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Materials Data on Tb2TiO5 by Materials Project

Tb2TiO5 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are sixteen inequivalent Tb3+ sites. In the first Tb3+ site, Tb3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Tb–O bond distances ranging from 2.24–2.74 Å. In the second Tb3+ site, Tb3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Tb–O bond distances ranging from 2.14–2.54 Å. In the third Tb3+ site, Tb3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Tb–O bond distances ranging from 2.24–2.73 Å. In the fourth Tb3+ site, Tb3+ is bonded to six O2- atoms to form distorted TbO6 octahedra that share corners with four TiO6 octahedra, a cornercorner with one TiO5 trigonal bipyramid, and an edgeedge with one TbO7 pentagonal bipyramid. The corner-sharing octahedra tilt angles range from 57–63°. There are a spread of Tb–O bond distances ranging from 2.27–2.48 Å. In the fifth Tb3+ site, Tb3+ is bonded to six O2- atoms to form distorted TbO6 pentagonal pyramids that share a cornercorner with one TiO6 octahedra and edges with two TiO6 octahedra. The corner-sharing octahedral tilt angles are 39°. There are a spread of Tb–O bond distances ranging from 2.13–2.35 Å. In the sixth Tb3+ site, Tb3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Tb–O bond distances ranging from 2.25–2.73 Å. In the seventh Tb3+ site, Tb3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Tb–O bond distances ranging from 2.29–2.74 Å. In the eighth Tb3+ site, Tb3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Tb–O bond distances ranging from 2.17–2.48 Å. In the ninth Tb3+ site, Tb3+ is bonded to seven O2- atoms to form distorted TbO7 pentagonal bipyramids that share corners with two TiO5 trigonal bipyramids, corners with two equivalent TiO4 trigonal pyramids, an edgeedge with one TbO6 octahedra, an edgeedge with one TiO6 octahedra, and an edgeedge with one TiO5 trigonal bipyramid. There are a spread of Tb–O bond distances ranging from 2.32–2.47 Å. In the tenth Tb3+ site, Tb3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Tb–O bond distances ranging from 2.25–2.64 Å. In the eleventh Tb3+ site, Tb3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Tb–O bond distances ranging from 2.21–2.66 Å. In the twelfth Tb3+ site, Tb3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Tb–O bond distances ranging from 2.16–2.63 Å. In the thirteenth Tb3+ site, Tb3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Tb–O bond distances ranging from 2.22–2.43 Å. In the fourteenth Tb3+ site, Tb3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Tb–O bond distances ranging from 2.17–2.59 Å. In the fifteenth Tb3+ site, Tb3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Tb–O bond distances ranging from 2.24–2.96 Å. In the sixteenth Tb3+ site, Tb3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Tb–O bond distances ranging from 2.19–2.63 Å. There are eight inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to five O2- atoms to form TiO5 trigonal bipyramids that share a cornercorner with one TbO7 pentagonal bipyramid and a cornercorner with one TiO4 trigonal pyramid. There are a spread of Ti–O bond distances ranging from 1.85–2.17 Å. In the second Ti4+ site, Ti4+ is bonded to four O2- atoms to form distorted TiO4 trigonal pyramids that share corners with two equivalent TbO7 pentagonal bipyramids and corners with two TiO5 trigonal bipyramids. There are a spread of Ti–O bond distances ranging from 1.77–1.91 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 1.88–2.53 Å. In the fourth Ti4+ site, Ti4+ is bonded to five O2- atoms to form distorted TiO5 trigonal bipyramids that share a cornercorner with one TbO6 octahedra, corners with two TiO6 octahedra, a cornercorner with one TbO7 pentagonal bipyramid, a cornercorner with one TiO4 trigonal pyramid, and an edgeedge with one TbO7 pentagonal bipyramid. The corner-sharing octahedra tilt angles range from 33–76°. There are a spread of Ti–O bond distances ranging from 1.84–2.13 Å. In the fifth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two equivalent TbO6 octahedra, corners with two equivalent TiO6 octahedra, a cornercorner with one TiO5 trigonal bipyramid, an edgeedge with one TbO7 pentagonal bipyramid, and an edgeedge with one TbO6 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 24–63°. There are a spread of Ti–O bond distances ranging from 1.90–2.01 Å. In the sixth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two equivalent TbO6 octahedra, corners with two equivalent TiO6 octahedra, a cornercorner with one TiO5 trigonal bipyramid, and an edgeedge with one TbO6 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 24–63°. There are a spread of Ti–O bond distances ranging from 1.87–2.32 Å. In the seventh Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share a cornercorner with one TbO6 pentagonal pyramid. There are a spread of Ti–O bond distances ranging from 1.94–2.13 Å. In the eighth Ti4+ site, Ti4+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Ti–O bond distances ranging from 1.87–2.22 Å. There are forty inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to two Tb3+ and two Ti4+ atoms. In the second O2- site, O2- is bonded in a 2-coordinate geometry to one Tb3+ and two Ti4+ atoms. In the third O2- site, O2- is bonded to three Tb3+ and one Ti4+ atom to form distorted OTb3Ti trigonal pyramids that share corners with five OTb3Ti tetrahedra and an edgeedge with one OTb4 tetrahedra. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Tb3+ and two Ti4+ atoms. In the fifth O2- site, O2- is bonded in a 4-coordinate geometry to three Tb3+ and one Ti4+ atom. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to three Tb3+ and one Ti4+ atom. In the seventh O2- site, O2- is bonded in a 3-coordinate geometry to one Tb3+ and two Ti4+ atoms. In the eighth O2- site, O2- is bonded to three Tb3+ and one Ti4+ atom to form distorted OTb3Ti tetrahedra that share corners with three OTb3Ti tetrahedra, corners with two equivalent OTb3Ti trigonal pyramids, and an edgeedge with one OTb4 tetrahedra. In the ninth O2- site, O2- is bonded in a 3-coordinate geometry to two Tb3+ and one Ti4+ atom. In the tenth O2- site, O2- is bonded in a 4-coordinate geometry to three Tb3+ and one Ti4+ atom. In the eleventh O2- site, O2- is bonded to four Tb3+ atoms to form distorted OTb4 tetrahedra that share corners with five OTb4 tetrahedra, edges with two OTb3Ti tetrahedra, and an edgeedge with one OTb3Ti trigonal pyramid. In the twelfth O2- site, O2- is bonded to three Tb3+ and one Ti4+ atom to form distorted OTb3Ti tetrahedra that share corners with six OTb4 tetrahedra, a cornercorner with one OTb3Ti trigonal pyramid, and an edgeedge with one OTb3Ti tetrahedra. In the thirteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Tb3+ and two Ti4+ atoms. In the fourteenth O2- site, O2- is bonded to four Tb3+ atoms to form a mixture of corner and edge-sharing OTb4 tetrahedra. In the fifteenth O2- site, O2- is bonded to two Tb3+ and two Ti4+ atoms to form distorted OTb2Ti2 tetrahedra that share corners with three OTb3Ti tetrahedra and edges with two OTb2Ti2 tetrahedra. In the sixteenth O2- site, O2- is bonded to three Tb3+ and one Ti4+ atom to form distorted OTb3Ti tetrahedra that share corners with six OTb3Ti tetrahedra and edges with two OTb4 tetrahedra. In the seventeenth O2- site, O2- is bonded in a 4-coordinate geometry to three Tb3+ and one Ti4+ atom. In the eighteenth O2- site, O2- is bonded in a 4-coordinate geometry to three Tb3+ and one Ti4+ atom. In the nineteenth O2- site, O2- is bonded to four Tb3+ atoms to form a mixture of corner and edge-sharing OTb4 tetrahedra. In the twentieth O2- site, O2- is bonded in a 1-coordinate geometry to three Tb3+ and one Ti4+ atom. In the twenty-first O2- site, O2- is bonded in a 4-coordinate geometry to three Tb3+ and one Ti4+ atom. In the twenty-second O2- site, O2- is bonded in a 3-coordinate geometry to one Tb3+ and two Ti4+ atoms. In the twenty-third O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Tb3+ and one Ti4+ atom. In the twenty-fourth O2- site, O2- is bonded to three Tb3+ and one Ti4+ atom to form OTb3Ti tetrahedra that share corners with four OTb2Ti2 tetrahedra and edges with two OTb3Ti tetrahedra. In the twenty-fifth O2- site, O2- is bonded to three Tb3+ and one Ti4+ atom to form distorted OTb3Ti tetrahedra that share corners with six OTb2Ti2 tetrahedra and edges with two OTb4 tetrahedra. In the twenty-sixth O2- site, O2- is bonded in a 4-coordinate geometry to two Tb3+ and two Ti4+ atoms. In the twenty-seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to two Tb3+ and one Ti4+ atom. In the twenty-eighth O2- site, O2- is bonded to four Tb3+ atoms to form a mixture of corner and edge-sharing OTb4 tetrahedra. In the twenty-ninth O2- site, O2- is bonded to three Tb3+ and one Ti4+ atom to form OTb3Ti tetrahedra that share corners with two OTb3Ti tetrahedra and edges with two OTb4 tetrahedra. In the thirtieth O2- site, O2- is bonded to four Tb3+ atoms to form distorted OTb4 tetrahedra that share corners with eight OTb4 tetrahedra, a cornercorner with one OTb3Ti trigonal pyramid, and edges with two OTb4 tetrahedra. In the thirty-first O2- site, O2- is bonded to four Tb3+ atoms to form a mixture of corner and edge-sharing OTb4 tetrahedra. In the thirty-second O2- site, O2- is bonded to four Tb3+ atoms to form a mixture of distorted corner and edge-sharing OTb4 tetrahedra. In the thirty-third O2- site, O2- is bonded in a 4-coordinate geometry to two Tb3+ and two Ti4+ atoms. In the thirty-fourth O2- site, O2- is bonded to two Tb3+ and two Ti4+ atoms to form distorted OTb2Ti2 tetrahedra that share corners with three OTb3Ti tetrahedra and edges with three OTb2Ti2 tetrahedra. In the thirty-fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Tb3+ and one Ti4+ atom. In the thirty-sixth O2- site, O2- is bonded in a 4-coordinate geometry to three Tb3+ and one Ti4+ atom. In the thirty-seventh O2- site, O2- is bonded in a 3-coordinate geometry to three Tb3+ atoms. In the thirty-eighth O2- site, O2- is bonded in a 3-coordinate geometry to one Tb3+ and two Ti4+ atoms. In the thirty-ninth O2- site, O2- is bonded to three Tb3+ and one Ti4+ atom to form OTb3Ti tetrahedra that share corners with three OTb4 tetrahedra, a cornercorner with one OTb3Ti trigonal pyramid, and edges with two OTb4 tetrahedra. In the fortieth O2- site, O2- is bonded in a 4-coordinate geometry to three Tb3+ and one Ti4+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Mg5Al34O56 by Materials Project

Mg5Al34O56 is beta indium sulfide-derived structured and crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are five inequivalent Mg sites. In the first Mg site, Mg is bonded to four O atoms to form MgO4 tetrahedra that share corners with eleven AlO6 octahedra. The corner-sharing octahedra tilt angles range from 52–71°. There are a spread of Mg–O bond distances ranging from 1.86–2.02 Å. In the second Mg site, Mg is bonded to four O atoms to form MgO4 tetrahedra that share corners with twelve AlO6 octahedra. The corner-sharing octahedra tilt angles range from 55–67°. There are a spread of Mg–O bond distances ranging from 1.87–1.98 Å. In the third Mg site, Mg is bonded to four O atoms to form MgO4 tetrahedra that share corners with twelve AlO6 octahedra. The corner-sharing octahedra tilt angles range from 56–61°. There are a spread of Mg–O bond distances ranging from 1.93–1.96 Å. In the fourth Mg site, Mg is bonded to four O atoms to form MgO4 tetrahedra that share corners with twelve AlO6 octahedra. The corner-sharing octahedra tilt angles range from 54–61°. There are a spread of Mg–O bond distances ranging from 1.92–2.01 Å. In the fifth Mg site, Mg is bonded to four O atoms to form MgO4 tetrahedra that share corners with twelve AlO6 octahedra. The corner-sharing octahedra tilt angles range from 50–64°. There are a spread of Mg–O bond distances ranging from 1.89–2.27 Å. There are twenty-seven inequivalent Al sites. In the first Al site, Al is bonded to four O atoms to form corner-sharing AlO4 trigonal pyramids. The corner-sharing octahedra tilt angles range from 59–68°. There are a spread of Al–O bond distances ranging from 1.72–2.12 Å. In the second Al site, Al is bonded to six O atoms to form AlO6 octahedra that share corners with four AlO4 tetrahedra, corners with two equivalent AlO4 trigonal pyramids, and edges with three AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.82–2.12 Å. In the third Al site, Al is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Al–O bond distances ranging from 1.72–2.35 Å. In the fourth Al site, Al is bonded to four O atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 48–62°. There are a spread of Al–O bond distances ranging from 1.78–1.86 Å. In the fifth Al site, Al is bonded to six O atoms to form AlO6 octahedra that share corners with six AlO4 tetrahedra and edges with four AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.89–2.03 Å. In the sixth Al site, Al is bonded to six O atoms to form AlO6 octahedra that share corners with six AlO4 tetrahedra and edges with four AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.87–2.14 Å. In the seventh Al site, Al is bonded to four O atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–58°. There are a spread of Al–O bond distances ranging from 1.78–1.85 Å. In the eighth Al site, Al is bonded to six O atoms to form AlO6 octahedra that share a cornercorner with one MgO4 tetrahedra, corners with five AlO4 tetrahedra, and edges with four AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.83–2.11 Å. In the ninth Al site, Al is bonded to six O atoms to form AlO6 octahedra that share corners with six AlO4 tetrahedra and edges with four AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.91–2.04 Å. In the tenth Al site, Al is bonded to four O atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–64°. There are a spread of Al–O bond distances ranging from 1.75–1.93 Å. In the eleventh Al site, Al is bonded to six O atoms to form AlO6 octahedra that share a cornercorner with one AlO4 tetrahedra, corners with five MgO4 tetrahedra, and edges with six AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.84–2.00 Å. In the twelfth Al site, Al is bonded to six O atoms to form AlO6 octahedra that share a cornercorner with one AlO4 tetrahedra, corners with five MgO4 tetrahedra, and edges with six AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.84–2.00 Å. In the thirteenth Al site, Al is bonded to six O atoms to form AlO6 octahedra that share corners with three equivalent MgO4 tetrahedra, corners with three equivalent AlO4 tetrahedra, and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.80–2.12 Å. In the fourteenth Al site, Al is bonded to four O atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 54–60°. There is three shorter (1.81 Å) and one longer (1.87 Å) Al–O bond length. In the fifteenth Al site, Al is bonded to six O atoms to form AlO6 octahedra that share corners with two equivalent AlO4 tetrahedra, corners with four MgO4 tetrahedra, and edges with six AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.86–2.07 Å. In the sixteenth Al site, Al is bonded to six O atoms to form AlO6 octahedra that share corners with two equivalent AlO4 tetrahedra, corners with four MgO4 tetrahedra, and edges with six AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.86–2.07 Å. In the seventeenth Al site, Al is bonded to six O atoms to form AlO6 octahedra that share corners with six MgO4 tetrahedra and edges with six AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.82–2.06 Å. In the eighteenth Al site, Al is bonded to four O atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 43–61°. There are a spread of Al–O bond distances ranging from 1.75–1.99 Å. In the nineteenth Al site, Al is bonded to six O atoms to form AlO6 octahedra that share corners with three MgO4 tetrahedra, corners with three AlO4 tetrahedra, and edges with six AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.90–1.99 Å. In the twentieth Al site, Al is bonded to six O atoms to form AlO6 octahedra that share corners with three equivalent MgO4 tetrahedra, corners with three equivalent AlO4 tetrahedra, and edges with six AlO6 octahedra. There is three shorter (1.93 Å) and three longer (1.94 Å) Al–O bond length. In the twenty-first Al site, Al is bonded to six O atoms to form AlO6 octahedra that share corners with three MgO4 tetrahedra, corners with three AlO4 tetrahedra, and edges with six AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.90–1.99 Å. In the twenty-second Al site, Al is bonded to six O atoms to form AlO6 octahedra that share corners with two equivalent MgO4 tetrahedra, corners with three AlO4 tetrahedra, a cornercorner with one AlO4 trigonal pyramid, and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.87–2.05 Å. In the twenty-third Al site, Al is bonded to six O atoms to form AlO6 octahedra that share corners with two equivalent MgO4 tetrahedra, corners with three AlO4 tetrahedra, a cornercorner with one AlO4 trigonal pyramid, and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.87–2.04 Å. In the twenty-fourth Al site, Al is bonded to six O atoms to form AlO6 octahedra that share corners with three equivalent MgO4 tetrahedra, corners with three equivalent AlO4 tetrahedra, and edges with six AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.84–2.02 Å. In the twenty-fifth Al site, Al is bonded to four O atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 54–59°. There are a spread of Al–O bond distances ranging from 1.83–1.90 Å. In the twenty-sixth Al site, Al is bonded to four O atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 55–61°. There are a spread of Al–O bond distances ranging from 1.80–1.89 Å. In the twenty-seventh Al site, Al is bonded to four O atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 51–57°. There are a spread of Al–O bond distances ranging from 1.69–1.96 Å. There are forty-two inequivalent O sites. In the first O site, O is bonded in a rectangular see-saw-like geometry to one Mg and three Al atoms. In the second O site, O is bonded to four Al atoms to form a mixture of distorted edge and corner-sharing OAl4 tetrahedra. In the third O site, O is bonded to four Al atoms to form a mixture of distorted edge and corner-sharing OAl4 trigonal pyramids. In the fourth O site, O is bonded in a rectangular see-saw-like geometry to four Al atoms. In the fifth O site, O is bonded in a 3-coordinate geometry to three Al atoms. In the sixth O site, O is bonded in a trigonal non-coplanar geometry to three Al atoms. In the seventh O site, O is bonded in a rectangular see-saw-like geometry to four Al atoms. In the eighth O site, O is bonded in a distorted trigonal planar geometry to three Al atoms. In the ninth O site, O is bonded in a distorted rectangular see-saw-like geometry to four Al atoms. In the tenth O site, O is bonded in a trigonal planar geometry to three Al atoms. In the eleventh O site, O is bonded in a distorted trigonal planar geometry to three Al atoms. In the twelfth O site, O is bonded in a distorted trigonal planar geometry to three Al atoms. In the thirteenth O site, O is bonded in a rectangular see-saw-like geometry to four Al atoms. In the fourteenth O site, O is bonded in a distorted trigonal planar geometry to three Al atoms. In the fifteenth O site, O is bonded in a rectangular see-saw-like geometry to four Al atoms. In the sixteenth O site, O is bonded in a distorted trigonal planar geometry to three Al atoms. In the seventeenth O site, O is bonded in a trigonal planar geometry to one Mg and two equivalent Al atoms. In the eighteenth O site, O is bonded in a trigonal planar geometry to three Al atoms. In the nineteenth O site, O is bonded in a rectangular see-saw-like geometry to four Al atoms. In the twentieth O site, O is bonded to one Mg and three Al atoms to form distorted OMgAl3 trigonal pyramids that share corners with two equivalent OAl4 tetrahedra, corners with two OMgAl3 trigonal pyramids, and edges with two OMgAl3 trigonal pyramids. In the twenty-first O site, O is bonded in a rectangular see-saw-like geometry to four Al atoms. In the twenty-second O site, O is bonded in a distorted rectangular see-saw-like geometry to one Mg and three Al atoms. In the twenty-third O site, O is bonded in a distorted trigonal planar geometry to three Al atoms. In the twenty-fourth O site, O is bonded in a trigonal planar geometry to three Al atoms. In the twenty-fifth O site, O is bonded to one Mg and three Al atoms to form distorted OMgAl3 trigonal pyramids that share corners with two equivalent OAl4 tetrahedra, corners with two equivalent OMgAl3 trigonal pyramids, and edges with two equivalent OMgAl3 trigonal pyramids. In the twenty-sixth O site, O is bonded in a distorted rectangular see-saw-like geometry to one Mg and three Al atoms. In the twenty-seventh O site, O is bonded in a rectangular see-saw-like geometry to one Mg and three Al atoms. In the twenty-eighth O site, O is bonded in a distorted rectangular see-saw-like geometry to one Mg and three Al atoms. In the twenty-ninth O site, O is bonded to four Al atoms to form distorted corner-sharing OAl4 tetrahedra. In the thirtieth O site, O is bonded in a rectangular see-saw-like geometry to one Mg and three Al atoms. In the thirty-first O site, O is bonded to one Mg and three Al atoms to form distorted corner-sharing OMgAl3 trigonal pyramids. In the thirty-second O site, O is bonded to one Mg and three Al atoms to form a mixture of distorted edge and corner-sharing OMgAl3 trigonal pyramids. In the thirty-third O site, O is bonded in a rectangular see-saw-like geometry to four Al atoms. In the thirty-fourth O site, O is bonded in a

