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Materials Data on Ho2Zr8O19 by Materials Project

Ho2Zr8O19 is alpha bismuth trifluoride-derived structured and crystallizes in the tetragonal P-4m2 space group. The structure is three-dimensional. Ho3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ho–O bond distances ranging from 2.10–2.32 Å. There are four inequivalent Zr4+ sites. In the first Zr4+ site, Zr4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.14–2.31 Å. In the second Zr4+ site, Zr4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.15–2.30 Å. In the third Zr4+ site, Zr4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.17–2.29 Å. In the fourth Zr4+ site, Zr4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.19–2.26 Å. There are eleven inequivalent O2- sites. In the first O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the second O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the third O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the fourth O2- site, O2- is bonded to four equivalent Zr4+ atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the fifth O2- site, O2- is bonded to four Zr4+ atoms to form OZr4 tetrahedra that share corners with sixteen OZr4 tetrahedra and edges with six OHo2Zr2 tetrahedra. In the sixth O2- site, O2- is bonded to two equivalent Ho3+ and two equivalent Zr4+ atoms to form a mixture of edge and corner-sharing OHo2Zr2 tetrahedra. In the seventh O2- site, O2- is bonded to two equivalent Ho3+ and two equivalent Zr4+ atoms to form OHo2Zr2 tetrahedra that share corners with fourteen OZr4 tetrahedra and edges with five OHo2Zr2 tetrahedra. In the eighth O2- site, O2- is bonded to four equivalent Ho3+ atoms to form a mixture of edge and corner-sharing OHo4 tetrahedra. In the ninth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the tenth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the eleventh O2- site, O2- is bonded to four equivalent Zr4+ atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on Ho2Zr2O7 by Materials Project

Ho2Zr2O7 crystallizes in the orthorhombic Pmma space group. The structure is three-dimensional. there are two inequivalent Ho3+ sites. In the first Ho3+ site, Ho3+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing HoO6 octahedra. The corner-sharing octahedral tilt angles are 68°. There are two shorter (2.27 Å) and four longer (2.29 Å) Ho–O bond lengths. In the second Ho3+ site, Ho3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ho–O bond distances ranging from 2.17–2.31 Å. There are two inequivalent Zr4+ sites. In the first Zr4+ site, Zr4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.16–2.58 Å. In the second Zr4+ site, Zr4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.21–2.35 Å. There are five inequivalent O2- sites. In the first O2- site, O2- is bonded to two equivalent Ho3+ and two equivalent Zr4+ atoms to form OHo2Zr2 tetrahedra that share corners with ten OHo2Zr2 tetrahedra and an edgeedge with one OZr4 tetrahedra. In the second O2- site, O2- is bonded in a 4-coordinate geometry to three Ho3+ and one Zr4+ atom. In the third O2- site, O2- is bonded to two equivalent Ho3+ and two equivalent Zr4+ atoms to form OHo2Zr2 tetrahedra that share corners with ten OHo2Zr2 tetrahedra and edges with five OZr4 tetrahedra. In the fourth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the fifth O2- site, O2- is bonded to one Ho3+ and three Zr4+ atoms to form a mixture of edge and corner-sharing OHoZr3 tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on Ho4Zr3O12 by Materials Project

Ho4Zr3O12 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are four inequivalent Ho3+ sites. In the first Ho3+ site, Ho3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Ho–O bond distances ranging from 2.20–2.69 Å. In the second Ho3+ site, Ho3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Ho–O bond distances ranging from 2.24–2.61 Å. In the third Ho3+ site, Ho3+ is bonded to seven O2- atoms to form distorted HoO7 pentagonal bipyramids that share a cornercorner with one ZrO6 octahedra and an edgeedge with one ZrO6 octahedra. The corner-sharing octahedral tilt angles are 52°. There are a spread of Ho–O bond distances ranging from 2.19–2.51 Å. In the fourth Ho3+ site, Ho3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Ho–O bond distances ranging from 2.22–2.62 Å. There are three inequivalent Zr4+ sites. In the first Zr4+ site, Zr4+ is bonded to six O2- atoms to form ZrO6 octahedra that share a cornercorner with one HoO7 pentagonal bipyramid and an edgeedge with one HoO7 pentagonal bipyramid. There are a spread of Zr–O bond distances ranging from 2.10–2.17 Å. In the second Zr4+ site, Zr4+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Zr–O bond distances ranging from 2.10–2.62 Å. In the third Zr4+ site, Zr4+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Zr–O bond distances ranging from 2.08–2.23 Å. There are twelve inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to two Ho3+ and two Zr4+ atoms. In the second O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Ho3+ and two Zr4+ atoms. In the third O2- site, O2- is bonded in a 4-coordinate geometry to two Ho3+ and two Zr4+ atoms. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Ho3+ and two Zr4+ atoms. In the fifth O2- site, O2- is bonded to three Ho3+ and one Zr4+ atom to form distorted OHo3Zr tetrahedra that share corners with six OHo2Zr2 tetrahedra and edges with three OHo3Zr tetrahedra. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to two Ho3+ and two Zr4+ atoms. In the seventh O2- site, O2- is bonded to two Ho3+ and two equivalent Zr4+ atoms to form a mixture of distorted edge and corner-sharing OHo2Zr2 tetrahedra. In the eighth O2- site, O2- is bonded to two Ho3+ and two equivalent Zr4+ atoms to form distorted OHo2Zr2 tetrahedra that share corners with six OHo3Zr tetrahedra and edges with three OHo2Zr2 tetrahedra. In the ninth O2- site, O2- is bonded to three Ho3+ and one Zr4+ atom to form a mixture of edge and corner-sharing OHo3Zr tetrahedra. In the tenth O2- site, O2- is bonded in a 4-coordinate geometry to three Ho3+ and one Zr4+ atom. In the eleventh O2- site, O2- is bonded to three Ho3+ and one Zr4+ atom to form a mixture of edge and corner-sharing OHo3Zr tetrahedra. In the twelfth O2- site, O2- is bonded to three Ho3+ and one Zr4+ atom to form distorted OHo3Zr tetrahedra that share corners with six OHo3Zr tetrahedra and edges with three OHo2Zr2 tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on Ho2Zr2O7 by Materials Project

