The compound described by MgFe3Co5O16 crystallizes in the triclinic P1 space group. Mg(1) is bonded to one O(11), one O(12), one O(15), and one O(3) atom to form MgO4 tetrahedra that share  a cornercorner with one Fe(1)O6 octahedra,  a cornercorner with one Co(1)O6 octahedra,  a cornercorner with one Co(3)O6 octahedra, corners with two equivalent Fe(2)O6 octahedra, corners with two equivalent Fe(3)O6 octahedra, corners with two equivalent Co(4)O6 octahedra, and corners with three equivalent Co(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 55-66°. There are three inequivalent Fe sites. In the first Fe site, Fe(1) is bonded to one O(14), one O(16), one O(3), one O(4), one O(7), and one O(8) atom to form FeO6 octahedra that share corners with two equivalent Co(5)O6 octahedra,  a cornercorner with one Mg(1)O4 tetrahedra,  an edgeedge with one Co(2)O6 octahedra, edges with two equivalent Co(1)O6 octahedra, and edges with two equivalent Co(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 48-49°. In the second Fe site, Fe(2) is bonded to one O(1), one O(10), one O(11), one O(13), one O(15), and one O(5) atom to form distorted FeO6 octahedra that share corners with two equivalent Co(2)O6 octahedra, corners with two equivalent Mg(1)O4 tetrahedra,  an edgeedge with one Co(5)O6 octahedra, edges with two equivalent Fe(3)O6 octahedra, and edges with two equivalent Co(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 49-52°. In the third Fe site, Fe(3) is bonded to one O(10), one O(12), one O(13), one O(15), one O(5), and one O(6) atom to form FeO6 octahedra that share corners with two equivalent Co(2)O6 octahedra, corners with two equivalent Mg(1)O4 tetrahedra,  an edgeedge with one Co(5)O6 octahedra, edges with two equivalent Fe(2)O6 octahedra, and edges with two equivalent Co(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 50-51°. There are five inequivalent Co sites. In the first Co site, Co(1) is bonded to one O(14), one O(2), one O(3), one O(4), one O(7), and one O(9) atom to form CoO6 octahedra that share corners with two equivalent Co(5)O6 octahedra,  a cornercorner with one Mg(1)O4 tetrahedra,  an edgeedge with one Co(2)O6 octahedra, edges with two equivalent Fe(1)O6 octahedra, and edges with two equivalent Co(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 52-53°. In the second Co site, Co(2) is bonded to one O(1), one O(10), one O(2), one O(6), one O(7), and one O(8) atom to form CoO6 octahedra that share corners with two equivalent Fe(2)O6 octahedra, corners with two equivalent Fe(3)O6 octahedra, corners with two equivalent Co(4)O6 octahedra,  an edgeedge with one Fe(1)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra, and  an edgeedge with one Co(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 48-52°. In the third Co site, Co(3) is bonded to one O(16), one O(2), one O(3), one O(4), one O(8), and one O(9) atom to form CoO6 octahedra that share corners with two equivalent Co(5)O6 octahedra,  a cornercorner with one Mg(1)O4 tetrahedra,  an edgeedge with one Co(2)O6 octahedra, edges with two equivalent Fe(1)O6 octahedra, and edges with two equivalent Co(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 52-53°. In the fourth Co site, Co(4) is bonded to one O(1), one O(11), one O(12), one O(13), one O(5), and one O(6) atom to form CoO6 octahedra that share corners with two equivalent Co(2)O6 octahedra, corners with two equivalent Mg(1)O4 tetrahedra,  an edgeedge with one Co(5)O6 octahedra, edges with two equivalent Fe(2)O6 octahedra, and edges with two equivalent Fe(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 48-49°. In the fifth Co site, Co(5) is bonded to one O(11), one O(12), one O(14), one O(15), one O(16), and one O(9) atom to form distorted CoO6 octahedra that share corners with two equivalent Fe(1)O6 octahedra, corners with two equivalent Co(1)O6 octahedra, corners with two equivalent Co(3)O6 octahedra, corners with three equivalent Mg(1)O4 tetrahedra,  an edgeedge