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Materials Data on Zr4N2O5 by Materials Project

Zr4N2O5 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are sixteen inequivalent Zr4+ sites. In the first Zr4+ site, Zr4+ is bonded to three N3- and four O2- atoms to form distorted ZrN3O4 pentagonal bipyramids that share a cornercorner with one ZrN2O4 octahedra, corners with two ZrN2O5 pentagonal bipyramids, an edgeedge with one ZrN3O3 octahedra, and edges with six ZrN2O5 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 55°. There are a spread of Zr–N bond distances ranging from 2.20–2.26 Å. There are a spread of Zr–O bond distances ranging from 2.19–2.25 Å. In the second Zr4+ site, Zr4+ is bonded to two N3- and five O2- atoms to form distorted ZrN2O5 pentagonal bipyramids that share a cornercorner with one ZrN2O4 octahedra, corners with two ZrN3O4 pentagonal bipyramids, an edgeedge with one ZrN3O3 octahedra, and edges with six ZrN3O4 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 49°. There are one shorter (2.21 Å) and one longer (2.23 Å) Zr–N bond lengths. There are a spread of Zr–O bond distances ranging from 2.19–2.27 Å. In the third Zr4+ site, Zr4+ is bonded to two N3- and four O2- atoms to form distorted ZrN2O4 octahedra that share corners with six ZrN3O4 pentagonal bipyramids and edges with six ZrN2O5 pentagonal bipyramids. Both Zr–N bond lengths are 2.13 Å. There are a spread of Zr–O bond distances ranging from 2.13–2.28 Å. In the fourth Zr4+ site, Zr4+ is bonded to two N3- and five O2- atoms to form distorted ZrN2O5 pentagonal bipyramids that share a cornercorner with one ZrN3O3 octahedra, corners with two ZrN2O5 pentagonal bipyramids, an edgeedge with one ZrN2O4 octahedra, and edges with six ZrN3O4 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 54°. There are one shorter (2.16 Å) and one longer (2.24 Å) Zr–N bond lengths. There are a spread of Zr–O bond distances ranging from 2.15–2.32 Å. In the fifth Zr4+ site, Zr4+ is bonded to two N3- and five O2- atoms to form distorted ZrN2O5 pentagonal bipyramids that share a cornercorner with one ZrN3O3 octahedra, corners with two ZrN2O5 pentagonal bipyramids, an edgeedge with one ZrN2O4 octahedra, and edges with six ZrN3O4 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 45°. There are one shorter (2.15 Å) and one longer (2.22 Å) Zr–N bond lengths. There are a spread of Zr–O bond distances ranging from 2.16–2.31 Å. In the sixth Zr4+ site, Zr4+ is bonded in a body-centered cubic geometry to two N3- and six O2- atoms. There are one shorter (2.24 Å) and one longer (2.25 Å) Zr–N bond lengths. There are a spread of Zr–O bond distances ranging from 2.22–2.35 Å. In the seventh Zr4+ site, Zr4+ is bonded to one N3- and six O2- atoms to form distorted ZrNO6 pentagonal bipyramids that share a cornercorner with one ZrN3O3 octahedra, corners with two ZrN2O5 pentagonal bipyramids, an edgeedge with one ZrN2O4 octahedra, and edges with six ZrN3O4 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 53°. The Zr–N bond length is 2.15 Å. There are a spread of Zr–O bond distances ranging from 2.13–2.31 Å. In the eighth Zr4+ site, Zr4+ is bonded to one N3- and six O2- atoms to form distorted ZrNO6 pentagonal bipyramids that share a cornercorner with one ZrN3O3 octahedra, corners with two ZrN2O5 pentagonal bipyramids, an edgeedge with one ZrN2O4 octahedra, and edges with six ZrN2O5 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 53°. The Zr–N bond length is 2.17 Å. There are a spread of Zr–O bond distances ranging from 2.13–2.30 Å. In the ninth Zr4+ site, Zr4+ is bonded to two N3- and five O2- atoms to form distorted ZrN2O5 pentagonal bipyramids that share a cornercorner with one ZrN2O4 octahedra, corners with two ZrN3O4 pentagonal bipyramids, an edgeedge with one ZrN3O3 octahedra, and edges with six ZrN2O5 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 53°. There are one shorter (2.15 Å) and one longer (2.24 Å) Zr–N bond lengths. There are a spread of Zr–O bond distances ranging from 2.18–2.27 Å. In the tenth Zr4+ site, Zr4+ is bonded to two N3- and five O2- atoms to form distorted ZrN2O5 pentagonal bipyramids that share a cornercorner with one ZrN3O3 octahedra, corners with two ZrNO6 pentagonal bipyramids, an edgeedge with one ZrN2O4 octahedra, and edges with six ZrN3O4 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 45°. There are one shorter (2.16 Å) and one longer (2.21 Å) Zr–N bond lengths. There are a spread of Zr–O bond distances ranging from 2.16–2.32 Å. In the eleventh Zr4+ site, Zr4+ is bonded in a body-centered cubic geometry to one N3- and seven O2- atoms. The Zr–N bond length is 2.20 Å. There are a spread of Zr–O bond distances ranging from 2.17–2.38 Å. In the twelfth Zr4+ site, Zr4+ is bonded to three N3- and four O2- atoms to form distorted ZrN3O4 pentagonal bipyramids that share a cornercorner with one ZrN2O4 octahedra, corners with two ZrN2O5 pentagonal bipyramids, an edgeedge with one ZrN3O3 octahedra, and edges with six ZrN2O5 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 55°. There are two shorter (2.22 Å) and one longer (2.30 Å) Zr–N bond lengths. There are a spread of Zr–O bond distances ranging from 2.17–2.25 Å. In the thirteenth Zr4+ site, Zr4+ is bonded to three N3- and four O2- atoms to form distorted ZrN3O4 pentagonal bipyramids that share a cornercorner with one ZrN2O4 octahedra, corners with two ZrN2O5 pentagonal bipyramids, an edgeedge with one ZrN3O3 octahedra, and edges with six ZrN3O4 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 54°. There are a spread of Zr–N bond distances ranging from 2.22–2.26 Å. There are a spread of Zr–O bond distances ranging from 2.17–2.27 Å. In the fourteenth Zr4+ site, Zr4+ is bonded to two N3- and five O2- atoms to form distorted ZrN2O5 pentagonal bipyramids that share a cornercorner with one ZrN2O4 octahedra, corners with two ZrN3O4 pentagonal bipyramids, an edgeedge with one ZrN3O3 octahedra, and edges with six ZrN2O5 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 51°. There are one shorter (2.15 Å) and one longer (2.21 Å) Zr–N bond lengths. There are a spread of Zr–O bond distances ranging from 2.16–2.27 Å. In the fifteenth Zr4+ site, Zr4+ is bonded to one N3- and six O2- atoms to form distorted ZrNO6 pentagonal bipyramids that share a cornercorner with one ZrN3O3 octahedra, corners with two ZrN2O5 pentagonal bipyramids, an edgeedge with one ZrN2O4 octahedra, and edges with six ZrN2O5 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 53°. The Zr–N bond length is 2.23 Å. There are a spread of Zr–O bond distances ranging from 2.13–2.27 Å. In the sixteenth Zr4+ site, Zr4+ is bonded to three N3- and three O2- atoms to form ZrN3O3 octahedra that share corners with six ZrN2O5 pentagonal bipyramids and edges with six ZrN3O4 pentagonal bipyramids. There are a spread of Zr–N bond distances ranging from 2.11–2.19 Å. There are a spread of Zr–O bond distances ranging from 2.18–2.25 Å. There are eight inequivalent N3- sites. In the first N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 tetrahedra that share corners with four NZr4 tetrahedra, corners with six OZr4 tetrahedra, a cornercorner with one NZr4 trigonal pyramid, corners with two OZr4 trigonal pyramids, an edgeedge with one NZr4 tetrahedra, edges with three OZr4 tetrahedra, and an edgeedge with one OZr4 trigonal pyramid. In the second N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 tetrahedra that share corners with three NZr4 tetrahedra, corners with eleven OZr4 tetrahedra, a cornercorner with one OZr4 trigonal pyramid, an edgeedge with one NZr4 tetrahedra, edges with two OZr4 tetrahedra, and an edgeedge with one OZr4 trigonal pyramid. In the third N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 tetrahedra that share corners with three NZr4 tetrahedra, corners with eleven OZr4 tetrahedra, a cornercorner with one OZr4 trigonal pyramid, edges with four OZr4 tetrahedra, and an edgeedge with one OZr4 trigonal pyramid. In the fourth N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 tetrahedra that share corners with four NZr4 tetrahedra, corners with nine OZr4 tetrahedra, corners with two OZr4 trigonal pyramids, edges with four OZr4 tetrahedra, and an edgeedge with one OZr4 trigonal pyramid. In the fifth N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 tetrahedra that share corners with three NZr4 tetrahedra, corners with eleven OZr4 tetrahedra, a cornercorner with one OZr4 trigonal pyramid, edges with four OZr4 tetrahedra, and an edgeedge with one NZr4 trigonal pyramid. In the sixth N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 tetrahedra that share corners with four NZr4 tetrahedra, corners with nine OZr4 tetrahedra, corners with two OZr4 trigonal pyramids, an edgeedge with one NZr4 tetrahedra, and edges with three OZr4 tetrahedra. In the seventh N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share corners with two NZr4 tetrahedra, corners with eleven OZr4 tetrahedra, corners with two OZr4 trigonal pyramids, an edgeedge with one NZr4 tetrahedra, edges with two OZr4 tetrahedra, and an edgeedge with one OZr4 trigonal pyramid. In the eighth N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 tetrahedra that share corners with three NZr4 tetrahedra, corners with eight OZr4 tetrahedra, a cornercorner with one NZr4 trigonal pyramid, a cornercorner with one OZr4 trigonal pyramid, an edgeedge with one NZr4 tetrahedra, edges with three OZr4 tetrahedra, and an edgeedge with one OZr4 trigonal pyramid. There are twenty inequivalent O2- sites. In the first O2- site, O2- is bonded to four Zr4+ atoms to form distorted OZr4 tetrahedra that share corners with two NZr4 tetrahedra, corners with ten OZr4 tetrahedra, a cornercorner with one NZr4 trigonal pyramid, corners with two OZr4 trigonal pyramids, edges with two OZr4 tetrahedra, and edges with three NZr4 tetrahedra. In the second O2- site, O2- is bonded to four Zr4+ atoms to form OZr4 tetrahedra that share corners with five NZr4 tetrahedra, corners with six OZr4 tetrahedra, a cornercorner with one NZr4 trigonal pyramid, a cornercorner with one OZr4 trigonal pyramid, an edgeedge with one NZr4 tetrahedra, edges with four OZr4 tetrahedra, and an edgeedge with one OZr4 trigonal pyramid. In the third O2- site, O2- is bonded to four Zr4+ atoms to form distorted OZr4 trigonal pyramids that share corners with two NZr4 tetrahedra, corners with ten OZr4 tetrahedra, a cornercorner with one NZr4 trigonal pyramid, corners with two OZr4 trigonal pyramids, edges with two NZr4 tetrahedra, and edges with two OZr4 tetrahedra. In the fourth O2- site, O2- is bonded to four Zr4+ atoms to form distorted OZr4 trigonal pyramids that share corners with three NZr4 tetrahedra, corners with eight OZr4 tetrahedra, a cornercorner with one NZr4 trigonal pyramid, a cornercorner with one OZr4 trigonal pyramid, an edgeedge with one NZr4 tetrahedra, and edges with four OZr4 tetrahedra. In the fifth O2- site, O2- is bonded to four Zr4+ atoms to form distorted OZr4 tetrahedra that share corners with four NZr4 tetrahedra, corners with six OZr4 tetrahedra, a cornercorner with one NZr4 trigonal pyramid, corners with two OZr4 trigonal pyramids, an edgeedge with one NZr4 tetrahedra, and edges with four OZr4 tetrahedra. In the sixth O2- site, O2- is bonded to four Zr4+ atoms to form distorted OZr4 tetrahedra that share corners with two NZr4 tetrahedra, corners with eleven OZr4 tetrahedra, corners with two OZr4 trigonal pyramids, edges with two NZr4 tetrahedra, and edges with three OZr4 tetrahedra. In the seventh O2- site, O2- is bonded to four Zr4+ atoms to form OZr4 tetrahedra that share corners with three NZr4 tetrahedra, corners with eight

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on LiAlO2 by Materials Project

LiAlO2 crystallizes in the tetragonal P-4m2 space group. The structure is three-dimensional. there are seven inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two AlO6 octahedra, corners with four equivalent LiO6 octahedra, edges with four LiO6 octahedra, and edges with eight AlO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are four shorter (1.95 Å) and two longer (2.30 Å) Li–O bond lengths. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two AlO6 octahedra, corners with four equivalent LiO6 octahedra, edges with four LiO6 octahedra, and edges with eight AlO6 octahedra. The corner-sharing octahedra tilt angles range from 0–13°. There are a spread of Li–O bond distances ranging from 1.96–2.33 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share a cornercorner with one AlO6 octahedra, corners with five LiO6 octahedra, edges with four LiO6 octahedra, and edges with eight AlO6 octahedra. The corner-sharing octahedra tilt angles range from 0–19°. There are a spread of Li–O bond distances ranging from 1.95–2.46 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent AlO6 octahedra, corners with four equivalent LiO6 octahedra, edges with four equivalent LiO6 octahedra, and edges with eight AlO6 octahedra. The corner-sharing octahedra tilt angles range from 0–12°. There are four shorter (1.96 Å) and two longer (2.32 Å) Li–O bond lengths. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two AlO6 octahedra, corners with four equivalent LiO6 octahedra, edges with four LiO6 octahedra, and edges with eight AlO6 octahedra. The corner-sharing octahedra tilt angles range from 0–13°. There are a spread of Li–O bond distances ranging from 1.96–2.34 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share a cornercorner with one AlO6 octahedra, corners with five LiO6 octahedra, edges with four LiO6 octahedra, and edges with eight AlO6 octahedra. The corner-sharing octahedra tilt angles range from 0–19°. There are a spread of Li–O bond distances ranging from 1.95–2.46 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent AlO6 octahedra, corners with four equivalent LiO6 octahedra, edges with four equivalent LiO6 octahedra, and edges with eight AlO6 octahedra. The corner-sharing octahedra tilt angles range from 0–13°. There are four shorter (1.96 Å) and two longer (2.31 Å) Li–O bond lengths. There are seven inequivalent Al3+ sites. In the first Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with five AlO6 octahedra, edges with four AlO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 0–13°. There are a spread of Al–O bond distances ranging from 1.87–2.12 Å. In the second Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with two LiO6 octahedra, corners with four equivalent AlO6 octahedra, edges with four AlO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 0–13°. There are a spread of Al–O bond distances ranging from 1.89–1.96 Å. In the third Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with two LiO6 octahedra, corners with four equivalent AlO6 octahedra, edges with four AlO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There is two shorter (1.90 Å) and four longer (1.95 Å) Al–O bond length. In the fourth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with two LiO6 octahedra, corners with four equivalent AlO6 octahedra, edges with four AlO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 0–13°. There are a spread of Al–O bond distances ranging from 1.90–1.96 Å. In the fifth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with four equivalent AlO6 octahedra, edges with four equivalent AlO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 0–12°. There is two shorter (1.89 Å) and four longer (1.96 Å) Al–O bond length. In the sixth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with five AlO6 octahedra, edges with four AlO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 0–13°. There are a spread of Al–O bond distances ranging from 1.87–2.12 Å. In the seventh Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with four equivalent AlO6 octahedra, edges with four equivalent AlO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 0–13°. There is two shorter (1.91 Å) and four longer (1.96 Å) Al–O bond length. There are thirteen inequivalent O2- sites. In the first O2- site, O2- is bonded to three Li1+ and three Al3+ atoms to form a mixture of edge and corner-sharing OLi3Al3 octahedra. The corner-sharing octahedra tilt angles range from 0–19°. In the second O2- site, O2- is bonded to two equivalent Li1+ and four Al3+ atoms to form OLi2Al4 octahedra that share corners with six OLi2Al4 octahedra and edges with twelve OLi3Al3 octahedra. The corner-sharing octahedral tilt angles are 0°. In the third O2- site, O2- is bonded to three Li1+ and three Al3+ atoms to form a mixture of distorted edge and corner-sharing OLi3Al3 octahedra. The corner-sharing octahedra tilt angles range from 0–12°. In the fourth O2- site, O2- is bonded to three Li1+ and three Al3+ atoms to form a mixture of distorted edge and corner-sharing OLi3Al3 octahedra. The corner-sharing octahedra tilt angles range from 0–13°. In the fifth O2- site, O2- is bonded to three Li1+ and three Al3+ atoms to form a mixture of edge and corner-sharing OLi3Al3 octahedra. The corner-sharing octahedra tilt angles range from 0–13°. In the sixth O2- site, O2- is bonded to four Li1+ and two equivalent Al3+ atoms to form a mixture of edge and corner-sharing OLi4Al2 octahedra. The corner-sharing octahedral tilt angles are 0°. In the seventh O2- site, O2- is bonded to three Li1+ and three Al3+ atoms to form a mixture of distorted edge and corner-sharing OLi3Al3 octahedra. The corner-sharing octahedra tilt angles range from 0–13°. In the eighth O2- site, O2- is bonded to three Li1+ and three Al3+ atoms to form a mixture of edge and corner-sharing OLi3Al3 octahedra. The corner-sharing octahedra tilt angles range from 0–12°. In the ninth O2- site, O2- is bonded to three Li1+ and three Al3+ atoms to form distorted OLi3Al3 octahedra that share corners with six OLi2Al4 octahedra and edges with twelve OLi3Al3 octahedra. The corner-sharing octahedra tilt angles range from 0–13°. In the tenth O2- site, O2- is bonded to three Li1+ and three Al3+ atoms to form a mixture of edge and corner-sharing OLi3Al3 octahedra. The corner-sharing octahedra tilt angles range from 0–19°. In the eleventh O2- site, O2- is bonded to three Li1+ and three Al3+ atoms to form a mixture of edge and corner-sharing OLi3Al3 octahedra. The corner-sharing octahedra tilt angles range from 0–13°. In the twelfth O2- site, O2- is bonded to three Li1+ and three Al3+ atoms to form distorted OLi3Al3 octahedra that share corners with six OLi2Al4 octahedra and edges with twelve OLi3Al3 octahedra. The corner-sharing octahedra tilt angles range from 0–13°. The O–Li bond length is 2.46 Å. In the thirteenth O2- site, O2- is bonded to three Li1+ and three Al3+ atoms to form distorted OLi3Al3 octahedra that share corners with six OLi2Al4 octahedra and edges with twelve OLi3Al3 octahedra. The corner-sharing octahedra tilt angles range from 0–13°. The O–Al bond length is 1.87 Å.