36 MATERIALS SCIENCE↗

Materials Data on Tb6CdS10 by Materials Project

Tb6CdS10 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twenty-four inequivalent Tb3+ sites. In the first Tb3+ site, Tb3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Tb–S bond distances ranging from 2.74–3.06 Å. In the second Tb3+ site, Tb3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Tb–S bond distances ranging from 2.74–3.15 Å. In the third Tb3+ site, Tb3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Tb–S bond distances ranging from 2.72–3.18 Å. In the fourth Tb3+ site, Tb3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Tb–S bond distances ranging from 2.73–3.27 Å. In the fifth Tb3+ site, Tb3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Tb–S bond distances ranging from 2.73–3.19 Å. In the sixth Tb3+ site, Tb3+ is bonded in a 7-coordinate geometry to seven S2- atoms. There are a spread of Tb–S bond distances ranging from 2.69–3.25 Å. In the seventh Tb3+ site, Tb3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Tb–S bond distances ranging from 2.72–3.21 Å. In the eighth Tb3+ site, Tb3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Tb–S bond distances ranging from 2.73–3.15 Å. In the ninth Tb3+ site, Tb3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Tb–S bond distances ranging from 2.74–3.20 Å. In the tenth Tb3+ site, Tb3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Tb–S bond distances ranging from 2.75–3.05 Å. In the eleventh Tb3+ site, Tb3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Tb–S bond distances ranging from 2.73–3.22 Å. In the twelfth Tb3+ site, Tb3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Tb–S bond distances ranging from 2.70–3.09 Å. In the thirteenth Tb3+ site, Tb3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Tb–S bond distances ranging from 2.74–3.10 Å. In the fourteenth Tb3+ site, Tb3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Tb–S bond distances ranging from 2.74–3.07 Å. In the fifteenth Tb3+ site, Tb3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Tb–S bond distances ranging from 2.75–3.08 Å. In the sixteenth Tb3+ site, Tb3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Tb–S bond distances ranging from 2.72–3.30 Å. In the seventeenth Tb3+ site, Tb3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Tb–S bond distances ranging from 2.72–3.19 Å. In the eighteenth Tb3+ site, Tb3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Tb–S bond distances ranging from 2.75–3.21 Å. In the nineteenth Tb3+ site, Tb3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Tb–S bond distances ranging from 2.70–3.19 Å. In the twentieth Tb3+ site, Tb3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Tb–S bond distances ranging from 2.73–3.13 Å. In the twenty-first Tb3+ site, Tb3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Tb–S bond distances ranging from 2.72–3.12 Å. In the twenty-second Tb3+ site, Tb3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Tb–S bond distances ranging from 2.74–3.25 Å. In the twenty-third Tb3+ site, Tb3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Tb–S bond distances ranging from 2.74–3.20 Å. In the twenty-fourth Tb3+ site, Tb3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Tb–S bond distances ranging from 2.75–3.14 Å. There are four inequivalent Cd2+ sites. In the first Cd2+ site, Cd2+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Cd–S bond distances ranging from 2.67–3.22 Å. In the second Cd2+ site, Cd2+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Cd–S bond distances ranging from 2.59–3.19 Å. In the third Cd2+ site, Cd2+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Cd–S bond distances ranging from 2.65–3.20 Å. In the fourth Cd2+ site, Cd2+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Cd–S bond distances ranging from 2.67–3.31 Å. There are forty inequivalent S2- sites. In the first S2- site, S2- is bonded in a 6-coordinate geometry to four Tb3+ and two Cd2+ atoms. In the second S2- site, S2- is bonded in a 6-coordinate geometry to four Tb3+ and two Cd2+ atoms. In the third S2- site, S2- is bonded in a 6-coordinate geometry to five Tb3+ and one Cd2+ atom. In the fourth S2- site, S2- is bonded in a 6-coordinate geometry to four Tb3+ and two Cd2+ atoms. In the fifth S2- site, S2- is bonded in a 6-coordinate geometry to five Tb3+ and one Cd2+ atom. In the sixth S2- site, S2- is bonded in a 6-coordinate geometry to four Tb3+ and two Cd2+ atoms. In the seventh S2- site, S2- is bonded in a 6-coordinate geometry to five Tb3+ and one Cd2+ atom. In the eighth S2- site, S2- is bonded in a 6-coordinate geometry to four Tb3+ and two Cd2+ atoms. In the ninth S2- site, S2- is bonded in a 5-coordinate geometry to four Tb3+ and one Cd2+ atom. In the tenth S2- site, S2- is bonded in a 6-coordinate geometry to five Tb3+ and one Cd2+ atom. In the eleventh S2- site, S2- is bonded in a 6-coordinate geometry to four Tb3+ and two Cd2+ atoms. In the twelfth S2- site, S2- is bonded in a 5-coordinate geometry to four Tb3+ and one Cd2+ atom. In the thirteenth S2- site, S2- is bonded in a 6-coordinate geometry to five Tb3+ and one Cd2+ atom. In the fourteenth S2- site, S2- is bonded in a 6-coordinate geometry to five Tb3+ and one Cd2+ atom. In the fifteenth S2- site, S2- is bonded in a 6-coordinate geometry to four Tb3+ and two Cd2+ atoms. In the sixteenth S2- site, S2- is bonded in a 6-coordinate geometry to six Tb3+ atoms. In the seventeenth S2- site, S2- is bonded in a 6-coordinate geometry to four Tb3+ and two Cd2+ atoms. In the eighteenth S2- site, S2- is bonded in a distorted trigonal bipyramidal geometry to four Tb3+ and one Cd2+ atom. In the nineteenth S2- site, S2- is bonded in a 5-coordinate geometry to five Tb3+ atoms. In the twentieth S2- site, S2- is bonded in a 6-coordinate geometry to six Tb3+ atoms. In the twenty-first S2- site, S2- is bonded to five Tb3+ atoms to form distorted STb5 square pyramids that share corners with two equivalent STb5 trigonal bipyramids, an edgeedge with one STb5 trigonal bipyramid, and a faceface with one STb4Cd square pyramid. In the twenty-second S2- site, S2- is bonded in a 6-coordinate geometry to five Tb3+ and one Cd2+ atom. In the twenty-third S2- site, S2- is bonded to five Tb3+ atoms to form distorted STb5 square pyramids that share corners with five STb5 square pyramids, corners with three equivalent STb4Cd trigonal bipyramids, an edgeedge with one STb5 square pyramid, and faces with two STb5 square pyramids. In the twenty-fourth S2- site, S2- is bonded in a 5-coordinate geometry to four Tb3+ and one Cd2+ atom. In the twenty-fifth S2- site, S2- is bonded in a 6-coordinate geometry to five Tb3+ and one Cd2+ atom. In the twenty-sixth S2- site, S2- is bonded to four Tb3+ and one Cd2+ atom to form a mixture of distorted face and edge-sharing STb4Cd square pyramids. In the twenty-seventh S2- site, S2- is bonded to five Tb3+ atoms to form distorted STb5 square pyramids that share corners with two equivalent STb5 square pyramids, a cornercorner with one STb4Cd trigonal bipyramid, edges with four STb5 square pyramids, an edgeedge with one STb4Cd trigonal bipyramid, and a faceface with one STb5 square pyramid. In the twenty-eighth S2- site, S2- is bonded in a 6-coordinate geometry to six Tb3+ atoms. In the twenty-ninth S2- site, S2- is bonded to five Tb3+ atoms to form a mixture of distorted face, edge, and corner-sharing STb5 square pyramids. In the thirtieth S2- site, S2- is bonded to five Tb3+ atoms to form a mixture of distorted edge and corner-sharing STb5 trigonal bipyramids. In the thirty-first S2- site, S2- is bonded in a 6-coordinate geometry to six Tb3+ atoms. In the thirty-second S2- site, S2- is bonded in a 5-coordinate geometry to five Tb3+ atoms. In the thirty-third S2- site, S2- is bonded in a 6-coordinate geometry to six Tb3+ atoms. In the thirty-fourth S2- site, S2- is bonded to four Tb3+ and one Cd2+ atom to form a mixture of distorted edge and corner-sharing STb4Cd trigonal bipyramids. In the thirty-fifth S2- site, S2- is bonded in a 6-coordinate geometry to five Tb3+ and one Cd2+ atom. In the thirty-sixth S2- site, S2- is bonded in a 5-coordinate geometry to five Tb3+ atoms. In the thirty-seventh S2- site, S2- is bonded to five Tb3+ atoms to form distorted STb5 square pyramids that share corners with seven STb5 square pyramids, edges with two STb5 square pyramids, an edgeedge with one STb4Cd trigonal bipyramid, and a faceface with one STb5 square pyramid. In the thirty-eighth S2- site, S2- is bonded to five Tb3+ atoms to form a mixture of distorted face, edge, and corner-sharing STb5 square pyramids. In the thirty-ninth S2- site, S2- is bonded in a 5-coordinate geometry to five Tb3+ atoms. In the fortieth S2- site, S2- is bonded in a 6-coordinate geometry to five Tb3+ and one Cd2+ atom.

36 MATERIALS SCIENCE↗

Materials Data on MgSiO3 by Materials Project

MgSiO3 is Esseneite-derived structured and crystallizes in the monoclinic C2 space group. The structure is three-dimensional. there are eighteen inequivalent Mg2+ sites. In the first Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six SiO4 tetrahedra. There are a spread of Mg–O bond distances ranging from 2.02–2.07 Å. In the second Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six SiO4 tetrahedra. There are a spread of Mg–O bond distances ranging from 2.01–2.07 Å. In the third Mg2+ site, Mg2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Mg–O bond distances ranging from 2.18–2.44 Å. In the fourth Mg2+ site, Mg2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Mg–O bond distances ranging from 2.08–2.62 Å. In the fifth Mg2+ site, Mg2+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Mg–O bond distances ranging from 2.13–2.47 Å. In the sixth Mg2+ site, Mg2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Mg–O bond distances ranging from 2.17–2.61 Å. In the seventh Mg2+ site, Mg2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Mg–O bond distances ranging from 2.19–2.48 Å. In the eighth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six SiO4 tetrahedra. There are a spread of Mg–O bond distances ranging from 2.03–2.06 Å. In the ninth Mg2+ site, Mg2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Mg–O bond distances ranging from 2.22–2.46 Å. In the tenth Mg2+ site, Mg2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Mg–O bond distances ranging from 2.18–2.58 Å. In the eleventh Mg2+ site, Mg2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Mg–O bond distances ranging from 2.18–2.48 Å. In the twelfth Mg2+ site, Mg2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Mg–O bond distances ranging from 2.11–2.63 Å. In the thirteenth Mg2+ site, Mg2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Mg–O bond distances ranging from 2.13–2.54 Å. In the fourteenth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six SiO4 tetrahedra. There are a spread of Mg–O bond distances ranging from 1.99–2.04 Å. In the fifteenth Mg2+ site, Mg2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Mg–O bond distances ranging from 2.17–2.50 Å. In the sixteenth Mg2+ site, Mg2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Mg–O bond distances ranging from 2.12–2.60 Å. In the seventeenth Mg2+ site, Mg2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Mg–O bond distances ranging from 2.13–2.54 Å. In the eighteenth Mg2+ site, Mg2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Mg–O bond distances ranging from 2.17–2.43 Å. There are eighteen inequivalent Si4+ sites. In the first Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two MgO6 octahedra and corners with two SiO6 octahedra. The corner-sharing octahedra tilt angles range from 45–54°. There are a spread of Si–O bond distances ranging from 1.63–1.69 Å. In the second Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one SiO6 octahedra and corners with three MgO6 octahedra. The corner-sharing octahedra tilt angles range from 51–59°. There are a spread of Si–O bond distances ranging from 1.63–1.70 Å. In the third Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two MgO6 octahedra and corners with two SiO6 octahedra. The corner-sharing octahedra tilt angles range from 43–54°. There are a spread of Si–O bond distances ranging from 1.63–1.68 Å. In the fourth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two MgO6 octahedra and corners with two SiO6 octahedra. The corner-sharing octahedra tilt angles range from 46–56°. There are a spread of Si–O bond distances ranging from 1.63–1.70 Å. In the fifth Si4+ site, Si4+ is bonded to six O2- atoms to form corner-sharing SiO6 octahedra. There are a spread of Si–O bond distances ranging from 1.78–1.82 Å. In the sixth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one MgO6 octahedra and corners with three SiO6 octahedra. The corner-sharing octahedra tilt angles range from 42–46°. There are a spread of Si–O bond distances ranging from 1.60–1.68 Å. In the seventh Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two MgO6 octahedra and corners with two SiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–56°. There are a spread of Si–O bond distances ranging from 1.63–1.68 Å. In the eighth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two MgO6 octahedra and corners with two SiO6 octahedra. The corner-sharing octahedra tilt angles range from 46–57°. There are a spread of Si–O bond distances ranging from 1.63–1.69 Å. In the ninth Si4+ site, Si4+ is bonded to six O2- atoms to form corner-sharing SiO6 octahedra. There are a spread of Si–O bond distances ranging from 1.81–1.83 Å. In the tenth Si4+ site, Si4+ is bonded to six O2- atoms to form corner-sharing SiO6 octahedra. There are a spread of Si–O bond distances ranging from 1.77–1.84 Å. In the eleventh Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two MgO6 octahedra and corners with two SiO6 octahedra. The corner-sharing octahedra tilt angles range from 43–53°. There are a spread of Si–O bond distances ranging from 1.63–1.69 Å. In the twelfth Si4+ site, Si4+ is bonded to four O2- atoms to form corner-sharing SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 40–41°. There is two shorter (1.65 Å) and two longer (1.66 Å) Si–O bond length. In the thirteenth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two MgO6 octahedra and corners with two SiO6 octahedra. The corner-sharing octahedra tilt angles range from 44–53°. There are a spread of Si–O bond distances ranging from 1.62–1.69 Å. In the fourteenth Si4+ site, Si4+ is bonded to six O2- atoms to form corner-sharing SiO6 octahedra. There are a spread of Si–O bond distances ranging from 1.79–1.82 Å. In the fifteenth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two MgO6 octahedra and corners with two SiO6 octahedra. The corner-sharing octahedra tilt angles range from 46–57°. There are a spread of Si–O bond distances ranging from 1.63–1.70 Å. In the sixteenth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two equivalent MgO6 octahedra and corners with two equivalent SiO6 octahedra. The corner-sharing octahedra tilt angles range from 45–55°. There is two shorter (1.63 Å) and two longer (1.68 Å) Si–O bond length. In the seventeenth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with four MgO6 octahedra. The corner-sharing octahedral tilt angles are 60°. All Si–O bond lengths are 1.65 Å. In the eighteenth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two equivalent MgO6 octahedra and corners with two equivalent SiO6 octahedra. The corner-sharing octahedra tilt angles range from 45–54°. There is two shorter (1.63 Å) and two longer (1.68 Å) Si–O bond length. There are forty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to three Mg2+ and one Si4+ atom. In the second O2- site, O2- is bonded to three Mg2+ and one Si4+ atom to form a mixture of distorted edge and corner-sharing OMg3Si trigonal pyramids. In the third O2- site, O2- is bonded to three Mg2+ and one Si4+ atom to form a mixture of distorted edge and corner-sharing OMg3Si trigonal pyramids. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to three Mg2+ and one Si4+ atom. In the fifth O2- site, O2- is bonded in a 4-coordinate geometry to two Mg2+ and two Si4+ atoms. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to three Mg2+ and one Si4+ atom. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to three Mg2+ and one Si4+ atom. In the eighth O2- site, O2- is bonded in a 3-coordinate geometry to one Mg2+ and two Si4+ atoms. In the ninth O2- site, O2- is bonded in a 4-coordinate geometry to two Mg2+ and two Si4+ atoms. In the tenth O2- site, O2- is bonded in a 4-coordinate geometry to two Mg2+ and two Si4+ atoms. In the eleventh O2- site, O2- is bonded in a 4-coordinate geometry to three Mg2+ and one Si4+ atom. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to two Mg2+ and two Si4+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Mg2+ and one Si4+ atom. In the fourteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Mg2+ and two Si4+ atoms. In the fifteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Mg2+ and two Si4+ atoms. In the sixteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Mg2+ and two Si4+ atoms. In the seventeenth O2- site, O2- is bonded in a 4-coordinate geometry to three Mg2+ and one Si4+ atom. In the eighteenth O2- site, O2- is bonded to three Mg2+ and one Si4+ atom to form a mixture of distorted edge and corner-sharing OMg3Si trigonal pyramids. In the nineteenth O2- site, O2- is bonded to three Mg2+ and one Si4+ atom to form a mixture of distorted edge and corner-sharing OMg3Si trigonal pyramids. In the twentieth O2- site, O2- is bonded in a 4-coordinate geometry to two Mg2+ and two Si4+ atoms. In the twenty-first O2- site, O2- is bonded in a 4-coordinate geometry to two Mg2+ and two Si4+ atoms. In the twenty-second O2- site, O2- is bonded to three Mg2+ and one Si4+ atom to form a mixture of distorted edge and corner-sharing OMg3Si trigonal pyramids. In the twenty-third O2- site, O2- is bonded to three Mg2+ and one Si4+ atom to form a mixture of distorted edge and corner-sharing OMg3Si tetrahedra. In the twenty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to two Mg2+ and two Si4+ atoms. In the twenty-fifth O2- site, O2- is bonded in a 4-coordinate geometry to three Mg2+ and one Si4+ atom. In the twenty-sixth O2- site, O2- is bonded in a 4-coordinate geometry to three Mg2+ and one Si4+ atom. In the twenty-seventh O2- site, O2- is bonded in a 2-coordinate geometry to two Mg2+ and two Si4+ atoms. In the twenty-eighth O2- site, O2- is bonded in a 2-coordinate geometry to two Mg2+ and two Si4+ atoms. In the twenty-ninth O2- site, O2- is bonded in a 4-coordinate geometry to two Mg2+ and two Si4+ atoms. In the thirtieth O2- site, O2- is bonded to three Mg2+ and one Si4+ atom to form a mixture of distorted edge and corner-sharing OMg3Si trigonal pyramids. In the thirty-first O2- site, O2- is bonded in a 4-coordinate geometry to two Mg2+ and two Si4+ atoms. In the thirty-second O2- site, O2- is bonded in a 4-coordinate geometry to three Mg2+ and one Si4+ atom. In the thirty-third O2- site, O2- is bonded in a 4-coordinate geometry to two Mg2+ and two Si4+ atoms. In the thirty-fourth O2- site, O2- is bonded to three Mg2+ and one Si4+ atom to form distorted corner-sharing OMg3Si trigonal pyramids. In the thirty-fifth O2- site, O2- is bonded in a 4-coordinate geometry to two Mg2+ and two Si4+ atoms. In the thirty-sixth O2- site, O2- is bonded to three Mg2+ and one Si4+ atom to form a mixture of distorted edge and corner-sharing OMg3Si trigonal pyramid

