The compound described by Li4Ti2Cr3Co3O16 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 Cr(1)O6 octahedra,  a cornercorner with one Cr(2)O6 octahedra,  a cornercorner with one Co(1)O6 octahedra, corners with two equivalent Cr(3)O6 octahedra, corners with two equivalent Co(2)O6 octahedra, corners with two equivalent Co(3)O6 octahedra, and corners with three equivalent Ti(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 54-64°. In the second Li site, Li(2) is bonded to one O(14), one O(16), one O(5), and one O(9) atom to form distorted LiO4 tetrahedra that share  a cornercorner with one Cr(3)O6 octahedra,  a cornercorner with one Co(2)O6 octahedra,  a cornercorner with one Co(3)O6 octahedra, corners with three equivalent Ti(2)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra, and  an edgeedge with one Co(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 57-67°. 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 tetrahedra that share  a cornercorner with one Cr(1)O6 octahedra,  a cornercorner with one Cr(2)O6 octahedra,  a cornercorner with one Co(1)O6 octahedra, corners with three equivalent Ti(1)O6 octahedra,  an edgeedge with one Cr(3)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra, and  an edgeedge with one Co(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 58-66°. 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 Cr(3)O6 octahedra,  a cornercorner with one Co(2)O6 octahedra,  a cornercorner with one Co(3)O6 octahedra, corners with two equivalent Cr(1)O6 octahedra, corners with two equivalent Cr(2)O6 octahedra, corners with two equivalent Co(1)O6 octahedra, and corners with three equivalent Ti(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 57-63°. There are two inequivalent Ti sites. In the first Ti site, Ti(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 TiO6 octahedra that share corners with two equivalent Cr(3)O6 octahedra, corners with two equivalent Co(2)O6 octahedra, corners with two equivalent Co(3)O6 octahedra, corners with three equivalent Li(3)O4 tetrahedra, corners with three equivalent Li(4)O4 tetrahedra,  an edgeedge with one Cr(1)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra, and  an edgeedge with one Co(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 51-53°. In the second Ti site, Ti(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 TiO6 octahedra that share corners with two equivalent Cr(1)O6 octahedra, corners with two equivalent Cr(2)O6 octahedra, corners with two equivalent Co(1)O6 octahedra, corners with three equivalent Li(1)O4 tetrahedra, corners with three equivalent Li(2)O4 tetrahedra,  an edgeedge with one Cr(3)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra, and  an edgeedge with one Co(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 50-54°. There are three inequivalent Cr sites. In the first Cr site, Cr(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 CrO6 octahedra that share corners with two equivalent Ti(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra,  a cornercorner with one Li(3)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one Ti(1)O6 octahedra, edges with two equivalent Cr(2)O6 octahedra, edges with two equivalent Co(1)O6 octahedra, and  an edgeedge with one Li(2)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 52-53°. In the second Cr site, Cr(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 CrO6 octahedra that share corners with two equivalent Ti(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra,  a cornercorner with one Li(3)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one Ti(1)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, edges with two equivalent Co(1)O6 octahedra, and  an edgeedge with one Li(2)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 53-54°. In the third Cr site, Cr(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 CrO6 octahedra that share corners with two equivalent Ti(1)O6 octahedra,  a cornercorner with one Li(2)O4 tetrahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  an edgeedge with one Ti(2)O6 octahedra, edges with two equivalent Co(2)O6 octahedra, edges with two equivalent Co(3)O6 octahedra, and  an edgeedge with one Li(3)O4 tetrahedra. The corner-sharing octahedral tilt angles are 53°. There are three inequivalent Co sites. In the first Co site, Co(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 