The crystal structure described by TiCr7O12 is Ilmenite-like structured and crystallizes in the triclinic P1 space group. Ti(1) is bonded to one O(10), one O(11), one O(12), one O(2), one O(5), and one O(8) atom to form distorted TiO6 octahedra that share  a cornercorner with one Cr(6)O6 octahedra, corners with two equivalent Cr(1)O6 octahedra, corners with two equivalent Cr(3)O6 octahedra, corners with four equivalent Cr(7)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra, edges with two equivalent Cr(5)O6 octahedra, and  a faceface with one Cr(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 47-60°. There are seven inequivalent Cr sites. In the first Cr site, Cr(1) is bonded to one O(1), one O(2), one O(3), one O(4), one O(6), and one O(8) atom to form CrO6 octahedra that share  a cornercorner with one Cr(4)O6 octahedra, corners with two equivalent Ti(1)O6 octahedra, corners with two equivalent Cr(5)O6 octahedra, corners with four equivalent Cr(2)O6 octahedra,  an edgeedge with one Cr(7)O6 octahedra, edges with two equivalent Cr(3)O6 octahedra, and  a faceface with one Cr(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 46-60°. In the second Cr site, Cr(2) is bonded to one O(1), one O(10), one O(2), one O(4), one O(6), and one O(7) atom to form CrO6 octahedra that share  a cornercorner with one Cr(3)O6 octahedra, corners with two equivalent Cr(6)O6 octahedra, corners with two equivalent Cr(7)O6 octahedra, corners with four equivalent Cr(1)O6 octahedra,  an edgeedge with one Ti(1)O6 octahedra, edges with two equivalent Cr(4)O6 octahedra, and  a faceface with one Cr(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 46-61°. In the third Cr site, Cr(3) is bonded to one O(1), one O(2), one O(3), one O(5), one O(6), and one O(7) atom to form CrO6 octahedra that share  a cornercorner with one Cr(2)O6 octahedra, corners with two equivalent Ti(1)O6 octahedra, corners with two equivalent Cr(5)O6 octahedra, corners with four equivalent Cr(4)O6 octahedra,  an edgeedge with one Cr(6)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, and  a faceface with one Cr(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 47-61°. In the fourth Cr site, Cr(4) is bonded to one O(1), one O(3), one O(4), one O(6), one O(7), and one O(9) atom to form a mixture of edge, face, and corner-sharing CrO6 octahedra. The corner-sharing octahedral tilt angles range from 47-61°. In the fifth Cr site, Cr(5) is bonded to one O(11), one O(12), one O(3), one O(5), one O(8), and one O(9) atom to form CrO6 octahedra that share  a cornercorner with one Cr(7)O6 octahedra, corners with two equivalent Cr(1)O6 octahedra, corners with two equivalent Cr(3)O6 octahedra, corners with four equivalent Cr(6)O6 octahedra,  an edgeedge with one Cr(4)O6 octahedra, edges with two equivalent Ti(1)O6 octahedra, and  a faceface with one Cr(7)O6 octahedra. The corner-sharing octahedral tilt angles range from 47-62°. In the sixth Cr site, Cr(6) is bonded to one O(10), one O(11), one O(12), one O(5), one O(7), and one O(9) atom to form CrO6 octahedra that share  a cornercorner with one Ti(1)O6 octahedra, corners with two equivalent Cr(2)O6 octahedra, corners with two equivalent Cr(4)O6 octahedra, corners with four equivalent Cr(5)O6 octahedra,  an edgeedge with one Cr(3)O6 octahedra, edges with two equivalent Cr(7)O6 octahedra, and  a faceface with one Ti(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 46-61°. In the seventh Cr