36 MATERIALS SCIENCE↗

Materials Data on MgAl2O4 by Materials Project

MgAl2O4 is Spinel-like structured and crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are fourteen inequivalent Mg2+ sites. In the first Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with two equivalent MgO6 octahedra and corners with ten AlO6 octahedra. The corner-sharing octahedra tilt angles range from 52–65°. There are a spread of Mg–O bond distances ranging from 1.92–2.01 Å. In the second Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with two AlO4 tetrahedra, corners with four MgO4 tetrahedra, and edges with six AlO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.00–2.09 Å. In the third Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with three MgO6 octahedra and corners with nine AlO6 octahedra. The corner-sharing octahedra tilt angles range from 56–62°. There are a spread of Mg–O bond distances ranging from 1.92–2.00 Å. In the fourth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with three MgO4 tetrahedra, corners with three AlO4 tetrahedra, and edges with six AlO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.01–2.08 Å. In the fifth Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with three MgO6 octahedra and corners with nine AlO6 octahedra. The corner-sharing octahedra tilt angles range from 56–62°. There are a spread of Mg–O bond distances ranging from 1.91–1.98 Å. In the sixth Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share a cornercorner with one MgO6 octahedra and corners with eleven AlO6 octahedra. The corner-sharing octahedra tilt angles range from 57–66°. There are a spread of Mg–O bond distances ranging from 1.97–2.00 Å. In the seventh Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with three MgO4 tetrahedra, corners with three AlO4 tetrahedra, and edges with six AlO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.01–2.08 Å. In the eighth Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with twelve AlO6 octahedra. The corner-sharing octahedra tilt angles range from 58–62°. There are a spread of Mg–O bond distances ranging from 1.93–1.98 Å. In the ninth Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with three MgO6 octahedra and corners with nine AlO6 octahedra. The corner-sharing octahedra tilt angles range from 56–62°. There is three shorter (1.93 Å) and one longer (1.98 Å) Mg–O bond length. In the tenth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with two equivalent AlO4 tetrahedra, corners with four MgO4 tetrahedra, and edges with six AlO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.00–2.09 Å. In the eleventh Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with two equivalent MgO6 octahedra and corners with ten AlO6 octahedra. The corner-sharing octahedra tilt angles range from 55–63°. There are a spread of Mg–O bond distances ranging from 1.93–1.98 Å. In the twelfth Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with twelve AlO6 octahedra. The corner-sharing octahedra tilt angles range from 58–62°. There are a spread of Mg–O bond distances ranging from 1.93–1.98 Å. In the thirteenth Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with twelve AlO6 octahedra. The corner-sharing octahedra tilt angles range from 56–61°. There are a spread of Mg–O bond distances ranging from 1.94–2.01 Å. In the fourteenth Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with twelve AlO6 octahedra. The corner-sharing octahedra tilt angles range from 57–63°. There is three shorter (1.95 Å) and one longer (2.04 Å) Mg–O bond length. There are twenty-one inequivalent Al3+ sites. In the first Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with three MgO6 octahedra and corners with nine AlO6 octahedra. The corner-sharing octahedra tilt angles range from 55–61°. There are a spread of Al–O bond distances ranging from 1.82–1.89 Å. In the second Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with two AlO4 tetrahedra, corners with four MgO4 tetrahedra, edges with two equivalent MgO6 octahedra, and edges with four AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.85–2.03 Å. In the third Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with three equivalent MgO4 tetrahedra, corners with three equivalent AlO4 tetrahedra, edges with two MgO6 octahedra, and edges with four AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.89–2.01 Å. In the fourth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with three MgO6 octahedra and corners with nine AlO6 octahedra. The corner-sharing octahedra tilt angles range from 55–60°. There are a spread of Al–O bond distances ranging from 1.83–1.89 Å. In the fifth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with three MgO4 tetrahedra, corners with three AlO4 tetrahedra, edges with two equivalent MgO6 octahedra, and edges with four AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.86–2.06 Å. In the sixth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with three equivalent MgO4 tetrahedra, corners with three equivalent AlO4 tetrahedra, edges with two MgO6 octahedra, and edges with four AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.89–2.01 Å. In the seventh Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with three MgO6 octahedra and corners with nine AlO6 octahedra. The corner-sharing octahedra tilt angles range from 55–60°. There are a spread of Al–O bond distances ranging from 1.82–1.88 Å. In the eighth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with three MgO4 tetrahedra, corners with three AlO4 tetrahedra, edges with two equivalent MgO6 octahedra, and edges with four AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.86–2.07 Å. In the ninth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with three equivalent MgO4 tetrahedra, corners with three equivalent AlO4 tetrahedra, edges with two MgO6 octahedra, and edges with four AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.88–2.02 Å. In the tenth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with two equivalent AlO4 tetrahedra, corners with four MgO4 tetrahedra, edges with two equivalent MgO6 octahedra, and edges with four AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.87–2.08 Å. In the eleventh Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six MgO4 tetrahedra, an edgeedge with one MgO6 octahedra, and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.88–1.98 Å. In the twelfth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six MgO4 tetrahedra and edges with six AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.92–1.97 Å. In the thirteenth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six MgO4 tetrahedra and edges with six AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.91–1.97 Å. In the fourteenth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six MgO4 tetrahedra and edges with six AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.89–1.98 Å. In the fifteenth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six MgO4 tetrahedra and edges with six AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.91–1.97 Å. In the sixteenth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with two equivalent AlO4 tetrahedra, corners with four MgO4 tetrahedra, and edges with six AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.91–1.99 Å. In the seventeenth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six MgO4 tetrahedra and edges with six AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.91–1.96 Å. In the eighteenth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six MgO4 tetrahedra and edges with six AlO6 octahedra. There is three shorter (1.90 Å) and three longer (1.97 Å) Al–O bond length. In the nineteenth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with two equivalent AlO4 tetrahedra, corners with four MgO4 tetrahedra, and edges with six AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.91–2.01 Å. In the twentieth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with three equivalent MgO4 tetrahedra, corners with three equivalent AlO4 tetrahedra, an edgeedge with one MgO6 octahedra, and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.83–2.08 Å. In the twenty-first Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share a cornercorner with one MgO6 octahedra and corners with eleven AlO6 octahedra. The corner-sharing octahedra tilt angles range from 53–61°. There are a spread of Al–O bond distances ranging from 1.75–1.88 Å. There are forty-two inequivalent O2- sites. In the first O2- site, O2- is bonded to one Mg2+ and three Al3+ atoms to form a mixture of distorted edge and corner-sharing OMgAl3 trigonal pyramids. In the second O2- site, O2- is bonded to one Mg2+ and three Al3+ atoms to form a mixture of distorted edge and corner-sharing OMgAl3 trigonal pyramids. In the third O2- site, O2- is bonded to one Mg2+ and three Al3+ atoms to form a mixture of distorted edge and corner-sharing OMgAl3 trigonal pyramids. In the fourth O2- site, O2- is bonded to four Al3+ atoms to form distorted OAl4 trigonal pyramids that share corners with nine OMgAl3 trigonal pyramids, an edgeedge with one OMgAl3 tetrahedra, and edges with two equivalent OAl4 trigonal pyramids. In the fifth O2- site, O2- is bonded to one Mg2+ and three Al3+ atoms to form OMgAl3 tetrahedra that share corners with twelve OMgAl3 trigonal pyramids and edges with three OAl4 trigonal pyramids. In the sixth O2- site, O2- is bonded to four Al3+ atoms to form distorted OAl4 trigonal pyramids that share corners with nine OMgAl3 trigonal pyramids, an edgeedge with one OMgAl3 tetrahedra, and edges with two OAl4 trigonal pyramids. In the seventh O2- site, O2- is bonded to one Mg2+ and three Al3+ atoms to form a mixture of distorted edge and corner-sharing OMgAl3 tetrahedra. In the eighth O2- site, O2- is bonded to one Mg2+ and three Al3+ atoms to form distorted OMgAl3 trigonal pyramids that share corners with three equivalent OMgAl3 tetrahedra, corners with seven OAl4 trigonal pyramids, and edges with three OMgAl3 trigonal pyramids. In the ninth O2- site, O2- is bonded to one Mg2+ and three Al3+ atoms to form a mixture of distorted edge and corner-sharing OMgAl3 trigonal pyramids. In the tenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Mg2+ and two Al3+ atoms. In the eleventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Mg2+ and three Al3+ atoms. In t

36 MATERIALS SCIENCE↗

Materials Data on Sr17(Ta5S21)2 by Materials Project

Sr17Ta10S42 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are seventeen inequivalent Sr2+ sites. In the first Sr2+ site, Sr2+ is bonded to seven S2- atoms to form distorted SrS7 pentagonal bipyramids that share a cornercorner with one TaS6 octahedra, corners with four SrS7 pentagonal bipyramids, corners with two TaS4 tetrahedra, an edgeedge with one SrS7 pentagonal bipyramid, an edgeedge with one TaS4 tetrahedra, and a faceface with one TaS6 octahedra. The corner-sharing octahedral tilt angles are 17°. There are a spread of Sr–S bond distances ranging from 3.01–3.17 Å. In the second Sr2+ site, Sr2+ is bonded in a 7-coordinate geometry to seven S2- atoms. There are a spread of Sr–S bond distances ranging from 3.01–3.31 Å. In the third Sr2+ site, Sr2+ is bonded to seven S2- atoms to form distorted SrS7 pentagonal bipyramids that share a cornercorner with one TaS6 octahedra, corners with four SrS7 pentagonal bipyramids, corners with two TaS4 tetrahedra, an edgeedge with one SrS7 pentagonal bipyramid, an edgeedge with one TaS4 tetrahedra, and a faceface with one TaS6 octahedra. The corner-sharing octahedral tilt angles are 15°. There are a spread of Sr–S bond distances ranging from 3.02–3.15 Å. In the fourth Sr2+ site, Sr2+ is bonded in a 7-coordinate geometry to seven S2- atoms. There are a spread of Sr–S bond distances ranging from 2.99–3.29 Å. In the fifth Sr2+ site, Sr2+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Sr–S bond distances ranging from 2.97–3.33 Å. In the sixth Sr2+ site, Sr2+ is bonded to seven S2- atoms to form distorted SrS7 pentagonal bipyramids that share a cornercorner with one TaS6 octahedra, corners with three SrS7 pentagonal bipyramids, corners with two TaS4 tetrahedra, an edgeedge with one TaS6 octahedra, edges with two SrS7 pentagonal bipyramids, and an edgeedge with one TaS4 tetrahedra. The corner-sharing octahedral tilt angles are 28°. There are a spread of Sr–S bond distances ranging from 3.03–3.14 Å. In the seventh Sr2+ site, Sr2+ is bonded to seven S2- atoms to form distorted SrS7 pentagonal bipyramids that share a cornercorner with one TaS6 octahedra, corners with four SrS7 pentagonal bipyramids, corners with two TaS4 tetrahedra, an edgeedge with one SrS7 pentagonal bipyramid, an edgeedge with one TaS4 tetrahedra, and a faceface with one TaS6 octahedra. The corner-sharing octahedral tilt angles are 16°. There are a spread of Sr–S bond distances ranging from 3.03–3.16 Å. In the eighth Sr2+ site, Sr2+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Sr–S bond distances ranging from 2.97–3.29 Å. In the ninth Sr2+ site, Sr2+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Sr–S bond distances ranging from 3.01–3.37 Å. In the tenth Sr2+ site, Sr2+ is bonded to seven S2- atoms to form distorted SrS7 pentagonal bipyramids that share a cornercorner with one TaS6 octahedra, corners with three SrS7 pentagonal bipyramids, corners with two TaS4 tetrahedra, an edgeedge with one TaS6 octahedra, edges with two SrS7 pentagonal bipyramids, and an edgeedge with one TaS4 tetrahedra. The corner-sharing octahedral tilt angles are 38°. There are a spread of Sr–S bond distances ranging from 3.04–3.19 Å. In the eleventh Sr2+ site, Sr2+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Sr–S bond distances ranging from 2.99–3.37 Å. In the twelfth Sr2+ site, Sr2+ is bonded to seven S2- atoms to form distorted SrS7 pentagonal bipyramids that share a cornercorner with one TaS6 octahedra, corners with four SrS7 pentagonal bipyramids, corners with two TaS4 tetrahedra, edges with two SrS7 pentagonal bipyramids, an edgeedge with one TaS4 tetrahedra, and a faceface with one TaS6 octahedra. The corner-sharing octahedral tilt angles are 23°. There are a spread of Sr–S bond distances ranging from 3.04–3.12 Å. In the thirteenth Sr2+ site, Sr2+ is bonded to seven S2- atoms to form distorted SrS7 pentagonal bipyramids that share a cornercorner with one TaS6 octahedra, corners with four SrS7 pentagonal bipyramids, corners with two TaS4 tetrahedra, an edgeedge with one SrS7 pentagonal bipyramid, an edgeedge with one TaS4 tetrahedra, and a faceface with one TaS6 octahedra. The corner-sharing octahedral tilt angles are 18°. There are a spread of Sr–S bond distances ranging from 3.00–3.16 Å. In the fourteenth Sr2+ site, Sr2+ is bonded to seven S2- atoms to form distorted SrS7 pentagonal bipyramids that share a cornercorner with one TaS6 octahedra, corners with four SrS7 pentagonal bipyramids, corners with two TaS4 tetrahedra, an edgeedge with one TaS6 octahedra, edges with two SrS7 pentagonal bipyramids, and an edgeedge with one TaS4 tetrahedra. The corner-sharing octahedral tilt angles are 37°. There are a spread of Sr–S bond distances ranging from 3.04–3.28 Å. In the fifteenth Sr2+ site, Sr2+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Sr–S bond distances ranging from 3.00–3.44 Å. In the sixteenth Sr2+ site, Sr2+ is bonded to seven S2- atoms to form distorted SrS7 pentagonal bipyramids that share a cornercorner with one TaS6 octahedra, corners with three SrS7 pentagonal bipyramids, corners with two TaS4 tetrahedra, an edgeedge with one TaS6 octahedra, edges with two SrS7 pentagonal bipyramids, and an edgeedge with one TaS4 tetrahedra. The corner-sharing octahedral tilt angles are 38°. There are a spread of Sr–S bond distances ranging from 2.99–3.27 Å. In the seventeenth Sr2+ site, Sr2+ is bonded to seven S2- atoms to form distorted SrS7 pentagonal bipyramids that share a cornercorner with one TaS6 octahedra, corners with three SrS7 pentagonal bipyramids, corners with two TaS4 tetrahedra, edges with two SrS7 pentagonal bipyramids, an edgeedge with one TaS4 tetrahedra, and a faceface with one TaS6 octahedra. The corner-sharing octahedral tilt angles are 17°. There are a spread of Sr–S bond distances ranging from 2.96–3.18 Å. There are ten inequivalent Ta5+ sites. In the first Ta5+ site, Ta5+ is bonded to four S2- atoms to form TaS4 tetrahedra that share corners with four SrS7 pentagonal bipyramids and edges with two SrS7 pentagonal bipyramids. There are a spread of Ta–S bond distances ranging from 2.26–2.31 Å. In the second Ta5+ site, Ta5+ is bonded to four S2- atoms to form TaS4 tetrahedra that share corners with three SrS7 pentagonal bipyramids and an edgeedge with one SrS7 pentagonal bipyramid. There are two shorter (2.28 Å) and two longer (2.29 Å) Ta–S bond lengths. In the third Ta5+ site, Ta5+ is bonded to six S2- atoms to form distorted TaS6 octahedra that share corners with three SrS7 pentagonal bipyramids, an edgeedge with one SrS7 pentagonal bipyramid, and a faceface with one TaS6 octahedra. There are a spread of Ta–S bond distances ranging from 2.29–2.85 Å. In the fourth Ta5+ site, Ta5+ is bonded to six S2- atoms to form TaS6 octahedra that share corners with three SrS7 pentagonal bipyramids, a faceface with one TaS6 octahedra, and faces with three SrS7 pentagonal bipyramids. There are a spread of Ta–S bond distances ranging from 2.36–2.64 Å. In the fifth Ta5+ site, Ta5+ is bonded to four S2- atoms to form TaS4 tetrahedra that share corners with three SrS7 pentagonal bipyramids and edges with two SrS7 pentagonal bipyramids. There are two shorter (2.28 Å) and two longer (2.29 Å) Ta–S bond lengths. In the sixth Ta5+ site, Ta5+ is bonded to four S2- atoms to form TaS4 tetrahedra that share corners with four SrS7 pentagonal bipyramids and an edgeedge with one SrS7 pentagonal bipyramid. There are two shorter (2.28 Å) and two longer (2.29 Å) Ta–S bond lengths. In the seventh Ta5+ site, Ta5+ is bonded to six S2- atoms to form TaS6 octahedra that share corners with three SrS7 pentagonal bipyramids, edges with three SrS7 pentagonal bipyramids, and a faceface with one TaS6 octahedra. There are three shorter (2.35 Å) and three longer (2.64 Å) Ta–S bond lengths. In the eighth Ta5+ site, Ta5+ is bonded to six S2- atoms to form TaS6 octahedra that share a cornercorner with one SrS7 pentagonal bipyramid, a faceface with one TaS6 octahedra, and faces with three SrS7 pentagonal bipyramids. There are a spread of Ta–S bond distances ranging from 2.36–2.63 Å. In the ninth Ta5+ site, Ta5+ is bonded to four S2- atoms to form TaS4 tetrahedra that share corners with three SrS7 pentagonal bipyramids and edges with two SrS7 pentagonal bipyramids. There are a spread of Ta–S bond distances ranging from 2.26–2.30 Å. In the tenth Ta5+ site, Ta5+ is bonded to four S2- atoms to form TaS4 tetrahedra that share corners with three SrS7 pentagonal bipyramids and edges with two SrS7 pentagonal bipyramids. There are one shorter (2.25 Å) and three longer (2.30 Å) Ta–S bond lengths. There are forty-two inequivalent S2- sites. In the first S2- site, S2- is bonded in a 5-coordinate geometry to four Sr2+ and one Ta5+ atom. In the second S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to three Sr2+ and one Ta5+ atom. In the third S2- site, S2- is bonded to three Sr2+ and one Ta5+ atom to form distorted corner-sharing SSr3Ta tetrahedra. In the fourth S2- site, S2- is bonded in a rectangular see-saw-like geometry to three Sr2+ and one Ta5+ atom. In the fifth S2- site, S2- is bonded to three Sr2+ and one Ta5+ atom to form distorted SSr3Ta tetrahedra that share corners with two SSr3Ta2 square pyramids and corners with two SSr3Ta trigonal pyramids. In the sixth S2- site, S2- is bonded in a 3-coordinate geometry to two Sr2+ and one Ta5+ atom. In the seventh S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to three Sr2+ and one Ta5+ atom. In the eighth S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to three Sr2+ and one Ta5+ atom. In the ninth S2- site, S2- is bonded in a rectangular see-saw-like geometry to two Sr2+ and two Ta5+ atoms. In the tenth S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to three Sr2+ and one Ta5+ atom. In the eleventh S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to three Sr2+ and one Ta5+ atom. In the twelfth S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to three Sr2+ and one Ta5+ atom. In the thirteenth S2- site, S2- is bonded in a rectangular see-saw-like geometry to two Sr2+ and two Ta5+ atoms. In the fourteenth S2- site, S2- is bonded in a distorted square co-planar geometry to three Sr2+ and one Ta5+ atom. In the fifteenth S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to three Sr2+ and one Ta5+ atom. In the sixteenth S2- site, S2- is bonded to three Sr2+ and one Ta5+ atom to form distorted SSr3Ta tetrahedra that share corners with two SSr3Ta2 square pyramids and a cornercorner with one SSr3Ta trigonal pyramid. In the seventeenth S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to three Sr2+ and one Ta5+ atom. In the eighteenth S2- site, S2- is bonded to three Sr2+ and two Ta5+ atoms to form distorted corner-sharing SSr3Ta2 square pyramids. In the nineteenth S2- site, S2- is bonded in a 5-coordinate geometry to four Sr2+ and one Ta5+ atom. In the twentieth S2- site, S2- is bonded to three Sr2+ and one Ta5+ atom to form distorted SSr3Ta trigonal pyramids that share a cornercorner with one SSr3Ta2 square pyramid, corners with three SSr3Ta tetrahedra, edges with two SSr3Ta2 square pyramids, and an edgeedge with one SSr3Ta trigonal pyramid. In the twenty-first S2- site, S2- is bonded to three Sr2+ and one Ta5+ atom to form distorted SSr3Ta tetrahedra that share corners with two SSr3Ta2 square pyramids and a cornercorner with one SSr3Ta trigonal pyramid. In the twenty-second S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to three Sr2+ and one Ta5+ atom. In the twenty-third S2- site, S2- is bonded in a distorted rectangular see-saw-

