The compound described by Li4Ti3Cr3(CoO8)2 is Spinel-derived structured and crystallizes in the triclinic P1 space group. There are four inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(11), one O(12), one O(15), and one O(3) atom to form LiO4 tetrahedra that share  a cornercorner with one Ti(1)O6 octahedra,  a cornercorner with one Ti(2)O6 octahedra,  a cornercorner with one Cr(1)O6 octahedra, corners with two equivalent Ti(3)O6 octahedra, corners with two equivalent Cr(2)O6 octahedra, corners with two equivalent Cr(3)O6 octahedra, and corners with three equivalent Co(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 56-64°. In the second Li site, Li(2) is bonded in a distorted rectangular see-saw-like geometry to one O(14), one O(16), one O(5), and one O(9) atom. In the third Li site, Li(3) is bonded to one O(1), one O(10), one O(4), and one O(6) atom to form distorted LiO4 trigonal pyramids that share  a cornercorner with one Ti(1)O6 octahedra,  a cornercorner with one Ti(2)O6 octahedra,  a cornercorner with one Cr(1)O6 octahedra, corners with three equivalent Co(1)O6 octahedra,  an edgeedge with one Ti(3)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 61-64°. In the fourth Li site, Li(4) is bonded to one O(13), one O(2), one O(7), and one O(8) atom to form LiO4 tetrahedra that share  a cornercorner with one Ti(3)O6 octahedra,  a cornercorner with one Cr(2)O6 octahedra,  a cornercorner with one Cr(3)O6 octahedra, corners with two equivalent Ti(1)O6 octahedra, corners with two equivalent Ti(2)O6 octahedra, corners with two equivalent Cr(1)O6 octahedra, and corners with three equivalent Co(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 54-63°. There are three inequivalent Ti sites. In the first Ti site, Ti(1) 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 Co(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  a cornercorner with one Li(3)O4 trigonal pyramid,  an edgeedge with one Co(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 51-52°. In the second Ti site, Ti(2) 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 Co(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  a cornercorner with one Li(3)O4 trigonal pyramid,  an edgeedge with one Co(1)O6 octahedra, edges with two equivalent Ti(1)O6 octahedra, and edges with two equivalent Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 51-52°. In the third Ti site, Ti(3) 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 Co(1)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  an edgeedge with one Co(2)O6 octahedra, edges with two equivalent Cr(2)O6 octahedra, edges with two equivalent Cr(3)O6 octahedra, and  an edgeedge with one Li(3)O4 trigonal pyramid. The corner-sharing octahedral tilt angles range from 51-52°. 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 Co(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  a cornercorner with one Li(3)O4 trigonal pyramid,  an edgeedge with one Co(1)O6 octahedra, edges with two equivalent Ti(1)O6 octahedra, and edges with two equivalent Ti(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 51-52°. 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 Co(1)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  an edgeedge with one Co(2)O6 octahedra, edges with two equivalent Ti(3)O6 octahedra, edges with two equivalent Cr(3)O6 octahedra, and  an edgeedge with one Li(3)O4 trigonal pyramid. The corner-sharing octahedral tilt angles range from 52-54°. 