CoO6 octahedra that share corners with two equivalent Ti(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra,  a cornercorner with one Li(3)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one Ti(1)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, edges with two equivalent Cr(2)O6 octahedra, and  an edgeedge with one Li(2)O4 tetrahedra. The corner-sharing octahedral tilt angles are 50°. In the second Co site, Co(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 CoO6 octahedra that share corners with two equivalent Ti(1)O6 octahedra,  a cornercorner with one Li(2)O4 tetrahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  an edgeedge with one Ti(2)O6 octahedra, edges with two equivalent Cr(3)O6 octahedra, edges with two equivalent Co(3)O6 octahedra, and  an edgeedge with one Li(3)O4 tetrahedra. The corner-sharing octahedral tilt angles are 52°. In the third Co site, Co(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 CoO6 octahedra that share corners with two equivalent Ti(1)O6 octahedra,  a cornercorner with one Li(2)O4 tetrahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  an edgeedge with one Ti(2)O6 octahedra, edges with two equivalent Cr(3)O6 octahedra, edges with two equivalent Co(2)O6 octahedra, and  an edgeedge with one Li(3)O4 tetrahedra. The corner-sharing octahedral tilt angles are 51°. 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(1), one Cr(3), and one Co(2) atom. In the second O site, O(2) is bonded in a distorted rectangular see-saw-like geometry to one Li(4), one Ti(1), one Cr(1), and one Cr(2) atom. In the third O site, O(3) is bonded in a rectangular see-saw-like geometry to one Li(1), one Cr(1), one Cr(2), and one Co(1) atom. In the fourth O site, O(4) is bonded to one Li(3), one Cr(1), one Cr(2), and one Co(1) atom to form corner-sharing OLiCr2Co tetrahedra. In the fifth O site, O(5) is bonded to one Li(2), one Cr(3), one Co(2), and one Co(3) atom to form OLiCrCo2 tetrahedra that share corners with two equivalent O(15)LiTiCo2 tetrahedra, corners with two equivalent O(11)LiTiCrCo tetrahedra, corners with two equivalent O(12)LiTiCrCo tetrahedra, and corners with three equivalent O(13)LiCrCo2 trigonal pyramids. In the sixth O site, O(6) is bonded in a rectangular see-saw-like geometry to one Li(3), one Ti(1), one Cr(3), and one Co(3) 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(8)LiTiCrCo tetrahedra, corners with two equivalent O(4)LiCr2Co tetrahedra,  a cornercorner with one O(13)LiCrCo2 trigonal pyramid, and  an edgeedge with one O(8)LiTiCrCo tetrahedra. In the eighth O site, O(8) is bonded to one Li(4), one Ti(1), one Cr(2), and one Co(1) atom to form distorted OLiTiCrCo tetrahedra that share  a cornercorner with one O(7)LiTiCrCo tetrahedra, corners with two equivalent O(4)LiCr2Co tetrahedra,  a cornercorner with one O(13)LiCrCo2 trigonal pyramid, 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(2), one Cr(1), and one Cr(2) atom. In the tenth O site, O(10) is bonded in a rectangular see-saw-like geometry to one Li(3), one Ti(1), one Co(2), and one Co(3) atom. In the eleventh O site, O(11) is bonded to one Li(1), one Ti(2), one Cr(3), and one Co(2) atom to form distorted OLiTiCrCo tetrahedra that share  a cornercorner with one O(15)LiTiCo2 tetrahedra,  a cornercorner with one O(12)LiTiCrCo tetrahedra, corners with two equivalent O(5)LiCrCo2 tetrahedra,  an edgeedge with one O(15)LiTiCo2 tetrahedra,  an edgeedge with one O(12)LiTiCrCo tetrahedra, and  an edgeedge with one O(13)LiCrCo2 trigonal pyramid. In the twelfth O site, O(12) is bonded to one Li(1), one Ti(2), one Cr(3), and one Co(3) atom to form distorted OLiTiCrCo tetrahedra that share  a cornercorner with one O(15)LiTiCo2 tetrahedra,  a cornercorner with one O(11)LiTiCrCo tetrahedra, corners with two equivalent O(5)LiCrCo2 tetrahedra,  an edgeedge with one O(15)LiTiCo2 tetrahedra,  an edgeedge with one O(11)LiTiCrCo tetrahedra, and  an edgeedge with one O(13)LiCrCo2 trigonal pyramid. In the thirteenth O site, O(13) is bonded to one Li(4), one Cr(3), one Co(2), and one Co(3) atom to form distorted OLiCrCo2 trigonal pyramids that share  a cornercorner with one O(7)LiTiCrCo tetrahedra,  a cornercorner with one O(8)LiTiCrCo tetrahedra, corners with three equivalent O(5)LiCrCo2 tetrahedra,  an edgeedge with one O(15)LiTiCo2 tetrahedra,  an edgeedge with