The crystal structure described by Li5Cr2Mn5O12 is Caswellsilverite-derived structured and crystallizes in the monoclinic C2 space group. There are three inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(1), one O(2), one O(3), one O(4), one O(5), and one O(6) atom to form LiO6 octahedra that share  a cornercorner with one Li(3)O6 octahedra,  a cornercorner with one Cr(1)O6 octahedra,  a cornercorner with one Cr(2)O6 octahedra,  a cornercorner with one Mn(1)O6 octahedra,  a cornercorner with one Mn(3)O6 octahedra,  a cornercorner with one Mn(4)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra,  an edgeedge with one Mn(1)O6 octahedra,  an edgeedge with one Mn(3)O6 octahedra,  an edgeedge with one Mn(4)O6 octahedra, edges with three equivalent Li(2)O6 octahedra, and edges with three equivalent Mn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 2-8°. In the second Li site, Li(2) is bonded to one O(1), one O(2), one O(3), one O(4), one O(5), and one O(6) atom to form LiO6 octahedra that share  a cornercorner with one Li(3)O6 octahedra,  a cornercorner with one Cr(1)O6 octahedra,  a cornercorner with one Cr(2)O6 octahedra,  a cornercorner with one Mn(1)O6 octahedra,  a cornercorner with one Mn(3)O6 octahedra,  a cornercorner with one Mn(4)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra,  an edgeedge with one Mn(1)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 Mn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-10°. In the third Li site, Li(3) is bonded to two equivalent O(1), two equivalent O(3), and two equivalent O(5) atoms to form LiO6 octahedra that share corners with two equivalent Li(1)O6 octahedra, corners with two equivalent Li(2)O6 octahedra, corners with two equivalent Mn(2)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Mn(2)O6 octahedra, edges with three equivalent Cr(1)O6 octahedra, and edges with three equivalent Mn(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 2-7°. There are two inequivalent Cr sites. In the first Cr site, Cr(1) is bonded to two equivalent O(1), two equivalent O(3), and two equivalent O(5) atoms to form CrO6 octahedra that share corners with two equivalent Li(1)O6 octahedra, corners with two equivalent Li(2)O6 octahedra, corners with two equivalent Mn(2)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Mn(2)O6 octahedra, edges with three equivalent Li(3)O6 octahedra, and edges with three equivalent Mn(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-7°. In the second Cr site, Cr(2) is bonded to two equivalent O(2), two equivalent O(4), and two equivalent O(6) atoms to form CrO6 octahedra that share corners with two equivalent Li(1)O6 octahedra, corners with two equivalent Li(2)O6 octahedra, corners with two equivalent Mn(2)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Mn(2)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 1-5°. There are four inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to two equivalent O(2), two equivalent O(4), and two equivalent O(6) atoms to form MnO6 octahedra that share corners with two equivalent Li(1)O6 octahedra, corners with two equivalent Li(2)O6 octahedra, corners with two equivalent Mn(2)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Mn(2)O6 octahedra, edges with three equivalent Cr(2)O6 octahedra, and edges with three equivalent Mn(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-8°. In the second Mn site, Mn(2) is bonded to one O(1), one O(2), one O(3), one O(4), one O(5), and one O(6) atom to form MnO6 octahedra that share  a cornercorner with one Li(3)O6 octahedra,  a cornercorner with one Cr(1)O6 octahedra,  a cornercorner with one Cr(2)O6 octahedra,  a cornercorner