MgY14(ReO14)2 crystallizes in the triclinic P1 space group. Mg(1) is bonded in a 6-coordinate geometry to one O(11), one O(16), one O(17), one O(18), one O(23), and one O(5) atom. There are fourteen inequivalent Y sites. In the first Y site, Y(1) is bonded in a 8-coordinate geometry to one O(17), one O(18), one O(22), one O(23), one O(3), one O(5), one O(7), and one O(8) atom. In the second Y site, Y(2) is bonded in a body-centered cubic geometry to one O(1), one O(12), one O(13), one O(19), one O(2), one O(27), one O(28), and one O(6) atom. In the third Y site, Y(3) is bonded in a 7-coordinate geometry to one O(11), one O(14), one O(15), one O(17), one O(18), one O(7), and one O(8) atom. In the fourth Y site, Y(4) is bonded in a 7-coordinate geometry to one O(1), one O(14), one O(16), one O(17), one O(19), one O(21), and one O(22) atom. In the fifth Y site, Y(5) is bonded to one O(19), one O(2), one O(24), one O(27), one O(4), and one O(6) atom to form distorted YO6 octahedra that share corners with two equivalent Re(2)O6 octahedra,  an edgeedge with one Y(6)O6 octahedra,  an edgeedge with one Y(12)O7 pentagonal bipyramid, and  an edgeedge with one Y(14)O7 pentagonal bipyramid. The corner-sharing octahedral tilt angles range from 54-55°. In the sixth Y site, Y(6) is bonded to one O(10), one O(12), one O(3), one O(4), one O(6), and one O(8) atom to form distorted YO6 octahedra that share  a cornercorner with one Y(9)O6 octahedra,  a cornercorner with one Re(1)O6 octahedra,  a cornercorner with one Re(2)O6 octahedra,  a cornercorner with one Y(12)O7 pentagonal bipyramid,  an edgeedge with one Y(5)O6 octahedra, and  an edgeedge with one Y(12)O7 pentagonal bipyramid. The corner-sharing octahedral tilt angles range from 55-63°. In the seventh Y site, Y(7) is bonded in a 6-coordinate geometry to one O(1), one O(14), one O(22), one O(25), one O(27), and one O(7) atom. In the eighth Y site, Y(8) is bonded in a 7-coordinate geometry to one O(10), one O(11), one O(26), one O(28), one O(5), one O(6), and one O(8) atom. In the ninth Y site, Y(9) is bonded to one O(1), one O(12), one O(13), one O(20), one O(25), and one O(28) atom to form distorted YO6 octahedra that share  a cornercorner with one Y(6)O6 octahedra, corners with two equivalent Re(2)O6 octahedra,  an edgeedge with one Y(12)O7 pentagonal bipyramid, and  an edgeedge with one Y(14)O7 pentagonal bipyramid. The corner-sharing octahedral tilt angles range from 55-63°. In the tenth Y site, Y(10) is bonded in a 7-coordinate geometry to one O(13), one O(16), one O(17), one O(19), one O(21), one O(23), and one O(24) atom. In the eleventh Y site, Y(11) is bonded in a 7-coordinate geometry to one O(11), one O(18), one O(2), one O(20), one O(26), one O(28), and one O(5) atom. In the twelfth Y site, Y(12) is bonded to one O(12), one O(15), one O(18), one O(2), one O(20), one O(3), and one O(4) atom to form distorted YO7 pentagonal bipyramids that share  a cornercorner with one Y(6)O6 octahedra,  a cornercorner with one Re(1)O6 octahedra,  an edgeedge with one Y(5)O6 octahedra,  an edgeedge with one Y(6)O6 octahedra,  an edgeedge with one Y(9)O6 octahedra, and  an edgeedge with one Re(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 23-57°. In the thirteenth Y site, Y(13) is bonded in a 7-coordinate geometry to one O(10), one O(16), one O(22), one O(23), one O(3), one O(5), and one O(9) atom. In the fourteenth Y site, Y(14) is bonded to one O(13), one O(23), one O(24), one O(25), one O(27), one O(7), and one O(9) atom to form distorted YO7 pentagonal bipyramids that share  a cornercorner with one Re(1)O6 octahedra,  an edgeedge with one Y(5)O6 octahedra,  an edgeedge with one Y(9)O6 octahedra, and  an edgeedge with one Re(2)O6 octahedra. The corner-sharing octahedral tilt angles are 27°. There are two inequivalent Re sites. In the first Re site, Re(1) is bonded to one O(10), one O(11), one O(14), one O(15), one O(16), and one O(9) atom to form ReO6 octahedra that share  a cornercorner with one Y(6)O6 octahedra,  a cornercorner with one Y(12)O7 pentagonal bipyramid, and  a cornercorner with one Y(14)O7 pentagonal bipyramid. The corner-sharing octahedral tilt angles are 55°. In the second Re site, Re(2) is bonded to one O(20), one O(21), one O(24), one O(25), one O(26), and one O(4) atom to form ReO6 octahedra that share  a cornercorner with one Y(6)O6 octahedra, corners with two equivalent Y(5)O6 octahedra, corners with two equivalent Y(9)O6 octahedra,  an edgeedge with one Y(12)O7 pentagonal bipyramid, and  an edgeedge with one Y(14)O7 pentagonal bipyramid. The corner-sharing octahedral tilt angles range from 54-56°. There are twenty-eight inequivalent O sites. In the first O site, O(1) is bonded to one Y(2), one Y(4), one Y(7), and one Y(9) atom to form OY4 tetrahedra that share  a cornercorner with one O(20)Y3Re tetrahedra,  a cornercorner with one O(2)Y4 tetrahedra,  a cornercorner with one O(6)Y4 tetrahedra,  