The material structure described by MgCd2(CoO2)4 crystallizes in the triclinic P1 space group. Mg(1) is bonded to one O(1), one O(2), one O(4), one O(5), one O(6), and one O(8) atom to form MgO6 octahedra that share edges with two equivalent Co(1)O6 octahedra, edges with two equivalent Co(3)O6 octahedra, and edges with two equivalent Co(4)O6 octahedra. There are four inequivalent Co sites. In the first Co site, Co(1) is bonded to one O(1), one O(2), one O(3), one O(5), one O(6), and one O(7) atom to form CoO6 octahedra that share edges with two equivalent Mg(1)O6 octahedra, edges with two equivalent Co(3)O6 octahedra, and edges with two equivalent Co(4)O6 octahedra. In the second Co site, Co(2) is bonded in a rectangular see-saw-like geometry to one O(1), one O(4), one O(5), and one O(8) atom. In the third Co site, Co(3) is bonded to one O(2), one O(3), one O(4), one O(6), one O(7), and one O(8) atom to form CoO6 octahedra that share edges with two equivalent Mg(1)O6 octahedra, edges with two equivalent Co(1)O6 octahedra, and edges with two equivalent Co(4)O6 octahedra. In the fourth Co site, Co(4) is bonded to one O(1), one O(3), one O(4), one O(5), one O(7), and one O(8) atom to form CoO6 octahedra that share edges with two equivalent Mg(1)O6 octahedra, edges with two equivalent Co(1)O6 octahedra, and edges with two equivalent Co(3)O6 octahedra. There are two inequivalent Cd sites. In the first Cd site, Cd(1) is bonded in a 5-coordinate geometry to one O(1), one O(3), one O(4), one O(6), and one O(8) atom. In the second Cd site, Cd(2) is bonded in a 5-coordinate geometry to one O(2), one O(4), one O(5), one O(7), and one O(8) atom. There are eight inequivalent O sites. In the first O site, O(1) is bonded in a 5-coordinate geometry to one Mg(1), one Co(1), one Co(2), one Co(4), and one Cd(1) atom. In the second O site, O(2) is bonded to one Mg(1), one Co(1), one Co(3), and one Cd(2) atom to form OMgCdCo2 trigonal pyramids that share  a cornercorner with one O(8)MgCd2Co3 octahedra, corners with two equivalent O(3)CdCo3 trigonal pyramids, corners with three equivalent O(6)MgCdCo2 trigonal pyramids, and  an edgeedge with one O(8)MgCd2Co3 octahedra. The corner-sharing octahedral tilt angles are 91°. In the third O site, O(3) is bonded to one Co(1), one Co(3), one Co(4), and one Cd(1) atom to form OCdCo3 trigonal pyramids that share  a cornercorner with one O(8)MgCd2Co3 octahedra,  a cornercorner with one O(6)MgCdCo2 trigonal pyramid, corners with two equivalent O(2)MgCdCo2 trigonal pyramids,  an edgeedge with one O(8)MgCd2Co3 octahedra, and  an edgeedge with one O(6)MgCdCo2 trigonal pyramid. The corner-sharing octahedral tilt angles are 92°. In the fourth O site, O(4) is bonded in a 6-coordinate geometry to one Mg(1), one Co(2), one Co(3), one Co(4), one Cd(1), and one Cd(2) atom. In the fifth O site, O(5) is bonded in a 5-coordinate geometry to one Mg(1), one Co(1), one Co(2), one Co(4), and one Cd(2) atom. In the sixth O site, O(6) is bonded to one Mg(1), one Co(1), one Co(3), and one Cd(1) atom to form OMgCdCo2 trigonal pyramids that share  a cornercorner with one O(8)MgCd2Co3 octahedra,  a cornercorner with one O(3)CdCo3 trigonal pyramid, corners with three equivalent O(2)MgCdCo2 trigonal pyramids,  an edgeedge with one O(8)MgCd2Co3 