The structure described by Li13Mn8O24 crystallizes in the monoclinic C2 space group. There are nine inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(11), one O(12), one O(2), one O(4), one O(5), and one O(7) atom to form LiO6 octahedra that share  a cornercorner with one Li(2)O6 octahedra,  a cornercorner with one Mn(1)O6 octahedra,  a cornercorner with one Mn(2)O6 octahedra,  a cornercorner with one Mn(3)O6 octahedra,  a cornercorner with one Mn(4)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Mn(1)O6 octahedra,  an edgeedge with one Mn(2)O6 octahedra,  an edgeedge with one Mn(3)O6 octahedra,  an edgeedge with one Mn(4)O6 octahedra, edges with three equivalent Li(6)O6 octahedra, and edges with three equivalent Li(7)O6 octahedra. The corner-sharing octahedral tilt angles range from 6-11°. In the second Li site, Li(2) is bonded to one O(1), one O(11), one O(2), one O(4), one O(6), and one O(8) atom to form LiO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner with one Li(3)O6 octahedra,  a cornercorner with one Li(6)O6 octahedra,  a cornercorner with one Li(7)O6 octahedra,  a cornercorner with one Li(8)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(6)O6 octahedra,  an edgeedge with one Li(7)O6 octahedra,  an edgeedge with one Li(8)O6 octahedra, edges with three equivalent Mn(1)O6 octahedra, and edges with three equivalent Mn(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 6-12°. In the third Li site, Li(3) is bonded to two equivalent O(1), two equivalent O(6), and two equivalent O(8) atoms to form LiO6 octahedra that share corners with two equivalent Li(2)O6 octahedra, corners with two equivalent Mn(1)O6 octahedra, corners with two equivalent Mn(3)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Mn(1)O6 octahedra, edges with two equivalent Mn(3)O6 octahedra, and edges with three equivalent Li(8)O6 octahedra. The corner-sharing octahedral tilt angles range from 8-11°. In the fourth Li site, Li(4) is bonded to two equivalent O(10), two equivalent O(3), and two equivalent O(9) atoms to form LiO6 octahedra that share corners with two equivalent Mn(2)O6 octahedra, corners with two equivalent Mn(4)O6 octahedra, edges with two equivalent Mn(2)O6 octahedra, edges with two equivalent Mn(4)O6 octahedra, edges with three equivalent Li(5)O6 octahedra, and edges with three equivalent Li(9)O6 octahedra. The corner-sharing octahedral tilt angles range from 11-12°. In the fifth Li site, Li(5) is bonded to two equivalent O(10), two equivalent O(3), and two equivalent O(9) atoms to form LiO6 octahedra that share corners with two equivalent Mn(2)O6 octahedra, corners with two equivalent Mn(4)O6 octahedra, edges with two equivalent Mn(2)O6 octahedra, edges with two equivalent Mn(4)O6 octahedra, edges with three equivalent Li(4)O6 octahedra, and edges with three equivalent Li(9)O6 octahedra. The corner-sharing octahedral tilt angles are 10°. In the sixth Li site, Li(6) is bonded to one O(11), one O(12), one O(2), one O(4), one O(5), and one O(7) atom to form LiO6 octahedra that share  a cornercorner with one Li(2)O6 octahedra,  a cornercorner with one Mn(1)O6 octahedra,  a cornercorner with one Mn(2)O6 octahedra,  a cornercorner with one Mn(3)O6 octahedra,  a cornercorner with one Mn(4)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Mn(1)O6 octahedra,  an edgeedge with one Mn(2)O6 octahedra,  an edgeedge with one Mn(3)O6 octahedra,  an edgeedge with one Mn(4)O6 octahedra, edges with three equivalent Li(1)O6 octahedra, and edges with three equivalent Li(7)O6 octahedra. The corner-sharing octahedral tilt angles range from 6-12°. In the seventh Li site, Li(7) is bonded to one O(11), one O(12), one O(2), one O(4), one O(5), and one O(7) atom to form LiO6 octahedra that share  a cornercorner with one Li(2)O6 octahedra,  a cornercorner with one Mn(1)O6 octahedra,  a cornercorner with one Mn(2)O6 octahedra,  a cornercorner with one Mn(3)O6 octahedra,  a cornercorner with one Mn(4)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Mn(1)O6 octahedra,  an edgeedge with one Mn(2)O6 octahedra,  an edgeedge with one Mn(3)O6 octahedra,  an edgeedge with one Mn(4)O6 octahedra, edges with three equivalent Li(1)O6 octahedra, and edges with three equivalent Li(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-12°. In the eighth Li site, Li(8) is bonded to two equivalent O(1), two equivalent O(6), and two equivalent O(8) atoms to form LiO6 octahedra that share corners with two