The structure described by Co9Zn3O16 is Spinel-like structured and crystallizes in the trigonal R3m space group. There are five inequivalent Co sites. In the first Co site, Co(1) is bonded to one O(2), one O(6), two equivalent O(1), and two equivalent O(3) atoms to form CoO6 octahedra that share  a cornercorner with one Co(2)O4 tetrahedra,  a cornercorner with one Co(3)O4 tetrahedra, corners with two equivalent Zn(2)O4 tetrahedra, corners with two equivalent Zn(3)O4 tetrahedra,  an edgeedge with one Co(5)O6 octahedra,  an edgeedge with one Zn(1)O6 octahedra, and edges with four equivalent Co(1)O6 octahedra. In the second Co site, Co(2) is bonded to one O(6) and three equivalent O(4) atoms to form CoO4 tetrahedra that share corners with three equivalent Co(1)O6 octahedra, corners with three equivalent Zn(1)O6 octahedra, and corners with six equivalent Co(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 56-64°. In the third Co site, Co(3) is bonded to one O(2) and three equivalent O(7) atoms to form corner-sharing CoO4 tetrahedra. The corner-sharing octahedral tilt angles range from 59-60°. In the fourth Co site, Co(4) is bonded to one O(5), one O(8), two equivalent O(4), and two equivalent O(7) atoms to form CoO6 octahedra that share  a cornercorner with one Zn(2)O4 tetrahedra,  a cornercorner with one Zn(3)O4 tetrahedra, corners with two equivalent Co(2)O4 tetrahedra, corners with two equivalent Co(3)O4 tetrahedra,  an edgeedge with one Co(5)O6 octahedra,  an edgeedge with one Zn(1)O6 octahedra, and edges with four equivalent Co(4)O6 octahedra. In the fifth Co site, Co(5) is bonded to three equivalent O(3) and three equivalent O(7) atoms to form CoO6 octahedra that share corners with three equivalent Co(3)O4 tetrahedra, corners with three equivalent Zn(3)O4 tetrahedra, edges with three equivalent Co(1)O6 octahedra, and edges with three equivalent Co(4)O6 octahedra. There are three inequivalent Zn sites. In the first Zn site, Zn(1) is bonded to three equivalent O(1) and three equivalent O(4) atoms to form ZnO6 octahedra that share corners with three equivalent Co(2)O4 tetrahedra, corners with three equivalent Zn(2)O4 tetrahedra, edges with three equivalent Co(1)O6 octahedra, and edges with three equivalent Co(4)O6 octahedra. In the second Zn site, Zn(2) is bonded to one O(8) and three equivalent O(1) atoms to form ZnO4 tetrahedra that share corners with three equivalent Co(4)O6 octahedra, corners with three equivalent Zn(1)O6 octahedra, and corners with six equivalent Co(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 57-64°. In the third Zn site, Zn(3) is bonded to one O(5) and three equivalent O(3) atoms to form ZnO4 tetrahedra that share corners with three equivalent Co(4)O6 octahedra, corners with three equivalent Co(5)O6 octahedra, and corners with six equivalent Co(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 59-60°. There are eight inequivalent O sites. In the first O site, O(1) is bonded in a distorted rectangular see-saw-like geometry to two equivalent Co(1), one Zn(1), and one Zn(2) atom. In the second O site, O(2) is bonded to one Co(3) and three equivalent Co(1) atoms to form distorted OCo4 trigonal pyramids that share corners with six equivalent O(3)ZnCo3 tetrahedra, corners with three equivalent O(6)Co4 trigonal pyramids, and