octahedra, and  an edgeedge with one O(3)CdCo3 trigonal pyramid. The corner-sharing octahedral tilt angles are 30°. In the seventh O site, O(7) is bonded in a rectangular see-saw-like geometry to one Co(1), one Co(3), one Co(4), and one Cd(2) atom. In the eighth O site, O(8) is bonded to one Mg(1), one Co(2), one Co(3), one Co(4), one Cd(1), and one Cd(2) atom to form distorted OMgCd2Co3 octahedra that share  a cornercorner with one O(3)CdCo3 trigonal pyramid,  a cornercorner with one O(2)MgCdCo2 trigonal pyramid,  a cornercorner with one O(6)MgCdCo2 trigonal pyramid,  an edgeedge with one O(3)CdCo3 trigonal pyramid,  an edgeedge with one O(2)MgCdCo2 trigonal pyramid, and  an edgeedge with one O(6)MgCdCo2 trigonal pyramid. is represented by the CIF file [CIF]
data_MgCd2(CoO2)4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.885
_cell_length_b   5.922
_cell_length_c   6.019
_cell_angle_alpha   61.902
_cell_angle_beta   76.954
_cell_angle_gamma   112.354
_symmetry_Int_Tables_number   1
_cell_volume   173.827
_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  0.379  0.271  0.859  1.0
  Cd  Cd1  1  0.881  0.918  0.092  1.0
  Cd  Cd2  1  0.870  0.615  0.659  1.0
  Co  Co3  1  0.378  0.252  0.371  1.0
  Co  Co4  1  0.872  0.254  0.375  1.0
  Co  Co5  1  0.370  0.753  0.359  1.0
  Co  Co6  1  0.371  0.757  0.879  1.0
  O  O7  1  0.151  0.268  0.157  1.0
  O  O8  1  0.556  0.228  0.100  1.0
  O  O9  1  0.557  0.723  0.072  1.0
  O  O10  1  0.123  0.730  0.180  1.0
  O  O11  1  0.595  0.244  0.585  1.0
  O  O12  1  0.189  0.276  0.635  1.0
  O  O13  1  0.204  0.784  0.657  1.0
  O  O14  1  0.627  0.782  0.551  1.0
[/CIF]
.
The material structure described by MgCd2(CoO2)4 crystallizes in the triclinic P1 space group. Mg(1) is bonded to one O(1), one O(2), one O(4), one O(5), one O(6), and one O(8) atom to form MgO6 octahedra that share edges with two equivalent Co(1)O6 octahedra, edges with two equivalent Co(3)O6 octahedra, and edges with two equivalent Co(4)O6 octahedra. There are four inequivalent Co sites. In the first Co site, Co(1) is bonded to one O(1), one O(2), one O(3), one O(5), one O(6), and one O(7) atom to form CoO6 octahedra that share edges with two equivalent Mg(1)O6 octahedra, edges with two equivalent Co(3)O6 octahedra, and edges with two equivalent Co(4)O6 octahedra. In the second Co site, Co(2) is bonded in a rectangular see-saw-like geometry to one O(1), one O(4), one O(5), and one O(8) atom. In the third Co site, Co(3) is bonded to one O(2), one O(3), one O(4), one O(6), one O(7), and one O(8) atom to form CoO6 octahedra that share edges with two equivalent Mg(1)O6 octahedra, edges with two equivalent Co(1)O6 octahedra, and edges with two equivalent Co(4)O6 octahedra. In the fourth Co site, Co(4) is bonded to one O(1), one O(3), one O(4), one O(5), one O(7), and one O(8) atom to form CoO6 octahedra that share edges with two equivalent Mg(1)O6 octahedra, edges with two equivalent Co(1)O6 octahedra, and edges with two equivalent Co(3)O6 octahedra. There are two inequivalent Cd sites. In the first Cd site, Cd(1) is bonded in a 5-coordinate geometry to one O(1), one O(3), one O(4), one O(6), and one O(8) atom. In the second Cd site, Cd(2) is bonded in a 5-coordinate geometry to one O(2), one O(4), one O(5), one O(7), and