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Zr27O49 crystallizes in the trigonal P3m1 space group. The structure is three-dimensional. there are twenty-five inequivalent Zr+3.63+ sites. In the first Zr+3.63+ site, Zr+3.63+ is bonded to five O2- atoms to form distorted corner-sharing ZrO5 trigonal bipyramids. There are a spread of Zr–O bond distances ranging from 2.15–2.23 Å. In the second Zr+3.63+ site, Zr+3.63+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Zr–O bond distances ranging from 2.23–2.32 Å. In the third Zr+3.63+ site, Zr+3.63+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.21–2.43 Å. In the fourth Zr+3.63+ site, Zr+3.63+ is bonded to five O2- atoms to form distorted corner-sharing ZrO5 trigonal bipyramids. There are a spread of Zr–O bond distances ranging from 2.13–2.21 Å. In the fifth Zr+3.63+ site, Zr+3.63+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Zr–O bond distances ranging from 2.23–2.49 Å. In the sixth Zr+3.63+ site, Zr+3.63+ is bonded to five O2- atoms to form distorted corner-sharing ZrO5 trigonal bipyramids. There are a spread of Zr–O bond distances ranging from 2.13–2.28 Å. In the seventh Zr+3.63+ site, Zr+3.63+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Zr–O bond distances ranging from 2.23–2.32 Å. In the eighth Zr+3.63+ site, Zr+3.63+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.21–2.41 Å. In the ninth Zr+3.63+ site, Zr+3.63+ is bonded to five O2- atoms to form distorted corner-sharing ZrO5 trigonal bipyramids. There are a spread of Zr–O bond distances ranging from 2.14–2.22 Å. In the tenth Zr+3.63+ site, Zr+3.63+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Zr–O bond distances ranging from 2.23–2.30 Å. In the eleventh Zr+3.63+ site, Zr+3.63+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.22–2.40 Å. In the twelfth Zr+3.63+ site, Zr+3.63+ is bonded to five O2- atoms to form distorted corner-sharing ZrO5 trigonal bipyramids. There are a spread of Zr–O bond distances ranging from 2.12–2.24 Å. In the thirteenth Zr+3.63+ site, Zr+3.63+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Zr–O bond distances ranging from 2.23–2.29 Å. In the fourteenth Zr+3.63+ site, Zr+3.63+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.22–2.28 Å. In the fifteenth Zr+3.63+ site, Zr+3.63+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.21–2.25 Å. In the sixteenth Zr+3.63+ site, Zr+3.63+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.22–2.25 Å. In the seventeenth Zr+3.63+ site, Zr+3.63+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.22–2.25 Å. In the eighteenth Zr+3.63+ site, Zr+3.63+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.22–2.24 Å. In the nineteenth Zr+3.63+ site, Zr+3.63+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.22–2.24 Å. In the twentieth Zr+3.63+ site, Zr+3.63+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.22–2.24 Å. In the twenty-first Zr+3.63+ site, Zr+3.63+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.22–2.24 Å. In the twenty-second Zr+3.63+ site, Zr+3.63+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.22–2.25 Å. In the twenty-third Zr+3.63+ site, Zr+3.63+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.22–2.26 Å. In the twenty-fourth Zr+3.63+ site, Zr+3.63+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.22–2.25 Å. In the twenty-fifth Zr+3.63+ site, Zr+3.63+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.19–2.40 Å. There are forty-nine inequivalent O2- sites. In the first O2- site, O2- is bonded to four Zr+3.63+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the second O2- site, O2- is bonded to four Zr+3.63+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the third O2- site, O2- is bonded to four Zr+3.63+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the fourth O2- site, O2- is bonded to four Zr+3.63+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the fifth O2- site, O2- is bonded to four Zr+3.63+ atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra. In the sixth O2- site, O2- is bonded to four Zr+3.63+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the seventh O2- site, O2- is bonded to four Zr+3.63+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the eighth O2- site, O2- is bonded to four Zr+3.63+ atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra. In the ninth O2- site, O2- is bonded to four Zr+3.63+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the tenth O2- site, O2- is bonded to four Zr+3.63+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the eleventh O2- site, O2- is bonded to four Zr+3.63+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the twelfth O2- site, O2- is bonded to four Zr+3.63+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the thirteenth O2- site, O2- is bonded to four Zr+3.63+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the fourteenth O2- site, O2- is bonded to four Zr+3.63+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the fifteenth O2- site, O2- is bonded to four Zr+3.63+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the sixteenth O2- site, O2- is bonded to four Zr+3.63+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the seventeenth O2- site, O2- is bonded to four Zr+3.63+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the eighteenth O2- site, O2- is bonded to four Zr+3.63+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the nineteenth O2- site, O2- is bonded to four Zr+3.63+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the twentieth O2- site, O2- is bonded to four Zr+3.63+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the twenty-first O2- site, O2- is bonded to four Zr+3.63+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the twenty-second O2- site, O2- is bonded to four Zr+3.63+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the twenty-third O2- site, O2- is bonded to four Zr+3.63+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the twenty-fourth O2- site, O2- is bonded to four Zr+3.63+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the twenty-fifth O2- site, O2- is bonded to four Zr+3.63+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the twenty-sixth O2- site, O2- is bonded to four Zr+3.63+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the twenty-seventh O2- site, O2- is bonded to four Zr+3.63+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the twenty-eighth O2- site, O2- is bonded to four Zr+3.63+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the twenty-ninth O2- site, O2- is bonded to four Zr+3.63+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the thirtieth O2- site, O2- is bonded to four Zr+3.63+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the thirty-first O2- site, O2- is bonded to four Zr+3.63+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the thirty-second O2- site, O2- is bonded to four Zr+3.63+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the thirty-third O2- site, O2- is bonded to four Zr+3.63+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the thirty-fourth O2- site, O2- is bonded to four Zr+3.63+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the thirty-fifth O2- site, O2- is bonded to four Zr+3.63+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. The O–Zr bond length is 2.23 Å. In the thirty-sixth O2- site, O2- is bonded to four Zr+3.63+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the thirty-seventh O2- site, O2- is bonded to four Zr+3.63+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. There are one shorter (2.22 Å) and three longer (2.23 Å) O–Zr bond lengths. In the thirty-eighth O2- site, O2- is bonded to four Zr+3.63+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. All O–Zr bond lengths are 2.22 Å. In the thirty-ninth O2- site, O2- is bonded to four Zr+3.63+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. All O–Zr bond lengths are 2.23 Å. In the fortieth O2- site, O2- is bonded to four Zr+3.63+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. There are three shorter (2.22 Å) and one longer (2.24 Å) O–Zr bond lengths. In the forty-first O2- site, O2- is bonded to four Zr+3.63+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the forty-second O2- site, O2- is bonded to four Zr+3.63+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the forty-third O2- site, O2- is bonded to four Zr+3.63+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. The O–Zr bond length is 2.25 Å. In the forty-fourth O2- site, O2- is bonded to four Zr+3.63+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the forty-fifth O2- site, O2- is bonded to four Zr+3.63+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the forty-sixth O2- site, O2- is bonded to four Zr+3.63+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the forty-seventh O2- site, O2- is bonded to four Zr+3.63+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the forty-eighth O2- site, O2- is bonded to four Zr+3.63+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the forty-ninth O2- site, O2- is bonded to four Zr+3.63+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra.
Y6Zr22O53 crystallizes in the orthorhombic Pmm2 space group. The structure is three-dimensional. there are six inequivalent Y sites. In the first Y site, Y is bonded in a distorted body-centered cubic geometry to eight O atoms. There are a spread of Y–O bond distances ranging from 2.20–2.60 Å. In the second Y site, Y is bonded in a distorted body-centered cubic geometry to eight O atoms. There are a spread of Y–O bond distances ranging from 2.22–2.60 Å. In the third Y site, Y is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Y–O bond distances ranging from 2.13–2.45 Å. In the fourth Y site, Y is bonded in a distorted body-centered cubic geometry to eight O atoms. There are a spread of Y–O bond distances ranging from 2.22–2.60 Å. In the fifth Y site, Y is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Y–O bond distances ranging from 2.12–2.44 Å. In the sixth Y site, Y is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Y–O bond distances ranging from 2.07–2.40 Å. There are twenty-two inequivalent Zr sites. In the first Zr site, Zr is bonded in a distorted body-centered cubic geometry to eight O atoms. There are a spread of Zr–O bond distances ranging from 2.12–2.43 Å. In the second Zr site, Zr is bonded in a distorted body-centered cubic geometry to eight O atoms. There are a spread of Zr–O bond distances ranging from 2.08–2.47 Å. In the third Zr site, Zr is bonded in a distorted body-centered cubic geometry to eight O atoms. There are a spread of Zr–O bond distances ranging from 2.08–2.45 Å. In the fourth Zr site, Zr is bonded in a distorted body-centered cubic geometry to eight O atoms. There are a spread of Zr–O bond distances ranging from 2.08–2.48 Å. In the fifth Zr site, Zr is bonded in a distorted body-centered cubic geometry to eight O atoms. There are a spread of Zr–O bond distances ranging from 2.08–2.47 Å. In the sixth Zr site, Zr is bonded in a distorted body-centered cubic geometry to eight O atoms. There are a spread of Zr–O bond distances ranging from 2.08–2.47 Å. In the seventh Zr site, Zr is bonded in a distorted body-centered cubic geometry to eight O atoms. There are a spread of Zr–O bond distances ranging from 2.08–2.48 Å. In the eighth Zr site, Zr is bonded in a distorted body-centered cubic geometry to eight O atoms. There are a spread of Zr–O bond distances ranging from 2.09–2.45 Å. In the ninth Zr site, Zr is bonded in a body-centered cubic geometry to eight O atoms. There are a spread of Zr–O bond distances ranging from 2.13–2.40 Å. In the tenth Zr site, Zr is bonded in a distorted body-centered cubic geometry to eight O atoms. There are a spread of Zr–O bond distances ranging from 2.11–2.48 Å. In the eleventh Zr site, Zr is bonded in a distorted body-centered cubic geometry to eight O atoms. There are a spread of Zr–O bond distances ranging from 2.10–2.50 Å. In the twelfth Zr site, Zr is bonded in a distorted body-centered cubic geometry to eight O atoms. There are a spread of Zr–O bond distances ranging from 2.10–2.51 Å. In the thirteenth Zr site, Zr is bonded in a distorted body-centered cubic geometry to eight O atoms. There are a spread of Zr–O bond distances ranging from 2.10–2.51 Å. In the fourteenth Zr site, Zr is bonded in a distorted body-centered cubic geometry to eight O atoms. There are a spread of Zr–O bond distances ranging from 2.10–2.51 Å. In the fifteenth Zr site, Zr is bonded in a distorted body-centered cubic geometry to eight O atoms. There are a spread of Zr–O bond distances ranging from 2.12–2.48 Å. In the sixteenth Zr site, Zr is bonded in a body-centered cubic geometry to eight O atoms. There are a spread of Zr–O bond distances ranging from 2.16–2.40 Å. In the seventeenth Zr site, Zr is bonded in a distorted body-centered cubic geometry to eight O atoms. There are a spread of Zr–O bond distances ranging from 2.10–2.51 Å. In the eighteenth Zr site, Zr is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Zr–O bond distances ranging from 2.01–2.37 Å. In the nineteenth Zr site, Zr is bonded in a body-centered cubic geometry to eight O atoms. There are a spread of Zr–O bond distances ranging from 2.20–2.32 Å. In the twentieth Zr site, Zr is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Zr–O bond distances ranging from 2.00–2.36 Å. In the twenty-first Zr site, Zr is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Zr–O bond distances ranging from 2.01–2.37 Å. In the twenty-second Zr site, Zr is bonded in a body-centered cubic geometry to eight O atoms. There are a spread of Zr–O bond distances ranging from 2.19–2.33 Å. There are fifty-three inequivalent O sites. In the first O site, O is bonded to four Zr atoms to form distorted OZr4 tetrahedra that share corners with sixteen OY2Zr2 tetrahedra and edges with six OZr4 tetrahedra. In the second O site, O is bonded to four Zr atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the third O site, O is bonded to four Zr atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the fourth O site, O is bonded to four Zr atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the fifth O site, O is bonded to four Zr atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the sixth O site, O is bonded to four Zr atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the seventh O site, O is bonded to four Zr atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the eighth O site, O is bonded to four Zr atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the ninth O site, O is bonded to four Zr atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the tenth O site, O is bonded to four Zr atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the eleventh O site, O is bonded to four Zr atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the twelfth O site, O is bonded to four Zr atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the thirteenth O site, O is bonded to four Zr atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the fourteenth O site, O is bonded in a 4-coordinate geometry to two equivalent Y and two equivalent Zr atoms. In the fifteenth O site, O is bonded to two equivalent Y and two equivalent Zr atoms to form a mixture of edge and corner-sharing OY2Zr2 tetrahedra. In the sixteenth O site, O is bonded in a 4-coordinate geometry to two equivalent Y and two equivalent Zr atoms. In the seventeenth O site, O is bonded to two equivalent Y and two equivalent Zr atoms to form a mixture of edge and corner-sharing OY2Zr2 tetrahedra. In the eighteenth O site, O is bonded in a 4-coordinate geometry to two equivalent Y and two equivalent Zr atoms. In the nineteenth O site, O is bonded to two equivalent Y and two equivalent Zr atoms to form a mixture of distorted edge and corner-sharing OY2Zr2 tetrahedra. In the twentieth O site, O is bonded to four Zr atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the twenty-first O site, O is bonded to four Zr atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the twenty-second O site, O is bonded to four Zr atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the twenty-third O site, O is bonded to four Zr atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the twenty-fourth O site, O is bonded to four Zr atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the twenty-fifth O site, O is bonded to four Zr atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the twenty-sixth O site, O is bonded to four Zr atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the twenty-seventh O site, O is bonded to two equivalent Y and two equivalent Zr atoms to form a mixture of edge and corner-sharing OY2Zr2 tetrahedra. In the twenty-eighth O site, O is bonded to two equivalent Y and two equivalent Zr atoms to form a mixture of edge and corner-sharing OY2Zr2 tetrahedra. In the twenty-ninth O site, O is bonded to four Zr atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the thirtieth O site, O is bonded to two equivalent Y and two equivalent Zr atoms to form a mixture of edge and corner-sharing OY2Zr2 tetrahedra. In the thirty-first O site, O is bonded to two equivalent Y and two equivalent Zr atoms to form a mixture of edge and corner-sharing OY2Zr2 tetrahedra. In the thirty-second O site, O is bonded to two equivalent Y and two equivalent Zr atoms to form a mixture of edge and corner-sharing OY2Zr2 tetrahedra. In the thirty-third O site, O is bonded to two equivalent Y and two equivalent Zr atoms to form a mixture of edge and corner-sharing OY2Zr2 tetrahedra. In the thirty-fourth O site, O is bonded to four Zr atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the thirty-fifth O site, O is bonded to four Zr atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the thirty-sixth O site, O is bonded to four Zr atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the thirty-seventh O site, O is bonded to four Zr atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the thirty-eighth O site, O is bonded to four Zr atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the thirty-ninth O site, O is bonded to four Zr atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the fortieth O site, O is bonded to two equivalent Y and two equivalent Zr atoms to form a mixture of edge and corner-sharing OY2Zr2 tetrahedra. In the forty-first O site, O is bonded to four Zr atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the forty-second O site, O is bonded to four Zr atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the forty-third O site, O is bonded to two equivalent Y and two equivalent Zr atoms to form a mixture of edge and corner-sharing OY2Zr2 tetrahedra. In the forty-fourth O site, O is bonded to two equivalent Y and two equivalent Zr atoms to form a mixture of edge and corner-sharing OY2Zr2 tetrahedra. In the forty-fifth O site, O is bonded to two equivalent Y and two equivalent Zr atoms to form a mixture of edge and corner-sharing OY2Zr2 tetrahedra. In the forty-sixth O site, O is bonded to two equivalent Y and two equivalent Zr atoms to form a mixture of edge and corner-sharing OY2Zr2 tetrahedra. In the forty-seventh O site, O is bonded to two equivalent Y and two equivalent Zr atoms to form a mixture of edge and corner-sharing OY2Zr2 tetrahedra. In the forty-eighth O site, O is bonded to four Zr atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the forty-ninth O site, O is bonded to four Zr atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the fiftieth O site, O is bonded to four Zr atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the fifty-first O site, O is bonded to two equivalent Y and two equivalent Zr atoms to form OY2Zr2 tetrahedra that share corners with fourteen OY2Zr2 tetrahedra and edges with five OZr4 tetrahedra. In the fifty-second O site, O is bonded to two equivalent Y and two equivalent Zr atoms to form a mixture of edge and corner-sharing OY2Zr2 tetrahedra. In the fifty-third O site, O is bonded to two equivalent Y and two equivalent Zr atoms to form a mixture of edge and corner-sharing OY2Zr2 tetrahedra.
