The compound described by Li6Ti7Cr5O24 is Spinel-derived structured and crystallizes in the triclinic P-1 space group. There are three inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(1), one O(2), one O(5), and one O(6) atom to form LiO4 tetrahedra that share  a cornercorner with one Ti(3)O6 octahedra,  a cornercorner with one Cr(3)O6 octahedra, corners with two equivalent Cr(1)O6 octahedra, corners with two equivalent Cr(2)O6 octahedra, corners with three equivalent Ti(1)O6 octahedra, and corners with three equivalent Ti(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 58-60°. In the second Li site, Li(2) is bonded to one O(10), one O(3), one O(4), and one O(9) atom to form LiO4 tetrahedra that share  a cornercorner with one Ti(4)O6 octahedra,  a cornercorner with one Cr(1)O6 octahedra,  a cornercorner with one Cr(2)O6 octahedra,  a cornercorner with one Cr(4)O6 octahedra, corners with two equivalent Ti(1)O6 octahedra, corners with two equivalent Ti(2)O6 octahedra, corners with two equivalent Ti(3)O6 octahedra, and corners with two equivalent Cr(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 57-61°. In the third Li site, Li(3) is bonded to one O(11), one O(12), one O(7), and one O(8) atom to form LiO4 tetrahedra that share  a cornercorner with one Ti(1)O6 octahedra,  a cornercorner with one Ti(2)O6 octahedra, corners with two equivalent Ti(4)O6 octahedra, corners with two equivalent Cr(4)O6 octahedra, corners with three equivalent Ti(3)O6 octahedra, and corners with three equivalent Cr(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 58-61°. There are four inequivalent Ti sites. In the first Ti site, Ti(1) is bonded to one O(1), one O(3), one O(4), one O(5), one O(6), and one O(7) atom to form TiO6 octahedra that share  a cornercorner with one Li(3)O4 tetrahedra, corners with two equivalent Li(2)O4 tetrahedra, corners with three equivalent Li(1)O4 tetrahedra,  an edgeedge with one Ti(3)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra,  an edgeedge with one Cr(3)O6 octahedra, and edges with two equivalent Ti(2)O6 octahedra. In the second Ti site, Ti(2) is bonded to one O(2), one O(3), one O(4), one O(5), one O(6), and one O(8) atom to form TiO6 octahedra that share  a cornercorner with one Li(3)O4 tetrahedra, corners with two equivalent Li(2)O4 tetrahedra, corners with three equivalent Li(1)O4 tetrahedra,  an edgeedge with one Ti(3)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra,  an edgeedge with one Cr(3)O6 octahedra, and edges with two equivalent Ti(1)O6 octahedra. In the third Ti site, Ti(3) is bonded to one O(10), one O(11), one O(5), one O(7), one O(8), and one O(9) atom to form TiO6 octahedra that share  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(2)O4 tetrahedra, corners with three equivalent Li(3)O4 tetrahedra,  an edgeedge with one Ti(1)O6 octahedra,  an edgeedge with one Ti(2)O6 octahedra,  an edgeedge with one Ti(4)O6 octahedra,  an edgeedge with one Cr(4)O6 octahedra, and edges with two equivalent Cr(3)O6 octahedra. In the fourth Ti site, Ti(4) is bonded to two equivalent O(11), two equivalent O(12), and two equivalent O(9) atoms to form TiO6 octahedra that share corners with two equivalent Li(2)O4 tetrahedra, corners