Tm3Y13O24 is Spinel-like structured and crystallizes in the triclinic P1 space group. There are three inequivalent Tm sites. In the first Tm site, Tm(1) is bonded to one O(16), one O(17), one O(19), one O(5), one O(7), and one O(9) atom to form TmO6 octahedra that share  a cornercorner with one Tm(3)O6 octahedra,  a cornercorner with one Y(1)O6 octahedra,  a cornercorner with one Y(11)O6 octahedra,  a cornercorner with one Y(13)O6 octahedra,  a cornercorner with one Y(3)O6 octahedra,  a cornercorner with one Y(6)O6 octahedra,  an edgeedge with one Y(10)O6 octahedra,  an edgeedge with one Y(12)O6 octahedra,  an edgeedge with one Y(4)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 54-55°. In the second Tm site, Tm(2) is bonded to one O(11), one O(14), one O(2), one O(20), one O(23), and one O(6) atom to form TmO6 octahedra that share  a cornercorner with one Y(1)O6 octahedra,  a cornercorner with one Y(10)O6 octahedra,  a cornercorner with one Y(12)O6 octahedra,  a cornercorner with one Y(13)O6 octahedra,  a cornercorner with one Y(4)O6 octahedra,  a cornercorner with one Y(5)O6 octahedra,  an edgeedge with one Tm(3)O6 octahedra,  an edgeedge with one Y(11)O6 octahedra,  an edgeedge with one Y(3)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 54-56°. In the third Tm site, Tm(3) is bonded to one O(11), one O(15), one O(18), one O(23), one O(4), and one O(5) atom to form distorted TmO6 octahedra that share  a cornercorner with one Tm(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(5)O6 octahedra,  a cornercorner with one Y(8)O6 octahedra,  an edgeedge with one Tm(2)O6 octahedra,  an edgeedge with one Y(10)O6 octahedra,  an edgeedge with one Y(13)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 53-55°. There are thirteen inequivalent Y sites. In the first Y site, Y(1) is bonded to one O(1), one O(11), one O(16), one O(22), one O(3), and one O(8) atom to form distorted YO6 octahedra that share  a cornercorner with one Tm(1)O6 octahedra,  a cornercorner with one Tm(2)O6 octahedra,  a cornercorner with one Tm(3)O6 octahedra,  a cornercorner with one Y(11)O6 octahedra,  a cornercorner with one Y(12)O6 octahedra,  a cornercorner with one Y(5)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(6)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(1), one O(12), one O(13), one O(22), one O(24), and one O(4) atom to form YO6 octahedra that share  a cornercorner with one Tm(3)O6 octahedra,  a cornercorner with one Y(10)O6 octahedra,  a cornercorner with one Y(3)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(11)O6 octahedra,  an edgeedge with one Y(12)O6 octahedra,  an edgeedge with one Y(13)O6 octahedra,  an edgeedge with one Y(4)O6 octahedra, and  an edgeedge with one Y(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 55-57°. In the third Y site, Y(3) is bonded to one O(10), one O(14), one O(19), one O(2), one O(22), and one O(8) atom to form distorted YO6 octahedra that share  a cornercorner with one Tm(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(6)O6 octahedra,  a cornercorner with one Y(9)O6 octahedra,  an edgeedge with one Tm(2)O6 octahedra,  an edgeedge with one Y(1)O6 octahedra,  an edgeedge with one Y(11)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 fourth Y site, Y(4) is bonded to one O(1), one O(13), one O(3), one O(6), one O(7), and one O(9) atom to form distorted YO6 octahedra that share  a cornercorner with one Tm(2)O6 octahedra,  a cornercorner with one Y(10)O6 octahedra,  a cornercorner with one Y(13)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 Tm(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(5)O6 octahedra, and  an edgeedge with one Y(8)O6 octahedra. The corner-sharing octahedral tilt angles range from 54-56°. In the fifth Y site, Y(5) is bonded to one O(1), one O(10), 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 Tm(2)O6 octahedra,  a cornercorner with one Tm(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(8)O6 octahedra,  an edgeedge with one Tm(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(9)O6 octahedra. The corner-sharing octahedral tilt angles range from 54-57°. In the sixth Y site, Y(6) is bonded to one O(11), 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 Tm(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(9)O6 octahedra,  an edgeedge with one Tm(2)O6 octahedra,  an edgeedge with one Tm(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(8)O6 octahedra. The corner-sharing octahedral tilt angles range from 55-56°. In the seventh Y site, Y(7) is bonded to one O(10), one O(15), one O(18), one O(21), one O(3), and one O(8) atom to form YO6 octahedra that share  a cornercorner with one Y(11)O6 octahedra,  a cornercorner with one Y(12)O6 octahedra,  a cornercorner with one Y(4)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 Tm(3)O6 octahedra,  an edgeedge with one Y(1)O6 octahedra,  an edgeedge with one Y(10)O6 octahedra,  an edgeedge with one Y(13)O6 octahedra,  an edgeedge with one Y(3)O6 octahedra, and  an edgeedge with one Y(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 56-57°. In the eighth Y site, Y(8) is bonded to one O(12), one O(15), one O(19), one O(2), one O(6), and one O(7) atom to form distorted YO6 octahedra that share  a cornercorner with one Tm(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(5)O6 octahedra,  a cornercorner with one Y(7)O6 octahedra,  an edgeedge with one Tm(1)O6 octahedra,  an edgeedge with one Tm(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(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 53-57°. In the ninth Y site, Y(9) is bonded to one O(10), one O(13), one O(17), one O(20), 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(6)O6 octahedra,  a cornercorner with one Y(7)O6 octahedra,  an edgeedge with one Tm(1)O6 octahedra,  an edgeedge with one Tm(2)O6 octahedra,  an edgeedge with one Tm(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(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 54-56°. In the tenth Y site, Y(10) is bonded to one O(15), one O(16), one O(19), one O(23), one O(24), and one O(3) atom to form distorted YO6 octahedra that share  a cornercorner with one Tm(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(9)O6 octahedra,  an edgeedge with one Tm(1)O6 octahedra,  an edgeedge with one Tm(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(8)O6 octahedra. The corner-sharing octahedral tilt angles range from 54-56°. In the eleventh Y site, Y(11) is bonded to one O(13), one O(14), one O(20), one O(4), one O(7), and one O(8) atom to form distorted YO6 octahedra that share  a cornercorner with one Tm(1)O6 octahedra,  a cornercorner with one Tm(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(8)O6 octahedra,  an edgeedge with one Tm(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(9)O6 octahedra. The corner-sharing octahedral tilt angles range from 54-56°. In the twelfth Y site, Y(12) is bonded to one O(12), one O(16), one O(17), one O(20), one O(21), and one O(24) atom to form distorted YO6 octahedra that share  a cornercorner with one Tm(2)O6 octahedra,  a cornercorner with one Y(1)O6 octahedra,  a cornercorner with one Y(11)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 Tm(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(6)O6 octahedra, and  an edgeedge with one Y(9)O6 octahedra. The corner-sharing octahedral tilt angles range from 54-56°. In the thirteenth Y site, Y(13) is bonded to one O(14), one O(18), one O(21), one O(24), one O(4), and one O(9) atom to form distorted YO6 octahedra that share  a cornercorner with one Tm(1)O6 octahedra,  a cornercorner with one Tm(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(6)O6 octahedra,  an edgeedge with one Tm(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(5)O6 octahedra, and  an edgeedge