The crystal structure described by Cr3Mn2Co3O16 is Rutile-derived structured and crystallizes in the triclinic P1 space group. There are three inequivalent Cr sites. In the first Cr site, Cr(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 CrO6 octahedra that share corners with two equivalent Mn(2)O6 octahedra,  an edgeedge with one Mn(1)O6 octahedra, edges with two equivalent Cr(2)O6 octahedra, and edges with two equivalent Co(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 49-50°. In the second Cr site, Cr(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 CrO6 octahedra that share corners with two equivalent Mn(2)O6 octahedra,  an edgeedge with one Mn(1)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, and edges with two equivalent Co(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 49-50°. In the third Cr site, Cr(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 CrO6 octahedra that share corners with two equivalent Mn(1)O6 octahedra,  an edgeedge with one Mn(2)O6 octahedra, edges with two equivalent Co(2)O6 octahedra, and edges with two equivalent Co(3)O6 octahedra. The corner-sharing octahedral tilt angles are 50°. There are two inequivalent Mn sites. In the first Mn site, Mn(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 MnO6 octahedra that share corners with two equivalent Cr(3)O6 octahedra, corners with two equivalent Co(2)O6 octahedra, corners with two equivalent Co(3)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra, and  an edgeedge with one Co(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 50-54°. In the second Mn site, Mn(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 MnO6 octahedra that share corners with two equivalent Cr(1)O6 octahedra, corners with two equivalent Cr(2)O6 octahedra, corners with two equivalent Co(1)O6 octahedra,  an edgeedge with one Cr(3)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra, and  an edgeedge with one Co(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 49-51°. There are three inequivalent Co sites. In the first Co site, Co(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 CoO6 octahedra that share corners with two equivalent Mn(2)O6 octahedra,  an edgeedge with one Mn(1)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, and edges with two equivalent Cr(2)O6 octahedra. The corner-sharing octahedral tilt angles are 51°. In the second Co site, Co(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 CoO6 octahedra that share corners with two equivalent Mn(1)O6 octahedra,  an edgeedge with one Mn(2)O6 octahedra, edges with two equivalent Cr(3)O6 octahedra, and edges with two equivalent Co(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 51-54°. In the third Co site, Co(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 CoO6 octahedra that share corners with two equivalent Mn(1)O6 octahedra,  an edgeedge with one Mn(2)O6 octahedra, edges with two equivalent Cr(3)O6 octahedra, and edges with two equivalent Co(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 51-52°. There are sixteen inequivalent O sites. In the first O site, O(1) is bonded in a distorted trigonal planar geometry to one Cr(3), one Mn(1), and one Co(2) atom. In the second O site, O(2) is bonded in a trigonal non-coplanar geometry to one Cr(1), one Cr(2), and one Mn(1) atom. In the third O site, O(3) is bonded in a distorted T-shaped geometry to one Cr(1), one Cr(2), and one Co(1) atom. In the fourth O site, O(4) is bonded in a distorted T-shaped geometry to one Cr(1), one Cr(2), and one Co(1) atom. In the fifth O site, O(5) is bonded in a distorted T-shaped geometry to one Cr(3), one Co(2), and one Co(3) atom. In the sixth O site, O(6) is bonded in a distorted trigonal planar geometry to one Cr(3), one Mn(1), and one Co(3) atom. In the seventh O site, O(7) is bonded in a distorted T-shaped geometry to one Cr(1), one Mn(1), and one Co(1) atom. In the eighth O site, O(8) is bonded in a distorted T-shaped geometry to one Cr(2), one Mn(1), and one Co(1) atom. In the ninth O site, O(9) is bonded in a distorted trigonal planar geometry to one Cr(1), one Cr(2), and one Mn(2) atom. In the tenth O site, O(10) is