The crystal structure described by Li5Cr2Mn3O10 is Caswellsilverite-derived structured and crystallizes in the triclinic P1 space group. There are five inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(10), one O(2), one O(4), one O(5), one O(6), and one O(9) 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(3)O6 octahedra, corners with two equivalent Mn(2)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra,  an edgeedge with one Mn(1)O6 octahedra,  an edgeedge with one Mn(3)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with two equivalent Li(4)O6 octahedra, edges with two equivalent Li(5)O6 octahedra, and edges with two equivalent Cr(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 2-10°. In the second Li site, Li(2) is bonded to one O(1), one O(2), one O(3), one O(5), one O(7), and one O(8) 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 Mn(2)O6 octahedra,  a cornercorner with one Mn(3)O6 octahedra, corners with two equivalent Cr(2)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Mn(3)O6 octahedra, edges with two equivalent Li(4)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, edges with two equivalent Mn(1)O6 octahedra, and edges with two equivalent Mn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 6-15°. In the third Li site, Li(3) is bonded to one O(2), one O(4), one O(5), one O(6), one O(7), and one O(9) atom to form LiO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner with one Li(2)O6 octahedra,  a cornercorner with one Li(4)O6 octahedra,  a cornercorner with one Li(5)O6 octahedra, corners with two equivalent Mn(1)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Mn(2)O6 octahedra,  an edgeedge with one Mn(3)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(4)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, and edges with two equivalent Cr(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 8-11°. In the fourth Li site, Li(4) is bonded to one O(1), one O(2), one O(5), one O(6), one O(7), and one O(9) 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(2)O6 octahedra, corners with two equivalent Mn(3)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra,  an edgeedge with one Mn(1)O6 octahedra,  an edgeedge with one Mn(2)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, and edges with two equivalent Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-11°. In the fifth Li site, Li(5) is bonded to one O(10), one O(3), one O(4), one O(6), one O(8), and one O(9) atom to form LiO6 octahedra that share  a cornercorner with one Li(3)O6 octahedra,  a cornercorner with one Cr(2)O6 octahedra,  a cornercorner with one Mn(2)O6 octahedra,  a cornercorner with one Mn(3)O6 octahedra, corners with two equivalent Cr(1)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Mn(2)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Cr(2)O6 octahedra, edges with two equivalent Mn(1)O6 octahedra, and edges with two equivalent Mn(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-14°. There are two inequivalent Cr sites. In the first Cr site, Cr(1) is bonded to one O(1), one O(2), one O(3), one O(5), one O(7), and one O(9) atom to form CrO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner with one Li(2)O6 octahedra,  a cornercorner with one Li(4)O6 octahedra,  a cornercorner with one Mn(1)O6 octahedra, corners with two equivalent Li(5)O6 octahedra,  an edgeedge with one Li(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, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with two equivalent Li(4)O6 octahedra, and edges with two equivalent Mn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-15°. In the second Cr site, Cr(2) is bonded to one O(10), one O(2), one O(4), one O(6), one O(8), and one O(9) atom to form CrO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner with one Li(4)O6 octahedra,  a cornercorner with one Li(5)O6 octahedra,  a cornercorner with one Mn(1)O6 octahedra, corners with two equivalent Li(2)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra,  an edgeedge with one Mn(1)O6 octahedra,  an edgeedge with one Mn(2)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with two equivalent Li(5)O6 octahedra, and edges with two equivalent Mn(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-14°. There are three inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to one O(1), one O(10), one O(3), one O(4), one O(7), and one O(8) atom to form MnO6 octahedra that share  a cornercorner with one Cr(1)O6 octahedra,  a cornercorner with one Cr(2)O6 octahedra,  a cornercorner with one Mn(2)O6 octahedra,  a cornercorner with one Mn(3)O6 octahedra, corners with two equivalent Li(3)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Li(5)O6 octahedra, 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 7-9°. In the second Mn site, Mn(2) is bonded to one O(1), one O(10), one O(3), one O(5), one O(7), and one O(8) atom to form MnO6 octahedra that share  a cornercorner with one Li(2)O6 octahedra,  a cornercorner with one Li(4)O6 octahedra,  a cornercorner with one Li(5)O6 octahedra,  a cornercorner with one Mn(1)O6 octahedra, corners with two equivalent Li(1)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, edges with two equivalent Mn(1)O6 octahedra, and edges with two equivalent Mn(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 2-10°. In the third Mn site, Mn(3) is bonded to one O(1), one O(10), one O(3), one O(4), one O(6), and one O(8) atom to form MnO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner with one Li(2)O6 octahedra,  a cornercorner with one Li(5)O6 octahedra,  a cornercorner with one Mn(1)O6 octahedra, corners with two equivalent Li(4)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra, edges with two equivalent Li(5)O6 octahedra, edges with two equivalent Cr(2)O6 octahedra, edges with two equivalent Mn(1)O6 octahedra, and edges with two equivalent Mn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-9°. There are ten inequivalent O sites. In the first O site, O(1) is bonded to one Li(2), one Li(4), one Cr(1), one Mn(1), one Mn(2), and one Mn(3) atom to form OLi2Mn3Cr octahedra that share  a cornercorner with one O(10)Li2Mn3Cr octahedra,  a cornercorner with one O(3)Li2Mn3Cr octahedra,  a cornercorner with one O(7)Li3Mn2Cr octahedra,  a cornercorner with one O(2)Li4Cr2 octahedra, corners with two equivalent O(6)Li4MnCr octahedra,  an edgeedge with one O(10)Li2Mn3Cr octahedra,  an edgeedge with one O(4)Li3Mn2Cr octahedra,  an edgeedge with one O(2)Li4Cr2 octahedra,  an edgeedge with one O(9)Li4Cr2 octahedra, edges with two equivalent O(3)Li2Mn3Cr octahedra, edges with two equivalent O(8)Li2Mn3Cr octahedra, edges with two equivalent O(7)Li3Mn2Cr octahedra, and edges with two equivalent O(5)Li4MnCr octahedra. The corner-sharing octahedral tilt angles range from 0-15°. In the second O site, O(2) is bonded to one Li(1), one Li(2), one Li(3), one Li(4), one Cr(1), and one Cr(2) atom to form OLi4Cr2 octahedra that share  a cornercorner with one O(1)Li2Mn3Cr octahedra,  a cornercorner with one O(4)Li3Mn2Cr octahedra,  a cornercorner with one O(9)Li4Cr2 octahedra,  a cornercorner