The compound described by Li9Mn2Co5O16 is Caswellsilverite-derived structured and crystallizes in the triclinic P-1 space group. There are five inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(1), one O(3), one O(4), one O(5), one O(6), and one O(8) atom to form LiO6 octahedra that share corners with three equivalent Mn(2)O6 octahedra, corners with three equivalent Co(3)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Mn(1)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, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, and edges with two equivalent Li(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-8°. In the second Li site, Li(2) is bonded to one O(2), one O(3), one O(4), one O(5), one O(6), and one O(7) atom to form LiO6 octahedra that share corners with three equivalent Li(5)O6 octahedra, corners with three equivalent Co(2)O6 octahedra,  an edgeedge with one Mn(1)O6 octahedra,  an edgeedge with one Mn(2)O6 octahedra,  an edgeedge with one Co(1)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, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, and edges with two equivalent Li(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 8-14°. In the third Li site, Li(3) is bonded to one O(1), one O(2), one O(3), one O(6), one O(7), and one O(8) atom to form LiO6 octahedra that share corners with three equivalent Co(1)O6 octahedra, corners with three equivalent Co(4)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Mn(1)O6 octahedra,  an edgeedge with one Mn(2)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, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, and edges with two equivalent Li(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-12°. In the fourth Li site, Li(4) is bonded to one O(1), one O(2), one O(4), one O(5), one O(7), and one O(8) atom to form LiO6 octahedra that share corners with three equivalent Mn(1)O6 octahedra, corners with three equivalent Co(5)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Mn(2)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, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, and edges with two equivalent Li(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 1-9°. In the fifth Li site, Li(5) is bonded to two equivalent O(2), two equivalent O(4), and two equivalent O(6) atoms to form LiO6 octahedra that share corners with six equivalent Li(2)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with two equivalent Li(4)O6 octahedra, edges with two equivalent Mn(2)O6 octahedra, edges with two equivalent Co(1)O6 octahedra, and edges with two equivalent Co(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 9-14°. There are two inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to two equivalent O(1), two equivalent O(5), and two equivalent O(7) atoms to form MnO6 octahedra that share corners with six equivalent Li(4)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with two equivalent Co(2)O6 octahedra, edges with two equivalent Co(3)O6 octahedra, and edges with two equivalent Co(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 1-4°. In the second Mn site, Mn(2) is bonded to two equivalent O(4), two equivalent O(6), and two equivalent O(8) atoms to form MnO6 octahedra that share corners with six equivalent Li(1)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with two equivalent Li(4)O6 octahedra, edges with two equivalent Li(5)O6 octahedra, edges with two equivalent Co(1)O6 octahedra, and edges with two equivalent Co(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-8°. There are five inequivalent Co sites. In the first Co site, Co(1) is bonded to two equivalent O(2), two equivalent O(6), and two equivalent O(8) atoms to form CoO6 octahedra that share corners with six equivalent Li(3)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Li(4)O6 octahedra, edges with two equivalent Li(5)O6 octahedra, edges with two equivalent Mn(2)O6 octahedra, and edges with two equivalent Co(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-12°. In the second Co site, Co(2) is bonded to two equivalent O(3), two