Gd3Y13O24 is Spinel-like structured and crystallizes in the triclinic P1 space group. There are three inequivalent Gd sites. In the first Gd site, Gd(1) is bonded to one O(15), one O(16), one O(20), one O(3), one O(7), and one O(8) atom to form distorted GdO6 octahedra that share  a cornercorner with one Gd(2)O6 octahedra,  a cornercorner with one Y(13)O6 octahedra,  a cornercorner with one Y(2)O6 octahedra,  a cornercorner with one Y(7)O6 octahedra,  a cornercorner with one Y(8)O6 octahedra,  a cornercorner with one Y(9)O6 octahedra,  an edgeedge with one Gd(3)O6 octahedra,  an edgeedge with one Y(1)O6 octahedra,  an edgeedge with one Y(10)O6 octahedra,  an edgeedge with one Y(11)O6 octahedra,  an edgeedge with one Y(3)O6 octahedra, and  an edgeedge with one Y(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 55-57°. In the second Gd site, Gd(2) is bonded to one O(13), one O(17), one O(20), one O(22), one O(24), and one O(9) atom to form distorted GdO6 octahedra that share  a cornercorner with one Gd(1)O6 octahedra,  a cornercorner with one Y(10)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,  a cornercorner with one Y(9)O6 octahedra,  an edgeedge with one Gd(3)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(5)O6 octahedra, and  an edgeedge with one Y(8)O6 octahedra. The corner-sharing octahedral tilt angles range from 54-56°. In the third Gd site, Gd(3) is bonded to one O(11), one O(15), one O(18), one O(22), one O(24), and one O(3) atom to form distorted GdO6 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(4)O6 octahedra,  a cornercorner with one Y(5)O6 octahedra,  a cornercorner with one Y(8)O6 octahedra,  an edgeedge with one Gd(1)O6 octahedra,  an edgeedge with one Gd(2)O6 octahedra,  an edgeedge with one Y(1)O6 octahedra,  an edgeedge with one Y(13)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 54-57°. There are thirteen inequivalent Y sites. In the first Y site, Y(1) is bonded to one O(1), one O(16), one O(21), one O(24), one O(3), and one O(9) 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(13)O6 octahedra,  a cornercorner with one Y(3)O6 octahedra,  a cornercorner with one Y(6)O6 octahedra,  a cornercorner with one Y(9)O6 octahedra,  an edgeedge with one Gd(1)O6 octahedra,  an edgeedge with one Gd(2)O6 octahedra,  an edgeedge with one Gd(3)O6 octahedra,  an edgeedge with one Y(2)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 55-56°. In the second Y site, Y(2) is bonded to one O(1), one O(12), one O(13), one O(21), one O(4), and one O(8) atom to form distorted YO6 octahedra that share  a cornercorner with one Gd(1)O6 octahedra,  a cornercorner with one Gd(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(8)O6 octahedra,  an edgeedge with one Y(1)O6 octahedra,  an edgeedge with one Y(12)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 third Y site, Y(3) is bonded to one O(10), one O(15), one O(19), one O(2), one O(21), and one O(8) atom to form distorted YO6 octahedra that share  a cornercorner with one Gd(3)O6 octahedra,  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(5)O6 octahedra,  a cornercorner with one Y(8)O6 octahedra,  an edgeedge with one Gd(1)O6 octahedra,  an edgeedge with one Y(10)O6 octahedra,  an edgeedge with one Y(2)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(1), one O(11), one O(16), one O(4), one O(6), and one O(7) atom to form distorted YO6 octahedra that share  a cornercorner with one Gd(3)O6 octahedra,  a cornercorner with one Y(10)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,  a cornercorner with one Y(7)O6 octahedra,  an edgeedge with one Gd(1)O6 octahedra,  an edgeedge with one Y(1)O6 octahedra,  an edgeedge with one Y(2)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 54-57°. In the fifth Y site, Y(5) is bonded to one O(12), one O(17), one O(18), one O(21), one O(6), and one O(9) atom to form distorted YO6 octahedra that share  a cornercorner with one Gd(3)O6 octahedra,  a cornercorner with one Y(11)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 Gd(2)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(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(10), one O(11), one O(2), one O(22), and one O(5) atom to form distorted YO6 octahedra that share  a cornercorner with one Gd(2)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(2)O6 octahedra,  a cornercorner with one Y(9)O6 octahedra,  an edgeedge with one Gd(3)O6 octahedra,  an edgeedge with one Y(11)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(10), one O(14), one O(18), one O(22), one O(4), and one O(8) atom to form YO6 octahedra that share  a cornercorner with one Gd(1)O6 octahedra,  a cornercorner with one Gd(2)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(9)O6 octahedra,  an edgeedge with one Gd(3)O6 octahedra,  an edgeedge with one Y(12)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, and  an edgeedge with one Y(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 55-57°. In the eighth Y site, Y(8) is bonded to one O(11), one O(13), one O(17), one O(19), one O(5), and one O(7) atom to form YO6 octahedra that share  a cornercorner with one Gd(1)O6 octahedra,  a cornercorner with one Gd(3)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(5)O6 octahedra,  an edgeedge with one Gd(2)O6 octahedra,  an edgeedge with one Y(11)O6 octahedra,  an edgeedge with one Y(12)O6 octahedra,  an edgeedge with one Y(4)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 55-57°. In the ninth Y site, Y(9) is bonded to one O(14), one O(19), one O(2), one O(6), one O(7), and one O(9) atom to form distorted YO6 octahedra that share  a cornercorner with one Gd(1)O6 octahedra,  a cornercorner with one Gd(2)O6 octahedra,  a cornercorner with one Y(1)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,  an edgeedge with one Y(10)O6 octahedra,  an edgeedge with one Y(12)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(8)O6 octahedra. The corner-sharing octahedral tilt angles are 55°. In the tenth Y site, Y(10) is bonded to one O(12), one O(15), one O(2), one O(20), one O(23), and one O(6) atom to form YO6 octahedra that share  a cornercorner with one Gd(2)O6 octahedra,  a cornercorner with one Gd(3)O6 octahedra,  a cornercorner with one Y(12)O6 octahedra,  a cornercorner with one Y(2)O6 octahedra,  a cornercorner with one Y(4)O6 octahedra,  a cornercorner with one Y(6)O6 octahedra,  an edgeedge with one Gd(1)O6 octahedra,  an edgeedge with one Y(11)O6 octahedra,  an edgeedge with one Y(13)O6 octahedra,  an edgeedge with one Y(3)O6 octahedra,  an edgeedge with one Y(5)O6 octahedra, and  an edgeedge with one Y(9)O6 octahedra. The corner-sharing octahedral tilt angles range from 55-57°. In the eleventh Y site, Y(11) is bonded to one O(10), one O(16), 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(1)O6 octahedra,  a cornercorner with one Y(12)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 Gd(1)O6 octahedra,  an edgeedge with one Gd(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, 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(13), one O(14), one O(19), one O(23), one O(24), and one O(4) atom to form distorted YO6 octahedra that share  a cornercorner with one Gd(3)O6 octahedra,  a cornercorner with one Y(1)O6 octahedra,  a cornercorner with one Y(10)O6 octahedra,  a cornercorner with one Y(11)O6 octahedra,  a cornercorner with one Y(3)O6 octahedra,  a cornercorner with one Y(4)O6 octahedra,  an edgeedge with one Gd(2)O6 octahedra,  an edgeedge with one Y(13)O6 octahedra,  an edgeedge with one Y(2)O6 octahedra,  an edgeedge with one Y(7)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 thirteenth Y site, Y(13) is bonded to one O(12), one O(14), 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 Gd(1)O6 octahedra,  a cornercorner with one Y(1)O6 octahedra,  a cornercorner with one Y(2)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 Gd(3)O6 octahedra,  an edgeedge with one Y(10)O6 octahedra,  an