The material described by MnCd9O10 is Caswellsilverite-like structured and crystallizes in the triclinic P1 space group. There are four inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to one O(11), one O(16), one O(17), one O(21), one O(25), and one O(29) atom to form MnO6 octahedra that share  a cornercorner with one Cd(32)O6 octahedra,  a cornercorner with one Cd(35)O6 octahedra, corners with two equivalent Cd(13)O6 octahedra, corners with two equivalent Cd(17)O6 octahedra,  an edgeedge with one Cd(12)O6 octahedra,  an edgeedge with one Cd(15)O6 octahedra,  an edgeedge with one Cd(20)O6 octahedra,  an edgeedge with one Cd(21)O6 octahedra,  an edgeedge with one Cd(25)O6 octahedra,  an edgeedge with one Cd(29)O6 octahedra,  an edgeedge with one Cd(33)O6 octahedra,  an edgeedge with one Cd(5)O6 octahedra,  an edgeedge with one Cd(7)O6 octahedra,  an edgeedge with one Cd(9)O6 octahedra, and edges with two equivalent Cd(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 0-1°. In the second Mn site, Mn(2) is bonded to one O(14), one O(20), one O(24), one O(28), one O(32), and one O(9) atom to form MnO6 octahedra that share  a cornercorner with one Cd(30)O6 octahedra,  a cornercorner with one Cd(33)O6 octahedra, corners with two equivalent Cd(16)O6 octahedra, corners with two equivalent Cd(20)O6 octahedra,  an edgeedge with one Cd(10)O6 octahedra,  an edgeedge with one Cd(12)O6 octahedra,  an edgeedge with one Cd(13)O6 octahedra,  an edgeedge with one Cd(18)O6 octahedra,  an edgeedge with one Cd(24)O6 octahedra,  an edgeedge with one Cd(28)O6 octahedra,  an edgeedge with one Cd(32)O6 octahedra,  an edgeedge with one Cd(36)O6 octahedra,  an edgeedge with one Cd(5)O6 octahedra,  an edgeedge with one Cd(8)O6 octahedra, and edges with two equivalent Cd(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 0-1°. In the third Mn site, Mn(3) is bonded to one O(12), one O(15), one O(18), one O(22), one O(26), and one O(30) atom to form MnO6 octahedra that share  a cornercorner with one Cd(31)O6 octahedra,  a cornercorner with one Cd(36)O6 octahedra, corners with two equivalent Cd(14)O6 octahedra, corners with two equivalent Cd(18)O6 octahedra,  an edgeedge with one Cd(10)O6 octahedra,  an edgeedge with one Cd(11)O6 octahedra,  an edgeedge with one Cd(16)O6 octahedra,  an edgeedge with one Cd(19)O6 octahedra,  an edgeedge with one Cd(22)O6 octahedra,  an edgeedge with one Cd(26)O6 octahedra,  an edgeedge with one Cd(30)O6 octahedra,  an edgeedge with one Cd(34)O6 octahedra,  an edgeedge with one Cd(6)O6 octahedra,  an edgeedge with one Cd(8)O6 octahedra, and edges with two equivalent Cd(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 0-1°. In the fourth Mn site, Mn(4) is bonded to one O(10), one O(13), one O(19), one O(23), one O(27), and one O(31) atom to form MnO6 octahedra that share  a cornercorner with one Cd(29)O6 octahedra,  a cornercorner with one Cd(34)O6 octahedra, corners with two equivalent Cd(15)O6 octahedra, corners with two equivalent Cd(19)O6 octahedra,  an edgeedge with one Cd(11)O6 octahedra,  an edgeedge with one Cd(14)O6 octahedra,  an edgeedge with one Cd(17)O6 octahedra,  an edgeedge with one Cd(23)O6 octahedra,  an edgeedge with one Cd(27)O6 octahedra,  an edgeedge with one Cd(31)O6 octahedra,  an edgeedge with one Cd(35)O6 octahedra,  an edgeedge with one Cd(6)O6 octahedra,  an edgeedge with one Cd(7)O6 octahedra,  an edgeedge with one Cd(9)O6 octahedra, and edges with two equivalent Cd(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 0-1°. There are thirty-six inequivalent Cd sites. In the first Cd site, Cd(1) is bonded to one O(17), one O(21), one O(25), one O(29), one O(3), and one O(8) atom to form CdO6 octahedra that share  a cornercorner with one Cd(23)O6 octahedra,  a cornercorner with one Cd(28)O6 octahedra, corners with two equivalent Cd(5)O6 octahedra, corners with two equivalent Cd(9)O6 octahedra,  an edgeedge with one Cd(12)O6 octahedra,  an edgeedge with one Cd(13)O6 octahedra,  an edgeedge with one Cd(15)O6 octahedra,  an edgeedge with one Cd(17)O6 octahedra,  an edgeedge with one Cd(20)O6 octahedra,  an edgeedge with one Cd(21)O6 octahedra,  an edgeedge with one Cd(25)O6 octahedra,  an edgeedge with one Cd(29)O6 octahedra,  an edgeedge with one Cd(33)O6 octahedra,  an edgeedge with one Cd(7)O6 octahedra, and edges with two equivalent Mn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 1-5°. In the second Cd site, Cd(2) is bonded to one O(18), one O(22), one O(26), one O(30), one O(4), and one O(7) atom to form CdO6 octahedra that share  a cornercorner with one Cd(24)O6 octahedra,  a cornercorner with one Cd(27)O6 octahedra, corners with two equivalent Cd(10)O6 octahedra, corners with two equivalent Cd(6)O6 octahedra,  an edgeedge with one Cd(11)O6 octahedra,  an edgeedge with one Cd(14)O6 octahedra,  an edgeedge with one Cd(16)O6 octahedra,  an edgeedge with one Cd(18)O6 octahedra,  an edgeedge with one Cd(19)O6 octahedra,  an edgeedge with one Cd(22)O6 octahedra,  an edgeedge with one Cd(26)O6 octahedra,  an edgeedge with one Cd(30)O6 octahedra,  an edgeedge with one Cd(34)O6 octahedra,  an edgeedge with one Cd(8)O6 octahedra, and edges with two equivalent Mn(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 1-5°. In the third Cd site, Cd(3) is bonded to one O(19), one O(2), one O(23), one O(27), one O(31), and one O(5) atom to form CdO6 octahedra that share  a cornercorner with one Cd(22)O6 octahedra,  a cornercorner with one Cd(25)O6 octahedra, corners with two equivalent Cd(11)O6 octahedra, corners with two equivalent Cd(7)O6 octahedra,  an edgeedge with one Cd(14)O6 octahedra,  an edgeedge with one Cd(15)O6 octahedra,  an edgeedge with one Cd(17)O6 octahedra,  an edgeedge with one Cd(19)O6 octahedra,  an edgeedge with one Cd(23)O6 octahedra,  an edgeedge with one Cd(27)O6 octahedra,  an edgeedge with one Cd(31)O6 octahedra,  an edgeedge with one Cd(35)O6 octahedra,  an edgeedge with one Cd(6)O6 octahedra,  an edgeedge with one Cd(9)O6 octahedra, and edges with two equivalent Mn(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 1-6°. In the fourth Cd site, Cd(4) is bonded to one O(1), one O(20), one O(24), one O(28), one O(32), and one O(6) atom to form CdO6 octahedra that share  a cornercorner with one Cd(21)O6 octahedra,  a cornercorner with one Cd(26)O6 octahedra, corners with two equivalent Cd(12)O6 octahedra, corners with two equivalent Cd(8)O6 octahedra,  an edgeedge with one Cd(10)O6 octahedra,  an edgeedge with one Cd(13)O6 octahedra,  an edgeedge with one Cd(16)O6 octahedra,  an edgeedge with one Cd(18)O6 octahedra,  an edgeedge with one Cd(20)O6 octahedra,  an edgeedge with one Cd(24)O6 octahedra,  an edgeedge with one Cd(28)O6 octahedra,  an edgeedge with one Cd(32)O6 octahedra,  an edgeedge with one Cd(36)O6 octahedra,  an edgeedge with one Cd(5)O6 octahedra, and edges with two equivalent Mn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 1-6°. In the fifth Cd site, Cd(5) is bonded to one O(1), one O(17), one O(25), one O(32), one O(37), and one O(9) atom to form CdO6 octahedra that share  a cornercorner with one Cd(17)O6 octahedra,  a cornercorner with one Cd(36)O6 octahedra, corners with two equivalent Cd(1)O6 octahedra, corners with two equivalent Cd(32)O6 octahedra,  an edgeedge with one Mn(1)O6 octahedra,  an edgeedge with one Mn(2)O6 octahedra,  an edgeedge with one Cd(12)O6 octahedra,  an edgeedge with one Cd(20)O6 octahedra,  an edgeedge with one Cd(21)O6 octahedra,  an edgeedge with one Cd(25)O6 octahedra,  an edgeedge with one Cd(28)O6 octahedra,  an edgeedge with one Cd(29)O6 octahedra,  an edgeedge with one Cd(33)O6 octahedra,  an edgeedge with one Cd(4)O6 octahedra, and edges with two equivalent Cd(13)O6 octahedra. The corner-sharing octahedral tilt angles range from 0-5°. In the sixth Cd site, Cd(6) is bonded to one O(10), one O(18), one O(2), one O(26), one O(31), and one O(38) atom to form CdO6 octahedra that share  a cornercorner with one Cd(18)O6 octahedra,  a cornercorner with one Cd(35)O6 octahedra, corners with two equivalent Cd(2)O6 octahedra, corners with two equivalent Cd(31)O6 octahedra,  an edgeedge with one Mn(3)O6 octahedra,  an edgeedge with one Mn(4)O6 octahedra,  an edgeedge with one Cd(11)O6 octahedra,  an edgeedge with one Cd(19)O6 octahedra,  an edgeedge with one Cd(22)O6 octahedra,  an edgeedge with one Cd(26)O6 octahedra,  an edgeedge with one Cd(27)O6 octahedra,  an edgeedge with one Cd(3)O6 octahedra,  an edgeedge with one Cd(30)O6 octahedra,  an edgeedge with one Cd(34)O6 octahedra, and edges with two equivalent Cd(14)O6 octahedra. The corner-sharing octahedral tilt angles range from 0-5°. In the seventh Cd site, Cd(7) is bonded to one O(11), one O(19), one O(27), one O(29), one O(3), and one O(39) atom to form CdO6 octahedra that share  a cornercorner with one Cd(19)O6 octahedra,  a cornercorner with one Cd(33)O6 octahedra, corners with two equivalent Cd(29)O6 octahedra, corners with two equivalent Cd(3)O6 octahedra,  an edgeedge with one Mn(1)O6 octahedra,  an edgeedge with one Mn(4)O6 octahedra,  an edgeedge with one Cd(1)O6 octahedra,  an edgeedge with one Cd(17)O6 octahedra,  an edgeedge with one Cd(23)O6 octahedra,  an edgeedge with one Cd(25)O6 octahedra,  an edgeedge with one Cd(27)O6 octahedra,  an edgeedge with one Cd(31)O6 octahedra,  an edgeedge with one Cd(35)O6 octahedra,  an edgeedge with one Cd(9)O6 octahedra, and edges with two equivalent Cd(15)O6 octahedra. The corner-sharing octahedral tilt angles range from 0-6°. In the eighth Cd site, Cd(8) is bonded to one O(12), one O(20), one O(28), one O(30), one O(4), and one O(40) atom to form CdO6 octahedra that share  a cornercorner with one Cd(20)O6 octahedra,  a cornercorner with one Cd(34)O6 octahedra, corners with two equivalent Cd(30)O6 octahedra, corners with two equivalent Cd(4)O6 octahedra,  an edgeedge with one Mn(2)O6 octahedra,  an edgeedge with one Mn(3)O6 octahedra,  an edgeedge with one Cd(10)O6 octahedra,  an edgeedge with one Cd(18)O6 octahedra,  an edgeedge with one Cd(2)O6 octahedra,  an edgeedge with one Cd(24)O6 octahedra,  an edgeedge with one Cd(26)O6 octahedra,  an edgeedge with one Cd(28)O6 octahedra,  an edgeedge with one Cd(32)O6 octahedra,  an edgeedge with one Cd(36)O6 octahedra, and edges with two equivalent Cd(16)O6 octahedra. The corner-sharing octahedral tilt angles range from 0-6°. In the ninth Cd site, Cd(9) is bonded to one O(13), one O(21), one O(27), one O(29), one O(33), and one O(5) atom to form CdO6 octahedra that share  a cornercorner with one Cd(13)O6 octahedra,  a cornercorner with one Cd(31)O6 octahedra, corners with two equivalent Cd(1)O6 octahedra, corners with two equivalent Cd(35)O6 octahedra,  an edgeedge with one Mn(1)O6 octahedra,  an edgeedge with one Mn(4)O6 octahedra,  an edgeedge with one Cd(15)O6 octahedra,  an edgeedge with one Cd(21)O6 octahedra,  an edgeedge with one Cd(23)O6 octahedra,  an edgeedge with one Cd(25)O6 octahedra,  an edgeedge with one Cd(29)O6 octahedra,  an edgeedge with one Cd(3)O6 octahedra,  an edgeedge with one Cd(33)O6 octahedra,  an edgeedge with one Cd(7)O6 octahedra, and edges with two equivalent Cd(17)O6 octahedra. The corner-sharing octahedral tilt angles range from 0-5°. In the tenth Cd site, Cd(10) is bonded to one O(14), one O(22), one O(28), one O(30), one O(34), and one O(6) atom to form CdO6 octahedra that share  a cornercorner with one Cd(14)O6 octahedra,  a cornercorner with one Cd(32)O6 octahedra, corners with two equivalent Cd(2)O6 octahedra, corners with two equivalent Cd(36)O6 octahedra,  an edgeedge with one Mn(2)O6 octahedra,  an edgeedge with one Mn(3)O6 octahedra,  an edgeedge with one Cd(16)O6 octahedra,  an edgeedge with one Cd(22)O6 octahedra,  an edgeedge with one Cd(24)O6 octahedra,  an edgeedge with one Cd(26)O6 octahedra,  an edgeedge with one Cd(30)O6 octahedra,  an edgeedge with one Cd(34)O6 octahedra,  an edgeedge with one Cd(4)O6 octahedra,  an edgeedge with one Cd(8)O6 octahedra, and edges with two equivalent Cd(18)O6 octahedra. The corner-sharing octahedral tilt angles range from 0-5°. In the eleventh Cd site, Cd(11) is bonded to one O(15), one O(23), one O(26), one O(31), one O(35), and one O(7) atom to form CdO6 octahedra that share  a cornercorner with one Cd(15)O6 octahedra,  a cornercorner with one Cd(30)O6 octahedra, corners with two equivalent Cd(3)O6 octahedra, corners with two equivalent Cd(34)O6 octahedra,  an edgeedge with one Mn(3)O6 octahedra,  an edgeedge with one Mn(4)O6 octahedra,  an edgeedge with one Cd(14)O6 octahedra,  an edgeedge with one Cd(2)O6 octahedra,  an edgeedge with one Cd(22)O6 octahedra,  an edgeedge with one Cd(23)O6 octahedra,  an edgeedge with one Cd(27)O6 octahedra,  an edgeedge with one Cd(31)O6 octahedra,  an edgeedge with one Cd(35)O6 octahedra,  an edgeedge with one Cd(6)O6 octahedra, and edges with two equivalent Cd(19)O6 octahedra. The corner-sharing octahedral tilt angles range from 0-6°. In the twelfth Cd site, Cd(12) is bonded to one O(16), one O(24), one O(25), one O(32), one O(36), and one O(8) atom to form CdO6 octahedra that share  a cornercorner with one Cd(16)O6 octahedra,  a cornercorner with one Cd(29)O6 octahedra, corners with two equivalent Cd(33)O6 octahedra, corners with two equivalent Cd(4)O6 octahedra,  an edgeedge with one Mn(1)O6 octahedra,  an edgeedge with one Mn(2)O6 octahedra,  an edgeedge with one Cd(1)O6 octahedra,  an edgeedge with one Cd(13)O6 octahedra,  an edgeedge with one Cd(21)O6 octahedra,  an edgeedge with one Cd(24)O6 octahedra,  an edgeedge with one Cd(28)O6 octahedra,  an edgeedge with one Cd(32)O6 octahedra,  an edgeedge with one Cd(36)O6 octahedra,  an edgeedge with one Cd(5)O6 octahedra, and edges with two equivalent Cd(20)O6 octahedra. The corner-sharing octahedral tilt angles range from 0-6°. In the thirteenth Cd site, Cd(13) is bonded to one O(1), one O(17), one O(24), one O(25), one O(33), and one O(9) atom to form CdO6 octahedra that share  a cornercorner with one Cd(24)O6 octahedra,  a cornercorner with one Cd(9)O6 octahedra, corners with two equivalent Mn(1)O6 octahedra, corners with two equivalent Cd(28)O6 octahedra,  an edgeedge with one Mn(2)O6 octahedra,  an edgeedge with one Cd(1)O6 octahedra,  an edgeedge with one Cd(12)O6 octahedra,  an edgeedge with one Cd(20)O6 octahedra,  an edgeedge with one Cd(21)O6 octahedra,  an edgeedge with one Cd(25)O6 octahedra,  an edgeedge with one Cd(29)O6 octahedra,  an edgeedge with one Cd(32)O6 octahedra,  an edgeedge with one Cd(33)O6 octahedra,  an edgeedge with one Cd(4)O6 octahedra, and edges with two equivalent Cd(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 0-4°. In the fourteenth Cd site, Cd(14) is bonded to one O(10), one O(18), one O(2), one O(23), one O(26), and one O(34) atom to form CdO6 octahedra that share  a cornercorner with one Cd(10)O6 octahedra,  a cornercorner with one Cd(23)O6 octahedra, corners with two equivalent Mn(3)O6 octahedra, corners with two equivalent Cd(27)O6 octahedra,  an edgeedge with one Mn(4)O6 octahedra,  an edgeedge with one Cd(11)O6 octahedra,  an edgeedge with one Cd(19)O6 octahedra,  an edgeedge with one Cd(2)O6 octahedra,  an edgeedge with one Cd(22)O6 octahedra,  an edgeedge with one Cd(26)O6 octahedra,  an edgeedge with one Cd(3)O6 octahedra,  an edgeedge with one Cd(30)O6 octahedra,  an edgeedge with one Cd(31)O6 octahedra,  an edgeedge with one Cd(34)O6 octahedra, and edges with two equivalent Cd(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 0-5°. In the fifteenth Cd site, Cd(15) is bonded to one O(11), one O(19), one O(21), one O(27), one O(3), and one O(35) atom to form CdO6 octahedra that share  a cornercorner with one Cd(11)O6 octahedra,  a cornercorner with one Cd(21)O6 octahedra, corners with two equivalent Mn(4)O6 octahedra, corners with two equivalent Cd(25)O6 octahedra,  an edgeedge with one Mn(1)O6 octahedra,  an edgeedge with one Cd(1)O6 octahedra,  an edgeedge with one Cd(17)O6 octahedra,  an edgeedge with one Cd(23)O6 octahedra,  an edgeedge with one Cd(27)O6 octahedra,  an edgeedge with one Cd(29)O6 octahedra,  an edgeedge with one Cd(3)O6 octahedra,  an edgeedge with one Cd(31)O6 octahedra,  an edgeedge with one Cd(35)O6 octahedra,  an edgeedge with one Cd(9)O6 octahedra, and edges with two equivalent Cd(7)O6 octahedra. The corner-sharing octahedral tilt angles range from 0-4°. In the sixteenth Cd site, Cd(16) is bonded to one O(12), one O(20), one O(22), one O(28), one O(36), and one O(4) atom to form CdO6 octahedra that share  a cornercorner with one Cd(12)O6 octahedra,  a cornercorner with one Cd(22)O6 octahedra, corners with two equivalent Mn(2)O6 octahedra, corners with two equivalent Cd(26)O6 octahedra,  an edgeedge with one Mn(3)O6 octahedra,  an edgeedge with one Cd(10)O6 octahedra,  an edgeedge with one Cd(18)O6 octahedra,  an edgeedge with one Cd(2)O6 octahedra,  an edgeedge with one Cd(24)O6 octahedra,  an edgeedge with one Cd(28)O6 octahedra,  an edgeedge with one Cd(30)O6 octahedra,  an edgeedge with one Cd(32)O6 octahedra,  an edgeedge with one Cd(36)O6 octahedra,  an edgeedge with one Cd(4)O6 octahedra, and edges with two equivalent Cd(8)O6 octahedra. The corner-sharing octahedral tilt angles range from 0-4°. In the seventeenth Cd site, Cd(17) is bonded to one O(13), one O(19), one O(21), one O(29), one O(37), and one O(5) atom to form CdO6 octahedra that share  a cornercorner with one Cd(27)O6 octahedra,  a cornercorner with one Cd(5)O6 octahedra, corners with two equivalent Mn(1)O6 octahedra, corners with two equivalent Cd(23)O6 octahedra,  an edgeedge with one Mn(4)O6 octahedra,  an edgeedge with one Cd(1)O6 octahedra,  an edgeedge with one Cd(15)O6 octahedra,  an edgeedge with one Cd(21)O6 octahedra,  an edgeedge with one Cd(25)O6 octahedra,  an edgeedge with one Cd(29)O6 octahedra,  an edgeedge