The compound described by LiMn16O32 crystallizes in the monoclinic Cm space group. Li(1) is bonded to one O(22), one O(8), and two equivalent O(24) atoms to form LiO4 tetrahedra that share corners with two equivalent Mn(10)O6 octahedra, corners with two equivalent Mn(2)O6 octahedra, corners with three equivalent Mn(1)O6 octahedra, and corners with four equivalent Mn(12)O6 octahedra. The corner-sharing octahedral tilt angles range from 56-66°. There are twelve inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to one O(22), one O(3), two equivalent O(1), and two equivalent O(24) atoms to form MnO6 octahedra that share corners with three equivalent Li(1)O4 tetrahedra,  an edgeedge with one Mn(10)O6 octahedra, edges with two equivalent Mn(12)O6 octahedra, and edges with two equivalent Mn(2)O6 octahedra. In the second Mn site, Mn(2) is bonded to one O(1), one O(2), one O(3), one O(5), one O(6), and one O(8) atom to form MnO6 octahedra that share  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Mn(9)O4 tetrahedra,  an edgeedge with one Mn(1)O6 octahedra,  an edgeedge with one Mn(4)O6 octahedra, and edges with two equivalent Mn(2)O6 octahedra. In the third Mn site, Mn(3) is bonded to one O(11), one O(12), one O(13), one O(4), one O(7), and one O(9) atom to form MnO6 octahedra that share  a cornercorner with one Mn(9)O4 tetrahedra,  an edgeedge with one Mn(4)O6 octahedra,  an edgeedge with one Mn(7)O6 octahedra, edges with two equivalent Mn(3)O6 octahedra, and edges with two equivalent Mn(6)O6 octahedra. In the fourth Mn site, Mn(4) is bonded to one O(5), one O(9), two equivalent O(4), and two equivalent O(6) atoms to form MnO6 octahedra that share corners with three equivalent Mn(6)O6 octahedra, corners with three equivalent Mn(9)O4 tetrahedra, edges with two equivalent Mn(2)O6 octahedra, and edges with two equivalent Mn(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-13°. In the fifth Mn site, Mn(5) is bonded to one O(14), one O(19), two equivalent O(10), and two equivalent O(18) atoms to form edge-sharing MnO6 octahedra. In the sixth Mn site, Mn(6) is bonded to one O(11), one O(9), two equivalent O(13), and two equivalent O(4) atoms to form a mixture of edge and corner-sharing MnO6 octahedra. The corner-sharing octahedral tilt angles range from 4-15°. In the seventh Mn site, Mn(7) is bonded to one O(11), one O(15), two equivalent O(10), and two equivalent O(13) atoms to form a mixture of edge and corner-sharing MnO6 octahedra. The corner-sharing octahedral tilt angles range from 4-15°. In the eighth Mn site, Mn(8) is bonded to one O(10), one O(14), one O(15), one O(16), one O(18), and one O(19) atom to form edge-sharing MnO6 octahedra. In the ninth Mn site, Mn(9) is bonded to one O(12), one O(5), and two equivalent O(6) atoms to form corner-sharing MnO4 tetrahedra. The corner-sharing octahedral tilt angles range from 57-59°. In the tenth Mn site, Mn(10) is bonded to one O(20), one O(23), two equivalent O(17), and two equivalent O(24) atoms to form MnO6 octahedra that share corners with two equivalent Li(1)O4 tetrahedra,  an edgeedge with one Mn(1)O6 octahedra,  an edgeedge with one Mn(11)O6 octahedra, and edges with four equivalent Mn(12)O6 octahedra. In the eleventh Mn site, Mn(11) is bonded to one O(16), one O(21), two equivalent O(17), and two equivalent O(18) atoms to form edge-sharing MnO6 octahedra. In the twelfth Mn site, Mn(12) is bonded to one O(17), one O(20), one O(21), one O(22), one O(23), and one O(24) atom to form MnO6 octahedra that share corners with two equivalent Li(1)O4 tetrahedra,  an