Y2Zr24O51 crystallizes in the orthorhombic Pmm2 space group. The structure is three-dimensional. there are two inequivalent Y3+ sites. In the first Y3+ site, Y3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Y–O bond distances ranging from 2.16–2.42 Å. In the second Y3+ site, Y3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are two shorter (2.09 Å) and four longer (2.37 Å) Y–O bond lengths. There are twenty-four inequivalent Zr4+ sites. In the first Zr4+ site, Zr4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.17–2.33 Å. In the second Zr4+ site, Zr4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.11–2.42 Å. In the third Zr4+ site, Zr4+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are four shorter (2.10 Å) and four longer (2.44 Å) Zr–O bond lengths. In the fourth Zr4+ site, Zr4+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.09–2.46 Å. In the fifth Zr4+ site, Zr4+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.09–2.46 Å. In the sixth Zr4+ site, Zr4+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are four shorter (2.09 Å) and four longer (2.45 Å) Zr–O bond lengths. In the seventh Zr4+ site, Zr4+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.09–2.45 Å. In the eighth Zr4+ site, Zr4+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.09–2.45 Å. In the ninth Zr4+ site, Zr4+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.09–2.45 Å. In the tenth Zr4+ site, Zr4+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.09–2.45 Å. In the eleventh Zr4+ site, Zr4+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.10–2.45 Å. In the twelfth Zr4+ site, Zr4+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.10–2.43 Å. In the thirteenth Zr4+ site, Zr4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.20–2.27 Å. In the fourteenth Zr4+ site, Zr4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.13–2.39 Å. In the fifteenth Zr4+ site, Zr4+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.10–2.44 Å. In the sixteenth Zr4+ site, Zr4+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.09–2.45 Å. In the seventeenth Zr4+ site, Zr4+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.09–2.45 Å. In the eighteenth Zr4+ site, Zr4+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.09–2.45 Å. In the nineteenth Zr4+ site, Zr4+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.09–2.45 Å. In the twentieth Zr4+ site, Zr4+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.09–2.45 Å. In the twenty-first Zr4+ site, Zr4+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.09–2.45 Å. In the twenty-second Zr4+ site, Zr4+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.09–2.44 Å. In the twenty-third Zr4+ site, Zr4+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.09–2.44 Å. In the twenty-fourth Zr4+ site, Zr4+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.10–2.43 Å. There are fifty-one inequivalent O2- sites. In the first O2- site, O2- is bonded to two equivalent Y3+ and two equivalent Zr4+ atoms to form OY2Zr2 tetrahedra that share corners with fourteen OZr4 tetrahedra and edges with five OY2Zr2 tetrahedra. In the second O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the third O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the fourth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra. In the fifth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra. In the sixth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra. In the seventh O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra. In the eighth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra. In the ninth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra. In the tenth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra. In the eleventh O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra. In the twelfth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra. In the thirteenth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra. In the fourteenth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra. In the fifteenth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra. In the sixteenth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra. In the seventeenth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra. In the eighteenth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra. In the nineteenth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra. In the twentieth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra. In the twenty-first O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra. In the twenty-second O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra. In the twenty-third O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra. In the twenty-fourth O2- site, O2- is bonded to four Zr4+ atoms to form distorted OZr4 tetrahedra that share corners with sixteen OY2Zr2 tetrahedra and edges with six OZr4 tetrahedra. In the twenty-fifth O2- site, O2- is bonded to two equivalent Y3+ and two equivalent Zr4+ atoms to form distorted OY2Zr2 tetrahedra that share corners with fourteen OZr4 tetrahedra and edges with five OY2Zr2 tetrahedra. In the twenty-sixth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the twenty-seventh O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra. In the twenty-eighth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra. In the twenty-ninth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra. In the thirtieth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra. In the thirty-first O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra. In the thirty-second O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra. In the thirty-third O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra. In the thirty-fourth O2- site, O2- is bonded to four Zr4+ atoms to form OZr4 tetrahedra that share corners with sixteen OY2Zr2 tetrahedra and edges with six OZr4 tetrahedra. In the thirty-fifth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra. In the thirty-sixth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra. In the thirty-seventh O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra. In the thirty-eighth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra. In the thirty-ninth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra. In the fortieth O2- site, O2- is bonded to two equivalent Y3+ and two equivalent Zr4+ atoms to form a mixture of distorted corner and edge-sharing OY2Zr2 tetrahedra. In the forty-first O2- site, O2- is bonded to two equivalent Y3+ and two equivalent Zr4+ atoms to form OY2Zr2 tetrahedra that share corners with twelve OZr4 tetrahedra and edges with six OY4 tetrahedra. In the forty-second O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra. In the forty-third O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra. In the forty-fourth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra. In the forty-fifth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra. In the forty-sixth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra. In the forty-seventh O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra. In the forty-eighth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra. In the forty-ninth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra. In the fiftieth O2- site, O2- is bonded to four Y3+ atoms to form a mixture of corner and edge-sharing OY4 tetrahedra. In the fifty-first O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra.
Ta26C25Ta9C8TaBC(B)2BC1 crystallizes in the triclinic P1 space group. The structure is two-dimensional and consists of two boron molecules; one BC1 sheet oriented in the (0, 0, 1) direction; one Ta26C25 sheet oriented in the (0, 0, 1) direction; one Ta9C8 sheet oriented in the (0, 0, 1) direction; and one TaBC sheet oriented in the (0, 0, 1) direction. In the BC1 sheet, B3+ is bonded in a trigonal planar geometry to three equivalent C4- atoms. All B–C bond lengths are 1.83 Å. C4- is bonded in a distorted trigonal planar geometry to three equivalent B3+ atoms. In the Ta26C25 sheet, there are eighteen inequivalent Ta+3.56+ sites. In the first Ta+3.56+ site, Ta+3.56+ is bonded in a 3-coordinate geometry to three equivalent C4- atoms. There are one shorter (2.14 Å) and two longer (2.15 Å) Ta–C bond lengths. In the second Ta+3.56+ site, Ta+3.56+ is bonded to six C4- atoms to form a mixture of corner and edge-sharing TaC6 octahedra. The corner-sharing octahedral tilt angles are 1°. All Ta–C bond lengths are 2.23 Å. In the third Ta+3.56+ site, Ta+3.56+ is bonded to six C4- atoms to form a mixture of corner and edge-sharing TaC6 octahedra. The corner-sharing octahedral tilt angles are 1°. There are five shorter (2.25 Å) and one longer (2.26 Å) Ta–C bond lengths. In the fourth Ta+3.56+ site, Ta+3.56+ is bonded to six C4- atoms to form a mixture of corner and edge-sharing TaC6 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. All Ta–C bond lengths are 2.25 Å. In the fifth Ta+3.56+ site, Ta+3.56+ is bonded to six C4- atoms to form a mixture of corner and edge-sharing TaC6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are three shorter (2.24 Å) and three longer (2.26 Å) Ta–C bond lengths. In the sixth Ta+3.56+ site, Ta+3.56+ is bonded to six C4- atoms to form a mixture of corner and edge-sharing TaC6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are three shorter (2.24 Å) and three longer (2.25 Å) Ta–C bond lengths. In the seventh Ta+3.56+ site, Ta+3.56+ is bonded to six C4- atoms to form a mixture of corner and edge-sharing TaC6 octahedra. The corner-sharing octahedral tilt angles are 0°. All Ta–C bond lengths are 2.24 Å. In the eighth Ta+3.56+ site, Ta+3.56+ is bonded to six C4- atoms to form a mixture of corner and edge-sharing TaC6 octahedra. The corner-sharing octahedral tilt angles are 0°. All Ta–C bond lengths are 2.24 Å. In the ninth Ta+3.56+ site, Ta+3.56+ is bonded to six C4- atoms to form a mixture of corner and edge-sharing TaC6 octahedra. The corner-sharing octahedral tilt angles are 0°. All Ta–C bond lengths are 2.24 Å. In the tenth Ta+3.56+ site, Ta+3.56+ is bonded to six equivalent C4- atoms to form a mixture of corner and edge-sharing TaC6 octahedra. The corner-sharing octahedral tilt angles are 0°. All Ta–C bond lengths are 2.24 Å. In the eleventh Ta+3.56+ site, Ta+3.56+ is bonded to six equivalent C4- atoms to form a mixture of corner and edge-sharing TaC6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are three shorter (2.23 Å) and three longer (2.24 Å) Ta–C bond lengths. In the twelfth Ta+3.56+ site, Ta+3.56+ is bonded to six equivalent C4- atoms to form a mixture of corner and edge-sharing TaC6 octahedra. The corner-sharing octahedral tilt angles are 0°. All Ta–C bond lengths are 2.23 Å. In the thirteenth Ta+3.56+ site, Ta+3.56+ is bonded to six C4- atoms to form a mixture of corner and edge-sharing TaC6 octahedra. The corner-sharing octahedral tilt angles are 0°. All Ta–C bond lengths are 2.23 Å. In the fourteenth Ta+3.56+ site, Ta+3.56+ is bonded to six C4- atoms to form a mixture of corner and edge-sharing TaC6 octahedra. The corner-sharing octahedral tilt angles are 0°. All Ta–C bond lengths are 2.23 Å. In the fifteenth Ta+3.56+ site, Ta+3.56+ is bonded to six C4- atoms to form a mixture of corner and edge-sharing TaC6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are three shorter (2.23 Å) and three longer (2.24 Å) Ta–C bond lengths. In the sixteenth Ta+3.56+ site, Ta+3.56+ is bonded to six C4- atoms to form a mixture of corner and edge-sharing TaC6 octahedra. The corner-sharing octahedral tilt angles are 0°. All Ta–C bond lengths are 2.23 Å. In the seventeenth Ta+3.56+ site, Ta+3.56+ is bonded to six C4- atoms to form a mixture of corner and edge-sharing TaC6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are four shorter (2.23 Å) and two longer (2.24 Å) Ta–C bond lengths. In the eighteenth Ta+3.56+ site, Ta+3.56+ is bonded in a distorted T-shaped geometry to three equivalent C4- atoms. All Ta–C bond lengths are 2.25 Å. There are fifteen inequivalent C4- sites. In the first C4- site, C4- is bonded to six Ta+3.56+ atoms to form a mixture of corner and edge-sharing CTa6 octahedra. The corner-sharing octahedral tilt angles are 0°. In the second C4- site, C4- is bonded to six Ta+3.56+ atoms to form a mixture of corner and edge-sharing CTa6 octahedra. The corner-sharing octahedral tilt angles are 0°. In the third C4- site, C4- is bonded to six Ta+3.56+ atoms to form a mixture of corner and edge-sharing CTa6 octahedra. The corner-sharing octahedral tilt angles are 0°. In the fourth C4- site, C4- is bonded to six Ta+3.56+ atoms to form a mixture of corner and edge-sharing CTa6 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. In the fifth C4- site, C4- is