids, edges with two equivalent ONa6In pentagonal bipyramids, and a faceface with one OKNa5In pentagonal bipyramid. In the second O2- site, O2- is bonded in a 6-coordinate geometry to five Na1+ and one In3+ atom. In the third O2- site, O2- is bonded in a 6-coordinate geometry to one K1+, four Na1+, and one In3+ atom. In the fourth O2- site, O2- is bonded to one K1+, five Na1+, and one In3+ atom to form distorted OKNa5In pentagonal bipyramids that share corners with two equivalent ONa6In pentagonal bipyramids, a cornercorner with one OKNa3In trigonal bipyramid, edges with three equivalent OKNa5In pentagonal bipyramids, an edgeedge with one OKNa3In trigonal bipyramid, and a faceface with one ONa6In pentagonal bipyramid. In the fifth O2- site, O2- is bonded in a 7-coordinate geometry to six Na1+ and one In3+ atom. In the sixth O2- site, O2- is bonded to one K1+, three Na1+, and one In3+ atom to form OKNa3In trigonal bipyramids that share corners with six ONa6In pentagonal bipyramids and edges with two equivalent OKNa5In pentagonal bipyramids.

36 MATERIALS SCIENCE↗

Materials Data on Na2Mg3(MoO4)4 by Materials Project

Na2Mg3(MoO4)4 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are six 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 2.29–2.89 Å. In the second Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share corners with two MgO6 octahedra, corners with six MoO4 tetrahedra, and corners with two NaO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 60–66°. There are a spread of Na–O bond distances ranging from 2.35–2.91 Å. In the third Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.29–3.00 Å. In the fourth Na1+ site, Na1+ is bonded to five O2- atoms to form NaO5 trigonal bipyramids that share corners with five MoO4 tetrahedra and edges with two MgO6 octahedra. There are a spread of Na–O bond distances ranging from 2.24–2.42 Å. In the fifth Na1+ site, Na1+ is bonded to five O2- atoms to form NaO5 trigonal bipyramids that share a cornercorner with one NaO6 octahedra, corners with five MoO4 tetrahedra, and edges with two MgO6 octahedra. The corner-sharing octahedral tilt angles are 59°. There are a spread of Na–O bond distances ranging from 2.23–2.38 Å. In the sixth Na1+ site, Na1+ is bonded to five O2- atoms to form NaO5 trigonal bipyramids that share a cornercorner with one NaO6 octahedra, corners with five MoO4 tetrahedra, and edges with two MgO6 octahedra. The corner-sharing octahedral tilt angles are 60°. There are a spread of Na–O bond distances ranging from 2.26–2.39 Å. There are nine inequivalent Mg2+ sites. In the first Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six MoO4 tetrahedra, an edgeedge with one MgO6 octahedra, and an edgeedge with one NaO5 trigonal bipyramid. There are a spread of Mg–O bond distances ranging from 2.01–2.22 Å. In the second Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share a cornercorner with one NaO6 octahedra, corners with six MoO4 tetrahedra, an edgeedge with one MgO6 octahedra, and an edgeedge with one NaO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 66°. There are a spread of Mg–O bond distances ranging from 2.04–2.19 Å. In the third Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six MoO4 tetrahedra, an edgeedge with one MgO6 octahedra, and an edgeedge with one NaO5 trigonal bipyramid. There are a spread of Mg–O bond distances ranging from 2.04–2.17 Å. In the fourth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share a cornercorner with one NaO6 octahedra, corners with six MoO4 tetrahedra, an edgeedge with one MgO6 octahedra, and an edgeedge with one MgO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 60°. There are a spread of Mg–O bond distances ranging from 1.99–2.24 Å. In the fifth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six MoO4 tetrahedra, an edgeedge with one MgO6 octahedra, and an edgeedge with one MgO5 trigonal bipyramid. There are a spread of Mg–O bond distances ranging from 2.07–2.21 Å. In the sixth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six MoO4 tetrahedra, an edgeedge with one MgO6 octahedra, and an edgeedge with one NaO5 trigonal bipyramid. There are a spread of Mg–O bond distances ranging from 2.07–2.21 Å. In the seventh Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six MoO4 tetrahedra, an edgeedge with one MgO6 octahedra, and an edgeedge with one NaO5 trigonal bipyramid. There are a spread of Mg–O bond distances ranging from 2.09–2.18 Å. In the eighth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six MoO4 tetrahedra, an edgeedge with one MgO6 octahedra, and an edgeedge with one NaO5 trigonal bipyramid. There are a spread of Mg–O bond distances ranging from 2.06–2.19 Å. In the ninth Mg2+ site, Mg2+ is bonded to five O2- atoms to form MgO5 trigonal bipyramids that share corners with five MoO4 tetrahedra and edges with two MgO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.05–2.10 Å. There are twelve inequivalent Mo6+ sites. In the first Mo6+ site, Mo6+ is bonded to four O2- atoms to form MoO4 tetrahedra that share corners with five MgO6 octahedra and a cornercorner with one NaO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 39–57°. There are a spread of Mo–O bond distances ranging from 1.77–1.84 Å. In the second Mo6+ site, Mo6+ is bonded to four O2- atoms to form MoO4 tetrahedra that share a cornercorner with one NaO6 octahedra, corners with five MgO6 octahedra, and a cornercorner with one MgO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 35–59°. There are a spread of Mo–O bond distances ranging from 1.74–1.84 Å. In the third Mo6+ site, Mo6+ is bonded to four O2- atoms to form MoO4 tetrahedra that share corners with five MgO6 octahedra and a cornercorner with one NaO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 38–59°. There are a spread of Mo–O bond distances ranging from 1.74–1.85 Å. In the fourth Mo6+ site, Mo6+ is bonded to four O2- atoms to form MoO4 tetrahedra that share a cornercorner with one NaO6 octahedra, corners with five MgO6 octahedra, and a cornercorner with one NaO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 36–58°. There are a spread of Mo–O bond distances ranging from 1.77–1.84 Å. In the fifth Mo6+ site, Mo6+ is bonded to four O2- atoms to form MoO4 tetrahedra that share corners with four MgO6 octahedra, a cornercorner with one NaO5 trigonal bipyramid, and a cornercorner with one MgO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 16–63°. There are a spread of Mo–O bond distances ranging from 1.77–1.84 Å. In the sixth Mo6+ site, Mo6+ is bonded to four O2- atoms to form MoO4 tetrahedra that share a cornercorner with one NaO6 octahedra, corners with four MgO6 octahedra, a cornercorner with one NaO5 trigonal bipyramid, and a cornercorner with one MgO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 17–64°. There are a spread of Mo–O bond distances ranging from 1.77–1.83 Å. In the seventh Mo6+ site, Mo6+ is bonded to four O2- atoms to form MoO4 tetrahedra that share corners with four MgO6 octahedra and corners with two NaO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 17–59°. There are a spread of Mo–O bond distances ranging from 1.78–1.81 Å. In the eighth Mo6+ site, Mo6+ is bonded to four O2- atoms to form MoO4 tetrahedra that share a cornercorner with one NaO6 octahedra, corners with four MgO6 octahedra, and corners with two NaO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 21–61°. There are a spread of Mo–O bond distances ranging from 1.78–1.81 Å. In the ninth Mo6+ site, Mo6+ is bonded to four O2- atoms to form MoO4 tetrahedra that share corners with three MgO6 octahedra and corners with two NaO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 19–43°. There are a spread of Mo–O bond distances ranging from 1.79–1.81 Å. In the tenth Mo6+ site, Mo6+ is bonded to four O2- atoms to form MoO4 tetrahedra that share a cornercorner with one NaO6 octahedra, corners with three MgO6 octahedra, a cornercorner with one NaO5 trigonal bipyramid, and a cornercorner with one MgO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 18–68°. There are a spread of Mo–O bond distances ranging from 1.77–1.87 Å. In the eleventh Mo6+ site, Mo6+ is bonded to four O2- atoms to form MoO4 tetrahedra that share corners with three MgO6 octahedra, a cornercorner with one NaO5 trigonal bipyramid, and a cornercorner with one MgO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 12–43°. There are a spread of Mo–O bond distances ranging from 1.78–1.83 Å. In the twelfth Mo6+ site, Mo6+ is bonded to four O2- atoms to form MoO4 tetrahedra that share a cornercorner with one NaO6 octahedra, corners with three MgO6 octahedra, and corners with two NaO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 17–69°. There are a spread of Mo–O bond distances ranging from 1.78–1.82 Å. There are forty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a 2-coordinate geometry to three Na1+ and one Mo6+ atom. In the second O2- site, O2- is bonded in a trigonal planar geometry to two Na1+ and one Mo6+ atom. In the third O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Mg2+, and one Mo6+ atom. In the fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Na1+ and one Mo6+ atom. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mg2+ and one Mo6+ atom. In the sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Na1+, one Mg2+, and one Mo6+ atom. In the seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to one Na1+, one Mg2+, and one Mo6+ atom. In the eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Na1+, one Mg2+, and one Mo6+ atom. In the ninth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mg2+ and one Mo6+ atom. In the tenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mg2+ and one Mo6+ atom. In the eleventh O2- site, O2- is bonded in a bent 150 degrees geometry to one Mg2+ and one Mo6+ atom. In the twelfth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mg2+ and one Mo6+ atom. In the thirteenth O2- site, O2- is bonded in a 2-coordinate geometry to one Na1+, one Mg2+, and one Mo6+ atom. In the fourteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mg2+ and one Mo6+ atom. In the fifteenth O2- site, O2- is bonded in a linear geometry to one Mg2+ and one Mo6+ atom. In the sixteenth O2- site, O2- is bonded in a linear geometry to one Mg2+ and one Mo6+ atom. In the seventeenth O2- site, O2- is bonded in a 3-coordinate geometry to two Na1+ and one Mo6+ atom. In the eighteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Na1+ and one Mo6+ atom. In the nineteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Na1+ and one Mo6+ atom. In the twentieth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Na1+ and one Mo6+ atom. In the twenty-first O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mg2+ and one Mo6+ atom. In the twenty-second O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mg2+ and one Mo6+ atom. In the twenty-third O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mg2+ and one Mo6+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mg2+ and one Mo6+ atom. In the twenty-fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mg2+ and one Mo6+ atom. In the twenty-sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mg2+ and one Mo6+ atom. In the twenty-seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mg2+ and one Mo6+ atom. In the twenty-eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mg2+ and one Mo6+ atom. In the twenty-ninth O2- site, O2- is bonded in a linear geometry to one Mg2+ and one Mo6+ atom. In the thirtieth O2- site, O2- is bonded in a linear geometry to one Mg2+ and one Mo6+ atom. In the thirty-first O2- site, O2- is bonded in a linear geometry to one Mg2+ and one Mo6+ atom. In the thirty-second O2- site, O2- is bonded in a bent 150 degrees geometry t

