The structure described by LiCr2MnO6 crystallizes in the monoclinic Cm space group. Li(1) is bonded to one O(3), one O(6), two equivalent O(2), and two equivalent O(4) atoms to form LiO6 octahedra that share  a cornercorner with one Cr(2)O6 octahedra,  a cornercorner with one Mn(1)O6 octahedra, corners with four equivalent Cr(1)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, edges with two equivalent Cr(2)O6 octahedra, and edges with two equivalent Mn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 12-18°. There are two inequivalent Cr sites. In the first Cr site, Cr(1) is bonded to one O(1), one O(5), two equivalent O(2), and two equivalent O(4) atoms to form CrO6 octahedra that share corners with four equivalent Li(1)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, edges with two equivalent Cr(2)O6 octahedra, and edges with two equivalent Mn(1)O6 octahedra. The corner-sharing octahedral tilt angles are 12°. In the second Cr site, Cr(2) is bonded to one O(2), one O(3), two equivalent O(5), and two equivalent O(6) atoms to form CrO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, edges with two equivalent Cr(2)O6 octahedra, and edges with two equivalent Mn(1)O6 octahedra. The corner-sharing octahedral tilt angles are 18°. Mn(1) is bonded to one O(4), one O(6), two equivalent O(1), and two equivalent O(3) atoms to form MnO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, edges with two equivalent Cr(2)O6 octahedra, and edges with two equivalent Mn(1)O6 octahedra. The corner-sharing octahedral tilt angles are 16°. There are six inequivalent O sites. In the first O site, O(1) is bonded in a distorted T-shaped geometry to one Cr(1) and two equivalent Mn(1) atoms. In the second O site, O(2) is bonded to two equivalent Li(1), one Cr(2), and two equivalent Cr(1) atoms to form OLi2Cr3 square pyramids that share corners with four equivalent O(4)Li2MnCr2 square pyramids, edges with two equivalent O(2)Li2Cr3 square pyramids, and edges with two equivalent O(4)Li2MnCr2 square pyramids. In the third O site, O(3) is bonded in a rectangular see-saw-like geometry to one Li(1), one Cr(2), and two equivalent Mn(1) atoms. In the fourth O site, O(4) is bonded to two equivalent Li(1), two equivalent Cr(1), and one Mn(1) atom to form OLi2MnCr2 square pyramids that share corners with four equivalent O(2)Li2Cr3 square pyramids, edges with two equivalent O(2)Li2Cr3 square pyramids, and edges with two equivalent O(4)Li2MnCr2 square pyramids. In the fifth O site, O(5) is bonded in a distorted trigonal non-coplanar geometry to one Cr(1) and two equivalent Cr(2) atoms. In the sixth O site, O(6) is bonded in a rectangular see-saw-like geometry to one Li(1), two equivalent Cr(2), and one Mn(1) atom. is represented by the CIF card [CIF]
data_LiMnCr2O6
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.610
_cell_length_b   6.610
_cell_length_c   5.983
_cell_angle_alpha   76.913
_cell_angle_beta   76.913
_cell_angle_gamma   25.642
_symmetry_Int_Tables_number   1
_cell_volume   110.041
_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  0.334  0.334  0.836  1.0
  Mn  Mn1  1  0.663  0.663  0.655  1.0
  Cr  Cr2  1  0.332  0.332  0.332  1.0
  Cr  Cr3  1  0.008  0.008  0.013  1.0
  O  O4  1  0.172  0.172  0.441  1.0
  O  O5  1  0.850  0.850  0.092  1.0
  O  O6  1  0.163  0.163  0.875  1.0
  O  O7  1  0.817  0.817  0.570  1.0
  O  O8  1  0.493  0.493  0.222  1.0
  O  O9  1  0.509  0.509  0.788  1.0
[/CIF]
.
The structure described by LiCr2MnO6 crystallizes in the monoclinic Cm space group. Li(1) is bonded to one O(3), one O(6), two equivalent O(2), and two equivalent O(4) atoms to form LiO6 octahedra that share  a cornercorner with one Cr(2)O6 octahedra,  a cornercorner with one Mn(1)O6 octahedra, corners with four equivalent Cr(1)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, edges with two equivalent Cr(2)O6 octahedra, and edges with two equivalent Mn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 12-18°. There are two inequivalent Cr sites. In the first Cr site, Cr(1) is bonded to one O(1), one O(5), two equivalent O(2), and two equivalent O(4) atoms to form CrO6 octahedra that share corners with four equivalent Li(1)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, edges with two equivalent Cr(2)O6 octahedra, and edges with two equivalent Mn(1)O6 octahedra. The corner-sharing octahedral tilt angles are 12°. In the second Cr site, Cr(2) is bonded to one O(2), one O(3), two equivalent O(5), and two equivalent O(6) atoms to form CrO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, edges with two equivalent Cr(2)O6 octahedra, and edges with two equivalent Mn(1)O6 octahedra. The corner-sharing octahedral tilt angles are 18°. Mn(1) is bonded to one O(4), one O(6), two equivalent O(1), and two equivalent O(3) atoms to form MnO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, edges with two equivalent Cr(2)O6 octahedra, and edges with two equivalent Mn(1)O6 octahedra. The corner-sharing octahedral tilt angles are 16°. There are six inequivalent O sites. In the first O site, O(1) is bonded in a distorted T-shaped geometry to one Cr(1) and two equivalent Mn(1) atoms. In the second O site, O(2) is bonded to two equivalent Li(1), one Cr(2), and two equivalent Cr(1) atoms to form OLi2Cr3 square pyramids that share corners with four equivalent O(4)Li2MnCr2 square pyramids, edges with two equivalent O(2)Li2Cr3 square pyramids, and edges with two equivalent O(4)Li2MnCr2 square pyramids. In the third O site, O(3) is bonded in a rectangular see-saw-like geometry to one Li(1), one Cr(2), and two equivalent Mn(1) atoms. In the fourth O site, O(4) is bonded to two equivalent Li(1), two equivalent Cr(1), and one Mn(1) atom to form OLi2MnCr2 square pyramids that share corners with four equivalent O(2)Li2Cr3 square pyramids, edges with two equivalent O(2)Li2Cr3 square pyramids, and edges with two equivalent O(4)Li2MnCr2 square pyramids. In the fifth O site, O(5) is bonded in a distorted trigonal non-coplanar geometry to one Cr(1) and two equivalent Cr(2) atoms. In the sixth O site, O(6) is bonded in a rectangular see-saw-like geometry to one Li(1), two equivalent Cr(2), and one Mn(1) atom. is represented by the CIF card [CIF]
data_LiMnCr2O6
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.610
_cell_length_b   6.610
_cell_length_c   5.983
_cell_angle_alpha   76.913
_cell_angle_beta   76.913
_cell_angle_gamma   25.642
_symmetry_Int_Tables_number   1
_cell_volume   110.041
_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  0.334  0.334  0.836  1.0
  Mn  Mn1  1  0.663  0.663  0.655  1.0
  Cr  Cr2  1  0.332  0.332  0.332  1.0
  Cr  Cr3  1  0.008  0.008  0.013  1.0
  O  O4  1  0.172  0.172  0.441  1.0
  O  O5  1  0.850  0.850  0.092  1.0
  O  O6  1  0.163  0.163  0.875  1.0
  O  O7  1  0.817  0.817  0.570  1.0
  O  O8  1  0.493  0.493  0.222  1.0
  O  O9  1  0.509  0.509  0.788  1.0
[/CIF]
.