a cornercorner with one O(7)Y4 tetrahedra, corners with two equivalent O(13)Y4 tetrahedra, corners with two equivalent O(22)Y4 tetrahedra,  an edgeedge with one O(14)Y3Re tetrahedra,  an edgeedge with one O(12)Y4 tetrahedra,  an edgeedge with one O(19)Y4 tetrahedra,  an edgeedge with one O(27)Y4 tetrahedra, and  an edgeedge with one O(25)Y3Re trigonal pyramid. In the second O site, O(2) is bonded to one Y(11), one Y(12), one Y(2), and one Y(5) atom to form OY4 tetrahedra that share  a cornercorner with one O(24)Y3Re tetrahedra,  a cornercorner with one O(1)Y4 tetrahedra,  a cornercorner with one O(13)Y4 tetrahedra,  a cornercorner with one O(3)Y4 tetrahedra, corners with two equivalent O(20)Y3Re tetrahedra, corners with two equivalent O(27)Y4 tetrahedra, corners with two equivalent O(6)Y4 tetrahedra,  a cornercorner with one O(11)Y3MgRe trigonal bipyramid, corners with two equivalent O(18)Y4Mg trigonal bipyramids,  an edgeedge with one O(12)Y4 tetrahedra,  an edgeedge with one O(19)Y4 tetrahedra, and  an edgeedge with one O(4)Y3Re trigonal pyramid. In the third O site, O(3) is bonded to one Y(1), one Y(12), one Y(13), and one Y(6) atom to form OY4 tetrahedra that share  a cornercorner with one O(20)Y3Re tetrahedra,  a cornercorner with one O(2)Y4 tetrahedra,  a cornercorner with one O(6)Y4 tetrahedra,  a cornercorner with one O(7)Y4 tetrahedra, corners with two equivalent O(12)Y4 tetrahedra,  an edgeedge with one O(10)Y3Re tetrahedra,  an edgeedge with one O(22)Y4 tetrahedra,  an edgeedge with one O(8)Y4 tetrahedra,  an edgeedge with one O(18)Y4Mg trigonal bipyramid, and  an edgeedge with one O(4)Y3Re trigonal pyramid. In the fourth O site, O(4) is bonded to one Y(12), one Y(5), one Y(6), and one Re(2) atom to form distorted OY3Re trigonal pyramids that share  a cornercorner with one O(10)Y3Re tetrahedra,  a cornercorner with one O(19)Y4 tetrahedra,  a cornercorner with one O(27)Y4 tetrahedra,  a cornercorner with one O(8)Y4 tetrahedra, corners with two equivalent O(24)Y3Re tetrahedra, corners with two equivalent O(12)Y4 tetrahedra,  a cornercorner with one O(18)Y4Mg trigonal bipyramid,  a cornercorner with one O(25)Y3Re trigonal pyramid,  an edgeedge with one O(20)Y3Re tetrahedra,  an edgeedge with one O(2)Y4 tetrahedra,  an edgeedge with one O(3)Y4 tetrahedra, and  an edgeedge with one O(6)Y4 tetrahedra. In the fifth O site, O(5) is bonded in a 5-coordinate geometry to one Mg(1), one Y(1), one Y(11), one Y(13), and one Y(8) atom. In the sixth O site, O(6) is bonded to one Y(2), one Y(5), one Y(6), and one Y(8) atom to form OY4 tetrahedra that share  a cornercorner with one O(24)Y3Re tetrahedra,  a cornercorner with one O(1)Y4 tetrahedra,  a cornercorner with one O(13)Y4 tetrahedra,  a cornercorner with one O(3)Y4 tetrahedra, corners with two equivalent O(19)Y4 tetrahedra, corners with two equivalent O(2)Y4 tetrahedra, corners with two equivalent O(8)Y4 tetrahedra,  a cornercorner with one O(11)Y3MgRe trigonal bipyramid,  an edgeedge with one O(10)Y3Re tetrahedra,  an edgeedge with one O(12)Y4 tetrahedra,  an edgeedge with one O(27)Y4 tetrahedra, and  an edgeedge with one O(4)Y3Re trigonal pyramid. In the seventh O site, O(7) is bonded to one Y(1), one Y(14), one Y(3), and one Y(7) atom to form OY4 tetrahedra that share  a cornercorner with one O(24)Y3Re tetrahedra,  a cornercorner with one O(1)Y4 tetrahedra,  a cornercorner with one O(13)Y4 tetrahedra,  a cornercorner with one O(3)Y4 tetrahedra, corners with two equivalent O(27)Y4 tetrahedra,  a cornercorner with one O(11)Y3MgRe trigonal bipyramid, corners with two equivalent O(18)Y4Mg trigonal bipyramids,  an edgeedge with one O(14)Y3Re tetrahedra,  an edgeedge with one O(22)Y4 tetrahedra,  an edgeedge with one O(8)Y4 tetrahedra, and  an edgeedge with one O(25)Y3Re trigonal pyramid. In the eighth O site, O(8) is bonded to one Y(1), one Y(3), one Y(6), and one Y(8) atom to form OY4 tetrahedra that share  a cornercorner with one O(14)Y3Re tetrahedra,  a cornercorner with one O(12)Y4 tetrahedra,  a cornercorner with one O(22)Y4 tetrahedra, corners with two equivalent O(10)Y3Re tetrahedra, corners with two equivalent O(6)Y4 tetrahedra, corners with two equivalent O(18)Y4Mg trigonal bipyramids,  a cornercorner with one O(4)Y3Re trigonal pyramid,  an edgeedge with one O(3)Y4 tetrahedra,  an edgeedge with one O(7)Y4 tetrahedra, and  an edgeedge with one O(11)Y3MgRe trigonal bipyramid. In the ninth O site, O(9) is bonded in a 3-coordinate geometry to one Y(13), one Y(14), and one Re(1) atom. In the tenth O site, O(10) is bonded to one Y(13), one Y(6), one Y(8), and one Re(1) atom to form OY3Re tetrahedra that share  a cornercorner with one O(14)Y3Re tetrahedra,  a cornercorner with one O(12)Y4 tetrahedra,  a cornercorner with one O(22)Y4 tetrahedra, corners with two equivalent O(8)Y4 tetrahedra,  a cornercorner with one O(4)Y3Re trigonal pyramid,  an edgeedge with one O(3)Y4 tetrahedra,  an edgeedge with one