with one Cd(3)O6 octahedra,  an edgeedge with one Cd(33)O6 octahedra,  an edgeedge with one Cd(35)O6 octahedra,  an edgeedge with one Cd(7)O6 octahedra, and edges with two equivalent Cd(9)O6 octahedra. The corner-sharing octahedral tilt angles range from 0-5°. In the eighteenth Cd site, Cd(18) is bonded to one O(14), one O(20), one O(22), one O(30), one O(38), and one O(6) atom to form CdO6 octahedra that share  a cornercorner with one Cd(28)O6 octahedra,  a cornercorner with one Cd(6)O6 octahedra, corners with two equivalent Mn(3)O6 octahedra, corners with two equivalent Cd(24)O6 octahedra,  an edgeedge with one Mn(2)O6 octahedra,  an edgeedge with one Cd(16)O6 octahedra,  an edgeedge with one Cd(2)O6 octahedra,  an edgeedge with one Cd(22)O6 octahedra,  an edgeedge with one Cd(26)O6 octahedra,  an edgeedge with one Cd(30)O6 octahedra,  an edgeedge with one Cd(34)O6 octahedra,  an edgeedge with one Cd(36)O6 octahedra,  an edgeedge with one Cd(4)O6 octahedra,  an edgeedge with one Cd(8)O6 octahedra, and edges with two equivalent Cd(10)O6 octahedra. The corner-sharing octahedral tilt angles range from 0-4°. In the nineteenth Cd site, Cd(19) is bonded to one O(15), one O(18), one O(23), one O(31), one O(39), and one O(7) atom to form CdO6 octahedra that share  a cornercorner with one Cd(26)O6 octahedra,  a cornercorner with one Cd(7)O6 octahedra, corners with two equivalent Mn(4)O6 octahedra, corners with two equivalent Cd(22)O6 octahedra,  an edgeedge with one Mn(3)O6 octahedra,  an edgeedge with one Cd(14)O6 octahedra,  an edgeedge with one Cd(2)O6 octahedra,  an edgeedge with one Cd(23)O6 octahedra,  an edgeedge with one Cd(27)O6 octahedra,  an edgeedge with one Cd(3)O6 octahedra,  an edgeedge with one Cd(31)O6 octahedra,  an edgeedge with one Cd(34)O6 octahedra,  an edgeedge with one Cd(35)O6 octahedra,  an edgeedge with one Cd(6)O6 octahedra, and edges with two equivalent Cd(11)O6 octahedra. The corner-sharing octahedral tilt angles range from 0-4°. In the twentieth Cd site, Cd(20) is bonded to one O(16), one O(17), one O(24), one O(32), one O(40), and one O(8) atom to form CdO6 octahedra that share  a cornercorner with one Cd(25)O6 octahedra,  a cornercorner with one Cd(8)O6 octahedra, corners with two equivalent Mn(2)O6 octahedra, corners with two equivalent Cd(21)O6 octahedra,  an edgeedge with one Mn(1)O6 octahedra,  an edgeedge with one Cd(1)O6 octahedra,  an edgeedge with one Cd(13)O6 octahedra,  an edgeedge with one Cd(24)O6 octahedra,  an edgeedge with one Cd(28)O6 octahedra,  an edgeedge with one Cd(32)O6 octahedra,  an edgeedge with one Cd(33)O6 octahedra,  an edgeedge with one Cd(36)O6 octahedra,  an edgeedge with one Cd(4)O6 octahedra,  an edgeedge with one Cd(5)O6 octahedra, and edges with two equivalent Cd(12)O6 octahedra. The corner-sharing octahedral tilt angles range from 0-4°. In the twenty-first Cd site, Cd(21) is bonded to one O(1), one O(16), one O(21), one O(33), one O(37), and one O(8) atom to form CdO6 octahedra that share  a cornercorner with one Cd(15)O6 octahedra,  a cornercorner with one Cd(4)O6 octahedra, corners with two equivalent Cd(20)O6 octahedra, corners with two equivalent Cd(29)O6 octahedra,  an edgeedge with one Mn(1)O6 octahedra,  an edgeedge with one Cd(1)O6 octahedra,  an edgeedge with one Cd(12)O6 octahedra,  an edgeedge with one Cd(13)O6 octahedra,  an edgeedge with one Cd(17)O6 octahedra,  an edgeedge with one Cd(25)O6 octahedra,  an edgeedge with one Cd(28)O6 octahedra,  an edgeedge with one Cd(32)O6 octahedra,  an edgeedge with one Cd(5)O6 octahedra,  an edgeedge with one Cd(9)O6 octahedra, and edges with two equivalent Cd(33)O6 octahedra. The corner-sharing octahedral tilt angles range from 1-4°. In the twenty-second Cd site, Cd(22) is bonded to one O(15), one O(2), one O(22), one O(34), one O(38), and one O(7) atom to form CdO6 octahedra that share  a cornercorner with one Cd(16)O6 octahedra,  a cornercorner with one Cd(3)O6 octahedra, corners with two equivalent Cd(19)O6 octahedra, corners with two equivalent Cd(30)O6 octahedra,  an edgeedge with one Mn(3)O6 octahedra,  an edgeedge with one Cd(10)O6 octahedra,  an edgeedge with one Cd(11)O6 octahedra,  an edgeedge with one Cd(14)O6 octahedra,  an edgeedge with one Cd(18)O6 octahedra,  an edgeedge with one Cd(2)O6 octahedra,  an edgeedge with one Cd(26)O6 octahedra,  an edgeedge with one Cd(27)O6 octahedra,  an edgeedge with one Cd(31)O6 octahedra,  an edgeedge with one Cd(6)O6 octahedra, and edges with two equivalent Cd(34)O6 octahedra. The corner-sharing octahedral tilt angles range from 1-4°. In the twenty-third Cd site, Cd(23) is bonded to one O(13), one O(23), one O(3), one O(35), one O(39), and one O(5) atom to form CdO6 octahedra that share  a cornercorner with one Cd(1)O6 octahedra,  a cornercorner with one Cd(14)O6 octahedra, corners with two equivalent Cd(17)O6 octahedra, corners with two equivalent Cd(31)O6 octahedra,  an edgeedge with one Mn(4)O6 octahedra,  an edgeedge with one Cd(11)O6 octahedra,  an edgeedge with one Cd(15)O6 octahedra,  an edgeedge with one Cd(19)O6 octahedra,  an edgeedge with one Cd(25)O6 octahedra,  an edgeedge with one Cd(27)O6 octahedra,  an edgeedge with one Cd(29)O6 octahedra,  an edgeedge with one Cd(3)O6 octahedra,  an edgeedge with one Cd(7)O6 octahedra,  an edgeedge with one Cd(9)O6 octahedra, and edges with two equivalent Cd(35)O6 octahedra. The corner-sharing octahedral tilt angles range from 1-5°. In the twenty-fourth Cd site, Cd(24) is bonded to one O(14), one O(24), one O(36), one O(4), one O(40), and one O(6) atom to form CdO6 octahedra that share  a cornercorner with one Cd(13)O6 octahedra,  a cornercorner with one Cd(2)O6 octahedra, corners with two equivalent Cd(18)O6 octahedra, corners with two equivalent Cd(32)O6 octahedra,  an edgeedge with one Mn(2)O6 octahedra,  an edgeedge with one Cd(10)O6 octahedra,  an edgeedge with one Cd(12)O6 octahedra,  an edgeedge with one Cd(16)O6 octahedra,  an edgeedge with one Cd(20)O6 octahedra,  an edgeedge with one Cd(26)O6 octahedra,  an edgeedge with one Cd(28)O6 octahedra,  an edgeedge with one Cd(30)O6 octahedra,  an edgeedge with one Cd(4)O6 octahedra,  an edgeedge with one Cd(8)O6 octahedra, and edges with two equivalent Cd(36)O6 octahedra. The corner-sharing octahedral tilt angles range from 1-4°. In the twenty-fifth Cd site, Cd(25) is bonded to one O(11), one O(17), one O(3), one O(33), one O(37), and one O(5) atom to form CdO6 octahedra that share  a cornercorner with one Cd(20)O6 octahedra,  a cornercorner with one Cd(3)O6 octahedra, corners with two equivalent Cd(15)O6 octahedra, corners with two equivalent Cd(33)O6 octahedra,  an edgeedge with one Mn(1)O6 octahedra,  an edgeedge with one Cd(1)O6 octahedra,  an edgeedge with one Cd(13)O6 octahedra,  an edgeedge with one Cd(17)O6 octahedra,  an edgeedge with one Cd(21)O6 octahedra,  an edgeedge with one Cd(23)O6 octahedra,  an edgeedge with one Cd(35)O6 octahedra,  an edgeedge with one Cd(5)O6 octahedra,  an edgeedge with one Cd(7)O6 octahedra,  an edgeedge with one Cd(9)O6 octahedra, and edges with two equivalent Cd(29)O6 octahedra. The corner-sharing octahedral tilt angles range from 1-4°. In the twenty-sixth Cd site, Cd(26) is bonded to one O(12), one O(18), one O(34), one O(38), one O(4), and one O(6) atom to form CdO6 octahedra that share  a cornercorner with one Cd(19)O6 octahedra,  a cornercorner with one Cd(4)O6 octahedra, corners with two equivalent Cd(16)O6 octahedra, corners with two equivalent Cd(34)O6 octahedra,  an edgeedge with one Mn(3)O6 octahedra,  an edgeedge with one Cd(10)O6 octahedra,  an edgeedge with one Cd(14)O6 octahedra,  an edgeedge with one Cd(18)O6 octahedra,  an edgeedge with one Cd(2)O6 octahedra,  an edgeedge with one Cd(22)O6 octahedra,  an edgeedge with one Cd(24)O6 octahedra,  an edgeedge with one Cd(36)O6 octahedra,  an edgeedge with one Cd(6)O6 octahedra,  an edgeedge with one Cd(8)O6 octahedra, and edges with two equivalent Cd(30)O6 octahedra. The corner-sharing octahedral tilt angles range from 1-4°. In the twenty-seventh Cd site, Cd(27) is bonded to one O(10), one O(19), one O(2), one O(35), one O(39), and one O(7) atom to form CdO6 octahedra that share  a cornercorner with one Cd(17)O6 octahedra,  a cornercorner with one Cd(2)O6 octahedra, corners with two equivalent Cd(14)O6 octahedra, corners with two equivalent Cd(35)O6 octahedra,  an edgeedge with one Mn(4)O6 octahedra,  an edgeedge with one Cd(11)O6 octahedra,  an edgeedge with one Cd(15)O6 octahedra,  an edgeedge with one Cd(19)O6 octahedra,  an edgeedge with one Cd(22)O6 octahedra,  an edgeedge with one Cd(23)O6 octahedra,  an edgeedge with one Cd(3)O6 octahedra,  an edgeedge with one Cd(34)O6 octahedra,  an edgeedge with one Cd(6)O6 octahedra,  an edgeedge with one Cd(7)O6 octahedra, and edges with two equivalent Cd(31)O6 octahedra. The corner-sharing octahedral tilt angles range from 1-5°. In the twenty-eighth Cd site, Cd(28) is bonded to one O(1), one O(20), one O(36), one O(40), one O(8), and one O(9) atom to form CdO6 octahedra that share  a cornercorner with one Cd(1)O6 octahedra,  a cornercorner with one Cd(18)O6 octahedra, corners with two equivalent Cd(13)O6 octahedra, corners with two equivalent Cd(36)O6 octahedra,  an edgeedge with one Mn(2)O6 octahedra,  an edgeedge with one Cd(12)O6 octahedra,  an edgeedge with one Cd(16)O6 octahedra,  an edgeedge with one Cd(20)O6 octahedra,  an edgeedge with one Cd(21)O6 octahedra,  an edgeedge with one Cd(24)O6 octahedra,  an edgeedge with one Cd(33)O6 octahedra,  an edgeedge with one Cd(4)O6 octahedra,  an edgeedge with one Cd(5)O6 octahedra,  an edgeedge with one Cd(8)O6 octahedra, and edges with two equivalent Cd(32)O6 octahedra. The corner-sharing octahedral tilt angles range from 1-4°. In the twenty-ninth Cd site, Cd(29) is bonded to one O(11), one O(13), one O(25), one O(3), one O(33), and one O(37) atom to form CdO6 octahedra that share  a cornercorner with one Mn(4)O6 octahedra,  a cornercorner with one Cd(12)O6 octahedra, corners with two equivalent Cd(21)O6 octahedra, corners with two equivalent Cd(7)O6 octahedra,  an edgeedge with one Mn(1)O6 octahedra,  an edgeedge with one Cd(1)O6 octahedra,  an edgeedge with one Cd(13)O6 octahedra,  an edgeedge with one Cd(15)O6 octahedra,  an edgeedge with one Cd(17)O6 octahedra,  an edgeedge with one Cd(23)O6 octahedra,  an edgeedge with one Cd(33)O6 octahedra,  an edgeedge with one Cd(35)O6 octahedra,  an edgeedge with one Cd(5)O6 octahedra,  an edgeedge with one Cd(9)O6 octahedra, and edges with two equivalent Cd(25)O6 octahedra. The corner-sharing octahedral tilt angles range from 1-5°. In the thirtieth Cd site, Cd(30) is bonded to one O(12), one O(14), one O(26), one O(34), one O(38), and one O(4) atom to form CdO6 octahedra that share  a cornercorner with one Mn(2)O6 octahedra,  a cornercorner with one Cd(11)O6 octahedra, corners with two equivalent Cd(22)O6 octahedra, corners with two equivalent Cd(8)O6 octahedra,  an edgeedge with one Mn(3)O6 octahedra,  an edgeedge with one Cd(10)O6 octahedra,  an edgeedge with one Cd(14)O6 octahedra,  an edgeedge with one Cd(16)O6 octahedra,  an edgeedge with one Cd(18)O6 octahedra,  an edgeedge with one Cd(2)O6 octahedra,  an edgeedge with one Cd(24)O6 octahedra,  an edgeedge with one Cd(34)O6 octahedra,  an edgeedge with one Cd(36)O6 octahedra,  an edgeedge with one Cd(6)O6 octahedra, and edges with two equivalent Cd(26)O6 octahedra. The corner-sharing octahedral tilt angles range from 1-4°. In the thirty-first Cd site, Cd(31) is bonded to one O(10), one O(15), one O(2), one O(27), one O(35), and one O(39) atom to form CdO6 octahedra that share  a cornercorner with one Mn(3)O6 octahedra,  a cornercorner with one Cd(9)O6 octahedra, corners with two equivalent Cd(23)O6 octahedra, corners with two equivalent Cd(6)O6 octahedra,  an edgeedge with one Mn(4)O6 octahedra,  an edgeedge with one Cd(11)O6 octahedra,  an edgeedge with one Cd(14)O6 octahedra,  an edgeedge with one Cd(15)O6 octahedra,  an edgeedge with one Cd(19)O6 octahedra,  an edgeedge with one Cd(22)O6 octahedra,  an edgeedge with one Cd(3)O6 octahedra,  an edgeedge with one Cd(34)O6 octahedra,  an edgeedge with one Cd(35)O6 octahedra,  an edgeedge with one Cd(7)O6 octahedra, and edges with two equivalent Cd(27)O6 octahedra. The corner-sharing octahedral tilt angles range from 0-5°. In the thirty-second Cd site, Cd(32) is bonded to one O(1), one O(16), one O(28), one O(36), one O(40), and one O(9) atom to form CdO6 octahedra that share  a cornercorner with one Mn(1)O6 octahedra,  a cornercorner with one Cd(10)O6 octahedra, corners with two equivalent Cd(24)O6 octahedra, corners with two equivalent Cd(5)O6 octahedra,  an edgeedge with one Mn(2)O6 octahedra,  an edgeedge with one Cd(12)O6 octahedra,  an edgeedge with one Cd(13)O6 octahedra,  an edgeedge with one Cd(16)O6 octahedra,  an edgeedge with one Cd(20)O6 octahedra,  an edgeedge with one Cd(21)O6 octahedra,  an edgeedge with one Cd(33)O6 octahedra,  an edgeedge with one Cd(36)O6 octahedra,  an edgeedge with one Cd(4)O6 octahedra,  an edgeedge with one Cd(8)O6 octahedra, and edges with two equivalent Cd(28)O6 octahedra. The corner-sharing octahedral tilt angles range from 0-5°. In the thirty-third Cd site, Cd(33) is bonded to one O(16), one O(29), one O(33), one O(37), one O(8), and one O(9) atom to form CdO6 octahedra that share  a cornercorner with one Mn(2)O6 octahedra,  a cornercorner with one Cd(7)O6 octahedra, corners with two equivalent Cd(12)O6 octahedra, corners with two equivalent Cd(25)O6 octahedra,  an edgeedge with one Mn(1)O6 octahedra,  an edgeedge with one Cd(1)O6 octahedra,  an edgeedge with one Cd(13)O6 octahedra,  an edgeedge with one Cd(17)O6 octahedra,  an edgeedge with one Cd(20)O6 octahedra,  an edgeedge with one Cd(28)O6 octahedra,  an edgeedge with one Cd(29)O6 octahedra,  an edgeedge with one Cd(32)O6 octahedra,  an edgeedge with one Cd(5)O6 octahedra,  an edgeedge with one Cd(9)O6 octahedra, and edges with two equivalent Cd(21)O6 octahedra. The corner-sharing octahedral tilt angles range from 0-5°. In the thirty-fourth Cd site, Cd(34) is bonded to one O(10), one O(15), one O(30), one O(34), one O(38), and one O(7) atom to form CdO6 octahedra that share  a cornercorner with one Mn(4)O6 octahedra,  a cornercorner with one Cd(8)O6 octahedra, corners with two equivalent Cd(11)O6 octahedra, corners with two equivalent Cd(26)O6 octahedra,  an edgeedge with one Mn(3)O6 octahedra,  an edgeedge with one Cd(10)O6 octahedra,  an edgeedge with one Cd(14)O6 octahedra,  an edgeedge with one Cd(18)O6 octahedra,  an edgeedge with one Cd(19)O6 octahedra,  an edgeedge with one Cd(2)O6 octahedra,  an edgeedge with one Cd(27)O6 octahedra,  an edgeedge with one Cd(30)O6 octahedra,  an edgeedge with one Cd(31)O6 octahedra,  an edgeedge with one Cd(6)O6 octahedra, and edges with two equivalent Cd(22)O6 octahedra. The corner-sharing octahedral tilt angles range from 1-4°. In the thirty-fifth Cd site, Cd(35) is bonded to one O(11), one O(13), one O(31), one O(35), one O(39), and one O(5) atom to form CdO6 octahedra that share  a cornercorner with one Mn(1)O6 octahedra,  a cornercorner with one Cd(6)O6 octahedra, corners with two equivalent Cd(27)O6 octahedra, corners with two equivalent Cd(9)O6 octahedra,  an edgeedge with one Mn(4)O6 octahedra,  an edgeedge with one Cd(11)O6 octahedra,  an edgeedge with one Cd(15)O6 octahedra,  an edgeedge with one Cd(17)O6 octahedra,  an edgeedge with one Cd(19)O6 octahedra,  an edgeedge with one Cd(25)O6 octahedra,  an edgeedge with one Cd(29)O6 octahedra,  an edgeedge with one Cd(3)O6 octahedra,  an edgeedge with one Cd(31)O6 octahedra,  an edgeedge with one Cd(7)O6 octahedra, and edges with two equivalent Cd(23)O6 octahedra. The corner-sharing octahedral tilt angles range from 0-5°. In the thirty-sixth Cd site, Cd(36) is bonded to one O(12), one O(14), one O(32), one O(36), one O(40), and one O(6) atom to form CdO6 octahedra that share  a cornercorner with one Mn(3)O6 octahedra,  a cornercorner with one Cd(5)O6 octahedra, corners with two equivalent Cd(10)O6 octahedra, corners with two equivalent Cd(28)O6 octahedra,  an edgeedge with one Mn(2)O6 octahedra,  an edgeedge with one Cd(12)O6 octahedra,  an edgeedge with one Cd(16)O6 octahedra,  an edgeedge with one Cd(18)O6 octahedra,  an edgeedge with one Cd(20)O6 octahedra,  an edgeedge with one Cd(26)O6 octahedra,  an edgeedge with one Cd(30)O6 octahedra,  an edgeedge with one Cd(32)O6 octahedra,  an edgeedge with one Cd(4)O6 octahedra,  an edgeedge with one Cd(8)O6 octahedra, and edges with two equivalent Cd(24)O6 octahedra. The corner-sharing octahedral tilt angles range from 0-5°. There are forty inequivalent O sites. In the first O site, O(1) is bonded to one Cd(13), one Cd(21), one Cd(28), one Cd(32), one Cd(4), and one Cd(5) atom to form OCd6 octahedra that share  a cornercorner with one O(6)Cd6 octahedra,  a cornercorner with one O(21)MnCd5 octahedra, corners with two equivalent O(40)Cd6 octahedra, corners with two equivalent O(25)MnCd5 octahedra,  an edgeedge with one O(33)Cd6 octahedra,  an edgeedge with one O(36)Cd6 octahedra,  an edgeedge with one O(37)Cd6 octahedra,  an edgeedge with one O(8)Cd6 octahedra,  an edgeedge with one O(16)MnCd5 octahedra,  an edgeedge with one O(17)MnCd5 octahedra,  an edgeedge with one O(20)MnCd5 octahedra,  an edgeedge with one O(24)MnCd5 octahedra,  an edgeedge with one O(28)MnCd5 octahedra,  an edgeedge with one O(32)MnCd5 octahedra, and edges with two equivalent O(9)MnCd5 octahedra. The corner-sharing octahedral tilt angles range from 0-3°. In the second O site, O(2) is bonded to one Cd(14), one Cd(22), one Cd(27), one Cd(3), one Cd(31), and one Cd(6) atom to form OCd6 octahedra that share  a cornercorner with one O(5)Cd6 octahedra,  a cornercorner with one O(22)MnCd5 octahedra, corners with two equivalent O(39)Cd6 octahedra, corners with two equivalent O(26)MnCd5 octahedra,  an edgeedge with one O(34)Cd6 octahedra,  an edgeedge with one O(35)Cd6 octahedra,  an edgeedge with one O(38)Cd6 octahedra,  an edgeedge with one O(7)Cd6 octahedra,  an edgeedge with one O(15)MnCd5 octahedra,  an edgeedge with one O(18)MnCd5 octahedra,  an edgeedge with one O(19)MnCd5 octahedra,  an edgeedge with one O(23)MnCd5 octahedra,  an edgeedge with one O(27)MnCd5 octahedra,  an edgeedge with one O(31)MnCd5 octahedra, and edges with two equivalent O(10)MnCd5 octahedra. The corner-sharing octahedral tilt angles range from 0-3°. In the third O site, O(3) is bonded to one Cd(1), one Cd(15), one Cd(23), one Cd(25), one Cd(29), and one Cd(7) atom to form OCd6 octahedra that share  a cornercorner with one O(8)Cd6 octahedra,  a cornercorner with one O(23)MnCd5 octahedra, corners with two equivalent O(37)Cd6 octahedra, corners with two equivalent O(27)MnCd5 octahedra,  an edgeedge with one O(33)Cd6 octahedra,  an edgeedge with one O(35)Cd6 octahedra,  an edgeedge with one O(39)Cd6 octahedra,  an edgeedge with one O(5)Cd6 octahedra,  an edgeedge with one O(13)MnCd5 octahedra,  an edgeedge with one O(17)MnCd5 octahedra,  an edgeedge with one O(19)MnCd5 octahedra,  an edgeedge with one O(21)MnCd5 octahedra,  an edgeedge with one O(25)MnCd5 octahedra,  an edgeedge with one O(29)MnCd5 octahedra, and edges with two equivalent O(11)MnCd5 octahedra. The corner-sharing octahedral tilt angles range from 0-4°. In the fourth O site, O(4) is bonded to one Cd(16), one Cd(2), one Cd(24), one Cd(26), one Cd(30), and one Cd(8) atom to form OCd6 octahedra that share  a cornercorner with one O(7)Cd6 octahedra,  a cornercorner with one O(24)MnCd5 octahedra, corners with two equivalent O(38)Cd6 octahedra, corners with two equivalent O(28)MnCd5 octahedra,  an edgeedge with one O(34)Cd6 octahedra,  an edgeedge with one O(36)Cd6 octahedra,  an edgeedge with one O(40)Cd6 octahedra,  an edgeedge with one O(6)Cd6 octahedra,  an edgeedge with one O(14)MnCd5 octahedra,  an edgeedge with one O(18)MnCd5 octahedra,  an edgeedge with one O(20)MnCd5 octahedra,  an edgeedge with one O(22)MnCd5 octahedra,  an edgeedge with one O(26)MnCd5 octahedra,  an edgeedge with one O(30)MnCd5 octahedra, and edges with two equivalent O(12)MnCd5 octahedra. The corner-sharing octahedral tilt angles range from 0-3°. In the fifth O site, O(5) is bonded to one Cd(17), one Cd(23), one Cd(25), one Cd(3), one Cd(35), and one Cd(9) atom to form OCd6 octahedra that share  a cornercorner with one O(2)Cd6 octahedra,  a cornercorner with one O(17)MnCd5 octahedra, corners with two equivalent O(35)Cd6 octahedra, corners with two equivalent O(29)MnCd5 octahedra,  an edgeedge with one O(3)Cd6 octahedra,  an edgeedge with one O(33)Cd6 octahedra,  an edgeedge with one O(37)Cd6 octahedra,  an edgeedge with one O(39)Cd6 octahedra,  an edgeedge with one O(11)MnCd5 octahedra,  an edgeedge with one O(19)MnCd5 octahedra,  an edgeedge with one O(21)MnCd5 octahedra,  an edgeedge with one O(23)MnCd5 octahedra,  an edgeedge with one O(27)MnCd5 octahedra,  an edgeedge with one O(31)MnCd5 octahedra, and edges with two equivalent O(13)MnCd5 octahedra. The corner-sharing octahedral tilt angles range from 0-3°. In the sixth O site, O(6) is bonded to one Cd(10), one Cd(18), one Cd(24), one Cd(26), one Cd(36), and one Cd(4) atom to form OCd6 octahedra that share  a cornercorner with one O(1)Cd6 octahedra,  a cornercorner with one O(18)MnCd5 octahedra, corners with two equivalent O(36)Cd6 octahedra, corners with two equivalent O(30)MnCd5 octahedra,  an edgeedge with one O(34)Cd6 octahedra,  an edgeedge with one O(38)Cd6 octahedra,  an edgeedge with one O(4)Cd6 octahedra,  an edgeedge with one O(40)Cd6 octahedra,  an edgeedge with one O(12)MnCd5 octahedra,  an edgeedge with one O(20)MnCd5 octahedra,  an edgeedge with one O(22)MnCd5 octahedra,  an edgeedge with one O(24)MnCd5 octahedra,  an edgeedge with one O(28)MnCd5 octahedra,  an edgeedge with one O(32)MnCd5 octahedra, and edges with two equivalent O(14)MnCd5 octahedra. The corner-sharing octahedral tilt angles range from 0-3°. In the seventh O site, O(7) is bonded to one Cd(11), one Cd(19), one Cd(2), one Cd(22), one Cd(27), and one Cd(34) atom to form OCd6 octahedra that share  a cornercorner with one O(4)Cd6 octahedra,  a cornercorner with one O(19)MnCd5 octahedra, corners with two equivalent O(34)Cd6 octahedra, corners with two equivalent O(31)MnCd5 octahedra,  an edgeedge with one O(2)Cd6 octahedra,  an edgeedge with one O(35)Cd6 octahedra,  an edgeedge with one O(38)Cd6 octahedra,  an edgeedge with one O(39)Cd6 octahedra,  an edgeedge with one O(10)MnCd5 octahedra,  an edgeedge with one O(18)MnCd5 octahedra,  an edgeedge with one O(22)MnCd5 octahedra,  an edgeedge with one O(23)MnCd5 octahedra,  an edgeedge with one O(26)MnCd5 octahedra,  an edgeedge with one O(30)MnCd5 octahedra, and edges with two equivalent O(15)MnCd5 octahedra. The corner-sharing octahedral tilt angles range from 0-4°. In the eighth O site, O(8) is bonded to one Cd(1), one Cd(12), one Cd(20), one Cd(21), one Cd(28), and one Cd(33) atom to form OCd6 octahedra that share  a cornercorner with one O(3)Cd6 octahedra,  a cornercorner with one O(20)MnCd5 octahedra, corners with two equivalent O(33)Cd6 octahedra, corners with two equivalent O(32)MnCd5 octahedra,  an edgeedge with one O(1)Cd6 octahedra,  an edgeedge with one O(36)Cd6 octahedra,  an edgeedge with one O(37)Cd6 octahedra,  an edgeedge with one O(40)Cd6 octahedra,  an edgeedge with one O(17)MnCd5 octahedra,  an edgeedge with one O(21)MnCd5 octahedra,  an edgeedge with one O(24)MnCd5 octahedra,  an edgeedge with one O(25)MnCd5 octahedra,  an edgeedge with one O(29)MnCd5 octahedra,  an edgeedge with one O(9)MnCd5 octahedra, and edges with two equivalent O(16)MnCd5 octahedra. The corner-sharing octahedral tilt angles range from 0-3°. In the ninth O site, O(9) is bonded to one Mn(2), one Cd(13), one Cd(28), one Cd(32), one Cd(33), and one Cd(5) atom to form OMnCd5 octahedra that share  a cornercorner with one O(14)MnCd5 octahedra,  a cornercorner with one O(29)MnCd5 octahedra, corners with two equivalent O(36)Cd6 octahedra, corners with two equivalent O(17)MnCd5 octahedra,  an edgeedge with one O(33)Cd6 octahedra,  an edgeedge with one O(37)Cd6 octahedra,  an edgeedge with one O(40)Cd6 octahedra,  an edgeedge with one O(8)Cd6 octahedra,  an edgeedge with one O(16)MnCd5 octahedra,  an edgeedge with one O(20)MnCd5 octahedra,  an edgeedge with one O(24)MnCd5 octahedra,  an edgeedge with one O(25)MnCd5 octahedra,  an edgeedge with one O(28)MnCd5 octahedra,  an edgeedge with one O(32)MnCd5 octahedra, and edges with two equivalent O(1)Cd6 octahedra. The corner-sharing octahedral tilt angles range from 0-3°. In the tenth O site, O(10) is bonded to one Mn(4), one Cd(14), one Cd(27), one Cd(31), one Cd(34), and one Cd(6) atom to form OMnCd5 octahedra that share  a cornercorner with one O(13)MnCd5 octahedra,  a cornercorner with one O(30)MnCd5 octahedra, corners with two equivalent O(35)Cd6 octahedra, corners with two equivalent O(18)MnCd5 octahedra,  an edgeedge with one O(34)Cd6 octahedra,  an edgeedge with one O(38)Cd6 octahedra,  an edgeedge with one O(39)Cd6 octahedra,  an edgeedge with one O(7)Cd6 octahedra,  an edgeedge with one O(15)MnCd5 octahedra,  an edgeedge with one O(19)MnCd5 octahedra,  an edgeedge with one O(23)MnCd5 octahedra,  an edgeedge with one O(26)MnCd5 octahedra,  an edgeedge with one O(27)MnCd5 octahedra,  an edgeedge with one O(31)MnCd5 octahedra, and edges with two equivalent O(2)Cd6 octahedra. The corner-sharing octahedral tilt angles range from 0-4°. In the eleventh O site, O(11) is bonded to one Mn(1), one Cd(15), one Cd(25), one Cd(29), one Cd(35), and one Cd(7) atom to form OMnCd5 octahedra that share  a cornercorner with one O(16)MnCd5 octahedra,  a cornercorner with one O(31)MnCd5 octahedra, corners with two equivalent O(33)Cd6 octahedra, corners with two equivalent O(19)MnCd5 octahedra,  an edgeedge with one O(35)Cd6 octahedra,  an edgeedge with one O(37)Cd6 octahedra,  an edgeedge with one O(39)Cd6 octahedra,  an edgeedge with one O(5)Cd6 octahedra,  an edgeedge with one O(13)MnCd5 octahedra,  an edgeedge with one O(17)MnCd5 octahedra,  an edgeedge with one O(21)MnCd5 octahedra,  an edgeedge with one O(25)MnCd5 octahedra,  an edgeedge with one O(27)MnCd5 octahedra,  an edgeedge with one O(29)MnCd5 octahedra, and edges with two equivalent O(3)Cd6 octahedra. The corner-sharing octahedral tilt angles range from 0-3°. In the twelfth O site, O(12) is bonded to one Mn(3), one Cd(16), one Cd(26), one Cd(30), one Cd(36), and one Cd(8) atom to form OMnCd5 octahedra that share  a cornercorner with one O(15)MnCd5 octahedra,  a cornercorner with one O(32)MnCd5 octahedra, corners with two equivalent O(34)Cd6 octahedra, corners with two equivalent O(20)MnCd5 octahedra,  an edgeedge with one O(36)Cd6 octahedra,  an edgeedge with one O(38)Cd6 octahedra,  an edgeedge with one O(40)Cd6 octahedra,  an edgeedge with one O(6)Cd6 octahedra,  an edgeedge with one O(14)MnCd5 octahedra,  an edgeedge with one O(18)MnCd5 octahedra,  an edgeedge with one O(22)MnCd5 octahedra,  an edgeedge with one O(26)MnCd5 octahedra,  an edgeedge with one O(28)MnCd5 octahedra,  an edgeedge with one O(30)MnCd5 octahedra, and edges with two equivalent O(4)Cd6 octahedra. The corner-sharing octahedral tilt angles range from 0-3°. In the thirteenth O site, O(13) is bonded to one Mn(4), one Cd(17), one Cd(23), one Cd(29), one Cd(35), and one Cd(9) atom to form OMnCd5 octahedra that share  a cornercorner with one O(10)MnCd5 octahedra,  a cornercorner with one O(25)MnCd5 octahedra, corners with two equivalent O(39)Cd6 octahedra, corners with two equivalent O(21)MnCd5 octahedra,  an edgeedge with one O(3)Cd6 octahedra,  an edgeedge with one O(33)Cd6 octahedra,  an edgeedge with one O(35)Cd6 octahedra,  an edgeedge with one O(37)Cd6 octahedra,  an edgeedge with one O(11)MnCd5 octahedra,  an edgeedge with one O(19)MnCd5 octahedra,  an edgeedge with one O(23)MnCd5 octahedra,  an edgeedge with one O(27)MnCd5 octahedra,  an edgeedge with one O(29)MnCd5 octahedra,  an edgeedge with one O(31)MnCd5 octahedra, and edges with two equivalent O(5)Cd6 octahedra. The corner-sharing octahedral tilt angles range from 0-3°. In the fourteenth O site, O(14) is bonded to one Mn(2), one Cd(10), one Cd(18), one Cd(24), one Cd(30), and one Cd(36) atom to form OMnCd5 octahedra that share  a cornercorner with one O(26)MnCd5 octahedra,  a cornercorner with one O(9)MnCd5 octahedra, corners with two equivalent O(40)Cd6 octahedra, corners with two equivalent O(22)MnCd5 octahedra,  an edgeedge with one O(34)Cd6 octahedra,  an edgeedge with one O(36)Cd6 octahedra,  an edgeedge with one O(38)Cd6 octahedra,  an edgeedge with one O(4)Cd6 octahedra,  an edgeedge with one O(12)MnCd5 octahedra,  an edgeedge with one O(20)MnCd5 octahedra,  an edgeedge with one O(24)MnCd5 octahedra,  an edgeedge with one O(28)MnCd5 octahedra,  an edgeedge with one O(30)MnCd5 octahedra,  an edgeedge with one O(32)MnCd5 octahedra, and edges with two equivalent O(6)Cd6 octahedra. The corner-sharing octahedral tilt angles range from 0-3°. In the fifteenth O site, O(15) is bonded to one Mn(3), one Cd(11), one Cd(19), one Cd(22), one Cd(31), and one Cd(34) atom to form OMnCd5 octahedra that share  a cornercorner with one O(12)MnCd5 octahedra,  a cornercorner with one O(27)MnCd5 octahedra, corners with two equivalent O(38)Cd6 octahedra, corners with two equivalent O(23)MnCd5 octahedra,  an edgeedge with one O(2)Cd6 octahedra,  an edgeedge with one O(34)Cd6 octahedra,  an edgeedge with one O(35)Cd6 octahedra,  an edgeedge with one O(39)Cd6 octahedra,  an edgeedge with one O(10)MnCd5 octahedra,  an edgeedge with one O(18)MnCd5 octahedra,  an edgeedge with one O(22)MnCd5 octahedra,  an edgeedge with one O(26)MnCd5 octahedra,  an edgeedge with one O(30)MnCd5 octahedra,  an edgeedge with one O(31)MnCd5 octahedra, and edges with two equivalent O(7)Cd6 octahedra. The corner-sharing octahedral tilt angles range from 0-3°. In the sixteenth O site, O(16) is bonded to one Mn(1), one Cd(12), one Cd(20), one Cd(21), one Cd(32), and one Cd(33) atom to form OMnCd5 octahedra that share  a cornercorner with one O(11)MnCd5 octahedra,  a cornercorner with one O(28)MnCd5 octahedra, corners with two equivalent O(37)Cd6 octahedra, corners with two equivalent O(24)MnCd5 octahedra,  an edgeedge with one O(1)Cd6 octahedra,  an edgeedge with one O(33)Cd6 octahedra,  an edgeedge with one O(36)Cd6 octahedra,  an edgeedge with one O(40)Cd6 octahedra,  an edgeedge with one O(17)MnCd5 octahedra,  an edgeedge with one O(21)MnCd5 octahedra,  an edgeedge with one O(25)MnCd5 octahedra,  an edgeedge with one O(29)MnCd5 octahedra,  an edgeedge with one O(32)MnCd5 octahedra,  an edgeedge with one O(9)MnCd5 octahedra, and edges with two equivalent O(8)Cd6 octahedra. The corner-sharing octahedral tilt angles range from 0-3°. In the seventeenth O site, O(17) is bonded to one Mn(1), one Cd(1), one Cd(13), one Cd(20), one Cd(25), and one Cd(5) atom to form OMnCd5 octahedra that share  a cornercorner with one O(40)Cd6 octahedra,  a cornercorner with one O(5)Cd6 octahedra, corners with two equivalent O(21)MnCd5 octahedra, corners with two equivalent O(9)MnCd5 octahedra,  an edgeedge with one O(1)Cd6 octahedra,  an edgeedge with one O(3)Cd6 octahedra,  an edgeedge with one O(33)Cd6 octahedra,  an edgeedge with one O(37)Cd6 octahedra,  an edgeedge with one O(8)Cd6 octahedra,  an edgeedge with one O(11)MnCd5 octahedra,  an edgeedge with one O(16)MnCd5 octahedra,  an edgeedge with one O(24)MnCd5 octahedra,  an edgeedge with one O(29)MnCd5 octahedra,  an edgeedge with one O(32)MnCd5 octahedra, and edges with two equivalent O(25)MnCd5 octahedra. The corner-sharing octahedral tilt angles range from 0-3°. In the eighteenth O site, O(18) is bonded to one Mn(3), one Cd(14), one Cd(19), one Cd(2), one Cd(26), and one Cd(6) atom to form OMnCd5 octahedra that share  a cornercorner with one O(39)Cd6 octahedra,  a cornercorner with one O(6)Cd6 octahedra, corners with two equivalent O(10)MnCd5 octahedra, corners with two equivalent O(22)MnCd5 octahedra,  an edgeedge with one O(2)Cd6 octahedra,  an edgeedge with one O(34)Cd6 octahedra,  an edgeedge with one O(38)Cd6 octahedra,  an edgeedge with one O(4)Cd6 octahedra,  an edgeedge with one O(7)Cd6 octahedra,  an edgeedge with one O(12)MnCd5 octahedra,  an edgeedge with one O(15)MnCd5 octahedra,  an edgeedge with one O(23)MnCd5 octahedra,  an edgeedge with one O(30)MnCd5 octahedra,  an edgeedge with one O(31)MnCd5 octahedra, and edges with two equivalent O(26)MnCd5 octahedra. The corner-sharing octahedral tilt angles range from 0-3°. In the nineteenth O site, O(19) is bonded to one Mn(4), one Cd(15), one Cd(17), one Cd(27), one Cd(3), and one Cd(7) atom to form OMnCd5 octahedra that share  a cornercorner with one O(37)Cd6 octahedra,  a cornercorner with one O(7)Cd6 octahedra, corners with two equivalent O(11)MnCd5 octahedra, corners with two equivalent O(23)MnCd5 octahedra,  an edgeedge with one O(2)Cd6 octahedra,  an edgeedge with one O(3)Cd6 octahedra,  an edgeedge with one O(35)Cd6 octahedra,  an edgeedge with one O(39)Cd6 octahedra,  an edgeedge with one O(5)Cd6 octahedra,  an edgeedge with one O(10)MnCd5 octahedra,  an edgeedge with one O(13)MnCd5 octahedra,  an edgeedge with one O(21)MnCd5 octahedra,  an edgeedge with one O(29)MnCd5 octahedra,  an edgeedge with one O(31)MnCd5 octahedra, and edges with two equivalent O(27)MnCd5 octahedra. The corner-sharing octahedral tilt angles range from 0-3°. In the twentieth O site, O(20) is bonded to one Mn(2), one Cd(16), one Cd(18), one Cd(28), one Cd(4), and one Cd(8) atom to form OMnCd5 octahedra that share  a cornercorner with one O(38)Cd6 octahedra,  a cornercorner with one O(8)Cd6 octahedra, corners with two equivalent O(12)MnCd5 octahedra, corners with two equivalent O(24)MnCd5 octahedra,  an edgeedge with one O(1)Cd6 octahedra,  an edgeedge with one O(36)Cd6 octahedra,  an edgeedge with one O(4)Cd6 octahedra,  an edgeedge with one O(40)Cd6 octahedra,  an edgeedge with one O(6)Cd6 octahedra,  an edgeedge with one O(14)MnCd5 octahedra,  an edgeedge with one O(22)MnCd5 octahedra,  an edgeedge with one O(30)MnCd5 octahedra,  an edgeedge with one O(32)MnCd5 octahedra,  an edgeedge with one O(9)MnCd5 octahedra, and edges with two equivalent O(28)MnCd5 octahedra. The corner-sharing octahedral tilt angles range from 0-3°. In the twenty-first O site, O(21) is bonded to one Mn(1), one Cd(1), one Cd(15), one Cd(17), one Cd(21), and one Cd(9) atom to form OMnCd5 octahedra that share  a cornercorner with one O(1)Cd6 octahedra,  a cornercorner with one O(35)Cd6 octahedra, corners with two equivalent O(13)MnCd5 octahedra, corners with two equivalent O(17)MnCd5 octahedra,  an edgeedge with one O(3)Cd6 octahedra,  an edgeedge with one O(33)Cd6 octahedra,  an edgeedge with one O(37)Cd6 octahedra,  an edgeedge with one O(5)Cd6 octahedra,  an edgeedge with one O(8)Cd6 octahedra,  an edgeedge with one O(11)MnCd5 octahedra,  an edgeedge with one O(16)MnCd5 octahedra,  an edgeedge with one O(19)MnCd5 octahedra,  an edgeedge with one O(25)MnCd5 octahedra,  an edgeedge with one O(27)MnCd5 octahedra, and edges with two equivalent O(29)MnCd5 octahedra. The corner-sharing octahedral tilt angles range from 0-3°. In the twenty-second O site, O(22) is bonded to one Mn(3), one Cd(10), one Cd(16), one Cd(18), one Cd(2), and one Cd(22) atom to form OMnCd5 octahedra that share  a cornercorner with one O(2)Cd6 octahedra,  a cornercorner with one O(36)Cd6 octahedra, corners with two equivalent O(14)MnCd5 octahedra, corners with two equivalent O(18)MnCd5 octahedra,  an edgeedge with one O(34)Cd6 octahedra,  