bonded in a trigonal planar geometry to one Mn(1), one Co(2), and one Co(3) atom. In the eleventh O site, O(11) is bonded in a distorted T-shaped geometry to one Cr(3), one Mn(2), and one Co(2) atom. In the twelfth O site, O(12) is bonded in a distorted trigonal non-coplanar geometry to one Cr(3), one Mn(2), and one Co(3) atom. In the thirteenth O site, O(13) is bonded in a distorted T-shaped geometry to one Cr(3), one Co(2), and one Co(3) atom. In the fourteenth O site, O(14) is bonded in a distorted trigonal planar geometry to one Cr(1), one Mn(2), and one Co(1) atom. In the fifteenth O site, O(15) is bonded in a distorted T-shaped geometry to one Mn(2), one Co(2), and one Co(3) atom. In the sixteenth O site, O(16) is bonded in a distorted trigonal planar geometry to one Cr(2), one Mn(2), and one Co(1) atom. is represented by the CIF file [CIF]
data_Mn2Cr3Co3O16
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.741
_cell_length_b   5.758
_cell_length_c   8.842
_cell_angle_alpha   90.046
_cell_angle_beta   89.803
_cell_angle_gamma   120.239
_symmetry_Int_Tables_number   1
_cell_volume   252.465
_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  0.335  0.668  0.485  1.0
  Mn  Mn1  1  0.669  0.335  0.980  1.0
  Cr  Cr2  1  0.159  0.831  0.205  1.0
  Cr  Cr3  1  0.159  0.328  0.204  1.0
  Cr  Cr4  1  0.325  0.162  0.702  1.0
  Co  Co5  1  0.656  0.828  0.215  1.0
  Co  Co6  1  0.829  0.660  0.713  1.0
  Co  Co7  1  0.827  0.162  0.710  1.0
  O  O8  1  0.170  0.832  0.605  1.0
  O  O9  1  0.048  0.523  0.340  1.0
  O  O10  1  0.346  0.674  0.097  1.0
  O  O11  1  0.984  0.992  0.318  1.0
  O  O12  1  0.986  0.989  0.817  1.0
  O  O13  1  0.167  0.335  0.606  1.0
  O  O14  1  0.482  0.959  0.342  1.0
  O  O15  1  0.482  0.524  0.341  1.0
  O  O16  1  0.347  0.173  0.108  1.0
  O  O17  1  0.676  0.841  0.605  1.0
  O  O18  1  0.524  0.482  0.840  1.0
  O  O19  1  0.522  0.045  0.837  1.0
  O  O20  1  0.678  0.342  0.601  1.0
  O  O21  1  0.834  0.665  0.104  1.0
  O  O22  1  0.960  0.478  0.837  1.0
  O  O23  1  0.834  0.170  0.103  1.0
[/CIF]
.
The crystal structure described by Cr3Mn2Co3O16 is Rutile-derived structured and crystallizes in the triclinic P1 space group. There are three inequivalent Cr sites. In the first Cr site, Cr(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 CrO6 octahedra that share corners with two equivalent Mn(2)O6 octahedra,  an edgeedge with one Mn(1)O6 octahedra, edges with two equivalent Cr(2)O6 octahedra, and edges with two equivalent Co(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 49-50°. In the second Cr site, Cr(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 CrO6 octahedra that share corners with two equivalent Mn(2)O6 octahedra,  an edgeedge with one Mn(1)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, and edges with two equivalent Co(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 49-50°. In the third Cr site, Cr(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 CrO6 octahedra that share corners with two equivalent Mn(1)O6 octahedra,  an edgeedge with one Mn(2)O6 octahedra, edges with two equivalent Co(2)O6 octahedra, and edges with two equivalent Co(3)O6 octahedra. The corner-sharing octahedral tilt angles are 50°. There are two inequivalent Mn sites. In the first Mn site, Mn(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 MnO6 octahedra that share corners with two equivalent Cr(3)O6 octahedra, corners with two equivalent Co(2)O6 octahedra, corners with two equivalent Co(3)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra, and  an edgeedge with one Co(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 50-54°. In the second Mn site, Mn(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 MnO6 octahedra that share corners with two equivalent Cr(1)O6 octahedra, corners with two equivalent Cr(2)O6 octahedra, corners with two equivalent Co(1)O6 octahedra,  an edgeedge with one Cr(3)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra, and  an edgeedge with one Co(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 49-51°. There are three inequivalent Co sites. In the first Co