36 MATERIALS SCIENCE↗

Materials Data on Yb4Zr3O12 by Materials Project

Zr3Yb4O12 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are sixteen inequivalent Yb3+ sites. In the first Yb3+ site, Yb3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Yb–O bond distances ranging from 2.26–2.53 Å. In the second Yb3+ site, Yb3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Yb–O bond distances ranging from 2.28–2.53 Å. In the third Yb3+ site, Yb3+ is bonded to six O2- atoms to form YbO6 octahedra that share a cornercorner with one ZrO7 pentagonal bipyramid and an edgeedge with one YbO7 hexagonal pyramid. There are a spread of Yb–O bond distances ranging from 2.21–2.30 Å. In the fourth Yb3+ site, Yb3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Yb–O bond distances ranging from 2.28–2.58 Å. In the fifth Yb3+ site, Yb3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Yb–O bond distances ranging from 2.28–2.60 Å. In the sixth Yb3+ site, Yb3+ is bonded to seven O2- atoms to form distorted YbO7 pentagonal bipyramids that share a cornercorner with one ZrO6 octahedra, corners with two ZrO7 pentagonal bipyramids, an edgeedge with one ZrO6 octahedra, and edges with two ZrO7 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 54°. There are a spread of Yb–O bond distances ranging from 2.32–2.45 Å. In the seventh Yb3+ site, Yb3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Yb–O bond distances ranging from 2.27–2.59 Å. In the eighth Yb3+ site, Yb3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Yb–O bond distances ranging from 2.29–2.61 Å. In the ninth Yb3+ site, Yb3+ is bonded to seven O2- atoms to form distorted YbO7 pentagonal bipyramids that share a cornercorner with one ZrO6 octahedra, corners with two ZrO7 pentagonal bipyramids, an edgeedge with one ZrO6 octahedra, and edges with two ZrO7 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 55°. There are a spread of Yb–O bond distances ranging from 2.32–2.45 Å. In the tenth Yb3+ site, Yb3+ is bonded to seven O2- atoms to form distorted YbO7 hexagonal pyramids that share a cornercorner with one ZrO6 octahedra, an edgeedge with one YbO6 octahedra, and edges with two equivalent ZrO7 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 52°. There are a spread of Yb–O bond distances ranging from 2.29–2.47 Å. In the eleventh Yb3+ site, Yb3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Yb–O bond distances ranging from 2.29–2.60 Å. In the twelfth Yb3+ site, Yb3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Yb–O bond distances ranging from 2.29–2.54 Å. In the thirteenth Yb3+ site, Yb3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Yb–O bond distances ranging from 2.24–2.76 Å. In the fourteenth Yb3+ site, Yb3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Yb–O bond distances ranging from 2.28–2.60 Å. In the fifteenth Yb3+ site, Yb3+ is bonded to seven O2- atoms to form distorted YbO7 pentagonal bipyramids that share a cornercorner with one ZrO6 octahedra, a cornercorner with one ZrO7 pentagonal bipyramid, an edgeedge with one ZrO6 octahedra, and edges with two ZrO7 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 54°. There are a spread of Yb–O bond distances ranging from 2.28–2.49 Å. In the sixteenth Yb3+ site, Yb3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Yb–O bond distances ranging from 2.28–2.45 Å. There are twelve inequivalent Zr4+ sites. In the first Zr4+ site, Zr4+ is bonded to seven O2- atoms to form distorted ZrO7 pentagonal bipyramids that share a cornercorner with one ZrO6 octahedra, a cornercorner with one YbO7 pentagonal bipyramid, a cornercorner with one ZrO7 pentagonal bipyramid, an edgeedge with one ZrO6 octahedra, an edgeedge with one YbO7 pentagonal bipyramid, and an edgeedge with one ZrO7 pentagonal bipyramid. The corner-sharing octahedral tilt angles are 40°. There are a spread of Zr–O bond distances ranging from 2.09–2.26 Å. In the second Zr4+ site, Zr4+ is bonded to six O2- atoms to form ZrO6 octahedra that share a cornercorner with one YbO7 pentagonal bipyramid, corners with two ZrO7 pentagonal bipyramids, an edgeedge with one YbO7 pentagonal bipyramid, and edges with two ZrO7 pentagonal bipyramids. There are a spread of Zr–O bond distances ranging from 2.03–2.15 Å. In the third Zr4+ site, Zr4+ is bonded to seven O2- atoms to form distorted ZrO7 pentagonal bipyramids that share a cornercorner with one ZrO6 octahedra, a cornercorner with one YbO7 pentagonal bipyramid, a cornercorner with one ZrO7 pentagonal bipyramid, an edgeedge with one ZrO6 octahedra, an edgeedge with one YbO7 pentagonal bipyramid, and an edgeedge with one ZrO7 pentagonal bipyramid. The corner-sharing octahedral tilt angles are 40°. There are a spread of Zr–O bond distances ranging from 2.08–2.26 Å. In the fourth Zr4+ site, Zr4+ is bonded to six O2- atoms to form ZrO6 octahedra that share a cornercorner with one YbO7 hexagonal pyramid, a cornercorner with one YbO7 pentagonal bipyramid, corners with two ZrO7 pentagonal bipyramids, an edgeedge with one YbO7 pentagonal bipyramid, and edges with two ZrO7 pentagonal bipyramids. There are a spread of Zr–O bond distances ranging from 2.03–2.15 Å. In the fifth Zr4+ site, Zr4+ is bonded to seven O2- atoms to form distorted ZrO7 pentagonal bipyramids that share a cornercorner with one ZrO6 octahedra, a cornercorner with one YbO7 pentagonal bipyramid, a cornercorner with one ZrO7 pentagonal bipyramid, an edgeedge with one ZrO6 octahedra, an edgeedge with one YbO7 pentagonal bipyramid, and an edgeedge with one ZrO7 pentagonal bipyramid. The corner-sharing octahedral tilt angles are 41°. There are a spread of Zr–O bond distances ranging from 2.11–2.25 Å. In the sixth Zr4+ site, Zr4+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Zr–O bond distances ranging from 2.10–2.33 Å. In the seventh Zr4+ site, Zr4+ is bonded to seven O2- atoms to form distorted ZrO7 pentagonal bipyramids that share a cornercorner with one ZrO6 octahedra, a cornercorner with one YbO7 pentagonal bipyramid, a cornercorner with one ZrO7 pentagonal bipyramid, an edgeedge with one ZrO6 octahedra, an edgeedge with one YbO7 pentagonal bipyramid, and an edgeedge with one ZrO7 pentagonal bipyramid. The corner-sharing octahedral tilt angles are 41°. There are a spread of Zr–O bond distances ranging from 2.11–2.24 Å. In the eighth Zr4+ site, Zr4+ is bonded to seven O2- atoms to form distorted ZrO7 pentagonal bipyramids that share a cornercorner with one ZrO6 octahedra, a cornercorner with one YbO7 pentagonal bipyramid, an edgeedge with one ZrO6 octahedra, and an edgeedge with one YbO7 pentagonal bipyramid. The corner-sharing octahedral tilt angles are 38°. There are a spread of Zr–O bond distances ranging from 2.09–2.25 Å. In the ninth Zr4+ site, Zr4+ is bonded to six O2- atoms to form ZrO6 octahedra that share a cornercorner with one YbO7 pentagonal bipyramid, a cornercorner with one ZrO7 pentagonal bipyramid, an edgeedge with one YbO7 pentagonal bipyramid, and edges with two ZrO7 pentagonal bipyramids. There are a spread of Zr–O bond distances ranging from 2.01–2.20 Å. In the tenth Zr4+ site, Zr4+ is bonded to seven O2- atoms to form distorted ZrO7 pentagonal bipyramids that share a cornercorner with one YbO6 octahedra, edges with two equivalent YbO7 hexagonal pyramids, an edgeedge with one ZrO6 octahedra, and an edgeedge with one YbO7 pentagonal bipyramid. The corner-sharing octahedral tilt angles are 49°. There are a spread of Zr–O bond distances ranging from 2.11–2.24 Å. In the eleventh Zr4+ site, Zr4+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Zr–O bond distances ranging from 2.11–2.40 Å. In the twelfth Zr4+ site, Zr4+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Zr–O bond distances ranging from 2.06–2.26 Å. There are forty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded to two Yb3+ and two Zr4+ atoms to form a mixture of distorted edge and corner-sharing OYb2Zr2 tetrahedra. In the second O2- site, O2- is bonded in a 4-coordinate geometry to one Yb3+ and three Zr4+ atoms. In the third O2- site, O2- is bonded to two Yb3+ and two Zr4+ atoms to form a mixture of distorted edge and corner-sharing OYb2Zr2 tetrahedra. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to two Yb3+ and two Zr4+ atoms. In the fifth O2- site, O2- is bonded in a 4-coordinate geometry to one Yb3+ and three Zr4+ atoms. In the sixth O2- site, O2- is bonded to two Yb3+ and two Zr4+ atoms to form distorted OYb2Zr2 tetrahedra that share corners with ten OYb3Zr tetrahedra and edges with two OYb2Zr2 tetrahedra. In the seventh O2- site, O2- is bonded to two Yb3+ and two Zr4+ atoms to form OYb2Zr2 tetrahedra that share corners with six OYb3Zr tetrahedra and edges with four OYb2Zr2 tetrahedra. In the eighth O2- site, O2- is bonded in a 4-coordinate geometry to two Yb3+ and two Zr4+ atoms. In the ninth O2- site, O2- is bonded to two Yb3+ and two Zr4+ atoms to form OYb2Zr2 tetrahedra that share corners with ten OYb3Zr tetrahedra and edges with three OYb2Zr2 tetrahedra. In the tenth O2- site, O2- is bonded to two Yb3+ and two Zr4+ atoms to form a mixture of distorted edge and corner-sharing OYb2Zr2 tetrahedra. In the eleventh O2- site, O2- is bonded to two Yb3+ and two Zr4+ atoms to form distorted OYb2Zr2 tetrahedra that share corners with nine OYb3Zr tetrahedra and edges with three OYb2Zr2 tetrahedra. In the twelfth O2- site, O2- is bonded to two Yb3+ and two Zr4+ atoms to form OYb2Zr2 tetrahedra that share corners with seven OYb3Zr tetrahedra and edges with five OYb2Zr2 tetrahedra. In the thirteenth O2- site, O2- is bonded to three Yb3+ and one Zr4+ atom to form a mixture of distorted edge and corner-sharing OYb3Zr tetrahedra. In the fourteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Yb3+ and two Zr4+ atoms. In the fifteenth O2- site, O2- is bonded to two Yb3+ and two Zr4+ atoms to form a mixture of edge and corner-sharing OYb2Zr2 tetrahedra. In the sixteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Yb3+ and three Zr4+ atoms. In the seventeenth O2- site, O2- is bonded to three Yb3+ and one Zr4+ atom to form a mixture of edge and corner-sharing OYb3Zr tetrahedra. In the eighteenth O2- site, O2- is bonded to two Yb3+ and two Zr4+ atoms to form a mixture of distorted edge and corner-sharing OYb2Zr2 tetrahedra. In the nineteenth O2- site, O2- is bonded to three Yb3+ and one Zr4+ atom to form a mixture of distorted edge and corner-sharing OYb3Zr tetrahedra. In the twentieth O2- site, O2- is bonded to three Yb3+ and one Zr4+ atom to form a mixture of distorted edge and corner-sharing OYb3Zr tetrahedra. In the twenty-first O2- site, O2- is bonded in a 4-coordinate geometry to one Yb3+ and three Zr4+ atoms. In the twenty-second O2- site, O2- is bonded to two Yb3+ and two Zr4+ atoms to form a mixture of edge and corner-sharing OYb2Zr2 tetrahedra. In the twenty-third O2- site, O2- is bonded to three Yb3+ and one Zr4+ atom to form a mixture of edge and corner-sharing OYb3Zr tetrahedra. In the twenty-fourth O2- site, O2- is bonded to three Yb3+ and one Zr4+ atom to form a mixture of distorted edge and corner-sharing OYb3Zr tetrahedra. In the twenty-fifth O2- site, O2- is bonded to two Yb3+ and two Zr4+ atoms to form distorted OYb2Zr2 tetrahedra that share corners with six OYb3Zr tetrahedra and edges with four OYb2Zr2 tetrahedra. In the twenty-sixth O2- site, O2- is bonded to two Yb3+ and two Zr4+ atoms to form a mixture of edge and corner-sharing OYb2Zr2 tetrahedra. In the twenty-seventh O

36 MATERIALS SCIENCE↗

Materials Data on Sr17(Ta5S21)2 by Materials Project

Sr17Ta10S42 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are seventeen inequivalent Sr2+ sites. In the first Sr2+ site, Sr2+ is bonded to seven S2- atoms to form distorted SrS7 pentagonal bipyramids that share a cornercorner with one TaS6 octahedra, corners with three SrS7 pentagonal bipyramids, corners with two TaS4 tetrahedra, an edgeedge with one SrS7 pentagonal bipyramid, an edgeedge with one TaS4 tetrahedra, and a faceface with one TaS6 octahedra. The corner-sharing octahedral tilt angles are 17°. There are a spread of Sr–S bond distances ranging from 2.98–3.17 Å. In the second Sr2+ site, Sr2+ is bonded to seven S2- atoms to form distorted SrS7 pentagonal bipyramids that share a cornercorner with one TaS6 octahedra, corners with three SrS7 pentagonal bipyramids, corners with two TaS4 tetrahedra, an edgeedge with one TaS6 octahedra, an edgeedge with one SrS7 pentagonal bipyramid, and an edgeedge with one TaS4 tetrahedra. The corner-sharing octahedral tilt angles are 38°. There are a spread of Sr–S bond distances ranging from 3.05–3.29 Å. In the third Sr2+ site, Sr2+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Sr–S bond distances ranging from 2.95–3.37 Å. In the fourth Sr2+ site, Sr2+ is bonded in a 7-coordinate geometry to seven S2- atoms. There are a spread of Sr–S bond distances ranging from 3.01–3.21 Å. In the fifth Sr2+ site, Sr2+ is bonded to seven S2- atoms to form distorted SrS7 pentagonal bipyramids that share a cornercorner with one TaS6 octahedra, corners with three SrS7 pentagonal bipyramids, corners with two TaS4 tetrahedra, an edgeedge with one TaS6 octahedra, an edgeedge with one SrS7 pentagonal bipyramid, and an edgeedge with one TaS4 tetrahedra. The corner-sharing octahedral tilt angles are 36°. There are a spread of Sr–S bond distances ranging from 3.01–3.18 Å. In the sixth Sr2+ site, Sr2+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Sr–S bond distances ranging from 2.96–3.30 Å. In the seventh Sr2+ site, Sr2+ is bonded to seven S2- atoms to form distorted SrS7 pentagonal bipyramids that share a cornercorner with one TaS6 octahedra, corners with three SrS7 pentagonal bipyramids, corners with two TaS4 tetrahedra, an edgeedge with one SrS7 pentagonal bipyramid, an edgeedge with one TaS4 tetrahedra, and a faceface with one TaS6 octahedra. The corner-sharing octahedral tilt angles are 18°. There are a spread of Sr–S bond distances ranging from 2.99–3.14 Å. In the eighth Sr2+ site, Sr2+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Sr–S bond distances ranging from 2.98–3.28 Å. In the ninth Sr2+ site, Sr2+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Sr–S bond distances ranging from 3.00–3.36 Å. In the tenth Sr2+ site, Sr2+ is bonded to seven S2- atoms to form distorted SrS7 pentagonal bipyramids that share a cornercorner with one TaS6 octahedra, corners with three SrS7 pentagonal bipyramids, corners with two TaS4 tetrahedra, an edgeedge with one TaS6 octahedra, edges with two SrS7 pentagonal bipyramids, and an edgeedge with one TaS4 tetrahedra. The corner-sharing octahedral tilt angles are 38°. There are a spread of Sr–S bond distances ranging from 3.05–3.21 Å. In the eleventh Sr2+ site, Sr2+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Sr–S bond distances ranging from 3.00–3.38 Å. In the twelfth Sr2+ site, Sr2+ is bonded to seven S2- atoms to form distorted SrS7 pentagonal bipyramids that share a cornercorner with one TaS6 octahedra, corners with three SrS7 pentagonal bipyramids, corners with two TaS4 tetrahedra, an edgeedge with one SrS7 pentagonal bipyramid, an edgeedge with one TaS4 tetrahedra, and a faceface with one TaS6 octahedra. The corner-sharing octahedral tilt angles are 19°. There are a spread of Sr–S bond distances ranging from 3.00–3.14 Å. In the thirteenth Sr2+ site, Sr2+ is bonded to seven S2- atoms to form distorted SrS7 pentagonal bipyramids that share a cornercorner with one TaS6 octahedra, corners with three SrS7 pentagonal bipyramids, corners with two TaS4 tetrahedra, edges with two SrS7 pentagonal bipyramids, an edgeedge with one TaS4 tetrahedra, and a faceface with one TaS6 octahedra. The corner-sharing octahedral tilt angles are 18°. There are a spread of Sr–S bond distances ranging from 2.99–3.18 Å. In the fourteenth Sr2+ site, Sr2+ is bonded to seven S2- atoms to form distorted SrS7 pentagonal bipyramids that share a cornercorner with one TaS6 octahedra, corners with three SrS7 pentagonal bipyramids, corners with two TaS4 tetrahedra, an edgeedge with one TaS6 octahedra, edges with two SrS7 pentagonal bipyramids, and an edgeedge with one TaS4 tetrahedra. The corner-sharing octahedral tilt angles are 42°. There are a spread of Sr–S bond distances ranging from 3.03–3.21 Å. In the fifteenth Sr2+ site, Sr2+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Sr–S bond distances ranging from 2.98–3.49 Å. In the sixteenth Sr2+ site, Sr2+ is bonded to seven S2- atoms to form distorted SrS7 pentagonal bipyramids that share a cornercorner with one TaS6 octahedra, corners with four SrS7 pentagonal bipyramids, corners with two TaS4 tetrahedra, an edgeedge with one SrS7 pentagonal bipyramid, an edgeedge with one TaS4 tetrahedra, and a faceface with one TaS6 octahedra. The corner-sharing octahedral tilt angles are 17°. There are a spread of Sr–S bond distances ranging from 3.00–3.18 Å. In the seventeenth Sr2+ site, Sr2+ is bonded in a 7-coordinate geometry to seven S2- atoms. There are a spread of Sr–S bond distances ranging from 3.01–3.29 Å. There are ten inequivalent Ta5+ sites. In the first Ta5+ site, Ta5+ is bonded to four S2- atoms to form TaS4 tetrahedra that share corners with three SrS7 pentagonal bipyramids and edges with two SrS7 pentagonal bipyramids. There are one shorter (2.28 Å) and three longer (2.29 Å) Ta–S bond lengths. In the second Ta5+ site, Ta5+ is bonded to four S2- atoms to form TaS4 tetrahedra that share corners with three SrS7 pentagonal bipyramids and an edgeedge with one SrS7 pentagonal bipyramid. There are a spread of Ta–S bond distances ranging from 2.26–2.31 Å. In the third Ta5+ site, Ta5+ is bonded to six S2- atoms to form TaS6 octahedra that share corners with two SrS7 pentagonal bipyramids, an edgeedge with one SrS7 pentagonal bipyramid, and a faceface with one TaS6 octahedra. There are a spread of Ta–S bond distances ranging from 2.37–2.62 Å. In the fourth Ta5+ site, Ta5+ is bonded to six S2- atoms to form distorted TaS6 octahedra that share corners with three SrS7 pentagonal bipyramids, a faceface with one TaS6 octahedra, and faces with two SrS7 pentagonal bipyramids. There are a spread of Ta–S bond distances ranging from 2.31–2.74 Å. In the fifth Ta5+ site, Ta5+ is bonded to four S2- atoms to form TaS4 tetrahedra that share corners with two SrS7 pentagonal bipyramids and edges with two SrS7 pentagonal bipyramids. There are a spread of Ta–S bond distances ranging from 2.26–2.30 Å. In the sixth Ta5+ site, Ta5+ is bonded to four S2- atoms to form TaS4 tetrahedra that share corners with three SrS7 pentagonal bipyramids and an edgeedge with one SrS7 pentagonal bipyramid. There are two shorter (2.28 Å) and two longer (2.29 Å) Ta–S bond lengths. In the seventh Ta5+ site, Ta5+ is bonded to six S2- atoms to form TaS6 octahedra that share corners with three SrS7 pentagonal bipyramids, edges with three SrS7 pentagonal bipyramids, and a faceface with one TaS6 octahedra. There are a spread of Ta–S bond distances ranging from 2.34–2.67 Å. In the eighth Ta5+ site, Ta5+ is bonded to six S2- atoms to form TaS6 octahedra that share a cornercorner with one SrS7 pentagonal bipyramid, a faceface with one TaS6 octahedra, and faces with three SrS7 pentagonal bipyramids. There are a spread of Ta–S bond distances ranging from 2.36–2.61 Å. In the ninth Ta5+ site, Ta5+ is bonded to four S2- atoms to form TaS4 tetrahedra that share corners with four SrS7 pentagonal bipyramids and edges with two SrS7 pentagonal bipyramids. There are two shorter (2.28 Å) and two longer (2.29 Å) Ta–S bond lengths. In the tenth Ta5+ site, Ta5+ is bonded to four S2- atoms to form TaS4 tetrahedra that share corners with three SrS7 pentagonal bipyramids and an edgeedge with one SrS7 pentagonal bipyramid. There are one shorter (2.25 Å) and three longer (2.30 Å) Ta–S bond lengths. There are forty-two inequivalent S2- sites. In the first S2- site, S2- is bonded in a 1-coordinate geometry to four Sr2+ and one Ta5+ atom. In the second S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to three Sr2+ and one Ta5+ atom. In the third S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to three Sr2+ and one Ta5+ atom. In the fourth S2- site, S2- is bonded in a distorted trigonal non-coplanar geometry to two Sr2+ and one Ta5+ atom. In the fifth S2- site, S2- is bonded to three Sr2+ and one Ta5+ atom to form distorted SSr3Ta trigonal pyramids that share a cornercorner with one SSr3Ta2 square pyramid, corners with three SSr3Ta tetrahedra, an edgeedge with one SSr3Ta2 square pyramid, and an edgeedge with one SSr3Ta trigonal pyramid. In the sixth S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to three Sr2+ and one Ta5+ atom. In the seventh S2- site, S2- is bonded to three Sr2+ and one Ta5+ atom to form distorted SSr3Ta tetrahedra that share corners with two SSr3Ta2 square pyramids and corners with three SSr3Ta trigonal pyramids. In the eighth S2- site, S2- is bonded in a 3-coordinate geometry to two Sr2+ and one Ta5+ atom. In the ninth S2- site, S2- is bonded to three Sr2+ and one Ta5+ atom to form distorted SSr3Ta trigonal pyramids that share corners with two SSr3Ta tetrahedra, a cornercorner with one SSr4Ta trigonal bipyramid, edges with two SSr3Ta2 square pyramids, and an edgeedge with one SSr3Ta trigonal pyramid. In the tenth S2- site, S2- is bonded in a rectangular see-saw-like geometry to two Sr2+ and two Ta5+ atoms. In the eleventh S2- site, S2- is bonded in a 1-coordinate geometry to two Sr2+ and one Ta5+ atom. In the twelfth S2- site, S2- is bonded in a 3-coordinate geometry to two Sr2+ and one Ta5+ atom. In the thirteenth S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to three Sr2+ and one Ta5+ atom. In the fourteenth S2- site, S2- is bonded to three Sr2+ and two Ta5+ atoms to form SSr3Ta2 square pyramids that share corners with three SSr3Ta tetrahedra, a cornercorner with one SSr3Ta trigonal pyramid, an edgeedge with one SSr3Ta trigonal pyramid, a faceface with one SSr3Ta2 square pyramid, and a faceface with one SSr4Ta trigonal bipyramid. In the fifteenth S2- site, S2- is bonded in a 4-coordinate geometry to three Sr2+ and one Ta5+ atom. In the sixteenth S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to three Sr2+ and one Ta5+ atom. In the seventeenth S2- site, S2- is bonded to three Sr2+ and one Ta5+ atom to form distorted SSr3Ta tetrahedra that share corners with three SSr3Ta2 square pyramids, a cornercorner with one SSr4Ta trigonal bipyramid, and corners with three SSr3Ta trigonal pyramids. In the eighteenth S2- site, S2- is bonded to three Sr2+ and two Ta5+ atoms to form SSr3Ta2 square pyramids that share corners with three SSr3Ta tetrahedra, edges with two SSr3Ta trigonal pyramids, a faceface with one SSr3Ta2 square pyramid, and a faceface with one SSr4Ta trigonal bipyramid. In the nineteenth S2- site, S2- is bonded in a 4-coordinate geometry to three Sr2+ and one Ta5+ atom. In the twentieth S2- site, S2- is bonded to three Sr2+ and one Ta5+ atom to form distorted SSr3Ta trigonal pyramids that share a cornercorner with one SSr3Ta2 square pyramid, corners with three SSr3Ta tetrahedra, edges with two SSr3Ta2 square pyramids, and edges with two SSr3Ta