equivalent O(5), and two equivalent O(7) atoms to form CoO6 octahedra that share corners with six equivalent Li(2)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with two equivalent Li(4)O6 octahedra, edges with two equivalent Mn(1)O6 octahedra, edges with two equivalent Co(3)O6 octahedra, and edges with two equivalent Co(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 8-11°. In the third Co site, Co(3) is bonded to two equivalent O(1), two equivalent O(3), and two equivalent O(5) atoms to form CoO6 octahedra that share corners with six equivalent Li(1)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with two equivalent Li(4)O6 octahedra, edges with two equivalent Mn(1)O6 octahedra, edges with two equivalent Co(2)O6 octahedra, and edges with two equivalent Co(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-8°. In the fourth Co site, Co(4) is bonded to two equivalent O(1), two equivalent O(3), and two equivalent O(7) atoms to form CoO6 octahedra that share corners with six equivalent Li(3)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Li(4)O6 octahedra, edges with two equivalent Mn(1)O6 octahedra, edges with two equivalent Co(2)O6 octahedra, and edges with two equivalent Co(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-9°. In the fifth Co site, Co(5) is bonded to two equivalent O(2), two equivalent O(4), and two equivalent O(8) atoms to form CoO6 octahedra that share corners with six equivalent Li(4)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with two equivalent Li(5)O6 octahedra, edges with two equivalent Mn(2)O6 octahedra, and edges with two equivalent Co(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 6-9°. There are eight inequivalent O sites. In the first O site, O(1) is bonded to one Li(1), one Li(3), one Li(4), one Mn(1), one Co(3), and one Co(4) atom to form OLi3MnCo2 octahedra that share corners with three equivalent O(1)Li3MnCo2 octahedra, corners with three equivalent O(8)Li3MnCo2 octahedra,  an edgeedge with one O(2)Li4Co2 octahedra,  an edgeedge with one O(4)Li4MnCo octahedra,  an edgeedge with one O(6)Li4MnCo octahedra, edges with three equivalent O(3)Li3Co3 octahedra, edges with three equivalent O(5)Li3MnCo2 octahedra, and edges with three equivalent O(7)Li3MnCo2 octahedra. The corner-sharing octahedral tilt angles range from 0-9°. In the second O site, O(2) is bonded to one Li(2), one Li(3), one Li(4), one Li(5), one Co(1), and one Co(5) atom to form OLi4Co2 octahedra that share corners with three equivalent O(7)Li3MnCo2 octahedra, corners with three equivalent O(2)Li4Co2 octahedra,  an edgeedge with one O(3)Li3Co3 octahedra,  an edgeedge with one O(1)Li3MnCo2 octahedra,  an edgeedge with one O(5)Li3MnCo2 octahedra, edges with three equivalent O(8)Li3MnCo2 octahedra, edges with three equivalent O(4)Li4MnCo octahedra, and edges with three equivalent O(6)Li4MnCo octahedra. The corner-sharing octahedral tilt angles range from 0-4°. In the third O site, O(3) is bonded to one Li(1), one Li(2), one Li(3), one Co(2), one Co(3), and one Co(4) atom to form OLi3Co3 octahedra that share corners with three equivalent O(3)Li3Co3 octahedra, corners with three equivalent O(6)Li4MnCo octahedra,  an edgeedge with one O(8)Li3MnCo2 octahedra,  an edgeedge with one O(2)Li4Co2 octahedra,  an edgeedge with one O(4)Li4MnCo octahedra, edges with three equivalent O(1)Li3MnCo2 octahedra, edges with three equivalent O(5)Li3MnCo2 octahedra, and edges with three equivalent O(7)Li3MnCo2 octahedra. The corner-sharing octahedral tilt angles range from 0-3°. In the fourth O site, O(4) is bonded to one Li(1), one Li(2), one Li(4), one Li(5), one Mn(2), and one Co(5) atom to form OLi4MnCo octahedra that share corners with three equivalent O(5)Li3MnCo2 octahedra, corners with three equivalent O(4)Li4MnCo octahedra,  an edgeedge with one O(3)Li3Co3 octahedra,  an edgeedge with one O(1)Li3MnCo2 octahedra,  an edgeedge with one O(7)Li3MnCo2 octahedra, edges with three equivalent O(8)Li3MnCo2 octahedra, edges with three equivalent O(2)Li4Co2 octahedra, and edges with three equivalent O(6)Li4MnCo