bonded to six Ta+3.56+ atoms to form a mixture of corner and edge-sharing CTa6 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. In the sixth C4- site, C4- is bonded to six Ta+3.56+ atoms to form a mixture of corner and edge-sharing CTa6 octahedra. The corner-sharing octahedral tilt angles are 0°. In the seventh C4- site, C4- is bonded to six Ta+3.56+ atoms to form a mixture of corner and edge-sharing CTa6 octahedra. The corner-sharing octahedral tilt angles are 0°. In the eighth C4- site, C4- is bonded to six Ta+3.56+ atoms to form a mixture of corner and edge-sharing CTa6 octahedra. The corner-sharing octahedral tilt angles are 0°. In the ninth C4- site, C4- is bonded to six Ta+3.56+ atoms to form a mixture of corner and edge-sharing CTa6 octahedra. The corner-sharing octahedral tilt angles are 0°. In the tenth C4- site, C4- is bonded to six equivalent Ta+3.56+ atoms to form a mixture of corner and edge-sharing CTa6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are three shorter (2.23 Å) and three longer (2.24 Å) C–Ta bond lengths. In the eleventh C4- site, C4- is bonded to six Ta+3.56+ atoms to form a mixture of corner and edge-sharing CTa6 octahedra. The corner-sharing octahedral tilt angles are 0°. In the twelfth C4- site, C4- is bonded to six Ta+3.56+ atoms to form a mixture of corner and edge-sharing CTa6 octahedra. The corner-sharing octahedral tilt angles are 0°. In the thirteenth C4- site, C4- is bonded to six Ta+3.56+ atoms to form a mixture of corner and edge-sharing CTa6 octahedra. The corner-sharing octahedral tilt angles are 0°. In the fourteenth C4- site, C4- is bonded to six Ta+3.56+ atoms to form a mixture of corner and edge-sharing CTa6 octahedra. The corner-sharing octahedral tilt angles are 0°. In the fifteenth C4- site, C4- is bonded to six Ta+3.56+ atoms to form a mixture of corner and edge-sharing CTa6 octahedra. The corner-sharing octahedral tilt angles are 0°. All C–Ta bond lengths are 2.25 Å. In the Ta9C8 sheet, there are nine inequivalent Ta+3.56+ sites. In the first Ta+3.56+ site, Ta+3.56+ is bonded to six C4- atoms to form a mixture of corner and edge-sharing TaC6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are five shorter (2.24 Å) and one longer (2.25 Å) Ta–C bond lengths. In the second Ta+3.56+ site, Ta+3.56+ is bonded to six C4- atoms to form a mixture of corner and edge-sharing TaC6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are a spread of Ta–C bond distances ranging from 2.23–2.26 Å. In the third Ta+3.56+ site, Ta+3.56+ is bonded in a distorted T-shaped geometry to three equivalent C4- atoms. All Ta–C bond lengths are 2.26 Å. In the fourth Ta+3.56+ site, Ta+3.56+ is bonded to six C4- atoms to form a mixture of corner and edge-sharing TaC6 octahedra. The corner-sharing octahedral tilt angles are 0°. In the fifth Ta+3.56+ site, Ta+3.56+ is bonded in a distorted T-shaped geometry to three equivalent C4- atoms. In the sixth Ta+3.56+ site, Ta+3.56+ is bonded to six C4- atoms to form a mixture of corner and edge-sharing TaC6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are three shorter (2.23 Å) and three longer (2.24 Å) Ta–C bond lengths. In the seventh Ta+3.56+ site, Ta+3.56+ is bonded to six C4- atoms to form a mixture of corner and edge-sharing TaC6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are two shorter (2.23 Å) and four longer (2.24 Å) Ta–C bond lengths. In the eighth Ta+3.56+ site, Ta+3.56+ is bonded to six C4- atoms to form a mixture of corner and edge-sharing TaC6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are four shorter (2.24 Å) and two longer (2.25 Å) Ta–C bond lengths. In the ninth Ta+3.56+ site, Ta+3.56+ is bonded to six C4- atoms to form a mixture of corner and edge-sharing TaC6 octahedra. The corner-sharing octahedral tilt angles are 0°. All Ta–C bond lengths are 2.24 Å. There are eight inequivalent C4- sites. In the first C4- site, C4- is bonded to six Ta+3.56+ atoms to form a mixture of corner and edge-sharing CTa6 octahedra. The corner-sharing octahedral tilt angles are 0°. In the second C4- site, C4- is bonded to six Ta+3.56+ atoms to form a mixture of corner and edge-sharing CTa6 octahedra. The corner-sharing octahedral tilt angles are 0°. In the third C4- site, C4- is bonded to six Ta+3.56+ atoms to form a mixture of corner and edge-sharing CTa6 octahedra. The corner-sharing octahedral tilt angles are 0°. All C–Ta bond lengths are 2.24 Å. In the fourth C4- site, C4- is bonded to six Ta+3.56+ atoms to form a mixture of corner and edge-sharing CTa6 octahedra. The corner-sharing octahedral tilt angles are 0°. All C–Ta bond lengths are 2.24 Å. In the fifth C4- site, C4- is bonded to six Ta+3.56+ atoms to form a mixture of corner and edge-sharing CTa6 octahedra. The corner-sharing octahedral tilt angles are 0°. In the sixth C4- site, C4- is bonded to six Ta+3.56+ atoms to form a mixture of corner and edge-sharing CTa6 octahedra. The corner-sharing octahedral tilt angles are 0°. In the seventh C4- site, C4- is bonded to six Ta+3.56+ atoms to form a mixture of corner and edge-sharing CTa6 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. In the eighth C4- site, C4- is bonded to six Ta+3.56+ atoms to form a mixture of corner and edge-sharing CTa6 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. In the TaBC sheet, Ta+3.56+ is bonded in a single-bond geometry to one C4- atom. The Ta–C bond length is 2.08 Å. B3+ is bonded in a trigonal planar geometry to three equivalent C4- atoms. There are a spread of B–C bond distances ranging from 1.81–1.85 Å. C4- is bonded to one Ta+3.56+ and three equivalent B3+ atoms to form corner-sharing CTaB3 trigonal pyramids.
Cr2O3 is Corundum-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are sixteen inequivalent Cr3+ sites. In the first Cr3+ site, Cr3+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing CrO6 octahedra. The corner-sharing octahedra tilt angles range from 52–53°. There are five shorter (2.03 Å) and one longer (2.04 Å) Cr–O bond lengths. In the second Cr3+ site, Cr3+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing CrO6 octahedra. The corner-sharing octahedra tilt angles range from 52–54°. There are three shorter (2.03 Å) and three longer (2.04 Å) Cr–O bond lengths. In the third Cr3+ site, Cr3+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing CrO6 octahedra. The corner-sharing octahedral tilt angles are 53°. There are four shorter (2.03 Å) and two longer (2.04 Å) Cr–O bond lengths. In the fourth Cr3+ site, Cr3+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing CrO6 octahedra. The corner-sharing octahedral tilt angles are 53°. All Cr–O bond lengths are 2.03 Å. In the fifth Cr3+ site, Cr3+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing CrO6 octahedra. The corner-sharing octahedra tilt angles range from 53–54°. There are a spread of Cr–O bond distances ranging from 1.99–2.07 Å. In the sixth Cr3+ site, Cr3+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing CrO6 octahedra. The corner-sharing octahedra tilt angles range from 52–54°. There are a spread of Cr–O bond distances ranging from 1.99–2.06 Å. In the seventh Cr3+ site, Cr3+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing CrO6 octahedra. The corner-sharing octahedra tilt angles range from 53–54°. There are a spread of Cr–O bond distances ranging from 1.99–2.06 Å. In the eighth Cr3+ site, Cr3+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing CrO6 octahedra. The corner-sharing octahedra tilt angles range from 53–54°. There are a spread of Cr–O bond distances ranging from 1.99–2.06 Å. In the ninth Cr3+ site, Cr3+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing CrO6 octahedra. The corner-sharing octahedra tilt angles range from 53–54°. There are a spread of Cr–O bond distances ranging from 1.99–2.06 Å. In the tenth Cr3+ site, Cr3+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing CrO6 octahedra. The corner-sharing octahedra tilt angles range from 53–54°. There are a spread of Cr–O bond distances ranging from 1.99–2.06 Å. In the eleventh Cr3+ site, Cr3+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing CrO6 octahedra. The corner-sharing octahedra tilt angles range from 53–54°. There are a spread of Cr–O bond distances ranging from 1.99–2.06 Å. In the twelfth Cr3+ site, Cr3+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing CrO6 octahedra. The corner-sharing octahedra tilt angles range from 53–54°. There are a spread of Cr–O bond distances ranging from 1.99–2.06 Å. In the thirteenth Cr3+ site, Cr3+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing CrO6 octahedra. The corner-sharing octahedra tilt angles range from 52–54°. There are a spread of Cr–O bond distances ranging from 1.99–2.07 Å. In the fourteenth Cr3+ site, Cr3+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing CrO6 octahedra. The corner-sharing octahedra tilt angles range from 53–54°. There are a spread of Cr–O bond distances ranging from 1.99–2.06 Å. In the fifteenth Cr3+ site, Cr3+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing CrO6 octahedra. The corner-sharing octahedra tilt angles range from 53–54°. There are a spread of Cr–O bond distances ranging from 1.99–2.07 Å. In the sixteenth Cr3+ site, Cr3+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing CrO6 octahedra. The corner-sharing octahedra tilt angles range from 53–54°. There are a spread of Cr–O bond distances ranging from 1.98–2.06 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded to four Cr3+ atoms to form a mixture of distorted edge and corner-sharing OCr4 trigonal pyramids. In the second O2- site, O2- is bonded to four Cr3+ atoms to form a mixture of distorted edge and corner-sharing OCr4 trigonal pyramids. In the third O2- site, O2- is bonded to four Cr3+ atoms to form a mixture of distorted edge and corner-sharing OCr4 trigonal pyramids. In the fourth O2- site, O2- is bonded to four Cr3+ atoms to form a mixture of distorted edge and corner-sharing OCr4 trigonal pyramids. In the fifth O2- site, O2- is bonded to four Cr3+ atoms to form a mixture of distorted edge and corner-sharing OCr4 trigonal pyramids. In the sixth O2- site, O2- is bonded to four Cr3+ atoms to form a mixture of distorted edge and corner-sharing OCr4 trigonal pyramids. In the seventh O2- site, O2- is bonded to four Cr3+ atoms to form a mixture of distorted edge and corner-sharing OCr4 trigonal pyramids. In the eighth O2- site, O2- is bonded to four Cr3+ atoms to form a mixture of distorted edge and corner-sharing OCr4 trigonal pyramids. In the ninth O2- site, O2- is bonded to four Cr3+ atoms to form a mixture of distorted edge and corner-sharing OCr4 trigonal pyramids. In the tenth O2- site, O2- is bonded to four Cr3+ atoms to form a mixture of distorted edge and corner-sharing OCr4 trigonal pyramids. In the eleventh O2- site, O2- is bonded to four Cr3+ atoms to form a mixture of edge and corner-sharing OCr4 trigonal pyramids. In the twelfth O2- site, O2- is bonded to four Cr3+ atoms to form a mixture of distorted edge and corner-sharing OCr4 trigonal pyramids. In the thirteenth O2- site, O2- is bonded to four Cr3+ atoms to form a mixture of distorted edge and corner-sharing OCr4 trigonal pyramids. In the fourteenth O2- site, O2- is bonded to four Cr3+ atoms to form a mixture of distorted edge and corner-sharing OCr4 trigonal pyramids. In the fifteenth O2- site, O2- is bonded to four Cr3+ atoms to form a mixture of distorted edge and corner-sharing OCr4 trigonal pyramids. In the sixteenth O2- site, O2- is bonded to four Cr3+ atoms to form a mixture of distorted edge and corner-sharing OCr4 trigonal pyramids. In the seventeenth O2- site, O2- is bonded to four Cr3+ atoms to form a mixture of distorted edge and corner-sharing OCr4 trigonal pyramids. In the eighteenth O2- site, O2- is bonded to four Cr3+ atoms to form a mixture of distorted edge and corner-sharing OCr4 trigonal pyramids. In the nineteenth O2- site, O2- is bonded to four Cr3+ atoms to form a mixture of distorted edge and corner-sharing OCr4 trigonal pyramids. In the twentieth O2- site, O2- is bonded to four Cr3+ atoms to form a mixture of distorted edge and corner-sharing OCr4 trigonal pyramids. In the twenty-first O2- site, O2- is bonded to four Cr3+ atoms to form a mixture of distorted edge and corner-sharing OCr4 trigonal pyramids. In the twenty-second O2- site, O2- is bonded to four Cr3+ atoms to form a mixture of distorted edge and corner-sharing OCr4 trigonal pyramids. In the twenty-third O2- site, O2- is bonded to four Cr3+ atoms to form a mixture of distorted edge and corner-sharing OCr4 trigonal pyramids. In the twenty-fourth O2- site, O2- is bonded to four Cr3+ atoms to form a mixture of distorted edge and corner-sharing OCr4 trigonal pyramids.
