Ho3Y13O24 is Spinel-like structured and crystallizes in the triclinic P1 space group. There are three inequivalent Ho sites. In the first Ho site, Ho(1) is bonded to one O(15), one O(17), one O(20), one O(5), one O(7), and one O(9) atom to form HoO6 octahedra that share  a cornercorner with one Y(1)O6 octahedra,  a cornercorner with one Y(11)O6 octahedra,  a cornercorner with one Y(12)O6 octahedra,  a cornercorner with one Y(13)O6 octahedra,  a cornercorner with one Y(3)O6 octahedra,  a cornercorner with one Y(5)O6 octahedra,  an edgeedge with one Ho(3)O6 octahedra,  an edgeedge with one Y(10)O6 octahedra,  an edgeedge with one Y(4)O6 octahedra,  an edgeedge with one Y(6)O6 octahedra,  an edgeedge with one Y(8)O6 octahedra, and  an edgeedge with one Y(9)O6 octahedra. The corner-sharing octahedral tilt angles range from 55-56°. In the second Ho site, Ho(2) is bonded to one O(1), one O(10), one O(16), one O(19), one O(23), and one O(6) atom to form HoO6 octahedra that share  a cornercorner with one Ho(3)O6 octahedra,  a cornercorner with one Y(1)O6 octahedra,  a cornercorner with one Y(10)O6 octahedra,  a cornercorner with one Y(13)O6 octahedra,  a cornercorner with one Y(4)O6 octahedra,  a cornercorner with one Y(6)O6 octahedra,  an edgeedge with one Y(11)O6 octahedra,  an edgeedge with one Y(12)O6 octahedra,  an edgeedge with one Y(3)O6 octahedra,  an edgeedge with one Y(5)O6 octahedra,  an edgeedge with one Y(8)O6 octahedra, and  an edgeedge with one Y(9)O6 octahedra. The corner-sharing octahedral tilt angles range from 55-56°. In the third Ho site, Ho(3) is bonded to one O(12), one O(15), one O(17), one O(19), one O(21), and one O(24) atom to form distorted HoO6 octahedra that share  a cornercorner with one Ho(2)O6 octahedra,  a cornercorner with one Y(1)O6 octahedra,  a cornercorner with one Y(11)O6 octahedra,  a cornercorner with one Y(6)O6 octahedra,  a cornercorner with one Y(7)O6 octahedra,  a cornercorner with one Y(9)O6 octahedra,  an edgeedge with one Ho(1)O6 octahedra,  an edgeedge with one Y(10)O6 octahedra,  an edgeedge with one Y(13)O6 octahedra,  an edgeedge with one Y(2)O6 octahedra,  an edgeedge with one Y(5)O6 octahedra, and  an edgeedge with one Y(8)O6 octahedra. The corner-sharing octahedral tilt angles range from 54-56°. There are thirteen inequivalent Y sites. In the first Y site, Y(1) is bonded to one O(10), one O(15), one O(2), one O(22), one O(4), and one O(8) atom to form distorted YO6 octahedra that share  a cornercorner with one Ho(1)O6 octahedra,  a cornercorner with one Ho(2)O6 octahedra,  a cornercorner with one Ho(3)O6 octahedra,  a cornercorner with one Y(11)O6 octahedra,  a cornercorner with one Y(12)O6 octahedra,  a cornercorner with one Y(6)O6 octahedra,  an edgeedge with one Y(10)O6 octahedra,  an edgeedge with one Y(2)O6 octahedra,  an edgeedge with one Y(3)O6 octahedra,  an edgeedge with one Y(4)O6 octahedra,  an edgeedge with one Y(5)O6 octahedra, and  an edgeedge with one Y(7)O6 octahedra. The corner-sharing octahedral tilt angles range from 54-56°. In the second Y site, Y(2) is bonded to one O(12), one O(14), one O(2), one O(22), one O(24), and one O(3) atom to form YO6 octahedra that share  a cornercorner with one Y(10)O6 octahedra,  a cornercorner with one Y(12)O6 octahedra,  a cornercorner with one Y(3)O6 octahedra,  a cornercorner with one Y(6)O6 octahedra,  a cornercorner with one Y(8)O6 octahedra,  a cornercorner with one Y(9)O6 octahedra,  an edgeedge with one Ho(3)O6 octahedra,  an edgeedge with one Y(1)O6 octahedra,  an edgeedge with one Y(11)O6 octahedra,  an edgeedge with one Y(13)O6 octahedra,  an edgeedge with one Y(4)O6 octahedra, and  an edgeedge with one Y(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 56-57°. In the third Y site, Y(3) is bonded to one O(1), one O(11), one O(16), one O(20), one O(22), and one O(8) atom to form distorted YO6 octahedra that share  a cornercorner with one Ho(1)O6 octahedra,  a cornercorner with one Y(10)O6 octahedra,  a cornercorner with one Y(13)O6 octahedra,  a cornercorner with one Y(2)O6 octahedra,  a cornercorner with one Y(5)O6 octahedra,  a cornercorner with one Y(8)O6 octahedra,  an edgeedge with one Ho(2)O6 octahedra,  an edgeedge with one Y(1)O6 octahedra,  an edgeedge with one Y(11)O6 octahedra,  an edgeedge with one Y(6)O6 octahedra,  an edgeedge with one Y(7)O6 octahedra, and  an edgeedge with one Y(9)O6 octahedra. The corner-sharing octahedral tilt angles range from 54-56°. In the fourth Y site, Y(4) is bonded to one O(14), one O(2), one O(4), one O(6), one O(7), and one O(9) atom to form distorted YO6 octahedra that share  a cornercorner with one Ho(2)O6 octahedra,  a cornercorner with one Y(10)O6 octahedra,  a cornercorner with one Y(13)O6 octahedra,  a cornercorner with one Y(5)O6 octahedra,  a cornercorner with one Y(7)O6 octahedra,  a cornercorner with one Y(8)O6 octahedra,  an edgeedge with one Ho(1)O6 octahedra,  an edgeedge with one Y(1)O6 octahedra,  an edgeedge with one Y(11)O6 octahedra,  an edgeedge with one Y(2)O6 octahedra,  an edgeedge with one Y(6)O6 octahedra, and  an edgeedge with one Y(9)O6 octahedra. The corner-sharing octahedral tilt angles range from 54-56°. In the fifth Y site, Y(5) is bonded to one O(10), one O(12), one O(17), one O(18), one O(22), and one O(6) atom to form distorted YO6 octahedra that share  a cornercorner with one Ho(1)O6 octahedra,  a cornercorner with one Y(13)O6 octahedra,  a cornercorner with one Y(3)O6 octahedra,  a cornercorner with one Y(4)O6 octahedra,  a cornercorner with one Y(7)O6 octahedra,  a cornercorner with one Y(8)O6 octahedra,  an edgeedge with one Ho(2)O6 octahedra,  an edgeedge with one Ho(3)O6 octahedra,  an edgeedge with one Y(1)O6 octahedra,  an edgeedge with one Y(12)O6 octahedra,  an edgeedge with one Y(2)O6 octahedra, and  an edgeedge with one Y(9)O6 octahedra. The corner-sharing octahedral tilt angles range from 54-56°. In the sixth Y site, Y(6) is bonded to one O(1), one O(11), one O(2), one O(21), one O(5), and one O(9) atom to form distorted YO6 octahedra that share  a cornercorner with one Ho(2)O6 octahedra,  a cornercorner with one Ho(3)O6 octahedra,  a cornercorner with one Y(1)O6 octahedra,  a cornercorner with one Y(12)O6 octahedra,  a cornercorner with one Y(2)O6 octahedra,  a cornercorner with one Y(9)O6 octahedra,  an edgeedge with one Ho(1)O6 octahedra,  an edgeedge with one Y(13)O6 octahedra,  an edgeedge with one Y(3)O6 octahedra,  an edgeedge with one Y(4)O6 octahedra,  an edgeedge with one Y(7)O6 octahedra, and  an edgeedge with one Y(8)O6 octahedra. The corner-sharing octahedral tilt angles range from 54-56°. In the seventh Y site, Y(7) is bonded to one O(11), one O(13), one O(18), one O(21), one O(4), and one O(8) atom to form YO6 octahedra that share  a cornercorner with one Ho(3)O6 octahedra,  a cornercorner with one Y(11)O6 octahedra,  a cornercorner with one Y(4)O6 octahedra,  a cornercorner with one Y(5)O6 octahedra,  a cornercorner with one Y(8)O6 octahedra,  a cornercorner with one Y(9)O6 octahedra,  an edgeedge with one Y(1)O6 octahedra,  an edgeedge with one Y(10)O6 octahedra,  an edgeedge with one Y(12)O6 octahedra,  an edgeedge with one Y(13)O6 octahedra,  an edgeedge with one Y(3)O6 octahedra, and  an edgeedge with one Y(6)O6 octahedra. The corner-sharing octahedral tilt angles are 56°. In the eighth Y site, Y(8) is bonded to one O(11), one O(14), one O(17), one O(19), one O(23), and one O(5) atom to form distorted YO6 octahedra that share  a cornercorner with one Y(10)O6 octahedra,  a cornercorner with one Y(2)O6 octahedra,  a cornercorner with one Y(3)O6 octahedra,  a cornercorner with one Y(4)O6 octahedra,  a cornercorner with one Y(5)O6 octahedra,  a cornercorner with one Y(7)O6 octahedra,  an edgeedge with one Ho(1)O6 octahedra,  an edgeedge with one Ho(2)O6 octahedra,  an edgeedge with one Ho(3)O6 octahedra,  an edgeedge with one Y(11)O6 octahedra,  an edgeedge with one Y(12)O6 octahedra, and  an edgeedge with one Y(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 54-56°. In the ninth Y site, Y(9) is bonded to one O(1), one O(12), one O(13), one O(20), one O(6), and one O(7) atom to form distorted YO6 octahedra that share  a cornercorner with one Ho(3)O6 octahedra,  a cornercorner with one Y(11)O6 octahedra,  a cornercorner with one Y(12)O6 octahedra,  a cornercorner with one Y(2)O6 octahedra,  a cornercorner with one Y(6)O6 octahedra,  a cornercorner with one Y(7)O6 octahedra,  an edgeedge with one Ho(1)O6 octahedra,  an edgeedge with one Ho(2)O6 octahedra,  an edgeedge with one Y(10)O6 octahedra,  an edgeedge with one Y(3)O6 octahedra,  an edgeedge with one Y(4)O6 octahedra, and  an edgeedge with one Y(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 54-57°. In the tenth Y site, Y(10) is bonded to one O(13), one O(15), one O(20), one O(23), one O(24), and one O(4) atom to form distorted YO6 octahedra that share  a cornercorner with one Ho(2)O6 octahedra,  a cornercorner with one Y(13)O6 octahedra,  a cornercorner with one Y(2)O6 octahedra,  a cornercorner with one Y(3)O6 octahedra,  a cornercorner with one Y(4)O6 octahedra,  a cornercorner