octahedra. The corner-sharing octahedral tilt angles range from 0-5°. In the fifth O site, O(5) is bonded to one Li(1), one Li(2), one Li(4), one Mn(1), one Co(2), and one Co(3) atom to form OLi3MnCo2 octahedra that share corners with three equivalent O(5)Li3MnCo2 octahedra, corners with three equivalent O(4)Li4MnCo octahedra,  an edgeedge with one O(8)Li3MnCo2 octahedra,  an edgeedge with one O(2)Li4Co2 octahedra,  an edgeedge with one O(6)Li4MnCo octahedra, edges with three equivalent O(3)Li3Co3 octahedra, edges with three equivalent O(1)Li3MnCo2 octahedra, and edges with three equivalent O(7)Li3MnCo2 octahedra. The corner-sharing octahedral tilt angles range from 0-5°. In the sixth O site, O(6) is bonded to one Li(1), one Li(2), one Li(3), one Li(5), one Mn(2), and one Co(1) atom to form OLi4MnCo octahedra that share corners with three equivalent O(3)Li3Co3 octahedra, corners with three equivalent O(6)Li4MnCo octahedra,  an edgeedge with one O(1)Li3MnCo2 octahedra,  an edgeedge with one O(5)Li3MnCo2 octahedra,  an edgeedge with one O(7)Li3MnCo2 octahedra, edges with three equivalent O(8)Li3MnCo2 octahedra, edges with three equivalent O(2)Li4Co2 octahedra, and edges with three equivalent O(4)Li4MnCo octahedra. The corner-sharing octahedral tilt angles range from 0-3°. In the seventh O site, O(7) is bonded to one Li(2), one Li(3), one Li(4), one Mn(1), one Co(2), and one Co(4) atom to form OLi3MnCo2 octahedra that share corners with three equivalent O(7)Li3MnCo2 octahedra, corners with three equivalent O(2)Li4Co2 octahedra,  an edgeedge with one O(8)Li3MnCo2 octahedra,  an edgeedge with one O(4)Li4MnCo octahedra,  an edgeedge with one O(6)Li4MnCo octahedra, edges with three equivalent O(3)Li3Co3 octahedra, edges with three equivalent O(1)Li3MnCo2 octahedra, and edges with three equivalent O(5)Li3MnCo2 octahedra. The corner-sharing octahedral tilt angles range from 0-4°. In the eighth O site, O(8) is bonded to one Li(1), one Li(3), one Li(4), one Mn(2), one Co(1), and one Co(5) atom to form OLi3MnCo2 octahedra that share corners with three equivalent O(1)Li3MnCo2 octahedra, corners with three equivalent O(8)Li3MnCo2 octahedra,  an edgeedge with one O(3)Li3Co3 octahedra,  an edgeedge with one O(5)Li3MnCo2 octahedra,  an edgeedge with one O(7)Li3MnCo2 octahedra, edges with three equivalent O(2)Li4Co2 octahedra, edges with three equivalent O(4)Li4MnCo octahedra, and edges with three equivalent O(6)Li4MnCo octahedra. The corner-sharing octahedral tilt angles range from 0-9°. is represented by the CIF file [CIF]
data_Li9Mn2Co5O16
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.766
_cell_length_b   5.837
_cell_length_c   10.108
_cell_angle_alpha   74.171
_cell_angle_beta   73.767
_cell_angle_gamma   60.638
_symmetry_Int_Tables_number   1
_cell_volume   280.942
_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  0.752  0.240  0.261  1.0
  Li  Li1  1  0.255  0.251  0.747  1.0
  Li  Li2  1  0.242  0.760  0.253  1.0
  Li  Li3  1  0.756  0.752  0.749  1.0
  Li  Li4  1  0.244  0.248  0.251  1.0
  Li  Li5  1  0.758  0.240  0.747  1.0
  Li  Li6  1  0.745  0.749  0.253  1.0
  Li  Li7  1  0.248  0.760  0.739  1.0
  Li  Li8  1  0.000  0.000  0.500  1.0
  Mn  Mn9  1  0.000  0.000  0.000  1.0
  Mn  Mn10  1  0.000  0.500  0.500  1.0
  Co  Co11  1  0.500  0.000  0.500  1.0
  Co  Co12  1  0.500  0.500  0.000  1.0
  Co  Co13  1  0.500  0.000  0.000  1.0
  Co  Co14  1  0.000  0.500  0.000  1.0
  Co  Co15  1  0.500  0.500  0.500  1.0
  O  O16  1  0.104  0.128  0.122  1.0
  O  O17  1  0.607  0.151  0.603  1.0
  O  O18  1  0.621  0.653  0.111  1.0
  O  O19  1  0.145  0.609  0.611  1.0
  O  O20  1  0.639  0.115  0.112  1.0
  O  O21  1  0.143  0.141  0.606  1.0
  O  O22  1  0.112  0.650  0.116  1.0
  O  O23  1  0.645  0.596  0.618  1.0
  O  O24  1  0.355  0.404  0.382  1.0
  O  O25  1  0.888  0.350  0.884  1.0
  O  O26  1  0.857  0.859  0.394  1.0
  O  O27  1  0.361  0.885  0.888  1.0
  O  O28  1  0.855  0.391  0.389  1.0
  O  O29  1  0.379  0.347  0.889  1.0
  O  O30  1  0.393  0.849  0.397  1.0
  O  O31  1  0.896  0.872  0.878  1.0
[/CIF]
.
