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All sourcesNASA NTRSDOE OSTI
DOE OSTI2020

Materials Data on Zr3Sc4O12 by Materials Project

Sc4Zr3O12 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twenty inequivalent Sc3+ sites. In the first Sc3+ site, Sc3+ is bonded to six O2- atoms to form ScO6 octahedra that share a cornercorner with one ZrO7 pentagonal bipyramid and an edgeedge with one ZrO7 pentagonal bipyramid. There are a spread of Sc–O bond distances ranging from 2.08–2.16 Å. In the second Sc3+ site, Sc3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sc–O bond distances ranging from 2.09–2.70 Å. In the third Sc3+ site, Sc3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sc–O bond distances ranging from 2.08–2.65 Å. In the fourth Sc3+ site, Sc3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sc–O bond distances ranging from 2.07–2.67 Å. In the fifth Sc3+ site, Sc3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sc–O bond distances ranging from 2.08–2.58 Å. In the sixth Sc3+ site, Sc3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Sc–O bond distances ranging from 2.08–2.24 Å. In the seventh Sc3+ site, Sc3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sc–O bond distances ranging from 2.07–2.68 Å. In the eighth Sc3+ site, Sc3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sc–O bond distances ranging from 2.09–2.70 Å. In the ninth Sc3+ site, Sc3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sc–O bond distances ranging from 2.08–2.58 Å. In the tenth Sc3+ site, Sc3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sc–O bond distances ranging from 2.10–2.63 Å. In the eleventh Sc3+ site, Sc3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sc–O bond distances ranging from 2.07–2.67 Å. In the twelfth Sc3+ site, Sc3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sc–O bond distances ranging from 2.08–2.65 Å. In the thirteenth Sc3+ site, Sc3+ is bonded in an octahedral geometry to six O2- atoms. There are a spread of Sc–O bond distances ranging from 2.08–2.16 Å. In the fourteenth Sc3+ site, Sc3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sc–O bond distances ranging from 2.10–2.64 Å. In the fifteenth Sc3+ site, Sc3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sc–O bond distances ranging from 2.08–2.71 Å. In the sixteenth Sc3+ site, Sc3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Sc–O bond distances ranging from 2.08–2.24 Å. In the seventeenth Sc3+ site, Sc3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sc–O bond distances ranging from 2.11–2.66 Å. In the eighteenth Sc3+ site, Sc3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sc–O bond distances ranging from 2.09–2.71 Å. In the nineteenth Sc3+ site, Sc3+ is bonded to six O2- atoms to form ScO6 octahedra that share a cornercorner with one ZrO7 pentagonal bipyramid and an edgeedge with one ZrO7 pentagonal bipyramid. There are a spread of Sc–O bond distances ranging from 2.08–2.16 Å. In the twentieth Sc3+ site, Sc3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Sc–O bond distances ranging from 2.08–2.22 Å. There are fifteen 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 2.09–2.44 Å. In the second Zr4+ site, Zr4+ is bonded to seven O2- atoms to form distorted ZrO7 pentagonal bipyramids that share a cornercorner with one ScO6 octahedra and an edgeedge with one ScO6 octahedra. The corner-sharing octahedral tilt angles are 47°. There are a spread of Zr–O bond distances ranging from 2.08–2.39 Å. In the third Zr4+ site, Zr4+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Zr–O bond distances ranging from 2.10–2.53 Å. In the fourth 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 2.08–2.45 Å. In the fifth Zr4+ site, Zr4+ is bonded to seven O2- atoms to form distorted ZrO7 pentagonal bipyramids that share a cornercorner with one ScO6 octahedra and an edgeedge with one ScO6 octahedra. The corner-sharing octahedral tilt angles are 47°. There are a spread of Zr–O bond distances ranging from 2.08–2.40 Å. In the sixth Zr4+ site, Zr4+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Zr–O bond distances ranging from 2.09–2.42 Å. In the seventh 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 2.08–2.45 Å. In the eighth Zr4+ site, Zr4+ is bonded to seven O2- atoms to form a mixture of distorted edge and corner-sharing ZrO7 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 44°. There are a spread of Zr–O bond distances ranging from 2.06–2.40 Å. In the ninth 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 2.09–2.42 Å. In the tenth 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 2.07–2.45 Å. In the eleventh Zr4+ site, Zr4+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Zr–O bond distances ranging from 2.07–2.45 Å. In the twelfth Zr4+ site, Zr4+ is bonded in an octahedral geometry to six O2- atoms. There are a spread of Zr–O bond distances ranging from 2.07–2.13 Å. In the thirteenth 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 2.09–2.41 Å. In the fourteenth 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 2.09–2.53 Å. In the fifteenth Zr4+ site, Zr4+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing ZrO6 octahedra. There are a spread of Zr–O bond distances ranging from 2.07–2.14 Å. There are sixty inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to two Sc3+ and two Zr4+ atoms. In the second O2- site, O2- is bonded in a 3-coordinate geometry to two Sc3+ and two Zr4+ atoms. In the third O2- site, O2- is bonded to two Sc3+ and two Zr4+ atoms to form distorted OZr2Sc2 tetrahedra that share corners with ten OZrSc3 tetrahedra and edges with three OZr3Sc tetrahedra. In the fourth O2- site, O2- is bonded to two Sc3+ and two Zr4+ atoms to form distorted OZr2Sc2 tetrahedra that share corners with seven OZr2Sc2 tetrahedra and edges with three OZrSc3 tetrahedra. In the fifth O2- site, O2- is bonded in a 3-coordinate geometry to two Sc3+ and two Zr4+ atoms. In the sixth O2- site, O2- is bonded to two Sc3+ and two Zr4+ atoms to form distorted OZr2Sc2 tetrahedra that share corners with ten OZr2Sc2 tetrahedra and edges with three OZr3Sc tetrahedra. In the seventh O2- site, O2- is bonded in a 3-coordinate geometry to two Sc3+ and two Zr4+ atoms. In the eighth O2- site, O2- is bonded to one Sc3+ and three Zr4+ atoms to form a mixture of distorted edge and corner-sharing OZr3Sc tetrahedra. In the ninth O2- site, O2- is bonded in a 3-coordinate geometry to two Sc3+ and two Zr4+ atoms. In the tenth O2- site, O2- is bonded to two Sc3+ and two Zr4+ atoms to form distorted OZr2Sc2 tetrahedra that share corners with seven OZrSc3 tetrahedra and edges with three OZr2Sc2 tetrahedra. In the eleventh O2- site, O2- is bonded to two Sc3+ and two Zr4+ atoms to form a mixture of distorted edge and corner-sharing OZr2Sc2 tetrahedra. In the twelfth O2- site, O2- is bonded to two Sc3+ and two Zr4+ atoms to form a mixture of distorted edge and corner-sharing OZr2Sc2 tetrahedra. In the thirteenth O2- site, O2- is bonded to two Sc3+ and two Zr4+ atoms to form distorted OZr2Sc2 tetrahedra that share corners with eight OZrSc3 tetrahedra and edges with four OZr2Sc2 tetrahedra. In the fourteenth O2- site, O2- is bonded to one Sc3+ and three Zr4+ atoms to form a mixture of distorted edge and corner-sharing OZr3Sc tetrahedra. In the fifteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Sc3+ and three Zr4+ atoms. In the sixteenth O2- site, O2- is bonded to one Sc3+ and three Zr4+ atoms to form distorted OZr3Sc tetrahedra that share corners with ten OZr2Sc2 tetrahedra and edges with four OZr3Sc tetrahedra. In the seventeenth O2- site, O2- is bonded to three Sc3+ and one Zr4+ atom to form distorted OZrSc3 tetrahedra that share corners with six OZrSc3 tetrahedra and edges with three OZr2Sc2 tetrahedra. In the eighteenth O2- site, O2- is bonded to two Sc3+ and two Zr4+ atoms to form distorted OZr2Sc2 tetrahedra that share corners with nine OZrSc3 tetrahedra and edges with four OZr2Sc2 tetrahedra. In the nineteenth O2- site, O2- is bonded to three Sc3+ and one Zr4+ atom to form a mixture of