site, Cr(7) is bonded to one O(10), one O(11), one O(12), one O(4), one O(8), and one O(9) atom to form CrO6 octahedra that share  a cornercorner with one Cr(5)O6 octahedra, corners with two equivalent Cr(2)O6 octahedra, corners with two equivalent Cr(4)O6 octahedra, corners with four equivalent Ti(1)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra, edges with two equivalent Cr(6)O6 octahedra, and  a faceface with one Cr(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 47-62°. There are twelve inequivalent O sites. In the first O site, O(1) is bonded to one Cr(1), one Cr(2), one Cr(3), and one Cr(4) atom to form distorted OCr4 trigonal pyramids that share  a cornercorner with one O(7)Cr4 trigonal pyramid,  a cornercorner with one O(9)Cr4 trigonal pyramid,  a cornercorner with one O(10)TiCr3 trigonal pyramid,  a cornercorner with one O(2)TiCr3 trigonal pyramid,  a cornercorner with one O(5)TiCr3 trigonal pyramid,  a cornercorner with one O(8)TiCr3 trigonal pyramid, corners with three equivalent O(3)Cr4 trigonal pyramids, corners with three equivalent O(4)Cr4 trigonal pyramids,  an edgeedge with one O(7)Cr4 trigonal pyramid,  an edgeedge with one O(2)TiCr3 trigonal pyramid, and edges with two equivalent O(6)Cr4 trigonal pyramids. In the second O site, O(2) is bonded to one Ti(1), one Cr(1), one Cr(2), and one Cr(3) atom to form distorted OTiCr3 trigonal pyramids that share  a cornercorner with one O(1)Cr4 trigonal pyramid,  a cornercorner with one O(11)TiCr3 trigonal pyramid,  a cornercorner with one O(12)TiCr3 trigonal pyramid, corners with two equivalent O(4)Cr4 trigonal pyramids, corners with two equivalent O(5)TiCr3 trigonal pyramids, corners with two equivalent O(8)TiCr3 trigonal pyramids, corners with three equivalent O(6)Cr4 trigonal pyramids,  an edgeedge with one O(1)Cr4 trigonal pyramid,  an edgeedge with one O(3)Cr4 trigonal pyramid,  an edgeedge with one O(7)Cr4 trigonal pyramid, and  an edgeedge with one O(10)TiCr3 trigonal pyramid. In the third O site, O(3) is bonded to one Cr(1), one Cr(3), one Cr(4), and one Cr(5) atom to form distorted OCr4 trigonal pyramids that share  a cornercorner with one O(6)Cr4 trigonal pyramid,  a cornercorner with one O(11)TiCr3 trigonal pyramid,  a cornercorner with one O(12)TiCr3 trigonal pyramid, corners with two equivalent O(7)Cr4 trigonal pyramids, corners with two equivalent O(5)TiCr3 trigonal pyramids, corners with two equivalent O(8)TiCr3 trigonal pyramids, corners with three equivalent O(1)Cr4 trigonal pyramids,  an edgeedge with one O(4)Cr4 trigonal pyramid,  an edgeedge with one O(6)Cr4 trigonal pyramid,  an edgeedge with one O(9)Cr4 trigonal pyramid, and  an edgeedge with one O(2)TiCr3 trigonal pyramid. In the fourth O site, O(4) is bonded to one Cr(1), one Cr(2), one Cr(4), and one Cr(7) atom to form distorted OCr4 trigonal pyramids that share  a cornercorner with one O(6)Cr4 trigonal pyramid,  a cornercorner with one O(11)TiCr3 trigonal pyramid,  a cornercorner with one O(12)TiCr3 trigonal pyramid, corners with two equivalent O(9)Cr4 trigonal pyramids, corners with two equivalent O(10)TiCr3 trigonal pyramids, corners with two equivalent O(2)TiCr3 trigonal pyramids, corners with three equivalent O(1)Cr4 trigonal pyramids,  an edgeedge with one O(3)Cr4 trigonal pyramid,  an edgeedge with one O(6)Cr4 trigonal pyramid,  an edgeedge with one O(7)Cr4 trigonal pyramid, and  an edgeedge with one O(8)TiCr3 trigonal pyramid. In the fifth O site, O(5) is