an edgeedge with one O(38)Cd6 octahedra,  an edgeedge with one O(4)Cd6 octahedra,  an edgeedge with one O(6)Cd6 octahedra,  an edgeedge with one O(7)Cd6 octahedra,  an edgeedge with one O(12)MnCd5 octahedra,  an edgeedge with one O(15)MnCd5 octahedra,  an edgeedge with one O(20)MnCd5 octahedra,  an edgeedge with one O(26)MnCd5 octahedra,  an edgeedge with one O(28)MnCd5 octahedra, and edges with two equivalent O(30)MnCd5 octahedra. The corner-sharing octahedral tilt angles range from 0-3°. In the twenty-third O site, O(23) is bonded to one Mn(4), one Cd(11), one Cd(14), one Cd(19), one Cd(23), and one Cd(3) atom to form OMnCd5 octahedra that share  a cornercorner with one O(3)Cd6 octahedra,  a cornercorner with one O(34)Cd6 octahedra, corners with two equivalent O(15)MnCd5 octahedra, corners with two equivalent O(19)MnCd5 octahedra,  an edgeedge with one O(2)Cd6 octahedra,  an edgeedge with one O(35)Cd6 octahedra,  an edgeedge with one O(39)Cd6 octahedra,  an edgeedge with one O(5)Cd6 octahedra,  an edgeedge with one O(7)Cd6 octahedra,  an edgeedge with one O(10)MnCd5 octahedra,  an edgeedge with one O(13)MnCd5 octahedra,  an edgeedge with one O(18)MnCd5 octahedra,  an edgeedge with one O(26)MnCd5 octahedra,  an edgeedge with one O(27)MnCd5 octahedra, and edges with two equivalent O(31)MnCd5 octahedra. The corner-sharing octahedral tilt angles range from 0-3°. In the twenty-fourth O site, O(24) is bonded to one Mn(2), one Cd(12), one Cd(13), one Cd(20), one Cd(24), and one Cd(4) atom to form OMnCd5 octahedra that share  a cornercorner with one O(33)Cd6 octahedra,  a cornercorner with one O(4)Cd6 octahedra, corners with two equivalent O(16)MnCd5 octahedra, corners with two equivalent O(20)MnCd5 octahedra,  an edgeedge with one O(1)Cd6 octahedra,  an edgeedge with one O(36)Cd6 octahedra,  an edgeedge with one O(40)Cd6 octahedra,  an edgeedge with one O(6)Cd6 octahedra,  an edgeedge with one O(8)Cd6 octahedra,  an edgeedge with one O(14)MnCd5 octahedra,  an edgeedge with one O(17)MnCd5 octahedra,  an edgeedge with one O(25)MnCd5 octahedra,  an edgeedge with one O(28)MnCd5 octahedra,  an edgeedge with one O(9)MnCd5 octahedra, and edges with two equivalent O(32)MnCd5 octahedra. The corner-sharing octahedral tilt angles range from 0-3°. In the twenty-fifth O site, O(25) is bonded to one Mn(1), one Cd(1), one Cd(12), one Cd(13), one Cd(29), and one Cd(5) atom to form OMnCd5 octahedra that share  a cornercorner with one O(36)Cd6 octahedra,  a cornercorner with one O(13)MnCd5 octahedra, corners with two equivalent O(1)Cd6 octahedra, corners with two equivalent O(29)MnCd5 octahedra,  an edgeedge with one O(3)Cd6 octahedra,  an edgeedge with one O(33)Cd6 octahedra,  an edgeedge with one O(37)Cd6 octahedra,  an edgeedge with one O(8)Cd6 octahedra,  an edgeedge with one O(11)MnCd5 octahedra,  an edgeedge with one O(16)MnCd5 octahedra,  an edgeedge with one O(21)MnCd5 octahedra,  an edgeedge with one O(24)MnCd5 octahedra,  an edgeedge with one O(32)MnCd5 octahedra,  an edgeedge with one O(9)MnCd5 octahedra, and edges with two equivalent O(17)MnCd5 octahedra. The corner-sharing octahedral tilt angles range from 0-3°. In the twenty-sixth O site, O(26) is bonded to one Mn(3), one Cd(11), one Cd(14), one Cd(2), one Cd(30), and one Cd(6) atom to form OMnCd5 octahedra that share  a cornercorner with one O(35)Cd6 octahedra,  a cornercorner with one O(14)MnCd5 octahedra, corners with two equivalent O(2)Cd6 octahedra, corners with two equivalent O(30)MnCd5 octahedra,  an edgeedge with one O(34)Cd6 octahedra,  an edgeedge with one O(38)Cd6 octahedra,  an edgeedge with one O(4)Cd6 octahedra,  an edgeedge with one O(7)Cd6 octahedra,  an edgeedge with one O(10)MnCd5 octahedra,  an edgeedge with one O(12)MnCd5 octahedra,  an edgeedge with one O(15)MnCd5 octahedra,  an edgeedge with one O(22)MnCd5 octahedra,  an edgeedge with one O(23)MnCd5 octahedra,  an edgeedge with one O(31)MnCd5 octahedra, and edges with two equivalent O(18)MnCd5 octahedra. The corner-sharing octahedral tilt angles range from 0-3°. In the twenty-seventh O site, O(27) is bonded to one Mn(4), one Cd(15), one Cd(3), one Cd(31), one Cd(7), and one Cd(9) atom to form OMnCd5 octahedra that share  a cornercorner with one O(33)Cd6 octahedra,  a cornercorner with one O(15)MnCd5 octahedra, corners with two equivalent O(3)Cd6 octahedra, corners with two equivalent O(31)MnCd5 octahedra,  an edgeedge with one O(2)Cd6 octahedra,  an edgeedge with one O(35)Cd6 octahedra,  an edgeedge with one O(39)Cd6 octahedra,  an edgeedge with one O(5)Cd6 octahedra,  an edgeedge with one O(10)MnCd5 octahedra,  an edgeedge with one O(11)MnCd5 octahedra,  an edgeedge with one O(13)MnCd5 octahedra,  an edgeedge with one O(21)MnCd5 octahedra,  an edgeedge with one O(23)MnCd5 octahedra,  an edgeedge with one O(29)MnCd5 octahedra, and edges with two equivalent O(19)MnCd5 octahedra. The corner-sharing octahedral tilt angles range from 0-4°. In the twenty-eighth O site, O(28) is bonded to one Mn(2), one Cd(10), one Cd(16), one Cd(32), one Cd(4), and one Cd(8) atom to form OMnCd5 octahedra that share  a cornercorner with one O(34)Cd6 octahedra,  a cornercorner with one O(16)MnCd5 octahedra, corners with two equivalent O(4)Cd6 octahedra, corners with two equivalent O(32)MnCd5 octahedra,  an edgeedge with one O(1)Cd6 octahedra,  an edgeedge with one O(36)Cd6 octahedra,  an edgeedge with one O(40)Cd6 octahedra,  an edgeedge with one O(6)Cd6 octahedra,  an edgeedge with one O(12)MnCd5 octahedra,  an edgeedge with one O(14)MnCd5 octahedra,  an edgeedge with one O(22)MnCd5 octahedra,  an edgeedge with one O(24)MnCd5 octahedra,  an edgeedge with one O(30)MnCd5 octahedra,  an edgeedge with one O(9)MnCd5 octahedra, and edges with two equivalent O(20)MnCd5 octahedra. The corner-sharing octahedral tilt angles range from 0-3°. In the twenty-ninth O site, O(29) is bonded to one Mn(1), one Cd(1), one Cd(17), one Cd(33), one Cd(7), and one Cd(9) atom to form OMnCd5 octahedra that share  a cornercorner with one O(39)Cd6 octahedra,  a cornercorner with one O(9)MnCd5 octahedra, corners with two equivalent O(5)Cd6 octahedra, corners with two equivalent O(25)MnCd5 octahedra,  an edgeedge with one O(3)Cd6 octahedra,  an edgeedge with one O(33)Cd6 octahedra,  an edgeedge with one O(37)Cd6 octahedra,  an edgeedge with one O(8)Cd6 octahedra,  an edgeedge with one O(11)MnCd5 octahedra,  an edgeedge with one O(13)MnCd5 octahedra,  an edgeedge with one O(16)MnCd5 octahedra,  an edgeedge with one O(17)MnCd5 octahedra,  an edgeedge with one O(19)MnCd5 octahedra,  an edgeedge with one O(27)MnCd5 octahedra, and edges with two equivalent O(21)MnCd5 octahedra. The corner-sharing octahedral tilt angles range from 0-3°. In the thirtieth O site, O(30) is bonded to one Mn(3), one Cd(10), one Cd(18), one Cd(2), one Cd(34), and one Cd(8) atom to form OMnCd5 octahedra that share  a cornercorner with one O(40)Cd6 octahedra,  a cornercorner with one O(10)MnCd5 octahedra, corners with two equivalent O(6)Cd6 octahedra, corners with two equivalent O(26)MnCd5 octahedra,  an edgeedge with one O(34)Cd6 octahedra,  an edgeedge with one O(38)Cd6 octahedra,  an edgeedge with one O(4)Cd6 octahedra,  an edgeedge with one O(7)Cd6 octahedra,  an edgeedge with one O(12)MnCd5 octahedra,  an edgeedge with one O(14)MnCd5 octahedra,  an edgeedge with one O(15)MnCd5 octahedra,  an edgeedge with one O(18)MnCd5 octahedra,  an edgeedge with one O(20)MnCd5 octahedra,  an edgeedge with one O(28)MnCd5 octahedra, and edges with two equivalent O(22)MnCd5 octahedra. The corner-sharing octahedral tilt angles range from 0-3°. In the thirty-first O site, O(31) is bonded to one Mn(4), one Cd(11), one Cd(19), one Cd(3), one Cd(35), and one Cd(6) atom to form OMnCd5 octahedra that share  a cornercorner with one O(38)Cd6 octahedra,  a cornercorner with one O(11)MnCd5 octahedra, corners with two equivalent O(7)Cd6 octahedra, corners with two equivalent O(27)MnCd5 octahedra,  an edgeedge with one O(2)Cd6 octahedra,  an edgeedge with one O(35)Cd6 octahedra,  an edgeedge with one O(39)Cd6 octahedra,  an edgeedge with one O(5)Cd6 octahedra,  an edgeedge with one O(10)MnCd5 octahedra,  an edgeedge with one O(13)MnCd5 octahedra,  an edgeedge with one O(15)MnCd5 octahedra,  an edgeedge with one O(18)MnCd5 octahedra,  an edgeedge with one O(19)MnCd5 octahedra,  an edgeedge with one O(26)MnCd5 octahedra, and edges with two equivalent O(23)MnCd5 octahedra. The corner-sharing octahedral tilt angles range from 0-4°. In the thirty-second O site, O(32) is bonded to one Mn(2), one Cd(12), one Cd(20), one Cd(36), one Cd(4), and one Cd(5) atom to form OMnCd5 octahedra that share  a cornercorner with one O(37)Cd6 octahedra,  a cornercorner with one O(12)MnCd5 octahedra, corners with two equivalent O(8)Cd6 octahedra, corners with two equivalent O(28)MnCd5 octahedra,  an edgeedge with one O(1)Cd6 octahedra,  an edgeedge with one O(36)Cd6 octahedra,  an edgeedge with one O(40)Cd6 octahedra,  an edgeedge with one O(6)Cd6 octahedra,  an edgeedge with one O(14)MnCd5 octahedra,  an edgeedge with one O(16)MnCd5 octahedra,  an edgeedge with one O(17)MnCd5 octahedra,  an edgeedge with one O(20)MnCd5 octahedra,  an edgeedge with one O(25)MnCd5 octahedra,  an edgeedge with one O(9)MnCd5 octahedra, and edges with two equivalent O(24)MnCd5 octahedra. The corner-sharing octahedral tilt angles range from 0-3°. In the thirty-third O site, O(33) is bonded to one Cd(13), one Cd(21), one Cd(25), one Cd(29), one Cd(33), and one Cd(9) atom to form OCd6 octahedra that share  a cornercorner with one O(24)MnCd5 octahedra,  a cornercorner with one O(27)MnCd5 octahedra, corners with two equivalent O(8)Cd6 octahedra, corners with two equivalent O(11)MnCd5 octahedra,  an edgeedge with one O(1)Cd6 octahedra,  an edgeedge with one O(3)Cd6 octahedra,  an edgeedge with one O(5)Cd6 octahedra,  an edgeedge with one O(13)MnCd5 octahedra,  an edgeedge with one O(16)MnCd5 octahedra,  an edgeedge with one O(17)MnCd5 octahedra,  an edgeedge with one O(21)MnCd5 octahedra,  an edgeedge with one O(25)MnCd5 octahedra,  an edgeedge with one O(29)MnCd5 octahedra,  an edgeedge with one O(9)MnCd5 octahedra, and edges with two equivalent O(37)Cd6 octahedra. The corner-sharing octahedral tilt angles range from 1-3°. In the thirty-fourth O site, O(34) is bonded to one Cd(10), one Cd(14), one Cd(22), one Cd(26), one Cd(30), and one Cd(34) atom to form OCd6 octahedra that share  a cornercorner with one O(23)MnCd5 octahedra,  a cornercorner with one O(28)MnCd5 octahedra, corners with two equivalent O(7)Cd6 octahedra, corners with two equivalent O(12)MnCd5 octahedra,  an edgeedge with one O(2)Cd6 octahedra,  an edgeedge with one O(4)Cd6 octahedra,  an edgeedge with one O(6)Cd6 octahedra,  an edgeedge with one O(10)MnCd5 octahedra,  an edgeedge with one O(14)MnCd5 octahedra,  an edgeedge with one O(15)MnCd5 octahedra,  an edgeedge with one O(18)MnCd5 octahedra,  an edgeedge with one O(22)MnCd5 octahedra,  an edgeedge with one O(26)MnCd5 octahedra,  an edgeedge with one O(30)MnCd5 octahedra, and edges with two equivalent O(38)Cd6 octahedra. The corner-sharing octahedral tilt angles range from 1-3°. In the thirty-fifth O site, O(35) is bonded to one Cd(11), one Cd(15), one Cd(23), one Cd(27), one Cd(31), and one Cd(35) atom to form OCd6 octahedra that share  a cornercorner with one O(21)MnCd5 octahedra,  a cornercorner with one O(26)MnCd5 octahedra, corners with two equivalent O(5)Cd6 octahedra, corners with two equivalent O(10)MnCd5 octahedra,  an edgeedge with one O(2)Cd6 octahedra,  an edgeedge with one O(3)Cd6 octahedra,  an edgeedge with one O(7)Cd6 octahedra,  an edgeedge with one O(11)MnCd5 octahedra,  an edgeedge with one O(13)MnCd5 octahedra,  an edgeedge with one O(15)MnCd5 octahedra,  an edgeedge with one O(19)MnCd5 octahedra,  an edgeedge with one O(23)MnCd5 octahedra,  an edgeedge with one O(27)MnCd5 octahedra,  an edgeedge with one O(31)MnCd5 octahedra, and edges with two equivalent O(39)Cd6 octahedra. The corner-sharing octahedral tilt angles range from 1-4°. In the thirty-sixth O site, O(36) is bonded to one Cd(12), one Cd(16), one Cd(24), one Cd(28), one Cd(32), and one Cd(36) atom to form OCd6 octahedra that share  a cornercorner with one O(22)MnCd5 octahedra,  a cornercorner with one O(25)MnCd5 octahedra, corners with two equivalent O(6)Cd6 octahedra, corners with two equivalent O(9)MnCd5 octahedra,  an edgeedge with one O(1)Cd6 octahedra,  an edgeedge with one O(4)Cd6 octahedra,  an edgeedge with one O(8)Cd6 octahedra,  an edgeedge with one O(12)MnCd5 octahedra,  an edgeedge with one O(14)MnCd5 octahedra,  an edgeedge with one O(16)MnCd5 octahedra,  an edgeedge with one O(20)MnCd5 octahedra,  an edgeedge with one O(24)MnCd5 octahedra,  an edgeedge with one O(28)MnCd5 octahedra,  an edgeedge with one O(32)MnCd5 octahedra, and edges with two equivalent O(40)Cd6 octahedra. The corner-sharing octahedral tilt angles range from 1-3°. In the thirty-seventh O site, O(37) is bonded to one Cd(17), one Cd(21), one Cd(25), one Cd(29), one Cd(33), and one Cd(5) atom to form OCd6 octahedra that share  a cornercorner with one O(19)MnCd5 octahedra,  a cornercorner with one O(32)MnCd5 octahedra, corners with two equivalent O(3)Cd6 octahedra, corners with two equivalent O(16)MnCd5 octahedra,  an edgeedge with one O(1)Cd6 octahedra,  an edgeedge with one O(5)Cd6 octahedra,  an edgeedge with one O(8)Cd6 octahedra,  an edgeedge with one O(11)MnCd5 octahedra,  an edgeedge with one O(13)MnCd5 octahedra,  an edgeedge with one O(17)MnCd5 octahedra,  an edgeedge with one O(21)MnCd5 octahedra,  an edgeedge with one O(25)MnCd5 octahedra,  an edgeedge with one O(29)MnCd5 octahedra,  an edgeedge with one O(9)MnCd5 octahedra, and edges with two equivalent O(33)Cd6 octahedra. The corner-sharing octahedral tilt angles range from 1-3°. In the thirty-eighth O site, O(38) is bonded to one Cd(18), one Cd(22), one Cd(26), one Cd(30), one Cd(34), and one Cd(6) atom to form OCd6 octahedra that share  a cornercorner with one O(20)MnCd5 octahedra,  a cornercorner with one O(31)MnCd5 octahedra, corners with two equivalent O(4)Cd6 octahedra, corners with two equivalent O(15)MnCd5 octahedra,  an edgeedge with one O(2)Cd6 octahedra,  an edgeedge with one O(6)Cd6 octahedra,  an edgeedge with one O(7)Cd6 octahedra,  an edgeedge with one O(10)MnCd5 octahedra,  an edgeedge with one O(12)MnCd5 octahedra,  an edgeedge with one O(14)MnCd5 octahedra,  an edgeedge with one O(18)MnCd5 octahedra,  an edgeedge with one O(22)MnCd5 octahedra,  an edgeedge with one O(26)MnCd5 octahedra,  an edgeedge with one O(30)MnCd5 octahedra, and edges with two equivalent O(34)Cd6 octahedra. The corner-sharing octahedral tilt angles range from 1-3°. In the thirty-ninth O site, O(39) is bonded to one Cd(19), one Cd(23), one Cd(27), one Cd(31), one Cd(35), and one Cd(7) atom to form OCd6 octahedra that share  a cornercorner with one O(18)MnCd5 octahedra,  a cornercorner with one O(29)MnCd5 octahedra, corners with two equivalent O(2)Cd6 octahedra, corners with two equivalent O(13)MnCd5 octahedra,  an edgeedge with one O(3)Cd6 octahedra,  an edgeedge with one O(5)Cd6 octahedra,  an edgeedge with one O(7)Cd6 octahedra,  an edgeedge with one O(10)MnCd5 octahedra,  an edgeedge with one O(11)MnCd5 octahedra,  an edgeedge with one O(15)MnCd5 octahedra,  an edgeedge with one O(19)MnCd5 octahedra,  an edgeedge with one O(23)MnCd5 octahedra,  an edgeedge with one O(27)MnCd5 octahedra,  an edgeedge with one O(31)MnCd5 octahedra, and edges with two equivalent O(35)Cd6 octahedra. The corner-sharing octahedral tilt angles range from 1-3°. In the fortieth O site, O(40) is bonded to one Cd(20), one Cd(24), one Cd(28), one Cd(32), one Cd(36), and one Cd(8) atom to form OCd6 octahedra that share  a cornercorner with one O(17)MnCd5 octahedra,  a cornercorner with one O(30)MnCd5 octahedra, corners with two equivalent O(1)Cd6 octahedra, corners with two equivalent O(14)MnCd5 octahedra,  an edgeedge with one O(4)Cd6 octahedra,  an edgeedge with one O(6)Cd6 octahedra,  an edgeedge with one O(8)Cd6 octahedra,  an edgeedge with one O(12)MnCd5 octahedra,  an edgeedge with one O(16)MnCd5 octahedra,  an edgeedge with one O(20)MnCd5 octahedra,  an edgeedge with one O(24)MnCd5 octahedra,  an edgeedge with one O(28)MnCd5 octahedra,  an edgeedge with one O(32)MnCd5 octahedra,  an edgeedge with one O(9)MnCd5 octahedra, and edges with two equivalent O(36)Cd6 octahedra. The corner-sharing octahedral tilt angles range from 1-3°. is represented by the CIF card [CIF]
data_MnCd9O10
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.823
_cell_length_b   6.724
_cell_length_c   7.534
_cell_angle_alpha   102.859
_cell_angle_beta   97.528
_cell_angle_gamma   106.752
_symmetry_Int_Tables_number   1
_cell_volume   269.305
_cell_formula_units_Z   1
loop_
 _symmetry_equiv_pos_site_id
 _symmetry_equiv_pos_as_xyz
  1  'x, y, z'
loop_
 _atom_site_type_symbol
 _atom_site_label
 _atom_site_symmetry_multiplicity
 _atom_site_fract_x
 _atom_site_fract_y
 _atom_site_fract_z
 _atom_site_occupancy
  Cd  Cd0  1  0.000  0.500  1.000  1.0
  Cd  Cd1  1  0.400  0.802  0.800  1.0
  Cd  Cd2  1  0.599  0.198  0.200  1.0
  Cd  Cd3  1  0.405  0.300  0.803  1.0
  Cd  Cd4  1  0.595  0.700  0.197  1.0
  Cd  Cd5  1  0.199  0.398  0.399  1.0
  Cd  Cd6  1  0.801  0.602  0.601  1.0
  Cd  Cd7  1  0.803  0.100  0.599  1.0
  Cd  Cd8  1  0.197  0.901  0.401  1.0
  Mn  Mn9  1  0.000  1.000  0.000  1.0
  O  O10  1  0.103  0.450  0.699  1.0
  O  O11  1  0.897  0.550  0.301  1.0
  O  O12  1  0.098  0.953  0.711  1.0
  O  O13  1  0.902  0.047  0.289  1.0
  O  O14  1  0.709  0.663  0.905  1.0
  O  O15  1  0.291  0.337  0.095  1.0
  O  O16  1  0.715  0.144  0.904  1.0
  O  O17  1  0.285  0.856  0.096  1.0
  O  O18  1  0.502  0.250  0.504  1.0
  O  O19  1  0.498  0.750  0.496  1.0
[/CIF]
.
