The material structure described by Li4Cr5Co3O16 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(3)O6 octahedra,  a cornercorner with one Co(1)O6 octahedra, corners with two equivalent Cr(4)O6 octahedra, corners with two equivalent Co(2)O6 octahedra, corners with two equivalent Co(3)O6 octahedra, and corners with three equivalent Cr(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 55-64°. 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 trigonal pyramids that share  a cornercorner with one Cr(4)O6 octahedra,  a cornercorner with one Co(2)O6 octahedra,  a cornercorner with one Co(3)O6 octahedra, corners with three equivalent Cr(5)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra,  an edgeedge with one Cr(3)O6 octahedra, and  an edgeedge with one Co(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 59-67°. In the third Li site, Li(3) is bonded in a rectangular see-saw-like geometry to one O(1), one O(10), one O(4), and one O(6) atom. 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(4)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(3)O6 octahedra, corners with two equivalent Co(1)O6 octahedra, and corners with three equivalent Cr(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 56-63°. There are five 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 Cr(5)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one Cr(2)O6 octahedra, edges with two equivalent Cr(3)O6 octahedra, edges with two equivalent Co(1)O6 octahedra, and  an edgeedge with one Li(2)O4 trigonal pyramid. The corner-sharing octahedral tilt angles range from 48-51°. In the second Cr site, Cr(2) 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 CrO6 octahedra that share corners with two equivalent Cr(4)O6 octahedra, corners with two equivalent Co(2)O6 octahedra, corners with two equivalent Co(3)O6 octahedra, corners with three equivalent Li(4)O4 tetrahedra,  an edgeedge with one Cr(1)O6 octahedra,  an edgeedge with one Cr(3)O6 octahedra, and  an edgeedge with one Co(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 50-54°. In the third Cr site, Cr(3) is bonded to one O(16), one O(2), one O(3), one O(4), one O(8), and one O(9) atom to form CrO6 octahedra that share corners with two equivalent Cr(5)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one Cr(2)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 trigonal pyramid. The corner-sharing octahedral tilt angles range from 49-51°. In the fourth Cr site, Cr(4) 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 Cr(2)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  a cornercorner with one Li(2)O4 trigonal pyramid,  an edgeedge with one Cr(5)O6 octahedra, edges with two equivalent Co(2)O6 octahedra, and edges with two equivalent Co(3)O6 octahedra. The corner-sharing octahedral tilt angles are 50°. In the fifth Cr site, Cr(5) 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 CrO6 octahedra that share corners with two equivalent Cr(1)O6 octahedra, corners with two equivalent Cr(3)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 trigonal pyramids,  an edgeedge with one Cr(4)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 48-53°. 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 Cr(5)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one Cr(2)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, edges with two equivalent Cr(3)O6 octahedra, and  an edgeedge with one Li(2)O4 trigonal pyramid. The corner-sharing octahedral tilt angles are 53°. 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 Cr(2)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  a cornercorner with one Li(2)O4 trigonal pyramid,  an edgeedge with one Cr(5)O6 octahedra, edges with two equivalent Cr(4)O6 octahedra, and edges with two equivalent Co(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 50-53°. 