one O(8) atom. There are eight inequivalent O sites. In the first O site, O(1) is bonded in a 5-coordinate geometry to one Mg(1), one Co(1), one Co(2), one Co(4), and one Cd(1) atom. In the second O site, O(2) is bonded to one Mg(1), one Co(1), one Co(3), and one Cd(2) atom to form OMgCdCo2 trigonal pyramids that share  a cornercorner with one O(8)MgCd2Co3 octahedra, corners with two equivalent O(3)CdCo3 trigonal pyramids, corners with three equivalent O(6)MgCdCo2 trigonal pyramids, and  an edgeedge with one O(8)MgCd2Co3 octahedra. The corner-sharing octahedral tilt angles are 91°. In the third O site, O(3) is bonded to one Co(1), one Co(3), one Co(4), and one Cd(1) atom to form OCdCo3 trigonal pyramids that share  a cornercorner with one O(8)MgCd2Co3 octahedra,  a cornercorner with one O(6)MgCdCo2 trigonal pyramid, corners with two equivalent O(2)MgCdCo2 trigonal pyramids,  an edgeedge with one O(8)MgCd2Co3 octahedra, and  an edgeedge with one O(6)MgCdCo2 trigonal pyramid. The corner-sharing octahedral tilt angles are 92°. In the fourth O site, O(4) is bonded in a 6-coordinate geometry to one Mg(1), one Co(2), one Co(3), one Co(4), one Cd(1), and one Cd(2) atom. In the fifth O site, O(5) is bonded in a 5-coordinate geometry to one Mg(1), one Co(1), one Co(2), one Co(4), and one Cd(2) atom. In the sixth O site, O(6) is bonded to one Mg(1), one Co(1), one Co(3), and one Cd(1) atom to form OMgCdCo2 trigonal pyramids that share  a cornercorner with one O(8)MgCd2Co3 octahedra,  a cornercorner with one O(3)CdCo3 trigonal pyramid, corners with three equivalent O(2)MgCdCo2 trigonal pyramids,  an edgeedge with one O(8)MgCd2Co3 octahedra, and  an edgeedge with one O(3)CdCo3 trigonal pyramid. The corner-sharing octahedral tilt angles are 30°. In the seventh O site, O(7) is bonded in a rectangular see-saw-like geometry to one Co(1), one Co(3), one Co(4), and one Cd(2) atom. In the eighth O site, O(8) is bonded to one Mg(1), one Co(2), one Co(3), one Co(4), one Cd(1), and one Cd(2) atom to form distorted OMgCd2Co3 octahedra that share  a cornercorner with one O(3)CdCo3 trigonal pyramid,  a cornercorner with one O(2)MgCdCo2 trigonal pyramid,  a cornercorner with one O(6)MgCdCo2 trigonal pyramid,  an edgeedge with one O(3)CdCo3 trigonal pyramid,  an edgeedge with one O(2)MgCdCo2 trigonal pyramid, and  an edgeedge with one O(6)MgCdCo2 trigonal pyramid. is represented by the CIF file [CIF]
data_MgCd2(CoO2)4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.885
_cell_length_b   5.922
_cell_length_c   6.019
_cell_angle_alpha   61.902
_cell_angle_beta   76.954
_cell_angle_gamma   112.354
_symmetry_Int_Tables_number   1
_cell_volume   173.827
_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  0.379  0.271  0.859  1.0
  Cd  Cd1  1  0.881  0.918  0.092  1.0
  Cd  Cd2  1  0.870  0.615  0.659  1.0
  Co  Co3  1  0.378  0.252  0.371  1.0
  Co  Co4  1  0.872  0.254  0.375  1.0
  Co  Co5  1  0.370  0.753  0.359  1.0
  Co  Co6  1  0.371  0.757  0.879  1.0
  O  O7  1  0.151  0.268  0.157  1.0
  O  O8  1  0.556  0.228  0.100  1.0
  O  O9  1  0.557  0.723  0.072  1.0
  O  O10  1  0.123  0.730  0.180  1.0
  O  O11  1  0.595  0.244  0.585  1.0
  O  O12  1  0.189  0.276  0.635  1.0
  O  O13  1  0.204  0.784  0.657  1.0
  O  O14  1  0.627  0.782  0.551  1.0
[/CIF]
.