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All sourcesNASA NTRSDOE OSTI
DOE OSTI2020

Materials Data on Yb4Zr3O12 by Materials Project

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

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Yb4Zr3O12 by Materials Project

Zr3Yb4O12 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are four inequivalent Yb3+ sites. In the first Yb3+ site, Yb3+ is bonded to seven O2- atoms to form distorted YbO7 pentagonal bipyramids that share a cornercorner with one ZrO6 octahedra, an edgeedge with one ZrO6 octahedra, an edgeedge with one ZrO7 pentagonal bipyramid, and edges with two YbO7 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 55°. There are a spread of Yb–O bond distances ranging from 2.29–2.56 Å. In the second Yb3+ site, Yb3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Yb–O bond distances ranging from 2.25–2.45 Å. In the third Yb3+ site, Yb3+ is bonded to seven O2- atoms to form distorted YbO7 pentagonal bipyramids that share a cornercorner with one ZrO6 octahedra, a cornercorner with one ZrO7 pentagonal bipyramid, an edgeedge with one ZrO6 octahedra, an edgeedge with one YbO7 pentagonal bipyramid, and edges with two equivalent ZrO7 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 54°. There are a spread of Yb–O bond distances ranging from 2.29–2.50 Å. In the fourth Yb3+ site, Yb3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Yb–O bond distances ranging from 2.25–2.43 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 ZrO7 pentagonal bipyramid, corners with two YbO7 pentagonal bipyramids, an edgeedge with one ZrO7 pentagonal bipyramid, and edges with two YbO7 pentagonal bipyramids. There are a spread of Zr–O bond distances ranging from 2.03–2.16 Å. In the second Zr4+ site, Zr4+ is bonded to seven O2- atoms to form distorted ZrO7 pentagonal bipyramids that share a cornercorner with one ZrO6 octahedra, a cornercorner with one YbO7 pentagonal bipyramid, an edgeedge with one ZrO6 octahedra, an edgeedge with one ZrO7 pentagonal bipyramid, and edges with three YbO7 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 39°. There are a spread of Zr–O bond distances ranging from 2.08–2.27 Å. In the third 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 2.05–2.48 Å. There are twelve inequivalent O2- sites. In the first O2- site, O2- is bonded to two Yb3+ and two Zr4+ atoms to form a mixture of distorted corner and edge-sharing OYb2Zr2 tetrahedra. In the second O2- site, O2- is bonded in a 4-coordinate geometry to one Yb3+ and three Zr4+ atoms. In the third O2- site, O2- is bonded in a 4-coordinate geometry to two Yb3+ and two Zr4+ atoms. In the fourth O2- site, O2- is bonded to three Yb3+ and one Zr4+ atom to form distorted OYb3Zr tetrahedra that share corners with six OYb2Zr2 tetrahedra, a cornercorner with one OYb3Zr trigonal pyramid, and edges with three OYb2Zr2 tetrahedra. In the fifth O2- site, O2- is bonded to two equivalent Yb3+ and two Zr4+ atoms to form distorted OYb2Zr2 tetrahedra that share corners with five OYb2Zr2 tetrahedra, corners with three equivalent OYb3Zr trigonal pyramids, and edges with four OYb2Zr2 tetrahedra. In the sixth O2- site, O2- is bonded to two Yb3+ and two Zr4+ atoms to form distorted OYb2Zr2 tetrahedra that share corners with six OYb3Zr tetrahedra, corners with two equivalent OYb3Zr trigonal pyramids, and edges with three OYb2Zr2 tetrahedra. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to two Yb3+ and two equivalent Zr4+ atoms. In the eighth O2- site, O2- is bonded in a 4-coordinate geometry to two Yb3+ and two equivalent Zr4+ atoms. In the ninth O2- site, O2- is bonded to three Yb3+ and one Zr4+ atom to form OYb3Zr tetrahedra that share corners with eight OYb2Zr2 tetrahedra, edges with two OYb3Zr tetrahedra, and an edgeedge with one OYb3Zr trigonal pyramid. In the tenth O2- site, O2- is bonded to three Yb3+ and one Zr4+ atom to form distorted OYb3Zr tetrahedra that share corners with eight OYb2Zr2 tetrahedra, a cornercorner with one OYb3Zr trigonal pyramid, edges with three OYb2Zr2 tetrahedra, and an edgeedge with one OYb3Zr trigonal pyramid. In the eleventh O2- site, O2- is bonded to three Yb3+ and one Zr4+ atom to form distorted OYb3Zr tetrahedra that share corners with seven OYb2Zr2 tetrahedra, corners with two equivalent OYb3Zr trigonal pyramids, edges with three OYb2Zr2 tetrahedra, and an edgeedge with one OYb3Zr trigonal pyramid. In the twelfth O2- site, O2- is bonded to three Yb3+ and one Zr4+ atom to form distorted OYb3Zr trigonal pyramids that share corners with nine OYb3Zr tetrahedra and edges with four OYb2Zr2 tetrahedra.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Yb2Zr2O7 by Materials Project