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 Cr(2)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  a cornercorner with one Li(2)O4 trigonal pyramid,  an edgeedge with one Cr(5)O6 octahedra, edges with two equivalent Cr(4)O6 octahedra, and edges with two equivalent Co(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 52-54°. There are sixteen inequivalent O sites. In the first O site, O(1) is bonded to one Li(3), one Cr(2), one Cr(4), and one Co(2) atom to form distorted OLiCr2Co trigonal pyramids that share  a cornercorner with one O(12)LiCr2Co tetrahedra,  a cornercorner with one O(4)LiCr2Co tetrahedra,  a cornercorner with one O(2)LiCr3 tetrahedra, corners with two equivalent O(11)LiCr2Co tetrahedra,  a cornercorner with one O(7)LiCr2Co trigonal pyramid,  a cornercorner with one O(8)LiCr2Co trigonal pyramid,  a cornercorner with one O(15)LiCrCo2 trigonal pyramid, and  an edgeedge with one O(5)LiCrCo2 tetrahedra. In the second O site, O(2) is bonded to one Li(4), one Cr(1), one Cr(2), and one Cr(3) atom to form distorted OLiCr3 tetrahedra that share corners with two equivalent O(4)LiCr2Co tetrahedra,  a cornercorner with one O(1)LiCr2Co trigonal pyramid,  a cornercorner with one O(7)LiCr2Co trigonal pyramid,  a cornercorner with one O(8)LiCr2Co trigonal pyramid, corners with two equivalent O(9)LiCr3 trigonal pyramids,  an edgeedge with one O(7)LiCr2Co trigonal pyramid, and  an edgeedge with one O(8)LiCr2Co trigonal pyramid. 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(3), and one Co(1) atom. In the fourth O site, O(4) is bonded to one Li(3), one Cr(1), one Cr(3), and one Co(1) atom to form distorted OLiCr2Co tetrahedra that share corners with two equivalent O(2)LiCr3 tetrahedra,  a cornercorner with one O(1)LiCr2Co trigonal pyramid, corners with two equivalent O(7)LiCr2Co trigonal pyramids, corners with two equivalent O(8)LiCr2Co trigonal pyramids, and  an edgeedge with one O(9)LiCr3 trigonal pyramid. In the fifth O site, O(5) is bonded to one Li(2), one Cr(4), one Co(2), and one Co(3) atom to form distorted OLiCrCo2 tetrahedra that share corners with two equivalent O(11)LiCr2Co tetrahedra, corners with two equivalent O(12)LiCr2Co tetrahedra,  a cornercorner with one O(9)LiCr3 trigonal pyramid, corners with two equivalent O(15)LiCrCo2 trigonal pyramids, and  an edgeedge with one O(1)LiCr2Co trigonal pyramid. In the sixth O site, O(6) is bonded in a distorted rectangular see-saw-like geometry to one Li(3), one Cr(2), one Cr(4), and one Co(3) atom. In the seventh O site, O(7) is bonded to one Li(4), one Cr(1), one Cr(2), and one Co(1) atom to form distorted OLiCr2Co trigonal pyramids that share  a cornercorner with one O(2)LiCr3 tetrahedra, corners with two equivalent O(4)LiCr2Co tetrahedra,  a cornercorner with one O(1)LiCr2Co trigonal pyramid,  a cornercorner with one O(8)LiCr2Co trigonal pyramid,  a cornercorner with one O(9)LiCr3 trigonal pyramid,  an edgeedge with one O(2)LiCr3 tetrahedra, and  an edgeedge with one O(8)LiCr2Co trigonal pyramid. In the eighth O site, O(8) is bonded to one Li(4), one Cr(2), one Cr(3), and one Co(1) atom to form distorted OLiCr2Co trigonal pyramids that share  a cornercorner with one O(2)LiCr3 tetrahedra, corners with two equivalent O(4)LiCr2Co tetrahedra,  a cornercorner with one O(1)LiCr2Co trigonal pyramid,  a cornercorner with one O(7)LiCr2Co trigonal pyramid,  a cornercorner with one O(9)LiCr3 trigonal pyramid,  an edgeedge with one O(2)LiCr3 tetrahedra, and  an edgeedge with one O(7)LiCr2Co trigonal pyramid. In the ninth O site, O(9) is bonded to one Li(2), one Cr(1), one Cr(3), and one Cr(5) atom to form distorted OLiCr3 trigonal pyramids that share  a cornercorner with one O(11)LiCr2Co tetrahedra,  a cornercorner with one O(12)LiCr2Co tetrahedra,  a