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DOE OSTI2020

Materials Data on Nd12Zr12O37 by Materials Project

Nd12Zr12O37 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twelve inequivalent Nd3+ sites. In the first Nd3+ site, Nd3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Nd–O bond distances ranging from 2.33–2.69 Å. In the second Nd3+ site, Nd3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Nd–O bond distances ranging from 2.34–2.80 Å. In the third Nd3+ site, Nd3+ is bonded to six O2- atoms to form distorted NdO6 octahedra that share a cornercorner with one NdO7 hexagonal pyramid, a cornercorner with one ZrO6 octahedra, corners with three ZrO5 trigonal bipyramids, an edgeedge with one NdO7 hexagonal pyramid, an edgeedge with one ZrO6 octahedra, and an edgeedge with one ZrO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 80°. There are a spread of Nd–O bond distances ranging from 2.33–2.60 Å. In the fourth Nd3+ site, Nd3+ is bonded to seven O2- atoms to form distorted NdO7 hexagonal pyramids that share a cornercorner with one ZrO6 octahedra, a cornercorner with one ZrO5 trigonal bipyramid, an edgeedge with one NdO7 hexagonal pyramid, an edgeedge with one NdO6 octahedra, edges with three ZrO6 octahedra, and an edgeedge with one ZrO5 square pyramid. The corner-sharing octahedral tilt angles are 68°. There are a spread of Nd–O bond distances ranging from 2.30–2.72 Å. In the fifth Nd3+ site, Nd3+ is bonded to seven O2- atoms to form distorted NdO7 hexagonal pyramids that share a cornercorner with one NdO6 octahedra, corners with two ZrO5 trigonal bipyramids, an edgeedge with one NdO7 hexagonal pyramid, edges with two equivalent ZrO6 octahedra, and edges with two ZrO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 66°. There are a spread of Nd–O bond distances ranging from 2.32–2.67 Å. In the sixth Nd3+ site, Nd3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Nd–O bond distances ranging from 2.31–2.77 Å. In the seventh Nd3+ site, Nd3+ is bonded to seven O2- atoms to form distorted NdO7 hexagonal pyramids that share a cornercorner with one NdO6 octahedra, corners with two ZrO5 trigonal bipyramids, edges with two NdO7 hexagonal pyramids, edges with two equivalent ZrO6 octahedra, and edges with two ZrO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 61°. There are a spread of Nd–O bond distances ranging from 2.33–2.57 Å. In the eighth Nd3+ site, Nd3+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Nd–O bond distances ranging from 2.34–2.72 Å. In the ninth Nd3+ site, Nd3+ is bonded to six O2- atoms to form distorted NdO6 octahedra that share corners with two NdO7 hexagonal pyramids, corners with three ZrO5 trigonal bipyramids, edges with two NdO7 hexagonal pyramids, an edgeedge with one ZrO6 octahedra, and an edgeedge with one ZrO5 trigonal bipyramid. There are a spread of Nd–O bond distances ranging from 2.31–2.52 Å. In the tenth Nd3+ site, Nd3+ is bonded to seven O2- atoms to form distorted NdO7 hexagonal pyramids that share a cornercorner with one ZrO5 square pyramid, edges with two NdO7 hexagonal pyramids, an edgeedge with one NdO6 octahedra, edges with two equivalent ZrO6 octahedra, and an edgeedge with one ZrO5 square pyramid. There are a spread of Nd–O bond distances ranging from 2.30–2.69 Å. In the eleventh Nd3+ site, Nd3+ is bonded to seven O2- atoms to form distorted NdO7 hexagonal pyramids that share a cornercorner with one NdO6 octahedra, a cornercorner with one ZrO5 trigonal bipyramid, edges with two NdO7 hexagonal pyramids, an edgeedge with one NdO6 octahedra, an edgeedge with one ZrO6 octahedra, an edgeedge with one ZrO5 square pyramid, and edges with two ZrO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 66°. There are a spread of Nd–O bond distances ranging from 2.32–2.57 Å. In the twelfth Nd3+ site, Nd3+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Nd–O bond distances ranging from 2.31–2.84 Å. There are twelve inequivalent Zr+3.17+ sites. In the first Zr+3.17+ site, Zr+3.17+ is bonded to six O2- atoms to form distorted ZrO6 octahedra that share a cornercorner with one NdO6 octahedra, a cornercorner with one ZrO6 octahedra, corners with three ZrO5 trigonal bipyramids, an edgeedge with one NdO7 hexagonal pyramid, an edgeedge with one NdO6 octahedra, an edgeedge with one ZrO6 octahedra, and an edgeedge with one ZrO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 42–80°. There are a spread of Zr–O bond distances ranging from 2.09–2.38 Å. In the second Zr+3.17+ site, Zr+3.17+ is bonded to six O2- atoms to form ZrO6 octahedra that share corners with two ZrO6 octahedra, corners with four ZrO5 trigonal bipyramids, and edges with two equivalent NdO7 hexagonal pyramids. The corner-sharing octahedra tilt angles range from 42–58°. There are a spread of Zr–O bond distances ranging from 2.11–2.19 Å. In the third Zr+3.17+ site, Zr+3.17+ is bonded to five O2- atoms to form distorted ZrO5 trigonal bipyramids that share corners with two NdO7 hexagonal pyramids, a cornercorner with one NdO6 octahedra, corners with three ZrO6 octahedra, corners with two equivalent ZrO5 trigonal bipyramids, an edgeedge with one NdO6 octahedra, and an edgeedge with one ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 49–68°. There are a spread of Zr–O bond distances ranging from 2.05–2.20 Å. In the fourth Zr+3.17+ site, Zr+3.17+ is bonded to five O2- atoms to form distorted ZrO5 trigonal bipyramids that share a cornercorner with one NdO7 hexagonal pyramid, corners with two equivalent NdO6 octahedra, corners with three ZrO6 octahedra, corners with two equivalent ZrO5 trigonal bipyramids, and an edgeedge with one ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 46–78°. There are a spread of Zr–O bond distances ranging from 2.09–2.20 Å. In the fifth Zr+3.17+ site, Zr+3.17+ is bonded to