DOI: 10.17188/1263301
title: Materials Data on Nd12Zr12O37 by Materials Project

description: 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