The material structure described by MgZn(CoO2)4 crystallizes in the triclinic P1 space group. Mg(1) is bonded to one O(5), one O(6), and two equivalent O(3) atoms to form MgO4 tetrahedra that share  a cornercorner with one Co(3)O6 octahedra, corners with two equivalent Co(1)O6 octahedra,  a cornercorner with one Co(4)O5 square pyramid, corners with two equivalent Mg(1)O4 tetrahedra, corners with two equivalent Co(2)O4 tetrahedra, corners with two equivalent Zn(1)O5 trigonal bipyramids, and  an edgeedge with one Co(2)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 64-66°. There are four inequivalent Co sites. In the first Co site, Co(1) is bonded to one O(2), one O(7), two equivalent O(4), and two equivalent O(5) atoms to form CoO6 octahedra that share corners with two equivalent Co(3)O6 octahedra, corners with two equivalent Mg(1)O4 tetrahedra, corners with two equivalent Co(2)O4 tetrahedra, edges with two equivalent Co(1)O6 octahedra, edges with two equivalent Co(4)O5 square pyramids, and edges with two equivalent Zn(1)O5 trigonal bipyramids. The corner-sharing octahedral tilt angles range from 49-51°. In the second Co site, Co(2) is bonded to one O(4), one O(8), and two equivalent O(3) atoms to form distorted CoO4 tetrahedra that share corners with two equivalent Co(1)O6 octahedra, corners with two equivalent Co(3)O6 octahedra, corners with two equivalent Mg(1)O4 tetrahedra, corners with two equivalent Co(2)O4 tetrahedra,  a cornercorner with one Zn(1)O5 trigonal bipyramid, and  an edgeedge with one Mg(1)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 46-52°. In the third Co site, Co(3) is bonded to one O(1), one O(6), two equivalent O(2), and two equivalent O(8) atoms to form CoO6 octahedra that share corners with two equivalent Co(1)O6 octahedra, corners with two equivalent Co(4)O5 square pyramids,  a cornercorner with one Mg(1)O4 tetrahedra, corners with two equivalent Co(2)O4 tetrahedra, corners with two equivalent Zn(1)O5 trigonal bipyramids, and edges with two equivalent Co(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 49-51°. In the fourth Co site, Co(4) is bonded to one O(5), two equivalent O(1), and two equivalent O(7) atoms to form distorted CoO5 square pyramids that share corners with two equivalent Co(3)O6 octahedra,  a cornercorner with one Mg(1)O4 tetrahedra, corners with two equivalent Zn(1)O5 trigonal bipyramids, edges with two equivalent Co(1)O6 octahedra, edges with two equivalent Co(4)O5 square pyramids, and  an edgeedge with one Zn(1)O5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 57°. Zn(1) is bonded to one O(4), two equivalent O(6), and two equivalent O(7) atoms to form distorted ZnO5 trigonal bipyramids that share corners with two equivalent Co(3)O6 octahedra, corners with two equivalent Co(4)O5 square pyramids,  a cornercorner with one Co(2)O4 tetrahedra, corners with two equivalent Mg(1)O4 tetrahedra, edges with two equivalent Co(1)O6 octahedra,  an edgeedge with one Co(4)O5 square pyramid, and edges with two equivalent Zn(1)O5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 67°. There are eight inequivalent O sites. In the first O site, O(1) is bonded in a trigonal planar geometry to one Co(3) and two equivalent Co(4) atoms. In the second O site, O(2) is bonded in a trigonal planar geometry to one Co(1) and two equivalent Co(3) atoms. In the third O site, O(3) is bonded in a rectangular see-saw-like geometry to two equivalent Mg(1) and two equivalent Co(2) atoms. In the fourth O site, O(4) is bonded in a rectangular see-saw-like geometry to one Co(2), two equivalent Co(1), and one Zn(1) atom. In the fifth O site, O(5) is bonded to one Mg(1), one Co(4), and two equivalent Co(1) atoms to form distorted OMgCo3 tetrahedra