The material structure 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(2), one O(20), one O(3), one O(4), and one O(7) atom to form LiO6 octahedra that share  a cornercorner with one Co(11)O6 octahedra,  a cornercorner with one Co(13)O6 octahedra,  a cornercorner with one Co(4)O6 octahedra,  a cornercorner with one Co(7)O6 octahedra, corners with two equivalent Co(1)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Co(10)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, and  an edgeedge with one Co(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 9-17°. In the second Li site, Li(2) is bonded to one O(15), one O(16), one O(28), one O(5), one O(8), and one O(9) atom to form LiO6 octahedra that share  a cornercorner with one Co(1)O6 octahedra,  a cornercorner with one Co(10)O6 octahedra,  a cornercorner with one Co(11)O6 octahedra,  a cornercorner with one Co(3)O6 octahedra, corners with two equivalent Co(4)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Co(13)O6 octahedra,  an edgeedge with one Co(2)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 10-18°. In the third Li site, Li(3) is bonded to one O(10), one O(14), one O(17), one O(20), one O(23), and one O(7) atom to form 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(6)O6 octahedra,  a cornercorner with one Co(9)O6 octahedra, corners with two equivalent Co(8)O6 octahedra,  an edgeedge with one Li(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(5)O6 octahedra, and  an edgeedge with one Co(7)O6 octahedra. The corner-sharing octahedral tilt angles range from 8-15°. In the fourth Li site, Li(4) is bonded to one O(22), one O(25), one O(26), one O(27), one O(28), and one O(9) atom to form LiO6 octahedra that share  a cornercorner with one Co(1)O6 octahedra,  a cornercorner with one Co(10)O6 octahedra,  a cornercorner with one Co(3)O6 octahedra,  a cornercorner with one Co(7)O6 octahedra, corners with two equivalent Co(13)O6 octahedra,  an edgeedge with one Li(2)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,  an edgeedge with one Co(4)O6 octahedra, and  an edgeedge with one Co(8)O6 octahedra. The corner-sharing octahedral tilt angles range from 10-19°. There are thirteen inequivalent Co sites. In the first Co site, Co(1) is bonded to one O(1), one O(2), one O(21), one O(22), one O(5), and one O(6) atom to form CoO6 octahedra that share  a cornercorner with one Li(2)O6 octahedra,  a cornercorner with one Li(4)O6 octahedra, corners with two equivalent Li(1)O6 octahedra,  an edgeedge with one Co(10)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra,  an edgeedge with one Co(3)O6 octahedra,  an edgeedge with one Co(5)O6 octahedra, and  an edgeedge with one Co(8)O6 octahedra. The corner-sharing octahedral tilt angles range from 11-17°. In the second Co site, Co(2) is bonded to one O(10), one O(2), one O(26), one O(3), one O(5), and one O(9) atom to form CoO6 octahedra that share  a cornercorner with one Li(3)O6 octahedra,  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(1)O6 octahedra,  an edgeedge with one Co(10)O6 octahedra,  an edgeedge with one Co(12)O6 octahedra,  an edgeedge with one Co(4)O6 octahedra,  an edgeedge with one Co(5)O6 octahedra, and  an edgeedge with one Co(7)O6 octahedra. The corner-sharing octahedral tilt angles are 15°. In the third Co site, Co(3) is bonded to one O(1), one O(11), one O(15), one O(25), one O(4), and one O(6) atom to form CoO6 octahedra that share  a cornercorner with one Li(2)O6 octahedra,  a cornercorner with one Li(4)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Co(11)O6 octahedra,  an edgeedge with one Co(5)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 12-14°. In the fourth Co site, Co(4) is bonded to one O(12), one O(13), one O(27), one O(3), one O(8), and one O(9) atom to form CoO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra, corners with two equivalent Li(2)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Co(12)O6 