The compound described by LiMn3O4 is Caswellsilverite-like structured and crystallizes in the triclinic P-1 space group. Li(1) is bonded to one O(3), one O(4), two equivalent O(1), and two equivalent O(2) atoms to form LiO6 octahedra that share corners with three equivalent Mn(3)O6 octahedra, corners with three equivalent Mn(4)O6 octahedra,  an edgeedge with one Mn(3)O6 octahedra,  an edgeedge with one Mn(4)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Mn(2)O6 octahedra, edges with two equivalent Mn(5)O6 octahedra, and edges with four equivalent Mn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 0-8°. There are five inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to one O(1), one O(2), two equivalent O(3), and two equivalent O(4) atoms to form MnO6 octahedra that share corners with three equivalent Mn(2)O6 octahedra, corners with three equivalent Mn(5)O6 octahedra,  an edgeedge with one Mn(2)O6 octahedra,  an edgeedge with one Mn(5)O6 octahedra, edges with two equivalent Mn(1)O6 octahedra, edges with two equivalent Mn(3)O6 octahedra, edges with two equivalent Mn(4)O6 octahedra, and edges with four equivalent Li(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 2-12°. In the second Mn site, Mn(2) is bonded to two equivalent O(1), two equivalent O(3), and two equivalent O(4) atoms to form MnO6 octahedra that share corners with six equivalent Mn(1)O6 octahedra, edges with two equivalent Mn(1)O6 octahedra, edges with two equivalent Mn(3)O6 octahedra, edges with two equivalent Mn(4)O6 octahedra, edges with two equivalent Mn(5)O6 octahedra, and edges with four equivalent Li(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 2-5°. In the third Mn site, Mn(3) is bonded to two equivalent O(1), two equivalent O(2), and two equivalent O(3) atoms to form MnO6 octahedra that share corners with six equivalent Li(1)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Mn(2)O6 octahedra, edges with two equivalent Mn(4)O6 octahedra, edges with two equivalent Mn(5)O6 octahedra, and edges with four equivalent Mn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 2-8°. In the fourth Mn site, Mn(4) is bonded to two equivalent O(1), two equivalent O(2), and two equivalent O(4) atoms to form MnO6 octahedra that share corners with six equivalent Li(1)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Mn(2)O6 octahedra, edges with two equivalent Mn(3)O6 octahedra, edges with two equivalent Mn(5)O6 octahedra, and edges with four equivalent Mn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 0-7°. In the fifth Mn site, Mn(5) is bonded to two equivalent O(2), two equivalent O(3), and two equivalent O(4) atoms to form MnO6 octahedra that share corners with six equivalent Mn(1)O6 octahedra, edges with two equivalent Mn(1)O6 octahedra, edges with two equivalent Mn(2)O6 octahedra, edges with two equivalent Mn(3)O6 octahedra, edges with two equivalent Mn(4)O6 octahedra, and edges with four equivalent Li(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-12°. There are four inequivalent O sites. In the first O site, O(1) is bonded to two equivalent Li(1), one Mn(1), one Mn(2), one Mn(3), and one Mn(4) atom to form OLi2Mn4 octahedra that share corners with three equivalent O(1)Li2Mn4 octahedra, corners with three equivalent O(2)Li2Mn4 octahedra,  an edgeedge with one O(1)Li2Mn4 octahedra, edges with three equivalent O(2)Li2Mn4 octahedra, edges with four equivalent O(3)LiMn5 octahedra, and edges with four equivalent O(4)LiMn5 octahedra. The corner-sharing octahedral tilt angles range from 0-7°. In the second O site, O(2) is bonded to two equivalent Li(1), one Mn(1), one Mn(3), one Mn(4), and one Mn(5) atom to form OLi2Mn4 octahedra that share corners with three equivalent O(1)Li2Mn4 octahedra, corners with three equivalent O(2)Li2Mn4 octahedra,  an edgeedge with one O(2)Li2Mn4 octahedra, edges with three equivalent O(1)Li2Mn4 octahedra, edges with four equivalent O(3)LiMn5 octahedra, and edges with four equivalent O(4)LiMn5 octahedra. The corner-sharing octahedral