36 MATERIALS SCIENCE↗
DOE OSTI2020

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↗
DOE OSTI2020

Materials Data on ZnGaNO by Materials Project

ZnGaNO is Stannite-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Zn2+ sites. In the first Zn2+ site, Zn2+ is bonded to one N3- and three O2- atoms to form ZnNO3 tetrahedra that share corners with five GaNO3 tetrahedra and corners with seven ZnO4 tetrahedra. The Zn–N bond length is 1.95 Å. There are a spread of Zn–O bond distances ranging from 1.96–2.19 Å. In the second Zn2+ site, Zn2+ is bonded to four O2- atoms to form ZnO4 tetrahedra that share corners with four GaNO3 tetrahedra and corners with eight ZnNO3 tetrahedra. There are a spread of Zn–O bond distances ranging from 1.95–2.17 Å. In the third Zn2+ site, Zn2+ is bonded to two N3- and two O2- atoms to form ZnN2O2 tetrahedra that share corners with five GaN2O2 tetrahedra and corners with seven ZnNO3 tetrahedra. There is one shorter (1.95 Å) and one longer (1.98 Å) Zn–N bond length. There are one shorter (2.04 Å) and one longer (2.21 Å) Zn–O bond lengths. In the fourth Zn2+ site, Zn2+ is bonded to one N3- and three O2- atoms to form ZnNO3 tetrahedra that share corners with six ZnNO3 tetrahedra and corners with six GaNO3 tetrahedra. The Zn–N bond length is 1.94 Å. There are a spread of Zn–O bond distances ranging from 1.95–2.22 Å. In the fifth Zn2+ site, Zn2+ is bonded to one N3- and three O2- atoms to form ZnNO3 tetrahedra that share corners with three ZnNO3 tetrahedra and corners with nine GaNO3 tetrahedra. The Zn–N bond length is 2.01 Å. There are a spread of Zn–O bond distances ranging from 2.01–2.09 Å. In the sixth Zn2+ site, Zn2+ is bonded to three N3- and one O2- atom to form ZnN3O tetrahedra that share corners with six ZnO4 tetrahedra and corners with six GaN2O2 tetrahedra. There is one shorter (1.96 Å) and two longer (1.98 Å) Zn–N bond length. The Zn–O bond length is 2.22 Å. In the seventh Zn2+ site, Zn2+ is bonded to two N3- and two O2- atoms to form ZnN2O2 tetrahedra that share corners with three ZnN2O2 tetrahedra and corners with nine GaNO3 tetrahedra. There are one shorter (2.03 Å) and one longer (2.04 Å) Zn–N bond lengths. There are one shorter (2.02 Å) and one longer (2.12 Å) Zn–O bond lengths. In the eighth Zn2+ site, Zn2+ is bonded to two N3- and two O2- atoms to form ZnN2O2 tetrahedra that share corners with four GaN4 tetrahedra and corners with eight ZnNO3 tetrahedra. There is one shorter (1.96 Å) and one longer (1.99 Å) Zn–N bond length. There are one shorter (2.06 Å) and one longer (2.15 Å) Zn–O bond lengths. There are eight inequivalent Ga3+ sites. In the first Ga3+ site, Ga3+ is bonded to one N3- and three O2- atoms to form GaNO3 tetrahedra that share corners with six ZnNO3 tetrahedra and corners with six GaN2O2 tetrahedra. The Ga–N bond length is 1.88 Å. There is two shorter (1.96 Å) and one longer (2.01 Å) Ga–O bond length. In the second Ga3+ site, Ga3+ is bonded to two N3- and two O2- atoms to form GaN2O2 tetrahedra that share corners with three GaN2O2 tetrahedra and corners with nine ZnNO3 tetrahedra. There is one shorter (1.89 Å) and one longer (1.97 Å) Ga–N bond length. There is one shorter (1.91 Å) and one longer (1.92 Å) Ga–O bond length. In the third Ga3+ site, Ga3+ is bonded to two N3- and two O2- atoms to form GaN2O2 tetrahedra that share corners with four ZnO4 tetrahedra and corners with eight GaNO3 tetrahedra. There is one shorter (1.91 Å) and one longer (1.94 Å) Ga–N bond length. There are one shorter (1.98 Å) and one longer (2.02 Å) Ga–O bond lengths. In the fourth Ga3+ site, Ga3+ is bonded to three N3- and one O2- atom to form GaN3O tetrahedra that share corners with five ZnN2O2 tetrahedra and corners with seven GaN2O2 tetrahedra. There are a spread of Ga–N bond distances ranging from 1.89–2.02 Å. The Ga–O bond length is 2.03 Å. In the fifth Ga3+ site, Ga3+ is bonded to four N3- atoms to form GaN4 tetrahedra that share corners with four ZnN3O tetrahedra and corners with eight GaNO3 tetrahedra. There are a spread of Ga–N bond distances ranging from 1.91–2.03 Å. In the sixth Ga3+ site, Ga3+ is bonded to three N3- and one O2- atom to form GaN3O tetrahedra that share corners with six ZnN2O2 tetrahedra and corners with six GaNO3 tetrahedra. There are a spread of Ga–N bond distances ranging from 1.88–2.03 Å. The Ga–O bond length is 2.03 Å. In the seventh Ga3+ site, Ga3+ is bonded to two N3- and two O2- atoms to form GaN2O2 tetrahedra that share corners with five ZnNO3 tetrahedra and corners with seven GaNO3 tetrahedra. There is one shorter (1.89 Å) and one longer (1.94 Å) Ga–N bond length. There are one shorter (1.99 Å) and one longer (2.04 Å) Ga–O bond lengths. In the eighth Ga3+ site, Ga3+ is bonded to three N3- and one O2- atom to form GaN3O tetrahedra that share corners with three GaN2O2 tetrahedra and corners with nine ZnNO3 tetrahedra. There is two shorter (1.92 Å) and one longer (1.97 Å) Ga–N bond length. The Ga–O bond length is 1.96 Å. There are eight inequivalent N3- sites. In the first N3- site, N3- is bonded to two Zn2+ and two Ga3+ atoms to form NZn2Ga2 tetrahedra that share corners with three NZn2Ga2 tetrahedra and corners with nine OZn4 tetrahedra. In the second N3- site, N3- is bonded to three Zn2+ and one Ga3+ atom to form NZn3Ga tetrahedra that share corners with six NZn2Ga2 tetrahedra and corners with six OZn4 tetrahedra. In the third N3- site, N3- is bonded to two Zn2+ and two Ga3+ atoms to form NZn2Ga2 tetrahedra that share corners with five OZn3Ga tetrahedra and corners with seven NZn2Ga2 tetrahedra. In the fourth N3- site, N3- is bonded to one Zn2+ and three Ga3+ atoms to form NZnGa3 tetrahedra that share corners with six NZn3Ga tetrahedra and corners with six OZn2Ga2 tetrahedra. In the fifth N3- site, N3- is bonded to one Zn2+ and three Ga3+ atoms to form NZnGa3 tetrahedra that share corners with five OZn3Ga tetrahedra and corners with seven NZn2Ga2 tetrahedra. In the sixth N3- site, N3- is bonded to two Zn2+ and two Ga3+ atoms to form NZn2Ga2 tetrahedra that share corners with four OZn4 tetrahedra and corners with eight NZn2Ga2 tetrahedra. In the seventh N3- site, N3- is bonded to one Zn2+ and three Ga3+ atoms to form NZnGa3 tetrahedra that share corners with three NZn2Ga2 tetrahedra and corners with nine OZn2Ga2 tetrahedra. In the eighth N3- site, N3- is bonded to four Ga3+ atoms to form NGa4 tetrahedra that share corners with four OZn2Ga2 tetrahedra and corners with eight NZn3Ga tetrahedra. There are eight inequivalent O2- sites. In the first O2- site, O2- is bonded to four Zn2+ atoms to form OZn4 tetrahedra that share corners with four NZn2Ga2 tetrahedra and corners with eight OZn2Ga2 tetrahedra. In the second O2- site, O2- is bonded to two Zn2+ and two Ga3+ atoms to form OZn2Ga2 tetrahedra that share corners with four NZnGa3 tetrahedra and corners with eight OZn4 tetrahedra. In the third O2- site, O2- is bonded to three Zn2+ and one Ga3+ atom to form OZn3Ga tetrahedra that share corners with three OZn4 tetrahedra and corners with nine NZn2Ga2 tetrahedra. In the fourth O2- site, O2- is bonded to three Zn2+ and one Ga3+ atom to form OZn3Ga tetrahedra that share corners with six NZn2Ga2 tetrahedra and corners with six OZn4 tetrahedra. In the fifth O2- site, O2- is bonded to one Zn2+ and three Ga3+ atoms to form OZnGa3 tetrahedra that share corners with six NZn2Ga2 tetrahedra and corners with six OZn4 tetrahedra. In the sixth O2- site, O2- is bonded to two Zn2+ and two Ga3+ atoms to form OZn2Ga2 tetrahedra that share corners with three OZn2Ga2 tetrahedra and corners with nine NZn3Ga tetrahedra. In the seventh O2- site, O2- is bonded to two Zn2+ and two Ga3+ atoms to form OZn2Ga2 tetrahedra that share corners with five NZn2Ga2 tetrahedra and corners with seven OZn4 tetrahedra. In the eighth O2- site, O2- is bonded to three Zn2+ and one Ga3+ atom to form OZn3Ga tetrahedra that share corners with five NZn2Ga2 tetrahedra and corners with seven OZn4 tetrahedra.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Ba9(NdS6)2 by Materials Project

Ba9(NdS6)2 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are nine inequivalent Ba2+ sites. In the first Ba2+ site, Ba2+ is bonded to six S2- atoms to form BaS6 octahedra that share corners with two NdS6 octahedra, corners with three BaS6 octahedra, edges with two NdS6 octahedra, and edges with nine BaS6 octahedra. The corner-sharing octahedra tilt angles range from 1–10°. There are a spread of Ba–S bond distances ranging from 3.05–3.30 Å. In the second Ba2+ site, Ba2+ is bonded to six S2- atoms to form a mixture of corner and edge-sharing BaS6 octahedra. The corner-sharing octahedral tilt angles are 2°. There are a spread of Ba–S bond distances ranging from 3.18–3.22 Å. In the third Ba2+ site, Ba2+ is bonded to six S2- atoms to form BaS6 octahedra that share corners with two NdS6 octahedra, corners with three BaS6 octahedra, edges with two NdS6 octahedra, and edges with nine BaS6 octahedra. The corner-sharing octahedra tilt angles range from 2–10°. There are a spread of Ba–S bond distances ranging from 3.06–3.30 Å. In the fourth Ba2+ site, Ba2+ is bonded to six S2- atoms to form BaS6 octahedra that share corners with two NdS6 octahedra, corners with three BaS6 octahedra, edges with two NdS6 octahedra, and edges with nine BaS6 octahedra. The corner-sharing octahedra tilt angles range from 1–10°. There are a spread of Ba–S bond distances ranging from 3.05–3.29 Å. In the fifth Ba2+ site, Ba2+ is bonded to six S2- atoms to form BaS6 octahedra that share corners with two NdS6 octahedra, corners with three BaS6 octahedra, edges with two NdS6 octahedra, and edges with nine BaS6 octahedra. The corner-sharing octahedra tilt angles range from 1–10°. There are a spread of Ba–S bond distances ranging from 3.06–3.30 Å. In the sixth Ba2+ site, Ba2+ is bonded to six S2- atoms to form a mixture of corner and edge-sharing BaS6 octahedra. The corner-sharing octahedra tilt angles range from 1–2°. There are four shorter (3.20 Å) and two longer (3.21 Å) Ba–S bond lengths. In the seventh Ba2+ site, Ba2+ is bonded to six S2- atoms to form BaS6 octahedra that share corners with two NdS6 octahedra, corners with three BaS6 octahedra, edges with two NdS6 octahedra, and edges with nine BaS6 octahedra. The corner-sharing octahedra tilt angles range from 1–10°. There are a spread of Ba–S bond distances ranging from 3.06–3.30 Å. In the eighth Ba2+ site, Ba2+ is bonded to six S2- atoms to form a mixture of corner and edge-sharing BaS6 octahedra. The corner-sharing octahedra tilt angles range from 1–3°. There are four shorter (3.20 Å) and two longer (3.21 Å) Ba–S bond lengths. In the ninth Ba2+ site, Ba2+ is bonded to six S2- atoms to form BaS6 octahedra that share corners with two NdS6 octahedra, corners with three BaS6 octahedra, edges with two NdS6 octahedra, and edges with nine BaS6 octahedra. The corner-sharing octahedra tilt angles range from 1–10°. There are a spread of Ba–S bond distances ranging from 3.05–3.30 Å. There are two inequivalent Nd3+ sites. In the first Nd3+ site, Nd3+ is bonded to six S2- atoms to form NdS6 octahedra that share corners with six BaS6 octahedra, edges with three equivalent NdS6 octahedra, and edges with six BaS6 octahedra. The corner-sharing octahedral tilt angles are 10°. All Nd–S bond lengths are 2.93 Å. In the second Nd3+ site, Nd3+ is bonded to six S2- atoms to form NdS6 octahedra that share corners with six BaS6 octahedra, edges with three equivalent NdS6 octahedra, and edges with six BaS6 octahedra. The corner-sharing octahedral tilt angles are 10°. All Nd–S bond lengths are 2.93 Å. There are twelve inequivalent S2- sites. In the first S2- site, S2- is bonded to three Ba2+ and two Nd3+ atoms to form SBa3Nd2 square pyramids that share corners with three SBa6 octahedra, corners with six SBa3Nd2 square pyramids, edges with three SBa6 octahedra, and edges with five SBa3Nd2 square pyramids. The corner-sharing octahedra tilt angles range from 0–7°. In the second S2- site, S2- is bonded to six Ba2+ atoms to form SBa6 octahedra that share corners with three SBa6 octahedra, corners with three SBa3Nd2 square pyramids, edges with nine SBa6 octahedra, and edges with three SBa3Nd2 square pyramids. The corner-sharing octahedra tilt angles range from 0–1°. In the third S2- site, S2- is bonded to three Ba2+ and two Nd3+ atoms to form SBa3Nd2 square pyramids that share corners with three SBa6 octahedra, corners with six SBa3Nd2 square pyramids, edges with three SBa6 octahedra, and edges with five SBa3Nd2 square pyramids. The corner-sharing octahedra tilt angles range from 1–7°. In the fourth S2- site, S2- is bonded to six Ba2+ atoms to form SBa6 octahedra that share corners with three SBa6 octahedra, corners with three SBa3Nd2 square pyramids, edges with nine SBa6 octahedra, and edges with three SBa3Nd2 square pyramids. The corner-sharing octahedra tilt angles range from 0–1°. In the fifth S2- site, S2- is bonded to six Ba2+ atoms to form SBa6 octahedra that share corners with three SBa6 octahedra, corners with three SBa3Nd2 square pyramids, edges with nine SBa6 octahedra, and edges with three SBa3Nd2 square pyramids. The corner-sharing octahedra tilt angles range from 0–1°. In the sixth S2- site, S2- is bonded to three Ba2+ and two Nd3+ atoms to form SBa3Nd2 square pyramids that share corners with three SBa6 octahedra, corners with six SBa3Nd2 square pyramids, edges with three SBa6 octahedra, and edges with five SBa3Nd2 square pyramids. The corner-sharing octahedra tilt angles range from 1–7°. In the seventh S2- site, S2- is bonded to three Ba2+ and two Nd3+ atoms to form SBa3Nd2 square pyramids that share corners with three SBa6 octahedra, corners with six SBa3Nd2 square pyramids, edges with three SBa6 octahedra, and edges with five SBa3Nd2 square pyramids. The corner-sharing octahedra tilt angles range from 0–7°. In the eighth S2- site, S2- is bonded to six Ba2+ atoms to form SBa6 octahedra that share corners with three SBa6 octahedra, corners with three SBa3Nd2 square pyramids, edges with nine SBa6 octahedra, and edges with three SBa3Nd2 square pyramids. The corner-sharing octahedra tilt angles range from 0–1°. In the ninth S2- site, S2- is bonded to six Ba2+ atoms to form SBa6 octahedra that share corners with three SBa6 octahedra, corners with three SBa3Nd2 square pyramids, edges with nine SBa6 octahedra, and edges with three SBa3Nd2 square pyramids. The corner-sharing octahedra tilt angles range from 0–1°. In the tenth S2- site, S2- is bonded to three Ba2+ and two Nd3+ atoms to form SBa3Nd2 square pyramids that share corners with three SBa6 octahedra, corners with six SBa3Nd2 square pyramids, edges with three SBa6 octahedra, and edges with five SBa3Nd2 square pyramids. The corner-sharing octahedra tilt angles range from 1–7°. In the eleventh S2- site, S2- is bonded to six Ba2+ atoms to form SBa6 octahedra that share corners with three SBa6 octahedra, corners with three SBa3Nd2 square pyramids, edges with nine SBa6 octahedra, and edges with three SBa3Nd2 square pyramids. The corner-sharing octahedra tilt angles range from 0–1°. In the twelfth S2- site, S2- is bonded to three Ba2+ and two Nd3+ atoms to form SBa3Nd2 square pyramids that share corners with three SBa6 octahedra, corners with six SBa3Nd2 square pyramids, edges with three SBa6 octahedra, and edges with five SBa3Nd2 square pyramids. The corner-sharing octahedra tilt angles range from 0–7°.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Li5TiN3 by Materials Project