six O2- atoms to form ZrO6 octahedra that share a cornercorner with one ZrO6 octahedra, corners with five ZrO5 trigonal bipyramids, and edges with three NdO7 hexagonal pyramids. The corner-sharing octahedral tilt angles are 58°. There are a spread of Zr–O bond distances ranging from 2.10–2.24 Å. In the sixth Zr+3.17+ site, Zr+3.17+ is bonded to five O2- atoms to form ZrO5 trigonal bipyramids that share a cornercorner with one NdO7 hexagonal pyramid, a cornercorner with one NdO6 octahedra, corners with two ZrO6 octahedra, a cornercorner with one ZrO5 square pyramid, corners with two ZrO5 trigonal bipyramids, an edgeedge with one NdO7 hexagonal pyramid, and an edgeedge with one NdO6 octahedra. The corner-sharing octahedra tilt angles range from 49–68°. There are a spread of Zr–O bond distances ranging from 2.10–2.20 Å. In the seventh Zr+3.17+ site, Zr+3.17+ is bonded to five O2- atoms to form distorted ZrO5 trigonal bipyramids that share a cornercorner with one NdO7 hexagonal pyramid, a cornercorner with one NdO6 octahedra, corners with three ZrO6 octahedra, corners with two ZrO5 trigonal bipyramids, and edges with two NdO7 hexagonal pyramids. The corner-sharing octahedra tilt angles range from 49–64°. There are a spread of Zr–O bond distances ranging from 2.05–2.18 Å. In the eighth Zr+3.17+ site, Zr+3.17+ is bonded to five O2- atoms to form distorted ZrO5 trigonal bipyramids that share a cornercorner with one NdO7 hexagonal pyramid, a cornercorner with one NdO6 octahedra, corners with three ZrO6 octahedra, corners with two ZrO5 trigonal bipyramids, and edges with three NdO7 hexagonal pyramids. The corner-sharing octahedra tilt angles range from 48–62°. There are a spread of Zr–O bond distances ranging from 2.06–2.15 Å. In the ninth Zr+3.17+ site, Zr+3.17+ is bonded to five O2- atoms to form ZrO5 square pyramids that share a cornercorner with one NdO7 hexagonal pyramid, corners with three ZrO6 octahedra, a cornercorner with one ZrO5 trigonal bipyramid, and edges with three NdO7 hexagonal pyramids. The corner-sharing octahedra tilt angles range from 44–59°. There are a spread of Zr–O bond distances ranging from 2.08–2.26 Å. In the tenth Zr+3.17+ site, Zr+3.17+ is bonded to six O2- atoms to form distorted ZrO6 octahedra that share a cornercorner with one NdO7 hexagonal pyramid, a cornercorner with one ZrO6 octahedra, a cornercorner with one ZrO5 square pyramid, a cornercorner with one ZrO5 trigonal bipyramid, an edgeedge with one NdO7 hexagonal pyramid, an edgeedge with one ZrO6 octahedra, and an edgeedge with one ZrO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 44°. There are a spread of Zr–O bond distances ranging from 2.11–2.21 Å. In the eleventh Zr+3.17+ site, Zr+3.17+ is bonded to six O2- atoms to form ZrO6 octahedra that share a cornercorner with one ZrO6 octahedra, corners with two equivalent ZrO5 square pyramids, a cornercorner with one ZrO5 trigonal bipyramid, edges with three NdO7 hexagonal pyramids, and an edgeedge with one NdO6 octahedra. The corner-sharing octahedral tilt angles are 44°. There are a spread of Zr–O bond distances ranging from 2.08–2.28 Å. In the twelfth Zr+3.17+ site, Zr+3.17+ is bonded in a see-saw-like geometry to four O2- atoms. There are a spread of Zr–O bond distances ranging from 2.06–2.14 Å. There are thirty-seven inequivalent O2- sites. In the first O2- site, O2- is bonded to four Nd3+ atoms to form corner-sharing ONd4 tetrahedra. In the second O2- site, O2- is bonded to two Nd3+ and two Zr+3.17+ atoms to form ONd2Zr2 tetrahedra that share corners with five ONd2Zr2 tetrahedra and edges with two OZr4 tetrahedra. In the third O2- site, O2- is bonded to four Zr+3.17+ atoms to form distorted edge-sharing OZr4 tetrahedra. In the fourth O2- site, O2- is bonded to four Nd3+ atoms to form a mixture of edge and corner-sharing ONd4 tetrahedra. In the fifth O2- site, O2- is bonded to two Nd3+ and two Zr+3.17+ atoms to form ONd2Zr2 tetrahedra that share corners with five ONd2Zr2 tetrahedra and edges with two ONd4 tetrahedra. In the sixth O2- site, O2- is bonded to two Nd3+ and two Zr+3.17+ atoms to form ONd2Zr2 tetrahedra that share corners with six ONd2Zr2 tetrahedra and edges with two OZr4 tetrahedra. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to two Nd3+ and two Zr+3.17+ atoms. In the eighth O2- site, O2- is bonded to two Nd3+ and two Zr+3.17+ atoms to form distorted ONd2Zr2 tetrahedra that share corners with seven ONd2Zr2 tetrahedra and edges with two ONd4 tetrahedra. In the ninth O2- site, O2- is bonded in a 4-coordinate geometry to two Nd3+ and two Zr+3.17+ atoms. In the tenth O2- site, O2- is bonded to two Nd3+ and two Zr+3.17+ atoms to form distorted ONd2Zr2 tetrahedra that share corners with eight ONd4 tetrahedra and edges with two ONd2Zr2 tetrahedra. In the eleventh O2- site, O2- is bonded in a 4-coordinate geometry to two Nd3+ and two Zr+3.17+ atoms. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to two Nd3+ and two Zr+3.17+ atoms. In the thirteenth O2- site, O2- is bonded to two Nd3+ and two Zr+3.17+ atoms to form distorted ONd2Zr2 tetrahedra that share corners with eight ONd2Zr2 tetrahedra and edges with two ONd4 tetrahedra. In the fourteenth O2- site, O2- is bonded to four Nd3+ atoms to form a mixture of edge and corner-sharing ONd4 tetrahedra. In the fifteenth O2- site, O2- is bonded to two Nd3+ and two Zr+3.17+ atoms to form a mixture of distorted edge and corner-sharing ONd2Zr2 tetrahedra. In the sixteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Nd3+ and two Zr+3.17+ atoms. In the seventeenth O2- site, O2- is bonded to two Nd3+ and two Zr+3.17+ atoms to form distorted ONd2Zr2 tetrahedra that share corners with nine ONd2Zr2 tetrahedra and an edgeedge with one ONd4 tetrahedra. In the eighteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Nd3+ and two Zr+3.17+ at

