The compound described by Li10Cr3Mn3(CoO8)2 crystallizes in the triclinic P1 space group. There are ten inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(14), one O(15), one O(2), and one O(8) 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 Mn(2)O6 octahedra, corners with three equivalent Li(6)O6 octahedra, corners with three equivalent Co(1)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra,  an edgeedge with one Mn(1)O6 octahedra, and  an edgeedge with one Mn(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-65°. In the second Li site, Li(2) is bonded in a 4-coordinate geometry to one O(1), one O(12), one O(16), one O(6), and one O(9) atom. In the third Li site, Li(3) is bonded to one O(1), one O(11), one O(13), one O(3), one O(5), and one O(7) atom to form distorted LiO6 octahedra that share corners with three equivalent Co(1)O6 octahedra, corners with three equivalent Li(7)O4 tetrahedra, edges with two equivalent Cr(1)O6 octahedra, edges with two equivalent Cr(3)O6 octahedra, and edges with two equivalent Mn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-10°. In the fourth Li site, Li(4) is bonded in a 3-coordinate geometry to one O(10), one O(11), one O(14), one O(15), one O(2), and one O(3) atom. In the fifth Li site, Li(5) is bonded in a 4-coordinate geometry to one O(10), one O(11), one O(15), one O(2), one O(7), and one O(8) atom. In the sixth Li site, Li(6) is bonded to one O(12), one O(14), one O(2), one O(4), one O(8), and one O(9) atom to form distorted LiO6 octahedra that share corners with three equivalent Li(1)O4 tetrahedra, edges with two equivalent Cr(2)O6 octahedra, edges with two equivalent Mn(1)O6 octahedra, edges with two equivalent Mn(3)O6 octahedra, and  a faceface with one Co(1)O6 octahedra. In the seventh Li site, Li(7) is bonded to one O(1), one O(13), one O(16), and one O(5) atom to form LiO4 tetrahedra that share  a cornercorner with one Cr(2)O6 octahedra,  a cornercorner with one Mn(1)O6 octahedra,  a cornercorner with one Mn(3)O6 octahedra, corners with three equivalent Li(3)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra,  an edgeedge with one Cr(3)O6 octahedra, and  an edgeedge with one Mn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-61°. In the eighth Li site, Li(8) is bonded in a 3-coordinate geometry to one O(1), one O(12), one O(13), one O(16), one O(4), and one O(6) atom. In the ninth Li site, Li(9) is bonded in a 4-coordinate geometry to one O(10), one O(14), one O(15), one O(3), one O(7), and one O(8) atom. In the tenth Li site, Li(10) is bonded in a 5-coordinate geometry to one O(13), one O(16), one O(4), one O(6), and one O(9) atom. There are three inequivalent Cr sites. In the first Cr site, Cr(1) is bonded to one O(1), one O(15), one O(3), one O(5), one O(6), and one O(7) atom to form CrO6 octahedra that share  a cornercorner with one Li(1)O4 tetrahedra,  an edgeedge with one Co(1)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with two equivalent Cr(3)O6 octahedra, edges with two equivalent Mn(2)O6 octahedra, and  an edgeedge with one Li(7)O4 tetrahedra. In the second Cr site, Cr(2) is bonded to one O(10), one O(16), one O(2), one O(4), one O(8), and one O(9) atom to form CrO6 octahedra that share corners with two equivalent Co(1)O6 octahedra,  a cornercorner with one Li(7)O4 tetrahedra, edges with two equivalent Li(6)O6 octahedra, edges with two equivalent Mn(1)O6 octahedra, edges with two equivalent Mn(3)O6 