The crystal structure described by Cr2Mn3Co3O16 is Rutile-derived structured and crystallizes in the monoclinic Cm space group. There are two inequivalent Cr sites. In the first Cr site, Cr(1) is bonded to one O(2), one O(8), two equivalent O(1), and two equivalent O(6) atoms to form CrO6 octahedra that share corners with two equivalent Co(2)O6 octahedra, corners with four equivalent Mn(2)O6 octahedra,  an edgeedge with one Mn(1)O6 octahedra, and edges with two equivalent Co(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 50-52°. In the second Cr site, Cr(2) is bonded to one O(12), one O(7), two equivalent O(11), and two equivalent O(9) atoms to form CrO6 octahedra that share corners with two equivalent Mn(1)O6 octahedra, corners with four equivalent Co(1)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra, and edges with two equivalent Mn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 51-52°. There are two inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to one O(3), one O(4), two equivalent O(11), and two equivalent O(6) atoms to form MnO6 octahedra that share corners with two equivalent Cr(2)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra, and edges with four equivalent Co(1)O6 octahedra. The corner-sharing octahedral tilt angles are 52°. In the second Mn site, Mn(2) is bonded to one O(1), one O(10), one O(12), one O(5), one O(8), and one O(9) atom to form MnO6 octahedra that share corners with two equivalent Cr(1)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra, edges with two equivalent Mn(2)O6 octahedra, and edges with two equivalent Co(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 51-52°. There are two inequivalent Co sites. In the first Co site, Co(1) is bonded to one O(11), one O(2), one O(3), one O(4), one O(6), and one O(7) atom to form CoO6 octahedra that share corners with two equivalent Cr(2)O6 octahedra,  an edgeedge with one Cr(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 51-52°. In the second Co site, Co(2) is bonded to one O(10), one O(5), two equivalent O(1), and two equivalent O(9) atoms to form CoO6 octahedra that share corners with two equivalent Cr(1)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra, and edges with four equivalent Mn(2)O6 octahedra. The corner-sharing octahedral tilt angles are 50°. There are twelve inequivalent O sites. In the first O site, O(1) is bonded in a trigonal planar geometry to one Cr(1), one Mn(2), and one Co(2) atom. In the second O site, O(2) is bonded in a distorted trigonal non-coplanar geometry to one Cr(1) and two equivalent Co(1) atoms. In the third O site, O(3) is bonded in a distorted T-shaped geometry to one Mn(1) and two equivalent Co(1) atoms. In the fourth O site, O(4) is bonded in a distorted trigonal non-coplanar geometry to one Mn(1) and two equivalent Co(1) atoms. In the fifth O site, O(5) is bonded in a distorted T-shaped geometry to two equivalent Mn(2) and one Co(2) atom. In the sixth O site, O(6) is bonded in a distorted trigonal non-coplanar geometry to one Cr(1), one Mn(1), and one Co(1) atom. In the seventh O site, O(7) is bonded in a trigonal planar geometry to one Cr(2) and two equivalent Co(1) atoms. In the eighth O site, O(8) is bonded in a distorted trigonal planar geometry to one Cr(1) and two equivalent Mn(2) atoms. In the ninth O site, O(9) is bonded in a distorted trigonal non-coplanar geometry to one Cr(2), one Mn(2), and one Co(2) atom. In the tenth O site, O(10) is bonded in a distorted T-shaped geometry to two equivalent Mn(2) and one Co(2) atom. In the eleventh O site, O(11) is bonded in a trigonal planar geometry to one Cr(2), one Mn(1), and one Co(1) atom. In the twelfth O site, O(12) is bonded in a distorted trigonal non-coplanar geometry to one Cr(2) and two equivalent Mn(2) atoms. is represented by the CIF card [CIF]
data_Mn3Cr2Co3O16
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.685
_cell_length_b   5.711
_cell_length_c   8.801
_cell_angle_alpha   90.003
_cell_angle_beta   90.696
_cell_angle_gamma   120.157
_symmetry_Int_Tables_number   1
_cell_volume   247.028
_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  0.832  0.212  1.0
  Mn  Mn1  1  0.834  0.664  0.712  1.0
  Mn  Mn2  1  0.834  0.169  0.712  1.0
  Cr  Cr3  1  0.335  0.667  0.488  1.0
  Cr  Cr4  1  0.665  0.332  0.990  1.0
  Co  Co5  1  0.168  0.832  0.209  1.0
  Co  Co6  1  0.168  0.336  0.209  1.0
  Co  Co7  1  0.334  0.167  0.708  1.0
  O  O8  1  0.171  0.839  0.603  1.0
  O  O9  1  0.045  0.523  0.331  1.0
  O  O10  1  0.328  0.664  0.100  1.0
  O  O11  1  0.007  0.003  0.316  1.0
  O  O12  1  0.004  0.002  0.819  1.0
  O  O13  1  0.171  0.332  0.603  1.0
  O  O14  1  0.474  0.959  0.337  1.0
  O  O15  1  0.474  0.515  0.337  1.0
  O  O16  1  0.331  0.165  0.107  1.0
  O  O17  1  0.662  0.831  0.599  1.0
  O  O18  1  0.515  0.473  0.837  1.0
  O  O19  1  0.515  0.043  0.837  1.0
  O  O20  1  0.666  0.333  0.600  1.0
  O  O21  1  0.837  0.666  0.103  1.0
  O  O22  1  0.962  0.481  0.841  1.0
  O  O23  1  0.837  0.171  0.103  1.0
[/CIF]
