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Materials Data on Er2Zr2O7 by Materials Project

Er2Zr2O7 crystallizes in the orthorhombic Pmma space group. The structure is three-dimensional. there are two inequivalent Er3+ sites. In the first Er3+ site, Er3+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing ErO6 octahedra. The corner-sharing octahedral tilt angles are 68°. There are two shorter (2.26 Å) and four longer (2.28 Å) Er–O bond lengths. In the second Er3+ site, Er3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Er–O bond distances ranging from 2.16–2.30 Å. There are two inequivalent Zr4+ sites. In the first Zr4+ site, Zr4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.16–2.58 Å. In the second Zr4+ site, Zr4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.21–2.34 Å. There are five inequivalent O2- sites. In the first O2- site, O2- is bonded to two equivalent Er3+ and two equivalent Zr4+ atoms to form OEr2Zr2 tetrahedra that share corners with ten OEr2Zr2 tetrahedra and an edgeedge with one OZr4 tetrahedra. In the second O2- site, O2- is bonded in a 4-coordinate geometry to three Er3+ and one Zr4+ atom. In the third O2- site, O2- is bonded to two equivalent Er3+ and two equivalent Zr4+ atoms to form OEr2Zr2 tetrahedra that share corners with ten OEr2Zr2 tetrahedra and edges with five OZr4 tetrahedra. In the fourth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the fifth O2- site, O2- is bonded to one Er3+ and three Zr4+ atoms to form a mixture of edge and corner-sharing OErZr3 tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on Er4Zr3O12 by Materials Project

Zr3Er4O12 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are four inequivalent Er3+ sites. In the first Er3+ site, Er3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Er–O bond distances ranging from 2.19–2.64 Å. In the second Er3+ site, Er3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Er–O bond distances ranging from 2.23–2.59 Å. In the third Er3+ site, Er3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Er–O bond distances ranging from 2.19–2.51 Å. In the fourth Er3+ site, Er3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Er–O bond distances ranging from 2.21–2.60 Å. There are three inequivalent Zr4+ sites. In the first 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 second Zr4+ site, Zr4+ is bonded in an octahedral geometry to six O2- atoms. There are a spread of Zr–O bond distances ranging from 2.09–2.16 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 2.09–2.23 Å. There are twelve inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to two Er3+ and two Zr4+ atoms. In the second O2- site, O2- is bonded in a 3-coordinate geometry to one Er3+ and two Zr4+ atoms. In the third O2- site, O2- is bonded in a 4-coordinate geometry to two Er3+ and two Zr4+ atoms. In the fourth O2- site, O2- is bonded to three Er3+ and one Zr4+ atom to form distorted OEr3Zr tetrahedra that share corners with six OEr2Zr2 tetrahedra and edges with three OEr3Zr tetrahedra. In the fifth O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Er3+ and two Zr4+ atoms. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to two Er3+ and two Zr4+ atoms. In the seventh O2- site, O2- is bonded to two Er3+ and two equivalent Zr4+ atoms to form distorted OEr2Zr2 tetrahedra that share corners with six OEr3Zr tetrahedra and edges with three OEr2Zr2 tetrahedra. In the eighth O2- site, O2- is bonded to two Er3+ and two equivalent Zr4+ atoms to form a mixture of distorted edge and corner-sharing OEr2Zr2 tetrahedra. In the ninth O2- site, O2- is bonded in a 4-coordinate geometry to three Er3+ and one Zr4+ atom. In the tenth O2- site, O2- is bonded to three Er3+ and one Zr4+ atom to form a mixture of edge and corner-sharing OEr3Zr tetrahedra. In the eleventh O2- site, O2- is bonded to three Er3+ and one Zr4+ atom to form a mixture of edge and corner-sharing OEr3Zr tetrahedra. In the twelfth O2- site, O2- is bonded to three Er3+ and one Zr4+ atom to form distorted OEr3Zr tetrahedra that share corners with six OEr3Zr tetrahedra and edges with three OEr2Zr2 tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on Er2Zr8O19 by Materials Project