with four equivalent Li(3)O4 tetrahedra, edges with two equivalent Ti(3)O6 octahedra, edges with two equivalent Cr(3)O6 octahedra, and edges with two equivalent Cr(4)O6 octahedra. There are four inequivalent Cr sites. In the first Cr site, Cr(1) is bonded to two equivalent O(1), two equivalent O(2), and two equivalent O(4) atoms to form CrO6 octahedra that share corners with two equivalent Li(2)O4 tetrahedra, corners with four equivalent Li(1)O4 tetrahedra, edges with two equivalent Ti(1)O6 octahedra, edges with two equivalent Ti(2)O6 octahedra, and edges with two equivalent Cr(2)O6 octahedra. In the second Cr site, Cr(2) is bonded to two equivalent O(1), two equivalent O(2), and two equivalent O(3) atoms to form CrO6 octahedra that share corners with two equivalent Li(2)O4 tetrahedra, corners with four equivalent Li(1)O4 tetrahedra, edges with two equivalent Ti(1)O6 octahedra, edges with two equivalent Ti(2)O6 octahedra, and edges with two equivalent Cr(1)O6 octahedra. In the third Cr site, Cr(3) is bonded to one O(10), one O(12), one O(6), one O(7), one O(8), and one O(9) atom to form CrO6 octahedra that share  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(2)O4 tetrahedra, corners with three equivalent Li(3)O4 tetrahedra,  an edgeedge with one Ti(1)O6 octahedra,  an edgeedge with one Ti(2)O6 octahedra,  an edgeedge with one Ti(4)O6 octahedra,  an edgeedge with one Cr(4)O6 octahedra, and edges with two equivalent Ti(3)O6 octahedra. In the fourth Cr site, Cr(4) is bonded to two equivalent O(10), two equivalent O(11), and two equivalent O(12) atoms to form CrO6 octahedra that share corners with two equivalent Li(2)O4 tetrahedra, corners with four equivalent Li(3)O4 tetrahedra, edges with two equivalent Ti(3)O6 octahedra, edges with two equivalent Ti(4)O6 octahedra, and edges with two equivalent Cr(3)O6 octahedra. There are twelve inequivalent O sites. In the first O site, O(1) is bonded to one Li(1), one Ti(1), one Cr(1), and one Cr(2) atom to form distorted OLiTiCr2 trigonal pyramids that share  a cornercorner with one O(4)LiTi2Cr trigonal pyramid,  a cornercorner with one O(7)LiTi2Cr trigonal pyramid, corners with two equivalent O(6)LiTi2Cr trigonal pyramids, corners with two equivalent O(5)LiTi3 trigonal pyramids, corners with two equivalent O(1)LiTiCr2 trigonal pyramids, corners with three equivalent O(2)LiTiCr2 trigonal pyramids,  an edgeedge with one O(4)LiTi2Cr trigonal pyramid, and  an edgeedge with one O(2)LiTiCr2 trigonal pyramid. In the second O site, O(2) is bonded to one Li(1), one Ti(2), one Cr(1), and one Cr(2) atom to form distorted OLiTiCr2 trigonal pyramids that share  a cornercorner with one O(4)LiTi2Cr trigonal pyramid,  a cornercorner with one O(8)LiTi2Cr trigonal pyramid, corners with two equivalent O(6)LiTi2Cr trigonal pyramids, corners with two equivalent O(5)LiTi3 trigonal pyramids, corners with two equivalent O(2)LiTiCr2 trigonal pyramids, corners with three equivalent O(1)LiTiCr2 trigonal pyramids,  an edgeedge with one O(4)LiTi2Cr trigonal pyramid, and  an edgeedge with one O(1)LiTiCr2 trigonal pyramid. In the third O site, O(3) is bonded in a rectangular see-saw-like geometry to one Li(2), one Ti(1), one Ti(2), and one Cr(2) atom. In