cornercorner with one O(5)LiCrCo2 tetrahedra, corners with two equivalent O(2)LiCr3 tetrahedra,  a cornercorner with one O(7)LiCr2Co trigonal pyramid,  a cornercorner with one O(8)LiCr2Co trigonal pyramid,  a cornercorner with one O(15)LiCrCo2 trigonal pyramid, and  an edgeedge with one O(4)LiCr2Co tetrahedra. In the tenth O site, O(10) is bonded in a rectangular see-saw-like geometry to one Li(3), one Cr(2), one Co(2), and one Co(3) atom. In the eleventh O site, O(11) is bonded to one Li(1), one Cr(4), one Cr(5), and one Co(2) atom to form distorted OLiCr2Co tetrahedra that share  a cornercorner with one O(12)LiCr2Co tetrahedra, corners with two equivalent O(5)LiCrCo2 tetrahedra,  a cornercorner with one O(9)LiCr3 trigonal pyramid,  a cornercorner with one O(15)LiCrCo2 trigonal pyramid, corners with two equivalent O(1)LiCr2Co trigonal pyramids,  an edgeedge with one O(12)LiCr2Co tetrahedra, and  an edgeedge with one O(15)LiCrCo2 trigonal pyramid. In the twelfth O site, O(12) is bonded to one Li(1), one Cr(4), one Cr(5), and one Co(3) atom to form distorted OLiCr2Co tetrahedra that share  a cornercorner with one O(11)LiCr2Co tetrahedra, corners with two equivalent O(5)LiCrCo2 tetrahedra,  a cornercorner with one O(1)LiCr2Co trigonal pyramid,  a cornercorner with one O(9)LiCr3 trigonal pyramid,  a cornercorner with one O(15)LiCrCo2 trigonal pyramid,  an edgeedge with one O(11)LiCr2Co tetrahedra, and  an edgeedge with one O(15)LiCrCo2 trigonal pyramid. In the thirteenth O site, O(13) is bonded in a rectangular see-saw-like geometry to one Li(4), one Cr(4), one Co(2), and one Co(3) atom. In the fourteenth O site, O(14) is bonded in a rectangular see-saw-like geometry to one Li(2), one Cr(1), one Cr(5), and one Co(1) atom. In the fifteenth O site, O(15) is bonded to one Li(1), one Cr(5), one Co(2), and one Co(3) atom to form distorted OLiCrCo2 trigonal pyramids that share  a cornercorner with one O(11)LiCr2Co tetrahedra,  a cornercorner with one O(12)LiCr2Co tetrahedra, corners with two equivalent O(5)LiCrCo2 tetrahedra,  a cornercorner with one O(1)LiCr2Co trigonal pyramid,  a cornercorner with one O(9)LiCr3 trigonal pyramid,  an edgeedge with one O(11)LiCr2Co tetrahedra, and  an edgeedge with one O(12)LiCr2Co tetrahedra. In the sixteenth O site, O(16) is bonded in a rectangular see-saw-like geometry to one Li(2), one Cr(3), one Cr(5), and one Co(1) atom. is represented by the CIF card [CIF]
data_Li4Cr5Co3O16
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.831
_cell_length_b   5.838
_cell_length_c   9.497
_cell_angle_alpha   90.931
_cell_angle_beta   89.593
_cell_angle_gamma   119.463
_symmetry_Int_Tables_number   1
_cell_volume   281.419
_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  0.325  0.663  0.893  1.0
  Li  Li1  1  0.006  0.997  0.996  1.0
  Li  Li2  1  0.006  0.998  0.498  1.0
  Li  Li3  1  0.666  0.332  0.396  1.0
  Cr  Cr4  1  0.169  0.336  0.210  1.0
  Cr  Cr5  1  0.342  0.676  0.485  1.0
  Cr  Cr6  1  0.663  0.830  0.208  1.0
  Cr  Cr7  1  0.834  0.167  0.708  1.0
  Cr  Cr8  1  0.657  0.334  0.983  1.0
  Co  Co9  1  0.171  0.828  0.221  1.0
  Co  Co10  1  0.341  0.170  0.714  1.0
  Co  Co11  1  0.835  0.660  0.717  1.0
  O  O12  1  0.162  0.326  0.608  1.0
  O  O13  1  0.482  0.523  0.333  1.0
  O  O14  1  0.329  0.668  0.103  1.0
  O  O15  1  0.002  0.999  0.309  1.0
  O  O16  1  0.013  0.010  0.809  1.0
  O  O17  1  0.675  0.844  0.605  1.0
  O  O18  1  0.040  0.510  0.343  1.0
  O  O19  1  0.494  0.962  0.341  1.0
  O  O20  1  0.833  0.164  0.106  1.0
  O  O21  1  0.176  0.850  0.605  1.0
  O  O22  1  0.520  0.041  0.832  1.0
  O  O23  1  0.954  0.473  0.838  1.0
  O  O24  1  0.655  0.325  0.606  1.0
  O  O25  1  0.329  0.178  0.103  1.0
  O  O26  1  0.501  0.465  0.838  1.0
  O  O27  1  0.819  0.670  0.100  1.0
[/CIF]
.
