Co9Zn2O13 crystallizes in the monoclinic C2/m space group. There are five inequivalent Co sites. In the first Co site, Co(1) is bonded to two equivalent O(6) and four equivalent O(7) atoms to form a mixture of corner and edge-sharing CoO6 octahedra. The corner-sharing octahedral tilt angles are 5°. In the second Co site, Co(2) is bonded to one O(4), two equivalent O(1), and three equivalent O(3) atoms to form CoO6 octahedra that share corners with two equivalent Co(2)O6 octahedra, corners with two equivalent Zn(1)O6 pentagonal pyramids, and edges with five equivalent Co(2)O6 octahedra. The corner-sharing octahedra are not tilted. In the third Co site, Co(3) is bonded to one O(5), two equivalent O(6), and three equivalent O(7) atoms to form CoO6 octahedra that share corners with two equivalent Co(1)O6 octahedra, corners with three equivalent Co(5)O6 octahedra, corners with two equivalent Zn(1)O6 pentagonal pyramids, edges with three equivalent Co(1)O6 octahedra, edges with three equivalent Co(5)O6 octahedra, and edges with four equivalent Co(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 3-17°. In the fourth Co site, Co(4) is bonded in a 6-coordinate geometry to one O(1), one O(2), two equivalent O(3), and two equivalent O(4) atoms. In the fifth Co site, Co(5) is bonded to one O(2), one O(7), two equivalent O(5), and two equivalent O(6) atoms to form distorted CoO6 octahedra that share corners with three equivalent Co(3)O6 octahedra, corners with four equivalent Zn(1)O6 pentagonal pyramids, edges with two equivalent Co(1)O6 octahedra, edges with two equivalent Co(5)O6 octahedra, edges with three equivalent Co(3)O6 octahedra, and  an edgeedge with one Zn(1)O6 pentagonal pyramid. The corner-sharing octahedral tilt angles range from 3-17°. Zn(1) is bonded to two equivalent O(2), two equivalent O(4), and two equivalent O(5) atoms to form distorted ZnO6 pentagonal pyramids that share corners with two equivalent Co(2)O6 octahedra, corners with two equivalent Co(3)O6 octahedra, corners with four equivalent Co(5)O6 octahedra,  an edgeedge with one Co(5)O6 octahedra, and faces with two equivalent Zn(1)O6 pentagonal pyramids. The corner-sharing octahedral tilt angles range from 28-72°. There are seven inequivalent O sites. In the first O site, O(7) is bonded to one Co(5), two equivalent Co(1), and three equivalent Co(3) atoms to form OCo6 octahedra that share corners with two equivalent O(7)Co6 octahedra, corners with two equivalent O(6)Co5 square pyramids,  a cornercorner with one O(2)Zn2Co2 tetrahedra,  a cornercorner with one O(5)Zn2Co3 trigonal bipyramid, edges with five equivalent O(7)Co6 octahedra, edges with five equivalent O(6)Co5 square pyramids, and edges with two equivalent O(5)Zn2Co3 trigonal bipyramids. The corner-sharing octahedra are not tilted. In the second O site, O(1) is bonded to two equivalent Co(4) and four equivalent Co(2) atoms to form OCo6 octahedra that share corners with four equivalent O(3)Co5 square pyramids, corners with two equivalent O(2)Zn2Co2 tetrahedra, edges with two equivalent O(1)Co6 octahedra, edges with six equivalent O(3)Co5 square pyramids, and edges with four equivalent O(4)Zn2Co3 trigonal bipyramids. In the third O site, O(2) is bonded to one Co(4), one Co(5), and two equivalent Zn(1) atoms to form OZn2Co2 tetrahedra that share  a cornercorner with one O(1)Co6 octahedra,  a cornercorner with one O(7)Co6 octahedra, corners with two equivalent O(3)Co5 square pyramids, corners with two equivalent O(6)Co5 square pyramids, corners with two equivalent O(2)Zn2Co2 tetrahedra, corners with four equivalent O(4)Zn2Co3 trigonal bipyramids, corners with four equivalent O(5)Zn2Co3 trigonal bipyramids,  an edgeedge with one O(4)Zn2Co3 trigonal bipyramid, and  an edgeedge with one O(5)Zn2Co3 trigonal bipyramid. The corner-sharing octahedral tilt angles range from 5-8°. In the fourth O site, O(3) is bonded to two equivalent Co(4) and three equivalent Co(2) atoms to form OCo5 square pyramids that share corners with two equivalent O(1)Co6 octahedra, corners with two equivalent O(2)Zn2Co2 tetrahedra, corners with five equivalent O(4)Zn2Co3 trigonal bipyramids, edges with three equivalent O(1)Co6 octahedra, edges with four equivalent O(3)Co5 square pyramids, and  an edgeedge with one O(4)Zn2Co3 trigonal bipyramid. The corner-sharing octahedral tilt angles are 7°. In the fifth O site, O(4) is