The crystal structure described by MgFe3Co5O16 crystallizes in the triclinic P1 space group. Mg(1) is bonded in a rectangular see-saw-like geometry to one O(14), one O(16), one O(5), and one O(9) atom. 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,  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 52-53°. 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 FeO6 octahedra that share corners with two equivalent Co(2)O6 octahedra,  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 52-53°. 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,  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 51-53°. 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,  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 49-50°. 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 48-53°. 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,  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 48-49°. 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,  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 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,  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 T-shaped geometry to one Fe(1), one Co(1), and one Co(3) atom. In the fourth O site, O(4) is bonded in a 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 tetrahedral geometry to one Mg(1), 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 rectangular see-saw-like geometry to one Mg(1), one Co(1), one Co(3), and one Co(5) atom. In the tenth O site, O(10) is bonded in a trigonal planar geometry to one Fe(2), one Fe(3), and one Co(2) atom. In the eleventh O site, O(11) is bonded in a distorted trigonal non-coplanar geometry to one Fe(2), one Co(4), and one Co(5) atom. In the twelfth O site, O(12) is bonded in a distorted trigonal non-coplanar geometry to one Fe(3), one Co(4), and one Co(5) atom. In the thirteenth O site, O(13) is bonded in a distorted T-shaped geometry to one Fe(2), one Fe(3), and one Co(4) atom. In the fourteenth O site, O(14) is bonded in a rectangular see-saw-like geometry to one Mg(1), one Fe(1), one Co(1), and one Co(5) atom. In the fifteenth O site, O(15) is bonded in a trigonal non-coplanar geometry to one Fe(2), one Fe(3), and one Co(5) atom. In the sixteenth O site, O(16) is bonded in a rectangular see-saw-like geometry to one Mg(1), one Fe(1), one Co(3), and one Co(5) atom. is represented by the Crystallographic Information File (CIF) [CIF]
data_MgFe3Co5O16
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.826
_cell_length_b   5.746
_cell_length_c   9.131
_cell_angle_alpha   89.928
_cell_angle_beta   91.083
_cell_angle_gamma   119.493
_symmetry_Int_Tables_number   1
_cell_volume   265.996
_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  0.036  0.023  0.991  1.0
  Fe  Fe1  1  0.671  0.835  0.222  1.0
  Fe  Fe2  1  0.825  0.656  0.692  1.0
  Fe  Fe3  1  0.820  0.165  0.694  1.0
  Co  Co4  1  0.178  0.833  0.229  1.0
  Co  Co5  1  0.332  0.669  0.488  1.0
  Co  Co6  1  0.179  0.347  0.231  1.0
  Co  Co7  1  0.337  0.169  0.697  1.0
  Co  Co8  1  0.667  0.333  0.980  1.0
  O  O9  1  0.182  0.834  0.600  1.0
  O  O10  1  0.043  0.523  0.349  1.0
  O  O11  1  0.308  0.654  0.121  1.0
  O  O12  1  0.022  0.012  0.320  1.0
  O  O13  1  0.004  0.005  0.789  1.0
  O  O14  1  0.183  0.351  0.600  1.0
  O  O15  1  0.461  0.952  0.353  1.0
  O  O16  1  0.463  0.512  0.355  1.0
  O  O17  1  0.349  0.176  0.114  1.0
  O  O18  1  0.650  0.829  0.593  1.0
  O  O19  1  0.506  0.458  0.840  1.0
  O  O20  1  0.497  0.043  0.842  1.0
  O  O21  1  0.645  0.315  0.589  1.0
  O  O22  1  0.849  0.679  0.098  1.0
  O  O23  1  0.938  0.457  0.841  1.0
  O  O24  1  0.844  0.171  0.101  1.0
[/CIF]
.
The crystal structure described by MgFe3Co5O16 crystallizes in the triclinic P1 space group. Mg(1) is bonded in a rectangular see-saw-like geometry to one O(14), one O(16), one O(5), and one O(9) atom. 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,  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 52-53°. 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 FeO6 octahedra that share corners with two equivalent Co(2)O6 octahedra,  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 52-53°. 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,  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 51-53°. 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,  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 49-50°. 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 48-53°. 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,  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 48-49°. 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,  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 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,  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 T-shaped geometry to one Fe(1), one Co(1), and one Co(3) atom. In the fourth O site, O(4) is bonded in a 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 tetrahedral geometry to one Mg(1), 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 rectangular see-saw-like geometry to one Mg(1), one Co(1), one Co(3), and one Co(5) atom. In the tenth O site, O(10) is bonded in a trigonal planar geometry to one Fe(2), one Fe(3), and one Co(2) atom. In the eleventh O site, O(11) is bonded in a distorted trigonal non-coplanar geometry to one Fe(2), one Co(4), and one Co(5) atom. In the twelfth O site, O(12) is bonded in a distorted trigonal non-coplanar geometry to one Fe(3), one Co(4), and one Co(5) atom. In the thirteenth O site, O(13) is bonded in a distorted T-shaped geometry to one Fe(2), one Fe(3), and one Co(4) atom. In the fourteenth O site, O(14) is bonded in a rectangular see-saw-like geometry to one Mg(1), one Fe(1), one Co(1), and one Co(5) atom. In the fifteenth O site, O(15) is bonded in a trigonal non-coplanar geometry to one Fe(2), one Fe(3), and one Co(5) atom. In the sixteenth O site, O(16) is bonded in a rectangular see-saw-like geometry to one Mg(1), one Fe(1), one Co(3), and one Co(5) atom. is represented by the Crystallographic Information File (CIF) [CIF]
data_MgFe3Co5O16
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.826
_cell_length_b   5.746
_cell_length_c   9.131
_cell_angle_alpha   89.928
_cell_angle_beta   91.083
_cell_angle_gamma   119.493
_symmetry_Int_Tables_number   1
_cell_volume   265.996
_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  0.036  0.023  0.991  1.0
  Fe  Fe1  1  0.671  0.835  0.222  1.0
  Fe  Fe2  1  0.825  0.656  0.692  1.0
  Fe  Fe3  1  0.820  0.165  0.694  1.0
  Co  Co4  1  0.178  0.833  0.229  1.0
  Co  Co5  1  0.332  0.669  0.488  1.0
  Co  Co6  1  0.179  0.347  0.231  1.0
  Co  Co7  1  0.337  0.169  0.697  1.0
  Co  Co8  1  0.667  0.333  0.980  1.0
  O  O9  1  0.182  0.834  0.600  1.0
  O  O10  1  0.043  0.523  0.349  1.0
  O  O11  1  0.308  0.654  0.121  1.0
  O  O12  1  0.022  0.012  0.320  1.0
  O  O13  1  0.004  0.005  0.789  1.0
  O  O14  1  0.183  0.351  0.600  1.0
  O  O15  1  0.461  0.952  0.353  1.0
  O  O16  1  0.463  0.512  0.355  1.0
  O  O17  1  0.349  0.176  0.114  1.0
  O  O18  1  0.650  0.829  0.593  1.0
  O  O19  1  0.506  0.458  0.840  1.0
  O  O20  1  0.497  0.043  0.842  1.0
  O  O21  1  0.645  0.315  0.589  1.0
  O  O22  1  0.849  0.679  0.098  1.0
  O  O23  1  0.938  0.457  0.841  1.0
  O  O24  1  0.844  0.171  0.101  1.0
[/CIF]
.