Li5TiN3 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eighty inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four N3- atoms to form distorted LiN4 tetrahedra that share corners with two TiN4 tetrahedra, corners with twelve LiN4 tetrahedra, edges with two TiN4 tetrahedra, and edges with three LiN4 tetrahedra. There are a spread of Li–N bond distances ranging from 2.08–2.21 Å. In the second Li1+ site, Li1+ is bonded to four N3- atoms to form distorted LiN4 tetrahedra that share a cornercorner with one TiN4 tetrahedra, corners with fourteen LiN4 tetrahedra, edges with two TiN4 tetrahedra, and edges with three LiN4 tetrahedra. There are a spread of Li–N bond distances ranging from 1.97–2.25 Å. In the third Li1+ site, Li1+ is bonded to four N3- atoms to form distorted LiN4 tetrahedra that share corners with two TiN4 tetrahedra, corners with eleven LiN4 tetrahedra, edges with two TiN4 tetrahedra, and edges with four LiN4 tetrahedra. There are a spread of Li–N bond distances ranging from 2.06–2.33 Å. In the fourth Li1+ site, Li1+ is bonded to four N3- atoms to form distorted LiN4 tetrahedra that share corners with four TiN4 tetrahedra, corners with ten LiN4 tetrahedra, an edgeedge with one TiN4 tetrahedra, and edges with five LiN4 tetrahedra. There are a spread of Li–N bond distances ranging from 2.09–2.24 Å. In the fifth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four N3- atoms. There are a spread of Li–N bond distances ranging from 2.06–2.38 Å. In the sixth Li1+ site, Li1+ is bonded to four N3- atoms to form distorted LiN4 tetrahedra that share corners with three TiN4 tetrahedra, corners with eleven LiN4 tetrahedra, edges with two LiN4 tetrahedra, and edges with two TiN4 tetrahedra. There are a spread of Li–N bond distances ranging from 2.06–2.29 Å. In the seventh Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four N3- atoms. There are a spread of Li–N bond distances ranging from 2.06–2.34 Å. In the eighth Li1+ site, Li1+ is bonded to four N3- atoms to form distorted LiN4 tetrahedra that share corners with two TiN4 tetrahedra, corners with twelve LiN4 tetrahedra, an edgeedge with one TiN4 tetrahedra, and edges with five LiN4 tetrahedra. There are a spread of Li–N bond distances ranging from 2.08–2.18 Å. In the ninth Li1+ site, Li1+ is bonded to four N3- atoms to form distorted LiN4 tetrahedra that share corners with two TiN4 tetrahedra, corners with twelve LiN4 tetrahedra, an edgeedge with one LiN4 tetrahedra, and edges with two TiN4 tetrahedra. There are a spread of Li–N bond distances ranging from 2.06–2.28 Å. In the tenth Li1+ site, Li1+ is bonded to four N3- atoms to form distorted LiN4 tetrahedra that share corners with four TiN4 tetrahedra, corners with ten LiN4 tetrahedra, an edgeedge with one TiN4 tetrahedra, and edges with three LiN4 tetrahedra. There are a spread of Li–N bond distances ranging from 2.05–2.28 Å. In the eleventh Li1+ site, Li1+ is bonded to four N3- atoms to form distorted LiN4 tetrahedra that share corners with three TiN4 tetrahedra, corners with thirteen LiN4 tetrahedra, edges with two TiN4 tetrahedra, and edges with three LiN4 tetrahedra. There are a spread of Li–N bond distances ranging from 2.13–2.22 Å. In the twelfth Li1+ site, Li1+ is bonded to four N3- atoms to form distorted LiN4 tetrahedra that share corners with three TiN4 tetrahedra, corners with eleven LiN4 tetrahedra, an edgeedge with one TiN4 tetrahedra, and edges with three LiN4 tetrahedra. There are a spread of Li–N bond distances ranging from 2.05–2.31 Å. In the thirteenth Li1+ site, Li1+ is bonded to four N3- atoms to form LiN4 tetrahedra that share corners with four TiN4 tetrahedra, corners with eight LiN4 tetrahedra, and edges with six LiN4 tetrahedra. There are a spread of Li–N bond distances ranging from 2.07–2.23 Å. In the fourteenth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four N3- atoms. There are a spread of Li–N bond distances ranging from 2.10–2.40 Å. In the fifteenth Li1+ site, Li1+ is bonded to four N3- atoms to form distorted LiN4 tetrahedra that share corners with four TiN4 tetrahedra, corners with seven LiN4 tetrahedra, a cornercorner with one LiN4 trigonal pyramid, edges with two TiN4 tetrahedra, and edges with three LiN4 tetrahedra. There are a spread of Li–N bond distances ranging from 2.10–2.20 Å. In the sixteenth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four N3- atoms. There are a spread of Li–N bond distances ranging from 2.01–2.50 Å. In the seventeenth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four N3- atoms. There are a spread of Li–N bond distances ranging from 2.08–2.43 Å. In the eighteenth Li1+ site, Li1+ is bonded to four N3- atoms to form LiN4 tetrahedra that share corners with two TiN4 tetrahedra, corners with thirteen LiN4 tetrahedra, an edgeedge with one TiN4 tetrahedra, and edges with four LiN4 tetrahedra. There are a spread of Li–N bond distances ranging from 2.13–2.20 Å. In the nineteenth Li1+ site, Li1+ is bonded to four N3- atoms to form distorted LiN4 tetrahedra that share corners with two TiN4 tetrahedra, corners with eleven LiN4 tetrahedra, edges with two TiN4 tetrahedra, and edges with four LiN4 tetrahedra. There are a spread of Li–N bond distances ranging from 2.06–2.24 Å. In the twentieth Li1+ site, Li1+ is bonded to four N3- atoms to form distorted LiN4 tetrahedra that share corners with two TiN4 tetrahedra, corners with eleven LiN4 tetrahedra, edges with two TiN4 tetrahedra, and edges with four LiN4 tetrahedra. There are a spread of Li–N bond distances ranging from 2.01–2.27 Å. In the twenty-first Li1+ site, Li1+ is bonded to four N3- atoms to form distorted LiN4 tetrahedra that share corners with three TiN4 tetrahedra, corners with twelve LiN4 tetrahedra, an edgeedge with one TiN4 tetrahedra, and edges with four LiN4 tetrahedra. There are a spread of Li–N bond distances ranging from 2.12–2.19 Å. In the twenty-second Li1+ site, Li1+ is bonded to four N3- atoms to form distorted LiN4 tetrahedra that share corners with two TiN4 tetrahedra, corners with thirteen LiN4 tetrahedra, an edgeedge with one TiN4 tetrahedra, and edges with three LiN4 tetrahedra. There are a spread of Li–N bond distances ranging from 2.02–2.26 Å. In the twenty-third Li1+ site, Li1+ is bonded to four N3- atoms to form distorted LiN4 tetrahedra that share corners with four TiN4 tetrahedra, corners with nine LiN4 tetrahedra, an edgeedge with one TiN4 tetrahedra, edges with three LiN4 tetrahedra, and an edgeedge with one LiN4 trigonal pyramid. There are a spread of Li–N bond distances ranging from 2.02–2.32 Å. In the twenty-fourth Li1+ site, Li1+ is bonded to four N3- atoms to form distorted LiN4 tetrahedra that share corners with three TiN4 tetrahedra, corners with ten LiN4 tetrahedra, a cornercorner with one LiN4 trigonal pyramid, an edgeedge with one TiN4 tetrahedra, and edges with five LiN4 tetrahedra. There are a spread of Li–N bond distances ranging from 2.12–2.31 Å. In the twenty-fifth Li1+ site, Li1+ is bonded to four N3- atoms to form distorted LiN4 tetrahedra that share a cornercorner with one TiN4 tetrahedra, corners with fourteen LiN4 tetrahedra, edges with two LiN4 tetrahedra, and edges with two TiN4 tetrahedra. There are a spread of Li–N bond distances ranging from 2.09–2.25 Å. In the twenty-sixth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four N3- atoms. There are a spread of Li–N bond distances ranging from 2.02–2.46 Å. In the twenty-seventh Li1+ site, Li1+ is bonded to four N3- atoms to form LiN4 tetrahedra that share corners with two TiN4 tetrahedra, corners with ten LiN4 tetrahedra, an edgeedge with one TiN4 tetrahedra, edges with four LiN4 tetrahedra, and an edgeedge with one LiN4 trigonal pyramid. There are a spread of Li–N bond distances ranging from 2.09–2.16 Å. In the twenty-eighth Li1+ site, Li1+ is bonded to four N3- atoms to form distorted LiN4 tetrahedra that share corners with three TiN4 tetrahedra, corners with eleven LiN4 tetrahedra, a cornercorner with one LiN4 trigonal pyramid, an edgeedge with one TiN4 tetrahedra, and edges with four LiN4 tetrahedra. There are a spread of Li–N bond distances ranging from 2.10–2.31 Å. In the twenty-ninth Li1+ site, Li1+ is bonded to four N3- atoms to form distorted LiN4 tetrahedra that share corners with two TiN4 tetrahedra, corners with twelve LiN4 tetrahedra, edges with two TiN4 tetrahedra, and edges with three LiN4 tetrahedra. There are a spread of Li–N bond distances ranging from 2.05–2.31 Å. In the thirtieth Li1+ site, Li1+ is bonded to four N3- atoms to form LiN4 tetrahedra that share corners with three TiN4 tetrahedra, corners with thirteen LiN4 tetrahedra, and edges with three LiN4 tetrahedra. There are a spread of Li–N bond distances ranging from 2.05–2.26 Å. In the thirty-first Li1+ site, Li1+ is bonded to four N3- atoms to form LiN4 tetrahedra that share corners with three TiN4 tetrahedra, corners with nine LiN4 tetrahedra, a cornercorner with one LiN4 trigonal pyramid, and edges with four LiN4 tetrahedra. There are a spread of Li–N bond distances ranging from 2.04–2.25 Å. In the thirty-second Li1+ site, Li1+ is bonded to four N3- atoms to form distorted LiN4 tetrahedra that share corners with three TiN4 tetrahedra, corners with eleven LiN4 tetrahedra, a cornercorner with one LiN4 trigonal pyramid, and edges with three LiN4 tetrahedra. There are a spread of Li–N bond distances ranging from 2.05–2.28 Å. In the thirty-third Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four N3- atoms. There are a spread of Li–N bond distances ranging from 2.02–2.25 Å. In the thirty-fourth Li1+ site, Li1+ is bonded to four N3- atoms to form LiN4 tetrahedra that share corners with three TiN4 tetrahedra, corners with nine LiN4 tetrahedra, a cornercorner with one LiN4 trigonal pyramid, an edgeedge with one TiN4 tetrahedra, and edges with four LiN4 tetrahedra. There are a spread of Li–N bond distances ranging from 2.12–2.17 Å. In the thirty-fifth Li1+ site, Li1+ is bonded to four N3- atoms to form LiN4 tetrahedra that share corners with three TiN4 tetrahedra, corners with ten LiN4 tetrahedra, an edgeedge with one TiN4 tetrahedra, and edges with five LiN4 tetrahedra. There are a spread of Li–N bond distances ranging from 2.13–2.19 Å. In the thirty-sixth Li1+ site, Li1+ is bonded to four N3- atoms to form distorted LiN4 trigonal pyramids that share corners with two TiN4 tetrahedra, corners with eleven LiN4 tetrahedra, edges with two TiN4 tetrahedra, and edges with three LiN4 tetrahedra. There are a spread of Li–N bond distances ranging from 2.11–2.33 Å. In the thirty-seventh Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four N3- atoms. There are a spread of Li–N bond distances ranging from 1.97–2.36 Å. In the thirty-eighth Li1+ site, Li1+ is bonded to four N3- atoms to form distorted LiN4 tetrahedra that share corners with three TiN4 tetrahedra, corners with twelve LiN4 tetrahedra, edges with two TiN4 tetrahedra, and edges with three LiN4 tetrahedra. There are a spread of Li–N bond distances ranging from 2.11–2.27 Å. In the thirty-ninth Li1+ site, Li1+ is bonded to four N3- atoms to form distorted LiN4 tetrahedra that share corners with two TiN4 tetrahedra, corners with eleven LiN4 tetrahedra, a cornercorner with one LiN4 trigonal pyramid, edges with two TiN4 tetrahedra, and edges with three LiN4 tetrahedra. There are a spread of Li–N bond distances ranging from 2.03–2.29 Å. In the fortieth Li1+ site, Li1+ is bonded to four N3- atoms to form distorted LiN4 tetrahedra that share corners with two TiN4 tetrahedra, corners with ten LiN4 tetrahedra, an edgeedge with one TiN4 tetrahedra, and edges with five LiN4 tetrahedra. There are a spread of Li–N bond distances ranging from 1.98–2.35 Å. In the forty-first Li1+ site, Li1+ is bonded to four N3- atoms to form distorted LiN4 tetrahedra that share corners with two TiN4 tetrahedra, corners wi

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Li10Sn(PS6)2 by Materials Project

Li10SnP2S12 is Aluminum carbonitride-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twenty inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six S2- atoms. There are a spread of Li–S bond distances ranging from 2.54–3.21 Å. In the second Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six S2- atoms. There are a spread of Li–S bond distances ranging from 2.51–3.13 Å. In the third Li1+ site, Li1+ is bonded to six S2- atoms to form distorted LiS6 octahedra that share a cornercorner with one LiS6 octahedra, corners with two equivalent PS4 tetrahedra, corners with three LiS4 tetrahedra, corners with two equivalent LiS5 trigonal bipyramids, an edgeedge with one SnS4 tetrahedra, an edgeedge with one PS4 tetrahedra, and edges with three LiS4 tetrahedra. The corner-sharing octahedral tilt angles are 51°. There are a spread of Li–S bond distances ranging from 2.56–3.09 Å. In the fourth Li1+ site, Li1+ is bonded to six S2- atoms to form LiS6 octahedra that share corners with two equivalent PS4 tetrahedra, corners with four LiS4 tetrahedra, an edgeedge with one LiS6 octahedra, an edgeedge with one SnS4 tetrahedra, an edgeedge with one PS4 tetrahedra, edges with four LiS4 tetrahedra, and an edgeedge with one LiS5 trigonal bipyramid. There are a spread of Li–S bond distances ranging from 2.57–2.84 Å. In the fifth Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share corners with two equivalent LiS6 octahedra, corners with two equivalent LiS4 tetrahedra, corners with two PS4 tetrahedra, an edgeedge with one LiS6 octahedra, an edgeedge with one LiS4 tetrahedra, an edgeedge with one SnS4 tetrahedra, and an edgeedge with one LiS5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 21–63°. There are a spread of Li–S bond distances ranging from 2.37–2.55 Å. In the sixth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to five S2- atoms. There are a spread of Li–S bond distances ranging from 2.54–3.27 Å. In the seventh Li1+ site, Li1+ is bonded to four S2- atoms to form distorted LiS4 tetrahedra that share a cornercorner with one LiS6 octahedra, corners with two PS4 tetrahedra, corners with four LiS4 tetrahedra, corners with two LiS5 trigonal bipyramids, an edgeedge with one LiS6 octahedra, and an edgeedge with one SnS4 tetrahedra. The corner-sharing octahedral tilt angles are 46°. There are a spread of Li–S bond distances ranging from 2.42–2.58 Å. In the eighth Li1+ site, Li1+ is bonded to six S2- atoms to form distorted LiS6 octahedra that share a cornercorner with one LiS6 octahedra, corners with two PS4 tetrahedra, corners with six LiS4 tetrahedra, an edgeedge with one LiS6 octahedra, an edgeedge with one LiS4 tetrahedra, an edgeedge with one SnS4 tetrahedra, and an edgeedge with one PS4 tetrahedra. The corner-sharing octahedral tilt angles are 51°. There are a spread of Li–S bond distances ranging from 2.55–3.14 Å. In the ninth Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share corners with two LiS6 octahedra, a cornercorner with one SnS4 tetrahedra, a cornercorner with one PS4 tetrahedra, corners with two equivalent LiS4 tetrahedra, an edgeedge with one LiS4 tetrahedra, and an edgeedge with one PS4 tetrahedra. The corner-sharing octahedra tilt angles range from 45–71°. There are a spread of Li–S bond distances ranging from 2.40–2.52 Å. In the tenth Li1+ site, Li1+ is bonded to five S2- atoms to form LiS5 trigonal bipyramids that share corners with two equivalent LiS6 octahedra, a cornercorner with one PS4 tetrahedra, corners with two equivalent SnS4 tetrahedra, corners with four LiS4 tetrahedra, a cornercorner with one LiS5 trigonal bipyramid, an edgeedge with one PS4 tetrahedra, and edges with two LiS4 tetrahedra. The corner-sharing octahedra tilt angles range from 31–37°. There are a spread of Li–S bond distances ranging from 2.46–2.92 Å. In the eleventh Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share corners with four LiS6 octahedra, a cornercorner with one SnS4 tetrahedra, a cornercorner with one PS4 tetrahedra, corners with two equivalent LiS4 tetrahedra, an edgeedge with one LiS4 tetrahedra, and an edgeedge with one PS4 tetrahedra. The corner-sharing octahedra tilt angles range from 11–68°. There are a spread of Li–S bond distances ranging from 2.39–2.63 Å. In the twelfth Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share corners with two LiS6 octahedra, corners with two PS4 tetrahedra, corners with four LiS4 tetrahedra, a cornercorner with one LiS5 trigonal bipyramid, an edgeedge with one SnS4 tetrahedra, and an edgeedge with one LiS5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 53–72°. There are a spread of Li–S bond distances ranging from 2.51–2.67 Å. In the thirteenth Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share corners with two SnS4 tetrahedra, corners with three LiS4 tetrahedra, corners with three LiS5 trigonal bipyramids, edges with two LiS6 octahedra, and an edgeedge with one PS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.44–2.54 Å. In the fourteenth Li1+ site, Li1+ is bonded to four S2- atoms to form distorted LiS4 tetrahedra that share corners with two equivalent LiS4 tetrahedra, corners with two PS4 tetrahedra, corners with two equivalent LiS5 trigonal bipyramids, an edgeedge with one LiS6 octahedra, an edgeedge with one LiS4 tetrahedra, and an edgeedge with one SnS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.43–2.64 Å. In the fifteenth Li1+ site, Li1+ is bonded to four S2- atoms to form distorted LiS4 tetrahedra that share a cornercorner with one SnS4 tetrahedra, a cornercorner with one PS4 tetrahedra, corners with two equivalent LiS4 tetrahedra, a cornercorner with one LiS5 trigonal bipyramid, an edgeedge with one LiS6 octahedra, and an edgeedge with one PS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.41–2.48 Å. In the sixteenth Li1+ site, Li1+ is bonded to five S2- atoms to form distorted LiS5 trigonal bipyramids that share a cornercorner with one PS4 tetrahedra, corners with two SnS4 tetrahedra, corners with seven LiS4 tetrahedra, a cornercorner with one LiS5 trigonal bipyramid, an edgeedge with one LiS6 octahedra, an edgeedge with one LiS4 tetrahedra, and an edgeedge with one PS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.46–2.96 Å. In the seventeenth Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share corners with two equivalent LiS6 octahedra, corners with two SnS4 tetrahedra, corners with four LiS4 tetrahedra, a cornercorner with one LiS5 trigonal bipyramid, an edgeedge with one LiS6 octahedra, and an edgeedge with one PS4 tetrahedra. The corner-sharing octahedra tilt angles range from 22–28°. There are a spread of Li–S bond distances ranging from 2.43–2.57 Å. In the eighteenth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four S2- atoms. There are a spread of Li–S bond distances ranging from 2.45–2.67 Å. In the nineteenth Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five S2- atoms. There are a spread of Li–S bond distances ranging from 2.44–3.00 Å. In the twentieth Li1+ site, Li1+ is bonded to four S2- atoms to form distorted LiS4 tetrahedra that share a cornercorner with one SnS4 tetrahedra, a cornercorner with one PS4 tetrahedra, corners with three LiS4 tetrahedra, a cornercorner with one LiS5 trigonal bipyramid, an edgeedge with one LiS6 octahedra, an edgeedge with one PS4 tetrahedra, and an edgeedge with one LiS5 trigonal bipyramid. There are a spread of Li–S bond distances ranging from 2.51–2.60 Å. There are two inequivalent Sn4+ sites. In the first Sn4+ site, Sn4+ is bonded to four S2- atoms to form SnS4 tetrahedra that share corners with four LiS4 tetrahedra, a cornercorner with one LiS5 trigonal bipyramid, an edgeedge with one LiS6 octahedra, and edges with two LiS4 tetrahedra. There are a spread of Sn–S bond distances ranging from 2.39–2.42 Å. In the second Sn4+ site, Sn4+ is bonded to four S2- atoms to form SnS4 tetrahedra that share corners with four LiS4 tetrahedra, corners with three LiS5 trigonal bipyramids, edges with two LiS6 octahedra, and edges with two LiS4 tetrahedra. There are a spread of Sn–S bond distances ranging from 2.39–2.44 Å. There are four inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four S2- atoms to form PS4 tetrahedra that share corners with three LiS6 octahedra and corners with five LiS4 tetrahedra. The corner-sharing octahedra tilt angles range from 45–54°. There are a spread of P–S bond distances ranging from 2.04–2.08 Å. In the second P5+ site, P5+ is bonded to four S2- atoms to form PS4 tetrahedra that share corners with three LiS6 octahedra, corners with three LiS4 tetrahedra, edges with two LiS4 tetrahedra, and edges with two LiS5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 27–57°. There are a spread of P–S bond distances ranging from 2.05–2.07 Å. In the third P5+ site, P5+ is bonded to four S2- atoms to form PS4 tetrahedra that share corners with two LiS4 tetrahedra, corners with two LiS5 trigonal bipyramids, and edges with two LiS4 tetrahedra. There are three shorter (2.06 Å) and one longer (2.08 Å) P–S bond lengths. In the fourth P5+ site, P5+ is bonded to four S2- atoms to form PS4 tetrahedra that share corners with two LiS4 tetrahedra, edges with three LiS6 octahedra, and edges with two LiS4 tetrahedra. There are three shorter (2.06 Å) and one longer (2.07 Å) P–S bond lengths. There are twenty-four inequivalent S2- sites. In the first S2- site, S2- is bonded in a 3-coordinate geometry to four Li1+ and one P5+ atom. In the second S2- site, S2- is bonded to four Li1+ and one P5+ atom to form distorted SLi4P square pyramids that share corners with three SLi4P trigonal bipyramids, corners with two SLi3P trigonal pyramids, an edgeedge with one SLi4Sn square pyramid, and edges with two SLi4P trigonal bipyramids. In the third S2- site, S2- is bonded to four Li1+ and one P5+ atom to form distorted SLi4P trigonal bipyramids that share a cornercorner with one SLi4Sn trigonal bipyramid and a cornercorner with one SLi3P trigonal pyramid. In the fourth S2- site, S2- is bonded in a 5-coordinate geometry to four Li1+ and one P5+ atom. In the fifth S2- site, S2- is bonded in a 6-coordinate geometry to five Li1+ and one P5+ atom. In the sixth S2- site, S2- is bonded in a 5-coordinate geometry to four Li1+ and one P5+ atom. In the seventh S2- site, S2- is bonded to four Li1+ and one P5+ atom to form distorted SLi4P trigonal bipyramids that share corners with four SLi3P trigonal pyramids, an edgeedge with one SLi4P square pyramid, and edges with two SLi4P trigonal bipyramids. In the eighth S2- site, S2- is bonded to three Li1+ and one P5+ atom to form distorted SLi3P trigonal pyramids that share a cornercorner with one SLi4P square pyramid, corners with three SLi4P trigonal bipyramids, corners with four SLi3P trigonal pyramids, and an edgeedge with one SLi4Sn trigonal bipyramid. In the ninth S2- site, S2- is bonded in a 5-coordinate geometry to four Li1+ and one Sn4+ atom. In the tenth S2- site, S2- is bonded in a 5-coordinate geometry to four Li1+ and one Sn4+ atom. In the eleventh S2- site, S2- is bonded in a 5-coordinate geometry to four Li1+ and one P5+ atom. In the twelfth S2- site, S2- is bonded to three Li1+ and one P5+ atom to form SLi3P trigonal pyramids that share corners with two SLi4Sn square pyramids, a cornercorner with one SLi4Sn trigonal bipyramid, corners with two equivalent SLi3P trigonal pyramids, and an edgeedge with one SLi3P trigonal pyramid. In the thirteenth S2- site, S2- is bonded to four Li1+ and one P5+ atom to form distorted SLi4P trig