O(6)Y4 tetrahedra, and  an edgeedge with one O(11)Y3MgRe trigonal bipyramid. In the eleventh O site, O(11) is bonded to one Mg(1), one Y(11), one Y(3), one Y(8), and one Re(1) atom to form distorted OY3MgRe trigonal bipyramids that share  a cornercorner with one O(20)Y3Re tetrahedra,  a cornercorner with one O(2)Y4 tetrahedra,  a cornercorner with one O(6)Y4 tetrahedra,  a cornercorner with one O(7)Y4 tetrahedra, corners with two equivalent O(14)Y3Re tetrahedra,  an edgeedge with one O(10)Y3Re tetrahedra,  an edgeedge with one O(8)Y4 tetrahedra, and  a faceface with one O(18)Y4Mg trigonal bipyramid. In the twelfth O site, O(12) is bonded to one Y(12), one Y(2), one Y(6), and one Y(9) atom to form OY4 tetrahedra that share  a cornercorner with one O(10)Y3Re tetrahedra,  a cornercorner with one O(19)Y4 tetrahedra,  a cornercorner with one O(27)Y4 tetrahedra,  a cornercorner with one O(8)Y4 tetrahedra, corners with two equivalent O(13)Y4 tetrahedra, corners with two equivalent O(3)Y4 tetrahedra,  a cornercorner with one O(18)Y4Mg trigonal bipyramid,  a cornercorner with one O(25)Y3Re trigonal pyramid, corners with two equivalent O(4)Y3Re trigonal pyramids,  an edgeedge with one O(20)Y3Re tetrahedra,  an edgeedge with one O(1)Y4 tetrahedra,  an edgeedge with one O(2)Y4 tetrahedra, and  an edgeedge with one O(6)Y4 tetrahedra. In the thirteenth O site, O(13) is bonded to one Y(10), one Y(14), one Y(2), and one Y(9) atom to form OY4 tetrahedra that share  a cornercorner with one O(20)Y3Re tetrahedra,  a cornercorner with one O(2)Y4 tetrahedra,  a cornercorner with one O(6)Y4 tetrahedra,  a cornercorner with one O(7)Y4 tetrahedra, corners with two equivalent O(24)Y3Re tetrahedra, corners with two equivalent O(1)Y4 tetrahedra, corners with two equivalent O(12)Y4 tetrahedra,  an edgeedge with one O(19)Y4 tetrahedra,  an edgeedge with one O(27)Y4 tetrahedra, and  an edgeedge with one O(25)Y3Re trigonal pyramid. In the fourteenth O site, O(14) is bonded to one Y(3), one Y(4), one Y(7), and one Re(1) atom to form OY3Re tetrahedra that share  a cornercorner with one O(10)Y3Re tetrahedra,  a cornercorner with one O(19)Y4 tetrahedra,  a cornercorner with one O(27)Y4 tetrahedra,  a cornercorner with one O(8)Y4 tetrahedra, corners with two equivalent O(22)Y4 tetrahedra,  a cornercorner with one O(18)Y4Mg trigonal bipyramid, corners with two equivalent O(11)Y3MgRe trigonal bipyramids,  a cornercorner with one O(25)Y3Re trigonal pyramid,  an edgeedge with one O(1)Y4 tetrahedra, and  an edgeedge with one O(7)Y4 tetrahedra. In the fifteenth O site, O(15) is bonded in a 3-coordinate geometry to one Y(12), one Y(3), and one Re(1) atom. In the sixteenth O site, O(16) is bonded in a 5-coordinate geometry to one Mg(1), one Y(10), one Y(13), one Y(4), and one Re(1) atom. In the seventeenth O site, O(17) is bonded in a 4-coordinate geometry to one Mg(1), one Y(1), one Y(10), one Y(3), and one Y(4) atom. In the eighteenth O site, O(18) is bonded to one Mg(1), one Y(1), one Y(11), one Y(12), and one Y(3) atom to form distorted OY4Mg trigonal bipyramids that share  a cornercorner with one O(14)Y3Re tetrahedra,  a cornercorner with one O(12)Y4 tetrahedra,  a cornercorner with one O(22)Y4 tetrahedra, corners with two equivalent O(2)Y4 tetrahedra, corners with two equivalent O(7)Y4 tetrahedra, corners with two equivalent O(8)Y4 tetrahedra,  a cornercorner with one O(4)Y3Re trigonal pyramid,  an edgeedge with one O(20)Y3Re tetrahedra,  an edgeedge with one O(3)Y4 tetrahedra, and  a faceface with one O(11)Y3MgRe trigonal bipyramid. In the nineteenth O site, O(19) is bonded to one Y(10), one Y(2), one Y(4), and one Y(5) atom to form distorted OY4 tetrahedra that share  a cornercorner with one O(14)Y3Re tetrahedra,  a cornercorner with one O(12)Y4 tetrahedra,  a cornercorner with one O(22)Y4 tetrahedra, corners with two equivalent O(27)Y4 tetrahedra, corners with two equivalent O(6)Y4 tetrahedra,  a cornercorner with one O(4)Y3Re trigonal pyramid,  an edgeedge with one O(24)Y3Re tetrahedra,  an edgeedge with one O(1)Y4 tetrahedra,  an edgeedge with one O(13)Y4 tetrahedra, and  an edgeedge with one O(2)Y4 tetrahedra. In the twentieth O site, O(20) is bonded to one Y(11), one Y(12), one Y(9), and one Re(2) atom to form OY3Re tetrahedra that share  a cornercorner with one O(24)Y3Re tetrahedra,  a cornercorner with one O(1)Y4 tetrahedra,  a cornercorner with one O(13)Y4 tetrahedra,  a cornercorner with one O(3)Y4 tetrahedra, corners with two equivalent O(2)Y4 tetrahedra,  a cornercorner with one O(11)Y3MgRe trigonal bipyramid, corners with two equivalent O(25)Y3Re trigonal pyramids,  an edgeedge with one O(12)Y4 tetrahedra,  an edgeedge with one O(18)Y4Mg trigonal bipyramid, and  an edgeedge with one O(4)Y3Re trigonal pyramid. In the twenty-first O site, O(21) is bonded in a 2-coordinate geometry to one Y(10), one Y(4), and one Re(2) atom. In the twenty-second O site, O(22) is bonded to one Y(1), one