Ti19O30 is beta indium sulfide-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are nineteen inequivalent Ti+3.16+ sites. In the first Ti+3.16+ site, Ti+3.16+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 31–57°. There are a spread of Ti–O bond distances ranging from 1.91–2.11 Å. In the second Ti+3.16+ site, Ti+3.16+ is bonded to six O2- atoms to form a mixture of corner, edge, and face-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 31–61°. There are a spread of Ti–O bond distances ranging from 1.92–2.15 Å. In the third Ti+3.16+ site, Ti+3.16+ is bonded to six O2- atoms to form a mixture of corner, edge, and face-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–58°. There are a spread of Ti–O bond distances ranging from 2.01–2.08 Å. In the fourth Ti+3.16+ site, Ti+3.16+ is bonded to six O2- atoms to form a mixture of corner, edge, and face-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–57°. There are three shorter (2.02 Å) and three longer (2.08 Å) Ti–O bond lengths. In the fifth Ti+3.16+ site, Ti+3.16+ is bonded to six O2- atoms to form a mixture of corner, edge, and face-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–57°. There are a spread of Ti–O bond distances ranging from 2.01–2.09 Å. In the sixth Ti+3.16+ site, Ti+3.16+ is bonded to six O2- atoms to form a mixture of corner, edge, and face-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 46–58°. There are a spread of Ti–O bond distances ranging from 1.99–2.11 Å. In the seventh Ti+3.16+ site, Ti+3.16+ is bonded to six O2- atoms to form a mixture of corner, edge, and face-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 43–58°. There are a spread of Ti–O bond distances ranging from 1.99–2.09 Å. In the eighth Ti+3.16+ site, Ti+3.16+ is bonded to six O2- atoms to form a mixture of corner, edge, and face-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–61°. There are a spread of Ti–O bond distances ranging from 1.93–2.12 Å. In the ninth Ti+3.16+ site, Ti+3.16+ is bonded to six O2- atoms to form a mixture of corner, edge, and face-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 45–57°. There are a spread of Ti–O bond distances ranging from 2.01–2.09 Å. In the tenth Ti+3.16+ site, Ti+3.16+ is bonded to six O2- atoms to form a mixture of corner, edge, and face-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 30–60°. There are a spread of Ti–O bond distances ranging from 1.87–2.16 Å. In the eleventh Ti+3.16+ site, Ti+3.16+ is bonded to six O2- atoms to form a mixture of corner, edge, and face-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–57°. There are a spread of Ti–O bond distances ranging from 2.02–2.09 Å. In the twelfth Ti+3.16+ site, Ti+3.16+ is bonded to six O2- atoms to form a mixture of corner, edge, and face-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 44–58°. There are a spread of Ti–O bond distances ranging from 2.01–2.09 Å. In the thirteenth Ti+3.16+ site, Ti+3.16+ is bonded to six O2- atoms to form a mixture of corner, edge, and face-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 45–58°. There are a spread of Ti–O bond distances ranging from 2.00–2.09 Å. In the fourteenth Ti+3.16+ site, Ti+3.16+ is bonded to six O2- atoms to form a mixture of corner, edge, and face-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–57°. There are a spread of Ti–O bond distances ranging from 2.02–2.09 Å. In the fifteenth Ti+3.16+ site, Ti+3.16+ is bonded to six O2- atoms to form a mixture of corner, edge, and face-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 45–58°. There are a spread of Ti–O bond distances ranging from 2.00–2.11 Å. In the sixteenth Ti+3.16+ site, Ti+3.16+ is bonded to six O2- atoms to form a mixture of corner, edge, and face-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–57°. There are a spread of Ti–O bond distances ranging from 2.02–2.09 Å. In the seventeenth Ti+3.16+ site, Ti+3.16+ is bonded to six O2- atoms to form a mixture of corner, edge, and face-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 44–60°. There are a spread of Ti–O bond distances ranging from 2.01–2.09 Å. In the eighteenth Ti+3.16+ site, Ti+3.16+ is bonded to six O2- atoms to form a mixture of corner, edge, and face-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–60°. There are a spread of Ti–O bond distances ranging from 1.94–2.13 Å. In the nineteenth Ti+3.16+ site, Ti+3.16+ is bonded to six O2- atoms to form a mixture of corner, edge, and face-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 30–60°. There are a spread of Ti–O bond distances ranging from 1.93–2.20 Å. There are thirty inequivalent O2- sites. In the first O2- site, O2- is bonded to four Ti+3.16+ atoms to form a mixture of distorted corner and edge-sharing OTi4 trigonal pyramids. In the second O2- site, O2- is bonded in a 3-coordinate geometry to three Ti+3.16+ atoms. In the third O2- site, O2- is bonded in a T-shaped geometry to three Ti+3.16+ atoms. In the fourth O2- site, O2- is bonded to four Ti+3.16+ atoms to form a mixture of distorted corner and edge-sharing OTi4 trigonal pyramids. In the fifth O2- site, O2- is bonded to four Ti+3.16+ atoms to form a mixture of distorted corner and edge-sharing OTi4 trigonal pyramids. In the sixth O2- site, O2- is bonded to four Ti+3.16+ atoms to form a mixture of distorted corner and edge-sharing OTi4 trigonal pyramids. In the seventh O2- site, O2- is bonded to four Ti+3.16+ atoms to form a mixture of distorted corner and edge-sharing OTi4 trigonal pyramids. In the eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.16+ atoms. In the ninth O2- site, O2- is bonded to four Ti+3.16+ atoms to form a mixture of distorted corner and edge-sharing OTi4 trigonal pyramids. In the tenth O2- site, O2- is bonded to four Ti+3.16+ atoms to form a mixture of distorted corner and edge-sharing OTi4 trigonal pyramids. In the eleventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Ti+3.16+ atoms. In the twelfth O2- site, O2- is bonded to four Ti+3.16+ atoms to form a mixture of distorted corner and edge-sharing OTi4 trigonal pyramids. In the thirteenth O2- site, O2- is bonded to four Ti+3.16+ atoms to form a mixture of distorted corner and edge-sharing OTi4 trigonal pyramids. In the fourteenth O2- site, O2- is bonded to four Ti+3.16+ atoms to form a mixture of distorted corner and edge-sharing OTi4 trigonal pyramids. In the fifteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.16+ atoms. In the sixteenth O2- site, O2- is bonded to four Ti+3.16+ atoms to form a mixture of distorted corner and edge-sharing OTi4 trigonal pyramids. In the seventeenth O2- site, O2- is bonded to four Ti+3.16+ atoms to form a mixture of distorted corner and edge-sharing OTi4 trigonal pyramids. In the eighteenth O2- site, O2- is bonded in a T-shaped geometry to three Ti+3.16+ atoms. In the nineteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Ti+3.16+ atoms. In the twentieth O2- site, O2- is bonded to four Ti+3.16+ atoms to form a mixture of distorted corner and edge-sharing OTi4 trigonal pyramids. In the twenty-first O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Ti+3.16+ atoms. In the twenty-second O2- site, O2- is bonded to four Ti+3.16+ atoms to form a mixture of distorted corner and edge-sharing OTi4 trigonal pyramids. In the twenty-third O2- site, O2- is bonded in a T-shaped geometry to three Ti+3.16+ atoms. In the twenty-fourth O2- site, O2- is bonded to four Ti+3.16+ atoms to form a mixture of distorted corner and edge-sharing OTi4 trigonal pyramids. In the twenty-fifth O2- site, O2- is bonded to four Ti+3.16+ atoms to form a mixture of distorted corner and edge-sharing OTi4 trigonal pyramids. In the twenty-sixth O2- site, O2- is bonded to four Ti+3.16+ atoms to form a mixture of distorted corner and edge-sharing OTi4 trigonal pyramids. In the twenty-seventh O2- site, O2- is bonded to four Ti+3.16+ atoms to form a mixture of distorted corner and edge-sharing OTi4 trigonal pyramids. In the twenty-eighth O2- site, O2- is bonded to four Ti+3.16+ atoms to form a mixture of distorted corner and edge-sharing OTi4 trigonal pyramids. In the twenty-ninth O2- site, O2- is bonded in a 4-coordinate geometry to four Ti+3.16+ atoms. In the thirtieth O2- site, O2- is bonded to four Ti+3.16+ atoms to form a mixture of distorted corner and edge-sharing OTi4 trigonal pyramids.
Fe35O36 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are thirty-five inequivalent Fe+2.06+ sites. In the first Fe+2.06+ site, Fe+2.06+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 2–10°. There are a spread of Fe–O bond distances ranging from 2.11–2.33 Å. In the second Fe+2.06+ site, Fe+2.06+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 3–8°. There are a spread of Fe–O bond distances ranging from 2.13–2.32 Å. In the third Fe+2.06+ site, Fe+2.06+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 2–7°. There are a spread of Fe–O bond distances ranging from 2.13–2.27 Å. In the fourth Fe+2.06+ site, Fe+2.06+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 2–7°. There are a spread of Fe–O bond distances ranging from 2.12–2.24 Å. In the fifth Fe+2.06+ site, Fe+2.06+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 4–11°. There are a spread of Fe–O bond distances ranging from 2.11–2.31 Å. In the sixth Fe+2.06+ site, Fe+2.06+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 1–17°. There are a spread of Fe–O bond distances ranging from 2.10–2.24 Å. In the seventh Fe+2.06+ site, Fe+2.06+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 2–10°. There are a spread of Fe–O bond distances ranging from 2.09–2.30 Å. In the eighth Fe+2.06+ site, Fe+2.06+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 2–4°. There are a spread of Fe–O bond distances ranging from 2.03–2.20 Å. In the ninth Fe+2.06+ site, Fe+2.06+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 1–10°. There are a spread of Fe–O bond distances ranging from 2.12–2.22 Å. In the tenth Fe+2.06+ site, Fe+2.06+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 3–17°. There are a spread of Fe–O bond distances ranging from 2.08–2.33 Å. In the eleventh Fe+2.06+ site, Fe+2.06+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 2–9°. There are a spread of Fe–O bond distances ranging from 2.12–2.27 Å. In the twelfth Fe+2.06+ site, Fe+2.06+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 3–9°. There are a spread of Fe–O bond distances ranging from 2.12–2.25 Å. In the thirteenth Fe+2.06+ site, Fe+2.06+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 2–10°. There are a spread of Fe–O bond distances ranging from 2.07–2.26 Å. In the fourteenth Fe+2.06+ site, Fe+2.06+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 1–5°. There are a spread of Fe–O bond distances ranging from 2.04–2.08 Å. In the fifteenth Fe+2.06+ site, Fe+2.06+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 1–7°. There are a spread of Fe–O bond distances ranging from 2.14–2.20 Å. In the sixteenth Fe+2.06+ site, Fe+2.06+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 4–13°. There are a spread of Fe–O bond distances ranging from 2.07–2.30 Å. In the seventeenth Fe+2.06+ site, Fe+2.06+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 1–8°. There are a spread of Fe–O bond distances ranging from 2.07–2.31 Å. In the eighteenth Fe+2.06+ site, Fe+2.06+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 5–11°. There are a spread of Fe–O bond distances ranging from 2.09–2.25 Å. In the nineteenth Fe+2.06+ site, Fe+2.06+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 3–9°. There are a spread of Fe–O bond distances ranging from 2.10–2.31 Å. In the twentieth Fe+2.06+ site, Fe+2.06+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 2–12°. There are a spread of Fe–O bond distances ranging from 2.09–2.26 Å. In the twenty-first Fe+2.06+ site, Fe+2.06+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 1–6°. There are a spread of Fe–O bond distances ranging from 2.03–2.13 Å. In the twenty-second Fe+2.06+ site, Fe+2.06+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 7–12°. There are a spread of Fe–O bond distances ranging from 2.08–2.27 Å. In the twenty-third Fe+2.06+ site, Fe+2.06+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 4–14°. There are a spread of Fe–O bond distances ranging from 2.12–2.32 Å. In the twenty-fourth Fe+2.06+ site, Fe+2.06+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 3–8°. There are a spread of Fe–O bond distances ranging from 2.07–2.24 Å. In the twenty-fifth Fe+2.06+ site, Fe+2.06+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 1–13°. There are a spread of Fe–O bond distances ranging from 2.10–2.32 Å. In the twenty-sixth Fe+2.06+ site, Fe+2.06+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 2–10°. There are a spread of Fe–O bond distances ranging from 2.13–2.22 Å. In the twenty-seventh Fe+2.06+ site, Fe+2.06+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 1–6°. There are a spread of Fe–O bond distances ranging from 2.10–2.37 Å. In the twenty-eighth Fe+2.06+ site, Fe+2.06+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 2–9°. There are a spread of Fe–O bond distances ranging from 2.13–2.24 Å. In the twenty-ninth Fe+2.06+ site, Fe+2.06+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 2–9°. There are a spread of Fe–O bond distances ranging from 2.15–2.27 Å. In the thirtieth Fe+2.06+ site, Fe+2.06+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 2–4°. There are a spread of Fe–O bond distances ranging from 2.12–2.24 Å. In the thirty-first Fe+2.06+ site, Fe+2.06+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 3–14°. There are a spread of Fe–O bond distances ranging from 2.09–2.25 Å. In the thirty-second Fe+2.06+ site, Fe+2.06+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 1–4°. There are a spread of Fe–O bond distances ranging from 2.12–2.29 Å. In the thirty-third Fe+2.06+ site, Fe+2.06+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 2–10°. There are a spread of Fe–O bond distances ranging from 2.15–2.24 Å. In the thirty-fourth Fe+2.06+ site, Fe+2.06+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 1–10°. There are a spread of Fe–O bond distances ranging from 2.08–2.32 Å. In the thirty-fifth Fe+2.06+ site, Fe+2.06+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 1–11°. There are a spread of Fe–O bond distances ranging from 2.09–2.33 Å. There are thirty-six inequivalent O2- sites. In the first O2- site, O2- is bonded to six Fe+2.06+ atoms to form OFe6 octahedra that share corners with six OFe6 octahedra, edges with nine OFe6 octahedra, and edges with three OFe5 square pyramids. The corner-sharing octahedra tilt angles range from 1–12°. In the second O2- site, O2- is bonded to six Fe+2.06+ atoms to form OFe6 octahedra that share corners with five OFe6 octahedra, a cornercorner with one OFe5 square pyramid, edges with eleven OFe6 octahedra, and an edgeedge with one OFe5 square pyramid. The corner-sharing octahedra tilt angles range from 2–5°. In the third O2- site, O2- is bonded to six Fe+2.06+ atoms to form OFe6 octahedra that share corners with six OFe6 octahedra, edges with nine OFe6 octahedra, and edges with three OFe5 square pyramids. The corner-sharing octahedra tilt angles range from 4–9°. In the fourth O2- site, O2- is bonded to six Fe+2.06+ atoms to form OFe6 octahedra that share corners with five OFe6 octahedra, a cornercorner with one OFe5 square pyramid, edges with eleven OFe6 octahedra, and an edgeedge with one OFe5 square pyramid. The corner-sharing octahedra tilt angles range from 1–7°. In the fifth O2- site, O2- is bonded to six Fe+2.06+ atoms to form OFe6 octahedra that share corners with four OFe6 octahedra, corners with two OFe5 square pyramids, edges with ten OFe6 octahedra, and edges with two OFe5 square pyramids. The corner-sharing octahedra tilt angles range from 2–7°. In the sixth O2- site, O2- is bonded to five Fe+2.06+ atoms to form OFe5 square pyramids that share corners with five OFe6 octahedra, corners with four OFe5 square pyramids, and edges with eight OFe6 octahedra. The corner-sharing octahedra tilt angles range from 1–12°. In the seventh O2- site, O2- is bonded to five Fe+2.06+ atoms to form OFe5 square pyramids that share corners with five OFe6 octahedra, corners with four OFe5 square pyramids, and edges with eight OFe6 octahedra. The corner-sharing octahedra tilt angles range from 1–10°. In the eighth O2- site, O2- is bonded to six Fe+2.06+ atoms to form OFe6 octahedra that share corners with five OFe6 octahedra, a cornercorner with one OFe5 square pyramid, edges with eleven OFe6 octahedra, and an edgeedge with one OFe5 square pyramid. The corner-sharing octahedra tilt angles range from 2–4°. In the ninth O2- site, O2- is bonded to six Fe+2.06+ atoms to form OFe6 octahedra that share corners with four OFe6 octahedra, corners with two OFe5 square pyramids, edges with eleven OFe6 octahedra, and an edgeedge with one OFe5 square pyramid. The corner-sharing octahedra tilt angles range from 1–4°. In the tenth O2- site, O2- is bonded to six Fe+2.06+ atoms to form OFe6 octahedra that share corners with five OFe6 octahedra, a cornercorner with one OFe5 square pyramid, edges with eleven OFe6 octahedra, and an edgeedge with one OFe5 square pyramid.