octahedra,  an edgeedge with one Co(13)O6 octahedra,  an edgeedge with one Co(2)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 range from 12-17°. In the fifth Co site, Co(5) is bonded to one O(10), one O(11), one O(16), one O(17), one O(5), and one O(6) 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(1)O6 octahedra,  an edgeedge with one Co(10)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra,  an edgeedge with one Co(3)O6 octahedra,  an edgeedge with one Co(7)O6 octahedra, and  an edgeedge with one Co(8)O6 octahedra. In the sixth Co site, Co(6) is bonded to one O(12), one O(15), one O(18), one O(4), one O(7), and one O(8) atom to form CoO6 octahedra that share  a cornercorner with one Li(3)O6 octahedra,  an edgeedge with one 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(3)O6 octahedra,  an edgeedge with one Co(4)O6 octahedra, and  an edgeedge with one Co(9)O6 octahedra. The corner-sharing octahedral tilt angles are 8°. In the seventh Co site, Co(7) is bonded to one O(10), one O(13), one O(16), one O(19), one O(20), and one O(9) atom to form CoO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner with one 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(10)O6 octahedra,  an edgeedge with one Co(12)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(9)O6 octahedra. The corner-sharing octahedral tilt angles range from 14-15°. In the eighth Co site, Co(8) is bonded to one O(11), one O(14), one O(17), one O(21), one O(22), and one O(25) atom to form CoO6 octahedra that share corners with two equivalent 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(10)O6 octahedra,  an edgeedge with one Co(11)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 11-14°. In the ninth Co site, Co(9) is bonded to one O(12), one O(13), one O(18), one O(19), one O(23), and one O(24) atom to form CoO6 octahedra that share  a cornercorner with one Li(3)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(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 10°. In the tenth Co site, Co(10) is bonded to one O(16), one O(17), one O(2), one O(20), one O(21), and one O(26) atom to form CoO6 octahedra that share  a cornercorner with one Li(2)O6 octahedra,  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(1)O6 octahedra,  an edgeedge with one Co(12)O6 octahedra,  an edgeedge with one Co(2)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 range from 16-18°. In the eleventh Co site, Co(11) is bonded to one O(14), one O(18), one O(23), one O(25), one O(28), and one O(4) atom to form CoO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra,  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(13)O6 octahedra,  an edgeedge with one Co(3)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 range from 10-12°. In the twelfth Co site, Co(12) is bonded to one O(19), one O(20), one O(24), one O(26), one O(27), and one O(3) atom to form CoO6 octahedra that share  a cornercorner with one Li(3)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(13)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra,  an edgeedge with one Co(4)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 15°. In the thirteenth Co site, Co(13) is bonded to one O(23), one O(24), one O(27), one O(28), one O(7), 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(11)O6 octahedra,  an edgeedge with one Co(12)O6 octahedra,  an edgeedge with one Co(4)O6 octahedra,  an edgeedge with one Co(6)O6 octahedra, and  an edgeedge with one Co(9)O6 octahedra. The corner-sharing octahedral tilt angles range from 9-19°. 