Y(13), one Y(4), and one Y(7) atom to form OY4 tetrahedra that share  a cornercorner with one O(10)Y3Re tetrahedra,  a cornercorner with one O(19)Y4 tetrahedra,  a cornercorner with one O(27)Y4 tetrahedra,  a cornercorner with one O(8)Y4 tetrahedra, corners with two equivalent O(14)Y3Re tetrahedra, corners with two equivalent O(1)Y4 tetrahedra,  a cornercorner with one O(18)Y4Mg trigonal bipyramid,  a cornercorner with one O(25)Y3Re trigonal pyramid,  an edgeedge with one O(3)Y4 tetrahedra, and  an edgeedge with one O(7)Y4 tetrahedra. In the twenty-third O site, O(23) is bonded in a 5-coordinate geometry to one Mg(1), one Y(1), one Y(10), one Y(13), and one Y(14) atom. In the twenty-fourth O site, O(24) is bonded to one Y(10), one Y(14), one Y(5), and one Re(2) atom to form OY3Re tetrahedra that share  a cornercorner with one O(20)Y3Re tetrahedra,  a cornercorner with one O(2)Y4 tetrahedra,  a cornercorner with one O(6)Y4 tetrahedra,  a cornercorner with one O(7)Y4 tetrahedra, corners with two equivalent O(13)Y4 tetrahedra, corners with two equivalent O(4)Y3Re trigonal pyramids,  an edgeedge with one O(19)Y4 tetrahedra,  an edgeedge with one O(27)Y4 tetrahedra, and  an edgeedge with one O(25)Y3Re trigonal pyramid. In the twenty-fifth O site, O(25) is bonded to one Y(14), one Y(7), one Y(9), and one Re(2) atom to form distorted OY3Re trigonal pyramids that share  a cornercorner with one O(14)Y3Re tetrahedra,  a cornercorner with one O(12)Y4 tetrahedra,  a cornercorner with one O(22)Y4 tetrahedra, corners with two equivalent O(20)Y3Re tetrahedra, corners with two equivalent O(27)Y4 tetrahedra,  a cornercorner with one O(4)Y3Re trigonal pyramid,  an edgeedge with one O(24)Y3Re tetrahedra,  an edgeedge with one O(1)Y4 tetrahedra,  an edgeedge with one O(13)Y4 tetrahedra, and  an edgeedge with one O(7)Y4 tetrahedra. In the twenty-sixth O site, O(26) is bonded in a 2-coordinate geometry to one Y(11), one Y(8), and one Re(2) atom. In the twenty-seventh O site, O(27) is bonded to one Y(14), one Y(2), one Y(5), and one Y(7) atom to form OY4 tetrahedra that share  a cornercorner with one O(14)Y3Re tetrahedra,  a cornercorner with one O(12)Y4 tetrahedra,  a cornercorner with one O(22)Y4 tetrahedra, corners with two equivalent O(19)Y4 tetrahedra, corners with two equivalent O(2)Y4 tetrahedra, corners with two equivalent O(7)Y4 tetrahedra,  a cornercorner with one O(4)Y3Re trigonal pyramid, corners with two equivalent O(25)Y3Re trigonal pyramids,  an edgeedge with one O(24)Y3Re tetrahedra,  an edgeedge with one O(1)Y4 tetrahedra,  an edgeedge with one O(13)Y4 tetrahedra, and  an edgeedge with one O(6)Y4 tetrahedra. In the twenty-eighth O site, O(28) is bonded in a 4-coordinate geometry to one Y(11), one Y(2), one Y(8), and one Y(9) atom.
MgY14(ReO14)2 crystallizes in the triclinic P1 space group. Mg(1) is bonded in a 6-coordinate geometry to one O(11), one O(16), one O(17), one O(18), one O(23), and one O(5) atom. The Mg(1)-O(11) bond length is 2.11 Å. The Mg(1)-O(16) bond length is 2.10 Å. The Mg(1)-O(17) bond length is 2.03 Å. The Mg(1)-O(18) bond length is 2.22 Å. The Mg(1)-O(23) bond length is 2.17 Å. The Mg(1)-O(5) bond length is 2.04 Å. There are fourteen inequivalent Y sites. In the first Y site, Y(1) is bonded in a 8-coordinate geometry to one O(17), one O(18), one O(22), one O(23), one O(3), one O(5), one O(7), and one O(8) atom. The Y(1)-O(17) bond length is 3.00 Å. The Y(1)-O(18) bond length is 2.58 Å. The Y(1)-O(22) bond length is 2.29 Å. The Y(1)-O(23) bond length is 2.73 Å. The Y(1)-O(3) bond length is 2.31 Å. The Y(1)-O(5) bond length is 2.90 Å. The Y(1)-O(7) bond length is 2.36 Å. The Y(1)-O(8) bond length is 2.27 Å. In the second Y site, Y(2) is bonded in a body-centered cubic geometry to one O(1), one O(12), one O(13), one O(19), one O(2), one O(27), one O(28), and one O(6) atom. The Y(2)-O(1) bond length is 2.40 Å. The Y(2)-O(12) bond length is 2.46 Å. The Y(2)-O(13) bond length is 2.50 Å. The Y(2)-O(19) bond length is 2.64 Å. The Y(2)-O(2) bond length is 2.55 Å. The Y(2)-O(27) bond length is 2.45 Å. The Y(2)-O(28) bond length is 2.76 Å. The Y(2)-O(6) bond length is 2.43 Å. In the third Y site, Y(3) is bonded in a 7-coordinate geometry to one O(11), one O(14), one O(15), one O(17), one O(18), one O(7), and one O(8) atom. The Y(3)-O(11) bond length is 2.62 Å. The Y(3)-O(14) bond length is 2.24 Å. The Y(3)-O(15) bond length is 2.63 Å. The Y(3)-O(17) bond length is 2.23 Å. The Y(3)-O(18) bond length is 2.34 Å. The Y(3)-O(7) bond length is 2.30 Å. The Y(3)-O(8) bond length is 2.27 Å. In the fourth Y site, Y(4) is bonded in a 7-coordinate geometry to one O(1), one O(14), one O(16), one O(17), one O(19), one O(21), and one O(22) atom. The Y(4)-O(1) bond length is 2.26 Å. The Y(4)-O(14) bond length is 2.32 Å. The Y(4)-O(16) bond length is 2.62 Å. The Y(4)-O(17) bond length is 2.55 Å. The Y(4)-O(19) bond length is 2.20 Å. The Y(4)-O(21) bond length is 2.31 