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The crystal structure described by Cr2Mn3Co3O16 is Rutile-derived structured and crystallizes in the monoclinic Cm space group. There are two inequivalent Cr sites. In the first Cr site, Cr(1) is bonded to one O(2), one O(8), two equivalent O(1), and two equivalent O(6) atoms to form CrO6 octahedra that share corners with two equivalent Co(2)O6 octahedra, corners with four equivalent Mn(2)O6 octahedra,  an edgeedge with one Mn(1)O6 octahedra, and edges with two equivalent Co(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 50-52°. In the second Cr site, Cr(2) is bonded to one O(12), one O(7), two equivalent O(11), and two equivalent O(9) atoms to form CrO6 octahedra that share corners with two equivalent Mn(1)O6 octahedra, corners with four equivalent Co(1)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra, and edges with two equivalent Mn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 51-52°. There are two inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to one O(3), one O(4), two equivalent O(11), and two equivalent O(6) atoms to form MnO6 octahedra that share corners with two equivalent Cr(2)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra, and edges with four equivalent Co(1)O6 octahedra. The corner-sharing octahedral tilt angles are 52°. In the second Mn site, Mn(2) is bonded to one O(1), one O(10), one O(12), one O(5), one O(8), and one O(9) atom to form MnO6 octahedra that share corners with two equivalent Cr(1)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra, edges with two equivalent Mn(2)O6 octahedra, and edges with two equivalent Co(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 51-52°. There are two inequivalent Co sites. In the first Co site, Co(1) is bonded to one O(11), one O(2), one O(3), one O(4), one O(6), and one O(7) atom to form CoO6 octahedra that share corners with two equivalent Cr(2)O6 octahedra,  an edgeedge with one Cr(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 51-52°. In the second Co site, Co(2) is bonded to one O(10), one O(5), two equivalent O(1), and two equivalent O(9) atoms to form CoO6 octahedra that share corners with two equivalent Cr(1)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra, and edges with four equivalent Mn(2)O6 octahedra. The corner-sharing octahedral tilt angles are 50°. There are twelve inequivalent O sites. In the first O site, O(1) is bonded in a trigonal planar geometry to one Cr(1), one Mn(2), and one Co(2) atom. In the second O site, O(2) is bonded in a distorted trigonal non-coplanar geometry to one Cr(1) and two equivalent Co(1) atoms. In the third O site, O(3) is bonded in a distorted T-shaped geometry to one Mn(1) and two equivalent Co(1) atoms. In the fourth O site, O(4) is bonded in a distorted trigonal non-coplanar geometry to one Mn(1) and two equivalent Co(1) atoms. In the fifth O site, O(5) is bonded in a distorted T-shaped geometry to two equivalent Mn(2) and one Co(2) atom. In the sixth O site, O(6) is bonded in a distorted trigonal non-coplanar geometry to one Cr(1), one Mn(1), and one Co(1) atom. In the seventh O site, O(7) is bonded in a trigonal planar geometry to one Cr(2) and two equivalent Co(1) atoms. In the eighth O site, O(8) is bonded in a distorted trigonal planar geometry to one Cr(1) and two equivalent Mn(2) atoms. In the ninth O site, O(9) is bonded in a distorted trigonal non-coplanar geometry to one Cr(2), one Mn(2), and one Co(2) atom. In the tenth O site, O(10) is bonded in a distorted T-shaped geometry to two equivalent Mn(2) and one Co(2) atom. In the eleventh O site, O(11) is bonded in a trigonal planar geometry to one Cr(2), one Mn(1), and one Co(1) atom. In the twelfth O site, O(12) is bonded in a distorted trigonal non-coplanar geometry to one Cr(2) and two equivalent Mn(2) atoms. is represented by the CIF card [CIF]
data_Mn3Cr2Co3O16
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.685
_cell_length_b   5.711
_cell_length_c   8.801
_cell_angle_alpha   90.003
_cell_angle_beta   90.696
_cell_angle_gamma   120.157
_symmetry_Int_Tables_number   1
_cell_volume   247.028
_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  0.832  0.212  1.0
  Mn  Mn1  1  0.834  0.664  0.712  1.0
  Mn  Mn2  1  0.834  0.169  0.712  1.0
  Cr  Cr3  1  0.335  0.667  0.488  1.0
  Cr  Cr4  1  0.665  0.332  0.990  1.0
  Co  Co5  1  0.168  0.832  0.209  1.0
  Co  Co6  1  0.168  0.336  0.209  1.0
  Co  Co7  1  0.334  0.167  0.708  1.0
  O  O8  1  0.171  0.839  0.603  1.0
  O  O9  1  0.045  0.523  0.331  1.0
  O  O10  1  0.328  0.664  0.100  1.0
  O  O11  1  0.007  0.003  0.316  1.0
  O  O12  1  0.004  0.002  0.819  1.0
  O  O13  1  0.171  0.332  0.603  1.0
  O  O14  1  0.474  0.959  0.337  1.0
  O  O15  1  0.474  0.515  0.337  1.0
  O  O16  1  0.331  0.165  0.107  1.0
  O  O17  1  0.662  0.831  0.599  1.0
  O  O18  1  0.515  0.473  0.837  1.0
  O  O19  1  0.515  0.043  0.837  1.0
  O  O20  1  0.666  0.333  0.600  1.0
  O  O21  1  0.837  0.666  0.103  1.0
  O  O22  1  0.962  0.481  0.841  1.0
  O  O23  1  0.837  0.171  0.103  1.0
[/CIF]
.