equivalent Li(2)O6 octahedra, corners with two equivalent Mn(1)O6 octahedra, corners with two equivalent Mn(3)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Mn(1)O6 octahedra, edges with two equivalent Mn(3)O6 octahedra, and edges with three equivalent Li(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 8-12°. In the ninth Li site, Li(9) is bonded to two equivalent O(10), two equivalent O(3), and two equivalent O(9) atoms to form LiO6 octahedra that share corners with two equivalent Mn(2)O6 octahedra, corners with two equivalent Mn(4)O6 octahedra, edges with two equivalent Mn(2)O6 octahedra, edges with two equivalent Mn(4)O6 octahedra, edges with three equivalent Li(4)O6 octahedra, and edges with three equivalent Li(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 11-13°. There are four inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to one O(1), one O(11), one O(2), one O(4), one O(6), and one O(8) atom to form MnO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner with one Li(3)O6 octahedra,  a cornercorner with one Li(6)O6 octahedra,  a cornercorner with one Li(7)O6 octahedra,  a cornercorner with one Li(8)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(6)O6 octahedra,  an edgeedge with one Li(7)O6 octahedra,  an edgeedge with one Li(8)O6 octahedra, edges with three equivalent Li(2)O6 octahedra, and edges with three equivalent Mn(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 6-10°. In the second Mn site, Mn(2) is bonded to one O(10), one O(12), one O(3), one O(5), one O(7), and one O(9) atom to form MnO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner with one Li(4)O6 octahedra,  a cornercorner with one Li(5)O6 octahedra,  a cornercorner with one Li(6)O6 octahedra,  a cornercorner with one Li(7)O6 octahedra,  a cornercorner with one Li(9)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Li(6)O6 octahedra,  an edgeedge with one Li(7)O6 octahedra,  an edgeedge with one Li(9)O6 octahedra, and edges with three equivalent Mn(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 10-13°. In the third Mn site, Mn(3) is bonded to one O(1), one O(11), one O(2), one O(4), one O(6), and one O(8) atom to form MnO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner with one Li(3)O6 octahedra,  a cornercorner with one Li(6)O6 octahedra,  a cornercorner with one Li(7)O6 octahedra,  a cornercorner with one Li(8)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(6)O6 octahedra,  an edgeedge with one Li(7)O6 octahedra,  an edgeedge with one Li(8)O6 octahedra, edges with three equivalent Li(2)O6 octahedra, and edges with three equivalent Mn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-11°. In the fourth Mn site, Mn(4) is bonded to one O(10), one O(12), one O(3), one O(5), one O(7), and one O(9) atom to form MnO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner with one Li(4)O6 octahedra,  a cornercorner with one Li(5)O6 octahedra,  a cornercorner with one Li(6)O6 octahedra,  a cornercorner with one Li(7)O6 octahedra,  a cornercorner with one Li(9)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Li(6)O6 octahedra,  an edgeedge with one Li(7)O6 octahedra,  an edgeedge with one Li(9)O6 octahedra, and edges with three equivalent Mn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 10-12°. There are twelve inequivalent O sites. In the first O site, O(1) is bonded to one Li(2), one Li(3), one Li(8), one Mn(1), and one Mn(3) atom to form OLi3Mn2 square pyramids that share  a cornercorner with one O(11)Li4Mn2 octahedra,  a cornercorner with one O(2)Li4Mn2 octahedra,  a cornercorner with one O(4)Li4Mn2 octahedra,  a cornercorner with one O(6)Li3Mn2 square pyramid, corners with two equivalent O(1)Li3Mn2 square pyramids, corners with three equivalent O(8)Li3Mn2 square pyramids,  an edgeedge with one O(11)Li4Mn2 octahedra,  an edgeedge with one O(2)Li4Mn2 octahedra,  an edgeedge with one O(4)Li4Mn2 octahedra, edges with two equivalent O(8)Li3Mn2 square pyramids, and edges with three equivalent O(6)Li3Mn2 square pyramids. The corner-sharing octahedral tilt angles range from 3-8°. In the second O site, O(2) is bonded to one Li(1), one Li(2), one Li(6), one Li(7), one Mn(1), and one Mn(3) atom to form OLi4Mn2 octahedra that share  a cornercorner with one O(1)Li3Mn2 square pyramid,  a cornercorner with one O(12)Li3Mn2 square pyramid,  a cornercorner with one O(5)Li3Mn2 square pyramid,  a cornercorner with one O(6)Li3Mn2 square pyramid,  a