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Na2CdO2 by Materials Project

Na2CdO2 is Ilmenite-like structured and crystallizes in the monoclinic C2 space group. The structure is three-dimensional. there are eight inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded to four O2- atoms to form distorted NaO4 tetrahedra that share corners with two NaO4 tetrahedra, corners with two CdO4 trigonal pyramids, corners with six NaO4 trigonal pyramids, an edgeedge with one NaO4 tetrahedra, an edgeedge with one CdO4 tetrahedra, and edges with two equivalent NaO4 trigonal pyramids. There are a spread of Na–O bond distances ranging from 2.31–2.50 Å. In the second Na1+ site, Na1+ is bonded to four O2- atoms to form distorted NaO4 trigonal pyramids that share corners with two equivalent NaO4 tetrahedra, corners with two CdO4 tetrahedra, corners with two equivalent CdO4 trigonal pyramids, corners with five NaO4 trigonal pyramids, an edgeedge with one NaO4 tetrahedra, an edgeedge with one CdO4 tetrahedra, and edges with two equivalent NaO4 trigonal pyramids. There are a spread of Na–O bond distances ranging from 2.27–2.48 Å. In the third Na1+ site, Na1+ is bonded to four O2- atoms to form NaO4 trigonal pyramids that share corners with two equivalent NaO4 tetrahedra, corners with two CdO4 tetrahedra, corners with two equivalent CdO4 trigonal pyramids, corners with five NaO4 trigonal pyramids, an edgeedge with one CdO4 tetrahedra, an edgeedge with one CdO4 trigonal pyramid, and edges with two NaO4 trigonal pyramids. There are a spread of Na–O bond distances ranging from 2.32–2.44 Å. In the fourth Na1+ site, Na1+ is bonded to four O2- atoms to form distorted NaO4 tetrahedra that share corners with two NaO4 tetrahedra, corners with four CdO4 tetrahedra, corners with two CdO4 trigonal pyramids, corners with four NaO4 trigonal pyramids, an edgeedge with one NaO4 tetrahedra, and edges with two NaO4 trigonal pyramids. There are a spread of Na–O bond distances ranging from 2.25–2.52 Å. In the fifth Na1+ site, Na1+ is bonded to four O2- atoms to form NaO4 trigonal pyramids that share corners with two NaO4 tetrahedra, corners with four CdO4 tetrahedra, corners with two CdO4 trigonal pyramids, corners with four NaO4 trigonal pyramids, an edgeedge with one CdO4 trigonal pyramid, and edges with three NaO4 trigonal pyramids. There are a spread of Na–O bond distances ranging from 2.35–2.40 Å. In the sixth Na1+ site, Na1+ is bonded to four O2- atoms to form distorted NaO4 trigonal pyramids that share corners with two NaO4 tetrahedra, corners with two CdO4 trigonal pyramids, corners with six NaO4 trigonal pyramids, an edgeedge with one NaO4 tetrahedra, and edges with three CdO4 tetrahedra. There are a spread of Na–O bond distances ranging from 2.25–2.51 Å. In the seventh Na1+ site, Na1+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Na–O bond distances ranging from 2.27–2.48 Å. In the eighth Na1+ site, Na1+ is bonded to four O2- atoms to form distorted NaO4 trigonal pyramids that share corners with two equivalent NaO4 tetrahedra, corners with two CdO4 tetrahedra, corners with two equivalent CdO4 trigonal pyramids, corners with five NaO4 trigonal pyramids, edges with two equivalent NaO4 tetrahedra, an edgeedge with one NaO4 trigonal pyramid, and an edgeedge with one CdO4 trigonal pyramid. There are a spread of Na–O bond distances ranging from 2.28–2.42 Å. There are four inequivalent Cd2+ sites. In the first Cd2+ site, Cd2+ is bonded to four O2- atoms to form distorted CdO4 trigonal pyramids that share corners with two NaO4 tetrahedra, corners with four CdO4 tetrahedra, corners with two CdO4 trigonal pyramids, corners with four NaO4 trigonal pyramids, an edgeedge with one NaO4 trigonal pyramid, and an edgeedge with one CdO4 trigonal pyramid. There are a spread of Cd–O bond distances ranging from 2.20–2.46 Å. In the second Cd2+ site, Cd2+ is bonded to four O2- atoms to form CdO4 tetrahedra that share corners with two equivalent NaO4 tetrahedra, corners with two CdO4 tetrahedra, corners with two equivalent CdO4 trigonal pyramids, corners with five NaO4 trigonal pyramids, an edgeedge with one CdO4 trigonal pyramid, and edges with three NaO4 trigonal pyramids. There are a spread of Cd–O bond distances ranging from 2.23–2.35 Å. In the third Cd2+ site, Cd2+ is bonded to four O2- atoms to form CdO4 tetrahedra that share corners with two equivalent NaO4 tetrahedra, corners with two CdO4 tetrahedra, corners with two equivalent CdO4 trigonal pyramids, corners with five NaO4 trigonal pyramids, an edgeedge with one NaO4 tetrahedra, and edges with two NaO4 trigonal pyramids. There are a spread of Cd–O bond distances ranging from 2.20–2.40 Å. In the fourth Cd2+ site, Cd2+ is bonded to four O2- atoms to form CdO4 trigonal pyramids that share corners with two NaO4 tetrahedra, corners with two CdO4 trigonal pyramids, corners with six NaO4 trigonal pyramids, an edgeedge with one CdO4 tetrahedra, an edgeedge with one CdO4 trigonal pyramid, and edges with two NaO4 trigonal pyramids. There are a spread of Cd–O bond distances ranging from 2.16–2.37 Å. There are ten inequivalent O2- sites. In the first O2- site, O2- is bonded to five Na1+ and one Cd2+ atom to form a mixture of distorted edge and corner-sharing ONa5Cd octahedra. The corner-sharing octahedra tilt angles range from 51–54°. In the second O2- site, O2- is bonded to four Na1+ and two Cd2+ atoms to form ONa4Cd2 octahedra that share corners with five ONa5Cd octahedra, a cornercorner with one ONa3Cd3 pentagonal pyramid, edges with five ONa5Cd octahedra, and an edgeedge with one ONa3Cd3 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 51–57°. In the third O2- site, O2- is bonded to four Na1+ and two equivalent Cd2+ atoms to form distorted ONa4Cd2 octahedra that share corners with four ONa4Cd2 octahedra, corners with two equivalent ONa3Cd3 pentagonal pyramids, and edges with six ONa5Cd octahedra. The corner-sharing octahedra tilt angles range from 57–62°. In the fourth O2- site, O2- is bonded to six Na1+ atoms to form distorted ONa6 octahedra that share corners with four ONa4Cd2 octahedra, corners with two equivalent ONa3Cd3 pentagonal pyramids, and edges with six ONa5Cd octahedra. The corner-sharing octahedra tilt angles range from 54–58°. In the fifth O2- site, O2- is bonded to five Na1+ and one Cd2+ atom to form distorted ONa5Cd octahedra that share corners with six ONa5Cd octahedra, edges with four ONa4Cd2 octahedra, and edges with two equivalent ONa3Cd3 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 51–55°. In the sixth O2- site, O2- is bonded to three Na1+ and three Cd2+ atoms to form distorted ONa3Cd3 octahedra that share corners with four ONa4Cd2 octahedra, corners with two equivalent ONa3Cd3 pentagonal pyramids, and edges with six ONa5Cd octahedra. The corner-sharing octahedra tilt angles range from 54–62°. In the seventh O2- site, O2- is bonded to three Na1+ and three Cd2+ atoms to form a mixture of distorted edge and corner-sharing ONa3Cd3 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 52–58°. In the eighth O2- site, O2- is bonded to four Na1+ and two Cd2+ atoms to form ONa4Cd2 octahedra that share corners with five ONa5Cd octahedra, a cornercorner with one ONa3Cd3 pentagonal pyramid, edges with five ONa5Cd octahedra, and an edgeedge with one ONa3Cd3 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 51–58°. In the ninth O2- site, O2- is bonded to four Na1+ and two equivalent Cd2+ atoms to form distorted ONa4Cd2 octahedra that share corners with six ONa5Cd octahedra, edges with four ONa4Cd2 octahedra, and edges with two equivalent ONa3Cd3 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 51–56°. In the tenth O2- site, O2- is bonded to two equivalent Na1+ and four Cd2+ atoms to form distorted ONa2Cd4 octahedra that share corners with six ONa5Cd octahedra, edges with four ONa4Cd2 octahedra, and edges with two equivalent ONa3Cd3 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 51–58°.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Li2VO2F by Materials Project

Li2VO2F is Caswellsilverite-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to three O2- and three F1- atoms to form distorted LiO3F3 octahedra that share corners with three equivalent LiO4F2 octahedra, corners with three equivalent VO5F octahedra, edges with three VO6 octahedra, and edges with nine LiO4F2 octahedra. The corner-sharing octahedra tilt angles range from 1–10°. There are a spread of Li–O bond distances ranging from 1.91–2.44 Å. There are a spread of Li–F bond distances ranging from 2.00–2.29 Å. In the second Li1+ site, Li1+ is bonded to four O2- and two F1- atoms to form distorted LiO4F2 octahedra that share corners with three equivalent LiO4F2 octahedra, corners with three equivalent VO6 octahedra, edges with three VO5F octahedra, and edges with nine LiO3F3 octahedra. The corner-sharing octahedra tilt angles range from 1–13°. There are a spread of Li–O bond distances ranging from 1.93–2.42 Å. Both Li–F bond lengths are 2.09 Å. In the third Li1+ site, Li1+ is bonded to three O2- and three F1- atoms to form distorted LiO3F3 octahedra that share corners with three equivalent LiO4F2 octahedra, corners with three equivalent VO5F octahedra, edges with three VO5F octahedra, and edges with nine LiO3F3 octahedra. The corner-sharing octahedra tilt angles range from 1–10°. There are a spread of Li–O bond distances ranging from 1.91–2.44 Å. There are a spread of Li–F bond distances ranging from 2.00–2.28 Å. In the fourth Li1+ site, Li1+ is bonded to two O2- and four F1- atoms to form LiO2F4 octahedra that share corners with three equivalent LiO3F3 octahedra, corners with three equivalent VO5F octahedra, edges with three VO5F octahedra, and edges with nine LiO3F3 octahedra. The corner-sharing octahedra tilt angles range from 1–9°. Both Li–O bond lengths are 2.30 Å. There are a spread of Li–F bond distances ranging from 1.99–2.28 Å. In the fifth Li1+ site, Li1+ is bonded to three O2- and three F1- atoms to form LiO3F3 octahedra that share corners with three equivalent LiO2F4 octahedra, corners with three equivalent VO6 octahedra, edges with three VO5F octahedra, and edges with nine LiO3F3 octahedra. The corner-sharing octahedra tilt angles range from 1–10°. There are a spread of Li–O bond distances ranging from 2.24–2.27 Å. All Li–F bond lengths are 2.07 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- and two F1- atoms to form LiO4F2 octahedra that share corners with three equivalent LiO3F3 octahedra, corners with three equivalent VO5F octahedra, edges with three VO6 octahedra, and edges with nine LiO3F3 octahedra. The corner-sharing octahedra tilt angles range from 1–14°. There are a spread of Li–O bond distances ranging from 1.93–2.36 Å. Both Li–F bond lengths are 2.10 Å. In the seventh Li1+ site, Li1+ is bonded to four O2- and two F1- atoms to form distorted LiO4F2 octahedra that share corners with three equivalent LiO4F2 octahedra, corners with three equivalent VO5F octahedra, edges with three VO5F octahedra, and edges with nine LiO3F3 octahedra. The corner-sharing octahedra tilt angles range from 1–13°. There are a spread of Li–O bond distances ranging from 1.92–2.39 Å. Both Li–F bond lengths are 2.08 Å. In the eighth Li1+ site, Li1+ is bonded to four O2- and two F1- atoms to form LiO4F2 octahedra that share corners with three equivalent LiO3F3 octahedra, corners with three equivalent VO5F octahedra, edges with three VO5F octahedra, and edges with nine LiO4F2 octahedra. The corner-sharing octahedra tilt angles range from 1–13°. There are a spread of Li–O bond distances ranging from 1.93–2.35 Å. Both Li–F bond lengths are 2.10 Å. There are four inequivalent V3+ sites. In the first V3+ site, V3+ is bonded to five O2- and one F1- atom to form VO5F octahedra that share corners with six LiO3F3 octahedra, edges with six LiO4F2 octahedra, and edges with six VO6 octahedra. The corner-sharing octahedra tilt angles range from 5–14°. There are a spread of V–O bond distances ranging from 2.01–2.05 Å. The V–F bond length is 2.17 Å. In the second V3+ site, V3+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six LiO4F2 octahedra, edges with six LiO3F3 octahedra, and edges with six VO5F octahedra. The corner-sharing octahedra tilt angles range from 8–13°. There are a spread of V–O bond distances ranging from 2.05–2.08 Å. In the third V3+ site, V3+ is bonded to five O2- and one F1- atom to form VO5F octahedra that share corners with six LiO3F3 octahedra, edges with six LiO3F3 octahedra, and edges with six VO5F octahedra. The corner-sharing octahedra tilt angles range from 5–13°. There are a spread of V–O bond distances ranging from 2.02–2.04 Å. The V–F bond length is 2.17 Å. In the fourth V3+ site, V3+ is bonded to five O2- and one F1- atom to form VO5F octahedra that share corners with six LiO2F4 octahedra, edges with six LiO3F3 octahedra, and edges with six VO5F octahedra. The corner-sharing octahedra tilt angles range from 4–13°. There are a spread of V–O bond distances ranging from 2.02–2.04 Å. The V–F bond length is 2.20 Å. There are eight inequivalent O2- sites. In the first O2- site, O2- is bonded to three Li1+ and three V3+ atoms to form OLi3V3 octahedra that share corners with six OLi3V3 octahedra, edges with five FLi6 octahedra, and edges with seven OLi3V3 octahedra. The corner-sharing octahedra tilt angles range from 0–10°. In the second O2- site, O2- is bonded to six Li1+ atoms to form OLi6 octahedra that share corners with six OLi3V3 octahedra, edges with five OLi3V3 octahedra, and edges with seven FLi6 octahedra. The corner-sharing octahedra tilt angles range from 5–10°. In the third O2- site, O2- is bonded to three Li1+ and three V3+ atoms to form OLi3V3 octahedra that share corners with three equivalent OLi3V3 octahedra, corners with three equivalent FLi6 octahedra, edges with four FLi6 octahedra, and edges with eight OLi3V3 octahedra. The corner-sharing octahedra tilt angles range from 0–16°. In the fourth O2- site, O2- is bonded to three Li1+ and three V3+ atoms to form OLi3V3 octahedra that share corners with three equivalent OLi3V3 octahedra, corners with three equivalent FLi6 octahedra, edges with three FLi6 octahedra, and edges with nine OLi3V3 octahedra. The corner-sharing octahedra tilt angles range from 0–14°. In the fifth O2- site, O2- is bonded to three Li1+ and three V3+ atoms to form OLi3V3 octahedra that share corners with three equivalent OLi3V3 octahedra, corners with three equivalent FLi6 octahedra, edges with three FLi6 octahedra, and edges with nine OLi6 octahedra. The corner-sharing octahedra tilt angles range from 0–14°. In the sixth O2- site, O2- is bonded to three Li1+ and three V3+ atoms to form OLi3V3 octahedra that share corners with three equivalent OLi3V3 octahedra, corners with three equivalent FLi6 octahedra, edges with three FLi6 octahedra, and edges with nine OLi3V3 octahedra. The corner-sharing octahedra tilt angles range from 0–14°. In the seventh O2- site, O2- is bonded to three Li1+ and three V3+ atoms to form OLi3V3 octahedra that share corners with three equivalent OLi3V3 octahedra, corners with three equivalent FLi6 octahedra, edges with four FLi6 octahedra, and edges with eight OLi3V3 octahedra. The corner-sharing octahedra tilt angles range from 0–16°. In the eighth O2- site, O2- is bonded to three Li1+ and three V3+ atoms to form OLi3V3 octahedra that share corners with three equivalent OLi6 octahedra, corners with three equivalent FLi3V3 octahedra, edges with three FLi6 octahedra, and edges with nine OLi3V3 octahedra. The corner-sharing octahedra tilt angles range from 1–6°. There are four inequivalent F1- sites. In the first F1- site, F1- is bonded to six Li1+ atoms to form FLi6 octahedra that share corners with six OLi3V3 octahedra, edges with five FLi6 octahedra, and edges with seven OLi3V3 octahedra. The corner-sharing octahedra tilt angles range from 8–16°. In the second F1- site, F1- is bonded to six Li1+ atoms to form FLi6 octahedra that share corners with six OLi3V3 octahedra, edges with five FLi6 octahedra, and edges with seven OLi3V3 octahedra. The corner-sharing octahedra tilt angles range from 7–16°. In the third F1- site, F1- is bonded to three Li1+ and three V3+ atoms to form FLi3V3 octahedra that share corners with three equivalent OLi3V3 octahedra, corners with three equivalent FLi6 octahedra, edges with two FLi6 octahedra, and edges with ten OLi3V3 octahedra. The corner-sharing octahedra tilt angles range from 1–12°. In the fourth F1- site, F1- is bonded to six Li1+ atoms to form FLi6 octahedra that share corners with three equivalent OLi3V3 octahedra, corners with three equivalent FLi3V3 octahedra, edges with four FLi6 octahedra, and edges with eight OLi3V3 octahedra. The corner-sharing octahedra tilt angles range from 6–14°.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Li7V4O11F by Materials Project

