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Materials Data on Y6Zr22O53 by Materials Project

Y6Zr22O53 crystallizes in the orthorhombic Pmm2 space group. The structure is three-dimensional. there are six inequivalent Y sites. In the first Y site, Y is bonded in a distorted body-centered cubic geometry to eight O atoms. There are a spread of Y–O bond distances ranging from 2.20–2.60 Å. In the second Y site, Y is bonded in a distorted body-centered cubic geometry to eight O atoms. There are a spread of Y–O bond distances ranging from 2.22–2.60 Å. In the third Y site, Y is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Y–O bond distances ranging from 2.13–2.45 Å. In the fourth Y site, Y is bonded in a distorted body-centered cubic geometry to eight O atoms. There are a spread of Y–O bond distances ranging from 2.22–2.60 Å. In the fifth Y site, Y is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Y–O bond distances ranging from 2.12–2.44 Å. In the sixth Y site, Y is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Y–O bond distances ranging from 2.07–2.40 Å. There are twenty-two inequivalent Zr sites. In the first Zr site, Zr is bonded in a distorted body-centered cubic geometry to eight O atoms. There are a spread of Zr–O bond distances ranging from 2.12–2.43 Å. In the second Zr site, Zr is bonded in a distorted body-centered cubic geometry to eight O atoms. There are a spread of Zr–O bond distances ranging from 2.08–2.47 Å. In the third Zr site, Zr is bonded in a distorted body-centered cubic geometry to eight O atoms. There are a spread of Zr–O bond distances ranging from 2.08–2.45 Å. In the fourth Zr site, Zr is bonded in a distorted body-centered cubic geometry to eight O atoms. There are a spread of Zr–O bond distances ranging from 2.08–2.48 Å. In the fifth Zr site, Zr is bonded in a distorted body-centered cubic geometry to eight O atoms. There are a spread of Zr–O bond distances ranging from 2.08–2.47 Å. In the sixth Zr site, Zr is bonded in a distorted body-centered cubic geometry to eight O atoms. There are a spread of Zr–O bond distances ranging from 2.08–2.47 Å. In the seventh Zr site, Zr is bonded in a distorted body-centered cubic geometry to eight O atoms. There are a spread of Zr–O bond distances ranging from 2.08–2.48 Å. In the eighth Zr site, Zr is bonded in a distorted body-centered cubic geometry to eight O atoms. There are a spread of Zr–O bond distances ranging from 2.09–2.45 Å. In the ninth Zr site, Zr is bonded in a body-centered cubic geometry to eight O atoms. There are a spread of Zr–O bond distances ranging from 2.13–2.40 Å. In the tenth Zr site, Zr is bonded in a distorted body-centered cubic geometry to eight O atoms. There are a spread of Zr–O bond distances ranging from 2.11–2.48 Å. In the eleventh Zr site, Zr is bonded in a distorted body-centered cubic geometry to eight O atoms. There are a spread of Zr–O bond distances ranging from 2.10–2.50 Å. In the twelfth Zr site, Zr is bonded in a distorted body-centered cubic geometry to eight O atoms. There are a spread of Zr–O bond distances ranging from 2.10–2.51 Å. In the thirteenth Zr site, Zr is bonded in a distorted body-centered cubic geometry to eight O atoms. There are a spread of Zr–O bond distances ranging from 2.10–2.51 Å. In the fourteenth Zr site, Zr is bonded in a distorted body-centered cubic geometry to eight O atoms. There are a spread of Zr–O bond distances ranging from 2.10–2.51 Å. In the fifteenth Zr site, Zr is bonded in a distorted body-centered cubic geometry to eight O atoms. There are a spread of Zr–O bond distances ranging from 2.12–2.48 Å. In the sixteenth Zr site, Zr is bonded in a body-centered cubic geometry to eight O atoms. There are a spread of Zr–O bond distances ranging from 2.16–2.40 Å. In the seventeenth Zr site, Zr is bonded in a distorted body-centered cubic geometry to eight O atoms. There are a spread of Zr–O bond distances ranging from 2.10–2.51 Å. In the eighteenth Zr site, Zr is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Zr–O bond distances ranging from 2.01–2.37 Å. In the nineteenth Zr site, Zr is bonded in a body-centered cubic geometry to eight O atoms. There are a spread of Zr–O bond distances ranging from 2.20–2.32 Å. In the twentieth Zr site, Zr is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Zr–O bond distances ranging from 2.00–2.36 Å. In the twenty-first Zr site, Zr is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Zr–O bond distances ranging from 2.01–2.37 Å. In the twenty-second Zr site, Zr is bonded in a body-centered cubic geometry to eight O atoms. There are a spread of Zr–O bond distances ranging from 2.19–2.33 Å. There are fifty-three inequivalent O sites. In the first O site, O is bonded to four Zr atoms to form distorted OZr4 tetrahedra that share corners with sixteen OY2Zr2 tetrahedra and edges with six OZr4 tetrahedra. In the second O site, O is bonded to four Zr atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the third O site, O is bonded to four Zr atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the fourth O site, O is bonded to four Zr atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the fifth O site, O is bonded to four Zr atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the sixth O site, O is bonded to four Zr atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the seventh O site, O is bonded to four Zr atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the eighth O site, O is bonded to four Zr atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the ninth O site, O is bonded to four Zr atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the tenth O site, O is bonded to four Zr atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the eleventh O site, O is bonded to four Zr atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the twelfth O site, O is bonded to four Zr atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the thirteenth O site, O is bonded to four Zr atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the fourteenth O site, O is bonded in a 4-coordinate geometry to two equivalent Y and two equivalent Zr atoms. In the fifteenth O site, O is bonded to two equivalent Y and two equivalent Zr atoms to form a mixture of edge and corner-sharing OY2Zr2 tetrahedra. In the sixteenth O site, O is bonded in a 4-coordinate geometry to two equivalent Y and two equivalent Zr atoms. In the seventeenth O site, O is bonded to two equivalent Y and two equivalent Zr atoms to form a mixture of edge and corner-sharing OY2Zr2 tetrahedra. In the eighteenth O site, O is bonded in a 4-coordinate geometry to two equivalent Y and two equivalent Zr atoms. In the nineteenth O site, O is bonded to two equivalent Y and two equivalent Zr atoms to form a mixture of distorted edge and corner-sharing OY2Zr2 tetrahedra. In the twentieth O site, O is bonded to four Zr atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the twenty-first O site, O is bonded to four Zr atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the twenty-second O site, O is bonded to four Zr atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the twenty-third O site, O is bonded to four Zr atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the twenty-fourth O site, O is bonded to four Zr atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the twenty-fifth O site, O is bonded to four Zr atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the twenty-sixth O site, O is bonded to four Zr atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the twenty-seventh O site, O is bonded to two equivalent Y and two equivalent Zr atoms to form a mixture of edge and corner-sharing OY2Zr2 tetrahedra. In the twenty-eighth O site, O is bonded to two equivalent Y and two equivalent Zr atoms to form a mixture of edge and corner-sharing OY2Zr2 tetrahedra. In the twenty-ninth O site, O is bonded to four Zr atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the thirtieth O site, O is bonded to two equivalent Y and two equivalent Zr atoms to form a mixture of edge and corner-sharing OY2Zr2 tetrahedra. In the thirty-first O site, O is bonded to two equivalent Y and two equivalent Zr atoms to form a mixture of edge and corner-sharing OY2Zr2 tetrahedra. In the thirty-second O site, O is bonded to two equivalent Y and two equivalent Zr atoms to form a mixture of edge and corner-sharing OY2Zr2 tetrahedra. In the thirty-third O site, O is bonded to two equivalent Y and two equivalent Zr atoms to form a mixture of edge and corner-sharing OY2Zr2 tetrahedra. In the thirty-fourth O site, O is bonded to four Zr atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the thirty-fifth O site, O is bonded to four Zr atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the thirty-sixth O site, O is bonded to four Zr atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the thirty-seventh O site, O is bonded to four Zr atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the thirty-eighth O site, O is bonded to four Zr atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the thirty-ninth O site, O is bonded to four Zr atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the fortieth O site, O is bonded to two equivalent Y and two equivalent Zr atoms to form a mixture of edge and corner-sharing OY2Zr2 tetrahedra. In the forty-first O site, O is bonded to four Zr atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the forty-second O site, O is bonded to four Zr atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the forty-third O site, O is bonded to two equivalent Y and two equivalent Zr atoms to form a mixture of edge and corner-sharing OY2Zr2 tetrahedra. In the forty-fourth O site, O is bonded to two equivalent Y and two equivalent Zr atoms to form a mixture of edge and corner-sharing OY2Zr2 tetrahedra. In the forty-fifth O site, O is bonded to two equivalent Y and two equivalent Zr atoms to form a mixture of edge and corner-sharing OY2Zr2 tetrahedra. In the forty-sixth O site, O is bonded to two equivalent Y and two equivalent Zr atoms to form a mixture of edge and corner-sharing OY2Zr2 tetrahedra. In the forty-seventh O site, O is bonded to two equivalent Y and two equivalent Zr atoms to form a mixture of edge and corner-sharing OY2Zr2 tetrahedra. In the forty-eighth O site, O is bonded to four Zr atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the forty-ninth O site, O is bonded to four Zr atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the fiftieth O site, O is bonded to four Zr atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the fifty-first O site, O is bonded to two equivalent Y and two equivalent Zr atoms to form OY2Zr2 tetrahedra that share corners with fourteen OY2Zr2 tetrahedra and edges with five OZr4 tetrahedra. In the fifty-second O site, O is bonded to two equivalent Y and two equivalent Zr atoms to form a mixture of edge and corner-sharing OY2Zr2 tetrahedra. In the fifty-third O site, O is bonded to two equivalent Y and two equivalent Zr atoms to form a mixture of edge and corner-sharing OY2Zr2 tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on Y2Zr24O51 by Materials Project