octahedra, and  an edgeedge with one Li(1)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 48-53°. In the third Cr site, Cr(3) is bonded to one O(1), one O(11), one O(13), one O(15), one O(3), and one O(6) atom to form CrO6 octahedra that share  a cornercorner with one Li(1)O4 tetrahedra,  an edgeedge with one Co(1)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, edges with two equivalent Mn(2)O6 octahedra, and  an edgeedge with one Li(7)O4 tetrahedra. There are three inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to one O(10), one O(12), one O(14), one O(16), one O(2), and one O(4) atom to form distorted MnO6 octahedra that share corners with two equivalent Co(1)O6 octahedra,  a cornercorner with one Li(7)O4 tetrahedra, edges with two equivalent Li(6)O6 octahedra, edges with two equivalent Cr(2)O6 octahedra, edges with two equivalent Mn(3)O6 octahedra, and  an edgeedge with one Li(1)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 50-56°. In the second Mn site, Mn(2) is bonded to one O(11), one O(13), one O(15), one O(5), one O(6), and one O(7) atom to form MnO6 octahedra that share  a cornercorner with one Li(1)O4 tetrahedra,  an edgeedge with one Co(1)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, edges with two equivalent Cr(3)O6 octahedra, and  an edgeedge with one Li(7)O4 tetrahedra. In the third Mn site, Mn(3) is bonded to one O(10), one O(12), one O(14), one O(16), one O(8), and one O(9) atom to form MnO6 octahedra that share corners with two equivalent Co(1)O6 octahedra,  a cornercorner with one Li(7)O4 tetrahedra, edges with two equivalent Li(6)O6 octahedra, edges with two equivalent Cr(2)O6 octahedra, edges with two equivalent Mn(1)O6 octahedra, and  an edgeedge with one Li(1)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 42-54°. There are two inequivalent Co sites. In the first Co site, Co(1) is bonded to one O(11), one O(14), one O(2), one O(3), one O(7), and one O(8) atom to form distorted CoO6 octahedra that share corners with two equivalent Cr(2)O6 octahedra, corners with two equivalent Mn(1)O6 octahedra, corners with two equivalent Mn(3)O6 octahedra, corners with three equivalent Li(3)O6 octahedra, corners with three equivalent Li(1)O4 tetrahedra,  an edgeedge with one Cr(1)O6 octahedra,  an edgeedge with one Cr(3)O6 octahedra,  an edgeedge with one Mn(2)O6 octahedra, and  a faceface with one Li(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-56°. In the second Co site, Co(2) is bonded in a 6-coordinate geometry to one O(1), one O(12), one O(13), one O(4), one O(5), and one O(9) atom. There are sixteen inequivalent O sites. In the first O site, O(1) is bonded in a 7-coordinate geometry to one Li(2), one Li(3), one Li(7), one Li(8), one Cr(1), one Cr(3), and one Co(2) atom. In the second O site, O(2) is bonded in a 7-coordinate geometry to one Li(1), one Li(4), one Li(5), one Li(6), one Cr(2), one Mn(1), and one Co(1) atom. In the third O site, O(3) is bonded to one Li(3), one Li(4), one Li(9), one Cr(1), one Cr(3), and one Co(1) atom to form OLi3Cr2Co octahedra that share edges with two equivalent O(11)Li3MnCrCo octahedra, edges with two equivalent O(7)Li3MnCrCo octahedra,  an edgeedge with one O(10)Li3Mn2Cr pentagonal pyramid, and  an edgeedge with one O(6)Li3MnCr2 pentagonal pyramid. In the fourth O site, O(4) is bonded to one Li(10), one Li(6), one Li(8), one Cr(2), one Mn(1), and one Co(2) atom to form OLi3MnCrCo octahedra that share edges