MgTi23O40 crystallizes in the triclinic P1 space group. The structure is three-dimensional. Mg2+ is bonded to six O2- atoms to form distorted MgO6 octahedra that share corners with two TiO6 octahedra and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 23–27°. There are a spread of Mg–O bond distances ranging from 2.01–2.17 Å. There are twenty-three inequivalent Ti+3.39+ sites. In the first Ti+3.39+ site, Ti+3.39+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with four TiO6 octahedra, an edgeedge with one MgO6 octahedra, and edges with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 21–52°. There are a spread of Ti–O bond distances ranging from 1.92–2.22 Å. In the second Ti+3.39+ site, Ti+3.39+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with four TiO6 octahedra, an edgeedge with one MgO6 octahedra, and edges with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 20–51°. There are a spread of Ti–O bond distances ranging from 1.92–2.22 Å. In the third Ti+3.39+ site, Ti+3.39+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ti–O bond distances ranging from 1.95–2.17 Å. In the fourth Ti+3.39+ site, Ti+3.39+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 23–55°. There are a spread of Ti–O bond distances ranging from 1.92–2.19 Å. In the fifth Ti+3.39+ site, Ti+3.39+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with four TiO6 octahedra, an edgeedge with one MgO6 octahedra, and edges with five TiO6 octahedra. The corner-sharing octahedra tilt angles range from 26–54°. There are a spread of Ti–O bond distances ranging from 1.92–2.16 Å. In the sixth Ti+3.39+ site, Ti+3.39+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 31–54°. There are a spread of Ti–O bond distances ranging from 1.94–2.21 Å. In the seventh Ti+3.39+ site, Ti+3.39+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share a cornercorner with one MgO6 octahedra, corners with three TiO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 27–55°. There are a spread of Ti–O bond distances ranging from 1.84–2.21 Å. In the eighth Ti+3.39+ site, Ti+3.39+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share a cornercorner with one MgO6 octahedra, corners with three TiO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 23–55°. There are a spread of Ti–O bond distances ranging from 1.86–2.24 Å. In the ninth Ti+3.39+ site, Ti+3.39+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 31–54°. There are a spread of Ti–O bond distances ranging from 1.94–2.20 Å. In the tenth Ti+3.39+ site, Ti+3.39+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 20–40°. There are a spread of Ti–O bond distances ranging from 1.93–2.15 Å. In the eleventh Ti+3.39+ site, Ti+3.39+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 21–40°. There are a spread of Ti–O bond distances ranging from 1.93–2.17 Å. In the twelfth Ti+3.39+ site, Ti+3.39+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 21–40°. There are a spread of Ti–O bond distances ranging from 1.94–2.17 Å. In the thirteenth Ti+3.39+ site, Ti+3.39+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 20–40°. There are a spread of Ti–O bond distances ranging from 1.93–2.16 Å. In the fourteenth Ti+3.39+ site, Ti+3.39+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with four TiO6 octahedra, an edgeedge with one MgO6 octahedra, and edges with five TiO6 octahedra. The corner-sharing octahedra tilt angles range from 20–56°. There are a spread of Ti–O bond distances ranging from 1.92–2.22 Å. In the fifteenth Ti+3.39+ site, Ti+3.39+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 20–55°. There are a spread of Ti–O bond distances ranging from 1.92–2.18 Å. In the sixteenth Ti+3.39+ site, Ti+3.39+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 25–56°. There are a spread of Ti–O bond distances ranging from 1.89–2.23 Å. In the seventeenth Ti+3.39+ site, Ti+3.39+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 24–55°. There are a spread of Ti–O bond distances ranging from 1.91–2.22 Å. In the eighteenth Ti+3.39+ site, Ti+3.39+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with four TiO6 octahedra, an edgeedge with one MgO6 octahedra, and edges with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 24–52°. There are a spread of Ti–O bond distances ranging from 1.92–2.24 Å. In the nineteenth Ti+3.39+ site, Ti+3.39+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with four TiO6 octahedra, an edgeedge with one MgO6 octahedra, and edges with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 26–51°. There are a spread of Ti–O bond distances ranging from 1.92–2.21 Å. In the twentieth Ti+3.39+ site, Ti+3.39+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 20–40°. There are a spread of Ti–O bond distances ranging from 1.94–2.16 Å. In the twenty-first Ti+3.39+ site, Ti+3.39+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 20–40°. There are a spread of Ti–O bond distances ranging from 1.93–2.17 Å. In the twenty-second Ti+3.39+ site, Ti+3.39+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 21–55°. There are a spread of Ti–O bond distances ranging from 1.92–2.20 Å. In the twenty-third Ti+3.39+ site, Ti+3.39+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 20–54°. There are a spread of Ti–O bond distances ranging from 1.92–2.20 Å. There are forty inequivalent O2- sites. In the first O2- site, O2- is bonded to four Ti+3.39+ atoms to form a mixture of distorted edge and corner-sharing OTi4 trigonal pyramids. In the second O2- site, O2- is bonded to one Mg2+ and three Ti+3.39+ atoms to form a mixture of distorted edge and corner-sharing OMgTi3 trigonal pyramids. In the third O2- site, O2- is bonded to one Mg2+ and three Ti+3.39+ atoms to form a mixture of distorted edge and corner-sharing OMgTi3 trigonal pyramids. In the fourth O2- site, O2- is bonded to one Mg2+ and three Ti+3.39+ atoms to form a mixture of distorted edge and corner-sharing OMgTi3 trigonal pyramids. In the fifth O2- site, O2- is bonded to four Ti+3.39+ atoms to form a mixture of distorted edge and corner-sharing OTi4 trigonal pyramids. In the sixth O2- site, O2- is bonded to four Ti+3.39+ atoms to form a mixture of distorted edge and corner-sharing OTi4 trigonal pyramids. In the seventh O2- site, O2- is bonded in a distorted T-shaped geometry to one Mg2+ and two Ti+3.39+ atoms. In the eighth O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.39+ atoms. In the ninth O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.39+ atoms. In the tenth O2- site, O2- is bonded in a distorted T-shaped geometry to one Mg2+ and two Ti+3.39+ atoms. In the eleventh O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.39+ atoms. In the twelfth O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.39+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.39+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.39+ atoms. In the fifteenth O2- site, O2- is bonded to four Ti+3.39+ atoms to form a mixture of distorted edge and corner-sharing OTi4 trigonal pyramids. In the sixteenth O2- site, O2- is bonded to four Ti+3.39+ atoms to form a mixture of distorted edge and corner-sharing OTi4 trigonal pyramids. In the seventeenth O2- site, O2- is bonded to four Ti+3.39+ atoms to form a mixture of distorted edge and corner-sharing OTi4 trigonal pyramids. In the eighteenth O2- site, O2- is bonded to four Ti+3.39+ atoms to form a mixture of distorted edge and corner-sharing OTi4 trigonal pyramids. In the nineteenth O2- site, O2- is bonded to four Ti+3.39+ atoms to form a mixture of distorted edge and corner-sharing OTi4 trigonal pyramids. In the twentieth O2- site, O2- is bonded to four Ti+3.39+ atoms to form a mixture of distorted edge and corner-sharing OTi4 trigonal pyramids. In the twenty-first O2- site, O2- is bonded in a 4-coordinate geometry to four Ti+3.39+ atoms. In the twenty-second O2- site, O2- is bonded to four Ti+3.39+ atoms to form a mixture of distorted edge and corner-sharing OTi4 trigonal pyramids. In the twenty-third O2- site, O2- is bonded to four Ti+3.39+ atoms to form a mixture of distorted edge and corner-sharing OTi4 trigonal pyramids. In the twenty-fourth O2- site, O2- is bonded to four Ti+3.39+ atoms to form a mixture of distorted edge and corner-sharing OTi4 trigonal pyramids. In the twenty-fifth O2- site, O2- is bonded to four Ti+3.39+ atoms to form a mixture of distorted edge and corner-sharing OTi4 trigonal pyramids. In the twenty-sixth O2- site, O2- is bonded to four Ti+3.39+ atoms to form a mixture of distorted edge and corner-sharing OTi4 trigonal pyramids. In the twenty-seventh O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.39+ atoms. In the twenty-eighth O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.39+ atoms. In the twenty-ninth O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.39+ atoms. In the thirtieth O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.39+ atoms. In the thirty-first O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.39+ atoms. In the thirty-second O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.39+ atoms. In the thirty-third O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.39+ atoms. In the thirty-fourth O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.39+ atoms. In the thirty-fifth O2- site, O2- is bonded to four Ti+3.39+ atoms to form a mixture of distorted edge and corner-sharing OTi4 trigonal pyramids. In the thirty-sixth O2- site, O2- is bonded to one Mg2+ and three Ti+3.39+ atoms to form distorted OMgTi3 trigonal pyramids that share corners with four OTi4 trigonal pyramids and edges with four OMgTi3 trigonal pyramids. In the thirty-seventh O2- site, O2- is bonded to four Ti+3.39+ atoms to form a mixture of distorted edge and corner-sharing OTi4 trigonal pyramids. In the thirty-eighth O2- site, O2- is bonded to four Ti+3.39+ atoms to form a mixture of distorted edge and corner-sharing OTi4 trigonal pyramids. In the thirty-ninth O
U17O31 crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are seventeen inequivalent U+3.65+ sites. In the first U+3.65+ site, U+3.65+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of U–O bond distances ranging from 2.34–2.44 Å. In the second U+3.65+ site, U+3.65+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of U–O bond distances ranging from 2.28–2.37 Å. In the third U+3.65+ site, U+3.65+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of U–O bond distances ranging from 2.28–2.39 Å. In the fourth U+3.65+ site, U+3.65+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of U–O bond distances ranging from 2.35–2.53 Å. In the fifth U+3.65+ site, U+3.65+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of U–O bond distances ranging from 2.33–2.47 Å. In the sixth U+3.65+ site, U+3.65+ is bonded to seven O2- atoms to form distorted edge-sharing UO7 hexagonal pyramids. There are a spread of U–O bond distances ranging from 2.29–2.39 Å. In the seventh U+3.65+ site, U+3.65+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of U–O bond distances ranging from 2.23–2.36 Å. In the eighth U+3.65+ site, U+3.65+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of U–O bond distances ranging from 2.32–2.44 Å. In the ninth U+3.65+ site, U+3.65+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of U–O bond distances ranging from 2.34–2.56 Å. In the tenth U+3.65+ site, U+3.65+ is bonded to seven O2- atoms to form a mixture of distorted corner and edge-sharing UO7 hexagonal pyramids. There are a spread of U–O bond distances ranging from 2.28–2.38 Å. In the eleventh U+3.65+ site, U+3.65+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of U–O bond distances ranging from 2.33–2.45 Å. In the twelfth U+3.65+ site, U+3.65+ is bonded to seven O2- atoms to form a mixture of distorted corner and edge-sharing UO7 hexagonal pyramids. There are a spread of U–O bond distances ranging from 2.30–2.38 Å. In the thirteenth U+3.65+ site, U+3.65+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of U–O bond distances ranging from 2.25–2.33 Å. In the fourteenth U+3.65+ site, U+3.65+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of U–O bond distances ranging from 2.33–2.48 Å. In the fifteenth U+3.65+ site, U+3.65+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of U–O bond distances ranging from 2.33–2.49 Å. In the sixteenth U+3.65+ site, U+3.65+ is bonded to seven O2- atoms to form distorted edge-sharing UO7 hexagonal pyramids. There are a spread of U–O bond distances ranging from 2.29–2.38 Å. In the seventeenth U+3.65+ site, U+3.65+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of U–O bond distances ranging from 2.25–2.34 Å. There are thirty-one inequivalent O2- sites. In the first O2- site, O2- is bonded to four U+3.65+ atoms to form a mixture of distorted corner and edge-sharing OU4 tetrahedra. In the second O2- site, O2- is bonded to four U+3.65+ atoms to form a mixture of corner and edge-sharing OU4 tetrahedra. In the third O2- site, O2- is bonded to four U+3.65+ atoms to form a mixture of corner and edge-sharing OU4 tetrahedra. In the fourth O2- site, O2- is bonded to four U+3.65+ atoms to form a mixture of corner and edge-sharing OU4 tetrahedra. In the fifth O2- site, O2- is bonded to four U+3.65+ atoms to form a mixture of corner and edge-sharing OU4 tetrahedra. In the sixth O2- site, O2- is bonded to four U+3.65+ atoms to form a mixture of corner and edge-sharing OU4 tetrahedra. In the seventh O2- site, O2- is bonded to four U+3.65+ atoms to form a mixture of corner and edge-sharing OU4 tetrahedra. In the eighth O2- site, O2- is bonded to four U+3.65+ atoms to form a mixture of distorted corner and edge-sharing OU4 tetrahedra. In the ninth O2- site, O2- is bonded to four U+3.65+ atoms to form a mixture of corner and edge-sharing OU4 tetrahedra. In the tenth O2- site, O2- is bonded to four U+3.65+ atoms to form a mixture of corner and edge-sharing OU4 tetrahedra. In the eleventh O2- site, O2- is bonded to four U+3.65+ atoms to form a mixture of corner and edge-sharing OU4 tetrahedra. In the twelfth O2- site, O2- is bonded to four U+3.65+ atoms to form a mixture of corner and edge-sharing OU4 tetrahedra. In the thirteenth O2- site, O2- is bonded to four U+3.65+ atoms to form a mixture of corner and edge-sharing OU4 tetrahedra. In the fourteenth O2- site, O2- is bonded to four U+3.65+ atoms to form a mixture of distorted corner and edge-sharing OU4 tetrahedra. In the fifteenth O2- site, O2- is bonded to four U+3.65+ atoms to form a mixture of corner and edge-sharing OU4 tetrahedra. In the sixteenth O2- site, O2- is bonded to four U+3.65+ atoms to form a mixture of corner and edge-sharing OU4 tetrahedra. In the seventeenth O2- site, O2- is bonded to four U+3.65+ atoms to form a mixture of corner and edge-sharing OU4 tetrahedra. In the eighteenth O2- site, O2- is bonded to four U+3.65+ atoms to form a mixture of corner and edge-sharing OU4 tetrahedra. In the nineteenth O2- site, O2- is bonded to four U+3.65+ atoms to form a mixture of corner and edge-sharing OU4 tetrahedra. In the twentieth O2- site, O2- is bonded to four U+3.65+ atoms to form a mixture of distorted corner and edge-sharing OU4 tetrahedra. In the twenty-first O2- site, O2- is bonded to four U+3.65+ atoms to form a mixture of corner and edge-sharing OU4 tetrahedra. In the twenty-second O2- site, O2- is bonded to four U+3.65+ atoms to form a mixture of corner and edge-sharing OU4 tetrahedra. In the twenty-third O2- site, O2- is bonded to four U+3.65+ atoms to form a mixture of corner and edge-sharing OU4 tetrahedra. In the twenty-fourth O2- site, O2- is bonded to four U+3.65+ atoms to form a mixture of corner and edge-sharing OU4 tetrahedra. In the twenty-fifth O2- site, O2- is bonded to four U+3.65+ atoms to form a mixture of corner and edge-sharing OU4 tetrahedra. In the twenty-sixth O2- site, O2- is bonded to four U+3.65+ atoms to form a mixture of corner and edge-sharing OU4 tetrahedra. In the twenty-seventh O2- site, O2- is bonded to four U+3.65+ atoms to form a mixture of corner and edge-sharing OU4 tetrahedra. In the twenty-eighth O2- site, O2- is bonded to four U+3.65+ atoms to form a mixture of corner and edge-sharing OU4 tetrahedra. In the twenty-ninth O2- site, O2- is bonded to four U+3.65+ atoms to form a mixture of corner and edge-sharing OU4 tetrahedra. In the thirtieth O2- site, O2- is bonded to four U+3.65+ atoms to form a mixture of corner and edge-sharing OU4 tetrahedra. In the thirty-first O2- site, O2- is bonded to four U+3.65+ atoms to form a mixture of corner and edge-sharing OU4 tetrahedra.