edgeedge with one Y(11)O6 octahedra,  an edgeedge with one Y(12)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(6) atom to form OY4 trigonal pyramids that share  a cornercorner with one O(22)Gd2Y2 trigonal pyramid,  a cornercorner with one O(24)Gd2Y2 trigonal pyramid,  a cornercorner with one O(3)Gd2Y2 trigonal pyramid,  a cornercorner with one O(13)GdY3 trigonal pyramid,  a cornercorner with one O(7)GdY3 trigonal pyramid,  a cornercorner with one O(8)GdY3 trigonal pyramid,  a cornercorner with one O(9)GdY3 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(2)Y4 trigonal pyramid,  a cornercorner with one O(5)Y4 trigonal pyramid,  a cornercorner with one O(6)Y4 trigonal pyramid,  an edgeedge with one O(11)GdY3 trigonal pyramid,  an edgeedge with one O(16)GdY3 trigonal pyramid,  an edgeedge with one O(21)Y4 trigonal pyramid, and  an edgeedge with one O(4)Y4 trigonal pyramid. In the second O site, O(2) is bonded to one Y(10), one Y(3), one Y(6), and one Y(9) atom to form OY4 trigonal pyramids that share  a cornercorner with one O(20)Gd2Y2 tetrahedra,  a cornercorner with one O(22)Gd2Y2 trigonal pyramid,  a cornercorner with one O(11)GdY3 trigonal pyramid,  a cornercorner with one O(7)GdY3 trigonal pyramid,  a cornercorner with one O(8)GdY3 trigonal pyramid,  a cornercorner with one O(9)GdY3 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(14)Y4 trigonal pyramid,  a cornercorner with one O(21)Y4 trigonal pyramid,  a cornercorner with one O(23)Y4 trigonal pyramid,  a cornercorner with one O(5)Y4 trigonal pyramid,  an edgeedge with one O(15)Gd2Y2 trigonal pyramid,  an edgeedge with one O(10)Y4 trigonal pyramid,  an edgeedge with one O(19)Y4 trigonal pyramid, and  an edgeedge with one O(6)Y4 trigonal pyramid. In the third O site, O(3) is bonded to one Gd(1), one Gd(3), one Y(1), and one Y(13) atom to form OGd2Y2 trigonal pyramids that share  a cornercorner with one O(20)Gd2Y2 tetrahedra,  a cornercorner with one O(22)Gd2Y2 trigonal pyramid,  a cornercorner with one O(11)GdY3 trigonal pyramid,  a cornercorner with one O(7)GdY3 trigonal pyramid,  a cornercorner with one O(8)GdY3 trigonal pyramid,  a cornercorner with one O(9)GdY3 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(14)Y4 trigonal pyramid,  a cornercorner with one O(21)Y4 trigonal pyramid,  a cornercorner with one O(23)Y4 trigonal pyramid,  a cornercorner with one O(5)Y4 trigonal pyramid,  an edgeedge with one O(15)Gd2Y2 trigonal pyramid,  an edgeedge with one O(24)Gd2Y2 trigonal pyramid,  an edgeedge with one O(16)GdY3 trigonal pyramid, and  an edgeedge with one O(18)GdY3 trigonal pyramid. In the fourth O site, O(4) is bonded to one Y(12), one Y(2), one Y(4), and one Y(7) atom to form OY4 trigonal pyramids that share  a cornercorner with one O(22)Gd2Y2 trigonal pyramid,  a cornercorner with one O(24)Gd2Y2 trigonal pyramid,  a cornercorner with one O(11)GdY3 trigonal pyramid,  a cornercorner with one O(16)GdY3 trigonal pyramid,  a cornercorner with one O(18)GdY3 trigonal pyramid,  a cornercorner with one O(7)GdY3 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(19)Y4 trigonal pyramid,  a cornercorner with one O(21)Y4 trigonal pyramid,  a cornercorner with one O(23)Y4 trigonal pyramid,  a cornercorner with one O(6)Y4 trigonal pyramid,  an edgeedge with one O(13)GdY3 trigonal pyramid,  an edgeedge with one O(8)GdY3 trigonal pyramid,  an edgeedge with one O(1)Y4 trigonal pyramid, and  an edgeedge with one O(14)Y4 trigonal pyramid. In the fifth O site, O(5) is bonded to one Y(11), one Y(13), one Y(6), and one Y(8) atom to form OY4 trigonal pyramids that share  a cornercorner with one O(20)Gd2Y2 tetrahedra,  a cornercorner with one O(22)Gd2Y2 trigonal pyramid,  a cornercorner with one O(3)Gd2Y2 trigonal pyramid,  a cornercorner with one O(13)GdY3 trigonal pyramid,  a cornercorner with one O(16)GdY3 trigonal pyramid,  a cornercorner with one O(18)GdY3 trigonal pyramid,  a cornercorner with one O(7)GdY3 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(14)Y4 trigonal pyramid,  a cornercorner with one O(19)Y4 trigonal pyramid,  a cornercorner with one O(2)Y4 trigonal pyramid,  an edgeedge with one O(11)GdY3 trigonal pyramid,  an edgeedge with one O(17)GdY3 trigonal pyramid,  an edgeedge with one O(10)Y4 trigonal pyramid, and  an edgeedge with one O(23)Y4 trigonal pyramid. In the sixth O site, O(6) is bonded to one Y(10), one Y(4), one Y(5), and one Y(9) atom to form OY4 trigonal pyramids that share  a cornercorner with one O(20)Gd2Y2 tetrahedra,  a cornercorner with one O(15)Gd2Y2 trigonal pyramid,  a cornercorner with one O(11)GdY3 trigonal pyramid,  a cornercorner with one O(16)GdY3 trigonal pyramid,  a cornercorner with one O(17)GdY3 trigonal pyramid,  a cornercorner with one O(18)GdY3 trigonal pyramid,  a cornercorner with one O(1)Y4 trigonal pyramid,  a cornercorner with one O(14)Y4 trigonal pyramid,  a cornercorner with one O(19)Y4 trigonal pyramid,  a cornercorner with one O(21)Y4 trigonal pyramid,  a cornercorner with one O(23)Y4 trigonal pyramid,  a cornercorner with one O(4)Y4 trigonal pyramid,  an edgeedge with one O(7)GdY3 trigonal pyramid,  an edgeedge with one O(9)GdY3 trigonal pyramid,  an edgeedge with one O(12)Y4 trigonal pyramid, and  an edgeedge with one O(2)Y4 trigonal pyramid. In the seventh O site, O(7) is bonded to one Gd(1), one Y(4), one Y(8), and one Y(9) atom to form OGdY3 trigonal pyramids that share  a cornercorner with one O(20)Gd2Y2 tetrahedra,  a cornercorner with one O(15)Gd2Y2 trigonal pyramid,  a cornercorner with one O(3)Gd2Y2 trigonal pyramid,  a cornercorner with one O(13)GdY3 trigonal pyramid,  a cornercorner with one O(17)GdY3 trigonal pyramid,  a cornercorner with one O(8)GdY3 trigonal pyramid,  a cornercorner with one O(9)GdY3 trigonal pyramid,  a cornercorner with one O(1)Y4 trigonal pyramid,  a cornercorner with one O(14)Y4 trigonal pyramid,  a cornercorner with one O(2)Y4 trigonal pyramid,  a cornercorner with one O(4)Y4 trigonal pyramid,  a cornercorner with one O(5)Y4 trigonal pyramid,  an edgeedge with one O(11)GdY3 trigonal pyramid,  an edgeedge with one O(16)GdY3 trigonal pyramid,  an edgeedge with one O(19)Y4 trigonal pyramid, and  an edgeedge with one O(6)Y4 trigonal pyramid. In the eighth O site, O(8) is bonded to one Gd(1), one Y(2), one Y(3), and one Y(7) atom to form OGdY3 trigonal pyramids that share  a cornercorner with one O(20)Gd2Y2 tetrahedra,  a cornercorner with one O(22)Gd2Y2 trigonal pyramid,  a cornercorner with one O(3)Gd2Y2 trigonal pyramid,  a cornercorner with one O(13)GdY3 trigonal pyramid,  a cornercorner with one O(16)GdY3 trigonal pyramid,  a cornercorner with one O(18)GdY3 trigonal pyramid,  a cornercorner with one O(7)GdY3 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(14)Y4 trigonal pyramid,  a cornercorner with one O(19)Y4 trigonal pyramid,  a cornercorner with one O(2)Y4 trigonal pyramid,  an edgeedge with one O(15)Gd2Y2 trigonal pyramid,  an edgeedge with one O(10)Y4 trigonal pyramid,  an edgeedge with one O(21)Y4 trigonal pyramid, and  an edgeedge with one O(4)Y4 trigonal pyramid. In the ninth O site, O(9) is bonded to one Gd(2), one Y(1), one Y(5), and one Y(9) atom to form OGdY3 trigonal pyramids that share  a cornercorner with one O(20)Gd2Y2 tetrahedra,  a cornercorner with one O(22)Gd2Y2 trigonal pyramid,  a cornercorner with one O(3)Gd2Y2 trigonal pyramid,  a cornercorner with one O(13)GdY3 trigonal pyramid,  a cornercorner with one O(16)GdY3 trigonal pyramid,  a cornercorner with one O(18)GdY3 trigonal pyramid,  a cornercorner with one O(7)GdY3 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(14)Y4 trigonal pyramid,  a cornercorner with one O(19)Y4 trigonal pyramid,  a cornercorner with one O(2)Y4 trigonal pyramid,  an edgeedge with one O(24)Gd2Y2 trigonal pyramid,  an edgeedge with one O(17)GdY3 trigonal pyramid,  an edgeedge with one O(21)Y4 trigonal pyramid, and  an edgeedge with one O(6)Y4 trigonal pyramid. In the tenth O site, O(10) is bonded to