The material described by Mn3Fe2Co3O16 is Rutile-derived structured and crystallizes in the triclinic P1 space group. There are three inequivalent Mn sites. In the first Mn site, Mn(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 MnO6 octahedra that share corners with two equivalent Fe(2)O6 octahedra,  an edgeedge with one Fe(1)O6 octahedra, edges with two equivalent Co(1)O6 octahedra, and edges with two equivalent Co(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 52-53°. In the second Mn site, Mn(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 MnO6 octahedra that share corners with two equivalent Fe(1)O6 octahedra,  an edgeedge with one Fe(2)O6 octahedra, edges with two equivalent Mn(3)O6 octahedra, and edges with two equivalent Co(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 52-53°. In the third Mn site, Mn(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 MnO6 octahedra that share corners with two equivalent Fe(1)O6 octahedra,  an edgeedge with one Fe(2)O6 octahedra, edges with two equivalent Mn(2)O6 octahedra, and edges with two equivalent Co(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 52-53°. There are two inequivalent Fe sites. In the first Fe site, Fe(1) 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 FeO6 octahedra that share corners with two equivalent Mn(2)O6 octahedra, corners with two equivalent Mn(3)O6 octahedra, corners with two equivalent Co(3)O6 octahedra,  an edgeedge with one Mn(1)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra, and  an edgeedge with one Co(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 51-53°. In the second Fe site, Fe(2) 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 FeO6 octahedra that share corners with two equivalent Mn(1)O6 octahedra, corners with two equivalent Co(1)O6 octahedra, corners with two equivalent Co(2)O6 octahedra,  an edgeedge with one Mn(2)O6 octahedra,  an edgeedge with one Mn(3)O6 octahedra, and  an edgeedge with one Co(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 52-53°. There are three 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 Fe(2)O6 octahedra,  an edgeedge with one Fe(1)O6 octahedra, edges with two equivalent Mn(1)O6 octahedra, and edges with two equivalent Co(2)O6 octahedra. The corner-sharing octahedral tilt angles are 52°. In the second Co site, Co(2) 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 Fe(2)O6 octahedra,  an edgeedge with one Fe(1)O6 octahedra, edges with two equivalent Mn(1)O6 octahedra, and edges with two equivalent Co(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 52-53°. In the third Co site, Co(3) 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 Fe(1)O6 octahedra,  an edgeedge with one Fe(2)O6 octahedra, edges with two equivalent Mn(2)O6 octahedra, and edges with two equivalent Mn(3)O6 octahedra. The corner-sharing octahedral tilt angles are 51°. There are sixteen inequivalent O sites. In the first O site, O(1) is bonded in a distorted trigonal planar geometry to one Mn(2), one Fe(1), and one Co(3) atom. In the second O site, O(2) is bonded in a distorted trigonal non-coplanar geometry to one Fe(1), one Co(1), and one Co(2) atom. In the third O site, O(3) is bonded in a distorted T-shaped geometry to one Mn(1), one Co(1), and one Co(2) atom. In the fourth O site, O(4) is bonded in a distorted T-shaped geometry to one Mn(1), one Co(1), and one Co(2) atom. In the fifth O site, O(5) is bonded in a distorted T-shaped geometry to one Mn(2), one Mn(3), and one Co(3) atom. In the sixth O site, O(6) is bonded in a distorted trigonal planar geometry to one Mn(3), one Fe(1), and one Co(3) atom. In the seventh O site, O(7) is bonded in a distorted trigonal non-coplanar geometry to one Mn(1), one Fe(1), and one Co(1) atom. In the eighth O site, O(8) is bonded in a distorted trigonal non-coplanar geometry to one Mn(1), one Fe(1), and one Co(2) atom. In the ninth O site, O(9) is bonded in a trigonal planar geometry to one Fe(2), one Co(1), and one Co(2) atom. In the tenth O site, O(10) is bonded in a distorted trigonal planar geometry to one Mn(2), one