bonded to one Ti(1), one Cr(3), one Cr(5), and one Cr(6) atom to form distorted OTiCr3 trigonal pyramids that share  a cornercorner with one O(1)Cr4 trigonal pyramid,  a cornercorner with one O(6)Cr4 trigonal pyramid,  a cornercorner with one O(11)TiCr3 trigonal pyramid, corners with two equivalent O(3)Cr4 trigonal pyramids, corners with two equivalent O(9)Cr4 trigonal pyramids, corners with two equivalent O(2)TiCr3 trigonal pyramids, corners with three equivalent O(12)TiCr3 trigonal pyramids,  an edgeedge with one O(7)Cr4 trigonal pyramid,  an edgeedge with one O(10)TiCr3 trigonal pyramid,  an edgeedge with one O(11)TiCr3 trigonal pyramid, and  an edgeedge with one O(8)TiCr3 trigonal pyramid. In the sixth O site, O(6) is bonded to one Cr(1), one Cr(2), one Cr(3), and one Cr(4) atom to form distorted OCr4 trigonal pyramids that share  a cornercorner with one O(3)Cr4 trigonal pyramid,  a cornercorner with one O(4)Cr4 trigonal pyramid,  a cornercorner with one O(9)Cr4 trigonal pyramid,  a cornercorner with one O(10)TiCr3 trigonal pyramid,  a cornercorner with one O(5)TiCr3 trigonal pyramid,  a cornercorner with one O(8)TiCr3 trigonal pyramid, corners with three equivalent O(7)Cr4 trigonal pyramids, corners with three equivalent O(2)TiCr3 trigonal pyramids,  an edgeedge with one O(3)Cr4 trigonal pyramid,  an edgeedge with one O(4)Cr4 trigonal pyramid, and edges with two equivalent O(1)Cr4 trigonal pyramids. In the seventh O site, O(7) is bonded to one Cr(2), one Cr(3), one Cr(4), and one Cr(6) atom to form distorted OCr4 trigonal pyramids that share  a cornercorner with one O(1)Cr4 trigonal pyramid,  a cornercorner with one O(11)TiCr3 trigonal pyramid,  a cornercorner with one O(12)TiCr3 trigonal pyramid, corners with two equivalent O(3)Cr4 trigonal pyramids, corners with two equivalent O(9)Cr4 trigonal pyramids, corners with two equivalent O(10)TiCr3 trigonal pyramids, corners with three equivalent O(6)Cr4 trigonal pyramids,  an edgeedge with one O(1)Cr4 trigonal pyramid,  an edgeedge with one O(4)Cr4 trigonal pyramid,  an edgeedge with one O(2)TiCr3 trigonal pyramid, and  an edgeedge with one O(5)TiCr3 trigonal pyramid. In the eighth O site, O(8) is bonded to one Ti(1), one Cr(1), one Cr(5), and one Cr(7) atom to form distorted OTiCr3 trigonal pyramids that share  a cornercorner with one O(1)Cr4 trigonal pyramid,  a cornercorner with one O(6)Cr4 trigonal pyramid,  a cornercorner with one O(12)TiCr3 trigonal pyramid, corners with two equivalent O(3)Cr4 trigonal pyramids, corners with two equivalent O(10)TiCr3 trigonal pyramids, corners with two equivalent O(2)TiCr3 trigonal pyramids, corners with three equivalent O(11)TiCr3 trigonal pyramids,  an edgeedge with one O(4)Cr4 trigonal pyramid,  an edgeedge with one O(9)Cr4 trigonal pyramid,  an edgeedge with one O(12)TiCr3 trigonal pyramid, and  an edgeedge with one O(5)TiCr3 trigonal pyramid. In the ninth O site, O(9) is bonded to one Cr(4), one Cr(5), one Cr(6), and one Cr(7) atom to form distorted OCr4 trigonal pyramids that share  a cornercorner with one O(1)Cr4 trigonal pyramid,  a cornercorner with one O(6)Cr4 trigonal pyramid,  a cornercorner with one O(12)TiCr3 trigonal pyramid, corners with two equivalent O(4)Cr4 trigonal pyramids, corners with two equivalent O(7)Cr4 trigonal pyramids, corners with two equivalent O(5)TiCr3 trigonal pyramids, corners with three equivalent O(11)TiCr3 trigonal pyramids,  an edgeedge with one O(3)Cr4 trigonal pyramid,  an