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Materials Data on Na4Ti5O12 by Materials Project

Na4Ti5O12 crystallizes in the trigonal P3 space group. The structure is three-dimensional. there are four inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded in a 3-coordinate geometry to six O2- atoms. There are three shorter (2.34 Å) and three longer (2.67 Å) Na–O bond lengths. In the second Na1+ site, Na1+ is bonded in a 3-coordinate geometry to six O2- atoms. There are three shorter (2.34 Å) and three longer (2.65 Å) Na–O bond lengths. In the third Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are three shorter (2.36 Å) and three longer (2.42 Å) Na–O bond lengths. In the fourth Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are three shorter (2.36 Å) and three longer (2.45 Å) Na–O bond lengths. There are five inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded in a 6-coordinate geometry to six O2- atoms. There are three shorter (1.90 Å) and three longer (2.12 Å) Ti–O bond lengths. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedral tilt angles are 22°. There is three shorter (1.97 Å) and three longer (1.98 Å) Ti–O bond length. In the third Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted corner-sharing TiO6 octahedra. The corner-sharing octahedral tilt angles are 22°. There are three shorter (1.85 Å) and three longer (2.17 Å) Ti–O bond lengths. In the fourth Ti4+ site, Ti4+ is bonded in a 6-coordinate geometry to six O2- atoms. There are three shorter (1.91 Å) and three longer (2.11 Å) Ti–O bond lengths. In the fifth Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted corner-sharing TiO6 octahedra. The corner-sharing octahedral tilt angles are 22°. There are three shorter (1.84 Å) and three longer (2.19 Å) Ti–O bond lengths. There are four inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted see-saw-like geometry to one Na1+ and three Ti4+ atoms. In the second O2- site, O2- is bonded in a 5-coordinate geometry to three Na1+ and two Ti4+ atoms. In the third O2- site, O2- is bonded in a distorted see-saw-like geometry to one Na1+ and three Ti4+ atoms. In the fourth O2- site, O2- is bonded in a 5-coordinate geometry to three Na1+ and two Ti4+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Na4Ti5O12 by Materials Project

Na4Ti5O12 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are four 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 2.39–2.94 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 2.32–2.46 Å. In the third 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 2.37–2.91 Å. In the fourth Na1+ site, Na1+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Na–O bond distances ranging from 2.41–2.76 Å. There are five inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to six O2- atoms to form edge-sharing TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.88–2.09 Å. In the second Ti4+ site, Ti4+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ti–O bond distances ranging from 1.73–2.43 Å. In the third Ti4+ site, Ti4+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ti–O bond distances ranging from 1.73–2.44 Å. In the fourth Ti4+ site, Ti4+ is bonded to six O2- atoms to form edge-sharing TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.92–2.07 Å. In the fifth Ti4+ site, Ti4+ is bonded to six O2- atoms to form edge-sharing TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.93–2.08 Å. There are twelve inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Na1+ and three Ti4+ atoms. In the second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Na1+ and three Ti4+ atoms. In the third O2- site, O2- is bonded to two Na1+ and three Ti4+ atoms to form distorted ONa2Ti3 trigonal bipyramids that share corners with two equivalent ONa2Ti3 trigonal bipyramids, edges with three ONa2Ti3 trigonal bipyramids, and an edgeedge with one ONaTi3 trigonal pyramid. In the fourth O2- site, O2- is bonded to two Na1+ and three Ti4+ atoms to form distorted ONa2Ti3 trigonal bipyramids that share corners with two equivalent ONa2Ti3 trigonal bipyramids, edges with three ONa2Ti3 trigonal bipyramids, and an edgeedge with one ONaTi3 trigonal pyramid. In the fifth O2- site, O2- is bonded in a 5-coordinate geometry to four Na1+ and one Ti4+ atom. In the sixth O2- site, O2- is bonded in a 5-coordinate geometry to four Na1+ and one Ti4+ atom. In the seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti4+ atoms. In the eighth O2- site, O2- is bonded to one Na1+ and three Ti4+ atoms to form a mixture of distorted edge and corner-sharing ONaTi3 trigonal pyramids. In the ninth O2- site, O2- is bonded in a 5-coordinate geometry to three Na1+ and two Ti4+ atoms. In the tenth O2- site, O2- is bonded in a 5-coordinate geometry to three Na1+ and two Ti4+ atoms. In the eleventh O2- site, O2- is bonded to two Na1+ and three Ti4+ atoms to form distorted ONa2Ti3 trigonal bipyramids that share a cornercorner with one ONaTi3 trigonal pyramid and edges with four ONa2Ti3 trigonal bipyramids. In the twelfth O2- site, O2- is bonded to two Na1+ and three Ti4+ atoms to form distorted ONa2Ti3 trigonal bipyramids that share corners with two equivalent ONaTi3 trigonal pyramids and edges with four ONa2Ti3 trigonal bipyramids.

36 MATERIALS SCIENCE↗

Materials Data on Na4Ti5O12 by Materials Project

Na4Ti5O12 is Spinel-like structured and crystallizes in the monoclinic C2/c space group. The structure is three-dimensional. there are three inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded to four O2- atoms to form NaO4 tetrahedra that share corners with ten TiO6 octahedra. The corner-sharing octahedra tilt angles range from 51–68°. There are a spread of Na–O bond distances ranging from 2.21–2.28 Å. In the second Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.27–2.53 Å. In the third Na1+ site, Na1+ is bonded to four O2- atoms to form NaO4 tetrahedra that share corners with ten TiO6 octahedra. The corner-sharing octahedra tilt angles range from 48–67°. All Na–O bond lengths are 2.19 Å. There are three inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six NaO4 tetrahedra and edges with four TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.97–2.00 Å. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six NaO4 tetrahedra and edges with five TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.86–2.20 Å. In the third Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with six NaO4 tetrahedra and edges with five TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.89–2.29 Å. There are six inequivalent O2- sites. In the first O2- site, O2- is bonded to two Na1+ and two Ti4+ atoms to form distorted ONa2Ti2 trigonal pyramids that share corners with five ONaTi3 tetrahedra, corners with six ONa2Ti2 trigonal pyramids, and edges with two ONa2Ti2 trigonal pyramids. In the second O2- site, O2- is bonded to two Na1+ and two Ti4+ atoms to form distorted ONa2Ti2 trigonal pyramids that share corners with five ONaTi3 tetrahedra, corners with six ONa2Ti2 trigonal pyramids, and edges with two ONa2Ti2 trigonal pyramids. In the third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Na1+ and three Ti4+ atoms. In the fourth O2- site, O2- is bonded to two Na1+ and two Ti4+ atoms to form distorted ONa2Ti2 trigonal pyramids that share corners with six ONaTi3 tetrahedra, corners with four ONa2Ti2 trigonal pyramids, and edges with two ONa2Ti2 trigonal pyramids. In the fifth O2- site, O2- is bonded to one Na1+ and three Ti4+ atoms to form distorted ONaTi3 tetrahedra that share a cornercorner with one ONaTi3 tetrahedra, corners with eight ONa2Ti2 trigonal pyramids, and edges with three ONaTi3 tetrahedra. In the sixth O2- site, O2- is bonded to one Na1+ and three Ti4+ atoms to form distorted ONaTi3 tetrahedra that share a cornercorner with one ONaTi3 tetrahedra, corners with eight ONa2Ti2 trigonal pyramids, and edges with three ONaTi3 tetrahedra.

36 MATERIALS SCIENCE↗