Er2Zr8O19 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are two inequivalent Er3+ sites. In the first Er3+ site, Er3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Er–O bond distances ranging from 2.08–2.37 Å. In the second Er3+ site, Er3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Er–O bond distances ranging from 2.08–2.36 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 2.12–2.39 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 2.13–2.39 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 2.14–2.37 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 2.17–2.32 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 2.20–2.29 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 2.16–2.35 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 2.14–2.37 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 2.13–2.38 Å. There are nineteen inequivalent O2- sites. In the first O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the second O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the third O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the fourth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the fifth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the sixth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the seventh O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the eighth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the ninth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the tenth O2- site, O2- is bonded to two equivalent Er3+ and two equivalent Zr4+ atoms to form a mixture of edge and corner-sharing OEr2Zr2 tetrahedra. In the eleventh O2- site, O2- is bonded to two equivalent Er3+ and two equivalent Zr4+ atoms to form a mixture of distorted edge and corner-sharing OEr2Zr2 tetrahedra. In the twelfth O2- site, O2- is bonded to two equivalent Er3+ and two equivalent Zr4+ atoms to form a mixture of edge and corner-sharing OEr2Zr2 tetrahedra. In the thirteenth O2- site, O2- is bonded to four Er3+ atoms to form a mixture of edge and corner-sharing OEr4 tetrahedra. In the fourteenth O2- site, O2- is bonded to two equivalent Er3+ and two equivalent Zr4+ atoms to form a mixture of distorted edge and corner-sharing OEr2Zr2 tetrahedra. In the fifteenth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the sixteenth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the seventeenth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the eighteenth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the nineteenth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on Er2Zr2O7 by Materials Project

Er2Zr2O7 crystallizes in the cubic Fd-3m space group. The structure is three-dimensional. Er3+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are two shorter (2.28 Å) and six longer (2.49 Å) Er–O bond lengths. Zr4+ is bonded to six equivalent O2- atoms to form distorted corner-sharing ZrO6 octahedra. The corner-sharing octahedral tilt angles are 55°. All Zr–O bond lengths are 2.10 Å. There are two inequivalent O2- sites. In the first O2- site, O2- is bonded to two equivalent Er3+ and two equivalent Zr4+ atoms to form a mixture of distorted edge and corner-sharing OEr2Zr2 tetrahedra. In the second O2- site, O2- is bonded to four equivalent Er3+ atoms to form a mixture of edge and corner-sharing OEr4 tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on Er2Zr2O7 by Materials Project

Er2Zr2O7 crystallizes in the monoclinic C2/m space group. The structure is three-dimensional. Er3+ is bonded to six O2- atoms to form distorted ErO6 pentagonal pyramids that share corners with four equivalent ZrO5 trigonal bipyramids, edges with three equivalent ErO6 pentagonal pyramids, and edges with two equivalent ZrO5 trigonal bipyramids. There are a spread of Er–O bond distances ranging from 2.19–2.34 Å. Zr4+ is bonded to five O2- atoms to form distorted ZrO5 trigonal bipyramids that share corners with four equivalent ErO6 pentagonal pyramids, a cornercorner with one ZrO5 trigonal bipyramid, edges with two equivalent ErO6 pentagonal pyramids, and an edgeedge with one ZrO5 trigonal bipyramid. There are a spread of Zr–O bond distances ranging from 1.97–2.33 Å. There are three inequivalent O2- sites. In the first O2- site, O2- is bonded in a linear geometry to two equivalent Zr4+ atoms. In the second O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two equivalent Er3+ and one Zr4+ atom. In the third O2- site, O2- is bonded to two equivalent Er3+ and two equivalent Zr4+ atoms to form distorted edge-sharing OEr2Zr2 trigonal pyramids.

36 MATERIALS SCIENCE↗