36 MATERIALS SCIENCE↗

Materials Data on Fe3(CuS5)2 by Materials Project

Fe3(CuS5)2 is pyrite-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twelve inequivalent Fe3+ sites. In the first Fe3+ site, Fe3+ is bonded to six S+1.20- atoms to form FeS6 octahedra that share corners with six FeS6 octahedra, corners with six CuS6 octahedra, and a cornercorner with one SFe2CuS tetrahedra. The corner-sharing octahedra tilt angles range from 60–68°. There are a spread of Fe–S bond distances ranging from 2.22–2.31 Å. In the second Fe3+ site, Fe3+ is bonded to six S+1.20- atoms to form FeS6 octahedra that share corners with six FeS6 octahedra, corners with six CuS6 octahedra, and a cornercorner with one SFe2CuS tetrahedra. The corner-sharing octahedra tilt angles range from 60–68°. There are a spread of Fe–S bond distances ranging from 2.22–2.31 Å. In the third Fe3+ site, Fe3+ is bonded to six S+1.20- atoms to form FeS6 octahedra that share corners with six FeS6 octahedra, corners with six CuS6 octahedra, and a cornercorner with one SFeCu2S tetrahedra. The corner-sharing octahedra tilt angles range from 60–68°. There are a spread of Fe–S bond distances ranging from 2.26–2.33 Å. In the fourth Fe3+ site, Fe3+ is bonded to six S+1.20- atoms to form FeS6 octahedra that share corners with six FeS6 octahedra, corners with six CuS6 octahedra, and a cornercorner with one SFe2CuS tetrahedra. The corner-sharing octahedra tilt angles range from 60–68°. There are a spread of Fe–S bond distances ranging from 2.22–2.30 Å. In the fifth Fe3+ site, Fe3+ is bonded to six S+1.20- atoms to form FeS6 octahedra that share corners with four CuS6 octahedra and corners with eight FeS6 octahedra. The corner-sharing octahedra tilt angles range from 60–67°. There are a spread of Fe–S bond distances ranging from 2.26–2.34 Å. In the sixth Fe3+ site, Fe3+ is bonded to six S+1.20- atoms to form FeS6 octahedra that share corners with six FeS6 octahedra, corners with six CuS6 octahedra, and a cornercorner with one SFe2CuS tetrahedra. The corner-sharing octahedra tilt angles range from 61–68°. There are a spread of Fe–S bond distances ranging from 2.22–2.31 Å. In the seventh Fe3+ site, Fe3+ is bonded to six S+1.20- atoms to form FeS6 octahedra that share corners with six FeS6 octahedra, corners with six CuS6 octahedra, and a cornercorner with one SFeCu2S tetrahedra. The corner-sharing octahedra tilt angles range from 60–68°. There are a spread of Fe–S bond distances ranging from 2.25–2.35 Å. In the eighth Fe3+ site, Fe3+ is bonded to six S+1.20- atoms to form FeS6 octahedra that share corners with six FeS6 octahedra, corners with six CuS6 octahedra, and a cornercorner with one SFeCu2S tetrahedra. The corner-sharing octahedra tilt angles range from 60–68°. There are a spread of Fe–S bond distances ranging from 2.25–2.35 Å. In the ninth Fe3+ site, Fe3+ is bonded to six S+1.20- atoms to form FeS6 octahedra that share corners with four CuS6 octahedra and corners with eight FeS6 octahedra. The corner-sharing octahedra tilt angles range from 60–68°. There are a spread of Fe–S bond distances ranging from 2.26–2.33 Å. In the tenth Fe3+ site, Fe3+ is bonded to six S+1.20- atoms to form FeS6 octahedra that share corners with four FeS6 octahedra, corners with eight CuS6 octahedra, and corners with two SFeCu2S tetrahedra. The corner-sharing octahedra tilt angles range from 60–68°. There are two shorter (2.25 Å) and four longer (2.28 Å) Fe–S bond lengths. In the eleventh Fe3+ site, Fe3+ is bonded to six S+1.20- atoms to form FeS6 octahedra that share corners with six FeS6 octahedra, corners with six CuS6 octahedra, and a cornercorner with one SFeCu2S tetrahedra. The corner-sharing octahedra tilt angles range from 60–68°. There are a spread of Fe–S bond distances ranging from 2.26–2.33 Å. In the twelfth Fe3+ site, Fe3+ is bonded to six S+1.20- atoms to form FeS6 octahedra that share corners with four FeS6 octahedra, corners with eight CuS6 octahedra, and a cornercorner with one SFe2CuS tetrahedra. The corner-sharing octahedra tilt angles range from 60–68°. There are a spread of Fe–S bond distances ranging from 2.22–2.32 Å. There are eight inequivalent Cu+1.50+ sites. In the first Cu+1.50+ site, Cu+1.50+ is bonded to six S+1.20- atoms to form CuS6 octahedra that share corners with two equivalent CuS6 octahedra, corners with ten FeS6 octahedra, and a cornercorner with one SFe2CuS tetrahedra. The corner-sharing octahedra tilt angles range from 64–68°. There are a spread of Cu–S bond distances ranging from 2.38–2.47 Å. In the second Cu+1.50+ site, Cu+1.50+ is bonded to six S+1.20- atoms to form CuS6 octahedra that share corners with two equivalent CuS6 octahedra, corners with ten FeS6 octahedra, and corners with two SFeCu2S tetrahedra. The corner-sharing octahedra tilt angles range from 64–69°. There are a spread of Cu–S bond distances ranging from 2.39–2.48 Å. In the third Cu+1.50+ site, Cu+1.50+ is bonded to six S+1.20- atoms to form CuS6 octahedra that share corners with four equivalent CuS6 octahedra, corners with eight FeS6 octahedra, and corners with four SFeCu2S tetrahedra. The corner-sharing octahedra tilt angles range from 64–70°. There are a spread of Cu–S bond distances ranging from 2.39–2.48 Å. In the fourth Cu+1.50+ site, Cu+1.50+ is bonded to six S+1.20- atoms to form CuS6 octahedra that share corners with four CuS6 octahedra, corners with eight FeS6 octahedra, and corners with four SFeCu2S tetrahedra. The corner-sharing octahedra tilt angles range from 64–69°. There are four shorter (2.39 Å) and two longer (2.46 Å) Cu–S bond lengths. In the fifth Cu+1.50+ site, Cu+1.50+ is bonded to six S+1.20- atoms to form CuS6 octahedra that share corners with two equivalent CuS6 octahedra, corners with ten FeS6 octahedra, and corners with two SFeCu2S tetrahedra. The corner-sharing octahedra tilt angles range from 64–69°. There are a spread of Cu–S bond distances ranging from 2.37–2.47 Å. In the sixth Cu+1.50+ site, Cu+1.50+ is bonded to six S+1.20- atoms to form CuS6 octahedra that share corners with two equivalent CuS6 octahedra, corners with ten FeS6 octahedra, and corners with two SFe2CuS tetrahedra. The corner-sharing octahedra tilt angles range from 63–69°. There are a spread of Cu–S bond distances ranging from 2.36–2.47 Å. In the seventh Cu+1.50+ site, Cu+1.50+ is bonded to six S+1.20- atoms to form CuS6 octahedra that share corners with four CuS6 octahedra, corners with eight FeS6 octahedra, and corners with three SFe2CuS tetrahedra. The corner-sharing octahedra tilt angles range from 63–69°. There are a spread of Cu–S bond distances ranging from 2.38–2.48 Å. In the eighth Cu+1.50+ site, Cu+1.50+ is bonded to six S+1.20- atoms to form CuS6 octahedra that share corners with four equivalent CuS6 octahedra, corners with eight FeS6 octahedra, and corners with four SFeCu2S tetrahedra. The corner-sharing octahedra tilt angles range from 63–70°. There are four shorter (2.39 Å) and two longer (2.46 Å) Cu–S bond lengths. There are forty inequivalent S+1.20- sites. In the first S+1.20- site, S+1.20- is bonded in a 3-coordinate geometry to two Fe3+, one Cu+1.50+, and one S+1.20- atom. The S–S bond length is 2.20 Å. In the second S+1.20- site, S+1.20- is bonded in a 4-coordinate geometry to two Fe3+, one Cu+1.50+, and one S+1.20- atom. The S–S bond length is 2.15 Å. In the third S+1.20- site, S+1.20- is bonded in a 4-coordinate geometry to two Fe3+, one Cu+1.50+, and one S+1.20- atom. The S–S bond length is 2.17 Å. In the fourth S+1.20- site, S+1.20- is bonded in a 4-coordinate geometry to two Fe3+, one Cu+1.50+, and one S+1.20- atom. The S–S bond length is 2.20 Å. In the fifth S+1.20- site, S+1.20- is bonded in a 4-coordinate geometry to two Fe3+, one Cu+1.50+, and one S+1.20- atom. The S–S bond length is 2.14 Å. In the sixth S+1.20- site, S+1.20- is bonded in a 4-coordinate geometry to three Fe3+ and one S+1.20- atom. The S–S bond length is 2.20 Å. In the seventh S+1.20- site, S+1.20- is bonded to one Fe3+, two Cu+1.50+, and one S+1.20- atom to form distorted SFeCu2S tetrahedra that share a cornercorner with one FeS6 octahedra, corners with two CuS6 octahedra, and corners with six SFeCu2S tetrahedra. The corner-sharing octahedra tilt angles range from 69–80°. The S–S bond length is 2.09 Å. In the eighth S+1.20- site, S+1.20- is bonded in a 4-coordinate geometry to two Fe3+, one Cu+1.50+, and one S+1.20- atom. The S–S bond length is 2.14 Å. In the ninth S+1.20- site, S+1.20- is bonded in a 4-coordinate geometry to two Fe3+, one Cu+1.50+, and one S+1.20- atom. The S–S bond length is 2.16 Å. In the tenth S+1.20- site, S+1.20- is bonded in a 4-coordinate geometry to two Fe3+, one Cu+1.50+, and one S+1.20- atom. The S–S bond length is 2.11 Å. In the eleventh S+1.20- site, S+1.20- is bonded in a 4-coordinate geometry to three Fe3+ and one S+1.20- atom. The S–S bond length is 2.19 Å. In the twelfth S+1.20- site, S+1.20- is bonded to two Fe3+, one Cu+1.50+, and one S+1.20- atom to form distorted SFe2CuS tetrahedra that share a cornercorner with one FeS6 octahedra, corners with two CuS6 octahedra, and corners with two SFeCu2S tetrahedra. The corner-sharing octahedra tilt angles range from 72–81°. The S–S bond length is 2.11 Å. In the thirteenth S+1.20- site, S+1.20- is bonded in a 4-coordinate geometry to one Fe3+, two Cu+1.50+, and one S+1.20- atom. The S–S bond length is 2.10 Å. In the fourteenth S+1.20- site, S+1.20- is bonded to one Fe3+, two Cu+1.50+, and one S+1.20- atom to form distorted SFeCu2S tetrahedra that share a cornercorner with one FeS6 octahedra, corners with two CuS6 octahedra, and corners with three SFeCu2S tetrahedra. The corner-sharing octahedra tilt angles range from 70–79°. The S–S bond length is 2.07 Å. In the fifteenth S+1.20- site, S+1.20- is bonded to one Fe3+, two Cu+1.50+, and one S+1.20- atom to form distorted SFeCu2S tetrahedra that share a cornercorner with one FeS6 octahedra, corners with two CuS6 octahedra, and corners with seven SFe2CuS tetrahedra. The corner-sharing octahedra tilt angles range from 69–80°. The S–S bond length is 2.08 Å. In the sixteenth S+1.20- site, S+1.20- is bonded in a 4-coordinate geometry to two Fe3+, one Cu+1.50+, and one S+1.20- atom. The S–S bond length is 2.16 Å. In the seventeenth S+1.20- site, S+1.20- is bonded to two Fe3+, one Cu+1.50+, and one S+1.20- atom to form distorted SFe2CuS tetrahedra that share a cornercorner with one FeS6 octahedra, corners with two CuS6 octahedra, and a cornercorner with one SFeCu2S tetrahedra. The corner-sharing octahedra tilt angles range from 72–81°. The S–S bond length is 2.11 Å. In the eighteenth S+1.20- site, S+1.20- is bonded in a 4-coordinate geometry to two Fe3+, one Cu+1.50+, and one S+1.20- atom. The S–S bond length is 2.15 Å. In the nineteenth S+1.20- site, S+1.20- is bonded in a 4-coordinate geometry to one Fe3+, two Cu+1.50+, and one S+1.20- atom. The S–S bond length is 2.12 Å. In the twentieth S+1.20- site, S+1.20- is bonded in a 4-coordinate geometry to one Fe3+, two Cu+1.50+, and one S+1.20- atom. The S–S bond length is 2.09 Å. In the twenty-first S+1.20- site, S+1.20- is bonded in a 4-coordinate geometry to two Fe3+, one Cu+1.50+, and one S+1.20- atom. In the twenty-second S+1.20- site, S+1.20- is bonded to one Fe3+, two Cu+1.50+, and one S+1.20- atom to form distorted SFeCu2S tetrahedra that share a cornercorner with one FeS6 octahedra, corners with two CuS6 octahedra, and corners with three SFeCu2S tetrahedra. The corner-sharing octahedra tilt angles range from 70–79°. In the twenty-third S+1.20- site, S+1.20- is bonded to two Fe3+, one Cu+1.50+, and one S+1.20- atom to form distorted SFe2CuS tetrahedra that share a cornercorner with one FeS6 octahedra, corners with two CuS6 octahedra, and corners with two SFe2CuS tetrahedra. The corner-sharing octahedra tilt angles range from 72–82°. In the twenty-fourth S+1.20- site, S+1.20- is bonded in a 4-coordinate geometry to two Fe3+, one Cu+1.50+, and one S+1.20- atom. In the tw

