Cd4Bi2O7 crystallizes in the triclinic P1 space group. There are sixteen inequivalent Cd sites. In the first Cd site, Cd(1) is bonded in a 4-coordinate geometry to one O(1), one O(2), one O(20), and one O(5) atom. In the second Cd site, Cd(2) is bonded to one O(17), one O(2), one O(21), one O(3), and one O(4) atom to form CdO5 trigonal bipyramids that share  a cornercorner with one Bi(2)O6 octahedra,  a cornercorner with one Bi(4)O5 square pyramid,  a cornercorner with one Bi(5)O5 square pyramid,  a cornercorner with one Cd(7)O5 trigonal bipyramid,  a cornercorner with one Cd(6)O4 trigonal pyramid, and  an edgeedge with one Bi(1)O6 pentagonal pyramid. The corner-sharing octahedral tilt angles are 65°. In the third Cd site, Cd(3) is bonded in a distorted see-saw-like geometry to one O(11), one O(14), one O(3), and one O(5) atom. In the fourth Cd site, Cd(4) is bonded in a 4-coordinate geometry to one O(1), one O(11), one O(15), and one O(21) atom. In the fifth Cd site, Cd(5) is bonded in a 4-coordinate geometry to one O(12), one O(27), one O(4), and one O(7) atom. In the sixth Cd site, Cd(6) is bonded to one O(10), one O(18), one O(4), and one O(7) atom to form distorted CdO4 trigonal pyramids that share  a cornercorner with one Bi(1)O6 pentagonal pyramid,  a cornercorner with one Bi(3)O5 square pyramid,  a cornercorner with one Bi(4)O5 square pyramid,  a cornercorner with one Bi(5)O5 square pyramid,  a cornercorner with one Cd(2)O5 trigonal bipyramid,  a cornercorner with one Cd(7)O5 trigonal bipyramid, and  an edgeedge with one Cd(14)O4 trigonal pyramid. In the seventh Cd site, Cd(7) is bonded to one O(13), one O(14), one O(18), one O(3), and one O(8) atom to form distorted CdO5 trigonal bipyramids that share  a cornercorner with one Bi(2)O6 octahedra,  a cornercorner with one Cd(9)O5 square pyramid,  a cornercorner with one Cd(2)O5 trigonal bipyramid,  a cornercorner with one Cd(14)O4 trigonal pyramid,  a cornercorner with one Cd(6)O4 trigonal pyramid,  an edgeedge with one Cd(8)O6 octahedra, and  an edgeedge with one Bi(5)O5 square pyramid. The corner-sharing octahedral tilt angles are 24°. In the eighth Cd site, Cd(8) is bonded to one O(12), one O(13), one O(16), one O(27), one O(28), and one O(8) atom to form distorted CdO6 octahedra that share  a cornercorner with one Cd(9)O5 square pyramid,  a cornercorner with one Bi(4)O5 square pyramid,  a cornercorner with one Bi(5)O5 square pyramid,  an edgeedge with one Bi(2)O6 octahedra, and  an edgeedge with one Cd(7)O5 trigonal bipyramid. In the ninth Cd site, Cd(9) is bonded to one O(13), one O(20), one O(22), one O(6), and one O(9) atom to form distorted CdO5 square pyramids that share  a cornercorner with one Cd(8)O6 octahedra,  a cornercorner with one Bi(3)O5 square pyramid,  a cornercorner with one Cd(7)O5 trigonal bipyramid,  an edgeedge with one Bi(1)O6 pentagonal pyramid, and  an edgeedge with one Bi(5)O5 square pyramid. The corner-sharing octahedral tilt angles are 25°. In the tenth Cd site, Cd(10) is bonded in a distorted rectangular see-saw-like geometry to one O(12), one O(16), one O(19), and one O(5) atom. In the eleventh Cd site, Cd(11) is bonded in a distorted see-saw-like geometry to one O(12), one O(13), one O(17), and one O(9) atom. In the twelfth Cd site, Cd(12) is bonded in a 4-coordinate geometry to one O(15), one O(16), one O(28), and one O(6) atom. In the thirteenth Cd site, Cd(13) is bonded in a see-saw-like geometry to one O(1), one O(10), one O(17), and one O(3) atom. In the fourteenth Cd site, Cd(14) is bonded to one O(15), one O(18), one O(23), and one O(7) atom to form distorted CdO4 trigonal pyramids that share  a cornercorner with one Bi(2)O6 octahedra,  a cornercorner with one Bi(4)O5 square pyramid,  a cornercorner with one Bi(5)O5 square pyramid,  a cornercorner with one Cd(7)O5 trigonal bipyramid, and  an edgeedge with one Cd(6)O4 trigonal pyramid. The corner-sharing octahedral tilt angles are 72°. In the fifteenth Cd site, Cd(15) is bonded in a 5-coordinate geometry to one O(11), one O(14), one O(22), one O(23), and one O(26) atom. In the sixteenth Cd site, Cd(16) is bonded in a distorted trigonal non-coplanar geometry to one O(22), one O(27), and one O(28) atom. There are eight inequivalent Bi sites. In the first Bi site, Bi(1) is bonded to one O(2), one O(24), one O(4), one O(5), one O(6), and one O(9) atom to form distorted BiO6 pentagonal pyramids that share  a cornercorner with one Bi(3)O5 square pyramid,  a cornercorner with one Cd(6)O4 trigonal pyramid,  an edgeedge with one Cd(9)O5 square pyramid,  an edgeedge with one Bi(5)O5 square pyramid, and  an edgeedge with one Cd(2)O5 trigonal bipyramid. In the second Bi site, Bi(2) is bonded to one O(15), one O(21), one O(25), one O(26), one O(28), and one O(8) atom to form BiO6 octahedra that share  a cornercorner with one Bi(3)O5 square pyramid,  a cornercorner with one Bi(4)O5 square pyramid,  a cornercorner with one Cd(2)O5 trigonal bipyramid,  a cornercorner with one Cd(7)O5 trigonal bipyramid,  a cornercorner with one Cd(14)O4 trigonal pyramid, and  an edgeedge with one Cd(8)O6 octahedra. In the third Bi site, Bi(3) is bonded to one O(1), one O(10), one O(19), one O(25), and one O(9) atom to form distorted BiO5 square pyramids that share  a cornercorner with one Bi(2)O6 octahedra,  a cornercorner with one Bi(1)O6 pentagonal pyramid,  a cornercorner with one Cd(9)O5 square pyramid, and  a cornercorner with one Cd(6)O4 trigonal pyramid. The corner-sharing octahedral tilt angles are 54°. In the fourth Bi site, Bi(4) is bonded to one O(11), one O(12), one