The material described by Li4Co13O28 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(1), one O(10), one O(15), one O(27), one O(5), and one O(9) atom to form distorted LiO6 octahedra that share  a cornercorner with one Co(12)O6 octahedra,  a cornercorner with one Co(2)O6 octahedra,  a cornercorner with one Co(3)O6 octahedra,  a cornercorner with one Co(4)O6 octahedra, corners with two equivalent Co(10)O6 octahedra,  an edgeedge with one Co(11)O6 octahedra,  an edgeedge with one Co(13)O6 octahedra,  an edgeedge with one Co(5)O6 octahedra,  an edgeedge with one Co(6)O6 octahedra, and  an edgeedge with one Co(7)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-19°. In the second Li site, Li(2) is bonded to one O(12), one O(17), one O(23), one O(25), one O(4), and one O(6) atom to form distorted LiO6 octahedra that share  a cornercorner with one Co(5)O6 octahedra,  a cornercorner with one Co(6)O6 octahedra,  a cornercorner with one Co(8)O6 octahedra,  a cornercorner with one Co(9)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Co(10)O6 octahedra,  an edgeedge with one Co(11)O6 octahedra,  an edgeedge with one Co(13)O6 octahedra,  an edgeedge with one Co(3)O6 octahedra, and  an edgeedge with one Co(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 13-17°. In the third Li site, Li(3) is bonded to one O(14), one O(19), one O(2), one O(20), one O(24), and one O(28) atom to form distorted LiO6 octahedra that share  a cornercorner with one Co(10)O6 octahedra,  a cornercorner with one Co(11)O6 octahedra,  a cornercorner with one Co(12)O6 octahedra,  a cornercorner with one Co(2)O6 octahedra, corners with two equivalent Co(4)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Co(3)O6 octahedra,  an edgeedge with one Co(7)O6 octahedra,  an edgeedge with one Co(8)O6 octahedra, and  an edgeedge with one Co(9)O6 octahedra. The corner-sharing octahedral tilt angles range from 10-18°. In the fourth Li site, Li(4) is bonded to one O(12), one O(14), one O(18), one O(22), one O(25), and one O(28) atom to form distorted LiO6 octahedra that share  a cornercorner with one Co(10)O6 octahedra,  a cornercorner with one Co(11)O6 octahedra,  a cornercorner with one Co(12)O6 octahedra,  a cornercorner with one Co(7)O6 octahedra, corners with two equivalent Co(3)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Co(13)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra,  an edgeedge with one Co(4)O6 octahedra,  an edgeedge with one Co(6)O6 octahedra, and  an edgeedge with one Co(8)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-18°. There are thirteen inequivalent Co sites. In the first Co site, Co(1) is bonded to one O(2), one O(24), one O(3), one O(4), one O(6), and one O(7) atom to form CoO6 octahedra that share  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Co(12)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra,  an edgeedge with one Co(3)O6 octahedra,  an edgeedge with one Co(4)O6 octahedra, and  an edgeedge with one Co(5)O6 octahedra. In the second Co site, Co(2) is bonded to one O(22), one O(28), one O(3), one O(5), one O(7), and one O(8) atom to form CoO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner with one Li(3)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Co(12)O6 octahedra,  an edgeedge with one Co(13)O6 octahedra,  an edgeedge with one Co(3)O6 octahedra, and  an edgeedge with one Co(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 10-19°. In the third Co site, Co(3) is bonded to one O(10), one O(12), one O(2), one O(28), one O(4), and one O(8) atom to form CoO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra, corners with two equivalent Li(4)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra,  an edgeedge with one Co(4)O6 octahedra,  an edgeedge with one Co(5)O6 octahedra, and  an