the fourth O site, O(4) is bonded to one Li(2), one Ti(1), one Ti(2), and one Cr(1) atom to form distorted OLiTi2Cr trigonal pyramids that share  a cornercorner with one O(4)LiTi2Cr trigonal pyramid,  a cornercorner with one O(7)LiTi2Cr trigonal pyramid,  a cornercorner with one O(8)LiTi2Cr trigonal pyramid,  a cornercorner with one O(1)LiTiCr2 trigonal pyramid,  a cornercorner with one O(10)LiTiCr2 trigonal pyramid,  a cornercorner with one O(2)LiTiCr2 trigonal pyramid, corners with two equivalent O(6)LiTi2Cr trigonal pyramids, corners with two equivalent O(5)LiTi3 trigonal pyramids,  an edgeedge with one O(1)LiTiCr2 trigonal pyramid, and  an edgeedge with one O(2)LiTiCr2 trigonal pyramid. In the fifth O site, O(5) is bonded to one Li(1), one Ti(1), one Ti(2), and one Ti(3) atom to form distorted OLiTi3 trigonal pyramids that share  a cornercorner with one O(6)LiTi2Cr trigonal pyramid,  a cornercorner with one O(10)LiTiCr2 trigonal pyramid, corners with two equivalent O(4)LiTi2Cr trigonal pyramids, corners with two equivalent O(1)LiTiCr2 trigonal pyramids, corners with two equivalent O(2)LiTiCr2 trigonal pyramids,  an edgeedge with one O(6)LiTi2Cr trigonal pyramid,  an edgeedge with one O(7)LiTi2Cr trigonal pyramid, and  an edgeedge with one O(8)LiTi2Cr trigonal pyramid. In the sixth O site, O(6) is bonded to one Li(1), one Ti(1), one Ti(2), and one Cr(3) atom to form distorted OLiTi2Cr trigonal pyramids that share  a cornercorner with one O(5)LiTi3 trigonal pyramid,  a cornercorner with one O(10)LiTiCr2 trigonal pyramid,  a cornercorner with one O(12)LiTiCr2 trigonal pyramid, corners with two equivalent O(4)LiTi2Cr trigonal pyramids, corners with two equivalent O(1)LiTiCr2 trigonal pyramids, corners with two equivalent O(2)LiTiCr2 trigonal pyramids,  an edgeedge with one O(7)LiTi2Cr trigonal pyramid,  an edgeedge with one O(8)LiTi2Cr trigonal pyramid, and  an edgeedge with one O(5)LiTi3 trigonal pyramid. In the seventh O site, O(7) is bonded to one Li(3), one Ti(1), one Ti(3), and one Cr(3) atom to form distorted OLiTi2Cr trigonal pyramids that share  a cornercorner with one O(4)LiTi2Cr trigonal pyramid,  a cornercorner with one O(8)LiTi2Cr trigonal pyramid,  a cornercorner with one O(1)LiTiCr2 trigonal pyramid, corners with two equivalent O(10)LiTiCr2 trigonal pyramids, corners with two equivalent O(12)LiTiCr2 trigonal pyramids,  an edgeedge with one O(6)LiTi2Cr trigonal pyramid,  an edgeedge with one O(8)LiTi2Cr trigonal pyramid, and  an edgeedge with one O(5)LiTi3 trigonal pyramid. In the eighth O site, O(8) is bonded to one Li(3), one Ti(2), one Ti(3), and one Cr(3) atom to form distorted OLiTi2Cr trigonal pyramids that share  a cornercorner with one O(4)LiTi2Cr trigonal pyramid,  a cornercorner with one O(7)LiTi2Cr trigonal pyramid,  a cornercorner with one O(2)LiTiCr2 trigonal pyramid, corners with two equivalent O(10)LiTiCr2 trigonal pyramids, corners with two equivalent O(12)LiTiCr2 trigonal pyramids,  an edgeedge with one O(6)LiTi2Cr trigonal pyramid,  an edgeedge with one O(7)LiTi2Cr trigonal pyramid, and  an edgeedge with one O(5)LiTi3 trigonal pyramid. In the ninth O site, O(9) is bonded in a rectangular see-saw-like geometry to one Li(2), one Ti(3), one Ti(4), and