with one Y(7)O6 octahedra. The corner-sharing octahedral tilt angles range from 54-56°. There are twenty-four inequivalent O sites. In the first O site, O(1) is bonded to one Y(1), one Y(2), one Y(4), and one Y(5) atom to form OY4 trigonal pyramids that share  a cornercorner with one O(11)Y2Tm2 trigonal pyramid,  a cornercorner with one O(5)Y2Tm2 trigonal pyramid,  a cornercorner with one O(16)Y3Tm trigonal pyramid,  a cornercorner with one O(2)Y3Tm trigonal pyramid,  a cornercorner with one O(4)Y3Tm trigonal pyramid,  a cornercorner with one O(6)Y3Tm trigonal pyramid,  a cornercorner with one O(7)Y3Tm trigonal pyramid,  a cornercorner with one O(10)Y4 trigonal pyramid,  a cornercorner with one O(12)Y4 trigonal pyramid,  a cornercorner with one O(21)Y4 trigonal pyramid,  a cornercorner with one O(24)Y4 trigonal pyramid,  a cornercorner with one O(8)Y4 trigonal pyramid,  an edgeedge with one O(9)Y3Tm trigonal pyramid,  an edgeedge with one O(13)Y4 trigonal pyramid,  an edgeedge with one O(22)Y4 trigonal pyramid, and  an edgeedge with one O(3)Y4 trigonal pyramid. In the second O site, O(2) is bonded to one Tm(2), one Y(3), one Y(5), and one Y(8) atom to form OY3Tm trigonal pyramids that share  a cornercorner with one O(11)Y2Tm2 trigonal pyramid,  a cornercorner with one O(23)Y2Tm2 trigonal pyramid,  a cornercorner with one O(5)Y2Tm2 trigonal pyramid,  a cornercorner with one O(15)Y3Tm trigonal pyramid,  a cornercorner with one O(20)Y3Tm trigonal pyramid,  a cornercorner with one O(7)Y3Tm trigonal pyramid,  a cornercorner with one O(9)Y3Tm trigonal pyramid,  a cornercorner with one O(1)Y4 trigonal pyramid,  a cornercorner with one O(12)Y4 trigonal pyramid,  a cornercorner with one O(21)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(14)Y3Tm trigonal pyramid,  an edgeedge with one O(19)Y3Tm trigonal pyramid,  an edgeedge with one O(6)Y3Tm trigonal pyramid, and  an edgeedge with one O(10)Y4 trigonal pyramid. In the third O site, O(3) 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(18)Y3Tm tetrahedra,  a cornercorner with one O(11)Y2Tm2 trigonal pyramid,  a cornercorner with one O(23)Y2Tm2 trigonal pyramid,  a cornercorner with one O(19)Y3Tm trigonal pyramid,  a cornercorner with one O(6)Y3Tm trigonal pyramid,  a cornercorner with one O(7)Y3Tm trigonal pyramid,  a cornercorner with one O(9)Y3Tm trigonal pyramid,  a cornercorner with one O(10)Y4 trigonal pyramid,  a cornercorner with one O(13)Y4 trigonal pyramid,  a cornercorner with one O(21)Y4 trigonal pyramid,  a cornercorner with one O(22)Y4 trigonal pyramid,  a cornercorner with one O(24)Y4 trigonal pyramid,  an edgeedge with one O(15)Y3Tm trigonal pyramid,  an edgeedge with one O(16)Y3Tm trigonal pyramid,  an edgeedge with one O(1)Y4 trigonal pyramid, and  an edgeedge with one O(8)Y4 trigonal pyramid. In the fourth O site, O(4) is bonded to one Tm(3), one Y(11), one Y(13), and one Y(2) atom to form OY3Tm trigonal pyramids that share  a cornercorner with one O(11)Y2Tm2 trigonal pyramid,  a cornercorner with one O(23)Y2Tm2 trigonal pyramid,  a cornercorner with one O(5)Y2Tm2 trigonal pyramid,  a cornercorner with one O(15)Y3Tm trigonal pyramid,  a cornercorner with one O(20)Y3Tm trigonal pyramid,  a cornercorner with one O(7)Y3Tm trigonal pyramid,  a cornercorner with one O(9)Y3Tm trigonal pyramid,  a cornercorner with one O(1)Y4 trigonal pyramid,  a cornercorner with one O(12)Y4 trigonal pyramid,  a cornercorner with one O(21)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(18)Y3Tm tetrahedra,  an edgeedge with one O(14)Y3Tm trigonal pyramid,  an edgeedge with one O(13)Y4 trigonal pyramid, and  an edgeedge with one O(24)Y4 trigonal pyramid. In the fifth O site, O(5) is bonded to one Tm(1), one Tm(3), one Y(5), and one Y(9) atom to form OY2Tm2 trigonal pyramids that share  a cornercorner with one O(18)Y3Tm tetrahedra,  a cornercorner with one O(11)Y2Tm2 trigonal pyramid,  a cornercorner with one O(15)Y3Tm trigonal pyramid,  a cornercorner with one O(16)Y3Tm trigonal pyramid,  a cornercorner with one O(19)Y3Tm trigonal pyramid,  a cornercorner with one O(2)Y3Tm trigonal pyramid,  a cornercorner with one O(20)Y3Tm trigonal pyramid,  a cornercorner with one O(4)Y3Tm trigonal pyramid,  a cornercorner with one O(7)Y3Tm trigonal pyramid,  a cornercorner with one O(1)Y4 trigonal pyramid,  a cornercorner with one O(13)Y4 trigonal pyramid,  a cornercorner with one O(21)Y4 trigonal pyramid,  an edgeedge with one O(23)Y2Tm2 trigonal pyramid,  an edgeedge with one O(17)Y3Tm trigonal pyramid,  an edgeedge with one O(9)Y3Tm trigonal pyramid, and  an edgeedge with one O(10)Y4 trigonal pyramid. In the sixth O site, O(6) is bonded to one Tm(2), one Y(4), one Y(6), and one Y(8) atom to form OY3Tm trigonal pyramids that share  a cornercorner with one O(18)Y3Tm tetrahedra,  a cornercorner with one O(23)Y2Tm2 trigonal pyramid,  a cornercorner with one O(14)Y3Tm trigonal pyramid,  a cornercorner with one O(15)Y3Tm trigonal pyramid,  a cornercorner with one O(17)Y3Tm trigonal pyramid,  a cornercorner with one O(19)Y3Tm trigonal pyramid,  a cornercorner with one O(20)Y3Tm trigonal pyramid,  a cornercorner with one O(9)Y3Tm trigonal pyramid,  a cornercorner with one O(1)Y4 trigonal pyramid,  a cornercorner with one O(13)Y4 trigonal pyramid,  a cornercorner with one O(22)Y4 trigonal pyramid,  a cornercorner with one O(3)Y4 trigonal pyramid,  an edgeedge with one O(11)Y2Tm2 trigonal pyramid,  an edgeedge with one O(2)Y3Tm trigonal pyramid,  an edgeedge with one O(7)Y3Tm trigonal pyramid, and  an edgeedge with one O(12)Y4 trigonal pyramid. In the seventh O site, O(7) is bonded to one Tm(1), one Y(11), one Y(4), and one Y(8) atom to form OY3Tm trigonal pyramids that share  a cornercorner with one O(5)Y2Tm2 trigonal pyramid,  a cornercorner with one O(14)Y3Tm trigonal pyramid,  a cornercorner with one O(15)Y3Tm trigonal pyramid,  a cornercorner with one O(16)Y3Tm trigonal pyramid,  a cornercorner with one O(17)Y3Tm trigonal pyramid,  a cornercorner with one O(2)Y3Tm trigonal pyramid,  a cornercorner with one O(20)Y3Tm trigonal pyramid,  a cornercorner with one O(4)Y3Tm trigonal pyramid,  a cornercorner with one O(1)Y4 trigonal pyramid,  a cornercorner with one O(12)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(19)Y3Tm trigonal pyramid,  an edgeedge with one O(6)Y3Tm trigonal pyramid,  an edgeedge with one O(9)Y3Tm trigonal pyramid, and  an edgeedge with one O(13)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(18)Y3Tm tetrahedra,  a cornercorner with one O(11)Y2Tm2 trigonal pyramid,  a cornercorner with one O(15)Y3Tm trigonal pyramid,  a cornercorner with one O(16)Y3Tm trigonal pyramid,  a cornercorner with one O(19)Y3Tm trigonal pyramid,  a cornercorner with one O(2)Y3Tm trigonal pyramid,  a cornercorner with one O(20)Y3Tm trigonal pyramid,  a cornercorner with one O(4)Y3Tm trigonal pyramid,  a cornercorner with one O(7)Y3Tm trigonal pyramid,  a cornercorner with one O(1)Y4 trigonal pyramid,  a cornercorner with one O(13)Y4 trigonal pyramid,  a cornercorner with one O(21)Y4 trigonal pyramid,  an edgeedge with one O(14)Y3Tm trigonal pyramid,  an edgeedge with one O(10)Y4 trigonal pyramid,  an edgeedge with one O(22)Y4 trigonal pyramid, and  an edgeedge with one O(3)Y4 trigonal pyramid. In the ninth O site, O(9) is bonded to one Tm(1), one Y(13), one Y(4), and one Y(5) atom to form OY3Tm trigonal pyramids that share  a cornercorner with one O(18)Y3Tm tetrahedra,  a cornercorner with one O(14)Y3Tm trigonal pyramid,  a cornercorner with one O(16)Y3Tm trigonal pyramid,  a cornercorner with one O(17)Y3Tm trigonal pyramid,  a cornercorner with one O(19)Y3Tm trigonal pyramid,  a cornercorner with one O(2)Y3Tm trigonal pyramid,  a cornercorner with one O(4)Y3Tm trigonal pyramid,  a cornercorner with one O(6)Y3Tm trigonal pyramid,  a