Mn(3), and one Fe(1) atom. In the eleventh O site, O(11) is bonded in a distorted trigonal non-coplanar geometry to one Mn(2), one Fe(2), and one Co(3) atom. In the twelfth O site, O(12) is bonded in a distorted trigonal non-coplanar geometry to one Mn(3), one Fe(2), and one Co(3) atom. In the thirteenth O site, O(13) is bonded in a distorted T-shaped geometry to one Mn(2), one Mn(3), and one Co(3) atom. In the fourteenth O site, O(14) is bonded in a trigonal planar geometry to one Mn(1), one Fe(2), and one Co(1) atom. In the fifteenth O site, O(15) is bonded in a distorted trigonal non-coplanar geometry to one Mn(2), one Mn(3), and one Fe(2) atom. In the sixteenth O site, O(16) is bonded in a trigonal planar geometry to one Mn(1), one Fe(2), and one Co(2) atom. is represented by the CIF file [CIF]
data_Mn3Fe2Co3O16
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.699
_cell_length_b   5.718
_cell_length_c   9.081
_cell_angle_alpha   90.038
_cell_angle_beta   91.169
_cell_angle_gamma   120.102
_symmetry_Int_Tables_number   1
_cell_volume   255.961
_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
  Mn  Mn0  1  0.664  0.833  0.215  1.0
  Mn  Mn1  1  0.834  0.664  0.713  1.0
  Mn  Mn2  1  0.834  0.168  0.713  1.0
  Fe  Fe3  1  0.333  0.666  0.491  1.0
  Fe  Fe4  1  0.667  0.334  0.993  1.0
  Co  Co5  1  0.168  0.835  0.210  1.0
  Co  Co6  1  0.168  0.334  0.209  1.0
  Co  Co7  1  0.333  0.166  0.708  1.0
  O  O8  1  0.166  0.842  0.603  1.0
  O  O9  1  0.044  0.522  0.329  1.0
  O  O10  1  0.330  0.665  0.104  1.0
  O  O11  1  0.007  0.005  0.317  1.0
  O  O12  1  0.005  0.002  0.818  1.0
  O  O13  1  0.166  0.322  0.604  1.0
  O  O14  1  0.477  0.963  0.334  1.0
  O  O15  1  0.477  0.516  0.334  1.0
  O  O16  1  0.320  0.160  0.109  1.0
  O  O17  1  0.673  0.836  0.598  1.0
  O  O18  1  0.513  0.473  0.832  1.0
  O  O19  1  0.513  0.040  0.832  1.0
  O  O20  1  0.664  0.331  0.603  1.0
  O  O21  1  0.840  0.675  0.104  1.0
  O  O22  1  0.965  0.482  0.837  1.0
  O  O23  1  0.840  0.166  0.104  1.0
[/CIF]
.
The material described by Mn3Fe2Co3O16 is Rutile-derived structured and crystallizes in the triclinic P1 space group. There are three inequivalent Mn sites. In the first Mn site, Mn(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 MnO6 octahedra that share corners with two equivalent Fe(2)O6 octahedra,  an edgeedge with one Fe(1)O6 octahedra, edges with two equivalent Co(1)O6 octahedra, and edges with two equivalent Co(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 52-53°. In the second Mn site, Mn(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 MnO6 octahedra that share corners with two equivalent Fe(1)O6 octahedra,  an edgeedge with one Fe(2)O6 octahedra, edges with two equivalent Mn(3)O6 octahedra, and edges with two equivalent Co(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 52-53°. In the third Mn site, Mn(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 MnO6 octahedra that share corners with two equivalent Fe(1)O6 octahedra,  an edgeedge with one Fe(2)O6 octahedra, edges with two equivalent Mn(2)O6 octahedra, and edges with two equivalent Co(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 52-53°. There are two inequivalent Fe sites. In the first Fe site, Fe(1) 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 FeO6 octahedra that share corners with two equivalent Mn(2)O6 octahedra, corners with two equivalent Mn(3)O6 octahedra, corners with two equivalent Co(3)O6 octahedra,  an edgeedge with one Mn(1)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra, and  an edgeedge with one Co(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 51-53°. In the second Fe site, Fe(2) 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 FeO6 octahedra that share corners with two equivalent Mn(1)O6 octahedra, corners with two equivalent Co(1)O6 octahedra, corners with two equivalent Co(2)O6 octahedra,  an edgeedge with one Mn(2)O6 octahedra,  an edgeedge with one Mn(3)O6 octahedra, and  an edgeedge with one Co(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 52-53°. There are