one Cr(3) atom. In the tenth O site, O(10) is bonded to one Li(2), one Ti(3), one Cr(3), and one Cr(4) atom to form distorted OLiTiCr2 trigonal pyramids that share  a cornercorner with one O(4)LiTi2Cr trigonal pyramid,  a cornercorner with one O(6)LiTi2Cr trigonal pyramid,  a cornercorner with one O(5)LiTi3 trigonal pyramid,  a cornercorner with one O(10)LiTiCr2 trigonal pyramid,  a cornercorner with one O(12)LiTiCr2 trigonal pyramid, corners with two equivalent O(7)LiTi2Cr trigonal pyramids, corners with two equivalent O(8)LiTi2Cr trigonal pyramids, and  an edgeedge with one O(12)LiTiCr2 trigonal pyramid. In the eleventh O site, O(11) is bonded in a rectangular see-saw-like geometry to one Li(3), one Ti(3), one Ti(4), and one Cr(4) atom. In the twelfth O site, O(12) is bonded to one Li(3), one Ti(4), one Cr(3), and one Cr(4) atom to form distorted OLiTiCr2 trigonal pyramids that share  a cornercorner with one O(6)LiTi2Cr trigonal pyramid,  a cornercorner with one O(10)LiTiCr2 trigonal pyramid, corners with two equivalent O(7)LiTi2Cr trigonal pyramids, corners with two equivalent O(8)LiTi2Cr trigonal pyramids, corners with two equivalent O(12)LiTiCr2 trigonal pyramids, and  an edgeedge with one O(10)LiTiCr2 trigonal pyramid. is represented by the CIF file [CIF]
data_Li6Ti7Cr5O24
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.949
_cell_length_b   5.977
_cell_length_c   13.305
_cell_angle_alpha   102.818
_cell_angle_beta   102.836
_cell_angle_gamma   89.834
_symmetry_Int_Tables_number   1
_cell_volume   449.204
_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
  Li  Li0  1  0.041  0.290  0.582  1.0
  Li  Li1  1  0.959  0.710  0.418  1.0
  Li  Li2  1  0.376  0.624  0.249  1.0
  Li  Li3  1  0.292  0.044  0.083  1.0
  Li  Li4  1  0.708  0.956  0.917  1.0
  Li  Li5  1  0.624  0.376  0.751  1.0
  Ti  Ti6  1  0.667  0.166  0.336  1.0
  Ti  Ti7  1  0.168  0.167  0.335  1.0
  Ti  Ti8  1  0.827  0.333  0.166  1.0
  Ti  Ti9  1  0.000  0.500  0.000  1.0
  Ti  Ti10  1  0.173  0.667  0.834  1.0
  Ti  Ti11  1  0.333  0.834  0.664  1.0
  Ti  Ti12  1  0.832  0.833  0.665  1.0
  Cr  Cr13  1  0.500  0.500  0.500  1.0
  Cr  Cr14  1  0.500  0.000  0.500  1.0
  Cr  Cr15  1  0.835  0.833  0.167  1.0
  Cr  Cr16  1  0.500  0.500  0.000  1.0
  Cr  Cr17  1  0.165  0.167  0.833  1.0
  O  O18  1  0.277  0.756  0.511  1.0
  O  O19  1  0.734  0.755  0.511  1.0
  O  O20  1  0.266  0.245  0.489  1.0
  O  O21  1  0.723  0.244  0.489  1.0
  O  O22  1  0.420  0.946  0.339  1.0
  O  O23  1  0.420  0.392  0.340  1.0
  O  O24  1  0.912  0.388  0.325  1.0
  O  O25  1  0.914  0.942  0.327  1.0
  O  O26  1  0.613  0.093  0.176  1.0
  O  O27  1  0.064  0.094  0.177  1.0
  O  O28  1  0.056  0.573  0.157  1.0
  O  O29  1  0.608  0.576  0.160  1.0
  O  O30  1  0.759  0.277  0.009  1.0
  O  O31  1  0.759  0.726  0.008  1.0
  O  O32  1  0.241  0.723  0.991  1.0
  O  O33  1  0.241  0.274  0.992  1.0
  O  O34  1  0.944  0.427  0.843  1.0
  O  O35  1  0.392  0.424  0.840  1.0
  O  O36  1  0.936  0.906  0.823  1.0
  O  O37  1  0.387  0.907  0.824  1.0
  O  O38  1  0.086  0.058  0.673  1.0
  O  O39  1  0.088  0.612  0.675  1.0
  O  O40  1  0.580  0.054  0.661  1.0
  O  O41  1  0.580  0.608  0.660  1.0
[/CIF]
.