with one Y(8)O6 octahedra,  an edgeedge with one Ho(1)O6 octahedra,  an edgeedge with one Ho(3)O6 octahedra,  an edgeedge with one Y(1)O6 octahedra,  an edgeedge with one Y(12)O6 octahedra,  an edgeedge with one Y(7)O6 octahedra, and  an edgeedge with one Y(9)O6 octahedra. The corner-sharing octahedral tilt angles range from 55-56°. In the eleventh Y site, Y(11) is bonded to one O(14), one O(16), one O(19), one O(3), one O(7), and one O(8) atom to form distorted YO6 octahedra that share  a cornercorner with one Ho(1)O6 octahedra,  a cornercorner with one Ho(3)O6 octahedra,  a cornercorner with one Y(1)O6 octahedra,  a cornercorner with one Y(12)O6 octahedra,  a cornercorner with one Y(7)O6 octahedra,  a cornercorner with one Y(9)O6 octahedra,  an edgeedge with one Ho(2)O6 octahedra,  an edgeedge with one Y(13)O6 octahedra,  an edgeedge with one Y(2)O6 octahedra,  an edgeedge with one Y(3)O6 octahedra,  an edgeedge with one Y(4)O6 octahedra, and  an edgeedge with one Y(8)O6 octahedra. The corner-sharing octahedral tilt angles range from 54-56°. In the twelfth Y site, Y(12) is bonded to one O(10), one O(13), one O(18), one O(23), one O(3), and one O(5) atom to form distorted YO6 octahedra that share  a cornercorner with one Ho(1)O6 octahedra,  a cornercorner with one Y(1)O6 octahedra,  a cornercorner with one Y(11)O6 octahedra,  a cornercorner with one Y(2)O6 octahedra,  a cornercorner with one Y(6)O6 octahedra,  a cornercorner with one Y(9)O6 octahedra,  an edgeedge with one Ho(2)O6 octahedra,  an edgeedge with one Y(10)O6 octahedra,  an edgeedge with one Y(13)O6 octahedra,  an edgeedge with one Y(5)O6 octahedra,  an edgeedge with one Y(7)O6 octahedra, and  an edgeedge with one Y(8)O6 octahedra. The corner-sharing octahedral tilt angles range from 54-56°. In the thirteenth Y site, Y(13) is bonded to one O(16), one O(18), one O(21), one O(24), one O(3), and one O(9) atom to form distorted YO6 octahedra that share  a cornercorner with one Ho(1)O6 octahedra,  a cornercorner with one Ho(2)O6 octahedra,  a cornercorner with one Y(10)O6 octahedra,  a cornercorner with one Y(3)O6 octahedra,  a cornercorner with one Y(4)O6 octahedra,  a cornercorner with one Y(5)O6 octahedra,  an edgeedge with one Ho(3)O6 octahedra,  an edgeedge with one Y(11)O6 octahedra,  an edgeedge with one Y(12)O6 octahedra,  an edgeedge with one Y(2)O6 octahedra,  an edgeedge with one Y(6)O6 octahedra, and  an edgeedge with one Y(7)O6 octahedra. The corner-sharing octahedral tilt angles range from 54-55°. There are twenty-four inequivalent O sites. In the first O site, O(1) is bonded to one Ho(2), one Y(3), one Y(6), and one Y(9) atom to form OY3Ho trigonal pyramids that share  a cornercorner with one O(19)Y2Ho2 trigonal pyramid,  a cornercorner with one O(10)Y3Ho trigonal pyramid,  a cornercorner with one O(12)Y3Ho trigonal pyramid,  a cornercorner with one O(21)Y3Ho trigonal pyramid,  a cornercorner with one O(23)Y3Ho trigonal pyramid,  a cornercorner with one O(5)Y3Ho trigonal pyramid,  a cornercorner with one O(7)Y3Ho trigonal pyramid,  a cornercorner with one O(9)Y3Ho trigonal pyramid,  a cornercorner with one O(13)Y4 trigonal pyramid,  a cornercorner with one O(2)Y4 trigonal pyramid,  a cornercorner with one O(22)Y4 trigonal pyramid,  a cornercorner with one O(8)Y4 trigonal pyramid,  an edgeedge with one O(16)Y3Ho trigonal pyramid,  an edgeedge with one O(20)Y3Ho trigonal pyramid,  an edgeedge with one O(6)Y3Ho trigonal pyramid, and  an edgeedge with one O(11)Y4 trigonal pyramid. In the second O site, O(2) is bonded to one Y(1), one Y(2), one Y(4), and one Y(6) atom to form OY4 trigonal pyramids that share  a cornercorner with one O(15)Y2Ho2 trigonal pyramid,  a cornercorner with one O(1)Y3Ho trigonal pyramid,  a cornercorner with one O(10)Y3Ho trigonal pyramid,  a cornercorner with one O(12)Y3Ho trigonal pyramid,  a cornercorner with one O(21)Y3Ho trigonal pyramid,  a cornercorner with one O(24)Y3Ho trigonal pyramid,  a cornercorner with one O(5)Y3Ho trigonal pyramid,  a cornercorner with one O(6)Y3Ho trigonal pyramid,  a cornercorner with one O(7)Y3Ho trigonal pyramid,  a cornercorner with one O(11)Y4 trigonal pyramid,  a cornercorner with one O(3)Y4 trigonal pyramid,  a cornercorner with one O(8)Y4 trigonal pyramid,  an edgeedge with one O(9)Y3Ho trigonal pyramid,  an edgeedge with one O(14)Y4 trigonal pyramid,  an edgeedge with one O(22)Y4 trigonal pyramid, and  an edgeedge with one O(4)Y4 trigonal pyramid. In the third O site, O(3) is bonded to one Y(11), one Y(12), one Y(13), and one Y(2) atom to form OY4 trigonal pyramids that share  a cornercorner with one O(19)Y2Ho2 trigonal pyramid,  a cornercorner with one O(10)Y3Ho trigonal pyramid,  a cornercorner with one O(12)Y3Ho trigonal pyramid,  a cornercorner with one O(21)Y3Ho trigonal pyramid,  a cornercorner with one O(23)Y3Ho trigonal pyramid,  a cornercorner with one O(5)Y3Ho trigonal pyramid,  a cornercorner with one O(7)Y3Ho trigonal pyramid,  a cornercorner with one O(9)Y3Ho trigonal pyramid,  a cornercorner with one O(13)Y4 trigonal pyramid,  a cornercorner with one O(2)Y4 trigonal pyramid,  a cornercorner with one O(22)Y4 trigonal pyramid,  a cornercorner with one O(8)Y4 trigonal pyramid,  an edgeedge with one O(16)Y3Ho trigonal pyramid,  an edgeedge with one O(24)Y3Ho trigonal pyramid,  an edgeedge with one O(14)Y4 trigonal pyramid, and  an edgeedge with one O(18)Y4 trigonal pyramid. In the fourth O site, O(4) is bonded to one Y(1), one Y(10), one Y(4), and one Y(7) atom to form OY4 trigonal pyramids that share  a cornercorner with one O(10)Y3Ho trigonal pyramid,  a cornercorner with one O(20)Y3Ho trigonal pyramid,  a cornercorner with one O(21)Y3Ho trigonal pyramid,  a cornercorner with one O(23)Y3Ho trigonal pyramid,  a cornercorner with one O(24)Y3Ho trigonal pyramid,  a cornercorner with one O(6)Y3Ho trigonal pyramid,  a cornercorner with one O(7)Y3Ho trigonal pyramid,  a cornercorner with one O(9)Y3Ho trigonal pyramid,  a cornercorner with one O(11)Y4 trigonal pyramid,  a cornercorner with one O(14)Y4 trigonal pyramid,  a cornercorner with one O(18)Y4 trigonal pyramid,  a cornercorner with one O(22)Y4 trigonal pyramid,  an edgeedge with one O(15)Y2Ho2 trigonal pyramid,  an edgeedge with one O(13)Y4 trigonal pyramid,  an edgeedge with one O(2)Y4 trigonal pyramid, and  an edgeedge with one O(8)Y4 trigonal pyramid. In the fifth O site, O(5) is bonded to one Ho(1), one Y(12), one Y(6), and one Y(8) atom to form OY3Ho trigonal pyramids that share  a cornercorner with one O(15)Y2Ho2 trigonal pyramid,  a cornercorner with one O(19)Y2Ho2 trigonal pyramid,  a cornercorner with one O(1)Y3Ho trigonal pyramid,  a cornercorner with one O(10)Y3Ho trigonal pyramid,  a cornercorner with one O(20)Y3Ho trigonal pyramid,  a cornercorner with one O(21)Y3Ho trigonal pyramid,  a cornercorner with one O(7)Y3Ho trigonal pyramid,  a cornercorner with one O(13)Y4 trigonal pyramid,  a cornercorner with one O(14)Y4 trigonal pyramid,  a cornercorner with one O(18)Y4 trigonal pyramid,  a cornercorner with one O(2)Y4 trigonal pyramid,  a cornercorner with one O(3)Y4 trigonal pyramid,  an edgeedge with one O(17)Y2Ho2 trigonal pyramid,  an edgeedge with one O(23)Y3Ho trigonal pyramid,  an edgeedge with one O(9)Y3Ho trigonal pyramid, and  an edgeedge with one O(11)Y4 trigonal pyramid. In the sixth O site, O(6) is bonded to one Ho(2), one Y(4), one Y(5), and one Y(9) atom to form OY3Ho trigonal pyramids that share  a cornercorner with one O(17)Y2Ho2 trigonal pyramid,  a cornercorner with one O(19)Y2Ho2 trigonal pyramid,  a cornercorner with one O(16)Y3Ho trigonal pyramid,  a cornercorner with one O(20)Y3Ho trigonal pyramid,  a cornercorner with one O(23)Y3Ho trigonal pyramid,  a cornercorner with one O(9)Y3Ho trigonal pyramid,  a cornercorner with one O(13)Y4 trigonal pyramid,  a cornercorner with one O(14)Y4 trigonal pyramid,  a cornercorner with one O(18)Y4 trigonal pyramid,  a cornercorner with one O(2)Y4 trigonal pyramid,  a cornercorner with one O(22)Y4 trigonal pyramid,  a cornercorner with one O(4)Y4 trigonal pyramid,  an edgeedge with one O(1)Y3Ho trigonal pyramid,  an edgeedge with one O(10)Y3Ho trigonal pyramid,  an edgeedge with one O(12)Y3Ho trigonal pyramid, and  an edgeedge with one O(7)Y3Ho trigonal pyramid. In the seventh O site, O(7) is bonded to one Ho(1), one Y(11), one Y(4), and one Y(9) atom to form OY3Ho trigonal pyramids that share  a cornercorner with one O(15)Y2Ho2 trigonal pyramid,  a cornercorner with one O(17)Y2Ho2 trigonal pyramid,  a cornercorner with one O(19)Y2Ho2 trigonal pyramid,  a cornercorner with one O(1)Y3Ho trigonal pyramid,  a cornercorner with one O(12)Y3Ho trigonal pyramid,  a cornercorner with one O(16)Y3Ho trigonal pyramid,  a cornercorner with one O(5)Y3Ho trigonal pyramid,  a cornercorner with one O(13)Y4 trigonal pyramid,  a cornercorner with one O(2)Y4 trigonal pyramid,  a cornercorner with one O(3)Y4 trigonal pyramid,  a cornercorner with one O(4)Y4 trigonal pyramid,  a cornercorner with one O(8)Y4 trigonal pyramid,  an edgeedge with one O(20)Y3Ho trigonal pyramid,  an edgeedge with one O(6)Y3Ho trigonal pyramid,  an edgeedge with one O(9)Y3Ho trigonal pyramid, and  an edgeedge with one O(14)Y4 trigonal pyramid. In the eighth O site, O(8) is bonded to one Y(1), one Y(11), one Y(3), and one Y(7) atom to form OY4 trigonal pyramids that share  a cornercorner with one O(15)Y2Ho2 trigonal pyramid,  a cornercorner with one O(19)Y2Ho2 trigonal pyramid,  a cornercorner with one O(1)Y3Ho trigonal pyramid,  a cornercorner with one O(10)Y3Ho trigonal pyramid,  a cornercorner with one O(20)Y3Ho trigonal pyramid,  a cornercorner with one O(21)Y3Ho trigonal pyramid,  a cornercorner with one O(7)Y3Ho trigonal pyramid,  a cornercorner with one O(13)Y4 trigonal pyramid,  a cornercorner with one O(14)Y4 trigonal pyramid,  a cornercorner with one O(18)Y4 trigonal pyramid,  a cornercorner with one O(2)Y4 trigonal pyramid,  a cornercorner with one O(3)Y4 trigonal pyramid,  an edgeedge with one O(16)Y3Ho trigonal pyramid,  an edgeedge with one O(11)Y4 trigonal pyramid,  an edgeedge with one O(22)Y4 trigonal pyramid, and  an edgeedge with one O(4)Y4 trigonal pyramid. In the ninth O site, O(9) is bonded to one Ho(1), one Y(13), one Y(4), and one Y(6) atom to form OY3Ho trigonal pyramids that share  a cornercorner with one O(15)Y2Ho2 trigonal pyramid,  a cornercorner with one O(17)Y2Ho2 trigonal pyramid,  a cornercorner with one O(1)Y3Ho trigonal pyramid,  a cornercorner with one O(16)Y3Ho trigonal pyramid,  a cornercorner with one O(20)Y3Ho trigonal pyramid,  a cornercorner with one O(24)Y3Ho trigonal pyramid,  a cornercorner with one O(6)Y3Ho trigonal pyramid,  a cornercorner with one O(11)Y4 trigonal pyramid,  a cornercorner with one O(14)Y4 trigonal pyramid,  a cornercorner with one O(18)Y4 trigonal pyramid,  a cornercorner with one O(3)Y4 trigonal pyramid,  a cornercorner with one O(4)Y4 trigonal pyramid,  an edgeedge with one O(21)Y3Ho trigonal pyramid,  an edgeedge with one O(5)Y3Ho trigonal pyramid,  an edgeedge with one O(7)Y3Ho trigonal pyramid, and  an edgeedge with one O(2)Y4 trigonal pyramid. In the tenth O site, O(10) is bonded to one Ho(2), one Y(1), one Y(12), and one Y(5) atom to form OY3Ho trigonal pyramids that share  a cornercorner with one O(15)Y2Ho2 trigonal pyramid,  a cornercorner with one O(17)Y2Ho2 trigonal pyramid,  a cornercorner with one O(19)Y2Ho2 trigonal pyramid,  a cornercorner with one O(1)Y3Ho trigonal pyramid,  a cornercorner with one O(12)Y3Ho trigonal pyramid,  a cornercorner with one O(16)Y3Ho trigonal pyramid,  a cornercorner with one O(5)Y3Ho trigonal pyramid,  a cornercorner with one O(13)Y4 trigonal pyramid,  a cornercorner with one O(2)Y4 trigonal pyramid,  a cornercorner with one O(3)Y4 trigonal pyramid,  a cornercorner with one O(4)Y4 trigonal pyramid,  a cornercorner with one O(8)Y4 trigonal pyramid,  an edgeedge with one O(23)Y3Ho trigonal pyramid,  an edgeedge with one O(6)Y3Ho trigonal pyramid,  an edgeedge with one O(18)Y4 trigonal pyramid, and  an edgeedge with one O(22)Y4 trigonal pyramid. In the eleventh O site, O(11) is bonded to one Y(3), one Y(6), one Y(7), and one Y(8) atom to form OY4 trigonal pyramids that share  a cornercorner with one O(17)Y2Ho2 trigonal pyramid,  a cornercorner with one O(19)Y2Ho2 trigonal pyramid,  a cornercorner with one O(16)Y3Ho trigonal pyramid,  a cornercorner with one O(20)Y3Ho trigonal pyramid,  a cornercorner with one O(23)Y3Ho trigonal pyramid,  a cornercorner with one O(9)Y3Ho trigonal pyramid,  a cornercorner with one O(13)Y4 trigonal pyramid,  a cornercorner with one O(14)Y4 trigonal pyramid,  a cornercorner with one O(18)Y4 trigonal pyramid,  a cornercorner with one O(2)Y4 trigonal pyramid,  a cornercorner with one O(22)Y4 trigonal pyramid,  a cornercorner with one O(4)Y4 trigonal pyramid,  an edgeedge with one O(1)Y3Ho trigonal pyramid,  an edgeedge with one O(21)Y3Ho trigonal pyramid,  an edgeedge with one O(5)Y3Ho trigonal pyramid, and  an edgeedge with one O(8)Y4 trigonal pyramid. In the twelfth O site, O(12) is bonded to one Ho(3), one Y(2), one Y(5), and one Y(9) atom to form OY3Ho trigonal pyramids that share  a cornercorner with one O(15)Y2Ho2 trigonal pyramid,  a cornercorner with one O(19)Y2Ho2 trigonal pyramid,  a cornercorner with one O(1)Y3Ho trigonal pyramid,  a cornercorner with one O(10)Y3Ho trigonal pyramid,  a cornercorner with one O(20)Y3Ho trigonal pyramid,  a cornercorner with one O(21)Y3Ho trigonal pyramid,  a cornercorner with one O(7)Y3Ho trigonal pyramid,  a cornercorner with one O(13)Y4 trigonal pyramid,  a cornercorner with one O(14)Y4 trigonal pyramid,  a cornercorner with one O(18)Y4 trigonal pyramid,  a cornercorner with one O(2)Y4 trigonal pyramid,  a cornercorner with one O(3)Y4 trigonal pyramid,  an edgeedge with one O(17)Y2Ho2 trigonal pyramid,  an edgeedge with one O(24)Y3Ho trigonal pyramid,  an edgeedge with one O(6)Y3Ho trigonal pyramid, and  an edgeedge with one O(22)Y4 trigonal pyramid. In the thirteenth O site, O(13) is bonded to one Y(10), one Y(12), one Y(7), and one Y(9) atom to form OY4 trigonal pyramids that share  a cornercorner with one O(15)Y2Ho2 trigonal pyramid,  a cornercorner with one O(1)Y3Ho trigonal pyramid,  a cornercorner with one O(10)Y3Ho trigonal pyramid,  a cornercorner with one O(12)Y3Ho trigonal pyramid,  a cornercorner with one O(21)Y3Ho trigonal pyramid,  a cornercorner with one O(24)Y3Ho trigonal pyramid,  a cornercorner with one O(5)Y3Ho trigonal pyramid,  a cornercorner with one O(6)Y3Ho trigonal pyramid,  a cornercorner with one O(7)Y3Ho trigonal pyramid,  a cornercorner with one O(11)Y4 trigonal pyramid,  a cornercorner with one O(3)Y4 trigonal pyramid,  a cornercorner with one O(8)Y4 trigonal pyramid,  an edgeedge with one O(20)Y3Ho trigonal pyramid,  an edgeedge with one O(23)Y3Ho trigonal pyramid,  an edgeedge with one O(18)Y4 trigonal pyramid, and  an edgeedge with one O(4)Y4 trigonal pyramid. In the fourteenth O site, O(14) is bonded to one Y(11), one Y(2), one Y(4), and one Y(8) atom to form OY4 trigonal pyramids that share  a cornercorner with one O(17)Y2Ho2 trigonal pyramid,  a cornercorner with one O(12)Y3Ho trigonal pyramid,  a cornercorner with one O(16)Y3Ho trigonal pyramid,  a cornercorner with one O(23)Y3Ho trigonal pyramid,  a cornercorner with one O(24)Y3Ho trigonal pyramid,  a cornercorner with one O(5)Y3Ho trigonal pyramid,  a cornercorner with one O(6)Y3Ho trigonal pyramid,  a cornercorner with one O(9)Y3Ho trigonal pyramid,  a cornercorner with one O(11)Y4 trigonal pyramid,  a cornercorner with one O(22)Y4 trigonal pyramid,  a cornercorner with one O(4)Y4 trigonal pyramid,  a cornercorner with one O(8)Y4 trigonal pyramid,  an edgeedge with one O(19)Y2Ho2 trigonal pyramid,  an edgeedge with one O(7)Y3Ho trigonal pyramid,  an edgeedge with one O(2)Y4 trigonal pyramid, and  an edgeedge with one O(3)Y4 trigonal pyramid. In the fifteenth O site, O(15) is bonded to one Ho(1), one Ho(3), one Y(1), and one Y(10) atom to form OY2Ho2 trigonal pyramids that share  a cornercorner with one O(19)Y2Ho2 trigonal pyramid,  a cornercorner with one O(10)Y3Ho trigonal pyramid,  a cornercorner with one O(12)Y3Ho trigonal pyramid,  a cornercorner with one O(21)Y3Ho trigonal pyramid,  a cornercorner with one O(23)Y3Ho trigonal pyramid,  a cornercorner with one O(5)Y3Ho trigonal pyramid,  a cornercorner with one O(7)Y3Ho trigonal pyramid,  a cornercorner with one O(9)Y3Ho trigonal pyramid,  a cornercorner with one O(13)Y4 trigonal pyramid,  a cornercorner with one O(2)Y4 trigonal pyramid,  a cornercorner with one O(22)Y4 trigonal pyramid,  a cornercorner with one O(8)Y4 trigonal pyramid,  an edgeedge with one O(17)Y2Ho2 trigonal pyramid,  an edgeedge with one O(20)Y3Ho trigonal pyramid,  an edgeedge with one O(24)Y3Ho trigonal pyramid, and  an edgeedge with one O(4)Y4 trigonal pyramid. In the sixteenth O site, O(16) is bonded to one Ho(2), one Y(11), one Y(13), and one Y(3) atom to form OY3Ho trigonal pyramids that share  a cornercorner with one O(10)Y3Ho trigonal pyramid,  a cornercorner with one O(20)Y3Ho trigonal pyramid,  a cornercorner with one O(21)Y3Ho trigonal pyramid,  a cornercorner with one O(23)Y3Ho trigonal pyramid,  a cornercorner with one O(24)Y3Ho trigonal pyramid,  a cornercorner with one O(6)Y3Ho trigonal pyramid,  a cornercorner with one O(7)Y3Ho trigonal pyramid,  a cornercorner with one O(9)Y3Ho trigonal pyramid,  a cornercorner with one O(11)Y4 trigonal pyramid,  a cornercorner with one O(14)Y4 trigonal pyramid,  a cornercorner with one O(18)Y4 trigonal pyramid,  a cornercorner with one O(22)Y4 trigonal pyramid,  an edgeedge with one O(19)Y2Ho2 trigonal pyramid,  an edgeedge with one O(1)Y3Ho trigonal pyramid,  an edgeedge with one O(3)Y4 trigonal pyramid, and  an edgeedge with one O(8)Y4 trigonal pyramid. In the seventeenth O site, O(17) is bonded to one Ho(1), one Ho(3), one Y(5), and one Y(8) atom to form OY2Ho2 trigonal pyramids that share  a cornercorner with one O(10)Y3Ho trigonal pyramid,  a cornercorner with one O(20)Y3Ho trigonal pyramid,  a cornercorner with one O(21)Y3Ho trigonal pyramid,  a cornercorner with one O(23)Y3Ho trigonal pyramid,  a cornercorner with one O(24)Y3Ho trigonal pyramid,  