Y2Zr24O51 crystallizes in the orthorhombic Pmm2 space group. The structure is three-dimensional. there are two inequivalent Y3+ sites. In the first Y3+ site, Y3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Y–O bond distances ranging from 2.16–2.42 Å. In the second Y3+ site, Y3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are two shorter (2.09 Å) and four longer (2.37 Å) Y–O bond lengths. There are twenty-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 2.17–2.33 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 2.11–2.42 Å. In the third Zr4+ site, Zr4+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are four shorter (2.10 Å) and four longer (2.44 Å) Zr–O bond lengths. In the fourth 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 2.09–2.46 Å. In the fifth 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 2.09–2.46 Å. In the sixth Zr4+ site, Zr4+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are four shorter (2.09 Å) and four longer (2.45 Å) Zr–O bond lengths. In the seventh 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 2.09–2.45 Å. In the eighth 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 2.09–2.45 Å. In the ninth 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 2.09–2.45 Å. In the tenth 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 2.09–2.45 Å. In the eleventh 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 2.10–2.45 Å. In the twelfth 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 2.10–2.43 Å. In the thirteenth 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 2.20–2.27 Å. In the fourteenth 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 2.13–2.39 Å. In the fifteenth 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 2.10–2.44 Å. In the sixteenth 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 2.09–2.45 Å. In the seventeenth 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 2.09–2.45 Å. In the eighteenth 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 2.09–2.45 Å. In the nineteenth 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 2.09–2.45 Å. In the twentieth 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 2.09–2.45 Å. In the twenty-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 2.09–2.45 Å. In the twenty-second 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 2.09–2.44 Å. In the twenty-third 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 2.09–2.44 Å. In the twenty-fourth 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 2.10–2.43 Å. There are fifty-one inequivalent O2- sites. In the first O2- site, O2- is bonded to two equivalent Y3+ and two equivalent Zr4+ atoms to form OY2Zr2 tetrahedra that share corners with fourteen OZr4 tetrahedra and edges with five OY2Zr2 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 distorted corner and edge-sharing OZr4 tetrahedra. In the fifth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra. In the sixth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra. In the seventh O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra. In the eighth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra. In the ninth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra. In the tenth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra. In the eleventh O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra. In the twelfth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra. In the thirteenth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra. In the fourteenth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra. In the fifteenth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra. In the sixteenth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra. In the seventeenth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra. In the eighteenth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra. In the nineteenth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra. In the twentieth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra. In the twenty-first O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra. In the twenty-second O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra. In the twenty-third O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra. In the twenty-fourth O2- site, O2- is bonded to four Zr4+ atoms to form distorted OZr4 tetrahedra that share corners with sixteen OY2Zr2 tetrahedra and edges with six OZr4 tetrahedra. In the twenty-fifth O2- site, O2- is bonded to two equivalent Y3+ and two equivalent Zr4+ atoms to form distorted OY2Zr2 tetrahedra that share corners with fourteen OZr4 tetrahedra and edges with five OY2Zr2 tetrahedra. In the twenty-sixth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the twenty-seventh O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra. In the twenty-eighth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra. In the twenty-ninth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra. In the thirtieth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra. In the thirty-first O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra. In the thirty-second O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra. In the thirty-third O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra. In the thirty-fourth O2- site, O2- is bonded to four Zr4+ atoms to form OZr4 tetrahedra that share corners with sixteen OY2Zr2 tetrahedra and edges with six OZr4 tetrahedra. In the thirty-fifth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra. In the thirty-sixth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra. In the thirty-seventh O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra. In the thirty-eighth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra. In the thirty-ninth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra. In the fortieth O2- site, O2- is bonded to two equivalent Y3+ and two equivalent Zr4+ atoms to form a mixture of distorted corner and edge-sharing OY2Zr2 tetrahedra. In the forty-first O2- site, O2- is bonded to two equivalent Y3+ and two equivalent Zr4+ atoms to form OY2Zr2 tetrahedra that share corners with twelve OZr4 tetrahedra and edges with six OY4 tetrahedra. In the forty-second O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra. In the forty-third O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra. In the forty-fourth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra. In the forty-fifth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra. In the forty-sixth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra. In the forty-seventh O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra. In the forty-eighth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra. In the forty-ninth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra. In the fiftieth O2- site, O2- is bonded to four Y3+ atoms to form a mixture of corner and edge-sharing OY4 tetrahedra. In the fifty-first O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on Y2Zr2O7 by Materials Project

Y2Zr2O7 crystallizes in the cubic Fd-3m space group. The structure is three-dimensional. Y3+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are two shorter (2.30 Å) and six longer (2.53 Å) Y–O bond lengths. Zr4+ is bonded to six equivalent O2- atoms to form corner-sharing ZrO6 octahedra. The corner-sharing octahedral tilt angles are 54°. 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 Y3+ and two equivalent Zr4+ atoms to form a mixture of distorted edge and corner-sharing OY2Zr2 tetrahedra. In the second O2- site, O2- is bonded to four equivalent Y3+ atoms to form a mixture of edge and corner-sharing OY4 tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on Y2Zr9O22 by Materials Project