36 MATERIALS SCIENCE↗

Materials Data on NdAl6Si30(N15O)3 by Materials Project

NdAl6Si30(N15O)3 crystallizes in the triclinic P1 space group. The structure is three-dimensional. Nd is bonded in a 7-coordinate geometry to seven N atoms. There are a spread of Nd–N bond distances ranging from 2.37–2.70 Å. There are six inequivalent Al sites. In the first Al site, Al is bonded to three N and one O atom to form AlN3O tetrahedra that share corners with three AlN3O tetrahedra and corners with five SiN4 tetrahedra. There are a spread of Al–N bond distances ranging from 1.78–1.85 Å. The Al–O bond length is 1.90 Å. In the second Al site, Al is bonded to three N and one O atom to form AlN3O tetrahedra that share corners with two AlN3O tetrahedra and corners with six SiN4 tetrahedra. There are a spread of Al–N bond distances ranging from 1.80–1.91 Å. The Al–O bond length is 1.89 Å. In the third Al site, Al is bonded to three N and one O atom to form AlN3O tetrahedra that share corners with two AlN3O tetrahedra and corners with six SiN4 tetrahedra. There are a spread of Al–N bond distances ranging from 1.81–1.88 Å. The Al–O bond length is 1.89 Å. In the fourth Al site, Al is bonded to four N atoms to form AlN4 tetrahedra that share corners with eight SiN4 tetrahedra. There are a spread of Al–N bond distances ranging from 1.84–1.86 Å. In the fifth Al site, Al is bonded to four N atoms to form AlN4 tetrahedra that share corners with two AlN3O tetrahedra and corners with six SiN4 tetrahedra. There are a spread of Al–N bond distances ranging from 1.80–1.93 Å. In the sixth Al site, Al is bonded to four N atoms to form AlN4 tetrahedra that share a cornercorner with one AlN3O tetrahedra and corners with seven SiN4 tetrahedra. There are a spread of Al–N bond distances ranging from 1.83–1.88 Å. There are thirty inequivalent Si sites. In the first Si site, Si is bonded to three N and one O atom to form corner-sharing SiN3O tetrahedra. There is one shorter (1.71 Å) and two longer (1.73 Å) Si–N bond length. The Si–O bond length is 1.82 Å. In the second Si site, Si is bonded to three N and one O atom to form SiN3O tetrahedra that share a cornercorner with one AlN3O tetrahedra and corners with seven SiN4 tetrahedra. There are a spread of Si–N bond distances ranging from 1.72–1.74 Å. The Si–O bond length is 1.75 Å. In the third Si site, Si is bonded to three N and one O atom to form SiN3O tetrahedra that share corners with two AlN3O tetrahedra and corners with six SiN4 tetrahedra. There is two shorter (1.72 Å) and one longer (1.79 Å) Si–N bond length. The Si–O bond length is 1.72 Å. In the fourth Si site, Si is bonded to three N and one O atom to form SiN3O tetrahedra that share corners with two AlN3O tetrahedra and corners with six SiN3O tetrahedra. There is two shorter (1.70 Å) and one longer (1.73 Å) Si–N bond length. The Si–O bond length is 1.85 Å. In the fifth Si site, Si is bonded to three N and one O atom to form SiN3O tetrahedra that share corners with two AlN3O tetrahedra and corners with six SiN3O tetrahedra. There are a spread of Si–N bond distances ranging from 1.70–1.75 Å. The Si–O bond length is 1.80 Å. In the sixth Si site, Si is bonded to four N atoms to form SiN4 tetrahedra that share corners with two AlN4 tetrahedra and corners with six SiN3O tetrahedra. There is two shorter (1.71 Å) and two longer (1.78 Å) Si–N bond length. In the seventh Si site, Si is bonded to four N atoms to form SiN4 tetrahedra that share corners with three AlN3O tetrahedra and corners with five SiN3O tetrahedra. There are a spread of Si–N bond distances ranging from 1.67–1.79 Å. In the eighth Si site, Si is bonded to four N atoms to form SiN4 tetrahedra that share corners with four AlN3O tetrahedra and corners with four SiN3O tetrahedra. There are a spread of Si–N bond distances ranging from 1.67–1.83 Å. In the ninth Si site, Si is bonded to four N atoms to form SiN4 tetrahedra that share a cornercorner with one AlN4 tetrahedra and corners with seven SiN4 tetrahedra. There are a spread of Si–N bond distances ranging from 1.72–1.77 Å. In the tenth Si site, Si is bonded to four N atoms to form SiN4 tetrahedra that share a cornercorner with one AlN4 tetrahedra and corners with seven SiN4 tetrahedra. There are a spread of Si–N bond distances ranging from 1.71–1.78 Å. In the eleventh Si site, Si is bonded to four N atoms to form SiN4 tetrahedra that share corners with two AlN3O tetrahedra and corners with six SiN4 tetrahedra. There are a spread of Si–N bond distances ranging from 1.67–1.80 Å. In the twelfth Si site, Si is bonded to four N atoms to form corner-sharing SiN4 tetrahedra. There is three shorter (1.76 Å) and one longer (1.78 Å) Si–N bond length. In the thirteenth Si site, Si is bonded to four N atoms to form corner-sharing SiN4 tetrahedra. There is two shorter (1.76 Å) and two longer (1.77 Å) Si–N bond length. In the fourteenth Si site, Si is bonded to four N atoms to form SiN4 tetrahedra that share a cornercorner with one AlN3O tetrahedra and corners with seven SiN4 tetrahedra. There are a spread of Si–N bond distances ranging from 1.68–1.79 Å. In the fifteenth Si site, Si is bonded to four N atoms to form SiN4 tetrahedra that share a cornercorner with one AlN4 tetrahedra and corners with seven SiN4 tetrahedra. There are a spread of Si–N bond distances ranging from 1.71–1.77 Å. In the sixteenth Si site, Si is bonded to four N atoms to form SiN4 tetrahedra that share a cornercorner with one AlN4 tetrahedra and corners with seven SiN4 tetrahedra. There are a spread of Si–N bond distances ranging from 1.69–1.81 Å. In the seventeenth Si site, Si is bonded to four N atoms to form SiN4 tetrahedra that share a cornercorner with one AlN4 tetrahedra and corners with seven SiN4 tetrahedra. There are a spread of Si–N bond distances ranging from 1.70–1.79 Å. In the eighteenth Si site, Si is bonded to four N atoms to form corner-sharing SiN4 tetrahedra. There are a spread of Si–N bond distances ranging from 1.75–1.77 Å. In the nineteenth Si site, Si is bonded to four N atoms to form SiN4 tetrahedra that share a cornercorner with one AlN3O tetrahedra and corners with seven SiN4 tetrahedra. There are a spread of Si–N bond distances ranging from 1.72–1.84 Å. In the twentieth Si site, Si is bonded to four N atoms to form SiN4 tetrahedra that share a cornercorner with one AlN3O tetrahedra and corners with seven SiN4 tetrahedra. There are a spread of Si–N bond distances ranging from 1.75–1.80 Å. In the twenty-first Si site, Si is bonded to four N atoms to form corner-sharing SiN4 tetrahedra. There is one shorter (1.75 Å) and three longer (1.76 Å) Si–N bond length. In the twenty-second Si site, Si is bonded to four N atoms to form corner-sharing SiN4 tetrahedra. All Si–N bond lengths are 1.76 Å. In the twenty-third Si site, Si is bonded to four N atoms to form corner-sharing SiN4 tetrahedra. There are a spread of Si–N bond distances ranging from 1.75–1.81 Å. In the twenty-fourth Si site, Si is bonded to four N atoms to form SiN4 tetrahedra that share a cornercorner with one AlN4 tetrahedra and corners with seven SiN3O tetrahedra. There are a spread of Si–N bond distances ranging from 1.71–1.77 Å. In the twenty-fifth Si site, Si is bonded to four N atoms to form SiN4 tetrahedra that share corners with two AlN3O tetrahedra and corners with six SiN3O tetrahedra. There are a spread of Si–N bond distances ranging from 1.70–1.81 Å. In the twenty-sixth Si site, Si is bonded to four N atoms to form SiN4 tetrahedra that share corners with three AlN3O tetrahedra and corners with five SiN4 tetrahedra. There are a spread of Si–N bond distances ranging from 1.70–1.80 Å. In the twenty-seventh Si site, Si is bonded to four N atoms to form SiN4 tetrahedra that share a cornercorner with one AlN4 tetrahedra and corners with seven SiN3O tetrahedra. There are a spread of Si–N bond distances ranging from 1.72–1.77 Å. In the twenty-eighth Si site, Si is bonded to four N atoms to form SiN4 tetrahedra that share corners with two AlN3O tetrahedra and corners with six SiN3O tetrahedra. There are a spread of Si–N bond distances ranging from 1.72–1.79 Å. In the twenty-ninth Si site, Si is bonded to four N atoms to form SiN4 tetrahedra that share corners with two AlN3O tetrahedra and corners with six SiN3O tetrahedra. There are a spread of Si–N bond distances ranging from 1.70–1.81 Å. In the thirtieth Si site, Si is bonded to three N and one O atom to form SiN3O tetrahedra that share a cornercorner with one AlN4 tetrahedra and corners with seven SiN4 tetrahedra. There are a spread of Si–N bond distances ranging from 1.70–1.75 Å. The Si–O bond length is 1.82 Å. There are forty-five inequivalent N sites. In the first N site, N is bonded in a trigonal planar geometry to three Si atoms. In the second N site, N is bonded in a trigonal planar geometry to three Si atoms. In the third N site, N is bonded in a distorted trigonal planar geometry to one Nd and three Si atoms. In the fourth N site, N is bonded in a trigonal planar geometry to one Al and two Si atoms. In the fifth N site, N is bonded in a trigonal planar geometry to one Al and two Si atoms. In the sixth N site, N is bonded in a 4-coordinate geometry to one Nd, two Al, and one Si atom. In the seventh N site, N is bonded in a trigonal planar geometry to three Si atoms. In the eighth N site, N is bonded in a trigonal planar geometry to three Si atoms. In the ninth N site, N is bonded in a trigonal non-coplanar geometry to one Al and two Si atoms. In the tenth N site, N is bonded in a trigonal planar geometry to one Al and two Si atoms. In the eleventh N site, N is bonded in a trigonal planar geometry to one Al and two Si atoms. In the twelfth N site, N is bonded in a trigonal planar geometry to three Si atoms. In the thirteenth N site, N is bonded in a trigonal planar geometry to one Al and two Si atoms. In the fourteenth N site, N is bonded in a trigonal planar geometry to three Si atoms. In the fifteenth N site, N is bonded in a trigonal planar geometry to three Si atoms. In the sixteenth N site, N is bonded in a trigonal planar geometry to three Si atoms. In the seventeenth N site, N is bonded in a trigonal planar geometry to three Si atoms. In the eighteenth N site, N is bonded in a trigonal planar geometry to three Si atoms. In the nineteenth N site, N is bonded in a trigonal planar geometry to three Si atoms. In the twentieth N site, N is bonded in a trigonal planar geometry to three Si atoms. In the twenty-first N site, N is bonded in a 4-coordinate geometry to one Nd and three Si atoms. In the twenty-second N site, N is bonded in a trigonal planar geometry to three Si atoms. In the twenty-third N site, N is bonded in a trigonal planar geometry to three Si atoms. In the twenty-fourth N site, N is bonded in a trigonal planar geometry to three Si atoms. In the twenty-fifth N site, N is bonded in a trigonal planar geometry to three Si atoms. In the twenty-sixth N site, N is bonded in a trigonal planar geometry to three Si atoms. In the twenty-seventh N site, N is bonded in a trigonal planar geometry to three Si atoms. In the twenty-eighth N site, N is bonded in a distorted trigonal planar geometry to one Nd and three Si atoms. In the twenty-ninth N site, N is bonded in a trigonal planar geometry to three Si atoms. In the thirtieth N site, N is bonded in a trigonal planar geometry to three Si atoms. In the thirty-first N site, N is bonded in a trigonal planar geometry to three Si atoms. In the thirty-second N site, N is bonded in a trigonal planar geometry to three Si atoms. In the thirty-third N site, N is bonded in a trigonal planar geometry to three Si atoms. In the thirty-fourth N site, N is bonded in a trigonal planar geometry to one Al and two Si atoms. In the thirty-fifth N site, N is bonded to one Nd, one Al, and two Si atoms to form NNdAlSi2 tetrahedra that share a cornercorner with one NNdAl2Si tetrahedra and a cornercorner with one NNdAlSi2 trigonal pyramid. In the thirty-sixth N site, N is bonded to one Nd, one Al, and two Si atoms to form dist

36 MATERIALS SCIENCE↗

Materials Data on YAl3(Si5N8)3 by Materials Project

YAl3(Si5N8)3 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are two inequivalent Y3+ sites. In the first Y3+ site, Y3+ is bonded in a 7-coordinate geometry to seven N3- atoms. There are a spread of Y–N bond distances ranging from 2.30–2.66 Å. In the second Y3+ site, Y3+ is bonded in a 7-coordinate geometry to seven N3- atoms. There are a spread of Y–N bond distances ranging from 2.33–2.70 Å. There are six inequivalent Al3+ sites. In the first Al3+ site, Al3+ is bonded to four N3- atoms to form AlN4 tetrahedra that share corners with eight SiN4 tetrahedra. There are a spread of Al–N bond distances ranging from 1.80–1.90 Å. In the second Al3+ site, Al3+ is bonded to four N3- atoms to form AlN4 tetrahedra that share corners with eight SiN4 tetrahedra. There are a spread of Al–N bond distances ranging from 1.81–1.90 Å. In the third Al3+ site, Al3+ is bonded to four N3- atoms to form AlN4 tetrahedra that share a cornercorner with one AlN4 tetrahedra and corners with seven SiN4 tetrahedra. There are a spread of Al–N bond distances ranging from 1.85–1.94 Å. In the fourth Al3+ site, Al3+ is bonded to four N3- atoms to form AlN4 tetrahedra that share corners with eight SiN4 tetrahedra. There are a spread of Al–N bond distances ranging from 1.82–1.86 Å. In the fifth Al3+ site, Al3+ is bonded to four N3- atoms to form AlN4 tetrahedra that share corners with eight SiN4 tetrahedra. There are a spread of Al–N bond distances ranging from 1.83–1.90 Å. In the sixth Al3+ site, Al3+ is bonded to four N3- atoms to form AlN4 tetrahedra that share a cornercorner with one AlN4 tetrahedra and corners with seven SiN4 tetrahedra. There are a spread of Al–N bond distances ranging from 1.84–1.86 Å. There are thirty inequivalent Si4+ sites. In the first Si4+ site, Si4+ is bonded to four N3- atoms to form corner-sharing SiN4 tetrahedra. There is one shorter (1.74 Å) and three longer (1.75 Å) Si–N bond length. In the second Si4+ site, Si4+ is bonded to four N3- atoms to form SiN4 tetrahedra that share a cornercorner with one AlN4 tetrahedra and corners with seven SiN4 tetrahedra. There are a spread of Si–N bond distances ranging from 1.70–1.81 Å. In the third Si4+ site, Si4+ is bonded to four N3- atoms to form corner-sharing SiN4 tetrahedra. There are a spread of Si–N bond distances ranging from 1.73–1.80 Å. In the fourth Si4+ site, Si4+ is bonded to four N3- atoms to form SiN4 tetrahedra that share a cornercorner with one AlN4 tetrahedra and corners with seven SiN4 tetrahedra. There are a spread of Si–N bond distances ranging from 1.72–1.78 Å. In the fifth Si4+ site, Si4+ is bonded to four N3- atoms to form SiN4 tetrahedra that share corners with three AlN4 tetrahedra and corners with five SiN4 tetrahedra. There are a spread of Si–N bond distances ranging from 1.68–1.79 Å. In the sixth Si4+ site, Si4+ is bonded to four N3- atoms to form SiN4 tetrahedra that share corners with three AlN4 tetrahedra and corners with five SiN4 tetrahedra. There are a spread of Si–N bond distances ranging from 1.69–1.78 Å. In the seventh Si4+ site, Si4+ is bonded to four N3- atoms to form SiN4 tetrahedra that share a cornercorner with one AlN4 tetrahedra and corners with seven SiN4 tetrahedra. There are a spread of Si–N bond distances ranging from 1.71–1.78 Å. In the eighth Si4+ site, Si4+ is bonded to four N3- atoms to form SiN4 tetrahedra that share corners with two AlN4 tetrahedra and corners with six SiN4 tetrahedra. There are a spread of Si–N bond distances ranging from 1.68–1.79 Å. In the ninth Si4+ site, Si4+ is bonded to four N3- atoms to form SiN4 tetrahedra that share corners with two AlN4 tetrahedra and corners with six SiN4 tetrahedra. There are a spread of Si–N bond distances ranging from 1.69–1.82 Å. In the tenth Si4+ site, Si4+ is bonded to four N3- atoms to form corner-sharing SiN4 tetrahedra. There is one shorter (1.75 Å) and three longer (1.76 Å) Si–N bond length. In the eleventh Si4+ site, Si4+ is bonded to four N3- atoms to form SiN4 tetrahedra that share corners with two AlN4 tetrahedra and corners with six SiN4 tetrahedra. There are a spread of Si–N bond distances ranging from 1.75–1.78 Å. In the twelfth Si4+ site, Si4+ is bonded to four N3- atoms to form SiN4 tetrahedra that share a cornercorner with one AlN4 tetrahedra and corners with seven SiN4 tetrahedra. There are a spread of Si–N bond distances ranging from 1.75–1.80 Å. In the thirteenth Si4+ site, Si4+ is bonded to four N3- atoms to form SiN4 tetrahedra that share a cornercorner with one AlN4 tetrahedra and corners with seven SiN4 tetrahedra. There are a spread of Si–N bond distances ranging from 1.71–1.78 Å. In the fourteenth Si4+ site, Si4+ is bonded to four N3- atoms to form SiN4 tetrahedra that share corners with two AlN4 tetrahedra and corners with six SiN4 tetrahedra. There are a spread of Si–N bond distances ranging from 1.70–1.79 Å. In the fifteenth Si4+ site, Si4+ is bonded to four N3- atoms to form SiN4 tetrahedra that share corners with two AlN4 tetrahedra and corners with six SiN4 tetrahedra. There are a spread of Si–N bond distances ranging from 1.70–1.81 Å. In the sixteenth Si4+ site, Si4+ is bonded to four N3- atoms to form corner-sharing SiN4 tetrahedra. There are a spread of Si–N bond distances ranging from 1.75–1.77 Å. In the seventeenth Si4+ site, Si4+ is bonded to four N3- atoms to form SiN4 tetrahedra that share corners with two AlN4 tetrahedra and corners with six SiN4 tetrahedra. There is two shorter (1.71 Å) and two longer (1.77 Å) Si–N bond length. In the eighteenth Si4+ site, Si4+ is bonded to four N3- atoms to form SiN4 tetrahedra that share corners with three AlN4 tetrahedra and corners with five SiN4 tetrahedra. There are a spread of Si–N bond distances ranging from 1.71–1.77 Å. In the nineteenth Si4+ site, Si4+ is bonded to four N3- atoms to form SiN4 tetrahedra that share corners with three AlN4 tetrahedra and corners with five SiN4 tetrahedra. There are a spread of Si–N bond distances ranging from 1.69–1.78 Å. In the twentieth Si4+ site, Si4+ is bonded to four N3- atoms to form SiN4 tetrahedra that share a cornercorner with one AlN4 tetrahedra and corners with seven SiN4 tetrahedra. There are a spread of Si–N bond distances ranging from 1.74–1.82 Å. In the twenty-first Si4+ site, Si4+ is bonded to four N3- atoms to form SiN4 tetrahedra that share a cornercorner with one AlN4 tetrahedra and corners with seven SiN4 tetrahedra. There are a spread of Si–N bond distances ranging from 1.73–1.78 Å. In the twenty-second Si4+ site, Si4+ is bonded to four N3- atoms to form SiN4 tetrahedra that share corners with three AlN4 tetrahedra and corners with five SiN4 tetrahedra. There are a spread of Si–N bond distances ranging from 1.73–1.78 Å. In the twenty-third Si4+ site, Si4+ is bonded to four N3- atoms to form SiN4 tetrahedra that share a cornercorner with one AlN4 tetrahedra and corners with seven SiN4 tetrahedra. There are a spread of Si–N bond distances ranging from 1.71–1.83 Å. In the twenty-fourth Si4+ site, Si4+ is bonded to four N3- atoms to form SiN4 tetrahedra that share a cornercorner with one AlN4 tetrahedra and corners with seven SiN4 tetrahedra. There are a spread of Si–N bond distances ranging from 1.72–1.83 Å. In the twenty-fifth Si4+ site, Si4+ is bonded to four N3- atoms to form SiN4 tetrahedra that share corners with two AlN4 tetrahedra and corners with six SiN4 tetrahedra. There are a spread of Si–N bond distances ranging from 1.72–1.80 Å. In the twenty-sixth Si4+ site, Si4+ is bonded to four N3- atoms to form SiN4 tetrahedra that share a cornercorner with one AlN4 tetrahedra and corners with seven SiN4 tetrahedra. There are a spread of Si–N bond distances ranging from 1.71–1.78 Å. In the twenty-seventh Si4+ site, Si4+ is bonded to four N3- atoms to form SiN4 tetrahedra that share corners with three AlN4 tetrahedra and corners with five SiN4 tetrahedra. There are a spread of Si–N bond distances ranging from 1.70–1.80 Å. In the twenty-eighth Si4+ site, Si4+ is bonded to four N3- atoms to form SiN4 tetrahedra that share corners with two AlN4 tetrahedra and corners with six SiN4 tetrahedra. There are a spread of Si–N bond distances ranging from 1.70–1.80 Å. In the twenty-ninth Si4+ site, Si4+ is bonded to four N3- atoms to form SiN4 tetrahedra that share a cornercorner with one AlN4 tetrahedra and corners with seven SiN4 tetrahedra. There are a spread of Si–N bond distances ranging from 1.70–1.83 Å. In the thirtieth Si4+ site, Si4+ is bonded to four N3- atoms to form SiN4 tetrahedra that share a cornercorner with one AlN4 tetrahedra and corners with seven SiN4 tetrahedra. There are a spread of Si–N bond distances ranging from 1.75–1.77 Å. There are forty-eight inequivalent N3- sites. In the first N3- site, N3- is bonded in a trigonal planar geometry to three Si4+ atoms. In the second N3- site, N3- is bonded in a 3-coordinate geometry to one Y3+ and three Si4+ atoms. In the third N3- site, N3- is bonded in a 3-coordinate geometry to one Y3+ and three Si4+ atoms. In the fourth N3- site, N3- is bonded in a trigonal planar geometry to three Si4+ atoms. In the fifth N3- site, N3- is bonded in a trigonal planar geometry to one Al3+ and two Si4+ atoms. In the sixth N3- site, N3- is bonded in a trigonal planar geometry to three Si4+ atoms. In the seventh N3- site, N3- is bonded in a trigonal planar geometry to three Si4+ atoms. In the eighth N3- site, N3- is bonded in a trigonal planar geometry to three Si4+ atoms. In the ninth N3- site, N3- is bonded in a trigonal planar geometry to three Si4+ atoms. In the tenth N3- site, N3- is bonded in a trigonal planar geometry to three Si4+ atoms. In the eleventh N3- site, N3- is bonded in a trigonal planar geometry to one Al3+ and two Si4+ atoms. In the twelfth N3- site, N3- is bonded in a trigonal planar geometry to three Si4+ atoms. In the thirteenth N3- site, N3- is bonded in a trigonal planar geometry to one Al3+ and two Si4+ atoms. In the fourteenth N3- site, N3- is bonded in a trigonal planar geometry to three Si4+ atoms. In the fifteenth N3- site, N3- is bonded in a trigonal planar geometry to three Si4+ atoms. In the sixteenth N3- site, N3- is bonded in a trigonal planar geometry to one Al3+ and two Si4+ atoms. In the seventeenth N3- site, N3- is bonded in a trigonal non-coplanar geometry to one Al3+ and two Si4+ atoms. In the eighteenth N3- site, N3- is bonded in a trigonal non-coplanar geometry to one Al3+ and two Si4+ atoms. In the nineteenth N3- site, N3- is bonded in a trigonal planar geometry to three Si4+ atoms. In the twentieth N3- site, N3- is bonded in a 3-coordinate geometry to one Y3+, one Al3+, and two Si4+ atoms. In the twenty-first N3- site, N3- is bonded in a 3-coordinate geometry to one Y3+, one Al3+, and two Si4+ atoms. In the twenty-second N3- site, N3- is bonded in a trigonal planar geometry to three Si4+ atoms. In the twenty-third N3- site, N3- is bonded in a trigonal planar geometry to three Si4+ atoms. In the twenty-fourth N3- site, N3- is bonded in a trigonal planar geometry to three Si4+ atoms. In the twenty-fifth N3- site, N3- is bonded in a trigonal planar geometry to one Al3+ and two Si4+ atoms. In the twenty-sixth N3- site, N3- is bonded in a distorted trigonal planar geometry to one Y3+, one Al3+, and two Si4+ atoms. In the twenty-seventh N3- site, N3- is bonded in a distorted trigonal planar geometry to one Y3+, one Al3+, and two Si4+ atoms. In the twenty-eighth N3- site, N3- is bonded in a trigonal planar geometry to three Si4+ atoms. In the twenty-ninth N3- site, N3- is bonded in a trigonal planar geometry to one Al3+ and two Si4+ atoms. In the thirtieth N3- site, N3- is bonded in a trigonal planar geometry to one Al3+ and two Si4+ atoms. In the thirty-first N3- site, N3- is bonded in a trigonal planar geometry to three Si4+ atoms. In the thirty-second N3- site, N3- is bonded to one Y3+, one Al3+, and two Si4+ atoms to form distorted NYAlSi2 trigonal pyramids that share a cor