Li7V4O11F crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are seven inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two VO6 octahedra, corners with three LiO6 octahedra, edges with five VO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–20°. There are a spread of Li–O bond distances ranging from 1.98–2.41 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with two VO5F octahedra, corners with four LiO6 octahedra, edges with five VO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–16°. There are a spread of Li–O bond distances ranging from 1.99–2.63 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two VO6 octahedra, corners with three LiO6 octahedra, edges with five VO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–21°. There are a spread of Li–O bond distances ranging from 2.06–2.19 Å. In the fourth Li1+ site, Li1+ is bonded to five O2- and one F1- atom to form LiO5F octahedra that share corners with two VO6 octahedra, corners with three LiO6 octahedra, edges with five LiO6 octahedra, and edges with five VO5F octahedra. The corner-sharing octahedra tilt angles range from 5–18°. There are a spread of Li–O bond distances ranging from 2.03–2.33 Å. The Li–F bond length is 2.04 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two VO5F octahedra, corners with four LiO6 octahedra, edges with five VO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–27°. There are a spread of Li–O bond distances ranging from 2.06–2.21 Å. In the sixth Li1+ site, Li1+ is bonded to five O2- and one F1- atom to form LiO5F octahedra that share corners with two VO5F octahedra, corners with four LiO6 octahedra, edges with five LiO6 octahedra, and edges with five VO6 octahedra. The corner-sharing octahedra tilt angles range from 6–14°. There are a spread of Li–O bond distances ranging from 2.06–2.21 Å. The Li–F bond length is 1.96 Å. In the seventh Li1+ site, Li1+ is bonded to five O2- and one F1- atom to form distorted LiO5F octahedra that share corners with two VO6 octahedra, corners with three LiO6 octahedra, edges with five LiO6 octahedra, and edges with five VO6 octahedra. The corner-sharing octahedra tilt angles range from 2–27°. There are a spread of Li–O bond distances ranging from 1.97–2.31 Å. The Li–F bond length is 2.54 Å. There are four inequivalent V4+ sites. In the first V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two VO5F octahedra, corners with four LiO6 octahedra, edges with two equivalent VO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 1–18°. There are a spread of V–O bond distances ranging from 1.88–2.10 Å. In the second V4+ site, V4+ is bonded to five O2- and one F1- atom to form VO5F octahedra that share corners with two VO6 octahedra, corners with three LiO6 octahedra, edges with two equivalent VO5F octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–14°. There are a spread of V–O bond distances ranging from 1.86–2.07 Å. The V–F bond length is 2.15 Å. In the third V4+ site, V4+ is bonded to five O2- and one F1- atom to form VO5F octahedra that share corners with two VO5F octahedra, corners with four LiO6 octahedra, edges with two equivalent VO5F octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–21°. There are a spread of V–O bond distances ranging from 1.81–2.05 Å. The V–F bond length is 2.18 Å. In the fourth V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two VO6 octahedra, corners with three LiO6 octahedra, edges with two equivalent VO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 1–12°. There are a spread of V–O bond distances ranging from 1.91–2.06 Å. There are eleven inequivalent O2- sites. In the first O2- site, O2- is bonded to four Li1+ and two V4+ atoms to form OLi4V2 octahedra that share corners with two OLi4V2 octahedra, corners with two OLi3V2 square pyramids, edges with seven OLi4V2 octahedra, and edges with four OLi3V2 square pyramids. The corner-sharing octahedra tilt angles range from 4–10°. In the second O2- site, O2- is bonded to four Li1+ and two V4+ atoms to form OLi4V2 octahedra that share corners with two OLi4V2 octahedra, corners with two OLi3V2 square pyramids, edges with seven OLi4V2 octahedra, edges with two OLi3V2 square pyramids, and an edgeedge with one OLi3V2 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 4–5°. In the third O2- site, O2- is bonded to four Li1+ and two V4+ atoms to form distorted OLi4V2 octahedra that share corners with two OLi4V2 octahedra, corners with two OLi3V2 square pyramids, edges with four OLi4V2 octahedra, edges with three OLi3V2 square pyramids, and edges with two equivalent OLi3V2 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 1–12°. In the fourth O2- site, O2- is bonded to four Li1+ and two V4+ atoms to form distorted OLi4V2 octahedra that share corners with three OLi4V2 octahedra, corners with two OLi3V2 square pyramids, a cornercorner with one OLi3V2 trigonal bipyramid, edges with seven OLi4V2 octahedra, and edges with three OLi3V2 square pyramids. The corner-sharing octahedra tilt angles range from 1–10°. In the fifth O2- site, O2- is bonded in a 5-coordinate geometry to four Li1+ and two V4+ atoms. In the sixth O2- site, O2- is bonded to three Li1+ and two V4+ atoms to form OLi3V2 square pyramids that share corners with three OLi4V2 octahedra, corners with three OLi3V2 square pyramids, corners with two equivalent OLi3V2 trigonal bipyramids, edges with four OLi4V2 octahedra, and an edgeedge with one OLi3V2 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 2–8°. In the seventh O2- site, O2- is bonded to three Li1+ and two V4+ atoms to form OLi3V2 square pyramids that share corners with three OLi4V2 octahedra, corners with five OLi3V2 square pyramids, edges with four OLi4V2 octahedra, edges with two OLi3V2 square pyramids, and an edgeedge with one OLi3V2 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 6–17°. In the eighth O2- site, O2- is bonded to three Li1+ and two V4+ atoms to form distorted OLi3V2 trigonal bipyramids that share corners with two OLi4V2 octahedra, corners with four OLi3V2 square pyramids, edges with three OLi4V2 octahedra, and edges with three OLi3V2 square pyramids. The corner-sharing octahedra tilt angles range from 16–21°. In the ninth O2- site, O2- is bonded to three Li1+ and two V4+ atoms to form distorted OLi3V2 square pyramids that share corners with two OLi4V2 octahedra, corners with five OLi3V2 square pyramids, a cornercorner with one OLi3V2 trigonal bipyramid, edges with three OLi4V2 octahedra, edges with two OLi3V2 square pyramids, and an edgeedge with one OLi3V2 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 4–7°. In the tenth O2- site, O2- is bonded to four Li1+ and two V4+ atoms to form OLi4V2 octahedra that share corners with three OLi4V2 octahedra, corners with two OLi3V2 square pyramids, a cornercorner with one OLi3V2 trigonal bipyramid, edges with five OLi4V2 octahedra, and edges with five OLi3V2 square pyramids. The corner-sharing octahedra tilt angles range from 4–12°. In the eleventh O2- site, O2- is bonded to three Li1+ and two V4+ atoms to form OLi3V2 square pyramids that share corners with two OLi4V2 octahedra, corners with three OLi3V2 square pyramids, a cornercorner with one OLi3V2 trigonal bipyramid, edges with six OLi4V2 octahedra, and edges with two OLi3V2 square pyramids. The corner-sharing octahedra tilt angles range from 4–6°. F1- is bonded in a 5-coordinate geometry to three Li1+ and two V4+ atoms.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Li3Sb17S27 by Materials Project

Li3Sb17S27 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are three inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six S2- atoms to form LiS6 octahedra that share a cornercorner with one SbS6 octahedra, corners with four SbS5 square pyramids, edges with two LiS6 octahedra, and edges with six SbS5 square pyramids. The corner-sharing octahedral tilt angles are 42°. There are a spread of Li–S bond distances ranging from 2.53–2.86 Å. In the second Li1+ site, Li1+ is bonded to six S2- atoms to form LiS6 octahedra that share corners with two SbS6 octahedra, corners with four SbS5 square pyramids, edges with two LiS6 octahedra, and edges with six SbS5 square pyramids. The corner-sharing octahedra tilt angles range from 43–48°. There are a spread of Li–S bond distances ranging from 2.48–2.82 Å. In the third Li1+ site, Li1+ is bonded to six S2- atoms to form LiS6 octahedra that share corners with two SbS6 octahedra, corners with four SbS5 square pyramids, edges with two LiS6 octahedra, and edges with six SbS5 square pyramids. The corner-sharing octahedra tilt angles range from 44–48°. There are a spread of Li–S bond distances ranging from 2.48–2.83 Å. There are seventeen inequivalent Sb3+ sites. In the first Sb3+ site, Sb3+ is bonded to five S2- atoms to form distorted SbS5 square pyramids that share corners with seven SbS6 octahedra, edges with four SbS6 octahedra, and an edgeedge with one SbS5 square pyramid. The corner-sharing octahedra tilt angles range from 5–89°. There are a spread of Sb–S bond distances ranging from 2.50–3.09 Å. In the second Sb3+ site, Sb3+ is bonded to five S2- atoms to form distorted SbS5 square pyramids that share a cornercorner with one SbS6 octahedra, corners with two LiS6 octahedra, edges with three LiS6 octahedra, and edges with four SbS5 square pyramids. The corner-sharing octahedra tilt angles range from 15–69°. There are a spread of Sb–S bond distances ranging from 2.50–3.09 Å. In the third Sb3+ site, Sb3+ is bonded to six S2- atoms to form SbS6 octahedra that share a cornercorner with one LiS6 octahedra, corners with two SbS6 octahedra, corners with three SbS5 square pyramids, edges with four SbS6 octahedra, and edges with two SbS5 square pyramids. The corner-sharing octahedra tilt angles range from 6–48°. There are a spread of Sb–S bond distances ranging from 2.49–3.15 Å. In the fourth Sb3+ site, Sb3+ is bonded to five S2- atoms to form SbS5 square pyramids that share corners with two LiS6 octahedra, corners with two SbS6 octahedra, edges with three LiS6 octahedra, and edges with four SbS5 square pyramids. The corner-sharing octahedra tilt angles range from 12–70°. There are a spread of Sb–S bond distances ranging from 2.48–2.89 Å. In the fifth Sb3+ site, Sb3+ is bonded to six S2- atoms to form SbS6 octahedra that share corners with three SbS6 octahedra, corners with two equivalent SbS5 square pyramids, edges with seven SbS6 octahedra, and an edgeedge with one SbS5 square pyramid. The corner-sharing octahedra tilt angles range from 2–5°. There are a spread of Sb–S bond distances ranging from 2.60–3.15 Å. In the sixth Sb3+ site, Sb3+ is bonded to five S2- atoms to form distorted SbS5 square pyramids that share a cornercorner with one SbS6 octahedra, corners with two LiS6 octahedra, edges with three LiS6 octahedra, and edges with four SbS5 square pyramids. The corner-sharing octahedra tilt angles range from 15–70°. There are a spread of Sb–S bond distances ranging from 2.51–3.07 Å. In the seventh Sb3+ site, Sb3+ is bonded to five S2- atoms to form distorted SbS5 square pyramids that share corners with seven SbS6 octahedra, edges with four SbS6 octahedra, and an edgeedge with one SbS5 square pyramid. The corner-sharing octahedra tilt angles range from 3–89°. There are a spread of Sb–S bond distances ranging from 2.50–3.07 Å. In the eighth Sb3+ site, Sb3+ is bonded to six S2- atoms to form SbS6 octahedra that share a cornercorner with one LiS6 octahedra, corners with two SbS6 octahedra, corners with three SbS5 square pyramids, edges with four SbS6 octahedra, and edges with two SbS5 square pyramids. The corner-sharing octahedra tilt angles range from 5–48°. There are a spread of Sb–S bond distances ranging from 2.48–3.15 Å. In the ninth Sb3+ site, Sb3+ is bonded to six S2- atoms to form SbS6 octahedra that share a cornercorner with one LiS6 octahedra, corners with two SbS6 octahedra, corners with four SbS5 square pyramids, and edges with five SbS6 octahedra. The corner-sharing octahedra tilt angles range from 4–43°. There are a spread of Sb–S bond distances ranging from 2.64–2.93 Å. In the tenth Sb3+ site, Sb3+ is bonded to six S2- atoms to form distorted SbS6 octahedra that share corners with two SbS6 octahedra, corners with four SbS5 square pyramids, and edges with eight SbS6 octahedra. The corner-sharing octahedral tilt angles are 4°. There are a spread of Sb–S bond distances ranging from 2.60–3.25 Å. In the eleventh Sb3+ site, Sb3+ is bonded to five S2- atoms to form SbS5 square pyramids that share corners with two LiS6 octahedra, corners with two SbS6 octahedra, edges with three LiS6 octahedra, and edges with four SbS5 square pyramids. The corner-sharing octahedra tilt angles range from 12–68°. There are a spread of Sb–S bond distances ranging from 2.47–2.81 Å. In the twelfth Sb3+ site, Sb3+ is bonded to six S2- atoms to form SbS6 octahedra that share corners with four SbS6 octahedra, edges with seven SbS6 octahedra, and edges with two SbS5 square pyramids. The corner-sharing octahedra tilt angles range from 4–11°. There are a spread of Sb–S bond distances ranging from 2.61–3.20 Å. In the thirteenth Sb3+ site, Sb3+ is bonded to five S2- atoms to form SbS5 square pyramids that share corners with two LiS6 octahedra, corners with two SbS6 octahedra, edges with three LiS6 octahedra, and edges with four SbS5 square pyramids. The corner-sharing octahedra tilt angles range from 15–66°. There are a spread of Sb–S bond distances ranging from 2.48–2.88 Å. In the fourteenth Sb3+ site, Sb3+ is bonded to six S2- atoms to form SbS6 octahedra that share a cornercorner with one LiS6 octahedra, corners with three SbS6 octahedra, corners with three SbS5 square pyramids, and edges with six SbS6 octahedra. The corner-sharing octahedra tilt angles range from 2–42°. There are a spread of Sb–S bond distances ranging from 2.53–3.05 Å. In the fifteenth Sb3+ site, Sb3+ is bonded to five S2- atoms to form SbS5 square pyramids that share corners with two LiS6 octahedra, corners with two SbS6 octahedra, edges with three LiS6 octahedra, and edges with four SbS5 square pyramids. The corner-sharing octahedra tilt angles range from 14–69°. There are a spread of Sb–S bond distances ranging from 2.48–2.83 Å. In the sixteenth Sb3+ site, Sb3+ is bonded to six S2- atoms to form SbS6 octahedra that share corners with three SbS6 octahedra, corners with two equivalent SbS5 square pyramids, edges with seven SbS6 octahedra, and an edgeedge with one SbS5 square pyramid. The corner-sharing octahedra tilt angles range from 3–4°. There are a spread of Sb–S bond distances ranging from 2.61–3.13 Å. In the seventeenth Sb3+ site, Sb3+ is bonded to six S2- atoms to form SbS6 octahedra that share a cornercorner with one LiS6 octahedra, corners with three SbS6 octahedra, corners with three SbS5 square pyramids, and edges with six SbS6 octahedra. The corner-sharing octahedra tilt angles range from 3–44°. There are a spread of Sb–S bond distances ranging from 2.59–2.99 Å. There are twenty-seven inequivalent S2- sites. In the first S2- site, S2- is bonded in a water-like geometry to two Sb3+ atoms. In the second S2- site, S2- is bonded in a 3-coordinate geometry to one Li1+ and two Sb3+ atoms. In the third S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Sb3+ atoms. In the fourth S2- site, S2- is bonded to five Sb3+ atoms to form distorted SSb5 square pyramids that share corners with two SSb6 octahedra, edges with two SSb6 octahedra, and an edgeedge with one SSb5 square pyramid. The corner-sharing octahedra tilt angles range from 10–11°. In the fifth S2- site, S2- is bonded in a 3-coordinate geometry to three Sb3+ atoms. In the sixth S2- site, S2- is bonded to two Li1+ and three Sb3+ atoms to form distorted SLi2Sb3 square pyramids that share a cornercorner with one SLi2Sb3 square pyramid, corners with two equivalent SLiSb3 tetrahedra, and edges with three SLi2Sb3 square pyramids. In the seventh S2- site, S2- is bonded in a 5-coordinate geometry to two Li1+ and three Sb3+ atoms. In the eighth S2- site, S2- is bonded in a water-like geometry to two Sb3+ atoms. In the ninth S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to four Sb3+ atoms. In the tenth S2- site, S2- is bonded to five Sb3+ atoms to form SSb5 square pyramids that share corners with two SSb6 octahedra, edges with two SSb6 octahedra, and an edgeedge with one SSb5 square pyramid. The corner-sharing octahedra tilt angles range from 2–3°. In the eleventh S2- site, S2- is bonded to two Li1+ and three Sb3+ atoms to form distorted SLi2Sb3 square pyramids that share a cornercorner with one SLi2Sb3 square pyramid, edges with three SLi2Sb3 square pyramids, and an edgeedge with one SLiSb3 tetrahedra. In the twelfth S2- site, S2- is bonded in a 4-coordinate geometry to one Li1+ and three Sb3+ atoms. In the thirteenth S2- site, S2- is bonded to one Li1+ and three Sb3+ atoms to form distorted SLiSb3 tetrahedra that share corners with five SSb5 square pyramids and edges with two SLi2Sb3 square pyramids. In the fourteenth S2- site, S2- is bonded in a 5-coordinate geometry to two Li1+ and three Sb3+ atoms. In the fifteenth S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to four Sb3+ atoms. In the sixteenth S2- site, S2- is bonded to five Sb3+ atoms to form SSb5 square pyramids that share a cornercorner with one SLiSb3 tetrahedra, edges with two SSb6 octahedra, and edges with two SSb5 square pyramids. In the seventeenth S2- site, S2- is bonded in a rectangular see-saw-like geometry to four Sb3+ atoms. In the eighteenth S2- site, S2- is bonded in a 3-coordinate geometry to three Sb3+ atoms. In the nineteenth S2- site, S2- is bonded to two Li1+ and three Sb3+ atoms to form distorted SLi2Sb3 square pyramids that share corners with two equivalent SLiSb3 tetrahedra and edges with three SLi2Sb3 square pyramids. In the twentieth S2- site, S2- is bonded to two Li1+ and three Sb3+ atoms to form distorted SLi2Sb3 square pyramids that share corners with two SLi2Sb3 square pyramids, edges with three SLi2Sb3 square pyramids, and an edgeedge with one SLiSb3 tetrahedra. In the twenty-first S2- site, S2- is bonded in a distorted trigonal non-coplanar geometry to three Sb3+ atoms. In the twenty-second S2- site, S2- is bonded in a rectangular see-saw-like geometry to four Sb3+ atoms. In the twenty-third S2- site, S2- is bonded in a 4-coordinate geometry to one Li1+ and three Sb3+ atoms. In the twenty-fourth S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Sb3+ atoms. In the twenty-fifth S2- site, S2- is bonded to six Sb3+ atoms to form SSb6 octahedra that share corners with two SSb5 square pyramids, an edgeedge with one SSb6 octahedra, and edges with three SSb5 square pyramids. In the twenty-sixth S2- site, S2- is bonded in a 3-coordinate geometry to three Sb3+ atoms. In the twenty-seventh S2- site, S2- is bonded to six Sb3+ atoms to form SSb6 octahedra that share corners with two SSb5 square pyramids, an edgeedge with one SSb6 octahedra, and edges with three SSb5 square pyramids.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Li11Ti8Fe5O32 by Materials Project