Y2Zr9O22 is Fluorite-derived structured and crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are four inequivalent Y sites. In the first Y site, Y is bonded in a body-centered cubic geometry to eight O atoms. There are a spread of Y–O bond distances ranging from 2.28–2.45 Å. In the second Y site, Y is bonded in a body-centered cubic geometry to eight O atoms. There are a spread of Y–O bond distances ranging from 2.29–2.44 Å. In the third Y site, Y is bonded in a body-centered cubic geometry to eight O atoms. There are a spread of Y–O bond distances ranging from 2.30–2.39 Å. In the fourth Y site, Y is bonded in a body-centered cubic geometry to eight O atoms. There are a spread of Y–O bond distances ranging from 2.30–2.43 Å. There are eighteen inequivalent Zr sites. In the first Zr site, Zr is bonded in a body-centered cubic geometry to eight O atoms. There are a spread of Zr–O bond distances ranging from 2.13–2.36 Å. In the second Zr site, Zr is bonded in a body-centered cubic geometry to eight O atoms. There are a spread of Zr–O bond distances ranging from 2.13–2.35 Å. In the third Zr site, Zr is bonded in a body-centered cubic geometry to eight O atoms. There are a spread of Zr–O bond distances ranging from 2.17–2.39 Å. In the fourth Zr site, Zr is bonded in a body-centered cubic geometry to eight O atoms. There are a spread of Zr–O bond distances ranging from 2.15–2.31 Å. In the fifth Zr site, Zr is bonded in a body-centered cubic geometry to eight O atoms. There are a spread of Zr–O bond distances ranging from 2.18–2.37 Å. In the sixth Zr site, Zr is bonded in a body-centered cubic geometry to eight O atoms. There are a spread of Zr–O bond distances ranging from 2.18–2.33 Å. In the seventh Zr site, Zr is bonded in a body-centered cubic geometry to eight O atoms. There are a spread of Zr–O bond distances ranging from 2.18–2.32 Å. In the eighth Zr site, Zr is bonded in a body-centered cubic geometry to eight O atoms. There are a spread of Zr–O bond distances ranging from 2.18–2.45 Å. In the ninth Zr site, Zr is bonded in a body-centered cubic geometry to eight O atoms. There are a spread of Zr–O bond distances ranging from 2.15–2.35 Å. In the tenth Zr site, Zr is bonded in a body-centered cubic geometry to eight O atoms. There are a spread of Zr–O bond distances ranging from 2.12–2.38 Å. In the eleventh Zr site, Zr is bonded in a body-centered cubic geometry to eight O atoms. There are a spread of Zr–O bond distances ranging from 2.15–2.33 Å. In the twelfth Zr site, Zr is bonded in a body-centered cubic geometry to eight O atoms. There are a spread of Zr–O bond distances ranging from 2.14–2.31 Å. In the thirteenth Zr site, Zr is bonded in a body-centered cubic geometry to eight O atoms. There are a spread of Zr–O bond distances ranging from 2.17–2.27 Å. In the fourteenth Zr site, Zr is bonded in a body-centered cubic geometry to eight O atoms. There are a spread of Zr–O bond distances ranging from 2.18–2.27 Å. In the fifteenth Zr site, Zr is bonded in a body-centered cubic geometry to eight O atoms. There are a spread of Zr–O bond distances ranging from 2.13–2.36 Å. In the sixteenth Zr site, Zr is bonded in a body-centered cubic geometry to eight O atoms. There are a spread of Zr–O bond distances ranging from 2.16–2.44 Å. In the seventeenth Zr site, Zr is bonded in a body-centered cubic geometry to eight O atoms. There are a spread of Zr–O bond distances ranging from 2.17–2.34 Å. In the eighteenth Zr site, Zr is bonded in a body-centered cubic geometry to eight O atoms. There are a spread of Zr–O bond distances ranging from 2.18–2.33 Å. There are forty-four inequivalent O sites. In the first O site, O is bonded to four Zr atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the second O site, O is bonded to four Zr atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the third O site, O is bonded to two equivalent Y and two Zr atoms to form OY2Zr2 tetrahedra that share corners with sixteen OYZr3 tetrahedra and edges with six OY2Zr2 tetrahedra. In the fourth O site, O is bonded to four Zr atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the fifth O site, O is bonded to four Zr atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the sixth O site, O is bonded to two equivalent Y and two Zr atoms to form a mixture of edge and corner-sharing OY2Zr2 tetrahedra. In the seventh O site, O is bonded to four Zr atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the eighth O site, O is bonded to four Zr atoms to form OZr4 tetrahedra that share corners with sixteen OYZr3 tetrahedra and edges with six OZr4 tetrahedra. In the ninth O site, O is bonded to four Zr atoms to form OZr4 tetrahedra that share corners with sixteen OZr4 tetrahedra and edges with six OY2Zr2 tetrahedra. In the tenth O site, O is bonded to four Zr atoms to form OZr4 tetrahedra that share corners with sixteen OY2Zr2 tetrahedra and edges with six OYZr3 tetrahedra. In the eleventh O site, O is bonded to four Zr atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the twelfth O site, O is bonded to four Zr atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the thirteenth O site, O is bonded to four Zr atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the fourteenth O site, O is bonded to one Y and three Zr atoms to form a mixture of edge and corner-sharing OYZr3 tetrahedra. In the fifteenth O site, O is bonded to four Zr atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the sixteenth O site, O is bonded to one Y and three Zr atoms to form OYZr3 tetrahedra that share corners with sixteen OZr4 tetrahedra and edges with six OY2Zr2 tetrahedra. In the seventeenth O site, O is bonded to one Y and three Zr atoms to form OYZr3 tetrahedra that share corners with sixteen OYZr3 tetrahedra and edges with six OY2Zr2 tetrahedra. In the eighteenth O site, O is bonded to one Y and three Zr atoms to form OYZr3 tetrahedra that share corners with sixteen OYZr3 tetrahedra and edges with six OY2Zr2 tetrahedra. In the nineteenth O site, O is bonded to four Zr atoms to form OZr4 tetrahedra that share corners with sixteen OYZr3 tetrahedra and edges with six OZr4 tetrahedra. In the twentieth O site, O is bonded to one Y and three Zr atoms to form OYZr3 tetrahedra that share corners with sixteen OZr4 tetrahedra and edges with six OYZr3 tetrahedra. In the twenty-first O site, O is bonded to four Zr atoms to form OZr4 tetrahedra that share corners with sixteen OYZr3 tetrahedra and edges with six OZr4 tetrahedra. In the twenty-second O site, O is bonded to one Y and three Zr atoms to form OYZr3 tetrahedra that share corners with sixteen OZr4 tetrahedra and edges with six OYZr3 tetrahedra. In the twenty-third O site, O is bonded to one Y and three Zr atoms to form a mixture of edge and corner-sharing OYZr3 tetrahedra. In the twenty-fourth O site, O is bonded to one Y and three Zr atoms to form a mixture of edge and corner-sharing OYZr3 tetrahedra. In the twenty-fifth O site, O is bonded to one Y and three Zr atoms to form a mixture of edge and corner-sharing OYZr3 tetrahedra. In the twenty-sixth O site, O is bonded to one Y and three Zr atoms to form a mixture of edge and corner-sharing OYZr3 tetrahedra. In the twenty-seventh O site, O is bonded to one Y and three Zr atoms to form a mixture of edge and corner-sharing OYZr3 tetrahedra. In the twenty-eighth O site, O is bonded to one Y and three Zr atoms to form OYZr3 tetrahedra that share corners with sixteen OYZr3 tetrahedra and edges with six OY2Zr2 tetrahedra. In the twenty-ninth O site, O is bonded to one Y and three Zr atoms to form OYZr3 tetrahedra that share corners with sixteen OY2Zr2 tetrahedra and edges with six OYZr3 tetrahedra. In the thirtieth O site, O is bonded to one Y and three Zr atoms to form OYZr3 tetrahedra that share corners with sixteen OY2Zr2 tetrahedra and edges with six OYZr3 tetrahedra. In the thirty-first O site, O is bonded to one Y and three Zr atoms to form OYZr3 tetrahedra that share corners with sixteen OZr4 tetrahedra and edges with six OY2Zr2 tetrahedra. In the thirty-second O site, O is bonded to one Y and three Zr atoms to form a mixture of edge and corner-sharing OYZr3 tetrahedra. In the thirty-third O site, O is bonded to four Zr atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the thirty-fourth O site, O is bonded to four Zr atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the thirty-fifth O site, O is bonded to four Zr atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the thirty-sixth O site, O is bonded to two equivalent Y and two Zr atoms to form OY2Zr2 tetrahedra that share corners with sixteen OZr4 tetrahedra and edges with six OY2Zr2 tetrahedra. In the thirty-seventh O site, O is bonded to four Zr atoms to form OZr4 tetrahedra that share corners with sixteen OYZr3 tetrahedra and edges with six OZr4 tetrahedra. In the thirty-eighth O site, O is bonded to four Zr atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the thirty-ninth O site, O is bonded to two equivalent Y and two Zr atoms to form OY2Zr2 tetrahedra that share corners with sixteen OZr4 tetrahedra and edges with six OYZr3 tetrahedra. In the fortieth O site, O is bonded to two equivalent Y and two Zr atoms to form OY2Zr2 tetrahedra that share corners with sixteen OY2Zr2 tetrahedra and edges with six OYZr3 tetrahedra. In the forty-first O site, O is bonded to two equivalent Y and two Zr atoms to form a mixture of edge and corner-sharing OY2Zr2 tetrahedra. In the forty-second O site, O is bonded to two equivalent Y and two Zr atoms to form OY2Zr2 tetrahedra that share corners with sixteen OZr4 tetrahedra and edges with six OY2Zr2 tetrahedra. In the forty-third O site, O is bonded to two equivalent Y and two Zr atoms to form OY2Zr2 tetrahedra that share corners with sixteen OY2Zr2 tetrahedra and edges with six OYZr3 tetrahedra. In the forty-fourth O site, O is bonded to four Zr atoms to form OZr4 tetrahedra that share corners with sixteen OY2Zr2 tetrahedra and edges with six OZr4 tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on YZr9O20 by Materials Project