Yb2Zr2O7 crystallizes in the orthorhombic Pmma space group. The structure is three-dimensional. there are two inequivalent Yb3+ sites. In the first Yb3+ site, Yb3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Yb–O bond distances ranging from 2.23–2.39 Å. In the second Yb3+ site, Yb3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are two shorter (2.25 Å) and four longer (2.35 Å) Yb–O bond lengths. There are two inequivalent Zr4+ sites. In the first Zr4+ site, Zr4+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.13–2.44 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 2.16–2.29 Å. There are five inequivalent O2- sites. In the first O2- site, O2- is bonded to four Zr4+ atoms to form distorted OZr4 tetrahedra that share corners with twelve OZr4 tetrahedra, corners with four equivalent OYbZr3 trigonal pyramids, edges with two OYb2Zr2 tetrahedra, and edges with four equivalent OYbZr3 trigonal pyramids. In the second O2- site, O2- is bonded to one Yb3+ and three Zr4+ atoms to form distorted OYbZr3 trigonal pyramids that share corners with eight OZr4 tetrahedra, corners with six equivalent OYbZr3 trigonal pyramids, edges with five OZr4 tetrahedra, and an edgeedge with one OYbZr3 trigonal pyramid. In the third O2- site, O2- is bonded to two equivalent Yb3+ and two equivalent Zr4+ atoms to form OYb2Zr2 tetrahedra that share corners with ten OZr4 tetrahedra, corners with four equivalent OYbZr3 trigonal pyramids, and edges with five OZr4 tetrahedra. In the fourth O2- site, O2- is bonded to two equivalent Yb3+ and two equivalent Zr4+ atoms to form OYb2Zr2 tetrahedra that share corners with ten OZr4 tetrahedra, corners with four equivalent OYbZr3 trigonal pyramids, an edgeedge with one OZr4 tetrahedra, and edges with four equivalent OYbZr3 trigonal pyramids. In the fifth O2- site, O2- is bonded to three Yb3+ and one Zr4+ atom to form OYb3Zr tetrahedra that share corners with twelve OZr4 tetrahedra, corners with two equivalent OYbZr3 trigonal pyramids, edges with three OYb2Zr2 tetrahedra, and an edgeedge with one OYbZr3 trigonal pyramid.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Yb2Zr8O19 by Materials Project