bonded to one Co(2), two equivalent Co(4), and two equivalent Zn(1) atoms to form distorted OZn2Co3 trigonal bipyramids that share corners with five equivalent O(3)Co5 square pyramids, corners with four equivalent O(2)Zn2Co2 tetrahedra, corners with two equivalent O(5)Zn2Co3 trigonal bipyramids, edges with two equivalent O(1)Co6 octahedra,  an edgeedge with one O(3)Co5 square pyramid,  an edgeedge with one O(2)Zn2Co2 tetrahedra,  an edgeedge with one O(5)Zn2Co3 trigonal bipyramid, and edges with two equivalent O(4)Zn2Co3 trigonal bipyramids. In the sixth O site, O(5) is bonded to one Co(3), two equivalent Co(5), and two equivalent Zn(1) atoms to form distorted OZn2Co3 trigonal bipyramids that share  a cornercorner with one O(7)Co6 octahedra, corners with four equivalent O(6)Co5 square pyramids, corners with four equivalent O(2)Zn2Co2 tetrahedra, corners with two equivalent O(4)Zn2Co3 trigonal bipyramids, edges with two equivalent O(7)Co6 octahedra,  an edgeedge with one O(6)Co5 square pyramid,  an edgeedge with one O(2)Zn2Co2 tetrahedra,  an edgeedge with one O(4)Zn2Co3 trigonal bipyramid, and edges with two equivalent O(5)Zn2Co3 trigonal bipyramids. The corner-sharing octahedral tilt angles are 1°. In the seventh O site, O(6) is bonded to one Co(1), two equivalent Co(3), and two equivalent Co(5) atoms to form OCo5 square pyramids that share corners with two equivalent O(7)Co6 octahedra,  a cornercorner with one O(6)Co5 square pyramid, corners with two equivalent O(2)Zn2Co2 tetrahedra, corners with four equivalent O(5)Zn2Co3 trigonal bipyramids, edges with five equivalent O(7)Co6 octahedra, edges with two equivalent O(6)Co5 square pyramids, and  an edgeedge with one O(5)Zn2Co3 trigonal bipyramid. The corner-sharing octahedral tilt angles are 9°.
Co9Zn2O13 crystallizes in the monoclinic C2/m space group. There are five inequivalent Co sites. In the first Co site, Co(1) is bonded to two equivalent O(6) and four equivalent O(7) atoms to form a mixture of corner and edge-sharing CoO6 octahedra. The corner-sharing octahedral tilt angles are 5°. Both Co(1)-O(6) bond lengths are 1.99 Å. All Co(1)-O(7) bond lengths are 2.04 Å. In the second Co site, Co(2) is bonded to one O(4), two equivalent O(1), and three equivalent O(3) atoms to form CoO6 octahedra that share corners with two equivalent Co(2)O6 octahedra, corners with two equivalent Zn(1)O6 pentagonal pyramids, and edges with five equivalent Co(2)O6 octahedra. The corner-sharing octahedra are not tilted. The Co(2)-O(4) bond length is 1.97 Å. Both Co(2)-O(1) bond lengths are 2.07 Å. There is one shorter (2.04 Å) and two longer (2.14 Å) Co(2)-O(3) bond lengths. In the third Co site, Co(3) is bonded to one O(5), two equivalent O(6), and three equivalent O(7) atoms to form CoO6 octahedra that share corners with two equivalent Co(1)O6 octahedra, corners with three equivalent Co(5)O6 octahedra, corners with two equivalent Zn(1)O6 pentagonal pyramids, edges with three equivalent Co(1)O6 octahedra, edges with three equivalent Co(5)O6 octahedra, and edges with four equivalent Co(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 3-17°. The Co(3)-O(5) bond length is 2.02 Å. Both Co(3)-O(6) bond lengths are 2.10 Å. There are two shorter (2.17 Å) and one longer (2.18 Å) Co(3)-O(7) bond length. In the fourth Co site, Co(4) is bonded in a 6-coordinate geometry to one O(1), one O(2), two equivalent O(3), and two equivalent O(4) atoms. The Co(4)-O(1) bond length is 2.36 Å. The Co(4)-O(2) bond length is 1.84 Å. Both Co(4)-O(3) bond lengths are 2.08 Å. Both Co(4)-O(4) bond lengths are 2.03 Å. In the fifth Co site, Co(5) is bonded to one O(2), one O(7), two equivalent O(5), and two equivalent O(6) atoms to form distorted CoO6 octahedra that share corners with three equivalent Co(3)O6 octahedra, corners with four equivalent Zn(1)O6 pentagonal pyramids, edges with two equivalent Co(1)O6 octahedra, edges with two equivalent Co(5)O6 octahedra, edges with three equivalent Co(3)O6 octahedra, and  an edgeedge with one Zn(1)O6 pentagonal pyramid. The corner-sharing octahedral tilt angles range from 3-17°. The Co(5)-O(2) bond length is 2.07 Å. The Co(5)-O(7) bond length is 2.44 Å. Both Co(5)-O(5) bond lengths are 2.08 Å. Both Co(5)-O(6) bond lengths are 2.13 Å. Zn(1) is bonded to two equivalent O(2), two equivalent O(4), and two equivalent O(5) atoms to form distorted ZnO6 pentagonal