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 Co(1)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  an edgeedge with one Co(2)O6 octahedra, edges with two equivalent Ti(3)O6 octahedra, edges with two equivalent Cr(2)O6 octahedra, and  an edgeedge with one Li(3)O4 trigonal pyramid. The corner-sharing octahedral tilt angles range from 50-51°. There are two inequivalent Co sites. In the first Co site, Co(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 CoO6 octahedra that share corners with two equivalent Ti(3)O6 octahedra, corners with two equivalent Cr(2)O6 octahedra, corners with two equivalent Cr(3)O6 octahedra, corners with three equivalent Li(4)O4 tetrahedra, corners with three equivalent Li(3)O4 trigonal pyramids,  an edgeedge with one Ti(1)O6 octahedra,  an edgeedge with one Ti(2)O6 octahedra, and  an edgeedge with one Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 50-54°. In the second Co site, Co(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 CoO6 octahedra that share corners with two equivalent Ti(1)O6 octahedra, corners with two equivalent Ti(2)O6 octahedra, corners with two equivalent Cr(1)O6 octahedra, corners with three equivalent Li(1)O4 tetrahedra,  an edgeedge with one Ti(3)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 51-52°. There are sixteen inequivalent O sites. In the first O site, O(1) is bonded in a rectangular see-saw-like geometry to one Li(3), one Ti(3), one Cr(2), and one Co(1) atom. In the second O site, O(2) is bonded to one Li(4), one Ti(1), one Ti(2), and one Co(1) atom to form distorted OLiTi2Co tetrahedra that share  a cornercorner with one O(7)LiTiCrCo tetrahedra,  a cornercorner with one O(8)LiTiCrCo tetrahedra, corners with two equivalent O(4)LiTi2Cr tetrahedra,  an edgeedge with one O(7)LiTiCrCo tetrahedra, and  an edgeedge with one O(8)LiTiCrCo tetrahedra. In the third O site, O(3) is bonded in a rectangular see-saw-like geometry to one Li(1), one Ti(1), one Ti(2), and one Cr(1) atom. In the fourth O site, O(4) is bonded to one Li(3), one Ti(1), one Ti(2), and one Cr(1) atom to form distorted OLiTi2Cr tetrahedra that share corners with two equivalent O(2)LiTi2Co tetrahedra, corners with two equivalent O(7)LiTiCrCo tetrahedra, and corners with two equivalent O(8)LiTiCrCo tetrahedra. In the fifth O site, O(5) is bonded to one Li(2), one Ti(3), one Cr(2), and one Cr(3) atom to form distorted OLiTiCr2 tetrahedra that share corners with two equivalent O(15)LiCr2Co tetrahedra and corners with two equivalent O(12)LiTiCrCo tetrahedra. In the sixth O site, O(6) is bonded in a distorted rectangular see-saw-like geometry to one Li(3), one Ti(3), one Cr(3), and one Co(1) atom. In the seventh O site, O(7) is bonded to one Li(4), one Ti(1), one Cr(1), and one Co(1) atom to form distorted OLiTiCrCo tetrahedra that share  a cornercorner with one O(2)LiTi2Co tetrahedra,  a cornercorner with one O(8)LiTiCrCo tetrahedra, corners with two equivalent O(4)LiTi2Cr tetrahedra,  an edgeedge with one O(2)LiTi2Co tetrahedra, and  an edgeedge with one O(8)LiTiCrCo tetrahedra. In the eighth O site, O(8) is bonded to one Li(4), one Ti(2), one Cr(1), and one Co(1) atom to form distorted OLiTiCrCo tetrahedra that share  a cornercorner with one O(2)LiTi2Co tetrahedra,  a cornercorner with one O(7)LiTiCrCo tetrahedra, corners with two equivalent O(4)LiTi2Cr tetrahedra,  an edgeedge with one O(2)LiTi2Co tetrahedra, and  an edgeedge with one O(7)LiTiCrCo tetrahedra. In the ninth O site, O(9) is bonded in a rectangular see-saw-like geometry to one Li(2), one Ti(1), one Ti(2), and one Co(2) atom. In the tenth O site, O(10) is bonded in a distorted rectangular see-saw-like geometry to one Li(3), one Cr(2), one Cr(3), and one Co(1) atom. In the eleventh O site, O(11) is bonded in a distorted rectangular see-saw-like geometry to one Li(1), one Ti(3), one Cr(2), and one Co(2) atom. In the twelfth O site, O(12) is bonded to one Li(1), one Ti(3), one Cr(3), and one Co(2) atom to form distorted OLiTiCrCo tetrahedra that share  a cornercorner with one O(15)LiCr2Co tetrahedra, corners with two equivalent O(5)LiTiCr2 tetrahedra, and  an edgeedge with one O(15)LiCr2Co tetrahedra. In the thirteenth O site, O(13) is bonded in a rectangular see-saw-like geometry to one Li(4), one Ti(3), one Cr(2), and one Cr(3) atom. In the fourteenth O site, O(14) is bonded in a rectangular see-saw-like geometry to one Li(2), one Ti(1), one Cr(1), and one Co(2) atom. In the fifteenth O site, O(15) is bonded to one Li(1), one Cr(2), one Cr(3), and one Co(2) atom to form distorted OLiCr2Co tetrahedra that share  a cornercorner with one O(12)LiTiCrCo tetrahedra, corners with two equivalent O(5)LiTiCr2 tetrahedra, and  an edgeedge with one O(12)LiTiCrCo tetrahedra. In the sixteenth O site, O(16) is bonded in a rectangular see-saw-like geometry to one Li(2), one Ti(2), one Cr(1), and one Co(2) atom. is represented by the Crystallographic Information File (CIF) [CIF]