distorted edge and corner-sharing OZrSc3 tetrahedra. In the twentieth O2- site, O2- is bonded to two Sc3+ and two Zr4+ atoms to form distorted OZr2Sc2 tetrahedra that share corners with eight OZr3Sc tetrahedra and edges with two OZrSc3 tetrahedra. In the twenty-first O2- site, O2- is bonded to two Sc3+ and two Zr4+ atoms to form a mixture of distorted edge and corner-sharing OZr2Sc2 tetrahedra. In the twenty-second O2- site, O2- is bonded to one Sc3+ and three Zr4+ atoms to form a mixture of distorted edge and corner-sharing OZr3Sc tetrahedra. In the twenty-third O2- site, O2- is bonded in a 3-coordinate geometry to three Sc3+ and one Zr4+ atom. In the twenty-fourth O2- site, O2- is bonded in a 3-coordinate geometry to three Zr4+ atoms. In the twenty-fifth O2- site, O2- is bonded to one Sc3+ and three Zr4+ atoms to form distorted OZr3Sc tetrahedra that share corners with ten OZr2Sc2 tetrahedra and edges with four OZrSc3 tetrahedra. In the twenty-sixth O2- site, O2- is bonded to two Sc3+ and two Zr4+ atoms to form distorted OZr2Sc2 tetrahedra that share corners with eleven OZrSc3 tetrahedra and edges with four OZr3Sc tetrahedra. In the twenty-seventh O2- site, O2- is bonded to two Sc3+ and two Zr4+ atoms to form distorted OZr2Sc2 tetrahedra that share corners with nine OZr3Sc tetrahedra and edges with four OZr2Sc2 tetrahedra. In the twenty-eighth O2- site, O2- is bonded to three Sc3+ and one Zr4+ atom to form distorted OZrSc3 tetrahedra that share corners with ten OZr2Sc2 tetrahedra and edges with four OZrSc3 tetrahedra. In the twenty-ninth O2- site, O2- is bonded to two Sc3+ and two Zr4+ atoms to form distorted OZr2Sc2 tetrahedra that share corners with eight OZrSc3 tetrahedra and edges with four OZr3Sc tetrahedra. In the thirtieth O2- site, O2- is bonded to three Sc3+ and one Zr4+ atom to form a mixture of distorted edge and corner-sharing OZrSc3 tetrahedra. In the thirty-first O2- site, O2- is bonded to two Sc3+ and two Zr4+ atoms to form distorted OZr2Sc2 tetrahedra that share corners with six OZrSc3 tetrahedra and edges with four OZr2Sc2 tetrahedra. In the thirty-second O2- site, O2- is bonded in a 3-coordinate geometry to three Sc3+ and one Zr4+ atom. In the thirty-third O2- site, O2- is bonded to one Sc3+ and three Zr4+ atoms to form distorted OZr3Sc tetrahedra that share corners with ten OZr2Sc2 tetrahedra and edges with four OZrSc3 tetrahedra. In the thirty-fourth O2- site, O2- is bonded to two Sc3+ and two Zr4+ atoms to form distorted OZr2Sc2 tetrahedra that share corners with eleven OZr2Sc2 tetrahedra and edges with four OZrSc3 tetrahedra. In the thirty-fifth O2- site, O2- is bonded to three Sc3+ and one Zr4+ atom to form distorted OZrSc3 tetrahedra that share corners with seven OZr2Sc2 tetrahedra and edges with four OZr3Sc tetrahedra. In the thirty-sixth O2- site, O2- is

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Zr3Sc4O12 by Materials Project

Sc4Zr3O12 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Sc3+ sites. In the first Sc3+ site, Sc3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sc–O bond distances ranging from 2.09–2.71 Å. In the second Sc3+ site, Sc3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sc–O bond distances ranging from 2.11–2.69 Å. In the third Sc3+ site, Sc3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sc–O bond distances ranging from 2.08–2.67 Å. In the fourth Sc3+ site, Sc3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Sc–O bond distances ranging from 2.07–2.23 Å. In the fifth Sc3+ site, Sc3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sc–O bond distances ranging from 2.08–2.70 Å. In the sixth Sc3+ site, Sc3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Sc–O bond distances ranging from 2.08–2.25 Å. In the seventh Sc3+ site, Sc3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sc–O bond distances ranging from 2.08–2.64 Å. In the eighth Sc3+ site, Sc3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Sc–O bond distances ranging from 2.08–2.29 Å. There are six 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 