edgeedge with one Co(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-16°. In the fourth Co site, Co(4) is bonded to one O(11), one O(12), one O(14), one O(2), one O(6), and one O(9) atom to form CoO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra, corners with two equivalent Li(3)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Co(3)O6 octahedra,  an edgeedge with one Co(5)O6 octahedra,  an edgeedge with one Co(6)O6 octahedra,  an edgeedge with one Co(7)O6 octahedra, and  an edgeedge with one Co(8)O6 octahedra. The corner-sharing octahedral tilt angles range from 10-16°. In the fifth Co site, Co(5) is bonded to one O(10), one O(13), one O(3), one O(6), one O(8), and one O(9) atom to form CoO6 octahedra that share  a cornercorner with one Li(2)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra,  an edgeedge with one Co(3)O6 octahedra,  an edgeedge with one Co(4)O6 octahedra,  an edgeedge with one Co(6)O6 octahedra, and  an edgeedge with one Co(7)O6 octahedra. The corner-sharing octahedral tilt angles are 16°. In the sixth Co site, Co(6) is bonded to one O(10), one O(11), one O(12), one O(13), one O(15), and one O(18) atom to form CoO6 octahedra that share  a cornercorner with one Li(2)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Co(10)O6 octahedra,  an edgeedge with one Co(3)O6 octahedra,  an edgeedge with one Co(4)O6 octahedra,  an edgeedge with one Co(5)O6 octahedra,  an edgeedge with one Co(7)O6 octahedra, and  an edgeedge with one Co(8)O6 octahedra. The corner-sharing octahedral tilt angles are 13°. In the seventh Co site, Co(7) is bonded to one O(13), one O(14), one O(15), one O(16), one O(20), and one O(9) atom to form CoO6 octahedra that share  a cornercorner with one Li(4)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Co(10)O6 octahedra,  an edgeedge with one Co(4)O6 octahedra,  an edgeedge with one Co(5)O6 octahedra,  an edgeedge with one Co(6)O6 octahedra,  an edgeedge with one Co(8)O6 octahedra, and  an edgeedge with one Co(9)O6 octahedra. The corner-sharing octahedral tilt angles are 16°. In the eighth Co site, Co(8) is bonded to one O(11), one O(14), one O(16), one O(17), one O(18), and one O(19) atom to form CoO6 octahedra that share  a cornercorner with one Li(2)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Co(10)O6 octahedra,  an edgeedge with one Co(11)O6 octahedra,  an edgeedge with one Co(4)O6 octahedra,  an edgeedge with one Co(6)O6 octahedra,  an edgeedge with one Co(7)O6 octahedra, and  an edgeedge with one Co(9)O6 octahedra. The corner-sharing octahedral tilt angles are 17°. In the ninth Co site, Co(9) is bonded to one O(16), one O(19), one O(20), one O(21), one O(23), and one O(26) atom to form CoO6 octahedra that share  a cornercorner with one Li(2)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Co(10)O6 octahedra,  an edgeedge with one Co(11)O6 octahedra,  an edgeedge with one Co(12)O6 octahedra,  an edgeedge with one Co(13)O6 octahedra,  an edgeedge with one Co(7)O6 octahedra, and  an edgeedge with one Co(8)O6 octahedra. The corner-sharing octahedral tilt angles are 16°. In the tenth Co site, Co(10) is bonded to one O(15), one O(17), one O(18), one O(20), one O(23), and one O(27) atom to form CoO6 octahedra that share  a cornercorner with one Li(3)O6 octahedra,  a cornercorner with one Li(4)O6 octahedra, corners with two equivalent Li(1)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Co(11)O6 octahedra,  an edgeedge with one Co(13)O6 octahedra,  an edgeedge with one Co(6)O6 octahedra,  an edgeedge with one Co(7)O6 octahedra,  an edgeedge with one Co(8)O6 octahedra, and  an edgeedge with one Co(9)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-18°. In the eleventh Co site, Co(11) is bonded to one O(1), one O(17), one O(19), one O(21), one O(25), and one O(27) atom