The compound described by Li6Ti7Cr5O24 is Spinel-derived structured and crystallizes in the triclinic P-1 space group. There are three inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(1), one O(2), one O(5), and one O(6) atom to form LiO4 tetrahedra that share  a cornercorner with one Ti(3)O6 octahedra,  a cornercorner with one Cr(3)O6 octahedra, corners with two equivalent Cr(1)O6 octahedra, corners with two equivalent Cr(2)O6 octahedra, corners with three equivalent Ti(1)O6 octahedra, and corners with three equivalent Ti(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 58-60°. In the second Li site, Li(2) is bonded to one O(10), one O(3), one O(4), and one O(9) atom to form LiO4 tetrahedra that share  a cornercorner with one Ti(4)O6 octahedra,  a cornercorner with one Cr(1)O6 octahedra,  a cornercorner with one Cr(2)O6 octahedra,  a cornercorner with one Cr(4)O6 octahedra, corners with two equivalent Ti(1)O6 octahedra, corners with two equivalent Ti(2)O6 octahedra, corners with two equivalent Ti(3)O6 octahedra, and corners with two equivalent Cr(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 57-61°. In the third Li site, Li(3) is bonded to one O(11), one O(12), one O(7), and one O(8) atom to form LiO4 tetrahedra that share  a cornercorner with one Ti(1)O6 octahedra,  a cornercorner with one Ti(2)O6 octahedra, corners with two equivalent Ti(4)O6 octahedra, corners with two equivalent Cr(4)O6 octahedra, corners with three equivalent Ti(3)O6 octahedra, and corners with three equivalent Cr(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 58-61°. There are four inequivalent Ti sites. In the first Ti site, Ti(1) is bonded to one O(1), one O(3), one O(4), one O(5), one O(6), and one O(7) atom to form TiO6 octahedra that share  a cornercorner with one Li(3)O4 tetrahedra, corners with two equivalent Li(2)O4 tetrahedra, corners with three equivalent Li(1)O4 tetrahedra,  an edgeedge with one Ti(3)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra,  an edgeedge with one Cr(3)O6 octahedra, and edges with two equivalent Ti(2)O6 octahedra. In the second Ti site, Ti(2) is bonded to one O(2), one O(3), one O(4), one O(5), one O(6), and one O(8) atom to form TiO6 octahedra that share  a cornercorner with one Li(3)O4 tetrahedra, corners with two equivalent Li(2)O4 tetrahedra, corners with three equivalent Li(1)O4 tetrahedra,  an edgeedge with one Ti(3)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra,  an edgeedge with one Cr(3)O6 octahedra, and edges with two equivalent Ti(1)O6 octahedra. In the third Ti site, Ti(3) is bonded to one O(10), one O(11), one O(5), one O(7), one O(8), and one O(9) atom to form TiO6 octahedra that share  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(2)O4 tetrahedra, corners with three equivalent Li(3)O4 tetrahedra,  an edgeedge with one Ti(1)O6 octahedra,  an edgeedge with one Ti(2)O6 octahedra,  an edgeedge with one Ti(4)O6 octahedra,  an edgeedge with one Cr(4)O6 octahedra, and edges with two equivalent Cr(3)O6 octahedra. In the fourth Ti site, Ti(4) is bonded to two equivalent O(11), two equivalent O(12), and two equivalent O(9) atoms to form TiO6 octahedra that share corners with two equivalent Li(2)O4 tetrahedra, corners