2.08–2.60 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 2.07–2.15 Å. In the third Zr4+ site, Zr4+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Zr–O bond distances ranging from 2.10–2.57 Å. In the fourth 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 2.09–2.58 Å. In the fifth Zr4+ site, Zr4+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Zr–O bond distances ranging from 2.10–2.60 Å. In the sixth Zr4+ site, Zr4+ is bonded in an octahedral geometry to six O2- atoms. There are a spread of Zr–O bond distances ranging from 2.08–2.16 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to three Sc3+ and one Zr4+ atom. In the second O2- site, O2- is bonded in a 3-coordinate geometry to one Sc3+ and three Zr4+ atoms. In the third O2- site, O2- is bonded in a 3-coordinate geometry to two Sc3+ and two Zr4+ atoms. In the fourth O2- site, O2- is bonded to three Sc3+ and one Zr4+ atom to form a mixture of distorted edge and corner-sharing OZrSc3 tetrahedra. In the fifth O2- site, O2- is bonded in a 3-coordinate geometry to one Sc3+ and two Zr4+ atoms. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to two Sc3+ and two Zr4+ atoms. In the seventh O2- site, O2- is bonded to two Sc3+ and two Zr4+ atoms to form a mixture of distorted edge and corner-sharing OZr2Sc2 tetrahedra. In the eighth O2- site, O2- is bonded to three Sc3+ and one Zr4+ atom to form distorted OZrSc3 tetrahedra that share corners with six OZr2Sc2 tetrahedra and edges with three OZrSc3 tetrahedra. In the ninth O2- site, O2- is bonded to two Sc3+ and two Zr4+ atoms to form distorted OZr2Sc2 tetrahedra that share corners with six OZrSc3 tetrahedra and edges with three OZr2Sc2 tetrahedra. In the tenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Sc3+ and two Zr4+ atoms. In the eleventh O2- site, O2- is bonded to three Sc3+ and one Zr4+ atom to form a mixture of distorted edge and corner-sharing OZrSc3 tetrahedra. In the twelfth O2- site, O2- is bonded to three Sc3+ and one Zr4+ atom to form a mixture of distorted edge and corner-sharing OZrSc3 tetrahedra. In the thirteenth O2- site, O2- is bonded to three Sc3+ and one Zr4+ atom to form a mixture of distorted edge and corner-sharing OZrSc3 tetrahedra. In the fourteenth O2- site, O2- is bonded to three Sc3+ and one Zr4+ atom to form distorted OZrSc3 tetrahedra that share corners with six OZrSc3 tetrahedra and edges with three OZr2Sc2 tetrahedra. In the fifteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Sc3+ and two Zr4+ atoms. In the sixteenth O2- site, O2- is bonded to three Sc3+ and one Zr4+ atom to form a mixture of distorted edge and corner-sharing OZrSc3 tetrahedra. In the seventeenth O2- site, O2- is bonded to two Sc3+ and two Zr4+ atoms to form distorted OZr2Sc2 tetrahedra that share corners with six OZr2Sc2 tetrahedra and edges with three OZrSc3 tetrahedra. In the eighteenth O2- site, O2- is bonded to two Sc3+ and two Zr4+ atoms to form a mixture of distorted edge and corner-sharing OZr2Sc2 tetrahedra. In the nineteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Sc3+ and two Zr4+ atoms. In the twentieth O2- site, O2- is bonded in a 3-coordinate geometry to two Sc3+ and two Zr4+ atoms. In the twenty-first O2- site, O2- is bonded to three Sc3+ and one Zr4+ atom to form a mixture of distorted edge and corner-sharing OZrSc3 tetrahedra. In the twenty-second O2- site, O2- is bonded in a 3-coordinate geometry to one Sc3+ and two Zr4+ atoms. In the twenty-third O2- site, O2- is bonded in a 3-coordinate geometry to two Sc3+ and two Zr4+ atoms. In the twenty-fourth O2- site, O2- is bonded in a 3-coordinate geometry to two Sc3+ and two Zr4+ atoms.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Zr9ScO20 by Materials Project