to form CoO6 octahedra that share  a cornercorner with one Li(3)O6 octahedra,  a cornercorner with one Li(4)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Co(10)O6 octahedra,  an edgeedge with one Co(12)O6 octahedra,  an edgeedge with one Co(13)O6 octahedra,  an edgeedge with one Co(8)O6 octahedra, and  an edgeedge with one Co(9)O6 octahedra. The corner-sharing octahedral tilt angles range from 13-16°. In the twelfth Co site, Co(12) is bonded to one O(1), one O(21), one O(22), one O(24), one O(26), and one O(7) atom to form CoO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner with one Li(3)O6 octahedra,  a cornercorner with one Li(4)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Co(11)O6 octahedra,  an edgeedge with one Co(13)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra, and  an edgeedge with one Co(9)O6 octahedra. The corner-sharing octahedral tilt angles range from 11-17°. In the thirteenth Co site, Co(13) is bonded to one O(22), one O(23), one O(25), one O(26), one O(27), and one O(5) atom to form CoO6 octahedra that share  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Co(10)O6 octahedra,  an edgeedge with one Co(11)O6 octahedra,  an edgeedge with one Co(12)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra, and  an edgeedge with one Co(9)O6 octahedra. There are twenty-eight inequivalent O sites. In the first O site, O(1) is bonded in a T-shaped geometry to one Li(1), one Co(11), and one Co(12) atom. In the second O site, O(2) is bonded in a rectangular see-saw-like geometry to one Li(3), one Co(1), one Co(3), and one Co(4) atom. In the third O site, O(3) is bonded in a distorted trigonal non-coplanar geometry to one Co(1), one Co(2), and one Co(5) atom. In the fourth O site, O(4) is bonded in a trigonal non-coplanar geometry to one Li(2), one Co(1), and one Co(3) atom. In the fifth O site, O(5) is bonded in a T-shaped geometry to one Li(1), one Co(13), and one Co(2) atom. In the sixth O site, O(6) is bonded in a rectangular see-saw-like geometry to one Li(2), one Co(1), one Co(4), and one Co(5) atom. In the seventh O site, O(7) is bonded in a distorted T-shaped geometry to one Co(1), one Co(12), and one Co(2) atom. In the eighth O site, O(8) is bonded in a distorted T-shaped geometry to one Co(2), one Co(3), and one Co(5) atom. In the ninth O site, O(9) is bonded in a rectangular see-saw-like geometry to one Li(1), one Co(4), one Co(5), and one Co(7) atom. In the tenth O site, O(10) is bonded in a rectangular see-saw-like geometry to one Li(1), one Co(3), one Co(5), and one Co(6) atom. In the eleventh O site, O(11) is bonded in a distorted T-shaped geometry to one Co(4), one Co(6), and one Co(8) atom. In the twelfth O site, O(12) is bonded to one Li(2), one Li(4), one Co(3), one Co(4), and one Co(6) atom to form OLi2Co3 square pyramids that share  a cornercorner with one O(15)LiCo3 trigonal pyramid and  an edgeedge with one O(14)Li2Co3 square pyramid. In the thirteenth O site, O(13) is bonded in a distorted T-shaped geometry to one Co(5), one Co(6), and one Co(7) atom. In the fourteenth O site, O(14) is bonded to one Li(3), one Li(4), one Co(4), one Co(7), and one Co(8) atom to form OLi2Co3 square pyramids that share  a cornercorner with one O(15)LiCo3 trigonal pyramid,  an edgeedge with one O(12)Li2Co3 square pyramid, and  an edgeedge with one O(20)LiCo3 trigonal pyramid. In the fifteenth O site, O(15) is bonded to one Li(1), one Co(10), one Co(6), and one Co(7) atom to form OLiCo3 trigonal pyramids that share  a cornercorner with one O(12)Li2Co3 square pyramid,  a cornercorner with one O(14)Li2Co3 square pyramid, and  an edgeedge with one O(20)LiCo3 trigonal pyramid. In the sixteenth O site, O(16) is bonded in a distorted T-shaped geometry to one Co(7), one Co(8), and one Co(9) atom. In the seventeenth