edgeedge with one O(10)TiCr3 trigonal pyramid,  an edgeedge with one O(12)TiCr3 trigonal pyramid, and  an edgeedge with one O(8)TiCr3 trigonal pyramid. In the tenth O site, O(10) is bonded to one Ti(1), one Cr(2), one Cr(6), and one Cr(7) atom to form distorted OTiCr3 trigonal pyramids that share  a cornercorner with one O(1)Cr4 trigonal pyramid,  a cornercorner with one O(6)Cr4 trigonal pyramid,  a cornercorner with one O(11)TiCr3 trigonal pyramid, corners with two equivalent O(4)Cr4 trigonal pyramids, corners with two equivalent O(7)Cr4 trigonal pyramids, corners with two equivalent O(8)TiCr3 trigonal pyramids, corners with three equivalent O(12)TiCr3 trigonal pyramids,  an edgeedge with one O(9)Cr4 trigonal pyramid,  an edgeedge with one O(11)TiCr3 trigonal pyramid,  an edgeedge with one O(2)TiCr3 trigonal pyramid, and  an edgeedge with one O(5)TiCr3 trigonal pyramid. In the eleventh O site, O(11) is bonded to one Ti(1), one Cr(5), one Cr(6), and one Cr(7) atom to form distorted OTiCr3 trigonal pyramids that share  a cornercorner with one O(3)Cr4 trigonal pyramid,  a cornercorner with one O(4)Cr4 trigonal pyramid,  a cornercorner with one O(7)Cr4 trigonal pyramid,  a cornercorner with one O(10)TiCr3 trigonal pyramid,  a cornercorner with one O(2)TiCr3 trigonal pyramid,  a cornercorner with one O(5)TiCr3 trigonal pyramid, corners with three equivalent O(9)Cr4 trigonal pyramids, corners with three equivalent O(8)TiCr3 trigonal pyramids,  an edgeedge with one O(10)TiCr3 trigonal pyramid,  an edgeedge with one O(5)TiCr3 trigonal pyramid, and edges with two equivalent O(12)TiCr3 trigonal pyramids. In the twelfth O site, O(12) is bonded to one Ti(1), one Cr(5), one Cr(6), and one Cr(7) atom to form distorted OTiCr3 trigonal pyramids that share  a cornercorner with one O(3)Cr4 trigonal pyramid,  a cornercorner with one O(4)Cr4 trigonal pyramid,  a cornercorner with one O(7)Cr4 trigonal pyramid,  a cornercorner with one O(9)Cr4 trigonal pyramid,  a cornercorner with one O(2)TiCr3 trigonal pyramid,  a cornercorner with one O(8)TiCr3 trigonal pyramid, corners with three equivalent O(10)TiCr3 trigonal pyramids, corners with three equivalent O(5)TiCr3 trigonal pyramids,  an edgeedge with one O(9)Cr4 trigonal pyramid,  an edgeedge with one O(8)TiCr3 trigonal pyramid, and edges with two equivalent O(11)TiCr3 trigonal pyramids. is represented by the CIF file [CIF]
data_TiCr7O12
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.088
_cell_length_b   5.467
_cell_length_c   7.476
_cell_angle_alpha   95.672
_cell_angle_beta   90.048
_cell_angle_gamma   90.003
_symmetry_Int_Tables_number   1
_cell_volume   206.930
_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  0.000  0.705  0.147  1.0
  Cr  Cr1  1  0.501  0.802  0.848  1.0
  Cr  Cr2  1  0.999  0.300  0.849  1.0
  Cr  Cr3  1  1.000  0.699  0.650  1.0
  Cr  Cr4  1  0.500  0.200  0.650  1.0
  Cr  Cr5  1  0.501  0.799  0.351  1.0
  Cr  Cr6  1  0.999  0.301  0.350  1.0
  Cr  Cr7  1  0.500  0.200  0.151  1.0
  O  O8  1  0.699  0.500  0.750  1.0
  O  O9  1  0.149  0.652  0.906  1.0
  O  O10  1  0.349  0.851  0.599  1.0
  O  O11  1  0.349  0.150  0.900  1.0
  O  O12  1  0.850  0.650  0.399  1.0
  O  O13  1  0.802  0.001  0.749  1.0
  O  O14  1  0.151  0.350  0.600  1.0
  O  O15  1  0.657  0.844  0.100  1.0
  O  O16  1  0.650  0.150  0.401  1.0
  O  O17  1  0.853  0.350  0.100  1.0
  O  O18  1  0.297  0.502  0.251  1.0
  O  O19  1  0.193  0.994  0.249  1.0
[/CIF]
.