O(17), one O(26), and one O(7) atom to form distorted BiO5 square pyramids that share  a cornercorner with one Cd(8)O6 octahedra,  a cornercorner with one Bi(2)O6 octahedra,  a cornercorner with one Cd(2)O5 trigonal bipyramid,  a cornercorner with one Cd(14)O4 trigonal pyramid, and  a cornercorner with one Cd(6)O4 trigonal pyramid. The corner-sharing octahedral tilt angles range from 21-62°. In the fifth Bi site, Bi(5) is bonded to one O(13), one O(18), one O(2), one O(20), and one O(24) atom to form distorted BiO5 square pyramids that share  a cornercorner with one Cd(8)O6 octahedra,  a cornercorner with one Cd(2)O5 trigonal bipyramid,  a cornercorner with one Cd(14)O4 trigonal pyramid,  a cornercorner with one Cd(6)O4 trigonal pyramid,  an edgeedge with one Bi(1)O6 pentagonal pyramid,  an edgeedge with one Cd(9)O5 square pyramid, and  an edgeedge with one Cd(7)O5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 74°. In the sixth Bi site, Bi(6) is bonded in a 6-coordinate geometry to one O(10), one O(14), one O(18), one O(20), one O(24), and one O(25) atom. In the seventh Bi site, Bi(7) is bonded in a distorted see-saw-like geometry to one O(16), one O(19), one O(22), and one O(23) atom. In the eighth Bi site, Bi(8) is bonded in a 4-coordinate geometry to one O(23), one O(24), one O(26), and one O(27) atom. There are twenty-eight inequivalent O sites. In the first O site, O(1) is bonded to one Cd(1), one Cd(13), one Cd(4), and one Bi(3) atom to form OCd3Bi tetrahedra that share  a cornercorner with one O(2)Cd2Bi2 tetrahedra,  a cornercorner with one O(20)Cd2Bi2 tetrahedra,  a cornercorner with one O(11)Cd3Bi tetrahedra,  a cornercorner with one O(15)Cd3Bi tetrahedra,  a cornercorner with one O(3)Cd4 tetrahedra,  a cornercorner with one O(9)Cd2Bi2 trigonal pyramid,  a cornercorner with one O(17)Cd3Bi trigonal pyramid,  a cornercorner with one O(5)Cd3Bi trigonal pyramid, and  an edgeedge with one O(10)Cd2Bi2 tetrahedra. In the second O site, O(2) is bonded to one Cd(1), one Cd(2), one Bi(1), and one Bi(5) atom to form OCd2Bi2 tetrahedra that share  a cornercorner with one O(1)Cd3Bi tetrahedra,  a cornercorner with one O(3)Cd4 tetrahedra,  a cornercorner with one O(18)Cd3Bi2 trigonal bipyramid,  a cornercorner with one O(13)Cd4Bi trigonal bipyramid,  a cornercorner with one O(9)Cd2Bi2 trigonal pyramid,  a cornercorner with one O(17)Cd3Bi trigonal pyramid,  an edgeedge with one O(24)Bi4 tetrahedra,  an edgeedge with one O(20)Cd2Bi2 tetrahedra,  an edgeedge with one O(4)Cd3Bi tetrahedra, and  an edgeedge with one O(5)Cd3Bi trigonal pyramid. In the third O site, O(3) is bonded to one Cd(13), one Cd(2), one Cd(3), and one Cd(7) atom to form OCd4 tetrahedra that share  a cornercorner with one O(10)Cd2Bi2 tetrahedra,  a cornercorner with one O(2)Cd2Bi2 tetrahedra,  a cornercorner with one O(1)Cd3Bi tetrahedra,  a cornercorner with one O(11)Cd3Bi tetrahedra,  a cornercorner with one O(4)Cd3Bi tetrahedra,  a cornercorner with one O(18)Cd3Bi2 trigonal bipyramid,  a cornercorner with one O(13)Cd4Bi trigonal bipyramid,  a cornercorner with one O(5)Cd3Bi trigonal pyramid,  an edgeedge with one O(14)Cd3Bi trigonal pyramid, and  an edgeedge with one O(17)Cd3Bi trigonal pyramid. In the fourth O site, O(4) is bonded to one Cd(2), one Cd(5), one Cd(6), and one Bi(1) atom to form OCd3Bi tetrahedra that share  a cornercorner with one O(24)Bi4 tetrahedra,  a cornercorner with one O(10)Cd2Bi2 tetrahedra,  a cornercorner with one O(3)Cd4 tetrahedra,  a cornercorner with one O(18)Cd3Bi2 trigonal bipyramid,  a cornercorner with one O(12)Cd4Bi trigonal bipyramid,  a cornercorner with one O(9)Cd2Bi2 trigonal pyramid,  a cornercorner with one O(17)Cd3Bi trigonal pyramid,  a cornercorner with one O(5)Cd3Bi trigonal pyramid, and  an edgeedge with one O(2)Cd2Bi2 tetrahedra. In the fifth O site, O(5) is bonded to one Cd(1), one Cd(10), one Cd(3), and one Bi(1) atom to form OCd3Bi trigonal pyramids that share  a cornercorner with one O(24)Bi4 tetrahedra,  a cornercorner with one O(20)Cd2Bi2 tetrahedra,  a cornercorner with one O(1)Cd3Bi tetrahedra,  a cornercorner with one O(11)Cd3Bi tetrahedra,  a cornercorner with one O(4)Cd3Bi tetrahedra,  a cornercorner with one O(3)Cd4 tetrahedra,  a cornercorner with one O(12)Cd4Bi trigonal bipyramid,  a cornercorner with one O(9)Cd2Bi2 trigonal pyramid,  a cornercorner with one O(14)Cd3Bi trigonal pyramid,  a cornercorner with one O(16)Cd3Bi trigonal pyramid, and  an edgeedge with one O(2)Cd2Bi2 tetrahedra. In the sixth O site, O(6) is bonded in a distorted trigonal non-coplanar geometry to one Cd(12), one Cd(9), and one Bi(1) atom. In the seventh O site, O(7) is bonded in a 4-coordinate geometry to one Cd(14), one Cd(5), one Cd(6), and one Bi(4) atom. In the eighth O site, O(8) is bonded in a 3-coordinate geometry to one Cd(7), one Cd(8), and one Bi(2) atom. In the ninth O site, O(9) is bonded to one Cd(11), one Cd(9), one Bi(1), and one Bi(3) atom to form distorted OCd2Bi2 trigonal pyramids that share  a cornercorner with one O(24)Bi4 tetrahedra,  a cornercorner with one O(10)Cd2Bi2 tetrahedra,  a cornercorner with one O(2)Cd2Bi2 tetrahedra,  a cornercorner with one O(20)Cd2Bi2 tetrahedra,  a cornercorner with one O(1)Cd3Bi tetrahedra,  a cornercorner with one O(22)Cd3Bi tetrahedra,  a cornercorner with one O(4)Cd3Bi tetrahedra,  a cornercorner with one O(12)Cd4Bi trigonal bipyramid,  a cornercorner with one O(17)Cd3Bi trigonal pyramid,  a cornercorner with one O(5)Cd3Bi trigonal pyramid, and  an edgeedge with one O(13)Cd4Bi trigonal bipyramid. In the tenth O site, O(10) is bonded to