cornercorner with one O(10)Y4 trigonal pyramid,  a cornercorner with one O(13)Y4 trigonal pyramid,  a cornercorner with one O(24)Y4 trigonal pyramid,  a cornercorner with one O(3)Y4 trigonal pyramid,  an edgeedge with one O(5)Y2Tm2 trigonal pyramid,  an edgeedge with one O(7)Y3Tm trigonal pyramid,  an edgeedge with one O(1)Y4 trigonal pyramid, and  an edgeedge with one O(21)Y4 trigonal pyramid. In the tenth O site, O(10) is bonded to one Y(3), one Y(5), one Y(7), and one Y(9) atom to form OY4 trigonal pyramids that share  a cornercorner with one O(18)Y3Tm tetrahedra,  a cornercorner with one O(23)Y2Tm2 trigonal pyramid,  a cornercorner with one O(14)Y3Tm trigonal pyramid,  a cornercorner with one O(15)Y3Tm trigonal pyramid,  a cornercorner with one O(17)Y3Tm trigonal pyramid,  a cornercorner with one O(19)Y3Tm trigonal pyramid,  a cornercorner with one O(20)Y3Tm trigonal pyramid,  a cornercorner with one O(9)Y3Tm trigonal pyramid,  a cornercorner with one O(1)Y4 trigonal pyramid,  a cornercorner with one O(13)Y4 trigonal pyramid,  a cornercorner with one O(22)Y4 trigonal pyramid,  a cornercorner with one O(3)Y4 trigonal pyramid,  an edgeedge with one O(5)Y2Tm2 trigonal pyramid,  an edgeedge with one O(2)Y3Tm trigonal pyramid,  an edgeedge with one O(21)Y4 trigonal pyramid, and  an edgeedge with one O(8)Y4 trigonal pyramid. In the eleventh O site, O(11) is bonded to one Tm(2), one Tm(3), one Y(1), and one Y(6) atom to form OY2Tm2 trigonal pyramids that share  a cornercorner with one O(5)Y2Tm2 trigonal pyramid,  a cornercorner with one O(14)Y3Tm trigonal pyramid,  a cornercorner with one O(15)Y3Tm trigonal pyramid,  a cornercorner with one O(16)Y3Tm trigonal pyramid,  a cornercorner with one O(17)Y3Tm trigonal pyramid,  a cornercorner with one O(2)Y3Tm trigonal pyramid,  a cornercorner with one O(20)Y3Tm trigonal pyramid,  a cornercorner with one O(4)Y3Tm trigonal pyramid,  a cornercorner with one O(1)Y4 trigonal pyramid,  a cornercorner with one O(12)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(18)Y3Tm tetrahedra,  an edgeedge with one O(23)Y2Tm2 trigonal pyramid,  an edgeedge with one O(6)Y3Tm trigonal pyramid, and  an edgeedge with one O(22)Y4 trigonal pyramid. In the twelfth O site, O(12) is bonded to one Y(12), one Y(2), one Y(6), and one Y(8) atom to form OY4 trigonal pyramids that share  a cornercorner with one O(18)Y3Tm tetrahedra,  a cornercorner with one O(11)Y2Tm2 trigonal pyramid,  a cornercorner with one O(15)Y3Tm trigonal pyramid,  a cornercorner with one O(16)Y3Tm trigonal pyramid,  a cornercorner with one O(19)Y3Tm trigonal pyramid,  a cornercorner with one O(2)Y3Tm trigonal pyramid,  a cornercorner with one O(20)Y3Tm trigonal pyramid,  a cornercorner with one O(4)Y3Tm trigonal pyramid,  a cornercorner with one O(7)Y3Tm trigonal pyramid,  a cornercorner with one O(1)Y4 trigonal pyramid,  a cornercorner with one O(13)Y4 trigonal pyramid,  a cornercorner with one O(21)Y4 trigonal pyramid,  an edgeedge with one O(17)Y3Tm trigonal pyramid,  an edgeedge with one O(6)Y3Tm trigonal pyramid,  an edgeedge with one O(22)Y4 trigonal pyramid, and  an edgeedge with one O(24)Y4 trigonal pyramid. In the thirteenth O site, O(13) is bonded to one Y(11), one Y(2), one Y(4), and one Y(9) atom to form OY4 trigonal pyramids that share  a cornercorner with one O(23)Y2Tm2 trigonal pyramid,  a cornercorner with one O(5)Y2Tm2 trigonal pyramid,  a cornercorner with one O(14)Y3Tm trigonal pyramid,  a cornercorner with one O(17)Y3Tm trigonal pyramid,  a cornercorner with one O(6)Y3Tm trigonal pyramid,  a cornercorner with one O(9)Y3Tm trigonal pyramid,  a cornercorner with one O(10)Y4 trigonal pyramid,  a cornercorner with one O(12)Y4 trigonal pyramid,  a cornercorner with one O(22)Y4 trigonal pyramid,  a cornercorner with one O(24)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)Y3Tm trigonal pyramid,  an edgeedge with one O(4)Y3Tm trigonal pyramid,  an edgeedge with one O(7)Y3Tm trigonal pyramid, and  an edgeedge with one O(1)Y4 trigonal pyramid. In the fourteenth O site, O(14) is bonded to one Tm(2), one Y(11), one Y(13), and one Y(3) atom to form OY3Tm trigonal pyramids that share  a cornercorner with one O(18)Y3Tm tetrahedra,  a cornercorner with one O(11)Y2Tm2 trigonal pyramid,  a cornercorner with one O(23)Y2Tm2 trigonal pyramid,  a cornercorner with one O(19)Y3Tm trigonal pyramid,  a cornercorner with one O(6)Y3Tm trigonal pyramid,  a cornercorner with one O(7)Y3Tm trigonal pyramid,  a cornercorner with one O(9)Y3Tm trigonal pyramid,  a cornercorner with one O(10)Y4 trigonal pyramid,  a cornercorner with one O(13)Y4 trigonal pyramid,  a cornercorner with one O(21)Y4 trigonal pyramid,  a cornercorner with one O(22)Y4 trigonal pyramid,  a cornercorner with one O(24)Y4 trigonal pyramid,  an edgeedge with one O(2)Y3Tm trigonal pyramid,  an edgeedge with one O(20)Y3Tm trigonal pyramid,  an edgeedge with one O(4)Y3Tm trigonal pyramid, and  an edgeedge with one O(8)Y4 trigonal pyramid. In the fifteenth O site, O(15) is bonded to one Tm(3), one Y(10), one Y(7), and one Y(8) atom to form OY3Tm trigonal pyramids that share  a cornercorner with one O(11)Y2Tm2 trigonal pyramid,  a cornercorner with one O(5)Y2Tm2 trigonal pyramid,  a cornercorner with one O(16)Y3Tm trigonal pyramid,  a cornercorner with one O(2)Y3Tm trigonal pyramid,  a cornercorner with one O(4)Y3Tm trigonal pyramid,  a cornercorner with one O(6)Y3Tm trigonal pyramid,  a cornercorner with one O(7)Y3Tm trigonal pyramid,  a cornercorner with one O(10)Y4 trigonal pyramid,  a cornercorner with one O(12)Y4 trigonal pyramid,  a cornercorner with one O(21)Y4 trigonal pyramid,  a cornercorner with one O(24)Y4 trigonal pyramid,  a cornercorner with one O(8)Y4 trigonal pyramid,  an edgeedge with one O(18)Y3Tm tetrahedra,  an edgeedge with one O(23)Y2Tm2 trigonal pyramid,  an edgeedge with one O(19)Y3Tm trigonal pyramid, and  an edgeedge with one O(3)Y4 trigonal pyramid. In the sixteenth O site, O(16) is bonded to one Tm(1), one Y(1), one Y(10), and one Y(12) atom to form OY3Tm trigonal pyramids that share  a cornercorner with one O(11)Y2Tm2 trigonal pyramid,  a cornercorner with one O(23)Y2Tm2 trigonal pyramid,  a cornercorner with one O(5)Y2Tm2 trigonal pyramid,  a cornercorner with one O(15)Y3Tm trigonal pyramid,  a cornercorner with one O(20)Y3Tm trigonal pyramid,  a cornercorner with one O(7)Y3Tm trigonal pyramid,  a cornercorner with one O(9)Y3Tm trigonal pyramid,  a cornercorner with one O(1)Y4 trigonal pyramid,  a cornercorner with one O(12)Y4 trigonal pyramid,  a cornercorner with one O(21)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)Y3Tm trigonal pyramid,  an edgeedge with one O(19)Y3Tm trigonal pyramid,  an edgeedge with one O(24)Y4 trigonal pyramid, and  an edgeedge with one O(3)Y4 trigonal pyramid. In the seventeenth O site, O(17) is bonded to one Tm(1), one Y(12), one Y(6), and one Y(9) atom to form OY3Tm trigonal pyramids that share  a cornercorner with one O(18)Y3Tm tetrahedra,  a cornercorner with one O(11)Y2Tm2 trigonal pyramid,  a cornercorner with one O(23)Y2Tm2 trigonal pyramid,  a cornercorner with one O(19)Y3Tm trigonal pyramid,  a cornercorner with one O(6)Y3Tm trigonal pyramid,  a cornercorner with one O(7)Y3Tm trigonal pyramid,  a cornercorner with one O(9)Y3Tm trigonal pyramid,  a cornercorner with one O(10)Y4 trigonal pyramid,  a cornercorner with one O(13)Y4 trigonal pyramid,  a cornercorner with one O(21)Y4 trigonal pyramid,  a cornercorner with one O(22)Y4 trigonal pyramid,  a cornercorner with one O(24)Y4 trigonal pyramid,  an edgeedge with one O(5)Y2Tm2 trigonal pyramid,  an edgeedge with one O(16)Y3Tm trigonal pyramid,  an edgeedge with one O(20)Y3Tm trigonal pyramid, and  an edgeedge with one O(12)Y4 trigonal pyramid. In the eighteenth O site, O(18) is bonded to one Tm(3), one Y(13), one