a cornercorner with one O(6)Y3Ho trigonal pyramid,  a cornercorner with one O(7)Y3Ho trigonal pyramid,  a cornercorner with one O(9)Y3Ho trigonal pyramid,  a cornercorner with one O(11)Y4 trigonal pyramid,  a cornercorner with one O(14)Y4 trigonal pyramid,  a cornercorner with one O(18)Y4 trigonal pyramid,  a cornercorner with one O(22)Y4 trigonal pyramid,  an edgeedge with one O(15)Y2Ho2 trigonal pyramid,  an edgeedge with one O(19)Y2Ho2 trigonal pyramid,  an edgeedge with one O(12)Y3Ho trigonal pyramid, and  an edgeedge with one O(5)Y3Ho trigonal pyramid. In the eighteenth O site, O(18) is bonded to one Y(12), one Y(13), one Y(5), and one Y(7) atom to form OY4 trigonal pyramids that share  a cornercorner with one O(17)Y2Ho2 trigonal pyramid,  a cornercorner with one O(12)Y3Ho trigonal pyramid,  a cornercorner with one O(16)Y3Ho trigonal pyramid,  a cornercorner with one O(23)Y3Ho trigonal pyramid,  a cornercorner with one O(24)Y3Ho trigonal pyramid,  a cornercorner with one O(5)Y3Ho trigonal pyramid,  a cornercorner with one O(6)Y3Ho trigonal pyramid,  a cornercorner with one O(9)Y3Ho trigonal pyramid,  a cornercorner with one O(11)Y4 trigonal pyramid,  a cornercorner with one O(22)Y4 trigonal pyramid,  a cornercorner with one O(4)Y4 trigonal pyramid,  a cornercorner with one O(8)Y4 trigonal pyramid,  an edgeedge with one O(10)Y3Ho trigonal pyramid,  an edgeedge with one O(21)Y3Ho trigonal pyramid,  an edgeedge with one O(13)Y4 trigonal pyramid, and  an edgeedge with one O(3)Y4 trigonal pyramid. In the nineteenth O site, O(19) is bonded to one Ho(2), one Ho(3), one Y(11), and one Y(8) atom to form OY2Ho2 trigonal pyramids that share  a cornercorner with one O(15)Y2Ho2 trigonal pyramid,  a cornercorner with one O(1)Y3Ho trigonal pyramid,  a cornercorner with one O(10)Y3Ho trigonal pyramid,  a cornercorner with one O(12)Y3Ho trigonal pyramid,  a cornercorner with one O(21)Y3Ho trigonal pyramid,  a cornercorner with one O(24)Y3Ho trigonal pyramid,  a cornercorner with one O(5)Y3Ho trigonal pyramid,  a cornercorner with one O(6)Y3Ho trigonal pyramid,  a cornercorner with one O(7)Y3Ho trigonal pyramid,  a cornercorner with one O(11)Y4 trigonal pyramid,  a cornercorner with one O(3)Y4 trigonal pyramid,  a cornercorner with one O(8)Y4 trigonal pyramid,  an edgeedge with one O(17)Y2Ho2 trigonal pyramid,  an edgeedge with one O(16)Y3Ho trigonal pyramid,  an edgeedge with one O(23)Y3Ho trigonal pyramid, and  an edgeedge with one O(14)Y4 trigonal pyramid. In the twentieth O site, O(20) is bonded to one Ho(1), one Y(10), one Y(3), and one Y(9) atom to form OY3Ho trigonal pyramids that share  a cornercorner with one O(17)Y2Ho2 trigonal pyramid,  a cornercorner with one O(12)Y3Ho trigonal pyramid,  a cornercorner with one O(16)Y3Ho trigonal pyramid,  a cornercorner with one O(23)Y3Ho trigonal pyramid,  a cornercorner with one O(24)Y3Ho trigonal pyramid,  a cornercorner with one O(5)Y3Ho trigonal pyramid,  a cornercorner with one O(6)Y3Ho trigonal pyramid,  a cornercorner with one O(9)Y3Ho trigonal pyramid,  a cornercorner with one O(11)Y4 trigonal pyramid,  a cornercorner with one O(22)Y4 trigonal pyramid,  a cornercorner with one O(4)Y4 trigonal pyramid,  a cornercorner with one O(8)Y4 trigonal pyramid,  an edgeedge with one O(15)Y2Ho2 trigonal pyramid,  an edgeedge with one O(1)Y3Ho trigonal pyramid,  an edgeedge with one O(7)Y3Ho trigonal pyramid, and  an edgeedge with one O(13)Y4 trigonal pyramid. In the twenty-first O site, O(21) is bonded to one Ho(3), one Y(13), one Y(6), and one Y(7) atom to form OY3Ho trigonal pyramids that share  a cornercorner with one O(15)Y2Ho2 trigonal pyramid,  a cornercorner with one O(17)Y2Ho2 trigonal pyramid,  a cornercorner with one O(19)Y2Ho2 trigonal pyramid,  a cornercorner with one O(1)Y3Ho trigonal pyramid,  a cornercorner with one O(12)Y3Ho trigonal pyramid,  a cornercorner with one O(16)Y3Ho trigonal pyramid,  a cornercorner with one O(5)Y3Ho trigonal pyramid,  a cornercorner with one O(13)Y4 trigonal pyramid,  a cornercorner with one O(2)Y4 trigonal pyramid,  a cornercorner with one O(3)Y4 trigonal pyramid,  a cornercorner with one O(4)Y4 trigonal pyramid,  a cornercorner with one O(8)Y4 trigonal pyramid,  an edgeedge with one O(24)Y3Ho trigonal pyramid,  an edgeedge with one O(9)Y3Ho trigonal pyramid,  an edgeedge with one O(11)Y4 trigonal pyramid, and  an edgeedge with one O(18)Y4 trigonal pyramid. In the twenty-second O site, O(22) is bonded to one Y(1), one Y(2), one Y(3), and one Y(5) atom to form OY4 trigonal pyramids that share  a cornercorner with one O(15)Y2Ho2 trigonal pyramid,  a cornercorner with one O(17)Y2Ho2 trigonal pyramid,  a cornercorner with one O(1)Y3Ho trigonal pyramid,  a cornercorner with one O(16)Y3Ho trigonal pyramid,  a cornercorner with one O(20)Y3Ho trigonal pyramid,  a cornercorner with one O(24)Y3Ho trigonal pyramid,  a cornercorner with one O(6)Y3Ho trigonal pyramid,  a cornercorner with one O(11)Y4 trigonal pyramid,  a cornercorner with one O(14)Y4 trigonal pyramid,  a cornercorner with one O(18)Y4 trigonal pyramid,  a cornercorner with one O(3)Y4 trigonal pyramid,  a cornercorner with one O(4)Y4 trigonal pyramid,  an edgeedge with one O(10)Y3Ho trigonal pyramid,  an edgeedge with one O(12)Y3Ho trigonal pyramid,  an edgeedge with one O(2)Y4 trigonal pyramid, and  an edgeedge with one O(8)Y4 trigonal pyramid. In the twenty-third O site, O(23) is bonded to one Ho(2), one Y(10), one Y(12), and one Y(8) atom to form OY3Ho trigonal pyramids that share  a cornercorner with one O(15)Y2Ho2 trigonal pyramid,  a cornercorner with one O(17)Y2Ho2 trigonal pyramid,  a cornercorner with one O(1)Y3Ho trigonal pyramid,  a cornercorner with one O(16)Y3Ho trigonal pyramid,  a cornercorner with one O(20)Y3Ho trigonal pyramid,  a cornercorner with one O(24)Y3Ho trigonal pyramid,  a cornercorner with one O(6)Y3Ho trigonal pyramid,  a cornercorner with one O(11)Y4 trigonal pyramid,  a cornercorner with one O(14)Y4 trigonal pyramid,  a cornercorner with one O(18)Y4 trigonal pyramid,  a cornercorner with one O(3)Y4 trigonal pyramid,  a cornercorner with one O(4)Y4 trigonal pyramid,  an edgeedge with one O(19)Y2Ho2 trigonal pyramid,  an edgeedge with one O(10)Y3Ho trigonal pyramid,  an edgeedge with one O(5)Y3Ho trigonal pyramid, and  an edgeedge with one O(13)Y4 trigonal pyramid. In the twenty-fourth O site, O(24) is bonded to one Ho(3), one Y(10), one Y(13), and one Y(2) atom to form OY3Ho trigonal pyramids that share  a cornercorner with one O(17)Y2Ho2 trigonal pyramid,  a cornercorner with one O(19)Y2Ho2 trigonal pyramid,  a cornercorner with one O(16)Y3Ho trigonal pyramid,  a cornercorner with one O(20)Y3Ho trigonal pyramid,  a cornercorner with one O(23)Y3Ho trigonal pyramid,  a cornercorner with one O(9)Y3Ho trigonal pyramid,  a cornercorner with one O(13)Y4 trigonal pyramid,  a cornercorner with one O(14)Y4 trigonal pyramid,  a cornercorner with one O(18)Y4 trigonal pyramid,  a cornercorner with one O(2)Y4 trigonal pyramid,  a cornercorner with one O(22)Y4 trigonal pyramid,  a cornercorner with one O(4)Y4 trigonal pyramid,  an edgeedge with one O(15)Y2Ho2 trigonal pyramid,  an edgeedge with one O(12)Y3Ho trigonal pyramid,  an edgeedge with one O(21)Y3Ho trigonal pyramid, and  an edgeedge with one O(3)Y4 trigonal pyramid.
Ho3Y13O24 is Spinel-like structured and crystallizes in the triclinic P1 space group. There are three inequivalent Ho sites. In the first Ho site, Ho(1) is bonded to one O(15), one O(17), one O(20), one O(5), one O(7), and one O(9) atom to form HoO6 octahedra that share  a cornercorner with one Y(1)O6 octahedra,  a cornercorner with one Y(11)O6 octahedra,  a cornercorner with one Y(12)O6 octahedra,  a cornercorner with one Y(13)O6 octahedra,  a cornercorner with one Y(3)O6 octahedra,  a cornercorner with one Y(5)O6 octahedra,  an edgeedge with one Ho(3)O6 octahedra,  an edgeedge with one Y(10)O6 octahedra,  an edgeedge with one Y(4)O6 octahedra,  an edgeedge with one Y(6)O6 octahedra,  an edgeedge with one Y(8)O6 octahedra, and  an edgeedge with one Y(9)O6 octahedra. The corner-sharing octahedral tilt angles range from 55-56°. The Ho(1)-O(15) bond length is 2.27 Å. The Ho(1)-O(17) bond length is 2.27 Å. The Ho(1)-O(20) bond length is 2.27 Å. The Ho(1)-O(5) bond length is 2.27 Å. The Ho(1)-O(7) bond length is 2.27 Å. The Ho(1)-O(9) bond length is 2.27 Å. In the second Ho site, Ho(2) is bonded to one O(1), one O(10), one O(16), one O(19), one O(23), and one O(6) atom to form HoO6 octahedra that share  a cornercorner with one Ho(3)O6 octahedra,  a cornercorner with one Y(1)O6 octahedra,  a cornercorner with one Y(10)O6 octahedra,  a cornercorner with one Y(13)O6 octahedra,  a cornercorner with one Y(4)O6 octahedra,  a cornercorner with one Y(6)O6 octahedra,  an edgeedge with one Y(11)O6 octahedra,  an edgeedge with one Y(12)O6 octahedra,  an edgeedge with one Y(3)O6 octahedra,  an edgeedge with one Y(5)O6 octahedra,  an edgeedge with one Y(8)O6 octahedra, and  an edgeedge with one Y(9)O6 octahedra. The corner-sharing octahedral tilt angles range from 55-56°. The Ho(2)-O(1) bond length is 2.27 Å. The