The crystal structure described by Li2Mn15O32 crystallizes in the trigonal R3m space group. There are two inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(13) and three equivalent O(1) atoms to form LiO4 tetrahedra that share corners with three equivalent Mn(6)O6 octahedra and corners with six equivalent Mn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 55-60°. In the second Li site, Li(2) is bonded to one O(6) and three equivalent O(15) atoms to form LiO4 tetrahedra that share corners with three equivalent Mn(1)O6 octahedra and corners with six equivalent Mn(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 55-60°. There are seven inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to one O(2), one O(6), two equivalent O(1), and two equivalent O(4) atoms to form MnO6 octahedra that share  a cornercorner with one Li(2)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra, corners with two equivalent Mn(5)O4 tetrahedra, and edges with four equivalent Mn(1)O6 octahedra. In the second Mn site, Mn(2) is bonded to one O(10), one O(5), two equivalent O(3), and two equivalent O(8) atoms to form MnO6 octahedra that share  a cornercorner with one Mn(5)O4 tetrahedra,  an edgeedge with one Mn(4)O6 octahedra, and edges with four equivalent Mn(2)O6 octahedra. In the third Mn site, Mn(3) is bonded to one O(14), one O(9), two equivalent O(12), and two equivalent O(7) atoms to form edge-sharing MnO6 octahedra. In the fourth Mn site, Mn(4) is bonded to three equivalent O(7) and three equivalent O(8) atoms to form edge-sharing MnO6 octahedra. In the fifth Mn site, Mn(5) is bonded to one O(10) and three equivalent O(4) atoms to form corner-sharing MnO4 tetrahedra. The corner-sharing octahedral tilt angles range from 58-59°. In the sixth Mn site, Mn(6) is bonded to one O(13), one O(16), two equivalent O(11), and two equivalent O(15) atoms to form MnO6 octahedra that share  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(2)O4 tetrahedra,  an edgeedge with one Mn(7)O6 octahedra, and edges with four equivalent Mn(6)O6 octahedra. In the seventh Mn site, Mn(7) is bonded to three equivalent O(11) and three equivalent O(12) atoms to form edge-sharing MnO6 octahedra. There are sixteen inequivalent O sites. In the first O site, O(1) is bonded in a trigonal planar geometry to one Li(1) and two equivalent Mn(1) atoms. In the second O site, O(2) is bonded in a distorted T-shaped geometry to three equivalent Mn(1) atoms. In the third O site, O(3) is bonded in a water-like geometry to two equivalent Mn(2) atoms. In the fourth O site, O(4) is bonded in a trigonal planar geometry to one Mn(5) and two equivalent Mn(1) atoms. In the fifth O site, O(5) is bonded in a distorted T-shaped geometry to three equivalent Mn(2) atoms. In the sixth O site, O(6) is bonded in a distorted tetrahedral geometry to one Li(2) and three equivalent Mn(1) atoms. In the seventh O site, O(7) is bonded in a distorted T-shaped geometry to one Mn(4) and two equivalent Mn(3) atoms. In the eighth O site, O(8) is bonded in a distorted trigonal non-coplanar geometry to one Mn(4) and two equivalent Mn(2) atoms. In the ninth O site, O(9) is bonded in a distorted T-shaped geometry to three equivalent Mn(3) atoms. In the tenth O site, O(10) is bonded in a distorted trigonal pyramidal geometry to one Mn(5) and three equivalent Mn(2) atoms. In the eleventh O site, O(11) is bonded in a distorted trigonal non-coplanar geometry to one Mn(7) and two equivalent Mn(6) atoms. In the twelfth O site, O(12) is bonded in a distorted T-shaped geometry to one Mn(7) and two equivalent Mn(3) atoms. In the thirteenth O site, O(13) is bonded in a distorted trigonal pyramidal geometry to one Li(1) and three equivalent Mn(6) atoms. In the fourteenth O site, O(14) is bonded in a distorted T-shaped geometry to three equivalent Mn(3) atoms. In the fifteenth O site, O(15) is bonded in a trigonal planar geometry to one Li(2) and two equivalent Mn(6) atoms. In the sixteenth O site, O(16) is bonded in a distorted T-shaped geometry to three equivalent Mn(6) atoms. is represented by the CIF card [CIF]
data_Li2Mn15O32
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.831
_cell_length_b   5.831