one Y(11), one Y(3), one Y(6), and one Y(7) atom to form OY4 trigonal pyramids that share  a cornercorner with one O(20)Gd2Y2 tetrahedra,  a cornercorner with one O(15)Gd2Y2 trigonal pyramid,  a cornercorner with one O(11)GdY3 trigonal pyramid,  a cornercorner with one O(16)GdY3 trigonal pyramid,  a cornercorner with one O(17)GdY3 trigonal pyramid,  a cornercorner with one O(18)GdY3 trigonal pyramid,  a cornercorner with one O(1)Y4 trigonal pyramid,  a cornercorner with one O(14)Y4 trigonal pyramid,  a cornercorner with one O(19)Y4 trigonal pyramid,  a cornercorner with one O(21)Y4 trigonal pyramid,  a cornercorner with one O(23)Y4 trigonal pyramid,  a cornercorner with one O(4)Y4 trigonal pyramid,  an edgeedge with one O(22)Gd2Y2 trigonal pyramid,  an edgeedge with one O(8)GdY3 trigonal pyramid,  an edgeedge with one O(2)Y4 trigonal pyramid, and  an edgeedge with one O(5)Y4 trigonal pyramid. In the eleventh O site, O(11) is bonded to one Gd(3), one Y(4), one Y(6), and one Y(8) atom to form OGdY3 trigonal pyramids that share  a cornercorner with one O(15)Gd2Y2 trigonal pyramid,  a cornercorner with one O(24)Gd2Y2 trigonal pyramid,  a cornercorner with one O(3)Gd2Y2 trigonal pyramid,  a cornercorner with one O(13)GdY3 trigonal pyramid,  a cornercorner with one O(16)GdY3 trigonal pyramid,  a cornercorner with one O(17)GdY3 trigonal pyramid,  a cornercorner with one O(18)GdY3 trigonal pyramid,  a cornercorner with one O(10)Y4 trigonal pyramid,  a cornercorner with one O(19)Y4 trigonal pyramid,  a cornercorner with one O(2)Y4 trigonal pyramid,  a cornercorner with one O(4)Y4 trigonal pyramid,  a cornercorner with one O(6)Y4 trigonal pyramid,  an edgeedge with one O(22)Gd2Y2 trigonal pyramid,  an edgeedge with one O(7)GdY3 trigonal pyramid,  an edgeedge with one O(1)Y4 trigonal pyramid, and  an edgeedge with one O(5)Y4 trigonal pyramid. In the twelfth O site, O(12) is bonded to one Y(10), one Y(13), one Y(2), and one Y(5) atom to form OY4 trigonal pyramids that share  a cornercorner with one O(20)Gd2Y2 tetrahedra,  a cornercorner with one O(15)Gd2Y2 trigonal pyramid,  a cornercorner with one O(3)Gd2Y2 trigonal pyramid,  a cornercorner with one O(13)GdY3 trigonal pyramid,  a cornercorner with one O(17)GdY3 trigonal pyramid,  a cornercorner with one O(8)GdY3 trigonal pyramid,  a cornercorner with one O(9)GdY3 trigonal pyramid,  a cornercorner with one O(1)Y4 trigonal pyramid,  a cornercorner with one O(14)Y4 trigonal pyramid,  a cornercorner with one O(2)Y4 trigonal pyramid,  a cornercorner with one O(4)Y4 trigonal pyramid,  a cornercorner with one O(5)Y4 trigonal pyramid,  an edgeedge with one O(18)GdY3 trigonal pyramid,  an edgeedge with one O(21)Y4 trigonal pyramid,  an edgeedge with one O(23)Y4 trigonal pyramid, and  an edgeedge with one O(6)Y4 trigonal pyramid. In the thirteenth O site, O(13) is bonded to one Gd(2), one Y(12), one Y(2), and one Y(8) atom to form OGdY3 trigonal pyramids that share  a cornercorner with one O(20)Gd2Y2 tetrahedra,  a cornercorner with one O(22)Gd2Y2 trigonal pyramid,  a cornercorner with one O(11)GdY3 trigonal pyramid,  a cornercorner with one O(7)GdY3 trigonal pyramid,  a cornercorner with one O(8)GdY3 trigonal pyramid,  a cornercorner with one O(9)GdY3 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(14)Y4 trigonal pyramid,  a cornercorner with one O(21)Y4 trigonal pyramid,  a cornercorner with one O(23)Y4 trigonal pyramid,  a cornercorner with one O(5)Y4 trigonal pyramid,  an edgeedge with one O(24)Gd2Y2 trigonal pyramid,  an edgeedge with one O(17)GdY3 trigonal pyramid,  an edgeedge with one O(19)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(12), one Y(13), one Y(7), and one Y(9) atom to form OY4 trigonal pyramids that share  a cornercorner with one O(22)Gd2Y2 trigonal pyramid,  a cornercorner with one O(24)Gd2Y2 trigonal pyramid,  a cornercorner with one O(3)Gd2Y2 trigonal pyramid,  a cornercorner with one O(13)GdY3 trigonal pyramid,  a cornercorner with one O(7)GdY3 trigonal pyramid,  a cornercorner with one O(8)GdY3 trigonal pyramid,  a cornercorner with one O(9)GdY3 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(2)Y4 trigonal pyramid,  a cornercorner with one O(5)Y4 trigonal pyramid,  a cornercorner with one O(6)Y4 trigonal pyramid,  an edgeedge with one O(18)GdY3 trigonal pyramid,  an edgeedge with one O(19)Y4 trigonal pyramid,  an edgeedge with one O(23)Y4 trigonal pyramid, and  an edgeedge with one O(4)Y4 trigonal pyramid. In the fifteenth O site, O(15) is bonded to one Gd(1), one Gd(3), one Y(10), and one Y(3) atom to form OGd2Y2 trigonal pyramids that share  a cornercorner with one O(22)Gd2Y2 trigonal pyramid,  a cornercorner with one O(24)Gd2Y2 trigonal pyramid,  a cornercorner with one O(11)GdY3 trigonal pyramid,  a cornercorner with one O(16)GdY3 trigonal pyramid,  a cornercorner with one O(18)GdY3 trigonal pyramid,  a cornercorner with one O(7)GdY3 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(19)Y4 trigonal pyramid,  a cornercorner with one O(21)Y4 trigonal pyramid,  a cornercorner with one O(23)Y4 trigonal pyramid,  a cornercorner with one O(6)Y4 trigonal pyramid,  an edgeedge with one O(20)Gd2Y2 tetrahedra,  an edgeedge with one O(3)Gd2Y2 trigonal pyramid,  an edgeedge with one O(8)GdY3 trigonal pyramid, and  an edgeedge with one O(2)Y4 trigonal pyramid. In the sixteenth O site, O(16) is bonded to one Gd(1), one Y(1), one Y(11), and one Y(4) atom to form OGdY3 trigonal pyramids that share  a cornercorner with one O(15)Gd2Y2 trigonal pyramid,  a cornercorner with one O(24)Gd2Y2 trigonal pyramid,  a cornercorner with one O(11)GdY3 trigonal pyramid,  a cornercorner with one O(17)GdY3 trigonal pyramid,  a cornercorner with one O(8)GdY3 trigonal pyramid,  a cornercorner with one O(9)GdY3 trigonal pyramid,  a cornercorner with one O(10)Y4 trigonal pyramid,  a cornercorner with one O(21)Y4 trigonal pyramid,  a cornercorner with one O(23)Y4 trigonal pyramid,  a cornercorner with one O(4)Y4 trigonal pyramid,  a cornercorner with one O(5)Y4 trigonal pyramid,  a cornercorner with one O(6)Y4 trigonal pyramid,  an edgeedge with one O(20)Gd2Y2 tetrahedra,  an edgeedge with one O(3)Gd2Y2 trigonal pyramid,  an edgeedge with one O(7)GdY3 trigonal pyramid, and  an edgeedge with one O(1)Y4 trigonal pyramid. In the seventeenth O site, O(17) is bonded to one Gd(2), one Y(11), one Y(5), and one Y(8) atom to form OGdY3 trigonal pyramids that share  a cornercorner with one O(22)Gd2Y2 trigonal pyramid,  a cornercorner with one O(24)Gd2Y2 trigonal pyramid,  a cornercorner with one O(11)GdY3 trigonal pyramid,  a cornercorner with one O(16)GdY3 trigonal pyramid,  a cornercorner with one O(18)GdY3 trigonal pyramid,  a cornercorner with one O(7)GdY3 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(19)Y4 trigonal pyramid,  a cornercorner with one O(21)Y4 trigonal pyramid,  a cornercorner with one O(23)Y4 trigonal pyramid,  a cornercorner with one O(6)Y4 trigonal pyramid,  an edgeedge with one O(20)Gd2Y2 tetrahedra,  an edgeedge with one O(13)GdY3 trigonal pyramid,  an edgeedge with one O(9)GdY3 trigonal pyramid, and  an edgeedge with one O(5)Y4 trigonal pyramid. In the eighteenth O site, O(18) is bonded to one Gd(3), one Y(13), one Y(5), and one Y(7) atom to form OGdY3 trigonal pyramids that share  a cornercorner with one O(15)Gd2Y2 trigonal pyramid,  a cornercorner with one O(24)Gd2Y2 trigonal pyramid,  a cornercorner with one O(11)GdY3 trigonal pyramid,  a cornercorner with one O(17)GdY3 trigonal pyramid,  a cornercorner with one O(8)GdY3 trigonal pyramid,  a cornercorner with one O(9)GdY3 trigonal pyramid,  a cornercorner with one O(10)Y4 trigonal pyramid,  a cornercorner with one O(21)Y4 trigonal pyramid,  a cornercorner with one O(23)Y4 trigonal pyramid,  a cornercorner with one O(4)Y4 trigonal pyramid,  a cornercorner with one O(5)Y4 trigonal pyramid,  a cornercorner with one O(6)Y4 trigonal pyramid,  an edgeedge with one O(22)Gd2Y2 trigonal pyramid,  an edgeedge with