Li11Ti8Fe5O32 is Spinel-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eleven inequivalent Li sites. In the first Li site, Li is bonded to four O atoms to form LiO4 tetrahedra that share corners with three LiO6 octahedra, corners with four FeO6 octahedra, and corners with five TiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–67°. There are a spread of Li–O bond distances ranging from 1.93–2.05 Å. In the second Li site, Li is bonded to six O atoms to form LiO6 octahedra that share a cornercorner with one FeO4 tetrahedra, corners with five LiO4 tetrahedra, edges with two FeO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Li–O bond distances ranging from 2.07–2.20 Å. In the third Li site, Li is bonded to four O atoms to form LiO4 tetrahedra that share corners with two FeO6 octahedra, corners with three LiO6 octahedra, and corners with seven TiO6 octahedra. The corner-sharing octahedra tilt angles range from 56–66°. There are a spread of Li–O bond distances ranging from 1.99–2.04 Å. In the fourth Li site, Li is bonded to four O atoms to form LiO4 tetrahedra that share corners with two FeO6 octahedra, corners with three LiO6 octahedra, and corners with seven TiO6 octahedra. The corner-sharing octahedra tilt angles range from 53–66°. There are a spread of Li–O bond distances ranging from 1.99–2.04 Å. In the fifth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with six LiO4 tetrahedra and edges with six TiO6 octahedra. There are a spread of Li–O bond distances ranging from 2.14–2.21 Å. In the sixth Li site, Li is bonded to four O atoms to form LiO4 tetrahedra that share corners with two FeO6 octahedra, corners with three LiO6 octahedra, and corners with seven TiO6 octahedra. The corner-sharing octahedra tilt angles range from 53–65°. There are a spread of Li–O bond distances ranging from 1.99–2.03 Å. In the seventh Li site, Li is bonded to four O atoms to form LiO4 tetrahedra that share corners with three LiO6 octahedra, corners with three FeO6 octahedra, and corners with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 54–65°. There are a spread of Li–O bond distances ranging from 1.97–2.02 Å. In the eighth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share a cornercorner with one FeO4 tetrahedra, corners with five LiO4 tetrahedra, edges with three TiO6 octahedra, and edges with three FeO6 octahedra. There are a spread of Li–O bond distances ranging from 2.06–2.18 Å. In the ninth Li site, Li is bonded to four O atoms to form LiO4 tetrahedra that share corners with three LiO6 octahedra, corners with four FeO6 octahedra, and corners with five TiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–68°. There are a spread of Li–O bond distances ranging from 1.99–2.03 Å. In the tenth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share a cornercorner with one FeO4 tetrahedra, corners with five LiO4 tetrahedra, edges with three TiO6 octahedra, and edges with three FeO6 octahedra. There are a spread of Li–O bond distances ranging from 2.10–2.19 Å. In the eleventh Li site, Li is bonded to four O atoms to form LiO4 tetrahedra that share corners with three LiO6 octahedra, corners with three FeO6 octahedra, and corners with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–69°. There are a spread of Li–O bond distances ranging from 1.97–2.01 Å. There are eight inequivalent Ti sites. In the first Ti site, Ti is bonded to six O atoms to form TiO6 octahedra that share a cornercorner with one FeO4 tetrahedra, corners with five LiO4 tetrahedra, an edgeedge with one FeO6 octahedra, edges with two LiO6 octahedra, and edges with three TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.89–2.08 Å. In the second Ti site, Ti is bonded to six O atoms to form TiO6 octahedra that share corners with six LiO4 tetrahedra, an edgeedge with one FeO6 octahedra, edges with two LiO6 octahedra, and edges with three TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.86–2.12 Å. In the third Ti site, Ti is bonded to six O atoms to form TiO6 octahedra that share corners with six LiO4 tetrahedra, edges with two LiO6 octahedra, edges with two TiO6 octahedra, and edges with two FeO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.84–2.13 Å. In the fourth Ti site, Ti is bonded to six O atoms to form TiO6 octahedra that share a cornercorner with one FeO4 tetrahedra, corners with five LiO4 tetrahedra, edges with two LiO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.83–2.16 Å. In the fifth Ti site, Ti is bonded to six O atoms to form TiO6 octahedra that share a cornercorner with one FeO4 tetrahedra, corners with five LiO4 tetrahedra, an edgeedge with one FeO6 octahedra, edges with two LiO6 octahedra, and edges with three TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.86–2.14 Å. In the sixth Ti site, Ti is bonded to six O atoms to form TiO6 octahedra that share corners with six LiO4 tetrahedra, an edgeedge with one FeO6 octahedra, edges with two LiO6 octahedra, and edges with three TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.86–2.11 Å. In the seventh Ti site, Ti is bonded to six O atoms to form TiO6 octahedra that share a cornercorner with one FeO4 tetrahedra, corners with five LiO4 tetrahedra, edges with two LiO6 octahedra, edges with two TiO6 octahedra, and edges with two FeO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.85–2.11 Å. In the eighth Ti site, Ti is bonded to six O atoms to form TiO6 octahedra that share a cornercorner with one FeO4 tetrahedra, corners with five LiO4 tetrahedra, edges with two LiO6 octahedra, edges with two TiO6 octahedra, and edges with two FeO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.86–2.15 Å. There are five inequivalent Fe sites. In the first Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share a cornercorner with one FeO4 tetrahedra, corners with five LiO4 tetrahedra, an edgeedge with one FeO6 octahedra, edges with two LiO6 octahedra, and edges with three TiO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.89–2.06 Å. In the second Fe site, Fe is bonded to four O atoms to form FeO4 tetrahedra that share corners with three LiO6 octahedra, corners with four FeO6 octahedra, and corners with five TiO6 octahedra. The corner-sharing octahedra tilt angles range from 53–63°. There are a spread of Fe–O bond distances ranging from 1.89–1.94 Å. In the third Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share a cornercorner with one FeO4 tetrahedra, corners with five LiO4 tetrahedra, an edgeedge with one FeO6 octahedra, edges with two LiO6 octahedra, and edges with three TiO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.86–2.02 Å. In the fourth Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share a cornercorner with one FeO4 tetrahedra, corners with five LiO4 tetrahedra, edges with two LiO6 octahedra, edges with two TiO6 octahedra, and edges with two FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.86–2.05 Å. In the fifth Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share a cornercorner with one FeO4 tetrahedra, corners with five LiO4 tetrahedra, edges with two LiO6 octahedra, edges with two TiO6 octahedra, and edges with two FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.85–2.01 Å. There are thirty-two inequivalent O sites. In the first O site, O is bonded to two Li, one Ti, and one Fe atom to form distorted OLi2TiFe trigonal pyramids that share corners with five OLi2Ti2 trigonal pyramids and edges with two OLi2TiFe trigonal pyramids. In the second O site, O is bonded in a distorted rectangular see-saw-like geometry to one Li, two Ti, and one Fe atom. In the third O site, O is bonded to two Li, one Ti, and one Fe atom to form distorted OLi2TiFe trigonal pyramids that share corners with six OLi2Ti2 trigonal pyramids and edges with two OLi2TiFe trigonal pyramids. In the fourth O site, O is bonded to two Li and two Ti atoms to form distorted corner-sharing OLi2Ti2 trigonal pyramids. In the fifth O site, O is bonded to two Li and two Ti atoms to form a mixture of distorted edge and corner-sharing OLi2Ti2 trigonal pyramids. In the sixth O site, O is bonded in a rectangular see-saw-like geometry to two Li and two Ti atoms. In the seventh O site, O is bonded in a rectangular see-saw-like geometry to one Li and three Ti atoms. In the eighth O site, O is bonded in a distorted rectangular see-saw-like geometry to two Li and two Ti atoms. In the ninth O site, O is bonded in a distorted rectangular see-saw-like geometry to two Li and two Ti atoms. In the tenth O site, O is bonded in a rectangular see-saw-like geometry to one Li and three Ti atoms. In the eleventh O site, O is bonded to two Li and two Ti atoms to form a mixture of distorted edge and corner-sharing OLi2Ti2 trigonal pyramids. In the twelfth O site, O is bonded to two Li and two Ti atoms to form distorted corner-sharing OLi2Ti2 trigonal pyramids. In the thirteenth O site, O is bonded to two Li and two Ti atoms to form distorted OLi2Ti2 trigonal pyramids that share corners with seven OLi2Ti2 trigonal pyramids and an edgeedge with one OLi2TiFe trigonal pyramid. In the fourteenth O site, O is bonded to two Li and two Ti atoms to form a mixture of edge and corner-sharing OLi2Ti2 trigonal pyramids. In the fifteenth O site, O is bonded in a distorted rectangular see-saw-like geometry to one Li, two Ti, and one Fe atom. In the sixteenth O site, O is bonded to two Li and two Ti atoms to form a mixture of distorted edge and corner-sharing OLi2Ti2 trigonal pyramids. In the seventeenth O site, O is bonded to two Li, one Ti, and one Fe atom to form a mixture of distorted edge and corner-sharing OLi2TiFe trigonal pyramids. In the eighteenth O site, O is bonded in a rectangular see-saw-like geometry to three Ti and one Fe atom. In the nineteenth O site, O is bonded in a rectangular see-saw-like geometry to one Li, one Ti, and two Fe atoms. In the twentieth O site, O is bonded to two Li and two Ti atoms to form a mixture of distorted edge and corner-sharing OLi2Ti2 trigonal pyramids. In the twenty-first O site, O is bonded to two Li, one Ti, and one Fe atom to form distorted OLi2TiFe trigonal pyramids that share corners with six OLi2Ti2 trigonal pyramids and an edgeedge with one OLi2Fe2 trigonal pyramid. In the twenty-second O site, O is bonded to two Li, one Ti, and one Fe atom to form distorted OLi2TiFe trigonal pyramids that share corners with seven OLi2Ti2 trigonal pyramids and edges with two OLi2Fe2 trigonal pyramids. In the twenty-third O site, O is bonded in a rectangular see-saw-like geometry to one Li, one Ti, and two Fe atoms. In the twenty-fourth O site, O is bonded to two Li, one Ti, and one Fe atom to form OLi2TiFe trigonal pyramids that share corners with six OLi2Ti2 trigonal pyramids and edges with two OLi2Fe2 trigonal pyramids. In the twenty-fifth O site, O is bonded to two Li and two Fe atoms to form a mixture of distorted edge and corner-sharing OLi2Fe2 trigonal pyramids. In the twenty-sixth O site, O is bonded in a rectangular see-saw-like geometry to one Li, one Ti, and two Fe atoms. In the twenty-seventh O site, O is bonded in a rectangular see-saw-like geometry to two Li, one Ti, and one Fe atom. In the twenty-eighth O site, O is bonded to two Li and two Fe atoms to form distorted OLi2Fe2 trigonal pyramids that share corners with five OLi2Ti2 trigonal pyramids and edges with two OLi2TiFe trigonal pyramids. In the twenty-ninth O site, O is bonded in a rectangular see-saw-like geometry to on

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Ba4Tm6O13 by Materials Project

Ba4Tm6O13 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Ba2+ sites. In the first Ba2+ site, Ba2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Ba–O bond distances ranging from 2.76–3.33 Å. In the second Ba2+ site, Ba2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Ba–O bond distances ranging from 2.68–3.21 Å. In the third Ba2+ site, Ba2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Ba–O bond distances ranging from 2.68–3.22 Å. In the fourth Ba2+ site, Ba2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Ba–O bond distances ranging from 2.76–3.29 Å. In the fifth Ba2+ site, Ba2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Ba–O bond distances ranging from 2.75–3.31 Å. In the sixth Ba2+ site, Ba2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Ba–O bond distances ranging from 2.69–3.23 Å. In the seventh Ba2+ site, Ba2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Ba–O bond distances ranging from 2.68–3.20 Å. In the eighth Ba2+ site, Ba2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Ba–O bond distances ranging from 2.76–3.34 Å. There are twelve inequivalent Tm3+ sites. In the first Tm3+ site, Tm3+ is bonded to five O2- atoms to form distorted TmO5 trigonal bipyramids that share a cornercorner with one TmO6 octahedra, corners with four TmO5 trigonal bipyramids, and edges with three TmO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 8°. There are a spread of Tm–O bond distances ranging from 2.09–2.36 Å. In the second Tm3+ site, Tm3+ is bonded to six O2- atoms to form TmO6 octahedra that share corners with four TmO6 octahedra and corners with two TmO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 5–6°. There are a spread of Tm–O bond distances ranging from 2.15–2.39 Å. In the third Tm3+ site, Tm3+ is bonded to five O2- atoms to form distorted TmO5 trigonal bipyramids that share a cornercorner with one TmO6 octahedra, corners with six TmO5 trigonal bipyramids, and an edgeedge with one TmO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 11°. There are a spread of Tm–O bond distances ranging from 2.10–2.33 Å. In the fourth Tm3+ site, Tm3+ is bonded to five O2- atoms to form distorted TmO5 trigonal bipyramids that share a cornercorner with one TmO6 octahedra, corners with six TmO5 trigonal bipyramids, and an edgeedge with one TmO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 11°. There are a spread of Tm–O bond distances ranging from 2.10–2.33 Å. In the fifth Tm3+ site, Tm3+ is bonded to six O2- atoms to form TmO6 octahedra that share corners with four TmO6 octahedra and corners with two TmO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 5–7°. There are a spread of Tm–O bond distances ranging from 2.16–2.41 Å. In the sixth Tm3+ site, Tm3+ is bonded to five O2- atoms to form distorted TmO5 trigonal bipyramids that share a cornercorner with one TmO6 octahedra, corners with four TmO5 trigonal bipyramids, and edges with three TmO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 9°. There are a spread of Tm–O bond distances ranging from 2.09–2.37 Å. In the seventh Tm3+ site, Tm3+ is bonded to five O2- atoms to form distorted TmO5 trigonal bipyramids that share a cornercorner with one TmO6 octahedra, corners with four TmO5 trigonal bipyramids, and edges with three TmO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 9°. There are a spread of Tm–O bond distances ranging from 2.09–2.36 Å. In the eighth Tm3+ site, Tm3+ is bonded to six O2- atoms to form TmO6 octahedra that share corners with four TmO6 octahedra and corners with two TmO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 4–7°. There are a spread of Tm–O bond distances ranging from 2.16–2.41 Å. In the ninth Tm3+ site, Tm3+ is bonded to five O2- atoms to form distorted TmO5 trigonal bipyramids that share a cornercorner with one TmO6 octahedra, corners with six TmO5 trigonal bipyramids, and an edgeedge with one TmO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 11°. There are a spread of Tm–O bond distances ranging from 2.10–2.33 Å. In the tenth Tm3+ site, Tm3+ is bonded to five O2- atoms to form TmO5 trigonal bipyramids that share a cornercorner with one TmO6 octahedra, corners with six TmO5 trigonal bipyramids, and an edgeedge with one TmO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 10°. There are a spread of Tm–O bond distances ranging from 2.10–2.33 Å. In the eleventh Tm3+ site, Tm3+ is bonded to six O2- atoms to form TmO6 octahedra that share corners with four TmO6 octahedra and corners with two TmO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 4–6°. There are a spread of Tm–O bond distances ranging from 2.16–2.40 Å. In the twelfth Tm3+ site, Tm3+ is bonded to five O2- atoms to form distorted TmO5 trigonal bipyramids that share a cornercorner with one TmO6 octahedra, corners with four TmO5 trigonal bipyramids, and edges with three TmO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 8°. There are a spread of Tm–O bond distances ranging from 2.09–2.36 Å. There are twenty-six inequivalent O2- sites. In the first O2- site, O2- is bonded to four Tm3+ atoms to form distorted edge-sharing OTm4 trigonal pyramids. In the second O2- site, O2- is bonded to four Tm3+ atoms to form distorted edge-sharing OTm4 trigonal pyramids. In the third O2- site, O2- is bonded in a 2-coordinate geometry to four Ba2+ and two Tm3+ atoms. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Tm3+ atoms. In the fifth O2- site, O2- is bonded to four Ba2+ and two Tm3+ atoms to form distorted OBa4Tm2 octahedra that share corners with two OBa4Tm2 octahedra, corners with two OBaTm3 tetrahedra, edges with two OBa4Tm2 octahedra, and faces with four OBa4Tm2 octahedra. The corner-sharing octahedra tilt angles range from 3–4°. In the sixth O2- site, O2- is bonded in a 2-coordinate geometry to four Ba2+ and two Tm3+ atoms. In the seventh O2- site, O2- is bonded to one Ba2+ and three Tm3+ atoms to form distorted OBaTm3 tetrahedra that share corners with four OBa4Tm2 octahedra, corners with four OBaTm3 tetrahedra, and an edgeedge with one OBaTm3 tetrahedra. The corner-sharing octahedra tilt angles range from 26–69°. In the eighth O2- site, O2- is bonded to four Ba2+ and two Tm3+ atoms to form distorted OBa4Tm2 octahedra that share corners with two OBa4Tm2 octahedra, corners with two OBaTm3 tetrahedra, edges with two OBa4Tm2 octahedra, and faces with four OBa4Tm2 octahedra. The corner-sharing octahedra tilt angles range from 3–4°. In the ninth O2- site, O2- is bonded to four Ba2+ and two Tm3+ atoms to form distorted OBa4Tm2 octahedra that share corners with two OBa4Tm2 octahedra, corners with two OBaTm3 tetrahedra, edges with two OBa4Tm2 octahedra, and faces with four OBa4Tm2 octahedra. The corner-sharing octahedra tilt angles range from 3–4°. In the tenth O2- site, O2- is bonded to one Ba2+ and three Tm3+ atoms to form distorted OBaTm3 tetrahedra that share corners with four OBa4Tm2 octahedra, corners with four OBaTm3 tetrahedra, and an edgeedge with one OBaTm3 tetrahedra. The corner-sharing octahedra tilt angles range from 26–70°. In the eleventh O2- site, O2- is bonded in a 2-coordinate geometry to four Ba2+ and two Tm3+ atoms. In the twelfth O2- site, O2- is bonded in a 2-coordinate geometry to four Ba2+ and two Tm3+ atoms. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Tm3+ atoms. In the fourteenth O2- site, O2- is bonded to four Ba2+ and two Tm3+ atoms to form distorted OBa4Tm2 octahedra that share corners with two OBa4Tm2 octahedra, corners with two OBaTm3 tetrahedra, edges with two OBa4Tm2 octahedra, and faces with four OBa4Tm2 octahedra. The corner-sharing octahedra tilt angles range from 3–4°. In the fifteenth O2- site, O2- is bonded to four Ba2+ and two Tm3+ atoms to form distorted OBa4Tm2 octahedra that share corners with two OBa4Tm2 octahedra, corners with two OBaTm3 tetrahedra, edges with two OBa4Tm2 octahedra, and faces with four OBa4Tm2 octahedra. The corner-sharing octahedral tilt angles are 3°. In the sixteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Tm3+ atoms. In the seventeenth O2- site, O2- is bonded in a 2-coordinate geometry to four Ba2+ and two Tm3+ atoms. In the eighteenth O2- site, O2- is bonded in a 2-coordinate geometry to four Ba2+ and two Tm3+ atoms. In the nineteenth O2- site, O2- is bonded to one Ba2+ and three Tm3+ atoms to form distorted OBaTm3 tetrahedra that share corners with four OBa4Tm2 octahedra, corners with four OBaTm3 tetrahedra, and an edgeedge with one OBaTm3 tetrahedra. The corner-sharing octahedra tilt angles range from 25–70°. In the twentieth O2- site, O2- is bonded to four Ba2+ and two Tm3+ atoms to form distorted OBa4Tm2 octahedra that share corners with two OBa4Tm2 octahedra, corners with two OBaTm3 tetrahedra, edges with two OBa4Tm2 octahedra, and faces with four OBa4Tm2 octahedra. The corner-sharing octahedra tilt angles range from 3–4°. In the twenty-first O2- site, O2- is bonded to four Ba2+ and two Tm3+ atoms to form distorted OBa4Tm2 octahedra that share corners with two OBa4Tm2 octahedra, corners with two OBaTm3 tetrahedra, edges with two OBa4Tm2 octahedra, and faces with four OBa4Tm2 octahedra. The corner-sharing octahedral tilt angles are 3°. In the twenty-second O2- site, O2- is bonded to one Ba2+ and three Tm3+ atoms to form distorted OBaTm3 tetrahedra that share corners with four OBa4Tm2 octahedra, corners with four OBaTm3 tetrahedra, and an edgeedge with one OBaTm3 tetrahedra. The corner-sharing octahedra tilt angles range from 26–69°. In the twenty-third O2- site, O2- is bonded in a 2-coordinate geometry to four Ba2+ and two Tm3+ atoms. In the twenty-fourth O2- site, O2- is bonded to four Ba2+ and two Tm3+ atoms to form distorted OBa4Tm2 octahedra that share corners with two OBa4Tm2 octahedra, corners with two OBaTm3 tetrahedra, edges with two OBa4Tm2 octahedra, and faces with four OBa4Tm2 octahedra. The corner-sharing octahedra tilt angles range from 3–4°. In the twenty-fifth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Tm3+ atoms. In the twenty-sixth O2- site, O2- is bonded in a 2-coordinate geometry to four Ba2+ and two Tm3+ atoms.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Ba4Lu6O13 by Materials Project