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(1), and one Co(3) atom. In the second O site, O(2) is bonded in a distorted rectangular see-saw-like geometry to one Li(1), one Co(1), one Co(10), and one Co(2) atom. In the third O site, O(3) is bonded to one Li(1), one Co(12), one Co(2), and one Co(4) atom to form OLiCo3 trigonal pyramids that share  an edgeedge with one O(20)Li2Co3 square pyramid,  an edgeedge with one O(9)Li2Co3 square pyramid, and  an edgeedge with one O(27)LiCo3 trigonal pyramid. In the fourth O site, O(4) is bonded in a rectangular see-saw-like geometry to one Li(1), one Co(11), one Co(3), and one Co(6) atom. In the fifth O site, O(5) is bonded in a rectangular see-saw-like geometry to one Li(2), one Co(1), one Co(2), and one Co(5) atom. In the sixth O site, O(6) is bonded in a distorted T-shaped geometry to one Co(1), one Co(3), and one Co(5) atom. In the seventh O site, O(7) is bonded in a rectangular see-saw-like geometry to one Li(1), one Li(3), one Co(13), and one Co(6) atom. In the eighth O site, O(8) is bonded in a rectangular see-saw-like geometry to one Li(2), one Co(13), one Co(4), and one Co(6) atom. In the ninth O site, O(9) is bonded to one Li(2), one Li(4), one Co(2), one Co(4), and one Co(7) atom to form OLi2Co3 square pyramids that share  a cornercorner with one O(20)Li2Co3 square pyramid,  an edgeedge with one O(27)LiCo3 trigonal pyramid, and  an edgeedge with one O(3)LiCo3 trigonal pyramid. In the tenth O site, O(10) is bonded in a rectangular see-saw-like geometry to one Li(3), one Co(2), one Co(5), and one Co(7) atom. In the eleventh O site, O(11) is bonded in a distorted trigonal non-coplanar geometry to one Co(3), one Co(5), and one Co(8) atom. In the twelfth O site, O(12) is bonded in a distorted T-shaped geometry to one Co(4), one Co(6), and one Co(9) atom. In the thirteenth O site, O(13) is bonded in a distorted T-shaped geometry to one Co(4), one Co(7), and one Co(9) atom. In the fourteenth O site, O(14) is bonded in a T-shaped geometry to one Li(3), one Co(11), and one Co(8) atom. In the fifteenth O site, O(15) is bonded in a T-shaped geometry to one Li(2), one Co(3), and one Co(6) atom. In the sixteenth O site, O(16) is bonded in a rectangular see-saw-like geometry to one Li(2), one Co(10), one Co(5), and one Co(7) atom. In the seventeenth O site, O(17) is bonded in a rectangular see-saw-like geometry to one Li(3), one Co(10), one Co(5), and one Co(8) atom. In the eighteenth O site, O(18) is bonded in a distorted trigonal non-coplanar geometry to one Co(11), one Co(6), and one Co(9) atom. In the nineteenth O site, O(19) is bonded in a distorted T-shaped geometry to one Co(12), one Co(7), and one Co(9) atom. In the twentieth O site, O(20) is bonded to one Li(1), one Li(3), one Co(10), one Co(12), and one Co(7) atom to form OLi2Co3 square pyramids that share  a cornercorner with one O(9)Li2Co3 square pyramid,  a cornercorner with one O(27)LiCo3 trigonal pyramid, and  an edgeedge with one O(3)LiCo3 trigonal pyramid. In the twenty-first O site, O(21) is bonded in a distorted T-shaped geometry to one Co(1), one Co(10), and one Co(8) atom. In the twenty-second O site, O(22) is bonded in a T-shaped geometry to one Li(4), one Co(1), and one Co(8) atom. In the twenty-third O site, O(23) is bonded in a rectangular see-saw-like geometry to one Li(3), one Co(11), one Co(13), and one Co(9) atom. In the twenty-fourth O site, O(24) is bonded in a distorted T-shaped geometry to one Co(12), one Co(13), and one Co(9) atom. In the twenty-fifth O site, O(25) is bonded in a rectangular see-saw-like geometry to one Li(4), one Co(11), one Co(3), and one Co(8) atom. In the twenty-sixth O site, O(26) is bonded in a rectangular see-saw-like geometry to one Li(4), one Co(10), one Co(12), and one Co(2) atom. In the twenty-seventh O site, O(27) is bonded to one Li(4), one Co(12), one Co(13), and one Co(4) atom to form OLiCo3 trigonal pyramids that share  a cornercorner with one O(20)Li2Co3 square pyramid,  an edgeedge with one O(9)Li2Co3 square pyramid, and  an edgeedge with one O(3)LiCo3 trigonal pyramid. In the twenty-eighth O site, O(28) is bonded in a rectangular see-saw-like geometry to one Li(2), one Li(4), one Co(11), and one Co(13) atom. is represented by the CIF card [CIF]
data_Li4Co13O28
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   7.478