with four equivalent Li(3)O4 tetrahedra, edges with two equivalent Ti(3)O6 octahedra, edges with two equivalent Cr(3)O6 octahedra, and edges with two equivalent Cr(4)O6 octahedra. There are four inequivalent Cr sites. In the first Cr site, Cr(1) is bonded to two equivalent O(1), two equivalent O(2), and two equivalent O(4) atoms to form CrO6 octahedra that share corners with two equivalent Li(2)O4 tetrahedra, corners with four equivalent Li(1)O4 tetrahedra, edges with two equivalent Ti(1)O6 octahedra, edges with two equivalent Ti(2)O6 octahedra, and edges with two equivalent Cr(2)O6 octahedra. In the second Cr site, Cr(2) is bonded to two equivalent O(1), two equivalent O(2), and two equivalent O(3) atoms to form CrO6 octahedra that share corners with two equivalent Li(2)O4 tetrahedra, corners with four equivalent Li(1)O4 tetrahedra, edges with two equivalent Ti(1)O6 octahedra, edges with two equivalent Ti(2)O6 octahedra, and edges with two equivalent Cr(1)O6 octahedra. In the third Cr site, Cr(3) is bonded to one O(10), one O(12), one O(6), one O(7), one O(8), and one O(9) atom to form CrO6 octahedra that share  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(2)O4 tetrahedra, corners with three equivalent Li(3)O4 tetrahedra,  an edgeedge with one Ti(1)O6 octahedra,  an edgeedge with one Ti(2)O6 octahedra,  an edgeedge with one Ti(4)O6 octahedra,  an edgeedge with one Cr(4)O6 octahedra, and edges with two equivalent Ti(3)O6 octahedra. In the fourth Cr site, Cr(4) is bonded to two equivalent O(10), two equivalent O(11), and two equivalent O(12) atoms to form CrO6 octahedra that share corners with two equivalent Li(2)O4 tetrahedra, corners with four equivalent Li(3)O4 tetrahedra, edges with two equivalent Ti(3)O6 octahedra, edges with two equivalent Ti(4)O6 octahedra, and edges with two equivalent Cr(3)O6 octahedra. There are twelve inequivalent O sites. In the first O site, O(1) is bonded to one Li(1), one Ti(1), one Cr(1), and one Cr(2) atom to form distorted OLiTiCr2 trigonal pyramids that share  a cornercorner with one O(4)LiTi2Cr trigonal pyramid,  a cornercorner with one O(7)LiTi2Cr trigonal pyramid, corners with two equivalent O(6)LiTi2Cr trigonal pyramids, corners with two equivalent O(5)LiTi3 trigonal pyramids, corners with two equivalent O(1)LiTiCr2 trigonal pyramids, corners with three equivalent O(2)LiTiCr2 trigonal pyramids,  an edgeedge with one O(4)LiTi2Cr trigonal pyramid, and  an edgeedge with one O(2)LiTiCr2 trigonal pyramid. In the second O site, O(2) is bonded to one Li(1), one Ti(2), one Cr(1), and one Cr(2) atom to form distorted OLiTiCr2 trigonal pyramids that share  a cornercorner with one O(4)LiTi2Cr trigonal pyramid,  a cornercorner with one O(8)LiTi2Cr trigonal pyramid, corners with two equivalent O(6)LiTi2Cr trigonal pyramids, corners with two equivalent O(5)LiTi3 trigonal pyramids, corners with two equivalent O(2)LiTiCr2 trigonal pyramids, corners with three equivalent O(1)LiTiCr2 trigonal pyramids,  an edgeedge with one O(4)LiTi2Cr trigonal pyramid, and  an edgeedge with one O(1)LiTiCr2 trigonal pyramid. In the third O site, O(3) is bonded in a rectangular see-saw-like geometry to one Li(2), one Ti(1), one Ti(2), and one Cr(2) atom. In