36 MATERIALS SCIENCE↗

Materials Data on NaCa9Ti9Nb(SiO5)10 by Materials Project

NaCa9Ti9Nb(SiO5)10 crystallizes in the triclinic P1 space group. The structure is three-dimensional. Na1+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Na–O bond distances ranging from 2.29–2.84 Å. There are nine inequivalent Ca2+ sites. In the first Ca2+ site, Ca2+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Ca–O bond distances ranging from 2.28–2.61 Å. In the second Ca2+ site, Ca2+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Ca–O bond distances ranging from 2.28–2.63 Å. In the third Ca2+ site, Ca2+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Ca–O bond distances ranging from 2.28–2.63 Å. In the fourth Ca2+ site, Ca2+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Ca–O bond distances ranging from 2.28–2.63 Å. In the fifth Ca2+ site, Ca2+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Ca–O bond distances ranging from 2.26–2.73 Å. In the sixth Ca2+ site, Ca2+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Ca–O bond distances ranging from 2.28–2.65 Å. In the seventh Ca2+ site, Ca2+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Ca–O bond distances ranging from 2.27–2.64 Å. In the eighth Ca2+ site, Ca2+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Ca–O bond distances ranging from 2.28–2.63 Å. In the ninth Ca2+ site, Ca2+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Ca–O bond distances ranging from 2.28–2.63 Å. There are nine inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one TiO6 octahedra, a cornercorner with one NbO6 octahedra, and corners with four SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 37–39°. There are a spread of Ti–O bond distances ranging from 1.89–2.08 Å. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one TiO6 octahedra, a cornercorner with one NbO6 octahedra, and corners with four SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 36–39°. There are a spread of Ti–O bond distances ranging from 1.83–2.08 Å. In the third Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two TiO6 octahedra and corners with four SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 37°. There are a spread of Ti–O bond distances ranging from 1.84–2.05 Å. In the fourth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two TiO6 octahedra and corners with four SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 37–39°. There are a spread of Ti–O bond distances ranging from 1.84–2.05 Å. In the fifth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two TiO6 octahedra and corners with four SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 37°. There are a spread of Ti–O bond distances ranging from 1.85–2.04 Å. In the sixth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two TiO6 octahedra and corners with four SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 37°. There are a spread of Ti–O bond distances ranging from 1.85–2.04 Å. In the seventh Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two TiO6 octahedra and corners with four SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 37°. There are a spread of Ti–O bond distances ranging from 1.85–2.05 Å. In the eighth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two TiO6 octahedra and corners with four SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 37°. There are a spread of Ti–O bond distances ranging from 1.85–2.04 Å. In the ninth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two TiO6 octahedra and corners with four SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 37°. There are a spread of Ti–O bond distances ranging from 1.87–2.05 Å. Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with two TiO6 octahedra and corners with four SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 36–39°. There are a spread of Nb–O bond distances ranging from 1.88–2.08 Å. There are ten 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 NbO6 octahedra and corners with three TiO6 octahedra. The corner-sharing octahedra tilt angles range from 35–54°. There are a spread of Si–O bond distances ranging from 1.64–1.66 Å. In the second Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one NbO6 octahedra and corners with three TiO6 octahedra. The corner-sharing octahedra tilt angles range from 37–53°. There is three shorter (1.65 Å) and one longer (1.66 Å) Si–O bond length. In the third Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one NbO6 octahedra and corners with three TiO6 octahedra. The corner-sharing octahedra tilt angles range from 37–53°. There are a spread of Si–O bond distances ranging from 1.64–1.66 Å. In the fourth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 36–53°. There is two shorter (1.65 Å) and two longer (1.66 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 NbO6 octahedra and corners with three TiO6 octahedra. The corner-sharing octahedra tilt angles range from 34–51°. There is three shorter (1.65 Å) and one longer (1.66 Å) Si–O bond length. In the sixth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 36–53°. There is two shorter (1.65 Å) and two longer (1.66 Å) Si–O bond length. In the seventh Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 36–53°. There is two shorter (1.65 Å) and two longer (1.66 Å) Si–O bond length. In the eighth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 36–53°. There is two shorter (1.65 Å) and two longer (1.66 Å) Si–O bond length. In the ninth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 36–53°. There is two shorter (1.65 Å) and two longer (1.66 Å) Si–O bond length. In the tenth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 36–53°. There is two shorter (1.65 Å) and two longer (1.66 Å) Si–O bond length. There are fifty inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Ti4+, and one Si4+ atom. In the second O2- site, O2- is bonded in a 3-coordinate geometry to one Ca2+ and two Ti4+ atoms. In the third O2- site, O2- is bonded in a 3-coordinate geometry to one Ca2+, one Ti4+, and one Si4+ atom. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Ca2+, one Ti4+, and one Si4+ atom. In the fifth O2- site, O2- is bonded in a 4-coordinate geometry to one Na1+, one Ca2+, one Nb5+, and one Si4+ atom. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to one Na1+, one Ca2+, one Ti4+, and one Si4+ atom. In the seventh O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Ti4+, and one Nb5+ atom. In the eighth O2- site, O2- is bonded in a 3-coordinate geometry to one Ca2+, one Ti4+, and one Si4+ atom. In the ninth O2- site, O2- is bonded in a 3-coordinate geometry to one Ca2+, one Nb5+, and one Si4+ atom. In the tenth O2- site, O2- is bonded in a 4-coordinate geometry to two Ca2+, one Ti4+, and one Si4+ atom. In the eleventh O2- site, O2- is bonded in a 4-coordinate geometry to two Ca2+, one Ti4+, and one Si4+ atom. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to two Ca2+, one Ti4+, and one Si4+ atom. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Ca2+, one Ti4+, and one Si4+ atom. In the fourteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Nb5+, and one Si4+ atom. In the fifteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Ca2+ and two Ti4+ atoms. In the sixteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Ca2+, one Ti4+, and one Si4+ atom. In the seventeenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Ca2+, one Ti4+, and one Nb5+ atom. In the eighteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Ca2+, one Ti4+, and one Si4+ atom. In the nineteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Na1+, one Ca2+, one Ti4+, and one Si4+ atom. In the twentieth O2- site, O2- is bonded in a 4-coordinate geometry to two Ca2+, one Ti4+, and one Si4+ atom. In the twenty-first O2- site, O2- is bonded in a 4-coordinate geometry to one Na1+, one Ca2+, one Nb5+, and one Si4+ atom. In the twenty-second O2- site, O2- is bonded in a 4-coordinate geometry to two Ca2+, one Ti4+, and one Si4+ atom. In the twenty-third O2- site, O2- is bonded in a 3-coordinate geometry to one Ca2+, one Ti4+, and one Si4+ atom. In the twenty-fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Ca2+ and two Ti4+ atoms. In the twenty-fifth O2- site, O2- is bonded in a 3-coordinate geometry to one Ca2+, one Ti4+, and one Si4+ atom. In the twenty-sixth O2- site, O2- is bonded in a 3-coordinate geometry to one Ca2+, one Ti4+, and one Si4+ atom. In the twenty-seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to one Ca2+ and two Ti4+ atoms. In the twenty-eighth O2- site, O2- is bonded in a 3-coordinate geometry to one Ca2+, one Ti4+, and one Si4+ atom. In the twenty-ninth O2- site, O2- is bonded in a 4-coordinate geometry to two Ca2+, one Ti4+, and one Si4+ atom. In the thirtieth O2- site, O2- is bonded in a 4-coordinate geometry to two Ca2+, one Ti4+, and one Si4+ atom. In the thirty-first O2- site, O2- is bonded in a 4-coordinate geometry to two Ca2+, one Ti4+, and one Si4+ atom. In the thirty-second O2- site, O2- is bonded in a 4-coordinate geometry to two Ca2+, one Ti4+, and one Si4+ atom. In the thirty-third O2- site, O2- is bonded in a 3-coordinate geometry to one Ca2+, one Ti4+, and one Si4+ atom. In the thirty-fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Ca2+ and two Ti4+ atoms. In the thirty-fifth O2- site, O2- is bonded in a 3-coordinate geometry to one Ca2+, one Ti4+, and one Si4+ atom. In the thirty-sixth O2- site, O2- is bonded in a 3-coordinate geometry to one Ca2+ and two Ti4+ atoms. In the thirty-seventh O2- site, O2- is bonded in a 3-coordinate geometry to one Ca2+, one Ti4+, and one Si4+ atom. In the thirty-eighth O2- site, O2- is bonded in a 4-coordinate geometry to two Ca2+, one Ti4+, and one Si4+ atom. In the thirty-ninth O2- site, O2- is bonded in a 4-coordinate geometry to two Ca2+, one Ti4+, and one Si4+ atom. In the fortieth O2- site, O2- is bonded in a 4-coordinate geometry to two Ca2+, one Ti4+, and one Si4+ atom. In the forty-first O2- site, O2- is bonded in a 4-coordinate geometry to two Ca2+, one Ti4+, and one Si4

36 MATERIALS SCIENCE↗

Materials Data on CaMg2TiAl2SiO10 by Materials Project

CaMg2TiAl2SiO10 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are four inequivalent Ca2+ sites. In the first Ca2+ site, Ca2+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Ca–O bond distances ranging from 2.37–2.68 Å. In the second Ca2+ site, Ca2+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Ca–O bond distances ranging from 2.38–2.64 Å. In the third Ca2+ site, Ca2+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Ca–O bond distances ranging from 2.27–2.76 Å. In the fourth Ca2+ site, Ca2+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Ca–O bond distances ranging from 2.25–2.77 Å. There are eight inequivalent Mg2+ sites. In the first Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with two SiO4 tetrahedra, corners with four AlO4 tetrahedra, edges with two TiO6 octahedra, and edges with three MgO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.06–2.16 Å. In the second Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share a cornercorner with one MgO6 octahedra, a cornercorner with one TiO6 octahedra, corners with two AlO4 tetrahedra, corners with two SiO4 tetrahedra, edges with two TiO6 octahedra, and edges with four MgO6 octahedra. The corner-sharing octahedra tilt angles range from 19–20°. There are a spread of Mg–O bond distances ranging from 2.06–2.30 Å. In the third Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with two AlO4 tetrahedra, corners with two SiO4 tetrahedra, edges with two MgO6 octahedra, and edges with three TiO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.07–2.16 Å. In the fourth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with two MgO6 octahedra, a cornercorner with one SiO4 tetrahedra, corners with three AlO4 tetrahedra, edges with two MgO6 octahedra, and edges with two TiO6 octahedra. The corner-sharing octahedra tilt angles range from 17–19°. There are a spread of Mg–O bond distances ranging from 2.01–2.18 Å. In the fifth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with two SiO4 tetrahedra, corners with three AlO4 tetrahedra, edges with two TiO6 octahedra, and edges with three MgO6 octahedra. There are a spread of Mg–O bond distances ranging from 1.97–2.19 Å. In the sixth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with two SiO4 tetrahedra, corners with three AlO4 tetrahedra, an edgeedge with one TiO6 octahedra, and edges with four MgO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.00–2.28 Å. In the seventh Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share a cornercorner with one MgO6 octahedra, a cornercorner with one TiO6 octahedra, corners with two AlO4 tetrahedra, corners with two SiO4 tetrahedra, edges with two TiO6 octahedra, and edges with four MgO6 octahedra. The corner-sharing octahedra tilt angles range from 15–17°. There are a spread of Mg–O bond distances ranging from 2.09–2.28 Å. In the eighth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with two SiO4 tetrahedra, corners with four AlO4 tetrahedra, an edgeedge with one TiO6 octahedra, and edges with four MgO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.02–2.22 Å. There are four inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with five AlO4 tetrahedra and edges with five MgO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.91–2.09 Å. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with five AlO4 tetrahedra, an edgeedge with one TiO6 octahedra, and edges with four MgO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.88–2.08 Å. In the third Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with four AlO4 tetrahedra, an edgeedge with one TiO6 octahedra, and edges with four MgO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.81–2.24 Å. In the fourth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two MgO6 octahedra, a cornercorner with one SiO4 tetrahedra, corners with three AlO4 tetrahedra, edges with two MgO6 octahedra, and edges with two TiO6 octahedra. The corner-sharing octahedra tilt angles range from 15–20°. There are a spread of Ti–O bond distances ranging from 1.88–2.13 Å. There are eight inequivalent Al3+ sites. In the first Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with two MgO6 octahedra, corners with four TiO6 octahedra, and a cornercorner with one SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 46–64°. There are a spread of Al–O bond distances ranging from 1.77–1.84 Å. In the second Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with three MgO6 octahedra, corners with three TiO6 octahedra, and a cornercorner with one SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 43–64°. There are a spread of Al–O bond distances ranging from 1.78–1.81 Å. In the third Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with two TiO6 octahedra, corners with three MgO6 octahedra, and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 44–64°. There are a spread of Al–O bond distances ranging from 1.76–1.78 Å. In the fourth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share a cornercorner with one TiO6 octahedra, corners with two MgO6 octahedra, a cornercorner with one AlO4 tetrahedra, and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 58–68°. There are a spread of Al–O bond distances ranging from 1.73–1.80 Å. In the fifth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with two MgO6 octahedra, corners with three TiO6 octahedra, and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 52–69°. There are a spread of Al–O bond distances ranging from 1.75–1.80 Å. In the sixth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share a cornercorner with one TiO6 octahedra, corners with two MgO6 octahedra, a cornercorner with one AlO4 tetrahedra, and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 60–64°. There are a spread of Al–O bond distances ranging from 1.72–1.79 Å. In the seventh Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share a cornercorner with one TiO6 octahedra, corners with five MgO6 octahedra, and a cornercorner with one AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–63°. There are a spread of Al–O bond distances ranging from 1.75–1.89 Å. In the eighth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with two TiO6 octahedra, corners with four MgO6 octahedra, and a cornercorner with one AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 49–64°. There are a spread of Al–O bond distances ranging from 1.73–1.87 Å. There are four inequivalent Si4+ sites. In the first Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with three MgO6 octahedra and corners with three AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 57–65°. There are a spread of Si–O bond distances ranging from 1.63–1.66 Å. In the second Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one TiO6 octahedra, corners with four MgO6 octahedra, and corners with two AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 50–58°. There are a spread of Si–O bond distances ranging from 1.64–1.67 Å. In the third Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with three MgO6 octahedra and corners with three AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 54–65°. There are a spread of Si–O bond distances ranging from 1.63–1.66 Å. In the fourth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with five MgO6 octahedra and corners with two AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 48–57°. There are a spread of Si–O bond distances ranging from 1.64–1.66 Å. There are forty inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal planar geometry to one Mg2+, one Ti4+, and one Al3+ atom. In the second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Mg2+ and two Ti4+ atoms. In the third O2- site, O2- is bonded in a 4-coordinate geometry to one Ca2+, two Ti4+, and one Al3+ atom. In the fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Mg2+, one Ti4+, and one Al3+ atom. In the fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Ca2+, one Mg2+, one Ti4+, and one Al3+ atom. In the sixth O2- site, O2- is bonded to three Mg2+ and one Ti4+ atom to form distorted OMg3Ti trigonal pyramids that share corners with two OMg3Si tetrahedra, a cornercorner with one OMg2TiAl trigonal pyramid, and an edgeedge with one OMg2TiAl tetrahedra. In the seventh O2- site, O2- is bonded to three Mg2+ and one Si4+ atom to form distorted OMg3Si tetrahedra that share a cornercorner with one OMg2TiAl tetrahedra, corners with two OMg3Ti trigonal pyramids, and an edgeedge with one OMg2TiAl tetrahedra. In the eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Ca2+, one Al3+, and one Si4+ atom. In the ninth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Ca2+, one Mg2+, one Ti4+, and one Al3+ atom. In the tenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Mg2+ and one Si4+ atom. In the eleventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Ca2+, one Mg2+, one Ti4+, and one Si4+ atom. In the twelfth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Ca2+, one Mg2+, one Ti4+, and one Al3+ atom. In the thirteenth O2- site, O2- is bonded to two Mg2+, one Ti4+, and one Al3+ atom to form distorted OMg2TiAl trigonal pyramids that share a cornercorner with one OMg3Si tetrahedra, a cornercorner with one OMg3Ti trigonal pyramid, and an edgeedge with one OMg2TiAl tetrahedra. In the fourteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Ca2+, one Al3+, and one Si4+ atom. In the fifteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Ca2+, one Al3+, and one Si4+ atom. In the sixteenth O2- site, O2- is bonded to two Mg2+, one Ti4+, and one Al3+ atom to form distorted OMg2TiAl tetrahedra that share corners with two OMg3Si tetrahedra and a cornercorner with one OMg3Ti trigonal pyramid. In the seventeenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Ca2+, two Mg2+, and one Si4+ atom. In the eighteenth O2- site, O2- is bonded in a 2-coordinate geometry to two Ca2+, one Al3+, and one Si4+ atom. In the nineteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Ca2+, one Al3+, and one Si4+ atom. In the twentieth O2- site, O2- is bonded in a 4-coordinate geometry to two Ca2+, one Al3+, and one Si4+ atom. In the twenty-first O2- site, O2- is bonded in a 2-coordinate geometry to two Ca2+, one Al3+, and one Si4+ atom. In the twenty-second O2- site, O2- is bonded in a di

36 MATERIALS SCIENCE↗

Materials Data on Re(CO)5 by Materials Project

Re(CO)5 crystallizes in the monoclinic C2/c space group. The structure is zero-dimensional and consists of forty formaldehyde molecules and eight rhenium molecules.

36 MATERIALS SCIENCE↗

Materials Data on C37F21 by Materials Project

(C)30(CF3)7 crystallizes in the triclinic P1 space group. The structure is zero-dimensional and consists of six ethyne molecules, fourteen fluoroform molecules, and forty-eight methane molecules.

36 MATERIALS SCIENCE↗

Materials Data on K4Pt2(SO4)5 by Materials Project

K4Pt2(SO4)5 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are eight inequivalent K1+ sites. In the first K1+ site, K1+ is bonded in a 5-coordinate geometry to eleven O2- atoms. There are a spread of K–O bond distances ranging from 2.83–3.42 Å. In the second K1+ site, K1+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of K–O bond distances ranging from 2.88–3.38 Å. In the third K1+ site, K1+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of K–O bond distances ranging from 2.69–2.95 Å. In the fourth K1+ site, K1+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of K–O bond distances ranging from 2.62–2.92 Å. In the fifth K1+ site, K1+ is bonded in a 3-coordinate geometry to nine O2- atoms. There are a spread of K–O bond distances ranging from 2.66–3.41 Å. In the sixth K1+ site, K1+ is bonded in a 8-coordinate geometry to nine O2- atoms. There are a spread of K–O bond distances ranging from 2.72–3.34 Å. In the seventh K1+ site, K1+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of K–O bond distances ranging from 2.82–3.06 Å. In the eighth K1+ site, K1+ is bonded in a 6-coordinate geometry to eight O2- atoms. There are a spread of K–O bond distances ranging from 2.71–3.50 Å. There are four inequivalent Pt3+ sites. In the first Pt3+ site, Pt3+ is bonded to five O2- atoms to form PtO5 square pyramids that share corners with five SO4 tetrahedra. There are four shorter (2.05 Å) and one longer (2.17 Å) Pt–O bond lengths. In the second Pt3+ site, Pt3+ is bonded to five O2- atoms to form PtO5 square pyramids that share corners with five SO4 tetrahedra. There are a spread of Pt–O bond distances ranging from 2.04–2.17 Å. In the third Pt3+ site, Pt3+ is bonded to five O2- atoms to form PtO5 square pyramids that share corners with five SO4 tetrahedra. There are a spread of Pt–O bond distances ranging from 2.04–2.19 Å. In the fourth Pt3+ site, Pt3+ is bonded to five O2- atoms to form PtO5 square pyramids that share corners with five SO4 tetrahedra. There are a spread of Pt–O bond distances ranging from 2.04–2.19 Å. There are ten inequivalent S6+ sites. In the first S6+ site, S6+ is bonded to four O2- atoms to form SO4 tetrahedra that share corners with two PtO5 square pyramids. There are a spread of S–O bond distances ranging from 1.47–1.53 Å. In the second S6+ site, S6+ is bonded to four O2- atoms to form SO4 tetrahedra that share corners with two equivalent PtO5 square pyramids. There are a spread of S–O bond distances ranging from 1.45–1.56 Å. In the third S6+ site, S6+ is bonded to four O2- atoms to form SO4 tetrahedra that share corners with two equivalent PtO5 square pyramids. There are a spread of S–O bond distances ranging from 1.45–1.56 Å. In the fourth S6+ site, S6+ is bonded to four O2- atoms to form SO4 tetrahedra that share corners with two equivalent PtO5 square pyramids. There is two shorter (1.45 Å) and two longer (1.55 Å) S–O bond length. In the fifth S6+ site, S6+ is bonded to four O2- atoms to form SO4 tetrahedra that share corners with two equivalent PtO5 square pyramids. There are a spread of S–O bond distances ranging from 1.45–1.56 Å. In the sixth S6+ site, S6+ is bonded to four O2- atoms to form SO4 tetrahedra that share corners with two equivalent PtO5 square pyramids. There are a spread of S–O bond distances ranging from 1.46–1.55 Å. In the seventh S6+ site, S6+ is bonded to four O2- atoms to form SO4 tetrahedra that share corners with two equivalent PtO5 square pyramids. There are a spread of S–O bond distances ranging from 1.45–1.56 Å. In the eighth S6+ site, S6+ is bonded to four O2- atoms to form SO4 tetrahedra that share corners with two equivalent PtO5 square pyramids. There are a spread of S–O bond distances ranging from 1.45–1.57 Å. In the ninth S6+ site, S6+ is bonded to four O2- atoms to form SO4 tetrahedra that share corners with two equivalent PtO5 square pyramids. There are a spread of S–O bond distances ranging from 1.45–1.56 Å. In the tenth S6+ site, S6+ is bonded to four O2- atoms to form SO4 tetrahedra that share corners with two PtO5 square pyramids. There are a spread of S–O bond distances ranging from 1.45–1.54 Å. There are forty inequivalent O2- sites. In the first O2- site, O2- is bonded in a bent 120 degrees geometry to one Pt3+ and one S6+ atom. In the second O2- site, O2- is bonded in a bent 120 degrees geometry to two K1+, one Pt3+, and one S6+ atom. In the third O2- site, O2- is bonded in a distorted single-bond geometry to three K1+ and one S6+ atom. In the fourth O2- site, O2- is bonded in a distorted single-bond geometry to three K1+ and one S6+ atom. In the fifth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two K1+, one Pt3+, and one S6+ atom. In the sixth O2- site, O2- is bonded in a distorted linear geometry to one K1+ and one S6+ atom. In the seventh O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two K1+ and one S6+ atom. In the eighth O2- site, O2- is bonded in a distorted single-bond geometry to two K1+ and one S6+ atom. In the ninth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one K1+, one Pt3+, and one S6+ atom. In the tenth O2- site, O2- is bonded in a 2-coordinate geometry to one K1+, one Pt3+, and one S6+ atom. In the eleventh O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one K1+, one Pt3+, and one S6+ atom. In the twelfth O2- site, O2- is bonded in a 2-coordinate geometry to one K1+, one Pt3+, and one S6+ atom. In the thirteenth O2- site, O2- is bonded in a distorted single-bond geometry to two K1+ and one S6+ atom. In the fourteenth O2- site, O2- is bonded in a distorted single-bond geometry to three K1+ and one S6+ atom. In the fifteenth O2- site, O2- is bonded in a distorted single-bond geometry to two equivalent K1+ and one S6+ atom. In the sixteenth O2- site, O2- is bonded in a 1-coordinate geometry to one K1+, one Pt3+, and one S6+ atom. In the seventeenth O2- site, O2- is bonded in a distorted single-bond geometry to two K1+ and one S6+ atom. In the eighteenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two K1+, one Pt3+, and one S6+ atom. In the nineteenth O2- site, O2- is bonded in a 1-coordinate geometry to one K1+, one Pt3+, and one S6+ atom. In the twentieth O2- site, O2- is bonded in a distorted single-bond geometry to two K1+ and one S6+ atom. In the twenty-first O2- site, O2- is bonded in a bent 120 degrees geometry to one Pt3+ and one S6+ atom. In the twenty-second O2- site, O2- is bonded in a 2-coordinate geometry to two K1+, one Pt3+, and one S6+ atom. In the twenty-third O2- site, O2- is bonded in a distorted single-bond geometry to two K1+ and one S6+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted single-bond geometry to two K1+ and one S6+ atom. In the twenty-fifth O2- site, O2- is bonded in a distorted single-bond geometry to three K1+ and one S6+ atom. In the twenty-sixth O2- site, O2- is bonded in a 3-coordinate geometry to one K1+, one Pt3+, and one S6+ atom. In the twenty-seventh O2- site, O2- is bonded in a 2-coordinate geometry to one K1+, one Pt3+, and one S6+ atom. In the twenty-eighth O2- site, O2- is bonded in a bent 120 degrees geometry to one Pt3+ and one S6+ atom. In the twenty-ninth O2- site, O2- is bonded in a distorted single-bond geometry to two K1+ and one S6+ atom. In the thirtieth O2- site, O2- is bonded in a 2-coordinate geometry to one K1+, one Pt3+, and one S6+ atom. In the thirty-first O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two K1+, one Pt3+, and one S6+ atom. In the thirty-second O2- site, O2- is bonded in a distorted single-bond geometry to two K1+ and one S6+ atom. In the thirty-third O2- site, O2- is bonded in a 2-coordinate geometry to one K1+, one Pt3+, and one S6+ atom. In the thirty-fourth O2- site, O2- is bonded in a distorted single-bond geometry to two K1+ and one S6+ atom. In the thirty-fifth O2- site, O2- is bonded in a 1-coordinate geometry to two K1+ and one S6+ atom. In the thirty-sixth O2- site, O2- is bonded in a distorted single-bond geometry to three K1+ and one S6+ atom. In the thirty-seventh O2- site, O2- is bonded in a 2-coordinate geometry to two K1+, one Pt3+, and one S6+ atom. In the thirty-eighth O2- site, O2- is bonded in a distorted single-bond geometry to two K1+ and one S6+ atom. In the thirty-ninth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one K1+, one Pt3+, and one S6+ atom. In the fortieth O2- site, O2- is bonded in a distorted single-bond geometry to three K1+ and one S6+ atom.