Å. The Y(4)-O(22) bond length is 2.37 Å. In the fifth Y site, Y(5) is bonded to one O(19), one O(2), one O(24), one O(27), one O(4), and one O(6) atom to form distorted YO6 octahedra that share corners with two equivalent Re(2)O6 octahedra,  an edgeedge with one Y(6)O6 octahedra,  an edgeedge with one Y(12)O7 pentagonal bipyramid, and  an edgeedge with one Y(14)O7 pentagonal bipyramid. The corner-sharing octahedral tilt angles range from 54-55°. The Y(5)-O(19) bond length is 2.28 Å. The Y(5)-O(2) bond length is 2.32 Å. The Y(5)-O(24) bond length is 2.25 Å. The Y(5)-O(27) bond length is 2.28 Å. The Y(5)-O(4) bond length is 2.36 Å. The Y(5)-O(6) bond length is 2.26 Å. In the sixth Y site, Y(6) is bonded to one O(10), one O(12), one O(3), one O(4), one O(6), and one O(8) atom to form distorted YO6 octahedra that share  a cornercorner with one Y(9)O6 octahedra,  a cornercorner with one Re(1)O6 octahedra,  a cornercorner with one Re(2)O6 octahedra,  a cornercorner with one Y(12)O7 pentagonal bipyramid,  an edgeedge with one Y(5)O6 octahedra, and  an edgeedge with one Y(12)O7 pentagonal bipyramid. The corner-sharing octahedral tilt angles range from 55-63°. The Y(6)-O(10) bond length is 2.27 Å. The Y(6)-O(12) bond length is 2.24 Å. The Y(6)-O(3) bond length is 2.32 Å. The Y(6)-O(4) bond length is 2.36 Å. The Y(6)-O(6) bond length is 2.24 Å. The Y(6)-O(8) bond length is 2.35 Å. In the seventh Y site, Y(7) is bonded in a 6-coordinate geometry to one O(1), one O(14), one O(22), one O(25), one O(27), and one O(7) atom. The Y(7)-O(1) bond length is 2.24 Å. The Y(7)-O(14) bond length is 2.27 Å. The Y(7)-O(22) bond length is 2.36 Å. The Y(7)-O(25) bond length is 2.36 Å. The Y(7)-O(27) bond length is 2.24 Å. The Y(7)-O(7) bond length is 2.32 Å. In the eighth Y site, Y(8) is bonded in a 7-coordinate geometry to one O(10), one O(11), one O(26), one O(28), one O(5), one O(6), and one O(8) atom. The Y(8)-O(10) bond length is 2.31 Å. The Y(8)-O(11) bond length is 2.63 Å. The Y(8)-O(26) bond length is 2.30 Å. The Y(8)-O(28) bond length is 2.17 Å. The Y(8)-O(5) bond length is 2.58 Å. The Y(8)-O(6) bond length is 2.26 Å. The Y(8)-O(8) bond length is 2.37 Å. In the ninth Y site, Y(9) is bonded to one O(1), one O(12), one O(13), one O(20), one O(25), and one O(28) atom to form distorted YO6 octahedra that share  a cornercorner with one Y(6)O6 octahedra, corners with two equivalent Re(2)O6 octahedra,  an edgeedge with one Y(12)O7 pentagonal bipyramid, and  an edgeedge with one Y(14)O7 pentagonal bipyramid. The corner-sharing octahedral tilt angles range from 55-63°. The Y(9)-O(1) bond length is 2.26 Å. The Y(9)-O(12) bond length is 2.27 Å. The Y(9)-O(13) bond length is 2.32 Å. The Y(9)-O(20) bond length is 2.27 Å. The Y(9)-O(25) bond length is 2.39 Å. The Y(9)-O(28) bond length is 2.27 Å. In the tenth Y site, Y(10) is bonded in a 7-coordinate geometry to one O(13), one O(16), one O(17), one O(19), one O(21), one O(23), and one O(24) atom. The Y(10)-O(13) bond length is 2.26 Å. The Y(10)-O(16) bond length is 2.56 Å. The Y(10)-O(17) bond length is 2.32 Å. The Y(10)-O(19) bond length is 2.25 Å. The Y(10)-O(21) bond length is 2.73 Å. The Y(10)-O(23) bond length is 2.32 Å. The Y(10)-O(24) bond length is 2.25 Å. In the eleventh Y site, Y(11) is bonded in a 7-coordinate geometry to one O(11), one O(18), one O(2), one O(20), one O(26), one O(28), and one O(5) atom. The Y(11)-O(11) bond length is 2.58 Å. The Y(11)-O(18) bond length is 2.34 Å. The Y(11)-O(2) bond length is 2.25 Å. The Y(11)-O(20) bond length is 2.24 Å. The Y(11)-O(26) bond length is 2.79 Å. The Y(11)-O(28) bond length is 2.23 Å. The Y(11)-O(5) bond length is 2.33 Å. In the twelfth Y site, Y(12) is bonded to one O(12), one O(15), one O(18), one O(2), one O(20), one O(3), and one O(4) atom to form distorted YO7 pentagonal bipyramids that share  a cornercorner with one Y(6)O6 octahedra,  a cornercorner with one Re(1)O6 octahedra,  an edgeedge with one Y(5)O6 octahedra,  an edgeedge with one Y(6)O6 octahedra,  an edgeedge with one Y(9)O6 octahedra, and  an edgeedge with one Re(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 23-57°. The Y(12)-O(12) bond length is 2.36 Å. The Y(12)-O(15) bond length is 2.33 Å. The Y(12)-O(18) bond length is 2.37 Å. The Y(12)-O(2) bond length is 2.33 Å. The Y(12)-O(20) bond length is 2.37 Å. The Y(12)-O(3) bond length is 2.30 Å. The Y(12)-O(4) bond length is 2.50 Å. In the thirteenth Y site, Y(13) is bonded in a 7-coordinate geometry to one O(10), one O(16), one O(22), one O(23), one O(3), one O(5), and one O(9) atom. The Y(13)-O(10) bond length is 2.25 Å. The Y(13)-O(16) bond length is 2.73 Å. The Y(13)-O(22) bond length is 2.28 Å. The Y(13)-O(23) bond length is 2.33 Å. The Y(13)-O(3) bond length is 2.32 Å. The Y(13)-O(5) bond length is 2.23 Å. The Y(13)-O(9) bond length is 2.51 Å. In the fourteenth Y site, Y(14) is bonded to one O(13), one O(23), one O(24), one O(25), one O(27), one O(7), and