The compound described by Li9Mn2Co5O16 is Caswellsilverite-derived structured and crystallizes in the triclinic P-1 space group. There are five inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(1), one O(3), one O(4), one O(5), one O(6), and one O(8) atom to form LiO6 octahedra that share corners with three equivalent Mn(2)O6 octahedra, corners with three equivalent Co(3)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Mn(1)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, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, and edges with two equivalent Li(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-8°. In the second Li site, Li(2) is bonded to one O(2), one O(3), one O(4), one O(5), one O(6), and one O(7) atom to form LiO6 octahedra that share corners with three equivalent Li(5)O6 octahedra, corners with three equivalent Co(2)O6 octahedra,  an edgeedge with one Mn(1)O6 octahedra,  an edgeedge with one Mn(2)O6 octahedra,  an edgeedge with one Co(1)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, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, and edges with two equivalent Li(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 8-14°. In the third Li site, Li(3) is bonded to one O(1), one O(2), one O(3), one O(6), one O(7), and one O(8) atom to form LiO6 octahedra that share corners with three equivalent Co(1)O6 octahedra, corners with three equivalent Co(4)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Mn(1)O6 octahedra,  an edgeedge with one Mn(2)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, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, and edges with two equivalent Li(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-12°. In the fourth Li site, Li(4) is bonded to one O(1), one O(2), one O(4), one O(5), one O(7), and one O(8) atom to form LiO6 octahedra that share corners with three equivalent Mn(1)O6 octahedra, corners with three equivalent Co(5)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Mn(2)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, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, and edges with two equivalent Li(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 1-9°. In the fifth Li site, Li(5) is bonded to two equivalent O(2), two equivalent O(4), and two equivalent O(6) atoms to form LiO6 octahedra that share corners with six equivalent Li(2)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with two equivalent Li(4)O6 octahedra, edges with two equivalent Mn(2)O6 octahedra, edges with two equivalent Co(1)O6 octahedra, and edges with two equivalent Co(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 9-14°. There are two inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to two equivalent O(1), two equivalent O(5), and two equivalent O(7) atoms to form MnO6 octahedra that share corners with six equivalent Li(4)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with two equivalent Co(2)O6 octahedra, edges with two equivalent Co(3)O6 octahedra, and edges with two equivalent Co(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 1-4°. In the second Mn site, Mn(2) is bonded to two equivalent O(4), two equivalent O(6), and two equivalent O(8) atoms to form MnO6 octahedra that share corners with six equivalent Li(1)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with two equivalent Li(4)O6 octahedra, edges with two equivalent Li(5)O6 octahedra, edges with two equivalent Co(1)O6 octahedra, and edges with two equivalent Co(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-8°. There are five inequivalent Co sites. In the first Co site, Co(1) is bonded to two equivalent O(2), two equivalent O(6), and two equivalent O(8) atoms to form CoO6 octahedra that share corners with six equivalent Li(3)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Li(4)O6 octahedra, edges with two equivalent Li(5)O6 octahedra, edges with two equivalent Mn(2)O6 octahedra, and edges with two equivalent Co(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-12°. In the second Co site, Co(2) is bonded to two equivalent O(3), two