36 MATERIALS SCIENCE↗

Materials Data on Na4V2O7 by Materials Project

Na4V2O7 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are thirty-two inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.32–2.94 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 2.34–2.76 Å. In the third Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.35–2.72 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 2.31–2.85 Å. In the fifth Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.38–2.75 Å. In the sixth 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 2.32–2.87 Å. In the seventh Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share a cornercorner with one NaO5 square pyramid, corners with five VO4 tetrahedra, an edgeedge with one VO4 tetrahedra, and a faceface with one NaO6 pentagonal pyramid. There are a spread of Na–O bond distances ranging from 2.30–2.72 Å. In the eighth Na1+ site, Na1+ is bonded to five O2- atoms to form NaO5 square pyramids that share a cornercorner with one NaO6 octahedra and corners with five VO4 tetrahedra. The corner-sharing octahedral tilt angles are 84°. There are a spread of Na–O bond distances ranging from 2.31–2.59 Å. In the ninth Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share a cornercorner with one NaO5 square pyramid, corners with five VO4 tetrahedra, an edgeedge with one VO4 tetrahedra, and a faceface with one NaO6 pentagonal pyramid. There are a spread of Na–O bond distances ranging from 2.30–2.73 Å. In the tenth Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.34–2.72 Å. In the eleventh Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.31–2.87 Å. In the twelfth 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 2.32–2.89 Å. In the thirteenth 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 2.34–2.83 Å. In the fourteenth 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 2.34–2.77 Å. In the fifteenth Na1+ site, Na1+ is bonded to five O2- atoms to form NaO5 square pyramids that share a cornercorner with one NaO6 octahedra, corners with five VO4 tetrahedra, and a faceface with one NaO6 pentagonal pyramid. The corner-sharing octahedral tilt angles are 85°. There are a spread of Na–O bond distances ranging from 2.32–2.58 Å. In the sixteenth Na1+ site, Na1+ is bonded to five O2- atoms to form distorted NaO5 square pyramids that share a cornercorner with one NaO6 octahedra, corners with five VO4 tetrahedra, and a faceface with one NaO6 pentagonal pyramid. The corner-sharing octahedral tilt angles are 84°. There are a spread of Na–O bond distances ranging from 2.32–2.61 Å. In the seventeenth Na1+ site, Na1+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Na–O bond distances ranging from 2.36–3.01 Å. In the eighteenth 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 2.35–2.80 Å. In the nineteenth Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 pentagonal pyramids that share corners with four VO4 tetrahedra, an edgeedge with one VO4 tetrahedra, a faceface with one NaO6 octahedra, and a faceface with one NaO5 square pyramid. There are a spread of Na–O bond distances ranging from 2.38–2.75 Å. In the twentieth Na1+ site, Na1+ is bonded to six O2- atoms to form NaO6 octahedra that share corners with six VO4 tetrahedra. There are a spread of Na–O bond distances ranging from 2.37–2.49 Å. In the twenty-first Na1+ site, Na1+ is bonded to six O2- atoms to form NaO6 octahedra that share corners with six VO4 tetrahedra. There are a spread of Na–O bond distances ranging from 2.37–2.50 Å. In the twenty-second Na1+ site, Na1+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Na–O bond distances ranging from 2.38–3.05 Å. In the twenty-third Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share a cornercorner with one NaO5 square pyramid, corners with five VO4 tetrahedra, an edgeedge with one VO4 tetrahedra, and a faceface with one NaO6 pentagonal pyramid. There are a spread of Na–O bond distances ranging from 2.32–2.72 Å. In the twenty-fourth Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 pentagonal pyramids that share corners with four VO4 tetrahedra, an edgeedge with one VO4 tetrahedra, a faceface with one NaO6 octahedra, and a faceface with one NaO5 square pyramid. There are a spread of Na–O bond distances ranging from 2.37–2.73 Å. In the twenty-fifth Na1+ site, Na1+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Na–O bond distances ranging from 2.40–2.99 Å. In the twenty-sixth Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 pentagonal pyramids that share corners with four VO4 tetrahedra, an edgeedge with one VO4 tetrahedra, a faceface with one NaO6 octahedra, and a faceface with one NaO5 square pyramid. There are a spread of Na–O bond distances ranging from 2.37–2.75 Å. In the twenty-seventh 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 2.34–2.70 Å. In the twenty-eighth Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share a cornercorner with one NaO5 square pyramid, corners with five VO4 tetrahedra, and an edgeedge with one VO4 tetrahedra. There are a spread of Na–O bond distances ranging from 2.31–2.70 Å. In the twenty-ninth Na1+ site, Na1+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Na–O bond distances ranging from 2.38–3.07 Å. In the thirtieth Na1+ site, Na1+ is bonded in a 4-coordinate geometry to five O2- atoms. There are a spread of Na–O bond distances ranging from 2.34–2.86 Å. In the thirty-first Na1+ site, Na1+ is bonded to five O2- atoms to form NaO5 square pyramids that share a cornercorner with one NaO6 octahedra, corners with five VO4 tetrahedra, and a faceface with one NaO6 pentagonal pyramid. The corner-sharing octahedral tilt angles are 85°. There are a spread of Na–O bond distances ranging from 2.32–2.54 Å. In the thirty-second Na1+ site, Na1+ is bonded in a 4-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.31–2.97 Å. There are sixteen inequivalent V5+ sites. In the first V5+ site, V5+ is bonded to four O2- atoms to form VO4 tetrahedra that share a cornercorner with one NaO6 octahedra, corners with two equivalent NaO5 square pyramids, and a cornercorner with one VO4 tetrahedra. The corner-sharing octahedral tilt angles are 57°. There are a spread of V–O bond distances ranging from 1.71–1.84 Å. In the second V5+ site, V5+ is bonded to four O2- atoms to form VO4 tetrahedra that share a cornercorner with one NaO6 octahedra, a cornercorner with one NaO5 square pyramid, a cornercorner with one VO4 tetrahedra, and an edgeedge with one NaO6 octahedra. The corner-sharing octahedral tilt angles are 68°. There are a spread of V–O bond distances ranging from 1.71–1.86 Å. In the third V5+ site, V5+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with three NaO6 octahedra, a cornercorner with one NaO6 pentagonal pyramid, corners with two equivalent NaO5 square pyramids, and a cornercorner with one VO4 tetrahedra. The corner-sharing octahedra tilt angles range from 35–81°. There are a spread of V–O bond distances ranging from 1.70–1.86 Å. In the fourth V5+ site, V5+ is bonded to four O2- atoms to form VO4 tetrahedra that share a cornercorner with one NaO6 octahedra, a cornercorner with one NaO6 pentagonal pyramid, a cornercorner with one NaO5 square pyramid, a cornercorner with one VO4 tetrahedra, an edgeedge with one NaO6 octahedra, and an edgeedge with one NaO6 pentagonal pyramid. The corner-sharing octahedral tilt angles are 70°. There are a spread of V–O bond distances ranging from 1.71–1.86 Å. In the fifth V5+ site, V5+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with three NaO6 octahedra and a cornercorner with one VO4 tetrahedra. The corner-sharing octahedra tilt angles range from 25–49°. There are a spread of V–O bond distances ranging from 1.71–1.84 Å. In the sixth V5+ site, V5+ is bonded to four O2- atoms to form VO4 tetrahedra that share a cornercorner with one NaO6 octahedra, a cornercorner with one NaO6 pentagonal pyramid, a cornercorner with one NaO5 square pyramid, a cornercorner with one VO4 tetrahedra, an edgeedge with one NaO6 octahedra, and an edgeedge with one NaO6 pentagonal pyramid. The corner-sharing octahedral tilt angles are 68°. There are a spread of V–O bond distances ranging from 1.71–1.86 Å. In the seventh V5+ site, V5+ is bonded to four O2- atoms to form VO4 tetrahedra that share a cornercorner with one NaO6 octahedra, a cornercorner with one NaO6 pentagonal pyramid, corners with two equivalent NaO5 square pyramids, and a cornercorner with one VO4 tetrahedra. The corner-sharing octahedral tilt angles are 56°. There are a spread of V–O bond distances ranging from 1.71–1.84 Å. In the eighth V5+ site, V5+ is bonded to four O2- atoms to form VO4 tetrahedra that share a cornercorner with one NaO6 octahedra, a cornercorner with one NaO6 pentagonal pyramid, a cornercorner with one NaO5 square pyramid, a cornercorner with one VO4 tetrahedra, an edgeedge with one NaO6 octahedra, and an edgeedge with one NaO6 pentagonal pyramid. The corner-sharing octahedral tilt angles are 68°. There are a spread of V–O bond distances ranging from 1.71–1.86 Å. In the ninth V5+ site, V5+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with three NaO6 octahedra, a cornercorner with one NaO6 pentagonal pyramid, corners with two equivalent NaO5 square pyramids, and a cornercorner with one VO4 tetrahedra. The corner-sharing octahedra tilt angles range from 37–81°. There are a spread of V–O bond distances ranging from 1.70–1.86 Å. In the tenth V5+ site, V5+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with three NaO6 octahedra, corners with two equivalent NaO5 square pyramids, and a cornercorner with one VO4 tetrahedra. The corner-sharing octahedra tilt angles range from 36–82°. There are a spread of V–O bond distances ranging from 1.70–1.86 Å. In the eleventh V5+ site, V5+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with three NaO6 octahedra, a cornercorner with one NaO6 pentagonal pyramid, and a cornercorner with one VO4 tetrahedra. The corner-sharing octahedra tilt angles range from 27–50°. There are a spread of V–O bond distances ranging from 1.71–1.84 Å. In the twelfth V5+ site, V5+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with three NaO6 octahedra, a cornercorner with one NaO6 pentagonal pyramid, and a cornercorner with one VO4 tetrahedra. The corner-sharing octahedra tilt angles range from 24–48°. There are a spread of V–O bond distances ranging from 1.71–1.84 Å. In the thirteenth V5+ site, V5+ is bonded to four O2- atoms to form VO4 tetrahedra that share a cornercorner w

