Ho2Zr8O19 is alpha bismuth trifluoride-derived structured and crystallizes in the tetragonal P-4m2 space group. Ho(1) is bonded in a 6-coordinate geometry to two equivalent O(6), two equivalent O(7), and two equivalent O(8) atoms. There are four inequivalent Zr sites. In the first Zr site, Zr(1) is bonded in a body-centered cubic geometry to two equivalent O(1), two equivalent O(5), two equivalent O(6), and two equivalent O(7) atoms. In the second Zr site, Zr(2) is bonded in a body-centered cubic geometry to two equivalent O(1), two equivalent O(2), two equivalent O(5), and two equivalent O(9) atoms. In the third Zr site, Zr(3) is bonded in a body-centered cubic geometry to two equivalent O(10), two equivalent O(2), two equivalent O(3), and two equivalent O(9) atoms. In the fourth Zr site, Zr(4) is bonded in a body-centered cubic geometry to two equivalent O(10), two equivalent O(11), two equivalent O(3), and two equivalent O(4) atoms. There are eleven inequivalent O sites. In the first O site, O(1) is bonded to two equivalent Zr(1) and two equivalent Zr(2) atoms to form OZr4 tetrahedra that share corners with two equivalent O(7)Ho2Zr2 tetrahedra, corners with two equivalent O(9)Zr4 tetrahedra, corners with four equivalent O(6)Ho2Zr2 tetrahedra, corners with four equivalent O(1)Zr4 tetrahedra, corners with four equivalent O(2)Zr4 tetrahedra,  an edgeedge with one O(7)Ho2Zr2 tetrahedra,  an edgeedge with one O(9)Zr4 tetrahedra, and edges with four equivalent O(5)Zr4 tetrahedra. In the second O site, O(2) is bonded to two equivalent Zr(2) and two equivalent Zr(3) atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the third O site, O(3) is bonded to two equivalent Zr(3) and two equivalent Zr(4) atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the fourth O site, O(4) is bonded to four equivalent Zr(4) atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the fifth O site, O(5) is bonded to two equivalent Zr(1) and two equivalent Zr(2) atoms to form OZr4 tetrahedra that share corners with two equivalent O(6)Ho2Zr2 tetrahedra, corners with two equivalent O(2)Zr4 tetrahedra, corners with four equivalent O(7)Ho2Zr2 tetrahedra, corners with four equivalent O(5)Zr4 tetrahedra, corners with four equivalent O(9)Zr4 tetrahedra,  an edgeedge with one O(6)Ho2Zr2 tetrahedra,  an edgeedge with one O(2)Zr4 tetrahedra, and edges with four equivalent O(1)Zr4 tetrahedra. In the sixth O site, O(6) is bonded to two equivalent Ho(1) and two equivalent Zr(1) atoms to form OHo2Zr2 tetrahedra that share corners with two equivalent O(8)Ho4 tetrahedra, corners with two equivalent O(5)Zr4 tetrahedra, corners with four equivalent O(6)Ho2Zr2 tetrahedra, corners with four equivalent O(1)Zr4 tetrahedra,  an edgeedge with one O(8)Ho4 tetrahedra,  an edgeedge with one O(5)Zr4 tetrahedra, and edges with four equivalent O(7)Ho2Zr2 tetrahedra. In the seventh O site, O(7) is bonded to two equivalent Ho(1) and two equivalent Zr(1) atoms to form OHo2Zr2 tetrahedra that share corners with two equivalent O(1)Zr4 tetrahedra, corners with four equivalent O(7)Ho2Zr2 tetrahedra, corners with four equivalent O(8)Ho4 tetrahedra, corners with four equivalent O(5)Zr4 tetrahedra,  an edgeedge with one O(1)Zr4 tetrahedra, and edges with four equivalent O(6)Ho2Zr2 tetrahedra. In the eighth O site, O(8) is bonded to four equivalent Ho(1) atoms to form OHo4 tetrahedra that share corners with four equivalent O(6)Ho2Zr2 tetrahedra, corners with four equivalent O(8)Ho4 tetrahedra, corners with eight equivalent O(7)Ho2Zr2 tetrahedra, and edges with two equivalent O(6)Ho2Zr2 tetrahedra. In the ninth O site, O(9) is bonded to two equivalent Zr(2) and two equivalent Zr(3) atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the tenth O site, O(10) is bonded to two equivalent Zr(3) and two equivalent Zr(4) atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the eleventh O site, O(11) is bonded to four equivalent Zr(4) atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra.
