The structure described by 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. is represented by the CIF file [CIF]
data_Y13Ho3O24
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   9.170
_cell_length_b   9.171
_cell_length_c   9.174
_cell_angle_alpha   109.477
_cell_angle_beta   109.466
_cell_angle_gamma   109.451
_symmetry_Int_Tables_number   1
_cell_volume   594.093
_cell_formula_units_Z   1
loop_
 _symmetry_equiv_pos_site_id
 _symmetry_equiv_pos_as_xyz
  1  'x, y, z'
loop_
 _atom_site_type_symbol
 _atom_site_label
 _atom_site_symmetry_multiplicity
 _atom_site_fract_x
 _atom_site_fract_y
 _atom_site_fract_z
 _atom_site_occupancy
  Y  Y0  1  0.032  0.782  0.750  1.0
  Y  Y1  1  0.500  0.000  0.000  1.0
  Y  Y2  1  0.217  0.250  0.968  1.0
  Y  Y3  1  0.282  0.749  0.532  1.0
  Y  Y4  1  0.250  0.968  0.218  1.0
  Y  Y5  1  0.250  0.467  0.717  1.0
  Y  Y6  1  0.999  0.000  0.500  1.0
  Y  Y7  1  0.533  0.283  0.750  1.0
  Y  Y8  1  0.467  0.717  0.250  1.0
  Y  Y9  1  0.750  0.532  0.282  1.0
  Y  Y10  1  0.750  0.033  0.782  1.0
  Y  Y11  1  0.783  0.750  0.032  1.0
  Y  Y12  1  0.968  0.218  0.250  1.0
  Ho  Ho13  1  0.500  0.500  0.500  1.0
  Ho  Ho14  1  1.000  0.500  1.000  1.0
  Ho  Ho15  1  0.717  0.251  0.468  1.0
  O  O16  1  0.238  0.511  0.968  1.0
  O  O17  1  0.261  0.729  0.772  1.0
  O  O18  1  0.728  0.958  0.989  1.0
  O  O19  1  0.031  0.761  0.489  1.0
  O  O20  1  0.532  0.543  0.770  1.0
  O  O21  1  0.227  0.738  0.270  1.0
  O  O22  1  0.543  0.770  0.532  1.0
  O  O23  1  0.957  0.989  0.728  1.0
  O  O24  1  0.230  0.468  0.457  1.0
  O  O25  1  0.989  0.727  0.957  1.0
  O  O26  1  0.271  0.228  0.739  1.0
  O  O27  1  0.512  0.970  0.241  1.0
  O  O28  1  0.729  0.771  0.260  1.0
  O  O29  1  0.489  0.032  0.761  1.0
  O  O30  1  0.770  0.530  0.542  1.0
  O  O31  1  0.010  0.273  0.043  1.0
  O  O32  1  0.458  0.230  0.468  1.0
  O  O33  1  0.043  0.011  0.272  1.0
  O  O34  1  0.773  0.262  0.729  1.0
  O  O35  1  0.468  0.457  0.230  1.0
  O  O36  1  0.967  0.239  0.511  1.0
  O  O37  1  0.272  0.042  0.011  1.0
  O  O38  1  0.762  0.489  0.032  1.0
  O  O39  1  0.739  0.271  0.229  1.0
[/CIF]
.
The structure described by 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. is represented by the CIF file [CIF]
data_Y13Ho3O24
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   9.170
_cell_length_b   9.171
_cell_length_c   9.174
_cell_angle_alpha   109.477
_cell_angle_beta   109.466
_cell_angle_gamma   109.451
_symmetry_Int_Tables_number   1
_cell_volume   594.093
_cell_formula_units_Z   1
loop_
 _symmetry_equiv_pos_site_id
 _symmetry_equiv_pos_as_xyz
  1  'x, y, z'
loop_
 _atom_site_type_symbol
 _atom_site_label
 _atom_site_symmetry_multiplicity
 _atom_site_fract_x
 _atom_site_fract_y
 _atom_site_fract_z
 _atom_site_occupancy
  Y  Y0  1  0.032  0.782  0.750  1.0
  Y  Y1  1  0.500  0.000  0.000  1.0
  Y  Y2  1  0.217  0.250  0.968  1.0
  Y  Y3  1  0.282  0.749  0.532  1.0
  Y  Y4  1  0.250  0.968  0.218  1.0
  Y  Y5  1  0.250  0.467  0.717  1.0
  Y  Y6  1  0.999  0.000  0.500  1.0
  Y  Y7  1  0.533  0.283  0.750  1.0
  Y  Y8  1  0.467  0.717  0.250  1.0
  Y  Y9  1  0.750  0.532  0.282  1.0
  Y  Y10  1  0.750  0.033  0.782  1.0
  Y  Y11  1  0.783  0.750  0.032  1.0
  Y  Y12  1  0.968  0.218  0.250  1.0
  Ho  Ho13  1  0.500  0.500  0.500  1.0
  Ho  Ho14  1  1.000  0.500  1.000  1.0
  Ho  Ho15  1  0.717  0.251  0.468  1.0
  O  O16  1  0.238  0.511  0.968  1.0
  O  O17  1  0.261  0.729  0.772  1.0
  O  O18  1  0.728  0.958  0.989  1.0
  O  O19  1  0.031  0.761  0.489  1.0
  O  O20  1  0.532  0.543  0.770  1.0
  O  O21  1  0.227  0.738  0.270  1.0
  O  O22  1  0.543  0.770  0.532  1.0
  O  O23  1  0.957  0.989  0.728  1.0
  O  O24  1  0.230  0.468  0.457  1.0
  O  O25  1  0.989  0.727  0.957  1.0
  O  O26  1  0.271  0.228  0.739  1.0
  O  O27  1  0.512  0.970  0.241  1.0
  O  O28  1  0.729  0.771  0.260  1.0
  O  O29  1  0.489  0.032  0.761  1.0
  O  O30  1  0.770  0.530  0.542  1.0
  O  O31  1  0.010  0.273  0.043  1.0
  O  O32  1  0.458  0.230  0.468  1.0
  O  O33  1  0.043  0.011  0.272  1.0
  O  O34  1  0.773  0.262  0.729  1.0
  O  O35  1  0.468  0.457  0.230  1.0
  O  O36  1  0.967  0.239  0.511  1.0
  O  O37  1  0.272  0.042  0.011  1.0
  O  O38  1  0.762  0.489  0.032  1.0
  O  O39  1  0.739  0.271  0.229  1.0
[/CIF]
.