Y(6), and one Y(7) atom to form OY3Tm tetrahedra that share  a cornercorner with one O(23)Y2Tm2 trigonal pyramid,  a cornercorner with one O(5)Y2Tm2 trigonal pyramid,  a cornercorner with one O(14)Y3Tm trigonal pyramid,  a cornercorner with one O(17)Y3Tm trigonal pyramid,  a cornercorner with one O(6)Y3Tm trigonal pyramid,  a cornercorner with one O(9)Y3Tm trigonal pyramid,  a cornercorner with one O(10)Y4 trigonal pyramid,  a cornercorner with one O(12)Y4 trigonal pyramid,  a cornercorner with one O(22)Y4 trigonal pyramid,  a cornercorner with one O(24)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(11)Y2Tm2 trigonal pyramid,  an edgeedge with one O(15)Y3Tm trigonal pyramid,  an edgeedge with one O(4)Y3Tm trigonal pyramid, and  an edgeedge with one O(21)Y4 trigonal pyramid. In the nineteenth O site, O(19) is bonded to one Tm(1), one Y(10), one Y(3), and one Y(8) atom to form OY3Tm trigonal pyramids that share  a cornercorner with one O(23)Y2Tm2 trigonal pyramid,  a cornercorner with one O(5)Y2Tm2 trigonal pyramid,  a cornercorner with one O(14)Y3Tm trigonal pyramid,  a cornercorner with one O(17)Y3Tm trigonal pyramid,  a cornercorner with one O(6)Y3Tm trigonal pyramid,  a cornercorner with one O(9)Y3Tm trigonal pyramid,  a cornercorner with one O(10)Y4 trigonal pyramid,  a cornercorner with one O(12)Y4 trigonal pyramid,  a cornercorner with one O(22)Y4 trigonal pyramid,  a cornercorner with one O(24)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(15)Y3Tm trigonal pyramid,  an edgeedge with one O(16)Y3Tm trigonal pyramid,  an edgeedge with one O(2)Y3Tm trigonal pyramid, and  an edgeedge with one O(7)Y3Tm trigonal pyramid. In the twentieth O site, O(20) is bonded to one Tm(2), one Y(11), one Y(12), and one Y(9) atom to form OY3Tm trigonal pyramids that share  a cornercorner with one O(11)Y2Tm2 trigonal pyramid,  a cornercorner with one O(5)Y2Tm2 trigonal pyramid,  a cornercorner with one O(16)Y3Tm trigonal pyramid,  a cornercorner with one O(2)Y3Tm trigonal pyramid,  a cornercorner with one O(4)Y3Tm trigonal pyramid,  a cornercorner with one O(6)Y3Tm trigonal pyramid,  a cornercorner with one O(7)Y3Tm trigonal pyramid,  a cornercorner with one O(10)Y4 trigonal pyramid,  a cornercorner with one O(12)Y4 trigonal pyramid,  a cornercorner with one O(21)Y4 trigonal pyramid,  a cornercorner with one O(24)Y4 trigonal pyramid,  a cornercorner with one O(8)Y4 trigonal pyramid,  an edgeedge with one O(23)Y2Tm2 trigonal pyramid,  an edgeedge with one O(14)Y3Tm trigonal pyramid,  an edgeedge with one O(17)Y3Tm trigonal pyramid, and  an edgeedge with one O(13)Y4 trigonal pyramid. In the twenty-first O site, O(21) 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(5)Y2Tm2 trigonal pyramid,  a cornercorner with one O(14)Y3Tm trigonal pyramid,  a cornercorner with one O(15)Y3Tm trigonal pyramid,  a cornercorner with one O(16)Y3Tm trigonal pyramid,  a cornercorner with one O(17)Y3Tm trigonal pyramid,  a cornercorner with one O(2)Y3Tm trigonal pyramid,  a cornercorner with one O(20)Y3Tm trigonal pyramid,  a cornercorner with one O(4)Y3Tm trigonal pyramid,  a cornercorner with one O(1)Y4 trigonal pyramid,  a cornercorner with one O(12)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(18)Y3Tm tetrahedra,  an edgeedge with one O(9)Y3Tm trigonal pyramid,  an edgeedge with one O(10)Y4 trigonal pyramid, and  an edgeedge with one O(24)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(6) atom to form OY4 trigonal pyramids that share  a cornercorner with one O(18)Y3Tm tetrahedra,  a cornercorner with one O(14)Y3Tm trigonal pyramid,  a cornercorner with one O(16)Y3Tm trigonal pyramid,  a cornercorner with one O(17)Y3Tm trigonal pyramid,  a cornercorner with one O(19)Y3Tm trigonal pyramid,  a cornercorner with one O(2)Y3Tm trigonal pyramid,  a cornercorner with one O(4)Y3Tm trigonal pyramid,  a cornercorner with one O(6)Y3Tm trigonal pyramid,  a cornercorner with one O(10)Y4 trigonal pyramid,  a cornercorner with one O(13)Y4 trigonal pyramid,  a cornercorner with one O(24)Y4 trigonal pyramid,  a cornercorner with one O(3)Y4 trigonal pyramid,  an edgeedge with one O(11)Y2Tm2 trigonal pyramid,  an edgeedge with one O(1)Y4 trigonal pyramid,  an edgeedge with one O(12)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 Tm(2), one Tm(3), one Y(10), and one Y(9) atom to form OY2Tm2 trigonal pyramids that share  a cornercorner with one O(18)Y3Tm tetrahedra,  a cornercorner with one O(14)Y3Tm trigonal pyramid,  a cornercorner with one O(16)Y3Tm trigonal pyramid,  a cornercorner with one O(17)Y3Tm trigonal pyramid,  a cornercorner with one O(19)Y3Tm trigonal pyramid,  a cornercorner with one O(2)Y3Tm trigonal pyramid,  a cornercorner with one O(4)Y3Tm trigonal pyramid,  a cornercorner with one O(6)Y3Tm trigonal pyramid,  a cornercorner with one O(10)Y4 trigonal pyramid,  a cornercorner with one O(13)Y4 trigonal pyramid,  a cornercorner with one O(24)Y4 trigonal pyramid,  a cornercorner with one O(3)Y4 trigonal pyramid,  an edgeedge with one O(11)Y2Tm2 trigonal pyramid,  an edgeedge with one O(5)Y2Tm2 trigonal pyramid,  an edgeedge with one O(15)Y3Tm trigonal pyramid, and  an edgeedge with one O(20)Y3Tm trigonal pyramid. In the twenty-fourth O site, O(24) is bonded to one Y(10), one Y(12), one Y(13), and one Y(2) atom to form OY4 trigonal pyramids that share  a cornercorner with one O(18)Y3Tm tetrahedra,  a cornercorner with one O(23)Y2Tm2 trigonal pyramid,  a cornercorner with one O(14)Y3Tm trigonal pyramid,  a cornercorner with one O(15)Y3Tm trigonal pyramid,  a cornercorner with one O(17)Y3Tm trigonal pyramid,  a cornercorner with one O(19)Y3Tm trigonal pyramid,  a cornercorner with one O(20)Y3Tm trigonal pyramid,  a cornercorner with one O(9)Y3Tm trigonal pyramid,  a cornercorner with one O(1)Y4 trigonal pyramid,  a cornercorner with one O(13)Y4 trigonal pyramid,  a cornercorner with one O(22)Y4 trigonal pyramid,  a cornercorner with one O(3)Y4 trigonal pyramid,  an edgeedge with one O(16)Y3Tm trigonal pyramid,  an edgeedge with one O(4)Y3Tm trigonal pyramid,  an edgeedge with one O(12)Y4 trigonal pyramid, and  an edgeedge with one O(21)Y4 trigonal pyramid.
Tm3Y13O24 is Spinel-like structured and crystallizes in the triclinic P1 space group. There are three inequivalent Tm sites. In the first Tm site, Tm(1) is bonded to one O(16), one O(17), one O(19), one O(5), one O(7), and one O(9) atom to form TmO6 octahedra that share  a cornercorner with one Tm(3)O6 octahedra,  a cornercorner with one Y(1)O6 octahedra,  a cornercorner with one Y(11)O6 octahedra,  a cornercorner with one Y(13)O6 octahedra,  a cornercorner with one Y(3)O6 octahedra,  a cornercorner with one Y(6)O6 octahedra,  an edgeedge with one Y(10)O6 octahedra,  an edgeedge with one Y(12)O6 octahedra,  an edgeedge with one Y(4)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 54-55°. The Tm(1)-O(16) bond length is 2.24 Å. The Tm(1)-O(17) bond length is 2.25 Å. The Tm(1)-O(19) bond length is 2.25 Å. The Tm(1)-O(5) bond length is 2.26 Å. The Tm(1)-O(7) bond length is 2.25 Å. The Tm(1)-O(9) bond length is 2.24 Å. In the second Tm site, Tm(2) is bonded to one O(11), one O(14), one O(2), one O(20), one O(23), and one O(6) atom to form TmO6 octahedra that share  a cornercorner with one Y(1)O6 octahedra,  a cornercorner with one Y(10)O6 octahedra,  a cornercorner with one Y(12)O6 octahedra,  a cornercorner with one Y(13)O6 octahedra,  a cornercorner with one Y(4)O6 octahedra,  a cornercorner with one Y(5)O6 octahedra,  an edgeedge with one Tm(3)O6 octahedra,  an edgeedge with one Y(11)O6 octahedra,  an edgeedge with one Y(3)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 54-56°. The Tm(2)-O(11) bond length is 2.25 Å. The Tm(2)-O(14) bond length is 2.25 Å. The Tm(2)-O(2) bond length is 2.25 Å. The Tm(2)-O(20) bond length is 2.25 