_cell_length_b   8.120
_cell_length_c   8.608
_cell_angle_alpha   100.215
_cell_angle_beta   104.301
_cell_angle_gamma   104.949
_symmetry_Int_Tables_number   1
_cell_volume   472.861
_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  0.917  0.269  0.209  1.0
  Li  Li1  1  0.779  0.865  0.650  1.0
  Li  Li2  1  0.288  0.343  0.140  1.0
  Li  Li3  1  0.078  0.716  0.804  1.0
  Co  Co4  1  0.932  0.791  0.208  1.0
  Co  Co5  1  0.855  0.571  0.425  1.0
  Co  Co6  1  0.642  0.918  0.057  1.0
  Co  Co7  1  0.781  0.349  0.635  1.0
  Co  Co8  1  0.570  0.714  0.282  1.0
  Co  Co9  1  0.720  0.145  0.860  1.0
  Co  Co10  1  0.500  0.500  0.499  1.0
  Co  Co11  1  0.286  0.866  0.145  1.0
  Co  Co12  1  0.431  0.290  0.719  1.0
  Co  Co13  1  0.220  0.657  0.367  1.0
  Co  Co14  1  0.353  0.071  0.931  1.0
  Co  Co15  1  0.143  0.428  0.571  1.0
  Co  Co16  1  0.072  0.212  0.791  1.0
  O  O17  1  0.893  0.998  0.195  1.0
  O  O18  1  0.951  0.563  0.246  1.0
  O  O19  1  0.874  0.349  0.446  1.0
  O  O20  1  0.632  0.146  0.050  1.0
  O  O21  1  0.836  0.788  0.402  1.0
  O  O22  1  0.660  0.704  0.091  1.0
  O  O23  1  0.981  0.240  0.972  1.0
  O  O24  1  0.801  0.129  0.667  1.0
  O  O25  1  0.777  0.582  0.616  1.0
  O  O26  1  0.584  0.492  0.306  1.0
  O  O27  1  0.556  0.932  0.250  1.0
  O  O28  1  0.703  0.365  0.827  1.0
  O  O29  1  0.516  0.277  0.530  1.0
  O  O30  1  0.297  0.086  0.124  1.0
  O  O31  1  0.701  0.916  0.869  1.0
  O  O32  1  0.493  0.728  0.475  1.0
  O  O33  1  0.300  0.636  0.175  1.0
  O  O34  1  0.451  0.072  0.748  1.0
  O  O35  1  0.409  0.508  0.688  1.0
  O  O36  1  0.227  0.424  0.377  1.0
  O  O37  1  0.199  0.871  0.335  1.0
  O  O38  1  0.026  0.767  0.036  1.0
  O  O39  1  0.341  0.298  0.911  1.0
  O  O40  1  0.163  0.211  0.603  1.0
  O  O41  1  0.363  0.844  0.950  1.0
  O  O42  1  0.123  0.651  0.551  1.0
  O  O43  1  0.050  0.435  0.756  1.0
  O  O44  1  0.099  0.998  0.798  1.0
[/CIF]
.
The material structure 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(2), one O(20), one O(3), one O(4), and one O(7) atom to form LiO6 octahedra that share  a cornercorner with one Co(11)O6 octahedra,  a cornercorner with one Co(13)O6 octahedra,  a cornercorner with one Co(4)O6 octahedra,  a cornercorner with one Co(7)O6 octahedra, corners with two equivalent Co(1)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Co(10)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, and  an edgeedge with one Co(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 9-17°. In the second Li site, Li(2) is bonded to one O(15), one O(16), one O(28), one O(5), one O(8), and one O(9) atom to form LiO6 octahedra that share  a cornercorner with one Co(1)O6 octahedra,  a cornercorner with one Co(10)O6 octahedra,  a cornercorner with one Co(11)O6 octahedra,  a cornercorner with one Co(3)O6 octahedra, corners with two equivalent Co(4)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Co(13)O6 octahedra,  an edgeedge with one Co(2)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 10-18°. In the third Li site, Li(3) is bonded to one O(10), one O(14), one O(17), one O(20), one O(23), and one O(7) atom to form 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(6)O6 octahedra,  a cornercorner with one Co(9)O6 octahedra, corners with two equivalent Co(8)O6 octahedra,  an edgeedge with one Li(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(5)O6 octahedra, and  an edgeedge with one Co(7)O6 octahedra. The corner-sharing octahedral tilt angles range from 8-15°. In the fourth Li site, Li(4) is bonded to one O(22), one O(25), one O(26), one O(27), one O(28), and one O(9) atom to form LiO6 octahedra that share  a cornercorner with one Co(1)O6 octahedra,  a cornercorner with one Co(10)O6 octahedra,  a cornercorner with one Co(3)O6 octahedra,  a cornercorner with one Co(7)O6 octahedra, corners with two equivalent Co(13)O6 octahedra,  an edgeedge with one