one Cd(13), one Cd(6), one Bi(3), and one Bi(6) atom to form distorted OCd2Bi2 tetrahedra that share  a cornercorner with one O(24)Bi4 tetrahedra,  a cornercorner with one O(20)Cd2Bi2 tetrahedra,  a cornercorner with one O(4)Cd3Bi tetrahedra,  a cornercorner with one O(3)Cd4 tetrahedra,  a cornercorner with one O(9)Cd2Bi2 trigonal pyramid,  a cornercorner with one O(14)Cd3Bi trigonal pyramid,  a cornercorner with one O(17)Cd3Bi trigonal pyramid,  an edgeedge with one O(1)Cd3Bi tetrahedra, and  an edgeedge with one O(18)Cd3Bi2 trigonal bipyramid. In the eleventh O site, O(11) is bonded to one Cd(15), one Cd(3), one Cd(4), and one Bi(4) atom to form distorted OCd3Bi tetrahedra that share  a cornercorner with one O(1)Cd3Bi tetrahedra,  a cornercorner with one O(15)Cd3Bi tetrahedra,  a cornercorner with one O(22)Cd3Bi tetrahedra,  a cornercorner with one O(3)Cd4 tetrahedra,  a cornercorner with one O(12)Cd4Bi trigonal bipyramid,  a cornercorner with one O(23)Cd2Bi2 trigonal pyramid,  a cornercorner with one O(17)Cd3Bi trigonal pyramid,  a cornercorner with one O(5)Cd3Bi trigonal pyramid,  an edgeedge with one O(26)CdBi3 tetrahedra, and  an edgeedge with one O(14)Cd3Bi trigonal pyramid. In the twelfth O site, O(12) is bonded to one Cd(10), one Cd(11), one Cd(5), one Cd(8), and one Bi(4) atom to form distorted OCd4Bi trigonal bipyramids that share  a cornercorner with one O(11)Cd3Bi tetrahedra,  a cornercorner with one O(4)Cd3Bi tetrahedra,  a cornercorner with one O(26)CdBi3 tetrahedra,  a cornercorner with one O(9)Cd2Bi2 trigonal pyramid,  a cornercorner with one O(5)Cd3Bi trigonal pyramid,  an edgeedge with one O(13)Cd4Bi trigonal bipyramid,  an edgeedge with one O(16)Cd3Bi trigonal pyramid, and  an edgeedge with one O(17)Cd3Bi trigonal pyramid. In the thirteenth O site, O(13) is bonded to one Cd(11), one Cd(7), one Cd(8), one Cd(9), and one Bi(5) atom to form OCd4Bi trigonal bipyramids that share  a cornercorner with one O(24)Bi4 tetrahedra,  a cornercorner with one O(2)Cd2Bi2 tetrahedra,  a cornercorner with one O(22)Cd3Bi tetrahedra,  a cornercorner with one O(3)Cd4 tetrahedra,  a cornercorner with one O(14)Cd3Bi trigonal pyramid,  a cornercorner with one O(16)Cd3Bi trigonal pyramid,  a cornercorner with one O(17)Cd3Bi trigonal pyramid,  an edgeedge with one O(20)Cd2Bi2 tetrahedra,  an edgeedge with one O(18)Cd3Bi2 trigonal bipyramid,  an edgeedge with one O(12)Cd4Bi trigonal bipyramid, and  an edgeedge with one O(9)Cd2Bi2 trigonal pyramid. In the fourteenth O site, O(14) is bonded to one Cd(15), one Cd(3), one Cd(7), and one Bi(6) atom to form distorted OCd3Bi trigonal pyramids that share  a cornercorner with one O(24)Bi4 tetrahedra,  a cornercorner with one O(10)Cd2Bi2 tetrahedra,  a cornercorner with one O(20)Cd2Bi2 tetrahedra,  a cornercorner with one O(22)Cd3Bi tetrahedra,  a cornercorner with one O(26)CdBi3 tetrahedra,  a cornercorner with one O(13)Cd4Bi trigonal bipyramid,  a cornercorner with one O(23)Cd2Bi2 trigonal pyramid,  a cornercorner with one O(5)Cd3Bi trigonal pyramid,  an edgeedge with one O(11)Cd3Bi tetrahedra,  an edgeedge with one O(3)Cd4 tetrahedra, and  an edgeedge with one O(18)Cd3Bi2 trigonal bipyramid. In the fifteenth O site, O(15) is bonded to one Cd(12), one Cd(14), one Cd(4), and one Bi(2) atom to form OCd3Bi tetrahedra that share  a cornercorner with one O(1)Cd3Bi tetrahedra,  a cornercorner with one O(11)Cd3Bi tetrahedra,  a cornercorner with one O(26)CdBi3 tetrahedra,  a cornercorner with one O(18)Cd3Bi2 trigonal bipyramid,  a cornercorner with one O(23)Cd2Bi2 trigonal pyramid, and  a cornercorner with one O(16)Cd3Bi trigonal pyramid. In the sixteenth O site, O(16) is bonded to one Cd(10), one Cd(12), one Cd(8), and one Bi(7) atom to form distorted OCd3Bi trigonal pyramids that share  a cornercorner with one O(15)Cd3Bi tetrahedra,  a cornercorner with one O(22)Cd3Bi tetrahedra,  a cornercorner with one O(13)Cd4Bi trigonal bipyramid,  a cornercorner with one O(23)Cd2Bi2 trigonal pyramid,  a cornercorner with one O(5)Cd3Bi trigonal pyramid, and  an edgeedge with one O(12)Cd4Bi trigonal bipyramid. In the seventeenth O site, O(17) is bonded to one Cd(11), one Cd(13), one Cd(2), and one Bi(4) atom to form distorted OCd3Bi trigonal pyramids that share  a cornercorner with one O(10)Cd2Bi2 tetrahedra,  a cornercorner with one O(2)Cd2Bi2 tetrahedra,  a cornercorner with one O(1)Cd3Bi tetrahedra,  a cornercorner with one O(11)Cd3Bi tetrahedra,  a cornercorner with one O(4)Cd3Bi tetrahedra,  a cornercorner with one O(26)CdBi3 tetrahedra,  a cornercorner with one O(13)Cd4Bi trigonal bipyramid,  a cornercorner with one O(9)Cd2Bi2 trigonal pyramid,  an edgeedge with one O(3)Cd4 tetrahedra, and  an edgeedge with one O(12)Cd4Bi trigonal bipyramid. In the eighteenth O site, O(18) is bonded to one Cd(14), one Cd(6), one Cd(7), one Bi(5), and one Bi(6) atom to form distorted OCd3Bi2 trigonal bipyramids that share  a cornercorner with one O(2)Cd2Bi2 tetrahedra,  a cornercorner with one O(15)Cd3Bi tetrahedra,  a cornercorner with one O(4)Cd3Bi tetrahedra,  a cornercorner with one O(3)Cd4 tetrahedra,  a cornercorner with one O(23)Cd2Bi2 trigonal pyramid,  an edgeedge with one O(24)Bi4 tetrahedra,  an edgeedge with one O(10)Cd2Bi2 tetrahedra,  an edgeedge with one O(20)Cd2Bi2 tetrahedra,  an edgeedge with one O(13)Cd4Bi trigonal bipyramid, and  an edgeedge with one O(14)Cd3Bi trigonal pyramid. In the nineteenth O site, O(19) is bonded in a trigonal planar geometry to one Cd(10), one Bi(3), and one Bi(7) atom. In the twentieth O site, O(20) is bonded to one Cd(1), one Cd(9), one Bi(5), and