cornercorner with one O(7)Li3Mn2 square pyramid,  a cornercorner with one O(8)Li3Mn2 square pyramid, edges with three equivalent O(11)Li4Mn2 octahedra, edges with three equivalent O(4)Li4Mn2 octahedra,  an edgeedge with one O(1)Li3Mn2 square pyramid,  an edgeedge with one O(12)Li3Mn2 square pyramid,  an edgeedge with one O(5)Li3Mn2 square pyramid,  an edgeedge with one O(6)Li3Mn2 square pyramid,  an edgeedge with one O(7)Li3Mn2 square pyramid, and  an edgeedge with one O(8)Li3Mn2 square pyramid. In the third O site, O(3) is bonded to one Li(4), one Li(5), one Li(9), one Mn(2), and one Mn(4) atom to form a mixture of edge and corner-sharing OLi3Mn2 square pyramids. In the fourth O site, O(4) is bonded to one Li(1), one Li(2), one Li(6), one Li(7), one Mn(1), and one Mn(3) atom to form OLi4Mn2 octahedra that share  a cornercorner with one O(1)Li3Mn2 square pyramid,  a cornercorner with one O(12)Li3Mn2 square pyramid,  a cornercorner with one O(5)Li3Mn2 square pyramid,  a cornercorner with one O(6)Li3Mn2 square pyramid,  a cornercorner with one O(7)Li3Mn2 square pyramid,  a cornercorner with one O(8)Li3Mn2 square pyramid, edges with three equivalent O(11)Li4Mn2 octahedra, edges with three equivalent O(2)Li4Mn2 octahedra,  an edgeedge with one O(1)Li3Mn2 square pyramid,  an edgeedge with one O(12)Li3Mn2 square pyramid,  an edgeedge with one O(5)Li3Mn2 square pyramid,  an edgeedge with one O(6)Li3Mn2 square pyramid,  an edgeedge with one O(7)Li3Mn2 square pyramid, and  an edgeedge with one O(8)Li3Mn2 square pyramid. In the fifth O site, O(5) is bonded to one Li(1), one Li(6), one Li(7), one Mn(2), and one Mn(4) atom to form OLi3Mn2 square pyramids that share  a cornercorner with one O(11)Li4Mn2 octahedra,  a cornercorner with one O(2)Li4Mn2 octahedra,  a cornercorner with one O(4)Li4Mn2 octahedra,  a cornercorner with one O(12)Li3Mn2 square pyramid,  a cornercorner with one O(7)Li3Mn2 square pyramid, corners with two equivalent O(10)Li3Mn2 square pyramids, corners with two equivalent O(9)Li3Mn2 square pyramids,  an edgeedge with one O(11)Li4Mn2 octahedra,  an edgeedge with one O(2)Li4Mn2 octahedra,  an edgeedge with one O(4)Li4Mn2 octahedra,  an edgeedge with one O(3)Li3Mn2 square pyramid, edges with two equivalent O(12)Li3Mn2 square pyramids, and edges with two equivalent O(7)Li3Mn2 square pyramids. The corner-sharing octahedral tilt angles range from 1-8°. In the sixth O site, O(6) is bonded to one Li(2), one Li(3), one Li(8), one Mn(1), and one Mn(3) atom to form OLi3Mn2 square pyramids that share  a cornercorner with one O(11)Li4Mn2 octahedra,  a cornercorner with one O(2)Li4Mn2 octahedra,  a cornercorner with one O(4)Li4Mn2 octahedra,  a cornercorner with one O(1)Li3Mn2 square pyramid, corners with two equivalent O(6)Li3Mn2 square pyramids, corners with three equivalent O(8)Li3Mn2 square pyramids,  an edgeedge with one O(11)Li4Mn2 octahedra,  an edgeedge with one O(2)Li4Mn2 octahedra,  an edgeedge with one O(4)Li4Mn2 octahedra, edges with two equivalent O(8)Li3Mn2 square pyramids, and edges with three equivalent O(1)Li3Mn2 square pyramids. The corner-sharing octahedral tilt angles range from 4-5°. In the seventh O site, O(7) is bonded to one Li(1), one Li(6), one Li(7), one Mn(2), and one Mn(4) atom to form OLi3Mn2 square pyramids that share  a cornercorner with one O(11)Li4Mn2 octahedra,  a cornercorner with one O(2)Li4Mn2 octahedra,  a cornercorner with one O(4)Li4Mn2 octahedra,  a cornercorner with one O(12)Li3Mn2 square pyramid,  a cornercorner with one O(5)Li3Mn2 square pyramid, corners with two equivalent O(10)Li3Mn2 square pyramids, corners with two equivalent O(3)Li3Mn2 square pyramids,  an edgeedge with one O(11)Li4Mn2 octahedra,  an edgeedge with one O(2)Li4Mn2 octahedra,  an edgeedge with one O(4)Li4Mn2 octahedra,  an edgeedge with one O(9)Li3Mn2 square pyramid, edges with two equivalent O(12)Li3Mn2 square pyramids, and edges with two equivalent O(5)Li3Mn2 square pyramids. The corner-sharing octahedral tilt angles range from 3-11°. In the eighth O site, O(8) is bonded to one Li(2), one Li(3), one Li(8), one Mn(1), and one Mn(3) atom to form OLi3Mn2 square pyramids that share  a cornercorner with one O(11)Li4Mn2 octahedra,  a cornercorner with one O(2)Li4Mn2 octahedra,  a cornercorner with one O(4)Li4Mn2 octahedra, corners with three equivalent O(1)Li3Mn2 square pyramids, corners with three equivalent O(6)Li3Mn2 square pyramids,  an edgeedge with one O(11)Li4Mn2 octahedra,  an