The crystal structure described by TiCr7O12 is Ilmenite-like structured and crystallizes in the triclinic P1 space group. Ti(1) is bonded to one O(10), one O(11), one O(12), one O(2), one O(5), and one O(8) atom to form distorted TiO6 octahedra that share  a cornercorner with one Cr(6)O6 octahedra, corners with two equivalent Cr(1)O6 octahedra, corners with two equivalent Cr(3)O6 octahedra, corners with four equivalent Cr(7)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra, edges with two equivalent Cr(5)O6 octahedra, and  a faceface with one Cr(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 47-60°. There are seven inequivalent Cr sites. In the first Cr site, Cr(1) is bonded to one O(1), one O(2), one O(3), one O(4), one O(6), and one O(8) atom to form CrO6 octahedra that share  a cornercorner with one Cr(4)O6 octahedra, corners with two equivalent Ti(1)O6 octahedra, corners with two equivalent Cr(5)O6 octahedra, corners with four equivalent Cr(2)O6 octahedra,  an edgeedge with one Cr(7)O6 octahedra, edges with two equivalent Cr(3)O6 octahedra, and  a faceface with one Cr(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 46-60°. In the second Cr site, Cr(2) is bonded to one O(1), one O(10), one O(2), one O(4), one O(6), and one O(7) atom to form CrO6 octahedra that share  a cornercorner with one Cr(3)O6 octahedra, corners with two equivalent Cr(6)O6 octahedra, corners with two equivalent Cr(7)O6 octahedra, corners with four equivalent Cr(1)O6 octahedra,  an edgeedge with one Ti(1)O6 octahedra, edges with two equivalent Cr(4)O6 octahedra, and  a faceface with one Cr(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 46-61°. In the third Cr site, Cr(3) is bonded to one O(1), one O(2), one O(3), one O(5), one O(6), and one O(7) atom to form CrO6 octahedra that share  a cornercorner with one Cr(2)O6 octahedra, corners with two equivalent Ti(1)O6 octahedra, corners with two equivalent Cr(5)O6 octahedra, corners with four equivalent Cr(4)O6 octahedra,  an edgeedge with one Cr(6)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, and  a faceface with one Cr(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 47-61°. In the fourth Cr site, Cr(4) is bonded to one O(1), one O(3), one O(4), one O(6), one O(7), and one O(9) atom to form a mixture of edge, face, and corner-sharing CrO6 octahedra. The corner-sharing octahedral tilt angles range from 47-61°. In the fifth Cr site, Cr(5) is bonded to one O(11), one O(12), one O(3), one O(5), one O(8), and one O(9) atom to form CrO6 octahedra that share  a cornercorner with one Cr(7)O6 octahedra, corners with two equivalent Cr(1)O6 octahedra, corners with two equivalent Cr(3)O6 octahedra, corners with four equivalent Cr(6)O6 octahedra,  an edgeedge with one Cr(4)O6 octahedra, edges with two equivalent Ti(1)O6 octahedra, and  a faceface with one Cr(7)O6 octahedra. The corner-sharing octahedral tilt angles range from 47-62°. In the sixth Cr site, Cr(6) is bonded to one O(10), one O(11), one O(12), one O(5), one O(7), and one O(9) atom to form CrO6 octahedra that share  a cornercorner with one Ti(1)O6 octahedra, corners with two equivalent Cr(2)O6 octahedra, corners with two equivalent Cr(4)O6 octahedra, corners with four equivalent Cr(5)O6 octahedra,  an edgeedge with one Cr(3)O6 octahedra, edges with two equivalent Cr(7)O6 octahedra, and  a faceface with one Ti(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 46-61°. In the seventh Cr