Å. The Tm(2)-O(23) bond length is 2.24 Å. The Tm(2)-O(6) bond length is 2.25 Å. In the third Tm site, Tm(3) is bonded to one O(11), one O(15), one O(18), one O(23), one O(4), and one O(5) atom to form distorted TmO6 octahedra that share  a cornercorner with one Tm(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(5)O6 octahedra,  a cornercorner with one Y(8)O6 octahedra,  an edgeedge with one Tm(2)O6 octahedra,  an edgeedge with one Y(10)O6 octahedra,  an edgeedge with one Y(13)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 53-55°. The Tm(3)-O(11) bond length is 2.23 Å. The Tm(3)-O(15) bond length is 2.23 Å. The Tm(3)-O(18) bond length is 2.29 Å. The Tm(3)-O(23) bond length is 2.30 Å. The Tm(3)-O(4) bond length is 2.22 Å. The Tm(3)-O(5) bond length is 2.21 Å. There are thirteen inequivalent Y sites. In the first Y site, Y(1) is bonded to one O(1), one O(11), one O(16), one O(22), one O(3), and one O(8) atom to form distorted YO6 octahedra that share  a cornercorner with one Tm(1)O6 octahedra,  a cornercorner with one Tm(2)O6 octahedra,  a cornercorner with one Tm(3)O6 octahedra,  a cornercorner with one Y(11)O6 octahedra,  a cornercorner with one Y(12)O6 octahedra,  a cornercorner with one Y(5)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(6)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(1) bond length is 2.27 Å. The Y(1)-O(11) bond length is 2.25 Å. The Y(1)-O(16) bond length is 2.24 Å. The Y(1)-O(22) bond length is 2.33 Å. The Y(1)-O(3) 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(1), one O(12), one O(13), one O(22), one O(24), and one O(4) atom to form YO6 octahedra that share  a cornercorner with one Tm(3)O6 octahedra,  a cornercorner with one Y(10)O6 octahedra,  a cornercorner with one Y(3)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(11)O6 octahedra,  an edgeedge with one Y(12)O6 octahedra,  an edgeedge with one Y(13)O6 octahedra,  an edgeedge with one Y(4)O6 octahedra, and  an edgeedge with one Y(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 55-57°. The Y(2)-O(1) bond length is 2.28 Å. The Y(2)-O(12) bond length is 2.28 Å. The Y(2)-O(13) bond length is 2.29 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(4) bond length is 2.29 Å. In the third Y site, Y(3) is bonded to one O(10), one O(14), one O(19), one O(2), one O(22), and one O(8) atom to form distorted YO6 octahedra that share  a cornercorner with one Tm(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(6)O6 octahedra,  a cornercorner with one Y(9)O6 octahedra,  an edgeedge with one Tm(2)O6 octahedra,  an edgeedge with one Y(1)O6 octahedra,  an edgeedge with one Y(11)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(3)-O(10) bond length is 2.27 Å. The Y(3)-O(14) bond length is 2.27 Å. The Y(3)-O(19) bond length is 2.24 Å. The Y(3)-O(2) bond length is 2.33 Å. The Y(3)-O(22) bond length is 2.25 Å. The Y(3)-O(8) bond length is 2.32 Å. In the fourth Y site, Y(4) is bonded to one O(1), one O(13), one O(3), one O(6), one O(7), and one O(9) atom to form distorted YO6 octahedra that share  a cornercorner with one Tm(2)O6 octahedra,  a cornercorner with one Y(10)O6 octahedra,  a cornercorner with one Y(13)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 Tm(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(5)O6 octahedra, and  an edgeedge with one Y(8)O6 octahedra. The corner-sharing octahedral tilt angles range from 54-56°. The Y(4)-O(1) bond length is 2.33 Å. The Y(4)-O(13) bond length is 2.27 Å. The Y(4)-O(3) bond length is 2.25 Å. The Y(4)-O(6) bond length is 2.24 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(1), one O(10), 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 Tm(2)O6 octahedra,  a cornercorner with one Tm(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(8)O6 octahedra,  an edgeedge with one Tm(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(9)O6 octahedra. The corner-sharing octahedral tilt angles range from 54-57°. The Y(5)-O(1) bond length is 2.24 Å. The Y(5)-O(10) bond length is 2.32 Å. The Y(5)-O(2) bond length is 2.25 Å. The Y(5)-O(21) bond length is 2.27 Å. The Y(5)-O(5) bond length is 2.28 Å. The Y(5)-O(9) bond length is 2.33 Å. In the sixth Y site, Y(6) is bonded to one O(11), 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 Tm(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(9)O6 octahedra,  an edgeedge with one Tm(2)O6 octahedra,  an edgeedge with one Tm(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(8)O6 octahedra. The corner-sharing octahedral tilt angles range from 55-56°. The Y(6)-O(11) bond length is 2.33 Å. The Y(6)-O(12) bond length is 2.33 Å. The Y(6)-O(17) bond length is 2.25 Å. The Y(6)-O(18) bond length is 2.23 Å. The Y(6)-O(22) bond length is 2.26 Å. The Y(6)-O(6) bond length is 2.27 Å. In the seventh Y site, Y(7) is bonded to one O(10), one O(15), one O(18), one O(21), one O(3), and one O(8) atom to form YO6 octahedra that share  a cornercorner with one Y(11)O6 octahedra,  a cornercorner with one Y(12)O6 octahedra,  a cornercorner with one Y(4)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 Tm(3)O6 octahedra,  an edgeedge with one Y(1)O6 octahedra,  an edgeedge with one Y(10)O6 octahedra,  an edgeedge with one Y(13)O6 octahedra,  an edgeedge with one Y(3)O6 octahedra, and  an edgeedge with one Y(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 56-57°. The Y(7)-O(10) bond length is 2.29 Å. The Y(7)-O(15) bond length is 2.29 Å. The Y(7)-O(18) bond length is 2.27 Å. The Y(7)-O(21) bond length is 2.28 Å. The Y(7)-O(3) 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(12), one O(15), one O(19), one O(2), one O(6), and one O(7) atom to form distorted YO6 octahedra that share  a cornercorner with one Tm(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(5)O6 octahedra,  a cornercorner with one Y(7)O6 octahedra,  an edgeedge with one Tm(1)O6 octahedra,  an edgeedge with one Tm(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(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 53-57°. The Y(8)-O(12) bond length is 2.24 Å. The Y(8)-O(15) bond length is 2.25 Å. The Y(8)-O(19) bond length is 2.32 Å. The Y(8)-O(2) bond length is 2.27 Å. The Y(8)-O(6) bond length is 2.33 Å. The Y(8)-O(7) bond length is 2.27 Å. In the ninth Y site, Y(9) is bonded to one O(10), one O(13), one O(17), one O(20), 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(6)O6 octahedra,  a cornercorner with one Y(7)O6 octahedra,  an edgeedge with one Tm(1)O6 octahedra,  an edgeedge with one Tm(2)O6 octahedra,  an edgeedge with one Tm(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(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 54-56°. The Y(9)-O(10) bond length is 2.25 Å. The Y(9)-O(13) bond length is 2.25 Å. The Y(9)-O(17) bond length is 2.27 Å. The Y(9)-O(20) bond length is 2.32 Å. The Y(9)-O(23) bond length is 2.27 Å. The Y(9)-O(5) bond length is 2.33 Å. In the tenth Y site, Y(10) is bonded to one O(15), one O(16), one O(19), one O(23), one O(24), and one O(3) atom to form distorted YO6 octahedra that share  a cornercorner with one Tm(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(9)O6 octahedra,  an edgeedge with one Tm(1)O6 octahedra,  an edgeedge with one Tm(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(8)O6 octahedra. The corner-sharing octahedral tilt angles range from 54-56°. The Y(10)-O(15) bond length is 2.32 Å. The Y(10)-O(16) bond length is 2.34 Å. The Y(10)-O(19) 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(3) bond length is 2.26 Å. In the eleventh Y site, Y(11) is bonded to one O(13), one O(14), one O(20), one O(4), one O(7), and one O(8) atom to form distorted YO6 octahedra that share  a cornercorner with one Tm(1)O6 octahedra,  a cornercorner with one Tm(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(8)O6 octahedra,  an edgeedge with