with two equivalent O(12)Li3Mn2Co octahedra, edges with two equivalent O(9)Li3MnCrCo octahedra,  an edgeedge with one O(10)Li3Mn2Cr pentagonal pyramid, and  an edgeedge with one O(6)Li3MnCr2 pentagonal pyramid. In the fifth O site, O(5) is bonded in a 5-coordinate geometry to one Li(3), one Li(7), one Cr(1), one Mn(2), and one Co(2) atom. In the sixth O site, O(6) is bonded to one Li(10), one Li(2), one Li(8), one Cr(1), one Cr(3), and one Mn(2) atom to form distorted OLi3MnCr2 pentagonal pyramids that share  an edgeedge with one O(3)Li3Cr2Co octahedra,  an edgeedge with one O(12)Li3Mn2Co octahedra,  an edgeedge with one O(11)Li3MnCrCo octahedra,  an edgeedge with one O(4)Li3MnCrCo octahedra,  an edgeedge with one O(7)Li3MnCrCo octahedra, and  an edgeedge with one O(9)Li3MnCrCo octahedra. In the seventh O site, O(7) is bonded to one Li(3), one Li(5), one Li(9), one Cr(1), one Mn(2), and one Co(1) atom to form OLi3MnCrCo octahedra that share edges with two equivalent O(3)Li3Cr2Co octahedra, edges with two equivalent O(11)Li3MnCrCo octahedra,  an edgeedge with one O(10)Li3Mn2Cr pentagonal pyramid, and  an edgeedge with one O(6)Li3MnCr2 pentagonal pyramid. In the eighth O site, O(8) is bonded in a 7-coordinate geometry to one Li(1), one Li(5), one Li(6), one Li(9), one Cr(2), one Mn(3), and one Co(1) atom. In the ninth O site, O(9) is bonded to one Li(10), one Li(2), one Li(6), one Cr(2), one Mn(3), and one Co(2) atom to form OLi3MnCrCo octahedra that share edges with two equivalent O(12)Li3Mn2Co octahedra, edges with two equivalent O(4)Li3MnCrCo octahedra,  an edgeedge with one O(10)Li3Mn2Cr pentagonal pyramid, and  an edgeedge with one O(6)Li3MnCr2 pentagonal pyramid. In the tenth O site, O(10) is bonded to one Li(4), one Li(5), one Li(9), one Cr(2), one Mn(1), and one Mn(3) atom to form distorted OLi3Mn2Cr pentagonal pyramids that share  an edgeedge with one O(3)Li3Cr2Co octahedra,  an edgeedge with one O(12)Li3Mn2Co octahedra,  an edgeedge with one O(11)Li3MnCrCo octahedra,  an edgeedge with one O(4)Li3MnCrCo octahedra,  an edgeedge with one O(7)Li3MnCrCo octahedra, and  an edgeedge with one O(9)Li3MnCrCo octahedra. In the eleventh O site, O(11) is bonded to one Li(3), one Li(4), one Li(5), one Cr(3), one Mn(2), and one Co(1) atom to form OLi3MnCrCo octahedra that share edges with two equivalent O(3)Li3Cr2Co octahedra, edges with two equivalent O(7)Li3MnCrCo octahedra,  an edgeedge with one O(10)Li3Mn2Cr pentagonal pyramid, and  an edgeedge with one O(6)Li3MnCr2 pentagonal pyramid. In the twelfth O site, O(12) is bonded to one Li(2), one Li(6), one Li(8), one Mn(1), one Mn(3), and one Co(2) atom to form OLi3Mn2Co octahedra that share edges with two equivalent O(4)Li3MnCrCo octahedra, edges with two equivalent O(9)Li3MnCrCo octahedra,  an edgeedge with one O(10)Li3Mn2Cr pentagonal pyramid, and  an edgeedge with one O(6)Li3MnCr2 pentagonal pyramid. In the thirteenth O site, O(13) is bonded in a 7-coordinate geometry to one Li(10), one Li(3), one Li(7), one Li(8), one Cr(3), one Mn(2), and one Co(2) atom. In the fourteenth O site, O(14) is bonded in a 7-coordinate geometry to one Li(1), one Li(4), one Li(6), one Li(9), one Mn(1), one Mn(3), and one Co(1) atom. In the fifteenth O site, O(15) is bonded in a 7-coordinate geometry to one Li(1), one Li(4), one Li(5), one Li(9), one Cr(1), one Cr(3), and one Mn(2) atom. In the sixteenth O site, O(16) is bonded in a 7-coordinate geometry to one Li(10), one Li(2), one Li(7), one Li(8), one Cr(2), one Mn(1), and one Mn(3) atom. is represented by the CIF file [CIF]