O site, O(17) is bonded in a rectangular see-saw-like geometry to one Li(2), one Co(10), one Co(11), and one Co(8) atom. In the eighteenth O site, O(18) is bonded in a rectangular see-saw-like geometry to one Li(4), one Co(10), one Co(6), and one Co(8) atom. In the nineteenth O site, O(19) is bonded in a rectangular see-saw-like geometry to one Li(3), one Co(11), one Co(8), and one Co(9) atom. In the twentieth O site, O(20) is bonded to one Li(3), one Co(10), one Co(7), and one Co(9) atom to form OLiCo3 trigonal pyramids that share  an edgeedge with one O(14)Li2Co3 square pyramid and  an edgeedge with one O(15)LiCo3 trigonal pyramid. In the twenty-first O site, O(21) is bonded in a distorted T-shaped geometry to one Co(11), one Co(12), and one Co(9) atom. In the twenty-second O site, O(22) is bonded in a rectangular see-saw-like geometry to one Li(4), one Co(12), one Co(13), and one Co(2) atom. In the twenty-third O site, O(23) is bonded in a rectangular see-saw-like geometry to one Li(2), one Co(10), one Co(13), and one Co(9) atom. In the twenty-fourth O site, O(24) is bonded in a T-shaped geometry to one Li(3), one Co(1), and one Co(12) atom. In the twenty-fifth O site, O(25) is bonded in a rectangular see-saw-like geometry to one Li(2), one Li(4), one Co(11), and one Co(13) atom. In the twenty-sixth O site, O(26) is bonded in a distorted trigonal non-coplanar geometry to one Co(12), one Co(13), and one Co(9) atom. In the twenty-seventh O site, O(27) is bonded in a rectangular see-saw-like geometry to one Li(1), one Co(10), one Co(11), and one Co(13) atom. In the twenty-eighth O site, O(28) is bonded in a rectangular see-saw-like geometry to one Li(3), one Li(4), one Co(2), and one Co(3) atom. is represented by the CIF file [CIF]
data_Li4Co13O28
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   7.447
_cell_length_b   8.226
_cell_length_c   8.516
_cell_angle_alpha   100.708
_cell_angle_beta   104.533
_cell_angle_gamma   105.474
_symmetry_Int_Tables_number   1
_cell_volume   468.478
_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  0.198  0.146  0.329  1.0
  Li  Li1  1  0.998  0.495  0.010  1.0
  Li  Li2  1  0.778  0.865  0.653  1.0
  Li  Li3  1  0.081  0.733  0.794  1.0
  Co  Co4  1  0.718  0.140  0.863  1.0
  Co  Co5  1  0.356  0.077  0.937  1.0
  Co  Co6  1  0.072  0.209  0.790  1.0
  Co  Co7  1  0.779  0.348  0.636  1.0
  Co  Co8  1  0.431  0.294  0.722  1.0
  Co  Co9  1  0.144  0.431  0.574  1.0
  Co  Co10  1  0.501  0.501  0.501  1.0
  Co  Co11  1  0.853  0.563  0.421  1.0
  Co  Co12  1  0.569  0.705  0.278  1.0
  Co  Co13  1  0.221  0.653  0.364  1.0
  Co  Co14  1  0.929  0.787  0.206  1.0
  Co  Co15  1  0.646  0.925  0.068  1.0
  Co  Co16  1  0.286  0.862  0.143  1.0
  O  O17  1  0.905  0.996  0.199  1.0
  O  O18  1  0.796  0.127  0.665  1.0
  O  O19  1  0.443  0.075  0.745  1.0
  O  O20  1  0.981  0.243  0.967  1.0
  O  O21  1  0.296  0.080  0.133  1.0
  O  O22  1  0.706  0.366  0.834  1.0
  O  O23  1  0.631  0.148  0.050  1.0
  O  O24  1  0.343  0.297  0.910  1.0
  O  O25  1  0.507  0.277  0.524  1.0
  O  O26  1  0.161  0.213  0.597  1.0
  O  O27  1  0.871  0.345  0.451  1.0
  O  O28  1  0.050  0.435  0.764  1.0
  O  O29  1  0.412  0.511  0.692  1.0
  O  O30  1  0.779  0.578  0.620  1.0
  O  O31  1  0.230  0.425  0.384  1.0
  O  O32  1  0.586  0.488  0.308  1.0
  O  O33  1  0.951  0.566  0.237  1.0
  O  O34  1  0.125  0.652  0.553  1.0
  O  O35  1  0.840  0.784  0.401  1.0
  O  O36  1  0.495  0.725  0.477  1.0
  O  O37  1  0.656  0.703  0.088  1.0
  O  O38  1  0.367  0.852  0.948  1.0
  O  O39  1  0.295  0.635  0.169  1.0
  O  O40  1  0.706  0.922  0.867  1.0
  O  O41  1  0.024  0.753  0.028  1.0
  O  O42  1  0.560  0.926  0.255  1.0
  O  O43  1  0.202  0.871  0.336  1.0
  O  O44  1  0.093  0.997  0.797  1.0
[/CIF]
.
