The crystal structure described by Cr3Co5O16 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(11), one O(2), one O(3), one O(4), one O(6), and one O(7) atom to form CrO6 octahedra that share corners with two equivalent Co(3)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, and edges with two equivalent Co(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 49-50°. In the second Cr site, Cr(2) is bonded to one O(10), one O(5), two equivalent O(1), and two equivalent O(9) atoms to form CrO6 octahedra that share corners with two equivalent Co(1)O6 octahedra,  an edgeedge with one Co(3)O6 octahedra, and edges with four equivalent Co(4)O6 octahedra. The corner-sharing octahedral tilt angles are 51°. There are four inequivalent Co sites. In the first Co site, Co(1) is bonded to one O(2), one O(8), two equivalent O(1), and two equivalent O(6) atoms to form CoO6 octahedra that share corners with two equivalent Cr(2)O6 octahedra, corners with four equivalent Co(4)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra, and edges with two equivalent Cr(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(3), one O(4), two equivalent O(11), and two equivalent O(6) atoms to form CoO6 octahedra that share corners with two equivalent Co(3)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra, and edges with four equivalent Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles are 51°. In the third Co site, Co(3) is bonded to one O(12), one O(7), two equivalent O(11), and two equivalent O(9) atoms to form CoO6 octahedra that share corners with two equivalent Co(2)O6 octahedra, corners with four equivalent Cr(1)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra, and edges with two equivalent Co(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 49-51°. In the fourth Co site, Co(4) 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 CoO6 octahedra that share corners with two equivalent Co(1)O6 octahedra,  an edgeedge with one Co(3)O6 octahedra, edges with two equivalent Cr(2)O6 octahedra, and edges with two equivalent Co(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 51-52°. There are twelve inequivalent O sites. In the first O site, O(1) is bonded in a distorted trigonal planar geometry to one Cr(2), one Co(1), and one Co(4) atom. In the second O site, O(2) is bonded in a trigonal non-coplanar geometry to two equivalent Cr(1) and one Co(1) atom. In the third O site, O(3) is bonded in a distorted T-shaped geometry to two equivalent Cr(1) and one Co(2) atom. In the fourth O site, O(4) is bonded in a distorted T-shaped geometry to two equivalent Cr(1) and one Co(2) atom. In the fifth O site, O(5) is bonded in a distorted trigonal non-coplanar geometry to one Cr(2) and two equivalent Co(4) atoms. In the sixth O site, O(6) is bonded in a distorted T-shaped geometry to one Cr(1), one Co(1), and one Co(2) atom. In the seventh O site, O(7) is bonded in a distorted trigonal planar geometry to two equivalent Cr(1) and one Co(3) atom. In the eighth O site, O(8) is bonded in a trigonal planar geometry to one Co(1) and two equivalent Co(4) atoms. In the ninth O site, O(9) is bonded in a distorted trigonal non-coplanar geometry to one Cr(2), one Co(3), and one Co(4) atom. In the tenth O site, O(10) is bonded in a distorted trigonal non-coplanar geometry to one Cr(2) and two equivalent Co(4) atoms. In the eleventh O site, O(11) is bonded in a distorted trigonal planar geometry to one Cr(1), one Co(2), and one Co(3) atom. In the twelfth O site, O(12) is bonded in a distorted T-shaped geometry to one Co(3) and two equivalent Co(4) atoms. is represented by the CIF card [CIF]
data_Cr3Co5O16
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.731
_cell_length_b   5.731
_cell_length_c   8.611
_cell_angle_alpha   89.999
_cell_angle_beta   89.999
_cell_angle_gamma   60.344
_symmetry_Int_Tables_number   1
_cell_volume   245.783
_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
  Cr  Cr0  1  0.672  0.168  0.798  1.0
  Cr  Cr1  1  0.168  0.672  0.798  1.0
  Cr  Cr2  1  0.838  0.838  0.299  1.0
  Co  Co3  1  0.329  0.329  0.513  1.0
  Co  Co4  1  0.173  0.173  0.787  1.0
  Co  Co5  1  0.665  0.665  0.018  1.0
  Co  Co6  1  0.831  0.340  0.292  1.0
  Co  Co7  1  0.340  0.831  0.292  1.0
  O  O8  1  0.662  0.167  0.395  1.0
  O  O9  1  0.471  0.471  0.656  1.0
  O  O10  1  0.328  0.328  0.905  1.0
  O  O11  1  0.009  0.009  0.683  1.0
  O  O12  1  0.009  0.009  0.184  1.0
  O  O13  1  0.167  0.662  0.395  1.0
  O  O14  1  0.473  0.044  0.655  1.0
  O  O15  1  0.044  0.473  0.655  1.0
  O  O16  1  0.825  0.825  0.891  1.0
  O  O17  1  0.168  0.168  0.397  1.0
  O  O18  1  0.952  0.522  0.159  1.0
  O  O19  1  0.522  0.952  0.159  1.0
  O  O20  1  0.660  0.660  0.402  1.0
  O  O21  1  0.828  0.340  0.898  1.0
  O  O22  1  0.521  0.521  0.161  1.0
  O  O23  1  0.340  0.828  0.898  1.0
[/CIF]
.