corners with three equivalent O(7)Co4 trigonal pyramids. In the third O site, O(3) is bonded to one Co(5), two equivalent Co(1), and one Zn(3) atom to form distorted OZnCo3 tetrahedra that share  a cornercorner with one O(5)ZnCo3 tetrahedra, corners with two equivalent O(3)ZnCo3 tetrahedra, corners with two equivalent O(2)Co4 trigonal pyramids, corners with three equivalent O(7)Co4 trigonal pyramids, edges with two equivalent O(3)ZnCo3 tetrahedra, and  an edgeedge with one O(6)Co4 trigonal pyramid. In the fourth O site, O(4) is bonded in a rectangular see-saw-like geometry to one Co(2), two equivalent Co(4), and one Zn(1) atom. In the fifth O site, O(5) is bonded to three equivalent Co(4) and one Zn(3) atom to form distorted OZnCo3 tetrahedra that share corners with three equivalent O(3)ZnCo3 tetrahedra, corners with three equivalent O(8)ZnCo3 trigonal pyramids, and corners with six equivalent O(7)Co4 trigonal pyramids. In the sixth O site, O(6) is bonded to one Co(2) and three equivalent Co(1) atoms to form distorted OCo4 trigonal pyramids that share corners with three equivalent O(2)Co4 trigonal pyramids and edges with three equivalent O(3)ZnCo3 tetrahedra. In the seventh O site, O(7) is bonded to one Co(3), one Co(5), and two equivalent Co(4) atoms to form distorted OCo4 trigonal pyramids that share corners with two equivalent O(5)ZnCo3 tetrahedra, corners with three equivalent O(3)ZnCo3 tetrahedra,  a cornercorner with one O(2)Co4 trigonal pyramid, corners with two equivalent O(7)Co4 trigonal pyramids,  an edgeedge with one O(8)ZnCo3 trigonal pyramid, and edges with two equivalent O(7)Co4 trigonal pyramids. In the eighth O site, O(8) is bonded to three equivalent Co(4) and one Zn(2) atom to form distorted OZnCo3 trigonal pyramids that share corners with three equivalent O(5)ZnCo3 tetrahedra and edges with three equivalent O(7)Co4 trigonal pyramids. is represented by the CIF card [CIF]
data_Zn3Co9O16
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   10.079
_cell_length_b   10.079
_cell_length_c   10.079
_cell_angle_alpha   33.332
_cell_angle_beta   33.332
_cell_angle_gamma   33.332
_symmetry_Int_Tables_number   1
_cell_volume   275.285
_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
  Zn  Zn0  1  0.312  0.312  0.312  1.0
  Zn  Zn1  1  0.624  0.624  0.624  1.0
  Zn  Zn2  1  0.501  0.501  0.501  1.0
  Co  Co3  1  0.562  0.061  0.061  1.0
  Co  Co4  1  0.001  0.001  0.001  1.0
  Co  Co5  1  0.061  0.061  0.562  1.0
  Co  Co6  1  0.061  0.562  0.061  1.0
  Co  Co7  1  0.125  0.125  0.125  1.0
  Co  Co8  1  0.564  0.062  0.564  1.0
  Co  Co9  1  0.564  0.564  0.062  1.0
  Co  Co10  1  0.062  0.564  0.564  1.0
  Co  Co11  1  0.813  0.813  0.813  1.0
  O  O12  1  0.959  0.417  0.417  1.0
  O  O13  1  0.193  0.193  0.193  1.0
  O  O14  1  0.709  0.150  0.709  1.0
  O  O15  1  0.709  0.709  0.150  1.0
  O  O16  1  0.417  0.417  0.959  1.0
  O  O17  1  0.417  0.959  0.417  1.0
  O  O18  1  0.150  0.709  0.709  1.0
  O  O19  1  0.672  0.205  0.205  1.0
  O  O20  1  0.431  0.431  0.431  1.0
  O  O21  1  0.931  0.931  0.931  1.0
  O  O22  1  0.205  0.672  0.205  1.0
  O  O23  1  0.205  0.205  0.672  1.0
  O  O24  1  0.917  0.917  0.474  1.0
  O  O25  1  0.917  0.474  0.917  1.0
  O  O26  1  0.474  0.917  0.917  1.0
  O  O27  1  0.695  0.695  0.695  1.0
[/CIF]
.