Yb2Zr8O19 is alpha bismuth trifluoride-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are two inequivalent Yb3+ sites. In the first Yb3+ site, Yb3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Yb–O bond distances ranging from 2.22–2.30 Å. In the second Yb3+ site, Yb3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Yb–O bond distances ranging from 2.21–2.30 Å. There are eight 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 2.15–2.30 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 2.20–2.28 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 2.21–2.27 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 2.21–2.26 Å. In the fifth 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 2.23–2.25 Å. In the sixth 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 2.22–2.26 Å. In the seventh 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 2.19–2.27 Å. In the eighth 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. There are nineteen inequivalent O2- sites. In the first O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the second O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the third O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the fourth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of corner and edge-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 OYb2Zr2 tetrahedra. In the sixth O2- site, O2- is bonded to two equivalent Yb3+ and two equivalent Zr4+ atoms to form OYb2Zr2 tetrahedra that share corners with twelve OYb4 tetrahedra and edges with six OYb2Zr2 tetrahedra. In the seventh O2- site, O2- is bonded to two equivalent Yb3+ and two equivalent Zr4+ atoms to form OYb2Zr2 tetrahedra that share corners with fourteen OYb2Zr2 tetrahedra and edges with five OZr4 tetrahedra. In the eighth O2- site, O2- is bonded to four Yb3+ atoms to form a mixture of corner and edge-sharing OYb4 tetrahedra. In the ninth O2- site, O2- is bonded to two equivalent Yb3+ and two equivalent Zr4+ atoms to form a mixture of corner and edge-sharing OYb2Zr2 tetrahedra. In the tenth O2- site, O2- is bonded to two equivalent Yb3+ and two equivalent Zr4+ atoms to form OYb2Zr2 tetrahedra that share corners with fourteen OYb4 tetrahedra and edges with five OYb2Zr2 tetrahedra. In the eleventh O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the twelfth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the thirteenth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the fourteenth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the fifteenth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the sixteenth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the seventeenth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the eighteenth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the nineteenth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Yb4Zr3O12 by Materials Project

Zr3Yb4O12 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are two inequivalent Yb3+ sites. In the first Yb3+ site, Yb3+ is bonded to seven O2- atoms to form distorted YbO7 pentagonal bipyramids that share a cornercorner with one YbO7 hexagonal pyramid, a cornercorner with one ZrO6 octahedra, edges with three equivalent YbO7 hexagonal pyramids, an edgeedge with one ZrO6 octahedra, and edges with two equivalent YbO7 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 50°. There are a spread of Yb–O bond distances ranging from 2.27–2.46 Å. In the second Yb3+ site, Yb3+ is bonded to seven O2- atoms to form distorted YbO7 hexagonal pyramids that share a cornercorner with one ZrO6 octahedra, a cornercorner with one YbO7 pentagonal bipyramid, edges with two equivalent YbO7 hexagonal pyramids, an edgeedge with one ZrO6 octahedra, and edges with three equivalent YbO7 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 57°. There are a spread of Yb–O bond distances ranging from 2.30–2.43 Å. There are two inequivalent Zr4+ sites. In the first Zr4+ site, Zr4+ is bonded to six O2- atoms to form ZrO6 octahedra that share corners with two equivalent YbO7 hexagonal pyramids, corners with two equivalent YbO7 pentagonal bipyramids, edges with two equivalent YbO7 hexagonal pyramids, and edges with two equivalent YbO7 pentagonal bipyramids. There are a spread of Zr–O bond distances ranging from 2.10–2.14 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 2.08–2.36 Å. There are six inequivalent O2- sites. In the first O2- site, O2- is bonded to three Yb3+ and one Zr4+ atom to form OYb3Zr tetrahedra that share corners with six OYb3Zr tetrahedra, corners with three equivalent OYbZr3 trigonal pyramids, and edges with three OYb3Zr tetrahedra. In the second O2- site, O2- is bonded in a 4-coordinate geometry to two Yb3+ and two equivalent Zr4+ atoms. In the third O2- site, O2- is bonded to three Yb3+ and one Zr4+ atom to form distorted OYb3Zr tetrahedra that share corners with six OYb3Zr tetrahedra, corners with two equivalent OYbZr3 trigonal pyramids, edges with two OYb3Zr tetrahedra, and an edgeedge with one OYbZr3 trigonal pyramid. In the fourth O2- site, O2- is bonded to one Yb3+ and three Zr4+ atoms to form distorted OYbZr3 trigonal pyramids that share corners with seven OYb3Zr tetrahedra, a cornercorner with one OYbZr3 trigonal pyramid, edges with two OYb3Zr tetrahedra, and an edgeedge with one OYbZr3 trigonal pyramid. In the fifth O2- site, O2- is bonded in a 4-coordinate geometry to three Yb3+ and one Zr4+ atom. In the sixth O2- site, O2- is bonded to two equivalent Yb3+ and two Zr4+ atoms to form distorted OYb2Zr2 tetrahedra that share corners with seven OYb3Zr tetrahedra, corners with two equivalent OYbZr3 trigonal pyramids, edges with two OYb3Zr tetrahedra, and an edgeedge with one OYbZr3 trigonal pyramid.

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