Ho2Zr8O19 is alpha bismuth trifluoride-derived structured and crystallizes in the tetragonal P-4m2 space group. Ho(1) is bonded in a 6-coordinate geometry to two equivalent O(6), two equivalent O(7), and two equivalent O(8) atoms. Both Ho(1)-O(6) bond lengths are 2.26 Å. Both Ho(1)-O(7) bond lengths are 2.10 Å. Both Ho(1)-O(8) bond lengths are 2.32 Å. There are four inequivalent Zr sites. In the first Zr site, Zr(1) is bonded in a body-centered cubic geometry to two equivalent O(1), two equivalent O(5), two equivalent O(6), and two equivalent O(7) atoms. Both Zr(1)-O(1) bond lengths are 2.15 Å. Both Zr(1)-O(5) bond lengths are 2.30 Å. Both Zr(1)-O(6) bond lengths are 2.14 Å. Both Zr(1)-O(7) bond lengths are 2.31 Å. In the second Zr site, Zr(2) is bonded in a body-centered cubic geometry to two equivalent O(1), two equivalent O(2), two equivalent O(5), and two equivalent O(9) atoms. Both Zr(2)-O(1) bond lengths are 2.30 Å. Both Zr(2)-O(2) bond lengths are 2.28 Å. Both Zr(2)-O(5) bond lengths are 2.15 Å. Both Zr(2)-O(9) bond lengths are 2.16 Å. In the third Zr site, Zr(3) is bonded in a body-centered cubic geometry to two equivalent O(10), two equivalent O(2), two equivalent O(3), and two equivalent O(9) atoms. Both Zr(3)-O(10) bond lengths are 2.25 Å. Both Zr(3)-O(2) bond lengths are 2.17 Å. Both Zr(3)-O(3) bond lengths are 2.19 Å. Both Zr(3)-O(9) bond lengths are 2.29 Å. In the fourth Zr site, Zr(4) is bonded in a body-centered cubic geometry to two equivalent O(10), two equivalent O(11), two equivalent O(3), and two equivalent O(4) atoms. Both Zr(4)-O(10) bond lengths are 2.19 Å. Both Zr(4)-O(11) bond lengths are 2.22 Å. Both Zr(4)-O(3) bond lengths are 2.26 Å. Both Zr(4)-O(4) bond lengths are 2.22 Å. There are eleven inequivalent O sites. In the first O site, O(1) is bonded to two equivalent Zr(1) and two equivalent Zr(2) atoms to form OZr4 tetrahedra that share corners with two equivalent O(7)Ho2Zr2 tetrahedra, corners with two equivalent O(9)Zr4 tetrahedra, corners with four equivalent O(6)Ho2Zr2 tetrahedra, corners with four equivalent O(1)Zr4 tetrahedra, corners with four equivalent O(2)Zr4 tetrahedra,  an edgeedge with one O(7)Ho2Zr2 tetrahedra,  an edgeedge with one O(9)Zr4 tetrahedra, and edges with four equivalent O(5)Zr4 tetrahedra. In the second O site, O(2) is bonded to two equivalent Zr(2) and two equivalent Zr(3) atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the third O site, O(3) is bonded to two equivalent Zr(3) and two equivalent Zr(4) atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the fourth O site, O(4) is bonded to four equivalent Zr(4) atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the fifth O site, O(5) is bonded to two equivalent Zr(1) and two equivalent Zr(2) atoms to form OZr4 tetrahedra that share corners with two equivalent O(6)Ho2Zr2 tetrahedra, corners with two equivalent O(2)Zr4 tetrahedra, corners with four equivalent O(7)Ho2Zr2 tetrahedra, corners with four equivalent O(5)Zr4 tetrahedra, corners with four equivalent O(9)Zr4 tetrahedra,  an edgeedge with one O(6)Ho2Zr2 tetrahedra,  an edgeedge with one O(2)Zr4 tetrahedra, and edges with four equivalent O(1)Zr4 tetrahedra. In the sixth O site, O(6) is bonded to two equivalent Ho(1) and two equivalent Zr(1) atoms to form OHo2Zr2 tetrahedra that share corners with two equivalent O(8)Ho4 tetrahedra, corners with two equivalent O(5)Zr4 tetrahedra, corners with four equivalent O(6)Ho2Zr2 tetrahedra, corners with four equivalent O(1)Zr4 tetrahedra,  an edgeedge with one O(8)Ho4 tetrahedra,  an edgeedge with one O(5)Zr4 tetrahedra, and edges with four equivalent O(7)Ho2Zr2 tetrahedra. In the seventh O site, O(7) is bonded to two equivalent Ho(1) and two equivalent Zr(1) atoms to form OHo2Zr2 tetrahedra that share corners with two equivalent O(1)Zr4 tetrahedra, corners with four equivalent O(7)Ho2Zr2 tetrahedra, corners with four equivalent O(8)Ho4 tetrahedra, corners with four equivalent O(5)Zr4 tetrahedra,  an edgeedge with one O(1)Zr4 tetrahedra, and edges with four equivalent O(6)Ho2Zr2 tetrahedra. In the eighth O site, O(8) is bonded to four equivalent Ho(1) atoms to form OHo4 tetrahedra that share corners with four equivalent O(6)Ho2Zr2 tetrahedra, corners with four equivalent O(8)Ho4 tetrahedra, corners with eight equivalent O(7)Ho2Zr2 tetrahedra, and edges with two equivalent O(6)Ho2Zr2 tetrahedra. In the ninth O site, O(9) is bonded to two equivalent Zr(2) and two equivalent Zr(3) atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the tenth O site, O(10) is bonded to two equivalent Zr(3) and two equivalent Zr(4) atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the eleventh O site, O(11) is bonded to four equivalent Zr(4) atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra.