The compound described by Li2MgCo13O28 crystallizes in the triclinic P-1 space group. Li(1) is bonded to one O(10), one O(11), one O(12), one O(13), one O(3), and one O(6) atom to form LiO6 octahedra that share  a cornercorner with one Co(3)O6 octahedra,  a cornercorner with one Co(6)O6 octahedra,  a cornercorner with one Co(7)O6 octahedra, corners with three equivalent Co(5)O6 octahedra,  an edgeedge with one Mg(1)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 edges with two equivalent Co(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 11-16°. Mg(1) is bonded to two equivalent O(11), two equivalent O(13), and two equivalent O(7) atoms to form MgO6 octahedra that share edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Co(3)O6 octahedra, edges with two equivalent Co(4)O6 octahedra, and edges with two equivalent Co(5)O6 octahedra. There are seven inequivalent Co sites. In the first Co site, Co(1) is bonded to one O(1), one O(2), one O(4), one O(5), one O(8), and one O(9) atom to form edge-sharing CoO6 octahedra. In the second Co site, Co(2) is bonded to one O(1), one O(10), one O(12), one O(4), and two equivalent O(6) atoms to form CoO6 octahedra that share  an edgeedge with one Co(1)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, edges with two equivalent Li(1)O6 octahedra, and edges with two equivalent Co(6)O6 octahedra. In the third Co site, Co(3) is bonded to one O(11), one O(2), one O(5), one O(7), and two equivalent O(3) atoms to form CoO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Mg(1)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, and edges with two equivalent Co(4)O6 octahedra. The corner-sharing octahedral tilt angles are 15°. In the fourth Co site, Co(4) is bonded to one O(13), one O(14), one O(2), one O(3), one O(7), and one O(9) atom to form CoO6 octahedra that share  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Mg(1)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Co(5)O6 octahedra,  an edgeedge with one Co(6)O6 octahedra, and edges with two equivalent Co(3)O6 octahedra. In the fifth Co site, Co(5) is bonded to one O(10), one O(11), one O(13), one O(14), one O(4), and one O(5) atom to form CoO6 octahedra that share corners with three equivalent Li(1)O6 octahedra,  an edgeedge with one Mg(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, and  an edgeedge with one Co(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 11-16°. In the sixth Co site, Co(6) is bonded to one O(10), one O(12), one O(14), one O(6), one O(8), and one O(9) atom to form CoO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Co(1)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 edges with two equivalent Co(2)O6 octahedra. The corner-sharing octahedral tilt angles are 14°. In the seventh Co site, Co(7) is bonded to two equivalent O(1), two equivalent O(12), and two equivalent O(8) atoms to form CoO6 octahedra that share corners with two equivalent Li(1)O6 octahedra, edges with two equivalent Co(1)O6 octahedra, edges with two equivalent Co(2)O6 octahedra, and edges with two equivalent Co(6)O6 octahedra. The corner-sharing octahedral tilt angles are 13°. There are fourteen inequivalent O sites. In the first O site, O(1) is bonded in a distorted T-shaped geometry to one Co(1), one Co(2), and one Co(7) atom. In the second O site, O(2) is bonded in a distorted trigonal non-coplanar geometry to one Co(1), one Co(3), and one Co(4) atom. In the third O site, O(3) is bonded in a rectangular see-saw-like geometry to one Li(1), one Co(4), and two equivalent Co(3) atoms. In the fourth O site, O(4) is bonded in a distorted T-shaped geometry to one Co(1), one Co(2), and one Co(5) atom. In the fifth O site, O(5) is bonded in a distorted T-shaped geometry to one Co(1), one Co(3), and one Co(5) atom. In the sixth O site, O(6) is bonded in a rectangular see-saw-like geometry to one Li(1), one Co(6), and two equivalent Co(2) atoms. In the seventh O site, O(7) is bonded in a distorted T-shaped geometry to one Mg(1), one Co(3), and one Co(4) atom. In the eighth O site, O(8) is bonded in a distorted T-shaped geometry to one Co(1), one Co(6), and one Co(7) atom. In the ninth O site, O(9) is bonded in a distorted T-shaped geometry to one Co(1), one Co(4), and one Co(6) atom. In the tenth O site, O(10) is bonded in a rectangular see-saw-like geometry to one Li(1), one Co(2), one Co(5), and one Co(6) atom. In the eleventh O site, O(11) is bonded in a rectangular see-saw-like geometry to one Li(1), one Mg(1), one Co(3), and one Co(5) atom. In the twelfth O site, O(12) is bonded in a rectangular see-saw-like geometry to one Li(1), one Co(2), one Co(6), and one Co(7) atom. In the thirteenth O site, O(13) is bonded in a rectangular see-saw-like geometry to one Li(1), one Mg(1), one Co(4), and one Co(5) atom. In the fourteenth O site, O(14) is bonded in a distorted T-shaped geometry to one Co(4), one Co(5), and one Co(6) atom. is represented by the CIF card [CIF]
data_Li2MgCo13O28
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   7.545
_cell_length_b   8.175
_cell_length_c   8.654
_cell_angle_alpha   100.907
_cell_angle_beta   104.666
_cell_angle_gamma   105.647
_symmetry_Int_Tables_number   1
_cell_volume   477.882
_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  0.579  0.216  0.292  1.0
  Li  Li1  1  0.421  0.784  0.708  1.0
  Mg  Mg2  1  0.500  0.500  0.500  1.0
  Co  Co3  1  0.928  0.788  0.216  1.0
  Co  Co4  1  0.643  0.929  0.071  1.0
  Co  Co5  1  0.862  0.578  0.434  1.0
  Co  Co6  1  0.788  0.362  0.647  1.0
  Co  Co7  1  0.572  0.716  0.287  1.0
  Co  Co8  1  0.281  0.849  0.136  1.0
  Co  Co9  1  0.719  0.151  0.864  1.0
  Co  Co10  1  0.212  0.638  0.353  1.0
  Co  Co11  1  0.428  0.284  0.713  1.0
  Co  Co12  1  0.000  0.000  0.000  1.0
  Co  Co13  1  0.138  0.422  0.566  1.0
  Co  Co14  1  0.357  0.071  0.929  1.0
  Co  Co15  1  0.072  0.212  0.784  1.0
  O  O16  1  0.912  0.009  0.186  1.0
  O  O17  1  0.942  0.570  0.242  1.0
  O  O18  1  0.864  0.349  0.452  1.0
  O  O19  1  0.658  0.711  0.100  1.0
  O  O20  1  0.845  0.799  0.403  1.0
  O  O21  1  0.627  0.152  0.053  1.0
  O  O22  1  0.795  0.583  0.626  1.0
  O  O23  1  0.988  0.221  0.975  1.0
  O  O24  1  0.801  0.138  0.676  1.0
  O  O25  1  0.552  0.938  0.256  1.0
  O  O26  1  0.602  0.500  0.305  1.0
  O  O27  1  0.274  0.077  0.118  1.0
  O  O28  1  0.524  0.267  0.531  1.0
  O  O29  1  0.700  0.366  0.836  1.0
  O  O30  1  0.476  0.733  0.469  1.0
  O  O31  1  0.726  0.923  0.882  1.0
  O  O32  1  0.300  0.634  0.164  1.0
  O  O33  1  0.398  0.500  0.695  1.0
  O  O34  1  0.012  0.779  0.025  1.0
  O  O35  1  0.448  0.062  0.744  1.0
  O  O36  1  0.199  0.862  0.324  1.0
  O  O37  1  0.205  0.417  0.374  1.0
  O  O38  1  0.342  0.289  0.900  1.0
  O  O39  1  0.373  0.848  0.947  1.0
  O  O40  1  0.136  0.651  0.548  1.0
  O  O41  1  0.155  0.201  0.597  1.0
  O  O42  1  0.058  0.430  0.758  1.0
  O  O43  1  0.088  0.991  0.814  1.0
[/CIF]
.
The compound described by Li2MgCo13O28 crystallizes in the triclinic P-1 space group. Li(1) is bonded to one O(10), one O(11), one O(12), one O(13), one O(3), and one O(6) atom to form LiO6 octahedra that share  a cornercorner with one Co(3)O6 octahedra,  a cornercorner with one Co(6)O6 octahedra,  a cornercorner with one Co(7)O6 octahedra, corners with three equivalent Co(5)O6 octahedra,  an edgeedge with one Mg(1)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 edges with two equivalent Co(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 11-16°. Mg(1) is bonded to two equivalent O(11), two equivalent O(13), and two equivalent O(7) atoms to form MgO6 octahedra that share edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Co(3)O6 octahedra, edges with two equivalent Co(4)O6 octahedra, and edges with two equivalent Co(5)O6 octahedra. There are seven inequivalent Co sites. In the first Co site, Co(1) is bonded to one O(1), one O(2), one O(4), one O(5), one O(8), and one O(9) atom to form edge-sharing CoO6 octahedra. In the second Co site, Co(2) is bonded to one O(1), one O(10), one O(12), one O(4), and two equivalent O(6) atoms to form CoO6 octahedra that share  an edgeedge with one Co(1)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, edges with two equivalent Li(1)O6 octahedra, and edges with two equivalent Co(6)O6 octahedra. In the third Co site, Co(3) is bonded to one O(11), one O(2), one O(5), one O(7), and two equivalent O(3) atoms to form CoO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Mg(1)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, and edges with two equivalent Co(4)O6 octahedra. The corner-sharing octahedral tilt angles are 15°. In the fourth Co site, Co(4) is bonded to one O(13), one O(14), one O(2), one O(3), one O(7), and one O(9) atom to form CoO6 octahedra that share  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Mg(1)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Co(5)O6 octahedra,  an edgeedge with one Co(6)O6 octahedra, and edges with two equivalent Co(3)O6 octahedra. In the fifth Co site, Co(5) is bonded to one O(10), one O(11), one O(13), one O(14), one O(4), and one O(5) atom to form CoO6 octahedra that share corners with three equivalent Li(1)O6 octahedra,  an edgeedge with one Mg(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, and  an edgeedge with one Co(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 11-16°. In the sixth Co site, Co(6) is bonded to one O(10), one O(12), one O(14), one O(6), one O(8), and one O(9) atom to form CoO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Co(1)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 edges with two equivalent Co(2)O6 octahedra. The corner-sharing octahedral tilt angles are 14°. In the seventh Co site, Co(7) is bonded to two equivalent O(1), two equivalent O(12), and two equivalent O(8) atoms to form CoO6 octahedra that share corners with two equivalent Li(1)O6 octahedra, edges with two equivalent Co(1)O6 octahedra, edges with two equivalent Co(2)O6 octahedra, and edges with two equivalent Co(6)O6 octahedra. The corner-sharing octahedral tilt angles are 13°. There are fourteen inequivalent O sites. In the first O site, O(1) is bonded in a distorted T-shaped geometry to one Co(1), one Co(2), and one Co(7) atom. In the second O site, O(2) is bonded in a distorted trigonal non-coplanar geometry to one Co(1), one Co(3), and one Co(4) atom. In the third O site, O(3) is bonded in a rectangular