The structure described by Ti3Nb2Cr3O16 is beta Vanadium nitride-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 TiO6 octahedra that share corners with two equivalent Nb(1)O6 octahedra,  an edgeedge with one Nb(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 51-53°. 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 Nb(2)O6 octahedra,  an edgeedge with one Nb(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 are 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 Nb(2)O6 octahedra,  an edgeedge with one Nb(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 52-53°. There are two inequivalent Nb sites. In the first Nb site, Nb(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 distorted NbO6 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 50-53°. In the second Nb site, Nb(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 distorted NbO6 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 49-53°. 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 Nb(2)O6 octahedra,  an edgeedge with one Nb(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 range from 49-50°. 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 Nb(1)O6 octahedra,  an edgeedge with one Nb(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 are 51°. 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 Nb(1)O6 octahedra,  an edgeedge with one Nb(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 50-51°. 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 Nb(1), and one Cr(2) atom. In the second O site, O(2) is bonded in a 3-coordinate geometry to one Ti(2), one Ti(3), and one Nb(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 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 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 Nb(1), and one Cr(3) atom. In the seventh O site, O(7) is bonded in a distorted trigonal non-coplanar geometry to one Ti(2), one Nb(1), and one Cr(1) atom. In the eighth O site, O(8) is bonded in a distorted trigonal non-coplanar geometry to one Ti(3), one Nb(1), and one Cr(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 Nb(2) atom. In the tenth O site, O(10) is bonded in a distorted trigonal planar geometry to one Nb(1), one Cr(2), and one Cr(3) atom. In the eleventh O site, O(11) is bonded in a distorted trigonal non-coplanar geometry to one Ti(1), one Nb(2), and one Cr(2) atom. In the twelfth O site, O(12) is bonded in a 3-coordinate geometry to one Ti(1), one Nb(2), and one Cr(3) 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 Nb(2), and one Cr(1) atom. In the fifteenth O site, O(15) is bonded in a trigonal non-coplanar geometry to one Nb(2), one Cr(2), and one Cr(3) atom. In the sixteenth O site, O(16) is bonded in a distorted trigonal planar geometry to one Ti(3), one Nb(2), and one Cr(1) atom. is represented by the CIF file [CIF]
data_Ti3Nb2Cr3O16
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.947
_cell_length_b   5.976
_cell_length_c   9.389
_cell_angle_alpha   90.151
_cell_angle_beta   90.636
_cell_angle_gamma   119.741
_symmetry_Int_Tables_number   1
_cell_volume   289.698
_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  0.654  0.820  0.717  1.0
  Ti  Ti1  1  0.824  0.166  0.219  1.0
  Ti  Ti2  1  0.825  0.657  0.221  1.0
  Nb  Nb3  1  0.659  0.327  0.499  1.0
  Nb  Nb4  1  0.320  0.657  0.998  1.0
  Cr  Cr5  1  0.338  0.169  0.208  1.0
  Cr  Cr6  1  0.168  0.338  0.709  1.0
  Cr  Cr7  1  0.175  0.836  0.718  1.0
  O  O8  1  0.825  0.168  0.600  1.0
  O  O9  1  0.961  0.479  0.336  1.0
  O  O10  1  0.679  0.340  0.106  1.0
  O  O11  1  0.998  0.999  0.306  1.0
  O  O12  1  0.006  0.997  0.802  1.0
  O  O13  1  0.829  0.658  0.600  1.0
  O  O14  1  0.530  0.046  0.336  1.0
  O  O15  1  0.529  0.484  0.336  1.0
  O  O16  1  0.657  0.829  0.099  1.0
  O  O17  1  0.338  0.168  0.599  1.0
  O  O18  1  0.488  0.532  0.835  1.0
  O  O19  1  0.479  0.959  0.833  1.0
  O  O20  1  0.332  0.676  0.607  1.0
  O  O21  1  0.167  0.338  0.098  1.0
  O  O22  1  0.050  0.531  0.835  1.0
  O  O23  1  0.169  0.828  0.099  1.0
[/CIF]
.