36 MATERIALS SCIENCE↗

Materials Data on Na16W3(NO3)4 by Materials Project

Na16W3(NO3)4 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are sixteen inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded to five O2- atoms to form NaO5 square pyramids that share corners with two equivalent NaO5 square pyramids, a cornercorner with one WNO3 tetrahedra, corners with two NaN2O2 tetrahedra, corners with two equivalent NaNO3 trigonal pyramids, an edgeedge with one NaO5 square pyramid, edges with two WNO3 tetrahedra, and an edgeedge with one NaNO3 trigonal pyramid. There are a spread of Na–O bond distances ranging from 2.31–2.56 Å. In the second 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 2.17–2.91 Å. In the third Na1+ site, Na1+ is bonded in a 2-coordinate geometry to four O2- atoms. There are a spread of Na–O bond distances ranging from 2.18–2.99 Å. In the fourth Na1+ site, Na1+ is bonded in a 1-coordinate geometry to five O2- atoms. There are a spread of Na–O bond distances ranging from 2.16–2.96 Å. In the fifth Na1+ site, Na1+ is bonded to two N+2.50- and two O2- atoms to form distorted NaN2O2 tetrahedra that share corners with two NaO5 square pyramids, a cornercorner with one NaNO3 tetrahedra, corners with three WNO3 tetrahedra, and corners with two NaNO3 trigonal pyramids. There are one shorter (2.29 Å) and one longer (2.42 Å) Na–N bond lengths. There are one shorter (2.35 Å) and one longer (2.42 Å) Na–O bond lengths. In the sixth Na1+ site, Na1+ is bonded in a 4-coordinate geometry to two N+2.50- and two O2- atoms. There are one shorter (2.55 Å) and one longer (2.58 Å) Na–N bond lengths. There are one shorter (2.22 Å) and one longer (2.57 Å) Na–O bond lengths. In the seventh Na1+ site, Na1+ is bonded to two N+2.50- and two O2- atoms to form distorted NaN2O2 tetrahedra that share a cornercorner with one NaO5 square pyramid, a cornercorner with one NaNO3 tetrahedra, corners with three WNO3 tetrahedra, and corners with two NaNO3 trigonal pyramids. There are one shorter (2.51 Å) and one longer (2.57 Å) Na–N bond lengths. There are one shorter (2.22 Å) and one longer (2.55 Å) Na–O bond lengths. In the eighth Na1+ site, Na1+ is bonded in a distorted rectangular see-saw-like geometry to two N+2.50- and two O2- atoms. There are one shorter (2.32 Å) and one longer (2.50 Å) Na–N bond lengths. There are one shorter (2.40 Å) and one longer (2.47 Å) Na–O bond lengths. In the ninth Na1+ site, Na1+ is bonded in a 2-coordinate geometry to five O2- atoms. There are a spread of Na–O bond distances ranging from 2.18–3.04 Å. In the tenth Na1+ site, Na1+ is bonded to five O2- atoms to form distorted NaO5 square pyramids that share a cornercorner with one NaN2O2 tetrahedra, corners with two equivalent WNO3 tetrahedra, a cornercorner with one NaNO3 trigonal pyramid, edges with two NaO5 square pyramids, an edgeedge with one NaNO3 tetrahedra, and an edgeedge with one WNO3 tetrahedra. There are a spread of Na–O bond distances ranging from 2.18–2.72 Å. In the eleventh 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 2.36–2.80 Å. In the twelfth Na1+ site, Na1+ is bonded to five O2- atoms to form distorted NaO5 square pyramids that share corners with two equivalent NaO5 square pyramids, a cornercorner with one NaN2O2 tetrahedra, a cornercorner with one WNO3 tetrahedra, a cornercorner with one NaNO3 trigonal pyramid, an edgeedge with one NaO5 square pyramid, an edgeedge with one NaNO3 tetrahedra, and an edgeedge with one WNO3 tetrahedra. There are a spread of Na–O bond distances ranging from 2.13–2.68 Å. In the thirteenth Na1+ site, Na1+ is bonded to one N+2.50- and three O2- atoms to form distorted NaNO3 trigonal pyramids that share a cornercorner with one NaO5 square pyramid, corners with two NaN2O2 tetrahedra, corners with four WNO3 tetrahedra, and an edgeedge with one NaO5 square pyramid. The Na–N bond length is 2.46 Å. There are two shorter (2.40 Å) and one longer (2.56 Å) Na–O bond lengths. In the fourteenth Na1+ site, Na1+ is bonded to one N+2.50- and three O2- atoms to form distorted NaNO3 tetrahedra that share a cornercorner with one NaO5 square pyramid, corners with two NaN2O2 tetrahedra, corners with three WNO3 tetrahedra, and edges with two NaO5 square pyramids. The Na–N bond length is 2.40 Å. There are a spread of Na–O bond distances ranging from 2.44–2.55 Å. In the fifteenth Na1+ site, Na1+ is bonded to one N+2.50- and three O2- atoms to form distorted NaNO3 trigonal pyramids that share corners with three NaO5 square pyramids, corners with two NaN2O2 tetrahedra, and corners with three WNO3 tetrahedra. The Na–N bond length is 2.38 Å. There are a spread of Na–O bond distances ranging from 2.13–2.54 Å. In the sixteenth Na1+ site, Na1+ is bonded in a distorted rectangular see-saw-like geometry to one N+2.50- and three O2- atoms. The Na–N bond length is 2.62 Å. There are a spread of Na–O bond distances ranging from 2.25–2.75 Å. There are three inequivalent W6+ sites. In the first W6+ site, W6+ is bonded to one N+2.50- and three O2- atoms to form WNO3 tetrahedra that share corners with two NaN2O2 tetrahedra, corners with three NaNO3 trigonal pyramids, and edges with two NaO5 square pyramids. The W–N bond length is 1.80 Å. There is one shorter (1.87 Å) and two longer (1.88 Å) W–O bond length. In the second W6+ site, W6+ is bonded to one N+2.50- and three O2- atoms to form WNO3 tetrahedra that share corners with three NaO5 square pyramids, corners with four NaN2O2 tetrahedra, a cornercorner with one NaNO3 trigonal pyramid, and an edgeedge with one NaO5 square pyramid. The W–N bond length is 1.79 Å. There are a spread of W–O bond distances ranging from 1.88–1.90 Å. In the third W6+ site, W6+ is bonded to one N+2.50- and three O2- atoms to form WNO3 tetrahedra that share a cornercorner with one NaO5 square pyramid, corners with three NaN2O2 tetrahedra, corners with three NaNO3 trigonal pyramids, and an edgeedge with one NaO5 square pyramid. The W–N bond length is 1.80 Å. There is one shorter (1.87 Å) and two longer (1.88 Å) W–O bond length. There are four inequivalent N+2.50- sites. In the first N+2.50- site, N+2.50- is bonded in a trigonal non-coplanar geometry to three Na1+ atoms. In the second N+2.50- site, N+2.50- is bonded to three Na1+ and one W6+ atom to form distorted NNa3W tetrahedra that share a cornercorner with one ONa5W octahedra and corners with three ONa4W square pyramids. The corner-sharing octahedral tilt angles are 62°. In the third N+2.50- site, N+2.50- is bonded in a rectangular see-saw-like geometry to three Na1+ and one W6+ atom. In the fourth N+2.50- site, N+2.50- is bonded in a distorted rectangular see-saw-like geometry to three Na1+ and one W6+ atom. There are twelve inequivalent O2- sites. In the first O2- site, O2- is bonded in a 6-coordinate geometry to five Na1+ and one W6+ atom. In the second O2- site, O2- is bonded in a 6-coordinate geometry to five Na1+ and one W6+ atom. In the third O2- site, O2- is bonded in a 6-coordinate geometry to five Na1+ and one W6+ atom. In the fourth O2- site, O2- is bonded to five Na1+ atoms to form ONa5 square pyramids that share corners with two ONa4W square pyramids, a cornercorner with one ONa5 trigonal bipyramid, an edgeedge with one ONa5W octahedra, and an edgeedge with one ONa5 trigonal bipyramid. In the fifth O2- site, O2- is bonded to five Na1+ atoms to form ONa5 square pyramids that share corners with two ONa4W square pyramids, corners with two equivalent NNa3W tetrahedra, and a cornercorner with one ONa5 trigonal bipyramid. In the sixth O2- site, O2- is bonded in a 6-coordinate geometry to five Na1+ and one W6+ atom. In the seventh O2- site, O2- is bonded to five Na1+ and one W6+ atom to form distorted ONa5W octahedra that share corners with two equivalent ONa4W square pyramids, a cornercorner with one NNa3W tetrahedra, and an edgeedge with one ONa5W octahedra. In the eighth O2- site, O2- is bonded in a 6-coordinate geometry to five Na1+ and one W6+ atom. In the ninth O2- site, O2- is bonded to five Na1+ atoms to form ONa5 trigonal bipyramids that share corners with two ONa5 square pyramids, an edgeedge with one ONa5W octahedra, and an edgeedge with one ONa5 square pyramid. In the tenth O2- site, O2- is bonded to four Na1+ and one W6+ atom to form distorted ONa4W square pyramids that share corners with two equivalent ONa5W octahedra, corners with two ONa5 square pyramids, a cornercorner with one NNa3W tetrahedra, and an edgeedge with one ONa5W octahedra. The corner-sharing octahedra tilt angles range from 17–23°. In the eleventh O2- site, O2- is bonded to five Na1+ and one W6+ atom to form distorted ONa5W octahedra that share an edgeedge with one ONa5W octahedra, edges with two ONa4W square pyramids, and an edgeedge with one ONa5 trigonal bipyramid. In the twelfth O2- site, O2- is bonded in a 6-coordinate geometry to five Na1+ and one W6+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Na9H4S4BrO20 by Materials Project