The material described by Li4Co13O28 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(1), one O(10), one O(15), one O(27), one O(5), and one O(9) atom to form distorted LiO6 octahedra that share  a cornercorner with one Co(12)O6 octahedra,  a cornercorner with one Co(2)O6 octahedra,  a cornercorner with one Co(3)O6 octahedra,  a cornercorner with one Co(4)O6 octahedra, corners with two equivalent Co(10)O6 octahedra,  an edgeedge with one Co(11)O6 octahedra,  an edgeedge with one Co(13)O6 octahedra,  an edgeedge with one Co(5)O6 octahedra,  an edgeedge with one Co(6)O6 octahedra, and  an edgeedge with one Co(7)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-19°. In the second Li site, Li(2) is bonded to one O(12), one O(17), one O(23), one O(25), one O(4), and one O(6) atom to form distorted LiO6 octahedra that share  a cornercorner with one Co(5)O6 octahedra,  a cornercorner with one Co(6)O6 octahedra,  a cornercorner with one Co(8)O6 octahedra,  a cornercorner with one Co(9)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Co(10)O6 octahedra,  an edgeedge with one Co(11)O6 octahedra,  an edgeedge with one Co(13)O6 octahedra,  an edgeedge with one Co(3)O6 octahedra, and  an edgeedge with one Co(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 13-17°. In the third Li site, Li(3) is bonded to one O(14), one O(19), one O(2), one O(20), one O(24), and one O(28) atom to form distorted LiO6 octahedra that share  a cornercorner with one Co(10)O6 octahedra,  a cornercorner with one Co(11)O6 octahedra,  a cornercorner with one Co(12)O6 octahedra,  a cornercorner with one Co(2)O6 octahedra, corners with two equivalent Co(4)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Co(3)O6 octahedra,  an edgeedge with one Co(7)O6 octahedra,  an edgeedge with one Co(8)O6 octahedra, and  an edgeedge with one Co(9)O6 octahedra. The corner-sharing octahedral tilt angles range from 10-18°. In the fourth Li site, Li(4) is bonded to one O(12), one O(14), one O(18), one O(22), one O(25), and one O(28) atom to form distorted LiO6 octahedra that share  a cornercorner with one Co(10)O6 octahedra,  a cornercorner with one Co(11)O6 octahedra,  a cornercorner with one Co(12)O6 octahedra,  a cornercorner with one Co(7)O6 octahedra, corners with two equivalent Co(3)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Co(13)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra,  an edgeedge with one Co(4)O6 octahedra,  an edgeedge with one Co(6)O6 octahedra, and  an edgeedge with one Co(8)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-18°. There are thirteen inequivalent Co sites. In the first Co site, Co(1) is bonded to one O(2), one O(24), one O(3), one O(4), one O(6), and one O(7) atom to form CoO6 octahedra that share  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Co(12)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra,  an edgeedge with one Co(3)O6 octahedra,  an edgeedge with one Co(4)O6 octahedra, and  an edgeedge with one Co(5)O6 octahedra. In the second Co site, Co(2) is bonded to one O(22), one O(28), one O(3), one O(5), one O(7), and one O(8) atom to form CoO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner with one Li(3)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Co(12)O6 octahedra,  an edgeedge with one Co(13)O6 octahedra,  an edgeedge with one Co(3)O6 octahedra, and  an edgeedge with one Co(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 10-19°. In the third Co site, Co(3) is bonded to one O(10), one O(12), one O(2), one O(28), one O(4), and one O(8) atom to form CoO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra, corners with two equivalent Li(4)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra,  an edgeedge with one Co(4)O6 octahedra,  an edgeedge with one Co(5)O6 octahedra, and  an