data_Li4Ti3Cr3(CoO8)2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.902
_cell_length_b   5.912
_cell_length_c   9.582
_cell_angle_alpha   90.499
_cell_angle_beta   89.971
_cell_angle_gamma   119.767
_symmetry_Int_Tables_number   1
_cell_volume   290.229
_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  0.333  0.664  0.893  1.0
  Li  Li1  1  0.991  0.995  0.995  1.0
  Li  Li2  1  0.001  1.000  0.497  1.0
  Li  Li3  1  0.665  0.333  0.395  1.0
  Ti  Ti4  1  0.171  0.835  0.213  1.0
  Ti  Ti5  1  0.169  0.340  0.215  1.0
  Ti  Ti6  1  0.349  0.168  0.720  1.0
  Cr  Cr7  1  0.657  0.829  0.214  1.0
  Cr  Cr8  1  0.831  0.659  0.714  1.0
  Cr  Cr9  1  0.840  0.171  0.708  1.0
  Co  Co10  1  0.329  0.675  0.489  1.0
  Co  Co11  1  0.678  0.337  0.988  1.0
  O  O12  1  0.173  0.838  0.598  1.0
  O  O13  1  0.035  0.519  0.335  1.0
  O  O14  1  0.323  0.659  0.103  1.0
  O  O15  1  0.000  0.003  0.311  1.0
  O  O16  1  0.007  0.004  0.809  1.0
  O  O17  1  0.159  0.327  0.605  1.0
  O  O18  1  0.473  0.963  0.337  1.0
  O  O19  1  0.470  0.517  0.343  1.0
  O  O20  1  0.327  0.164  0.104  1.0
  O  O21  1  0.677  0.849  0.606  1.0
  O  O22  1  0.518  0.473  0.843  1.0
  O  O23  1  0.523  0.036  0.835  1.0
  O  O24  1  0.659  0.327  0.603  1.0
  O  O25  1  0.844  0.673  0.101  1.0
  O  O26  1  0.960  0.469  0.833  1.0
  O  O27  1  0.839  0.172  0.100  1.0
[/CIF]
.
The compound described by Li4Ti3Cr3(CoO8)2 is Spinel-derived structured and crystallizes in the triclinic P1 space group. There are four inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(11), one O(12), one O(15), and one O(3) atom to form LiO4 tetrahedra that share  a cornercorner with one Ti(1)O6 octahedra,  a cornercorner with one Ti(2)O6 octahedra,  a cornercorner with one Cr(1)O6 octahedra, corners with two equivalent Ti(3)O6 octahedra, corners with two equivalent Cr(2)O6 octahedra, corners with two equivalent Cr(3)O6 octahedra, and corners with three equivalent Co(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 56-64°. In the second Li site, Li(2) is bonded in a distorted rectangular see-saw-like geometry to one O(14), one O(16), one O(5), and one O(9) atom. In the third Li site, Li(3) is bonded to one O(1), one O(10), one O(4), and one O(6) atom to form distorted LiO4 trigonal pyramids that share  a cornercorner with one Ti(1)O6 octahedra,  a cornercorner with one Ti(2)O6 octahedra,  a cornercorner with one Cr(1)O6 octahedra, corners with three equivalent Co(1)O6 octahedra,  an edgeedge with one Ti(3)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 61-64°. In the fourth Li site, Li(4) is bonded to one O(13), one O(2), one O(7), and one O(8) atom to form LiO4 tetrahedra that share  a cornercorner with one Ti(3)O6 octahedra,  a cornercorner with one Cr(2)O6 octahedra,  a cornercorner with one Cr(3)O6 octahedra, corners with two equivalent Ti(1)O6 octahedra, corners with two equivalent Ti(2)O6 octahedra, corners with two equivalent Cr(1)O6 octahedra, and corners with three equivalent Co(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 54-63°. There are three inequivalent Ti sites. In the first Ti site, Ti(1) 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 Co(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  a cornercorner with one Li(3)O4 trigonal pyramid,  an edgeedge with one