one O(9) atom to form distorted YO7 pentagonal bipyramids that share  a cornercorner with one Re(1)O6 octahedra,  an edgeedge with one Y(5)O6 octahedra,  an edgeedge with one Y(9)O6 octahedra, and  an edgeedge with one Re(2)O6 octahedra. The corner-sharing octahedral tilt angles are 27°. The Y(14)-O(13) bond length is 2.35 Å. The Y(14)-O(23) bond length is 2.34 Å. The Y(14)-O(24) bond length is 2.37 Å. The Y(14)-O(25) bond length is 2.51 Å. The Y(14)-O(27) bond length is 2.37 Å. The Y(14)-O(7) bond length is 2.31 Å. The Y(14)-O(9) bond length is 2.33 Å. There are two inequivalent Re sites. In the first Re site, Re(1) is bonded to one O(10), one O(11), one O(14), one O(15), one O(16), and one O(9) atom to form ReO6 octahedra that share  a cornercorner with one Y(6)O6 octahedra,  a cornercorner with one Y(12)O7 pentagonal bipyramid, and  a cornercorner with one Y(14)O7 pentagonal bipyramid. The corner-sharing octahedral tilt angles are 55°. The Re(1)-O(10) bond length is 2.05 Å. The Re(1)-O(11) bond length is 1.95 Å. The Re(1)-O(14) bond length is 2.05 Å. The Re(1)-O(15) bond length is 1.83 Å. The Re(1)-O(16) bond length is 1.94 Å. The Re(1)-O(9) bond length is 1.84 Å. In the second Re site, Re(2) is bonded to one O(20), one O(21), one O(24), one O(25), one O(26), and one O(4) atom to form ReO6 octahedra that share  a cornercorner with one Y(6)O6 octahedra, corners with two equivalent Y(5)O6 octahedra, corners with two equivalent Y(9)O6 octahedra,  an edgeedge with one Y(12)O7 pentagonal bipyramid, and  an edgeedge with one Y(14)O7 pentagonal bipyramid. The corner-sharing octahedral tilt angles range from 54-56°. The Re(2)-O(20) bond length is 2.04 Å. The Re(2)-O(21) bond length is 1.83 Å. The Re(2)-O(24) bond length is 2.03 Å. The Re(2)-O(25) bond length is 1.95 Å. The Re(2)-O(26) bond length is 1.83 Å. The Re(2)-O(4) bond length is 1.95 Å. There are twenty-eight inequivalent O sites. In the first O site, O(1) is bonded to one Y(2), one Y(4), one Y(7), and one Y(9) atom to form OY4 tetrahedra that share  a cornercorner with one O(20)Y3Re tetrahedra,  a cornercorner with one O(2)Y4 tetrahedra,  a cornercorner with one O(6)Y4 tetrahedra,  a cornercorner with one O(7)Y4 tetrahedra, corners with two equivalent O(13)Y4 tetrahedra, corners with two equivalent O(22)Y4 tetrahedra,  an edgeedge with one O(14)Y3Re tetrahedra,  an edgeedge with one O(12)Y4 tetrahedra,  an edgeedge with one O(19)Y4 tetrahedra,  an edgeedge with one O(27)Y4 tetrahedra, and  an edgeedge with one O(25)Y3Re trigonal pyramid. In the second O site, O(2) is bonded to one Y(11), one Y(12), one Y(2), and one Y(5) atom to form OY4 tetrahedra that share  a cornercorner with one O(24)Y3Re tetrahedra,  a cornercorner with one O(1)Y4 tetrahedra,  a cornercorner with one O(13)Y4 tetrahedra,  a cornercorner with one O(3)Y4 tetrahedra, corners with two equivalent O(20)Y3Re tetrahedra, corners with two equivalent O(27)Y4 tetrahedra, corners with two equivalent O(6)Y4 tetrahedra,  a cornercorner with one O(11)Y3MgRe trigonal bipyramid, corners with two equivalent O(18)Y4Mg trigonal bipyramids,  an edgeedge with one O(12)Y4 tetrahedra,  an edgeedge with one O(19)Y4 tetrahedra, and  an edgeedge with one O(4)Y3Re trigonal pyramid. In the third O site, O(3) is bonded to one Y(1), one Y(12), one Y(13), and one Y(6) atom to form OY4 tetrahedra that share  a cornercorner with one O(20)Y3Re tetrahedra,  a cornercorner with one O(2)Y4 tetrahedra,  a cornercorner with one O(6)Y4 tetrahedra,  a cornercorner with one O(7)Y4 tetrahedra, corners with two equivalent O(12)Y4 tetrahedra,  an edgeedge with one O(10)Y3Re tetrahedra,  an edgeedge with one O(22)Y4 tetrahedra,  an edgeedge with one O(8)Y4 tetrahedra,  an edgeedge with one O(18)Y4Mg trigonal bipyramid, and  an edgeedge with one O(4)Y3Re trigonal pyramid. In the fourth O site, O(4) is bonded to one Y(12), one Y(5), one Y(6), and one Re(2) atom to form distorted OY3Re trigonal pyramids that share  a cornercorner with one O(10)Y3Re tetrahedra,  a cornercorner with one O(19)Y4 tetrahedra,  a cornercorner with one O(27)Y4 tetrahedra,  a cornercorner with one O(8)Y4 tetrahedra, corners with two equivalent O(24)Y3Re tetrahedra, corners with two equivalent O(12)Y4 tetrahedra,  a cornercorner with one O(18)Y4Mg trigonal bipyramid,  a cornercorner with one O(25)Y3Re trigonal pyramid,  an edgeedge with one O(20)Y3Re tetrahedra,  an edgeedge with one O(2)Y4 tetrahedra,  an edgeedge with one O(3)Y4 tetrahedra, and  an edgeedge with one O(6)Y4 tetrahedra. In the fifth O site, O(5) is bonded in a 5-coordinate geometry to one Mg(1), one Y(1), one Y(11), one Y(13), and one Y(8) atom. In the sixth O site, O(6) is bonded to one Y(2), one Y(5), one Y(6), and one Y(8) atom to form OY4 tetrahedra that share  a cornercorner with one O(24)Y3Re tetrahedra,  a cornercorner with one O(1)Y4 tetrahedra,  a cornercorner with one O(13)Y4 tetrahedra,  a cornercorner with one O(3)Y4 