Li(2)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,  an edgeedge with one Co(4)O6 octahedra, and  an edgeedge with one Co(8)O6 octahedra. The corner-sharing octahedral tilt angles range from 10-19°. There are thirteen inequivalent Co sites. In the first Co site, Co(1) is bonded to one O(1), one O(2), one O(21), one O(22), one O(5), and one O(6) atom to form CoO6 octahedra that share  a cornercorner with one Li(2)O6 octahedra,  a cornercorner with one Li(4)O6 octahedra, corners with two equivalent Li(1)O6 octahedra,  an edgeedge with one Co(10)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra,  an edgeedge with one Co(3)O6 octahedra,  an edgeedge with one Co(5)O6 octahedra, and  an edgeedge with one Co(8)O6 octahedra. The corner-sharing octahedral tilt angles range from 11-17°. In the second Co site, Co(2) is bonded to one O(10), one O(2), one O(26), one O(3), one O(5), and one O(9) atom to form CoO6 octahedra that share  a cornercorner with one Li(3)O6 octahedra,  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(1)O6 octahedra,  an edgeedge with one Co(10)O6 octahedra,  an edgeedge with one Co(12)O6 octahedra,  an edgeedge with one Co(4)O6 octahedra,  an edgeedge with one Co(5)O6 octahedra, and  an edgeedge with one Co(7)O6 octahedra. The corner-sharing octahedral tilt angles are 15°. In the third Co site, Co(3) is bonded to one O(1), one O(11), one O(15), one O(25), one O(4), and one O(6) atom to form CoO6 octahedra that share  a cornercorner with one Li(2)O6 octahedra,  a cornercorner with one Li(4)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Co(11)O6 octahedra,  an edgeedge with one Co(5)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 12-14°. In the fourth Co site, Co(4) is bonded to one O(12), one O(13), one O(27), one O(3), one O(8), and one O(9) atom to form CoO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra, corners with two equivalent Li(2)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Co(12)O6 octahedra,  an edgeedge with one Co(13)O6 octahedra,  an edgeedge with one Co(2)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 range from 12-17°. In the fifth Co site, Co(5) is bonded to one O(10), one O(11), one O(16), one O(17), one O(5), and one O(6) 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(1)O6 octahedra,  an edgeedge with one Co(10)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra,  an edgeedge with one Co(3)O6 octahedra,  an edgeedge with one Co(7)O6 octahedra, and  an edgeedge with one Co(8)O6 octahedra. In the sixth Co site, Co(6) is bonded to one O(12), one O(15), one O(18), one O(4), one O(7), and one O(8) atom to form CoO6 octahedra that share  a cornercorner with one Li(3)O6 octahedra,  an edgeedge with one 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(3)O6 octahedra,  an edgeedge with one Co(4)O6 octahedra, and  an edgeedge with one Co(9)O6 octahedra. The corner-sharing octahedral tilt angles are 8°. In the seventh Co site, Co(7) is bonded to one O(10), one O(13), one O(16), one O(19), one O(20), and one O(9) atom to form CoO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner with one 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(10)O6 octahedra,  an edgeedge with one Co(12)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(9)O6 octahedra. The corner-sharing octahedral tilt angles range from 14-15°. In the eighth Co site, Co(8) is bonded to one O(11), one O(14), one O(17), one O(21), one O(22), and one O(25) atom to form CoO6 octahedra that share corners with two equivalent 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(10)O6 octahedra,  an edgeedge with one Co(11)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 11-14°. In the ninth Co site, Co(9) is bonded to one O(12), one O(13), one O(18), one O(19), one O(23), and one O(24) atom to form CoO6 octahedra that share  a cornercorner with one Li(3)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(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 