The structure described by Ti3Nb2Cr3O16 is beta Vanadium nitride-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 TiO6 octahedra that share corners with two equivalent Nb(1)O6 octahedra,  an edgeedge with one Nb(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 51-53°. 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 Nb(2)O6 octahedra,  an edgeedge with one Nb(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 are 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 Nb(2)O6 octahedra,  an edgeedge with one Nb(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 52-53°. There are two inequivalent Nb sites. In the first Nb site, Nb(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 distorted NbO6 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 50-53°. In the second Nb site, Nb(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 distorted NbO6 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 49-53°. 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 Nb(2)O6 octahedra,  an edgeedge with one Nb(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 range from 49-50°. 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 Nb(1)O6 octahedra,  an edgeedge with one Nb(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 are 51°. 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 Nb(1)O6 octahedra,  an edgeedge with one Nb(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 50-51°. 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 Nb(1), and one Cr(2) atom. In the second O site, O(2) is bonded in a 3-coordinate geometry to one Ti(2), one Ti(3), and one Nb(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 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 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 Nb(1), and one Cr(3) atom. In the seventh O site, O(7) is bonded in a distorted trigonal non-coplanar geometry to one Ti(2), one Nb(1), and one Cr(1) atom. In the eighth O site, O(8) is bonded in a distorted trigonal non-coplanar geometry to one Ti(3), one Nb(1), and one Cr(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 Nb(2) atom. In the tenth O site, O(10) is bonded in a distorted trigonal planar geometry to one Nb(1), one Cr(2), and one Cr(3) atom. In the eleventh O site, O(11) is bonded in a distorted trigonal non-coplanar geometry to one Ti(1), one Nb(2), and one Cr(2) atom. In the twelfth O site, O(12) is bonded in a 3-coordinate geometry to one Ti(1), one Nb(2), and one Cr(3) 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 Nb(2), and one Cr(1) atom. In the fifteenth O site, O(15) is bonded in a trigonal non-coplanar geometry to one Nb(2), one Cr(2), and one Cr(3) atom. In the sixteenth O site, O(16) is bonded in a distorted trigonal planar geometry to one Ti(3), one Nb(2), and one Cr(1) atom. is represented by the CIF file [CIF]
data_Ti3Nb2Cr3O16
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.947
_cell_length_b   5.976
_cell_length_c   9.389
_cell_angle_alpha   90.151
_cell_angle_beta   90.636
_cell_angle_gamma   119.741
_symmetry_Int_Tables_number   1
_cell_volume   289.698
_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  0.654  0.820  0.717  1.0
  Ti  Ti1  1  0.824  0.166  0.219  1.0
  Ti  Ti2  1  0.825  0.657  0.221  1.0
  Nb  Nb3  1  0.659  0.327  0.499  1.0
  Nb  Nb4  1  0.320  0.657  0.998  1.0
  Cr  Cr5  1  0.338  0.169  0.208  1.0
  Cr  Cr6  1  0.168  0.338  0.709  1.0
  Cr  Cr7  1  0.175  0.836  0.718  1.0
  O  O8  1  0.825  0.168  0.600  1.0
  O  O9  1  0.961  0.479  0.336  1.0
  O  O10  1  0.679  0.340  0.106  1.0
  O  O11  1  0.998  0.999  0.306  1.0
  O  O12  1  0.006  0.997  0.802  1.0
  O  O13  1  0.829  0.658  0.600  1.0
  O  O14  1  0.530  0.046  0.336  1.0
  O  O15  1  0.529  0.484  0.336  1.0
  O  O16  1  0.657  0.829  0.099  1.0
  O  O17  1  0.338  0.168  0.599  1.0
  O  O18  1  0.488  0.532  0.835  1.0
  O  O19  1  0.479  0.959  0.833  1.0
  O  O20  1  0.332  0.676  0.607  1.0
  O  O21  1  0.167  0.338  0.098  1.0
  O  O22  1  0.050  0.531  0.835  1.0
  O  O23  1  0.169  0.828  0.099  1.0
[/CIF]
.