edgeedge with one O(2)Li4Mn2 octahedra,  an edgeedge with one O(4)Li4Mn2 octahedra,  an edgeedge with one O(8)Li3Mn2 square pyramid, edges with two equivalent O(1)Li3Mn2 square pyramids, and edges with two equivalent O(6)Li3Mn2 square pyramids. The corner-sharing octahedral tilt angles range from 4-8°. In the ninth O site, O(9) is bonded to one Li(4), one Li(5), one Li(9), one Mn(2), and one Mn(4) atom to form a mixture of edge and corner-sharing OLi3Mn2 square pyramids. In the tenth O site, O(10) is bonded to one Li(4), one Li(5), one Li(9), one Mn(2), and one Mn(4) atom to form a mixture of edge and corner-sharing OLi3Mn2 square pyramids. In the eleventh O site, O(11) is bonded to one Li(1), one Li(2), one Li(6), one Li(7), one Mn(1), and one Mn(3) atom to form OLi4Mn2 octahedra that share  a cornercorner with one O(1)Li3Mn2 square pyramid,  a cornercorner with one O(12)Li3Mn2 square pyramid,  a cornercorner with one O(5)Li3Mn2 square pyramid,  a cornercorner with one O(6)Li3Mn2 square pyramid,  a cornercorner with one O(7)Li3Mn2 square pyramid,  a cornercorner with one O(8)Li3Mn2 square pyramid, edges with three equivalent O(2)Li4Mn2 octahedra, edges with three equivalent O(4)Li4Mn2 octahedra,  an edgeedge with one O(1)Li3Mn2 square pyramid,  an edgeedge with one O(12)Li3Mn2 square pyramid,  an edgeedge with one O(5)Li3Mn2 square pyramid,  an edgeedge with one O(6)Li3Mn2 square pyramid,  an edgeedge with one O(7)Li3Mn2 square pyramid, and  an edgeedge with one O(8)Li3Mn2 square pyramid. In the twelfth O site, O(12) is bonded to one Li(1), one Li(6), one Li(7), one Mn(2), and one Mn(4) atom to form OLi3Mn2 square pyramids that share  a cornercorner with one O(11)Li4Mn2 octahedra,  a cornercorner with one O(2)Li4Mn2 octahedra,  a cornercorner with one O(4)Li4Mn2 octahedra,  a cornercorner with one O(5)Li3Mn2 square pyramid,  a cornercorner with one O(7)Li3Mn2 square pyramid, corners with two equivalent O(3)Li3Mn2 square pyramids, corners with two equivalent O(9)Li3Mn2 square pyramids,  an edgeedge with one O(11)Li4Mn2 octahedra,  an edgeedge with one O(2)Li4Mn2 octahedra,  an edgeedge with one O(4)Li4Mn2 octahedra,  an edgeedge with one O(10)Li3Mn2 square pyramid, edges with two equivalent O(5)Li3Mn2 square pyramids, and edges with two equivalent O(7)Li3Mn2 square pyramids. The corner-sharing octahedral tilt angles range from 4-11°. is represented by the CIF file [CIF]
data_Li13Mn8O24
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   4.980
_cell_length_b   4.980
_cell_length_c   19.266
_cell_angle_alpha   87.188
_cell_angle_beta   87.188
_cell_angle_gamma   119.680
_symmetry_Int_Tables_number   1
_cell_volume   413.152
_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  0.508  0.007  0.250  1.0
  Li  Li1  1  0.375  0.868  0.624  1.0
  Li  Li2  1  0.993  0.492  0.750  1.0
  Li  Li3  1  0.754  0.246  0.500  1.0
  Li  Li4  1  0.902  0.098  0.000  1.0
  Li  Li5  1  0.250  0.750  0.000  1.0
  Li  Li6  1  0.346  0.161  0.750  1.0
  Li  Li7  1  0.154  0.339  0.250  1.0
  Li  Li8  1  0.839  0.654  0.250  1.0
  Li  Li9  1  0.661  0.846  0.750  1.0
  Li  Li10  1  0.093  0.907  0.500  1.0
  Li  Li11  1  0.132  0.625  0.376  1.0
  Li  Li12  1  0.598  0.402  0.000  1.0
  Mn  Mn13  1  0.455  0.293  0.375  1.0
  Mn  Mn14  1  0.958  0.792  0.875  1.0
  Mn  Mn15  1  0.786  0.954  0.375  1.0
  Mn  Mn16  1  0.293  0.457  0.875  1.0
  Mn  Mn17  1  0.707  0.545  0.625  1.0
  Mn  Mn18  1  0.208  0.042  0.125  1.0
  Mn  Mn19  1  0.046  0.214  0.625  1.0
  Mn  Mn20  1  0.543  0.707  0.125  1.0
  O  O21  1  0.463  0.972  0.431  1.0
  O  O22  1  0.786  0.287  0.317  1.0
  O  O23  1  0.977  0.477  0.933  1.0
  O  O24  1  0.354  0.502  0.682  1.0
  O  O25  1  0.498  0.646  0.318  1.0
  O  O26  1  0.271  0.771  0.817  1.0
  O  O27  1  0.396  0.247  0.572  1.0
  O  O28  1  0.854  0.981  0.182  1.0
  O  O29  1  0.019  0.146  0.818  1.0
  O  O30  1  0.761  0.904  0.570  1.0
  O  O31  1  0.753  0.604  0.428  1.0
  O  O32  1  0.896  0.769  0.068  1.0
  O  O33  1  0.096  0.239  0.430  1.0
  O  O34  1  0.269  0.396  0.068  1.0
  O  O35  1  0.231  0.104  0.932  1.0
  O  O36  1  0.998  0.857  0.681  1.0
  O  O37  1  0.143  0.002  0.319  1.0
  O  O38  1  0.604  0.731  0.932  1.0
  O  O39  1  0.713  0.214  0.683  1.0
  O  O40  1  0.481  0.354  0.182  1.0
  O  O41  1  0.646  0.519  0.818  1.0
  O  O42  1  0.028  0.537  0.569  1.0
  O  O43  1  0.229  0.729  0.183  1.0
  O  O44  1  0.523  0.023  0.067  1.0
[/CIF]
.