data_Li10Mn3Cr3(CoO8)2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.936
_cell_length_b   6.019
_cell_length_c   9.872
_cell_angle_alpha   91.111
_cell_angle_beta   90.760
_cell_angle_gamma   118.945
_symmetry_Int_Tables_number   1
_cell_volume   308.534
_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  0.017  0.993  0.483  1.0
  Li  Li1  1  0.203  0.398  0.063  1.0
  Li  Li2  1  0.689  0.342  0.782  1.0
  Li  Li3  1  0.817  0.187  0.564  1.0
  Li  Li4  1  0.402  0.185  0.566  1.0
  Li  Li5  1  0.356  0.676  0.283  1.0
  Li  Li6  1  0.017  0.014  0.983  1.0
  Li  Li7  1  0.211  0.809  0.056  1.0
  Li  Li8  1  0.800  0.598  0.554  1.0
  Li  Li9  1  0.617  0.790  0.058  1.0
  Mn  Mn10  1  0.848  0.172  0.286  1.0
  Mn  Mn11  1  0.679  0.833  0.784  1.0
  Mn  Mn12  1  0.847  0.662  0.285  1.0
  Cr  Cr13  1  0.185  0.340  0.786  1.0
  Cr  Cr14  1  0.352  0.168  0.285  1.0
  Cr  Cr15  1  0.184  0.834  0.785  1.0
  Co  Co16  1  0.342  0.655  0.529  1.0
  Co  Co17  1  0.679  0.330  0.028  1.0
  O  O18  1  0.341  0.165  0.904  1.0
  O  O19  1  0.166  0.315  0.402  1.0
  O  O20  1  0.030  0.510  0.666  1.0
  O  O21  1  0.529  0.017  0.169  1.0
  O  O22  1  0.853  0.168  0.895  1.0
  O  O23  1  0.330  0.660  0.907  1.0
  O  O24  1  0.506  0.506  0.673  1.0
  O  O25  1  0.180  0.839  0.394  1.0
  O  O26  1  0.521  0.490  0.172  1.0
  O  O27  1  0.673  0.302  0.408  1.0
  O  O28  1  0.506  0.974  0.671  1.0
  O  O29  1  0.998  0.515  0.161  1.0
  O  O30  1  0.854  0.693  0.898  1.0
  O  O31  1  0.686  0.799  0.411  1.0
  O  O32  1  0.041  0.016  0.669  1.0
  O  O33  1  0.022  0.031  0.170  1.0
[/CIF]
.
The compound described by Li10Cr3Mn3(CoO8)2 crystallizes in the triclinic P1 space group. There are ten inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(14), one O(15), one O(2), and one O(8) 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 Mn(2)O6 octahedra, corners with three equivalent Li(6)O6 octahedra, corners with three equivalent Co(1)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra,  an edgeedge with one Mn(1)O6 octahedra, and  an edgeedge with one Mn(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-65°. In the second Li site, Li(2) is bonded in a 4-coordinate geometry to one O(1), one O(12), one O(16), one O(6), and one O(9) atom. In the third Li site, Li(3) is bonded to one O(1), one O(11), one O(13), one O(3), one O(5), and one O(7) atom to form distorted LiO6 octahedra that share corners with three equivalent Co(1)O6 octahedra, corners with three equivalent Li(7)O4 tetrahedra, edges with two equivalent Cr(1)O6 octahedra, edges with two equivalent Cr(3)O6 octahedra, and edges with two equivalent Mn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-10°. In the fourth Li site, Li(4) is bonded in a 3-coordinate geometry to one O(10), one O(11), one O(14), one O(15), one O(2), and one O(3) atom. In the fifth Li site, Li(5) is bonded in a 4-coordinate geometry to one O(10), one O(11), one O(15), one O(2), one O(7), and one O(8) atom. In the sixth Li site, Li(6) is bonded to one O(12), one O(14), one O(2), one O(4), one O(8), and one O(9) atom to form distorted LiO6 octahedra that share corners with three equivalent Li(1)O4 tetrahedra, edges with two equivalent Cr(2)O6 octahedra, edges with two equivalent Mn(1)O6 octahedra, edges with two equivalent Mn(3)O6 octahedra, and  