one O(3)Gd2Y2 trigonal pyramid,  an edgeedge with one O(12)Y4 trigonal pyramid, and  an edgeedge with one O(14)Y4 trigonal pyramid. In the nineteenth O site, O(19) is bonded to one Y(12), one Y(3), one Y(8), and one Y(9) atom to form OY4 trigonal pyramids that share  a cornercorner with one O(15)Gd2Y2 trigonal pyramid,  a cornercorner with one O(24)Gd2Y2 trigonal pyramid,  a cornercorner with one O(11)GdY3 trigonal pyramid,  a cornercorner with one O(17)GdY3 trigonal pyramid,  a cornercorner with one O(8)GdY3 trigonal pyramid,  a cornercorner with one O(9)GdY3 trigonal pyramid,  a cornercorner with one O(10)Y4 trigonal pyramid,  a cornercorner with one O(21)Y4 trigonal pyramid,  a cornercorner with one O(23)Y4 trigonal pyramid,  a cornercorner with one O(4)Y4 trigonal pyramid,  a cornercorner with one O(5)Y4 trigonal pyramid,  a cornercorner with one O(6)Y4 trigonal pyramid,  an edgeedge with one O(13)GdY3 trigonal pyramid,  an edgeedge with one O(7)GdY3 trigonal pyramid,  an edgeedge with one O(14)Y4 trigonal pyramid, and  an edgeedge with one O(2)Y4 trigonal pyramid. In the twentieth O site, O(20) is bonded to one Gd(1), one Gd(2), one Y(10), and one Y(11) atom to form OGd2Y2 tetrahedra that share  a cornercorner with one O(22)Gd2Y2 trigonal pyramid,  a cornercorner with one O(24)Gd2Y2 trigonal pyramid,  a cornercorner with one O(3)Gd2Y2 trigonal pyramid,  a cornercorner with one O(13)GdY3 trigonal pyramid,  a cornercorner with one O(7)GdY3 trigonal pyramid,  a cornercorner with one O(8)GdY3 trigonal pyramid,  a cornercorner with one O(9)GdY3 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(2)Y4 trigonal pyramid,  a cornercorner with one O(5)Y4 trigonal pyramid,  a cornercorner with one O(6)Y4 trigonal pyramid,  an edgeedge with one O(15)Gd2Y2 trigonal pyramid,  an edgeedge with one O(16)GdY3 trigonal pyramid,  an edgeedge with one O(17)GdY3 trigonal pyramid, and  an edgeedge with one O(23)Y4 trigonal pyramid. In the twenty-first O site, O(21) 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)Gd2Y2 trigonal pyramid,  a cornercorner with one O(24)Gd2Y2 trigonal pyramid,  a cornercorner with one O(3)Gd2Y2 trigonal pyramid,  a cornercorner with one O(13)GdY3 trigonal pyramid,  a cornercorner with one O(16)GdY3 trigonal pyramid,  a cornercorner with one O(17)GdY3 trigonal pyramid,  a cornercorner with one O(18)GdY3 trigonal pyramid,  a cornercorner with one O(10)Y4 trigonal pyramid,  a cornercorner with one O(19)Y4 trigonal pyramid,  a cornercorner with one O(2)Y4 trigonal pyramid,  a cornercorner with one O(4)Y4 trigonal pyramid,  a cornercorner with one O(6)Y4 trigonal pyramid,  an edgeedge with one O(8)GdY3 trigonal pyramid,  an edgeedge with one O(9)GdY3 trigonal pyramid,  an edgeedge with one O(1)Y4 trigonal pyramid, and  an edgeedge with one O(12)Y4 trigonal pyramid. In the twenty-second O site, O(22) is bonded to one Gd(2), one Gd(3), one Y(6), and one Y(7) atom to form OGd2Y2 trigonal pyramids that share  a cornercorner with one O(20)Gd2Y2 tetrahedra,  a cornercorner with one O(15)Gd2Y2 trigonal pyramid,  a cornercorner with one O(3)Gd2Y2 trigonal pyramid,  a cornercorner with one O(13)GdY3 trigonal pyramid,  a cornercorner with one O(17)GdY3 trigonal pyramid,  a cornercorner with one O(8)GdY3 trigonal pyramid,  a cornercorner with one O(9)GdY3 trigonal pyramid,  a cornercorner with one O(1)Y4 trigonal pyramid,  a cornercorner with one O(14)Y4 trigonal pyramid,  a cornercorner with one O(2)Y4 trigonal pyramid,  a cornercorner with one O(4)Y4 trigonal pyramid,  a cornercorner with one O(5)Y4 trigonal pyramid,  an edgeedge with one O(24)Gd2Y2 trigonal pyramid,  an edgeedge with one O(11)GdY3 trigonal pyramid,  an edgeedge with one O(18)GdY3 trigonal pyramid, and  an edgeedge with one O(10)Y4 trigonal pyramid. In the twenty-third O site, O(23) is bonded to one Y(10), one Y(11), one Y(12), and one Y(13) atom to form OY4 trigonal pyramids that share  a cornercorner with one O(15)Gd2Y2 trigonal pyramid,  a cornercorner with one O(24)Gd2Y2 trigonal pyramid,  a cornercorner with one O(3)Gd2Y2 trigonal pyramid,  a cornercorner with one O(13)GdY3 trigonal pyramid,  a cornercorner with one O(16)GdY3 trigonal pyramid,  a cornercorner with one O(17)GdY3 trigonal pyramid,  a cornercorner with one O(18)GdY3 trigonal pyramid,  a cornercorner with one O(10)Y4 trigonal pyramid,  a cornercorner with one O(19)Y4 trigonal pyramid,  a cornercorner with one O(2)Y4 trigonal pyramid,  a cornercorner with one O(4)Y4 trigonal pyramid,  a cornercorner with one O(6)Y4 trigonal pyramid,  an edgeedge with one O(20)Gd2Y2 tetrahedra,  an edgeedge with one O(12)Y4 trigonal pyramid,  an edgeedge with one O(14)Y4 trigonal pyramid, and  an edgeedge with one O(5)Y4 trigonal pyramid. In the twenty-fourth O site, O(24) is bonded to one Gd(2), one Gd(3), one Y(1), and one Y(12) atom to form OGd2Y2 trigonal pyramids that share  a cornercorner with one O(20)Gd2Y2 tetrahedra,  a cornercorner with one O(15)Gd2Y2 trigonal pyramid,  a cornercorner with one O(11)GdY3 trigonal pyramid,  a cornercorner with one O(16)GdY3 trigonal pyramid,  a cornercorner with one O(17)GdY3 trigonal pyramid,  a cornercorner with one O(18)GdY3 trigonal pyramid,  a cornercorner with one O(1)Y4 trigonal pyramid,  a cornercorner with one O(14)Y4 trigonal pyramid,  a cornercorner with one O(19)Y4 trigonal pyramid,  a cornercorner with one O(21)Y4 trigonal pyramid,  a cornercorner with one O(23)Y4 trigonal pyramid,  a cornercorner with one O(4)Y4 trigonal pyramid,  an edgeedge with one O(22)Gd2Y2 trigonal pyramid,  an edgeedge with one O(3)Gd2Y2 trigonal pyramid,  an edgeedge with one O(13)GdY3 trigonal pyramid, and  an edgeedge with one O(9)GdY3 trigonal pyramid.
Gd3Y13O24 is Spinel-like structured and crystallizes in the triclinic P1 space group. There are three inequivalent Gd sites. In the first Gd site, Gd(1) is bonded to one O(15), one O(16), one O(20), one O(3), one O(7), and one O(8) atom to form distorted GdO6 octahedra that share  a cornercorner with one Gd(2)O6 octahedra,  a cornercorner with one Y(13)O6 octahedra,  a cornercorner with one Y(2)O6 octahedra,  a cornercorner with one Y(7)O6 octahedra,  a cornercorner with one Y(8)O6 octahedra,  a cornercorner with one Y(9)O6 octahedra,  an edgeedge with one Gd(3)O6 octahedra,  an edgeedge with one Y(1)O6 octahedra,  an edgeedge with one Y(10)O6 octahedra,  an edgeedge with one Y(11)O6 octahedra,  an edgeedge with one Y(3)O6 octahedra, and  an edgeedge with one Y(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 55-57°. The Gd(1)-O(15) bond length is 2.37 Å. The Gd(1)-O(16) bond length is 2.37 Å. The Gd(1)-O(20) bond length is 2.29 Å. The Gd(1)-O(3) bond length is 2.30 Å. The Gd(1)-O(7) bond length is 2.27 Å. The Gd(1)-O(8) bond length is 2.28 Å. In the second Gd site, Gd(2) is bonded to one O(13), one O(17), one O(20), one O(22), one O(24), and one O(9) atom to form distorted GdO6 octahedra that share  a cornercorner with one Gd(1)O6 octahedra,  a cornercorner with one Y(10)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,  a cornercorner with one Y(9)O6 octahedra,  an edgeedge with one Gd(3)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(5)O6 octahedra, and  an edgeedge with one Y(8)O6 octahedra. The corner-sharing octahedral tilt angles range from 54-56°. The Gd(2)-O(13) bond length is 2.30 Å. The Gd(2)-O(17) bond length is 2.37 Å. The Gd(2)-O(20) bond length is 2.27 Å. The Gd(2)-O(22) bond length is 2.28 Å. The Gd(2)-O(24) bond length is 2.36 Å. The Gd(2)-O(9) bond length is 2.31 Å. In the third Gd site, Gd(3) is bonded to one O(11), one O(15), one O(18), one O(22), one O(24), and one O(3) atom to form distorted GdO6 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(4)O6 octahedra,  a cornercorner with one Y(5)O6 octahedra,  a cornercorner with one Y(8)O6 octahedra,  an edgeedge with one Gd(1)O6 octahedra,  an edgeedge with one Gd(2)O6 octahedra,  an edgeedge with one Y(1)O6 octahedra,  an edgeedge