The structure described by Li13Mn8O24 crystallizes in the monoclinic C2 space group. There are nine inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(11), one O(12), one O(2), one O(4), one O(5), and one O(7) atom to form LiO6 octahedra that share  a cornercorner with one Li(2)O6 octahedra,  a cornercorner with one Mn(1)O6 octahedra,  a cornercorner with one Mn(2)O6 octahedra,  a cornercorner with one Mn(3)O6 octahedra,  a cornercorner with one Mn(4)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Mn(1)O6 octahedra,  an edgeedge with one Mn(2)O6 octahedra,  an edgeedge with one Mn(3)O6 octahedra,  an edgeedge with one Mn(4)O6 octahedra, edges with three equivalent Li(6)O6 octahedra, and edges with three equivalent Li(7)O6 octahedra. The corner-sharing octahedral tilt angles range from 6-11°. In the second Li site, Li(2) is bonded to one O(1), one O(11), one O(2), one O(4), one O(6), and one O(8) atom to form LiO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner with one Li(3)O6 octahedra,  a cornercorner with one Li(6)O6 octahedra,  a cornercorner with one Li(7)O6 octahedra,  a cornercorner with one Li(8)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(6)O6 octahedra,  an edgeedge with one Li(7)O6 octahedra,  an edgeedge with one Li(8)O6 octahedra, edges with three equivalent Mn(1)O6 octahedra, and edges with three equivalent Mn(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 6-12°. In the third Li site, Li(3) is bonded to two equivalent O(1), two equivalent O(6), and two equivalent O(8) atoms to form LiO6 octahedra that share corners with two equivalent Li(2)O6 octahedra, corners with two equivalent Mn(1)O6 octahedra, corners with two equivalent Mn(3)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Mn(1)O6 octahedra, edges with two equivalent Mn(3)O6 octahedra, and edges with three equivalent Li(8)O6 octahedra. The corner-sharing octahedral tilt angles range from 8-11°. In the fourth Li site, Li(4) is bonded to two equivalent O(10), two equivalent O(3), and two equivalent O(9) atoms to form LiO6 octahedra that share corners with two equivalent Mn(2)O6 octahedra, corners with two equivalent Mn(4)O6 octahedra, edges with two equivalent Mn(2)O6 octahedra, edges with two equivalent Mn(4)O6 octahedra, edges with three equivalent Li(5)O6 octahedra, and edges with three equivalent Li(9)O6 octahedra. The corner-sharing octahedral tilt angles range from 11-12°. In the fifth Li site, Li(5) is bonded to two equivalent O(10), two equivalent O(3), and two equivalent O(9) atoms to form LiO6 octahedra that share corners with two equivalent Mn(2)O6 octahedra, corners with two equivalent Mn(4)O6 octahedra, edges with two equivalent Mn(2)O6 octahedra, edges with two equivalent Mn(4)O6 octahedra, edges with three equivalent Li(4)O6 octahedra, and edges with three equivalent Li(9)O6 octahedra. The corner-sharing octahedral tilt angles are 10°. In the sixth Li site, Li(6) is bonded to one O(11), one O(12), one O(2), one O(4), one O(5), and one O(7) atom to form LiO6 octahedra that share  a cornercorner with one Li(2)O6 octahedra,  a cornercorner with one Mn(1)O6 octahedra,  a cornercorner with one Mn(2)O6 octahedra,  a cornercorner with one Mn(3)O6 octahedra,  a cornercorner with one Mn(4)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Mn(1)O6 octahedra,  an edgeedge with one Mn(2)O6 octahedra,  an edgeedge with one Mn(3)O6 octahedra,  an edgeedge with one Mn(4)O6 octahedra, edges with three equivalent Li(1)O6 octahedra, and edges with three equivalent Li(7)O6 octahedra. The corner-sharing octahedral tilt angles range from 6-12°. In the seventh Li site, Li(7) is bonded to one O(11), one O(12), one O(2), one O(4), one O(5), and one O(7) atom to form LiO6 octahedra that share  a cornercorner with one Li(2)O6 octahedra,  a cornercorner with one Mn(1)O6 octahedra,  a cornercorner with one Mn(2)O6 octahedra,  a cornercorner with one Mn(3)O6 octahedra,  a cornercorner with one Mn(4)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Mn(1)O6 octahedra,  an edgeedge with one Mn(2)O6 octahedra,  an edgeedge with one Mn(3)O6 octahedra,  an edgeedge with one Mn(4)O6 octahedra, edges with three equivalent Li(1)O6 octahedra, and edges with three equivalent Li(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-12°. In the eighth Li site, Li(8) is bonded to two equivalent O(1), two equivalent O(6), and two equivalent O(8) atoms to form LiO6 octahedra that share corners with two