The material structure described by Li4Cr5Co3O16 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(3)O6 octahedra,  a cornercorner with one Co(1)O6 octahedra, corners with two equivalent Cr(4)O6 octahedra, corners with two equivalent Co(2)O6 octahedra, corners with two equivalent Co(3)O6 octahedra, and corners with three equivalent Cr(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 55-64°. 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 trigonal pyramids that share  a cornercorner with one Cr(4)O6 octahedra,  a cornercorner with one Co(2)O6 octahedra,  a cornercorner with one Co(3)O6 octahedra, corners with three equivalent Cr(5)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra,  an edgeedge with one Cr(3)O6 octahedra, and  an edgeedge with one Co(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 59-67°. In the third Li site, Li(3) is bonded in a rectangular see-saw-like geometry to one O(1), one O(10), one O(4), and one O(6) atom. 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(4)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(3)O6 octahedra, corners with two equivalent Co(1)O6 octahedra, and corners with three equivalent Cr(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 56-63°. There are five 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 Cr(5)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one Cr(2)O6 octahedra, edges with two equivalent Cr(3)O6 octahedra, edges with two equivalent Co(1)O6 octahedra, and  an edgeedge with one Li(2)O4 trigonal pyramid. The corner-sharing octahedral tilt angles range from 48-51°. In the second Cr site, Cr(2) 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 CrO6 octahedra that share corners with two equivalent Cr(4)O6 octahedra, corners with two equivalent Co(2)O6 octahedra, corners with two equivalent Co(3)O6 octahedra, corners with three equivalent Li(4)O4 tetrahedra,  an edgeedge with one Cr(1)O6 octahedra,  an edgeedge with one Cr(3)O6 octahedra, and  an edgeedge with one Co(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 50-54°. In the third Cr site, Cr(3) is bonded to one O(16), one O(2), one O(3), one O(4), one O(8), and one O(9) atom to form CrO6 octahedra that share corners with two equivalent Cr(5)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one Cr(2)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 trigonal pyramid. The corner-sharing octahedral tilt angles range from 49-51°. In the fourth Cr site, Cr(4) 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 Cr(2)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  a cornercorner with one Li(2)O4 trigonal pyramid,  an edgeedge with one Cr(5)O6 octahedra, edges with two equivalent Co(2)O6 octahedra, and edges with two equivalent Co(3)O6 octahedra. The corner-sharing octahedral tilt angles are 50°. In the fifth Cr site, Cr(5) 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 CrO6 octahedra that share corners with two equivalent Cr(1)O6 octahedra, corners with two equivalent Cr(3)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 trigonal pyramids,  an edgeedge with one Cr(4)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 48-53°. 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 Cr(5)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one Cr(2)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, edges with two equivalent Cr(3)O6 octahedra, and  an edgeedge with one Li(2)O4 trigonal pyramid. The corner-sharing octahedral tilt angles are 53°. 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 Cr(2)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  a cornercorner with one Li(2)O4 trigonal pyramid,  an edgeedge with one Cr(5)O6 octahedra, edges with two equivalent Cr(4)O6 octahedra, and edges with two equivalent Co(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 50-53°. 