one O(11)LiTiCrCo tetrahedra, and  an edgeedge with one O(12)LiTiCrCo tetrahedra. In the fourteenth O site, O(14) is bonded in a rectangular see-saw-like geometry to one Li(2), one Ti(2), one Cr(1), and one Co(1) atom. In the fifteenth O site, O(15) is bonded to one Li(1), one Ti(2), one Co(2), and one Co(3) atom to form OLiTiCo2 tetrahedra that share  a cornercorner with one O(11)LiTiCrCo tetrahedra,  a cornercorner with one O(12)LiTiCrCo tetrahedra, corners with two equivalent O(5)LiCrCo2 tetrahedra,  an edgeedge with one O(11)LiTiCrCo tetrahedra,  an edgeedge with one O(12)LiTiCrCo tetrahedra, and  an edgeedge with one O(13)LiCrCo2 trigonal pyramid. 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(2), and one Co(1) atom. is represented by the CIF card [CIF]
data_Li4Ti2Cr3Co3O16
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.750
_cell_length_b   5.779
_cell_length_c   9.382
_cell_angle_alpha   89.120
_cell_angle_beta   89.034
_cell_angle_gamma   60.347
_symmetry_Int_Tables_number   1
_cell_volume   270.892
_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  0.666  0.666  0.890  1.0
  Li  Li1  1  0.998  0.994  0.993  1.0
  Li  Li2  1  0.999  0.998  0.497  1.0
  Li  Li3  1  0.330  0.334  0.395  1.0
  Ti  Ti4  1  0.674  0.668  0.499  1.0
  Ti  Ti5  1  0.339  0.336  0.997  1.0
  Cr  Cr6  1  0.349  0.820  0.222  1.0
  Cr  Cr7  1  0.830  0.342  0.213  1.0
  Cr  Cr8  1  0.174  0.173  0.723  1.0
  Co  Co9  1  0.829  0.830  0.213  1.0
  Co  Co10  1  0.171  0.658  0.713  1.0
  Co  Co11  1  0.658  0.171  0.713  1.0
  O  O12  1  0.333  0.835  0.598  1.0
  O  O13  1  0.508  0.527  0.344  1.0
  O  O14  1  0.658  0.682  0.104  1.0
  O  O15  1  0.006  0.988  0.305  1.0
  O  O16  1  1.000  0.999  0.802  1.0
  O  O17  1  0.835  0.332  0.598  1.0
  O  O18  1  0.522  0.962  0.339  1.0
  O  O19  1  0.958  0.529  0.340  1.0
  O  O20  1  0.170  0.162  0.094  1.0
  O  O21  1  0.833  0.834  0.601  1.0
  O  O22  1  0.039  0.480  0.839  1.0
  O  O23  1  0.480  0.040  0.839  1.0
  O  O24  1  0.333  0.333  0.608  1.0
  O  O25  1  0.166  0.666  0.098  1.0
  O  O26  1  0.478  0.478  0.833  1.0
  O  O27  1  0.665  0.164  0.096  1.0
[/CIF]
.
The compound described by Li4Ti2Cr3Co3O16 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 Cr(1)O6 octahedra,  a cornercorner with one Cr(2)O6 octahedra,  a cornercorner with one Co(1)O6 octahedra, corners with two equivalent Cr(3)O6 octahedra, corners with two equivalent Co(2)O6 octahedra, corners with two equivalent Co(3)O6 octahedra, and corners with three equivalent Ti(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 54-64°. In the second Li site, Li(2) is bonded to one O(14), one O(16), one O(5), and one O(9) atom to form distorted LiO4 tetrahedra that share  a cornercorner with one Cr(3)O6 octahedra,  a cornercorner with one Co(2)O6 octahedra,  a cornercorner with one Co(3)O6 octahedra, corners with three equivalent Ti(2)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra, and  an edgeedge with one Co(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 57-67°. 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 tetrahedra that share  a cornercorner with one Cr(1)O6 octahedra,  a cornercorner with one Cr(2)O6 octahedra,  a cornercorner with one Co(1)O6 octahedra, corners with three equivalent Ti(1)O6 octahedra,  an edgeedge with one Cr(3)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra, and  an edgeedge with one Co(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 58-66°. 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 Cr(3)O6 octahedra,  a cornercorner with one Co(2)O6 octahedra,  a cornercorner with one Co(3)O6 octahedra, corners with two equivalent Cr(1)O6 octahedra, corners with two equivalent Cr(2)O6 octahedra, corners with two equivalent Co(1)O6 octahedra, and corners with three equivalent Ti(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 57-63°. There are two inequivalent Ti sites. In the first Ti site, Ti(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 TiO6 octahedra that share corners with two equivalent Cr(3)O6 octahedra, corners with two equivalent Co(2)O6 octahedra, corners with two equivalent Co(3)O6 octahedra, corners with three equivalent Li(3)O4 tetrahedra, corners with three equivalent Li(4)O4 tetrahedra,  an edgeedge with one Cr(1)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra, and  an edgeedge with