The material described by MnCd9O10 is Caswellsilverite-like structured and crystallizes in the triclinic P1 space group. There are four inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to one O(11), one O(16), one O(17), one O(21), one O(25), and one O(29) atom to form MnO6 octahedra that share  a cornercorner with one Cd(32)O6 octahedra,  a cornercorner with one Cd(35)O6 octahedra, corners with two equivalent Cd(13)O6 octahedra, corners with two equivalent Cd(17)O6 octahedra,  an edgeedge with one Cd(12)O6 octahedra,  an edgeedge with one Cd(15)O6 octahedra,  an edgeedge with one Cd(20)O6 octahedra,  an edgeedge with one Cd(21)O6 octahedra,  an edgeedge with one Cd(25)O6 octahedra,  an edgeedge with one Cd(29)O6 octahedra,  an edgeedge with one Cd(33)O6 octahedra,  an edgeedge with one Cd(5)O6 octahedra,  an edgeedge with one Cd(7)O6 octahedra,  an edgeedge with one Cd(9)O6 octahedra, and edges with two equivalent Cd(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 0-1°. In the second Mn site, Mn(2) is bonded to one O(14), one O(20), one O(24), one O(28), one O(32), and one O(9) atom to form MnO6 octahedra that share  a cornercorner with one Cd(30)O6 octahedra,  a cornercorner with one Cd(33)O6 octahedra, corners with two equivalent Cd(16)O6 octahedra, corners with two equivalent Cd(20)O6 octahedra,  an edgeedge with one Cd(10)O6 octahedra,  an edgeedge with one Cd(12)O6 octahedra,  an edgeedge with one Cd(13)O6 octahedra,  an edgeedge with one Cd(18)O6 octahedra,  an edgeedge with one Cd(24)O6 octahedra,  an edgeedge with one Cd(28)O6 octahedra,  an edgeedge with one Cd(32)O6 octahedra,  an edgeedge with one Cd(36)O6 octahedra,  an edgeedge with one Cd(5)O6 octahedra,  an edgeedge with one Cd(8)O6 octahedra, and edges with two equivalent Cd(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 0-1°. In the third Mn site, Mn(3) is bonded to one O(12), one O(15), one O(18), one O(22), one O(26), and one O(30) atom to form MnO6 octahedra that share  a cornercorner with one Cd(31)O6 octahedra,  a cornercorner with one Cd(36)O6 octahedra, corners with two equivalent Cd(14)O6 octahedra, corners with two equivalent Cd(18)O6 octahedra,  an edgeedge with one Cd(10)O6 octahedra,  an edgeedge with one Cd(11)O6 octahedra,  an edgeedge with one Cd(16)O6 octahedra,  an edgeedge with one Cd(19)O6 octahedra,  an edgeedge with one Cd(22)O6 octahedra,  an edgeedge with one Cd(26)O6 octahedra,  an edgeedge with one Cd(30)O6 octahedra,  an edgeedge with one Cd(34)O6 octahedra,  an edgeedge with one Cd(6)O6 octahedra,  an edgeedge with one Cd(8)O6 octahedra, and edges with two equivalent Cd(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 0-1°. In the fourth Mn site, Mn(4) is bonded to one O(10), one O(13), one O(19), one O(23), one O(27), and one O(31) atom to form MnO6 octahedra that share  a cornercorner with one Cd(29)O6 octahedra,  a cornercorner with one Cd(34)O6 octahedra, corners with two equivalent Cd(15)O6 octahedra, corners with two equivalent Cd(19)O6 octahedra,  an edgeedge with one Cd(11)O6 octahedra,  an edgeedge with one Cd(14)O6 octahedra,  an edgeedge with one Cd(17)O6 octahedra,  an edgeedge with one Cd(23)O6 octahedra,  an edgeedge with one Cd(27)O6 octahedra,  an edgeedge with one Cd(31)O6 octahedra,  an edgeedge with one Cd(35)O6 octahedra,  an edgeedge with one Cd(6)O6 octahedra,  an edgeedge with one Cd(7)O6 octahedra,  an edgeedge with one Cd(9)O6 octahedra, and edges with two equivalent Cd(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 0-1°. There are thirty-six inequivalent Cd sites. In the first Cd site, Cd(1) is bonded to one O(17), one O(21), one O(25), one O(29), one O(3), and one O(8) atom to form CdO6 octahedra that share  a cornercorner with one Cd(23)O6 octahedra,  a cornercorner with one Cd(28)O6 octahedra, corners with two equivalent Cd(5)O6 octahedra, corners with two equivalent Cd(9)O6 octahedra,  an edgeedge with one Cd(12)O6 octahedra,  an edgeedge with one Cd(13)O6 octahedra,  an edgeedge with one Cd(15)O6 octahedra,  an edgeedge with one Cd(17)O6 octahedra,  an edgeedge with one Cd(20)O6 octahedra,  an edgeedge with one Cd(21)O6 octahedra,  an edgeedge with one Cd(25)O6 octahedra,  an edgeedge with one Cd(29)O6 octahedra,  an edgeedge with one Cd(33)O6 octahedra,  an edgeedge with one Cd(7)O6 octahedra, and edges with two equivalent Mn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 1-5°. In the second Cd site, Cd(2) is bonded to one O(18), one O(22), one O(26), one O(30), one O(4), and one O(7) atom to form CdO6 octahedra that share  a cornercorner with one Cd(24)O6 octahedra,  a cornercorner with one Cd(27)O6 octahedra, corners with two equivalent Cd(10)O6 octahedra, corners with two equivalent Cd(6)O6 octahedra,  an edgeedge with one Cd(11)O6 octahedra,  an edgeedge with one Cd(14)O6 octahedra,  an edgeedge with one Cd(16)O6 octahedra,  an edgeedge with one Cd(18)O6 octahedra,  an edgeedge with one Cd(19)O6 octahedra,  an edgeedge with one Cd(22)O6 octahedra,  an edgeedge with one Cd(26)O6 octahedra,  an edgeedge with one Cd(30)O6 octahedra,  an edgeedge with one Cd(34)O6 octahedra,  an edgeedge with one Cd(8)O6 octahedra, and edges with two equivalent Mn(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 1-5°. In the third Cd site, Cd(3) is bonded to one O(19), one O(2), one O(23), one O(27), one O(31), and one O(5) atom to form CdO6 octahedra that share  a cornercorner with one Cd(22)O6 octahedra,  a cornercorner with one Cd(25)O6 octahedra, corners with two equivalent Cd(11)O6 octahedra, corners with two equivalent Cd(7)O6 octahedra,  an edgeedge with one Cd(14)O6 octahedra,  an edgeedge with one Cd(15)O6 octahedra,  an edgeedge with one Cd(17)O6 octahedra,  an edgeedge with one Cd(19)O6 octahedra,  an edgeedge with one Cd(23)O6 octahedra,  an edgeedge with one Cd(27)O6 octahedra,  an edgeedge with one Cd(31)O6 octahedra,  an edgeedge with one Cd(35)O6 octahedra,  an edgeedge with one Cd(6)O6 octahedra,  an edgeedge with one Cd(9)O6 octahedra, and edges with two equivalent Mn(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 1-6°. In the fourth Cd site, Cd(4) is bonded to one O(1), one O(20), one O(24), one O(28), one O(32), and one O(6) atom to form CdO6 octahedra that share  a cornercorner with one Cd(21)O6 octahedra,  a cornercorner with one Cd(26)O6 octahedra, corners with two equivalent Cd(12)O6 octahedra, corners with two equivalent Cd(8)O6 octahedra,  an edgeedge with one Cd(10)O6 octahedra,  an edgeedge with one Cd(13)O6 octahedra,  an edgeedge with one Cd(16)O6 octahedra,  an edgeedge with one Cd(18)O6 octahedra,  an edgeedge with one Cd(20)O6 octahedra,  an edgeedge with one Cd(24)O6 octahedra,  an edgeedge with one Cd(28)O6 octahedra,  an edgeedge with one Cd(32)O6 octahedra,  an edgeedge with one Cd(36)O6 octahedra,  an edgeedge with one Cd(5)O6 octahedra, and edges with two equivalent Mn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 1-6°. In the fifth Cd site, Cd(5) is bonded to one O(1), one O(17), one O(25), one O(32), one O(37), and one O(9) atom to form CdO6 octahedra that share  a cornercorner with one Cd(17)O6 octahedra,  a cornercorner with one Cd(36)O6 octahedra, corners with two equivalent Cd(1)O6 octahedra, corners with two equivalent Cd(32)O6 octahedra,  an edgeedge with one Mn(1)O6 octahedra,  an edgeedge with one Mn(2)O6 octahedra,  an edgeedge with one Cd(12)O6 octahedra,  an edgeedge with one Cd(20)O6 octahedra,  an edgeedge with one Cd(21)O6 octahedra,  an edgeedge with one Cd(25)O6 octahedra,  an edgeedge with one Cd(28)O6 octahedra,  an edgeedge with one Cd(29)O6 octahedra,  an edgeedge with one Cd(33)O6 octahedra,  an edgeedge with one Cd(4)O6 octahedra, and edges with two equivalent Cd(13)O6 octahedra. The corner-sharing octahedral tilt angles range from 0-5°. In the sixth Cd site, Cd(6) is bonded to one O(10), one O(18), one O(2), one O(26), one O(31), and one O(38) atom to form CdO6 octahedra that share  a cornercorner with one Cd(18)O6 octahedra,  a cornercorner with one Cd(35)O6 octahedra, corners with two equivalent Cd(2)O6 octahedra, corners with two equivalent Cd(31)O6 octahedra,  an edgeedge with one Mn(3)O6 octahedra,  an edgeedge with one Mn(4)O6 octahedra,  an edgeedge with one Cd(11)O6 octahedra,  an edgeedge with one Cd(19)O6 octahedra,  an edgeedge with one Cd(22)O6 octahedra,  an edgeedge with one Cd(26)O6 octahedra,  an edgeedge with one Cd(27)O6 octahedra,  an edgeedge with one Cd(3)O6 octahedra,  an edgeedge with one Cd(30)O6 octahedra,  an edgeedge with one Cd(34)O6 octahedra, and edges with two equivalent Cd(14)O6 octahedra. The corner-sharing octahedral tilt angles range from 0-5°. In the seventh Cd site, Cd(7) is bonded to one O(11), one O(19), one O(27), one O(29), one O(3), and one O(39) atom to form CdO6 octahedra that share  a cornercorner with one Cd(19)O6 octahedra,  a cornercorner with one Cd(33)O6 octahedra, corners with two equivalent Cd(29)O6 octahedra, corners with two equivalent Cd(3)O6 octahedra,  an edgeedge with one Mn(1)O6 octahedra,  an edgeedge with one Mn(4)O6 octahedra,  an edgeedge with one Cd(1)O6 octahedra,  an edgeedge with one Cd(17)O6 octahedra,  an edgeedge with one Cd(23)O6 octahedra,  an edgeedge with one Cd(25)O6 octahedra,  an edgeedge with one Cd(27)O6 octahedra,  an edgeedge with one Cd(31)O6 octahedra,  an edgeedge with one Cd(35)O6 octahedra,  an edgeedge with one Cd(9)O6 octahedra, and edges with two equivalent Cd(15)O6 octahedra. The corner-sharing octahedral tilt angles range from 0-6°. In the eighth Cd site, Cd(8) is bonded to one O(12), one O(20), one O(28), one O(30), one O(4), and one O(40) atom to form CdO6 octahedra that share  a cornercorner with one Cd(20)O6 octahedra,  a cornercorner with one Cd(34)O6 octahedra, corners with two equivalent Cd(30)O6 octahedra, corners with two equivalent Cd(4)O6 octahedra,  an edgeedge with one Mn(2)O6 octahedra,  an edgeedge with one Mn(3)O6 octahedra,  an edgeedge with one Cd(10)O6 octahedra,  an edgeedge with one Cd(18)O6 octahedra,  an edgeedge with one Cd(2)O6 octahedra,  an edgeedge with one Cd(24)O6 octahedra,  an edgeedge with one Cd(26)O6 octahedra,  an edgeedge with one Cd(28)O6 octahedra,  an edgeedge with one Cd(32)O6 octahedra,  an edgeedge with one Cd(36)O6 octahedra, and edges with two equivalent Cd(16)O6 octahedra. The corner-sharing octahedral tilt angles range from 0-6°. In the ninth Cd site, Cd(9) is bonded to one O(13), one O(21), one O(27), one O(29), one O(33), and one O(5) atom to form CdO6 octahedra that share  a cornercorner with one Cd(13)O6 octahedra,  a cornercorner with one Cd(31)O6 octahedra, corners with two equivalent Cd(1)O6 octahedra, corners with two equivalent Cd(35)O6 octahedra,  an edgeedge with one Mn(1)O6 octahedra,  an edgeedge with one Mn(4)O6 octahedra,  an edgeedge with one Cd(15)O6 octahedra,  an edgeedge with one Cd(21)O6 octahedra,  an edgeedge with one Cd(23)O6 octahedra,  an edgeedge with one Cd(25)O6 octahedra,  an edgeedge with one Cd(29)O6 octahedra,  an edgeedge with one Cd(3)O6 octahedra,  an edgeedge with one Cd(33)O6 octahedra,  an edgeedge with one Cd(7)O6 octahedra, and edges with two equivalent Cd(17)O6 octahedra. The corner-sharing octahedral tilt angles range from 0-5°. In the tenth Cd site, Cd(10) is bonded to one O(14), one O(22), one O(28), one O(30), one O(34), and one O(6) atom to form CdO6 octahedra that share  a cornercorner with one Cd(14)O6 octahedra,  a cornercorner with one Cd(32)O6 octahedra, corners with two equivalent Cd(2)O6 octahedra, corners with two equivalent Cd(36)O6 octahedra,  an edgeedge with one Mn(2)O6 octahedra,  an edgeedge with one Mn(3)O6 octahedra,  an edgeedge with one Cd(16)O6 octahedra,  an edgeedge with one Cd(22)O6 octahedra,  an edgeedge with one Cd(24)O6 octahedra,  an edgeedge with one Cd(26)O6 octahedra,  an edgeedge with one Cd(30)O6 octahedra,  an edgeedge with one Cd(34)O6 octahedra,  an edgeedge with one Cd(4)O6 octahedra,  an edgeedge with one Cd(8)O6 octahedra, and edges with two equivalent Cd(18)O6 octahedra. The corner-sharing octahedral tilt angles range from 0-5°. In the eleventh Cd site, Cd(11) is bonded to one O(15), one O(23), one O(26), one O(31), one O(35), and one O(7) atom to form CdO6 octahedra that share  a cornercorner with one Cd(15)O6 octahedra,  a cornercorner with one Cd(30)O6 octahedra, corners with two equivalent Cd(3)O6 octahedra, corners with two equivalent Cd(34)O6 octahedra,  an edgeedge with one Mn(3)O6 octahedra,  an edgeedge with one Mn(4)O6 octahedra,  an edgeedge with one Cd(14)O6 octahedra,  an edgeedge with one Cd(2)O6 octahedra,  an edgeedge with one Cd(22)O6 octahedra,  an edgeedge with one Cd(23)O6 octahedra,  an edgeedge with one Cd(27)O6 octahedra,  an edgeedge with one Cd(31)O6 octahedra,  an edgeedge with one Cd(35)O6 octahedra,  an edgeedge with one Cd(6)O6 octahedra, and edges with two equivalent Cd(19)O6 octahedra. The corner-sharing octahedral tilt angles range from 0-6°. In the twelfth Cd site, Cd(12) is bonded to one O(16), one O(24), one O(25), one O(32), one O(36), and one O(8) atom to form CdO6 octahedra that share  a cornercorner with one Cd(16)O6 octahedra,  a cornercorner with one Cd(29)O6 octahedra, corners with two equivalent Cd(33)O6 octahedra, corners with two equivalent Cd(4)O6 octahedra,  an edgeedge with one Mn(1)O6 octahedra,  an edgeedge with one Mn(2)O6 octahedra,  an edgeedge with one Cd(1)O6 octahedra,  an edgeedge with one Cd(13)O6 octahedra,  an edgeedge with one Cd(21)O6 octahedra,  an edgeedge with one Cd(24)O6 octahedra,  an edgeedge with one Cd(28)O6 octahedra,  an edgeedge with one Cd(32)O6 octahedra,  an edgeedge with one Cd(36)O6 octahedra,  an edgeedge with one Cd(5)O6 octahedra, and edges with two equivalent Cd(20)O6 octahedra. The corner-sharing octahedral tilt angles range from 0-6°. In the thirteenth Cd site, Cd(13) is bonded to one O(1), one O(17), one O(24), one O(25), one O(33), and one O(9) atom to form CdO6 octahedra that share  a cornercorner with one Cd(24)O6 octahedra,  a cornercorner with one Cd(9)O6 octahedra, corners with two equivalent Mn(1)O6 octahedra, corners with two equivalent Cd(28)O6 octahedra,  an edgeedge with one Mn(2)O6 octahedra,  an edgeedge with one Cd(1)O6 octahedra,  an edgeedge with one Cd(12)O6 octahedra,  an edgeedge with one Cd(20)O6 octahedra,  an edgeedge with one Cd(21)O6 octahedra,  an edgeedge with one Cd(25)O6 octahedra,  an edgeedge with one Cd(29)O6 octahedra,  an edgeedge with one Cd(32)O6 octahedra,  an edgeedge with one Cd(33)O6 octahedra,  an edgeedge with one Cd(4)O6 octahedra, and edges with two equivalent Cd(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 0-4°. In the fourteenth Cd site, Cd(14) is bonded to one O(10), one O(18), one O(2), one O(23), one O(26), and one O(34) atom to form CdO6 octahedra that share  a cornercorner with one Cd(10)O6 octahedra,  a cornercorner with one Cd(23)O6 octahedra, corners with two equivalent Mn(3)O6 octahedra, corners with two equivalent Cd(27)O6 octahedra,  an edgeedge with one Mn(4)O6 octahedra,  an edgeedge with one Cd(11)O6 octahedra,  an edgeedge with one Cd(19)O6 octahedra,  an edgeedge with one Cd(2)O6 octahedra,  an edgeedge with one Cd(22)O6 octahedra,  an edgeedge with one Cd(26)O6 octahedra,  an edgeedge with one Cd(3)O6 octahedra,  an edgeedge with one Cd(30)O6 octahedra,  an edgeedge with one Cd(31)O6 octahedra,  an edgeedge with one Cd(34)O6 octahedra, and edges with two equivalent Cd(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 0-5°. In the fifteenth Cd site, Cd(15) is bonded to one O(11), one O(19), one O(21), one O(27), one O(3), and one O(35) atom to form CdO6 octahedra that share  a cornercorner with one Cd(11)O6 octahedra,  a cornercorner with one Cd(21)O6 octahedra, corners with two equivalent Mn(4)O6 octahedra, corners with two equivalent Cd(25)O6 octahedra,  an edgeedge with one Mn(1)O6 octahedra,  an edgeedge with one Cd(1)O6 octahedra,  an edgeedge with one Cd(17)O6 octahedra,  an edgeedge with one Cd(23)O6 octahedra,  an edgeedge with one Cd(27)O6 octahedra,  an edgeedge with one Cd(29)O6 octahedra,  an edgeedge with one Cd(3)O6 octahedra,  an edgeedge with one Cd(31)O6 octahedra,  an edgeedge with one Cd(35)O6 octahedra,  an edgeedge with one Cd(9)O6 octahedra, and edges with two equivalent Cd(7)O6 octahedra. The corner-sharing octahedral tilt angles range from 0-4°. In the sixteenth Cd site, Cd(16) is bonded to one O(12), one O(20), one O(22), one O(28), one O(36), and one O(4) atom to form CdO6 octahedra that share  a cornercorner with one Cd(12)O6 octahedra,  a cornercorner with one Cd(22)O6 octahedra, corners with two equivalent Mn(2)O6 octahedra, corners with two equivalent Cd(26)O6 octahedra,  an edgeedge with one Mn(3)O6 octahedra,  an edgeedge with one Cd(10)O6 octahedra,  an edgeedge with one Cd(18)O6 octahedra,  an edgeedge with one Cd(2)O6 octahedra,  an edgeedge with one Cd(24)O6 octahedra,  an edgeedge with one Cd(28)O6 octahedra,  an edgeedge with one Cd(30)O6 octahedra,  an edgeedge with one Cd(32)O6 octahedra,  an edgeedge with one Cd(36)O6 octahedra,  an edgeedge with one Cd(4)O6 octahedra, and edges with two equivalent Cd(8)O6 octahedra. The corner-sharing octahedral tilt angles range from 0-4°. In the seventeenth Cd site, Cd(17) is bonded to one O(13), one O(19), one O(21), one O(29), one O(37), and one O(5) atom to form CdO6 octahedra that share  a cornercorner with one Cd(27)O6 octahedra,  a cornercorner with one Cd(5)O6 octahedra, corners with two equivalent Mn(1)O6 octahedra, corners with two equivalent Cd(23)O6 octahedra,  an edgeedge with one Mn(4)O6 octahedra,  an edgeedge with one Cd(1)O6 octahedra,  an edgeedge with one Cd(15)O6 octahedra,  an edgeedge with one Cd(21)O6 octahedra,  an edgeedge with one Cd(25)O6 octahedra,  an edgeedge with one Cd(29)O6 octahedra,  an edgeedge