edgeedge with one Co(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-16°. In the fourth Co site, Co(4) is bonded to one O(11), one O(12), one O(14), one O(2), one O(6), and one O(9) atom to form CoO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra, corners with two equivalent Li(3)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Co(3)O6 octahedra,  an edgeedge with one Co(5)O6 octahedra,  an edgeedge with one Co(6)O6 octahedra,  an edgeedge with one Co(7)O6 octahedra, and  an edgeedge with one Co(8)O6 octahedra. The corner-sharing octahedral tilt angles range from 10-16°. In the fifth Co site, Co(5) is bonded to one O(10), one O(13), one O(3), one O(6), one O(8), and one O(9) atom to form CoO6 octahedra that share  a cornercorner with one Li(2)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra,  an edgeedge with one Co(3)O6 octahedra,  an edgeedge with one Co(4)O6 octahedra,  an edgeedge with one Co(6)O6 octahedra, and  an edgeedge with one Co(7)O6 octahedra. The corner-sharing octahedral tilt angles are 16°. In the sixth Co site, Co(6) is bonded to one O(10), one O(11), one O(12), one O(13), one O(15), and one O(18) atom to form CoO6 octahedra that share  a cornercorner with one Li(2)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Co(10)O6 octahedra,  an edgeedge with one Co(3)O6 octahedra,  an edgeedge with one Co(4)O6 octahedra,  an edgeedge with one Co(5)O6 octahedra,  an edgeedge with one Co(7)O6 octahedra, and  an edgeedge with one Co(8)O6 octahedra. The corner-sharing octahedral tilt angles are 13°. In the seventh Co site, Co(7) is bonded to one O(13), one O(14), one O(15), one O(16), one O(20), and one O(9) atom to form CoO6 octahedra that share  a cornercorner with one Li(4)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Co(10)O6 octahedra,  an edgeedge with one Co(4)O6 octahedra,  an edgeedge with one Co(5)O6 octahedra,  an edgeedge with one Co(6)O6 octahedra,  an edgeedge with one Co(8)O6 octahedra, and  an edgeedge with one Co(9)O6 octahedra. The corner-sharing octahedral tilt angles are 16°. In the eighth Co site, Co(8) is bonded to one O(11), one O(14), one O(16), one O(17), one O(18), and one O(19) atom to form CoO6 octahedra that share  a cornercorner with one Li(2)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Co(10)O6 octahedra,  an edgeedge with one Co(11)O6 octahedra,  an edgeedge with one Co(4)O6 octahedra,  an edgeedge with one Co(6)O6 octahedra,  an edgeedge with one Co(7)O6 octahedra, and  an edgeedge with one Co(9)O6 octahedra. The corner-sharing octahedral tilt angles are 17°. In the ninth Co site, Co(9) is bonded to one O(16), one O(19), one O(20), one O(21), one O(23), and one O(26) atom to form CoO6 octahedra that share  a cornercorner with one Li(2)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Co(10)O6 octahedra,  an edgeedge with one Co(11)O6 octahedra,  an edgeedge with one Co(12)O6 octahedra,  an edgeedge with one Co(13)O6 octahedra,  an edgeedge with one Co(7)O6 octahedra, and  an edgeedge with one Co(8)O6 octahedra. The corner-sharing octahedral tilt angles are 16°. In the tenth Co site, Co(10) is bonded to one O(15), one O(17), one O(18), one O(20), one O(23), and one O(27) atom to form CoO6 octahedra that share  a cornercorner with one Li(3)O6 octahedra,  a cornercorner with one Li(4)O6 octahedra, corners with two equivalent Li(1)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Co(11)O6 octahedra,  an edgeedge with one Co(13)O6 octahedra,  an edgeedge with one Co(6)O6 octahedra,  an edgeedge with one Co(7)O6 octahedra,  an edgeedge with one Co(8)O6 octahedra, and  an edgeedge with one Co(9)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-18°. In the eleventh Co site, Co(11) is bonded to one O(1), one O(17), one O(19), one O(21), one O(25), and one O(27) atom