The structure described by Co9Zn3O16 is Spinel-like structured and crystallizes in the trigonal R3m space group. There are five inequivalent Co sites. In the first Co site, Co(1) is bonded to one O(2), one O(6), two equivalent O(1), and two equivalent O(3) atoms to form CoO6 octahedra that share  a cornercorner with one Co(2)O4 tetrahedra,  a cornercorner with one Co(3)O4 tetrahedra, corners with two equivalent Zn(2)O4 tetrahedra, corners with two equivalent Zn(3)O4 tetrahedra,  an edgeedge with one Co(5)O6 octahedra,  an edgeedge with one Zn(1)O6 octahedra, and edges with four equivalent Co(1)O6 octahedra. In the second Co site, Co(2) is bonded to one O(6) and three equivalent O(4) atoms to form CoO4 tetrahedra that share corners with three equivalent Co(1)O6 octahedra, corners with three equivalent Zn(1)O6 octahedra, and corners with six equivalent Co(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 56-64°. In the third Co site, Co(3) is bonded to one O(2) and three equivalent O(7) atoms to form corner-sharing CoO4 tetrahedra. The corner-sharing octahedral tilt angles range from 59-60°. In the fourth Co site, Co(4) is bonded to one O(5), one O(8), two equivalent O(4), and two equivalent O(7) atoms to form CoO6 octahedra that share  a cornercorner with one Zn(2)O4 tetrahedra,  a cornercorner with one Zn(3)O4 tetrahedra, corners with two equivalent Co(2)O4 tetrahedra, corners with two equivalent Co(3)O4 tetrahedra,  an edgeedge with one Co(5)O6 octahedra,  an edgeedge with one Zn(1)O6 octahedra, and edges with four equivalent Co(4)O6 octahedra. In the fifth Co site, Co(5) is bonded to three equivalent O(3) and three equivalent O(7) atoms to form CoO6 octahedra that share corners with three equivalent Co(3)O4 tetrahedra, corners with three equivalent Zn(3)O4 tetrahedra, edges with three equivalent Co(1)O6 octahedra, and edges with three equivalent Co(4)O6 octahedra. There are three inequivalent Zn sites. In the first Zn site, Zn(1) is bonded to three equivalent O(1) and three equivalent O(4) atoms to form ZnO6 octahedra that share corners with three equivalent Co(2)O4 tetrahedra, corners with three equivalent Zn(2)O4 tetrahedra, edges with three equivalent Co(1)O6 octahedra, and edges with three equivalent Co(4)O6 octahedra. In the second Zn site, Zn(2) is bonded to one O(8) and three equivalent O(1) atoms to form ZnO4 tetrahedra that share corners with three equivalent Co(4)O6 octahedra, corners with three equivalent Zn(1)O6 octahedra, and corners with six equivalent Co(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 57-64°. In the third Zn site, Zn(3) is bonded to one O(5) and three equivalent O(3) atoms to form ZnO4 tetrahedra that share corners with three equivalent Co(4)O6 octahedra, corners with three equivalent Co(5)O6 octahedra, and corners with six equivalent Co(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 59-60°. There are eight inequivalent O sites. In the first O site, O(1) is bonded in a distorted rectangular see-saw-like geometry to two equivalent Co(1), one Zn(1), and one Zn(2) atom. In the second O site, O(2) is bonded to one Co(3) and three equivalent Co(1) atoms to form distorted OCo4 trigonal pyramids that share corners with six equivalent O(3)ZnCo3 tetrahedra, corners with three equivalent O(6)Co4 trigonal pyramids, and