The structure described by MgFe4(CuO4)2 crystallizes in the triclinic P1 space group. Mg(1) is bonded to one O(2), one O(4), one O(7), and one O(8) atom to form MgO4 tetrahedra that share corners with two equivalent Cu(1)O5 square pyramids, corners with two equivalent Cu(2)O5 square pyramids, corners with two equivalent Fe(1)O4 tetrahedra, and  an edgeedge with one Fe(2)O4 tetrahedra. There are four inequivalent Fe sites. In the first Fe site, Fe(1) is bonded to one O(5), one O(6), one O(7), and one O(8) atom to form FeO4 tetrahedra that share corners with two equivalent Cu(1)O5 square pyramids, corners with two equivalent Cu(2)O5 square pyramids, and corners with two equivalent Mg(1)O4 tetrahedra. In the second Fe site, Fe(2) is bonded to one O(1), one O(2), one O(3), and one O(4) atom to form distorted FeO4 tetrahedra that share corners with three equivalent Cu(1)O5 square pyramids, corners with three equivalent Cu(2)O5 square pyramids, and  an edgeedge with one Mg(1)O4 tetrahedra. In the third Fe site, Fe(3) is bonded in a 5-coordinate geometry to one O(1), one O(3), one O(6), one O(7), and one O(8) atom. In the fourth Fe site, Fe(4) is bonded in a 5-coordinate geometry to one O(1), one O(3), one O(5), one O(7), and one O(8) atom. There are two inequivalent Cu sites. In the first Cu site, Cu(1) is bonded to one O(1), one O(2), one O(4), one O(5), and one O(6) atom to form distorted CuO5 square pyramids that share corners with two equivalent Mg(1)O4 tetrahedra, corners with two equivalent Fe(1)O4 tetrahedra, corners with three equivalent Fe(2)O4 tetrahedra, and edges with two equivalent Cu(2)O5 square pyramids. In the second Cu site, Cu(2) is bonded to one O(2), one O(3), one O(4), one O(5), and one O(6) atom to form distorted CuO5 square pyramids that share corners with two equivalent Mg(1)O4 tetrahedra, corners with two equivalent Fe(1)O4 tetrahedra, corners with three equivalent Fe(2)O4 tetrahedra, and edges with two equivalent Cu(1)O5 square pyramids. There are eight inequivalent O sites. In the first O site, O(1) is bonded to one Fe(2), one Fe(3), one Fe(4), and one Cu(1) atom to form OFe3Cu tetrahedra that share  a cornercorner with one O(3)Fe3Cu tetrahedra, corners with two equivalent O(2)MgFeCu2 tetrahedra, corners with two equivalent O(4)MgFeCu2 tetrahedra, corners with two equivalent O(7)MgFe3 trigonal pyramids, corners with two equivalent O(8)MgFe3 trigonal pyramids, and  an edgeedge with one O(3)Fe3Cu tetrahedra. In the second O site, O(2) is bonded to one Mg(1), one Fe(2), one Cu(1), and one Cu(2) atom to form distorted OMgFeCu2 tetrahedra that share corners with two equivalent O(1)Fe3Cu tetrahedra, corners with two equivalent O(3)Fe3Cu tetrahedra,  a cornercorner with one O(7)MgFe3 trigonal pyramid,  a cornercorner with one O(8)MgFe3 trigonal pyramid, and edges with two equivalent O(4)MgFeCu2 tetrahedra. In the third O site, O(3) is bonded to one Fe(2), one Fe(3), one Fe(4), and one Cu(2) atom to form OFe3Cu tetrahedra that share  a cornercorner with one O(1)Fe3Cu tetrahedra, corners with two equivalent O(2)MgFeCu2 tetrahedra, corners with two equivalent O(4)MgFeCu2 tetrahedra, corners with two equivalent O(7)MgFe3 trigonal pyramids, corners with two equivalent O(8)MgFe3 trigonal pyramids, and  an edgeedge with one O(1)Fe3Cu tetrahedra. In the fourth O site, O(4) is bonded to one Mg(1), one Fe(2), one Cu(1), and one Cu(2) atom to form distorted OMgFeCu2 tetrahedra that share corners with two equivalent O(1)Fe3Cu tetrahedra, corners with two equivalent O(3)Fe3Cu tetrahedra,  a cornercorner with one O(7)MgFe3 trigonal pyramid,  a cornercorner with one O(8)MgFe3 trigonal pyramid, and edges with two equivalent O(2)MgFeCu2 tetrahedra. In the fifth O site, O(5) is bonded in a rectangular see-saw-like geometry to one Fe(1), one Fe(4), one Cu(1), and one Cu(2) atom. In the sixth O site, O(6) is bonded in