one Bi(6) atom to form distorted OCd2Bi2 tetrahedra that share  a cornercorner with one O(10)Cd2Bi2 tetrahedra,  a cornercorner with one O(1)Cd3Bi tetrahedra,  a cornercorner with one O(22)Cd3Bi tetrahedra,  a cornercorner with one O(9)Cd2Bi2 trigonal pyramid,  a cornercorner with one O(14)Cd3Bi trigonal pyramid,  a cornercorner with one O(5)Cd3Bi trigonal pyramid,  an edgeedge with one O(24)Bi4 tetrahedra,  an edgeedge with one O(2)Cd2Bi2 tetrahedra,  an edgeedge with one O(18)Cd3Bi2 trigonal bipyramid, and  an edgeedge with one O(13)Cd4Bi trigonal bipyramid. In the twenty-first O site, O(21) is bonded in a 3-coordinate geometry to one Cd(2), one Cd(4), and one Bi(2) atom. In the twenty-second O site, O(22) is bonded to one Cd(15), one Cd(16), one Cd(9), and one Bi(7) atom to form OCd3Bi tetrahedra that share  a cornercorner with one O(20)Cd2Bi2 tetrahedra,  a cornercorner with one O(11)Cd3Bi tetrahedra,  a cornercorner with one O(26)CdBi3 tetrahedra,  a cornercorner with one O(13)Cd4Bi trigonal bipyramid,  a cornercorner with one O(9)Cd2Bi2 trigonal pyramid,  a cornercorner with one O(14)Cd3Bi trigonal pyramid,  a cornercorner with one O(16)Cd3Bi trigonal pyramid, and  an edgeedge with one O(23)Cd2Bi2 trigonal pyramid. In the twenty-third O site, O(23) is bonded to one Cd(14), one Cd(15), one Bi(7), and one Bi(8) atom to form distorted OCd2Bi2 trigonal pyramids that share  a cornercorner with one O(24)Bi4 tetrahedra,  a cornercorner with one O(11)Cd3Bi tetrahedra,  a cornercorner with one O(15)Cd3Bi tetrahedra,  a cornercorner with one O(18)Cd3Bi2 trigonal bipyramid,  a cornercorner with one O(14)Cd3Bi trigonal pyramid,  a cornercorner with one O(16)Cd3Bi trigonal pyramid,  an edgeedge with one O(22)Cd3Bi tetrahedra, and  an edgeedge with one O(26)CdBi3 tetrahedra. In the twenty-fourth O site, O(24) is bonded to one Bi(1), one Bi(5), one Bi(6), and one Bi(8) atom to form distorted OBi4 tetrahedra that share  a cornercorner with one O(10)Cd2Bi2 tetrahedra,  a cornercorner with one O(4)Cd3Bi tetrahedra,  a cornercorner with one O(26)CdBi3 tetrahedra,  a cornercorner with one O(13)Cd4Bi trigonal bipyramid,  a cornercorner with one O(23)Cd2Bi2 trigonal pyramid,  a cornercorner with one O(9)Cd2Bi2 trigonal pyramid,  a cornercorner with one O(14)Cd3Bi trigonal pyramid,  a cornercorner with one O(5)Cd3Bi trigonal pyramid,  an edgeedge with one O(2)Cd2Bi2 tetrahedra,  an edgeedge with one O(20)Cd2Bi2 tetrahedra, and  an edgeedge with one O(18)Cd3Bi2 trigonal bipyramid. In the twenty-fifth O site, O(25) is bonded in a trigonal planar geometry to one Bi(2), one Bi(3), and one Bi(6) atom. In the twenty-sixth O site, O(26) is bonded to one Cd(15), one Bi(2), one Bi(4), and one Bi(8) atom to form OCdBi3 tetrahedra that share  a cornercorner with one O(24)Bi4 tetrahedra,  a cornercorner with one O(15)Cd3Bi tetrahedra,  a cornercorner with one O(22)Cd3Bi tetrahedra,  a cornercorner with one O(12)Cd4Bi trigonal bipyramid,  a cornercorner with one O(14)Cd3Bi trigonal pyramid,  a cornercorner with one O(17)Cd3Bi trigonal pyramid,  an edgeedge with one O(11)Cd3Bi tetrahedra, and  an edgeedge with one O(23)Cd2Bi2 trigonal pyramid. In the twenty-seventh O site, O(27) is bonded in a rectangular see-saw-like geometry to one Cd(16), one Cd(5), one Cd(8), and one Bi(8) atom. In the twenty-eighth O site, O(28) is bonded in a rectangular see-saw-like geometry to one Cd(12), one Cd(16), one Cd(8), and one Bi(2) atom.
Cd4Bi2O7 crystallizes in the triclinic P1 space group. There are sixteen inequivalent Cd sites. In the first Cd site, Cd(1) is bonded in a 4-coordinate geometry to one O(1), one O(2), one O(20), and one O(5) atom. The Cd(1)-O(1) bond length is 2.24 Å. The Cd(1)-O(2) bond length is 2.30 Å. The Cd(1)-O(20) bond length is 2.25 Å. The Cd(1)-O(5) bond length is 2.32 Å. In the second Cd site, Cd(2) is bonded to one O(17), one O(2), one O(21), one O(3), and one O(4) atom to form CdO5 trigonal bipyramids that share  a cornercorner with one Bi(2)O6 octahedra,  a cornercorner with one Bi(4)O5 square pyramid,  a cornercorner with one Bi(5)O5 square pyramid,  a cornercorner with one Cd(7)O5 trigonal bipyramid,  a cornercorner with one Cd(6)O4 trigonal pyramid, and  an edgeedge with one Bi(1)O6 pentagonal pyramid. The corner-sharing octahedral tilt angles are 65°. The Cd(2)-O(17) bond length is 2.37 Å. The Cd(2)-O(2) bond length is 2.33 Å. The Cd(2)-O(21) bond length is 2.28 Å. The Cd(2)-O(3) bond length is 2.35 Å. The Cd(2)-O(4) bond length is 2.32 Å. In the third Cd site, Cd(3) is bonded in a distorted see-saw-like geometry to one O(11), one O(14), one O(3), and one O(5) atom. The Cd(3)-O(11) bond length is 2.19 Å. The Cd(3)-O(14) bond length is 2.29 Å. The Cd(3)-O(3) bond length is 2.22 Å. The Cd(3)-O(5) bond length is 2.31 Å. In the fourth Cd site, Cd(4) is bonded in a 4-coordinate geometry to one O(1), one O(11), one O(15), and one O(21) atom. The Cd(4)-O(1) bond length is 2.31 Å. The Cd(4)-O(11) bond length is 2.26 Å. The Cd(4)-O(15) bond length is 2.22 Å. The Cd(4)-O(21) bond length is 2.53 Å. In the fifth Cd site, Cd(5) is bonded in a 4-coordinate geometry to one O(12), one O(27), one O(4), and one O(7) atom. The Cd(5)-O(12) bond length is 2.28 Å. The Cd(5)-O(27) bond length is 2.47 Å. The Cd(5)-O(4) bond length is 2.20 Å. The Cd(5)-O(7) bond length is 2.71 Å. In the sixth Cd site, Cd(6) is bonded to one O(10), one O(18), one O(4), and one O(7) atom to form distorted CdO4 trigonal pyramids that share  a cornercorner with one Bi(1)O6 pentagonal pyramid,  a cornercorner with one Bi(3)O5 square pyramid,  a