tetrahedra, corners with two equivalent O(19)Y4 tetrahedra, corners with two equivalent O(2)Y4 tetrahedra, corners with two equivalent O(8)Y4 tetrahedra,  a cornercorner with one O(11)Y3MgRe trigonal bipyramid,  an edgeedge with one O(10)Y3Re tetrahedra,  an edgeedge with one O(12)Y4 tetrahedra,  an edgeedge with one O(27)Y4 tetrahedra, and  an edgeedge with one O(4)Y3Re trigonal pyramid. In the seventh O site, O(7) is bonded to one Y(1), one Y(14), one Y(3), and one Y(7) atom to form OY4 tetrahedra that share  a cornercorner with one O(24)Y3Re tetrahedra,  a cornercorner with one O(1)Y4 tetrahedra,  a cornercorner with one O(13)Y4 tetrahedra,  a cornercorner with one O(3)Y4 tetrahedra, corners with two equivalent O(27)Y4 tetrahedra,  a cornercorner with one O(11)Y3MgRe trigonal bipyramid, corners with two equivalent O(18)Y4Mg trigonal bipyramids,  an edgeedge with one O(14)Y3Re tetrahedra,  an edgeedge with one O(22)Y4 tetrahedra,  an edgeedge with one O(8)Y4 tetrahedra, and  an edgeedge with one O(25)Y3Re trigonal pyramid. In the eighth O site, O(8) is bonded to one Y(1), one Y(3), one Y(6), and one Y(8) atom to form OY4 tetrahedra that share  a cornercorner with one O(14)Y3Re tetrahedra,  a cornercorner with one O(12)Y4 tetrahedra,  a cornercorner with one O(22)Y4 tetrahedra, corners with two equivalent O(10)Y3Re tetrahedra, corners with two equivalent O(6)Y4 tetrahedra, corners with two equivalent O(18)Y4Mg trigonal bipyramids,  a cornercorner with one O(4)Y3Re trigonal pyramid,  an edgeedge with one O(3)Y4 tetrahedra,  an edgeedge with one O(7)Y4 tetrahedra, and  an edgeedge with one O(11)Y3MgRe trigonal bipyramid. In the ninth O site, O(9) is bonded in a 3-coordinate geometry to one Y(13), one Y(14), and one Re(1) atom. In the tenth O site, O(10) is bonded to one Y(13), one Y(6), one Y(8), and one Re(1) atom to form OY3Re tetrahedra that share  a cornercorner with one O(14)Y3Re tetrahedra,  a cornercorner with one O(12)Y4 tetrahedra,  a cornercorner with one O(22)Y4 tetrahedra, corners with two equivalent O(8)Y4 tetrahedra,  a cornercorner with one O(4)Y3Re trigonal pyramid,  an edgeedge with one O(3)Y4 tetrahedra,  an edgeedge with one O(6)Y4 tetrahedra, and  an edgeedge with one O(11)Y3MgRe trigonal bipyramid. In the eleventh O site, O(11) is bonded to one Mg(1), one Y(11), one Y(3), one Y(8), and one Re(1) atom to form distorted OY3MgRe trigonal bipyramids that share  a cornercorner with one O(20)Y3Re tetrahedra,  a cornercorner with one O(2)Y4 tetrahedra,  a cornercorner with one O(6)Y4 tetrahedra,  a cornercorner with one O(7)Y4 tetrahedra, corners with two equivalent O(14)Y3Re tetrahedra,  an edgeedge with one O(10)Y3Re tetrahedra,  an edgeedge with one O(8)Y4 tetrahedra, and  a faceface with one O(18)Y4Mg trigonal bipyramid. In the twelfth O site, O(12) is bonded to one Y(12), one Y(2), one Y(6), and one Y(9) atom to form OY4 tetrahedra that share  a cornercorner with one O(10)Y3Re tetrahedra,  a cornercorner with one O(19)Y4 tetrahedra,  a cornercorner with one O(27)Y4 tetrahedra,  a cornercorner with one O(8)Y4 tetrahedra, corners with two equivalent O(13)Y4 tetrahedra, corners with two equivalent O(3)Y4 tetrahedra,  a cornercorner with one O(18)Y4Mg trigonal bipyramid,  a cornercorner with one O(25)Y3Re trigonal pyramid, corners with two equivalent O(4)Y3Re trigonal pyramids,  an edgeedge with one O(20)Y3Re tetrahedra,  an edgeedge with one O(1)Y4 tetrahedra,  an edgeedge with one O(2)Y4 tetrahedra, and  an edgeedge with one O(6)Y4 tetrahedra. In the thirteenth O site, O(13) is bonded to one Y(10), one Y(14), one Y(2), and one Y(9) atom to form OY4 tetrahedra that share  a cornercorner with one O(20)Y3Re tetrahedra,  a cornercorner with one O(2)Y4 tetrahedra,  a cornercorner with one O(6)Y4 tetrahedra,  a cornercorner with one O(7)Y4 tetrahedra, corners with two equivalent O(24)Y3Re tetrahedra, corners with two equivalent O(1)Y4 tetrahedra, corners with two equivalent O(12)Y4 tetrahedra,  an edgeedge with one O(19)Y4 tetrahedra,  an edgeedge with one O(27)Y4 tetrahedra, and  an edgeedge with one O(25)Y3Re trigonal pyramid. In the fourteenth O site, O(14) is bonded to one Y(3), one Y(4), one Y(7), and one Re(1) atom to form OY3Re tetrahedra that share  a cornercorner with one O(10)Y3Re tetrahedra,  a cornercorner with one O(19)Y4 tetrahedra,  a cornercorner with one O(27)Y4 tetrahedra,  a cornercorner with one O(8)Y4 tetrahedra, corners with two equivalent O(22)Y4 tetrahedra,  a cornercorner with one O(18)Y4Mg trigonal bipyramid, corners with two equivalent O(11)Y3MgRe trigonal bipyramids,  a cornercorner with one O(25)Y3Re trigonal pyramid,  an edgeedge with one O(1)Y4 tetrahedra, and  an edgeedge with one O(7)Y4 tetrahedra. In the fifteenth O site, O(15) is bonded in a 3-coordinate geometry to one Y(12), one Y(3), and one Re(1) atom. In the sixteenth O site, O(16) is bonded in a 5-coordinate geometry to one Mg(1), one Y(10), one Y(13), one Y(4), and