ScZr9O20 crystallizes in the triclinic P1 space group. The structure is three-dimensional. Sc is bonded in a body-centered cubic geometry to eight O atoms. There are a spread of Sc–O bond distances ranging from 2.13–2.42 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 2.11–2.39 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 2.11–2.39 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 2.10–2.42 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 2.11–2.40 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 2.10–2.41 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 2.12–2.40 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 2.10–2.40 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 2.12–2.41 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 2.11–2.41 Å. There are twenty 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 four Zr atoms to form a mixture of edge and corner-sharing OZr4 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 one Sc and three Zr atoms to form a mixture of edge and corner-sharing OZr3Sc 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 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 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 Sc and three Zr atoms to form a mixture of edge and corner-sharing OZr3Sc tetrahedra. In the eleventh O site, O is bonded to one Sc and three Zr atoms to form a mixture of edge and corner-sharing OZr3Sc tetrahedra. In the twelfth O site, O is bonded to one Sc and three Zr atoms to form a mixture of edge and corner-sharing OZr3Sc tetrahedra. In the thirteenth O site, O is bonded to one Sc and three Zr atoms to form a mixture of edge and corner-sharing OZr3Sc tetrahedra. In the fourteenth O site, O is bonded to one Sc and three Zr atoms to form a mixture of edge and corner-sharing OZr3Sc tetrahedra. In the fifteenth O site, O is bonded to one Sc and three Zr atoms to form OZr3Sc tetrahedra that share corners with sixteen OZr4 tetrahedra and edges with six OZr3Sc 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 OZr3Sc tetrahedra. In the seventeenth O site, O is bonded to four Zr atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the eighteenth O site, O is bonded to four Zr atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the nineteenth O site, O is bonded to one Sc and three Zr atoms to form a mixture of edge and corner-sharing OZr3Sc tetrahedra. In the twentieth O site, O is bonded to four Zr atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Zr5Sc2O13 by Materials Project

Zr5Sc2O13 crystallizes in the trigonal R3 space group. The structure is three-dimensional. there are two inequivalent Sc3+ sites. In the first Sc3+ site, Sc3+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Sc–O bond distances ranging from 2.19–2.52 Å. In the second Sc3+ site, Sc3+ is bonded to seven O2- atoms to form distorted ScO7 pentagonal bipyramids that share a cornercorner with one ZrO6 octahedra, a cornercorner with one ZrO7 pentagonal bipyramid, corners with two equivalent ScO7 pentagonal bipyramids, and edges with five ZrO7 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 51°. There are a spread of Sc–O bond distances ranging from 2.08–2.29 Å. There are four inequivalent Zr4+ sites. In the first Zr4+ site, Zr4+ is bonded to six O2- atoms to form ZrO6 octahedra that share corners with three equivalent ScO7 pentagonal bipyramids and corners with six ZrO7 pentagonal bipyramids. There are three shorter (2.11 Å) and three longer (2.15 Å) Zr–O bond lengths. In the second 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 ScO7 pentagonal bipyramid, edges with two equivalent ScO7 pentagonal bipyramids, and edges with four ZrO7 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 60°. There are a spread of Zr–O bond distances ranging from 2.11–2.26 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, corners with two equivalent ZrO7 pentagonal bipyramids, edges with two equivalent ZrO7 pentagonal bipyramids, and edges with three equivalent ScO7 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 46°. There are a spread of Zr–O bond distances ranging from 2.09–2.27 Å. In the fourth Zr4+ site, Zr4+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Zr–O bond distances ranging from 2.11–2.24 Å. There are ten inequivalent O2- sites. In the