cornercorner with one Bi(4)O5 square pyramid,  a cornercorner with one Bi(5)O5 square pyramid,  a cornercorner with one Cd(2)O5 trigonal bipyramid,  a cornercorner with one Cd(7)O5 trigonal bipyramid, and  an edgeedge with one Cd(14)O4 trigonal pyramid. The Cd(6)-O(10) bond length is 2.16 Å. The Cd(6)-O(18) bond length is 2.38 Å. The Cd(6)-O(4) bond length is 2.16 Å. The Cd(6)-O(7) bond length is 2.21 Å. In the seventh Cd site, Cd(7) is bonded to one O(13), one O(14), one O(18), one O(3), and one O(8) atom to form distorted CdO5 trigonal bipyramids that share  a cornercorner with one Bi(2)O6 octahedra,  a cornercorner with one Cd(9)O5 square pyramid,  a cornercorner with one Cd(2)O5 trigonal bipyramid,  a cornercorner with one Cd(14)O4 trigonal pyramid,  a cornercorner with one Cd(6)O4 trigonal pyramid,  an edgeedge with one Cd(8)O6 octahedra, and  an edgeedge with one Bi(5)O5 square pyramid. The corner-sharing octahedral tilt angles are 24°. The Cd(7)-O(13) bond length is 2.38 Å. The Cd(7)-O(14) bond length is 2.52 Å. The Cd(7)-O(18) bond length is 2.28 Å. The Cd(7)-O(3) bond length is 2.25 Å. The Cd(7)-O(8) bond length is 2.33 Å. In the eighth Cd site, Cd(8) is bonded to one O(12), one O(13), one O(16), one O(27), one O(28), and one O(8) atom to form distorted CdO6 octahedra that share  a cornercorner with one Cd(9)O5 square pyramid,  a cornercorner with one Bi(4)O5 square pyramid,  a cornercorner with one Bi(5)O5 square pyramid,  an edgeedge with one Bi(2)O6 octahedra, and  an edgeedge with one Cd(7)O5 trigonal bipyramid. The Cd(8)-O(12) bond length is 2.38 Å. The Cd(8)-O(13) bond length is 2.28 Å. The Cd(8)-O(16) bond length is 2.38 Å. The Cd(8)-O(27) bond length is 2.38 Å. The Cd(8)-O(28) bond length is 2.54 Å. The Cd(8)-O(8) bond length is 2.26 Å. In the ninth Cd site, Cd(9) is bonded to one O(13), one O(20), one O(22), one O(6), and one O(9) atom to form distorted CdO5 square pyramids that share  a cornercorner with one Cd(8)O6 octahedra,  a cornercorner with one Bi(3)O5 square pyramid,  a cornercorner with one Cd(7)O5 trigonal bipyramid,  an edgeedge with one Bi(1)O6 pentagonal pyramid, and  an edgeedge with one Bi(5)O5 square pyramid. The corner-sharing octahedral tilt angles are 25°. The Cd(9)-O(13) bond length is 2.45 Å. The Cd(9)-O(20) bond length is 2.32 Å. The Cd(9)-O(22) bond length is 2.30 Å. The Cd(9)-O(6) bond length is 2.21 Å. The Cd(9)-O(9) bond length is 2.33 Å. In the tenth Cd site, Cd(10) is bonded in a distorted rectangular see-saw-like geometry to one O(12), one O(16), one O(19), and one O(5) atom. The Cd(10)-O(12) bond length is 2.33 Å. The Cd(10)-O(16) bond length is 2.37 Å. The Cd(10)-O(19) bond length is 2.25 Å. The Cd(10)-O(5) bond length is 2.22 Å. In the eleventh Cd site, Cd(11) is bonded in a distorted see-saw-like geometry to one O(12), one O(13), one O(17), and one O(9) atom. The Cd(11)-O(12) bond length is 2.36 Å. The Cd(11)-O(13) bond length is 2.28 Å. The Cd(11)-O(17) bond length is 2.22 Å. The Cd(11)-O(9) bond length is 2.19 Å. In the twelfth Cd site, Cd(12) is bonded in a 4-coordinate geometry to one O(15), one O(16), one O(28), and one O(6) atom. The Cd(12)-O(15) bond length is 2.20 Å. The Cd(12)-O(16) bond length is 2.34 Å. The Cd(12)-O(28) bond length is 2.35 Å. The Cd(12)-O(6) bond length is 2.09 Å. In the thirteenth Cd site, Cd(13) is bonded in a see-saw-like geometry to one O(1), one O(10), one O(17), and one O(3) atom. The Cd(13)-O(1) bond length is 2.41 Å. The Cd(13)-O(10) bond length is 2.18 Å. The Cd(13)-O(17) bond length is 2.28 Å. The Cd(13)-O(3) bond length is 2.15 Å. In the fourteenth Cd site, Cd(14) is bonded to one O(15), one O(18), one O(23), and one O(7) atom to form distorted CdO4 trigonal pyramids that share  a cornercorner with one Bi(2)O6 octahedra,  a cornercorner with one Bi(4)O5 square pyramid,  a cornercorner with one Bi(5)O5 square pyramid,  a cornercorner with one Cd(7)O5 trigonal bipyramid, and  an edgeedge with one Cd(6)O4 trigonal pyramid. The corner-sharing octahedral tilt angles are 72°. The Cd(14)-O(15) bond length is 2.20 Å. The Cd(14)-O(18) bond length is 2.30 Å. The Cd(14)-O(23) bond length is 2.22 Å. The Cd(14)-O(7) bond length is 2.32 Å. In the fifteenth Cd site, Cd(15) is bonded in a 5-coordinate geometry to one O(11), one O(14), one O(22), one O(23), and one O(26) atom. The Cd(15)-O(11) bond length is 2.33 Å. The Cd(15)-O(14) bond length is 2.30 Å. The Cd(15)-O(22) bond length is 2.29 Å. The Cd(15)-O(23) bond length is 2.53 Å. The Cd(15)-O(26) bond length is 2.31 Å. In the sixteenth Cd site, Cd(16) is bonded in a distorted trigonal non-coplanar geometry to one O(22), one O(27), and one O(28) atom. The Cd(16)-O(22) bond length is 2.34 Å. The Cd(16)-O(27) bond length is 2.39 Å. The Cd(16)-O(28) bond length is 2.23 Å. There are eight inequivalent Bi sites. In the first Bi site, Bi(1) is bonded to one O(2), one O(24), one O(4), one O(5), one O(6), and one O(9) atom to form distorted BiO6 pentagonal pyramids that share  a cornercorner with one Bi(3)O5 square pyramid,  a cornercorner with one Cd(6)O4 trigonal pyramid,  an edgeedge with one Cd(9)O5 square pyramid,  an edgeedge with one Bi(5)O5 square pyramid, and  an edgeedge with one Cd(2)O5 trigonal bipyramid. The Bi(1)-O(2) bond length is 2.42 Å. The Bi(1)-O(24) bond length is 2.56 Å. The Bi(1)-O(4) bond length is 2.36 Å. The Bi(1)-O(5) bond length is 2.25 Å. The Bi(1)-O(6) bond length is 2.46 Å. The Bi(1)-O(9) bond length is 2.63 Å. In the second Bi site, Bi(2) is bonded to one O(15), one O(21), one O(25), one O(26), one O(28), and one O(8) atom to form BiO6 octahedra that