one Tm(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(9)O6 octahedra. The corner-sharing octahedral tilt angles range from 54-56°. The Y(11)-O(13) bond length is 2.32 Å. The Y(11)-O(14) bond length is 2.33 Å. The Y(11)-O(20) bond length is 2.28 Å. The Y(11)-O(4) 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(12), one O(16), one O(17), one O(20), one O(21), and one O(24) atom to form distorted YO6 octahedra that share  a cornercorner with one Tm(2)O6 octahedra,  a cornercorner with one Y(1)O6 octahedra,  a cornercorner with one Y(11)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 Tm(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(6)O6 octahedra, and  an edgeedge with one Y(9)O6 octahedra. The corner-sharing octahedral tilt angles range from 54-56°. The Y(12)-O(12) bond length is 2.27 Å. The Y(12)-O(16) bond length is 2.26 Å. The Y(12)-O(17) bond length is 2.34 Å. The Y(12)-O(20) bond length is 2.24 Å. The Y(12)-O(21) bond length is 2.25 Å. The Y(12)-O(24) bond length is 2.33 Å. In the thirteenth Y site, Y(13) is bonded to one O(14), one O(18), one O(21), one O(24), one O(4), and one O(9) atom to form distorted YO6 octahedra that share  a cornercorner with one Tm(1)O6 octahedra,  a cornercorner with one Tm(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(6)O6 octahedra,  an edgeedge with one Tm(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(5)O6 octahedra, and  an edgeedge with one Y(7)O6 octahedra. The corner-sharing octahedral tilt angles range from 54-56°. The Y(13)-O(14) bond length is 2.24 Å. The Y(13)-O(18) bond length is 2.27 Å. The Y(13)-O(21) bond length is 2.33 Å. The Y(13)-O(24) bond length is 2.27 Å. The Y(13)-O(4) bond length is 2.33 Å. The Y(13)-O(9) bond length is 2.25 Å. There are twenty-four inequivalent O sites. In the first O site, O(1) is bonded to one Y(1), one Y(2), one Y(4), and one Y(5) atom to form OY4 trigonal pyramids that share  a cornercorner with one O(11)Y2Tm2 trigonal pyramid,  a cornercorner with one O(5)Y2Tm2 trigonal pyramid,  a cornercorner with one O(16)Y3Tm trigonal pyramid,  a cornercorner with one O(2)Y3Tm trigonal pyramid,  a cornercorner with one O(4)Y3Tm trigonal pyramid,  a cornercorner with one O(6)Y3Tm trigonal pyramid,  a cornercorner with one O(7)Y3Tm trigonal pyramid,  a cornercorner with one O(10)Y4 trigonal pyramid,  a cornercorner with one O(12)Y4 trigonal pyramid,  a cornercorner with one O(21)Y4 trigonal pyramid,  a cornercorner with one O(24)Y4 trigonal pyramid,  a cornercorner with one O(8)Y4 trigonal pyramid,  an edgeedge with one O(9)Y3Tm trigonal pyramid,  an edgeedge with one O(13)Y4 trigonal pyramid,  an edgeedge with one O(22)Y4 trigonal pyramid, and  an edgeedge with one O(3)Y4 trigonal pyramid. In the second O site, O(2) is bonded to one Tm(2), one Y(3), one Y(5), and one Y(8) atom to form OY3Tm trigonal pyramids that share  a cornercorner with one O(11)Y2Tm2 trigonal pyramid,  a cornercorner with one O(23)Y2Tm2 trigonal pyramid,  a cornercorner with one O(5)Y2Tm2 trigonal pyramid,  a cornercorner with one O(15)Y3Tm trigonal pyramid,  a cornercorner with one O(20)Y3Tm trigonal pyramid,  a cornercorner with one O(7)Y3Tm trigonal pyramid,  a cornercorner with one O(9)Y3Tm trigonal pyramid,  a cornercorner with one O(1)Y4 trigonal pyramid,  a cornercorner with one O(12)Y4 trigonal pyramid,  a cornercorner with one O(21)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(14)Y3Tm trigonal pyramid,  an edgeedge with one O(19)Y3Tm trigonal pyramid,  an edgeedge with one O(6)Y3Tm trigonal pyramid, and  an edgeedge with one O(10)Y4 trigonal pyramid. In the third O site, O(3) 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(18)Y3Tm tetrahedra,  a cornercorner with one O(11)Y2Tm2 trigonal pyramid,  a cornercorner with one O(23)Y2Tm2 trigonal pyramid,  a cornercorner with one O(19)Y3Tm trigonal pyramid,  a cornercorner with one O(6)Y3Tm trigonal pyramid,  a cornercorner with one O(7)Y3Tm trigonal pyramid,  a cornercorner with one O(9)Y3Tm trigonal pyramid,  a cornercorner with one O(10)Y4 trigonal pyramid,  a cornercorner with one O(13)Y4 trigonal pyramid,  a cornercorner with one O(21)Y4 trigonal pyramid,  a cornercorner with one O(22)Y4 trigonal pyramid,  a cornercorner with one O(24)Y4 trigonal pyramid,  an edgeedge with one O(15)Y3Tm trigonal pyramid,  an edgeedge with one O(16)Y3Tm trigonal pyramid,  an edgeedge with one O(1)Y4 trigonal pyramid, and  an edgeedge with one O(8)Y4 trigonal pyramid. In the fourth O site, O(4) is bonded to one Tm(3), one Y(11), one Y(13), and one Y(2) atom to form OY3Tm trigonal pyramids that share  a cornercorner with one O(11)Y2Tm2 trigonal pyramid,  a cornercorner with one O(23)Y2Tm2 trigonal pyramid,  a cornercorner with one O(5)Y2Tm2 trigonal pyramid,  a cornercorner with one O(15)Y3Tm trigonal pyramid,  a cornercorner with one O(20)Y3Tm trigonal pyramid,  a cornercorner with one O(7)Y3Tm trigonal pyramid,  a cornercorner with one O(9)Y3Tm trigonal pyramid,  a cornercorner with one O(1)Y4 trigonal pyramid,  a cornercorner with one O(12)Y4 trigonal pyramid,  a cornercorner with one O(21)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(18)Y3Tm tetrahedra,  an edgeedge with one O(14)Y3Tm trigonal pyramid,  an edgeedge with one O(13)Y4 trigonal pyramid, and  an edgeedge with one O(24)Y4 trigonal pyramid. In the fifth O site, O(5) is bonded to one Tm(1), one Tm(3), one Y(5), and one Y(9) atom to form OY2Tm2 trigonal pyramids that share  a cornercorner with one O(18)Y3Tm tetrahedra,  a cornercorner with one O(11)Y2Tm2 trigonal pyramid,  a cornercorner with one O(15)Y3Tm trigonal pyramid,  a cornercorner with one O(16)Y3Tm trigonal pyramid,  a cornercorner with one O(19)Y3Tm trigonal pyramid,  a cornercorner with one O(2)Y3Tm trigonal pyramid,  a cornercorner with one O(20)Y3Tm trigonal pyramid,  a cornercorner with one O(4)Y3Tm trigonal pyramid,  a cornercorner with one O(7)Y3Tm trigonal pyramid,  a cornercorner with one O(1)Y4 trigonal pyramid,  a cornercorner with one O(13)Y4 trigonal pyramid,  a cornercorner with one O(21)Y4 trigonal pyramid,  an edgeedge with one O(23)Y2Tm2 trigonal pyramid,  an edgeedge with one O(17)Y3Tm trigonal pyramid,  an edgeedge with one O(9)Y3Tm trigonal pyramid, and  an edgeedge with one O(10)Y4 trigonal pyramid. In the sixth O site, O(6) is bonded to one Tm(2), one Y(4), one Y(6), and one Y(8) atom to form OY3Tm trigonal pyramids that share  a cornercorner with one O(18)Y3Tm tetrahedra,  a cornercorner with one O(23)Y2Tm2 trigonal pyramid,  a cornercorner with one O(14)Y3Tm trigonal pyramid,  a cornercorner with one O(15)Y3Tm trigonal pyramid,  a cornercorner with one O(17)Y3Tm trigonal pyramid,  a cornercorner with one O(19)Y3Tm trigonal pyramid,  a cornercorner with one O(20)Y3Tm trigonal pyramid,  a cornercorner with one O(9)Y3Tm trigonal pyramid,  a cornercorner with one O(1)Y4 trigonal pyramid,  a cornercorner with one O(13)Y4 trigonal pyramid,  a cornercorner with one O(22)Y4 trigonal pyramid,  a cornercorner with one O(3)Y4 trigonal pyramid,  an edgeedge with one O(11)Y2Tm2 trigonal pyramid,  an edgeedge with one O(2)Y3Tm trigonal pyramid,  an edgeedge with one O(7)Y3Tm trigonal pyramid, and  an edgeedge with one O(12)Y4 trigonal pyramid. In the seventh O site, O(7) is bonded to one Tm(1), one Y(11), one Y(4), and one Y(8) atom to form OY3Tm trigonal pyramids that share  a cornercorner with one O(5)Y2Tm2 trigonal pyramid,  a cornercorner with one O(14)Y3Tm trigonal pyramid,  a cornercorner with one O(15)Y3Tm trigonal pyramid,  a cornercorner with one O(16)Y3Tm trigonal pyramid,  a cornercorner with one O(17)Y3Tm trigonal pyramid,  a cornercorner with one O(2)Y3Tm trigonal pyramid,  a cornercorner with one O(20)Y3Tm trigonal pyramid,  a cornercorner with one O(4)Y3Tm trigonal pyramid,  a cornercorner with one