equivalent Li(2)O6 octahedra, corners with two equivalent Mn(1)O6 octahedra, corners with two equivalent Mn(3)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Mn(1)O6 octahedra, edges with two equivalent Mn(3)O6 octahedra, and edges with three equivalent Li(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 8-12°. In the ninth Li site, Li(9) is bonded to two equivalent O(10), two equivalent O(3), and two equivalent O(9) atoms to form LiO6 octahedra that share corners with two equivalent Mn(2)O6 octahedra, corners with two equivalent Mn(4)O6 octahedra, edges with two equivalent Mn(2)O6 octahedra, edges with two equivalent Mn(4)O6 octahedra, edges with three equivalent Li(4)O6 octahedra, and edges with three equivalent Li(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 11-13°. There are four inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to one O(1), one O(11), one O(2), one O(4), one O(6), and one O(8) atom to form MnO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner with one Li(3)O6 octahedra,  a cornercorner with one Li(6)O6 octahedra,  a cornercorner with one Li(7)O6 octahedra,  a cornercorner with one Li(8)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(6)O6 octahedra,  an edgeedge with one Li(7)O6 octahedra,  an edgeedge with one Li(8)O6 octahedra, edges with three equivalent Li(2)O6 octahedra, and edges with three equivalent Mn(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 6-10°. In the second Mn site, Mn(2) is bonded to one O(10), one O(12), one O(3), one O(5), one O(7), and one O(9) atom to form MnO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner with one Li(4)O6 octahedra,  a cornercorner with one Li(5)O6 octahedra,  a cornercorner with one Li(6)O6 octahedra,  a cornercorner with one Li(7)O6 octahedra,  a cornercorner with one Li(9)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Li(6)O6 octahedra,  an edgeedge with one Li(7)O6 octahedra,  an edgeedge with one Li(9)O6 octahedra, and edges with three equivalent Mn(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 10-13°. In the third Mn site, Mn(3) is bonded to one O(1), one O(11), one O(2), one O(4), one O(6), and one O(8) atom to form MnO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner with one Li(3)O6 octahedra,  a cornercorner with one Li(6)O6 octahedra,  a cornercorner with one Li(7)O6 octahedra,  a cornercorner with one Li(8)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(6)O6 octahedra,  an edgeedge with one Li(7)O6 octahedra,  an edgeedge with one Li(8)O6 octahedra, edges with three equivalent Li(2)O6 octahedra, and edges with three equivalent Mn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-11°. In the fourth Mn site, Mn(4) is bonded to one O(10), one O(12), one O(3), one O(5), one O(7), and one O(9) atom to form MnO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner with one Li(4)O6 octahedra,  a cornercorner with one Li(5)O6 octahedra,  a cornercorner with one Li(6)O6 octahedra,  a cornercorner with one Li(7)O6 octahedra,  a cornercorner with one Li(9)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Li(6)O6 octahedra,  an edgeedge with one Li(7)O6 octahedra,  an edgeedge with one Li(9)O6 octahedra, and edges with three equivalent Mn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 10-12°. There are twelve inequivalent O sites. In the first O site, O(1) is bonded to one Li(2), one Li(3), one Li(8), one Mn(1), and one Mn(3) atom to form OLi3Mn2 square pyramids that share  a cornercorner with one O(11)Li4Mn2 octahedra,  a cornercorner with one O(2)Li4Mn2 octahedra,  a cornercorner with one O(4)Li4Mn2 octahedra,  a cornercorner with one O(6)Li3Mn2 square pyramid, corners with two equivalent O(1)Li3Mn2 square pyramids, corners with three equivalent O(8)Li3Mn2 square pyramids,  an edgeedge with one O(11)Li4Mn2 octahedra,  an edgeedge with one O(2)Li4Mn2 octahedra,  an edgeedge with one O(4)Li4Mn2 octahedra, edges with two equivalent O(8)Li3Mn2 square pyramids, and edges with three equivalent O(6)Li3Mn2 square pyramids. The corner-sharing octahedral tilt angles range from 3-8°. In the second O site, O(2) is bonded to one Li(1), one Li(2), one Li(6), one Li(7), one Mn(1), and one Mn(3) atom to form OLi4Mn2 octahedra that share  a cornercorner with one O(1)Li3Mn2 square pyramid,  a cornercorner with one O(12)Li3Mn2 square pyramid,  a cornercorner with one O(5)Li3Mn2 square pyramid,  a cornercorner with one O(6)Li3Mn2 square pyramid,  a