Co(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 51-52°. In the second Ti site, Ti(2) 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 Co(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  a cornercorner with one Li(3)O4 trigonal pyramid,  an edgeedge with one Co(1)O6 octahedra, edges with two equivalent Ti(1)O6 octahedra, and edges with two equivalent Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 51-52°. In the third Ti site, Ti(3) 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 Co(1)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  an edgeedge with one Co(2)O6 octahedra, edges with two equivalent Cr(2)O6 octahedra, edges with two equivalent Cr(3)O6 octahedra, and  an edgeedge with one Li(3)O4 trigonal pyramid. The corner-sharing octahedral tilt angles range from 51-52°. 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 Co(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  a cornercorner with one Li(3)O4 trigonal pyramid,  an edgeedge with one Co(1)O6 octahedra, edges with two equivalent Ti(1)O6 octahedra, and edges with two equivalent Ti(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 51-52°. 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 Co(1)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  an edgeedge with one Co(2)O6 octahedra, edges with two equivalent Ti(3)O6 octahedra, edges with two equivalent Cr(3)O6 octahedra, and  an edgeedge with one Li(3)O4 trigonal pyramid. The corner-sharing octahedral tilt angles range from 52-54°. 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 Co(1)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  an edgeedge with one Co(2)O6 octahedra, edges with two equivalent Ti(3)O6 octahedra, edges with two equivalent Cr(2)O6 octahedra, and  an edgeedge with one Li(3)O4 trigonal pyramid. The corner-sharing octahedral tilt angles range from 50-51°. There are two inequivalent Co sites. In the first Co site, Co(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 CoO6 octahedra that share corners with two equivalent Ti(3)O6 octahedra, corners with two equivalent Cr(2)O6 octahedra, corners with two equivalent Cr(3)O6 octahedra, corners with three equivalent Li(4)O4 tetrahedra, corners with three equivalent Li(3)O4 trigonal pyramids,  an edgeedge with one Ti(1)O6 octahedra,  an edgeedge with one Ti(2)O6 octahedra, and  an edgeedge with one Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 50-54°. In the second Co site, Co(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 CoO6 octahedra that share corners with two equivalent Ti(1)O6 octahedra, corners with two equivalent Ti(2)O6 octahedra, corners with two equivalent Cr(1)O6 octahedra, corners with three equivalent Li(1)O4 tetrahedra,  an edgeedge with one Ti(3)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 51-52°. There are sixteen inequivalent O sites. In the first O site, O(1) is bonded in a rectangular see-saw-like geometry to one Li(3), one Ti(3), one Cr(2), and one Co(1) atom. In the second O site, O(2) is bonded to one Li(4), one Ti(1), one Ti(2), and one Co(1) atom to form distorted OLiTi2Co tetrahedra that share  a cornercorner with one O(7)LiTiCrCo tetrahedra,  a cornercorner with one O(8)LiTiCrCo tetrahedra, corners with two equivalent O(4)LiTi2Cr tetrahedra,  an edgeedge with one O(7)LiTiCrCo tetrahedra, and  an edgeedge with one O(8)LiTiCrCo tetrahedra. In the third O site, O(3) is bonded in a rectangular see-saw-like geometry to one Li(1), one Ti(1), one Ti(2), and one Cr(1) atom. In the fourth O site, O(4) is bonded to one Li(3), one Ti(1), one Ti(2), and one Cr(1) atom to form distorted OLiTi2Cr tetrahedra that share corners with two equivalent O(2)LiTi2Co tetrahedra, corners with two equivalent O(7)LiTiCrCo tetrahedra, and corners with two equivalent O(8)LiTiCrCo tetrahedra. In the fifth O site, O(5) is bonded to one Li(2), one Ti(3), one Cr(2), and one Cr(3) atom to form distorted OLiTiCr2 tetrahedra