with one Fe(2)O6 octahedra,  an edgeedge with one Fe(3)O6 octahedra, and  an edgeedge with one Co(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 48-53°. There are sixteen inequivalent O sites. In the first O site, O(1) is bonded in a distorted trigonal planar geometry to one Fe(2), one Co(2), and one Co(4) atom. In the second O site, O(2) is bonded in a distorted T-shaped geometry to one Co(1), one Co(2), and one Co(3) atom. In the third O site, O(3) is bonded in a distorted rectangular see-saw-like geometry to one Mg(1), one Fe(1), one Co(1), and one Co(3) atom. In the fourth O site, O(4) is bonded in a distorted trigonal non-coplanar geometry to one Fe(1), one Co(1), and one Co(3) atom. In the fifth O site, O(5) is bonded in a distorted trigonal non-coplanar geometry to one Fe(2), one Fe(3), and one Co(4) atom. In the sixth O site, O(6) is bonded in a distorted trigonal planar geometry to one Fe(3), one Co(2), and one Co(4) atom. In the seventh O site, O(7) is bonded in a distorted trigonal non-coplanar geometry to one Fe(1), one Co(1), and one Co(2) atom. In the eighth O site, O(8) is bonded in a distorted trigonal non-coplanar geometry to one Fe(1), one Co(2), and one Co(3) atom. In the ninth O site, O(9) is bonded in a distorted trigonal planar geometry to one Co(1), one Co(3), and one Co(5) atom. In the tenth O site, O(10) is bonded in a distorted trigonal planar geometry to one Fe(2), one Fe(3), and one Co(2) atom. In the eleventh O site, O(11) is bonded to one Mg(1), one Fe(2), one Co(4), and one Co(5) atom to form distorted OMgFeCo2 tetrahedra that share  a cornercorner with one O(15)MgFe2Co tetrahedra,  a cornercorner with one O(12)MgFeCo2 tetrahedra,  an edgeedge with one O(15)MgFe2Co tetrahedra, and  an edgeedge with one O(12)MgFeCo2 tetrahedra. In the twelfth O site, O(12) is bonded to one Mg(1), one Fe(3), one Co(4), and one Co(5) atom to form distorted OMgFeCo2 tetrahedra that share  a cornercorner with one O(15)MgFe2Co tetrahedra,  a cornercorner with one O(11)MgFeCo2 tetrahedra,  an edgeedge with one O(15)MgFe2Co tetrahedra, and  an edgeedge with one O(11)MgFeCo2 tetrahedra. In the thirteenth O site, O(13) is bonded in a distorted trigonal non-coplanar geometry to one Fe(2), one Fe(3), and one Co(4) atom. In the fourteenth O site, O(14) is bonded in a distorted trigonal planar geometry to one Fe(1), one Co(1), and one Co(5) atom. In the fifteenth O site, O(15) is bonded to one Mg(1), one Fe(2), one Fe(3), and one Co(5) atom to form a mixture of distorted edge and corner-sharing OMgFe2Co tetrahedra. In the sixteenth O site, O(16) is bonded in a distorted trigonal planar geometry to one Fe(1), one Co(3), and one Co(5) atom. is represented by the CIF file [CIF]
data_MgFe3Co5O16
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.908
_cell_length_b   5.698
_cell_length_c   8.891
_cell_angle_alpha   89.753
_cell_angle_beta   93.523
_cell_angle_gamma   118.849
_symmetry_Int_Tables_number   1
_cell_volume   261.564
_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  0.342  0.684  0.892  1.0
  Fe  Fe1  1  0.662  0.839  0.232  1.0
  Fe  Fe2  1  0.850  0.684  0.701  1.0
  Fe  Fe3  1  0.852  0.188  0.701  1.0
  Co  Co4  1  0.159  0.840  0.220  1.0
  Co  Co5  1  0.341  0.676  0.487  1.0
  Co  Co6  1  0.158  0.336  0.220  1.0
  Co  Co7  1  0.353  0.186  0.705  1.0
  Co  Co8  1  0.686  0.353  0.998  1.0
  O  O9  1  0.201  0.852  0.606  1.0
  O  O10  1  0.049  0.533  0.344  1.0
  O  O11  1  0.317  0.668  0.112  1.0
  O  O12  1  0.011  0.013  0.327  1.0
  O  O13  1  0.039  0.020  0.808  1.0
  O  O14  1  0.198  0.366  0.608  1.0
  O  O15  1  0.456  0.960  0.355  1.0
  O  O16  1  0.452  0.510  0.355  1.0
  O  O17  1  0.300  0.159  0.120  1.0
  O  O18  1  0.664  0.838  0.598  1.0
  O  O19  1  0.530  0.487  0.849  1.0
  O  O20  1  0.539  0.066  0.846  1.0
  O  O21  1  0.658  0.349  0.598  1.0
  O  O22  1  0.828  0.665  0.111  1.0
  O  O23  1  0.973  0.503  0.842  1.0
  O  O24  1  0.829  0.183  0.109  1.0
[/CIF]
.