site, Cr(7) is bonded to one O(10), one O(11), one O(12), one O(4), one O(8), and one O(9) atom to form CrO6 octahedra that share  a cornercorner with one Cr(5)O6 octahedra, corners with two equivalent Cr(2)O6 octahedra, corners with two equivalent Cr(4)O6 octahedra, corners with four equivalent Ti(1)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra, edges with two equivalent Cr(6)O6 octahedra, and  a faceface with one Cr(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 47-62°. There are twelve inequivalent O sites. In the first O site, O(1) is bonded to one Cr(1), one Cr(2), one Cr(3), and one Cr(4) atom to form distorted OCr4 trigonal pyramids that share  a cornercorner with one O(7)Cr4 trigonal pyramid,  a cornercorner with one O(9)Cr4 trigonal pyramid,  a cornercorner with one O(10)TiCr3 trigonal pyramid,  a cornercorner with one O(2)TiCr3 trigonal pyramid,  a cornercorner with one O(5)TiCr3 trigonal pyramid,  a cornercorner with one O(8)TiCr3 trigonal pyramid, corners with three equivalent O(3)Cr4 trigonal pyramids, corners with three equivalent O(4)Cr4 trigonal pyramids,  an edgeedge with one O(7)Cr4 trigonal pyramid,  an edgeedge with one O(2)TiCr3 trigonal pyramid, and edges with two equivalent O(6)Cr4 trigonal pyramids. In the second O site, O(2) is bonded to one Ti(1), one Cr(1), one Cr(2), and one Cr(3) atom to form distorted OTiCr3 trigonal pyramids that share  a cornercorner with one O(1)Cr4 trigonal pyramid,  a cornercorner with one O(11)TiCr3 trigonal pyramid,  a cornercorner with one O(12)TiCr3 trigonal pyramid, corners with two equivalent O(4)Cr4 trigonal pyramids, corners with two equivalent O(5)TiCr3 trigonal pyramids, corners with two equivalent O(8)TiCr3 trigonal pyramids, corners with three equivalent O(6)Cr4 trigonal pyramids,  an edgeedge with one O(1)Cr4 trigonal pyramid,  an edgeedge with one O(3)Cr4 trigonal pyramid,  an edgeedge with one O(7)Cr4 trigonal pyramid, and  an edgeedge with one O(10)TiCr3 trigonal pyramid. In the third O site, O(3) is bonded to one Cr(1), one Cr(3), one Cr(4), and one Cr(5) atom to form distorted OCr4 trigonal pyramids that share  a cornercorner with one O(6)Cr4 trigonal pyramid,  a cornercorner with one O(11)TiCr3 trigonal pyramid,  a cornercorner with one O(12)TiCr3 trigonal pyramid, corners with two equivalent O(7)Cr4 trigonal pyramids, corners with two equivalent O(5)TiCr3 trigonal pyramids, corners with two equivalent O(8)TiCr3 trigonal pyramids, corners with three equivalent O(1)Cr4 trigonal pyramids,  an edgeedge with one O(4)Cr4 trigonal pyramid,  an edgeedge with one O(6)Cr4 trigonal pyramid,  an edgeedge with one O(9)Cr4 trigonal pyramid, and  an edgeedge with one O(2)TiCr3 trigonal pyramid. In the fourth O site, O(4) is bonded to one Cr(1), one Cr(2), one Cr(4), and one Cr(7) atom to form distorted OCr4 trigonal pyramids that share  a cornercorner with one O(6)Cr4 trigonal pyramid,  a cornercorner with one O(11)TiCr3 trigonal pyramid,  a cornercorner with one O(12)TiCr3 trigonal pyramid, corners with two equivalent O(9)Cr4 trigonal pyramids, corners with two equivalent O(10)TiCr3 trigonal pyramids, corners with two equivalent O(2)TiCr3 trigonal pyramids, corners with three equivalent O(1)Cr4 trigonal pyramids,  an edgeedge with one O(3)Cr4 trigonal pyramid,  an edgeedge with one O(6)Cr4 trigonal pyramid,  an edgeedge with one O(7)Cr4 trigonal pyramid, and  an edgeedge with one O(8)TiCr3 trigonal pyramid. In the fifth O site, O(5) is