tilt angles range from 0-7°. In the third O site, O(3) is bonded to one Li(1), one Mn(2), one Mn(3), one Mn(5), and two equivalent Mn(1) atoms to form OLiMn5 octahedra that share corners with three equivalent O(3)LiMn5 octahedra, corners with three equivalent O(4)LiMn5 octahedra,  an edgeedge with one O(3)LiMn5 octahedra, edges with three equivalent O(4)LiMn5 octahedra, edges with four equivalent O(1)Li2Mn4 octahedra, and edges with four equivalent O(2)Li2Mn4 octahedra. The corner-sharing octahedral tilt angles range from 0-6°. In the fourth O site, O(4) is bonded to one Li(1), one Mn(2), one Mn(4), one Mn(5), and two equivalent Mn(1) atoms to form OLiMn5 octahedra that share corners with three equivalent O(3)LiMn5 octahedra, corners with three equivalent O(4)LiMn5 octahedra,  an edgeedge with one O(4)LiMn5 octahedra, edges with three equivalent O(3)LiMn5 octahedra, edges with four equivalent O(1)Li2Mn4 octahedra, and edges with four equivalent O(2)Li2Mn4 octahedra. The corner-sharing octahedral tilt angles range from 0-6°. is represented by the CIF card [CIF]
data_LiMn3O4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.261
_cell_length_b   6.231
_cell_length_c   6.123
_cell_angle_alpha   61.424
_cell_angle_beta   105.451
_cell_angle_gamma   103.748
_symmetry_Int_Tables_number   1
_cell_volume   168.446
_cell_formula_units_Z   2
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  0.986  0.011  0.479  1.0
  Li  Li1  1  0.014  0.489  0.021  1.0
  Mn  Mn2  1  0.993  0.003  0.997  1.0
  Mn  Mn3  1  0.007  0.496  0.503  1.0
  Mn  Mn4  1  0.500  0.250  0.250  1.0
  Mn  Mn5  1  0.500  0.250  0.750  1.0
  Mn  Mn6  1  0.500  0.750  0.250  1.0
  Mn  Mn7  1  0.500  0.750  0.750  1.0
  O  O8  1  0.260  0.360  0.373  1.0
  O  O9  1  0.272  0.865  0.912  1.0
  O  O10  1  0.728  0.635  0.588  1.0
  O  O11  1  0.740  0.139  0.127  1.0
  O  O12  1  0.753  0.134  0.605  1.0
  O  O13  1  0.742  0.640  0.130  1.0
  O  O14  1  0.258  0.860  0.370  1.0
  O  O15  1  0.247  0.366  0.895  1.0
[/CIF]
.
The compound described by LiMn3O4 is Caswellsilverite-like structured and crystallizes in the triclinic P-1 space group. Li(1) is bonded to one O(3), one O(4), two equivalent O(1), and two equivalent O(2) atoms to form LiO6 octahedra that share corners with three equivalent Mn(3)O6 octahedra, corners with three equivalent Mn(4)O6 octahedra,  an edgeedge with one Mn(3)O6 octahedra,  an edgeedge with one Mn(4)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Mn(2)O6 octahedra, edges with two equivalent Mn(5)O6 octahedra, and edges with four equivalent Mn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 0-8°. There are five inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to one O(1), one O(2), two equivalent O(3), and two equivalent O(4) atoms to form MnO6 octahedra that share corners with three equivalent Mn(2)O6 octahedra, corners with three equivalent Mn(5)O6 octahedra,  an edgeedge with one Mn(2)O6 octahedra,  an edgeedge with one Mn(5)O6 octahedra, edges with two equivalent Mn(1)O6 octahedra, edges with two equivalent Mn(3)O6 octahedra, edges with two equivalent Mn(4)O6 octahedra, and edges with four equivalent Li(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 2-12°. In the second Mn site, Mn(2) is bonded to two equivalent O(1), two equivalent O(3), and two equivalent O(4) atoms to form MnO6 octahedra that share corners with six equivalent Mn(1)O6 octahedra, edges with two equivalent Mn(1)O6 octahedra, edges with two equivalent Mn(3)O6 octahedra, edges with two equivalent Mn(4)O6 octahedra, edges with two equivalent Mn(5)O6 octahedra, and edges with four equivalent Li(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 2-5°. In the third Mn site, Mn(3) is bonded to two equivalent O(1), two equivalent O(2), and two equivalent O(3) atoms to form MnO6 octahedra that share corners with six equivalent Li(1)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Mn(2)O6 octahedra, edges with two equivalent Mn(4)O6 octahedra, edges with two equivalent Mn(5)O6 octahedra, and