that share  a cornercorner with one O(6)MgZn2Co tetrahedra, corners with two equivalent O(5)MgCo3 tetrahedra, and edges with two equivalent O(7)Zn2Co3 square pyramids. In the sixth O site, O(6) is bonded to one Mg(1), one Co(3), and two equivalent Zn(1) atoms to form OMgZn2Co tetrahedra that share corners with two equivalent O(7)Zn2Co3 square pyramids,  a cornercorner with one O(5)MgCo3 tetrahedra, corners with two equivalent O(6)MgZn2Co tetrahedra, and  an edgeedge with one O(7)Zn2Co3 square pyramid. In the seventh O site, O(7) is bonded to one Co(1), two equivalent Co(4), and two equivalent Zn(1) atoms to form OZn2Co3 square pyramids that share corners with two equivalent O(6)MgZn2Co tetrahedra, edges with two equivalent O(7)Zn2Co3 square pyramids,  an edgeedge with one O(6)MgZn2Co tetrahedra, and edges with two equivalent O(5)MgCo3 tetrahedra. In the eighth O site, O(8) is bonded in a distorted trigonal planar geometry to one Co(2) and two equivalent Co(3) atoms. is represented by the CIF file [CIF]
data_MgZn(CoO2)4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   2.954
_cell_length_b   7.544
_cell_length_c   7.867
_cell_angle_alpha   67.839
_cell_angle_beta   79.375
_cell_angle_gamma   78.883
_symmetry_Int_Tables_number   1
_cell_volume   158.147
_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
  Mg  Mg0  1  0.033  0.949  0.981  1.0
  Zn  Zn1  1  0.306  0.154  0.230  1.0
  Co  Co2  1  0.613  0.204  0.571  1.0
  Co  Co3  1  0.130  0.566  0.167  1.0
  Co  Co4  1  0.864  0.418  0.846  1.0
  Co  Co5  1  0.289  0.828  0.588  1.0
  O  O6  1  0.844  0.659  0.648  1.0
  O  O7  1  0.459  0.335  0.734  1.0
  O  O8  1  0.562  0.760  0.113  1.0
  O  O9  1  0.135  0.350  0.379  1.0
  O  O10  1  0.135  0.016  0.714  1.0
  O  O11  1  0.882  0.176  0.051  1.0
  O  O12  1  0.780  0.010  0.429  1.0
  O  O13  1  0.265  0.506  0.959  1.0
[/CIF]
.
The material structure described by MgZn(CoO2)4 crystallizes in the triclinic P1 space group. Mg(1) is bonded to one O(5), one O(6), and two equivalent O(3) atoms to form MgO4 tetrahedra that share  a cornercorner with one Co(3)O6 octahedra, corners with two equivalent Co(1)O6 octahedra,  a cornercorner with one Co(4)O5 square pyramid, corners with two equivalent Mg(1)O4 tetrahedra, corners with two equivalent Co(2)O4 tetrahedra, corners with two equivalent Zn(1)O5 trigonal bipyramids, and  an edgeedge with one Co(2)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 64-66°. There are four inequivalent Co sites. In the first Co site, Co(1) is bonded to one O(2), one O(7), two equivalent O(4), and two equivalent O(5) atoms to form CoO6 octahedra that share corners with two equivalent Co(3)O6 octahedra, corners with two equivalent Mg(1)O4 tetrahedra, corners with two equivalent Co(2)O4 tetrahedra, edges with two equivalent Co(1)O6 octahedra, edges with two equivalent Co(4)O5 square pyramids, and edges with two equivalent Zn(1)O5 trigonal bipyramids. The corner-sharing octahedral tilt angles range from 49-51°. In the second Co site, Co(2) is bonded to one O(4), one O(8), and two equivalent O(3) atoms to form distorted CoO4 tetrahedra that share corners with two equivalent Co(1)O6 octahedra, corners with two equivalent Co(3)O6 octahedra, corners with two equivalent Mg(1)O4 tetrahedra, corners with two equivalent Co(2)O4 tetrahedra,  a cornercorner with one Zn(1)O5 trigonal bipyramid, and  an edgeedge with one Mg(1)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 46-52°. In the third Co site, Co(3) is bonded to one O(1), one O(6), two equivalent O(2), and two equivalent O(8) atoms to form CoO6 octahedra that share corners with two equivalent Co(1)O6 octahedra, corners with two equivalent Co(4)O5 square pyramids,  a cornercorner with one