Ca2O3 is Spinel-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are sixteen inequivalent Ca sites. In the first Ca site, Ca is bonded in a distorted hexagonal planar geometry to six O atoms. There are a spread of Ca–O bond distances ranging from 2.32–2.35 Å. In the second Ca site, Ca is bonded in a distorted hexagonal planar geometry to six O atoms. There are a spread of Ca–O bond distances ranging from 2.32–2.37 Å. In the third Ca site, Ca is bonded in a distorted hexagonal planar geometry to six O atoms. There are a spread of Ca–O bond distances ranging from 2.32–2.35 Å. In the fourth Ca site, Ca is bonded to six O atoms to form a mixture of distorted edge and corner-sharing CaO6 octahedra. The corner-sharing octahedra tilt angles range from 58–59°. There are a spread of Ca–O bond distances ranging from 2.32–2.41 Å. In the fifth Ca site, Ca is bonded in a distorted hexagonal planar geometry to six O atoms. There are a spread of Ca–O bond distances ranging from 2.31–2.37 Å. In the sixth Ca site, Ca is bonded to six O atoms to form a mixture of distorted edge and corner-sharing CaO6 octahedra. The corner-sharing octahedra tilt angles range from 55–56°. There are a spread of Ca–O bond distances ranging from 2.35–2.38 Å. In the seventh Ca site, Ca is bonded to six O atoms to form a mixture of distorted edge and corner-sharing CaO6 octahedra. The corner-sharing octahedra tilt angles range from 56–58°. There are a spread of Ca–O bond distances ranging from 2.31–2.39 Å. In the eighth Ca site, Ca is bonded to six O atoms to form a mixture of distorted edge and corner-sharing CaO6 octahedra. The corner-sharing octahedra tilt angles range from 56–57°. There are a spread of Ca–O bond distances ranging from 2.33–2.43 Å. In the ninth Ca site, Ca is bonded in a distorted hexagonal planar geometry to six O atoms. There are a spread of Ca–O bond distances ranging from 2.31–2.35 Å. In the tenth Ca site, Ca is bonded to six O atoms to form a mixture of distorted edge and corner-sharing CaO6 octahedra. The corner-sharing octahedra tilt angles range from 55–68°. There are a spread of Ca–O bond distances ranging from 2.32–2.38 Å. In the eleventh Ca site, Ca is bonded in a distorted hexagonal planar geometry to six O atoms. There are a spread of Ca–O bond distances ranging from 2.31–2.37 Å. In the twelfth Ca site, Ca is bonded in a distorted hexagonal planar geometry to six O atoms. There are a spread of Ca–O bond distances ranging from 2.31–2.36 Å. In the thirteenth Ca site, Ca is bonded to six O atoms to form a mixture of distorted edge and corner-sharing CaO6 octahedra. The corner-sharing octahedra tilt angles range from 55–59°. There are a spread of Ca–O bond distances ranging from 2.33–2.44 Å. In the fourteenth Ca site, Ca is bonded to six O atoms to form a mixture of distorted edge and corner-sharing CaO6 octahedra. The corner-sharing octahedra tilt angles range from 57–68°. There are a spread of Ca–O bond distances ranging from 2.33–2.46 Å. In the fifteenth Ca site, Ca is bonded to six O atoms to form a mixture of distorted edge and corner-sharing CaO6 octahedra. The corner-sharing octahedra tilt angles range from 56–68°. There are a spread of Ca–O bond distances ranging from 2.30–2.45 Å. In the sixteenth Ca site, Ca is bonded to six O atoms to form a mixture of distorted edge and corner-sharing CaO6 octahedra. The corner-sharing octahedral tilt angles are 56°. There are a spread of Ca–O bond distances ranging from 2.34–2.48 Å. There are twenty-four inequivalent O sites. In the first O site, O is bonded to four Ca atoms to form a mixture of edge and corner-sharing OCa4 tetrahedra. In the second O site, O is bonded to four Ca atoms to form a mixture of edge and corner-sharing OCa4 tetrahedra. In the third O site, O is bonded to four Ca atoms to form a mixture of edge and corner-sharing OCa4 tetrahedra. In the fourth O site, O is bonded to four Ca atoms to form a mixture of edge and corner-sharing OCa4 tetrahedra. In the fifth O site, O is bonded to four Ca atoms to form a mixture of edge and corner-sharing OCa4 tetrahedra. In the sixth O site, O is bonded to four Ca atoms to form a mixture of edge and corner-sharing OCa4 tetrahedra. In the seventh O site, O is bonded to four Ca atoms to form a mixture of edge and corner-sharing OCa4 tetrahedra. In the eighth O site, O is bonded to four Ca atoms to form a mixture of edge and corner-sharing OCa4 tetrahedra. In the ninth O site, O is bonded to four Ca atoms to form a mixture of edge and corner-sharing OCa4 tetrahedra. In the tenth O site, O is bonded to four Ca atoms to form a mixture of edge and corner-sharing OCa4 tetrahedra. In the eleventh O site, O is bonded to four Ca atoms to form a mixture of edge and corner-sharing OCa4 tetrahedra. In the twelfth O site, O is bonded to four Ca atoms to form a mixture of edge and corner-sharing OCa4 tetrahedra. In the thirteenth O site, O is bonded to four Ca atoms to form a mixture of edge and corner-sharing OCa4 tetrahedra. In the fourteenth O site, O is bonded to four Ca atoms to form a mixture of edge and corner-sharing OCa4 tetrahedra. In the fifteenth O site, O is bonded to four Ca atoms to form a mixture of edge and corner-sharing OCa4 tetrahedra. In the sixteenth O site, O is bonded to four Ca atoms to form a mixture of edge and corner-sharing OCa4 tetrahedra. In the seventeenth O site, O is bonded to four Ca atoms to form a mixture of edge and corner-sharing OCa4 tetrahedra. In the eighteenth O site, O is bonded to four Ca atoms to form a mixture of edge and corner-sharing OCa4 tetrahedra. In the nineteenth O site, O is bonded to four Ca atoms to form a mixture of edge and corner-sharing OCa4 tetrahedra. In the twentieth O site, O is bonded to four Ca atoms to form a mixture of edge and corner-sharing OCa4 tetrahedra. In the twenty-first O site, O is bonded to four Ca atoms to form a mixture of edge and corner-sharing OCa4 tetrahedra. In the twenty-second O site, O is bonded to four Ca atoms to form a mixture of edge and corner-sharing OCa4 tetrahedra. In the twenty-third O site, O is bonded to four Ca atoms to form a mixture of edge and corner-sharing OCa4 tetrahedra. In the twenty-fourth O site, O is bonded to four Ca atoms to form a mixture of edge and corner-sharing OCa4 tetrahedra.
Zr19O40 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are nineteen 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 2.10–2.42 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 2.07–2.50 Å. In the third Zr site, Zr is bonded in a distorted body-centered cubic geometry to eight O atoms. There are a spread of Zr–O bond distances ranging from 2.09–2.43 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 2.08–2.47 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 2.07–2.47 Å. In the sixth Zr site, Zr is bonded in a distorted body-centered cubic geometry to eight O atoms. There are a spread of Zr–O bond distances ranging from 2.10–2.43 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 2.09–2.43 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 2.09–2.47 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 2.07–2.50 Å. In the tenth Zr site, Zr is bonded in a distorted body-centered cubic geometry to eight O atoms. There are a spread of Zr–O bond distances ranging from 2.07–2.54 Å. In the eleventh Zr site, Zr is bonded in a distorted body-centered cubic geometry to eight O atoms. There are a spread of Zr–O bond distances ranging from 2.08–2.48 Å. In the twelfth Zr site, Zr is bonded in a distorted body-centered cubic geometry to eight O atoms. There are a spread of Zr–O bond distances ranging from 2.09–2.43 Å. In the thirteenth Zr site, Zr is bonded in a distorted body-centered cubic geometry to eight O atoms. There are a spread of Zr–O bond distances ranging from 2.06–2.57 Å. In the fourteenth Zr site, Zr is bonded in a distorted body-centered cubic geometry to eight O atoms. There are a spread of Zr–O bond distances ranging from 2.07–2.46 Å. In the fifteenth Zr site, Zr is bonded in a distorted body-centered cubic geometry to eight O atoms. There are a spread of Zr–O bond distances ranging from 2.08–2.47 Å. In the sixteenth 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 2.07–2.49 Å. In the seventeenth Zr site, Zr is bonded in a distorted body-centered cubic geometry to eight O atoms. There are a spread of Zr–O bond distances ranging from 2.07–2.45 Å. In the eighteenth 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 nineteenth 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. There are forty inequivalent O sites. In the first O site, O is bonded to four Zr atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the second O site, O is bonded to four Zr atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the third O site, O is bonded to four Zr atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the fourth O site, O is bonded to four Zr atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the fifth O site, O is bonded to four Zr atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the sixth O site, O is bonded to four Zr atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the seventh O site, O is bonded to four Zr atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the eighth O site, O is bonded to four Zr atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the ninth O site, O is bonded to four Zr atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the tenth O site, O is bonded to four Zr atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the eleventh O site, O is bonded to four Zr atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the twelfth O site, O is bonded to four Zr atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the thirteenth O site, O is bonded to four Zr atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the fourteenth O site, O is bonded to four Zr atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the fifteenth O site, O is bonded to four Zr atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the sixteenth O site, O is bonded in a trigonal non-coplanar geometry to three Zr atoms. In the seventeenth O site, O is bonded to four Zr atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the eighteenth O site, O is bonded to four Zr atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the nineteenth O site, O is bonded to four Zr atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the twentieth O site, O is bonded to four Zr atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the twenty-first O site, O is bonded to four Zr atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the twenty-second O site, O is bonded in a trigonal non-coplanar geometry to three Zr atoms. In the twenty-third O site, O is bonded to four Zr atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the twenty-fourth O site, O is bonded to four Zr atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the twenty-fifth O site, O is bonded in a trigonal non-coplanar geometry to three Zr atoms. In the twenty-sixth O site, O is bonded in a trigonal non-coplanar geometry to three Zr atoms. In the twenty-seventh O site, O is bonded to four Zr atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the twenty-eighth O site, O is bonded to four Zr atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the twenty-ninth O site, O is bonded in a trigonal non-coplanar geometry to three Zr atoms. In the thirtieth O site, O is bonded to four Zr atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the thirty-first O site, O is bonded to four Zr atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the thirty-second O site, O is bonded to four Zr atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the thirty-third O site, O is bonded in a trigonal non-coplanar geometry to three Zr atoms. In the thirty-fourth O site, O is bonded to four Zr atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the thirty-fifth O site, O is bonded in a trigonal non-coplanar geometry to three Zr atoms. In the thirty-sixth O site, O is bonded to four Zr atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the thirty-seventh O site, O is bonded in a trigonal non-coplanar geometry to three Zr atoms. In the thirty-eighth O site, O is bonded to four Zr atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the thirty-ninth O site, O is bonded to four Zr atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the fortieth O site, O is bonded to four Zr atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra.