with one Cd(3)O6 octahedra,  an edgeedge with one Cd(33)O6 octahedra,  an edgeedge with one Cd(35)O6 octahedra,  an edgeedge with one Cd(7)O6 octahedra, and edges with two equivalent Cd(9)O6 octahedra. The corner-sharing octahedral tilt angles range from 0-5°. In the eighteenth Cd site, Cd(18) is bonded to one O(14), one O(20), one O(22), one O(30), one O(38), and one O(6) atom to form CdO6 octahedra that share  a cornercorner with one Cd(28)O6 octahedra,  a cornercorner with one Cd(6)O6 octahedra, corners with two equivalent Mn(3)O6 octahedra, corners with two equivalent Cd(24)O6 octahedra,  an edgeedge with one Mn(2)O6 octahedra,  an edgeedge with one Cd(16)O6 octahedra,  an edgeedge with one Cd(2)O6 octahedra,  an edgeedge with one Cd(22)O6 octahedra,  an edgeedge with one Cd(26)O6 octahedra,  an edgeedge with one Cd(30)O6 octahedra,  an edgeedge with one Cd(34)O6 octahedra,  an edgeedge with one Cd(36)O6 octahedra,  an edgeedge with one Cd(4)O6 octahedra,  an edgeedge with one Cd(8)O6 octahedra, and edges with two equivalent Cd(10)O6 octahedra. The corner-sharing octahedral tilt angles range from 0-4°. In the nineteenth Cd site, Cd(19) is bonded to one O(15), one O(18), one O(23), one O(31), one O(39), and one O(7) atom to form CdO6 octahedra that share  a cornercorner with one Cd(26)O6 octahedra,  a cornercorner with one Cd(7)O6 octahedra, corners with two equivalent Mn(4)O6 octahedra, corners with two equivalent Cd(22)O6 octahedra,  an edgeedge with one Mn(3)O6 octahedra,  an edgeedge with one Cd(14)O6 octahedra,  an edgeedge with one Cd(2)O6 octahedra,  an edgeedge with one Cd(23)O6 octahedra,  an edgeedge with one Cd(27)O6 octahedra,  an edgeedge with one Cd(3)O6 octahedra,  an edgeedge with one Cd(31)O6 octahedra,  an edgeedge with one Cd(34)O6 octahedra,  an edgeedge with one Cd(35)O6 octahedra,  an edgeedge with one Cd(6)O6 octahedra, and edges with two equivalent Cd(11)O6 octahedra. The corner-sharing octahedral tilt angles range from 0-4°. In the twentieth Cd site, Cd(20) is bonded to one O(16), one O(17), one O(24), one O(32), one O(40), and one O(8) atom to form CdO6 octahedra that share  a cornercorner with one Cd(25)O6 octahedra,  a cornercorner with one Cd(8)O6 octahedra, corners with two equivalent Mn(2)O6 octahedra, corners with two equivalent Cd(21)O6 octahedra,  an edgeedge with one Mn(1)O6 octahedra,  an edgeedge with one Cd(1)O6 octahedra,  an edgeedge with one Cd(13)O6 octahedra,  an edgeedge with one Cd(24)O6 octahedra,  an edgeedge with one Cd(28)O6 octahedra,  an edgeedge with one Cd(32)O6 octahedra,  an edgeedge with one Cd(33)O6 octahedra,  an edgeedge with one Cd(36)O6 octahedra,  an edgeedge with one Cd(4)O6 octahedra,  an edgeedge with one Cd(5)O6 octahedra, and edges with two equivalent Cd(12)O6 octahedra. The corner-sharing octahedral tilt angles range from 0-4°. In the twenty-first Cd site, Cd(21) is bonded to one O(1), one O(16), one O(21), one O(33), one O(37), and one O(8) atom to form CdO6 octahedra that share  a cornercorner with one Cd(15)O6 octahedra,  a cornercorner with one Cd(4)O6 octahedra, corners with two equivalent Cd(20)O6 octahedra, corners with two equivalent Cd(29)O6 octahedra,  an edgeedge with one Mn(1)O6 octahedra,  an edgeedge with one Cd(1)O6 octahedra,  an edgeedge with one Cd(12)O6 octahedra,  an edgeedge with one Cd(13)O6 octahedra,  an edgeedge with one Cd(17)O6 octahedra,  an edgeedge with one Cd(25)O6 octahedra,  an edgeedge with one Cd(28)O6 octahedra,  an edgeedge with one Cd(32)O6 octahedra,  an edgeedge with one Cd(5)O6 octahedra,  an edgeedge with one Cd(9)O6 octahedra, and edges with two equivalent Cd(33)O6 octahedra. The corner-sharing octahedral tilt angles range from 1-4°. In the twenty-second Cd site, Cd(22) is bonded to one O(15), one O(2), one O(22), one O(34), one O(38), and one O(7) atom to form CdO6 octahedra that share  a cornercorner with one Cd(16)O6 octahedra,  a cornercorner with one Cd(3)O6 octahedra, corners with two equivalent Cd(19)O6 octahedra, corners with two equivalent Cd(30)O6 octahedra,  an edgeedge with one Mn(3)O6 octahedra,  an edgeedge with one Cd(10)O6 octahedra,  an edgeedge with one Cd(11)O6 octahedra,  an edgeedge with one Cd(14)O6 octahedra,  an edgeedge with one Cd(18)O6 octahedra,  an edgeedge with one Cd(2)O6 octahedra,  an edgeedge with one Cd(26)O6 octahedra,  an edgeedge with one Cd(27)O6 octahedra,  an edgeedge with one Cd(31)O6 octahedra,  an edgeedge with one Cd(6)O6 octahedra, and edges with two equivalent Cd(34)O6 octahedra. The corner-sharing octahedral tilt angles range from 1-4°. In the twenty-third Cd site, Cd(23) is bonded to one O(13), one O(23), one O(3), one O(35), one O(39), and one O(5) atom to form CdO6 octahedra that share  a cornercorner with one Cd(1)O6 octahedra,  a cornercorner with one Cd(14)O6 octahedra, corners with two equivalent Cd(17)O6 octahedra, corners with two equivalent Cd(31)O6 octahedra,  an edgeedge with one Mn(4)O6 octahedra,  an edgeedge with one Cd(11)O6 octahedra,  an edgeedge with one Cd(15)O6 octahedra,  an edgeedge with one Cd(19)O6 octahedra,  an edgeedge with one Cd(25)O6 octahedra,  an edgeedge with one Cd(27)O6 octahedra,  an edgeedge with one Cd(29)O6 octahedra,  an edgeedge with one Cd(3)O6 octahedra,  an edgeedge with one Cd(7)O6 octahedra,  an edgeedge with one Cd(9)O6 octahedra, and edges with two equivalent Cd(35)O6 octahedra. The corner-sharing octahedral tilt angles range from 1-5°. In the twenty-fourth Cd site, Cd(24) is bonded to one O(14), one O(24), one O(36), one O(4), one O(40), and one O(6) atom to form CdO6 octahedra that share  a cornercorner with one Cd(13)O6 octahedra,  a cornercorner with one Cd(2)O6 octahedra, corners with two equivalent Cd(18)O6 octahedra, corners with two equivalent Cd(32)O6 octahedra,  an edgeedge with one Mn(2)O6 octahedra,  an edgeedge with one Cd(10)O6 octahedra,  an edgeedge with one Cd(12)O6 octahedra,  an edgeedge with one Cd(16)O6 octahedra,  an edgeedge with one Cd(20)O6 octahedra,  an edgeedge with one Cd(26)O6 octahedra,  an edgeedge with one Cd(28)O6 octahedra,  an edgeedge with one Cd(30)O6 octahedra,  an edgeedge with one Cd(4)O6 octahedra,  an edgeedge with one Cd(8)O6 octahedra, and edges with two equivalent Cd(36)O6 octahedra. The corner-sharing octahedral tilt angles range from 1-4°. In the twenty-fifth Cd site, Cd(25) is bonded to one O(11), one O(17), one O(3), one O(33), one O(37), and one O(5) atom to form CdO6 octahedra that share  a cornercorner with one Cd(20)O6 octahedra,  a cornercorner with one Cd(3)O6 octahedra, corners with two equivalent Cd(15)O6 octahedra, corners with two equivalent Cd(33)O6 octahedra,  an edgeedge with one Mn(1)O6 octahedra,  an edgeedge with one Cd(1)O6 octahedra,  an edgeedge with one Cd(13)O6 octahedra,  an edgeedge with one Cd(17)O6 octahedra,  an edgeedge with one Cd(21)O6 octahedra,  an edgeedge with one Cd(23)O6 octahedra,  an edgeedge with one Cd(35)O6 octahedra,  an edgeedge with one Cd(5)O6 octahedra,  an edgeedge with one Cd(7)O6 octahedra,  an edgeedge with one Cd(9)O6 octahedra, and edges with two equivalent Cd(29)O6 octahedra. The corner-sharing octahedral tilt angles range from 1-4°. In the twenty-sixth Cd site, Cd(26) is bonded to one O(12), one O(18), one O(34), one O(38), one O(4), and one O(6) atom to form CdO6 octahedra that share  a cornercorner with one Cd(19)O6 octahedra,  a cornercorner with one Cd(4)O6 octahedra, corners with two equivalent Cd(16)O6 octahedra, corners with two equivalent Cd(34)O6 octahedra,  an edgeedge with one Mn(3)O6 octahedra,  an edgeedge with one Cd(10)O6 octahedra,  an edgeedge with one Cd(14)O6 octahedra,  an edgeedge with one Cd(18)O6 octahedra,  an edgeedge with one Cd(2)O6 octahedra,  an edgeedge with one Cd(22)O6 octahedra,  an edgeedge with one Cd(24)O6 octahedra,  an edgeedge with one Cd(36)O6 octahedra,  an edgeedge with one Cd(6)O6 octahedra,  an edgeedge with one Cd(8)O6 octahedra, and edges with two equivalent Cd(30)O6 octahedra. The corner-sharing octahedral tilt angles range from 1-4°. In the twenty-seventh Cd site, Cd(27) is bonded to one O(10), one O(19), one O(2), one O(35), one O(39), and one O(7) atom to form CdO6 octahedra that share  a cornercorner with one Cd(17)O6 octahedra,  a cornercorner with one Cd(2)O6 octahedra, corners with two equivalent Cd(14)O6 octahedra, corners with two equivalent Cd(35)O6 octahedra,  an edgeedge with one Mn(4)O6 octahedra,  an edgeedge with one Cd(11)O6 octahedra,  an edgeedge with one Cd(15)O6 octahedra,  an edgeedge with one Cd(19)O6 octahedra,  an edgeedge with one Cd(22)O6 octahedra,  an edgeedge with one Cd(23)O6 octahedra,  an edgeedge with one Cd(3)O6 octahedra,  an edgeedge with one Cd(34)O6 octahedra,  an edgeedge with one Cd(6)O6 octahedra,  an edgeedge with one Cd(7)O6 octahedra, and edges with two equivalent Cd(31)O6 octahedra. The corner-sharing octahedral tilt angles range from 1-5°. In the twenty-eighth Cd site, Cd(28) is bonded to one O(1), one O(20), one O(36), one O(40), one O(8), and one O(9) atom to form CdO6 octahedra that share  a cornercorner with one Cd(1)O6 octahedra,  a cornercorner with one Cd(18)O6 octahedra, corners with two equivalent Cd(13)O6 octahedra, corners with two equivalent Cd(36)O6 octahedra,  an edgeedge with one Mn(2)O6 octahedra,  an edgeedge with one Cd(12)O6 octahedra,  an edgeedge with one Cd(16)O6 octahedra,  an edgeedge with one Cd(20)O6 octahedra,  an edgeedge with one Cd(21)O6 octahedra,  an edgeedge with one Cd(24)O6 octahedra,  an edgeedge with one Cd(33)O6 octahedra,  an edgeedge with one Cd(4)O6 octahedra,  an edgeedge with one Cd(5)O6 octahedra,  an edgeedge with one Cd(8)O6 octahedra, and edges with two equivalent Cd(32)O6 octahedra. The corner-sharing octahedral tilt angles range from 1-4°. In the twenty-ninth Cd site, Cd(29) is bonded to one O(11), one O(13), one O(25), one O(3), one O(33), and one O(37) atom to form CdO6 octahedra that share  a cornercorner with one Mn(4)O6 octahedra,  a cornercorner with one Cd(12)O6 octahedra, corners with two equivalent Cd(21)O6 octahedra, corners with two equivalent Cd(7)O6 octahedra,  an edgeedge with one Mn(1)O6 octahedra,  an edgeedge with one Cd(1)O6 octahedra,  an edgeedge with one Cd(13)O6 octahedra,  an edgeedge with one Cd(15)O6 octahedra,  an edgeedge with one Cd(17)O6 octahedra,  an edgeedge with one Cd(23)O6 octahedra,  an edgeedge with one Cd(33)O6 octahedra,  an edgeedge with one Cd(35)O6 octahedra,  an edgeedge with one Cd(5)O6 octahedra,  an edgeedge with one Cd(9)O6 octahedra, and edges with two equivalent Cd(25)O6 octahedra. The corner-sharing octahedral tilt angles range from 1-5°. In the thirtieth Cd site, Cd(30) is bonded to one O(12), one O(14), one O(26), one O(34), one O(38), and one O(4) atom to form CdO6 octahedra that share  a cornercorner with one Mn(2)O6 octahedra,  a cornercorner with one Cd(11)O6 octahedra, corners with two equivalent Cd(22)O6 octahedra, corners with two equivalent Cd(8)O6 octahedra,  an edgeedge with one Mn(3)O6 octahedra,  an edgeedge with one Cd(10)O6 octahedra,  an edgeedge with one Cd(14)O6 octahedra,  an edgeedge with one Cd(16)O6 octahedra,  an edgeedge with one Cd(18)O6 octahedra,  an edgeedge with one Cd(2)O6 octahedra,  an edgeedge with one Cd(24)O6 octahedra,  an edgeedge with one Cd(34)O6 octahedra,  an edgeedge with one Cd(36)O6 octahedra,  an edgeedge with one Cd(6)O6 octahedra, and edges with two equivalent Cd(26)O6 octahedra. The corner-sharing octahedral tilt angles range from 1-4°. In the thirty-first Cd site, Cd(31) is bonded to one O(10), one O(15), one O(2), one O(27), one O(35), and one O(39) atom to form CdO6 octahedra that share  a cornercorner with one Mn(3)O6 octahedra,  a cornercorner with one Cd(9)O6 octahedra, corners with two equivalent Cd(23)O6 octahedra, corners with two equivalent Cd(6)O6 octahedra,  an edgeedge with one Mn(4)O6 octahedra,  an edgeedge with one Cd(11)O6 octahedra,  an edgeedge with one Cd(14)O6 octahedra,  an edgeedge with one Cd(15)O6 octahedra,  an edgeedge with one Cd(19)O6 octahedra,  an edgeedge with one Cd(22)O6 octahedra,  an edgeedge with one Cd(3)O6 octahedra,  an edgeedge with one Cd(34)O6 octahedra,  an edgeedge with one Cd(35)O6 octahedra,  an edgeedge with one Cd(7)O6 octahedra, and edges with two equivalent Cd(27)O6 octahedra. The corner-sharing octahedral tilt angles range from 0-5°. In the thirty-second Cd site, Cd(32) is bonded to one O(1), one O(16), one O(28), one O(36), one O(40), and one O(9) atom to form CdO6 octahedra that share  a cornercorner with one Mn(1)O6 octahedra,  a cornercorner with one Cd(10)O6 octahedra, corners with two equivalent Cd(24)O6 octahedra, corners with two equivalent Cd(5)O6 octahedra,  an edgeedge with one Mn(2)O6 octahedra,  an edgeedge with one Cd(12)O6 octahedra,  an edgeedge with one Cd(13)O6 octahedra,  an edgeedge with one Cd(16)O6 octahedra,  an edgeedge with one Cd(20)O6 octahedra,  an edgeedge with one Cd(21)O6 octahedra,  an edgeedge with one Cd(33)O6 octahedra,  an edgeedge with one Cd(36)O6 octahedra,  an edgeedge with one Cd(4)O6 octahedra,  an edgeedge with one Cd(8)O6 octahedra, and edges with two equivalent Cd(28)O6 octahedra. The corner-sharing octahedral tilt angles range from 0-5°. In the thirty-third Cd site, Cd(33) is bonded to one O(16), one O(29), one O(33), one O(37), one O(8), and one O(9) atom to form CdO6 octahedra that share  a cornercorner with one Mn(2)O6 octahedra,  a cornercorner with one Cd(7)O6 octahedra, corners with two equivalent Cd(12)O6 octahedra, corners with two equivalent Cd(25)O6 octahedra,  an edgeedge with one Mn(1)O6 octahedra,  an edgeedge with one Cd(1)O6 octahedra,  an edgeedge with one Cd(13)O6 octahedra,  an edgeedge with one Cd(17)O6 octahedra,  an edgeedge with one Cd(20)O6 octahedra,  an edgeedge with one Cd(28)O6 octahedra,  an edgeedge with one Cd(29)O6 octahedra,  an edgeedge with one Cd(32)O6 octahedra,  an edgeedge with one Cd(5)O6 octahedra,  an edgeedge with one Cd(9)O6 octahedra, and edges with two equivalent Cd(21)O6 octahedra. The corner-sharing octahedral tilt angles range from 0-5°. In the thirty-fourth Cd site, Cd(34) is bonded to one O(10), one O(15), one O(30), one O(34), one O(38), and one O(7) atom to form CdO6 octahedra that share  a cornercorner with one Mn(4)O6 octahedra,  a cornercorner with one Cd(8)O6 octahedra, corners with two equivalent Cd(11)O6 octahedra, corners with two equivalent Cd(26)O6 octahedra,  an edgeedge with one Mn(3)O6 octahedra,  an edgeedge with one Cd(10)O6 octahedra,  an edgeedge with one Cd(14)O6 octahedra,  an edgeedge with one Cd(18)O6 octahedra,  an edgeedge with one Cd(19)O6 octahedra,  an edgeedge with one Cd(2)O6 octahedra,  an edgeedge with one Cd(27)O6 octahedra,  an edgeedge with one Cd(30)O6 octahedra,  an edgeedge with one Cd(31)O6 octahedra,  an edgeedge with one Cd(6)O6 octahedra, and edges with two equivalent Cd(22)O6 octahedra. The corner-sharing octahedral tilt angles range from 1-4°. In the thirty-fifth Cd site, Cd(35) is bonded to one O(11), one O(13), one O(31), one O(35), one O(39), and one O(5) atom to form CdO6 octahedra that share  a cornercorner with one Mn(1)O6 octahedra,  a cornercorner with one Cd(6)O6 octahedra, corners with two equivalent Cd(27)O6 octahedra, corners with two equivalent Cd(9)O6 octahedra,  an edgeedge with one Mn(4)O6 octahedra,  an edgeedge with one Cd(11)O6 octahedra,  an edgeedge with one Cd(15)O6 octahedra,  an edgeedge with one Cd(17)O6 octahedra,  an edgeedge with one Cd(19)O6 octahedra,  an edgeedge with one Cd(25)O6 octahedra,  an edgeedge with one Cd(29)O6 octahedra,  an edgeedge with one Cd(3)O6 octahedra,  an edgeedge with one Cd(31)O6 octahedra,  an edgeedge with one Cd(7)O6 octahedra, and edges with two equivalent Cd(23)O6 octahedra. The corner-sharing octahedral tilt angles range from 0-5°. In the thirty-sixth Cd site, Cd(36) is bonded to one O(12), one O(14), one O(32), one O(36), one O(40), and one O(6) atom to form CdO6 octahedra that share  a cornercorner with one Mn(3)O6 octahedra,  a cornercorner with one Cd(5)O6 octahedra, corners with two equivalent Cd(10)O6 octahedra, corners with two equivalent Cd(28)O6 octahedra,  an edgeedge with one Mn(2)O6 octahedra,  an edgeedge with one Cd(12)O6 octahedra,  an edgeedge with one Cd(16)O6 octahedra,  an edgeedge with one Cd(18)O6 octahedra,  an edgeedge with one Cd(20)O6 octahedra,  an edgeedge with one Cd(26)O6 octahedra,  an edgeedge with one Cd(30)O6 octahedra,  an edgeedge with one Cd(32)O6 octahedra,  an edgeedge with one Cd(4)O6 octahedra,  an edgeedge with one Cd(8)O6 octahedra, and edges with two equivalent Cd(24)O6 octahedra. The corner-sharing octahedral tilt angles range from 0-5°. There are forty inequivalent O sites. In the first O site, O(1) is bonded to one Cd(13), one Cd(21), one Cd(28), one Cd(32), one Cd(4), and one Cd(5) atom to form OCd6 octahedra that share  a cornercorner with one O(6)Cd6 octahedra,  a cornercorner with one O(21)MnCd5 octahedra, corners with two equivalent O(40)Cd6 octahedra, corners with two equivalent O(25)MnCd5 octahedra,  an edgeedge with one O(33)Cd6 octahedra,  an edgeedge with one O(36)Cd6 octahedra,  an edgeedge with one O(37)Cd6 octahedra,  an edgeedge with one O(8)Cd6 octahedra,  an edgeedge with one O(16)MnCd5 octahedra,  an edgeedge with one O(17)MnCd5 octahedra,  an edgeedge with one O(20)MnCd5 octahedra,  an edgeedge with one O(24)MnCd5 octahedra,  an edgeedge with one O(28)MnCd5 octahedra,  an edgeedge with one O(32)MnCd5 octahedra, and edges with two equivalent O(9)MnCd5 octahedra. The corner-sharing octahedral tilt angles range from 0-3°. In the second O site, O(2) is bonded to one Cd(14), one Cd(22), one Cd(27), one Cd(3), one Cd(31), and one Cd(6) atom to form OCd6 octahedra that share  a cornercorner with one O(5)Cd6 octahedra,  a cornercorner with one O(22)MnCd5 octahedra, corners