a rectangular see-saw-like geometry to one Fe(1), one Fe(3), one Cu(1), and one Cu(2) atom. In the seventh O site, O(7) is bonded to one Mg(1), one Fe(1), one Fe(3), and one Fe(4) atom to form distorted OMgFe3 trigonal pyramids that share  a cornercorner with one O(2)MgFeCu2 tetrahedra,  a cornercorner with one O(4)MgFeCu2 tetrahedra, corners with two equivalent O(1)Fe3Cu tetrahedra, corners with two equivalent O(3)Fe3Cu tetrahedra,  a cornercorner with one O(8)MgFe3 trigonal pyramid, and  a faceface with one O(8)MgFe3 trigonal pyramid. In the eighth O site, O(8) is bonded to one Mg(1), one Fe(1), one Fe(3), and one Fe(4) atom to form distorted OMgFe3 trigonal pyramids that share  a cornercorner with one O(2)MgFeCu2 tetrahedra,  a cornercorner with one O(4)MgFeCu2 tetrahedra, corners with two equivalent O(1)Fe3Cu tetrahedra, corners with two equivalent O(3)Fe3Cu tetrahedra,  a cornercorner with one O(7)MgFe3 trigonal pyramid, and  a faceface with one O(7)MgFe3 trigonal pyramid. is represented by the Crystallographic Information File (CIF) [CIF]
data_MgFe4(CuO4)2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.634
_cell_length_b   6.630
_cell_length_c   6.003
_cell_angle_alpha   63.099
_cell_angle_beta   63.115
_cell_angle_gamma   51.587
_symmetry_Int_Tables_number   1
_cell_volume   178.894
_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  0.048  0.032  0.462  1.0
  Fe  Fe1  1  0.989  0.001  0.007  1.0
  Fe  Fe2  1  0.296  0.291  0.206  1.0
  Fe  Fe3  1  0.071  0.548  0.691  1.0
  Fe  Fe4  1  0.556  0.085  0.679  1.0
  Cu  Cu5  1  0.616  0.615  0.145  1.0
  Cu  Cu6  1  0.616  0.615  0.625  1.0
  O  O7  1  0.383  0.365  0.411  1.0
  O  O8  1  0.427  0.874  0.350  1.0
  O  O9  1  0.384  0.365  0.838  1.0
  O  O10  1  0.884  0.416  0.351  1.0
  O  O11  1  0.381  0.868  0.876  1.0
  O  O12  1  0.839  0.384  0.889  1.0
  O  O13  1  0.896  0.907  0.377  1.0
  O  O14  1  0.896  0.906  0.824  1.0
[/CIF]
.
The structure described by MgFe4(CuO4)2 crystallizes in the triclinic P1 space group. Mg(1) is bonded to one O(2), one O(4), one O(7), and one O(8) atom to form MgO4 tetrahedra that share corners with two equivalent Cu(1)O5 square pyramids, corners with two equivalent Cu(2)O5 square pyramids, corners with two equivalent Fe(1)O4 tetrahedra, and  an edgeedge with one Fe(2)O4 tetrahedra. There are four inequivalent Fe sites. In the first Fe site, Fe(1) is bonded to one O(5), one O(6), one O(7), and one O(8) atom to form FeO4 tetrahedra that share corners with two equivalent Cu(1)O5 square pyramids, corners with two equivalent Cu(2)O5 square pyramids, and corners with two equivalent Mg(1)O4 tetrahedra. In the second Fe site, Fe(2) is bonded to one O(1), one O(2), one O(3), and one O(4) atom to form distorted FeO4 tetrahedra that share corners with three equivalent Cu(1)O5 square pyramids, corners with three equivalent Cu(2)O5 square pyramids, and  an edgeedge with one Mg(1)O4 tetrahedra. In the third Fe site, Fe(3) is bonded in a 5-coordinate geometry to one O(1), one O(3), one O(6), one O(7), and one O(8) atom. In the fourth Fe site, Fe(4) is bonded in a 5-coordinate geometry to one O(1), one O(3), one O(5), one O(7), and one O(8) atom. There are two inequivalent Cu sites. In the first Cu site, Cu(1) is bonded to one O(1), one O(2), one O(4), one O(5), and one O(6) atom to form distorted CuO5 square pyramids that share corners with two equivalent Mg(1)O4 tetrahedra, corners with two equivalent Fe(1)O4 tetrahedra, corners with three equivalent Fe(2)O4 tetrahedra, and edges with two equivalent Cu(2)O5 square pyramids. In the second Cu site, Cu(2) is bonded to one O(2), one O(3), one O(4), one O(5), and one O(6) atom to form distorted CuO5 square pyramids that share corners with two equivalent Mg(1)O4 tetrahedra, corners with two equivalent Fe(1)O4 tetrahedra, corners with three equivalent Fe(2)O4 tetrahedra, and