to form CoO6 octahedra that share  a cornercorner with one Li(3)O6 octahedra,  a cornercorner with one Li(4)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Co(10)O6 octahedra,  an edgeedge with one Co(12)O6 octahedra,  an edgeedge with one Co(13)O6 octahedra,  an edgeedge with one Co(8)O6 octahedra, and  an edgeedge with one Co(9)O6 octahedra. The corner-sharing octahedral tilt angles range from 13-16°. In the twelfth Co site, Co(12) is bonded to one O(1), one O(21), one O(22), one O(24), one O(26), and one O(7) atom to form CoO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner with one Li(3)O6 octahedra,  a cornercorner with one Li(4)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Co(11)O6 octahedra,  an edgeedge with one Co(13)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra, and  an edgeedge with one Co(9)O6 octahedra. The corner-sharing octahedral tilt angles range from 11-17°. In the thirteenth Co site, Co(13) is bonded to one O(22), one O(23), one O(25), one O(26), one O(27), and one O(5) atom to form CoO6 octahedra that share  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Co(10)O6 octahedra,  an edgeedge with one Co(11)O6 octahedra,  an edgeedge with one Co(12)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra, and  an edgeedge with one Co(9)O6 octahedra. There are twenty-eight inequivalent O sites. In the first O site, O(1) is bonded in a T-shaped geometry to one Li(1), one Co(11), and one Co(12) atom. In the second O site, O(2) is bonded in a rectangular see-saw-like geometry to one Li(3), one Co(1), one Co(3), and one Co(4) atom. In the third O site, O(3) is bonded in a distorted trigonal non-coplanar geometry to one Co(1), one Co(2), and one Co(5) atom. In the fourth O site, O(4) is bonded in a trigonal non-coplanar geometry to one Li(2), one Co(1), and one Co(3) atom. In the fifth O site, O(5) is bonded in a T-shaped geometry to one Li(1), one Co(13), and one Co(2) atom. In the sixth O site, O(6) is bonded in a rectangular see-saw-like geometry to one Li(2), one Co(1), one Co(4), and one Co(5) atom. In the seventh O site, O(7) is bonded in a distorted T-shaped geometry to one Co(1), one Co(12), and one Co(2) atom. In the eighth O site, O(8) is bonded in a distorted T-shaped geometry to one Co(2), one Co(3), and one Co(5) atom. In the ninth O site, O(9) is bonded in a rectangular see-saw-like geometry to one Li(1), one Co(4), one Co(5), and one Co(7) atom. In the tenth O site, O(10) is bonded in a rectangular see-saw-like geometry to one Li(1), one Co(3), one Co(5), and one Co(6) atom. In the eleventh O site, O(11) is bonded in a distorted T-shaped geometry to one Co(4), one Co(6), and one Co(8) atom. In the twelfth O site, O(12) is bonded to one Li(2), one Li(4), one Co(3), one Co(4), and one Co(6) atom to form OLi2Co3 square pyramids that share  a cornercorner with one O(15)LiCo3 trigonal pyramid and  an edgeedge with one O(14)Li2Co3 square pyramid. In the thirteenth O site, O(13) is bonded in a distorted T-shaped geometry to one Co(5), one Co(6), and one Co(7) atom. In the fourteenth O site, O(14) is bonded to one Li(3), one Li(4), one Co(4), one Co(7), and one Co(8) atom to form OLi2Co3 square pyramids that share  a cornercorner with one O(15)LiCo3 trigonal pyramid,  an edgeedge with one O(12)Li2Co3 square pyramid, and  an edgeedge with one O(20)LiCo3 trigonal pyramid. In the fifteenth O site, O(15) is bonded to one Li(1), one Co(10), one Co(6), and one Co(7) atom to form OLiCo3 trigonal pyramids that share  a cornercorner with one O(12)Li2Co3 square pyramid,  a cornercorner with one O(14)Li2Co3 square pyramid, and  an edgeedge with one O(20)LiCo3 trigonal pyramid. In the sixteenth O site, O(16) is bonded in a distorted T-shaped geometry to one Co(7), one Co(8), and one Co(9) atom. In the