Ho2Zr2O7 crystallizes in the cubic Fd-3m space group. The structure is three-dimensional. Ho3+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are two shorter (2.29 Å) and six longer (2.50 Å) Ho–O bond lengths. Zr4+ is bonded to six equivalent O2- atoms to form corner-sharing ZrO6 octahedra. The corner-sharing octahedral tilt angles are 55°. All Zr–O bond lengths are 2.11 Å. There are two inequivalent O2- sites. In the first O2- site, O2- is bonded to two equivalent Ho3+ and two equivalent Zr4+ atoms to form a mixture of distorted corner and edge-sharing OHo2Zr2 tetrahedra. In the second O2- site, O2- is bonded to four equivalent Ho3+ atoms to form a mixture of corner and edge-sharing OHo4 tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on Ho2Zr2O7 by Materials Project

Ho2Zr2O7 crystallizes in the monoclinic P2_1 space group. The structure is three-dimensional. there are four inequivalent Ho3+ sites. In the first Ho3+ site, Ho3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Ho–O bond distances ranging from 2.22–2.63 Å. In the second Ho3+ site, Ho3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ho–O bond distances ranging from 2.23–2.46 Å. In the third Ho3+ site, Ho3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Ho–O bond distances ranging from 2.26–2.61 Å. In the fourth Ho3+ site, Ho3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Ho–O bond distances ranging from 2.26–2.93 Å. There are four inequivalent Zr4+ sites. In the first Zr4+ site, Zr4+ is bonded to six O2- atoms to form corner-sharing ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 41–49°. There are a spread of Zr–O bond distances ranging from 2.03–2.18 Å. In the second Zr4+ site, Zr4+ is bonded to six O2- atoms to form corner-sharing ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 35–49°. There are a spread of Zr–O bond distances ranging from 2.01–2.30 Å. In the third Zr4+ site, Zr4+ is bonded to six O2- atoms to form corner-sharing ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 42–54°. There are a spread of Zr–O bond distances ranging from 2.00–2.25 Å. In the fourth Zr4+ site, Zr4+ is bonded to six O2- atoms to form distorted corner-sharing ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 33–54°. There are a spread of Zr–O bond distances ranging from 2.01–2.40 Å. There are fourteen inequivalent O2- sites. In the first O2- site, O2- is bonded to three Ho3+ and one Zr4+ atom to form distorted corner-sharing OHo3Zr tetrahedra. In the second O2- site, O2- is bonded in a 4-coordinate geometry to two Ho3+ and two Zr4+ atoms. In the third O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Ho3+ and two Zr4+ atoms. In the fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Ho3+ and two Zr4+ atoms. In the fifth O2- site, O2- is bonded in a 4-coordinate geometry to three Ho3+ and one Zr4+ atom. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to two Ho3+ and two equivalent Zr4+ atoms. In the seventh O2- site, O2- is bonded in a 3-coordinate geometry to two Ho3+ and two Zr4+ atoms. In the eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Ho3+ and one Zr4+ atom. In the ninth O2- site, O2- is bonded in a 4-coordinate geometry to two Ho3+ and two Zr4+ atoms. In the tenth O2- site, O2- is bonded in a distorted tetrahedral geometry to two Ho3+ and two Zr4+ atoms. In the eleventh O2- site, O2- is bonded in a distorted see-saw-like geometry to two Ho3+ and two Zr4+ atoms. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to three Ho3+ and one Zr4+ atom. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Ho3+ and two equivalent Zr4+ atoms. In the fourteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Ho3+ and two Zr4+ atoms.

36 MATERIALS SCIENCE↗