Ba4Lu6O13 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Ba2+ sites. In the first Ba2+ site, Ba2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Ba–O bond distances ranging from 2.74–3.18 Å. In the second Ba2+ site, Ba2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Ba–O bond distances ranging from 2.65–3.16 Å. In the third Ba2+ site, Ba2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Ba–O bond distances ranging from 2.66–3.15 Å. In the fourth Ba2+ site, Ba2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Ba–O bond distances ranging from 2.74–3.20 Å. In the fifth Ba2+ site, Ba2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Ba–O bond distances ranging from 2.74–3.20 Å. In the sixth Ba2+ site, Ba2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Ba–O bond distances ranging from 2.65–3.17 Å. In the seventh Ba2+ site, Ba2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Ba–O bond distances ranging from 2.66–3.19 Å. In the eighth Ba2+ site, Ba2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Ba–O bond distances ranging from 2.73–3.22 Å. There are twelve inequivalent Lu3+ sites. In the first Lu3+ site, Lu3+ is bonded to five O2- atoms to form distorted LuO5 trigonal bipyramids that share a cornercorner with one LuO6 octahedra, corners with four LuO5 trigonal bipyramids, and edges with three LuO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 9°. There are a spread of Lu–O bond distances ranging from 2.08–2.35 Å. In the second Lu3+ site, Lu3+ is bonded to six O2- atoms to form LuO6 octahedra that share corners with four LuO6 octahedra and corners with two LuO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 2–7°. There are a spread of Lu–O bond distances ranging from 2.13–2.42 Å. In the third Lu3+ site, Lu3+ is bonded to five O2- atoms to form LuO5 trigonal bipyramids that share a cornercorner with one LuO6 octahedra, corners with six LuO5 trigonal bipyramids, and an edgeedge with one LuO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 10°. There are a spread of Lu–O bond distances ranging from 2.09–2.28 Å. In the fourth Lu3+ site, Lu3+ is bonded to five O2- atoms to form LuO5 trigonal bipyramids that share a cornercorner with one LuO6 octahedra, corners with six LuO5 trigonal bipyramids, and an edgeedge with one LuO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 10°. There are a spread of Lu–O bond distances ranging from 2.09–2.29 Å. In the fifth Lu3+ site, Lu3+ is bonded to six O2- atoms to form LuO6 octahedra that share corners with four LuO6 octahedra and corners with two LuO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 2–7°. There are a spread of Lu–O bond distances ranging from 2.13–2.40 Å. In the sixth Lu3+ site, Lu3+ is bonded to five O2- atoms to form distorted LuO5 trigonal bipyramids that share a cornercorner with one LuO6 octahedra, corners with four LuO5 trigonal bipyramids, and edges with three LuO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 7°. There are a spread of Lu–O bond distances ranging from 2.08–2.34 Å. In the seventh Lu3+ site, Lu3+ is bonded to five O2- atoms to form distorted LuO5 trigonal bipyramids that share a cornercorner with one LuO6 octahedra, corners with four LuO5 trigonal bipyramids, and edges with three LuO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 7°. There are a spread of Lu–O bond distances ranging from 2.08–2.36 Å. In the eighth Lu3+ site, Lu3+ is bonded to six O2- atoms to form LuO6 octahedra that share corners with four LuO6 octahedra and corners with two LuO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 4–7°. There are a spread of Lu–O bond distances ranging from 2.13–2.42 Å. In the ninth Lu3+ site, Lu3+ is bonded to five O2- atoms to form LuO5 trigonal bipyramids that share a cornercorner with one LuO6 octahedra, corners with six LuO5 trigonal bipyramids, and an edgeedge with one LuO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 11°. There are a spread of Lu–O bond distances ranging from 2.09–2.29 Å. In the tenth Lu3+ site, Lu3+ is bonded to five O2- atoms to form LuO5 trigonal bipyramids that share a cornercorner with one LuO6 octahedra, corners with six LuO5 trigonal bipyramids, and an edgeedge with one LuO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 12°. There are a spread of Lu–O bond distances ranging from 2.09–2.30 Å. In the eleventh Lu3+ site, Lu3+ is bonded to six O2- atoms to form LuO6 octahedra that share corners with four LuO6 octahedra and corners with two LuO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 4–7°. There are a spread of Lu–O bond distances ranging from 2.13–2.43 Å. In the twelfth Lu3+ site, Lu3+ is bonded to five O2- atoms to form distorted LuO5 trigonal bipyramids that share a cornercorner with one LuO6 octahedra, corners with four LuO5 trigonal bipyramids, and edges with three LuO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 7°. There are a spread of Lu–O bond distances ranging from 2.08–2.34 Å. There are twenty-six inequivalent O2- sites. In the first O2- site, O2- is bonded to four Lu3+ atoms to form distorted edge-sharing OLu4 trigonal pyramids. In the second O2- site, O2- is bonded to four Lu3+ atoms to form distorted edge-sharing OLu4 trigonal pyramids. In the third O2- site, O2- is bonded in a 2-coordinate geometry to four Ba2+ and two Lu3+ atoms. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Lu3+ atoms. In the fifth O2- site, O2- is bonded to four Ba2+ and two Lu3+ atoms to form distorted OBa4Lu2 octahedra that share corners with two OBa4Lu2 octahedra, corners with two OBaLu3 tetrahedra, edges with two OBa4Lu2 octahedra, and faces with four OBa4Lu2 octahedra. The corner-sharing octahedra tilt angles range from 2–4°. In the sixth O2- site, O2- is bonded in a 2-coordinate geometry to four Ba2+ and two Lu3+ atoms. In the seventh O2- site, O2- is bonded to one Ba2+ and three Lu3+ atoms to form distorted OBaLu3 tetrahedra that share corners with four OBa4Lu2 octahedra, corners with four OBaLu3 tetrahedra, and an edgeedge with one OBaLu3 tetrahedra. The corner-sharing octahedra tilt angles range from 26–70°. In the eighth O2- site, O2- is bonded to four Ba2+ and two Lu3+ atoms to form distorted OBa4Lu2 octahedra that share corners with two OBa4Lu2 octahedra, corners with two OBaLu3 tetrahedra, edges with two OBa4Lu2 octahedra, and faces with four OBa4Lu2 octahedra. The corner-sharing octahedra tilt angles range from 3–5°. In the ninth O2- site, O2- is bonded to four Ba2+ and two Lu3+ atoms to form distorted OBa4Lu2 octahedra that share corners with two OBa4Lu2 octahedra, corners with two OBaLu3 tetrahedra, edges with two OBa4Lu2 octahedra, and faces with four OBa4Lu2 octahedra. The corner-sharing octahedra tilt angles range from 2–4°. In the tenth O2- site, O2- is bonded to one Ba2+ and three Lu3+ atoms to form distorted OBaLu3 tetrahedra that share corners with four OBa4Lu2 octahedra, corners with four OBaLu3 tetrahedra, and an edgeedge with one OBaLu3 tetrahedra. The corner-sharing octahedra tilt angles range from 25–70°. In the eleventh O2- site, O2- is bonded in a 2-coordinate geometry to four Ba2+ and two Lu3+ atoms. In the twelfth O2- site, O2- is bonded in a 2-coordinate geometry to four Ba2+ and two Lu3+ atoms. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Lu3+ atoms. In the fourteenth O2- site, O2- is bonded to four Ba2+ and two Lu3+ atoms to form distorted OBa4Lu2 octahedra that share corners with two OBa4Lu2 octahedra, corners with two OBaLu3 tetrahedra, edges with two OBa4Lu2 octahedra, and faces with four OBa4Lu2 octahedra. The corner-sharing octahedra tilt angles range from 4–5°. In the fifteenth O2- site, O2- is bonded to four Ba2+ and two Lu3+ atoms to form distorted OBa4Lu2 octahedra that share corners with two OBa4Lu2 octahedra, corners with two OBaLu3 tetrahedra, edges with two OBa4Lu2 octahedra, and faces with four OBa4Lu2 octahedra. The corner-sharing octahedra tilt angles range from 3–4°. In the sixteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Lu3+ atoms. In the seventeenth O2- site, O2- is bonded in a 2-coordinate geometry to four Ba2+ and two Lu3+ atoms. In the eighteenth O2- site, O2- is bonded in a 2-coordinate geometry to four Ba2+ and two Lu3+ atoms. In the nineteenth O2- site, O2- is bonded to one Ba2+ and three Lu3+ atoms to form distorted OBaLu3 tetrahedra that share corners with four OBa4Lu2 octahedra, corners with four OBaLu3 tetrahedra, and an edgeedge with one OBaLu3 tetrahedra. The corner-sharing octahedra tilt angles range from 26–69°. In the twentieth O2- site, O2- is bonded to four Ba2+ and two Lu3+ atoms to form distorted OBa4Lu2 octahedra that share corners with two OBa4Lu2 octahedra, corners with two OBaLu3 tetrahedra, edges with two OBa4Lu2 octahedra, and faces with four OBa4Lu2 octahedra. The corner-sharing octahedra tilt angles range from 3–4°. In the twenty-first O2- site, O2- is bonded to four Ba2+ and two Lu3+ atoms to form distorted OBa4Lu2 octahedra that share corners with two OBa4Lu2 octahedra, corners with two OBaLu3 tetrahedra, edges with two OBa4Lu2 octahedra, and faces with four OBa4Lu2 octahedra. The corner-sharing octahedra tilt angles range from 3–4°. In the twenty-second O2- site, O2- is bonded to one Ba2+ and three Lu3+ atoms to form distorted OBaLu3 tetrahedra that share corners with four OBa4Lu2 octahedra, corners with four OBaLu3 tetrahedra, and an edgeedge with one OBaLu3 tetrahedra. The corner-sharing octahedra tilt angles range from 25–70°. In the twenty-third O2- site, O2- is bonded in a 2-coordinate geometry to four Ba2+ and two Lu3+ atoms. In the twenty-fourth O2- site, O2- is bonded to four Ba2+ and two Lu3+ atoms to form distorted OBa4Lu2 octahedra that share corners with two OBa4Lu2 octahedra, corners with two OBaLu3 tetrahedra, edges with two OBa4Lu2 octahedra, and faces with four OBa4Lu2 octahedra. The corner-sharing octahedral tilt angles are 3°. In the twenty-fifth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Lu3+ atoms. In the twenty-sixth O2- site, O2- is bonded in a 2-coordinate geometry to four Ba2+ and two Lu3+ atoms.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Li2Fe3NiO8 by Materials Project

Li2Fe3NiO8 is Spinel-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Li sites. In the first Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with three LiO4 tetrahedra, corners with three NiO4 tetrahedra, and edges with six FeO6 octahedra. There are a spread of Li–O bond distances ranging from 2.11–2.16 Å. In the second Li site, Li is bonded to four O atoms to form LiO4 tetrahedra that share corners with three LiO6 octahedra and corners with nine FeO6 octahedra. The corner-sharing octahedra tilt angles range from 52–69°. There are a spread of Li–O bond distances ranging from 1.94–2.05 Å. In the third Li site, Li is bonded to four O atoms to form LiO4 tetrahedra that share corners with three LiO6 octahedra and corners with nine FeO6 octahedra. The corner-sharing octahedra tilt angles range from 50–66°. There are a spread of Li–O bond distances ranging from 1.97–1.99 Å. In the fourth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with three LiO4 tetrahedra, corners with three NiO4 tetrahedra, and edges with six FeO6 octahedra. There are a spread of Li–O bond distances ranging from 2.09–2.23 Å. In the fifth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with three LiO4 tetrahedra, corners with three NiO4 tetrahedra, and edges with six FeO6 octahedra. There are a spread of Li–O bond distances ranging from 2.11–2.14 Å. In the sixth Li site, Li is bonded to four O atoms to form LiO4 tetrahedra that share corners with three LiO6 octahedra and corners with nine FeO6 octahedra. The corner-sharing octahedra tilt angles range from 53–65°. There are a spread of Li–O bond distances ranging from 1.96–2.03 Å. In the seventh Li site, Li is bonded to four O atoms to form LiO4 tetrahedra that share corners with three LiO6 octahedra and corners with nine FeO6 octahedra. The corner-sharing octahedra tilt angles range from 52–66°. There are a spread of Li–O bond distances ranging from 1.97–2.03 Å. In the eighth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with three LiO4 tetrahedra, corners with three NiO4 tetrahedra, and edges with six FeO6 octahedra. There are a spread of Li–O bond distances ranging from 2.08–2.15 Å. There are twelve inequivalent Fe sites. In the first Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with three LiO4 tetrahedra, corners with three NiO4 tetrahedra, edges with two LiO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.85–2.07 Å. In the second Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with three LiO4 tetrahedra, corners with three NiO4 tetrahedra, edges with two LiO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.87–2.06 Å. In the third Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with three LiO4 tetrahedra, corners with three NiO4 tetrahedra, edges with two LiO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.85–2.12 Å. In the fourth Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with three LiO4 tetrahedra, corners with three NiO4 tetrahedra, edges with two LiO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.89–2.06 Å. In the fifth Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with three LiO4 tetrahedra, corners with three NiO4 tetrahedra, edges with two LiO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.82–2.02 Å. In the sixth Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with three LiO4 tetrahedra, corners with three NiO4 tetrahedra, edges with two LiO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.96–2.08 Å. In the seventh Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with three LiO4 tetrahedra, corners with three NiO4 tetrahedra, edges with two LiO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.83–2.03 Å. In the eighth Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with three LiO4 tetrahedra, corners with three NiO4 tetrahedra, edges with two LiO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.97–2.06 Å. In the ninth Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with three LiO4 tetrahedra, corners with three NiO4 tetrahedra, edges with two LiO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.87–2.05 Å. In the tenth Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with three LiO4 tetrahedra, corners with three NiO4 tetrahedra, edges with two LiO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.83–2.08 Å. In the eleventh Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with three LiO4 tetrahedra, corners with three NiO4 tetrahedra, edges with two LiO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.97–2.10 Å. In the twelfth Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with three LiO4 tetrahedra, corners with three NiO4 tetrahedra, edges with two LiO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.83–1.97 Å. There are four inequivalent Ni sites. In the first Ni site, Ni is bonded to four O atoms to form NiO4 tetrahedra that share corners with three LiO6 octahedra and corners with nine FeO6 octahedra. The corner-sharing octahedra tilt angles range from 53–66°. There are a spread of Ni–O bond distances ranging from 1.95–1.98 Å. In the second Ni site, Ni is bonded to four O atoms to form NiO4 tetrahedra that share corners with three LiO6 octahedra and corners with nine FeO6 octahedra. The corner-sharing octahedra tilt angles range from 54–65°. There are a spread of Ni–O bond distances ranging from 1.94–2.00 Å. In the third Ni site, Ni is bonded to four O atoms to form NiO4 tetrahedra that share corners with three LiO6 octahedra and corners with nine FeO6 octahedra. The corner-sharing octahedra tilt angles range from 51–65°. There are a spread of Ni–O bond distances ranging from 1.95–2.06 Å. In the fourth Ni site, Ni is bonded to four O atoms to form NiO4 tetrahedra that share corners with three LiO6 octahedra and corners with nine FeO6 octahedra. The corner-sharing octahedra tilt angles range from 46–68°. There are a spread of Ni–O bond distances ranging from 1.95–2.01 Å. There are thirty-two inequivalent O sites. In the first O site, O is bonded in a rectangular see-saw-like geometry to two Li and two Fe atoms. In the second O site, O is bonded to two Li and two Fe atoms to form corner-sharing OLi2Fe2 trigonal pyramids. In the third O site, O is bonded in a rectangular see-saw-like geometry to one Li and three Fe atoms. In the fourth O site, O is bonded in a distorted rectangular see-saw-like geometry to two Li and two Fe atoms. In the fifth O site, O is bonded in a rectangular see-saw-like geometry to one Li, two Fe, and one Ni atom. In the sixth O site, O is bonded to three Fe and one Ni atom to form distorted corner-sharing OFe3Ni trigonal pyramids. In the seventh O site, O is bonded in a rectangular see-saw-like geometry to one Li, two Fe, and one Ni atom. In the eighth O site, O is bonded to one Li, two Fe, and one Ni atom to form corner-sharing OLiFe2Ni trigonal pyramids. In the ninth O site, O is bonded in a rectangular see-saw-like geometry to one Li, two Fe, and one Ni atom. In the tenth O site, O is bonded in a rectangular see-saw-like geometry to one Li, two Fe, and one Ni atom. In the eleventh O site, O is bonded in a distorted rectangular see-saw-like geometry to three Fe and one Ni atom. In the twelfth O site, O is bonded in a distorted rectangular see-saw-like geometry to one Li, two Fe, and one Ni atom. In the thirteenth O site, O is bonded in a distorted rectangular see-saw-like geometry to two Li and two Fe atoms. In the fourteenth O site, O is bonded in a rectangular see-saw-like geometry to one Li and three Fe atoms. In the fifteenth O site, O is bonded in a rectangular see-saw-like geometry to two Li and two Fe atoms. In the sixteenth O site, O is bonded in a distorted rectangular see-saw-like geometry to two Li and two Fe atoms. In the seventeenth O site, O is bonded to two Li and two Fe atoms to form distorted corner-sharing OLi2Fe2 trigonal pyramids. In the eighteenth O site, O is bonded in a rectangular see-saw-like geometry to two Li and two Fe atoms. In the nineteenth O site, O is bonded in a rectangular see-saw-like geometry to one Li and three Fe atoms. In the twentieth O site, O is bonded in a rectangular see-saw-like geometry to two Li and two Fe atoms. In the twenty-first O site, O is bonded to one Li, two Fe, and one Ni atom to form OLiFe2Ni trigonal pyramids that share corners with two OLi2Fe2 trigonal pyramids and an edgeedge with one OLiFe2Ni trigonal pyramid. In the twenty-second O site, O is bonded in a rectangular see-saw-like geometry to three Fe and one Ni atom. In the twenty-third O site, O is bonded to one Li, two Fe, and one Ni atom to form distorted corner-sharing OLiFe2Ni trigonal pyramids. In the twenty-fourth O site, O is bonded in a rectangular see-saw-like geometry to one Li, two Fe, and one Ni atom. In the twenty-fifth O site, O is bonded to one Li, two Fe, and one Ni atom to form OLiFe2Ni trigonal pyramids that share corners with three OLi2Fe2 trigonal pyramids and an edgeedge with one OLiFe2Ni trigonal pyramid. In the twenty-sixth O site, O is bonded in a rectangular see-saw-like geometry to one Li, two Fe, and one Ni atom. In the twenty-seventh O site, O is bonded in a rectangular see-saw-like geometry to three Fe and one Ni atom. In the twenty-eighth O site, O is bonded in a rectangular see-saw-like geometry to one Li, two Fe, and one Ni atom. In the twenty-ninth O site, O is bonded in a distorted rectangular see-saw-like geometry to two Li and two Fe atoms. In the thirtieth O site, O is bonded in a distorted rectangular see-saw-like geometry to one Li and three Fe atoms. In the thirty-first O site, O is bonded in a rectangular see-saw-like geometry to two Li and two Fe atoms. In the thirty-second O site, O is bonded to two Li and two Fe atoms to form distorted corner-sharing OLi2Fe2 trigonal pyramids.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Na5Li4Ti5O14 by Materials Project