Na9H4(SO5)4Br crystallizes in the tetragonal P4/n space group. The structure is three-dimensional and consists of four hydrobromic acid molecules and one Na9H4(SO5)4 framework. In the Na9H4(SO5)4 framework, there are six inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded to five O2- atoms to form distorted NaO5 square pyramids that share corners with four SO4 tetrahedra, corners with three NaO5 trigonal bipyramids, and an edgeedge with one NaO5 trigonal bipyramid. There are a spread of Na–O bond distances ranging from 2.35–2.58 Å. In the second Na1+ site, Na1+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are four shorter (2.58 Å) and four longer (2.62 Å) Na–O bond lengths. In the third Na1+ site, Na1+ is bonded to five O2- atoms to form distorted NaO5 trigonal bipyramids that share corners with three NaO5 square pyramids, corners with four SO4 tetrahedra, and an edgeedge with one NaO5 square pyramid. There are a spread of Na–O bond distances ranging from 2.35–2.54 Å. In the fourth Na1+ site, Na1+ is bonded to five O2- atoms to form NaO5 square pyramids that share corners with two equivalent NaO5 square pyramids, corners with four SO4 tetrahedra, a cornercorner with one NaO5 trigonal bipyramid, and an edgeedge with one NaO5 trigonal bipyramid. There are a spread of Na–O bond distances ranging from 2.35–2.53 Å. In the fifth Na1+ site, Na1+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are four shorter (2.55 Å) and four longer (2.67 Å) Na–O bond lengths. In the sixth Na1+ site, Na1+ is bonded to five O2- atoms to form distorted NaO5 trigonal bipyramids that share a cornercorner with one NaO5 square pyramid, corners with four SO4 tetrahedra, corners with two equivalent NaO5 trigonal bipyramids, and an edgeedge with one NaO5 square pyramid. There are a spread of Na–O bond distances ranging from 2.36–2.57 Å. There are two inequivalent H1+ sites. In the first H1+ site, H1+ is bonded in a single-bond geometry to two O2- atoms. There is one shorter (1.01 Å) and one longer (1.73 Å) H–O bond length. In the second H1+ site, H1+ is bonded in a single-bond geometry to two O2- atoms. There is one shorter (1.01 Å) and one longer (1.74 Å) H–O bond length. There are two inequivalent S+5.50+ sites. In the first S+5.50+ site, S+5.50+ is bonded to four O2- atoms to form SO4 tetrahedra that share corners with four NaO5 square pyramids and corners with four NaO5 trigonal bipyramids. There are a spread of S–O bond distances ranging from 1.49–1.51 Å. In the second S+5.50+ site, S+5.50+ is bonded to four O2- atoms to form SO4 tetrahedra that share corners with four NaO5 square pyramids and corners with four NaO5 trigonal bipyramids. There are a spread of S–O bond distances ranging from 1.48–1.51 Å. There are ten inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to three Na1+ and one S+5.50+ atom. In the second O2- site, O2- is bonded to three Na1+ and one S+5.50+ atom to form a mixture of distorted edge and corner-sharing ONa3S trigonal pyramids. In the third O2- site, O2- is bonded in a distorted single-bond geometry to two Na1+ and one H1+ atom. In the fourth O2- site, O2- is bonded in a 1-coordinate geometry to two Na1+, one H1+, and one S+5.50+ atom. In the fifth O2- site, O2- is bonded in a 3-coordinate geometry to two Na1+ and one S+5.50+ atom. In the sixth O2- site, O2- is bonded in a 1-coordinate geometry to two Na1+, one H1+, and one S+5.50+ atom. In the seventh O2- site, O2- is bonded in a distorted single-bond geometry to two Na1+ and one H1+ atom. In the eighth O2- site, O2- is bonded to three Na1+ and one S+5.50+ atom to form distorted corner-sharing ONa3S trigonal pyramids. In the ninth O2- site, O2- is bonded in a 4-coordinate geometry to three Na1+ and one S+5.50+ atom. In the tenth O2- site, O2- is bonded in a 3-coordinate geometry to two Na1+ and one S+5.50+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Na3BiO3 by Materials Project

Na3BiO3 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are twelve inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded to four O2- atoms to form a mixture of edge and corner-sharing NaO4 tetrahedra. There are a spread of Na–O bond distances ranging from 2.34–2.43 Å. In the second Na1+ site, Na1+ is bonded in a 4-coordinate geometry to three O2- atoms. There are a spread of Na–O bond distances ranging from 2.27–2.30 Å. In the third Na1+ site, Na1+ is bonded to four O2- atoms to form distorted NaO4 tetrahedra that share a cornercorner with one NaO5 square pyramid, a cornercorner with one NaO4 trigonal pyramid, edges with two NaO4 tetrahedra, and an edgeedge with one NaO4 trigonal pyramid. There are a spread of Na–O bond distances ranging from 2.29–2.40 Å. In the fourth Na1+ site, Na1+ is bonded in a 4-coordinate geometry to five O2- atoms. There are a spread of Na–O bond distances ranging from 2.33–2.87 Å. In the fifth Na1+ site, Na1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Na–O bond distances ranging from 2.34–2.58 Å. In the sixth Na1+ site, Na1+ is bonded to four O2- atoms to form distorted NaO4 trigonal pyramids that share a cornercorner with one NaO5 square pyramid, corners with three NaO4 tetrahedra, a cornercorner with one NaO5 trigonal bipyramid, a cornercorner with one NaO4 trigonal pyramid, an edgeedge with one NaO5 square pyramid, and an edgeedge with one NaO4 tetrahedra. There are a spread of Na–O bond distances ranging from 2.32–2.43 Å. In the seventh Na1+ site, Na1+ is bonded to four O2- atoms to form NaO4 tetrahedra that share corners with two NaO4 tetrahedra, a cornercorner with one NaO5 trigonal bipyramid, a cornercorner with one NaO4 trigonal pyramid, an edgeedge with one NaO5 square pyramid, and edges with two NaO4 tetrahedra. There are a spread of Na–O bond distances ranging from 2.26–2.38 Å. In the eighth Na1+ site, Na1+ is bonded to four O2- atoms to form distorted NaO4 tetrahedra that share a cornercorner with one NaO5 square pyramid, corners with three NaO4 tetrahedra, a cornercorner with one NaO5 trigonal bipyramid, corners with three NaO4 trigonal pyramids, and an edgeedge with one NaO4 tetrahedra. There are a spread of Na–O bond distances ranging from 2.29–2.40 Å. In the ninth Na1+ site, Na1+ is bonded to five O2- atoms to form distorted NaO5 trigonal bipyramids that share corners with two NaO4 tetrahedra, corners with three NaO4 trigonal pyramids, edges with two equivalent NaO5 square pyramids, an edgeedge with one NaO4 tetrahedra, and an edgeedge with one NaO5 trigonal bipyramid. There are a spread of Na–O bond distances ranging from 2.42–2.55 Å. In the tenth Na1+ site, Na1+ is bonded to four O2- atoms to form distorted NaO4 tetrahedra that share a cornercorner with one NaO5 square pyramid, corners with two NaO4 tetrahedra, edges with three NaO4 tetrahedra, and an edgeedge with one NaO5 trigonal bipyramid. There are a spread of Na–O bond distances ranging from 2.29–2.49 Å. In the eleventh Na1+ site, Na1+ is bonded to four O2- atoms to form NaO4 trigonal pyramids that share corners with three NaO4 tetrahedra, corners with two equivalent NaO5 trigonal bipyramids, a cornercorner with one NaO4 trigonal pyramid, an edgeedge with one NaO5 square pyramid, and an edgeedge with one NaO4 tetrahedra. There are a spread of Na–O bond distances ranging from 2.25–2.39 Å. In the twelfth Na1+ site, Na1+ is bonded to five O2- atoms to form distorted NaO5 square pyramids that share corners with three NaO4 tetrahedra, a cornercorner with one NaO4 trigonal pyramid, an edgeedge with one NaO4 tetrahedra, edges with two equivalent NaO5 trigonal bipyramids, and edges with two NaO4 trigonal pyramids. There are a spread of Na–O bond distances ranging from 2.33–2.47 Å. There are four inequivalent Bi3+ sites. In the first Bi3+ site, Bi3+ is bonded in a distorted T-shaped geometry to three O2- atoms. There are two shorter (2.10 Å) and one longer (2.13 Å) Bi–O bond lengths. In the second Bi3+ site, Bi3+ is bonded in a distorted trigonal non-coplanar geometry to three O2- atoms. There are two shorter (2.11 Å) and one longer (2.13 Å) Bi–O bond lengths. In the third Bi3+ site, Bi3+ is bonded in a distorted T-shaped geometry to three O2- atoms. There are a spread of Bi–O bond distances ranging from 2.08–2.12 Å. In the fourth Bi3+ site, Bi3+ is bonded in a distorted T-shaped geometry to three O2- atoms. There are a spread of Bi–O bond distances ranging from 2.10–2.12 Å. There are twelve inequivalent O2- sites. In the first O2- site, O2- is bonded in a 5-coordinate geometry to four Na1+ and one Bi3+ atom. In the second O2- site, O2- is bonded in a 4-coordinate geometry to three Na1+ and one Bi3+ atom. In the third O2- site, O2- is bonded in a 5-coordinate geometry to four Na1+ and one Bi3+ atom. In the fourth O2- site, O2- is bonded to four Na1+ and one Bi3+ atom to form ONa4Bi trigonal bipyramids that share corners with two ONa5Bi octahedra, corners with two equivalent ONa4Bi square pyramids, corners with three ONa4Bi trigonal bipyramids, and an edgeedge with one ONa4Bi trigonal bipyramid. The corner-sharing octahedra tilt angles range from 40–44°. In the fifth O2- site, O2- is bonded in a distorted pentagonal planar geometry to four Na1+ and one Bi3+ atom. In the sixth O2- site, O2- is bonded to four Na1+ and one Bi3+ atom to form distorted ONa4Bi trigonal bipyramids that share a cornercorner with one ONa4Bi trigonal bipyramid, an edgeedge with one ONa5Bi octahedra, an edgeedge with one ONa4Bi square pyramid, and edges with two ONa4Bi trigonal bipyramids. In the seventh O2- site, O2- is bonded to four Na1+ and one Bi3+ atom to form ONa4Bi trigonal bipyramids that share corners with two equivalent ONa5Bi octahedra, a cornercorner with one ONa4Bi square pyramid, corners with two equivalent ONa4Bi trigonal bipyramids, an edgeedge with one ONa5Bi octahedra, and an edgeedge with one ONa4Bi square pyramid. The corner-sharing octahedra tilt angles range from 26–65°. In the eighth O2- site, O2- is bonded to five Na1+ and one Bi3+ atom to form distorted ONa5Bi octahedra that share a cornercorner with one ONa4Bi square pyramid, a cornercorner with one ONa4Bi trigonal bipyramid, edges with two equivalent ONa5Bi octahedra, edges with two ONa4Bi square pyramids, and an edgeedge with one ONa4Bi trigonal bipyramid. In the ninth O2- site, O2- is bonded in a 6-coordinate geometry to five Na1+ and one Bi3+ atom. In the tenth O2- site, O2- is bonded to five Na1+ and one Bi3+ atom to form ONa5Bi octahedra that share corners with three ONa4Bi trigonal bipyramids, edges with three ONa5Bi octahedra, edges with three ONa4Bi square pyramids, and an edgeedge with one ONa4Bi trigonal bipyramid. In the eleventh O2- site, O2- is bonded to four Na1+ and one Bi3+ atom to form distorted ONa4Bi square pyramids that share a cornercorner with one ONa4Bi square pyramid, corners with three ONa4Bi trigonal bipyramids, edges with two ONa5Bi octahedra, and an edgeedge with one ONa4Bi trigonal bipyramid. In the twelfth O2- site, O2- is bonded to four Na1+ and one Bi3+ atom to form ONa4Bi square pyramids that share a cornercorner with one ONa5Bi octahedra, a cornercorner with one ONa4Bi square pyramid, edges with three ONa5Bi octahedra, and an edgeedge with one ONa4Bi trigonal bipyramid. The corner-sharing octahedral tilt angles are 10°.