with one Mn(1)O6 octahedra,  a cornercorner with one Mn(3)O6 octahedra,  a cornercorner with one Mn(4)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra,  an edgeedge with one Mn(1)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(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 1-7°. In the third Mn site, Mn(3) is bonded to two equivalent O(2), two equivalent O(4), and two equivalent O(6) atoms to form MnO6 octahedra that share corners with two equivalent Li(1)O6 octahedra, corners with two equivalent Li(2)O6 octahedra, corners with two equivalent Mn(2)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Mn(2)O6 octahedra, edges with three equivalent Cr(2)O6 octahedra, and edges with three equivalent Mn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-10°. In the fourth Mn site, Mn(4) is bonded to two equivalent O(1), two equivalent O(3), and two equivalent O(5) atoms to form MnO6 octahedra that share corners with two equivalent Li(1)O6 octahedra, corners with two equivalent Li(2)O6 octahedra, corners with two equivalent Mn(2)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Mn(2)O6 octahedra, edges with three equivalent Li(3)O6 octahedra, and edges with three equivalent Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-7°. There are six inequivalent O sites. In the first O site, O(5) is bonded to one Li(1), one Li(2), one Li(3), one Cr(1), one Mn(2), and one Mn(4) atom to form OLi3Mn2Cr octahedra that share  a cornercorner with one O(2)Li2Mn3Cr octahedra,  a cornercorner with one O(4)Li2Mn3Cr octahedra,  a cornercorner with one O(6)Li2Mn3Cr octahedra,  a cornercorner with one O(1)Li3Mn2Cr octahedra,  a cornercorner with one O(3)Li3Mn2Cr octahedra,  a cornercorner with one O(5)Li3Mn2Cr octahedra,  an edgeedge with one O(2)Li2Mn3Cr octahedra,  an edgeedge with one O(4)Li2Mn3Cr octahedra,  an edgeedge with one O(6)Li2Mn3Cr octahedra,  an edgeedge with one O(5)Li3Mn2Cr octahedra, edges with four equivalent O(1)Li3Mn2Cr octahedra, and edges with four equivalent O(3)Li3Mn2Cr octahedra. The corner-sharing octahedral tilt angles range from 1-5°. In the second O site, O(6) is bonded to one Li(1), one Li(2), one Cr(2), one Mn(1), one Mn(2), and one Mn(3) atom to form OLi2Mn3Cr octahedra that share  a cornercorner with one O(2)Li2Mn3Cr octahedra,  a cornercorner with one O(4)Li2Mn3Cr octahedra,  a cornercorner with one O(6)Li2Mn3Cr octahedra,  a cornercorner with one O(1)Li3Mn2Cr octahedra,  a cornercorner with one O(3)Li3Mn2Cr octahedra,  a cornercorner with one O(5)Li3Mn2Cr octahedra,  an edgeedge with one O(6)Li2Mn3Cr octahedra,  an edgeedge with one O(1)Li3Mn2Cr octahedra,  an edgeedge with one O(3)Li3Mn2Cr octahedra,  an edgeedge with one O(5)Li3Mn2Cr octahedra, edges with four equivalent O(2)Li2Mn3Cr octahedra, and edges with four equivalent O(4)Li2Mn3Cr octahedra. The corner-sharing octahedral tilt angles range from 2-6°. In the third O site, O(1) is bonded to one Li(1), one Li(2), one Li(3), one Cr(1), one Mn(2), and one Mn(4) atom to form OLi3Mn2Cr octahedra that share  a cornercorner with one O(2)Li2Mn3Cr octahedra,  a cornercorner with one O(4)Li2Mn3Cr octahedra,  a cornercorner with one O(6)Li2Mn3Cr octahedra,  a cornercorner with one O(1)Li3Mn2Cr octahedra,  a cornercorner with one O(3)Li3Mn2Cr octahedra,  a cornercorner with one O(5)Li3Mn2Cr octahedra,  an edgeedge with one O(2)Li2Mn3Cr octahedra,  an edgeedge with one O(4)Li2Mn3Cr octahedra,  an edgeedge with one O(6)Li2Mn3Cr octahedra,  an edgeedge with one O(1)Li3Mn2Cr octahedra, edges with four equivalent O(3)Li3Mn2Cr octahedra, and edges with four equivalent O(5)Li3Mn2Cr octahedra. The corner-sharing octahedral tilt angles