YZr9O20 crystallizes in the triclinic P1 space group. The structure is three-dimensional. Y is bonded in a body-centered cubic geometry to eight O atoms. There are a spread of Y–O bond distances ranging from 2.26–2.43 Å. There are nine inequivalent Zr sites. In the first Zr site, Zr is bonded in a body-centered cubic geometry to eight O atoms. There are a spread of Zr–O bond distances ranging from 2.13–2.39 Å. In the second Zr site, Zr is bonded in a body-centered cubic geometry to eight O atoms. There are a spread of Zr–O bond distances ranging from 2.13–2.40 Å. In the third Zr site, Zr is bonded in a body-centered cubic geometry to eight O atoms. There are a spread of Zr–O bond distances ranging from 2.12–2.42 Å. In the fourth Zr site, Zr is bonded in a body-centered cubic geometry to eight O atoms. There are a spread of Zr–O bond distances ranging from 2.14–2.40 Å. In the fifth Zr site, Zr is bonded in a body-centered cubic geometry to eight O atoms. There are a spread of Zr–O bond distances ranging from 2.12–2.40 Å. In the sixth Zr site, Zr is bonded in a body-centered cubic geometry to eight O atoms. There are a spread of Zr–O bond distances ranging from 2.14–2.41 Å. In the seventh Zr site, Zr is bonded in a body-centered cubic geometry to eight O atoms. There are a spread of Zr–O bond distances ranging from 2.12–2.41 Å. In the eighth Zr site, Zr is bonded in a body-centered cubic geometry to eight O atoms. There are a spread of Zr–O bond distances ranging from 2.15–2.39 Å. In the ninth Zr site, Zr is bonded in a body-centered cubic geometry to eight O atoms. There are a spread of Zr–O bond distances ranging from 2.12–2.39 Å. There are twenty inequivalent O sites. In the first O site, O is bonded to four Zr atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the second O site, O is bonded to four Zr atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the third O site, O is bonded to four Zr atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the fourth O site, O is bonded to four Zr atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the fifth O site, O is bonded to one Y and three Zr atoms to form a mixture of corner and edge-sharing OYZr3 tetrahedra. In the sixth O site, O is bonded to four Zr atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the seventh O site, O is bonded to four Zr atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the eighth O site, O is bonded to four Zr atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the ninth O site, O is bonded to four Zr atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the tenth O site, O is bonded to one Y and three Zr atoms to form a mixture of corner and edge-sharing OYZr3 tetrahedra. In the eleventh O site, O is bonded to one Y and three Zr atoms to form a mixture of corner and edge-sharing OYZr3 tetrahedra. In the twelfth O site, O is bonded to one Y and three Zr atoms to form a mixture of corner and edge-sharing OYZr3 tetrahedra. In the thirteenth O site, O is bonded to one Y and three Zr atoms to form a mixture of corner and edge-sharing OYZr3 tetrahedra. In the fourteenth O site, O is bonded to one Y and three Zr atoms to form a mixture of corner and edge-sharing OYZr3 tetrahedra. In the fifteenth O site, O is bonded to one Y and three Zr atoms to form OYZr3 tetrahedra that share corners with sixteen OZr4 tetrahedra and edges with six OYZr3 tetrahedra. In the sixteenth O site, O is bonded to four Zr atoms to form OZr4 tetrahedra that share corners with sixteen OZr4 tetrahedra and edges with six OYZr3 tetrahedra. In the seventeenth O site, O is bonded to four Zr atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the eighteenth O site, O is bonded to four Zr atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the nineteenth O site, O is bonded to one Y and three Zr atoms to form a mixture of corner and edge-sharing OYZr3 tetrahedra. In the twentieth O site, O is bonded to four Zr atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on Y4Zr3O12 by Materials Project

Y4Zr3O12 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are four inequivalent Y3+ sites. In the first Y3+ site, Y3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Y–O bond distances ranging from 2.21–2.69 Å. In the second Y3+ site, Y3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Y–O bond distances ranging from 2.26–2.62 Å. In the third Y3+ site, Y3+ is bonded to seven O2- atoms to form distorted YO7 pentagonal bipyramids that share a cornercorner with one ZrO6 octahedra and an edgeedge with one ZrO6 octahedra. The corner-sharing octahedral tilt angles are 53°. There are a spread of Y–O bond distances ranging from 2.21–2.51 Å. In the fourth Y3+ site, Y3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Y–O bond distances ranging from 2.23–2.63 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 YO7 pentagonal bipyramid and an edgeedge with one YO7 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 2.09–2.60 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 2.09–2.24 Å. There are twelve inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to two Y3+ and two Zr4+ atoms. In the second O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Y3+ and two Zr4+ atoms. In the third O2- site, O2- is bonded in a 4-coordinate geometry to two Y3+ and two Zr4+ atoms. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Y3+ and two Zr4+ atoms. In the fifth O2- site, O2- is bonded to three Y3+ and one Zr4+ atom to form distorted OY3Zr trigonal pyramids that share corners with seven OY2Zr2 tetrahedra, edges with two OY2Zr2 tetrahedra, and an edgeedge with one OY3Zr trigonal pyramid. In the sixth O2- site, O2- is bonded to two Y3+ and two equivalent Zr4+ atoms to form distorted OY2Zr2 tetrahedra that share corners with four OY3Zr tetrahedra, corners with three equivalent OY3Zr trigonal pyramids, edges with two OY2Zr2 tetrahedra, and an edgeedge with one OY3Zr trigonal pyramid. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to two Y3+ and two Zr4+ atoms. In the eighth O2- site, O2- is bonded to two Y3+ and two equivalent Zr4+ atoms to form distorted OY2Zr2 tetrahedra that share corners with eight OY3Zr tetrahedra and edges with three OY2Zr2 tetrahedra. In the ninth O2- site, O2- is bonded to three Y3+ and one Zr4+ atom to form OY3Zr tetrahedra that share corners with six OY2Zr2 tetrahedra, corners with two equivalent OY3Zr trigonal pyramids, edges with two OY2Zr2 tetrahedra, and an edgeedge with one OY3Zr trigonal pyramid. In the tenth O2- site, O2- is bonded to three Y3+ and one Zr4+ atom to form a mixture of edge and corner-sharing OY3Zr tetrahedra. In the eleventh O2- site, O2- is bonded to three Y3+ and one Zr4+ atom to form distorted OY3Zr tetrahedra that share corners with seven OY2Zr2 tetrahedra, a cornercorner with one OY3Zr trigonal pyramid, and edges with two OY3Zr tetrahedra. In the twelfth O2- site, O2- is bonded to three Y3+ and one Zr4+ atom to form distorted OY3Zr tetrahedra that share corners with six OY2Zr2 tetrahedra, a cornercorner with one OY3Zr trigonal pyramid, and edges with four OY2Zr2 tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on YZr5O12 by Materials Project