Fe32O35 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are thirty-two inequivalent Fe+2.19+ sites. In the first Fe+2.19+ site, Fe+2.19+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 1–18°. There are a spread of Fe–O bond distances ranging from 1.95–2.22 Å. In the second Fe+2.19+ site, Fe+2.19+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 2–18°. There are a spread of Fe–O bond distances ranging from 2.04–2.39 Å. In the third Fe+2.19+ site, Fe+2.19+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 0–25°. There are a spread of Fe–O bond distances ranging from 2.06–2.37 Å. In the fourth Fe+2.19+ site, Fe+2.19+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 1–5°. There are a spread of Fe–O bond distances ranging from 2.03–2.27 Å. In the fifth Fe+2.19+ site, Fe+2.19+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 1–5°. There are a spread of Fe–O bond distances ranging from 2.06–2.30 Å. In the sixth Fe+2.19+ site, Fe+2.19+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 4–5°. There are a spread of Fe–O bond distances ranging from 1.97–2.15 Å. In the seventh Fe+2.19+ site, Fe+2.19+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 2–24°. There are a spread of Fe–O bond distances ranging from 1.98–2.40 Å. In the eighth Fe+2.19+ site, Fe+2.19+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 2–12°. There are a spread of Fe–O bond distances ranging from 2.01–2.12 Å. In the ninth Fe+2.19+ site, Fe+2.19+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 0–23°. There are a spread of Fe–O bond distances ranging from 2.00–2.40 Å. In the tenth Fe+2.19+ site, Fe+2.19+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 4–13°. There are a spread of Fe–O bond distances ranging from 2.11–2.26 Å. In the eleventh Fe+2.19+ site, Fe+2.19+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 1–25°. There are a spread of Fe–O bond distances ranging from 2.07–2.27 Å. In the twelfth Fe+2.19+ site, Fe+2.19+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 3–9°. There are a spread of Fe–O bond distances ranging from 2.00–2.35 Å. In the thirteenth Fe+2.19+ site, Fe+2.19+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 3–4°. There are a spread of Fe–O bond distances ranging from 2.02–2.27 Å. In the fourteenth Fe+2.19+ site, Fe+2.19+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 1–13°. There are a spread of Fe–O bond distances ranging from 2.08–2.22 Å. In the fifteenth Fe+2.19+ site, Fe+2.19+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 6–11°. There are a spread of Fe–O bond distances ranging from 2.14–2.26 Å. In the sixteenth Fe+2.19+ site, Fe+2.19+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 1–24°. There are a spread of Fe–O bond distances ranging from 2.01–2.36 Å. In the seventeenth Fe+2.19+ site, Fe+2.19+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 1–23°. There are a spread of Fe–O bond distances ranging from 2.02–2.33 Å. In the eighteenth Fe+2.19+ site, Fe+2.19+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 2–9°. There are a spread of Fe–O bond distances ranging from 2.07–2.30 Å. In the nineteenth Fe+2.19+ site, Fe+2.19+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 5–6°. There are a spread of Fe–O bond distances ranging from 2.15–2.27 Å. In the twentieth Fe+2.19+ site, Fe+2.19+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 3–7°. There are a spread of Fe–O bond distances ranging from 2.05–2.33 Å. In the twenty-first Fe+2.19+ site, Fe+2.19+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 3–5°. There are a spread of Fe–O bond distances ranging from 1.97–2.13 Å. In the twenty-second Fe+2.19+ site, Fe+2.19+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 5–7°. There are a spread of Fe–O bond distances ranging from 2.13–2.24 Å. In the twenty-third Fe+2.19+ site, Fe+2.19+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 3–9°. There are a spread of Fe–O bond distances ranging from 2.11–2.24 Å. In the twenty-fourth Fe+2.19+ site, Fe+2.19+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 1–19°. There are a spread of Fe–O bond distances ranging from 2.07–2.35 Å. In the twenty-fifth Fe+2.19+ site, Fe+2.19+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 1–25°. There are a spread of Fe–O bond distances ranging from 2.08–2.28 Å. In the twenty-sixth Fe+2.19+ site, Fe+2.19+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 3–25°. There are a spread of Fe–O bond distances ranging from 2.08–2.34 Å. In the twenty-seventh Fe+2.19+ site, Fe+2.19+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 1–7°. There are a spread of Fe–O bond distances ranging from 2.09–2.28 Å. In the twenty-eighth Fe+2.19+ site, Fe+2.19+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 2–7°. There are a spread of Fe–O bond distances ranging from 2.04–2.30 Å. In the twenty-ninth Fe+2.19+ site, Fe+2.19+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 2–5°. There are a spread of Fe–O bond distances ranging from 2.00–2.17 Å. In the thirtieth Fe+2.19+ site, Fe+2.19+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 3–6°. There are a spread of Fe–O bond distances ranging from 2.13–2.33 Å. In the thirty-first Fe+2.19+ site, Fe+2.19+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 1–7°. There are a spread of Fe–O bond distances ranging from 2.13–2.26 Å. In the thirty-second Fe+2.19+ site, Fe+2.19+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 4–19°. There are a spread of Fe–O bond distances ranging from 1.96–2.24 Å. There are thirty-five inequivalent O2- sites. In the first O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Fe+2.19+ atoms. In the second O2- site, O2- is bonded to six Fe+2.19+ atoms to form OFe6 octahedra that share corners with four OFe6 octahedra, corners with two equivalent OFe5 square pyramids, edges with nine OFe6 octahedra, and an edgeedge with one OFe5 square pyramid. The corner-sharing octahedra tilt angles range from 2–9°. In the third O2- site, O2- is bonded to five Fe+2.19+ atoms to form OFe5 square pyramids that share corners with four OFe6 octahedra, a cornercorner with one OFe5 square pyramid, corners with two equivalent OFe4 trigonal pyramids, edges with six OFe6 octahedra, and edges with two equivalent OFe5 square pyramids. The corner-sharing octahedra tilt angles range from 11–17°. In the fourth O2- site, O2- is bonded to six Fe+2.19+ atoms to form OFe6 octahedra that share corners with four OFe6 octahedra, corners with two equivalent OFe5 square pyramids, edges with nine OFe6 octahedra, an edgeedge with one OFe5 square pyramid, and edges with two equivalent OFe4 trigonal pyramids. The corner-sharing octahedra tilt angles range from 2–6°. In the fifth O2- site, O2- is bonded to six Fe+2.19+ atoms to form OFe6 octahedra that share corners with four OFe6 octahedra, a cornercorner with one OFe4 trigonal pyramid, edges with eight OFe6 octahedra, and edges with four OFe5 square pyramids. The corner-sharing octahedra tilt angles range from 1–4°. In the sixth O2- site, O2- is bonded to six Fe+2.19+ atoms to form OFe6 octahedra that share corners with four OFe6 octahedra, corners with two OFe4 trigonal pyramids, edges with eight OFe6 octahedra, and edges with four OFe5 square pyramids. The corner-sharing octahedral tilt angles are 1°. In the seventh O2- site, O2- is bonded to four Fe+2.19+ atoms to form distorted OFe4 trigonal pyramids that share corners with four OFe6 octahedra, corners with four OFe5 square pyramids, corners with two equivalent OFe4 trigonal pyramids, and edges with five OFe6 octahedra. The corner-sharing octahedra tilt angles range from 3–14°. In the eighth O2- site, O2- is bonded to six Fe+2.19+ atoms to form OFe6 octahedra that share corners with two OFe6 octahedra, corners with two equivalent OFe5 square pyramids, corners with two equivalent OFe4 trigonal pyramids, edges with eight OFe6 octahedra, an edgeedge with one OFe5 square pyramid, and edges with three OFe4 trigonal pyramids. The corner-sharing octahedra tilt angles range from 1–5°. In the ninth O2- site, O2- is bonded to five Fe+2.19+ atoms to form OFe5 square pyramids that share corners with four OFe6 octahedra, a cornercorner with one OFe5 square pyramid, corners with four OFe4 trigonal pyramids, edges with six OFe6 octahedra, and edges with two equivalent OFe5 square pyramids. The corner-sharing octahedra tilt angles range from 17–19°. In the tenth O2- site, O2- is bonded to six Fe+2.19+ atoms to form OFe6 octahedra that share corners with four OFe6 octahedra, corners with two equivalent OFe5 square pyramids, edges with nine OFe6 octahedra, an edgeedge with one OFe5 square pyramid, and edges with two equivalent OFe4 trigonal pyramids. The corner-sharing octahedra tilt angles range from 2–6°. In the eleventh O2- site, O2- is bonded to six Fe+2.19+ atoms to form OFe6 octahedra that share corners with two OFe6 octahedra, corners with two equivalent OFe5 square pyramids, corners with two equivalent OFe4 trigonal pyramids, edges with eight OFe6 octahedra, an edgeedge with one OFe5 square pyramid, and edges with three OFe4 trigonal pyramids. The corner-sharing oc
Zr23S32 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twenty-three inequivalent Zr+2.78+ sites. In the first Zr+2.78+ site, Zr+2.78+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing ZrS6 octahedra. The corner-sharing octahedra tilt angles range from 1–5°. There are a spread of Zr–S bond distances ranging from 2.58–2.61 Å. In the second Zr+2.78+ site, Zr+2.78+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing ZrS6 octahedra. The corner-sharing octahedra tilt angles range from 1–5°. There are a spread of Zr–S bond distances ranging from 2.55–2.64 Å. In the third Zr+2.78+ site, Zr+2.78+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing ZrS6 octahedra. The corner-sharing octahedra tilt angles range from 1–5°. There are a spread of Zr–S bond distances ranging from 2.57–2.63 Å. In the fourth Zr+2.78+ site, Zr+2.78+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing ZrS6 octahedra. The corner-sharing octahedral tilt angles are 3°. There are a spread of Zr–S bond distances ranging from 2.61–2.70 Å. In the fifth Zr+2.78+ site, Zr+2.78+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing ZrS6 octahedra. The corner-sharing octahedral tilt angles are 1°. There are a spread of Zr–S bond distances ranging from 2.56–2.71 Å. In the sixth Zr+2.78+ site, Zr+2.78+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing ZrS6 octahedra. The corner-sharing octahedra tilt angles range from 1–5°. There are a spread of Zr–S bond distances ranging from 2.55–2.64 Å. In the seventh Zr+2.78+ site, Zr+2.78+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing ZrS6 octahedra. The corner-sharing octahedra tilt angles range from 0–5°. There are a spread of Zr–S bond distances ranging from 2.57–2.61 Å. In the eighth Zr+2.78+ site, Zr+2.78+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing ZrS6 octahedra. The corner-sharing octahedral tilt angles are 1°. There are a spread of Zr–S bond distances ranging from 2.54–2.70 Å. In the ninth Zr+2.78+ site, Zr+2.78+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing ZrS6 octahedra. The corner-sharing octahedra tilt angles range from 1–5°. There are a spread of Zr–S bond distances ranging from 2.58–2.64 Å. In the tenth Zr+2.78+ site, Zr+2.78+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing ZrS6 octahedra. The corner-sharing octahedral tilt angles are 2°. There are a spread of Zr–S bond distances ranging from 2.53–2.68 Å. In the eleventh Zr+2.78+ site, Zr+2.78+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing ZrS6 octahedra. The corner-sharing octahedral tilt angles are 5°. There are a spread of Zr–S bond distances ranging from 2.61–2.69 Å. In the twelfth Zr+2.78+ site, Zr+2.78+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing ZrS6 octahedra. The corner-sharing octahedra tilt angles range from 0–5°. There are a spread of Zr–S bond distances ranging from 2.57–2.64 Å. In the thirteenth Zr+2.78+ site, Zr+2.78+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing ZrS6 octahedra. The corner-sharing octahedra tilt angles range from 2–6°. There are a spread of Zr–S bond distances ranging from 2.56–2.62 Å. In the fourteenth Zr+2.78+ site, Zr+2.78+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing ZrS6 octahedra. The corner-sharing octahedra tilt angles range from 0–5°. There are a spread of Zr–S bond distances ranging from 2.56–2.61 Å. In the fifteenth Zr+2.78+ site, Zr+2.78+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing ZrS6 octahedra. The corner-sharing octahedra tilt angles range from 1–6°. There are a spread of Zr–S bond distances ranging from 2.54–2.63 Å. In the sixteenth Zr+2.78+ site, Zr+2.78+ is bonded to six S2- atoms to form edge-sharing ZrS6 octahedra. There are a spread of Zr–S bond distances ranging from 2.55–2.71 Å. In the seventeenth Zr+2.78+ site, Zr+2.78+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing ZrS6 octahedra. The corner-sharing octahedra tilt angles range from 1–6°. There are a spread of Zr–S bond distances ranging from 2.57–2.72 Å. In the eighteenth Zr+2.78+ site, Zr+2.78+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing ZrS6 octahedra. The corner-sharing octahedra tilt angles range from 5–6°. There are a spread of Zr–S bond distances ranging from 2.57–2.65 Å. In the nineteenth Zr+2.78+ site, Zr+2.78+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing ZrS6 octahedra. The corner-sharing octahedra tilt angles range from 1–6°. There are a spread of Zr–S bond distances