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Nd2Zr2O7 by Materials Project

Nd2Zr2O7 crystallizes in the cubic Fd-3m space group. The structure is three-dimensional. Nd3+ is bonded in a distorted hexagonal planar geometry to six equivalent O2- atoms. All Nd–O bond lengths are 2.35 Å. Zr4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are six shorter (2.28 Å) and two longer (2.31 Å) Zr–O bond lengths. There are two inequivalent O2- sites. In the first O2- site, O2- is bonded to two equivalent Nd3+ and two equivalent Zr4+ atoms to form a mixture of corner and edge-sharing ONd2Zr2 tetrahedra. In the second O2- site, O2- is bonded to four equivalent Zr4+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Nd2Zr2O7 by Materials Project

Nd2Zr2O7 crystallizes in the cubic Fd-3m space group. The structure is three-dimensional. Nd3+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are two shorter (2.34 Å) and six longer (2.61 Å) Nd–O bond lengths. Zr4+ is bonded to six equivalent O2- atoms to form corner-sharing ZrO6 octahedra. The corner-sharing octahedral tilt angles are 52°. All Zr–O bond lengths are 2.12 Å. There are two inequivalent O2- sites. In the first O2- site, O2- is bonded to four equivalent Nd3+ atoms to form ONd4 tetrahedra that share corners with sixteen ONd4 tetrahedra and edges with six equivalent ONd2Zr2 tetrahedra. In the second O2- site, O2- is bonded to two equivalent Nd3+ and two equivalent Zr4+ atoms to form a mixture of distorted edge and corner-sharing ONd2Zr2 tetrahedra.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on NdZr9O20 by Materials Project