share  a cornercorner with one Bi(3)O5 square pyramid,  a cornercorner with one Bi(4)O5 square pyramid,  a cornercorner with one Cd(2)O5 trigonal bipyramid,  a cornercorner with one Cd(7)O5 trigonal bipyramid,  a cornercorner with one Cd(14)O4 trigonal pyramid, and  an edgeedge with one Cd(8)O6 octahedra. The Bi(2)-O(15) bond length is 2.21 Å. The Bi(2)-O(21) bond length is 2.15 Å. The Bi(2)-O(25) bond length is 2.11 Å. The Bi(2)-O(26) bond length is 2.19 Å. The Bi(2)-O(28) bond length is 2.24 Å. The Bi(2)-O(8) bond length is 2.14 Å. In the third Bi site, Bi(3) is bonded to one O(1), one O(10), one O(19), one O(25), and one O(9) atom to form distorted BiO5 square pyramids that share  a cornercorner with one Bi(2)O6 octahedra,  a cornercorner with one Bi(1)O6 pentagonal pyramid,  a cornercorner with one Cd(9)O5 square pyramid, and  a cornercorner with one Cd(6)O4 trigonal pyramid. The corner-sharing octahedral tilt angles are 54°. The Bi(3)-O(1) bond length is 2.21 Å. The Bi(3)-O(10) bond length is 2.42 Å. The Bi(3)-O(19) bond length is 2.29 Å. The Bi(3)-O(25) bond length is 2.37 Å. The Bi(3)-O(9) bond length is 2.26 Å. In the fourth Bi site, Bi(4) is bonded to one O(11), one O(12), one O(17), one O(26), and one O(7) atom to form distorted BiO5 square pyramids that share  a cornercorner with one Cd(8)O6 octahedra,  a cornercorner with one Bi(2)O6 octahedra,  a cornercorner with one Cd(2)O5 trigonal bipyramid,  a cornercorner with one Cd(14)O4 trigonal pyramid, and  a cornercorner with one Cd(6)O4 trigonal pyramid. The corner-sharing octahedral tilt angles range from 21-62°. The Bi(4)-O(11) bond length is 2.39 Å. The Bi(4)-O(12) bond length is 2.40 Å. The Bi(4)-O(17) bond length is 2.34 Å. The Bi(4)-O(26) bond length is 2.40 Å. The Bi(4)-O(7) bond length is 2.13 Å. In the fifth Bi site, Bi(5) is bonded to one O(13), one O(18), one O(2), one O(20), and one O(24) atom to form distorted BiO5 square pyramids that share  a cornercorner with one Cd(8)O6 octahedra,  a cornercorner with one Cd(2)O5 trigonal bipyramid,  a cornercorner with one Cd(14)O4 trigonal pyramid,  a cornercorner with one Cd(6)O4 trigonal pyramid,  an edgeedge with one Bi(1)O6 pentagonal pyramid,  an edgeedge with one Cd(9)O5 square pyramid, and  an edgeedge with one Cd(7)O5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 74°. The Bi(5)-O(13) bond length is 2.44 Å. The Bi(5)-O(18) bond length is 2.56 Å. The Bi(5)-O(2) bond length is 2.26 Å. The Bi(5)-O(20) bond length is 2.17 Å. The Bi(5)-O(24) bond length is 2.22 Å. In the sixth Bi site, Bi(6) is bonded in a 6-coordinate geometry to one O(10), one O(14), one O(18), one O(20), one O(24), and one O(25) atom. The Bi(6)-O(10) bond length is 2.27 Å. The Bi(6)-O(14) bond length is 2.18 Å. The Bi(6)-O(18) bond length is 2.46 Å. The Bi(6)-O(20) bond length is 2.56 Å. The Bi(6)-O(24) bond length is 2.74 Å. The Bi(6)-O(25) bond length is 2.38 Å. In the seventh Bi site, Bi(7) is bonded in a distorted see-saw-like geometry to one O(16), one O(19), one O(22), and one O(23) atom. The Bi(7)-O(16) bond length is 2.13 Å. The Bi(7)-O(19) bond length is 2.18 Å. The Bi(7)-O(22) bond length is 2.17 Å. The Bi(7)-O(23) bond length is 2.41 Å. In the eighth Bi site, Bi(8) is bonded in a 4-coordinate geometry to one O(23), one O(24), one O(26), and one O(27) atom. The Bi(8)-O(23) bond length is 2.16 Å. The Bi(8)-O(24) bond length is 2.29 Å. The Bi(8)-O(26) bond length is 2.49 Å. The Bi(8)-O(27) bond length is 2.15 Å. There are twenty-eight inequivalent O sites. In the first O site, O(1) is bonded to one Cd(1), one Cd(13), one Cd(4), and one Bi(3) atom to form OCd3Bi tetrahedra that share  a cornercorner with one O(2)Cd2Bi2 tetrahedra,  a cornercorner with one O(20)Cd2Bi2 tetrahedra,  a cornercorner with one O(11)Cd3Bi tetrahedra,  a cornercorner with one O(15)Cd3Bi tetrahedra,  a cornercorner with one O(3)Cd4 tetrahedra,  a cornercorner with one O(9)Cd2Bi2 trigonal pyramid,  a cornercorner with one O(17)Cd3Bi trigonal pyramid,  a cornercorner with one O(5)Cd3Bi trigonal pyramid, and  an edgeedge with one O(10)Cd2Bi2 tetrahedra. In the second O site, O(2) is bonded to one Cd(1), one Cd(2), one Bi(1), and one Bi(5) atom to form OCd2Bi2 tetrahedra that share  a cornercorner with one O(1)Cd3Bi tetrahedra,  a cornercorner with one O(3)Cd4 tetrahedra,  a cornercorner with one O(18)Cd3Bi2 trigonal bipyramid,  a cornercorner with one O(13)Cd4Bi trigonal bipyramid,  a cornercorner with one O(9)Cd2Bi2 trigonal pyramid,  a cornercorner with one O(17)Cd3Bi trigonal pyramid,  an edgeedge with one O(24)Bi4 tetrahedra,  an edgeedge with one O(20)Cd2Bi2 tetrahedra,  an edgeedge with one O(4)Cd3Bi tetrahedra, and  an edgeedge with one O(5)Cd3Bi trigonal pyramid. In the third O site, O(3) is bonded to one Cd(13), one Cd(2), one Cd(3), and one Cd(7) atom to form OCd4 tetrahedra that share  a cornercorner with one O(10)Cd2Bi2 tetrahedra,  a cornercorner with one O(2)Cd2Bi2 tetrahedra,  a cornercorner with one O(1)Cd3Bi tetrahedra,  a cornercorner with one O(11)Cd3Bi tetrahedra,  a cornercorner with one O(4)Cd3Bi tetrahedra,  a cornercorner with one O(18)Cd3Bi2 trigonal bipyramid,  a cornercorner with one O(13)Cd4Bi trigonal bipyramid,  a cornercorner with one O(5)Cd3Bi trigonal pyramid,  an edgeedge with one O(14)Cd3Bi trigonal pyramid, and  an edgeedge with one O(17)Cd3Bi trigonal pyramid. In the fourth O site, O(4) is bonded to one Cd(2), one Cd(5), one Cd(6), and one Bi(1) atom to form OCd3Bi tetrahedra that share  a cornercorner with one O(24)Bi4 tetrahedra,  a cornercorner with one O(10)Cd2Bi2 tetrahedra,  a cornercorner