Ho(2)-O(10) bond length is 2.27 Å. The Ho(2)-O(16) bond length is 2.27 Å. The Ho(2)-O(19) bond length is 2.27 Å. The Ho(2)-O(23) bond length is 2.27 Å. The Ho(2)-O(6) bond length is 2.27 Å. In the third Ho site, Ho(3) is bonded to one O(12), one O(15), one O(17), one O(19), one O(21), and one O(24) atom to form distorted HoO6 octahedra that share  a cornercorner with one Ho(2)O6 octahedra,  a cornercorner with one Y(1)O6 octahedra,  a cornercorner with one Y(11)O6 octahedra,  a cornercorner with one Y(6)O6 octahedra,  a cornercorner with one Y(7)O6 octahedra,  a cornercorner with one Y(9)O6 octahedra,  an edgeedge with one Ho(1)O6 octahedra,  an edgeedge with one Y(10)O6 octahedra,  an edgeedge with one Y(13)O6 octahedra,  an edgeedge with one Y(2)O6 octahedra,  an edgeedge with one Y(5)O6 octahedra, and  an edgeedge with one Y(8)O6 octahedra. The corner-sharing octahedral tilt angles range from 54-56°. The Ho(3)-O(12) bond length is 2.25 Å. The Ho(3)-O(15) bond length is 2.25 Å. The Ho(3)-O(17) bond length is 2.33 Å. The Ho(3)-O(19) bond length is 2.23 Å. The Ho(3)-O(21) bond length is 2.24 Å. The Ho(3)-O(24) bond length is 2.32 Å. There are thirteen inequivalent Y sites. In the first Y site, Y(1) is bonded to one O(10), one O(15), one O(2), one O(22), one O(4), and one O(8) atom to form distorted YO6 octahedra that share  a cornercorner with one Ho(1)O6 octahedra,  a cornercorner with one Ho(2)O6 octahedra,  a cornercorner with one Ho(3)O6 octahedra,  a cornercorner with one Y(11)O6 octahedra,  a cornercorner with one Y(12)O6 octahedra,  a cornercorner with one Y(6)O6 octahedra,  an edgeedge with one Y(10)O6 octahedra,  an edgeedge with one Y(2)O6 octahedra,  an edgeedge with one Y(3)O6 octahedra,  an edgeedge with one Y(4)O6 octahedra,  an edgeedge with one Y(5)O6 octahedra, and  an edgeedge with one Y(7)O6 octahedra. The corner-sharing octahedral tilt angles range from 54-56°. The Y(1)-O(10) bond length is 2.24 Å. The Y(1)-O(15) bond length is 2.25 Å. The Y(1)-O(2) bond length is 2.27 Å. The Y(1)-O(22) bond length is 2.34 Å. The Y(1)-O(4) bond length is 2.33 Å. The Y(1)-O(8) bond length is 2.27 Å. In the second Y site, Y(2) is bonded to one O(12), one O(14), one O(2), one O(22), one O(24), and one O(3) atom to form YO6 octahedra that share  a cornercorner with one Y(10)O6 octahedra,  a cornercorner with one Y(12)O6 octahedra,  a cornercorner with one Y(3)O6 octahedra,  a cornercorner with one Y(6)O6 octahedra,  a cornercorner with one Y(8)O6 octahedra,  a cornercorner with one Y(9)O6 octahedra,  an edgeedge with one Ho(3)O6 octahedra,  an edgeedge with one Y(1)O6 octahedra,  an edgeedge with one Y(11)O6 octahedra,  an edgeedge with one Y(13)O6 octahedra,  an edgeedge with one Y(4)O6 octahedra, and  an edgeedge with one Y(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 56-57°. The Y(2)-O(12) bond length is 2.29 Å. The Y(2)-O(14) bond length is 2.29 Å. The Y(2)-O(2) bond length is 2.28 Å. The Y(2)-O(22) bond length is 2.28 Å. The Y(2)-O(24) bond length is 2.28 Å. The Y(2)-O(3) bond length is 2.28 Å. In the third Y site, Y(3) is bonded to one O(1), one O(11), one O(16), one O(20), one O(22), and one O(8) atom to form distorted YO6 octahedra that share  a cornercorner with one Ho(1)O6 octahedra,  a cornercorner with one Y(10)O6 octahedra,  a cornercorner with one Y(13)O6 octahedra,  a cornercorner with one Y(2)O6 octahedra,  a cornercorner with one Y(5)O6 octahedra,  a cornercorner with one Y(8)O6 octahedra,  an edgeedge with one Ho(2)O6 octahedra,  an edgeedge with one Y(1)O6 octahedra,  an edgeedge with one Y(11)O6 octahedra,  an edgeedge with one Y(6)O6 octahedra,  an edgeedge with one Y(7)O6 octahedra, and  an edgeedge with one Y(9)O6 octahedra. The corner-sharing octahedral tilt angles range from 54-56°. The Y(3)-O(1) bond length is 2.33 Å. The Y(3)-O(11) bond length is 2.27 Å. The Y(3)-O(16) bond length is 2.27 Å. The Y(3)-O(20) bond length is 2.24 Å. The Y(3)-O(22) bond length is 2.25 Å. The Y(3)-O(8) bond length is 2.33 Å. In the fourth Y site, Y(4) is bonded to one O(14), one O(2), one O(4), one O(6), one O(7), and one O(9) atom to form distorted YO6 octahedra that share  a cornercorner with one Ho(2)O6 octahedra,  a cornercorner with one Y(10)O6 octahedra,  a cornercorner with one Y(13)O6 octahedra,  a cornercorner with one Y(5)O6 octahedra,  a cornercorner with one Y(7)O6 octahedra,  a cornercorner with one Y(8)O6 octahedra,  an edgeedge with one Ho(1)O6 octahedra,  an edgeedge with one Y(1)O6 octahedra,  an edgeedge with one Y(11)O6 octahedra,  an edgeedge with one Y(2)O6 octahedra,  an edgeedge with one Y(6)O6 octahedra, and  an edgeedge with one Y(9)O6 octahedra. The corner-sharing octahedral tilt angles range from 54-56°. The Y(4)-O(14) bond length is 2.27 Å. The Y(4)-O(2) bond length is 2.33 Å. The Y(4)-O(4) bond length is 2.25 Å. The Y(4)-O(6) bond length is 2.25 Å. The Y(4)-O(7) bond length is 2.33 Å. The Y(4)-O(9) bond length is 2.27 Å. In the fifth Y site, Y(5) is bonded to one O(10), one O(12), one O(17), one O(18), one O(22), and one O(6) atom to form distorted YO6 octahedra that share  a cornercorner with one Ho(1)O6 octahedra,  a cornercorner with one Y(13)O6 octahedra,  a cornercorner with one Y(3)O6 octahedra,  a cornercorner with one Y(4)O6 octahedra,  a cornercorner with one Y(7)O6 octahedra,  a cornercorner with one Y(8)O6 octahedra,  an edgeedge with one Ho(2)O6 octahedra,  an edgeedge with one Ho(3)O6 octahedra,  an edgeedge with one Y(1)O6 octahedra,  an edgeedge with one Y(12)O6 octahedra,  an edgeedge with one Y(2)O6 octahedra, and  an edgeedge with one Y(9)O6 octahedra. The corner-sharing octahedral tilt angles range from 54-56°. The Y(5)-O(10) bond length is 2.34 Å. The Y(5)-O(12) bond length is 2.33 Å. The Y(5)-O(17) bond length is 2.24 Å. The Y(5)-O(18) bond length is 2.24 Å. The Y(5)-O(22) bond length is 2.27 Å. The Y(5)-O(6) bond length is 2.27 Å. In the sixth Y site, Y(6) is bonded to one O(1), one O(11), one O(2), one O(21), one O(5), and one O(9) atom to form distorted YO6 octahedra that share  a cornercorner with one Ho(2)O6 octahedra,  a cornercorner with one Ho(3)O6 octahedra,  a cornercorner with one Y(1)O6 octahedra,  a cornercorner with one Y(12)O6 octahedra,  a cornercorner with one Y(2)O6 octahedra,  a cornercorner with one Y(9)O6 octahedra,  an edgeedge with one Ho(1)O6 octahedra,  an edgeedge with one Y(13)O6 octahedra,  an edgeedge with one Y(3)O6 octahedra,  an edgeedge with one Y(4)O6 octahedra,  an edgeedge with one Y(7)O6 octahedra, and  an edgeedge with one Y(8)O6 octahedra. The corner-sharing octahedral tilt angles range from 54-56°. The Y(6)-O(1) bond length is 2.25 Å. The Y(6)-O(11) bond length is 2.33 Å. The Y(6)-O(2) bond length is 2.24 Å. The Y(6)-O(21) bond length is 2.27 Å. The Y(6)-O(5) bond length is 2.27 Å. The Y(6)-O(9) bond length is 2.33 Å. In the seventh Y site, Y(7) is bonded to one O(11), one O(13), one O(18), one O(21), one O(4), and one O(8) atom to form YO6 octahedra that share  a cornercorner with one Ho(3)O6 octahedra,  a cornercorner with one Y(11)O6 octahedra,  a cornercorner with one Y(4)O6 octahedra,  a cornercorner with one Y(5)O6 octahedra,  a cornercorner with one Y(8)O6 octahedra,  a cornercorner with one Y(9)O6 octahedra,  an edgeedge with one Y(1)O6 octahedra,  an edgeedge with one Y(10)O6 octahedra,  an edgeedge with one Y(12)O6 octahedra,  an edgeedge with one Y(13)O6 octahedra,  an edgeedge with one Y(3)O6 octahedra, and  an edgeedge with one Y(6)O6 octahedra. The corner-sharing octahedral tilt angles are 56°. The Y(7)-O(11) bond length is 2.28 Å. The Y(7)-O(13) bond length is 2.28 Å. The Y(7)-O(18) bond length is 2.28 Å. The Y(7)-O(21) bond length is 2.28 Å. The Y(7)-O(4) bond length is 2.28 Å. The Y(7)-O(8) bond length is 2.28 Å. In the eighth Y site, Y(8) is bonded to one O(11), one O(14), one O(17), one O(19), one O(23), and one O(5) atom to form distorted YO6 octahedra that share  a cornercorner with one Y(10)O6 octahedra,  a cornercorner with one Y(2)O6 octahedra,  a cornercorner with one Y(3)O6 octahedra,  a cornercorner with one Y(4)O6 octahedra,  a cornercorner with one Y(5)O6 octahedra,  a cornercorner with one Y(7)O6 octahedra,  an edgeedge with one Ho(1)O6 octahedra,  an edgeedge with one Ho(2)O6 octahedra,  an edgeedge with one Ho(3)O6 octahedra,  an edgeedge with one Y(11)O6 octahedra,  an edgeedge with one Y(12)O6 octahedra, and  an edgeedge with one Y(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 54-56°. The Y(8)-O(11) bond length is 2.25 Å. The Y(8)-O(14) bond length is 2.25 Å. The Y(8)-O(17) bond length is 2.27 Å. The Y(8)-O(19) bond length is 2.34 Å. The Y(8)-O(23) bond length is 2.27 Å. The Y(8)-O(5) bond length is 2.33 Å. In the ninth Y site, Y(9) is bonded to one O(1), one O(12), one O(13), one O(20), one O(6), and one O(7) atom to form distorted YO6 octahedra that share  a cornercorner with one Ho(3)O6 octahedra,  a cornercorner with one Y(11)O6 octahedra,  a cornercorner with one Y(12)O6 octahedra,  a cornercorner with one Y(2)O6 octahedra,  a cornercorner with one Y(6)O6 octahedra,  a cornercorner with one Y(7)O6 octahedra,  an