corners with three equivalent O(7)Co4 trigonal pyramids. In the third O site, O(3) is bonded to one Co(5), two equivalent Co(1), and one Zn(3) atom to form distorted OZnCo3 tetrahedra that share  a cornercorner with one O(5)ZnCo3 tetrahedra, corners with two equivalent O(3)ZnCo3 tetrahedra, corners with two equivalent O(2)Co4 trigonal pyramids, corners with three equivalent O(7)Co4 trigonal pyramids, edges with two equivalent O(3)ZnCo3 tetrahedra, and  an edgeedge with one O(6)Co4 trigonal pyramid. In the fourth O site, O(4) is bonded in a rectangular see-saw-like geometry to one Co(2), two equivalent Co(4), and one Zn(1) atom. In the fifth O site, O(5) is bonded to three equivalent Co(4) and one Zn(3) atom to form distorted OZnCo3 tetrahedra that share corners with three equivalent O(3)ZnCo3 tetrahedra, corners with three equivalent O(8)ZnCo3 trigonal pyramids, and corners with six equivalent O(7)Co4 trigonal pyramids. In the sixth O site, O(6) is bonded to one Co(2) and three equivalent Co(1) atoms to form distorted OCo4 trigonal pyramids that share corners with three equivalent O(2)Co4 trigonal pyramids and edges with three equivalent O(3)ZnCo3 tetrahedra. In the seventh O site, O(7) is bonded to one Co(3), one Co(5), and two equivalent Co(4) atoms to form distorted OCo4 trigonal pyramids that share corners with two equivalent O(5)ZnCo3 tetrahedra, corners with three equivalent O(3)ZnCo3 tetrahedra,  a cornercorner with one O(2)Co4 trigonal pyramid, corners with two equivalent O(7)Co4 trigonal pyramids,  an edgeedge with one O(8)ZnCo3 trigonal pyramid, and edges with two equivalent O(7)Co4 trigonal pyramids. In the eighth O site, O(8) is bonded to three equivalent Co(4) and one Zn(2) atom to form distorted OZnCo3 trigonal pyramids that share corners with three equivalent O(5)ZnCo3 tetrahedra and edges with three equivalent O(7)Co4 trigonal pyramids. is represented by the CIF card [CIF]
data_Zn3Co9O16
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   10.079
_cell_length_b   10.079
_cell_length_c   10.079
_cell_angle_alpha   33.332
_cell_angle_beta   33.332
_cell_angle_gamma   33.332
_symmetry_Int_Tables_number   1
_cell_volume   275.285
_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
  Zn  Zn0  1  0.312  0.312  0.312  1.0
  Zn  Zn1  1  0.624  0.624  0.624  1.0
  Zn  Zn2  1  0.501  0.501  0.501  1.0
  Co  Co3  1  0.562  0.061  0.061  1.0
  Co  Co4  1  0.001  0.001  0.001  1.0
  Co  Co5  1  0.061  0.061  0.562  1.0
  Co  Co6  1  0.061  0.562  0.061  1.0
  Co  Co7  1  0.125  0.125  0.125  1.0
  Co  Co8  1  0.564  0.062  0.564  1.0
  Co  Co9  1  0.564  0.564  0.062  1.0
  Co  Co10  1  0.062  0.564  0.564  1.0
  Co  Co11  1  0.813  0.813  0.813  1.0
  O  O12  1  0.959  0.417  0.417  1.0
  O  O13  1  0.193  0.193  0.193  1.0
  O  O14  1  0.709  0.150  0.709  1.0
  O  O15  1  0.709  0.709  0.150  1.0
  O  O16  1  0.417  0.417  0.959  1.0
  O  O17  1  0.417  0.959  0.417  1.0
  O  O18  1  0.150  0.709  0.709  1.0
  O  O19  1  0.672  0.205  0.205  1.0
  O  O20  1  0.431  0.431  0.431  1.0
  O  O21  1  0.931  0.931  0.931  1.0
  O  O22  1  0.205  0.672  0.205  1.0
  O  O23  1  0.205  0.205  0.672  1.0
  O  O24  1  0.917  0.917  0.474  1.0
  O  O25  1  0.917  0.474  0.917  1.0
  O  O26  1  0.474  0.917  0.917  1.0
  O  O27  1  0.695  0.695  0.695  1.0
[/CIF]
.