range from 3-8°. In the fourth O site, O(2) is bonded to one Li(1), one Li(2), one Cr(2), one Mn(1), one Mn(2), and one Mn(3) atom to form OLi2Mn3Cr octahedra that share  a cornercorner with one O(2)Li2Mn3Cr octahedra,  a cornercorner with one O(4)Li2Mn3Cr octahedra,  a cornercorner with one O(6)Li2Mn3Cr octahedra,  a cornercorner with one O(1)Li3Mn2Cr octahedra,  a cornercorner with one O(3)Li3Mn2Cr octahedra,  a cornercorner with one O(5)Li3Mn2Cr octahedra,  an edgeedge with one O(2)Li2Mn3Cr octahedra,  an edgeedge with one O(1)Li3Mn2Cr octahedra,  an edgeedge with one O(3)Li3Mn2Cr octahedra,  an edgeedge with one O(5)Li3Mn2Cr octahedra, edges with four equivalent O(4)Li2Mn3Cr octahedra, and edges with four equivalent O(6)Li2Mn3Cr octahedra. The corner-sharing octahedral tilt angles range from 1-10°. In the fifth O site, O(3) is bonded to one Li(1), one Li(2), one Li(3), one Cr(1), one Mn(2), and one Mn(4) atom to form OLi3Mn2Cr octahedra that share  a cornercorner with one O(2)Li2Mn3Cr octahedra,  a cornercorner with one O(4)Li2Mn3Cr octahedra,  a cornercorner with one O(6)Li2Mn3Cr octahedra,  a cornercorner with one O(1)Li3Mn2Cr octahedra,  a cornercorner with one O(3)Li3Mn2Cr octahedra,  a cornercorner with one O(5)Li3Mn2Cr octahedra,  an edgeedge with one O(2)Li2Mn3Cr octahedra,  an edgeedge with one O(4)Li2Mn3Cr octahedra,  an edgeedge with one O(6)Li2Mn3Cr octahedra,  an edgeedge with one O(3)Li3Mn2Cr octahedra, edges with four equivalent O(1)Li3Mn2Cr octahedra, and edges with four equivalent O(5)Li3Mn2Cr octahedra. The corner-sharing octahedral tilt angles range from 2-10°. In the sixth O site, O(4) is bonded to one Li(1), one Li(2), one Cr(2), one Mn(1), one Mn(2), and one Mn(3) atom to form OLi2Mn3Cr octahedra that share  a cornercorner with one O(2)Li2Mn3Cr octahedra,  a cornercorner with one O(4)Li2Mn3Cr octahedra,  a cornercorner with one O(6)Li2Mn3Cr octahedra,  a cornercorner with one O(1)Li3Mn2Cr octahedra,  a cornercorner with one O(3)Li3Mn2Cr octahedra,  a cornercorner with one O(5)Li3Mn2Cr octahedra,  an edgeedge with one O(4)Li2Mn3Cr octahedra,  an edgeedge with one O(1)Li3Mn2Cr octahedra,  an edgeedge with one O(3)Li3Mn2Cr octahedra,  an edgeedge with one O(5)Li3Mn2Cr octahedra, edges with four equivalent O(2)Li2Mn3Cr octahedra, and edges with four equivalent O(6)Li2Mn3Cr octahedra. The corner-sharing octahedral tilt angles range from 1-6°. is represented by the CIF file [CIF]
data_Li5Mn5Cr2O12
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.192
_cell_length_b   5.192
_cell_length_c   9.907
_cell_angle_alpha   85.903
_cell_angle_beta   85.903
_cell_angle_gamma   118.933
_symmetry_Int_Tables_number   1
_cell_volume   231.431
_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  0.838  0.666  0.757  1.0
  Li  Li1  1  0.677  0.852  0.239  1.0
  Li  Li2  1  0.334  0.162  0.243  1.0
  Li  Li3  1  0.148  0.323  0.761  1.0
  Li  Li4  1  0.083  0.917  0.000  1.0
  Mn  Mn5  1  0.919  0.081  0.500  1.0
  Mn  Mn6  1  0.004  0.512  0.243  1.0
  Mn  Mn7  1  0.488  0.996  0.757  1.0
  Mn  Mn8  1  0.582  0.418  0.500  1.0
  Mn  Mn9  1  0.420  0.580  0.000  1.0
  Cr  Cr10  1  0.751  0.249  0.000  1.0
  Cr  Cr11  1  0.251  0.749  0.500  1.0
  O  O12  1  0.031  0.224  0.126  1.0
  O  O13  1  0.776  0.969  0.874  1.0
  O  O14  1  0.895  0.398  0.617  1.0
  O  O15  1  0.602  0.105  0.383  1.0
  O  O16  1  0.703  0.530  0.120  1.0
  O  O17  1  0.470  0.297  0.880  1.0
  O  O18  1  0.546  0.728  0.619  1.0
  O  O19  1  0.272  0.454  0.381  1.0
  O  O20  1  0.398  0.877  0.112  1.0
  O  O21  1  0.123  0.602  0.888  1.0
  O  O22  1  0.220  0.030  0.626  1.0
  O  O23  1  0.970  0.780  0.374  1.0
[/CIF]
.