edgeedge with one Ho(1)O6 octahedra,  an edgeedge with one Ho(2)O6 octahedra,  an edgeedge with one Y(10)O6 octahedra,  an edgeedge with one Y(3)O6 octahedra,  an edgeedge with one Y(4)O6 octahedra, and  an edgeedge with one Y(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 54-57°. The Y(9)-O(1) bond length is 2.27 Å. The Y(9)-O(12) bond length is 2.25 Å. The Y(9)-O(13) bond length is 2.24 Å. The Y(9)-O(20) bond length is 2.33 Å. The Y(9)-O(6) bond length is 2.33 Å. The Y(9)-O(7) bond length is 2.27 Å. In the tenth Y site, Y(10) is bonded to one O(13), one O(15), one O(20), one O(23), one O(24), and one O(4) atom to form distorted YO6 octahedra that share  a cornercorner with one Ho(2)O6 octahedra,  a cornercorner with one Y(13)O6 octahedra,  a cornercorner with one Y(2)O6 octahedra,  a cornercorner with one Y(3)O6 octahedra,  a cornercorner with one Y(4)O6 octahedra,  a cornercorner with one Y(8)O6 octahedra,  an edgeedge with one Ho(1)O6 octahedra,  an edgeedge with one Ho(3)O6 octahedra,  an edgeedge with one Y(1)O6 octahedra,  an edgeedge with one Y(12)O6 octahedra,  an edgeedge with one Y(7)O6 octahedra, and  an edgeedge with one Y(9)O6 octahedra. The corner-sharing octahedral tilt angles range from 55-56°. The Y(10)-O(13) bond length is 2.33 Å. The Y(10)-O(15) bond length is 2.34 Å. The Y(10)-O(20) bond length is 2.27 Å. The Y(10)-O(23) bond length is 2.25 Å. The Y(10)-O(24) bond length is 2.24 Å. The Y(10)-O(4) bond length is 2.27 Å. In the eleventh Y site, Y(11) is bonded to one O(14), one O(16), one O(19), one O(3), one O(7), and one O(8) atom to form distorted YO6 octahedra that share  a cornercorner with one Ho(1)O6 octahedra,  a cornercorner with one Ho(3)O6 octahedra,  a cornercorner with one Y(1)O6 octahedra,  a cornercorner with one Y(12)O6 octahedra,  a cornercorner with one Y(7)O6 octahedra,  a cornercorner with one Y(9)O6 octahedra,  an edgeedge with one Ho(2)O6 octahedra,  an edgeedge with one Y(13)O6 octahedra,  an edgeedge with one Y(2)O6 octahedra,  an edgeedge with one Y(3)O6 octahedra,  an edgeedge with one Y(4)O6 octahedra, and  an edgeedge with one Y(8)O6 octahedra. The corner-sharing octahedral tilt angles range from 54-56°. The Y(11)-O(14) bond length is 2.33 Å. The Y(11)-O(16) bond length is 2.33 Å. The Y(11)-O(19) bond length is 2.27 Å. The Y(11)-O(3) bond length is 2.27 Å. The Y(11)-O(7) bond length is 2.25 Å. The Y(11)-O(8) bond length is 2.24 Å. In the twelfth Y site, Y(12) is bonded to one O(10), one O(13), one O(18), one O(23), one O(3), and one O(5) atom to form distorted YO6 octahedra that share  a cornercorner with one Ho(1)O6 octahedra,  a cornercorner with one Y(1)O6 octahedra,  a cornercorner with one Y(11)O6 octahedra,  a cornercorner with one Y(2)O6 octahedra,  a cornercorner with one Y(6)O6 octahedra,  a cornercorner with one Y(9)O6 octahedra,  an edgeedge with one Ho(2)O6 octahedra,  an edgeedge with one Y(10)O6 octahedra,  an edgeedge with one Y(13)O6 octahedra,  an edgeedge with one Y(5)O6 octahedra,  an edgeedge with one Y(7)O6 octahedra, and  an edgeedge with one Y(8)O6 octahedra. The corner-sharing octahedral tilt angles range from 54-56°. The Y(12)-O(10) bond length is 2.27 Å. The Y(12)-O(13) bond length is 2.27 Å. The Y(12)-O(18) bond length is 2.34 Å. The Y(12)-O(23) bond length is 2.34 Å. The Y(12)-O(3) bond length is 2.25 Å. The Y(12)-O(5) bond length is 2.24 Å. In the thirteenth Y site, Y(13) is bonded to one O(16), one O(18), one O(21), one O(24), one O(3), and one O(9) atom to form distorted YO6 octahedra that share  a cornercorner with one Ho(1)O6 octahedra,  a cornercorner with one Ho(2)O6 octahedra,  a cornercorner with one Y(10)O6 octahedra,  a cornercorner with one Y(3)O6 octahedra,  a cornercorner with one Y(4)O6 octahedra,  a cornercorner with one Y(5)O6 octahedra,  an edgeedge with one Ho(3)O6 octahedra,  an edgeedge with one Y(11)O6 octahedra,  an edgeedge with one Y(12)O6 octahedra,  an edgeedge with one Y(2)O6 octahedra,  an edgeedge with one Y(6)O6 octahedra, and  an edgeedge with one Y(7)O6 octahedra. The corner-sharing octahedral tilt angles range from 54-55°. The Y(13)-O(16) bond length is 2.25 Å. The Y(13)-O(18) bond length is 2.27 Å. The Y(13)-O(21) bond length is 2.34 Å. The Y(13)-O(24) bond length is 2.27 Å. The Y(13)-O(3) bond length is 2.33 Å. The Y(13)-O(9) bond length is 2.24 Å. There are twenty-four inequivalent O sites. In the first O site, O(1) is bonded to one Ho(2), one Y(3), one Y(6), and one Y(9) atom to form OY3Ho trigonal pyramids that share  a cornercorner with one O(19)Y2Ho2 trigonal pyramid,  a cornercorner with one O(10)Y3Ho trigonal pyramid,  a cornercorner with one O(12)Y3Ho trigonal pyramid,  a cornercorner with one O(21)Y3Ho trigonal pyramid,  a cornercorner with one O(23)Y3Ho trigonal pyramid,  a cornercorner with one O(5)Y3Ho trigonal pyramid,  a cornercorner with one O(7)Y3Ho trigonal pyramid,  a cornercorner with one O(9)Y3Ho trigonal pyramid,  a cornercorner with one O(13)Y4 trigonal pyramid,  a cornercorner with one O(2)Y4 trigonal pyramid,  a cornercorner with one O(22)Y4 trigonal pyramid,  a cornercorner with one O(8)Y4 trigonal pyramid,  an edgeedge with one O(16)Y3Ho trigonal pyramid,  an edgeedge with one O(20)Y3Ho trigonal pyramid,  an edgeedge with one O(6)Y3Ho trigonal pyramid, and  an edgeedge with one O(11)Y4 trigonal pyramid. In the second O site, O(2) is bonded to one Y(1), one Y(2), one Y(4), and one Y(6) atom to form OY4 trigonal pyramids that share  a cornercorner with one O(15)Y2Ho2 trigonal pyramid,  a cornercorner with one O(1)Y3Ho trigonal pyramid,  a cornercorner with one O(10)Y3Ho trigonal pyramid,  a cornercorner with one O(12)Y3Ho trigonal pyramid,  a cornercorner with one O(21)Y3Ho trigonal pyramid,  a cornercorner with one O(24)Y3Ho trigonal pyramid,  a cornercorner with one O(5)Y3Ho trigonal pyramid,  a cornercorner with one O(6)Y3Ho trigonal pyramid,  a cornercorner with one O(7)Y3Ho trigonal pyramid,  a cornercorner with one O(11)Y4 trigonal pyramid,  a cornercorner with one O(3)Y4 trigonal pyramid,  a cornercorner with one O(8)Y4 trigonal pyramid,  an edgeedge with one O(9)Y3Ho trigonal pyramid,  an edgeedge with one O(14)Y4 trigonal pyramid,  an edgeedge with one O(22)Y4 trigonal pyramid, and  an edgeedge with one O(4)Y4 trigonal pyramid. In the third O site, O(3) is bonded to one Y(11), one Y(12), one Y(13), and one Y(2) atom to form OY4 trigonal pyramids that share  a cornercorner with one O(19)Y2Ho2 trigonal pyramid,  a cornercorner with one O(10)Y3Ho trigonal pyramid,  a cornercorner with one O(12)Y3Ho trigonal pyramid,  a cornercorner with one O(21)Y3Ho trigonal pyramid,  a cornercorner with one O(23)Y3Ho trigonal pyramid,  a cornercorner with one O(5)Y3Ho trigonal pyramid,  a cornercorner with one O(7)Y3Ho trigonal pyramid,  a cornercorner with one O(9)Y3Ho trigonal pyramid,  a cornercorner with one O(13)Y4 trigonal pyramid,  a cornercorner with one O(2)Y4 trigonal pyramid,  a cornercorner with one O(22)Y4 trigonal pyramid,  a cornercorner with one O(8)Y4 trigonal pyramid,  an edgeedge with one O(16)Y3Ho trigonal pyramid,  an edgeedge with one O(24)Y3Ho trigonal pyramid,  an edgeedge with one O(14)Y4 trigonal pyramid, and  an edgeedge with one O(18)Y4 trigonal pyramid. In the fourth O site, O(4) is bonded to one Y(1), one Y(10), one Y(4), and one Y(7) atom to form OY4 trigonal pyramids that share  a cornercorner with one O(10)Y3Ho trigonal pyramid,  a cornercorner with one O(20)Y3Ho trigonal pyramid,  a cornercorner with one O(21)Y3Ho trigonal pyramid,  a cornercorner with one O(23)Y3Ho trigonal pyramid,  a cornercorner with one O(24)Y3Ho trigonal pyramid,  a cornercorner with one O(6)Y3Ho trigonal pyramid,  a cornercorner with one O(7)Y3Ho trigonal pyramid,  a cornercorner with one O(9)Y3Ho trigonal pyramid,  a cornercorner with one O(11)Y4 trigonal pyramid,  a cornercorner with one O(14)Y4 trigonal pyramid,  a cornercorner with one O(18)Y4 trigonal pyramid,  a cornercorner with one O(22)Y4 trigonal pyramid,  an edgeedge with one O(15)Y2Ho2 trigonal pyramid,  an edgeedge with one O(13)Y4 trigonal pyramid,  an edgeedge with one O(2)Y4 trigonal pyramid, and  an edgeedge with one O(8)Y4 trigonal pyramid. In the fifth O site, O(5) is bonded to one Ho(1), one Y(12), one Y(6), and one Y(8) atom to form OY3Ho trigonal pyramids that share  a cornercorner with one O(15)Y2Ho2 trigonal pyramid,  a cornercorner with one O(19)Y2Ho2 trigonal pyramid,  a cornercorner with one O(1)Y3Ho trigonal pyramid,  a cornercorner with one O(10)Y3Ho trigonal pyramid,  a cornercorner with one O(20)Y3Ho trigonal pyramid,  a cornercorner with one O(21)Y3Ho trigonal pyramid,  a cornercorner with one O(7)Y3Ho trigonal pyramid,  a cornercorner with one O(13)Y4 trigonal pyramid,  a cornercorner with one O(14)Y4 trigonal pyramid,  a cornercorner with one O(18)Y4 trigonal pyramid,  a cornercorner with one O(2)Y4 trigonal pyramid,  a cornercorner with one O(3)Y4 trigonal pyramid,  an edgeedge with one O(17)Y2Ho2 trigonal pyramid,  an edgeedge with one O(23)Y3Ho trigonal pyramid,  an edgeedge with one O(9)Y3Ho trigonal pyramid, and  an edgeedge with one