site, Co(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 CoO6 octahedra that share corners with two equivalent Mn(2)O6 octahedra,  an edgeedge with one Mn(1)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, and edges with two equivalent Cr(2)O6 octahedra. The corner-sharing octahedral tilt angles are 51°. In the second Co site, Co(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 CoO6 octahedra that share corners with two equivalent Mn(1)O6 octahedra,  an edgeedge with one Mn(2)O6 octahedra, edges with two equivalent Cr(3)O6 octahedra, and edges with two equivalent Co(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 51-54°. In the third Co site, Co(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 CoO6 octahedra that share corners with two equivalent Mn(1)O6 octahedra,  an edgeedge with one Mn(2)O6 octahedra, edges with two equivalent Cr(3)O6 octahedra, and edges with two equivalent Co(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 51-52°. There are sixteen inequivalent O sites. In the first O site, O(1) is bonded in a distorted trigonal planar geometry to one Cr(3), one Mn(1), and one Co(2) atom. In the second O site, O(2) is bonded in a trigonal non-coplanar geometry to one Cr(1), one Cr(2), and one Mn(1) atom. In the third O site, O(3) is bonded in a distorted T-shaped geometry to one Cr(1), one Cr(2), and one Co(1) atom. In the fourth O site, O(4) is bonded in a distorted T-shaped geometry to one Cr(1), one Cr(2), and one Co(1) atom. In the fifth O site, O(5) is bonded in a distorted T-shaped geometry to one Cr(3), one Co(2), and one Co(3) atom. In the sixth O site, O(6) is bonded in a distorted trigonal planar geometry to one Cr(3), one Mn(1), and one Co(3) atom. In the seventh O site, O(7) is bonded in a distorted T-shaped geometry to one Cr(1), one Mn(1), and one Co(1) atom. In the eighth O site, O(8) is bonded in a distorted T-shaped geometry to one Cr(2), one Mn(1), and one Co(1) atom. In the ninth O site, O(9) is bonded in a distorted trigonal planar geometry to one Cr(1), one Cr(2), and one Mn(2) atom. In the tenth O site, O(10) is bonded in a trigonal planar geometry to one Mn(1), one Co(2), and one Co(3) atom. In the eleventh O site, O(11) is bonded in a distorted T-shaped geometry to one Cr(3), one Mn(2), and one Co(2) atom. In the twelfth O site, O(12) is bonded in a distorted trigonal non-coplanar geometry to one Cr(3), one Mn(2), and one Co(3) atom. In the thirteenth O site, O(13) is bonded in a distorted T-shaped geometry to one Cr(3), one Co(2), and one Co(3) atom. In the fourteenth O site, O(14) is bonded in a distorted trigonal planar geometry to one Cr(1), one Mn(2), and one Co(1) atom. In the fifteenth O site, O(15) is bonded in a distorted T-shaped geometry to one Mn(2), one Co(2), and one Co(3) atom. In the sixteenth O site, O(16) is bonded in a distorted trigonal planar geometry to one Cr(2), one Mn(2), and one Co(1) atom. is represented by the CIF file [CIF]
data_Mn2Cr3Co3O16
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.741
_cell_length_b   5.758
_cell_length_c   8.842
_cell_angle_alpha   90.046
_cell_angle_beta   89.803
_cell_angle_gamma   120.239
_symmetry_Int_Tables_number   1
_cell_volume   252.465
_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  0.335  0.668  0.485  1.0
  Mn  Mn1  1  0.669  0.335  0.980  1.0
  Cr  Cr2  1  0.159  0.831  0.205  1.0
  Cr  Cr3  1  0.159  0.328  0.204  1.0
  Cr  Cr4  1  0.325  0.162  0.702  1.0
  Co  Co5  1  0.656  0.828  0.215  1.0
  Co  Co6  1  0.829  0.660  0.713  1.0
  Co  Co7  1  0.827  0.162  0.710  1.0
  O  O8  1  0.170  0.832  0.605  1.0
  O  O9  1  0.048  0.523  0.340  1.0
  O  O10  1  0.346  0.674  0.097  1.0
  O  O11  1  0.984  0.992  0.318  1.0
  O  O12  1  0.986  0.989  0.817  1.0
  O  O13  1  0.167  0.335  0.606  1.0
  O  O14  1  0.482  0.959  0.342  1.0
  O  O15  1  0.482  0.524  0.341  1.0
  O  O16  1  0.347  0.173  0.108  1.0
  O  O17  1  0.676  0.841  0.605  1.0
  O  O18  1  0.524  0.482  0.840  1.0
  O  O19  1  0.522  0.045  0.837  1.0
  O  O20  1  0.678  0.342  0.601  1.0
  O  O21  1  0.834  0.665  0.104  1.0
  O  O22  1  0.960  0.478  0.837  1.0
  O  O23  1  0.834  0.170  0.103  1.0
[/CIF]
.