The crystal structure described by Li5Cr2Mn5O12 is Caswellsilverite-derived structured and crystallizes in the monoclinic C2 space group. There are three inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(1), one O(2), one O(3), one O(4), one O(5), and one O(6) atom to form LiO6 octahedra that share  a cornercorner with one Li(3)O6 octahedra,  a cornercorner with one Cr(1)O6 octahedra,  a cornercorner with one Cr(2)O6 octahedra,  a cornercorner with one Mn(1)O6 octahedra,  a cornercorner with one Mn(3)O6 octahedra,  a cornercorner with one Mn(4)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra,  an edgeedge with one Mn(1)O6 octahedra,  an edgeedge with one Mn(3)O6 octahedra,  an edgeedge with one Mn(4)O6 octahedra, edges with three equivalent Li(2)O6 octahedra, and edges with three equivalent Mn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 2-8°. In the second Li site, Li(2) is bonded to one O(1), one O(2), one O(3), one O(4), one O(5), and one O(6) atom to form LiO6 octahedra that share  a cornercorner with one Li(3)O6 octahedra,  a cornercorner with one Cr(1)O6 octahedra,  a cornercorner with one Cr(2)O6 octahedra,  a cornercorner with one Mn(1)O6 octahedra,  a cornercorner with one Mn(3)O6 octahedra,  a cornercorner with one Mn(4)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra,  an edgeedge with one Mn(1)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 Mn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-10°. In the third Li site, Li(3) is bonded to two equivalent O(1), two equivalent O(3), and two equivalent O(5) atoms to form LiO6 octahedra that share corners with two equivalent Li(1)O6 octahedra, corners with two equivalent Li(2)O6 octahedra, corners with two equivalent Mn(2)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Mn(2)O6 octahedra, edges with three equivalent Cr(1)O6 octahedra, and edges with three equivalent Mn(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 2-7°. There are two inequivalent Cr sites. In the first Cr site, Cr(1) is bonded to two equivalent O(1), two equivalent O(3), and two equivalent O(5) atoms to form CrO6 octahedra that share corners with two equivalent Li(1)O6 octahedra, corners with two equivalent Li(2)O6 octahedra, corners with two equivalent Mn(2)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Mn(2)O6 octahedra, edges with three equivalent Li(3)O6 octahedra, and edges with three equivalent Mn(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-7°. In the second Cr site, Cr(2) is bonded to two equivalent O(2), two equivalent O(4), and two equivalent O(6) atoms to form CrO6 octahedra that share corners with two equivalent Li(1)O6 octahedra, corners with two equivalent Li(2)O6 octahedra, corners with two equivalent Mn(2)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Mn(2)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 1-5°. There are four inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to two equivalent O(2), two equivalent O(4), and two equivalent O(6) atoms to form MnO6 octahedra that share corners with two equivalent Li(1)O6 octahedra, corners with two equivalent Li(2)O6 octahedra, corners with two equivalent Mn(2)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Mn(2)O6 octahedra, edges with three equivalent Cr(2)O6 octahedra, and edges with three equivalent Mn(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-8°. In the second Mn site, Mn(2) is bonded to one O(1), one O(2), one O(3), one O(4), one O(5), and one O(6) atom to form MnO6 octahedra that share  a cornercorner with one Li(3)O6 octahedra,  a cornercorner with one Cr(1)O6 octahedra,  a cornercorner with one Cr(2)O6 octahedra,  a cornercorner