with one O(5)Li4MnCr octahedra, corners with two equivalent O(8)Li2Mn3Cr octahedra,  an edgeedge with one O(1)Li2Mn3Cr octahedra,  an edgeedge with one O(10)Li2Mn3Cr octahedra,  an edgeedge with one O(3)Li2Mn3Cr octahedra,  an edgeedge with one O(4)Li3Mn2Cr octahedra, edges with two equivalent O(7)Li3Mn2Cr octahedra, edges with two equivalent O(9)Li4Cr2 octahedra, edges with two equivalent O(5)Li4MnCr octahedra, and edges with two equivalent O(6)Li4MnCr octahedra. The corner-sharing octahedral tilt angles range from 0-12°. In the third O site, O(3) is bonded to one Li(2), one Li(5), one Cr(1), one Mn(1), one Mn(2), and one Mn(3) atom to form OLi2Mn3Cr octahedra that share  a cornercorner with one O(1)Li2Mn3Cr octahedra,  a cornercorner with one O(8)Li2Mn3Cr octahedra,  a cornercorner with one O(4)Li3Mn2Cr octahedra,  a cornercorner with one O(5)Li4MnCr octahedra, corners with two equivalent O(9)Li4Cr2 octahedra,  an edgeedge with one O(4)Li3Mn2Cr octahedra,  an edgeedge with one O(2)Li4Cr2 octahedra,  an edgeedge with one O(5)Li4MnCr octahedra,  an edgeedge with one O(6)Li4MnCr octahedra, edges with two equivalent O(1)Li2Mn3Cr octahedra, edges with two equivalent O(10)Li2Mn3Cr octahedra, edges with two equivalent O(8)Li2Mn3Cr octahedra, and edges with two equivalent O(7)Li3Mn2Cr octahedra. The corner-sharing octahedral tilt angles range from 0-11°. In the fourth O site, O(4) is bonded to one Li(1), one Li(3), one Li(5), one Cr(2), one Mn(1), and one Mn(3) atom to form OLi3Mn2Cr octahedra that share  a cornercorner with one O(10)Li2Mn3Cr octahedra,  a cornercorner with one O(3)Li2Mn3Cr octahedra,  a cornercorner with one O(2)Li4Cr2 octahedra,  a cornercorner with one O(6)Li4MnCr octahedra, corners with two equivalent O(7)Li3Mn2Cr octahedra,  an edgeedge with one O(1)Li2Mn3Cr octahedra,  an edgeedge with one O(3)Li2Mn3Cr octahedra,  an edgeedge with one O(2)Li4Cr2 octahedra,  an edgeedge with one O(5)Li4MnCr octahedra, edges with two equivalent O(10)Li2Mn3Cr octahedra, edges with two equivalent O(8)Li2Mn3Cr octahedra, edges with two equivalent O(9)Li4Cr2 octahedra, and edges with two equivalent O(6)Li4MnCr octahedra. The corner-sharing octahedral tilt angles range from 0-13°. In the fifth O site, O(5) is bonded to one Li(1), one Li(2), one Li(3), one Li(4), one Cr(1), and one Mn(2) atom to form OLi4MnCr octahedra that share  a cornercorner with one O(3)Li2Mn3Cr octahedra,  a cornercorner with one O(7)Li3Mn2Cr octahedra,  a cornercorner with one O(2)Li4Cr2 octahedra,  a cornercorner with one O(6)Li4MnCr octahedra, corners with two equivalent O(10)Li2Mn3Cr octahedra,  an edgeedge with one O(3)Li2Mn3Cr octahedra,  an edgeedge with one O(8)Li2Mn3Cr octahedra,  an edgeedge with one O(4)Li3Mn2Cr octahedra,  an edgeedge with one O(6)Li4MnCr octahedra, edges with two equivalent O(1)Li2Mn3Cr octahedra, edges with two equivalent O(7)Li3Mn2Cr octahedra, edges with two equivalent O(2)Li4Cr2 octahedra, and edges with two equivalent O(9)Li4Cr2 octahedra. The corner-sharing octahedral tilt angles range from 0-12°. In the sixth O site, O(6) is bonded to one Li(1), one Li(3), one Li(4), one Li(5), one Cr(2), and one Mn(3) atom to form OLi4MnCr octahedra that share  a cornercorner with one O(8)Li2Mn3Cr octahedra,  a cornercorner with one O(4)Li3Mn2Cr octahedra,  a cornercorner with one O(9)Li4Cr2 octahedra,  a cornercorner with one O(5)Li4MnCr octahedra, corners with two equivalent O(1)Li2Mn3Cr octahedra,  an edgeedge with one O(3)Li2Mn3Cr octahedra,  an edgeedge with one O(8)Li2Mn3Cr octahedra,  an edgeedge with one O(7)Li3Mn2Cr