cornercorner with one O(7)Li3Mn2 square pyramid,  a cornercorner with one O(8)Li3Mn2 square pyramid, edges with three equivalent O(11)Li4Mn2 octahedra, edges with three equivalent O(4)Li4Mn2 octahedra,  an edgeedge with one O(1)Li3Mn2 square pyramid,  an edgeedge with one O(12)Li3Mn2 square pyramid,  an edgeedge with one O(5)Li3Mn2 square pyramid,  an edgeedge with one O(6)Li3Mn2 square pyramid,  an edgeedge with one O(7)Li3Mn2 square pyramid, and  an edgeedge with one O(8)Li3Mn2 square pyramid. In the third O site, O(3) is bonded to one Li(4), one Li(5), one Li(9), one Mn(2), and one Mn(4) atom to form a mixture of edge and corner-sharing OLi3Mn2 square pyramids. In the fourth O site, O(4) is bonded to one Li(1), one Li(2), one Li(6), one Li(7), one Mn(1), and one Mn(3) atom to form OLi4Mn2 octahedra that share  a cornercorner with one O(1)Li3Mn2 square pyramid,  a cornercorner with one O(12)Li3Mn2 square pyramid,  a cornercorner with one O(5)Li3Mn2 square pyramid,  a cornercorner with one O(6)Li3Mn2 square pyramid,  a cornercorner with one O(7)Li3Mn2 square pyramid,  a cornercorner with one O(8)Li3Mn2 square pyramid, edges with three equivalent O(11)Li4Mn2 octahedra, edges with three equivalent O(2)Li4Mn2 octahedra,  an edgeedge with one O(1)Li3Mn2 square pyramid,  an edgeedge with one O(12)Li3Mn2 square pyramid,  an edgeedge with one O(5)Li3Mn2 square pyramid,  an edgeedge with one O(6)Li3Mn2 square pyramid,  an edgeedge with one O(7)Li3Mn2 square pyramid, and  an edgeedge with one O(8)Li3Mn2 square pyramid. In the fifth O site, O(5) is bonded to one Li(1), one Li(6), one Li(7), one Mn(2), and one Mn(4) atom to form OLi3Mn2 square pyramids that share  a cornercorner with one O(11)Li4Mn2 octahedra,  a cornercorner with one O(2)Li4Mn2 octahedra,  a cornercorner with one O(4)Li4Mn2 octahedra,  a cornercorner with one O(12)Li3Mn2 square pyramid,  a cornercorner with one O(7)Li3Mn2 square pyramid, corners with two equivalent O(10)Li3Mn2 square pyramids, corners with two equivalent O(9)Li3Mn2 square pyramids,  an edgeedge with one O(11)Li4Mn2 octahedra,  an edgeedge with one O(2)Li4Mn2 octahedra,  an edgeedge with one O(4)Li4Mn2 octahedra,  an edgeedge with one O(3)Li3Mn2 square pyramid, edges with two equivalent O(12)Li3Mn2 square pyramids, and edges with two equivalent O(7)Li3Mn2 square pyramids. The corner-sharing octahedral tilt angles range from 1-8°. In the sixth O site, O(6) is bonded to one Li(2), one Li(3), one Li(8), one Mn(1), and one Mn(3) atom to form OLi3Mn2 square pyramids that share  a cornercorner with one O(11)Li4Mn2 octahedra,  a cornercorner with one O(2)Li4Mn2 octahedra,  a cornercorner with one O(4)Li4Mn2 octahedra,  a cornercorner with one O(1)Li3Mn2 square pyramid, corners with two equivalent O(6)Li3Mn2 square pyramids, corners with three equivalent O(8)Li3Mn2 square pyramids,  an edgeedge with one O(11)Li4Mn2 octahedra,  an edgeedge with one O(2)Li4Mn2 octahedra,  an edgeedge with one O(4)Li4Mn2 octahedra, edges with two equivalent O(8)Li3Mn2 square pyramids, and edges with three equivalent O(1)Li3Mn2 square pyramids. The corner-sharing octahedral tilt angles range from 4-5°. In the seventh O site, O(7) is bonded to one Li(1), one Li(6), one Li(7), one Mn(2), and one Mn(4) atom to form OLi3Mn2 square pyramids that share  a cornercorner with one O(11)Li4Mn2 octahedra,  a cornercorner with one O(2)Li4Mn2 octahedra,  a cornercorner with one O(4)Li4Mn2 octahedra,  a cornercorner with one O(12)Li3Mn2 square pyramid,  a cornercorner with one O(5)Li3Mn2 square pyramid, corners with two equivalent O(10)Li3Mn2 square pyramids, corners with two equivalent O(3)Li3Mn2 square pyramids,  an edgeedge with one O(11)Li4Mn2 octahedra,  an edgeedge with one O(2)Li4Mn2 octahedra,  an edgeedge with one O(4)Li4Mn2 octahedra,  an edgeedge with one O(9)Li3Mn2 square pyramid, edges with two equivalent O(12)Li3Mn2 square pyramids, and edges with two equivalent O(5)Li3Mn2 square pyramids. The corner-sharing octahedral tilt angles range from 3-11°. In the eighth O site, O(8) is bonded to one Li(2), one Li(3), one Li(8), one Mn(1), and one Mn(3) atom to form OLi3Mn2 square pyramids that share  a cornercorner with one O(11)Li4Mn2 octahedra,  a cornercorner with one O(2)Li4Mn2 octahedra,  a cornercorner with one O(4)Li4Mn2 octahedra, corners with three equivalent O(1)Li3Mn2 square pyramids, corners with three equivalent O(6)Li3Mn2 square pyramids,  an edgeedge with one O(11)Li4Mn2 octahedra,  