one Co(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 51-53°. In the second Ti site, Ti(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 TiO6 octahedra that share corners with two equivalent Cr(1)O6 octahedra, corners with two equivalent Cr(2)O6 octahedra, corners with two equivalent Co(1)O6 octahedra, corners with three equivalent Li(1)O4 tetrahedra, corners with three equivalent Li(2)O4 tetrahedra,  an edgeedge with one Cr(3)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra, and  an edgeedge with one Co(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 50-54°. There are three inequivalent Cr sites. In the first Cr site, Cr(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 CrO6 octahedra that share corners with two equivalent Ti(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra,  a cornercorner with one Li(3)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one Ti(1)O6 octahedra, edges with two equivalent Cr(2)O6 octahedra, edges with two equivalent Co(1)O6 octahedra, and  an edgeedge with one Li(2)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 52-53°. In the second Cr site, Cr(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 CrO6 octahedra that share corners with two equivalent Ti(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra,  a cornercorner with one Li(3)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one Ti(1)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, edges with two equivalent Co(1)O6 octahedra, and  an edgeedge with one Li(2)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 53-54°. In the third Cr site, Cr(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 CrO6 octahedra that share corners with two equivalent Ti(1)O6 octahedra,  a cornercorner with one Li(2)O4 tetrahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  an edgeedge with one Ti(2)O6 octahedra, edges with two equivalent Co(2)O6 octahedra, edges with two equivalent Co(3)O6 octahedra, and  an edgeedge with one Li(3)O4 tetrahedra. The corner-sharing octahedral tilt angles are 53°. There are three inequivalent Co sites. In the first Co site, Co(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 CoO6 octahedra that share corners with two equivalent Ti(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra,  a cornercorner with one Li(3)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one Ti(1)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, edges with two equivalent Cr(2)O6 octahedra, and  an edgeedge with one Li(2)O4 tetrahedra. The corner-sharing octahedral tilt angles are 50°. In the second Co site, Co(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 CoO6 octahedra that share corners with two equivalent Ti(1)O6 octahedra,  a cornercorner with one Li(2)O4 tetrahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  an edgeedge with one Ti(2)O6 octahedra, edges with two equivalent Cr(3)O6 octahedra, edges with two equivalent Co(3)O6 octahedra, and  an edgeedge with one Li(3)O4 tetrahedra. The corner-sharing octahedral tilt angles are 52°. In the third Co site, Co(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 CoO6 octahedra that share corners with two equivalent Ti(1)O6 octahedra,  a cornercorner with one Li(2)O4 tetrahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  an edgeedge with one Ti(2)O6 octahedra, edges with two equivalent Cr(3)O6 octahedra, edges with two equivalent Co(2)O6 octahedra, and  an edgeedge with one Li(3)O4 tetrahedra. The corner-sharing octahedral tilt angles are 51°. 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(1), one Cr(3), and one Co(2) atom. In the second O site, O(2) is bonded in a distorted rectangular see-saw-like geometry to one Li(4), one Ti(1), one Cr(1), and one Cr(2) atom. In the third O site, O(3) is bonded in a rectangular see-saw-like geometry to one Li(1), one Cr(1), one Cr(2), and one Co(1) atom. In the fourth O site, O(4) is bonded to one Li(3), one Cr(1), one Cr(2), and one Co(1) atom to form corner-sharing OLiCr2Co tetrahedra. In the fifth O site, O(5) is bonded to one Li(2), one Cr(3), one Co(2), and one Co(3) atom to form OLiCrCo2 tetrahedra that share corners with two equivalent O(15)LiTiCo2 tetrahedra, corners with two equivalent O(11)LiTiCrCo tetrahedra, corners with two equivalent O(12)LiTiCrCo tetrahedra, and corners with three equivalent O(13)LiCrCo2 trigonal