36 MATERIALS SCIENCE↗

Materials Data on Na9Cu2O7 by Materials Project

Na9Cu2O7 crystallizes in the orthorhombic Pca2_1 space group. The structure is three-dimensional. there are nine inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share a cornercorner with one NaO5 square pyramid, a cornercorner with one NaO4 tetrahedra, corners with three equivalent CuO4 tetrahedra, a cornercorner with one NaO5 trigonal bipyramid, an edgeedge with one NaO4 tetrahedra, a faceface with one NaO5 square pyramid, and a faceface with one NaO5 trigonal bipyramid. There are a spread of Na–O bond distances ranging from 2.37–2.61 Å. In the second 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 2.33–2.85 Å. In the third Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.33–2.99 Å. In the fourth Na1+ site, Na1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Na–O bond distances ranging from 2.29–2.70 Å. In the fifth Na1+ site, Na1+ is bonded to five O2- atoms to form distorted NaO5 trigonal bipyramids that share a cornercorner with one NaO6 octahedra, a cornercorner with one NaO5 square pyramid, a cornercorner with one CuO4 tetrahedra, corners with three equivalent NaO4 tetrahedra, corners with two equivalent NaO5 trigonal bipyramids, an edgeedge with one NaO5 square pyramid, edges with two equivalent CuO4 tetrahedra, and a faceface with one NaO6 octahedra. The corner-sharing octahedral tilt angles are 45°. There are a spread of Na–O bond distances ranging from 2.29–2.55 Å. In the sixth 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 2.31–2.71 Å. In the seventh Na1+ site, Na1+ is bonded in a 3-coordinate geometry to three O2- atoms. There are two shorter (2.31 Å) and one longer (2.38 Å) Na–O bond lengths. In the eighth Na1+ site, Na1+ is bonded to five O2- atoms to form distorted NaO5 square pyramids that share a cornercorner with one NaO6 octahedra, corners with two equivalent NaO5 square pyramids, a cornercorner with one NaO4 tetrahedra, corners with two equivalent CuO4 tetrahedra, a cornercorner with one NaO5 trigonal bipyramid, an edgeedge with one NaO5 trigonal bipyramid, and a faceface with one NaO6 octahedra. The corner-sharing octahedral tilt angles are 44°. There are a spread of Na–O bond distances ranging from 2.37–2.65 Å. In the ninth Na1+ site, Na1+ is bonded to four O2- atoms to form distorted NaO4 tetrahedra that share a cornercorner with one NaO6 octahedra, a cornercorner with one NaO5 square pyramid, a cornercorner with one CuO4 tetrahedra, corners with three equivalent NaO5 trigonal bipyramids, an edgeedge with one NaO6 octahedra, and an edgeedge with one CuO4 tetrahedra. The corner-sharing octahedral tilt angles are 37°. There are a spread of Na–O bond distances ranging from 2.32–2.37 Å. There are two inequivalent Cu+2.50+ sites. In the first Cu+2.50+ site, Cu+2.50+ is bonded to four O2- atoms to form CuO4 tetrahedra that share corners with three equivalent NaO6 octahedra, corners with two equivalent NaO5 square pyramids, a cornercorner with one NaO4 tetrahedra, a cornercorner with one NaO5 trigonal bipyramid, an edgeedge with one NaO4 tetrahedra, and edges with two equivalent NaO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 40–56°. There are a spread of Cu–O bond distances ranging from 1.92–2.02 Å. In the second Cu+2.50+ site, Cu+2.50+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of Cu–O bond distances ranging from 1.84–1.91 Å. There are seven inequivalent O2- sites. In the first O2- site, O2- is bonded in a 7-coordinate geometry to six Na1+ and one Cu+2.50+ atom. In the second O2- site, O2- is bonded in a 7-coordinate geometry to six Na1+ and one Cu+2.50+ atom. In the third O2- site, O2- is bonded in a 8-coordinate geometry to seven Na1+ and one Cu+2.50+ atom. In the fourth O2- site, O2- is bonded in a 7-coordinate geometry to six Na1+ and one Cu+2.50+ atom. In the fifth O2- site, O2- is bonded in a 7-coordinate geometry to six Na1+ and one Cu+2.50+ atom. In the sixth O2- site, O2- is bonded in a 7-coordinate geometry to six Na1+ and one Cu+2.50+ atom. In the seventh O2- site, O2- is bonded in a 7-coordinate geometry to six Na1+ and one Cu+2.50+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Na8Gd2O7 by Materials Project