with one O(3)Cd4 tetrahedra,  a cornercorner with one O(18)Cd3Bi2 trigonal bipyramid,  a cornercorner with one O(12)Cd4Bi trigonal bipyramid,  a cornercorner with one O(9)Cd2Bi2 trigonal pyramid,  a cornercorner with one O(17)Cd3Bi trigonal pyramid,  a cornercorner with one O(5)Cd3Bi trigonal pyramid, and  an edgeedge with one O(2)Cd2Bi2 tetrahedra. In the fifth O site, O(5) is bonded to one Cd(1), one Cd(10), one Cd(3), and one Bi(1) atom to form OCd3Bi trigonal pyramids that share  a cornercorner with one O(24)Bi4 tetrahedra,  a cornercorner with one O(20)Cd2Bi2 tetrahedra,  a cornercorner with one O(1)Cd3Bi tetrahedra,  a cornercorner with one O(11)Cd3Bi tetrahedra,  a cornercorner with one O(4)Cd3Bi tetrahedra,  a cornercorner with one O(3)Cd4 tetrahedra,  a cornercorner with one O(12)Cd4Bi trigonal bipyramid,  a cornercorner with one O(9)Cd2Bi2 trigonal pyramid,  a cornercorner with one O(14)Cd3Bi trigonal pyramid,  a cornercorner with one O(16)Cd3Bi trigonal pyramid, and  an edgeedge with one O(2)Cd2Bi2 tetrahedra. In the sixth O site, O(6) is bonded in a distorted trigonal non-coplanar geometry to one Cd(12), one Cd(9), and one Bi(1) atom. In the seventh O site, O(7) is bonded in a 4-coordinate geometry to one Cd(14), one Cd(5), one Cd(6), and one Bi(4) atom. In the eighth O site, O(8) is bonded in a 3-coordinate geometry to one Cd(7), one Cd(8), and one Bi(2) atom. In the ninth O site, O(9) is bonded to one Cd(11), one Cd(9), one Bi(1), and one Bi(3) atom to form distorted OCd2Bi2 trigonal pyramids that share  a cornercorner with one O(24)Bi4 tetrahedra,  a cornercorner with one O(10)Cd2Bi2 tetrahedra,  a cornercorner with one O(2)Cd2Bi2 tetrahedra,  a cornercorner with one O(20)Cd2Bi2 tetrahedra,  a cornercorner with one O(1)Cd3Bi tetrahedra,  a cornercorner with one O(22)Cd3Bi tetrahedra,  a cornercorner with one O(4)Cd3Bi tetrahedra,  a cornercorner with one O(12)Cd4Bi trigonal bipyramid,  a cornercorner with one O(17)Cd3Bi trigonal pyramid,  a cornercorner with one O(5)Cd3Bi trigonal pyramid, and  an edgeedge with one O(13)Cd4Bi trigonal bipyramid. In the tenth O site, O(10) is bonded to one Cd(13), one Cd(6), one Bi(3), and one Bi(6) atom to form distorted OCd2Bi2 tetrahedra that share  a cornercorner with one O(24)Bi4 tetrahedra,  a cornercorner with one O(20)Cd2Bi2 tetrahedra,  a cornercorner with one O(4)Cd3Bi tetrahedra,  a cornercorner with one O(3)Cd4 tetrahedra,  a cornercorner with one O(9)Cd2Bi2 trigonal pyramid,  a cornercorner with one O(14)Cd3Bi trigonal pyramid,  a cornercorner with one O(17)Cd3Bi trigonal pyramid,  an edgeedge with one O(1)Cd3Bi tetrahedra, and  an edgeedge with one O(18)Cd3Bi2 trigonal bipyramid. In the eleventh O site, O(11) is bonded to one Cd(15), one Cd(3), one Cd(4), and one Bi(4) atom to form distorted OCd3Bi tetrahedra that share  a cornercorner with one O(1)Cd3Bi tetrahedra,  a cornercorner with one O(15)Cd3Bi tetrahedra,  a cornercorner with one O(22)Cd3Bi tetrahedra,  a cornercorner with one O(3)Cd4 tetrahedra,  a cornercorner with one O(12)Cd4Bi trigonal bipyramid,  a cornercorner with one O(23)Cd2Bi2 trigonal pyramid,  a cornercorner with one O(17)Cd3Bi trigonal pyramid,  a cornercorner with one O(5)Cd3Bi trigonal pyramid,  an edgeedge with one O(26)CdBi3 tetrahedra, and  an edgeedge with one O(14)Cd3Bi trigonal pyramid. In the twelfth O site, O(12) is bonded to one Cd(10), one Cd(11), one Cd(5), one Cd(8), and one Bi(4) atom to form distorted OCd4Bi trigonal bipyramids that share  a cornercorner with one O(11)Cd3Bi tetrahedra,  a cornercorner with one O(4)Cd3Bi tetrahedra,  a cornercorner with one O(26)CdBi3 tetrahedra,  a cornercorner with one O(9)Cd2Bi2 trigonal pyramid,  a cornercorner with one O(5)Cd3Bi trigonal pyramid,  an edgeedge with one O(13)Cd4Bi trigonal bipyramid,  an edgeedge with one O(16)Cd3Bi trigonal pyramid, and  an edgeedge with one O(17)Cd3Bi trigonal pyramid. In the thirteenth O site, O(13) is bonded to one Cd(11), one Cd(7), one Cd(8), one Cd(9), and one Bi(5) atom to form OCd4Bi trigonal bipyramids that share  a cornercorner with one O(24)Bi4 tetrahedra,  a cornercorner with one O(2)Cd2Bi2 tetrahedra,  a cornercorner with one O(22)Cd3Bi tetrahedra,  a cornercorner with one O(3)Cd4 tetrahedra,  a cornercorner with one O(14)Cd3Bi trigonal pyramid,  a cornercorner with one O(16)Cd3Bi trigonal pyramid,  a cornercorner with one O(17)Cd3Bi trigonal pyramid,  an edgeedge with one O(20)Cd2Bi2 tetrahedra,  an edgeedge with one O(18)Cd3Bi2 trigonal bipyramid,  an edgeedge with one O(12)Cd4Bi trigonal bipyramid, and  an edgeedge with one O(9)Cd2Bi2 trigonal pyramid. In the fourteenth O site, O(14) is bonded to one Cd(15), one Cd(3), one Cd(7), and one Bi(6) atom to form distorted OCd3Bi trigonal pyramids that share  a cornercorner with one O(24)Bi4 tetrahedra,  a cornercorner with one O(10)Cd2Bi2 tetrahedra,  a cornercorner with one O(20)Cd2Bi2 tetrahedra,  a cornercorner with one O(22)Cd3Bi tetrahedra,  a cornercorner with one O(26)CdBi3 tetrahedra,  a cornercorner with one O(13)Cd4Bi trigonal bipyramid,  a cornercorner with one O(23)Cd2Bi2 trigonal pyramid,  a cornercorner with one O(5)Cd3Bi trigonal pyramid,  an edgeedge with one O(11)Cd3Bi tetrahedra,  an edgeedge with one O(3)Cd4 tetrahedra, and  an edgeedge with one O(18)Cd3Bi2 trigonal bipyramid. In the fifteenth O site, O(15) is bonded to one Cd(12), one Cd(14), one Cd(4), and one Bi(2) atom to form OCd3Bi tetrahedra that share  a cornercorner with one O(1)Cd3Bi tetrahedra,  a cornercorner with one O(11)Cd3Bi tetrahedra,  a cornercorner with one O(26)CdBi3 