an edgeedge with one O(2)Li4Mn2 octahedra,  an edgeedge with one O(4)Li4Mn2 octahedra,  an edgeedge with one O(8)Li3Mn2 square pyramid, edges with two equivalent O(1)Li3Mn2 square pyramids, and edges with two equivalent O(6)Li3Mn2 square pyramids. The corner-sharing octahedral tilt angles range from 4-8°. In the ninth O site, O(9) is bonded to one Li(4), one Li(5), one Li(9), one Mn(2), and one Mn(4) atom to form a mixture of edge and corner-sharing OLi3Mn2 square pyramids. In the tenth O site, O(10) is bonded to one Li(4), one Li(5), one Li(9), one Mn(2), and one Mn(4) atom to form a mixture of edge and corner-sharing OLi3Mn2 square pyramids. In the eleventh O site, O(11) is bonded to one Li(1), one Li(2), one Li(6), one Li(7), one Mn(1), and one Mn(3) atom to form OLi4Mn2 octahedra that share  a cornercorner with one O(1)Li3Mn2 square pyramid,  a cornercorner with one O(12)Li3Mn2 square pyramid,  a cornercorner with one O(5)Li3Mn2 square pyramid,  a cornercorner with one O(6)Li3Mn2 square pyramid,  a cornercorner with one O(7)Li3Mn2 square pyramid,  a cornercorner with one O(8)Li3Mn2 square pyramid, edges with three equivalent O(2)Li4Mn2 octahedra, edges with three equivalent O(4)Li4Mn2 octahedra,  an edgeedge with one O(1)Li3Mn2 square pyramid,  an edgeedge with one O(12)Li3Mn2 square pyramid,  an edgeedge with one O(5)Li3Mn2 square pyramid,  an edgeedge with one O(6)Li3Mn2 square pyramid,  an edgeedge with one O(7)Li3Mn2 square pyramid, and  an edgeedge with one O(8)Li3Mn2 square pyramid. In the twelfth O site, O(12) is bonded to one Li(1), one Li(6), one Li(7), one Mn(2), and one Mn(4) atom to form OLi3Mn2 square pyramids that share  a cornercorner with one O(11)Li4Mn2 octahedra,  a cornercorner with one O(2)Li4Mn2 octahedra,  a cornercorner with one O(4)Li4Mn2 octahedra,  a cornercorner with one O(5)Li3Mn2 square pyramid,  a cornercorner with one O(7)Li3Mn2 square pyramid, corners with two equivalent O(3)Li3Mn2 square pyramids, corners with two equivalent O(9)Li3Mn2 square pyramids,  an edgeedge with one O(11)Li4Mn2 octahedra,  an edgeedge with one O(2)Li4Mn2 octahedra,  an edgeedge with one O(4)Li4Mn2 octahedra,  an edgeedge with one O(10)Li3Mn2 square pyramid, edges with two equivalent O(5)Li3Mn2 square pyramids, and edges with two equivalent O(7)Li3Mn2 square pyramids. The corner-sharing octahedral tilt angles range from 4-11°. is represented by the CIF file [CIF]
data_Li13Mn8O24
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   4.980
_cell_length_b   4.980
_cell_length_c   19.266
_cell_angle_alpha   87.188
_cell_angle_beta   87.188
_cell_angle_gamma   119.680
_symmetry_Int_Tables_number   1
_cell_volume   413.152
_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  0.508  0.007  0.250  1.0
  Li  Li1  1  0.375  0.868  0.624  1.0
  Li  Li2  1  0.993  0.492  0.750  1.0
  Li  Li3  1  0.754  0.246  0.500  1.0
  Li  Li4  1  0.902  0.098  0.000  1.0
  Li  Li5  1  0.250  0.750  0.000  1.0
  Li  Li6  1  0.346  0.161  0.750  1.0
  Li  Li7  1  0.154  0.339  0.250  1.0
  Li  Li8  1  0.839  0.654  0.250  1.0
  Li  Li9  1  0.661  0.846  0.750  1.0
  Li  Li10  1  0.093  0.907  0.500  1.0
  Li  Li11  1  0.132  0.625  0.376  1.0
  Li  Li12  1  0.598  0.402  0.000  1.0
  Mn  Mn13  1  0.455  0.293  0.375  1.0
  Mn  Mn14  1  0.958  0.792  0.875  1.0
  Mn  Mn15  1  0.786  0.954  0.375  1.0
  Mn  Mn16  1  0.293  0.457  0.875  1.0
  Mn  Mn17  1  0.707  0.545  0.625  1.0
  Mn  Mn18  1  0.208  0.042  0.125  1.0
  Mn  Mn19  1  0.046  0.214  0.625  1.0
  Mn  Mn20  1  0.543  0.707  0.125  1.0
  O  O21  1  0.463  0.972  0.431  1.0
  O  O22  1  0.786  0.287  0.317  1.0
  O  O23  1  0.977  0.477  0.933  1.0
  O  O24  1  0.354  0.502  0.682  1.0
  O  O25  1  0.498  0.646  0.318  1.0
  O  O26  1  0.271  0.771  0.817  1.0
  O  O27  1  0.396  0.247  0.572  1.0
  O  O28  1  0.854  0.981  0.182  1.0
  O  O29  1  0.019  0.146  0.818  1.0
  O  O30  1  0.761  0.904  0.570  1.0
  O  O31  1  0.753  0.604  0.428  1.0
  O  O32  1  0.896  0.769  0.068  1.0
  O  O33  1  0.096  0.239  0.430  1.0
  O  O34  1  0.269  0.396  0.068  1.0
  O  O35  1  0.231  0.104  0.932  1.0
  O  O36  1  0.998  0.857  0.681  1.0
  O  O37  1  0.143  0.002  0.319  1.0
  O  O38  1  0.604  0.731  0.932  1.0
  O  O39  1  0.713  0.214  0.683  1.0
  O  O40  1  0.481  0.354  0.182  1.0
  O  O41  1  0.646  0.519  0.818  1.0
  O  O42  1  0.028  0.537  0.569  1.0
  O  O43  1  0.229  0.729  0.183  1.0
  O  O44  1  0.523  0.023  0.067  1.0
[/CIF]
.