bonded to one Ti(1), one Cr(3), one Cr(5), and one Cr(6) atom to form distorted OTiCr3 trigonal pyramids that share  a cornercorner with one O(1)Cr4 trigonal pyramid,  a cornercorner with one O(6)Cr4 trigonal pyramid,  a cornercorner with one O(11)TiCr3 trigonal pyramid, corners with two equivalent O(3)Cr4 trigonal pyramids, corners with two equivalent O(9)Cr4 trigonal pyramids, corners with two equivalent O(2)TiCr3 trigonal pyramids, corners with three equivalent O(12)TiCr3 trigonal pyramids,  an edgeedge with one O(7)Cr4 trigonal pyramid,  an edgeedge with one O(10)TiCr3 trigonal pyramid,  an edgeedge with one O(11)TiCr3 trigonal pyramid, and  an edgeedge with one O(8)TiCr3 trigonal pyramid. In the sixth O site, O(6) is bonded to one Cr(1), one Cr(2), one Cr(3), and one Cr(4) atom to form distorted OCr4 trigonal pyramids that share  a cornercorner with one O(3)Cr4 trigonal pyramid,  a cornercorner with one O(4)Cr4 trigonal pyramid,  a cornercorner with one O(9)Cr4 trigonal pyramid,  a cornercorner with one O(10)TiCr3 trigonal pyramid,  a cornercorner with one O(5)TiCr3 trigonal pyramid,  a cornercorner with one O(8)TiCr3 trigonal pyramid, corners with three equivalent O(7)Cr4 trigonal pyramids, corners with three equivalent O(2)TiCr3 trigonal pyramids,  an edgeedge with one O(3)Cr4 trigonal pyramid,  an edgeedge with one O(4)Cr4 trigonal pyramid, and edges with two equivalent O(1)Cr4 trigonal pyramids. In the seventh O site, O(7) is bonded to one Cr(2), one Cr(3), one Cr(4), and one Cr(6) atom to form distorted OCr4 trigonal pyramids that share  a cornercorner with one O(1)Cr4 trigonal pyramid,  a cornercorner with one O(11)TiCr3 trigonal pyramid,  a cornercorner with one O(12)TiCr3 trigonal pyramid, corners with two equivalent O(3)Cr4 trigonal pyramids, corners with two equivalent O(9)Cr4 trigonal pyramids, corners with two equivalent O(10)TiCr3 trigonal pyramids, corners with three equivalent O(6)Cr4 trigonal pyramids,  an edgeedge with one O(1)Cr4 trigonal pyramid,  an edgeedge with one O(4)Cr4 trigonal pyramid,  an edgeedge with one O(2)TiCr3 trigonal pyramid, and  an edgeedge with one O(5)TiCr3 trigonal pyramid. In the eighth O site, O(8) is bonded to one Ti(1), one Cr(1), one Cr(5), and one Cr(7) atom to form distorted OTiCr3 trigonal pyramids that share  a cornercorner with one O(1)Cr4 trigonal pyramid,  a cornercorner with one O(6)Cr4 trigonal pyramid,  a cornercorner with one O(12)TiCr3 trigonal pyramid, corners with two equivalent O(3)Cr4 trigonal pyramids, corners with two equivalent O(10)TiCr3 trigonal pyramids, corners with two equivalent O(2)TiCr3 trigonal pyramids, corners with three equivalent O(11)TiCr3 trigonal pyramids,  an edgeedge with one O(4)Cr4 trigonal pyramid,  an edgeedge with one O(9)Cr4 trigonal pyramid,  an edgeedge with one O(12)TiCr3 trigonal pyramid, and  an edgeedge with one O(5)TiCr3 trigonal pyramid. In the ninth O site, O(9) is bonded to one Cr(4), one Cr(5), one Cr(6), and one Cr(7) atom to form distorted OCr4 trigonal pyramids that share  a cornercorner with one O(1)Cr4 trigonal pyramid,  a cornercorner with one O(6)Cr4 trigonal pyramid,  a cornercorner with one O(12)TiCr3 trigonal pyramid, corners with two equivalent O(4)Cr4 trigonal pyramids, corners with two equivalent O(7)Cr4 trigonal pyramids, corners with two equivalent O(5)TiCr3 trigonal pyramids, corners with three equivalent O(11)TiCr3 trigonal pyramids,  an edgeedge with one O(3)Cr4 trigonal pyramid,  