one Re(1) atom. In the seventeenth O site, O(17) is bonded in a 4-coordinate geometry to one Mg(1), one Y(1), one Y(10), one Y(3), and one Y(4) atom. In the eighteenth O site, O(18) is bonded to one Mg(1), one Y(1), one Y(11), one Y(12), and one Y(3) atom to form distorted OY4Mg trigonal bipyramids that share  a cornercorner with one O(14)Y3Re tetrahedra,  a cornercorner with one O(12)Y4 tetrahedra,  a cornercorner with one O(22)Y4 tetrahedra, corners with two equivalent O(2)Y4 tetrahedra, corners with two equivalent O(7)Y4 tetrahedra, corners with two equivalent O(8)Y4 tetrahedra,  a cornercorner with one O(4)Y3Re trigonal pyramid,  an edgeedge with one O(20)Y3Re tetrahedra,  an edgeedge with one O(3)Y4 tetrahedra, and  a faceface with one O(11)Y3MgRe trigonal bipyramid. In the nineteenth O site, O(19) is bonded to one Y(10), one Y(2), one Y(4), and one Y(5) atom to form distorted OY4 tetrahedra that share  a cornercorner with one O(14)Y3Re tetrahedra,  a cornercorner with one O(12)Y4 tetrahedra,  a cornercorner with one O(22)Y4 tetrahedra, corners with two equivalent O(27)Y4 tetrahedra, corners with two equivalent O(6)Y4 tetrahedra,  a cornercorner with one O(4)Y3Re trigonal pyramid,  an edgeedge with one O(24)Y3Re tetrahedra,  an edgeedge with one O(1)Y4 tetrahedra,  an edgeedge with one O(13)Y4 tetrahedra, and  an edgeedge with one O(2)Y4 tetrahedra. In the twentieth O site, O(20) is bonded to one Y(11), one Y(12), one Y(9), and one Re(2) atom to form OY3Re tetrahedra that share  a cornercorner with one O(24)Y3Re tetrahedra,  a cornercorner with one O(1)Y4 tetrahedra,  a cornercorner with one O(13)Y4 tetrahedra,  a cornercorner with one O(3)Y4 tetrahedra, corners with two equivalent O(2)Y4 tetrahedra,  a cornercorner with one O(11)Y3MgRe trigonal bipyramid, corners with two equivalent O(25)Y3Re trigonal pyramids,  an edgeedge with one O(12)Y4 tetrahedra,  an edgeedge with one O(18)Y4Mg trigonal bipyramid, and  an edgeedge with one O(4)Y3Re trigonal pyramid. In the twenty-first O site, O(21) is bonded in a 2-coordinate geometry to one Y(10), one Y(4), and one Re(2) atom. In the twenty-second O site, O(22) is bonded to one Y(1), one Y(13), one Y(4), and one Y(7) atom to form OY4 tetrahedra that share  a cornercorner with one O(10)Y3Re tetrahedra,  a cornercorner with one O(19)Y4 tetrahedra,  a cornercorner with one O(27)Y4 tetrahedra,  a cornercorner with one O(8)Y4 tetrahedra, corners with two equivalent O(14)Y3Re tetrahedra, corners with two equivalent O(1)Y4 tetrahedra,  a cornercorner with one O(18)Y4Mg trigonal bipyramid,  a cornercorner with one O(25)Y3Re trigonal pyramid,  an edgeedge with one O(3)Y4 tetrahedra, and  an edgeedge with one O(7)Y4 tetrahedra. In the twenty-third O site, O(23) is bonded in a 5-coordinate geometry to one Mg(1), one Y(1), one Y(10), one Y(13), and one Y(14) atom. In the twenty-fourth O site, O(24) is bonded to one Y(10), one Y(14), one Y(5), and one Re(2) atom to form OY3Re tetrahedra that share  a cornercorner with one O(20)Y3Re tetrahedra,  a cornercorner with one O(2)Y4 tetrahedra,  a cornercorner with one O(6)Y4 tetrahedra,  a cornercorner with one O(7)Y4 tetrahedra, corners with two equivalent O(13)Y4 tetrahedra, corners with two equivalent O(4)Y3Re trigonal pyramids,  an edgeedge with one O(19)Y4 tetrahedra,  an edgeedge with one O(27)Y4 tetrahedra, and  an edgeedge with one O(25)Y3Re trigonal pyramid. In the twenty-fifth O site, O(25) is bonded to one Y(14), one Y(7), one Y(9), and one Re(2) atom to form distorted OY3Re trigonal pyramids that share  a cornercorner with one O(14)Y3Re tetrahedra,  a cornercorner with one O(12)Y4 tetrahedra,  a cornercorner with one O(22)Y4 tetrahedra, corners with two equivalent O(20)Y3Re tetrahedra, corners with two equivalent O(27)Y4 tetrahedra,  a cornercorner with one O(4)Y3Re trigonal pyramid,  an edgeedge with one O(24)Y3Re tetrahedra,  an edgeedge with one O(1)Y4 tetrahedra,  an edgeedge with one O(13)Y4 tetrahedra, and  an edgeedge with one O(7)Y4 tetrahedra. In the twenty-sixth O site, O(26) is bonded in a 2-coordinate geometry to one Y(11), one Y(8), and one Re(2) atom. In the twenty-seventh O site, O(27) is bonded to one Y(14), one Y(2), one Y(5), and one Y(7) atom to form OY4 tetrahedra that share  a cornercorner with one O(14)Y3Re tetrahedra,  a cornercorner with one O(12)Y4 tetrahedra,  a cornercorner with one O(22)Y4 tetrahedra, corners with two equivalent O(19)Y4 tetrahedra, corners with two equivalent O(2)Y4 tetrahedra, corners with two equivalent O(7)Y4 tetrahedra,  a cornercorner with one O(4)Y3Re trigonal pyramid, corners with two equivalent O(25)Y3Re trigonal pyramids,  an edgeedge with one O(24)Y3Re tetrahedra,  an edgeedge with one O(1)Y4 tetrahedra,  an edgeedge with one O(13)Y4 tetrahedra, and  an edgeedge with one O(6)Y4 tetrahedra. In the twenty-eighth O site, O(28) is bonded in a 4-coordinate geometry to one Y(11), one Y(2), one Y(8), and one Y(9) atom.