YZr5O12 is Fluorite-derived structured and crystallizes in the monoclinic C2 space group. The structure is three-dimensional. Y is bonded in a body-centered cubic geometry to eight O atoms. There are a spread of Y–O bond distances ranging from 2.27–2.40 Å. There are three inequivalent Zr sites. In the first Zr site, Zr is bonded in a body-centered cubic geometry to eight O atoms. There are a spread of Zr–O bond distances ranging from 2.14–2.40 Å. In the second Zr site, Zr is bonded in a body-centered cubic geometry to eight O atoms. There are a spread of Zr–O bond distances ranging from 2.15–2.38 Å. In the third Zr site, Zr is bonded in a body-centered cubic geometry to eight O atoms. There are a spread of Zr–O bond distances ranging from 2.13–2.37 Å. There are six inequivalent O sites. In the first O site, O is bonded to four Zr atoms to form OZr4 tetrahedra that share corners with sixteen OZr4 tetrahedra and edges with six OYZr3 tetrahedra. In the second O site, O is bonded to four Zr atoms to form OZr4 tetrahedra that share corners with sixteen OZr4 tetrahedra and edges with six OYZr3 tetrahedra. In the third O site, O is bonded to one Y and three Zr atoms to form OYZr3 tetrahedra that share corners with sixteen OZr4 tetrahedra and edges with six OYZr3 tetrahedra. In the fourth O site, O is bonded to one Y and three Zr atoms to form OYZr3 tetrahedra that share corners with sixteen OZr4 tetrahedra and edges with six OYZr3 tetrahedra. In the fifth O site, O is bonded to one Y and three Zr atoms to form OYZr3 tetrahedra that share corners with sixteen OZr4 tetrahedra and edges with six OYZr3 tetrahedra. In the sixth O site, O is bonded to one Y and three Zr atoms to form OYZr3 tetrahedra that share corners with sixteen OZr4 tetrahedra and edges with six OYZr3 tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on YZr5O11 by Materials Project

YZr5O11 crystallizes in the monoclinic Pm space group. The structure is three-dimensional. Y3+ is bonded in a distorted hexagonal planar geometry to six O2- atoms. There are a spread of Y–O bond distances ranging from 2.24–2.38 Å. There are five inequivalent Zr+3.80+ sites. In the first Zr+3.80+ site, Zr+3.80+ is bonded in a 4-coordinate geometry to seven O2- atoms. There are a spread of Zr–O bond distances ranging from 2.08–2.43 Å. In the second Zr+3.80+ site, Zr+3.80+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.05–2.56 Å. In the third Zr+3.80+ site, Zr+3.80+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Zr–O bond distances ranging from 2.08–2.47 Å. In the fourth Zr+3.80+ site, Zr+3.80+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Zr–O bond distances ranging from 2.12–2.36 Å. In the fifth Zr+3.80+ site, Zr+3.80+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.10–2.59 Å. There are eleven inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal planar geometry to one Y3+ and two equivalent Zr+3.80+ atoms. In the second O2- site, O2- is bonded to four Zr+3.80+ atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the third O2- site, O2- is bonded to one Y3+ and three Zr+3.80+ atoms to form distorted OYZr3 tetrahedra that share corners with twelve OZr4 tetrahedra and edges with two OYZr3 tetrahedra. In the fourth O2- site, O2- is bonded to one Y3+ and three Zr+3.80+ atoms to form distorted OYZr3 tetrahedra that share corners with four OZr4 tetrahedra and edges with five OYZr3 tetrahedra. In the fifth O2- site, O2- is bonded in a 4-coordinate geometry to four Zr+3.80+ atoms. In the sixth O2- site, O2- is bonded to one Y3+ and three Zr+3.80+ atoms to form distorted OYZr3 tetrahedra that share corners with seven OZr4 tetrahedra and edges with three OYZr3 tetrahedra. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to four Zr+3.80+ atoms. In the eighth O2- site, O2- is bonded to four Zr+3.80+ atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the ninth O2- site, O2- is bonded in a 4-coordinate geometry to four Zr+3.80+ atoms. In the tenth O2- site, O2- is bonded to two equivalent Y3+ and two Zr+3.80+ atoms to form a mixture of distorted edge and corner-sharing OY2Zr2 tetrahedra. In the eleventh O2- site, O2- is bonded in a 4-coordinate geometry to four Zr+3.80+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on YZr4O9 by Materials Project