tetrahedra,  a cornercorner with one O(18)Cd3Bi2 trigonal bipyramid,  a cornercorner with one O(23)Cd2Bi2 trigonal pyramid, and  a cornercorner with one O(16)Cd3Bi trigonal pyramid. In the sixteenth O site, O(16) is bonded to one Cd(10), one Cd(12), one Cd(8), and one Bi(7) atom to form distorted OCd3Bi trigonal pyramids that share  a cornercorner with one O(15)Cd3Bi tetrahedra,  a cornercorner with one O(22)Cd3Bi tetrahedra,  a cornercorner with one O(13)Cd4Bi trigonal bipyramid,  a cornercorner with one O(23)Cd2Bi2 trigonal pyramid,  a cornercorner with one O(5)Cd3Bi trigonal pyramid, and  an edgeedge with one O(12)Cd4Bi trigonal bipyramid. In the seventeenth O site, O(17) is bonded to one Cd(11), one Cd(13), one Cd(2), and one Bi(4) atom to form distorted OCd3Bi trigonal pyramids that share  a cornercorner with one O(10)Cd2Bi2 tetrahedra,  a cornercorner with one O(2)Cd2Bi2 tetrahedra,  a cornercorner with one O(1)Cd3Bi tetrahedra,  a cornercorner with one O(11)Cd3Bi tetrahedra,  a cornercorner with one O(4)Cd3Bi tetrahedra,  a cornercorner with one O(26)CdBi3 tetrahedra,  a cornercorner with one O(13)Cd4Bi trigonal bipyramid,  a cornercorner with one O(9)Cd2Bi2 trigonal pyramid,  an edgeedge with one O(3)Cd4 tetrahedra, and  an edgeedge with one O(12)Cd4Bi trigonal bipyramid. In the eighteenth O site, O(18) is bonded to one Cd(14), one Cd(6), one Cd(7), one Bi(5), and one Bi(6) atom to form distorted OCd3Bi2 trigonal bipyramids that share  a cornercorner with one O(2)Cd2Bi2 tetrahedra,  a cornercorner with one O(15)Cd3Bi tetrahedra,  a cornercorner with one O(4)Cd3Bi tetrahedra,  a cornercorner with one O(3)Cd4 tetrahedra,  a cornercorner with one O(23)Cd2Bi2 trigonal pyramid,  an edgeedge with one O(24)Bi4 tetrahedra,  an edgeedge with one O(10)Cd2Bi2 tetrahedra,  an edgeedge with one O(20)Cd2Bi2 tetrahedra,  an edgeedge with one O(13)Cd4Bi trigonal bipyramid, and  an edgeedge with one O(14)Cd3Bi trigonal pyramid. In the nineteenth O site, O(19) is bonded in a trigonal planar geometry to one Cd(10), one Bi(3), and one Bi(7) atom. In the twentieth O site, O(20) is bonded to one Cd(1), one Cd(9), one Bi(5), and one Bi(6) atom to form distorted OCd2Bi2 tetrahedra that share  a cornercorner with one O(10)Cd2Bi2 tetrahedra,  a cornercorner with one O(1)Cd3Bi tetrahedra,  a cornercorner with one O(22)Cd3Bi tetrahedra,  a cornercorner with one O(9)Cd2Bi2 trigonal pyramid,  a cornercorner with one O(14)Cd3Bi trigonal pyramid,  a cornercorner with one O(5)Cd3Bi trigonal pyramid,  an edgeedge with one O(24)Bi4 tetrahedra,  an edgeedge with one O(2)Cd2Bi2 tetrahedra,  an edgeedge with one O(18)Cd3Bi2 trigonal bipyramid, and  an edgeedge with one O(13)Cd4Bi trigonal bipyramid. In the twenty-first O site, O(21) is bonded in a 3-coordinate geometry to one Cd(2), one Cd(4), and one Bi(2) atom. In the twenty-second O site, O(22) is bonded to one Cd(15), one Cd(16), one Cd(9), and one Bi(7) atom to form OCd3Bi tetrahedra that share  a cornercorner with one O(20)Cd2Bi2 tetrahedra,  a cornercorner with one O(11)Cd3Bi tetrahedra,  a cornercorner with one O(26)CdBi3 tetrahedra,  a cornercorner with one O(13)Cd4Bi trigonal bipyramid,  a cornercorner with one O(9)Cd2Bi2 trigonal pyramid,  a cornercorner with one O(14)Cd3Bi trigonal pyramid,  a cornercorner with one O(16)Cd3Bi trigonal pyramid, and  an edgeedge with one O(23)Cd2Bi2 trigonal pyramid. In the twenty-third O site, O(23) is bonded to one Cd(14), one Cd(15), one Bi(7), and one Bi(8) atom to form distorted OCd2Bi2 trigonal pyramids that share  a cornercorner with one O(24)Bi4 tetrahedra,  a cornercorner with one O(11)Cd3Bi tetrahedra,  a cornercorner with one O(15)Cd3Bi tetrahedra,  a cornercorner with one O(18)Cd3Bi2 trigonal bipyramid,  a cornercorner with one O(14)Cd3Bi trigonal pyramid,  a cornercorner with one O(16)Cd3Bi trigonal pyramid,  an edgeedge with one O(22)Cd3Bi tetrahedra, and  an edgeedge with one O(26)CdBi3 tetrahedra. In the twenty-fourth O site, O(24) is bonded to one Bi(1), one Bi(5), one Bi(6), and one Bi(8) atom to form distorted OBi4 tetrahedra that share  a cornercorner with one O(10)Cd2Bi2 tetrahedra,  a cornercorner with one O(4)Cd3Bi tetrahedra,  a cornercorner with one O(26)CdBi3 tetrahedra,  a cornercorner with one O(13)Cd4Bi trigonal bipyramid,  a cornercorner with one O(23)Cd2Bi2 trigonal pyramid,  a cornercorner with one O(9)Cd2Bi2 trigonal pyramid,  a cornercorner with one O(14)Cd3Bi trigonal pyramid,  a cornercorner with one O(5)Cd3Bi trigonal pyramid,  an edgeedge with one O(2)Cd2Bi2 tetrahedra,  an edgeedge with one O(20)Cd2Bi2 tetrahedra, and  an edgeedge with one O(18)Cd3Bi2 trigonal bipyramid. In the twenty-fifth O site, O(25) is bonded in a trigonal planar geometry to one Bi(2), one Bi(3), and one Bi(6) atom. In the twenty-sixth O site, O(26) is bonded to one Cd(15), one Bi(2), one Bi(4), and one Bi(8) atom to form OCdBi3 tetrahedra that share  a cornercorner with one O(24)Bi4 tetrahedra,  a cornercorner with one O(15)Cd3Bi tetrahedra,  a cornercorner with one O(22)Cd3Bi tetrahedra,  a cornercorner with one O(12)Cd4Bi trigonal bipyramid,  a cornercorner with one O(14)Cd3Bi trigonal pyramid,  a cornercorner with one O(17)Cd3Bi trigonal pyramid,  an edgeedge with one O(11)Cd3Bi tetrahedra, and  an edgeedge with one O(23)Cd2Bi2 trigonal pyramid. In the twenty-seventh O site, O(27) is bonded in a rectangular see-saw-like geometry to one Cd(16), one Cd(5), one Cd(8), and one Bi(8) atom. In the twenty-eighth O site, O(28) is bonded in a rectangular see-saw-like geometry to one Cd(12), one Cd(16), one Cd(8), and one Bi(2) atom.