_cell_length_c   23.365
_cell_angle_alpha   60.055
_cell_angle_beta   60.055
_cell_angle_gamma   60.000
_symmetry_Int_Tables_number   1
_cell_volume   562.300
_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  0.124  0.124  0.032  1.0
  Li  Li1  1  0.878  0.878  0.966  1.0
  Mn  Mn2  1  0.008  0.500  0.123  1.0
  Mn  Mn3  1  0.500  0.500  0.123  1.0
  Mn  Mn4  1  0.007  0.497  0.375  1.0
  Mn  Mn5  1  0.500  0.008  0.123  1.0
  Mn  Mn6  1  0.497  0.497  0.375  1.0
  Mn  Mn7  1  1.000  0.500  0.625  1.0
  Mn  Mn8  1  0.501  0.501  0.499  1.0
  Mn  Mn9  1  0.881  0.881  0.214  1.0
  Mn  Mn10  1  0.497  0.007  0.375  1.0
  Mn  Mn11  1  0.500  0.500  0.625  1.0
  Mn  Mn12  1  0.994  0.501  0.876  1.0
  Mn  Mn13  1  0.500  1.000  0.625  1.0
  Mn  Mn14  1  0.498  0.498  0.751  1.0
  Mn  Mn15  1  0.501  0.501  0.876  1.0
  Mn  Mn16  1  0.501  0.994  0.876  1.0
  O  O17  1  0.246  0.246  0.073  1.0
  O  O18  1  0.265  0.265  0.177  1.0
  O  O19  1  0.246  0.716  0.073  1.0
  O  O20  1  0.716  0.246  0.073  1.0
  O  O21  1  0.244  0.244  0.325  1.0
  O  O22  1  0.285  0.747  0.180  1.0
  O  O23  1  0.263  0.263  0.428  1.0
  O  O24  1  0.244  0.713  0.325  1.0
  O  O25  1  0.737  0.737  0.072  1.0
  O  O26  1  0.747  0.285  0.180  1.0
  O  O27  1  0.713  0.244  0.325  1.0
  O  O28  1  0.747  0.747  0.180  1.0
  O  O29  1  0.265  0.265  0.566  1.0
  O  O30  1  0.298  0.735  0.433  1.0
  O  O31  1  0.265  0.265  0.676  1.0
  O  O32  1  0.265  0.705  0.566  1.0
  O  O33  1  0.740  0.740  0.320  1.0
  O  O34  1  0.735  0.298  0.433  1.0
  O  O35  1  0.705  0.265  0.566  1.0
  O  O36  1  0.735  0.735  0.433  1.0
  O  O37  1  0.266  0.266  0.817  1.0
  O  O38  1  0.295  0.735  0.684  1.0
  O  O39  1  0.262  0.262  0.929  1.0
  O  O40  1  0.735  0.735  0.574  1.0
  O  O41  1  0.266  0.702  0.817  1.0
  O  O42  1  0.735  0.295  0.684  1.0
  O  O43  1  0.702  0.266  0.817  1.0
  O  O44  1  0.735  0.735  0.684  1.0
  O  O45  1  0.282  0.757  0.926  1.0
  O  O46  1  0.735  0.735  0.824  1.0
  O  O47  1  0.757  0.282  0.926  1.0
  O  O48  1  0.757  0.757  0.926  1.0
[/CIF]
.
The crystal structure described by Li2Mn15O32 crystallizes in the trigonal R3m space group. There are two inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(13) and three equivalent O(1) atoms to form LiO4 tetrahedra that share corners with three equivalent Mn(6)O6 octahedra and corners with six equivalent Mn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 55-60°. In the second Li site, Li(2) is bonded to one O(6) and three equivalent O(15) atoms to form LiO4 tetrahedra that share corners with three equivalent Mn(1)O6 octahedra and corners with six equivalent Mn(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 55-60°. There are seven inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to one O(2), one O(6), two equivalent O(1), and two equivalent O(4) atoms to form MnO6 octahedra that share  a cornercorner with one Li(2)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra, corners with two equivalent Mn(5)O4 tetrahedra, and edges with four equivalent Mn(1)O6 octahedra. In the second Mn site, Mn(2) is bonded to one O(10), one O(5), two equivalent O(3), and two equivalent O(8) atoms to form MnO6 octahedra that share  a cornercorner with one Mn(5)O4 tetrahedra,  an edgeedge with one Mn(4)O6 octahedra, and edges with four equivalent Mn(2)O6 octahedra. In the third Mn site, Mn(3) is bonded to one O(14), one O(9), two equivalent O(12), and two equivalent O(7) atoms to form edge-sharing MnO6 octahedra. In the fourth Mn site, Mn(4) is bonded to three equivalent O(7) and three equivalent O(8) atoms to form edge-sharing MnO6 octahedra. In the fifth Mn site, Mn(5) is bonded to one O(10) and three equivalent O(4) atoms to form corner-sharing MnO4 tetrahedra. The corner-sharing octahedral tilt angles range from 58-59°. In the sixth Mn site, Mn(6) is bonded to one O(13), one O(16), two equivalent O(11), and two equivalent O(15) atoms to form MnO6 octahedra that share  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(2)O4 tetrahedra,  an edgeedge with one Mn(7)O6 octahedra, and edges with four equivalent Mn(6)O6 octahedra. In the seventh Mn site, Mn(7) is