O(11)Y4 trigonal pyramid. In the sixth O site, O(6) is bonded to one Ho(2), one Y(4), one Y(5), and one Y(9) atom to form OY3Ho trigonal pyramids that share  a cornercorner with one O(17)Y2Ho2 trigonal pyramid,  a cornercorner with one O(19)Y2Ho2 trigonal pyramid,  a cornercorner with one O(16)Y3Ho trigonal pyramid,  a cornercorner with one O(20)Y3Ho trigonal pyramid,  a cornercorner with one O(23)Y3Ho trigonal pyramid,  a cornercorner with one O(9)Y3Ho trigonal pyramid,  a cornercorner with one O(13)Y4 trigonal pyramid,  a cornercorner with one O(14)Y4 trigonal pyramid,  a cornercorner with one O(18)Y4 trigonal pyramid,  a cornercorner with one O(2)Y4 trigonal pyramid,  a cornercorner with one O(22)Y4 trigonal pyramid,  a cornercorner with one O(4)Y4 trigonal pyramid,  an edgeedge with one O(1)Y3Ho trigonal pyramid,  an edgeedge with one O(10)Y3Ho trigonal pyramid,  an edgeedge with one O(12)Y3Ho trigonal pyramid, and  an edgeedge with one O(7)Y3Ho trigonal pyramid. In the seventh O site, O(7) is bonded to one Ho(1), one Y(11), one Y(4), and one Y(9) atom to form OY3Ho trigonal pyramids that share  a cornercorner with one O(15)Y2Ho2 trigonal pyramid,  a cornercorner with one O(17)Y2Ho2 trigonal pyramid,  a cornercorner with one O(19)Y2Ho2 trigonal pyramid,  a cornercorner with one O(1)Y3Ho trigonal pyramid,  a cornercorner with one O(12)Y3Ho trigonal pyramid,  a cornercorner with one O(16)Y3Ho trigonal pyramid,  a cornercorner with one O(5)Y3Ho trigonal pyramid,  a cornercorner with one O(13)Y4 trigonal pyramid,  a cornercorner with one O(2)Y4 trigonal pyramid,  a cornercorner with one O(3)Y4 trigonal pyramid,  a cornercorner with one O(4)Y4 trigonal pyramid,  a cornercorner with one O(8)Y4 trigonal pyramid,  an edgeedge with one O(20)Y3Ho trigonal pyramid,  an edgeedge with one O(6)Y3Ho trigonal pyramid,  an edgeedge with one O(9)Y3Ho trigonal pyramid, and  an edgeedge with one O(14)Y4 trigonal pyramid. In the eighth O site, O(8) is bonded to one Y(1), one Y(11), one Y(3), and one Y(7) atom to form OY4 trigonal pyramids that share  a cornercorner with one O(15)Y2Ho2 trigonal pyramid,  a cornercorner with one O(19)Y2Ho2 trigonal pyramid,  a cornercorner with one O(1)Y3Ho trigonal pyramid,  a cornercorner with one O(10)Y3Ho trigonal pyramid,  a cornercorner with one O(20)Y3Ho trigonal pyramid,  a cornercorner with one O(21)Y3Ho trigonal pyramid,  a cornercorner with one O(7)Y3Ho trigonal pyramid,  a cornercorner with one O(13)Y4 trigonal pyramid,  a cornercorner with one O(14)Y4 trigonal pyramid,  a cornercorner with one O(18)Y4 trigonal pyramid,  a cornercorner with one O(2)Y4 trigonal pyramid,  a cornercorner with one O(3)Y4 trigonal pyramid,  an edgeedge with one O(16)Y3Ho trigonal pyramid,  an edgeedge with one O(11)Y4 trigonal pyramid,  an edgeedge with one O(22)Y4 trigonal pyramid, and  an edgeedge with one O(4)Y4 trigonal pyramid. In the ninth O site, O(9) is bonded to one Ho(1), one Y(13), one Y(4), and one Y(6) atom to form OY3Ho trigonal pyramids that share  a cornercorner with one O(15)Y2Ho2 trigonal pyramid,  a cornercorner with one O(17)Y2Ho2 trigonal pyramid,  a cornercorner with one O(1)Y3Ho trigonal pyramid,  a cornercorner with one O(16)Y3Ho trigonal pyramid,  a cornercorner with one O(20)Y3Ho trigonal pyramid,  a cornercorner with one O(24)Y3Ho trigonal pyramid,  a cornercorner with one O(6)Y3Ho trigonal pyramid,  a cornercorner with one O(11)Y4 trigonal pyramid,  a cornercorner with one O(14)Y4 trigonal pyramid,  a cornercorner with one O(18)Y4 trigonal pyramid,  a cornercorner with one O(3)Y4 trigonal pyramid,  a cornercorner with one O(4)Y4 trigonal pyramid,  an edgeedge with one O(21)Y3Ho trigonal pyramid,  an edgeedge with one O(5)Y3Ho trigonal pyramid,  an edgeedge with one O(7)Y3Ho trigonal pyramid, and  an edgeedge with one O(2)Y4 trigonal pyramid. In the tenth O site, O(10) is bonded to one Ho(2), one Y(1), one Y(12), and one Y(5) atom to form OY3Ho trigonal pyramids that share  a cornercorner with one O(15)Y2Ho2 trigonal pyramid,  a cornercorner with one O(17)Y2Ho2 trigonal pyramid,  a cornercorner with one O(19)Y2Ho2 trigonal pyramid,  a cornercorner with one O(1)Y3Ho trigonal pyramid,  a cornercorner with one O(12)Y3Ho trigonal pyramid,  a cornercorner with one O(16)Y3Ho trigonal pyramid,  a cornercorner with one O(5)Y3Ho trigonal pyramid,  a cornercorner with one O(13)Y4 trigonal pyramid,  a cornercorner with one O(2)Y4 trigonal pyramid,  a cornercorner with one O(3)Y4 trigonal pyramid,  a cornercorner with one O(4)Y4 trigonal pyramid,  a cornercorner with one O(8)Y4 trigonal pyramid,  an edgeedge with one O(23)Y3Ho trigonal pyramid,  an edgeedge with one O(6)Y3Ho trigonal pyramid,  an edgeedge with one O(18)Y4 trigonal pyramid, and  an edgeedge with one O(22)Y4 trigonal pyramid. In the eleventh O site, O(11) is bonded to one Y(3), one Y(6), one Y(7), and one Y(8) atom to form OY4 trigonal pyramids that share  a cornercorner with one O(17)Y2Ho2 trigonal pyramid,  a cornercorner with one O(19)Y2Ho2 trigonal pyramid,  a cornercorner with one O(16)Y3Ho trigonal pyramid,  a cornercorner with one O(20)Y3Ho trigonal pyramid,  a cornercorner with one O(23)Y3Ho trigonal pyramid,  a cornercorner with one O(9)Y3Ho trigonal pyramid,  a cornercorner with one O(13)Y4 trigonal pyramid,  a cornercorner with one O(14)Y4 trigonal pyramid,  a cornercorner with one O(18)Y4 trigonal pyramid,  a cornercorner with one O(2)Y4 trigonal pyramid,  a cornercorner with one O(22)Y4 trigonal pyramid,  a cornercorner with one O(4)Y4 trigonal pyramid,  an edgeedge with one O(1)Y3Ho trigonal pyramid,  an edgeedge with one O(21)Y3Ho trigonal pyramid,  an edgeedge with one O(5)Y3Ho trigonal pyramid, and  an edgeedge with one O(8)Y4 trigonal pyramid. In the twelfth O site, O(12) is bonded to one Ho(3), one Y(2), one Y(5), and one Y(9) atom to form OY3Ho trigonal pyramids that share  a cornercorner with one O(15)Y2Ho2 trigonal pyramid,  a cornercorner with one O(19)Y2Ho2 trigonal pyramid,  a cornercorner with one O(1)Y3Ho trigonal pyramid,  a cornercorner with one O(10)Y3Ho trigonal pyramid,  a cornercorner with one O(20)Y3Ho trigonal pyramid,  a cornercorner with one O(21)Y3Ho trigonal pyramid,  a cornercorner with one O(7)Y3Ho trigonal pyramid,  a cornercorner with one O(13)Y4 trigonal pyramid,  a cornercorner with one O(14)Y4 trigonal pyramid,  a cornercorner with one O(18)Y4 trigonal pyramid,  a cornercorner with one O(2)Y4 trigonal pyramid,  a cornercorner with one O(3)Y4 trigonal pyramid,  an edgeedge with one O(17)Y2Ho2 trigonal pyramid,  an edgeedge with one O(24)Y3Ho trigonal pyramid,  an edgeedge with one O(6)Y3Ho trigonal pyramid, and  an edgeedge with one O(22)Y4 trigonal pyramid. In the thirteenth O site, O(13) is bonded to one Y(10), one Y(12), one Y(7), and one Y(9) atom to form OY4 trigonal pyramids that share  a cornercorner with one O(15)Y2Ho2 trigonal pyramid,  a cornercorner with one O(1)Y3Ho trigonal pyramid,  a cornercorner with one O(10)Y3Ho trigonal pyramid,  a cornercorner with one O(12)Y3Ho trigonal pyramid,  a cornercorner with one O(21)Y3Ho trigonal pyramid,  a cornercorner with one O(24)Y3Ho trigonal pyramid,  a cornercorner with one O(5)Y3Ho trigonal pyramid,  a cornercorner with one O(6)Y3Ho trigonal pyramid,  a cornercorner with one O(7)Y3Ho trigonal pyramid,  a cornercorner with one O(11)Y4 trigonal pyramid,  a cornercorner with one O(3)Y4 trigonal pyramid,  a cornercorner with one O(8)Y4 trigonal pyramid,  an edgeedge with one O(20)Y3Ho trigonal pyramid,  an edgeedge with one O(23)Y3Ho trigonal pyramid,  an edgeedge with one O(18)Y4 trigonal pyramid, and  an edgeedge with one O(4)Y4 trigonal pyramid. In the fourteenth O site, O(14) is bonded to one Y(11), one Y(2), one Y(4), and one Y(8) atom to form OY4 trigonal pyramids that share  a cornercorner with one O(17)Y2Ho2 trigonal pyramid,  a cornercorner with one O(12)Y3Ho trigonal pyramid,  a cornercorner with one O(16)Y3Ho trigonal pyramid,  a cornercorner with one O(23)Y3Ho trigonal pyramid,  a cornercorner with one O(24)Y3Ho trigonal pyramid,  a cornercorner with one O(5)Y3Ho trigonal pyramid,  a cornercorner with one O(6)Y3Ho trigonal pyramid,  a cornercorner with one O(9)Y3Ho trigonal pyramid,  a cornercorner with one O(11)Y4 trigonal pyramid,  a cornercorner with one O(22)Y4 trigonal pyramid,  a cornercorner with one O(4)Y4 trigonal pyramid,  a cornercorner with one O(8)Y4 trigonal pyramid,  an edgeedge with one O(19)Y2Ho2 trigonal pyramid,  an edgeedge with one O(7)Y3Ho trigonal pyramid,  an edgeedge with one O(2)Y4 trigonal pyramid, and  an edgeedge with one O(3)Y4 trigonal pyramid. In the fifteenth O site, O(15) is bonded to one Ho(1), one Ho(3), one Y(1), and one Y(10) atom to form OY2Ho2 trigonal pyramids that share  a cornercorner with one O(19)Y2Ho2 trigonal pyramid,  a cornercorner with one O(10)Y3Ho trigonal pyramid,  a cornercorner with one O(12)Y3Ho trigonal pyramid,  a cornercorner with one O(21)Y3Ho trigonal pyramid,  a cornercorner with one O(23)Y3Ho trigonal pyramid,  a cornercorner with one O(5)Y3Ho trigonal pyramid,  a cornercorner with one O(7)Y3Ho trigonal