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 Cr(2)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  a cornercorner with one Li(2)O4 trigonal pyramid,  an edgeedge with one Cr(5)O6 octahedra, edges with two equivalent Cr(4)O6 octahedra, and edges with two equivalent Co(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 52-54°. There are sixteen inequivalent O sites. In the first O site, O(1) is bonded to one Li(3), one Cr(2), one Cr(4), and one Co(2) atom to form distorted OLiCr2Co trigonal pyramids that share  a cornercorner with one O(12)LiCr2Co tetrahedra,  a cornercorner with one O(4)LiCr2Co tetrahedra,  a cornercorner with one O(2)LiCr3 tetrahedra, corners with two equivalent O(11)LiCr2Co tetrahedra,  a cornercorner with one O(7)LiCr2Co trigonal pyramid,  a cornercorner with one O(8)LiCr2Co trigonal pyramid,  a cornercorner with one O(15)LiCrCo2 trigonal pyramid, and  an edgeedge with one O(5)LiCrCo2 tetrahedra. In the second O site, O(2) is bonded to one Li(4), one Cr(1), one Cr(2), and one Cr(3) atom to form distorted OLiCr3 tetrahedra that share corners with two equivalent O(4)LiCr2Co tetrahedra,  a cornercorner with one O(1)LiCr2Co trigonal pyramid,  a cornercorner with one O(7)LiCr2Co trigonal pyramid,  a cornercorner with one O(8)LiCr2Co trigonal pyramid, corners with two equivalent O(9)LiCr3 trigonal pyramids,  an edgeedge with one O(7)LiCr2Co trigonal pyramid, and  an edgeedge with one O(8)LiCr2Co trigonal pyramid. 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(3), and one Co(1) atom. In the fourth O site, O(4) is bonded to one Li(3), one Cr(1), one Cr(3), and one Co(1) atom to form distorted OLiCr2Co tetrahedra that share corners with two equivalent O(2)LiCr3 tetrahedra,  a cornercorner with one O(1)LiCr2Co trigonal pyramid, corners with two equivalent O(7)LiCr2Co trigonal pyramids, corners with two equivalent O(8)LiCr2Co trigonal pyramids, and  an edgeedge with one O(9)LiCr3 trigonal pyramid. In the fifth O site, O(5) is bonded to one Li(2), one Cr(4), one Co(2), and one Co(3) atom to form distorted OLiCrCo2 tetrahedra that share corners with two equivalent O(11)LiCr2Co tetrahedra, corners with two equivalent O(12)LiCr2Co tetrahedra,  a cornercorner with one O(9)LiCr3 trigonal pyramid, corners with two equivalent O(15)LiCrCo2 trigonal pyramids, and  an edgeedge with one O(1)LiCr2Co trigonal pyramid. In the sixth O site, O(6) is bonded in a distorted rectangular see-saw-like geometry to one Li(3), one Cr(2), one Cr(4), and one Co(3) atom. In the seventh O site, O(7) is bonded to one Li(4), one Cr(1), one Cr(2), and one Co(1) atom to form distorted OLiCr2Co trigonal pyramids that share  a cornercorner with one O(2)LiCr3 tetrahedra, corners with two equivalent O(4)LiCr2Co tetrahedra,  a cornercorner with one O(1)LiCr2Co trigonal pyramid,  a cornercorner with one O(8)LiCr2Co trigonal pyramid,  a cornercorner with one O(9)LiCr3 trigonal pyramid,  an edgeedge with one O(2)LiCr3 tetrahedra, and  an edgeedge with one O(8)LiCr2Co trigonal pyramid. In the eighth O site, O(8) is bonded to one Li(4), one Cr(2), one Cr(3), and one Co(1) atom to form distorted OLiCr2Co trigonal pyramids that share  a cornercorner with one O(2)LiCr3 tetrahedra, corners with two equivalent O(4)LiCr2Co tetrahedra,  a cornercorner with one O(1)LiCr2Co trigonal pyramid,  a cornercorner with one O(7)LiCr2Co trigonal pyramid,  a cornercorner with one O(9)LiCr3 trigonal pyramid,  an edgeedge with one O(2)LiCr3 tetrahedra, and  an edgeedge with one O(7)LiCr2Co trigonal pyramid. In the ninth O site, O(9) is bonded to one Li(2), one Cr(1), one Cr(3), and one Cr(5) atom to form distorted OLiCr3 trigonal pyramids that share  a cornercorner with one O(11)LiCr2Co tetrahedra,  a cornercorner with one O(12)LiCr2Co tetrahedra,  a