three 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 Fe(2)O6 octahedra,  an edgeedge with one Fe(1)O6 octahedra, edges with two equivalent Mn(1)O6 octahedra, and edges with two equivalent Co(2)O6 octahedra. The corner-sharing octahedral tilt angles are 52°. In the second Co site, Co(2) 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 Fe(2)O6 octahedra,  an edgeedge with one Fe(1)O6 octahedra, edges with two equivalent Mn(1)O6 octahedra, and edges with two equivalent Co(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 52-53°. In the third Co site, Co(3) 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 Fe(1)O6 octahedra,  an edgeedge with one Fe(2)O6 octahedra, edges with two equivalent Mn(2)O6 octahedra, and edges with two equivalent Mn(3)O6 octahedra. The corner-sharing octahedral tilt angles are 51°. There are sixteen inequivalent O sites. In the first O site, O(1) is bonded in a distorted trigonal planar geometry to one Mn(2), one Fe(1), and one Co(3) atom. In the second O site, O(2) is bonded in a distorted trigonal non-coplanar geometry to one Fe(1), one Co(1), and one Co(2) atom. In the third O site, O(3) is bonded in a distorted T-shaped geometry to one Mn(1), one Co(1), and one Co(2) atom. In the fourth O site, O(4) is bonded in a distorted T-shaped geometry to one Mn(1), one Co(1), and one Co(2) atom. In the fifth O site, O(5) is bonded in a distorted T-shaped geometry to one Mn(2), one Mn(3), and one Co(3) atom. In the sixth O site, O(6) is bonded in a distorted trigonal planar geometry to one Mn(3), one Fe(1), and one Co(3) atom. In the seventh O site, O(7) is bonded in a distorted trigonal non-coplanar geometry to one Mn(1), one Fe(1), and one Co(1) atom. In the eighth O site, O(8) is bonded in a distorted trigonal non-coplanar geometry to one Mn(1), one Fe(1), and one Co(2) atom. In the ninth O site, O(9) is bonded in a trigonal planar geometry to one Fe(2), one Co(1), and one Co(2) atom. In the tenth O site, O(10) is bonded in a distorted trigonal planar geometry to one Mn(2), one Mn(3), and one Fe(1) atom. In the eleventh O site, O(11) is bonded in a distorted trigonal non-coplanar geometry to one Mn(2), one Fe(2), and one Co(3) atom. In the twelfth O site, O(12) is bonded in a distorted trigonal non-coplanar geometry to one Mn(3), one Fe(2), and one Co(3) atom. In the thirteenth O site, O(13) is bonded in a distorted T-shaped geometry to one Mn(2), one Mn(3), and one Co(3) atom. In the fourteenth O site, O(14) is bonded in a trigonal planar geometry to one Mn(1), one Fe(2), and one Co(1) atom. In the fifteenth O site, O(15) is bonded in a distorted trigonal non-coplanar geometry to one Mn(2), one Mn(3), and one Fe(2) atom. In the sixteenth O site, O(16) is bonded in a trigonal planar geometry to one Mn(1), one Fe(2), and one Co(2) atom. is represented by the CIF file [CIF]
data_Mn3Fe2Co3O16
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.699
_cell_length_b   5.718
_cell_length_c   9.081
_cell_angle_alpha   90.038
_cell_angle_beta   91.169
_cell_angle_gamma   120.102
_symmetry_Int_Tables_number   1
_cell_volume   255.961
_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
  Mn  Mn0  1  0.664  0.833  0.215  1.0
  Mn  Mn1  1  0.834  0.664  0.713  1.0
  Mn  Mn2  1  0.834  0.168  0.713  1.0
  Fe  Fe3  1  0.333  0.666  0.491  1.0
  Fe  Fe4  1  0.667  0.334  0.993  1.0
  Co  Co5  1  0.168  0.835  0.210  1.0
  Co  Co6  1  0.168  0.334  0.209  1.0
  Co  Co7  1  0.333  0.166  0.708  1.0
  O  O8  1  0.166  0.842  0.603  1.0
  O  O9  1  0.044  0.522  0.329  1.0
  O  O10  1  0.330  0.665  0.104  1.0
  O  O11  1  0.007  0.005  0.317  1.0
  O  O12  1  0.005  0.002  0.818  1.0
  O  O13  1  0.166  0.322  0.604  1.0
  O  O14  1  0.477  0.963  0.334  1.0
  O  O15  1  0.477  0.516  0.334  1.0
  O  O16  1  0.320  0.160  0.109  1.0
  O  O17  1  0.673  0.836  0.598  1.0
  O  O18  1  0.513  0.473  0.832  1.0
  O  O19  1  0.513  0.040  0.832  1.0
  O  O20  1  0.664  0.331  0.603  1.0
  O  O21  1  0.840  0.675  0.104  1.0
  O  O22  1  0.965  0.482  0.837  1.0
  O  O23  1  0.840  0.166  0.104  1.0
[/CIF]
.