Na8Gd2O7 crystallizes in the monoclinic P2_1/c space group. The structure is three-dimensional. there are eight inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded to four O2- atoms to form distorted NaO4 tetrahedra that share a cornercorner with one NaO6 octahedra, corners with four GdO4 tetrahedra, corners with three NaO5 trigonal bipyramids, corners with two equivalent NaO4 trigonal pyramids, an edgeedge with one NaO6 octahedra, an edgeedge with one NaO4 tetrahedra, and an edgeedge with one NaO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 88°. There are a spread of Na–O bond distances ranging from 2.26–2.64 Å. In the second Na1+ site, Na1+ is bonded to five O2- atoms to form distorted NaO5 trigonal bipyramids that share a cornercorner with one NaO6 octahedra, corners with two NaO4 tetrahedra, corners with four GdO4 tetrahedra, corners with two equivalent NaO5 trigonal bipyramids, corners with two equivalent NaO4 trigonal pyramids, edges with two equivalent NaO6 octahedra, an edgeedge with one NaO4 tetrahedra, an edgeedge with one GdO4 tetrahedra, and edges with two NaO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 46°. There are a spread of Na–O bond distances ranging from 2.30–2.80 Å. In the third Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share corners with two equivalent NaO6 octahedra, corners with three NaO4 tetrahedra, a cornercorner with one NaO5 trigonal bipyramid, an edgeedge with one NaO4 tetrahedra, edges with four GdO4 tetrahedra, edges with three NaO5 trigonal bipyramids, and an edgeedge with one NaO4 trigonal pyramid. The corner-sharing octahedral tilt angles are 34°. There are a spread of Na–O bond distances ranging from 2.46–2.88 Å. In the fourth Na1+ site, Na1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Na–O bond distances ranging from 2.31–2.81 Å. In the fifth Na1+ site, Na1+ is bonded to five O2- atoms to form distorted NaO5 trigonal bipyramids that share a cornercorner with one GdO4 tetrahedra, corners with three NaO4 tetrahedra, corners with four NaO5 trigonal bipyramids, a cornercorner with one NaO4 trigonal pyramid, an edgeedge with one NaO6 octahedra, edges with two NaO4 tetrahedra, edges with two equivalent GdO4 tetrahedra, an edgeedge with one NaO5 trigonal bipyramid, and an edgeedge with one NaO4 trigonal pyramid. There are a spread of Na–O bond distances ranging from 2.36–2.95 Å. In the sixth Na1+ site, Na1+ is bonded in a 3-coordinate geometry to four O2- atoms. There are a spread of Na–O bond distances ranging from 2.21–3.05 Å. In the seventh Na1+ site, Na1+ is bonded to four O2- atoms to form NaO4 tetrahedra that share corners with two equivalent NaO6 octahedra, corners with four GdO4 tetrahedra, corners with two NaO5 trigonal bipyramids, a cornercorner with one NaO4 trigonal pyramid, an edgeedge with one NaO4 tetrahedra, edges with two NaO5 trigonal bipyramids, and an edgeedge with one NaO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 21–91°. There are a spread of Na–O bond distances ranging from 2.32–2.61 Å. In the eighth Na1+ site, Na1+ is bonded to four O2- atoms to form distorted NaO4 trigonal pyramids that share corners with two GdO4 tetrahedra, corners with three NaO4 tetrahedra, corners with three NaO5 trigonal bipyramids, an edgeedge with one NaO6 octahedra, an edgeedge with one NaO4 tetrahedra, an edgeedge with one GdO4 tetrahedra, and an edgeedge with one NaO5 trigonal bipyramid. There are a spread of Na–O bond distances ranging from 2.33–2.52 Å. There are two inequivalent Gd3+ sites. In the first Gd3+ site, Gd3+ is bonded to four O2- atoms to form GdO4 tetrahedra that share a cornercorner with one GdO4 tetrahedra, corners with four NaO4 tetrahedra, corners with two equivalent NaO5 trigonal bipyramids, a cornercorner with one NaO4 trigonal pyramid, edges with two equivalent NaO6 octahedra, and edges with three NaO5 trigonal bipyramids. There are a spread of Gd–O bond distances ranging from 2.12–2.21 Å. In the second Gd3+ site, Gd3+ is bonded to four O2- atoms to form GdO4 tetrahedra that share a cornercorner with one GdO4 tetrahedra, corners with four NaO4 tetrahedra, corners with three NaO5 trigonal bipyramids, a cornercorner with one NaO4 trigonal pyramid, edges with two equivalent NaO6 octahedra, and an edgeedge with one NaO4 trigonal pyramid. There are a spread of Gd–O bond distances ranging from 2.15–2.20 Å. There are seven inequivalent O2- sites. In the first O2- site, O2- is bonded to five Na1+ and one Gd3+ atom to form a mixture of edge and corner-sharing ONa5Gd octahedra. The corner-sharing octahedral tilt angles are 63°. In the second O2- site, O2- is bonded in a 6-coordinate geometry to four Na1+ and two Gd3+ atoms. In the third O2- site, O2- is bonded to five Na1+ and one Gd3+ atom to form a mixture of distorted edge and corner-sharing ONa5Gd octahedra. The corner-sharing octahedra tilt angles range from 9–63°. In the fourth O2- site, O2- is bonded in a 7-coordinate geometry to six Na1+ and one Gd3+ atom. In the fifth O2- site, O2- is bonded to five Na1+ and one Gd3+ atom to form a mixture of distorted edge and corner-sharing ONa5Gd octahedra. The corner-sharing octahedral tilt angles are 9°. In the sixth O2- site, O2- is bonded in a 6-coordinate geometry to five Na1+ and one Gd3+ atom. In the seventh O2- site, O2- is bonded in a 7-coordinate geometry to six Na1+ and one Gd3+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Na7Cu7O13 by Materials Project

Na7Cu7O13 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are seven inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded to six O2- atoms to form NaO6 octahedra that share edges with three NaO6 octahedra, an edgeedge with one NaO5 square pyramid, and edges with two NaO5 trigonal bipyramids. There are a spread of Na–O bond distances ranging from 2.38–2.47 Å. In the second Na1+ site, Na1+ is bonded to five O2- atoms to form distorted NaO5 square pyramids that share corners with two NaO5 trigonal bipyramids and edges with four NaO6 octahedra. There are a spread of Na–O bond distances ranging from 2.31–2.40 Å. In the third Na1+ site, Na1+ is bonded to six O2- atoms to form NaO6 octahedra that share edges with three NaO6 octahedra, an edgeedge with one NaO5 square pyramid, and edges with two NaO5 trigonal bipyramids. There are a spread of Na–O bond distances ranging from 2.34–2.46 Å. In the fourth Na1+ site, Na1+ is bonded to six O2- atoms to form NaO6 octahedra that share edges with three NaO6 octahedra, an edgeedge with one NaO5 square pyramid, and edges with two NaO5 trigonal bipyramids. There are a spread of Na–O bond distances ranging from 2.38–2.46 Å. In the fifth Na1+ site, Na1+ is bonded to five O2- atoms to form NaO5 trigonal bipyramids that share a cornercorner with one NaO5 square pyramid, a cornercorner with one NaO5 trigonal bipyramid, and edges with four NaO6 octahedra. There are a spread of Na–O bond distances ranging from 2.33–2.41 Å. In the sixth Na1+ site, Na1+ is bonded to five O2- atoms to form distorted NaO5 trigonal bipyramids that share a cornercorner with one NaO5 square pyramid, a cornercorner with one NaO5 trigonal bipyramid, and edges with four NaO6 octahedra. There are a spread of Na–O bond distances ranging from 2.32–2.42 Å. In the seventh Na1+ site, Na1+ is bonded to six O2- atoms to form NaO6 octahedra that share edges with three NaO6 octahedra, an edgeedge with one NaO5 square pyramid, and edges with two NaO5 trigonal bipyramids. There are a spread of Na–O bond distances ranging from 2.37–2.44 Å. There are seven inequivalent Cu+2.71+ sites. In the first Cu+2.71+ site, Cu+2.71+ is bonded in a T-shaped geometry to three O2- atoms. There are a spread of Cu–O bond distances ranging from 1.79–1.92 Å. In the second Cu+2.71+ site, Cu+2.71+ is bonded in a T-shaped geometry to three O2- atoms. There are a spread of Cu–O bond distances ranging from 1.80–1.93 Å. In the third Cu+2.71+ site, Cu+2.71+ is bonded in a square co-planar geometry to four O2- atoms. There is one shorter (1.84 Å) and three longer (1.87 Å) Cu–O bond length. In the fourth Cu+2.71+ site, Cu+2.71+ is bonded in a square co-planar geometry to four O2- atoms. There are a spread of Cu–O bond distances ranging from 1.84–1.87 Å. In the fifth Cu+2.71+ site, Cu+2.71+ is bonded in a square co-planar geometry to four O2- atoms. There is two shorter (1.85 Å) and two longer (1.86 Å) Cu–O bond length. In the sixth Cu+2.71+ site, Cu+2.71+ is bonded in a square co-planar geometry to four O2- atoms. There are a spread of Cu–O bond distances ranging from 1.85–1.87 Å. In the seventh Cu+2.71+ site, Cu+2.71+ is bonded in a square co-planar geometry to four O2- atoms. There are a spread of Cu–O bond distances ranging from 1.83–1.87 Å. There are thirteen inequivalent O2- sites. In the first O2- site, O2- is bonded to three Na1+ and two Cu+2.71+ atoms to form a mixture of distorted edge and corner-sharing ONa3Cu2 square pyramids. In the second O2- site, O2- is bonded to three Na1+ and two Cu+2.71+ atoms to form a mixture of distorted edge and corner-sharing ONa3Cu2 square pyramids. In the third O2- site, O2- is bonded to three Na1+ and two Cu+2.71+ atoms to form a mixture of distorted edge and corner-sharing ONa3Cu2 square pyramids. In the fourth O2- site, O2- is bonded to three Na1+ and two Cu+2.71+ atoms to form a mixture of distorted edge and corner-sharing ONa3Cu2 square pyramids. In the fifth O2- site, O2- is bonded to three Na1+ and two Cu+2.71+ atoms to form a mixture of distorted edge and corner-sharing ONa3Cu2 square pyramids. In the sixth O2- site, O2- is bonded to three Na1+ and two Cu+2.71+ atoms to form a mixture of distorted edge and corner-sharing ONa3Cu2 square pyramids. In the seventh O2- site, O2- is bonded to three Na1+ and two Cu+2.71+ atoms to form a mixture of distorted edge and corner-sharing ONa3Cu2 square pyramids. In the eighth O2- site, O2- is bonded to three Na1+ and two Cu+2.71+ atoms to form a mixture of distorted edge and corner-sharing ONa3Cu2 square pyramids. In the ninth O2- site, O2- is bonded to three Na1+ and two Cu+2.71+ atoms to form a mixture of distorted edge and corner-sharing ONa3Cu2 square pyramids. In the tenth O2- site, O2- is bonded to three Na1+ and two Cu+2.71+ atoms to form a mixture of distorted edge and corner-sharing ONa3Cu2 square pyramids. In the eleventh O2- site, O2- is bonded to three Na1+ and two Cu+2.71+ atoms to form a mixture of distorted edge and corner-sharing ONa3Cu2 square pyramids. In the twelfth O2- site, O2- is bonded to three Na1+ and two Cu+2.71+ atoms to form a mixture of distorted edge and corner-sharing ONa3Cu2 square pyramids. In the thirteenth O2- site, O2- is bonded to three Na1+ and two Cu+2.71+ atoms to form a mixture of distorted edge and corner-sharing ONa3Cu2 square pyramids.