Na5Li4Ti5O14 is Caswellsilverite-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are five inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with five TiO6 octahedra, edges with two LiO6 octahedra, edges with four TiO6 octahedra, and edges with six NaO6 octahedra. The corner-sharing octahedra tilt angles range from 12–14°. There are a spread of Na–O bond distances ranging from 2.28–2.41 Å. In the second Na1+ site, Na1+ is bonded to six O2- atoms to form NaO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with five TiO6 octahedra, edges with three LiO6 octahedra, edges with four TiO6 octahedra, and edges with five NaO6 octahedra. The corner-sharing octahedra tilt angles range from 9–13°. There are a spread of Na–O bond distances ranging from 2.29–2.42 Å. In the third Na1+ site, Na1+ is bonded to six O2- atoms to form NaO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with five TiO6 octahedra, edges with three NaO6 octahedra, edges with four TiO6 octahedra, and edges with five LiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–13°. There are a spread of Na–O bond distances ranging from 2.29–2.41 Å. In the fourth Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share corners with three LiO6 octahedra, corners with three TiO6 octahedra, edges with two LiO6 octahedra, edges with five NaO6 octahedra, and edges with five TiO6 octahedra. The corner-sharing octahedra tilt angles range from 9–16°. There are a spread of Na–O bond distances ranging from 2.28–2.39 Å. In the fifth Na1+ site, Na1+ is bonded to six O2- atoms to form NaO6 octahedra that share corners with three LiO6 octahedra, corners with three TiO6 octahedra, edges with three NaO6 octahedra, edges with four LiO6 octahedra, and edges with five TiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–15°. There are a spread of Na–O bond distances ranging from 2.26–2.38 Å. There are four inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with two LiO6 octahedra, corners with four TiO6 octahedra, edges with four NaO6 octahedra, edges with four LiO6 octahedra, and edges with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–12°. There are a spread of Li–O bond distances ranging from 2.07–2.46 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with five NaO6 octahedra, edges with two LiO6 octahedra, edges with four NaO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 11–15°. There are a spread of Li–O bond distances ranging from 2.12–2.30 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with five TiO6 octahedra, edges with four NaO6 octahedra, edges with four LiO6 octahedra, and edges with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 9–12°. There are a spread of Li–O bond distances ranging from 2.14–2.37 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with four NaO6 octahedra, edges with two LiO6 octahedra, edges with four NaO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 10–16°. There are a spread of Li–O bond distances ranging from 2.10–2.28 Å. There are five inequivalent Ti+3.80+ sites. In the first Ti+3.80+ site, Ti+3.80+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two LiO6 octahedra, corners with four NaO6 octahedra, edges with three TiO6 octahedra, edges with four NaO6 octahedra, and edges with five LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–14°. There are a spread of Ti–O bond distances ranging from 1.95–2.14 Å. In the second Ti+3.80+ site, Ti+3.80+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two LiO6 octahedra, corners with four NaO6 octahedra, edges with three TiO6 octahedra, edges with four NaO6 octahedra, and edges with five LiO6 octahedra. The corner-sharing octahedra tilt angles range from 9–12°. There are a spread of Ti–O bond distances ranging from 1.98–2.04 Å. In the third Ti+3.80+ site, Ti+3.80+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with four NaO6 octahedra, edges with three LiO6 octahedra, edges with four TiO6 octahedra, and edges with five NaO6 octahedra. The corner-sharing octahedra tilt angles range from 9–13°. There are a spread of Ti–O bond distances ranging from 1.94–2.16 Å. In the fourth Ti+3.80+ site, Ti+3.80+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with four NaO6 octahedra, edges with three LiO6 octahedra, edges with four TiO6 octahedra, and edges with five NaO6 octahedra. The corner-sharing octahedra tilt angles range from 7–14°. There are a spread of Ti–O bond distances ranging from 1.99–2.05 Å. In the fifth Ti+3.80+ site, Ti+3.80+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with five NaO6 octahedra, edges with four NaO6 octahedra, edges with four LiO6 octahedra, and edges with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–12°. There are a spread of Ti–O bond distances ranging from 1.91–2.16 Å. There are fourteen inequivalent O2- sites. In the first O2- site, O2- is bonded to one Na1+, three Li1+, and two Ti+3.80+ atoms to form a mixture of corner and edge-sharing ONaLi3Ti2 octahedra. The corner-sharing octahedra tilt angles range from 2–7°. In the second O2- site, O2- is bonded to three Na1+, one Li1+, and two Ti+3.80+ atoms to form a mixture of corner and edge-sharing ONa3LiTi2 octahedra. The corner-sharing octahedra tilt angles range from 1–11°. In the third O2- site, O2- is bonded to three Na1+, one Li1+, and two Ti+3.80+ atoms to form a mixture of corner and edge-sharing ONa3LiTi2 octahedra. The corner-sharing octahedra tilt angles range from 2–10°. In the fourth O2- site, O2- is bonded to one Na1+, three Li1+, and two Ti+3.80+ atoms to form ONaLi3Ti2 octahedra that share corners with six ONa3LiTi2 octahedra and edges with twelve ONaLi3Ti2 octahedra. The corner-sharing octahedra tilt angles range from 1–9°. In the fifth O2- site, O2- is bonded to two Na1+, two Li1+, and two Ti+3.80+ atoms to form distorted ONa2Li2Ti2 octahedra that share corners with six ONa3LiTi2 octahedra and edges with twelve ONaLi3Ti2 octahedra. The corner-sharing octahedra tilt angles range from 1–10°. In the sixth O2- site, O2- is bonded to two Na1+, two Li1+, and two Ti+3.80+ atoms to form a mixture of distorted corner and edge-sharing ONa2Li2Ti2 octahedra. The corner-sharing octahedra tilt angles range from 2–10°. In the seventh O2- site, O2- is bonded to three Na1+, one Li1+, and two Ti+3.80+ atoms to form ONa3LiTi2 octahedra that share corners with six ONaLi3Ti2 octahedra and edges with twelve ONa3LiTi2 octahedra. The corner-sharing octahedra tilt angles range from 2–9°. In the eighth O2- site, O2- is bonded to two Na1+, one Li1+, and three Ti+3.80+ atoms to form a mixture of corner and edge-sharing ONa2LiTi3 octahedra. The corner-sharing octahedra tilt angles range from 2–7°. In the ninth O2- site, O2- is bonded to two Na1+, two Li1+, and two Ti+3.80+ atoms to form ONa2Li2Ti2 octahedra that share corners with six ONa3LiTi2 octahedra and edges with twelve ONaLi3Ti2 octahedra. The corner-sharing octahedra tilt angles range from 1–10°. In the tenth O2- site, O2- is bonded to three Na1+ and three Ti+3.80+ atoms to form a mixture of corner and edge-sharing ONa3Ti3 octahedra. The corner-sharing octahedra tilt angles range from 2–8°. In the eleventh O2- site, O2- is bonded to three Na1+, one Li1+, and two Ti+3.80+ atoms to form a mixture of corner and edge-sharing ONa3LiTi2 octahedra. The corner-sharing octahedra tilt angles range from 2–10°. In the twelfth O2- site, O2- is bonded to one Na1+, three Li1+, and two Ti+3.80+ atoms to form a mixture of corner and edge-sharing ONaLi3Ti2 octahedra. The corner-sharing octahedra tilt angles range from 1–10°. In the thirteenth O2- site, O2- is bonded to one Na1+, three Li1+, and two Ti+3.80+ atoms to form a mixture of corner and edge-sharing ONaLi3Ti2 octahedra. The corner-sharing octahedra tilt angles range from 1–8°. In the fourteenth O2- site, O2- is bonded to three Na1+, one Li1+, and two Ti+3.80+ atoms to form ONa3LiTi2 octahedra that share corners with six ONa3LiTi2 octahedra and edges with twelve ONaLi3Ti2 octahedra. The corner-sharing octahedra tilt angles range from 1–11°.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Li2Cr3NiO8 by Materials Project

Li2Cr3NiO8 is Spinel-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three NiO6 octahedra and corners with nine CrO6 octahedra. The corner-sharing octahedra tilt angles range from 53–65°. There are a spread of Li–O bond distances ranging from 1.97–2.00 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three NiO6 octahedra and corners with nine CrO6 octahedra. The corner-sharing octahedra tilt angles range from 55–67°. There are a spread of Li–O bond distances ranging from 1.97–2.01 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three NiO6 octahedra and corners with nine CrO6 octahedra. The corner-sharing octahedra tilt angles range from 53–64°. There are a spread of Li–O bond distances ranging from 1.98–2.03 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three NiO6 octahedra and corners with nine CrO6 octahedra. The corner-sharing octahedra tilt angles range from 54–67°. There are a spread of Li–O bond distances ranging from 1.98–2.03 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three NiO6 octahedra and corners with nine CrO6 octahedra. The corner-sharing octahedra tilt angles range from 55–65°. All Li–O bond lengths are 1.99 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three NiO6 octahedra and corners with nine CrO6 octahedra. The corner-sharing octahedra tilt angles range from 52–68°. There are two shorter (1.99 Å) and two longer (2.01 Å) Li–O bond lengths. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three NiO6 octahedra and corners with nine CrO6 octahedra. The corner-sharing octahedra tilt angles range from 56–64°. There are a spread of Li–O bond distances ranging from 1.97–2.02 Å. In the eighth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three NiO6 octahedra and corners with nine CrO6 octahedra. The corner-sharing octahedra tilt angles range from 52–65°. There are a spread of Li–O bond distances ranging from 1.98–2.00 Å. There are twelve inequivalent Cr4+ sites. In the first Cr4+ site, Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra, edges with two NiO6 octahedra, and edges with four CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 1.87–2.03 Å. In the second Cr4+ site, Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra, edges with two NiO6 octahedra, and edges with four CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 1.86–2.01 Å. In the third Cr4+ site, Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra, edges with two NiO6 octahedra, and edges with four CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 1.85–2.00 Å. In the fourth Cr4+ site, Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra, edges with two NiO6 octahedra, and edges with four CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 1.87–1.99 Å. In the fifth Cr4+ site, Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra, edges with two NiO6 octahedra, and edges with four CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 1.99–2.04 Å. In the sixth Cr4+ site, Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra, edges with two NiO6 octahedra, and edges with four CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 1.91–1.99 Å. In the seventh Cr4+ site, Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra, edges with two NiO6 octahedra, and edges with four CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 1.90–2.06 Å. In the eighth Cr4+ site, Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra, edges with two NiO6 octahedra, and edges with four CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 1.87–2.00 Å. In the ninth Cr4+ site, Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra, edges with two NiO6 octahedra, and edges with four CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 1.88–2.00 Å. In the tenth Cr4+ site, Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra, edges with two NiO6 octahedra, and edges with four CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 1.89–2.00 Å. In the eleventh Cr4+ site, Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra, edges with two NiO6 octahedra, and edges with four CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 1.88–1.99 Å. In the twelfth Cr4+ site, Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra, edges with two NiO6 octahedra, and edges with four CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 1.88–1.99 Å. There are four inequivalent Ni2+ sites. In the first Ni2+ site, Ni2+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six LiO4 tetrahedra and edges with six CrO6 octahedra. There are a spread of Ni–O bond distances ranging from 1.91–2.15 Å. In the second Ni2+ site, Ni2+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six LiO4 tetrahedra and edges with six CrO6 octahedra. There are a spread of Ni–O bond distances ranging from 2.05–2.13 Å. In the third Ni2+ site, Ni2+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six LiO4 tetrahedra and edges with six CrO6 octahedra. There are a spread of Ni–O bond distances ranging from 2.05–2.16 Å. In the fourth Ni2+ site, Ni2+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six LiO4 tetrahedra and edges with six CrO6 octahedra. There are a spread of Ni–O bond distances ranging from 2.04–2.15 Å. There are thirty-two inequivalent O2- sites. In the first O2- site, O2- is bonded to one Li1+, two Cr4+, and one Ni2+ atom to form a mixture of distorted edge and corner-sharing OLiCr2Ni trigonal pyramids. In the second O2- site, O2- is bonded to one Li1+, two Cr4+, and one Ni2+ atom to form a mixture of distorted edge and corner-sharing OLiCr2Ni tetrahedra. In the third O2- site, O2- is bonded to one Li1+ and three Cr4+ atoms to form distorted OLiCr3 trigonal pyramids that share corners with two OLiCr2Ni tetrahedra, corners with four OLiCr3 trigonal pyramids, and edges with two OLiCr2Ni trigonal pyramids. In the fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Cr4+, and one Ni2+ atom. In the fifth O2- site, O2- is bonded to one Li1+, two Cr4+, and one Ni2+ atom to form distorted OLiCr2Ni trigonal pyramids that share a cornercorner with one OLiCr2Ni tetrahedra, corners with six OLiCr2Ni trigonal pyramids, and edges with two OLiCr3 trigonal pyramids. In the sixth O2- site, O2- is bonded to one Li1+ and three Cr4+ atoms to form distorted OLiCr3 trigonal pyramids that share corners with two OLiCr3 tetrahedra, corners with four OLiCr2Ni trigonal pyramids, an edgeedge with one OLiCr2Ni tetrahedra, and an edgeedge with one OLiCr2Ni trigonal pyramid. In the seventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, two Cr4+, and one Ni2+ atom. In the eighth O2- site, O2- is bonded to one Li1+, two Cr4+, and one Ni2+ atom to form a mixture of distorted edge and corner-sharing OLiCr2Ni trigonal pyramids. In the ninth O2- site, O2- is bonded to one Li1+, two Cr4+, and one Ni2+ atom to form distorted OLiCr2Ni trigonal pyramids that share corners with three OLiCr2Ni tetrahedra, corners with three OLiCr2Ni trigonal pyramids, an edgeedge with one OLiCr2Ni tetrahedra, and an edgeedge with one OLiCr3 trigonal pyramid. In the tenth O2- site, O2- is bonded to one Li1+, two Cr4+, and one Ni2+ atom to form a mixture of distorted edge and corner-sharing OLiCr2Ni tetrahedra. In the eleventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Cr4+ atoms. In the twelfth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, two Cr4+, and one Ni2+ atom. In the thirteenth O2- site, O2- is bonded to one Li1+, two Cr4+, and one Ni2+ atom to form a mixture of distorted edge and corner-sharing OLiCr2Ni tetrahedra. In the fourteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Cr4+ atoms. In the fifteenth O2- site, O2- is bonded to one Li1+, two Cr4+, and one Ni2+ atom to form distorted OLiCr2Ni trigonal pyramids that share corners with two OLiCr2Ni tetrahedra, corners with six OLiCr2Ni trigonal pyramids, and edges with two OLiCr3 trigonal pyramids. In the sixteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Cr4+, and one Ni2+ atom. In the seventeenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Cr4+, and one Ni2+ atom. In the eighteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Cr4+, and one Ni2+ atom. In the nineteenth O2- site, O2- is bonded to one Li1+ and three Cr4+ atoms to form a mixture of distorted edge and corner-sharing OLiCr3 trigonal pyramids. In the twentieth O2- site, O2- is bonded to one Li1+, two Cr4+, and one Ni2+ atom to form a mixture of distorted edge and corner-sharing OLiCr2Ni trigonal pyramids. In the twenty-first O2- site, O2- is bonded to one Li1+, two Cr4+, and one Ni2+ atom to form distorted OLiCr2Ni trigonal pyramids that share corners with two OLiCr2Ni tetrahedra, corners with four OLiCr2Ni trigonal pyramids, and edges with two OLiCr3 trigonal pyramids. In the twenty-second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Cr4+ atoms. In the twenty-third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Cr4+, and one Ni2+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Cr4+, and one Ni2+ atom. In the twenty-fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Cr4+, and one Ni2+ atom. In the twenty-sixth O2- site, O2- is bonded to one Li1+, two Cr4+, and one Ni2+ atom to form a mixture of distorted edge and corner-sharing OLiCr2Ni trigonal pyramids. In the twenty-seventh O2- site, O2- is bonded to one Li1+ and three Cr4+ atoms to form distorted OLiCr3 trigonal pyramids that share corners with three OLiCr2Ni tetrahedra, corners with six OLiCr3 trigonal pyramids, and an edgeedge with one OLiCr2Ni trigonal pyramid. In the twenty-eighth O2- site, O2- is bonded to one Li1+, two Cr4+, and one Ni2+ atom to form distorted OLiCr2Ni tetrahedra that share a cornercorner with one OLiCr2Ni tetrahedra, corners with six OLiCr3 trigonal pyramids, edges with two OLiCr2Ni tetrahedra, and an edgeedge with one OLiCr2Ni trigonal pyramid. In the twenty-ninth O2- site, O2- is bonded to one Li1+, two Cr4+, and one Ni2+ atom to form distorted OLiCr2Ni trigonal pyramids that share corners with three OLiCr2Ni tetrahedra, corners with three OLiCr2Ni trigonal pyramids, and an edgeedge with one OLiCr3 trigonal pyramid. In the thirt

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Ca3Ti3Si2GeO15 by Materials Project

Ca3Ti3GeSi2O15 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twelve 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 2.30–2.61 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 2.29–2.60 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 2.30–2.61 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 2.29–2.61 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 2.27–2.68 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 2.27–2.68 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 2.29–2.70 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 2.30–2.70 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 2.31–2.70 Å. In the tenth 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 2.30–2.70 Å. In the eleventh 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 2.29–2.68 Å. In the twelfth 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 2.29–2.68 Å. There are twelve inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two equivalent TiO6 octahedra, corners with two GeO4 tetrahedra, and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 36–39°. There are a spread of Ti–O bond distances ranging from 1.83–2.06 Å. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two equivalent TiO6 octahedra, a cornercorner with one GeO4 tetrahedra, and corners with three SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 38°. There are a spread of Ti–O bond distances ranging from 1.82–2.07 Å. In the third Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two equivalent TiO6 octahedra, a cornercorner with one GeO4 tetrahedra, and corners with three SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 38°. There are a spread of Ti–O bond distances ranging from 1.82–2.07 Å. In the fourth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two equivalent TiO6 octahedra, corners with two GeO4 tetrahedra, and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 36–38°. There are a spread of Ti–O bond distances ranging from 1.83–2.06 Å. In the fifth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two equivalent TiO6 octahedra, a cornercorner with one GeO4 tetrahedra, and corners with three SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 34–38°. There are a spread of Ti–O bond distances ranging from 1.83–2.06 Å. In the sixth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two equivalent TiO6 octahedra, a cornercorner with one GeO4 tetrahedra, and corners with three SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 34–38°. There are a spread of Ti–O bond distances ranging from 1.83–2.06 Å. In the seventh Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two equivalent TiO6 octahedra, corners with two GeO4 tetrahedra, and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 36–38°. There are a spread of Ti–O bond distances ranging from 1.81–2.06 Å. In the eighth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two equivalent TiO6 octahedra, a cornercorner with one GeO4 tetrahedra, and corners with three SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 34–38°. There are a spread of Ti–O bond distances ranging from 1.82–2.05 Å. In the ninth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two equivalent TiO6 octahedra, a cornercorner with one GeO4 tetrahedra, and corners with three SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 34–38°. There are a spread of Ti–O bond distances ranging from 1.82–2.05 Å. In the tenth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two equivalent TiO6 octahedra, corners with two GeO4 tetrahedra, and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 36–39°. There are a spread of Ti–O bond distances ranging from 1.81–2.06 Å. In the eleventh Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two equivalent TiO6 octahedra, a cornercorner with one GeO4 tetrahedra, and corners with three SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 38°. There are a spread of Ti–O bond distances ranging from 1.81–2.07 Å. In the twelfth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two equivalent TiO6 octahedra, a cornercorner with one GeO4 tetrahedra, and corners with three SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 38°. There are a spread of Ti–O bond distances ranging from 1.81–2.07 Å. There are four inequivalent Ge4+ sites. In the first Ge4+ site, Ge4+ is bonded to four O2- atoms to form GeO4 tetrahedra that share corners with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 41–56°. There is one shorter (1.76 Å) and three longer (1.77 Å) Ge–O bond length. In the second Ge4+ site, Ge4+ is bonded to four O2- atoms to form GeO4 tetrahedra that share corners with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 40–56°. All Ge–O bond lengths are 1.77 Å. In the third Ge4+ site, Ge4+ is bonded to four O2- atoms to form GeO4 tetrahedra that share corners with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 40–56°. All Ge–O bond lengths are 1.77 Å. In the fourth Ge4+ site, Ge4+ is bonded to four O2- atoms to form GeO4 tetrahedra that share corners with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 41–57°. There is one shorter (1.76 Å) and three longer (1.77 Å) Ge–O bond length. There are eight inequivalent Si4+ sites. In the first 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 35–53°. There is three shorter (1.65 Å) and one longer (1.66 Å) Si–O bond length. In the second 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 35–53°. 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 corners with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 35–52°. There is two shorter (1.65 Å) and two longer (1.66 Å) Si–O bond length. 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 34–52°. 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 corners with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 35–52°. There is two shorter (1.65 Å) and two 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 35–52°. 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 35–52°. There is two shorter (1.64 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 35–52°. There are a spread of Si–O bond distances ranging from 1.64–1.66 Å. There are sixty inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to two Ca2+, one Ti4+, and one Si4+ atom. In the second O2- site, O2- is bonded in a 4-coordinate geometry to two Ca2+, one Ti4+, and one Si4+ atom. In the third O2- site, O2- is bonded in a 4-coordinate geometry to two Ca2+, one Ti4+, and one Si4+ atom. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to two Ca2+, one Ti4+, and one Si4+ atom. In the fifth O2- site, O2- is bonded in a 4-coordinate geometry to two Ca2+, one Ti4+, and one Si4+ atom. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to two Ca2+, one Ti4+, and one Si4+ atom. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to two Ca2+, one Ti4+, and one Ge4+ atom. In the eighth O2- site, O2- is bonded in a 4-coordinate geometry to two Ca2+, one Ti4+, and one Ge4+ atom. In the ninth O2- site, O2- is bonded in a 4-coordinate geometry to two Ca2+, one Ti4+, and one Ge4+ atom. In the tenth O2- site, O2- is bonded in a 4-coordinate geometry to two Ca2+, one Ti4+, and one Ge4+ 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 3-coordinate geometry to one Ca2+, one Ti4+, and one Ge4+ atom. In the fourteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Ca2+, one Ti4+, and one Ge4+ atom. In the fifteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Ca2+, one Ti4+, and one Ge4+ atom. In the sixteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Ca2+, one Ti4+, and one Ge4+ atom. In the seventeenth O2- site, O2- is bonded in a 3-coordinate geometry to one Ca2+, one Ti4+, and one Si4+ 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 3-coordinate geometry to one Ca2+, one Ti4+, and one Si4+ atom. In the twentieth O2- site, O2- is bonded in a 3-coordinate geometry to one Ca2+, one Ti4+, and one Si4+ atom. In the twenty-first O2- site, O2- is bonded in a 3-coordinate geometry to one Ca2+, one Ti4+, and one Si4+ atom. In the twenty-second O2- site, O2- is bonded in a 3-coordinate geometry to one 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+, one Ti4+, and one Si4+ atom. In the twenty-fifth O2- site, O2- is bonded in a 3-coordinate geometry to one Ca2+ and two Ti4+ atoms. In the twenty-sixth O2

36 MATERIALS SCIENCE↗