10°. In the tenth Co site, Co(10) is bonded to one O(16), one O(17), one O(2), one O(20), one O(21), and one O(26) atom to form CoO6 octahedra that share  a cornercorner with one Li(2)O6 octahedra,  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(1)O6 octahedra,  an edgeedge with one Co(12)O6 octahedra,  an edgeedge with one Co(2)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 range from 16-18°. In the eleventh Co site, Co(11) is bonded to one O(14), one O(18), one O(23), one O(25), one O(28), and one O(4) atom to form CoO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra,  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(13)O6 octahedra,  an edgeedge with one Co(3)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 range from 10-12°. In the twelfth Co site, Co(12) is bonded to one O(19), one O(20), one O(24), one O(26), one O(27), and one O(3) atom to form CoO6 octahedra that share  a cornercorner with one Li(3)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(13)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra,  an edgeedge with one Co(4)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 15°. In the thirteenth Co site, Co(13) is bonded to one O(23), one O(24), one O(27), one O(28), one O(7), 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(11)O6 octahedra,  an edgeedge with one Co(12)O6 octahedra,  an edgeedge with one Co(4)O6 octahedra,  an edgeedge with one Co(6)O6 octahedra, and  an edgeedge with one Co(9)O6 octahedra. The corner-sharing octahedral tilt angles range from 9-19°. 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(1), and one Co(3) atom. In the second O site, O(2) is bonded in a distorted rectangular see-saw-like geometry to one Li(1), one Co(1), one Co(10), and one Co(2) atom. In the third O site, O(3) is bonded to one Li(1), one Co(12), one Co(2), and one Co(4) atom to form OLiCo3 trigonal pyramids that share  an edgeedge with one O(20)Li2Co3 square pyramid,  an edgeedge with one O(9)Li2Co3 square pyramid, and  an edgeedge with one O(27)LiCo3 trigonal pyramid. In the fourth O site, O(4) is bonded in a rectangular see-saw-like geometry to one Li(1), one Co(11), one Co(3), and one Co(6) atom. In the fifth O site, O(5) is bonded in a rectangular see-saw-like geometry to one Li(2), one Co(1), one Co(2), and one Co(5) atom. In the sixth O site, O(6) is bonded in a distorted T-shaped geometry to one Co(1), one Co(3), and one Co(5) atom. In the seventh O site, O(7) is bonded in a rectangular see-saw-like geometry to one Li(1), one Li(3), one Co(13), and one Co(6) atom. In the eighth O site, O(8) is bonded in a rectangular see-saw-like geometry to one Li(2), one Co(13), one Co(4), and one Co(6) atom. In the ninth O site, O(9) is bonded to one Li(2), one Li(4), one Co(2), one Co(4), and one Co(7) atom to form OLi2Co3 square pyramids that share  a cornercorner with one O(20)Li2Co3 square pyramid,  an edgeedge with one O(27)LiCo3 trigonal pyramid, and  an edgeedge with one O(3)LiCo3 trigonal pyramid. In the tenth O site, O(10) is bonded in a rectangular see-saw-like geometry to one Li(3), one Co(2), one Co(5), and one Co(7) atom. In the eleventh O site, O(11) is bonded in a distorted trigonal non-coplanar geometry to one Co(3), one Co(5), and one Co(8) atom. In the twelfth O site, O(12) is bonded in a distorted T-shaped geometry to one Co(4), one Co(6), and one Co(9) atom. In the thirteenth O site, O(13) is bonded in a distorted T-shaped geometry to one Co(4), one Co(7), and one Co(9) atom. In the fourteenth O site, O(14) is bonded in a T-shaped geometry to one Li(3), one Co(11), and one Co(8) atom. In the fifteenth O site, O(15) is bonded in a T-shaped geometry to one Li(2), one Co(3), and one Co(6) atom. In the sixteenth O site, O(16) is bonded in a rectangular see-saw-like geometry to one Li(2), one Co(10), one Co(5), and one Co(7) atom. In the seventeenth O site, O(17) is bonded in a rectangular