with one Y(13)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 54-57°. The Gd(3)-O(11) bond length is 2.28 Å. The Gd(3)-O(15) bond length is 2.28 Å. The Gd(3)-O(18) bond length is 2.30 Å. The Gd(3)-O(22) bond length is 2.36 Å. The Gd(3)-O(24) bond length is 2.30 Å. The Gd(3)-O(3) bond length is 2.37 Å. There are thirteen inequivalent Y sites. In the first Y site, Y(1) is bonded to one O(1), one O(16), one O(21), one O(24), one O(3), and one O(9) 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(13)O6 octahedra,  a cornercorner with one Y(3)O6 octahedra,  a cornercorner with one Y(6)O6 octahedra,  a cornercorner with one Y(9)O6 octahedra,  an edgeedge with one Gd(1)O6 octahedra,  an edgeedge with one Gd(2)O6 octahedra,  an edgeedge with one Gd(3)O6 octahedra,  an edgeedge with one Y(2)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 55-56°. The Y(1)-O(1) bond length is 2.28 Å. The Y(1)-O(16) bond length is 2.29 Å. The Y(1)-O(21) bond length is 2.29 Å. The Y(1)-O(24) bond length is 2.29 Å. The Y(1)-O(3) bond length is 2.29 Å. The Y(1)-O(9) bond length is 2.28 Å. In the second Y site, Y(2) is bonded to one O(1), one O(12), one O(13), one O(21), one O(4), and one O(8) atom to form distorted YO6 octahedra that share  a cornercorner with one Gd(1)O6 octahedra,  a cornercorner with one Gd(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(8)O6 octahedra,  an edgeedge with one Y(1)O6 octahedra,  an edgeedge with one Y(12)O6 octahedra,  an edgeedge with one Y(3)O6 octahedra,  an edgeedge with one Y(4)O6 octahedra,  an edgeedge with one Y(5)O6 octahedra, and  an edgeedge with one Y(7)O6 octahedra. The corner-sharing octahedral tilt angles range from 54-56°. The Y(2)-O(1) bond length is 2.27 Å. The Y(2)-O(12) bond length is 2.25 Å. The Y(2)-O(13) bond length is 2.25 Å. The Y(2)-O(21) bond length is 2.34 Å. The Y(2)-O(4) bond length is 2.34 Å. The Y(2)-O(8) bond length is 2.26 Å. In the third Y site, Y(3) is bonded to one O(10), one O(15), one O(19), one O(2), one O(21), and one O(8) atom to form distorted YO6 octahedra that share  a cornercorner with one Gd(3)O6 octahedra,  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(5)O6 octahedra,  a cornercorner with one Y(8)O6 octahedra,  an edgeedge with one Gd(1)O6 octahedra,  an edgeedge with one Y(10)O6 octahedra,  an edgeedge with one Y(2)O6 octahedra,  an edgeedge with one Y(6)O6 octahedra,  an edgeedge with one Y(7)O6 octahedra, and  an edgeedge with one Y(9)O6 octahedra. The corner-sharing octahedral tilt angles range from 54-56°. The Y(3)-O(10) bond length is 2.27 Å. The Y(3)-O(15) bond length is 2.26 Å. The Y(3)-O(19) bond length is 2.25 Å. The Y(3)-O(2) bond length is 2.34 Å. The Y(3)-O(21) bond length is 2.25 Å. The Y(3)-O(8) bond length is 2.34 Å. In the fourth Y site, Y(4) is bonded to one O(1), one O(11), one O(16), one O(4), one O(6), and one O(7) atom to form distorted YO6 octahedra that share  a cornercorner with one Gd(3)O6 octahedra,  a cornercorner with one Y(10)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,  a cornercorner with one Y(7)O6 octahedra,  an edgeedge with one Gd(1)O6 octahedra,  an edgeedge with one Y(1)O6 octahedra,  an edgeedge with one Y(2)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 54-57°. The Y(4)-O(1) bond length is 2.34 Å. The Y(4)-O(11) bond length is 2.26 Å. The Y(4)-O(16) bond length is 2.27 Å. The Y(4)-O(4) bond length is 2.25 Å. The Y(4)-O(6) bond length is 2.25 Å. The Y(4)-O(7) bond length is 2.34 Å. In the fifth Y site, Y(5) is bonded to one O(12), one O(17), one O(18), one O(21), one O(6), and one O(9) atom to form distorted YO6 octahedra that share  a cornercorner with one Gd(3)O6 octahedra,  a cornercorner with one Y(11)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 Gd(2)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(2)O6 octahedra, and  an edgeedge with one Y(9)O6 octahedra. The corner-sharing octahedral tilt angles range from 54-56°. The Y(5)-O(12) bond length is 2.34 Å. The Y(5)-O(17) bond length is 2.26 Å. The Y(5)-O(18) bond length is 2.25 Å. The Y(5)-O(21) bond length is 2.27 Å. The Y(5)-O(6) bond length is 2.27 Å. The Y(5)-O(9) bond length is 2.33 Å. In the sixth Y site, Y(6) is bonded to one O(1), one O(10), one O(11), one O(2), one O(22), and one O(5) atom to form distorted YO6 octahedra that share  a cornercorner with one Gd(2)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(2)O6 octahedra,  a cornercorner with one Y(9)O6 octahedra,  an edgeedge with one Gd(3)O6 octahedra,  an edgeedge with one Y(11)O6 octahedra,  an edgeedge with one Y(3)O6 octahedra,  an edgeedge with one Y(4)O6 octahedra,  an edgeedge with one Y(7)O6 octahedra, and  an edgeedge with one Y(8)O6 octahedra. The corner-sharing octahedral tilt angles range from 54-56°. The Y(6)-O(1) bond length is 2.25 Å. The Y(6)-O(10) bond length is 2.34 Å. The Y(6)-O(11) bond length is 2.33 Å. The Y(6)-O(2) bond length is 2.25 Å. The Y(6)-O(22) bond length is 2.27 Å. The Y(6)-O(5) bond length is 2.27 Å. In the seventh Y site, Y(7) is bonded to one O(10), one O(14), one O(18), one O(22), one O(4), and one O(8) atom to form YO6 octahedra that share  a cornercorner with one Gd(1)O6 octahedra,  a cornercorner with one Gd(2)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(9)O6 octahedra,  an edgeedge with one Gd(3)O6 octahedra,  an edgeedge with one Y(12)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, and  an edgeedge with one Y(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 55-57°. The Y(7)-O(10) bond length is 2.29 Å. The Y(7)-O(14) bond length is 2.30 Å. The Y(7)-O(18) bond length is 2.28 Å. The Y(7)-O(22) bond length is 2.29 Å. The Y(7)-O(4) bond length is 2.28 Å. The Y(7)-O(8) bond length is 2.28 Å. In the eighth Y site, Y(8) is bonded to one O(11), one O(13), one O(17), one O(19), one O(5), and one O(7) atom to form YO6 octahedra that share  a cornercorner with one Gd(1)O6 octahedra,  a cornercorner with one Gd(3)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(5)O6 octahedra,  an edgeedge with one Gd(2)O6 octahedra,  an edgeedge with one Y(11)O6 octahedra,  an edgeedge with one Y(12)O6 octahedra,  an edgeedge with one Y(4)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 55-57°. The Y(8)-O(11) bond length is 2.28 Å. The Y(8)-O(13) bond length is 2.28 Å. The Y(8)-O(17) bond length is 2.29 Å. The Y(8)-O(19) bond length is 2.30 Å. The Y(8)-O(5) bond length is 2.29 Å. The Y(8)-O(7) bond length is 2.28 Å. In the ninth Y site, Y(9) is bonded to one O(14), one O(19), one O(2), one O(6), one O(7), and one O(9) atom to form distorted YO6 octahedra that share  a cornercorner with one Gd(1)O6 octahedra,  a cornercorner with one Gd(2)O6 octahedra,  a cornercorner with one Y(1)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,  an edgeedge with one Y(10)O6 octahedra,  an edgeedge with one Y(12)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(8)O6 octahedra. The corner-sharing octahedral tilt angles are 55°. The Y(9)-O(14) bond length is 2.26 Å. The Y(9)-O(19) bond length is 2.34 Å. The Y(9)-O(2) bond length is 2.27 Å. The Y(9)-O(6) bond length is 2.34 Å. The Y(9)-O(7) bond length is 2.26 Å. The Y(9)-O(9) bond length is 2.25 Å. In the tenth Y site, Y(10) is bonded to one O(12), one O(15), one O(2), one O(20), one O(23), and one O(6) atom to form YO6 octahedra that share  a cornercorner with one Gd(2)O6 octahedra,  a cornercorner with one Gd(3)O6 octahedra,  a cornercorner with one Y(12)O6 octahedra,  a cornercorner with one Y(2)O6 octahedra,  a cornercorner with one Y(4)O6 octahedra,  a cornercorner with one Y(6)O6 octahedra,  an edgeedge with one Gd(1)O6 octahedra,  an edgeedge with one Y(11)O6 octahedra,  an edgeedge with one Y(13)O6 octahedra,  an edgeedge with one Y(3)O6 octahedra,  an edgeedge with one Y(5)O6 octahedra, and  an edgeedge with one Y(9)O6 octahedra. The corner-sharing octahedral tilt angles range from 55-57°. The Y(10)-O(12) bond length is 2.29 Å. The Y(10)-O(15) bond length