an edgeedge with one O(10)TiCr3 trigonal pyramid,  an edgeedge with one O(12)TiCr3 trigonal pyramid, and  an edgeedge with one O(8)TiCr3 trigonal pyramid. In the tenth O site, O(10) is bonded to one Ti(1), one Cr(2), one Cr(6), and one Cr(7) atom to form distorted OTiCr3 trigonal pyramids that share  a cornercorner with one O(1)Cr4 trigonal pyramid,  a cornercorner with one O(6)Cr4 trigonal pyramid,  a cornercorner with one O(11)TiCr3 trigonal pyramid, corners with two equivalent O(4)Cr4 trigonal pyramids, corners with two equivalent O(7)Cr4 trigonal pyramids, corners with two equivalent O(8)TiCr3 trigonal pyramids, corners with three equivalent O(12)TiCr3 trigonal pyramids,  an edgeedge with one O(9)Cr4 trigonal pyramid,  an edgeedge with one O(11)TiCr3 trigonal pyramid,  an edgeedge with one O(2)TiCr3 trigonal pyramid, and  an edgeedge with one O(5)TiCr3 trigonal pyramid. In the eleventh O site, O(11) is bonded to one Ti(1), one Cr(5), one Cr(6), and one Cr(7) atom to form distorted OTiCr3 trigonal pyramids that share  a cornercorner with one O(3)Cr4 trigonal pyramid,  a cornercorner with one O(4)Cr4 trigonal pyramid,  a cornercorner with one O(7)Cr4 trigonal pyramid,  a cornercorner with one O(10)TiCr3 trigonal pyramid,  a cornercorner with one O(2)TiCr3 trigonal pyramid,  a cornercorner with one O(5)TiCr3 trigonal pyramid, corners with three equivalent O(9)Cr4 trigonal pyramids, corners with three equivalent O(8)TiCr3 trigonal pyramids,  an edgeedge with one O(10)TiCr3 trigonal pyramid,  an edgeedge with one O(5)TiCr3 trigonal pyramid, and edges with two equivalent O(12)TiCr3 trigonal pyramids. In the twelfth O site, O(12) is bonded to one Ti(1), one Cr(5), one Cr(6), and one Cr(7) atom to form distorted OTiCr3 trigonal pyramids that share  a cornercorner with one O(3)Cr4 trigonal pyramid,  a cornercorner with one O(4)Cr4 trigonal pyramid,  a cornercorner with one O(7)Cr4 trigonal pyramid,  a cornercorner with one O(9)Cr4 trigonal pyramid,  a cornercorner with one O(2)TiCr3 trigonal pyramid,  a cornercorner with one O(8)TiCr3 trigonal pyramid, corners with three equivalent O(10)TiCr3 trigonal pyramids, corners with three equivalent O(5)TiCr3 trigonal pyramids,  an edgeedge with one O(9)Cr4 trigonal pyramid,  an edgeedge with one O(8)TiCr3 trigonal pyramid, and edges with two equivalent O(11)TiCr3 trigonal pyramids. is represented by the CIF file [CIF]
data_TiCr7O12
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.088
_cell_length_b   5.467
_cell_length_c   7.476
_cell_angle_alpha   95.672
_cell_angle_beta   90.048
_cell_angle_gamma   90.003
_symmetry_Int_Tables_number   1
_cell_volume   206.930
_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  0.000  0.705  0.147  1.0
  Cr  Cr1  1  0.501  0.802  0.848  1.0
  Cr  Cr2  1  0.999  0.300  0.849  1.0
  Cr  Cr3  1  1.000  0.699  0.650  1.0
  Cr  Cr4  1  0.500  0.200  0.650  1.0
  Cr  Cr5  1  0.501  0.799  0.351  1.0
  Cr  Cr6  1  0.999  0.301  0.350  1.0
  Cr  Cr7  1  0.500  0.200  0.151  1.0
  O  O8  1  0.699  0.500  0.750  1.0
  O  O9  1  0.149  0.652  0.906  1.0
  O  O10  1  0.349  0.851  0.599  1.0
  O  O11  1  0.349  0.150  0.900  1.0
  O  O12  1  0.850  0.650  0.399  1.0
  O  O13  1  0.802  0.001  0.749  1.0
  O  O14  1  0.151  0.350  0.600  1.0
  O  O15  1  0.657  0.844  0.100  1.0
  O  O16  1  0.650  0.150  0.401  1.0
  O  O17  1  0.853  0.350  0.100  1.0
  O  O18  1  0.297  0.502  0.251  1.0
  O  O19  1  0.193  0.994  0.249  1.0
[/CIF]
.