36 MATERIALS SCIENCE↗

Materials Data on Na5MnO5 by Materials Project

Na5MnO5 crystallizes in the monoclinic C2/c space group. The structure is three-dimensional. there are three inequivalent Na sites. In the first Na site, Na is bonded to four O atoms to form distorted NaO4 trigonal pyramids that share corners with two equivalent NaO5 square pyramids, corners with two equivalent MnO5 trigonal bipyramids, corners with four equivalent NaO5 trigonal bipyramids, a cornercorner with one NaO4 trigonal pyramid, an edgeedge with one NaO5 square pyramid, an edgeedge with one MnO5 trigonal bipyramid, edges with two equivalent NaO5 trigonal bipyramids, and an edgeedge with one NaO4 trigonal pyramid. There are a spread of Na–O bond distances ranging from 2.26–2.44 Å. In the second Na site, Na is bonded to five O atoms to form distorted NaO5 trigonal bipyramids that share a cornercorner with one NaO5 square pyramid, a cornercorner with one NaO5 trigonal bipyramid, corners with three equivalent MnO5 trigonal bipyramids, corners with four equivalent NaO4 trigonal pyramids, edges with two equivalent NaO5 square pyramids, an edgeedge with one MnO5 trigonal bipyramid, edges with two equivalent NaO5 trigonal bipyramids, and edges with two equivalent NaO4 trigonal pyramids. There are a spread of Na–O bond distances ranging from 2.25–2.60 Å. In the third Na site, Na is bonded to five O atoms to form distorted NaO5 square pyramids that share a cornercorner with one MnO5 trigonal bipyramid, corners with two equivalent NaO5 trigonal bipyramids, corners with four equivalent NaO4 trigonal pyramids, edges with two equivalent MnO5 trigonal bipyramids, edges with four equivalent NaO5 trigonal bipyramids, and edges with two equivalent NaO4 trigonal pyramids. There are a spread of Na–O bond distances ranging from 2.24–2.61 Å. Mn is bonded to five O atoms to form MnO5 trigonal bipyramids that share a cornercorner with one NaO5 square pyramid, corners with six equivalent NaO5 trigonal bipyramids, corners with four equivalent NaO4 trigonal pyramids, edges with two equivalent NaO5 square pyramids, edges with two equivalent NaO5 trigonal bipyramids, and edges with two equivalent NaO4 trigonal pyramids. There are a spread of Mn–O bond distances ranging from 1.78–1.98 Å. There are three inequivalent O sites. In the first O site, O is bonded in a 5-coordinate geometry to four Na and one Mn atom. In the second O site, O is bonded to five Na and one Mn atom to form a mixture of distorted edge and corner-sharing ONa5Mn octahedra. The corner-sharing octahedra tilt angles range from 6–29°. In the third O site, O is bonded in a 6-coordinate geometry to five Na and one Mn atom.

36 MATERIALS SCIENCE↗

Materials Data on Na7As11O31 by Materials Project

Na7As11O31 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twenty-one inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.35–2.76 Å. In the second Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share corners with four AsO6 octahedra, a cornercorner with one AsO4 tetrahedra, corners with four AsO5 trigonal bipyramids, and an edgeedge with one AsO4 tetrahedra. The corner-sharing octahedra tilt angles range from 47–55°. There are a spread of Na–O bond distances ranging from 2.33–2.80 Å. In the third Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share corners with six AsO6 octahedra, a cornercorner with one AsO4 tetrahedra, corners with two AsO5 trigonal bipyramids, and an edgeedge with one AsO4 tetrahedra. The corner-sharing octahedra tilt angles range from 47–61°. There are a spread of Na–O bond distances ranging from 2.29–2.65 Å. In the fourth Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share corners with six AsO6 octahedra, a cornercorner with one AsO4 tetrahedra, corners with two AsO5 trigonal bipyramids, and an edgeedge with one AsO4 tetrahedra. The corner-sharing octahedra tilt angles range from 46–61°. There are a spread of Na–O bond distances ranging from 2.27–2.65 Å. In the fifth Na1+ site, Na1+ is bonded to five O2- atoms to form NaO5 square pyramids that share corners with eight AsO6 octahedra and corners with two AsO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 44–58°. There are a spread of Na–O bond distances ranging from 2.34–2.62 Å. In the sixth 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 2.26–2.70 Å. In the seventh Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.35–2.80 Å. In the eighth Na1+ site, Na1+ is bonded to five O2- atoms to form distorted NaO5 trigonal bipyramids that share corners with eight AsO6 octahedra and corners with two AsO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 43–62°. There are a spread of Na–O bond distances ranging from 2.28–2.64 Å. In the ninth 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 2.25–2.68 Å. In the tenth Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.25–2.70 Å. In the eleventh Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.26–2.70 Å. In the twelfth Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.28–2.63 Å. In the thirteenth Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.27–2.62 Å. In the fourteenth Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.28–2.70 Å. In the fifteenth Na1+ site, Na1+ is bonded to five O2- atoms to form NaO5 square pyramids that share corners with eight AsO6 octahedra and corners with two AsO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 45–57°. There are a spread of Na–O bond distances ranging from 2.34–2.62 Å. In the sixteenth 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 2.30–2.70 Å. In the seventeenth Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.28–2.70 Å. In the eighteenth 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 2.25–2.69 Å. In the nineteenth Na1+ site, Na1+ is bonded in a 6-coordinate geometry to seven O2- atoms. There are a spread of Na–O bond distances ranging from 2.25–2.94 Å. In the twentieth 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 2.29–2.68 Å. In the twenty-first Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.28–2.69 Å. There are thirty-three inequivalent As5+ sites. In the first As5+ site, As5+ is bonded to six O2- atoms to form AsO6 octahedra that share corners with two NaO6 octahedra, corners with two AsO4 tetrahedra, an edgeedge with one AsO6 octahedra, and an edgeedge with one AsO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 46–61°. There are a spread of As–O bond distances ranging from 1.81–1.96 Å. In the second As5+ site, As5+ is bonded to six O2- atoms to form AsO6 octahedra that share corners with two NaO6 octahedra, corners with two AsO4 tetrahedra, an edgeedge with one AsO6 octahedra, and an edgeedge with one AsO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 47–61°. There are a spread of As–O bond distances ranging from 1.80–1.96 Å. In the third As5+ site, As5+ is bonded to six O2- atoms to form AsO6 octahedra that share corners with two NaO6 octahedra, corners with two AsO4 tetrahedra, an edgeedge with one AsO6 octahedra, and an edgeedge with one AsO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 47–55°. There are a spread of As–O bond distances ranging from 1.81–1.96 Å. In the fourth As5+ site, As5+ is bonded to five O2- atoms to form AsO5 trigonal bipyramids that share a cornercorner with one NaO6 octahedra, a cornercorner with one NaO5 square pyramid, a cornercorner with one AsO5 trigonal bipyramid, and edges with two AsO6 octahedra. The corner-sharing octahedral tilt angles are 54°. There are a spread of As–O bond distances ranging from 1.77–1.87 Å. In the fifth As5+ site, As5+ is bonded to six O2- atoms to form AsO6 octahedra that share a cornercorner with one NaO6 octahedra, corners with two NaO5 square pyramids, edges with two AsO6 octahedra, and an edgeedge with one AsO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 51°. There are a spread of As–O bond distances ranging from 1.83–1.93 Å. In the sixth As5+ site, As5+ is bonded to five O2- atoms to form AsO5 trigonal bipyramids that share corners with two NaO6 octahedra, a cornercorner with one NaO5 trigonal bipyramid, a cornercorner with one AsO5 trigonal bipyramid, and edges with two AsO6 octahedra. The corner-sharing octahedra tilt angles range from 55–71°. There are a spread of As–O bond distances ranging from 1.78–1.87 Å. In the seventh As5+ site, As5+ is bonded to five O2- atoms to form AsO5 trigonal bipyramids that share a cornercorner with one NaO6 octahedra, a cornercorner with one NaO5 square pyramid, a cornercorner with one AsO5 trigonal bipyramid, and edges with two AsO6 octahedra. The corner-sharing octahedral tilt angles are 55°. There are a spread of As–O bond distances ranging from 1.77–1.86 Å. In the eighth As5+ site, As5+ is bonded to six O2- atoms to form AsO6 octahedra that share a cornercorner with one NaO6 octahedra, a cornercorner with one NaO5 square pyramid, a cornercorner with one NaO5 trigonal bipyramid, and edges with three AsO6 octahedra. The corner-sharing octahedral tilt angles are 49°. There are a spread of As–O bond distances ranging from 1.85–1.92 Å. In the ninth As5+ site, As5+ is bonded to six O2- atoms to form AsO6 octahedra that share a cornercorner with one NaO5 square pyramid, a cornercorner with one NaO5 trigonal bipyramid, and edges with three AsO6 octahedra. There are a spread of As–O bond distances ranging from 1.84–1.92 Å. In the tenth As5+ site, As5+ is bonded to four O2- atoms to form AsO4 tetrahedra that share a cornercorner with one NaO6 octahedra, corners with three AsO6 octahedra, and an edgeedge with one NaO6 octahedra. The corner-sharing octahedra tilt angles range from 56–60°. There are a spread of As–O bond distances ranging from 1.67–1.77 Å. In the eleventh As5+ site, As5+ is bonded to four O2- atoms to form AsO4 tetrahedra that share a cornercorner with one NaO6 octahedra, corners with three AsO6 octahedra, and an edgeedge with one NaO6 octahedra. The corner-sharing octahedra tilt angles range from 56–59°. There are a spread of As–O bond distances ranging from 1.67–1.77 Å. In the twelfth As5+ site, As5+ is bonded to four O2- atoms to form AsO4 tetrahedra that share a cornercorner with one NaO6 octahedra, corners with three AsO6 octahedra, and an edgeedge with one NaO6 octahedra. The corner-sharing octahedra tilt angles range from 56–60°. There are a spread of As–O bond distances ranging from 1.67–1.77 Å. In the thirteenth As5+ site, As5+ is bonded to six O2- atoms to form AsO6 octahedra that share a cornercorner with one NaO6 octahedra, corners with two AsO4 tetrahedra, and edges with two AsO6 octahedra. The corner-sharing octahedral tilt angles are 58°. There are a spread of As–O bond distances ranging from 1.83–2.00 Å. In the fourteenth As5+ site, As5+ is bonded to six O2- atoms to form AsO6 octahedra that share a cornercorner with one NaO6 octahedra, corners with two AsO4 tetrahedra, an edgeedge with one AsO6 octahedra, and an edgeedge with one AsO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 48°. There are a spread of As–O bond distances ranging from 1.81–1.96 Å. In the fifteenth As5+ site, As5+ is bonded to six O2- atoms to form AsO6 octahedra that share corners with two NaO6 octahedra, corners with two AsO4 tetrahedra, an edgeedge with one AsO6 octahedra, and an edgeedge with one AsO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 47–55°. There are a spread of As–O bond distances ranging from 1.81–1.97 Å. In the sixteenth As5+ site, As5+ is bonded to five O2- atoms to form AsO5 trigonal bipyramids that share a cornercorner with one NaO6 octahedra, a cornercorner with one NaO5 square pyramid, a cornercorner with one AsO5 trigonal bipyramid, and edges with two AsO6 octahedra. The corner-sharing octahedral tilt angles are 55°. There are a spread of As–O bond distances ranging from 1.77–1.87 Å. In the seventeenth As5+ site, As5+ is bonded to six O2- atoms to form AsO6 octahedra that share a cornercorner with one NaO6 octahedra, a cornercorner with one NaO5 square pyramid, a cornercorner with one NaO5 trigonal bipyramid, edges with two AsO6 octahedra, and an edgeedge with one AsO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 51°. There are a spread of As–O bond distances ranging from 1.83–1.94 Å. In the eighteenth As5+ site, As5+ is bonded to six O2- atoms to form AsO6 octahedra that share a cornercorner with one NaO5 square pyramid, a cornercorner with one NaO5 trigonal bipyramid, edges with two AsO6 octahedra, and an edgeedge with one AsO5 trigonal bipyramid. There are a spread of As–O bond distances ranging from 1.82–1.93 Å. In the nineteenth As5+ site, As5+ is bonded to six O2- atoms to form AsO6 octahedra that share a cornercorner with one NaO6 octahedra, corners with two AsO4 tetrahedra, and edges with two AsO6 octahedra. The corner-sharing octahedral tilt angles are 59°. There are a spread of As–O bond distances ranging from 1.83–2.00 Å. In the twentieth As5+ site, As5+ is bonded to six O2- atoms to form AsO6 octahedra that share a cornercorner with one NaO6 octahedra, corners with two AsO4 tetrahedra, an edgeedge with one AsO6 octahedra, and an edgeedge with one AsO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 47°. There are a spread of As–O bond distances ranging from 1.81–1.97 Å. In the twenty-first As5+ site, As5+ is bonded to si