is 2.29 Å. The Y(10)-O(2) bond length is 2.29 Å. The Y(10)-O(20) bond length is 2.28 Å. The Y(10)-O(23) bond length is 2.30 Å. The Y(10)-O(6) bond length is 2.28 Å. In the eleventh Y site, Y(11) is bonded to one O(10), one O(16), 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(1)O6 octahedra,  a cornercorner with one Y(12)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 Gd(1)O6 octahedra,  an edgeedge with one Gd(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, and  an edgeedge with one Y(8)O6 octahedra. The corner-sharing octahedral tilt angles range from 54-56°. The Y(11)-O(10) bond length is 2.24 Å. The Y(11)-O(16) bond length is 2.25 Å. The Y(11)-O(17) bond length is 2.28 Å. The Y(11)-O(20) bond length is 2.33 Å. The Y(11)-O(23) bond length is 2.28 Å. The Y(11)-O(5) bond length is 2.33 Å. In the twelfth Y site, Y(12) is bonded to one O(13), one O(14), one O(19), one O(23), one O(24), and one O(4) atom to form distorted YO6 octahedra that share  a cornercorner with one Gd(3)O6 octahedra,  a cornercorner with one Y(1)O6 octahedra,  a cornercorner with one Y(10)O6 octahedra,  a cornercorner with one Y(11)O6 octahedra,  a cornercorner with one Y(3)O6 octahedra,  a cornercorner with one Y(4)O6 octahedra,  an edgeedge with one Gd(2)O6 octahedra,  an edgeedge with one Y(13)O6 octahedra,  an edgeedge with one Y(2)O6 octahedra,  an edgeedge with one Y(7)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 Y(12)-O(13) bond length is 2.34 Å. The Y(12)-O(14) bond length is 2.33 Å. The Y(12)-O(19) bond length is 2.27 Å. The Y(12)-O(23) bond length is 2.25 Å. The Y(12)-O(24) bond length is 2.25 Å. The Y(12)-O(4) bond length is 2.27 Å. In the thirteenth Y site, Y(13) is bonded to one O(12), one O(14), 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 Gd(1)O6 octahedra,  a cornercorner with one Y(1)O6 octahedra,  a cornercorner with one Y(2)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 Gd(3)O6 octahedra,  an edgeedge with one Y(10)O6 octahedra,  an edgeedge with one Y(11)O6 octahedra,  an edgeedge with one Y(12)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(12) bond length is 2.28 Å. The Y(13)-O(14) bond length is 2.28 Å. The Y(13)-O(18) bond length is 2.33 Å. The Y(13)-O(23) bond length is 2.33 Å. The Y(13)-O(3) bond length is 2.25 Å. The Y(13)-O(5) 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(6) atom to form OY4 trigonal pyramids that share  a cornercorner with one O(22)Gd2Y2 trigonal pyramid,  a cornercorner with one O(24)Gd2Y2 trigonal pyramid,  a cornercorner with one O(3)Gd2Y2 trigonal pyramid,  a cornercorner with one O(13)GdY3 trigonal pyramid,  a cornercorner with one O(7)GdY3 trigonal pyramid,  a cornercorner with one O(8)GdY3 trigonal pyramid,  a cornercorner with one O(9)GdY3 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(2)Y4 trigonal pyramid,  a cornercorner with one O(5)Y4 trigonal pyramid,  a cornercorner with one O(6)Y4 trigonal pyramid,  an edgeedge with one O(11)GdY3 trigonal pyramid,  an edgeedge with one O(16)GdY3 trigonal pyramid,  an edgeedge with one O(21)Y4 trigonal pyramid, and  an edgeedge with one O(4)Y4 trigonal pyramid. In the second O site, O(2) is bonded to one Y(10), one Y(3), one Y(6), and one Y(9) atom to form OY4 trigonal pyramids that share  a cornercorner with one O(20)Gd2Y2 tetrahedra,  a cornercorner with one O(22)Gd2Y2 trigonal pyramid,  a cornercorner with one O(11)GdY3 trigonal pyramid,  a cornercorner with one O(7)GdY3 trigonal pyramid,  a cornercorner with one O(8)GdY3 trigonal pyramid,  a cornercorner with one O(9)GdY3 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(14)Y4 trigonal pyramid,  a cornercorner with one O(21)Y4 trigonal pyramid,  a cornercorner with one O(23)Y4 trigonal pyramid,  a cornercorner with one O(5)Y4 trigonal pyramid,  an edgeedge with one O(15)Gd2Y2 trigonal pyramid,  an edgeedge with one O(10)Y4 trigonal pyramid,  an edgeedge with one O(19)Y4 trigonal pyramid, and  an edgeedge with one O(6)Y4 trigonal pyramid. In the third O site, O(3) is bonded to one Gd(1), one Gd(3), one Y(1), and one Y(13) atom to form OGd2Y2 trigonal pyramids that share  a cornercorner with one O(20)Gd2Y2 tetrahedra,  a cornercorner with one O(22)Gd2Y2 trigonal pyramid,  a cornercorner with one O(11)GdY3 trigonal pyramid,  a cornercorner with one O(7)GdY3 trigonal pyramid,  a cornercorner with one O(8)GdY3 trigonal pyramid,  a cornercorner with one O(9)GdY3 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(14)Y4 trigonal pyramid,  a cornercorner with one O(21)Y4 trigonal pyramid,  a cornercorner with one O(23)Y4 trigonal pyramid,  a cornercorner with one O(5)Y4 trigonal pyramid,  an edgeedge with one O(15)Gd2Y2 trigonal pyramid,  an edgeedge with one O(24)Gd2Y2 trigonal pyramid,  an edgeedge with one O(16)GdY3 trigonal pyramid, and  an edgeedge with one O(18)GdY3 trigonal pyramid. In the fourth O site, O(4) is bonded to one Y(12), one Y(2), one Y(4), and one Y(7) atom to form OY4 trigonal pyramids that share  a cornercorner with one O(22)Gd2Y2 trigonal pyramid,  a cornercorner with one O(24)Gd2Y2 trigonal pyramid,  a cornercorner with one O(11)GdY3 trigonal pyramid,  a cornercorner with one O(16)GdY3 trigonal pyramid,  a cornercorner with one O(18)GdY3 trigonal pyramid,  a cornercorner with one O(7)GdY3 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(19)Y4 trigonal pyramid,  a cornercorner with one O(21)Y4 trigonal pyramid,  a cornercorner with one O(23)Y4 trigonal pyramid,  a cornercorner with one O(6)Y4 trigonal pyramid,  an edgeedge with one O(13)GdY3 trigonal pyramid,  an edgeedge with one O(8)GdY3 trigonal pyramid,  an edgeedge with one O(1)Y4 trigonal pyramid, and  an edgeedge with one O(14)Y4 trigonal pyramid. In the fifth O site, O(5) is bonded to one Y(11), one Y(13), one Y(6), and one Y(8) atom to form OY4 trigonal pyramids that share  a cornercorner with one O(20)Gd2Y2 tetrahedra,  a cornercorner with one O(22)Gd2Y2 trigonal pyramid,  a cornercorner with one O(3)Gd2Y2 trigonal pyramid,  a cornercorner with one O(13)GdY3 trigonal pyramid,  a cornercorner with one O(16)GdY3 trigonal pyramid,  a cornercorner with one O(18)GdY3 trigonal pyramid,  a cornercorner with one O(7)GdY3 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(14)Y4 trigonal pyramid,  a cornercorner with one O(19)Y4 trigonal pyramid,  a cornercorner with one O(2)Y4 trigonal pyramid,  an edgeedge with one O(11)GdY3 trigonal pyramid,  an edgeedge with one O(17)GdY3 trigonal pyramid,  an edgeedge with one O(10)Y4 trigonal pyramid, and  an edgeedge with one O(23)Y4 trigonal pyramid. In the sixth O site, O(6) is bonded to one Y(10), one Y(4), one Y(5), and one Y(9) atom to form OY4 trigonal pyramids that share  a cornercorner with one O(20)Gd2Y2 tetrahedra,  a cornercorner with one O(15)Gd2Y2 trigonal pyramid,  a cornercorner with one O(11)GdY3 trigonal pyramid,  a cornercorner with one O(16)GdY3 trigonal pyramid,  a cornercorner with one O(17)GdY3 trigonal pyramid,  a cornercorner with one O(18)GdY3 trigonal pyramid,  a cornercorner with one O(1)Y4 trigonal pyramid,  a cornercorner with one O(14)Y4 trigonal pyramid,  a cornercorner with one O(19)Y4 trigonal pyramid,  a cornercorner with one O(21)Y4 trigonal pyramid,  a cornercorner with one O(23)Y4 trigonal pyramid,  a cornercorner with one O(4)Y4 trigonal pyramid,  an edgeedge with one O(7)GdY3 trigonal pyramid,  an edgeedge with one O(9)GdY3 trigonal pyramid,  an edgeedge with one O(12)Y4 trigonal pyramid, and  an edgeedge with one O(2)Y4 trigonal pyramid. In the seventh O site, O(7) is bonded to one Gd(1), one Y(4), one Y(8), and one Y(9) atom to form OGdY3 trigonal pyramids that share  a cornercorner with one O(20)Gd2Y2 tetrahedra,  a cornercorner with one O(15)Gd2Y2 trigonal pyramid,  a cornercorner with one O(3)Gd2Y2 trigonal pyramid,  a cornercorner with one O(13)GdY3 trigonal pyramid,  a cornercorner with one O(17)GdY3 trigonal pyramid,  a cornercorner with one O(8)GdY3 trigonal pyramid,  a