edgeedge with one Mn(1)O6 octahedra,  an edgeedge with one Mn(11)O6 octahedra, edges with two equivalent Mn(10)O6 octahedra, and edges with two equivalent Mn(12)O6 octahedra. There are twenty-four inequivalent O sites. In the first O site, O(1) is bonded in a water-like geometry to one Mn(1) and one Mn(2) atom. In the second O site, O(2) is bonded in a water-like geometry to two equivalent Mn(2) atoms. In the third O site, O(3) is bonded in a distorted T-shaped geometry to one Mn(1) and two equivalent Mn(2) atoms. In the fourth O site, O(4) is bonded in a T-shaped geometry to one Mn(3), one Mn(4), and one Mn(6) atom. In the fifth O site, O(5) is bonded in a distorted trigonal pyramidal geometry to one Mn(4), one Mn(9), and two equivalent Mn(2) atoms. In the sixth O site, O(6) is bonded in a trigonal planar geometry to one Mn(2), one Mn(4), and one Mn(9) atom. In the seventh O site, O(7) is bonded in a water-like geometry to two equivalent Mn(3) atoms. In the eighth O site, O(8) is bonded in a trigonal planar geometry to one Li(1) and two equivalent Mn(2) atoms. In the ninth O site, O(9) is bonded in a rectangular see-saw-like geometry to one Mn(4), one Mn(6), and two equivalent Mn(3) atoms. In the tenth O site, O(10) is bonded in a distorted trigonal non-coplanar geometry to one Mn(5), one Mn(7), and one Mn(8) atom. In the eleventh O site, O(11) is bonded in a rectangular see-saw-like geometry to one Mn(6), one Mn(7), and two equivalent Mn(3) atoms. In the twelfth O site, O(12) is bonded in a trigonal planar geometry to one Mn(9) and two equivalent Mn(3) atoms. In the thirteenth O site, O(13) is bonded in a T-shaped geometry to one Mn(3), one Mn(6), and one Mn(7) atom. In the fourteenth O site, O(14) is bonded in a distorted T-shaped geometry to one Mn(5) and two equivalent Mn(8) atoms. In the fifteenth O site, O(15) is bonded in a distorted T-shaped geometry to one Mn(7) and two equivalent Mn(8) atoms. In the sixteenth O site, O(16) is bonded in a distorted T-shaped geometry to one Mn(11) and two equivalent Mn(8) atoms. In the seventeenth O site, O(17) is bonded in a distorted T-shaped geometry to one Mn(10), one Mn(11), and one Mn(12) atom. In the eighteenth O site, O(18) is bonded in a distorted T-shaped geometry to one Mn(11), one Mn(5), and one Mn(8) atom. In the nineteenth O site, O(19) is bonded in a distorted T-shaped geometry to one Mn(5) and two equivalent Mn(8) atoms. In the twentieth O site, O(20) is bonded in a distorted T-shaped geometry to one Mn(10) and two equivalent Mn(12) atoms. In the twenty-first O site, O(21) is bonded in a distorted T-shaped geometry to one Mn(11) and two equivalent Mn(12) atoms. In the twenty-second O site, O(22) is bonded to one Li(1), one Mn(1), and two equivalent Mn(12) atoms to form a mixture of distorted edge and corner-sharing OLiMn3 tetrahedra. In the twenty-third O site, O(23) is bonded in a distorted T-shaped geometry to one Mn(10) and two equivalent Mn(12) atoms. In the twenty-fourth O site, O(24) is bonded to one Li(1), one Mn(1), one Mn(10), and one Mn(12) atom to form a mixture of distorted edge and corner-sharing OLiMn3 tetrahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_LiMn16O32
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.889
_cell_length_b   5.889
_cell_length_c   19.181
_cell_angle_alpha   82.678
_cell_angle_beta   82.678
_cell_angle_gamma   58.851
_symmetry_Int_Tables_number   1
_cell_volume   563.218
_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  0.154  0.154  0.027  1.0
  Mn  Mn1  1  0.496  0.496  0.995  1.0
  Mn  Mn2  1  0.870  0.376  0.876  1.0