pyramids. In the sixth O site, O(6) is bonded in a rectangular see-saw-like geometry to one Li(3), one Ti(1), one Cr(3), and one Co(3) 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(8)LiTiCrCo tetrahedra, corners with two equivalent O(4)LiCr2Co tetrahedra,  a cornercorner with one O(13)LiCrCo2 trigonal pyramid, and  an edgeedge with one O(8)LiTiCrCo tetrahedra. In the eighth O site, O(8) is bonded to one Li(4), one Ti(1), one Cr(2), and one Co(1) atom to form distorted OLiTiCrCo tetrahedra that share  a cornercorner with one O(7)LiTiCrCo tetrahedra, corners with two equivalent O(4)LiCr2Co tetrahedra,  a cornercorner with one O(13)LiCrCo2 trigonal pyramid, 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(2), one Cr(1), and one Cr(2) atom. In the tenth O site, O(10) is bonded in a rectangular see-saw-like geometry to one Li(3), one Ti(1), one Co(2), and one Co(3) atom. In the eleventh O site, O(11) is bonded to one Li(1), one Ti(2), one Cr(3), and one Co(2) atom to form distorted OLiTiCrCo tetrahedra that share  a cornercorner with one O(15)LiTiCo2 tetrahedra,  a cornercorner with one O(12)LiTiCrCo tetrahedra, corners with two equivalent O(5)LiCrCo2 tetrahedra,  an edgeedge with one O(15)LiTiCo2 tetrahedra,  an edgeedge with one O(12)LiTiCrCo tetrahedra, and  an edgeedge with one O(13)LiCrCo2 trigonal pyramid. In the twelfth O site, O(12) is bonded to one Li(1), one Ti(2), one Cr(3), and one Co(3) atom to form distorted OLiTiCrCo tetrahedra that share  a cornercorner with one O(15)LiTiCo2 tetrahedra,  a cornercorner with one O(11)LiTiCrCo tetrahedra, corners with two equivalent O(5)LiCrCo2 tetrahedra,  an edgeedge with one O(15)LiTiCo2 tetrahedra,  an edgeedge with one O(11)LiTiCrCo tetrahedra, and  an edgeedge with one O(13)LiCrCo2 trigonal pyramid. In the thirteenth O site, O(13) is bonded to one Li(4), one Cr(3), one Co(2), and one Co(3) atom to form distorted OLiCrCo2 trigonal pyramids that share  a cornercorner with one O(7)LiTiCrCo tetrahedra,  a cornercorner with one O(8)LiTiCrCo tetrahedra, corners with three equivalent O(5)LiCrCo2 tetrahedra,  an edgeedge with one O(15)LiTiCo2 tetrahedra,  an edgeedge with one O(11)LiTiCrCo tetrahedra, and  an edgeedge with one O(12)LiTiCrCo tetrahedra. In the fourteenth O site, O(14) is bonded in a rectangular see-saw-like geometry to one Li(2), one Ti(2), one Cr(1), and one Co(1) atom. In the fifteenth O site, O(15) is bonded to one Li(1), one Ti(2), one Co(2), and one Co(3) atom to form OLiTiCo2 tetrahedra that share  a cornercorner with one O(11)LiTiCrCo tetrahedra,  a cornercorner with one O(12)LiTiCrCo tetrahedra, corners with two equivalent O(5)LiCrCo2 tetrahedra,  an edgeedge with one O(11)LiTiCrCo tetrahedra,  an edgeedge with one O(12)LiTiCrCo tetrahedra, and  an edgeedge with one O(13)LiCrCo2 trigonal pyramid. 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(2), and one Co(1) atom. is represented by the CIF card [CIF]
data_Li4Ti2Cr3Co3O16
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.750
_cell_length_b   5.779
_cell_length_c   9.382
_cell_angle_alpha   89.120
_cell_angle_beta   89.034
_cell_angle_gamma   60.347
_symmetry_Int_Tables_number   1
_cell_volume   270.892
_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  0.666  0.666  0.890  1.0
  Li  Li1  1  0.998  0.994  0.993  1.0
  Li  Li2  1  0.999  0.998  0.497  1.0
  Li  Li3  1  0.330  0.334  0.395  1.0
  Ti  Ti4  1  0.674  0.668  0.499  1.0
  Ti  Ti5  1  0.339  0.336  0.997  1.0
  Cr  Cr6  1  0.349  0.820  0.222  1.0
  Cr  Cr7  1  0.830  0.342  0.213  1.0
  Cr  Cr8  1  0.174  0.173  0.723  1.0
  Co  Co9  1  0.829  0.830  0.213  1.0
  Co  Co10  1  0.171  0.658  0.713  1.0
  Co  Co11  1  0.658  0.171  0.713  1.0
  O  O12  1  0.333  0.835  0.598  1.0
  O  O13  1  0.508  0.527  0.344  1.0
  O  O14  1  0.658  0.682  0.104  1.0
  O  O15  1  0.006  0.988  0.305  1.0
  O  O16  1  1.000  0.999  0.802  1.0
  O  O17  1  0.835  0.332  0.598  1.0
  O  O18  1  0.522  0.962  0.339  1.0
  O  O19  1  0.958  0.529  0.340  1.0
  O  O20  1  0.170  0.162  0.094  1.0
  O  O21  1  0.833  0.834  0.601  1.0
  O  O22  1  0.039  0.480  0.839  1.0
  O  O23  1  0.480  0.040  0.839  1.0
  O  O24  1  0.333  0.333  0.608  1.0
  O  O25  1  0.166  0.666  0.098  1.0
  O  O26  1  0.478  0.478  0.833  1.0
  O  O27  1  0.665  0.164  0.096  1.0
[/CIF]
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