pyramids that share corners with two equivalent Co(2)O6 octahedra, corners with two equivalent Co(3)O6 octahedra, corners with four equivalent Co(5)O6 octahedra,  an edgeedge with one Co(5)O6 octahedra, and faces with two equivalent Zn(1)O6 pentagonal pyramids. The corner-sharing octahedral tilt angles range from 28-72°. Both Zn(1)-O(2) bond lengths are 2.11 Å. Both Zn(1)-O(4) bond lengths are 2.36 Å. Both Zn(1)-O(5) bond lengths are 2.14 Å. There are seven inequivalent O sites. In the first O site, O(7) is bonded to one Co(5), two equivalent Co(1), and three equivalent Co(3) atoms to form OCo6 octahedra that share corners with two equivalent O(7)Co6 octahedra, corners with two equivalent O(6)Co5 square pyramids,  a cornercorner with one O(2)Zn2Co2 tetrahedra,  a cornercorner with one O(5)Zn2Co3 trigonal bipyramid, edges with five equivalent O(7)Co6 octahedra, edges with five equivalent O(6)Co5 square pyramids, and edges with two equivalent O(5)Zn2Co3 trigonal bipyramids. The corner-sharing octahedra are not tilted. In the second O site, O(1) is bonded to two equivalent Co(4) and four equivalent Co(2) atoms to form OCo6 octahedra that share corners with four equivalent O(3)Co5 square pyramids, corners with two equivalent O(2)Zn2Co2 tetrahedra, edges with two equivalent O(1)Co6 octahedra, edges with six equivalent O(3)Co5 square pyramids, and edges with four equivalent O(4)Zn2Co3 trigonal bipyramids. In the third O site, O(2) is bonded to one Co(4), one Co(5), and two equivalent Zn(1) atoms to form OZn2Co2 tetrahedra that share  a cornercorner with one O(1)Co6 octahedra,  a cornercorner with one O(7)Co6 octahedra, corners with two equivalent O(3)Co5 square pyramids, corners with two equivalent O(6)Co5 square pyramids, corners with two equivalent O(2)Zn2Co2 tetrahedra, corners with four equivalent O(4)Zn2Co3 trigonal bipyramids, corners with four equivalent O(5)Zn2Co3 trigonal bipyramids,  an edgeedge with one O(4)Zn2Co3 trigonal bipyramid, and  an edgeedge with one O(5)Zn2Co3 trigonal bipyramid. The corner-sharing octahedral tilt angles range from 5-8°. In the fourth O site, O(3) is bonded to two equivalent Co(4) and three equivalent Co(2) atoms to form OCo5 square pyramids that share corners with two equivalent O(1)Co6 octahedra, corners with two equivalent O(2)Zn2Co2 tetrahedra, corners with five equivalent O(4)Zn2Co3 trigonal bipyramids, edges with three equivalent O(1)Co6 octahedra, edges with four equivalent O(3)Co5 square pyramids, and  an edgeedge with one O(4)Zn2Co3 trigonal bipyramid. The corner-sharing octahedral tilt angles are 7°. In the fifth O site, O(4) is bonded to one Co(2), two equivalent Co(4), and two equivalent Zn(1) atoms to form distorted OZn2Co3 trigonal bipyramids that share corners with five equivalent O(3)Co5 square pyramids, corners with four equivalent O(2)Zn2Co2 tetrahedra, corners with two equivalent O(5)Zn2Co3 trigonal bipyramids, edges with two equivalent O(1)Co6 octahedra,  an edgeedge with one O(3)Co5 square pyramid,  an edgeedge with one O(2)Zn2Co2 tetrahedra,  an edgeedge with one O(5)Zn2Co3 trigonal bipyramid, and edges with two equivalent O(4)Zn2Co3 trigonal bipyramids. In the sixth O site, O(5) is bonded to one Co(3), two equivalent Co(5), and two equivalent Zn(1) atoms to form distorted OZn2Co3 trigonal bipyramids that share  a cornercorner with one O(7)Co6 octahedra, corners with four equivalent O(6)Co5 square pyramids, corners with four equivalent O(2)Zn2Co2 tetrahedra, corners with two equivalent O(4)Zn2Co3 trigonal bipyramids, edges with two equivalent O(7)Co6 octahedra,  an edgeedge with one O(6)Co5 square pyramid,  an edgeedge with one O(2)Zn2Co2 tetrahedra,  an edgeedge with one O(4)Zn2Co3 trigonal bipyramid, and edges with two equivalent O(5)Zn2Co3 trigonal bipyramids. The corner-sharing octahedral tilt angles are 1°. In the seventh O site, O(6) is bonded to one Co(1), two equivalent Co(3), and two equivalent Co(5) atoms to form OCo5 square pyramids that share corners with two equivalent O(7)Co6 octahedra,  a cornercorner with one O(6)Co5 square pyramid, corners with two equivalent O(2)Zn2Co2 tetrahedra, corners with four equivalent O(5)Zn2Co3 trigonal bipyramids, edges with five equivalent O(7)Co6 octahedra, edges with two equivalent O(6)Co5 square pyramids, and  an edgeedge with one O(5)Zn2Co3 trigonal bipyramid. The corner-sharing octahedral tilt angles are 9°.