ranging from 2.56–2.65 Å. In the twentieth Zr+2.78+ site, Zr+2.78+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing ZrS6 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. There are a spread of Zr–S bond distances ranging from 2.57–2.62 Å. In the twenty-first Zr+2.78+ site, Zr+2.78+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing ZrS6 octahedra. The corner-sharing octahedra tilt angles range from 1–6°. There are a spread of Zr–S bond distances ranging from 2.56–2.72 Å. In the twenty-second Zr+2.78+ site, Zr+2.78+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing ZrS6 octahedra. The corner-sharing octahedra tilt angles range from 1–6°. There are a spread of Zr–S bond distances ranging from 2.52–2.64 Å. In the twenty-third Zr+2.78+ site, Zr+2.78+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing ZrS6 octahedra. The corner-sharing octahedra tilt angles range from 3–6°. There are a spread of Zr–S bond distances ranging from 2.54–2.65 Å. There are thirty-two inequivalent S2- sites. In the first S2- site, S2- is bonded in a T-shaped geometry to three Zr+2.78+ atoms. In the second S2- site, S2- is bonded to five Zr+2.78+ atoms to form a mixture of edge and corner-sharing SZr5 square pyramids. In the third S2- site, S2- is bonded in a rectangular see-saw-like geometry to four Zr+2.78+ atoms. In the fourth S2- site, S2- is bonded in a rectangular see-saw-like geometry to four Zr+2.78+ atoms. In the fifth S2- site, S2- is bonded to five Zr+2.78+ atoms to form a mixture of edge and corner-sharing SZr5 square pyramids. In the sixth S2- site, S2- is bonded in a rectangular see-saw-like geometry to four Zr+2.78+ atoms. In the seventh S2- site, S2- is bonded in a rectangular see-saw-like geometry to four Zr+2.78+ atoms. In the eighth S2- site, S2- is bonded in a rectangular see-saw-like geometry to four Zr+2.78+ atoms. In the ninth S2- site, S2- is bonded to five Zr+2.78+ atoms to form a mixture of edge and corner-sharing SZr5 square pyramids. In the tenth S2- site, S2- is bonded to five Zr+2.78+ atoms to form a mixture of edge and corner-sharing SZr5 square pyramids. In the eleventh S2- site, S2- is bonded in a rectangular see-saw-like geometry to four Zr+2.78+ atoms. In the twelfth S2- site, S2- is bonded in a rectangular see-saw-like geometry to four Zr+2.78+ atoms. In the thirteenth S2- site, S2- is bonded in a rectangular see-saw-like geometry to four Zr+2.78+ atoms. In the fourteenth S2- site, S2- is bonded to five Zr+2.78+ atoms to form SZr5 square pyramids that share corners with four equivalent SZr5 square pyramids, edges with two equivalent SZr6 octahedra, and edges with four SZr5 square pyramids. In the fifteenth S2- site, S2- is bonded to five Zr+2.78+ atoms to form SZr5 square pyramids that share a cornercorner with one SZr6 octahedra and edges with two SZr5 square pyramids. The corner-sharing octahedral tilt angles are 2°. In the sixteenth S2- site, S2- is bonded to six Zr+2.78+ atoms to form a mixture of edge and corner-sharing SZr6 octahedra. In the seventeenth S2- site, S2- is bonded in a rectangular see-saw-like geometry to four Zr+2.78+ atoms. In the eighteenth S2- site, S2- is bonded in a rectangular see-saw-like geometry to four Zr+2.78+ atoms. In the nineteenth S2- site, S2- is bonded in a T-shaped geometry to three Zr+2.78+ atoms. In the twentieth S2- site, S2- is bonded to five Zr+2.78+ atoms to form SZr5 square pyramids that share corners with three SZr5 square pyramids, an edgeedge with one SZr6 octahedra, and edges with three SZr5 square pyramids. In the twenty-first S2- site, S2- is bonded in a rectangular see-saw-like geometry to four Zr+2.78+ atoms. In the twenty-second S2- site, S2- is bonded in a rectangular see-saw-like geometry to four Zr+2.78+ atoms. In the twenty-third S2- site, S2- is bonded to five Zr+2.78+ atoms to form SZr5 square pyramids that share corners with four equivalent SZr6 octahedra, corners with two SZr5 square pyramids, and edges with four SZr5 square pyramids. The corner-sharing octahedra tilt angles range from 3–4°. In the twenty-fourth S2- site, S2- is bonded in a distorted T-shaped geometry to three Zr+2.78+ atoms. In the twenty-fifth S2- site, S2- is bonded to five Zr+2.78+ atoms to form SZr5 square pyramids that share corners with four equivalent SZr5 square pyramids, edges with two equivalent SZr6 octahedra, and edges with four SZr5 square pyramids. In the twenty-sixth S2- site, S2- is bonded to five Zr+2.78+ atoms to form SZr5 square pyramids that share corners with three SZr5 square pyramids, an edgeedge with one SZr6 octahedra, and edges with three SZr5 square pyramids. In the twenty-seventh S2- site, S2- is bonded in a rectangular see-saw-like geometry to four Zr+2.78+ atoms. In the twenty-eighth S2- site, S2- is bonded to five Zr+2.78+ atoms to form a mixture of edge and corner-sharing SZr5 square pyramids. In the twenty-ninth S2- site, S2- is bonded in a distorted T-shaped geometry to three Zr+2.78+ atoms. In the thirtieth S2- site, S2- is bonded in a rectangular see-saw-like geometry to four Zr+2.78+ atoms. In the thirty-first S2- site, S2- is bonded in a rectangular see-saw-like geometry to four Zr+2.78+ atoms. In the thirty-second S2- site, S2- is bonded to five Zr+2.78+ atoms to form a mixture of edge and corner-sharing SZr5 square pyramids.
Li(CoO2)2 is Spinel structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with twelve CoO6 octahedra. The corner-sharing octahedra tilt angles range from 58–63°. There is two shorter (1.93 Å) and two longer (1.95 Å) Li–O bond length. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with twelve CoO6 octahedra. The corner-sharing octahedra tilt angles range from 57–61°. There are a spread of Li–O bond distances ranging from 1.93–1.96 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with twelve CoO6 octahedra. The corner-sharing octahedra tilt angles range from 57–62°. There is two shorter (1.93 Å) and two longer (1.95 Å) Li–O bond length. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with twelve CoO6 octahedra. The corner-sharing octahedra tilt angles range from 58–61°. There are a spread of Li–O bond distances ranging from 1.92–1.95 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with twelve CoO6 octahedra. The corner-sharing octahedra tilt angles range from 57–61°. There are a spread of Li–O bond distances ranging from 1.92–1.96 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with twelve CoO6 octahedra. The corner-sharing octahedra tilt angles range from 58–62°. There is three shorter (1.94 Å) and one longer (1.95 Å) Li–O bond length. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with twelve CoO6 octahedra. The corner-sharing octahedra tilt angles range from 58–62°. There are a spread of Li–O bond distances ranging from 1.92–1.95 Å. In the eighth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with twelve CoO6 octahedra. The corner-sharing octahedra tilt angles range from 57–61°. There are a spread of Li–O bond distances ranging from 1.93–1.96 Å. There are sixteen inequivalent Co+3.50+ sites. In the first Co+3.50+ site, Co+3.50+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.88–1.92 Å. In the second Co+3.50+ site, Co+3.50+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.87–1.92 Å. In the third Co+3.50+ site, Co+3.50+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.87–1.93 Å. In the fourth Co+3.50+ site, Co+3.50+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.90–1.95 Å. In the fifth Co+3.50+ site, Co+3.50+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.89–1.95 Å. In the sixth Co+3.50+ site, Co+3.50+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.86–1.95 Å. In the seventh Co+3.50+ site, Co+3.50+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.90–1.95 Å. In the eighth Co+3.50+ site, Co+3.50+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.91–1.95 Å. In the ninth Co+3.50+ site, Co+3.50+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.88–1.91 Å. In the tenth Co+3.50+ site, Co+3.50+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.89–1.95 Å. In the eleventh Co+3.50+ site, Co+3.50+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.87–1.93 Å. In the twelfth Co+3.50+ site, Co+3.50+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.91–1.93 Å. In the thirteenth Co+3.50+ site, Co+3.50+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.88–1.91 Å. In the fourteenth Co+3.50+ site, Co+3.50+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.86–1.93 Å. In the fifteenth Co+3.50+ site, Co+3.50+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.89–1.96 Å. In the sixteenth Co+3.50+ site, Co+3.50+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.90–1.95 Å. There are thirty-two inequivalent O2- sites. In the first O2- site, O2- is bonded to one Li1+ and three Co+3.50+ atoms to form a mixture of distorted edge and corner-sharing OLiCo3 trigonal pyramids. In the second O2- site, O2- is bonded to one Li1+ and three Co+3.50+ atoms to form a mixture of distorted edge and corner-sharing OLiCo3 trigonal pyramids. In the third O2- site, O2- is bonded to one Li1+ and three Co+3.50+ atoms to form a mixture of distorted edge and corner-sharing OLiCo3 trigonal pyramids. In the fourth O2- site, O2- is bonded to one Li1+ and three Co+3.50+ atoms to form a mixture of distorted edge and corner-sharing OLiCo3 trigonal pyramids. In the fifth O2- site, O2- is bonded to one Li1+ and three Co+3.50+ atoms to form a mixture of distorted edge and corner-sharing OLiCo3 trigonal pyramids. In the sixth O2- site, O2- is bonded to one Li1+ and three Co+3.50+ atoms to form a mixture of distorted edge and corner-sharing OLiCo3 trigonal pyramids. In the seventh O2- site, O2- is bonded to one Li1+ and three Co+3.50+ atoms to form a mixture of distorted edge and corner-sharing OLiCo3 trigonal pyramids. In the eighth O2- site, O2- is bonded to one Li1+ and three Co+3.50+ atoms to form a mixture of distorted edge and corner-sharing OLiCo3 trigonal pyramids. In the ninth O2- site, O2- is bonded to one Li1+ and three Co+3.50+ atoms to form a mixture of distorted edge and corner-sharing OLiCo3 trigonal pyramids. In the tenth O2- site, O2- is bonded to one Li1+ and three Co+3.50+ atoms to form a mixture of distorted edge and corner-sharing OLiCo3 tetrahedra. In the eleventh O2- site, O2- is bonded to one Li1+ and three Co+3.50+ atoms to form a mixture of distorted edge and corner-sharing OLiCo3 tetrahedra. In the twelfth O2- site, O2- is bonded to one Li1+ and three Co+3.50+ atoms to form a mixture of distorted edge and corner-sharing OLiCo3 trigonal pyramids. In the thirteenth O2- site, O2- is bonded to one Li1+ and three Co+3.50+ atoms to form a mixture of distorted edge and corner-sharing OLiCo3 trigonal pyramids. In the fourteenth O2- site, O2- is bonded to one Li1+ and three Co+3.50+ atoms to form a mixture of distorted edge and corner-sharing OLiCo3 trigonal pyramids. In the fifteenth O2- site, O2- is bonded to one Li1+ and three Co+3.50+ atoms to form a mixture of distorted edge and corner-sharing OLiCo3 trigonal pyramids. In the sixteenth O2- site, O2- is bonded to one Li1+ and three Co+3.50+ atoms to form a mixture of distorted edge and corner-sharing OLiCo3 trigonal pyramids. In the seventeenth O2- site, O2- is bonded to one Li1+ and three Co+3.50+ atoms to form a mixture of distorted edge and corner-sharing OLiCo3 tetrahedra. In the eighteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Co+3.50+ atoms. In the nineteenth O2- site, O2- is bonded to one Li1+ and three Co+3.50+ atoms to form a mixture of distorted edge and corner-sharing OLiCo3 trigonal pyramids. In the twentieth O2- site, O2- is bonded to one Li1+ and three Co+3.50+ atoms to form a mixture of distorted edge and corner-sharing OLiCo3 tetrahedra. In the twenty-first O2- site, O2- is bonded to one Li1+ and three Co+3.50+ atoms to form a mixture of distorted edge and corner-sharing OLiCo3 trigonal pyramids. In the twenty-second O2- site, O2- is bonded to one Li1+ and three Co+3.50+ atoms to form a mixture of distorted edge and corner-sharing OLiCo3 trigonal pyramids. In the twenty-third O2- site, O2- is bonded to one Li1+ and three Co+3.50+ atoms to form a mixture of distorted edge and corner-sharing OLiCo3 trigonal pyramids. In the twenty-fourth O2- site, O2- is bonded to one Li1+ and three Co+3.50+ atoms to form a mixture of distorted edge and corner-sharing OLiCo3 trigonal pyramids. In the twenty-fifth O2- site, O2- is bonded to one Li1+ and three Co+3.50+ atoms to form a mixture of distorted edge and corner-sharing OLiCo3 trigonal pyramids. In the twenty-sixth O2- site, O2- is bonded to one Li1+ and three Co+3.50+ atoms to form a mixture of distorted edge and corner-sharing OLiCo3 trigonal pyramids. In the twenty-seventh O2- site, O2- is bonded to one Li1+ and three Co+3.50+ atoms to form a mixture of distorted edge and corner-sharing OLiCo3 trigonal pyramids. In the twenty-eighth O2- site, O2- is bonded to one Li1+ and three Co+3.50+ atoms to form a mixture of distorted edge and corner-sharing OLiCo3 trigonal pyramids. In the twenty-ninth O2- site, O2- is bonded to one Li1+ and three Co+3.50+ atoms to form a mixture of distorted edge and corner-sharing OLiCo3 trigonal pyramids. In the thirtieth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Co+3.50+ atoms. In the thirty-first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Co+3.50+ atoms. In the thirty-second O2- site, O2- is bonded to one Li1+ and three Co+3.50+ atoms to form a mixture of distorted edge and corner-sharing OLiCo3 trigonal pyramids.