the fourth O site, O(4) is bonded to one Li(2), one Ti(1), one Ti(2), and one Cr(1) atom to form distorted OLiTi2Cr trigonal pyramids that share  a cornercorner with one O(4)LiTi2Cr trigonal pyramid,  a cornercorner with one O(7)LiTi2Cr trigonal pyramid,  a cornercorner with one O(8)LiTi2Cr trigonal pyramid,  a cornercorner with one O(1)LiTiCr2 trigonal pyramid,  a cornercorner with one O(10)LiTiCr2 trigonal pyramid,  a cornercorner with one O(2)LiTiCr2 trigonal pyramid, corners with two equivalent O(6)LiTi2Cr trigonal pyramids, corners with two equivalent O(5)LiTi3 trigonal pyramids,  an edgeedge with one O(1)LiTiCr2 trigonal pyramid, and  an edgeedge with one O(2)LiTiCr2 trigonal pyramid. In the fifth O site, O(5) is bonded to one Li(1), one Ti(1), one Ti(2), and one Ti(3) atom to form distorted OLiTi3 trigonal pyramids that share  a cornercorner with one O(6)LiTi2Cr trigonal pyramid,  a cornercorner with one O(10)LiTiCr2 trigonal pyramid, corners with two equivalent O(4)LiTi2Cr trigonal pyramids, corners with two equivalent O(1)LiTiCr2 trigonal pyramids, corners with two equivalent O(2)LiTiCr2 trigonal pyramids,  an edgeedge with one O(6)LiTi2Cr trigonal pyramid,  an edgeedge with one O(7)LiTi2Cr trigonal pyramid, and  an edgeedge with one O(8)LiTi2Cr trigonal pyramid. In the sixth O site, O(6) is bonded to one Li(1), one Ti(1), one Ti(2), and one Cr(3) atom to form distorted OLiTi2Cr trigonal pyramids that share  a cornercorner with one O(5)LiTi3 trigonal pyramid,  a cornercorner with one O(10)LiTiCr2 trigonal pyramid,  a cornercorner with one O(12)LiTiCr2 trigonal pyramid, corners with two equivalent O(4)LiTi2Cr trigonal pyramids, corners with two equivalent O(1)LiTiCr2 trigonal pyramids, corners with two equivalent O(2)LiTiCr2 trigonal pyramids,  an edgeedge with one O(7)LiTi2Cr trigonal pyramid,  an edgeedge with one O(8)LiTi2Cr trigonal pyramid, and  an edgeedge with one O(5)LiTi3 trigonal pyramid. In the seventh O site, O(7) is bonded to one Li(3), one Ti(1), one Ti(3), and one Cr(3) atom to form distorted OLiTi2Cr trigonal pyramids that share  a cornercorner with one O(4)LiTi2Cr trigonal pyramid,  a cornercorner with one O(8)LiTi2Cr trigonal pyramid,  a cornercorner with one O(1)LiTiCr2 trigonal pyramid, corners with two equivalent O(10)LiTiCr2 trigonal pyramids, corners with two equivalent O(12)LiTiCr2 trigonal pyramids,  an edgeedge with one O(6)LiTi2Cr trigonal pyramid,  an edgeedge with one O(8)LiTi2Cr trigonal pyramid, and  an edgeedge with one O(5)LiTi3 trigonal pyramid. In the eighth O site, O(8) is bonded to one Li(3), one Ti(2), one Ti(3), and one Cr(3) atom to form distorted OLiTi2Cr trigonal pyramids that share  a cornercorner with one O(4)LiTi2Cr trigonal pyramid,  a cornercorner with one O(7)LiTi2Cr trigonal pyramid,  a cornercorner with one O(2)LiTiCr2 trigonal pyramid, corners with two equivalent O(10)LiTiCr2 trigonal pyramids, corners with two equivalent O(12)LiTiCr2 trigonal pyramids,  an edgeedge with one O(6)LiTi2Cr trigonal pyramid,  an edgeedge with one O(7)LiTi2Cr trigonal pyramid, and  an edgeedge with one O(5)LiTi3 trigonal pyramid. In the ninth O site, O(9) is bonded in a rectangular see-saw-like geometry to one Li(2), one Ti(3), one