with two equivalent O(39)Cd6 octahedra, corners with two equivalent O(26)MnCd5 octahedra,  an edgeedge with one O(34)Cd6 octahedra,  an edgeedge with one O(35)Cd6 octahedra,  an edgeedge with one O(38)Cd6 octahedra,  an edgeedge with one O(7)Cd6 octahedra,  an edgeedge with one O(15)MnCd5 octahedra,  an edgeedge with one O(18)MnCd5 octahedra,  an edgeedge with one O(19)MnCd5 octahedra,  an edgeedge with one O(23)MnCd5 octahedra,  an edgeedge with one O(27)MnCd5 octahedra,  an edgeedge with one O(31)MnCd5 octahedra, and edges with two equivalent O(10)MnCd5 octahedra. The corner-sharing octahedral tilt angles range from 0-3°. In the third O site, O(3) is bonded to one Cd(1), one Cd(15), one Cd(23), one Cd(25), one Cd(29), and one Cd(7) atom to form OCd6 octahedra that share  a cornercorner with one O(8)Cd6 octahedra,  a cornercorner with one O(23)MnCd5 octahedra, corners with two equivalent O(37)Cd6 octahedra, corners with two equivalent O(27)MnCd5 octahedra,  an edgeedge with one O(33)Cd6 octahedra,  an edgeedge with one O(35)Cd6 octahedra,  an edgeedge with one O(39)Cd6 octahedra,  an edgeedge with one O(5)Cd6 octahedra,  an edgeedge with one O(13)MnCd5 octahedra,  an edgeedge with one O(17)MnCd5 octahedra,  an edgeedge with one O(19)MnCd5 octahedra,  an edgeedge with one O(21)MnCd5 octahedra,  an edgeedge with one O(25)MnCd5 octahedra,  an edgeedge with one O(29)MnCd5 octahedra, and edges with two equivalent O(11)MnCd5 octahedra. The corner-sharing octahedral tilt angles range from 0-4°. In the fourth O site, O(4) is bonded to one Cd(16), one Cd(2), one Cd(24), one Cd(26), one Cd(30), and one Cd(8) atom to form OCd6 octahedra that share  a cornercorner with one O(7)Cd6 octahedra,  a cornercorner with one O(24)MnCd5 octahedra, corners with two equivalent O(38)Cd6 octahedra, corners with two equivalent O(28)MnCd5 octahedra,  an edgeedge with one O(34)Cd6 octahedra,  an edgeedge with one O(36)Cd6 octahedra,  an edgeedge with one O(40)Cd6 octahedra,  an edgeedge with one O(6)Cd6 octahedra,  an edgeedge with one O(14)MnCd5 octahedra,  an edgeedge with one O(18)MnCd5 octahedra,  an edgeedge with one O(20)MnCd5 octahedra,  an edgeedge with one O(22)MnCd5 octahedra,  an edgeedge with one O(26)MnCd5 octahedra,  an edgeedge with one O(30)MnCd5 octahedra, and edges with two equivalent O(12)MnCd5 octahedra. The corner-sharing octahedral tilt angles range from 0-3°. In the fifth O site, O(5) is bonded to one Cd(17), one Cd(23), one Cd(25), one Cd(3), one Cd(35), and one Cd(9) atom to form OCd6 octahedra that share  a cornercorner with one O(2)Cd6 octahedra,  a cornercorner with one O(17)MnCd5 octahedra, corners with two equivalent O(35)Cd6 octahedra, corners with two equivalent O(29)MnCd5 octahedra,  an edgeedge with one O(3)Cd6 octahedra,  an edgeedge with one O(33)Cd6 octahedra,  an edgeedge with one O(37)Cd6 octahedra,  an edgeedge with one O(39)Cd6 octahedra,  an edgeedge with one O(11)MnCd5 octahedra,  an edgeedge with one O(19)MnCd5 octahedra,  an edgeedge with one O(21)MnCd5 octahedra,  an edgeedge with one O(23)MnCd5 octahedra,  an edgeedge with one O(27)MnCd5 octahedra,  an edgeedge with one O(31)MnCd5 octahedra, and edges with two equivalent O(13)MnCd5 octahedra. The corner-sharing octahedral tilt angles range from 0-3°. In the sixth O site, O(6) is bonded to one Cd(10), one Cd(18), one Cd(24), one Cd(26), one Cd(36), and one Cd(4) atom to form OCd6 octahedra that share  a cornercorner with one O(1)Cd6 octahedra,  a cornercorner with one O(18)MnCd5 octahedra, corners with two equivalent O(36)Cd6 octahedra, corners with two equivalent O(30)MnCd5 octahedra,  an edgeedge with one O(34)Cd6 octahedra,  an edgeedge with one O(38)Cd6 octahedra,  an edgeedge with one O(4)Cd6 octahedra,  an edgeedge with one O(40)Cd6 octahedra,  an edgeedge with one O(12)MnCd5 octahedra,  an edgeedge with one O(20)MnCd5 octahedra,  an edgeedge with one O(22)MnCd5 octahedra,  an edgeedge with one O(24)MnCd5 octahedra,  an edgeedge with one O(28)MnCd5 octahedra,  an edgeedge with one O(32)MnCd5 octahedra, and edges with two equivalent O(14)MnCd5 octahedra. The corner-sharing octahedral tilt angles range from 0-3°. In the seventh O site, O(7) is bonded to one Cd(11), one Cd(19), one Cd(2), one Cd(22), one Cd(27), and one Cd(34) atom to form OCd6 octahedra that share  a cornercorner with one O(4)Cd6 octahedra,  a cornercorner with one O(19)MnCd5 octahedra, corners with two equivalent O(34)Cd6 octahedra, corners with two equivalent O(31)MnCd5 octahedra,  an edgeedge with one O(2)Cd6 octahedra,  an edgeedge with one O(35)Cd6 octahedra,  an edgeedge with one O(38)Cd6 octahedra,  an edgeedge with one O(39)Cd6 octahedra,  an edgeedge with one O(10)MnCd5 octahedra,  an edgeedge with one O(18)MnCd5 octahedra,  an edgeedge with one O(22)MnCd5 octahedra,  an edgeedge with one O(23)MnCd5 octahedra,  an edgeedge with one O(26)MnCd5 octahedra,  an edgeedge with one O(30)MnCd5 octahedra, and edges with two equivalent O(15)MnCd5 octahedra. The corner-sharing octahedral tilt angles range from 0-4°. In the eighth O site, O(8) is bonded to one Cd(1), one Cd(12), one Cd(20), one Cd(21), one Cd(28), and one Cd(33) atom to form OCd6 octahedra that share  a cornercorner with one O(3)Cd6 octahedra,  a cornercorner with one O(20)MnCd5 octahedra, corners with two equivalent O(33)Cd6 octahedra, corners with two equivalent O(32)MnCd5 octahedra,  an edgeedge with one O(1)Cd6 octahedra,  an edgeedge with one O(36)Cd6 octahedra,  an edgeedge with one O(37)Cd6 octahedra,  an edgeedge with one O(40)Cd6 octahedra,  an edgeedge with one O(17)MnCd5 octahedra,  an edgeedge with one O(21)MnCd5 octahedra,  an edgeedge with one O(24)MnCd5 octahedra,  an edgeedge with one O(25)MnCd5 octahedra,  an edgeedge with one O(29)MnCd5 octahedra,  an edgeedge with one O(9)MnCd5 octahedra, and edges with two equivalent O(16)MnCd5 octahedra. The corner-sharing octahedral tilt angles range from 0-3°. In the ninth O site, O(9) is bonded to one Mn(2), one Cd(13), one Cd(28), one Cd(32), one Cd(33), and one Cd(5) atom to form OMnCd5 octahedra that share  a cornercorner with one O(14)MnCd5 octahedra,  a cornercorner with one O(29)MnCd5 octahedra, corners with two equivalent O(36)Cd6 octahedra, corners with two equivalent O(17)MnCd5 octahedra,  an edgeedge with one O(33)Cd6 octahedra,  an edgeedge with one O(37)Cd6 octahedra,  an edgeedge with one O(40)Cd6 octahedra,  an edgeedge with one O(8)Cd6 octahedra,  an edgeedge with one O(16)MnCd5 octahedra,  an edgeedge with one O(20)MnCd5 octahedra,  an edgeedge with one O(24)MnCd5 octahedra,  an edgeedge with one O(25)MnCd5 octahedra,  an edgeedge with one O(28)MnCd5 octahedra,  an edgeedge with one O(32)MnCd5 octahedra, and edges with two equivalent O(1)Cd6 octahedra. The corner-sharing octahedral tilt angles range from 0-3°. In the tenth O site, O(10) is bonded to one Mn(4), one Cd(14), one Cd(27), one Cd(31), one Cd(34), and one Cd(6) atom to form OMnCd5 octahedra that share  a cornercorner with one O(13)MnCd5 octahedra,  a cornercorner with one O(30)MnCd5 octahedra, corners with two equivalent O(35)Cd6 octahedra, corners with two equivalent O(18)MnCd5 octahedra,  an edgeedge with one O(34)Cd6 octahedra,  an edgeedge with one O(38)Cd6 octahedra,  an edgeedge with one O(39)Cd6 octahedra,  an edgeedge with one O(7)Cd6 octahedra,  an edgeedge with one O(15)MnCd5 octahedra,  an edgeedge with one O(19)MnCd5 octahedra,  an edgeedge with one O(23)MnCd5 octahedra,  an edgeedge with one O(26)MnCd5 octahedra,  an edgeedge with one O(27)MnCd5 octahedra,  an edgeedge with one O(31)MnCd5 octahedra, and edges with two equivalent O(2)Cd6 octahedra. The corner-sharing octahedral tilt angles range from 0-4°. In the eleventh O site, O(11) is bonded to one Mn(1), one Cd(15), one Cd(25), one Cd(29), one Cd(35), and one Cd(7) atom to form OMnCd5 octahedra that share  a cornercorner with one O(16)MnCd5 octahedra,  a cornercorner with one O(31)MnCd5 octahedra, corners with two equivalent O(33)Cd6 octahedra, corners with two equivalent O(19)MnCd5 octahedra,  an edgeedge with one O(35)Cd6 octahedra,  an edgeedge with one O(37)Cd6 octahedra,  an edgeedge with one O(39)Cd6 octahedra,  an edgeedge with one O(5)Cd6 octahedra,  an edgeedge with one O(13)MnCd5 octahedra,  an edgeedge with one O(17)MnCd5 octahedra,  an edgeedge with one O(21)MnCd5 octahedra,  an edgeedge with one O(25)MnCd5 octahedra,  an edgeedge with one O(27)MnCd5 octahedra,  an edgeedge with one O(29)MnCd5 octahedra, and edges with two equivalent O(3)Cd6 octahedra. The corner-sharing octahedral tilt angles range from 0-3°. In the twelfth O site, O(12) is bonded to one Mn(3), one Cd(16), one Cd(26), one Cd(30), one Cd(36), and one Cd(8) atom to form OMnCd5 octahedra that share  a cornercorner with one O(15)MnCd5 octahedra,  a cornercorner with one O(32)MnCd5 octahedra, corners with two equivalent O(34)Cd6 octahedra, corners with two equivalent O(20)MnCd5 octahedra,  an edgeedge with one O(36)Cd6 octahedra,  an edgeedge with one O(38)Cd6 octahedra,  an edgeedge with one O(40)Cd6 octahedra,  an edgeedge with one O(6)Cd6 octahedra,  an edgeedge with one O(14)MnCd5 octahedra,  an edgeedge with one O(18)MnCd5 octahedra,  an edgeedge with one O(22)MnCd5 octahedra,  an edgeedge with one O(26)MnCd5 octahedra,  an edgeedge with one O(28)MnCd5 octahedra,  an edgeedge with one O(30)MnCd5 octahedra, and edges with two equivalent O(4)Cd6 octahedra. The corner-sharing octahedral tilt angles range from 0-3°. In the thirteenth O site, O(13) is bonded to one Mn(4), one Cd(17), one Cd(23), one Cd(29), one Cd(35), and one Cd(9) atom to form OMnCd5 octahedra that share  a cornercorner with one O(10)MnCd5 octahedra,  a cornercorner with one O(25)MnCd5 octahedra, corners with two equivalent O(39)Cd6 octahedra, corners with two equivalent O(21)MnCd5 octahedra,  an edgeedge with one O(3)Cd6 octahedra,  an edgeedge with one O(33)Cd6 octahedra,  an edgeedge with one O(35)Cd6 octahedra,  an edgeedge with one O(37)Cd6 octahedra,  an edgeedge with one O(11)MnCd5 octahedra,  an edgeedge with one O(19)MnCd5 octahedra,  an edgeedge with one O(23)MnCd5 octahedra,  an edgeedge with one O(27)MnCd5 octahedra,  an edgeedge with one O(29)MnCd5 octahedra,  an edgeedge with one O(31)MnCd5 octahedra, and edges with two equivalent O(5)Cd6 octahedra. The corner-sharing octahedral tilt angles range from 0-3°. In the fourteenth O site, O(14) is bonded to one Mn(2), one Cd(10), one Cd(18), one Cd(24), one Cd(30), and one Cd(36) atom to form OMnCd5 octahedra that share  a cornercorner with one O(26)MnCd5 octahedra,  a cornercorner with one O(9)MnCd5 octahedra, corners with two equivalent O(40)Cd6 octahedra, corners with two equivalent O(22)MnCd5 octahedra,  an edgeedge with one O(34)Cd6 octahedra,  an edgeedge with one O(36)Cd6 octahedra,  an edgeedge with one O(38)Cd6 octahedra,  an edgeedge with one O(4)Cd6 octahedra,  an edgeedge with one O(12)MnCd5 octahedra,  an edgeedge with one O(20)MnCd5 octahedra,  an edgeedge with one O(24)MnCd5 octahedra,  an edgeedge with one O(28)MnCd5 octahedra,  an edgeedge with one O(30)MnCd5 octahedra,  an edgeedge with one O(32)MnCd5 octahedra, and edges with two equivalent O(6)Cd6 octahedra. The corner-sharing octahedral tilt angles range from 0-3°. In the fifteenth O site, O(15) is bonded to one Mn(3), one Cd(11), one Cd(19), one Cd(22), one Cd(31), and one Cd(34) atom to form OMnCd5 octahedra that share  a cornercorner with one O(12)MnCd5 octahedra,  a cornercorner with one O(27)MnCd5 octahedra, corners with two equivalent O(38)Cd6 octahedra, corners with two equivalent O(23)MnCd5 octahedra,  an edgeedge with one O(2)Cd6 octahedra,  an edgeedge with one O(34)Cd6 octahedra,  an edgeedge with one O(35)Cd6 octahedra,  an edgeedge with one O(39)Cd6 octahedra,  an edgeedge with one O(10)MnCd5 octahedra,  an edgeedge with one O(18)MnCd5 octahedra,  an edgeedge with one O(22)MnCd5 octahedra,  an edgeedge with one O(26)MnCd5 octahedra,  an edgeedge with one O(30)MnCd5 octahedra,  an edgeedge with one O(31)MnCd5 octahedra, and edges with two equivalent O(7)Cd6 octahedra. The corner-sharing octahedral tilt angles range from 0-3°. In the sixteenth O site, O(16) is bonded to one Mn(1), one Cd(12), one Cd(20), one Cd(21), one Cd(32), and one Cd(33) atom to form OMnCd5 octahedra that share  a cornercorner with one O(11)MnCd5 octahedra,  a cornercorner with one O(28)MnCd5 octahedra, corners with two equivalent O(37)Cd6 octahedra, corners with two equivalent O(24)MnCd5 octahedra,  an edgeedge with one O(1)Cd6 octahedra,  an edgeedge with one O(33)Cd6 octahedra,  an edgeedge with one O(36)Cd6 octahedra,  an edgeedge with one O(40)Cd6 octahedra,  an edgeedge with one O(17)MnCd5 octahedra,  an edgeedge with one O(21)MnCd5 octahedra,  an edgeedge with one O(25)MnCd5 octahedra,  an edgeedge with one O(29)MnCd5 octahedra,  an edgeedge with one O(32)MnCd5 octahedra,  an edgeedge with one O(9)MnCd5 octahedra, and edges with two equivalent O(8)Cd6 octahedra. The corner-sharing octahedral tilt angles range from 0-3°. In the seventeenth O site, O(17) is bonded to one Mn(1), one Cd(1), one Cd(13), one Cd(20), one Cd(25), and one Cd(5) atom to form OMnCd5 octahedra that share  a cornercorner with one O(40)Cd6 octahedra,  a cornercorner with one O(5)Cd6 octahedra, corners with two equivalent O(21)MnCd5 octahedra, corners with two equivalent O(9)MnCd5 octahedra,  an edgeedge with one O(1)Cd6 octahedra,  an edgeedge with one O(3)Cd6 octahedra,  an edgeedge with one O(33)Cd6 octahedra,  an edgeedge with one O(37)Cd6 octahedra,  an edgeedge with one O(8)Cd6 octahedra,  an edgeedge with one O(11)MnCd5 octahedra,  an edgeedge with one O(16)MnCd5 octahedra,  an edgeedge with one O(24)MnCd5 octahedra,  an edgeedge with one O(29)MnCd5 octahedra,  an edgeedge with one O(32)MnCd5 octahedra, and edges with two equivalent O(25)MnCd5 octahedra. The corner-sharing octahedral tilt angles range from 0-3°. In the eighteenth O site, O(18) is bonded to one Mn(3), one Cd(14), one Cd(19), one Cd(2), one Cd(26), and one Cd(6) atom to form OMnCd5 octahedra that share  a cornercorner with one O(39)Cd6 octahedra,  a cornercorner with one O(6)Cd6 octahedra, corners with two equivalent O(10)MnCd5 octahedra, corners with two equivalent O(22)MnCd5 octahedra,  an edgeedge with one O(2)Cd6 octahedra,  an edgeedge with one O(34)Cd6 octahedra,  an edgeedge with one O(38)Cd6 octahedra,  an edgeedge with one O(4)Cd6 octahedra,  an edgeedge with one O(7)Cd6 octahedra,  an edgeedge with one O(12)MnCd5 octahedra,  an edgeedge with one O(15)MnCd5 octahedra,  an edgeedge with one O(23)MnCd5 octahedra,  an edgeedge with one O(30)MnCd5 octahedra,  an edgeedge with one O(31)MnCd5 octahedra, and edges with two equivalent O(26)MnCd5 octahedra. The corner-sharing octahedral tilt angles range from 0-3°. In the nineteenth O site, O(19) is bonded to one Mn(4), one Cd(15), one Cd(17), one Cd(27), one Cd(3), and one Cd(7) atom to form OMnCd5 octahedra that share  a cornercorner with one O(37)Cd6 octahedra,  a cornercorner with one O(7)Cd6 octahedra, corners with two equivalent O(11)MnCd5 octahedra, corners with two equivalent O(23)MnCd5 octahedra,  an edgeedge with one O(2)Cd6 octahedra,  an edgeedge with one O(3)Cd6 octahedra,  an edgeedge with one O(35)Cd6 octahedra,  an edgeedge with one O(39)Cd6 octahedra,  an edgeedge with one O(5)Cd6 octahedra,  an edgeedge with one O(10)MnCd5 octahedra,  an edgeedge with one O(13)MnCd5 octahedra,  an edgeedge with one O(21)MnCd5 octahedra,  an edgeedge with one O(29)MnCd5 octahedra,  an edgeedge with one O(31)MnCd5 octahedra, and edges with two equivalent O(27)MnCd5 octahedra. The corner-sharing octahedral tilt angles range from 0-3°. In the twentieth O site, O(20) is bonded to one Mn(2), one Cd(16), one Cd(18), one Cd(28), one Cd(4), and one Cd(8) atom to form OMnCd5 octahedra that share  a cornercorner with one O(38)Cd6 octahedra,  a cornercorner with one O(8)Cd6 octahedra, corners with two equivalent O(12)MnCd5 octahedra, corners with two equivalent O(24)MnCd5 octahedra,  an edgeedge with one O(1)Cd6 octahedra,  an edgeedge with one O(36)Cd6 octahedra,  an edgeedge with one O(4)Cd6 octahedra,  an edgeedge with one O(40)Cd6 octahedra,  an edgeedge with one O(6)Cd6 octahedra,  an edgeedge with one O(14)MnCd5 octahedra,  an edgeedge with one O(22)MnCd5 octahedra,  an edgeedge with one O(30)MnCd5 octahedra,  an edgeedge with one O(32)MnCd5 octahedra,  an edgeedge with one O(9)MnCd5 octahedra, and edges with two equivalent O(28)MnCd5 octahedra. The corner-sharing octahedral tilt angles range from 0-3°. In the twenty-first O site, O(21) is bonded to one Mn(1), one Cd(1), one Cd(15), one Cd(17), one Cd(21), and one Cd(9) atom to form OMnCd5 octahedra that share  a cornercorner with one O(1)Cd6 octahedra,  a cornercorner with one O(35)Cd6 octahedra, corners with two equivalent O(13)MnCd5 octahedra, corners with two equivalent O(17)MnCd5 octahedra,  an edgeedge with one O(3)Cd6 octahedra,  an edgeedge with one O(33)Cd6 octahedra,  an edgeedge with one O(37)Cd6 octahedra,  an edgeedge with one O(5)Cd6 octahedra,  an edgeedge with one O(8)Cd6 octahedra,  an edgeedge with one O(11)MnCd5 octahedra,  an edgeedge with one O(16)MnCd5 octahedra,  an edgeedge with one O(19)MnCd5 octahedra,  an edgeedge with one O(25)MnCd5 octahedra,  an edgeedge with one O(27)MnCd5 octahedra, and edges with two equivalent O(29)MnCd5 octahedra. The corner-sharing octahedral tilt angles range from 0-3°. In the twenty-second O site, O(22) is bonded to one Mn(3), one Cd(10), one Cd(16), one Cd(18), one Cd(2), and one Cd(22) atom to form OMnCd5 octahedra that share  a cornercorner with one O(2)Cd6 octahedra,  a cornercorner with one O(36)Cd6 octahedra, corners with two equivalent O(14)MnCd5 octahedra, corners with two equivalent O(18)MnCd5 octahedra,  an edgeedge with one O(34)Cd6 octahedra,  