first O2- site, O2- is bonded to two equivalent Sc3+ and two Zr4+ atoms to form a mixture of edge and corner-sharing OZr2Sc2 tetrahedra. In the second O2- site, O2- is bonded to one Sc3+ and three Zr4+ atoms to form a mixture of edge and corner-sharing OZr3Sc tetrahedra. In the third O2- site, O2- is bonded in a trigonal planar geometry to one Sc3+ and two Zr4+ atoms. In the fourth O2- site, O2- is bonded to one Sc3+ and three equivalent Zr4+ atoms to form a mixture of distorted edge and corner-sharing OZr3Sc tetrahedra. In the fifth O2- site, O2- is bonded to two Sc3+ and two Zr4+ atoms to form OZr2Sc2 tetrahedra that share corners with twelve OZr2Sc2 tetrahedra and edges with five OZr3Sc tetrahedra. In the sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Zr4+ atoms. In the seventh O2- site, O2- is bonded to two Sc3+ and two Zr4+ atoms to form a mixture of edge and corner-sharing OZr2Sc2 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 one Sc3+ and three equivalent Zr4+ atoms to form distorted OZr3Sc tetrahedra that share corners with ten OZr3Sc tetrahedra and edges with six OZr4 tetrahedra. In the tenth O2- site, O2- is bonded to one Sc3+ and three Zr4+ atoms to form distorted OZr3Sc tetrahedra that share corners with twelve OZr2Sc2 tetrahedra and edges with four OZr4 tetrahedra.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Zr8Sc2O19 by Materials Project

Sc2Zr8O19 is alpha bismuth trifluoride-derived structured and crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are two inequivalent Sc3+ sites. In the first Sc3+ site, Sc3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Sc–O bond distances ranging from 2.01–2.24 Å. In the second Sc3+ site, Sc3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Sc–O bond distances ranging from 2.05–2.37 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 2.11–2.32 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 2.16–2.32 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 2.15–2.28 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 2.18–2.27 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 2.18–2.24 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 2.13–2.26 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 2.08–2.33 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 2.14–2.30 Å. There are nineteen inequivalent O2- sites. In the first O2- site, O2- is bonded to four 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 a mixture of corner and edge-sharing OZr4 tetrahedra. In the fifth O2- site, O2- is bonded to two equivalent Sc3+ and two equivalent Zr4+ atoms to form a mixture of corner and edge-sharing OZr2Sc2 tetrahedra. In the sixth O2- site, O2- is bonded to two equivalent Sc3+ and two equivalent Zr4+ atoms to form distorted OZr2Sc2 tetrahedra that share corners with fourteen OSc4 tetrahedra and edges with five OZr4 tetrahedra. In the seventh O2- site, O2- is bonded to four Sc3+ atoms to form a mixture of corner and edge-sharing OSc4 tetrahedra. In the eighth O2- site, O2- is bonded to two equivalent Sc3+ and two equivalent Zr4+ atoms to form a mixture of corner and edge-sharing OZr2Sc2 tetrahedra. In the ninth O2- site, O2- is bonded to two equivalent Sc3+ and two equivalent Zr4+ atoms to form distorted OZr2Sc2 tetrahedra that share corners with fourteen OSc4 tetrahedra and edges with five OZr2Sc2 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 Zr4+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the twelfth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the thirteenth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the fourteenth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the fifteenth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the sixteenth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the seventeenth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the eighteenth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of 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.

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