The material described by Ti3Cr3Mn2O16 is Rutile-derived structured and crystallizes in the triclinic P1 space group. There are three inequivalent Ti sites. In the first Ti site, Ti(1) 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 distorted TiO6 octahedra that share corners with two equivalent Mn(1)O6 octahedra,  an edgeedge with one Mn(2)O6 octahedra, edges with two equivalent Cr(2)O6 octahedra, and edges with two equivalent Cr(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 48-49°. In the second Ti site, Ti(2) 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 TiO6 octahedra that share corners with two equivalent Mn(2)O6 octahedra,  an edgeedge with one Mn(1)O6 octahedra, edges with two equivalent Ti(3)O6 octahedra, and edges with two equivalent Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 50-51°. In the third Ti site, Ti(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 TiO6 octahedra that share corners with two equivalent Mn(2)O6 octahedra,  an edgeedge with one Mn(1)O6 octahedra, edges with two equivalent Ti(2)O6 octahedra, and edges with two equivalent Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 50-51°. There are three inequivalent Cr sites. In the first Cr site, Cr(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 CrO6 octahedra that share corners with two equivalent Mn(2)O6 octahedra,  an edgeedge with one Mn(1)O6 octahedra, edges with two equivalent Ti(2)O6 octahedra, and edges with two equivalent Ti(3)O6 octahedra. The corner-sharing octahedral tilt angles are 49°. In the second Cr site, Cr(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 CrO6 octahedra that share corners with two equivalent Mn(1)O6 octahedra,  an edgeedge with one Mn(2)O6 octahedra, edges with two equivalent Ti(1)O6 octahedra, and edges with two equivalent Cr(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 49-50°. In the third Cr site, Cr(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 CrO6 octahedra that share corners with two equivalent Mn(1)O6 octahedra,  an edgeedge with one Mn(2)O6 octahedra, edges with two equivalent Ti(1)O6 octahedra, and edges with two equivalent Cr(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 51-54°. 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 Ti(1)O6 octahedra, corners with two equivalent Cr(2)O6 octahedra, corners with two equivalent Cr(3)O6 octahedra,  an edgeedge with one Ti(2)O6 octahedra,  an edgeedge with one Ti(3)O6 octahedra, and  an edgeedge with one Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 48-54°. 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 Ti(2)O6 octahedra, corners with two equivalent Ti(3)O6 octahedra, corners with two equivalent Cr(1)O6 octahedra,  an edgeedge with one Ti(1)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra, and  an edgeedge with one Cr(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 49-51°. There are sixteen inequivalent O sites. In the first O site, O(1) is bonded in a distorted trigonal planar geometry to one Ti(1), one Cr(2), and one Mn(1) atom. In the second O site, O(2) is bonded in a distorted trigonal non-coplanar geometry to one Ti(2), one Ti(3), and one Mn(1) atom. In the third O site, O(3) is bonded in a distorted T-shaped geometry to one Ti(2), one Ti(3), and one Cr(1) atom. In the fourth O site, O(4) is bonded in a distorted trigonal non-coplanar geometry to one Ti(2), one Ti(3), and one Cr(1) atom. In the fifth O site, O(5) is bonded in a distorted trigonal non-coplanar geometry to one Ti(1), one Cr(2), and one Cr(3) atom. In the sixth O site, O(6) is bonded in a distorted trigonal planar geometry to one Ti(1), one Cr(3), and one Mn(1) atom. In the seventh O site, O(7) is bonded in a distorted trigonal non-coplanar geometry to one Ti(2), one Cr(1), and one Mn(1) atom. In the eighth O site, O(8) is bonded in a distorted trigonal non-coplanar geometry to one Ti(3), one Cr(1), and one Mn(1) atom. In the ninth O site, O(9) is bonded in a distorted trigonal planar geometry to one Ti(2), one Ti(3), and one Mn(2) atom. In the tenth O site, O(10) is bonded in a distorted trigonal planar geometry