NdZr9O20 crystallizes in the triclinic P1 space group. The structure is three-dimensional. Nd is bonded in a body-centered cubic geometry to eight O atoms. There are a spread of Nd–O bond distances ranging from 2.32–2.53 Å. There are nine 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 2.08–2.53 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 2.08–2.52 Å. In the third Zr site, Zr is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of Zr–O bond distances ranging from 2.07–2.62 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 2.08–2.49 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 2.08–2.51 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 2.11–2.52 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 2.11–2.53 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 2.09–2.58 Å. In the ninth 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 2.11–2.50 Å. There are twenty inequivalent O sites. In the first O site, O is bonded to four Zr atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra. In the second O site, O is bonded to four Zr atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra. In the third O site, O is bonded in a 4-coordinate geometry to four Zr atoms. In the fourth O site, O is bonded to four Zr atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra. In the fifth O site, O is bonded to four Zr atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra. In the sixth O site, O is bonded in a 4-coordinate geometry to four Zr atoms. In the seventh O site, O is bonded to one Nd and three Zr atoms to form a mixture of distorted corner and edge-sharing ONdZr3 tetrahedra. In the eighth O site, O is bonded to four Zr atoms to form distorted OZr4 tetrahedra that share corners with sixteen OZr4 tetrahedra and edges with four ONdZr3 tetrahedra. In the ninth O site, O is bonded to four Zr atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra. In the tenth O site, O is bonded to four Zr atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra. In the eleventh O site, O is bonded to one Nd and three Zr atoms to form a mixture of distorted corner and edge-sharing ONdZr3 tetrahedra. In the twelfth O site, O is bonded to one Nd and three Zr atoms to form ONdZr3 tetrahedra that share corners with fourteen OZr4 tetrahedra and edges with six ONdZr3 tetrahedra. In the thirteenth O site, O is bonded to one Nd and three Zr atoms to form a mixture of corner and edge-sharing ONdZr3 tetrahedra. In the fourteenth O site, O is bonded to one Nd and three Zr atoms to form a mixture of distorted corner and edge-sharing ONdZr3 tetrahedra. In the fifteenth O site, O is bonded to four Zr atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra. In the sixteenth O site, O is bonded to one Nd and three Zr atoms to form ONdZr3 tetrahedra that share corners with fifteen OZr4 tetrahedra and edges with five ONdZr3 tetrahedra. In the seventeenth O site, O is bonded to four Zr atoms to form distorted OZr4 tetrahedra that share corners with fifteen OZr4 tetrahedra and edges with five ONdZr3 tetrahedra. In the eighteenth O site, O is bonded to four Zr atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra. In the nineteenth O site, O is bonded to one Nd and three Zr atoms to form a mixture of corner and edge-sharing ONdZr3 tetrahedra. In the twentieth O site, O is bonded to one Nd and three Zr atoms to form a mixture of distorted corner and edge-sharing ONdZr3 tetrahedra.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Nd16Zr16O49 by Materials Project

