DOI: 10.17188/1263378
title: Materials Data on Yb4Zr3O12 by Materials Project

description: 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