equivalent O(5), and two equivalent O(7) atoms to form CoO6 octahedra that share corners with six equivalent Li(2)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with two equivalent Li(4)O6 octahedra, edges with two equivalent Mn(1)O6 octahedra, edges with two equivalent Co(3)O6 octahedra, and edges with two equivalent Co(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 8-11°. In the third Co site, Co(3) is bonded to two equivalent O(1), two equivalent O(3), and two equivalent O(5) atoms to form CoO6 octahedra that share corners with six equivalent Li(1)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with two equivalent Li(4)O6 octahedra, edges with two equivalent Mn(1)O6 octahedra, edges with two equivalent Co(2)O6 octahedra, and edges with two equivalent Co(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-8°. In the fourth Co site, Co(4) is bonded to two equivalent O(1), two equivalent O(3), and two equivalent O(7) atoms to form CoO6 octahedra that share corners with six equivalent Li(3)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Li(4)O6 octahedra, edges with two equivalent Mn(1)O6 octahedra, edges with two equivalent Co(2)O6 octahedra, and edges with two equivalent Co(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-9°. In the fifth Co site, Co(5) is bonded to two equivalent O(2), two equivalent O(4), and two equivalent O(8) atoms to form CoO6 octahedra that share corners with six equivalent Li(4)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with two equivalent Li(5)O6 octahedra, edges with two equivalent Mn(2)O6 octahedra, and edges with two equivalent Co(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 6-9°. There are eight inequivalent O sites. In the first O site, O(1) is bonded to one Li(1), one Li(3), one Li(4), one Mn(1), one Co(3), and one Co(4) atom to form OLi3MnCo2 octahedra that share corners with three equivalent O(1)Li3MnCo2 octahedra, corners with three equivalent O(8)Li3MnCo2 octahedra,  an edgeedge with one O(2)Li4Co2 octahedra,  an edgeedge with one O(4)Li4MnCo octahedra,  an edgeedge with one O(6)Li4MnCo octahedra, edges with three equivalent O(3)Li3Co3 octahedra, edges with three equivalent O(5)Li3MnCo2 octahedra, and edges with three equivalent O(7)Li3MnCo2 octahedra. The corner-sharing octahedral tilt angles range from 0-9°. In the second O site, O(2) is bonded to one Li(2), one Li(3), one Li(4), one Li(5), one Co(1), and one Co(5) atom to form OLi4Co2 octahedra that share corners with three equivalent O(7)Li3MnCo2 octahedra, corners with three equivalent O(2)Li4Co2 octahedra,  an edgeedge with one O(3)Li3Co3 octahedra,  an edgeedge with one O(1)Li3MnCo2 octahedra,  an edgeedge with one O(5)Li3MnCo2 octahedra, edges with three equivalent O(8)Li3MnCo2 octahedra, edges with three equivalent O(4)Li4MnCo octahedra, and edges with three equivalent O(6)Li4MnCo octahedra. The corner-sharing octahedral tilt angles range from 0-4°. In the third O site, O(3) is bonded to one Li(1), one Li(2), one Li(3), one Co(2), one Co(3), and one Co(4) atom to form OLi3Co3 octahedra that share corners with three equivalent O(3)Li3Co3 octahedra, corners with three equivalent O(6)Li4MnCo octahedra,  an edgeedge with one O(8)Li3MnCo2 octahedra,  an edgeedge with one O(2)Li4Co2 octahedra,  an edgeedge with one O(4)Li4MnCo octahedra, edges with three equivalent O(1)Li3MnCo2 octahedra, edges with three equivalent O(5)Li3MnCo2 octahedra, and edges with three equivalent O(7)Li3MnCo2 octahedra. The corner-sharing octahedral tilt angles range from 0-3°. In the fourth O site, O(4) is bonded to one Li(1), one Li(2), one Li(4), one Li(5), one Mn(2), and one Co(5) atom to form OLi4MnCo octahedra that share corners with three equivalent O(5)Li3MnCo2 octahedra, corners with three equivalent O(4)Li4MnCo octahedra,  an edgeedge with one O(3)Li3Co3 octahedra,  an edgeedge with one O(1)Li3MnCo2 octahedra,  an edgeedge with one O(7)Li3MnCo2 octahedra, edges with three equivalent O(8)Li3MnCo2 octahedra, edges with three equivalent O(2)Li4Co2 octahedra, and edges with three equivalent O(6)Li4MnCo