Nd16Zr16O49 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are sixteen inequivalent Nd sites. In the first Nd site, Nd is bonded to six O atoms to form distorted NdO6 octahedra that share corners with two NdO7 hexagonal pyramids, a cornercorner with one ZrO6 octahedra, a cornercorner with one ZrO5 square pyramid, a cornercorner with one ZrO4 tetrahedra, an edgeedge with one NdO7 hexagonal pyramid, and edges with two ZrO6 octahedra. The corner-sharing octahedral tilt angles are 72°. There are a spread of Nd–O bond distances ranging from 2.31–2.59 Å. In the second Nd site, Nd is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Nd–O bond distances ranging from 2.33–2.61 Å. In the third Nd site, Nd is bonded to seven O atoms to form distorted NdO7 hexagonal pyramids that share a cornercorner with one NdO6 octahedra, a cornercorner with one ZrO6 octahedra, a cornercorner with one ZrO4 tetrahedra, an edgeedge with one NdO7 hexagonal pyramid, an edgeedge with one NdO6 octahedra, and edges with three ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 67–69°. There are a spread of Nd–O bond distances ranging from 2.33–2.69 Å. In the fourth Nd site, Nd is bonded in a distorted body-centered cubic geometry to eight O atoms. There are a spread of Nd–O bond distances ranging from 2.32–2.79 Å. In the fifth Nd site, Nd is bonded to seven O atoms to form distorted NdO7 hexagonal pyramids that share a cornercorner with one ZrO6 octahedra, a cornercorner with one ZrO4 tetrahedra, edges with two equivalent NdO7 hexagonal pyramids, an edgeedge with one NdO6 octahedra, edges with two equivalent ZrO6 octahedra, and an edgeedge with one ZrO5 square pyramid. The corner-sharing octahedral tilt angles are 72°. There are a spread of Nd–O bond distances ranging from 2.33–2.64 Å. In the sixth Nd site, Nd is bonded to six O atoms to form distorted NdO6 octahedra that share corners with two NdO7 hexagonal pyramids, corners with two ZrO5 square pyramids, edges with two NdO7 hexagonal pyramids, and edges with two ZrO5 square pyramids. There are a spread of Nd–O bond distances ranging from 2.33–2.63 Å. In the seventh Nd site, Nd is bonded to seven O atoms to form distorted NdO7 hexagonal pyramids that share a cornercorner with one ZrO6 octahedra, a cornercorner with one ZrO4 tetrahedra, edges with two equivalent NdO7 hexagonal pyramids, an edgeedge with one NdO6 octahedra, edges with two equivalent ZrO6 octahedra, and an edgeedge with one ZrO5 square pyramid. The corner-sharing octahedral tilt angles are 68°. There are a spread of Nd–O bond distances ranging from 2.32–2.68 Å. In the eighth Nd site, Nd is bonded in a distorted body-centered cubic geometry to eight O atoms. There are a spread of Nd–O bond distances ranging from 2.32–2.81 Å. In the ninth Nd site, Nd is bonded to seven O atoms to form distorted NdO7 hexagonal pyramids that share a cornercorner with one NdO6 octahedra, a cornercorner with one ZrO5 square pyramid, edges with three NdO7 hexagonal pyramids, edges with two equivalent ZrO6 octahedra, an edgeedge with one ZrO5 square pyramid, and an edgeedge with one ZrO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 67°. There are a spread of Nd–O bond distances ranging from 2.34–2.61 Å. In the tenth Nd site, Nd is bonded to seven O atoms to form distorted NdO7 hexagonal pyramids that share a cornercorner with one NdO6 octahedra, a cornercorner with one ZrO5 square pyramid, a cornercorner with one ZrO5 trigonal bipyramid, edges with three NdO7 hexagonal pyramids, edges with two equivalent ZrO6 octahedra, an edgeedge with one ZrO5 square pyramid, and an edgeedge with one ZrO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 64°. There are a spread of Nd–O bond distances ranging from 2.33–2.59 Å. In the eleventh Nd site, Nd is bonded to seven O atoms to form distorted NdO7 hexagonal pyramids that share a cornercorner with one NdO6 octahedra, a cornercorner with one ZrO5 square pyramid, edges with three NdO7 hexagonal pyramids, edges with three ZrO6 octahedra, and an edgeedge with one ZrO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 65°. There are a spread of Nd–O bond distances ranging from 2.32–2.65 Å. In the twelfth Nd site, Nd is bonded to six O atoms to form distorted NdO6 octahedra that share corners with two NdO7 hexagonal pyramids, corners with two ZrO5 square pyramids, a cornercorner with one ZrO5 trigonal bipyramid, edges with two NdO7 hexagonal pyramids, and edges with two ZrO5 square pyramids. There are a spread of Nd–O bond distances ranging from 2.31–2.58 Å. In the thirteenth Nd site, Nd is bonded in a distorted body-centered cubic geometry to eight O atoms. There are a spread of Nd–O bond distances ranging from 2.32–2.74 Å. In the fourteenth Nd site, Nd is bonded to seven O atoms to form distorted NdO7 hexagonal pyramids that share a cornercorner with one NdO6 octahedra, a cornercorner with one ZrO5 square pyramid, edges with two NdO7 hexagonal pyramids, an edgeedge with one NdO6 octahedra, edges with two equivalent ZrO6 octahedra, and an edgeedge with one ZrO5 square pyramid. The corner-sharing octahedral tilt angles are 64°. There are a spread of Nd–O bond distances ranging from 2.31–2.62 Å. In the fifteenth Nd site, Nd is bonded to seven O atoms to form distorted NdO7 hexagonal pyramids that share a cornercorner with one NdO6 octahedra, a cornercorner with one ZrO5 square pyramid, edges with two NdO7 hexagonal pyramids, an edgeedge with one NdO6 octahedra, edges with two ZrO6 octahedra, an edgeedge with one ZrO5 square pyramid, and an edgeedge with one ZrO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 65°. There are a spread of Nd–O bond distances ranging from 2.31–2.65 Å. In the sixteenth Nd site, Nd is bonded in a distorted body-centered cubic geometry to eight O atoms. There are a spread of Nd–O bond distances ranging from 2.31–2.80 Å. There