see-saw-like geometry to one Li(1), one Co(4), and two equivalent Co(3) atoms. In the fourth O site, O(4) is bonded in a distorted T-shaped geometry to one Co(1), one Co(2), and one Co(5) atom. In the fifth O site, O(5) is bonded in a distorted T-shaped geometry to one Co(1), one Co(3), and one Co(5) atom. In the sixth O site, O(6) is bonded in a rectangular see-saw-like geometry to one Li(1), one Co(6), and two equivalent Co(2) atoms. In the seventh O site, O(7) is bonded in a distorted T-shaped geometry to one Mg(1), one Co(3), and one Co(4) atom. In the eighth O site, O(8) is bonded in a distorted T-shaped geometry to one Co(1), one Co(6), and one Co(7) atom. In the ninth O site, O(9) is bonded in a distorted T-shaped geometry to one Co(1), one Co(4), and one Co(6) atom. In the tenth O site, O(10) is bonded in a rectangular see-saw-like geometry to one Li(1), one Co(2), one Co(5), and one Co(6) atom. In the eleventh O site, O(11) is bonded in a rectangular see-saw-like geometry to one Li(1), one Mg(1), one Co(3), and one Co(5) atom. In the twelfth O site, O(12) is bonded in a rectangular see-saw-like geometry to one Li(1), one Co(2), one Co(6), and one Co(7) atom. In the thirteenth O site, O(13) is bonded in a rectangular see-saw-like geometry to one Li(1), one Mg(1), one Co(4), and one Co(5) atom. In the fourteenth O site, O(14) is bonded in a distorted T-shaped geometry to one Co(4), one Co(5), and one Co(6) atom. is represented by the CIF card [CIF]
data_Li2MgCo13O28
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   7.545
_cell_length_b   8.175
_cell_length_c   8.654
_cell_angle_alpha   100.907
_cell_angle_beta   104.666
_cell_angle_gamma   105.647
_symmetry_Int_Tables_number   1
_cell_volume   477.882
_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  0.579  0.216  0.292  1.0
  Li  Li1  1  0.421  0.784  0.708  1.0
  Mg  Mg2  1  0.500  0.500  0.500  1.0
  Co  Co3  1  0.928  0.788  0.216  1.0
  Co  Co4  1  0.643  0.929  0.071  1.0
  Co  Co5  1  0.862  0.578  0.434  1.0
  Co  Co6  1  0.788  0.362  0.647  1.0
  Co  Co7  1  0.572  0.716  0.287  1.0
  Co  Co8  1  0.281  0.849  0.136  1.0
  Co  Co9  1  0.719  0.151  0.864  1.0
  Co  Co10  1  0.212  0.638  0.353  1.0
  Co  Co11  1  0.428  0.284  0.713  1.0
  Co  Co12  1  0.000  0.000  0.000  1.0
  Co  Co13  1  0.138  0.422  0.566  1.0
  Co  Co14  1  0.357  0.071  0.929  1.0
  Co  Co15  1  0.072  0.212  0.784  1.0
  O  O16  1  0.912  0.009  0.186  1.0
  O  O17  1  0.942  0.570  0.242  1.0
  O  O18  1  0.864  0.349  0.452  1.0
  O  O19  1  0.658  0.711  0.100  1.0
  O  O20  1  0.845  0.799  0.403  1.0
  O  O21  1  0.627  0.152  0.053  1.0
  O  O22  1  0.795  0.583  0.626  1.0
  O  O23  1  0.988  0.221  0.975  1.0
  O  O24  1  0.801  0.138  0.676  1.0
  O  O25  1  0.552  0.938  0.256  1.0
  O  O26  1  0.602  0.500  0.305  1.0
  O  O27  1  0.274  0.077  0.118  1.0
  O  O28  1  0.524  0.267  0.531  1.0
  O  O29  1  0.700  0.366  0.836  1.0
  O  O30  1  0.476  0.733  0.469  1.0
  O  O31  1  0.726  0.923  0.882  1.0
  O  O32  1  0.300  0.634  0.164  1.0
  O  O33  1  0.398  0.500  0.695  1.0
  O  O34  1  0.012  0.779  0.025  1.0
  O  O35  1  0.448  0.062  0.744  1.0
  O  O36  1  0.199  0.862  0.324  1.0
  O  O37  1  0.205  0.417  0.374  1.0
  O  O38  1  0.342  0.289  0.900  1.0
  O  O39  1  0.373  0.848  0.947  1.0
  O  O40  1  0.136  0.651  0.548  1.0
  O  O41  1  0.155  0.201  0.597  1.0
  O  O42  1  0.058  0.430  0.758  1.0
  O  O43  1  0.088  0.991  0.814  1.0
[/CIF]
.