to one Cr(2), one Cr(3), and one Mn(1) atom. In the eleventh O site, O(11) is bonded in a trigonal non-coplanar geometry to one Ti(1), one Cr(2), and one Mn(2) atom. In the twelfth O site, O(12) is bonded in a 3-coordinate geometry to one Ti(1), one Cr(3), and one Mn(2) atom. In the thirteenth O site, O(13) is bonded in a distorted T-shaped geometry to one Ti(1), one Cr(2), and one Cr(3) atom. In the fourteenth O site, O(14) is bonded in a distorted trigonal planar geometry to one Ti(2), one Cr(1), and one Mn(2) atom. In the fifteenth O site, O(15) is bonded in a distorted trigonal non-coplanar geometry to one Cr(2), one Cr(3), and one Mn(2) atom. In the sixteenth O site, O(16) is bonded in a distorted trigonal planar geometry to one Ti(3), one Cr(1), and one Mn(2) atom. is represented by the CIF card [CIF]
data_Ti3Mn2Cr3O16
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.865
_cell_length_b   5.892
_cell_length_c   8.946
_cell_angle_alpha   90.301
_cell_angle_beta   90.619
_cell_angle_gamma   119.776
_symmetry_Int_Tables_number   1
_cell_volume   268.279
_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
  Ti  Ti0  1  0.676  0.826  0.705  1.0
  Ti  Ti1  1  0.830  0.165  0.211  1.0
  Ti  Ti2  1  0.830  0.665  0.212  1.0
  Mn  Mn3  1  0.664  0.334  0.483  1.0
  Mn  Mn4  1  0.334  0.664  0.982  1.0
  Cr  Cr5  1  0.332  0.165  0.200  1.0
  Cr  Cr6  1  0.165  0.331  0.700  1.0
  Cr  Cr7  1  0.181  0.835  0.716  1.0
  O  O8  1  0.826  0.174  0.608  1.0
  O  O9  1  0.949  0.474  0.347  1.0
  O  O10  1  0.674  0.337  0.096  1.0
  O  O11  1  0.000  0.001  0.313  1.0
  O  O12  1  0.006  0.998  0.811  1.0
  O  O13  1  0.826  0.658  0.602  1.0
  O  O14  1  0.521  0.052  0.341  1.0
  O  O15  1  0.519  0.470  0.341  1.0
  O  O16  1  0.654  0.826  0.105  1.0
  O  O17  1  0.339  0.179  0.606  1.0
  O  O18  1  0.473  0.525  0.839  1.0
  O  O19  1  0.470  0.952  0.845  1.0
  O  O20  1  0.326  0.673  0.598  1.0
  O  O21  1  0.178  0.343  0.106  1.0
  O  O22  1  0.050  0.521  0.840  1.0
  O  O23  1  0.177  0.832  0.107  1.0
[/CIF]
.
The material described by Ti3Cr3Mn2O16 is Rutile-derived structured and crystallizes in the triclinic P1 space group. There are three inequivalent Ti sites. In the first Ti site, Ti(1) 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 distorted TiO6 octahedra that share corners with two equivalent Mn(1)O6 octahedra,  an edgeedge with one Mn(2)O6 octahedra, edges with two equivalent Cr(2)O6 octahedra, and edges with two equivalent Cr(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 48-49°. In the second Ti site, Ti(2) 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 TiO6 octahedra that share corners with two equivalent Mn(2)O6 octahedra,  an edgeedge with one Mn(1)O6 octahedra, edges with two equivalent Ti(3)O6 octahedra, and edges with two equivalent Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 50-51°. In the third Ti site, Ti(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 TiO6 octahedra that share corners with two equivalent Mn(2)O6 octahedra,  an edgeedge with one Mn(1)O6 octahedra, edges with two equivalent Ti(2)O6 octahedra, and edges with two equivalent Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 50-51°. There are three inequivalent Cr sites. In the first Cr site, Cr(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 CrO6 octahedra that share corners with two equivalent Mn(2)O6 octahedra,  an edgeedge with one Mn(1)O6 octahedra, edges with two equivalent Ti(2)O6 octahedra, and edges with two equivalent Ti(3)O6 octahedra. The corner-sharing octahedral tilt angles are 49°. In the second Cr site, Cr(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 CrO6 octahedra that share corners with two equivalent Mn(1)O6 octahedra,  an edgeedge with one Mn(2)O6 octahedra, edges with two equivalent Ti(1)O6 octahedra, and edges with two equivalent Cr(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 49-50°. In the third Cr site, Cr(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 CrO6 octahedra that share corners with two equivalent Mn(1)O6 octahedra,  an edgeedge with one Mn(2)O6 octahedra, edges with two equivalent Ti(1)O6 octahedra, and edges with two equivalent Cr(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 51-54°. 