edges with four equivalent Mn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 2-8°. In the fourth Mn site, Mn(4) is bonded to two equivalent O(1), two equivalent O(2), and two equivalent O(4) atoms to form MnO6 octahedra that share corners with six equivalent Li(1)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Mn(2)O6 octahedra, edges with two equivalent Mn(3)O6 octahedra, edges with two equivalent Mn(5)O6 octahedra, and edges with four equivalent Mn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 0-7°. In the fifth Mn site, Mn(5) is bonded to two equivalent O(2), two equivalent O(3), and two equivalent O(4) atoms to form MnO6 octahedra that share corners with six equivalent Mn(1)O6 octahedra, edges with two equivalent Mn(1)O6 octahedra, edges with two equivalent Mn(2)O6 octahedra, edges with two equivalent Mn(3)O6 octahedra, edges with two equivalent Mn(4)O6 octahedra, and edges with four equivalent Li(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-12°. There are four inequivalent O sites. In the first O site, O(1) is bonded to two equivalent Li(1), one Mn(1), one Mn(2), one Mn(3), and one Mn(4) atom to form OLi2Mn4 octahedra that share corners with three equivalent O(1)Li2Mn4 octahedra, corners with three equivalent O(2)Li2Mn4 octahedra,  an edgeedge with one O(1)Li2Mn4 octahedra, edges with three equivalent O(2)Li2Mn4 octahedra, edges with four equivalent O(3)LiMn5 octahedra, and edges with four equivalent O(4)LiMn5 octahedra. The corner-sharing octahedral tilt angles range from 0-7°. In the second O site, O(2) is bonded to two equivalent Li(1), one Mn(1), one Mn(3), one Mn(4), and one Mn(5) atom to form OLi2Mn4 octahedra that share corners with three equivalent O(1)Li2Mn4 octahedra, corners with three equivalent O(2)Li2Mn4 octahedra,  an edgeedge with one O(2)Li2Mn4 octahedra, edges with three equivalent O(1)Li2Mn4 octahedra, edges with four equivalent O(3)LiMn5 octahedra, and edges with four equivalent O(4)LiMn5 octahedra. The corner-sharing octahedral tilt angles range from 0-7°. In the third O site, O(3) is bonded to one Li(1), one Mn(2), one Mn(3), one Mn(5), and two equivalent Mn(1) atoms to form OLiMn5 octahedra that share corners with three equivalent O(3)LiMn5 octahedra, corners with three equivalent O(4)LiMn5 octahedra,  an edgeedge with one O(3)LiMn5 octahedra, edges with three equivalent O(4)LiMn5 octahedra, edges with four equivalent O(1)Li2Mn4 octahedra, and edges with four equivalent O(2)Li2Mn4 octahedra. The corner-sharing octahedral tilt angles range from 0-6°. In the fourth O site, O(4) is bonded to one Li(1), one Mn(2), one Mn(4), one Mn(5), and two equivalent Mn(1) atoms to form OLiMn5 octahedra that share corners with three equivalent O(3)LiMn5 octahedra, corners with three equivalent O(4)LiMn5 octahedra,  an edgeedge with one O(4)LiMn5 octahedra, edges with three equivalent O(3)LiMn5 octahedra, edges with four equivalent O(1)Li2Mn4 octahedra, and edges with four equivalent O(2)Li2Mn4 octahedra. The corner-sharing octahedral tilt angles range from 0-6°. is represented by the CIF card [CIF]
data_LiMn3O4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.261
_cell_length_b   6.231
_cell_length_c   6.123
_cell_angle_alpha   61.424
_cell_angle_beta   105.451
_cell_angle_gamma   103.748
_symmetry_Int_Tables_number   1
_cell_volume   168.446
_cell_formula_units_Z   2
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  0.986  0.011  0.479  1.0
  Li  Li1  1  0.014  0.489  0.021  1.0
  Mn  Mn2  1  0.993  0.003  0.997  1.0
  Mn  Mn3  1  0.007  0.496  0.503  1.0
  Mn  Mn4  1  0.500  0.250  0.250  1.0
  Mn  Mn5  1  0.500  0.250  0.750  1.0
  Mn  Mn6  1  0.500  0.750  0.250  1.0
  Mn  Mn7  1  0.500  0.750  0.750  1.0
  O  O8  1  0.260  0.360  0.373  1.0
  O  O9  1  0.272  0.865  0.912  1.0
  O  O10  1  0.728  0.635  0.588  1.0
  O  O11  1  0.740  0.139  0.127  1.0
  O  O12  1  0.753  0.134  0.605  1.0
  O  O13  1  0.742  0.640  0.130  1.0
  O  O14  1  0.258  0.860  0.370  1.0
  O  O15  1  0.247  0.366  0.895  1.0
[/CIF]
.