that share corners with two equivalent O(15)LiCr2Co tetrahedra and corners with two equivalent O(12)LiTiCrCo tetrahedra. In the sixth O site, O(6) is bonded in a distorted rectangular see-saw-like geometry to one Li(3), one Ti(3), one Cr(3), and one Co(1) atom. In the seventh O site, O(7) is bonded to one Li(4), one Ti(1), one Cr(1), and one Co(1) atom to form distorted OLiTiCrCo tetrahedra that share  a cornercorner with one O(2)LiTi2Co tetrahedra,  a cornercorner with one O(8)LiTiCrCo tetrahedra, corners with two equivalent O(4)LiTi2Cr tetrahedra,  an edgeedge with one O(2)LiTi2Co tetrahedra, and  an edgeedge with one O(8)LiTiCrCo tetrahedra. In the eighth O site, O(8) is bonded to one Li(4), one Ti(2), one Cr(1), and one Co(1) atom to form distorted OLiTiCrCo tetrahedra that share  a cornercorner with one O(2)LiTi2Co tetrahedra,  a cornercorner with one O(7)LiTiCrCo tetrahedra, corners with two equivalent O(4)LiTi2Cr tetrahedra,  an edgeedge with one O(2)LiTi2Co tetrahedra, and  an edgeedge with one O(7)LiTiCrCo tetrahedra. In the ninth O site, O(9) is bonded in a rectangular see-saw-like geometry to one Li(2), one Ti(1), one Ti(2), and one Co(2) atom. In the tenth O site, O(10) is bonded in a distorted rectangular see-saw-like geometry to one Li(3), one Cr(2), one Cr(3), and one Co(1) atom. In the eleventh O site, O(11) is bonded in a distorted rectangular see-saw-like geometry to one Li(1), one Ti(3), one Cr(2), and one Co(2) atom. In the twelfth O site, O(12) is bonded to one Li(1), one Ti(3), one Cr(3), and one Co(2) atom to form distorted OLiTiCrCo tetrahedra that share  a cornercorner with one O(15)LiCr2Co tetrahedra, corners with two equivalent O(5)LiTiCr2 tetrahedra, and  an edgeedge with one O(15)LiCr2Co tetrahedra. In the thirteenth O site, O(13) is bonded in a rectangular see-saw-like geometry to one Li(4), one Ti(3), one Cr(2), and one Cr(3) atom. In the fourteenth O site, O(14) is bonded in a rectangular see-saw-like geometry to one Li(2), one Ti(1), one Cr(1), and one Co(2) atom. In the fifteenth O site, O(15) is bonded to one Li(1), one Cr(2), one Cr(3), and one Co(2) atom to form distorted OLiCr2Co tetrahedra that share  a cornercorner with one O(12)LiTiCrCo tetrahedra, corners with two equivalent O(5)LiTiCr2 tetrahedra, and  an edgeedge with one O(12)LiTiCrCo tetrahedra. In the sixteenth O site, O(16) is bonded in a rectangular see-saw-like geometry to one Li(2), one Ti(2), one Cr(1), and one Co(2) atom. is represented by the Crystallographic Information File (CIF) [CIF]
data_Li4Ti3Cr3(CoO8)2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.902
_cell_length_b   5.912
_cell_length_c   9.582
_cell_angle_alpha   90.499
_cell_angle_beta   89.971
_cell_angle_gamma   119.767
_symmetry_Int_Tables_number   1
_cell_volume   290.229
_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  0.333  0.664  0.893  1.0
  Li  Li1  1  0.991  0.995  0.995  1.0
  Li  Li2  1  0.001  1.000  0.497  1.0
  Li  Li3  1  0.665  0.333  0.395  1.0
  Ti  Ti4  1  0.171  0.835  0.213  1.0
  Ti  Ti5  1  0.169  0.340  0.215  1.0
  Ti  Ti6  1  0.349  0.168  0.720  1.0
  Cr  Cr7  1  0.657  0.829  0.214  1.0
  Cr  Cr8  1  0.831  0.659  0.714  1.0
  Cr  Cr9  1  0.840  0.171  0.708  1.0
  Co  Co10  1  0.329  0.675  0.489  1.0
  Co  Co11  1  0.678  0.337  0.988  1.0
  O  O12  1  0.173  0.838  0.598  1.0
  O  O13  1  0.035  0.519  0.335  1.0
  O  O14  1  0.323  0.659  0.103  1.0
  O  O15  1  0.000  0.003  0.311  1.0
  O  O16  1  0.007  0.004  0.809  1.0
  O  O17  1  0.159  0.327  0.605  1.0
  O  O18  1  0.473  0.963  0.337  1.0
  O  O19  1  0.470  0.517  0.343  1.0
  O  O20  1  0.327  0.164  0.104  1.0
  O  O21  1  0.677  0.849  0.606  1.0
  O  O22  1  0.518  0.473  0.843  1.0
  O  O23  1  0.523  0.036  0.835  1.0
  O  O24  1  0.659  0.327  0.603  1.0
  O  O25  1  0.844  0.673  0.101  1.0
  O  O26  1  0.960  0.469  0.833  1.0
  O  O27  1  0.839  0.172  0.100  1.0
[/CIF]
.