are sixteen inequivalent Zr sites. In the first Zr site, Zr is bonded to six O atoms to form distorted ZrO6 octahedra that share a cornercorner with one NdO7 hexagonal pyramid, corners with two ZrO6 octahedra, corners with two equivalent ZrO4 tetrahedra, an edgeedge with one NdO6 octahedra, and edges with two ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 41–44°. There are a spread of Zr–O bond distances ranging from 2.13–2.38 Å. In the second Zr site, Zr is bonded to six O atoms to form distorted ZrO6 octahedra that share a cornercorner with one NdO7 hexagonal pyramid, corners with two ZrO6 octahedra, corners with two equivalent ZrO4 tetrahedra, an edgeedge with one NdO7 hexagonal pyramid, and edges with two ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 41–47°. There are a spread of Zr–O bond distances ranging from 2.12–2.25 Å. In the third Zr site, Zr is bonded to six O atoms to form ZrO6 octahedra that share corners with two ZrO6 octahedra, corners with two ZrO5 square pyramids, a cornercorner with one ZrO4 tetrahedra, and edges with four NdO7 hexagonal pyramids. The corner-sharing octahedra tilt angles range from 44–47°. There are a spread of Zr–O bond distances ranging from 2.09–2.24 Å. In the fourth Zr site, Zr is bonded to five O atoms to form distorted ZrO5 square pyramids that share a cornercorner with one NdO7 hexagonal pyramid, a cornercorner with one NdO6 octahedra, corners with two ZrO6 octahedra, corners with two equivalent ZrO5 square pyramids, an edgeedge with one NdO7 hexagonal pyramid, and an edgeedge with one NdO6 octahedra. The corner-sharing octahedra tilt angles range from 48–72°. There are a spread of Zr–O bond distances ranging from 2.09–2.25 Å. In the fifth Zr site, Zr is bonded to four O atoms to form ZrO4 tetrahedra that share corners with three NdO7 hexagonal pyramids, a cornercorner with one NdO6 octahedra, and corners with six ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 48–72°. There are a spread of Zr–O bond distances ranging from 2.02–2.09 Å. In the sixth Zr site, Zr is bonded to five O atoms to form distorted ZrO5 square pyramids that share a cornercorner with one NdO7 hexagonal pyramid, a cornercorner with one NdO6 octahedra, corners with two ZrO6 octahedra, corners with two equivalent ZrO5 square pyramids, an edgeedge with one NdO7 hexagonal pyramid, and an edgeedge with one NdO6 octahedra. The corner-sharing octahedra tilt angles range from 49–74°. There are a spread of Zr–O bond distances ranging from 2.11–2.27 Å. In the seventh Zr site, Zr is bonded to six O atoms to form ZrO6 octahedra that share a cornercorner with one ZrO6 octahedra, corners with three ZrO5 square pyramids, a cornercorner with one ZrO5 trigonal bipyramid, and edges with four NdO7 hexagonal pyramids. The corner-sharing octahedral tilt angles are 59°. There are a spread of Zr–O bond distances ranging from 2.10–2.25 Å. In the eighth Zr site, Zr is bonded to five O atoms to form distorted ZrO5 square pyramids that share a cornercorner with one NdO7 hexagonal pyramid, a cornercorner with one NdO6 octahedra, corners with three ZrO6 octahedra, a cornercorner with one ZrO5 square pyramid, a cornercorner with one ZrO5 trigonal bipyramid, and edges with two NdO7 hexagonal pyramids. The corner-sharing octahedra tilt angles range from 48–68°. There are a spread of Zr–O bond distances ranging from 2.07–2.19 Å. In the ninth Zr site, Zr is bonded in a see-saw-like geometry to four O atoms. There are a spread of Zr–O bond distances ranging from 2.07–2.16 Å. In the tenth Zr site, Zr is bonded to six O atoms to form ZrO6 octahedra that share a cornercorner with one ZrO6 octahedra, corners with three ZrO5 square pyramids, corners with two equivalent ZrO5 trigonal bipyramids, and edges with four NdO7 hexagonal pyramids. The corner-sharing octahedral tilt angles are 59°. There are a spread of Zr–O bond distances ranging from 2.09–2.23 Å. In the eleventh Zr site, Zr is bonded to five O atoms to form ZrO5 square pyramids that share a cornercorner with one NdO7 hexagonal pyramid, a cornercorner with one NdO6 octahedra, corners with two ZrO6 octahedra, corners with two ZrO5 square pyramids, a cornercorner with one ZrO5 trigonal bipyramid, an edgeedge with one NdO7 hexagonal pyramid, and an edgeedge with one NdO6 octahedra. The corner-sharing octahedra tilt angles range from 48–73°. There are a spread of Zr–O bond distances ranging from 2.09–2.25 Å. In the twelfth Zr site, Zr is bonded to five O atoms to form distorted ZrO5 square pyramids that share a cornercorner with one NdO7 hexagonal pyramid, a cornercorner with one NdO6 octahedra, corners with three ZrO6 octahedra, a cornercorner with one ZrO5 square pyramid, an edgeedge with one NdO7 hexagonal pyramid, and an edgeedge with one NdO6 octahedra. The corner-sharing octahedra tilt angles range from 42–73°. There are a spread of Zr–O bond distances ranging from 2.09–2.30 Å. In the thirteenth Zr site, Zr is bonded to five O atoms to form distorted ZrO5 trigonal bipyramids that share a cornercorner with one NdO7 hexagonal pyramid, a cornercorner with one NdO6 octahedra, corners with three ZrO6 octahedra, corners with two ZrO5 square pyramids, and edges with four NdO7 hexagonal pyramids. The corner-sharing octahedra tilt angles range from 49–65°. There are a spread of Zr–O bond distances ranging from 2.09–2.15 Å. In the fourteenth Zr site, Zr is bonded to six O atoms to form ZrO6 octahedra that share a cornercorner with one ZrO6 octahedra, corners with three ZrO5 square pyramids, and edges with four NdO7 hexagonal pyramids. The corner-sharing octahedral tilt angles are 45°. There are a spread of Zr–O bond distances ranging from 2.10–2.24 Å. In the fifteenth Zr site, Zr is bonded to six O atoms to form distorted ZrO6 octahedra that share a cornercorner with one NdO7 hexagonal pyramid, a cornercorner with one NdO6 oc