bonded to three equivalent O(11) and three equivalent O(12) atoms to form edge-sharing MnO6 octahedra. There are sixteen inequivalent O sites. In the first O site, O(1) is bonded in a trigonal planar geometry to one Li(1) and two equivalent Mn(1) atoms. In the second O site, O(2) is bonded in a distorted T-shaped geometry to three equivalent Mn(1) atoms. In the third O site, O(3) is bonded in a water-like geometry to two equivalent Mn(2) atoms. In the fourth O site, O(4) is bonded in a trigonal planar geometry to one Mn(5) and two equivalent Mn(1) atoms. In the fifth O site, O(5) is bonded in a distorted T-shaped geometry to three equivalent Mn(2) atoms. In the sixth O site, O(6) is bonded in a distorted tetrahedral geometry to one Li(2) and three equivalent Mn(1) atoms. In the seventh O site, O(7) is bonded in a distorted T-shaped geometry to one Mn(4) and two equivalent Mn(3) atoms. In the eighth O site, O(8) is bonded in a distorted trigonal non-coplanar geometry to one Mn(4) and two equivalent Mn(2) atoms. In the ninth O site, O(9) is bonded in a distorted T-shaped geometry to three equivalent Mn(3) atoms. In the tenth O site, O(10) is bonded in a distorted trigonal pyramidal geometry to one Mn(5) and three equivalent Mn(2) atoms. In the eleventh O site, O(11) is bonded in a distorted trigonal non-coplanar geometry to one Mn(7) and two equivalent Mn(6) atoms. In the twelfth O site, O(12) is bonded in a distorted T-shaped geometry to one Mn(7) and two equivalent Mn(3) atoms. In the thirteenth O site, O(13) is bonded in a distorted trigonal pyramidal geometry to one Li(1) and three equivalent Mn(6) atoms. In the fourteenth O site, O(14) is bonded in a distorted T-shaped geometry to three equivalent Mn(3) atoms. In the fifteenth O site, O(15) is bonded in a trigonal planar geometry to one Li(2) and two equivalent Mn(6) atoms. In the sixteenth O site, O(16) is bonded in a distorted T-shaped geometry to three equivalent Mn(6) atoms. is represented by the CIF card [CIF]
data_Li2Mn15O32
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.831
_cell_length_b   5.831
_cell_length_c   23.365
_cell_angle_alpha   60.055
_cell_angle_beta   60.055
_cell_angle_gamma   60.000
_symmetry_Int_Tables_number   1
_cell_volume   562.300
_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  0.124  0.124  0.032  1.0
  Li  Li1  1  0.878  0.878  0.966  1.0
  Mn  Mn2  1  0.008  0.500  0.123  1.0
  Mn  Mn3  1  0.500  0.500  0.123  1.0
  Mn  Mn4  1  0.007  0.497  0.375  1.0
  Mn  Mn5  1  0.500  0.008  0.123  1.0
  Mn  Mn6  1  0.497  0.497  0.375  1.0
  Mn  Mn7  1  1.000  0.500  0.625  1.0
  Mn  Mn8  1  0.501  0.501  0.499  1.0
  Mn  Mn9  1  0.881  0.881  0.214  1.0
  Mn  Mn10  1  0.497  0.007  0.375  1.0
  Mn  Mn11  1  0.500  0.500  0.625  1.0
  Mn  Mn12  1  0.994  0.501  0.876  1.0
  Mn  Mn13  1  0.500  1.000  0.625  1.0
  Mn  Mn14  1  0.498  0.498  0.751  1.0
  Mn  Mn15  1  0.501  0.501  0.876  1.0
  Mn  Mn16  1  0.501  0.994  0.876  1.0
  O  O17  1  0.246  0.246  0.073  1.0
  O  O18  1  0.265  0.265  0.177  1.0
  O  O19  1  0.246  0.716  0.073  1.0
  O  O20  1  0.716  0.246  0.073  1.0
  O  O21  1  0.244  0.244  0.325  1.0
  O  O22  1  0.285  0.747  0.180  1.0
  O  O23  1  0.263  0.263  0.428  1.0
  O  O24  1  0.244  0.713  0.325  1.0
  O  O25  1  0.737  0.737  0.072  1.0
  O  O26  1  0.747  0.285  0.180  1.0
  O  O27  1  0.713  0.244  0.325  1.0
  O  O28  1  0.747  0.747  0.180  1.0
  O  O29  1  0.265  0.265  0.566  1.0
  O  O30  1  0.298  0.735  0.433  1.0
  O  O31  1  0.265  0.265  0.676  1.0
  O  O32  1  0.265  0.705  0.566  1.0
  O  O33  1  0.740  0.740  0.320  1.0
  O  O34  1  0.735  0.298  0.433  1.0
  O  O35  1  0.705  0.265  0.566  1.0
  O  O36  1  0.735  0.735  0.433  1.0
  O  O37  1  0.266  0.266  0.817  1.0
  O  O38  1  0.295  0.735  0.684  1.0
  O  O39  1  0.262  0.262  0.929  1.0
  O  O40  1  0.735  0.735  0.574  1.0
  O  O41  1  0.266  0.702  0.817  1.0
  O  O42  1  0.735  0.295  0.684  1.0
  O  O43  1  0.702  0.266  0.817  1.0
  O  O44  1  0.735  0.735  0.684  1.0
  O  O45  1  0.282  0.757  0.926  1.0
  O  O46  1  0.735  0.735  0.824  1.0
  O  O47  1  0.757  0.282  0.926  1.0
  O  O48  1  0.757  0.757  0.926  1.0
[/CIF]
.