with one Mn(1)O6 octahedra,  a cornercorner with one Mn(3)O6 octahedra,  a cornercorner with one Mn(4)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra,  an edgeedge with one Mn(1)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(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 1-7°. In the third Mn site, Mn(3) is bonded to two equivalent O(2), two equivalent O(4), and two equivalent O(6) atoms to form MnO6 octahedra that share corners with two equivalent Li(1)O6 octahedra, corners with two equivalent Li(2)O6 octahedra, corners with two equivalent Mn(2)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Mn(2)O6 octahedra, edges with three equivalent Cr(2)O6 octahedra, and edges with three equivalent Mn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-10°. In the fourth Mn site, Mn(4) is bonded to two equivalent O(1), two equivalent O(3), and two equivalent O(5) atoms to form MnO6 octahedra that share corners with two equivalent Li(1)O6 octahedra, corners with two equivalent Li(2)O6 octahedra, corners with two equivalent Mn(2)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Mn(2)O6 octahedra, edges with three equivalent Li(3)O6 octahedra, and edges with three equivalent Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-7°. There are six inequivalent O sites. In the first O site, O(5) is bonded to one Li(1), one Li(2), one Li(3), one Cr(1), one Mn(2), and one Mn(4) atom to form OLi3Mn2Cr octahedra that share  a cornercorner with one O(2)Li2Mn3Cr octahedra,  a cornercorner with one O(4)Li2Mn3Cr octahedra,  a cornercorner with one O(6)Li2Mn3Cr octahedra,  a cornercorner with one O(1)Li3Mn2Cr octahedra,  a cornercorner with one O(3)Li3Mn2Cr octahedra,  a cornercorner with one O(5)Li3Mn2Cr octahedra,  an edgeedge with one O(2)Li2Mn3Cr octahedra,  an edgeedge with one O(4)Li2Mn3Cr octahedra,  an edgeedge with one O(6)Li2Mn3Cr octahedra,  an edgeedge with one O(5)Li3Mn2Cr octahedra, edges with four equivalent O(1)Li3Mn2Cr octahedra, and edges with four equivalent O(3)Li3Mn2Cr octahedra. The corner-sharing octahedral tilt angles range from 1-5°. In the second O site, O(6) is bonded to one Li(1), one Li(2), one Cr(2), one Mn(1), one Mn(2), and one Mn(3) atom to form OLi2Mn3Cr octahedra that share  a cornercorner with one O(2)Li2Mn3Cr octahedra,  a cornercorner with one O(4)Li2Mn3Cr octahedra,  a cornercorner with one O(6)Li2Mn3Cr octahedra,  a cornercorner with one O(1)Li3Mn2Cr octahedra,  a cornercorner with one O(3)Li3Mn2Cr octahedra,  a cornercorner with one O(5)Li3Mn2Cr octahedra,  an edgeedge with one O(6)Li2Mn3Cr octahedra,  an edgeedge with one O(1)Li3Mn2Cr octahedra,  an edgeedge with one O(3)Li3Mn2Cr octahedra,  an edgeedge with one O(5)Li3Mn2Cr octahedra, edges with four equivalent O(2)Li2Mn3Cr octahedra, and edges with four equivalent O(4)Li2Mn3Cr octahedra. The corner-sharing octahedral tilt angles range from 2-6°. In the third O site, O(1) is bonded to one Li(1), one Li(2), one Li(3), one Cr(1), one Mn(2), and one Mn(4) atom to form OLi3Mn2Cr octahedra that share  a cornercorner with one O(2)Li2Mn3Cr octahedra,  a cornercorner with one O(4)Li2Mn3Cr octahedra,  a cornercorner with one O(6)Li2Mn3Cr octahedra,  a cornercorner with one O(1)Li3Mn2Cr octahedra,  a cornercorner with one O(3)Li3Mn2Cr octahedra,  a cornercorner with one O(5)Li3Mn2Cr octahedra,  an edgeedge with one O(2)Li2Mn3Cr octahedra,  an edgeedge with one O(4)Li2Mn3Cr octahedra,  an edgeedge with one O(6)Li2Mn3Cr octahedra,  an edgeedge with one O(1)Li3Mn2Cr octahedra, edges with four equivalent O(3)Li3Mn2Cr octahedra, and edges with four equivalent O(5)Li3Mn2Cr octahedra. The corner-sharing octahedral tilt angles