cornercorner with one O(5)LiCrCo2 tetrahedra, corners with two equivalent O(2)LiCr3 tetrahedra,  a cornercorner with one O(7)LiCr2Co trigonal pyramid,  a cornercorner with one O(8)LiCr2Co trigonal pyramid,  a cornercorner with one O(15)LiCrCo2 trigonal pyramid, and  an edgeedge with one O(4)LiCr2Co tetrahedra. In the tenth O site, O(10) is bonded in a rectangular see-saw-like geometry to one Li(3), one Cr(2), one Co(2), and one Co(3) atom. In the eleventh O site, O(11) is bonded to one Li(1), one Cr(4), one Cr(5), and one Co(2) atom to form distorted OLiCr2Co tetrahedra that share  a cornercorner with one O(12)LiCr2Co tetrahedra, corners with two equivalent O(5)LiCrCo2 tetrahedra,  a cornercorner with one O(9)LiCr3 trigonal pyramid,  a cornercorner with one O(15)LiCrCo2 trigonal pyramid, corners with two equivalent O(1)LiCr2Co trigonal pyramids,  an edgeedge with one O(12)LiCr2Co tetrahedra, and  an edgeedge with one O(15)LiCrCo2 trigonal pyramid. In the twelfth O site, O(12) is bonded to one Li(1), one Cr(4), one Cr(5), and one Co(3) atom to form distorted OLiCr2Co tetrahedra that share  a cornercorner with one O(11)LiCr2Co tetrahedra, corners with two equivalent O(5)LiCrCo2 tetrahedra,  a cornercorner with one O(1)LiCr2Co trigonal pyramid,  a cornercorner with one O(9)LiCr3 trigonal pyramid,  a cornercorner with one O(15)LiCrCo2 trigonal pyramid,  an edgeedge with one O(11)LiCr2Co tetrahedra, and  an edgeedge with one O(15)LiCrCo2 trigonal pyramid. In the thirteenth O site, O(13) is bonded in a rectangular see-saw-like geometry to one Li(4), one Cr(4), one Co(2), and one Co(3) atom. In the fourteenth O site, O(14) is bonded in a rectangular see-saw-like geometry to one Li(2), one Cr(1), one Cr(5), and one Co(1) atom. In the fifteenth O site, O(15) is bonded to one Li(1), one Cr(5), one Co(2), and one Co(3) atom to form distorted OLiCrCo2 trigonal pyramids that share  a cornercorner with one O(11)LiCr2Co tetrahedra,  a cornercorner with one O(12)LiCr2Co tetrahedra, corners with two equivalent O(5)LiCrCo2 tetrahedra,  a cornercorner with one O(1)LiCr2Co trigonal pyramid,  a cornercorner with one O(9)LiCr3 trigonal pyramid,  an edgeedge with one O(11)LiCr2Co tetrahedra, and  an edgeedge with one O(12)LiCr2Co tetrahedra. In the sixteenth O site, O(16) is bonded in a rectangular see-saw-like geometry to one Li(2), one Cr(3), one Cr(5), and one Co(1) atom. is represented by the CIF card [CIF]
data_Li4Cr5Co3O16
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.831
_cell_length_b   5.838
_cell_length_c   9.497
_cell_angle_alpha   90.931
_cell_angle_beta   89.593
_cell_angle_gamma   119.463
_symmetry_Int_Tables_number   1
_cell_volume   281.419
_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  0.325  0.663  0.893  1.0
  Li  Li1  1  0.006  0.997  0.996  1.0
  Li  Li2  1  0.006  0.998  0.498  1.0
  Li  Li3  1  0.666  0.332  0.396  1.0
  Cr  Cr4  1  0.169  0.336  0.210  1.0
  Cr  Cr5  1  0.342  0.676  0.485  1.0
  Cr  Cr6  1  0.663  0.830  0.208  1.0
  Cr  Cr7  1  0.834  0.167  0.708  1.0
  Cr  Cr8  1  0.657  0.334  0.983  1.0
  Co  Co9  1  0.171  0.828  0.221  1.0
  Co  Co10  1  0.341  0.170  0.714  1.0
  Co  Co11  1  0.835  0.660  0.717  1.0
  O  O12  1  0.162  0.326  0.608  1.0
  O  O13  1  0.482  0.523  0.333  1.0
  O  O14  1  0.329  0.668  0.103  1.0
  O  O15  1  0.002  0.999  0.309  1.0
  O  O16  1  0.013  0.010  0.809  1.0
  O  O17  1  0.675  0.844  0.605  1.0
  O  O18  1  0.040  0.510  0.343  1.0
  O  O19  1  0.494  0.962  0.341  1.0
  O  O20  1  0.833  0.164  0.106  1.0
  O  O21  1  0.176  0.850  0.605  1.0
  O  O22  1  0.520  0.041  0.832  1.0
  O  O23  1  0.954  0.473  0.838  1.0
  O  O24  1  0.655  0.325  0.606  1.0
  O  O25  1  0.329  0.178  0.103  1.0
  O  O26  1  0.501  0.465  0.838  1.0
  O  O27  1  0.819  0.670  0.100  1.0
[/CIF]
.