pyramid,  a cornercorner with one O(9)Y3Ho trigonal pyramid,  a cornercorner with one O(13)Y4 trigonal pyramid,  a cornercorner with one O(2)Y4 trigonal pyramid,  a cornercorner with one O(22)Y4 trigonal pyramid,  a cornercorner with one O(8)Y4 trigonal pyramid,  an edgeedge with one O(17)Y2Ho2 trigonal pyramid,  an edgeedge with one O(20)Y3Ho trigonal pyramid,  an edgeedge with one O(24)Y3Ho trigonal pyramid, and  an edgeedge with one O(4)Y4 trigonal pyramid. In the sixteenth O site, O(16) is bonded to one Ho(2), one Y(11), one Y(13), and one Y(3) atom to form OY3Ho trigonal pyramids that share  a cornercorner with one O(10)Y3Ho trigonal pyramid,  a cornercorner with one O(20)Y3Ho trigonal pyramid,  a cornercorner with one O(21)Y3Ho trigonal pyramid,  a cornercorner with one O(23)Y3Ho trigonal pyramid,  a cornercorner with one O(24)Y3Ho trigonal pyramid,  a cornercorner with one O(6)Y3Ho trigonal pyramid,  a cornercorner with one O(7)Y3Ho trigonal pyramid,  a cornercorner with one O(9)Y3Ho trigonal pyramid,  a cornercorner with one O(11)Y4 trigonal pyramid,  a cornercorner with one O(14)Y4 trigonal pyramid,  a cornercorner with one O(18)Y4 trigonal pyramid,  a cornercorner with one O(22)Y4 trigonal pyramid,  an edgeedge with one O(19)Y2Ho2 trigonal pyramid,  an edgeedge with one O(1)Y3Ho trigonal pyramid,  an edgeedge with one O(3)Y4 trigonal pyramid, and  an edgeedge with one O(8)Y4 trigonal pyramid. In the seventeenth O site, O(17) is bonded to one Ho(1), one Ho(3), one Y(5), and one Y(8) atom to form OY2Ho2 trigonal pyramids that share  a cornercorner with one O(10)Y3Ho trigonal pyramid,  a cornercorner with one O(20)Y3Ho trigonal pyramid,  a cornercorner with one O(21)Y3Ho trigonal pyramid,  a cornercorner with one O(23)Y3Ho trigonal pyramid,  a cornercorner with one O(24)Y3Ho trigonal pyramid,  a cornercorner with one O(6)Y3Ho trigonal pyramid,  a cornercorner with one O(7)Y3Ho trigonal pyramid,  a cornercorner with one O(9)Y3Ho trigonal pyramid,  a cornercorner with one O(11)Y4 trigonal pyramid,  a cornercorner with one O(14)Y4 trigonal pyramid,  a cornercorner with one O(18)Y4 trigonal pyramid,  a cornercorner with one O(22)Y4 trigonal pyramid,  an edgeedge with one O(15)Y2Ho2 trigonal pyramid,  an edgeedge with one O(19)Y2Ho2 trigonal pyramid,  an edgeedge with one O(12)Y3Ho trigonal pyramid, and  an edgeedge with one O(5)Y3Ho trigonal pyramid. In the eighteenth O site, O(18) is bonded to one Y(12), one Y(13), one Y(5), and one Y(7) atom to form OY4 trigonal pyramids that share  a cornercorner with one O(17)Y2Ho2 trigonal pyramid,  a cornercorner with one O(12)Y3Ho trigonal pyramid,  a cornercorner with one O(16)Y3Ho trigonal pyramid,  a cornercorner with one O(23)Y3Ho trigonal pyramid,  a cornercorner with one O(24)Y3Ho trigonal pyramid,  a cornercorner with one O(5)Y3Ho trigonal pyramid,  a cornercorner with one O(6)Y3Ho trigonal pyramid,  a cornercorner with one O(9)Y3Ho trigonal pyramid,  a cornercorner with one O(11)Y4 trigonal pyramid,  a cornercorner with one O(22)Y4 trigonal pyramid,  a cornercorner with one O(4)Y4 trigonal pyramid,  a cornercorner with one O(8)Y4 trigonal pyramid,  an edgeedge with one O(10)Y3Ho trigonal pyramid,  an edgeedge with one O(21)Y3Ho trigonal pyramid,  an edgeedge with one O(13)Y4 trigonal pyramid, and  an edgeedge with one O(3)Y4 trigonal pyramid. In the nineteenth O site, O(19) is bonded to one Ho(2), one Ho(3), one Y(11), and one Y(8) atom to form OY2Ho2 trigonal pyramids that share  a cornercorner with one O(15)Y2Ho2 trigonal pyramid,  a cornercorner with one O(1)Y3Ho trigonal pyramid,  a cornercorner with one O(10)Y3Ho trigonal pyramid,  a cornercorner with one O(12)Y3Ho trigonal pyramid,  a cornercorner with one O(21)Y3Ho trigonal pyramid,  a cornercorner with one O(24)Y3Ho trigonal pyramid,  a cornercorner with one O(5)Y3Ho trigonal pyramid,  a cornercorner with one O(6)Y3Ho trigonal pyramid,  a cornercorner with one O(7)Y3Ho trigonal pyramid,  a cornercorner with one O(11)Y4 trigonal pyramid,  a cornercorner with one O(3)Y4 trigonal pyramid,  a cornercorner with one O(8)Y4 trigonal pyramid,  an edgeedge with one O(17)Y2Ho2 trigonal pyramid,  an edgeedge with one O(16)Y3Ho trigonal pyramid,  an edgeedge with one O(23)Y3Ho trigonal pyramid, and  an edgeedge with one O(14)Y4 trigonal pyramid. In the twentieth O site, O(20) is bonded to one Ho(1), one Y(10), one Y(3), and one Y(9) atom to form OY3Ho trigonal pyramids that share  a cornercorner with one O(17)Y2Ho2 trigonal pyramid,  a cornercorner with one O(12)Y3Ho trigonal pyramid,  a cornercorner with one O(16)Y3Ho trigonal pyramid,  a cornercorner with one O(23)Y3Ho trigonal pyramid,  a cornercorner with one O(24)Y3Ho trigonal pyramid,  a cornercorner with one O(5)Y3Ho trigonal pyramid,  a cornercorner with one O(6)Y3Ho trigonal pyramid,  a cornercorner with one O(9)Y3Ho trigonal pyramid,  a cornercorner with one O(11)Y4 trigonal pyramid,  a cornercorner with one O(22)Y4 trigonal pyramid,  a cornercorner with one O(4)Y4 trigonal pyramid,  a cornercorner with one O(8)Y4 trigonal pyramid,  an edgeedge with one O(15)Y2Ho2 trigonal pyramid,  an edgeedge with one O(1)Y3Ho trigonal pyramid,  an edgeedge with one O(7)Y3Ho trigonal pyramid, and  an edgeedge with one O(13)Y4 trigonal pyramid. In the twenty-first O site, O(21) is bonded to one Ho(3), one Y(13), one Y(6), and one Y(7) atom to form OY3Ho trigonal pyramids that share  a cornercorner with one O(15)Y2Ho2 trigonal pyramid,  a cornercorner with one O(17)Y2Ho2 trigonal pyramid,  a cornercorner with one O(19)Y2Ho2 trigonal pyramid,  a cornercorner with one O(1)Y3Ho trigonal pyramid,  a cornercorner with one O(12)Y3Ho trigonal pyramid,  a cornercorner with one O(16)Y3Ho trigonal pyramid,  a cornercorner with one O(5)Y3Ho trigonal pyramid,  a cornercorner with one O(13)Y4 trigonal pyramid,  a cornercorner with one O(2)Y4 trigonal pyramid,  a cornercorner with one O(3)Y4 trigonal pyramid,  a cornercorner with one O(4)Y4 trigonal pyramid,  a cornercorner with one O(8)Y4 trigonal pyramid,  an edgeedge with one O(24)Y3Ho trigonal pyramid,  an edgeedge with one O(9)Y3Ho trigonal pyramid,  an edgeedge with one O(11)Y4 trigonal pyramid, and  an edgeedge with one O(18)Y4 trigonal pyramid. In the twenty-second O site, O(22) is bonded to one Y(1), one Y(2), one Y(3), and one Y(5) atom to form OY4 trigonal pyramids that share  a cornercorner with one O(15)Y2Ho2 trigonal pyramid,  a cornercorner with one O(17)Y2Ho2 trigonal pyramid,  a cornercorner with one O(1)Y3Ho trigonal pyramid,  a cornercorner with one O(16)Y3Ho trigonal pyramid,  a cornercorner with one O(20)Y3Ho trigonal pyramid,  a cornercorner with one O(24)Y3Ho trigonal pyramid,  a cornercorner with one O(6)Y3Ho trigonal pyramid,  a cornercorner with one O(11)Y4 trigonal pyramid,  a cornercorner with one O(14)Y4 trigonal pyramid,  a cornercorner with one O(18)Y4 trigonal pyramid,  a cornercorner with one O(3)Y4 trigonal pyramid,  a cornercorner with one O(4)Y4 trigonal pyramid,  an edgeedge with one O(10)Y3Ho trigonal pyramid,  an edgeedge with one O(12)Y3Ho trigonal pyramid,  an edgeedge with one O(2)Y4 trigonal pyramid, and  an edgeedge with one O(8)Y4 trigonal pyramid. In the twenty-third O site, O(23) is bonded to one Ho(2), one Y(10), one Y(12), and one Y(8) atom to form OY3Ho trigonal pyramids that share  a cornercorner with one O(15)Y2Ho2 trigonal pyramid,  a cornercorner with one O(17)Y2Ho2 trigonal pyramid,  a cornercorner with one O(1)Y3Ho trigonal pyramid,  a cornercorner with one O(16)Y3Ho trigonal pyramid,  a cornercorner with one O(20)Y3Ho trigonal pyramid,  a cornercorner with one O(24)Y3Ho trigonal pyramid,  a cornercorner with one O(6)Y3Ho trigonal pyramid,  a cornercorner with one O(11)Y4 trigonal pyramid,  a cornercorner with one O(14)Y4 trigonal pyramid,  a cornercorner with one O(18)Y4 trigonal pyramid,  a cornercorner with one O(3)Y4 trigonal pyramid,  a cornercorner with one O(4)Y4 trigonal pyramid,  an edgeedge with one O(19)Y2Ho2 trigonal pyramid,  an edgeedge with one O(10)Y3Ho trigonal pyramid,  an edgeedge with one O(5)Y3Ho trigonal pyramid, and  an edgeedge with one O(13)Y4 trigonal pyramid. In the twenty-fourth O site, O(24) is bonded to one Ho(3), one Y(10), one Y(13), and one Y(2) atom to form OY3Ho trigonal pyramids that share  a cornercorner with one O(17)Y2Ho2 trigonal pyramid,  a cornercorner with one O(19)Y2Ho2 trigonal pyramid,  a cornercorner with one O(16)Y3Ho trigonal pyramid,  a cornercorner with one O(20)Y3Ho trigonal pyramid,  a cornercorner with one O(23)Y3Ho trigonal pyramid,  a cornercorner with one O(9)Y3Ho trigonal pyramid,  a cornercorner with one O(13)Y4 trigonal pyramid,  a cornercorner with one O(14)Y4 trigonal pyramid,  a cornercorner with one O(18)Y4 trigonal pyramid,  a cornercorner with one O(2)Y4 trigonal pyramid,  a cornercorner with one O(22)Y4 trigonal pyramid,  a cornercorner with one O(4)Y4 trigonal pyramid,  an edgeedge with one O(15)Y2Ho2 trigonal pyramid,  an edgeedge with one O(12)Y3Ho trigonal pyramid,  an edgeedge with one O(21)Y3Ho trigonal pyramid, and  an edgeedge with one O(3)Y4 trigonal pyramid.