YZr4O9 crystallizes in the triclinic P1 space group. The structure is three-dimensional. Y3+ is bonded to seven O2- atoms to form distorted YO7 pentagonal bipyramids that share corners with two ZrO7 pentagonal bipyramids and edges with four ZrO7 pentagonal bipyramids. There are a spread of Y–O bond distances ranging from 2.27–2.45 Å. There are four inequivalent Zr+3.75+ sites. In the first Zr+3.75+ site, Zr+3.75+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Zr–O bond distances ranging from 2.09–2.48 Å. In the second Zr+3.75+ site, Zr+3.75+ is bonded to seven O2- atoms to form distorted ZrO7 pentagonal bipyramids that share a cornercorner with one YO7 pentagonal bipyramid, a cornercorner with one ZrO7 pentagonal bipyramid, edges with two equivalent YO7 pentagonal bipyramids, and edges with two equivalent ZrO7 pentagonal bipyramids. There are a spread of Zr–O bond distances ranging from 2.10–2.39 Å. In the third Zr+3.75+ site, Zr+3.75+ is bonded to seven O2- atoms to form distorted ZrO7 pentagonal bipyramids that share a cornercorner with one YO7 pentagonal bipyramid, a cornercorner with one ZrO7 pentagonal bipyramid, edges with two equivalent YO7 pentagonal bipyramids, and edges with two equivalent ZrO7 pentagonal bipyramids. There are a spread of Zr–O bond distances ranging from 2.14–2.29 Å. In the fourth Zr+3.75+ site, Zr+3.75+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Zr–O bond distances ranging from 2.07–2.41 Å. There are nine inequivalent O2- sites. In the first O2- site, O2- is bonded to one Y3+ and three Zr+3.75+ atoms to form distorted OYZr3 tetrahedra that share corners with ten OYZr3 tetrahedra, corners with three equivalent OZr4 trigonal pyramids, and edges with four OZr4 tetrahedra. In the second O2- site, O2- is bonded to one Y3+ and three Zr+3.75+ atoms to form OYZr3 tetrahedra that share corners with eleven OYZr3 tetrahedra, a cornercorner with one OZr4 trigonal pyramid, edges with four OYZr3 tetrahedra, and an edgeedge with one OZr4 trigonal pyramid. In the third O2- site, O2- is bonded to one Y3+ and three Zr+3.75+ atoms to form distorted OYZr3 tetrahedra that share corners with twelve OYZr3 tetrahedra, a cornercorner with one OZr4 trigonal pyramid, edges with three OYZr3 tetrahedra, and an edgeedge with one OZr4 trigonal pyramid. In the fourth O2- site, O2- is bonded to four Zr+3.75+ atoms to form distorted OZr4 tetrahedra that share corners with twelve OYZr3 tetrahedra, edges with three OYZr3 tetrahedra, and edges with two equivalent OZr4 trigonal pyramids. In the fifth O2- site, O2- is bonded to four Zr+3.75+ atoms to form distorted OZr4 trigonal pyramids that share corners with twelve OYZr3 tetrahedra and edges with five OZr4 tetrahedra. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to one Y3+ and two Zr+3.75+ atoms. In the seventh O2- site, O2- is bonded to one Y3+ and three Zr+3.75+ atoms to form distorted OYZr3 tetrahedra that share corners with nine OYZr3 tetrahedra, corners with three equivalent OZr4 trigonal pyramids, and edges with five OZr4 tetrahedra. In the eighth O2- site, O2- is bonded to one Y3+ and three Zr+3.75+ atoms to form OYZr3 tetrahedra that share corners with eleven OYZr3 tetrahedra, a cornercorner with one OZr4 trigonal pyramid, edges with four OYZr3 tetrahedra, and an edgeedge with one OZr4 trigonal pyramid. In the ninth O2- site, O2- is bonded to one Y3+ and three Zr+3.75+ atoms to form distorted OYZr3 tetrahedra that share corners with nine OYZr3 tetrahedra, corners with three equivalent OZr4 trigonal pyramids, and edges with five OZr4 tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on YZrO3 by Materials Project

YZrO3 is Ilmenite-like structured and crystallizes in the monoclinic C2 space group. The structure is three-dimensional. there are five inequivalent Y3+ sites. In the first Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share corners with two ZrO6 octahedra, corners with three YO6 octahedra, an edgeedge with one YO6 octahedra, and edges with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 40–77°. There are a spread of Y–O bond distances ranging from 2.22–2.40 Å. In the second Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share a cornercorner with one YO6 octahedra, corners with four ZrO6 octahedra, edges with two ZrO6 octahedra, and edges with three YO6 octahedra. The corner-sharing octahedra tilt angles range from 44–75°. There are a spread of Y–O bond distances ranging from 2.23–2.39 Å. In the third Y3+ site, Y3+ is bonded to six O2- atoms to form YO6 octahedra that share corners with two equivalent YO6 octahedra, corners with four ZrO6 octahedra, edges with two equivalent ZrO6 octahedra, and edges with four YO6 octahedra. The corner-sharing octahedra tilt angles range from 48–58°. There are a spread of Y–O bond distances ranging from 2.27–2.30 Å. In the fourth Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share corners with two equivalent ZrO6 octahedra, corners with four YO6 octahedra, edges with two equivalent YO6 octahedra, and edges with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 52–58°. There are a spread of Y–O bond distances ranging from 2.23–2.32 Å. In the fifth Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share corners with two ZrO6 octahedra, corners with three YO6 octahedra, edges with two ZrO6 octahedra, and edges with three YO6 octahedra. The corner-sharing octahedra tilt angles range from 47–77°. There are a spread of Y–O bond distances ranging from 2.22–2.40 Å. There are five inequivalent Zr3+ sites. In the first Zr3+ site, Zr3+ is bonded to six O2- atoms to form distorted ZrO6 octahedra that share a cornercorner with one ZrO6 octahedra, corners with four YO6 octahedra, an edgeedge with one ZrO6 octahedra, and edges with four YO6 octahedra. The corner-sharing octahedra tilt angles range from 41–72°. There are a spread of Zr–O bond distances ranging from 2.14–2.30 Å. In the second Zr3+ site, Zr3+ is bonded to six O2- atoms to form distorted ZrO6 octahedra that share corners with two ZrO6 octahedra, corners with three YO6 octahedra, edges with two ZrO6 octahedra, and edges with three YO6 octahedra. The corner-sharing octahedra tilt angles range from 41–71°. There are a spread of Zr–O bond distances ranging from 2.11–2.33 Å. In the third Zr3+ site, Zr3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Zr–O bond distances ranging from 2.10–2.47 Å. In the fourth Zr3+ site, Zr3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Zr–O bond distances ranging from 2.10–2.41 Å. In the fifth Zr3+ site, Zr3+ is bonded to six O2- atoms to form ZrO6 octahedra that share a cornercorner with one ZrO6 octahedra, corners with four YO6 octahedra, an edgeedge with one ZrO6 octahedra, and edges with four YO6 octahedra. The corner-sharing octahedra tilt angles range from 40–75°. There are a spread of Zr–O bond distances ranging from 2.12–2.27 Å. There are twelve inequivalent O2- sites. In the first O2- site, O2- is bonded to two Y3+ and two Zr3+ atoms to form OY2Zr2 tetrahedra that share corners with ten OY2Zr2 tetrahedra, corners with two equivalent OY3Zr trigonal pyramids, an edgeedge with one OY2Zr2 tetrahedra, and edges with three OY3Zr trigonal pyramids. In the second O2- site, O2- is bonded to two Y3+ and two Zr3+ atoms to form OY2Zr2 tetrahedra that share corners with eight OY2Zr2 tetrahedra, corners with four OYZr3 trigonal pyramids, edges with two OYZr3 tetrahedra, and edges with two equivalent OY3Zr trigonal pyramids. In the third O2- site, O2- is bonded to one Y3+ and three Zr3+ atoms to form distorted OYZr3 tetrahedra that share corners with nine OY2Zr2 tetrahedra, corners with three OYZr3 trigonal pyramids, edges with three OYZr3 tetrahedra, and an edgeedge with one OYZr3 trigonal pyramid. In the fourth O2- site, O2- is bonded to two Y3+ and two Zr3+ atoms to form distorted OY2Zr2 tetrahedra that share corners with eight OY2Zr2 tetrahedra, corners with four OYZr3 trigonal pyramids, edges with three OY2Zr2 tetrahedra, and an edgeedge with one OY3Zr trigonal pyramid. In the fifth O2- site, O2- is bonded to two Y3+ and two Zr3+ atoms to form distorted OY2Zr2 tetrahedra that share corners with ten OY2Zr2 tetrahedra, corners with two equivalent OY3Zr trigonal pyramids, edges with three OYZr3 tetrahedra, and an edgeedge with one OYZr3 trigonal pyramid. In the sixth O2- site, O2- is bonded to two Y3+ and two Zr3+ atoms to form OY2Zr2 tetrahedra that share corners with ten OY2Zr2 tetrahedra, corners with two equivalent OY3Zr trigonal pyramids, edges with three OYZr3 tetrahedra, and an edgeedge with one OY3Zr trigonal pyramid. In the seventh O2- site, O2- is bonded to one Y3+ and three Zr3+ atoms to form distorted OYZr3 trigonal pyramids that share corners with nine OY2Zr2 tetrahedra, corners with three OYZr3 trigonal pyramids, and edges with four OY2Zr2 tetrahedra. In the eighth O2- site, O2- is bonded to one Y3+ and three Zr3+ atoms to form distorted OYZr3 tetrahedra that share corners with nine OY2Zr2 tetrahedra, corners with three OYZr3 trigonal pyramids, and edges with four OYZr3 tetrahedra. In the ninth O2- site, O2- is bonded to three Y3+ and one Zr3+ atom to form distorted OY3Zr trigonal pyramids that share corners with nine OY2Zr2 tetrahedra, corners with three OYZr3 trigonal pyramids, edges with three OY2Zr2 tetrahedra, and an edgeedge with one OY3Zr trigonal pyramid. In the tenth O2- site, O2- is bonded to two Y3+ and two Zr3+ atoms to form distorted OY2Zr2 tetrahedra that share corners with eight OY2Zr2 tetrahedra, corners with four OYZr3 trigonal pyramids, and edges with four OY3Zr tetrahedra. In the eleventh O2- site, O2- is bonded to three Y3+ and one Zr3+ atom to form OY3Zr tetrahedra that share corners with nine OY2Zr2 tetrahedra, corners with three OYZr3 trigonal pyramids, edges with three OY2Zr2 tetrahedra, and an edgeedge with one OY3Zr trigonal pyramid. In the twelfth O2- site, O2- is bonded to three Y3+ and one Zr3+ atom to form distorted OY3Zr trigonal pyramids that share corners with nine OY2Zr2 tetrahedra, corners with three OYZr3 trigonal pyramids, edges with three OY2Zr2 tetrahedra, and an edgeedge with one OY3Zr trigonal pyramid.