range from 3-8°. In the fourth O site, O(2) is bonded to one Li(1), one Li(2), one Cr(2), one Mn(1), one Mn(2), and one Mn(3) atom to form OLi2Mn3Cr octahedra that share  a cornercorner with one O(2)Li2Mn3Cr octahedra,  a cornercorner with one O(4)Li2Mn3Cr octahedra,  a cornercorner with one O(6)Li2Mn3Cr octahedra,  a cornercorner with one O(1)Li3Mn2Cr octahedra,  a cornercorner with one O(3)Li3Mn2Cr octahedra,  a cornercorner with one O(5)Li3Mn2Cr octahedra,  an edgeedge with one O(2)Li2Mn3Cr octahedra,  an edgeedge with one O(1)Li3Mn2Cr octahedra,  an edgeedge with one O(3)Li3Mn2Cr octahedra,  an edgeedge with one O(5)Li3Mn2Cr octahedra, edges with four equivalent O(4)Li2Mn3Cr octahedra, and edges with four equivalent O(6)Li2Mn3Cr octahedra. The corner-sharing octahedral tilt angles range from 1-10°. In the fifth O site, O(3) is bonded to one Li(1), one Li(2), one Li(3), one Cr(1), one Mn(2), and one Mn(4) atom to form OLi3Mn2Cr octahedra that share  a cornercorner with one O(2)Li2Mn3Cr octahedra,  a cornercorner with one O(4)Li2Mn3Cr octahedra,  a cornercorner with one O(6)Li2Mn3Cr octahedra,  a cornercorner with one O(1)Li3Mn2Cr octahedra,  a cornercorner with one O(3)Li3Mn2Cr octahedra,  a cornercorner with one O(5)Li3Mn2Cr octahedra,  an edgeedge with one O(2)Li2Mn3Cr octahedra,  an edgeedge with one O(4)Li2Mn3Cr octahedra,  an edgeedge with one O(6)Li2Mn3Cr octahedra,  an edgeedge with one O(3)Li3Mn2Cr octahedra, edges with four equivalent O(1)Li3Mn2Cr octahedra, and edges with four equivalent O(5)Li3Mn2Cr octahedra. The corner-sharing octahedral tilt angles range from 2-10°. In the sixth O site, O(4) is bonded to one Li(1), one Li(2), one Cr(2), one Mn(1), one Mn(2), and one Mn(3) atom to form OLi2Mn3Cr octahedra that share  a cornercorner with one O(2)Li2Mn3Cr octahedra,  a cornercorner with one O(4)Li2Mn3Cr octahedra,  a cornercorner with one O(6)Li2Mn3Cr octahedra,  a cornercorner with one O(1)Li3Mn2Cr octahedra,  a cornercorner with one O(3)Li3Mn2Cr octahedra,  a cornercorner with one O(5)Li3Mn2Cr octahedra,  an edgeedge with one O(4)Li2Mn3Cr octahedra,  an edgeedge with one O(1)Li3Mn2Cr octahedra,  an edgeedge with one O(3)Li3Mn2Cr octahedra,  an edgeedge with one O(5)Li3Mn2Cr octahedra, edges with four equivalent O(2)Li2Mn3Cr octahedra, and edges with four equivalent O(6)Li2Mn3Cr octahedra. The corner-sharing octahedral tilt angles range from 1-6°. is represented by the CIF file [CIF]
data_Li5Mn5Cr2O12
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.192
_cell_length_b   5.192
_cell_length_c   9.907
_cell_angle_alpha   85.903
_cell_angle_beta   85.903
_cell_angle_gamma   118.933
_symmetry_Int_Tables_number   1
_cell_volume   231.431
_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  0.838  0.666  0.757  1.0
  Li  Li1  1  0.677  0.852  0.239  1.0
  Li  Li2  1  0.334  0.162  0.243  1.0
  Li  Li3  1  0.148  0.323  0.761  1.0
  Li  Li4  1  0.083  0.917  0.000  1.0
  Mn  Mn5  1  0.919  0.081  0.500  1.0
  Mn  Mn6  1  0.004  0.512  0.243  1.0
  Mn  Mn7  1  0.488  0.996  0.757  1.0
  Mn  Mn8  1  0.582  0.418  0.500  1.0
  Mn  Mn9  1  0.420  0.580  0.000  1.0
  Cr  Cr10  1  0.751  0.249  0.000  1.0
  Cr  Cr11  1  0.251  0.749  0.500  1.0
  O  O12  1  0.031  0.224  0.126  1.0
  O  O13  1  0.776  0.969  0.874  1.0
  O  O14  1  0.895  0.398  0.617  1.0
  O  O15  1  0.602  0.105  0.383  1.0
  O  O16  1  0.703  0.530  0.120  1.0
  O  O17  1  0.470  0.297  0.880  1.0
  O  O18  1  0.546  0.728  0.619  1.0
  O  O19  1  0.272  0.454  0.381  1.0
  O  O20  1  0.398  0.877  0.112  1.0
  O  O21  1  0.123  0.602  0.888  1.0
  O  O22  1  0.220  0.030  0.626  1.0
  O  O23  1  0.970  0.780  0.374  1.0
[/CIF]
.