a faceface with one Co(1)O6 octahedra. In the seventh Li site, Li(7) is bonded to one O(1), one O(13), one O(16), and one O(5) atom to form LiO4 tetrahedra that share  a cornercorner with one Cr(2)O6 octahedra,  a cornercorner with one Mn(1)O6 octahedra,  a cornercorner with one Mn(3)O6 octahedra, corners with three equivalent Li(3)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra,  an edgeedge with one Cr(3)O6 octahedra, and  an edgeedge with one Mn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-61°. In the eighth Li site, Li(8) is bonded in a 3-coordinate geometry to one O(1), one O(12), one O(13), one O(16), one O(4), and one O(6) atom. In the ninth Li site, Li(9) is bonded in a 4-coordinate geometry to one O(10), one O(14), one O(15), one O(3), one O(7), and one O(8) atom. In the tenth Li site, Li(10) is bonded in a 5-coordinate geometry to one O(13), one O(16), one O(4), one O(6), and one O(9) atom. There are three inequivalent Cr sites. In the first Cr site, Cr(1) is bonded to one O(1), one O(15), one O(3), one O(5), one O(6), and one O(7) atom to form CrO6 octahedra that share  a cornercorner with one Li(1)O4 tetrahedra,  an edgeedge with one Co(1)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with two equivalent Cr(3)O6 octahedra, edges with two equivalent Mn(2)O6 octahedra, and  an edgeedge with one Li(7)O4 tetrahedra. In the second Cr site, Cr(2) is bonded to one O(10), one O(16), one O(2), one O(4), one O(8), and one O(9) atom to form CrO6 octahedra that share corners with two equivalent Co(1)O6 octahedra,  a cornercorner with one Li(7)O4 tetrahedra, edges with two equivalent Li(6)O6 octahedra, edges with two equivalent Mn(1)O6 octahedra, edges with two equivalent Mn(3)O6 octahedra, and  an edgeedge with one Li(1)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 48-53°. In the third Cr site, Cr(3) is bonded to one O(1), one O(11), one O(13), one O(15), one O(3), and one O(6) atom to form CrO6 octahedra that share  a cornercorner with one Li(1)O4 tetrahedra,  an edgeedge with one Co(1)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, edges with two equivalent Mn(2)O6 octahedra, and  an edgeedge with one Li(7)O4 tetrahedra. There are three inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to one O(10), one O(12), one O(14), one O(16), one O(2), and one O(4) atom to form distorted MnO6 octahedra that share corners with two equivalent Co(1)O6 octahedra,  a cornercorner with one Li(7)O4 tetrahedra, edges with two equivalent Li(6)O6 octahedra, edges with two equivalent Cr(2)O6 octahedra, edges with two equivalent Mn(3)O6 octahedra, and  an edgeedge with one Li(1)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 50-56°. In the second Mn site, Mn(2) is bonded to one O(11), one O(13), one O(15), one O(5), one O(6), and one O(7) atom to form MnO6 octahedra that share  a cornercorner with one Li(1)O4 tetrahedra,  an edgeedge with one Co(1)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, edges with two equivalent Cr(3)O6 octahedra, and  an edgeedge with one Li(7)O4 tetrahedra. In the third Mn site, Mn(3) is bonded to one O(10), one O(12), one O(14), one O(16), one O(8), and one O(9) atom to form MnO6 octahedra that share corners with two equivalent Co(1)O6 octahedra,  a cornercorner with one Li(7)O4 tetrahedra, edges with two equivalent Li(6)O6 octahedra, edges with two equivalent Cr(2)O6 octahedra, edges with two equivalent Mn(1)O6 octahedra, and  an edgeedge