seventeenth O site, O(17) is bonded in a rectangular see-saw-like geometry to one Li(2), one Co(10), one Co(11), and one Co(8) atom. In the eighteenth O site, O(18) is bonded in a rectangular see-saw-like geometry to one Li(4), one Co(10), one Co(6), and one Co(8) atom. In the nineteenth O site, O(19) is bonded in a rectangular see-saw-like geometry to one Li(3), one Co(11), one Co(8), and one Co(9) atom. In the twentieth O site, O(20) is bonded to one Li(3), one Co(10), one Co(7), and one Co(9) atom to form OLiCo3 trigonal pyramids that share  an edgeedge with one O(14)Li2Co3 square pyramid and  an edgeedge with one O(15)LiCo3 trigonal pyramid. In the twenty-first O site, O(21) is bonded in a distorted T-shaped geometry to one Co(11), one Co(12), and one Co(9) atom. In the twenty-second O site, O(22) is bonded in a rectangular see-saw-like geometry to one Li(4), one Co(12), one Co(13), and one Co(2) atom. In the twenty-third O site, O(23) is bonded in a rectangular see-saw-like geometry to one Li(2), one Co(10), one Co(13), and one Co(9) atom. In the twenty-fourth O site, O(24) is bonded in a T-shaped geometry to one Li(3), one Co(1), and one Co(12) atom. In the twenty-fifth O site, O(25) is bonded in a rectangular see-saw-like geometry to one Li(2), one Li(4), one Co(11), and one Co(13) atom. In the twenty-sixth O site, O(26) is bonded in a distorted trigonal non-coplanar geometry to one Co(12), one Co(13), and one Co(9) atom. In the twenty-seventh O site, O(27) is bonded in a rectangular see-saw-like geometry to one Li(1), one Co(10), one Co(11), and one Co(13) atom. In the twenty-eighth O site, O(28) is bonded in a rectangular see-saw-like geometry to one Li(3), one Li(4), one Co(2), and one Co(3) atom. is represented by the CIF file [CIF]
data_Li4Co13O28
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   7.447
_cell_length_b   8.226
_cell_length_c   8.516
_cell_angle_alpha   100.708
_cell_angle_beta   104.533
_cell_angle_gamma   105.474
_symmetry_Int_Tables_number   1
_cell_volume   468.478
_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  0.198  0.146  0.329  1.0
  Li  Li1  1  0.998  0.495  0.010  1.0
  Li  Li2  1  0.778  0.865  0.653  1.0
  Li  Li3  1  0.081  0.733  0.794  1.0
  Co  Co4  1  0.718  0.140  0.863  1.0
  Co  Co5  1  0.356  0.077  0.937  1.0
  Co  Co6  1  0.072  0.209  0.790  1.0
  Co  Co7  1  0.779  0.348  0.636  1.0
  Co  Co8  1  0.431  0.294  0.722  1.0
  Co  Co9  1  0.144  0.431  0.574  1.0
  Co  Co10  1  0.501  0.501  0.501  1.0
  Co  Co11  1  0.853  0.563  0.421  1.0
  Co  Co12  1  0.569  0.705  0.278  1.0
  Co  Co13  1  0.221  0.653  0.364  1.0
  Co  Co14  1  0.929  0.787  0.206  1.0
  Co  Co15  1  0.646  0.925  0.068  1.0
  Co  Co16  1  0.286  0.862  0.143  1.0
  O  O17  1  0.905  0.996  0.199  1.0
  O  O18  1  0.796  0.127  0.665  1.0
  O  O19  1  0.443  0.075  0.745  1.0
  O  O20  1  0.981  0.243  0.967  1.0
  O  O21  1  0.296  0.080  0.133  1.0
  O  O22  1  0.706  0.366  0.834  1.0
  O  O23  1  0.631  0.148  0.050  1.0
  O  O24  1  0.343  0.297  0.910  1.0
  O  O25  1  0.507  0.277  0.524  1.0
  O  O26  1  0.161  0.213  0.597  1.0
  O  O27  1  0.871  0.345  0.451  1.0
  O  O28  1  0.050  0.435  0.764  1.0
  O  O29  1  0.412  0.511  0.692  1.0
  O  O30  1  0.779  0.578  0.620  1.0
  O  O31  1  0.230  0.425  0.384  1.0
  O  O32  1  0.586  0.488  0.308  1.0
  O  O33  1  0.951  0.566  0.237  1.0
  O  O34  1  0.125  0.652  0.553  1.0
  O  O35  1  0.840  0.784  0.401  1.0
  O  O36  1  0.495  0.725  0.477  1.0
  O  O37  1  0.656  0.703  0.088  1.0
  O  O38  1  0.367  0.852  0.948  1.0
  O  O39  1  0.295  0.635  0.169  1.0
  O  O40  1  0.706  0.922  0.867  1.0
  O  O41  1  0.024  0.753  0.028  1.0
  O  O42  1  0.560  0.926  0.255  1.0
  O  O43  1  0.202  0.871  0.336  1.0
  O  O44  1  0.093  0.997  0.797  1.0
[/CIF]
.