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Materials Data on Y2Zr2O7 by Materials Project

Y2Zr2O7 crystallizes in the monoclinic P2_1 space group. The structure is three-dimensional. there are four inequivalent Y3+ sites. In the first Y3+ site, Y3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Y–O bond distances ranging from 2.23–2.66 Å. In the second Y3+ site, Y3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Y–O bond distances ranging from 2.25–2.47 Å. In the third Y3+ site, Y3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Y–O bond distances ranging from 2.28–2.63 Å. In the fourth Y3+ site, Y3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Y–O bond distances ranging from 2.29–2.95 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 41–48°. There are a spread of Zr–O bond distances ranging from 2.03–2.19 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 34–48°. There are a spread of Zr–O bond distances ranging from 2.00–2.31 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 41–53°. There are a spread of Zr–O bond distances ranging from 1.99–2.26 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 32–53°. There are a spread of Zr–O bond distances ranging from 2.00–2.42 Å. There are fourteen inequivalent O2- sites. In the first O2- site, O2- is bonded to three Y3+ and one Zr4+ atom to form distorted corner-sharing OY3Zr tetrahedra. In the second O2- site, O2- is bonded in a 4-coordinate geometry to two Y3+ and two Zr4+ atoms. In the third O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Y3+ and two Zr4+ atoms. In the fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Y3+ and two Zr4+ atoms. In the fifth O2- site, O2- is bonded in a 4-coordinate geometry to three Y3+ and one Zr4+ atom. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to two Y3+ and two equivalent Zr4+ atoms. In the seventh O2- site, O2- is bonded in a 3-coordinate geometry to two Y3+ and two Zr4+ atoms. In the eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Y3+ and one Zr4+ atom. In the ninth O2- site, O2- is bonded in a 4-coordinate geometry to two Y3+ and two Zr4+ atoms. In the tenth O2- site, O2- is bonded in a distorted tetrahedral geometry to two Y3+ and two Zr4+ atoms. In the eleventh O2- site, O2- is bonded in a distorted see-saw-like geometry to two Y3+ and two Zr4+ atoms. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to three Y3+ and one Zr4+ atom. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Y3+ and two equivalent Zr4+ atoms. In the fourteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Y3+ and two Zr4+ atoms.

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Materials Data on Y2Zr2O7 by Materials Project

Y2Zr2O7 crystallizes in the monoclinic C2/m space group. The structure is three-dimensional. Y3+ is bonded to six O2- atoms to form distorted YO6 pentagonal pyramids that share corners with four equivalent ZrO5 trigonal bipyramids, edges with three equivalent YO6 pentagonal pyramids, and edges with two equivalent ZrO5 trigonal bipyramids. There are a spread of Y–O bond distances ranging from 2.22–2.36 Å. Zr4+ is bonded to five O2- atoms to form distorted ZrO5 trigonal bipyramids that share corners with four equivalent YO6 pentagonal pyramids, a cornercorner with one ZrO5 trigonal bipyramid, edges with two equivalent YO6 pentagonal pyramids, and an edgeedge with one ZrO5 trigonal bipyramid. There are a spread of Zr–O bond distances ranging from 1.98–2.34 Å. There are three inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two equivalent Y3+ and one Zr4+ atom. In the second O2- site, O2- is bonded to two equivalent Y3+ and two equivalent Zr4+ atoms to form distorted edge-sharing OY2Zr2 trigonal pyramids. In the third O2- site, O2- is bonded in a linear geometry to two equivalent Zr4+ atoms.

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Materials Data on YZr4O10 by Materials Project

YZr4O10 is Fluorite-derived structured and crystallizes in the tetragonal I4/m space group. The structure is three-dimensional. Y is bonded in a body-centered cubic geometry to eight equivalent O atoms. All Y–O bond lengths are 2.33 Å. Zr is bonded in a body-centered cubic geometry to eight O atoms. There are a spread of Zr–O bond distances ranging from 2.23–2.26 Å. There are two inequivalent O sites. In the first O site, O is bonded to one Y and three equivalent Zr atoms to form a mixture of edge and corner-sharing OYZr3 tetrahedra. In the second O site, O is bonded to four equivalent Zr atoms to form OZr4 tetrahedra that share corners with sixteen equivalent OYZr3 tetrahedra and edges with six OZr4 tetrahedra.

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Materials Data on YZrO3 by Materials Project

YZrO3 crystallizes in the orthorhombic I2_12_12_1 space group. The structure is three-dimensional. there are four inequivalent Y3+ sites. In the first Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share corners with two equivalent ZrO6 octahedra, edges with two equivalent ZrO6 octahedra, and edges with four YO6 octahedra. The corner-sharing octahedral tilt angles are 68°. There are a spread of Y–O bond distances ranging from 2.25–2.39 Å. In the second Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share corners with two equivalent ZrO6 octahedra, corners with four YO6 octahedra, edges with two equivalent YO6 octahedra, and edges with two equivalent ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 54–62°. There are a spread of Y–O bond distances ranging from 2.26–2.31 Å. In the third Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share corners with two equivalent ZrO6 octahedra, corners with four YO6 octahedra, edges with two equivalent YO6 octahedra, and edges with two equivalent ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 56–61°. There are a spread of Y–O bond distances ranging from 2.25–2.34 Å. In the fourth Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share corners with two equivalent ZrO6 octahedra, corners with four YO6 octahedra, and edges with two equivalent ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 55–62°. There are a spread of Y–O bond distances ranging from 2.23–2.36 Å. There are three inequivalent Zr3+ sites. In the first Zr3+ site, Zr3+ is bonded to six O2- atoms to form distorted ZrO6 octahedra that share corners with four YO6 octahedra and edges with four YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–68°. There are a spread of Zr–O bond distances ranging from 2.13–2.34 Å. In the second Zr3+ site, Zr3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Zr–O bond distances ranging from 2.10–2.39 Å. In the third Zr3+ site, Zr3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Zr–O bond distances ranging from 2.10–2.34 Å. There are six inequivalent O2- sites. In the first O2- site, O2- is bonded to two Y3+ and two Zr3+ atoms to form distorted OY2Zr2 tetrahedra that share corners with twelve OY2Zr2 tetrahedra and edges with four OYZr3 tetrahedra. In the second O2- site, O2- is bonded to three Y3+ and one Zr3+ atom to form a mixture of distorted edge and corner-sharing OY3Zr tetrahedra. In the third O2- site, O2- is bonded to two Y3+ and two Zr3+ atoms to form distorted OY2Zr2 tetrahedra that share corners with twelve OY2Zr2 tetrahedra and edges with four OYZr3 tetrahedra. In the fourth O2- site, O2- is bonded to two Y3+ and two Zr3+ atoms to form a mixture of edge and corner-sharing OY2Zr2 tetrahedra. In the fifth O2- site, O2- is bonded to one Y3+ and three Zr3+ atoms to form a mixture of edge and corner-sharing OYZr3 tetrahedra. In the sixth O2- site, O2- is bonded to two Y3+ and two Zr3+ atoms to form a mixture of edge and corner-sharing OY2Zr2 tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on Y4Zr3O12 by Materials Project