with one Li(1)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 42-54°. There are two inequivalent Co sites. In the first Co site, Co(1) is bonded to one O(11), one O(14), one O(2), one O(3), one O(7), and one O(8) atom to form distorted CoO6 octahedra that share corners with two equivalent Cr(2)O6 octahedra, corners with two equivalent Mn(1)O6 octahedra, corners with two equivalent Mn(3)O6 octahedra, corners with three equivalent Li(3)O6 octahedra, corners with three equivalent Li(1)O4 tetrahedra,  an edgeedge with one Cr(1)O6 octahedra,  an edgeedge with one Cr(3)O6 octahedra,  an edgeedge with one Mn(2)O6 octahedra, and  a faceface with one Li(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-56°. In the second Co site, Co(2) is bonded in a 6-coordinate geometry to one O(1), one O(12), one O(13), one O(4), one O(5), and one O(9) atom. There are sixteen inequivalent O sites. In the first O site, O(1) is bonded in a 7-coordinate geometry to one Li(2), one Li(3), one Li(7), one Li(8), one Cr(1), one Cr(3), and one Co(2) atom. In the second O site, O(2) is bonded in a 7-coordinate geometry to one Li(1), one Li(4), one Li(5), one Li(6), one Cr(2), one Mn(1), and one Co(1) atom. In the third O site, O(3) is bonded to one Li(3), one Li(4), one Li(9), one Cr(1), one Cr(3), and one Co(1) atom to form OLi3Cr2Co octahedra that share edges with two equivalent O(11)Li3MnCrCo octahedra, edges with two equivalent O(7)Li3MnCrCo octahedra,  an edgeedge with one O(10)Li3Mn2Cr pentagonal pyramid, and  an edgeedge with one O(6)Li3MnCr2 pentagonal pyramid. In the fourth O site, O(4) is bonded to one Li(10), one Li(6), one Li(8), one Cr(2), one Mn(1), and one Co(2) atom to form OLi3MnCrCo octahedra that share edges with two equivalent O(12)Li3Mn2Co octahedra, edges with two equivalent O(9)Li3MnCrCo octahedra,  an edgeedge with one O(10)Li3Mn2Cr pentagonal pyramid, and  an edgeedge with one O(6)Li3MnCr2 pentagonal pyramid. In the fifth O site, O(5) is bonded in a 5-coordinate geometry to one Li(3), one Li(7), one Cr(1), one Mn(2), and one Co(2) atom. In the sixth O site, O(6) is bonded to one Li(10), one Li(2), one Li(8), one Cr(1), one Cr(3), and one Mn(2) atom to form distorted OLi3MnCr2 pentagonal pyramids that share  an edgeedge with one O(3)Li3Cr2Co octahedra,  an edgeedge with one O(12)Li3Mn2Co octahedra,  an edgeedge with one O(11)Li3MnCrCo octahedra,  an edgeedge with one O(4)Li3MnCrCo octahedra,  an edgeedge with one O(7)Li3MnCrCo octahedra, and  an edgeedge with one O(9)Li3MnCrCo octahedra. In the seventh O site, O(7) is bonded to one Li(3), one Li(5), one Li(9), one Cr(1), one Mn(2), and one Co(1) atom to form OLi3MnCrCo octahedra that share edges with two equivalent O(3)Li3Cr2Co octahedra, edges with two equivalent O(11)Li3MnCrCo octahedra,  an edgeedge with one O(10)Li3Mn2Cr pentagonal pyramid, and  an edgeedge with one O(6)Li3MnCr2 pentagonal pyramid. In the eighth O site, O(8) is bonded in a 7-coordinate geometry to one Li(1), one Li(5), one Li(6), one Li(9), one Cr(2), one Mn(3), and one Co(1) atom. In the ninth O site, O(9) is bonded to one Li(10), one Li(2), one Li(6), one Cr(2), one Mn(3), and one Co(2) atom to form OLi3MnCrCo octahedra that share edges with two equivalent O(12)Li3Mn2Co octahedra, edges with two equivalent O(4)Li3MnCrCo octahedra,  an edgeedge with one O(10)Li3Mn2Cr pentagonal pyramid, and  an edgeedge with one O(6)Li3MnCr2 pentagonal pyramid. In the tenth O site, O(10) is bonded