The compound described by MgFe3Co5O16 crystallizes in the triclinic P1 space group. Mg(1) is bonded to one O(11), one O(12), one O(15), and one O(3) atom to form MgO4 tetrahedra that share  a cornercorner with one Fe(1)O6 octahedra,  a cornercorner with one Co(1)O6 octahedra,  a cornercorner with one Co(3)O6 octahedra, corners with two equivalent Fe(2)O6 octahedra, corners with two equivalent Fe(3)O6 octahedra, corners with two equivalent Co(4)O6 octahedra, and corners with three equivalent Co(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 55-66°. There are three inequivalent Fe sites. In the first Fe site, Fe(1) is bonded to one O(14), one O(16), one O(3), one O(4), one O(7), and one O(8) atom to form FeO6 octahedra that share corners with two equivalent Co(5)O6 octahedra,  a cornercorner with one Mg(1)O4 tetrahedra,  an edgeedge with one Co(2)O6 octahedra, edges with two equivalent Co(1)O6 octahedra, and edges with two equivalent Co(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 48-49°. In the second Fe site, Fe(2) is bonded to one O(1), one O(10), one O(11), one O(13), one O(15), and one O(5) atom to form distorted FeO6 octahedra that share corners with two equivalent Co(2)O6 octahedra, corners with two equivalent Mg(1)O4 tetrahedra,  an edgeedge with one Co(5)O6 octahedra, edges with two equivalent Fe(3)O6 octahedra, and edges with two equivalent Co(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 49-52°. In the third Fe site, Fe(3) is bonded to one O(10), one O(12), one O(13), one O(15), one O(5), and one O(6) atom to form FeO6 octahedra that share corners with two equivalent Co(2)O6 octahedra, corners with two equivalent Mg(1)O4 tetrahedra,  an edgeedge with one Co(5)O6 octahedra, edges with two equivalent Fe(2)O6 octahedra, and edges with two equivalent Co(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 50-51°. There are five inequivalent Co sites. In the first Co site, Co(1) is bonded to one O(14), one O(2), one O(3), one O(4), one O(7), and one O(9) atom to form CoO6 octahedra that share corners with two equivalent Co(5)O6 octahedra,  a cornercorner with one Mg(1)O4 tetrahedra,  an edgeedge with one Co(2)O6 octahedra, edges with two equivalent Fe(1)O6 octahedra, and edges with two equivalent Co(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 52-53°. In the second Co site, Co(2) is bonded to one O(1), one O(10), one O(2), one O(6), one O(7), and one O(8) atom to form CoO6 octahedra that share corners with two equivalent Fe(2)O6 octahedra, corners with two equivalent Fe(3)O6 octahedra, corners with two equivalent Co(4)O6 octahedra,  an edgeedge with one Fe(1)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra, and  an edgeedge with one Co(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 48-52°. In the third Co site, Co(3) is bonded to one O(16), one O(2), one O(3), one O(4), one O(8), and one O(9) atom to form CoO6 octahedra that share corners with two equivalent Co(5)O6 octahedra,  a cornercorner with one Mg(1)O4 tetrahedra,  an edgeedge with one Co(2)O6 octahedra, edges with two equivalent Fe(1)O6 octahedra, and edges with two equivalent Co(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 52-53°. In the fourth Co site, Co(4) is bonded to one O(1), one O(11), one O(12), one O(13), one O(5), and one O(6) atom to form CoO6 octahedra that share corners with two equivalent Co(2)O6 octahedra, corners with two equivalent Mg(1)O4 tetrahedra,  an edgeedge with one Co(5)O6 octahedra, edges with two equivalent Fe(2)O6 octahedra, and edges with two equivalent Fe(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 48-49°. In the fifth Co site, Co(5) is bonded to one O(11), one O(12), one O(14), one O(15), one O(16), and one O(9) atom to form distorted CoO6 octahedra that share corners with two equivalent Fe(1)O6 octahedra, corners with two equivalent Co(1)O6 octahedra, corners with two equivalent Co(3)O6 octahedra, corners with three equivalent Mg(1)O4 tetrahedra,  an edgeedge