cornercorner with one O(9)GdY3 trigonal pyramid,  a cornercorner with one O(1)Y4 trigonal pyramid,  a cornercorner with one O(14)Y4 trigonal pyramid,  a cornercorner with one O(2)Y4 trigonal pyramid,  a cornercorner with one O(4)Y4 trigonal pyramid,  a cornercorner with one O(5)Y4 trigonal pyramid,  an edgeedge with one O(11)GdY3 trigonal pyramid,  an edgeedge with one O(16)GdY3 trigonal pyramid,  an edgeedge with one O(19)Y4 trigonal pyramid, and  an edgeedge with one O(6)Y4 trigonal pyramid. In the eighth O site, O(8) is bonded to one Gd(1), one Y(2), one Y(3), and one Y(7) atom to form OGdY3 trigonal pyramids that share  a cornercorner with one O(20)Gd2Y2 tetrahedra,  a cornercorner with one O(22)Gd2Y2 trigonal pyramid,  a cornercorner with one O(3)Gd2Y2 trigonal pyramid,  a cornercorner with one O(13)GdY3 trigonal pyramid,  a cornercorner with one O(16)GdY3 trigonal pyramid,  a cornercorner with one O(18)GdY3 trigonal pyramid,  a cornercorner with one O(7)GdY3 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(14)Y4 trigonal pyramid,  a cornercorner with one O(19)Y4 trigonal pyramid,  a cornercorner with one O(2)Y4 trigonal pyramid,  an edgeedge with one O(15)Gd2Y2 trigonal pyramid,  an edgeedge with one O(10)Y4 trigonal pyramid,  an edgeedge with one O(21)Y4 trigonal pyramid, and  an edgeedge with one O(4)Y4 trigonal pyramid. In the ninth O site, O(9) is bonded to one Gd(2), one Y(1), one Y(5), and one Y(9) atom to form OGdY3 trigonal pyramids that share  a cornercorner with one O(20)Gd2Y2 tetrahedra,  a cornercorner with one O(22)Gd2Y2 trigonal pyramid,  a cornercorner with one O(3)Gd2Y2 trigonal pyramid,  a cornercorner with one O(13)GdY3 trigonal pyramid,  a cornercorner with one O(16)GdY3 trigonal pyramid,  a cornercorner with one O(18)GdY3 trigonal pyramid,  a cornercorner with one O(7)GdY3 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(14)Y4 trigonal pyramid,  a cornercorner with one O(19)Y4 trigonal pyramid,  a cornercorner with one O(2)Y4 trigonal pyramid,  an edgeedge with one O(24)Gd2Y2 trigonal pyramid,  an edgeedge with one O(17)GdY3 trigonal pyramid,  an edgeedge with one O(21)Y4 trigonal pyramid, and  an edgeedge with one O(6)Y4 trigonal pyramid. In the tenth O site, O(10) is bonded to one Y(11), one Y(3), one Y(6), and one Y(7) atom to form OY4 trigonal pyramids that share  a cornercorner with one O(20)Gd2Y2 tetrahedra,  a cornercorner with one O(15)Gd2Y2 trigonal pyramid,  a cornercorner with one O(11)GdY3 trigonal pyramid,  a cornercorner with one O(16)GdY3 trigonal pyramid,  a cornercorner with one O(17)GdY3 trigonal pyramid,  a cornercorner with one O(18)GdY3 trigonal pyramid,  a cornercorner with one O(1)Y4 trigonal pyramid,  a cornercorner with one O(14)Y4 trigonal pyramid,  a cornercorner with one O(19)Y4 trigonal pyramid,  a cornercorner with one O(21)Y4 trigonal pyramid,  a cornercorner with one O(23)Y4 trigonal pyramid,  a cornercorner with one O(4)Y4 trigonal pyramid,  an edgeedge with one O(22)Gd2Y2 trigonal pyramid,  an edgeedge with one O(8)GdY3 trigonal pyramid,  an edgeedge with one O(2)Y4 trigonal pyramid, and  an edgeedge with one O(5)Y4 trigonal pyramid. In the eleventh O site, O(11) is bonded to one Gd(3), one Y(4), one Y(6), and one Y(8) atom to form OGdY3 trigonal pyramids that share  a cornercorner with one O(15)Gd2Y2 trigonal pyramid,  a cornercorner with one O(24)Gd2Y2 trigonal pyramid,  a cornercorner with one O(3)Gd2Y2 trigonal pyramid,  a cornercorner with one O(13)GdY3 trigonal pyramid,  a cornercorner with one O(16)GdY3 trigonal pyramid,  a cornercorner with one O(17)GdY3 trigonal pyramid,  a cornercorner with one O(18)GdY3 trigonal pyramid,  a cornercorner with one O(10)Y4 trigonal pyramid,  a cornercorner with one O(19)Y4 trigonal pyramid,  a cornercorner with one O(2)Y4 trigonal pyramid,  a cornercorner with one O(4)Y4 trigonal pyramid,  a cornercorner with one O(6)Y4 trigonal pyramid,  an edgeedge with one O(22)Gd2Y2 trigonal pyramid,  an edgeedge with one O(7)GdY3 trigonal pyramid,  an edgeedge with one O(1)Y4 trigonal pyramid, and  an edgeedge with one O(5)Y4 trigonal pyramid. In the twelfth O site, O(12) is bonded to one Y(10), one Y(13), one Y(2), and one Y(5) atom to form OY4 trigonal pyramids that share  a cornercorner with one O(20)Gd2Y2 tetrahedra,  a cornercorner with one O(15)Gd2Y2 trigonal pyramid,  a cornercorner with one O(3)Gd2Y2 trigonal pyramid,  a cornercorner with one O(13)GdY3 trigonal pyramid,  a cornercorner with one O(17)GdY3 trigonal pyramid,  a cornercorner with one O(8)GdY3 trigonal pyramid,  a cornercorner with one O(9)GdY3 trigonal pyramid,  a cornercorner with one O(1)Y4 trigonal pyramid,  a cornercorner with one O(14)Y4 trigonal pyramid,  a cornercorner with one O(2)Y4 trigonal pyramid,  a cornercorner with one O(4)Y4 trigonal pyramid,  a cornercorner with one O(5)Y4 trigonal pyramid,  an edgeedge with one O(18)GdY3 trigonal pyramid,  an edgeedge with one O(21)Y4 trigonal pyramid,  an edgeedge with one O(23)Y4 trigonal pyramid, and  an edgeedge with one O(6)Y4 trigonal pyramid. In the thirteenth O site, O(13) is bonded to one Gd(2), one Y(12), one Y(2), and one Y(8) atom to form OGdY3 trigonal pyramids that share  a cornercorner with one O(20)Gd2Y2 tetrahedra,  a cornercorner with one O(22)Gd2Y2 trigonal pyramid,  a cornercorner with one O(11)GdY3 trigonal pyramid,  a cornercorner with one O(7)GdY3 trigonal pyramid,  a cornercorner with one O(8)GdY3 trigonal pyramid,  a cornercorner with one O(9)GdY3 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(14)Y4 trigonal pyramid,  a cornercorner with one O(21)Y4 trigonal pyramid,  a cornercorner with one O(23)Y4 trigonal pyramid,  a cornercorner with one O(5)Y4 trigonal pyramid,  an edgeedge with one O(24)Gd2Y2 trigonal pyramid,  an edgeedge with one O(17)GdY3 trigonal pyramid,  an edgeedge with one O(19)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(12), one Y(13), one Y(7), and one Y(9) atom to form OY4 trigonal pyramids that share  a cornercorner with one O(22)Gd2Y2 trigonal pyramid,  a cornercorner with one O(24)Gd2Y2 trigonal pyramid,  a cornercorner with one O(3)Gd2Y2 trigonal pyramid,  a cornercorner with one O(13)GdY3 trigonal pyramid,  a cornercorner with one O(7)GdY3 trigonal pyramid,  a cornercorner with one O(8)GdY3 trigonal pyramid,  a cornercorner with one O(9)GdY3 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(2)Y4 trigonal pyramid,  a cornercorner with one O(5)Y4 trigonal pyramid,  a cornercorner with one O(6)Y4 trigonal pyramid,  an edgeedge with one O(18)GdY3 trigonal pyramid,  an edgeedge with one O(19)Y4 trigonal pyramid,  an edgeedge with one O(23)Y4 trigonal pyramid, and  an edgeedge with one O(4)Y4 trigonal pyramid. In the fifteenth O site, O(15) is bonded to one Gd(1), one Gd(3), one Y(10), and one Y(3) atom to form OGd2Y2 trigonal pyramids that share  a cornercorner with one O(22)Gd2Y2 trigonal pyramid,  a cornercorner with one O(24)Gd2Y2 trigonal pyramid,  a cornercorner with one O(11)GdY3 trigonal pyramid,  a cornercorner with one O(16)GdY3 trigonal pyramid,  a cornercorner with one O(18)GdY3 trigonal pyramid,  a cornercorner with one O(7)GdY3 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(19)Y4 trigonal pyramid,  a cornercorner with one O(21)Y4 trigonal pyramid,  a cornercorner with one O(23)Y4 trigonal pyramid,  a cornercorner with one O(6)Y4 trigonal pyramid,  an edgeedge with one O(20)Gd2Y2 tetrahedra,  an edgeedge with one O(3)Gd2Y2 trigonal pyramid,  an edgeedge with one O(8)GdY3 trigonal pyramid, and  an edgeedge with one O(2)Y4 trigonal pyramid. In the sixteenth O site, O(16) is bonded to one Gd(1), one Y(1), one Y(11), and one Y(4) atom to form OGdY3 trigonal pyramids that share  a cornercorner with one O(15)Gd2Y2 trigonal pyramid,  a cornercorner with one O(24)Gd2Y2 trigonal pyramid,  a cornercorner with one O(11)GdY3 trigonal pyramid,  a cornercorner with one O(17)GdY3 trigonal pyramid,  a cornercorner with one O(8)GdY3 