36 MATERIALS SCIENCE↗

Materials Data on AgBTe4C2(O3F10)2 by Materials Project

AgBC2Te4(O3F10)2 crystallizes in the triclinic P-1 space group. The structure is two-dimensional and consists of one AgBC2Te4(O3F10)2 sheet oriented in the (1, 1, 1) direction. there are three inequivalent Ag1+ sites. In the first Ag1+ site, Ag1+ is bonded in a distorted linear geometry to two equivalent C4+ and two equivalent F1- atoms. Both Ag–C bond lengths are 2.09 Å. Both Ag–F bond lengths are 3.10 Å. In the second Ag1+ site, Ag1+ is bonded in a 6-coordinate geometry to two C4+ and four F1- atoms. There are one shorter (2.10 Å) and one longer (2.11 Å) Ag–C bond lengths. There are a spread of Ag–F bond distances ranging from 2.81–2.99 Å. In the third Ag1+ site, Ag1+ is bonded in a 4-coordinate geometry to two equivalent C4+ and four F1- atoms. Both Ag–C bond lengths are 2.09 Å. There are two shorter (3.01 Å) and two longer (3.15 Å) Ag–F bond lengths. There are two inequivalent B3+ sites. In the first B3+ site, B3+ is bonded to four O2- atoms to form BO4 tetrahedra that share corners with four TeOF5 octahedra. The corner-sharing octahedra tilt angles range from 50–51°. There is three shorter (1.48 Å) and one longer (1.49 Å) B–O bond length. In the second B3+ site, B3+ is bonded to four O2- atoms to form BO4 tetrahedra that share corners with four TeOF5 octahedra. The corner-sharing octahedra tilt angles range from 49–53°. All B–O bond lengths are 1.48 Å. There are four inequivalent C4+ sites. In the first C4+ site, C4+ is bonded in a distorted linear geometry to one Ag1+ and one O2- atom. The C–O bond length is 1.13 Å. In the second C4+ site, C4+ is bonded in a linear geometry to one Ag1+ and one O2- atom. The C–O bond length is 1.14 Å. In the third C4+ site, C4+ is bonded in a distorted linear geometry to one Ag1+ and one O2- atom. The C–O bond length is 1.13 Å. In the fourth C4+ site, C4+ is bonded in a distorted linear geometry to one Ag1+ and one O2- atom. The C–O bond length is 1.14 Å. There are eight inequivalent Te5+ sites. In the first Te5+ site, Te5+ is bonded to one O2- and five F1- atoms to form TeOF5 octahedra that share a cornercorner with one BO4 tetrahedra. The Te–O bond length is 1.88 Å. There are a spread of Te–F bond distances ranging from 1.87–1.90 Å. In the second Te5+ site, Te5+ is bonded to one O2- and five F1- atoms to form TeOF5 octahedra that share a cornercorner with one BO4 tetrahedra. The Te–O bond length is 1.89 Å. There is three shorter (1.88 Å) and two longer (1.89 Å) Te–F bond length. In the third Te5+ site, Te5+ is bonded to one O2- and five F1- atoms to form TeOF5 octahedra that share a cornercorner with one BO4 tetrahedra. The Te–O bond length is 1.88 Å. There is three shorter (1.88 Å) and two longer (1.89 Å) Te–F bond length. In the fourth Te5+ site, Te5+ is bonded to one O2- and five F1- atoms to form TeOF5 octahedra that share a cornercorner with one BO4 tetrahedra. The Te–O bond length is 1.88 Å. There are a spread of Te–F bond distances ranging from 1.87–1.89 Å. In the fifth Te5+ site, Te5+ is bonded to one O2- and five F1- atoms to form TeOF5 octahedra that share a cornercorner with one BO4 tetrahedra. The Te–O bond length is 1.88 Å. There is three shorter (1.88 Å) and two longer (1.89 Å) Te–F bond length. In the sixth Te5+ site, Te5+ is bonded to one O2- and five F1- atoms to form TeOF5 octahedra that share a cornercorner with one BO4 tetrahedra. The Te–O bond length is 1.88 Å. There are a spread of Te–F bond distances ranging from 1.87–1.89 Å. In the seventh Te5+ site, Te5+ is bonded to one O2- and five F1- atoms to form TeOF5 octahedra that share a cornercorner with one BO4 tetrahedra. The Te–O bond length is 1.88 Å. There are a spread of Te–F bond distances ranging from 1.87–1.90 Å. In the eighth Te5+ site, Te5+ is bonded to one O2- and five F1- atoms to form TeOF5 octahedra that share a cornercorner with one BO4 tetrahedra. The Te–O bond length is 1.88 Å. There are a spread of Te–F bond distances ranging from 1.87–1.89 Å. There are twelve inequivalent O2- sites. In the first O2- site, O2- is bonded in a single-bond geometry to one C4+ atom. In the second O2- site, O2- is bonded in a single-bond geometry to one C4+ atom. In the third O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one B3+ and one Te5+ atom. In the fourth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one B3+ and one Te5+ atom. In the fifth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one B3+ and one Te5+ atom. In the sixth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one B3+ and one Te5+ atom. In the seventh O2- site, O2- is bonded in a single-bond geometry to one C4+ atom. In the eighth O2- site, O2- is bonded in a single-bond geometry to one C4+ atom. In the ninth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one B3+ and one Te5+ atom. In the tenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one B3+ and one Te5+ atom. In the eleventh O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one B3+ and one Te5+ atom. In the twelfth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one B3+ and one Te5+ atom. There are forty inequivalent F1- sites. In the first F1- site, F1- is bonded in a single-bond geometry to one Te5+ atom. In the second F1- site, F1- is bonded in a single-bond geometry to one Te5+ atom. In the third F1- site, F1- is bonded in a single-bond geometry to one Ag1+ and one Te5+ atom. In the fourth F1- site, F1- is bonded in a distorted single-bond geometry to one Ag1+ and one Te5+ atom. In the fifth F1- site, F1- is bonded in a single-bond geometry to one Te5+ atom. In the sixth F1- site, F1- is bonded in a single-bond geometry to one Te5+ atom. In the seventh F1- site, F1- is bonded in a single-bond geometry to one Te5+ atom. In the eighth F1- site, F1- is bonded in a single-bond geometry to one Te5+ atom. In the ninth F1- site, F1- is bonded in a single-bond geometry to one Te5+ atom. In the tenth F1- site, F1- is bonded in a single-bond geometry to one Te5+ atom. In the eleventh F1- site, F1- is bonded in a distorted single-bond geometry to one Ag1+ and one Te5+ atom. In the twelfth F1- site, F1- is bonded in a single-bond geometry to one Te5+ atom. In the thirteenth F1- site, F1- is bonded in a single-bond geometry to one Te5+ atom. In the fourteenth F1- site, F1- is bonded in a single-bond geometry to one Te5+ atom. In the fifteenth F1- site, F1- is bonded in a single-bond geometry to one Te5+ atom. In the sixteenth F1- site, F1- is bonded in a single-bond geometry to one Te5+ atom. In the seventeenth F1- site, F1- is bonded in a single-bond geometry to one Te5+ atom. In the eighteenth F1- site, F1- is bonded in a single-bond geometry to one Te5+ atom. In the nineteenth F1- site, F1- is bonded in a single-bond geometry to one Te5+ atom. In the twentieth F1- site, F1- is bonded in a single-bond geometry to one Te5+ atom. In the twenty-first F1- site, F1- is bonded in a single-bond geometry to one Te5+ atom. In the twenty-second F1- site, F1- is bonded in a single-bond geometry to one Te5+ atom. In the twenty-third F1- site, F1- is bonded in a single-bond geometry to one Te5+ atom. In the twenty-fourth F1- site, F1- is bonded in a single-bond geometry to one Te5+ atom. In the twenty-fifth F1- site, F1- is bonded in a single-bond geometry to one Te5+ atom. In the twenty-sixth F1- site, F1- is bonded in a single-bond geometry to one Te5+ atom. In the twenty-seventh F1- site, F1- is bonded in a single-bond geometry to one Te5+ atom. In the twenty-eighth F1- site, F1- is bonded in a single-bond geometry to one Ag1+ and one Te5+ atom. In the twenty-ninth F1- site, F1- is bonded in a distorted single-bond geometry to one Ag1+ and one Te5+ atom. In the thirtieth F1- site, F1- is bonded in a single-bond geometry to one Ag1+ and one Te5+ atom. In the thirty-first F1- site, F1- is bonded in a distorted single-bond geometry to one Ag1+ and one Te5+ atom. In the thirty-second F1- site, F1- is bonded in a single-bond geometry to one Te5+ atom. In the thirty-third F1- site, F1- is bonded in a single-bond geometry to one Te5+ atom. In the thirty-fourth F1- site, F1- is bonded in a single-bond geometry to one Te5+ atom. In the thirty-fifth F1- site, F1- is bonded in a single-bond geometry to one Te5+ atom. In the thirty-sixth F1- site, F1- is bonded in a single-bond geometry to one Te5+ atom. In the thirty-seventh F1- site, F1- is bonded in a single-bond geometry to one Te5+ atom. In the thirty-eighth F1- site, F1- is bonded in a single-bond geometry to one Te5+ atom. In the thirty-ninth F1- site, F1- is bonded in a single-bond geometry to one Te5+ atom. In the fortieth F1- site, F1- is bonded in a single-bond geometry to one Te5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Ba2Ti9O20 by Materials Project

Ba2Ti9O20 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are four inequivalent Ba2+ sites. In the first Ba2+ site, Ba2+ is bonded in a 11-coordinate geometry to eleven O2- atoms. There are a spread of Ba–O bond distances ranging from 2.83–3.16 Å. In the second Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form distorted BaO12 cuboctahedra that share corners with eight TiO6 octahedra, edges with two equivalent BaO12 cuboctahedra, edges with two TiO6 octahedra, and faces with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 32–59°. There are a spread of Ba–O bond distances ranging from 2.84–3.16 Å. In the third Ba2+ site, Ba2+ is bonded in a 12-coordinate geometry to twelve O2- atoms. There are a spread of Ba–O bond distances ranging from 2.78–3.30 Å. In the fourth Ba2+ site, Ba2+ is bonded in a 11-coordinate geometry to eleven O2- atoms. There are a spread of Ba–O bond distances ranging from 2.79–3.17 Å. There are eighteen inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 36–56°. There are a spread of Ti–O bond distances ranging from 1.82–2.12 Å. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one BaO12 cuboctahedra, corners with three TiO6 octahedra, and edges with three TiO6 octahedra. The corner-sharing octahedra tilt angles range from 15–61°. There are a spread of Ti–O bond distances ranging from 1.80–2.19 Å. In the third Ti4+ site, Ti4+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 46–52°. There are a spread of Ti–O bond distances ranging from 1.88–2.11 Å. In the fourth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with four TiO6 octahedra, edges with three TiO6 octahedra, and a faceface with one BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 9–52°. There are a spread of Ti–O bond distances ranging from 1.80–2.13 Å. In the fifth Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share a cornercorner with one BaO12 cuboctahedra, corners with four TiO6 octahedra, and edges with three TiO6 octahedra. The corner-sharing octahedra tilt angles range from 42–56°. There are a spread of Ti–O bond distances ranging from 1.84–2.19 Å. In the sixth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one BaO12 cuboctahedra, corners with three TiO6 octahedra, and edges with three TiO6 octahedra. The corner-sharing octahedra tilt angles range from 14–57°. There are a spread of Ti–O bond distances ranging from 1.86–2.18 Å. In the seventh Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share a cornercorner with one BaO12 cuboctahedra, corners with four TiO6 octahedra, an edgeedge with one BaO12 cuboctahedra, an edgeedge with one TiO6 octahedra, and a faceface with one BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 11–47°. There are a spread of Ti–O bond distances ranging from 1.84–2.39 Å. In the eighth Ti4+ site, Ti4+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 42–56°. There are a spread of Ti–O bond distances ranging from 1.86–2.12 Å. In the ninth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with three equivalent BaO12 cuboctahedra, corners with four TiO6 octahedra, and edges with two TiO6 octahedra. The corner-sharing octahedra tilt angles range from 34–56°. There are a spread of Ti–O bond distances ranging from 1.84–2.13 Å. In the tenth Ti4+ site, Ti4+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 46–49°. There are a spread of Ti–O bond distances ranging from 1.92–2.05 Å. In the eleventh 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 1.80–2.39 Å. In the twelfth Ti4+ site, Ti4+ is bonded to six O2- atoms to form a mixture of distorted corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 36–61°. There are a spread of Ti–O bond distances ranging from 1.82–2.36 Å. In the thirteenth Ti4+ site, Ti4+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 36–56°. There are a spread of Ti–O bond distances ranging from 1.90–2.15 Å. In the fourteenth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two TiO6 octahedra, an edgeedge with one BaO12 cuboctahedra, edges with four TiO6 octahedra, and a faceface with one BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 16–37°. There are a spread of Ti–O bond distances ranging from 1.85–2.17 Å. In the fifteenth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one BaO12 cuboctahedra, corners with four TiO6 octahedra, and edges with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 14–56°. There are a spread of Ti–O bond distances ranging from 1.89–2.16 Å. In the sixteenth Ti4+ site, Ti4+ is bonded to six O2- atoms to form a mixture of distorted corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 42–56°. There are a spread of Ti–O bond distances ranging from 1.87–2.19 Å. In the seventeenth Ti4+ site, Ti4+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 15–55°. There are a spread of Ti–O bond distances ranging from 1.82–2.12 Å. In the eighteenth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with four TiO6 octahedra, edges with two TiO6 octahedra, and a faceface with one BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 9–46°. There are a spread of Ti–O bond distances ranging from 1.83–2.07 Å. There are forty inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and four Ti4+ atoms. In the second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Ba2+ and four Ti4+ atoms. In the third O2- site, O2- is bonded in a distorted trigonal planar geometry to one Ba2+ and three Ti4+ atoms. In the fourth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Ba2+ and two Ti4+ atoms. In the fifth O2- site, O2- is bonded in a distorted linear geometry to two Ba2+ and two Ti4+ atoms. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to three Ti4+ atoms. In the seventh O2- site, O2- is bonded in a 2-coordinate geometry to two equivalent Ba2+ and two Ti4+ atoms. In the eighth O2- site, O2- is bonded in a distorted water-like geometry to two equivalent Ba2+ and two Ti4+ atoms. In the ninth O2- site, O2- is bonded in a 3-coordinate geometry to three Ti4+ atoms. In the tenth O2- site, O2- is bonded in a 3-coordinate geometry to one Ba2+ and three Ti4+ atoms. In the eleventh O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti4+ atoms. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti4+ atoms. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti4+ atoms. In the fourteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti4+ atoms. In the fifteenth O2- site, O2- is bonded in a distorted water-like geometry to two equivalent Ba2+ and two Ti4+ atoms. In the sixteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Ba2+ and three Ti4+ atoms. In the seventeenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti4+ atoms. In the eighteenth O2- site, O2- is bonded in a distorted linear geometry to three Ba2+ and two Ti4+ atoms. In the nineteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Ba2+ and three Ti4+ atoms. In the twentieth O2- site, O2- is bonded in a distorted T-shaped geometry to one Ba2+ and three Ti4+ atoms. In the twenty-first O2- site, O2- is bonded in a 2-coordinate geometry to two Ba2+ and two Ti4+ atoms. In the twenty-second O2- site, O2- is bonded in a distorted water-like geometry to two equivalent Ba2+ and two Ti4+ atoms. In the twenty-third O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti4+ atoms. In the twenty-fourth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Ba2+ and two Ti4+ atoms. In the twenty-fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti4+ atoms. In the twenty-sixth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and four Ti4+ atoms. In the twenty-seventh O2- site, O2- is bonded in a 2-coordinate geometry to two Ba2+ and two Ti4+ atoms. In the twenty-eighth O2- site, O2- is bonded in a 3-coordinate geometry to one Ba2+ and three Ti4+ atoms. In the twenty-ninth O2- site, O2- is bonded in a distorted water-like geometry to two equivalent Ba2+ and two Ti4+ atoms. In the thirtieth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Ba2+ and three Ti4+ atoms. In the thirty-first O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Ba2+ and two Ti4+ atoms. In the thirty-second O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two Ba2+ and two Ti4+ atoms. In the thirty-third O2- site, O2- is bonded in a bent 150 degrees geometry to one Ba2+ and two Ti4+ atoms. In the thirty-fourth O2- site, O2- is bonded in a distorted T-shaped geometry to two Ba2+ and three Ti4+ atoms. In the thirty-fifth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti4+ atoms. In the thirty-sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti4+ atoms. In the thirty-seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti4+ atoms. In the thirty-eighth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti4+ atoms. In the thirty-ninth O2- site, O2- is bonded in a 2-coordinate geometry to one Ba2+ and three Ti4+ atoms. In the fortieth O2- site, O2- is bonded in a 2-coordinate geometry to two Ba2+ and two Ti4+ atoms.

36 MATERIALS SCIENCE↗