with one Fe(2)O6 octahedra,  an edgeedge with one Fe(3)O6 octahedra, and  an edgeedge with one Co(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 48-53°. There are sixteen inequivalent O sites. In the first O site, O(1) is bonded in a distorted trigonal planar geometry to one Fe(2), one Co(2), and one Co(4) atom. In the second O site, O(2) is bonded in a distorted T-shaped geometry to one Co(1), one Co(2), and one Co(3) atom. In the third O site, O(3) is bonded in a distorted rectangular see-saw-like geometry to one Mg(1), one Fe(1), one Co(1), and one Co(3) atom. In the fourth O site, O(4) is bonded in a distorted trigonal non-coplanar geometry to one Fe(1), one Co(1), and one Co(3) atom. In the fifth O site, O(5) is bonded in a distorted trigonal non-coplanar geometry to one Fe(2), one Fe(3), and one Co(4) atom. In the sixth O site, O(6) is bonded in a distorted trigonal planar geometry to one Fe(3), one Co(2), and one Co(4) atom. In the seventh O site, O(7) is bonded in a distorted trigonal non-coplanar geometry to one Fe(1), one Co(1), and one Co(2) atom. In the eighth O site, O(8) is bonded in a distorted trigonal non-coplanar geometry to one Fe(1), one Co(2), and one Co(3) atom. In the ninth O site, O(9) is bonded in a distorted trigonal planar geometry to one Co(1), one Co(3), and one Co(5) atom. In the tenth O site, O(10) is bonded in a distorted trigonal planar geometry to one Fe(2), one Fe(3), and one Co(2) atom. In the eleventh O site, O(11) is bonded to one Mg(1), one Fe(2), one Co(4), and one Co(5) atom to form distorted OMgFeCo2 tetrahedra that share  a cornercorner with one O(15)MgFe2Co tetrahedra,  a cornercorner with one O(12)MgFeCo2 tetrahedra,  an edgeedge with one O(15)MgFe2Co tetrahedra, and  an edgeedge with one O(12)MgFeCo2 tetrahedra. In the twelfth O site, O(12) is bonded to one Mg(1), one Fe(3), one Co(4), and one Co(5) atom to form distorted OMgFeCo2 tetrahedra that share  a cornercorner with one O(15)MgFe2Co tetrahedra,  a cornercorner with one O(11)MgFeCo2 tetrahedra,  an edgeedge with one O(15)MgFe2Co tetrahedra, and  an edgeedge with one O(11)MgFeCo2 tetrahedra. In the thirteenth O site, O(13) is bonded in a distorted trigonal non-coplanar geometry to one Fe(2), one Fe(3), and one Co(4) atom. In the fourteenth O site, O(14) is bonded in a distorted trigonal planar geometry to one Fe(1), one Co(1), and one Co(5) atom. In the fifteenth O site, O(15) is bonded to one Mg(1), one Fe(2), one Fe(3), and one Co(5) atom to form a mixture of distorted edge and corner-sharing OMgFe2Co tetrahedra. In the sixteenth O site, O(16) is bonded in a distorted trigonal planar geometry to one Fe(1), one Co(3), and one Co(5) atom. is represented by the CIF file [CIF]
data_MgFe3Co5O16
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.908
_cell_length_b   5.698
_cell_length_c   8.891
_cell_angle_alpha   89.753
_cell_angle_beta   93.523
_cell_angle_gamma   118.849
_symmetry_Int_Tables_number   1
_cell_volume   261.564
_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  0.342  0.684  0.892  1.0
  Fe  Fe1  1  0.662  0.839  0.232  1.0
  Fe  Fe2  1  0.850  0.684  0.701  1.0
  Fe  Fe3  1  0.852  0.188  0.701  1.0
  Co  Co4  1  0.159  0.840  0.220  1.0
  Co  Co5  1  0.341  0.676  0.487  1.0
  Co  Co6  1  0.158  0.336  0.220  1.0
  Co  Co7  1  0.353  0.186  0.705  1.0
  Co  Co8  1  0.686  0.353  0.998  1.0
  O  O9  1  0.201  0.852  0.606  1.0
  O  O10  1  0.049  0.533  0.344  1.0
  O  O11  1  0.317  0.668  0.112  1.0
  O  O12  1  0.011  0.013  0.327  1.0
  O  O13  1  0.039  0.020  0.808  1.0
  O  O14  1  0.198  0.366  0.608  1.0
  O  O15  1  0.456  0.960  0.355  1.0
  O  O16  1  0.452  0.510  0.355  1.0
  O  O17  1  0.300  0.159  0.120  1.0
  O  O18  1  0.664  0.838  0.598  1.0
  O  O19  1  0.530  0.487  0.849  1.0
  O  O20  1  0.539  0.066  0.846  1.0
  O  O21  1  0.658  0.349  0.598  1.0
  O  O22  1  0.828  0.665  0.111  1.0
  O  O23  1  0.973  0.503  0.842  1.0
  O  O24  1  0.829  0.183  0.109  1.0
[/CIF]
.