  Mn  Mn3  1  0.376  0.870  0.876  1.0
  Mn  Mn4  1  0.620  0.128  0.623  1.0
  Mn  Mn5  1  0.241  0.241  0.745  1.0
  Mn  Mn6  1  0.128  0.620  0.623  1.0
  Mn  Mn7  1  0.877  0.877  0.377  1.0
  Mn  Mn8  1  0.626  0.626  0.623  1.0
  Mn  Mn9  1  0.012  0.012  0.505  1.0
  Mn  Mn10  1  0.376  0.877  0.376  1.0
  Mn  Mn11  1  0.894  0.894  0.781  1.0
  Mn  Mn12  1  0.877  0.376  0.376  1.0
  Mn  Mn13  1  0.624  0.624  0.126  1.0
  Mn  Mn14  1  0.750  0.750  0.251  1.0
  Mn  Mn15  1  0.124  0.625  0.126  1.0
  Mn  Mn16  1  0.625  0.124  0.126  1.0
  O  O17  1  0.701  0.224  0.939  1.0
  O  O18  1  0.571  0.571  0.823  1.0
  O  O19  1  0.224  0.701  0.939  1.0
  O  O20  1  0.667  0.667  0.936  1.0
  O  O21  1  0.457  0.955  0.679  1.0
  O  O22  1  0.072  0.072  0.814  1.0
  O  O23  1  0.522  0.058  0.811  1.0
  O  O24  1  0.324  0.324  0.570  1.0
  O  O25  1  0.179  0.179  0.927  1.0
  O  O26  1  0.955  0.457  0.679  1.0
  O  O27  1  0.058  0.522  0.811  1.0
  O  O28  1  0.423  0.423  0.682  1.0
  O  O29  1  0.176  0.735  0.435  1.0
  O  O30  1  0.830  0.830  0.565  1.0
  O  O31  1  0.932  0.932  0.680  1.0
  O  O32  1  0.292  0.795  0.568  1.0
  O  O33  1  0.735  0.176  0.435  1.0
  O  O34  1  0.056  0.056  0.325  1.0
  O  O35  1  0.795  0.292  0.568  1.0
  O  O36  1  0.172  0.172  0.436  1.0
  O  O37  1  0.584  0.584  0.315  1.0
  O  O38  1  0.925  0.479  0.183  1.0
  O  O39  1  0.021  0.578  0.318  1.0
  O  O40  1  0.696  0.696  0.428  1.0
  O  O41  1  0.804  0.804  0.074  1.0
  O  O42  1  0.479  0.925  0.183  1.0
  O  O43  1  0.917  0.917  0.186  1.0
  O  O44  1  0.578  0.021  0.318  1.0
  O  O45  1  0.329  0.329  0.065  1.0
  O  O46  1  0.444  0.444  0.176  1.0
  O  O47  1  0.775  0.323  0.069  1.0
  O  O48  1  0.323  0.775  0.069  1.0
[/CIF]
.
The compound described by LiMn16O32 crystallizes in the monoclinic Cm space group. Li(1) is bonded to one O(22), one O(8), and two equivalent O(24) atoms to form LiO4 tetrahedra that share corners with two equivalent Mn(10)O6 octahedra, corners with two equivalent Mn(2)O6 octahedra, corners with three equivalent Mn(1)O6 octahedra, and corners with four equivalent Mn(12)O6 octahedra. The corner-sharing octahedral tilt angles range from 56-66°. There are twelve inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to one O(22), one O(3), two equivalent O(1), and two equivalent O(24) atoms to form MnO6 octahedra that share corners with three equivalent Li(1)O4 tetrahedra,  an edgeedge with one Mn(10)O6 octahedra, edges with two equivalent Mn(12)O6 octahedra, and edges with two equivalent Mn(2)O6 octahedra. In the second Mn site, Mn(2) is bonded to one O(1), one O(2), one O(3), one O(5), one O(6), and one O(8) atom to form MnO6 octahedra that share  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Mn(9)O4 tetrahedra,  an edgeedge with one Mn(1)O6 octahedra,  an edgeedge with one Mn(4)O6 octahedra, and edges with two equivalent Mn(2)O6 octahedra. In the third Mn site, Mn(3) is bonded to one O(11), one O(12), one O(13), one O(4), one O(7), and one O(9) atom to form MnO6 octahedra that share  a cornercorner with one Mn(9)O4 tetrahedra,  an edgeedge with one Mn(4)O6 octahedra,  an edgeedge with one Mn(7)O6 octahedra, edges with two equivalent Mn(3)O6 octahedra, and edges with two equivalent Mn(6)O6 octahedra. In the fourth Mn site, Mn(4) is bonded to one O(5), one O(9), two equivalent O(4), and two equivalent O(6) atoms to form MnO6 octahedra that share corners with three equivalent Mn(6)O6 octahedra, corners with three equivalent Mn(9)O4 tetrahedra, edges with two