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Nd2Zr8O19 by Materials Project

Nd2Zr8O19 is alpha bismuth trifluoride-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are two inequivalent Nd3+ sites. In the first Nd3+ site, Nd3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Nd–O bond distances ranging from 2.24–2.36 Å. In the second Nd3+ site, Nd3+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing NdO6 octahedra. The corner-sharing octahedral tilt angles are 61°. There are a spread of Nd–O bond distances ranging from 2.15–2.58 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 2.11–2.37 Å. In the second Zr4+ site, Zr4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.16–2.30 Å. In the third Zr4+ site, Zr4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.18–2.35 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 2.17–2.30 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 2.14–2.28 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 2.19–2.29 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 2.17–2.33 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 2.13–2.31 Å. There are nineteen inequivalent O2- sites. In the first O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the second O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the third O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the fourth O2- site, O2- is bonded to four 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 edge and corner-sharing OZr4 tetrahedra. In the ninth O2- site, O2- is bonded to two equivalent Nd3+ and two equivalent Zr4+ atoms to form a mixture of edge and corner-sharing ONd2Zr2 tetrahedra. In the tenth O2- site, O2- is bonded to two equivalent Nd3+ and two equivalent Zr4+ atoms to form a mixture of edge and corner-sharing ONd2Zr2 tetrahedra. In the eleventh O2- site, O2- is bonded to four Nd3+ atoms to form a mixture of edge and corner-sharing ONd4 tetrahedra. In the twelfth O2- site, O2- is bonded to two equivalent Nd3+ and two equivalent Zr4+ atoms to form ONd2Zr2 tetrahedra that share corners with twelve OZr4 tetrahedra and edges with six ONd4 tetrahedra. In the thirteenth O2- site, O2- is bonded to two equivalent Nd3+ and two equivalent Zr4+ atoms to form a mixture of distorted edge and corner-sharing ONd2Zr2 tetrahedra. In the fourteenth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the fifteenth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the sixteenth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of 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↗
DOE OSTI2020

Materials Data on NdZr9O20 by Materials Project

NdZr9O20 is Fluorite-derived structured and crystallizes in the triclinic P-1 space group. The structure is three-dimensional. Nd is bonded in a body-centered cubic geometry to eight O atoms. There are two shorter (2.38 Å) and six longer (2.39 Å) Nd–O bond lengths. There are five 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 2.20–2.26 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 2.20–2.27 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 2.21–2.27 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 2.20–2.28 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 2.20–2.28 Å. There are ten 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 one Nd and three Zr atoms to form a mixture of edge and corner-sharing ONdZr3 tetrahedra. In the fourth O site, O is bonded to one Nd and three Zr atoms to form a mixture of edge and corner-sharing ONdZr3 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 four Zr atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the seventh O site, O is bonded to one Nd and three Zr atoms to form a mixture of edge and corner-sharing ONdZr3 tetrahedra. In the eighth O site, O is bonded to four Zr atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the ninth O site, O is bonded to four Zr atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the tenth O site, O is bonded to one Nd and three Zr atoms to form a mixture of edge and corner-sharing ONdZr3 tetrahedra.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Nd2Zr2O7 by Materials Project

Nd2Zr2O7 crystallizes in the orthorhombic Pmma space group. The structure is three-dimensional. there are two inequivalent Nd3+ sites. In the first Nd3+ site, Nd3+ is bonded to six O2- atoms to form a mixture of distorted corner and edge-sharing NdO6 octahedra. The corner-sharing octahedral tilt angles are 73°. There are four shorter (2.37 Å) and two longer (2.39 Å) Nd–O bond lengths. In the second Nd3+ site, Nd3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are four shorter (2.27 Å) and two longer (2.42 Å) Nd–O bond lengths. 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 2.17–2.62 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 2.22–2.41 Å. There are five inequivalent O2- sites. In the first O2- site, O2- is bonded to three Nd3+ and one Zr4+ atom to form a mixture of distorted corner and edge-sharing ONd3Zr tetrahedra. In the second O2- site, O2- is bonded to four Zr4+ atoms to form distorted OZr4 tetrahedra that share corners with sixteen ONd3Zr tetrahedra and edges with six ONdZr3 tetrahedra. In the third O2- site, O2- is bonded to one Nd3+ and three Zr4+ atoms to form a mixture of corner and edge-sharing ONdZr3 tetrahedra. In the fourth O2- site, O2- is bonded to two equivalent Nd3+ and two equivalent Zr4+ atoms to form ONd2Zr2 tetrahedra that share corners with fourteen ONd3Zr tetrahedra and edges with five OZr4 tetrahedra. In the fifth O2- site, O2- is bonded to two equivalent Nd3+ and two equivalent Zr4+ atoms to form a mixture of corner and edge-sharing ONd2Zr2 tetrahedra.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on NdZrO3 by Materials Project