Mg(1)O4 tetrahedra, corners with two equivalent Co(2)O4 tetrahedra, corners with two equivalent Zn(1)O5 trigonal bipyramids, and edges with two equivalent Co(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 49-51°. In the fourth Co site, Co(4) is bonded to one O(5), two equivalent O(1), and two equivalent O(7) atoms to form distorted CoO5 square pyramids that share corners with two equivalent Co(3)O6 octahedra,  a cornercorner with one Mg(1)O4 tetrahedra, corners with two equivalent Zn(1)O5 trigonal bipyramids, edges with two equivalent Co(1)O6 octahedra, edges with two equivalent Co(4)O5 square pyramids, and  an edgeedge with one Zn(1)O5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 57°. Zn(1) is bonded to one O(4), two equivalent O(6), and two equivalent O(7) atoms to form distorted ZnO5 trigonal bipyramids that share corners with two equivalent Co(3)O6 octahedra, corners with two equivalent Co(4)O5 square pyramids,  a cornercorner with one Co(2)O4 tetrahedra, corners with two equivalent Mg(1)O4 tetrahedra, edges with two equivalent Co(1)O6 octahedra,  an edgeedge with one Co(4)O5 square pyramid, and edges with two equivalent Zn(1)O5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 67°. There are eight inequivalent O sites. In the first O site, O(1) is bonded in a trigonal planar geometry to one Co(3) and two equivalent Co(4) atoms. In the second O site, O(2) is bonded in a trigonal planar geometry to one Co(1) and two equivalent Co(3) atoms. In the third O site, O(3) is bonded in a rectangular see-saw-like geometry to two equivalent Mg(1) and two equivalent Co(2) atoms. In the fourth O site, O(4) is bonded in a rectangular see-saw-like geometry to one Co(2), two equivalent Co(1), and one Zn(1) atom. In the fifth O site, O(5) is bonded to one Mg(1), one Co(4), and two equivalent Co(1) atoms to form distorted OMgCo3 tetrahedra that share  a cornercorner with one O(6)MgZn2Co tetrahedra, corners with two equivalent O(5)MgCo3 tetrahedra, and edges with two equivalent O(7)Zn2Co3 square pyramids. In the sixth O site, O(6) is bonded to one Mg(1), one Co(3), and two equivalent Zn(1) atoms to form OMgZn2Co tetrahedra that share corners with two equivalent O(7)Zn2Co3 square pyramids,  a cornercorner with one O(5)MgCo3 tetrahedra, corners with two equivalent O(6)MgZn2Co tetrahedra, and  an edgeedge with one O(7)Zn2Co3 square pyramid. In the seventh O site, O(7) is bonded to one Co(1), two equivalent Co(4), and two equivalent Zn(1) atoms to form OZn2Co3 square pyramids that share corners with two equivalent O(6)MgZn2Co tetrahedra, edges with two equivalent O(7)Zn2Co3 square pyramids,  an edgeedge with one O(6)MgZn2Co tetrahedra, and edges with two equivalent O(5)MgCo3 tetrahedra. In the eighth O site, O(8) is bonded in a distorted trigonal planar geometry to one Co(2) and two equivalent Co(3) atoms. is represented by the CIF file [CIF]
data_MgZn(CoO2)4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   2.954
_cell_length_b   7.544
_cell_length_c   7.867
_cell_angle_alpha   67.839
_cell_angle_beta   79.375
_cell_angle_gamma   78.883
_symmetry_Int_Tables_number   1
_cell_volume   158.147
_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
  Mg  Mg0  1  0.033  0.949  0.981  1.0
  Zn  Zn1  1  0.306  0.154  0.230  1.0
  Co  Co2  1  0.613  0.204  0.571  1.0
  Co  Co3  1  0.130  0.566  0.167  1.0
  Co  Co4  1  0.864  0.418  0.846  1.0
  Co  Co5  1  0.289  0.828  0.588  1.0
  O  O6  1  0.844  0.659  0.648  1.0
  O  O7  1  0.459  0.335  0.734  1.0
  O  O8  1  0.562  0.760  0.113  1.0
  O  O9  1  0.135  0.350  0.379  1.0
  O  O10  1  0.135  0.016  0.714  1.0
  O  O11  1  0.882  0.176  0.051  1.0
  O  O12  1  0.780  0.010  0.429  1.0
  O  O13  1  0.265  0.506  0.959  1.0
[/CIF]
.