see-saw-like geometry to one Li(3), one Co(10), one Co(5), and one Co(8) atom. In the eighteenth O site, O(18) is bonded in a distorted trigonal non-coplanar geometry to one Co(11), one Co(6), and one Co(9) atom. In the nineteenth O site, O(19) is bonded in a distorted T-shaped geometry to one Co(12), one Co(7), and one Co(9) atom. In the twentieth O site, O(20) is bonded to one Li(1), one Li(3), one Co(10), one Co(12), and one Co(7) atom to form OLi2Co3 square pyramids that share  a cornercorner with one O(9)Li2Co3 square pyramid,  a cornercorner with one O(27)LiCo3 trigonal pyramid, and  an edgeedge with one O(3)LiCo3 trigonal pyramid. In the twenty-first O site, O(21) is bonded in a distorted T-shaped geometry to one Co(1), one Co(10), and one Co(8) atom. In the twenty-second O site, O(22) is bonded in a T-shaped geometry to one Li(4), one Co(1), and one Co(8) atom. In the twenty-third O site, O(23) is bonded in a rectangular see-saw-like geometry to one Li(3), one Co(11), one Co(13), and one Co(9) atom. In the twenty-fourth O site, O(24) is bonded in a distorted T-shaped geometry to one Co(12), one Co(13), and one Co(9) atom. In the twenty-fifth O site, O(25) is bonded in a rectangular see-saw-like geometry to one Li(4), one Co(11), one Co(3), and one Co(8) atom. In the twenty-sixth O site, O(26) is bonded in a rectangular see-saw-like geometry to one Li(4), one Co(10), one Co(12), and one Co(2) atom. In the twenty-seventh O site, O(27) is bonded to one Li(4), one Co(12), one Co(13), and one Co(4) atom to form OLiCo3 trigonal pyramids that share  a cornercorner with one O(20)Li2Co3 square pyramid,  an edgeedge with one O(9)Li2Co3 square pyramid, and  an edgeedge with one O(3)LiCo3 trigonal pyramid. In the twenty-eighth O site, O(28) is bonded in a rectangular see-saw-like geometry to one Li(2), one Li(4), one Co(11), and one Co(13) atom. is represented by the CIF card [CIF]
data_Li4Co13O28
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   7.478
_cell_length_b   8.120
_cell_length_c   8.608
_cell_angle_alpha   100.215
_cell_angle_beta   104.301
_cell_angle_gamma   104.949
_symmetry_Int_Tables_number   1
_cell_volume   472.861
_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  0.917  0.269  0.209  1.0
  Li  Li1  1  0.779  0.865  0.650  1.0
  Li  Li2  1  0.288  0.343  0.140  1.0
  Li  Li3  1  0.078  0.716  0.804  1.0
  Co  Co4  1  0.932  0.791  0.208  1.0
  Co  Co5  1  0.855  0.571  0.425  1.0
  Co  Co6  1  0.642  0.918  0.057  1.0
  Co  Co7  1  0.781  0.349  0.635  1.0
  Co  Co8  1  0.570  0.714  0.282  1.0
  Co  Co9  1  0.720  0.145  0.860  1.0
  Co  Co10  1  0.500  0.500  0.499  1.0
  Co  Co11  1  0.286  0.866  0.145  1.0
  Co  Co12  1  0.431  0.290  0.719  1.0
  Co  Co13  1  0.220  0.657  0.367  1.0
  Co  Co14  1  0.353  0.071  0.931  1.0
  Co  Co15  1  0.143  0.428  0.571  1.0
  Co  Co16  1  0.072  0.212  0.791  1.0
  O  O17  1  0.893  0.998  0.195  1.0
  O  O18  1  0.951  0.563  0.246  1.0
  O  O19  1  0.874  0.349  0.446  1.0
  O  O20  1  0.632  0.146  0.050  1.0
  O  O21  1  0.836  0.788  0.402  1.0
  O  O22  1  0.660  0.704  0.091  1.0
  O  O23  1  0.981  0.240  0.972  1.0
  O  O24  1  0.801  0.129  0.667  1.0
  O  O25  1  0.777  0.582  0.616  1.0
  O  O26  1  0.584  0.492  0.306  1.0
  O  O27  1  0.556  0.932  0.250  1.0
  O  O28  1  0.703  0.365  0.827  1.0
  O  O29  1  0.516  0.277  0.530  1.0
  O  O30  1  0.297  0.086  0.124  1.0
  O  O31  1  0.701  0.916  0.869  1.0
  O  O32  1  0.493  0.728  0.475  1.0
  O  O33  1  0.300  0.636  0.175  1.0
  O  O34  1  0.451  0.072  0.748  1.0
  O  O35  1  0.409  0.508  0.688  1.0
  O  O36  1  0.227  0.424  0.377  1.0
  O  O37  1  0.199  0.871  0.335  1.0
  O  O38  1  0.026  0.767  0.036  1.0
  O  O39  1  0.341  0.298  0.911  1.0
  O  O40  1  0.163  0.211  0.603  1.0
  O  O41  1  0.363  0.844  0.950  1.0
  O  O42  1  0.123  0.651  0.551  1.0
  O  O43  1  0.050  0.435  0.756  1.0
  O  O44  1  0.099  0.998  0.798  1.0
[/CIF]
.