Y4Zr3O12 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are two inequivalent Y3+ sites. In the first Y3+ site, Y3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Y–O bond distances ranging from 2.23–2.57 Å. In the second Y3+ site, Y3+ is bonded to seven O2- atoms to form distorted YO7 pentagonal bipyramids that share corners with three ZrO6 octahedra, edges with three ZrO6 octahedra, and edges with two equivalent YO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 50–65°. There are a spread of Y–O bond distances ranging from 2.24–2.48 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 four equivalent ZrO6 octahedra, corners with two equivalent YO7 pentagonal bipyramids, and edges with two equivalent YO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 39–59°. There are a spread of Zr–O bond distances ranging from 2.09–2.19 Å. In the second Zr4+ site, Zr4+ is bonded to six O2- atoms to form distorted ZrO6 octahedra that share corners with two equivalent ZrO6 octahedra, corners with two equivalent YO7 pentagonal bipyramids, an edgeedge with one ZrO6 octahedra, and edges with two equivalent YO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 39–59°. There are a spread of Zr–O bond distances ranging from 2.08–2.24 Å. There are six inequivalent O2- sites. In the first O2- site, O2- is bonded to three Y3+ and one Zr4+ atom to form a mixture of distorted edge and corner-sharing OY3Zr tetrahedra. In the second O2- site, O2- is bonded to two Y3+ and two equivalent Zr4+ atoms to form a mixture of distorted edge and corner-sharing OY2Zr2 tetrahedra. In the third O2- site, O2- is bonded to three Y3+ and one Zr4+ atom to form a mixture of edge and corner-sharing OY3Zr tetrahedra. In the fourth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Y3+ and two Zr4+ atoms. In the fifth O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Y3+ and two Zr4+ atoms. In the sixth O2- site, O2- is bonded to three Y3+ and one Zr4+ atom to form a mixture of distorted edge and corner-sharing OY3Zr tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on Y4Zr3O12 by Materials Project

Y4Zr3O12 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are four inequivalent Y3+ sites. In the first Y3+ site, Y3+ is bonded to seven O2- atoms to form distorted YO7 pentagonal bipyramids that share a cornercorner with one ZrO6 octahedra, a cornercorner with one ZrO7 pentagonal bipyramid, an edgeedge with one ZrO6 octahedra, and an edgeedge with one ZrO7 pentagonal bipyramid. The corner-sharing octahedral tilt angles are 54°. There are a spread of Y–O bond distances ranging from 2.24–2.55 Å. In the second Y3+ site, Y3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Y–O bond distances ranging from 2.22–2.71 Å. In the third Y3+ site, Y3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Y–O bond distances ranging from 2.23–2.70 Å. In the fourth Y3+ site, Y3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Y–O bond distances ranging from 2.23–2.56 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 YO7 pentagonal bipyramid, a cornercorner with one ZrO7 pentagonal bipyramid, an edgeedge with one YO7 pentagonal bipyramid, and an edgeedge with one ZrO7 pentagonal bipyramid. There are a spread of Zr–O bond distances ranging from 2.11–2.16 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 2.12–2.55 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 YO7 pentagonal bipyramid, an edgeedge with one ZrO6 octahedra, and an edgeedge with one YO7 pentagonal bipyramid. The corner-sharing octahedral tilt angles are 42°. There are a spread of Zr–O bond distances ranging from 2.09–2.46 Å. There are twelve inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to one Y3+ and three Zr4+ atoms. In the second O2- site, O2- is bonded in a 4-coordinate geometry to two Y3+ and two Zr4+ atoms. In the third O2- site, O2- is bonded to two Y3+ and two Zr4+ atoms to form distorted OY2Zr2 tetrahedra that share corners with six OY3Zr tetrahedra, corners with two equivalent OY2Zr2 trigonal pyramids, and edges with two OY3Zr tetrahedra. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to two Y3+ and two Zr4+ atoms. In the fifth O2- site, O2- is bonded in a 4-coordinate geometry to two Y3+ and two Zr4+ atoms. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to three Y3+ and one Zr4+ atom. In the seventh O2- site, O2- is bonded to three Y3+ and one Zr4+ atom to form a mixture of corner and edge-sharing OY3Zr tetrahedra. In the eighth O2- site, O2- is bonded to two Y3+ and two Zr4+ atoms to form OY2Zr2 tetrahedra that share corners with five OY3Zr tetrahedra, a cornercorner with one OY2Zr2 trigonal pyramid, edges with three OY2Zr2 tetrahedra, and an edgeedge with one OY2Zr2 trigonal pyramid. In the ninth O2- site, O2- is bonded to three Y3+ and one Zr4+ atom to form OY3Zr tetrahedra that share corners with seven OY2Zr2 tetrahedra, edges with two OY3Zr tetrahedra, and an edgeedge with one OY2Zr2 trigonal pyramid. In the tenth O2- site, O2- is bonded to three Y3+ and one Zr4+ atom to form distorted OY3Zr tetrahedra that share corners with six OY2Zr2 tetrahedra, corners with two equivalent OY2Zr2 trigonal pyramids, and edges with three OY3Zr tetrahedra. In the eleventh O2- site, O2- is bonded to three Y3+ and one Zr4+ atom to form distorted OY3Zr tetrahedra that share corners with six OY2Zr2 tetrahedra, corners with two equivalent OY2Zr2 trigonal pyramids, and edges with three OY3Zr tetrahedra. In the twelfth O2- site, O2- is bonded to two Y3+ and two Zr4+ atoms to form distorted OY2Zr2 trigonal pyramids that share corners with eight OY2Zr2 tetrahedra and edges with three OY3Zr tetrahedra.

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Materials Data on Y2Zr8O19 by Materials Project

Y2Zr8O19 is alpha bismuth trifluoride-derived structured and crystallizes in the tetragonal P-4m2 space group. The structure is three-dimensional. Y3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Y–O bond distances ranging from 2.11–2.33 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 2.15–2.31 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 2.20–2.26 Å. There are eleven inequivalent O2- sites. In the first O2- site, O2- is bonded to four equivalent 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 OZr4 tetrahedra that share corners with sixteen OZr4 tetrahedra and edges with six OY2Zr2 tetrahedra. In the fifth O2- site, O2- is bonded to two equivalent Y3+ and two equivalent Zr4+ atoms to form OY2Zr2 tetrahedra that share corners with twelve OZr4 tetrahedra and edges with six OY2Zr2 tetrahedra. In the sixth O2- site, O2- is bonded to four equivalent Y3+ atoms to form a mixture of corner and edge-sharing OY4 tetrahedra. In the seventh O2- site, O2- is bonded to two equivalent Y3+ and two equivalent Zr4+ atoms to form OY2Zr2 tetrahedra that share corners with fourteen OY2Zr2 tetrahedra and edges with five OZr4 tetrahedra. In the eighth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the ninth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the tenth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the eleventh O2- site, O2- is bonded to four equivalent Zr4+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra.

36 MATERIALS SCIENCE↗