NdZrO3 crystallizes in the tetragonal I-4m2 space group. The structure is three-dimensional. Nd3+ is bonded to seven O2- atoms to form distorted NdO7 hexagonal pyramids that share a cornercorner with one NdO7 hexagonal pyramid, corners with two equivalent ZrO5 square pyramids, edges with five equivalent NdO7 hexagonal pyramids, and edges with four equivalent ZrO5 square pyramids. There are a spread of Nd–O bond distances ranging from 2.33–2.67 Å. Zr3+ is bonded to five O2- atoms to form ZrO5 square pyramids that share corners with two equivalent NdO7 hexagonal pyramids, corners with five equivalent ZrO5 square pyramids, and edges with four equivalent NdO7 hexagonal pyramids. There are two shorter (2.13 Å) and three longer (2.14 Å) Zr–O bond lengths. There are five inequivalent O2- sites. In the first O2- site, O2- is bonded to two equivalent Nd3+ and two equivalent Zr3+ atoms to form a mixture of distorted corner and edge-sharing ONd2Zr2 tetrahedra. In the second O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Nd3+ and two equivalent Zr3+ atoms. In the third O2- site, O2- is bonded to two equivalent Nd3+ and two equivalent Zr3+ atoms to form distorted ONd2Zr2 tetrahedra that share corners with two equivalent ONd4 tetrahedra and edges with five ONd2Zr2 tetrahedra. In the fourth O2- site, O2- is bonded to four equivalent Nd3+ atoms to form a mixture of corner and edge-sharing ONd4 tetrahedra. In the fifth O2- site, O2- is bonded to four equivalent Nd3+ atoms to form a mixture of corner and edge-sharing ONd4 tetrahedra.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on NdZrO3 by Materials Project

NdZrO3 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are two inequivalent Nd3+ sites. In the first Nd3+ site, Nd3+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Nd–O bond distances ranging from 2.37–2.49 Å. In the second Nd3+ site, Nd3+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Nd–O bond distances ranging from 2.37–2.47 Å. There are two inequivalent Zr3+ sites. In the first Zr3+ site, Zr3+ is bonded to six O2- atoms to form corner-sharing ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 30–35°. There are a spread of Zr–O bond distances ranging from 2.15–2.17 Å. In the second Zr3+ site, Zr3+ is bonded to six O2- atoms to form corner-sharing ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 30–35°. There are a spread of Zr–O bond distances ranging from 2.16–2.18 Å. There are six inequivalent O2- sites. In the first O2- site, O2- is bonded to two Nd3+ and two Zr3+ atoms to form a mixture of distorted corner and edge-sharing ONd2Zr2 tetrahedra. In the second O2- site, O2- is bonded to two Nd3+ and two Zr3+ atoms to form a mixture of distorted corner and edge-sharing ONd2Zr2 tetrahedra. In the third O2- site, O2- is bonded to two Nd3+ and two Zr3+ atoms to form a mixture of distorted corner and edge-sharing ONd2Zr2 tetrahedra. In the fourth O2- site, O2- is bonded to two Nd3+ and two Zr3+ atoms to form a mixture of distorted corner and edge-sharing ONd2Zr2 tetrahedra. In the fifth O2- site, O2- is bonded in a 3-coordinate geometry to one Nd3+ and two Zr3+ atoms. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to one Nd3+ and two Zr3+ atoms.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on NdZrO3 by Materials Project

NdZrO3 crystallizes in the orthorhombic Pbam space group. The structure is three-dimensional. there are two inequivalent Nd3+ sites. In the first Nd3+ site, Nd3+ is bonded in a 5-coordinate geometry to five O2- atoms. There are one shorter (2.35 Å) and four longer (2.46 Å) Nd–O bond lengths. In the second Nd3+ site, Nd3+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Nd–O bond distances ranging from 2.35–2.47 Å. Zr3+ is bonded to six O2- atoms to form corner-sharing ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 28–38°. There are a spread of Zr–O bond distances ranging from 2.15–2.18 Å. There are five inequivalent O2- sites. In the first O2- site, O2- is bonded to two equivalent Nd3+ and two equivalent Zr3+ atoms to form a mixture of distorted corner and edge-sharing ONd2Zr2 tetrahedra. In the second O2- site, O2- is bonded to two equivalent Nd3+ and two equivalent Zr3+ atoms to form a mixture of distorted corner and edge-sharing ONd2Zr2 trigonal pyramids. In the third O2- site, O2- is bonded to two equivalent Nd3+ and two equivalent Zr3+ atoms to form a mixture of distorted corner and edge-sharing ONd2Zr2 tetrahedra. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Nd3+ and two equivalent Zr3+ atoms. In the fifth O2- site, O2- is bonded in a 3-coordinate geometry to one Nd3+ and two equivalent Zr3+ atoms.

36 MATERIALS SCIENCE↗