O(1)Y4 trigonal pyramid,  a cornercorner with one O(12)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(19)Y3Tm trigonal pyramid,  an edgeedge with one O(6)Y3Tm trigonal pyramid,  an edgeedge with one O(9)Y3Tm trigonal pyramid, and  an edgeedge with one O(13)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(18)Y3Tm tetrahedra,  a cornercorner with one O(11)Y2Tm2 trigonal pyramid,  a cornercorner with one O(15)Y3Tm trigonal pyramid,  a cornercorner with one O(16)Y3Tm trigonal pyramid,  a cornercorner with one O(19)Y3Tm trigonal pyramid,  a cornercorner with one O(2)Y3Tm trigonal pyramid,  a cornercorner with one O(20)Y3Tm trigonal pyramid,  a cornercorner with one O(4)Y3Tm trigonal pyramid,  a cornercorner with one O(7)Y3Tm trigonal pyramid,  a cornercorner with one O(1)Y4 trigonal pyramid,  a cornercorner with one O(13)Y4 trigonal pyramid,  a cornercorner with one O(21)Y4 trigonal pyramid,  an edgeedge with one O(14)Y3Tm trigonal pyramid,  an edgeedge with one O(10)Y4 trigonal pyramid,  an edgeedge with one O(22)Y4 trigonal pyramid, and  an edgeedge with one O(3)Y4 trigonal pyramid. In the ninth O site, O(9) is bonded to one Tm(1), one Y(13), one Y(4), and one Y(5) atom to form OY3Tm trigonal pyramids that share  a cornercorner with one O(18)Y3Tm tetrahedra,  a cornercorner with one O(14)Y3Tm trigonal pyramid,  a cornercorner with one O(16)Y3Tm trigonal pyramid,  a cornercorner with one O(17)Y3Tm trigonal pyramid,  a cornercorner with one O(19)Y3Tm trigonal pyramid,  a cornercorner with one O(2)Y3Tm trigonal pyramid,  a cornercorner with one O(4)Y3Tm trigonal pyramid,  a cornercorner with one O(6)Y3Tm trigonal pyramid,  a cornercorner with one O(10)Y4 trigonal pyramid,  a cornercorner with one O(13)Y4 trigonal pyramid,  a cornercorner with one O(24)Y4 trigonal pyramid,  a cornercorner with one O(3)Y4 trigonal pyramid,  an edgeedge with one O(5)Y2Tm2 trigonal pyramid,  an edgeedge with one O(7)Y3Tm trigonal pyramid,  an edgeedge with one O(1)Y4 trigonal pyramid, and  an edgeedge with one O(21)Y4 trigonal pyramid. In the tenth O site, O(10) is bonded to one Y(3), one Y(5), one Y(7), and one Y(9) atom to form OY4 trigonal pyramids that share  a cornercorner with one O(18)Y3Tm tetrahedra,  a cornercorner with one O(23)Y2Tm2 trigonal pyramid,  a cornercorner with one O(14)Y3Tm trigonal pyramid,  a cornercorner with one O(15)Y3Tm trigonal pyramid,  a cornercorner with one O(17)Y3Tm trigonal pyramid,  a cornercorner with one O(19)Y3Tm trigonal pyramid,  a cornercorner with one O(20)Y3Tm trigonal pyramid,  a cornercorner with one O(9)Y3Tm trigonal pyramid,  a cornercorner with one O(1)Y4 trigonal pyramid,  a cornercorner with one O(13)Y4 trigonal pyramid,  a cornercorner with one O(22)Y4 trigonal pyramid,  a cornercorner with one O(3)Y4 trigonal pyramid,  an edgeedge with one O(5)Y2Tm2 trigonal pyramid,  an edgeedge with one O(2)Y3Tm trigonal pyramid,  an edgeedge with one O(21)Y4 trigonal pyramid, and  an edgeedge with one O(8)Y4 trigonal pyramid. In the eleventh O site, O(11) is bonded to one Tm(2), one Tm(3), one Y(1), and one Y(6) atom to form OY2Tm2 trigonal pyramids that share  a cornercorner with one O(5)Y2Tm2 trigonal pyramid,  a cornercorner with one O(14)Y3Tm trigonal pyramid,  a cornercorner with one O(15)Y3Tm trigonal pyramid,  a cornercorner with one O(16)Y3Tm trigonal pyramid,  a cornercorner with one O(17)Y3Tm trigonal pyramid,  a cornercorner with one O(2)Y3Tm trigonal pyramid,  a cornercorner with one O(20)Y3Tm trigonal pyramid,  a cornercorner with one O(4)Y3Tm trigonal pyramid,  a cornercorner with one O(1)Y4 trigonal pyramid,  a cornercorner with one O(12)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(18)Y3Tm tetrahedra,  an edgeedge with one O(23)Y2Tm2 trigonal pyramid,  an edgeedge with one O(6)Y3Tm trigonal pyramid, and  an edgeedge with one O(22)Y4 trigonal pyramid. In the twelfth O site, O(12) is bonded to one Y(12), one Y(2), one Y(6), and one Y(8) atom to form OY4 trigonal pyramids that share  a cornercorner with one O(18)Y3Tm tetrahedra,  a cornercorner with one O(11)Y2Tm2 trigonal pyramid,  a cornercorner with one O(15)Y3Tm trigonal pyramid,  a cornercorner with one O(16)Y3Tm trigonal pyramid,  a cornercorner with one O(19)Y3Tm trigonal pyramid,  a cornercorner with one O(2)Y3Tm trigonal pyramid,  a cornercorner with one O(20)Y3Tm trigonal pyramid,  a cornercorner with one O(4)Y3Tm trigonal pyramid,  a cornercorner with one O(7)Y3Tm trigonal pyramid,  a cornercorner with one O(1)Y4 trigonal pyramid,  a cornercorner with one O(13)Y4 trigonal pyramid,  a cornercorner with one O(21)Y4 trigonal pyramid,  an edgeedge with one O(17)Y3Tm trigonal pyramid,  an edgeedge with one O(6)Y3Tm trigonal pyramid,  an edgeedge with one O(22)Y4 trigonal pyramid, and  an edgeedge with one O(24)Y4 trigonal pyramid. In the thirteenth O site, O(13) is bonded to one Y(11), one Y(2), one Y(4), and one Y(9) atom to form OY4 trigonal pyramids that share  a cornercorner with one O(23)Y2Tm2 trigonal pyramid,  a cornercorner with one O(5)Y2Tm2 trigonal pyramid,  a cornercorner with one O(14)Y3Tm trigonal pyramid,  a cornercorner with one O(17)Y3Tm trigonal pyramid,  a cornercorner with one O(6)Y3Tm trigonal pyramid,  a cornercorner with one O(9)Y3Tm trigonal pyramid,  a cornercorner with one O(10)Y4 trigonal pyramid,  a cornercorner with one O(12)Y4 trigonal pyramid,  a cornercorner with one O(22)Y4 trigonal pyramid,  a cornercorner with one O(24)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)Y3Tm trigonal pyramid,  an edgeedge with one O(4)Y3Tm trigonal pyramid,  an edgeedge with one O(7)Y3Tm trigonal pyramid, and  an edgeedge with one O(1)Y4 trigonal pyramid. In the fourteenth O site, O(14) is bonded to one Tm(2), one Y(11), one Y(13), and one Y(3) atom to form OY3Tm trigonal pyramids that share  a cornercorner with one O(18)Y3Tm tetrahedra,  a cornercorner with one O(11)Y2Tm2 trigonal pyramid,  a cornercorner with one O(23)Y2Tm2 trigonal pyramid,  a cornercorner with one O(19)Y3Tm trigonal pyramid,  a cornercorner with one O(6)Y3Tm trigonal pyramid,  a cornercorner with one O(7)Y3Tm trigonal pyramid,  a cornercorner with one O(9)Y3Tm trigonal pyramid,  a cornercorner with one O(10)Y4 trigonal pyramid,  a cornercorner with one O(13)Y4 trigonal pyramid,  a cornercorner with one O(21)Y4 trigonal pyramid,  a cornercorner with one O(22)Y4 trigonal pyramid,  a cornercorner with one O(24)Y4 trigonal pyramid,  an edgeedge with one O(2)Y3Tm trigonal pyramid,  an edgeedge with one O(20)Y3Tm trigonal pyramid,  an edgeedge with one O(4)Y3Tm trigonal pyramid, and  an edgeedge with one O(8)Y4 trigonal pyramid. In the fifteenth O site, O(15) is bonded to one Tm(3), one Y(10), one Y(7), and one Y(8) atom to form OY3Tm trigonal pyramids that share  a cornercorner with one O(11)Y2Tm2 trigonal pyramid,  a cornercorner with one O(5)Y2Tm2 trigonal pyramid,  a cornercorner with one O(16)Y3Tm trigonal pyramid,  a cornercorner with one O(2)Y3Tm trigonal pyramid,  a cornercorner with one O(4)Y3Tm trigonal pyramid,  a cornercorner with one O(6)Y3Tm trigonal pyramid,  a cornercorner with one O(7)Y3Tm trigonal pyramid,  a cornercorner with one O(10)Y4 trigonal pyramid,  a cornercorner with one O(12)Y4 trigonal pyramid,  a cornercorner with one O(21)Y4 trigonal pyramid,  a cornercorner with one O(24)Y4 trigonal pyramid,  a cornercorner with one O(8)Y4 trigonal pyramid,  an edgeedge with one O(18)Y3Tm tetrahedra,  an edgeedge with one O(23)Y2Tm2 trigonal pyramid,  an edgeedge with one O(19)Y3Tm trigonal pyramid, and  an edgeedge with one O(3)Y4 trigonal pyramid. In the sixteenth O site, O(16) is bonded to one Tm(1), one Y(1), one Y(10), and one Y(12) atom to form OY3Tm trigonal pyramids that share  a cornercorner with one O(11)Y2Tm2 trigonal pyramid,  a cornercorner with one O(23)Y2Tm2 