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 Ti(1)O6 octahedra, corners with two equivalent Cr(2)O6 octahedra, corners with two equivalent Cr(3)O6 octahedra,  an edgeedge with one Ti(2)O6 octahedra,  an edgeedge with one Ti(3)O6 octahedra, and  an edgeedge with one Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 48-54°. 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 Ti(2)O6 octahedra, corners with two equivalent Ti(3)O6 octahedra, corners with two equivalent Cr(1)O6 octahedra,  an edgeedge with one Ti(1)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra, and  an edgeedge with one Cr(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 49-51°. There are sixteen inequivalent O sites. In the first O site, O(1) is bonded in a distorted trigonal planar geometry to one Ti(1), one Cr(2), and one Mn(1) atom. In the second O site, O(2) is bonded in a distorted trigonal non-coplanar geometry to one Ti(2), one Ti(3), and one Mn(1) atom. In the third O site, O(3) is bonded in a distorted T-shaped geometry to one Ti(2), one Ti(3), and one Cr(1) atom. In the fourth O site, O(4) is bonded in a distorted trigonal non-coplanar geometry to one Ti(2), one Ti(3), and one Cr(1) atom. In the fifth O site, O(5) is bonded in a distorted trigonal non-coplanar geometry to one Ti(1), one Cr(2), and one Cr(3) atom. In the sixth O site, O(6) is bonded in a distorted trigonal planar geometry to one Ti(1), one Cr(3), and one Mn(1) atom. In the seventh O site, O(7) is bonded in a distorted trigonal non-coplanar geometry to one Ti(2), one Cr(1), and one Mn(1) atom. In the eighth O site, O(8) is bonded in a distorted trigonal non-coplanar geometry to one Ti(3), one Cr(1), and one Mn(1) atom. In the ninth O site, O(9) is bonded in a distorted trigonal planar geometry to one Ti(2), one Ti(3), and one Mn(2) atom. In the tenth O site, O(10) is bonded in a distorted trigonal planar geometry to one Cr(2), one Cr(3), and one Mn(1) atom. In the eleventh O site, O(11) is bonded in a trigonal non-coplanar geometry to one Ti(1), one Cr(2), and one Mn(2) atom. In the twelfth O site, O(12) is bonded in a 3-coordinate geometry to one Ti(1), one Cr(3), and one Mn(2) atom. In the thirteenth O site, O(13) is bonded in a distorted T-shaped geometry to one Ti(1), one Cr(2), and one Cr(3) atom. In the fourteenth O site, O(14) is bonded in a distorted trigonal planar geometry to one Ti(2), one Cr(1), and one Mn(2) atom. In the fifteenth O site, O(15) is bonded in a distorted trigonal non-coplanar geometry to one Cr(2), one Cr(3), and one Mn(2) atom. In the sixteenth O site, O(16) is bonded in a distorted trigonal planar geometry to one Ti(3), one Cr(1), and one Mn(2) atom. is represented by the CIF card [CIF]
data_Ti3Mn2Cr3O16
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.865
_cell_length_b   5.892
_cell_length_c   8.946
_cell_angle_alpha   90.301
_cell_angle_beta   90.619
_cell_angle_gamma   119.776
_symmetry_Int_Tables_number   1
_cell_volume   268.279
_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
  Ti  Ti0  1  0.676  0.826  0.705  1.0
  Ti  Ti1  1  0.830  0.165  0.211  1.0
  Ti  Ti2  1  0.830  0.665  0.212  1.0
  Mn  Mn3  1  0.664  0.334  0.483  1.0
  Mn  Mn4  1  0.334  0.664  0.982  1.0
  Cr  Cr5  1  0.332  0.165  0.200  1.0
  Cr  Cr6  1  0.165  0.331  0.700  1.0
  Cr  Cr7  1  0.181  0.835  0.716  1.0
  O  O8  1  0.826  0.174  0.608  1.0
  O  O9  1  0.949  0.474  0.347  1.0
  O  O10  1  0.674  0.337  0.096  1.0
  O  O11  1  0.000  0.001  0.313  1.0
  O  O12  1  0.006  0.998  0.811  1.0
  O  O13  1  0.826  0.658  0.602  1.0
  O  O14  1  0.521  0.052  0.341  1.0
  O  O15  1  0.519  0.470  0.341  1.0
  O  O16  1  0.654  0.826  0.105  1.0
  O  O17  1  0.339  0.179  0.606  1.0
  O  O18  1  0.473  0.525  0.839  1.0
  O  O19  1  0.470  0.952  0.845  1.0
  O  O20  1  0.326  0.673  0.598  1.0
  O  O21  1  0.178  0.343  0.106  1.0
  O  O22  1  0.050  0.521  0.840  1.0
  O  O23  1  0.177  0.832  0.107  1.0
[/CIF]
.