octahedra. The corner-sharing octahedral tilt angles range from 0-5°. In the fifth O site, O(5) is bonded to one Li(1), one Li(2), one Li(4), one Mn(1), one Co(2), and one Co(3) atom to form OLi3MnCo2 octahedra that share corners with three equivalent O(5)Li3MnCo2 octahedra, corners with three equivalent O(4)Li4MnCo octahedra,  an edgeedge with one O(8)Li3MnCo2 octahedra,  an edgeedge with one O(2)Li4Co2 octahedra,  an edgeedge with one O(6)Li4MnCo octahedra, edges with three equivalent O(3)Li3Co3 octahedra, edges with three equivalent O(1)Li3MnCo2 octahedra, and edges with three equivalent O(7)Li3MnCo2 octahedra. The corner-sharing octahedral tilt angles range from 0-5°. In the sixth O site, O(6) is bonded to one Li(1), one Li(2), one Li(3), one Li(5), one Mn(2), and one Co(1) atom to form OLi4MnCo octahedra that share corners with three equivalent O(3)Li3Co3 octahedra, corners with three equivalent O(6)Li4MnCo octahedra,  an edgeedge with one O(1)Li3MnCo2 octahedra,  an edgeedge with one O(5)Li3MnCo2 octahedra,  an edgeedge with one O(7)Li3MnCo2 octahedra, edges with three equivalent O(8)Li3MnCo2 octahedra, edges with three equivalent O(2)Li4Co2 octahedra, and edges with three equivalent O(4)Li4MnCo octahedra. The corner-sharing octahedral tilt angles range from 0-3°. In the seventh O site, O(7) is bonded to one Li(2), one Li(3), one Li(4), one Mn(1), one Co(2), and one Co(4) atom to form OLi3MnCo2 octahedra that share corners with three equivalent O(7)Li3MnCo2 octahedra, corners with three equivalent O(2)Li4Co2 octahedra,  an edgeedge with one O(8)Li3MnCo2 octahedra,  an edgeedge with one O(4)Li4MnCo octahedra,  an edgeedge with one O(6)Li4MnCo octahedra, edges with three equivalent O(3)Li3Co3 octahedra, edges with three equivalent O(1)Li3MnCo2 octahedra, and edges with three equivalent O(5)Li3MnCo2 octahedra. The corner-sharing octahedral tilt angles range from 0-4°. In the eighth O site, O(8) is bonded to one Li(1), one Li(3), one Li(4), one Mn(2), one Co(1), and one Co(5) atom to form OLi3MnCo2 octahedra that share corners with three equivalent O(1)Li3MnCo2 octahedra, corners with three equivalent O(8)Li3MnCo2 octahedra,  an edgeedge with one O(3)Li3Co3 octahedra,  an edgeedge with one O(5)Li3MnCo2 octahedra,  an edgeedge with one O(7)Li3MnCo2 octahedra, edges with three equivalent O(2)Li4Co2 octahedra, edges with three equivalent O(4)Li4MnCo octahedra, and edges with three equivalent O(6)Li4MnCo octahedra. The corner-sharing octahedral tilt angles range from 0-9°. is represented by the CIF file [CIF]
data_Li9Mn2Co5O16
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.766
_cell_length_b   5.837
_cell_length_c   10.108
_cell_angle_alpha   74.171
_cell_angle_beta   73.767
_cell_angle_gamma   60.638
_symmetry_Int_Tables_number   1
_cell_volume   280.942
_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  0.752  0.240  0.261  1.0
  Li  Li1  1  0.255  0.251  0.747  1.0
  Li  Li2  1  0.242  0.760  0.253  1.0
  Li  Li3  1  0.756  0.752  0.749  1.0
  Li  Li4  1  0.244  0.248  0.251  1.0
  Li  Li5  1  0.758  0.240  0.747  1.0
  Li  Li6  1  0.745  0.749  0.253  1.0
  Li  Li7  1  0.248  0.760  0.739  1.0
  Li  Li8  1  0.000  0.000  0.500  1.0
  Mn  Mn9  1  0.000  0.000  0.000  1.0
  Mn  Mn10  1  0.000  0.500  0.500  1.0
  Co  Co11  1  0.500  0.000  0.500  1.0
  Co  Co12  1  0.500  0.500  0.000  1.0
  Co  Co13  1  0.500  0.000  0.000  1.0
  Co  Co14  1  0.000  0.500  0.000  1.0
  Co  Co15  1  0.500  0.500  0.500  1.0
  O  O16  1  0.104  0.128  0.122  1.0
  O  O17  1  0.607  0.151  0.603  1.0
  O  O18  1  0.621  0.653  0.111  1.0
  O  O19  1  0.145  0.609  0.611  1.0
  O  O20  1  0.639  0.115  0.112  1.0
  O  O21  1  0.143  0.141  0.606  1.0
  O  O22  1  0.112  0.650  0.116  1.0
  O  O23  1  0.645  0.596  0.618  1.0
  O  O24  1  0.355  0.404  0.382  1.0
  O  O25  1  0.888  0.350  0.884  1.0
  O  O26  1  0.857  0.859  0.394  1.0
  O  O27  1  0.361  0.885  0.888  1.0
  O  O28  1  0.855  0.391  0.389  1.0
  O  O29  1  0.379  0.347  0.889  1.0
  O  O30  1  0.393  0.849  0.397  1.0
  O  O31  1  0.896  0.872  0.878  1.0
[/CIF]
.