an edgeedge with one O(38)Cd6 octahedra,  an edgeedge with one O(4)Cd6 octahedra,  an edgeedge with one O(6)Cd6 octahedra,  an edgeedge with one O(7)Cd6 octahedra,  an edgeedge with one O(12)MnCd5 octahedra,  an edgeedge with one O(15)MnCd5 octahedra,  an edgeedge with one O(20)MnCd5 octahedra,  an edgeedge with one O(26)MnCd5 octahedra,  an edgeedge with one O(28)MnCd5 octahedra, and edges with two equivalent O(30)MnCd5 octahedra. The corner-sharing octahedral tilt angles range from 0-3°. In the twenty-third O site, O(23) is bonded to one Mn(4), one Cd(11), one Cd(14), one Cd(19), one Cd(23), and one Cd(3) atom to form OMnCd5 octahedra that share  a cornercorner with one O(3)Cd6 octahedra,  a cornercorner with one O(34)Cd6 octahedra, corners with two equivalent O(15)MnCd5 octahedra, corners with two equivalent O(19)MnCd5 octahedra,  an edgeedge with one O(2)Cd6 octahedra,  an edgeedge with one O(35)Cd6 octahedra,  an edgeedge with one O(39)Cd6 octahedra,  an edgeedge with one O(5)Cd6 octahedra,  an edgeedge with one O(7)Cd6 octahedra,  an edgeedge with one O(10)MnCd5 octahedra,  an edgeedge with one O(13)MnCd5 octahedra,  an edgeedge with one O(18)MnCd5 octahedra,  an edgeedge with one O(26)MnCd5 octahedra,  an edgeedge with one O(27)MnCd5 octahedra, and edges with two equivalent O(31)MnCd5 octahedra. The corner-sharing octahedral tilt angles range from 0-3°. In the twenty-fourth O site, O(24) is bonded to one Mn(2), one Cd(12), one Cd(13), one Cd(20), one Cd(24), and one Cd(4) atom to form OMnCd5 octahedra that share  a cornercorner with one O(33)Cd6 octahedra,  a cornercorner with one O(4)Cd6 octahedra, corners with two equivalent O(16)MnCd5 octahedra, corners with two equivalent O(20)MnCd5 octahedra,  an edgeedge with one O(1)Cd6 octahedra,  an edgeedge with one O(36)Cd6 octahedra,  an edgeedge with one O(40)Cd6 octahedra,  an edgeedge with one O(6)Cd6 octahedra,  an edgeedge with one O(8)Cd6 octahedra,  an edgeedge with one O(14)MnCd5 octahedra,  an edgeedge with one O(17)MnCd5 octahedra,  an edgeedge with one O(25)MnCd5 octahedra,  an edgeedge with one O(28)MnCd5 octahedra,  an edgeedge with one O(9)MnCd5 octahedra, and edges with two equivalent O(32)MnCd5 octahedra. The corner-sharing octahedral tilt angles range from 0-3°. In the twenty-fifth O site, O(25) is bonded to one Mn(1), one Cd(1), one Cd(12), one Cd(13), one Cd(29), and one Cd(5) atom to form OMnCd5 octahedra that share  a cornercorner with one O(36)Cd6 octahedra,  a cornercorner with one O(13)MnCd5 octahedra, corners with two equivalent O(1)Cd6 octahedra, corners with two equivalent O(29)MnCd5 octahedra,  an edgeedge with one O(3)Cd6 octahedra,  an edgeedge with one O(33)Cd6 octahedra,  an edgeedge with one O(37)Cd6 octahedra,  an edgeedge with one O(8)Cd6 octahedra,  an edgeedge with one O(11)MnCd5 octahedra,  an edgeedge with one O(16)MnCd5 octahedra,  an edgeedge with one O(21)MnCd5 octahedra,  an edgeedge with one O(24)MnCd5 octahedra,  an edgeedge with one O(32)MnCd5 octahedra,  an edgeedge with one O(9)MnCd5 octahedra, and edges with two equivalent O(17)MnCd5 octahedra. The corner-sharing octahedral tilt angles range from 0-3°. In the twenty-sixth O site, O(26) is bonded to one Mn(3), one Cd(11), one Cd(14), one Cd(2), one Cd(30), and one Cd(6) atom to form OMnCd5 octahedra that share  a cornercorner with one O(35)Cd6 octahedra,  a cornercorner with one O(14)MnCd5 octahedra, corners with two equivalent O(2)Cd6 octahedra, corners with two equivalent O(30)MnCd5 octahedra,  an edgeedge with one O(34)Cd6 octahedra,  an edgeedge with one O(38)Cd6 octahedra,  an edgeedge with one O(4)Cd6 octahedra,  an edgeedge with one O(7)Cd6 octahedra,  an edgeedge with one O(10)MnCd5 octahedra,  an edgeedge with one O(12)MnCd5 octahedra,  an edgeedge with one O(15)MnCd5 octahedra,  an edgeedge with one O(22)MnCd5 octahedra,  an edgeedge with one O(23)MnCd5 octahedra,  an edgeedge with one O(31)MnCd5 octahedra, and edges with two equivalent O(18)MnCd5 octahedra. The corner-sharing octahedral tilt angles range from 0-3°. In the twenty-seventh O site, O(27) is bonded to one Mn(4), one Cd(15), one Cd(3), one Cd(31), one Cd(7), and one Cd(9) atom to form OMnCd5 octahedra that share  a cornercorner with one O(33)Cd6 octahedra,  a cornercorner with one O(15)MnCd5 octahedra, corners with two equivalent O(3)Cd6 octahedra, corners with two equivalent O(31)MnCd5 octahedra,  an edgeedge with one O(2)Cd6 octahedra,  an edgeedge with one O(35)Cd6 octahedra,  an edgeedge with one O(39)Cd6 octahedra,  an edgeedge with one O(5)Cd6 octahedra,  an edgeedge with one O(10)MnCd5 octahedra,  an edgeedge with one O(11)MnCd5 octahedra,  an edgeedge with one O(13)MnCd5 octahedra,  an edgeedge with one O(21)MnCd5 octahedra,  an edgeedge with one O(23)MnCd5 octahedra,  an edgeedge with one O(29)MnCd5 octahedra, and edges with two equivalent O(19)MnCd5 octahedra. The corner-sharing octahedral tilt angles range from 0-4°. In the twenty-eighth O site, O(28) is bonded to one Mn(2), one Cd(10), one Cd(16), one Cd(32), one Cd(4), and one Cd(8) atom to form OMnCd5 octahedra that share  a cornercorner with one O(34)Cd6 octahedra,  a cornercorner with one O(16)MnCd5 octahedra, corners with two equivalent O(4)Cd6 octahedra, corners with two equivalent O(32)MnCd5 octahedra,  an edgeedge with one O(1)Cd6 octahedra,  an edgeedge with one O(36)Cd6 octahedra,  an edgeedge with one O(40)Cd6 octahedra,  an edgeedge with one O(6)Cd6 octahedra,  an edgeedge with one O(12)MnCd5 octahedra,  an edgeedge with one O(14)MnCd5 octahedra,  an edgeedge with one O(22)MnCd5 octahedra,  an edgeedge with one O(24)MnCd5 octahedra,  an edgeedge with one O(30)MnCd5 octahedra,  an edgeedge with one O(9)MnCd5 octahedra, and edges with two equivalent O(20)MnCd5 octahedra. The corner-sharing octahedral tilt angles range from 0-3°. In the twenty-ninth O site, O(29) is bonded to one Mn(1), one Cd(1), one Cd(17), one Cd(33), one Cd(7), and one Cd(9) atom to form OMnCd5 octahedra that share  a cornercorner with one O(39)Cd6 octahedra,  a cornercorner with one O(9)MnCd5 octahedra, corners with two equivalent O(5)Cd6 octahedra, corners with two equivalent O(25)MnCd5 octahedra,  an edgeedge with one O(3)Cd6 octahedra,  an edgeedge with one O(33)Cd6 octahedra,  an edgeedge with one O(37)Cd6 octahedra,  an edgeedge with one O(8)Cd6 octahedra,  an edgeedge with one O(11)MnCd5 octahedra,  an edgeedge with one O(13)MnCd5 octahedra,  an edgeedge with one O(16)MnCd5 octahedra,  an edgeedge with one O(17)MnCd5 octahedra,  an edgeedge with one O(19)MnCd5 octahedra,  an edgeedge with one O(27)MnCd5 octahedra, and edges with two equivalent O(21)MnCd5 octahedra. The corner-sharing octahedral tilt angles range from 0-3°. In the thirtieth O site, O(30) is bonded to one Mn(3), one Cd(10), one Cd(18), one Cd(2), one Cd(34), and one Cd(8) atom to form OMnCd5 octahedra that share  a cornercorner with one O(40)Cd6 octahedra,  a cornercorner with one O(10)MnCd5 octahedra, corners with two equivalent O(6)Cd6 octahedra, corners with two equivalent O(26)MnCd5 octahedra,  an edgeedge with one O(34)Cd6 octahedra,  an edgeedge with one O(38)Cd6 octahedra,  an edgeedge with one O(4)Cd6 octahedra,  an edgeedge with one O(7)Cd6 octahedra,  an edgeedge with one O(12)MnCd5 octahedra,  an edgeedge with one O(14)MnCd5 octahedra,  an edgeedge with one O(15)MnCd5 octahedra,  an edgeedge with one O(18)MnCd5 octahedra,  an edgeedge with one O(20)MnCd5 octahedra,  an edgeedge with one O(28)MnCd5 octahedra, and edges with two equivalent O(22)MnCd5 octahedra. The corner-sharing octahedral tilt angles range from 0-3°. In the thirty-first O site, O(31) is bonded to one Mn(4), one Cd(11), one Cd(19), one Cd(3), one Cd(35), and one Cd(6) atom to form OMnCd5 octahedra that share  a cornercorner with one O(38)Cd6 octahedra,  a cornercorner with one O(11)MnCd5 octahedra, corners with two equivalent O(7)Cd6 octahedra, corners with two equivalent O(27)MnCd5 octahedra,  an edgeedge with one O(2)Cd6 octahedra,  an edgeedge with one O(35)Cd6 octahedra,  an edgeedge with one O(39)Cd6 octahedra,  an edgeedge with one O(5)Cd6 octahedra,  an edgeedge with one O(10)MnCd5 octahedra,  an edgeedge with one O(13)MnCd5 octahedra,  an edgeedge with one O(15)MnCd5 octahedra,  an edgeedge with one O(18)MnCd5 octahedra,  an edgeedge with one O(19)MnCd5 octahedra,  an edgeedge with one O(26)MnCd5 octahedra, and edges with two equivalent O(23)MnCd5 octahedra. The corner-sharing octahedral tilt angles range from 0-4°. In the thirty-second O site, O(32) is bonded to one Mn(2), one Cd(12), one Cd(20), one Cd(36), one Cd(4), and one Cd(5) atom to form OMnCd5 octahedra that share  a cornercorner with one O(37)Cd6 octahedra,  a cornercorner with one O(12)MnCd5 octahedra, corners with two equivalent O(8)Cd6 octahedra, corners with two equivalent O(28)MnCd5 octahedra,  an edgeedge with one O(1)Cd6 octahedra,  an edgeedge with one O(36)Cd6 octahedra,  an edgeedge with one O(40)Cd6 octahedra,  an edgeedge with one O(6)Cd6 octahedra,  an edgeedge with one O(14)MnCd5 octahedra,  an edgeedge with one O(16)MnCd5 octahedra,  an edgeedge with one O(17)MnCd5 octahedra,  an edgeedge with one O(20)MnCd5 octahedra,  an edgeedge with one O(25)MnCd5 octahedra,  an edgeedge with one O(9)MnCd5 octahedra, and edges with two equivalent O(24)MnCd5 octahedra. The corner-sharing octahedral tilt angles range from 0-3°. In the thirty-third O site, O(33) is bonded to one Cd(13), one Cd(21), one Cd(25), one Cd(29), one Cd(33), and one Cd(9) atom to form OCd6 octahedra that share  a cornercorner with one O(24)MnCd5 octahedra,  a cornercorner with one O(27)MnCd5 octahedra, corners with two equivalent O(8)Cd6 octahedra, corners with two equivalent O(11)MnCd5 octahedra,  an edgeedge with one O(1)Cd6 octahedra,  an edgeedge with one O(3)Cd6 octahedra,  an edgeedge with one O(5)Cd6 octahedra,  an edgeedge with one O(13)MnCd5 octahedra,  an edgeedge with one O(16)MnCd5 octahedra,  an edgeedge with one O(17)MnCd5 octahedra,  an edgeedge with one O(21)MnCd5 octahedra,  an edgeedge with one O(25)MnCd5 octahedra,  an edgeedge with one O(29)MnCd5 octahedra,  an edgeedge with one O(9)MnCd5 octahedra, and edges with two equivalent O(37)Cd6 octahedra. The corner-sharing octahedral tilt angles range from 1-3°. In the thirty-fourth O site, O(34) is bonded to one Cd(10), one Cd(14), one Cd(22), one Cd(26), one Cd(30), and one Cd(34) atom to form OCd6 octahedra that share  a cornercorner with one O(23)MnCd5 octahedra,  a cornercorner with one O(28)MnCd5 octahedra, corners with two equivalent O(7)Cd6 octahedra, corners with two equivalent O(12)MnCd5 octahedra,  an edgeedge with one O(2)Cd6 octahedra,  an edgeedge with one O(4)Cd6 octahedra,  an edgeedge with one O(6)Cd6 octahedra,  an edgeedge with one O(10)MnCd5 octahedra,  an edgeedge with one O(14)MnCd5 octahedra,  an edgeedge with one O(15)MnCd5 octahedra,  an edgeedge with one O(18)MnCd5 octahedra,  an edgeedge with one O(22)MnCd5 octahedra,  an edgeedge with one O(26)MnCd5 octahedra,  an edgeedge with one O(30)MnCd5 octahedra, and edges with two equivalent O(38)Cd6 octahedra. The corner-sharing octahedral tilt angles range from 1-3°. In the thirty-fifth O site, O(35) is bonded to one Cd(11), one Cd(15), one Cd(23), one Cd(27), one Cd(31), and one Cd(35) atom to form OCd6 octahedra that share  a cornercorner with one O(21)MnCd5 octahedra,  a cornercorner with one O(26)MnCd5 octahedra, corners with two equivalent O(5)Cd6 octahedra, corners with two equivalent O(10)MnCd5 octahedra,  an edgeedge with one O(2)Cd6 octahedra,  an edgeedge with one O(3)Cd6 octahedra,  an edgeedge with one O(7)Cd6 octahedra,  an edgeedge with one O(11)MnCd5 octahedra,  an edgeedge with one O(13)MnCd5 octahedra,  an edgeedge with one O(15)MnCd5 octahedra,  an edgeedge with one O(19)MnCd5 octahedra,  an edgeedge with one O(23)MnCd5 octahedra,  an edgeedge with one O(27)MnCd5 octahedra,  an edgeedge with one O(31)MnCd5 octahedra, and edges with two equivalent O(39)Cd6 octahedra. The corner-sharing octahedral tilt angles range from 1-4°. In the thirty-sixth O site, O(36) is bonded to one Cd(12), one Cd(16), one Cd(24), one Cd(28), one Cd(32), and one Cd(36) atom to form OCd6 octahedra that share  a cornercorner with one O(22)MnCd5 octahedra,  a cornercorner with one O(25)MnCd5 octahedra, corners with two equivalent O(6)Cd6 octahedra, corners with two equivalent O(9)MnCd5 octahedra,  an edgeedge with one O(1)Cd6 octahedra,  an edgeedge with one O(4)Cd6 octahedra,  an edgeedge with one O(8)Cd6 octahedra,  an edgeedge with one O(12)MnCd5 octahedra,  an edgeedge with one O(14)MnCd5 octahedra,  an edgeedge with one O(16)MnCd5 octahedra,  an edgeedge with one O(20)MnCd5 octahedra,  an edgeedge with one O(24)MnCd5 octahedra,  an edgeedge with one O(28)MnCd5 octahedra,  an edgeedge with one O(32)MnCd5 octahedra, and edges with two equivalent O(40)Cd6 octahedra. The corner-sharing octahedral tilt angles range from 1-3°. In the thirty-seventh O site, O(37) is bonded to one Cd(17), one Cd(21), one Cd(25), one Cd(29), one Cd(33), and one Cd(5) atom to form OCd6 octahedra that share  a cornercorner with one O(19)MnCd5 octahedra,  a cornercorner with one O(32)MnCd5 octahedra, corners with two equivalent O(3)Cd6 octahedra, corners with two equivalent O(16)MnCd5 octahedra,  an edgeedge with one O(1)Cd6 octahedra,  an edgeedge with one O(5)Cd6 octahedra,  an edgeedge with one O(8)Cd6 octahedra,  an edgeedge with one O(11)MnCd5 octahedra,  an edgeedge with one O(13)MnCd5 octahedra,  an edgeedge with one O(17)MnCd5 octahedra,  an edgeedge with one O(21)MnCd5 octahedra,  an edgeedge with one O(25)MnCd5 octahedra,  an edgeedge with one O(29)MnCd5 octahedra,  an edgeedge with one O(9)MnCd5 octahedra, and edges with two equivalent O(33)Cd6 octahedra. The corner-sharing octahedral tilt angles range from 1-3°. In the thirty-eighth O site, O(38) is bonded to one Cd(18), one Cd(22), one Cd(26), one Cd(30), one Cd(34), and one Cd(6) atom to form OCd6 octahedra that share  a cornercorner with one O(20)MnCd5 octahedra,  a cornercorner with one O(31)MnCd5 octahedra, corners with two equivalent O(4)Cd6 octahedra, corners with two equivalent O(15)MnCd5 octahedra,  an edgeedge with one O(2)Cd6 octahedra,  an edgeedge with one O(6)Cd6 octahedra,  an edgeedge with one O(7)Cd6 octahedra,  an edgeedge with one O(10)MnCd5 octahedra,  an edgeedge with one O(12)MnCd5 octahedra,  an edgeedge with one O(14)MnCd5 octahedra,  an edgeedge with one O(18)MnCd5 octahedra,  an edgeedge with one O(22)MnCd5 octahedra,  an edgeedge with one O(26)MnCd5 octahedra,  an edgeedge with one O(30)MnCd5 octahedra, and edges with two equivalent O(34)Cd6 octahedra. The corner-sharing octahedral tilt angles range from 1-3°. In the thirty-ninth O site, O(39) is bonded to one Cd(19), one Cd(23), one Cd(27), one Cd(31), one Cd(35), and one Cd(7) atom to form OCd6 octahedra that share  a cornercorner with one O(18)MnCd5 octahedra,  a cornercorner with one O(29)MnCd5 octahedra, corners with two equivalent O(2)Cd6 octahedra, corners with two equivalent O(13)MnCd5 octahedra,  an edgeedge with one O(3)Cd6 octahedra,  an edgeedge with one O(5)Cd6 octahedra,  an edgeedge with one O(7)Cd6 octahedra,  an edgeedge with one O(10)MnCd5 octahedra,  an edgeedge with one O(11)MnCd5 octahedra,  an edgeedge with one O(15)MnCd5 octahedra,  an edgeedge with one O(19)MnCd5 octahedra,  an edgeedge with one O(23)MnCd5 octahedra,  an edgeedge with one O(27)MnCd5 octahedra,  an edgeedge with one O(31)MnCd5 octahedra, and edges with two equivalent O(35)Cd6 octahedra. The corner-sharing octahedral tilt angles range from 1-3°. In the fortieth O site, O(40) is bonded to one Cd(20), one Cd(24), one Cd(28), one Cd(32), one Cd(36), and one Cd(8) atom to form OCd6 octahedra that share  a cornercorner with one O(17)MnCd5 octahedra,  a cornercorner with one O(30)MnCd5 octahedra, corners with two equivalent O(1)Cd6 octahedra, corners with two equivalent O(14)MnCd5 octahedra,  an edgeedge with one O(4)Cd6 octahedra,  an edgeedge with one O(6)Cd6 octahedra,  an edgeedge with one O(8)Cd6 octahedra,  an edgeedge with one O(12)MnCd5 octahedra,  an edgeedge with one O(16)MnCd5 octahedra,  an edgeedge with one O(20)MnCd5 octahedra,  an edgeedge with one O(24)MnCd5 octahedra,  an edgeedge with one O(28)MnCd5 octahedra,  an edgeedge with one O(32)MnCd5 octahedra,  an edgeedge with one O(9)MnCd5 octahedra, and edges with two equivalent O(36)Cd6 octahedra. The corner-sharing octahedral tilt angles range from 1-3°. is represented by the CIF card [CIF]
data_MnCd9O10
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.823
_cell_length_b   6.724
_cell_length_c   7.534
_cell_angle_alpha   102.859
_cell_angle_beta   97.528
_cell_angle_gamma   106.752
_symmetry_Int_Tables_number   1
_cell_volume   269.305
_cell_formula_units_Z   1
loop_
 _symmetry_equiv_pos_site_id
 _symmetry_equiv_pos_as_xyz
  1  'x, y, z'
loop_
 _atom_site_type_symbol
 _atom_site_label
 _atom_site_symmetry_multiplicity
 _atom_site_fract_x
 _atom_site_fract_y
 _atom_site_fract_z
 _atom_site_occupancy
  Cd  Cd0  1  0.000  0.500  1.000  1.0
  Cd  Cd1  1  0.400  0.802  0.800  1.0
  Cd  Cd2  1  0.599  0.198  0.200  1.0
  Cd  Cd3  1  0.405  0.300  0.803  1.0
  Cd  Cd4  1  0.595  0.700  0.197  1.0
  Cd  Cd5  1  0.199  0.398  0.399  1.0
  Cd  Cd6  1  0.801  0.602  0.601  1.0
  Cd  Cd7  1  0.803  0.100  0.599  1.0
  Cd  Cd8  1  0.197  0.901  0.401  1.0
  Mn  Mn9  1  0.000  1.000  0.000  1.0
  O  O10  1  0.103  0.450  0.699  1.0
  O  O11  1  0.897  0.550  0.301  1.0
  O  O12  1  0.098  0.953  0.711  1.0
  O  O13  1  0.902  0.047  0.289  1.0
  O  O14  1  0.709  0.663  0.905  1.0
  O  O15  1  0.291  0.337  0.095  1.0
  O  O16  1  0.715  0.144  0.904  1.0
  O  O17  1  0.285  0.856  0.096  1.0
  O  O18  1  0.502  0.250  0.504  1.0
  O  O19  1  0.498  0.750  0.496  1.0
[/CIF]
.