edges with two equivalent Cu(1)O5 square pyramids. There are eight inequivalent O sites. In the first O site, O(1) is bonded to one Fe(2), one Fe(3), one Fe(4), and one Cu(1) atom to form OFe3Cu tetrahedra that share  a cornercorner with one O(3)Fe3Cu tetrahedra, corners with two equivalent O(2)MgFeCu2 tetrahedra, corners with two equivalent O(4)MgFeCu2 tetrahedra, corners with two equivalent O(7)MgFe3 trigonal pyramids, corners with two equivalent O(8)MgFe3 trigonal pyramids, and  an edgeedge with one O(3)Fe3Cu tetrahedra. In the second O site, O(2) is bonded to one Mg(1), one Fe(2), one Cu(1), and one Cu(2) atom to form distorted OMgFeCu2 tetrahedra that share corners with two equivalent O(1)Fe3Cu tetrahedra, corners with two equivalent O(3)Fe3Cu tetrahedra,  a cornercorner with one O(7)MgFe3 trigonal pyramid,  a cornercorner with one O(8)MgFe3 trigonal pyramid, and edges with two equivalent O(4)MgFeCu2 tetrahedra. In the third O site, O(3) is bonded to one Fe(2), one Fe(3), one Fe(4), and one Cu(2) atom to form OFe3Cu tetrahedra that share  a cornercorner with one O(1)Fe3Cu tetrahedra, corners with two equivalent O(2)MgFeCu2 tetrahedra, corners with two equivalent O(4)MgFeCu2 tetrahedra, corners with two equivalent O(7)MgFe3 trigonal pyramids, corners with two equivalent O(8)MgFe3 trigonal pyramids, and  an edgeedge with one O(1)Fe3Cu tetrahedra. In the fourth O site, O(4) is bonded to one Mg(1), one Fe(2), one Cu(1), and one Cu(2) atom to form distorted OMgFeCu2 tetrahedra that share corners with two equivalent O(1)Fe3Cu tetrahedra, corners with two equivalent O(3)Fe3Cu tetrahedra,  a cornercorner with one O(7)MgFe3 trigonal pyramid,  a cornercorner with one O(8)MgFe3 trigonal pyramid, and edges with two equivalent O(2)MgFeCu2 tetrahedra. In the fifth O site, O(5) is bonded in a rectangular see-saw-like geometry to one Fe(1), one Fe(4), one Cu(1), and one Cu(2) atom. In the sixth O site, O(6) is bonded in a rectangular see-saw-like geometry to one Fe(1), one Fe(3), one Cu(1), and one Cu(2) atom. In the seventh O site, O(7) is bonded to one Mg(1), one Fe(1), one Fe(3), and one Fe(4) atom to form distorted OMgFe3 trigonal pyramids that share  a cornercorner with one O(2)MgFeCu2 tetrahedra,  a cornercorner with one O(4)MgFeCu2 tetrahedra, corners with two equivalent O(1)Fe3Cu tetrahedra, corners with two equivalent O(3)Fe3Cu tetrahedra,  a cornercorner with one O(8)MgFe3 trigonal pyramid, and  a faceface with one O(8)MgFe3 trigonal pyramid. In the eighth O site, O(8) is bonded to one Mg(1), one Fe(1), one Fe(3), and one Fe(4) atom to form distorted OMgFe3 trigonal pyramids that share  a cornercorner with one O(2)MgFeCu2 tetrahedra,  a cornercorner with one O(4)MgFeCu2 tetrahedra, corners with two equivalent O(1)Fe3Cu tetrahedra, corners with two equivalent O(3)Fe3Cu tetrahedra,  a cornercorner with one O(7)MgFe3 trigonal pyramid, and  a faceface with one O(7)MgFe3 trigonal pyramid. is represented by the Crystallographic Information File (CIF) [CIF]
data_MgFe4(CuO4)2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.634
_cell_length_b   6.630
_cell_length_c   6.003
_cell_angle_alpha   63.099
_cell_angle_beta   63.115
_cell_angle_gamma   51.587
_symmetry_Int_Tables_number   1
_cell_volume   178.894
_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  0.048  0.032  0.462  1.0
  Fe  Fe1  1  0.989  0.001  0.007  1.0
  Fe  Fe2  1  0.296  0.291  0.206  1.0
  Fe  Fe3  1  0.071  0.548  0.691  1.0
  Fe  Fe4  1  0.556  0.085  0.679  1.0
  Cu  Cu5  1  0.616  0.615  0.145  1.0
  Cu  Cu6  1  0.616  0.615  0.625  1.0
  O  O7  1  0.383  0.365  0.411  1.0
  O  O8  1  0.427  0.874  0.350  1.0
  O  O9  1  0.384  0.365  0.838  1.0
  O  O10  1  0.884  0.416  0.351  1.0
  O  O11  1  0.381  0.868  0.876  1.0
  O  O12  1  0.839  0.384  0.889  1.0
  O  O13  1  0.896  0.907  0.377  1.0
  O  O14  1  0.896  0.906  0.824  1.0
[/CIF]
.