equivalent Mn(2)O6 octahedra, and edges with two equivalent Mn(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-13°. In the fifth Mn site, Mn(5) is bonded to one O(14), one O(19), two equivalent O(10), and two equivalent O(18) atoms to form edge-sharing MnO6 octahedra. In the sixth Mn site, Mn(6) is bonded to one O(11), one O(9), two equivalent O(13), and two equivalent O(4) atoms to form a mixture of edge and corner-sharing MnO6 octahedra. The corner-sharing octahedral tilt angles range from 4-15°. In the seventh Mn site, Mn(7) is bonded to one O(11), one O(15), two equivalent O(10), and two equivalent O(13) atoms to form a mixture of edge and corner-sharing MnO6 octahedra. The corner-sharing octahedral tilt angles range from 4-15°. In the eighth Mn site, Mn(8) is bonded to one O(10), one O(14), one O(15), one O(16), one O(18), and one O(19) atom to form edge-sharing MnO6 octahedra. In the ninth Mn site, Mn(9) is bonded to one O(12), one O(5), and two equivalent O(6) atoms to form corner-sharing MnO4 tetrahedra. The corner-sharing octahedral tilt angles range from 57-59°. In the tenth Mn site, Mn(10) is bonded to one O(20), one O(23), two equivalent O(17), and two equivalent O(24) atoms to form MnO6 octahedra that share corners with two equivalent Li(1)O4 tetrahedra,  an edgeedge with one Mn(1)O6 octahedra,  an edgeedge with one Mn(11)O6 octahedra, and edges with four equivalent Mn(12)O6 octahedra. In the eleventh Mn site, Mn(11) is bonded to one O(16), one O(21), two equivalent O(17), and two equivalent O(18) atoms to form edge-sharing MnO6 octahedra. In the twelfth Mn site, Mn(12) is bonded to one O(17), one O(20), one O(21), one O(22), one O(23), and one O(24) atom to form MnO6 octahedra that share corners with two equivalent Li(1)O4 tetrahedra,  an edgeedge with one Mn(1)O6 octahedra,  an edgeedge with one Mn(11)O6 octahedra, edges with two equivalent Mn(10)O6 octahedra, and edges with two equivalent Mn(12)O6 octahedra. There are twenty-four inequivalent O sites. In the first O site, O(1) is bonded in a water-like geometry to one Mn(1) and one Mn(2) atom. In the second O site, O(2) is bonded in a water-like geometry to two equivalent Mn(2) atoms. In the third O site, O(3) is bonded in a distorted T-shaped geometry to one Mn(1) and two equivalent Mn(2) atoms. In the fourth O site, O(4) is bonded in a T-shaped geometry to one Mn(3), one Mn(4), and one Mn(6) atom. In the fifth O site, O(5) is bonded in a distorted trigonal pyramidal geometry to one Mn(4), one Mn(9), and two equivalent Mn(2) atoms. In the sixth O site, O(6) is bonded in a trigonal planar geometry to one Mn(2), one Mn(4), and one Mn(9) atom. In the seventh O site, O(7) is bonded in a water-like geometry to two equivalent Mn(3) atoms. In the eighth O site, O(8) is bonded in a trigonal planar geometry to one Li(1) and two equivalent Mn(2) atoms. In the ninth O site, O(9) is bonded in a rectangular see-saw-like geometry to one Mn(4), one Mn(6), and two equivalent Mn(3) atoms. In the tenth O site, O(10) is bonded in a distorted trigonal non-coplanar geometry to one Mn(5), one Mn(7), and one Mn(8) atom. In the eleventh O site, O(11) is bonded in a rectangular see-saw-like geometry to one Mn(6), one Mn(7), and two equivalent Mn(3) atoms. In the twelfth O site, O(12) is bonded in a trigonal planar geometry to one Mn(9) and two equivalent Mn(3) atoms. In the thirteenth O site, O(13) is bonded in a T-shaped geometry to one Mn(3), one Mn(6), and one Mn(7) atom. In the fourteenth O site, O(14) is bonded in a distorted T-shaped geometry to one Mn(5) and two