The crystal structure described by Cr3Co5O16 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(11), one O(2), one O(3), one O(4), one O(6), and one O(7) atom to form CrO6 octahedra that share corners with two equivalent Co(3)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, and edges with two equivalent Co(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 49-50°. In the second Cr site, Cr(2) is bonded to one O(10), one O(5), two equivalent O(1), and two equivalent O(9) atoms to form CrO6 octahedra that share corners with two equivalent Co(1)O6 octahedra,  an edgeedge with one Co(3)O6 octahedra, and edges with four equivalent Co(4)O6 octahedra. The corner-sharing octahedral tilt angles are 51°. There are four inequivalent Co sites. In the first Co site, Co(1) is bonded to one O(2), one O(8), two equivalent O(1), and two equivalent O(6) atoms to form CoO6 octahedra that share corners with two equivalent Cr(2)O6 octahedra, corners with four equivalent Co(4)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra, and edges with two equivalent Cr(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(3), one O(4), two equivalent O(11), and two equivalent O(6) atoms to form CoO6 octahedra that share corners with two equivalent Co(3)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra, and edges with four equivalent Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles are 51°. In the third Co site, Co(3) is bonded to one O(12), one O(7), two equivalent O(11), and two equivalent O(9) atoms to form CoO6 octahedra that share corners with two equivalent Co(2)O6 octahedra, corners with four equivalent Cr(1)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra, and edges with two equivalent Co(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 49-51°. In the fourth Co site, Co(4) 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 CoO6 octahedra that share corners with two equivalent Co(1)O6 octahedra,  an edgeedge with one Co(3)O6 octahedra, edges with two equivalent Cr(2)O6 octahedra, and edges with two equivalent Co(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 51-52°. There are twelve inequivalent O sites. In the first O site, O(1) is bonded in a distorted trigonal planar geometry to one Cr(2), one Co(1), and one Co(4) atom. In the second O site, O(2) is bonded in a trigonal non-coplanar geometry to two equivalent Cr(1) and one Co(1) atom. In the third O site, O(3) is bonded in a distorted T-shaped geometry to two equivalent Cr(1) and one Co(2) atom. In the fourth O site, O(4) is bonded in a distorted T-shaped geometry to two equivalent Cr(1) and one Co(2) atom. In the fifth O site, O(5) is bonded in a distorted trigonal non-coplanar geometry to one Cr(2) and two equivalent Co(4) atoms. In the sixth O site, O(6) is bonded in a distorted T-shaped geometry to one Cr(1), one Co(1), and one Co(2) atom. In the seventh O site, O(7) is bonded in a distorted trigonal planar geometry to two equivalent Cr(1) and one Co(3) atom. In the eighth O site, O(8) is bonded in a trigonal planar geometry to one Co(1) and two equivalent Co(4) atoms. In the ninth O site, O(9) is bonded in a distorted trigonal non-coplanar geometry to one Cr(2), one Co(3), and one Co(4) atom. In the tenth O site, O(10) is bonded in a distorted trigonal non-coplanar geometry to one Cr(2) and two equivalent Co(4) atoms. In the eleventh O site, O(11) is bonded in a distorted trigonal planar geometry to one Cr(1), one Co(2), and one Co(3) atom. In the twelfth O site, O(12) is bonded in a distorted T-shaped geometry to one Co(3) and two equivalent Co(4) atoms. is represented by the CIF card [CIF]
data_Cr3Co5O16
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.731
_cell_length_b   5.731
_cell_length_c   8.611
_cell_angle_alpha   89.999
_cell_angle_beta   89.999
_cell_angle_gamma   60.344
_symmetry_Int_Tables_number   1
_cell_volume   245.783
_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
  Cr  Cr0  1  0.672  0.168  0.798  1.0
  Cr  Cr1  1  0.168  0.672  0.798  1.0
  Cr  Cr2  1  0.838  0.838  0.299  1.0
  Co  Co3  1  0.329  0.329  0.513  1.0
  Co  Co4  1  0.173  0.173  0.787  1.0
  Co  Co5  1  0.665  0.665  0.018  1.0
  Co  Co6  1  0.831  0.340  0.292  1.0
  Co  Co7  1  0.340  0.831  0.292  1.0
  O  O8  1  0.662  0.167  0.395  1.0
  O  O9  1  0.471  0.471  0.656  1.0
  O  O10  1  0.328  0.328  0.905  1.0
  O  O11  1  0.009  0.009  0.683  1.0
  O  O12  1  0.009  0.009  0.184  1.0
  O  O13  1  0.167  0.662  0.395  1.0
  O  O14  1  0.473  0.044  0.655  1.0
  O  O15  1  0.044  0.473  0.655  1.0
  O  O16  1  0.825  0.825  0.891  1.0
  O  O17  1  0.168  0.168  0.397  1.0
  O  O18  1  0.952  0.522  0.159  1.0
  O  O19  1  0.522  0.952  0.159  1.0
  O  O20  1  0.660  0.660  0.402  1.0
  O  O21  1  0.828  0.340  0.898  1.0
  O  O22  1  0.521  0.521  0.161  1.0
  O  O23  1  0.340  0.828  0.898  1.0
[/CIF]
.