Ti(4), and one Cr(3) atom. In the tenth O site, O(10) is bonded to one Li(2), one Ti(3), one Cr(3), and one Cr(4) atom to form distorted OLiTiCr2 trigonal pyramids that share  a cornercorner with one O(4)LiTi2Cr trigonal pyramid,  a cornercorner with one O(6)LiTi2Cr trigonal pyramid,  a cornercorner with one O(5)LiTi3 trigonal pyramid,  a cornercorner with one O(10)LiTiCr2 trigonal pyramid,  a cornercorner with one O(12)LiTiCr2 trigonal pyramid, corners with two equivalent O(7)LiTi2Cr trigonal pyramids, corners with two equivalent O(8)LiTi2Cr trigonal pyramids, and  an edgeedge with one O(12)LiTiCr2 trigonal pyramid. In the eleventh O site, O(11) is bonded in a rectangular see-saw-like geometry to one Li(3), one Ti(3), one Ti(4), and one Cr(4) atom. In the twelfth O site, O(12) is bonded to one Li(3), one Ti(4), one Cr(3), and one Cr(4) atom to form distorted OLiTiCr2 trigonal pyramids that share  a cornercorner with one O(6)LiTi2Cr trigonal pyramid,  a cornercorner with one O(10)LiTiCr2 trigonal pyramid, corners with two equivalent O(7)LiTi2Cr trigonal pyramids, corners with two equivalent O(8)LiTi2Cr trigonal pyramids, corners with two equivalent O(12)LiTiCr2 trigonal pyramids, and  an edgeedge with one O(10)LiTiCr2 trigonal pyramid. is represented by the CIF file [CIF]
data_Li6Ti7Cr5O24
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.949
_cell_length_b   5.977
_cell_length_c   13.305
_cell_angle_alpha   102.818
_cell_angle_beta   102.836
_cell_angle_gamma   89.834
_symmetry_Int_Tables_number   1
_cell_volume   449.204
_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
  Li  Li0  1  0.041  0.290  0.582  1.0
  Li  Li1  1  0.959  0.710  0.418  1.0
  Li  Li2  1  0.376  0.624  0.249  1.0
  Li  Li3  1  0.292  0.044  0.083  1.0
  Li  Li4  1  0.708  0.956  0.917  1.0
  Li  Li5  1  0.624  0.376  0.751  1.0
  Ti  Ti6  1  0.667  0.166  0.336  1.0
  Ti  Ti7  1  0.168  0.167  0.335  1.0
  Ti  Ti8  1  0.827  0.333  0.166  1.0
  Ti  Ti9  1  0.000  0.500  0.000  1.0
  Ti  Ti10  1  0.173  0.667  0.834  1.0
  Ti  Ti11  1  0.333  0.834  0.664  1.0
  Ti  Ti12  1  0.832  0.833  0.665  1.0
  Cr  Cr13  1  0.500  0.500  0.500  1.0
  Cr  Cr14  1  0.500  0.000  0.500  1.0
  Cr  Cr15  1  0.835  0.833  0.167  1.0
  Cr  Cr16  1  0.500  0.500  0.000  1.0
  Cr  Cr17  1  0.165  0.167  0.833  1.0
  O  O18  1  0.277  0.756  0.511  1.0
  O  O19  1  0.734  0.755  0.511  1.0
  O  O20  1  0.266  0.245  0.489  1.0
  O  O21  1  0.723  0.244  0.489  1.0
  O  O22  1  0.420  0.946  0.339  1.0
  O  O23  1  0.420  0.392  0.340  1.0
  O  O24  1  0.912  0.388  0.325  1.0
  O  O25  1  0.914  0.942  0.327  1.0
  O  O26  1  0.613  0.093  0.176  1.0
  O  O27  1  0.064  0.094  0.177  1.0
  O  O28  1  0.056  0.573  0.157  1.0
  O  O29  1  0.608  0.576  0.160  1.0
  O  O30  1  0.759  0.277  0.009  1.0
  O  O31  1  0.759  0.726  0.008  1.0
  O  O32  1  0.241  0.723  0.991  1.0
  O  O33  1  0.241  0.274  0.992  1.0
  O  O34  1  0.944  0.427  0.843  1.0
  O  O35  1  0.392  0.424  0.840  1.0
  O  O36  1  0.936  0.906  0.823  1.0
  O  O37  1  0.387  0.907  0.824  1.0
  O  O38  1  0.086  0.058  0.673  1.0
  O  O39  1  0.088  0.612  0.675  1.0
  O  O40  1  0.580  0.054  0.661  1.0
  O  O41  1  0.580  0.608  0.660  1.0
[/CIF]
.