36 MATERIALS SCIENCE↗

Materials Data on Na10Mn4O9 by Materials Project

Na10Mn4O9 crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are twelve inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Na–O bond distances ranging from 2.34–2.73 Å. In the second Na1+ site, Na1+ is bonded to four O2- atoms to form NaO4 tetrahedra that share corners with two NaO4 tetrahedra, corners with four MnO4 tetrahedra, a cornercorner with one NaO5 trigonal bipyramid, an edgeedge with one NaO5 trigonal bipyramid, and an edgeedge with one NaO4 trigonal pyramid. There are a spread of Na–O bond distances ranging from 2.33–2.38 Å. In the third Na1+ site, Na1+ is bonded in a 3-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.35–2.88 Å. In the fourth 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 2.39–2.74 Å. In the fifth Na1+ site, Na1+ is bonded to five O2- atoms to form distorted NaO5 trigonal bipyramids that share corners with two equivalent NaO4 tetrahedra, corners with two equivalent MnO4 tetrahedra, a cornercorner with one NaO4 trigonal pyramid, edges with two equivalent MnO4 tetrahedra, and edges with three NaO4 tetrahedra. There are a spread of Na–O bond distances ranging from 2.46–2.72 Å. In the sixth Na1+ site, Na1+ is bonded in a distorted trigonal non-coplanar geometry to three O2- atoms. There are a spread of Na–O bond distances ranging from 2.23–2.36 Å. In the seventh 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 2.57–3.02 Å. In the eighth Na1+ site, Na1+ is bonded to four O2- atoms to form distorted NaO4 tetrahedra that share corners with two NaO4 tetrahedra, corners with four MnO4 tetrahedra, an edgeedge with one NaO4 tetrahedra, edges with two NaO5 trigonal bipyramids, and an edgeedge with one NaO4 trigonal pyramid. There are a spread of Na–O bond distances ranging from 2.33–2.56 Å. In the ninth Na1+ site, Na1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Na–O bond distances ranging from 2.25–2.75 Å. In the tenth Na1+ site, Na1+ is bonded to four O2- atoms to form NaO4 tetrahedra that share corners with two equivalent NaO4 tetrahedra, corners with four MnO4 tetrahedra, corners with two equivalent NaO5 trigonal bipyramids, and an edgeedge with one NaO5 trigonal bipyramid. There are three shorter (2.32 Å) and one longer (2.35 Å) Na–O bond lengths. In the eleventh Na1+ site, Na1+ is bonded to four O2- atoms to form distorted NaO4 trigonal pyramids that share corners with four MnO4 tetrahedra, corners with three NaO5 trigonal bipyramids, and edges with four NaO4 tetrahedra. There are a spread of Na–O bond distances ranging from 2.29–2.52 Å. In the twelfth Na1+ site, Na1+ is bonded to five O2- atoms to form distorted NaO5 trigonal bipyramids that share a cornercorner with one NaO4 tetrahedra, corners with two MnO4 tetrahedra, a cornercorner with one NaO5 trigonal bipyramid, a cornercorner with one NaO4 trigonal pyramid, edges with two NaO4 tetrahedra, and edges with two MnO4 tetrahedra. There are a spread of Na–O bond distances ranging from 2.42–2.79 Å. There are six inequivalent Mn2+ sites. In the first Mn2+ site, Mn2+ is bonded in a trigonal planar geometry to three O2- atoms. There are one shorter (2.01 Å) and two longer (2.02 Å) Mn–O bond lengths. In the second Mn2+ site, Mn2+ is bonded to four O2- atoms to form MnO4 tetrahedra that share corners with two equivalent NaO4 tetrahedra, corners with two equivalent MnO4 tetrahedra, corners with two equivalent NaO5 trigonal bipyramids, a cornercorner with one NaO4 trigonal pyramid, and an edgeedge with one MnO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 2.06–2.13 Å. In the third Mn2+ site, Mn2+ is bonded to four O2- atoms to form MnO4 tetrahedra that share corners with two MnO4 tetrahedra, corners with four NaO4 tetrahedra, a cornercorner with one NaO5 trigonal bipyramid, a cornercorner with one NaO4 trigonal pyramid, an edgeedge with one MnO4 tetrahedra, and an edgeedge with one NaO5 trigonal bipyramid. There are a spread of Mn–O bond distances ranging from 2.07–2.13 Å. In the fourth Mn2+ site, Mn2+ is bonded to four O2- atoms to form MnO4 tetrahedra that share corners with two MnO4 tetrahedra, corners with three NaO4 tetrahedra, a cornercorner with one NaO5 trigonal bipyramid, an edgeedge with one MnO4 tetrahedra, and an edgeedge with one NaO5 trigonal bipyramid. There are a spread of Mn–O bond distances ranging from 2.04–2.13 Å. In the fifth Mn2+ site, Mn2+ is bonded to four O2- atoms to form MnO4 tetrahedra that share corners with two equivalent MnO4 tetrahedra, corners with four NaO4 tetrahedra, a cornercorner with one NaO4 trigonal pyramid, an edgeedge with one MnO4 tetrahedra, and edges with two equivalent NaO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.07–2.15 Å. In the sixth Mn2+ site, Mn2+ is bonded in a trigonal planar geometry to three O2- atoms. There are two shorter (2.00 Å) and one longer (2.05 Å) Mn–O bond lengths. There are twelve inequivalent O2- sites. In the first O2- site, O2- is bonded to six Na1+ and one Mn2+ atom to form distorted ONa6Mn pentagonal bipyramids that share corners with two ONa6Mn pentagonal bipyramids and a cornercorner with one ONa3Mn2 trigonal bipyramid. In the second O2- site, O2- is bonded in a 6-coordinate geometry to four Na1+ and two Mn2+ atoms. In the third O2- site, O2- is bonded in a 7-coordinate geometry to five Na1+ and two Mn2+ atoms. In the fourth O2- site, O2- is bonded in a 7-coordinate geometry to five Na1+ and two Mn2+ atoms. In the fifth O2- site, O2- is bonded in a 7-coordinate geometry to five Na1+ and two equivalent Mn2+ atoms. In the sixth O2- site, O2- is bonded in a 7-coordinate geometry to six Na1+ and one Mn2+ atom. In the seventh O2- site, O2- is bonded to six Na1+ and one Mn2+ atom to form distorted corner-sharing ONa6Mn pentagonal bipyramids. In the eighth O2- site, O2- is bonded in a 7-coordinate geometry to five Na1+ and two equivalent Mn2+ atoms. In the ninth O2- site, O2- is bonded in a 5-coordinate geometry to four Na1+ and two Mn2+ atoms. In the tenth O2- site, O2- is bonded in a 7-coordinate geometry to five Na1+ and two Mn2+ atoms. In the eleventh O2- site, O2- is bonded to three Na1+ and two Mn2+ atoms to form corner-sharing ONa3Mn2 trigonal bipyramids. In the twelfth O2- site, O2- is bonded in a 6-coordinate geometry to five Na1+ and one Mn2+ atom.

36 MATERIALS SCIENCE↗