equivalent Mn(8) atoms. In the fifteenth O site, O(15) is bonded in a distorted T-shaped geometry to one Mn(7) and two equivalent Mn(8) atoms. In the sixteenth O site, O(16) is bonded in a distorted T-shaped geometry to one Mn(11) and two equivalent Mn(8) atoms. In the seventeenth O site, O(17) is bonded in a distorted T-shaped geometry to one Mn(10), one Mn(11), and one Mn(12) atom. In the eighteenth O site, O(18) is bonded in a distorted T-shaped geometry to one Mn(11), one Mn(5), and one Mn(8) atom. In the nineteenth O site, O(19) is bonded in a distorted T-shaped geometry to one Mn(5) and two equivalent Mn(8) atoms. In the twentieth O site, O(20) is bonded in a distorted T-shaped geometry to one Mn(10) and two equivalent Mn(12) atoms. In the twenty-first O site, O(21) is bonded in a distorted T-shaped geometry to one Mn(11) and two equivalent Mn(12) atoms. In the twenty-second O site, O(22) is bonded to one Li(1), one Mn(1), and two equivalent Mn(12) atoms to form a mixture of distorted edge and corner-sharing OLiMn3 tetrahedra. In the twenty-third O site, O(23) is bonded in a distorted T-shaped geometry to one Mn(10) and two equivalent Mn(12) atoms. In the twenty-fourth O site, O(24) is bonded to one Li(1), one Mn(1), one Mn(10), and one Mn(12) atom to form a mixture of distorted edge and corner-sharing OLiMn3 tetrahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_LiMn16O32
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.889
_cell_length_b   5.889
_cell_length_c   19.181
_cell_angle_alpha   82.678
_cell_angle_beta   82.678
_cell_angle_gamma   58.851
_symmetry_Int_Tables_number   1
_cell_volume   563.218
_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  0.154  0.154  0.027  1.0
  Mn  Mn1  1  0.496  0.496  0.995  1.0
  Mn  Mn2  1  0.870  0.376  0.876  1.0
  Mn  Mn3  1  0.376  0.870  0.876  1.0
  Mn  Mn4  1  0.620  0.128  0.623  1.0
  Mn  Mn5  1  0.241  0.241  0.745  1.0
  Mn  Mn6  1  0.128  0.620  0.623  1.0
  Mn  Mn7  1  0.877  0.877  0.377  1.0
  Mn  Mn8  1  0.626  0.626  0.623  1.0
  Mn  Mn9  1  0.012  0.012  0.505  1.0
  Mn  Mn10  1  0.376  0.877  0.376  1.0
  Mn  Mn11  1  0.894  0.894  0.781  1.0
  Mn  Mn12  1  0.877  0.376  0.376  1.0
  Mn  Mn13  1  0.624  0.624  0.126  1.0
  Mn  Mn14  1  0.750  0.750  0.251  1.0
  Mn  Mn15  1  0.124  0.625  0.126  1.0
  Mn  Mn16  1  0.625  0.124  0.126  1.0
  O  O17  1  0.701  0.224  0.939  1.0
  O  O18  1  0.571  0.571  0.823  1.0
  O  O19  1  0.224  0.701  0.939  1.0
  O  O20  1  0.667  0.667  0.936  1.0
  O  O21  1  0.457  0.955  0.679  1.0
  O  O22  1  0.072  0.072  0.814  1.0
  O  O23  1  0.522  0.058  0.811  1.0
  O  O24  1  0.324  0.324  0.570  1.0
  O  O25  1  0.179  0.179  0.927  1.0
  O  O26  1  0.955  0.457  0.679  1.0
  O  O27  1  0.058  0.522  0.811  1.0
  O  O28  1  0.423  0.423  0.682  1.0
  O  O29  1  0.176  0.735  0.435  1.0
  O  O30  1  0.830  0.830  0.565  1.0
  O  O31  1  0.932  0.932  0.680  1.0
  O  O32  1  0.292  0.795  0.568  1.0
  O  O33  1  0.735  0.176  0.435  1.0
  O  O34  1  0.056  0.056  0.325  1.0
  O  O35  1  0.795  0.292  0.568  1.0
  O  O36  1  0.172  0.172  0.436  1.0
  O  O37  1  0.584  0.584  0.315  1.0
  O  O38  1  0.925  0.479  0.183  1.0
  O  O39  1  0.021  0.578  0.318  1.0
  O  O40  1  0.696  0.696  0.428  1.0
  O  O41  1  0.804  0.804  0.074  1.0
  O  O42  1  0.479  0.925  0.183  1.0
  O  O43  1  0.917  0.917  0.186  1.0
  O  O44  1  0.578  0.021  0.318  1.0
  O  O45  1  0.329  0.329  0.065  1.0
  O  O46  1  0.444  0.444  0.176  1.0
  O  O47  1  0.775  0.323  0.069  1.0
  O  O48  1  0.323  0.775  0.069  1.0
[/CIF]
.