trigonal pyramid,  a cornercorner with one O(5)Y2Tm2 trigonal pyramid,  a cornercorner with one O(15)Y3Tm trigonal pyramid,  a cornercorner with one O(20)Y3Tm trigonal pyramid,  a cornercorner with one O(7)Y3Tm trigonal pyramid,  a cornercorner with one O(9)Y3Tm trigonal pyramid,  a cornercorner with one O(1)Y4 trigonal pyramid,  a cornercorner with one O(12)Y4 trigonal pyramid,  a cornercorner with one O(21)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)Y3Tm trigonal pyramid,  an edgeedge with one O(19)Y3Tm trigonal pyramid,  an edgeedge with one O(24)Y4 trigonal pyramid, and  an edgeedge with one O(3)Y4 trigonal pyramid. In the seventeenth O site, O(17) is bonded to one Tm(1), one Y(12), one Y(6), and one Y(9) atom to form OY3Tm trigonal pyramids that share  a cornercorner with one O(18)Y3Tm tetrahedra,  a cornercorner with one O(11)Y2Tm2 trigonal pyramid,  a cornercorner with one O(23)Y2Tm2 trigonal pyramid,  a cornercorner with one O(19)Y3Tm trigonal pyramid,  a cornercorner with one O(6)Y3Tm trigonal pyramid,  a cornercorner with one O(7)Y3Tm trigonal pyramid,  a cornercorner with one O(9)Y3Tm trigonal pyramid,  a cornercorner with one O(10)Y4 trigonal pyramid,  a cornercorner with one O(13)Y4 trigonal pyramid,  a cornercorner with one O(21)Y4 trigonal pyramid,  a cornercorner with one O(22)Y4 trigonal pyramid,  a cornercorner with one O(24)Y4 trigonal pyramid,  an edgeedge with one O(5)Y2Tm2 trigonal pyramid,  an edgeedge with one O(16)Y3Tm trigonal pyramid,  an edgeedge with one O(20)Y3Tm trigonal pyramid, and  an edgeedge with one O(12)Y4 trigonal pyramid. In the eighteenth O site, O(18) is bonded to one Tm(3), one Y(13), one Y(6), and one Y(7) atom to form OY3Tm tetrahedra that share  a cornercorner with one O(23)Y2Tm2 trigonal pyramid,  a cornercorner with one O(5)Y2Tm2 trigonal pyramid,  a cornercorner with one O(14)Y3Tm trigonal pyramid,  a cornercorner with one O(17)Y3Tm trigonal pyramid,  a cornercorner with one O(6)Y3Tm trigonal pyramid,  a cornercorner with one O(9)Y3Tm trigonal pyramid,  a cornercorner with one O(10)Y4 trigonal pyramid,  a cornercorner with one O(12)Y4 trigonal pyramid,  a cornercorner with one O(22)Y4 trigonal pyramid,  a cornercorner with one O(24)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(11)Y2Tm2 trigonal pyramid,  an edgeedge with one O(15)Y3Tm trigonal pyramid,  an edgeedge with one O(4)Y3Tm trigonal pyramid, and  an edgeedge with one O(21)Y4 trigonal pyramid. In the nineteenth O site, O(19) is bonded to one Tm(1), one Y(10), one Y(3), and one Y(8) atom to form OY3Tm trigonal pyramids that share  a cornercorner with one O(23)Y2Tm2 trigonal pyramid,  a cornercorner with one O(5)Y2Tm2 trigonal pyramid,  a cornercorner with one O(14)Y3Tm trigonal pyramid,  a cornercorner with one O(17)Y3Tm trigonal pyramid,  a cornercorner with one O(6)Y3Tm trigonal pyramid,  a cornercorner with one O(9)Y3Tm trigonal pyramid,  a cornercorner with one O(10)Y4 trigonal pyramid,  a cornercorner with one O(12)Y4 trigonal pyramid,  a cornercorner with one O(22)Y4 trigonal pyramid,  a cornercorner with one O(24)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(15)Y3Tm trigonal pyramid,  an edgeedge with one O(16)Y3Tm trigonal pyramid,  an edgeedge with one O(2)Y3Tm trigonal pyramid, and  an edgeedge with one O(7)Y3Tm trigonal pyramid. In the twentieth O site, O(20) is bonded to one Tm(2), one Y(11), one Y(12), and one Y(9) atom to form OY3Tm trigonal pyramids that share  a cornercorner with one O(11)Y2Tm2 trigonal pyramid,  a cornercorner with one O(5)Y2Tm2 trigonal pyramid,  a cornercorner with one O(16)Y3Tm trigonal pyramid,  a cornercorner with one O(2)Y3Tm trigonal pyramid,  a cornercorner with one O(4)Y3Tm trigonal pyramid,  a cornercorner with one O(6)Y3Tm trigonal pyramid,  a cornercorner with one O(7)Y3Tm trigonal pyramid,  a cornercorner with one O(10)Y4 trigonal pyramid,  a cornercorner with one O(12)Y4 trigonal pyramid,  a cornercorner with one O(21)Y4 trigonal pyramid,  a cornercorner with one O(24)Y4 trigonal pyramid,  a cornercorner with one O(8)Y4 trigonal pyramid,  an edgeedge with one O(23)Y2Tm2 trigonal pyramid,  an edgeedge with one O(14)Y3Tm trigonal pyramid,  an edgeedge with one O(17)Y3Tm trigonal pyramid, and  an edgeedge with one O(13)Y4 trigonal pyramid. In the twenty-first O site, O(21) 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(5)Y2Tm2 trigonal pyramid,  a cornercorner with one O(14)Y3Tm trigonal pyramid,  a cornercorner with one O(15)Y3Tm trigonal pyramid,  a cornercorner with one O(16)Y3Tm trigonal pyramid,  a cornercorner with one O(17)Y3Tm trigonal pyramid,  a cornercorner with one O(2)Y3Tm trigonal pyramid,  a cornercorner with one O(20)Y3Tm trigonal pyramid,  a cornercorner with one O(4)Y3Tm trigonal pyramid,  a cornercorner with one O(1)Y4 trigonal pyramid,  a cornercorner with one O(12)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(18)Y3Tm tetrahedra,  an edgeedge with one O(9)Y3Tm trigonal pyramid,  an edgeedge with one O(10)Y4 trigonal pyramid, and  an edgeedge with one O(24)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(6) atom to form OY4 trigonal pyramids that share  a cornercorner with one O(18)Y3Tm tetrahedra,  a cornercorner with one O(14)Y3Tm trigonal pyramid,  a cornercorner with one O(16)Y3Tm trigonal pyramid,  a cornercorner with one O(17)Y3Tm trigonal pyramid,  a cornercorner with one O(19)Y3Tm trigonal pyramid,  a cornercorner with one O(2)Y3Tm trigonal pyramid,  a cornercorner with one O(4)Y3Tm trigonal pyramid,  a cornercorner with one O(6)Y3Tm trigonal pyramid,  a cornercorner with one O(10)Y4 trigonal pyramid,  a cornercorner with one O(13)Y4 trigonal pyramid,  a cornercorner with one O(24)Y4 trigonal pyramid,  a cornercorner with one O(3)Y4 trigonal pyramid,  an edgeedge with one O(11)Y2Tm2 trigonal pyramid,  an edgeedge with one O(1)Y4 trigonal pyramid,  an edgeedge with one O(12)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 Tm(2), one Tm(3), one Y(10), and one Y(9) atom to form OY2Tm2 trigonal pyramids that share  a cornercorner with one O(18)Y3Tm tetrahedra,  a cornercorner with one O(14)Y3Tm trigonal pyramid,  a cornercorner with one O(16)Y3Tm trigonal pyramid,  a cornercorner with one O(17)Y3Tm trigonal pyramid,  a cornercorner with one O(19)Y3Tm trigonal pyramid,  a cornercorner with one O(2)Y3Tm trigonal pyramid,  a cornercorner with one O(4)Y3Tm trigonal pyramid,  a cornercorner with one O(6)Y3Tm trigonal pyramid,  a cornercorner with one O(10)Y4 trigonal pyramid,  a cornercorner with one O(13)Y4 trigonal pyramid,  a cornercorner with one O(24)Y4 trigonal pyramid,  a cornercorner with one O(3)Y4 trigonal pyramid,  an edgeedge with one O(11)Y2Tm2 trigonal pyramid,  an edgeedge with one O(5)Y2Tm2 trigonal pyramid,  an edgeedge with one O(15)Y3Tm trigonal pyramid, and  an edgeedge with one O(20)Y3Tm trigonal pyramid. In the twenty-fourth O site, O(24) is bonded to one Y(10), one Y(12), one Y(13), and one Y(2) atom to form OY4 trigonal pyramids that share  a cornercorner with one O(18)Y3Tm tetrahedra,  a cornercorner with one O(23)Y2Tm2 trigonal pyramid,  a cornercorner with one O(14)Y3Tm trigonal pyramid,  a cornercorner with one O(15)Y3Tm trigonal pyramid,  a cornercorner with one O(17)Y3Tm trigonal pyramid,  a cornercorner with one O(19)Y3Tm trigonal pyramid,  a cornercorner with one O(20)Y3Tm trigonal pyramid,  a cornercorner with one O(9)Y3Tm trigonal pyramid,  a cornercorner with one O(1)Y4 trigonal pyramid,  a cornercorner with one O(13)Y4 trigonal pyramid,  a cornercorner with one O(22)Y4 trigonal pyramid,  a cornercorner with one O(3)Y4 trigonal pyramid,  an edgeedge with one O(16)Y3Tm trigonal pyramid,  an edgeedge with one O(4)Y3Tm trigonal pyramid,  an edgeedge with one O(12)Y4 trigonal pyramid, and  an edgeedge with one O(21)Y4 trigonal pyramid.