trigonal pyramid,  a cornercorner with one O(9)GdY3 trigonal pyramid,  a cornercorner with one O(10)Y4 trigonal pyramid,  a cornercorner with one O(21)Y4 trigonal pyramid,  a cornercorner with one O(23)Y4 trigonal pyramid,  a cornercorner with one O(4)Y4 trigonal pyramid,  a cornercorner with one O(5)Y4 trigonal pyramid,  a cornercorner with one O(6)Y4 trigonal pyramid,  an edgeedge with one O(20)Gd2Y2 tetrahedra,  an edgeedge with one O(3)Gd2Y2 trigonal pyramid,  an edgeedge with one O(7)GdY3 trigonal pyramid, and  an edgeedge with one O(1)Y4 trigonal pyramid. In the seventeenth O site, O(17) is bonded to one Gd(2), one Y(11), one Y(5), and one Y(8) atom to form OGdY3 trigonal pyramids that share  a cornercorner with one O(22)Gd2Y2 trigonal pyramid,  a cornercorner with one O(24)Gd2Y2 trigonal pyramid,  a cornercorner with one O(11)GdY3 trigonal pyramid,  a cornercorner with one O(16)GdY3 trigonal pyramid,  a cornercorner with one O(18)GdY3 trigonal pyramid,  a cornercorner with one O(7)GdY3 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(19)Y4 trigonal pyramid,  a cornercorner with one O(21)Y4 trigonal pyramid,  a cornercorner with one O(23)Y4 trigonal pyramid,  a cornercorner with one O(6)Y4 trigonal pyramid,  an edgeedge with one O(20)Gd2Y2 tetrahedra,  an edgeedge with one O(13)GdY3 trigonal pyramid,  an edgeedge with one O(9)GdY3 trigonal pyramid, and  an edgeedge with one O(5)Y4 trigonal pyramid. In the eighteenth O site, O(18) is bonded to one Gd(3), one Y(13), one Y(5), and one Y(7) atom to form OGdY3 trigonal pyramids that share  a cornercorner with one O(15)Gd2Y2 trigonal pyramid,  a cornercorner with one O(24)Gd2Y2 trigonal pyramid,  a cornercorner with one O(11)GdY3 trigonal pyramid,  a cornercorner with one O(17)GdY3 trigonal pyramid,  a cornercorner with one O(8)GdY3 trigonal pyramid,  a cornercorner with one O(9)GdY3 trigonal pyramid,  a cornercorner with one O(10)Y4 trigonal pyramid,  a cornercorner with one O(21)Y4 trigonal pyramid,  a cornercorner with one O(23)Y4 trigonal pyramid,  a cornercorner with one O(4)Y4 trigonal pyramid,  a cornercorner with one O(5)Y4 trigonal pyramid,  a cornercorner with one O(6)Y4 trigonal pyramid,  an edgeedge with one O(22)Gd2Y2 trigonal pyramid,  an edgeedge with one O(3)Gd2Y2 trigonal pyramid,  an edgeedge with one O(12)Y4 trigonal pyramid, and  an edgeedge with one O(14)Y4 trigonal pyramid. In the nineteenth O site, O(19) is bonded to one Y(12), one Y(3), one Y(8), and one Y(9) atom to form OY4 trigonal pyramids that share  a cornercorner with one O(15)Gd2Y2 trigonal pyramid,  a cornercorner with one O(24)Gd2Y2 trigonal pyramid,  a cornercorner with one O(11)GdY3 trigonal pyramid,  a cornercorner with one O(17)GdY3 trigonal pyramid,  a cornercorner with one O(8)GdY3 trigonal pyramid,  a cornercorner with one O(9)GdY3 trigonal pyramid,  a cornercorner with one O(10)Y4 trigonal pyramid,  a cornercorner with one O(21)Y4 trigonal pyramid,  a cornercorner with one O(23)Y4 trigonal pyramid,  a cornercorner with one O(4)Y4 trigonal pyramid,  a cornercorner with one O(5)Y4 trigonal pyramid,  a cornercorner with one O(6)Y4 trigonal pyramid,  an edgeedge with one O(13)GdY3 trigonal pyramid,  an edgeedge with one O(7)GdY3 trigonal pyramid,  an edgeedge with one O(14)Y4 trigonal pyramid, and  an edgeedge with one O(2)Y4 trigonal pyramid. In the twentieth O site, O(20) is bonded to one Gd(1), one Gd(2), one Y(10), and one Y(11) atom to form OGd2Y2 tetrahedra that share  a cornercorner with one O(22)Gd2Y2 trigonal pyramid,  a cornercorner with one O(24)Gd2Y2 trigonal pyramid,  a cornercorner with one O(3)Gd2Y2 trigonal pyramid,  a cornercorner with one O(13)GdY3 trigonal pyramid,  a cornercorner with one O(7)GdY3 trigonal pyramid,  a cornercorner with one O(8)GdY3 trigonal pyramid,  a cornercorner with one O(9)GdY3 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(2)Y4 trigonal pyramid,  a cornercorner with one O(5)Y4 trigonal pyramid,  a cornercorner with one O(6)Y4 trigonal pyramid,  an edgeedge with one O(15)Gd2Y2 trigonal pyramid,  an edgeedge with one O(16)GdY3 trigonal pyramid,  an edgeedge with one O(17)GdY3 trigonal pyramid, and  an edgeedge with one O(23)Y4 trigonal pyramid. In the twenty-first O site, O(21) 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)Gd2Y2 trigonal pyramid,  a cornercorner with one O(24)Gd2Y2 trigonal pyramid,  a cornercorner with one O(3)Gd2Y2 trigonal pyramid,  a cornercorner with one O(13)GdY3 trigonal pyramid,  a cornercorner with one O(16)GdY3 trigonal pyramid,  a cornercorner with one O(17)GdY3 trigonal pyramid,  a cornercorner with one O(18)GdY3 trigonal pyramid,  a cornercorner with one O(10)Y4 trigonal pyramid,  a cornercorner with one O(19)Y4 trigonal pyramid,  a cornercorner with one O(2)Y4 trigonal pyramid,  a cornercorner with one O(4)Y4 trigonal pyramid,  a cornercorner with one O(6)Y4 trigonal pyramid,  an edgeedge with one O(8)GdY3 trigonal pyramid,  an edgeedge with one O(9)GdY3 trigonal pyramid,  an edgeedge with one O(1)Y4 trigonal pyramid, and  an edgeedge with one O(12)Y4 trigonal pyramid. In the twenty-second O site, O(22) is bonded to one Gd(2), one Gd(3), one Y(6), and one Y(7) atom to form OGd2Y2 trigonal pyramids that share  a cornercorner with one O(20)Gd2Y2 tetrahedra,  a cornercorner with one O(15)Gd2Y2 trigonal pyramid,  a cornercorner with one O(3)Gd2Y2 trigonal pyramid,  a cornercorner with one O(13)GdY3 trigonal pyramid,  a cornercorner with one O(17)GdY3 trigonal pyramid,  a cornercorner with one O(8)GdY3 trigonal pyramid,  a cornercorner with one O(9)GdY3 trigonal pyramid,  a cornercorner with one O(1)Y4 trigonal pyramid,  a cornercorner with one O(14)Y4 trigonal pyramid,  a cornercorner with one O(2)Y4 trigonal pyramid,  a cornercorner with one O(4)Y4 trigonal pyramid,  a cornercorner with one O(5)Y4 trigonal pyramid,  an edgeedge with one O(24)Gd2Y2 trigonal pyramid,  an edgeedge with one O(11)GdY3 trigonal pyramid,  an edgeedge with one O(18)GdY3 trigonal pyramid, and  an edgeedge with one O(10)Y4 trigonal pyramid. In the twenty-third O site, O(23) is bonded to one Y(10), one Y(11), one Y(12), and one Y(13) atom to form OY4 trigonal pyramids that share  a cornercorner with one O(15)Gd2Y2 trigonal pyramid,  a cornercorner with one O(24)Gd2Y2 trigonal pyramid,  a cornercorner with one O(3)Gd2Y2 trigonal pyramid,  a cornercorner with one O(13)GdY3 trigonal pyramid,  a cornercorner with one O(16)GdY3 trigonal pyramid,  a cornercorner with one O(17)GdY3 trigonal pyramid,  a cornercorner with one O(18)GdY3 trigonal pyramid,  a cornercorner with one O(10)Y4 trigonal pyramid,  a cornercorner with one O(19)Y4 trigonal pyramid,  a cornercorner with one O(2)Y4 trigonal pyramid,  a cornercorner with one O(4)Y4 trigonal pyramid,  a cornercorner with one O(6)Y4 trigonal pyramid,  an edgeedge with one O(20)Gd2Y2 tetrahedra,  an edgeedge with one O(12)Y4 trigonal pyramid,  an edgeedge with one O(14)Y4 trigonal pyramid, and  an edgeedge with one O(5)Y4 trigonal pyramid. In the twenty-fourth O site, O(24) is bonded to one Gd(2), one Gd(3), one Y(1), and one Y(12) atom to form OGd2Y2 trigonal pyramids that share  a cornercorner with one O(20)Gd2Y2 tetrahedra,  a cornercorner with one O(15)Gd2Y2 trigonal pyramid,  a cornercorner with one O(11)GdY3 trigonal pyramid,  a cornercorner with one O(16)GdY3 trigonal pyramid,  a cornercorner with one O(17)GdY3 trigonal pyramid,  a cornercorner with one O(18)GdY3 trigonal pyramid,  a cornercorner with one O(1)Y4 trigonal pyramid,  a cornercorner with one O(14)Y4 trigonal pyramid,  a cornercorner with one O(19)Y4 trigonal pyramid,  a cornercorner with one O(21)Y4 trigonal pyramid,  a cornercorner with one O(23)Y4 trigonal pyramid,  a cornercorner with one O(4)Y4 trigonal pyramid,  an edgeedge with one O(22)Gd2Y2 trigonal pyramid,  an edgeedge with one O(3)Gd2Y2 trigonal pyramid,  an edgeedge with one O(13)GdY3 trigonal pyramid, and  an edgeedge with one O(9)GdY3 trigonal pyramid.