to one Li(4), one Li(5), one Li(9), one Cr(2), one Mn(1), and one Mn(3) atom to form distorted OLi3Mn2Cr pentagonal pyramids that share  an edgeedge with one O(3)Li3Cr2Co octahedra,  an edgeedge with one O(12)Li3Mn2Co octahedra,  an edgeedge with one O(11)Li3MnCrCo octahedra,  an edgeedge with one O(4)Li3MnCrCo octahedra,  an edgeedge with one O(7)Li3MnCrCo octahedra, and  an edgeedge with one O(9)Li3MnCrCo octahedra. In the eleventh O site, O(11) is bonded to one Li(3), one Li(4), one Li(5), one Cr(3), one Mn(2), and one Co(1) atom to form OLi3MnCrCo octahedra that share edges with two equivalent O(3)Li3Cr2Co octahedra, edges with two equivalent O(7)Li3MnCrCo octahedra,  an edgeedge with one O(10)Li3Mn2Cr pentagonal pyramid, and  an edgeedge with one O(6)Li3MnCr2 pentagonal pyramid. In the twelfth O site, O(12) is bonded to one Li(2), one Li(6), one Li(8), one Mn(1), one Mn(3), and one Co(2) atom to form OLi3Mn2Co octahedra that share edges with two equivalent O(4)Li3MnCrCo octahedra, edges with two equivalent O(9)Li3MnCrCo octahedra,  an edgeedge with one O(10)Li3Mn2Cr pentagonal pyramid, and  an edgeedge with one O(6)Li3MnCr2 pentagonal pyramid. In the thirteenth O site, O(13) is bonded in a 7-coordinate geometry to one Li(10), one Li(3), one Li(7), one Li(8), one Cr(3), one Mn(2), and one Co(2) atom. In the fourteenth O site, O(14) is bonded in a 7-coordinate geometry to one Li(1), one Li(4), one Li(6), one Li(9), one Mn(1), one Mn(3), and one Co(1) atom. In the fifteenth O site, O(15) is bonded in a 7-coordinate geometry to one Li(1), one Li(4), one Li(5), one Li(9), one Cr(1), one Cr(3), and one Mn(2) atom. In the sixteenth O site, O(16) is bonded in a 7-coordinate geometry to one Li(10), one Li(2), one Li(7), one Li(8), one Cr(2), one Mn(1), and one Mn(3) atom. is represented by the CIF file [CIF]
data_Li10Mn3Cr3(CoO8)2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.936
_cell_length_b   6.019
_cell_length_c   9.872
_cell_angle_alpha   91.111
_cell_angle_beta   90.760
_cell_angle_gamma   118.945
_symmetry_Int_Tables_number   1
_cell_volume   308.534
_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  0.017  0.993  0.483  1.0
  Li  Li1  1  0.203  0.398  0.063  1.0
  Li  Li2  1  0.689  0.342  0.782  1.0
  Li  Li3  1  0.817  0.187  0.564  1.0
  Li  Li4  1  0.402  0.185  0.566  1.0
  Li  Li5  1  0.356  0.676  0.283  1.0
  Li  Li6  1  0.017  0.014  0.983  1.0
  Li  Li7  1  0.211  0.809  0.056  1.0
  Li  Li8  1  0.800  0.598  0.554  1.0
  Li  Li9  1  0.617  0.790  0.058  1.0
  Mn  Mn10  1  0.848  0.172  0.286  1.0
  Mn  Mn11  1  0.679  0.833  0.784  1.0
  Mn  Mn12  1  0.847  0.662  0.285  1.0
  Cr  Cr13  1  0.185  0.340  0.786  1.0
  Cr  Cr14  1  0.352  0.168  0.285  1.0
  Cr  Cr15  1  0.184  0.834  0.785  1.0
  Co  Co16  1  0.342  0.655  0.529  1.0
  Co  Co17  1  0.679  0.330  0.028  1.0
  O  O18  1  0.341  0.165  0.904  1.0
  O  O19  1  0.166  0.315  0.402  1.0
  O  O20  1  0.030  0.510  0.666  1.0
  O  O21  1  0.529  0.017  0.169  1.0
  O  O22  1  0.853  0.168  0.895  1.0
  O  O23  1  0.330  0.660  0.907  1.0
  O  O24  1  0.506  0.506  0.673  1.0
  O  O25  1  0.180  0.839  0.394  1.0
  O  O26  1  0.521  0.490  0.172  1.0
  O  O27  1  0.673  0.302  0.408  1.0
  O  O28  1  0.506  0.974  0.671  1.0
  O  O29  1  0.998  0.515  0.161  1.0
  O  O30  1  0.854  0.693  0.898  1.0
  O  O31  1  0.686  0.799  0.411  1.0
  O  O32  1  0.041  0.016  0.669  1.0
  O  O33  1  0.022  0.031  0.170  1.0
[/CIF]
.