octahedra,  an edgeedge with one O(5)Li4MnCr octahedra, edges with two equivalent O(10)Li2Mn3Cr octahedra, edges with two equivalent O(4)Li3Mn2Cr octahedra, edges with two equivalent O(2)Li4Cr2 octahedra, and edges with two equivalent O(9)Li4Cr2 octahedra. The corner-sharing octahedral tilt angles range from 0-11°. In the seventh O site, O(7) is bonded to one Li(2), one Li(3), one Li(4), one Cr(1), one Mn(1), and one Mn(2) atom to form OLi3Mn2Cr octahedra that share  a cornercorner with one O(1)Li2Mn3Cr octahedra,  a cornercorner with one O(8)Li2Mn3Cr octahedra,  a cornercorner with one O(9)Li4Cr2 octahedra,  a cornercorner with one O(5)Li4MnCr octahedra, corners with two equivalent O(4)Li3Mn2Cr octahedra,  an edgeedge with one O(10)Li2Mn3Cr octahedra,  an edgeedge with one O(8)Li2Mn3Cr octahedra,  an edgeedge with one O(9)Li4Cr2 octahedra,  an edgeedge with one O(6)Li4MnCr octahedra, edges with two equivalent O(1)Li2Mn3Cr octahedra, edges with two equivalent O(3)Li2Mn3Cr octahedra, edges with two equivalent O(2)Li4Cr2 octahedra, and edges with two equivalent O(5)Li4MnCr octahedra. The corner-sharing octahedral tilt angles range from 0-15°. In the eighth O site, O(8) is bonded to one Li(2), one Li(5), 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(10)Li2Mn3Cr octahedra,  a cornercorner with one O(3)Li2Mn3Cr octahedra,  a cornercorner with one O(7)Li3Mn2Cr octahedra,  a cornercorner with one O(6)Li4MnCr octahedra, corners with two equivalent O(2)Li4Cr2 octahedra,  an edgeedge with one O(7)Li3Mn2Cr octahedra,  an edgeedge with one O(9)Li4Cr2 octahedra,  an edgeedge with one O(5)Li4MnCr octahedra,  an edgeedge with one O(6)Li4MnCr octahedra, edges with two equivalent O(1)Li2Mn3Cr octahedra, edges with two equivalent O(10)Li2Mn3Cr octahedra, edges with two equivalent O(3)Li2Mn3Cr octahedra, and edges with two equivalent O(4)Li3Mn2Cr octahedra. The corner-sharing octahedral tilt angles range from 0-10°. In the ninth O site, O(9) is bonded to one Li(1), one Li(3), one Li(4), one Li(5), one Cr(1), and one Cr(2) atom to form OLi4Cr2 octahedra that share  a cornercorner with one O(10)Li2Mn3Cr octahedra,  a cornercorner with one O(7)Li3Mn2Cr octahedra,  a cornercorner with one O(2)Li4Cr2 octahedra,  a cornercorner with one O(6)Li4MnCr octahedra, corners with two equivalent O(3)Li2Mn3Cr octahedra,  an edgeedge with one O(1)Li2Mn3Cr octahedra,  an edgeedge with one O(10)Li2Mn3Cr octahedra,  an edgeedge with one O(8)Li2Mn3Cr octahedra,  an edgeedge with one O(7)Li3Mn2Cr octahedra, edges with two equivalent O(4)Li3Mn2Cr octahedra, edges with two equivalent O(2)Li4Cr2 octahedra, edges with two equivalent O(5)Li4MnCr octahedra, and edges with two equivalent O(6)Li4MnCr octahedra. The corner-sharing octahedral tilt angles range from 0-11°. In the tenth O site, O(10) is bonded to one Li(1), one Li(5), 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(1)Li2Mn3Cr octahedra,  a cornercorner with one O(8)Li2Mn3Cr octahedra,  a cornercorner with one O(4)Li3Mn2Cr octahedra,  a cornercorner with one O(9)Li4Cr2 octahedra, corners with two equivalent O(5)Li4MnCr octahedra,  an edgeedge with one O(1)Li2Mn3Cr octahedra,  an edgeedge with one O(7)Li3Mn2Cr octahedra,  an edgeedge with one O(2)Li4Cr2 octahedra,  an edgeedge with one O(9)Li4Cr2 octahedra, edges with two equivalent O(3)Li2Mn3Cr octahedra, edges with two equivalent O(8)Li2Mn3Cr octahedra, edges with two equivalent O(4)Li3Mn2Cr octahedra, and edges with two equivalent O(6)Li4MnCr octahedra. The corner-sharing octahedral tilt angles range from 0-13°. is represented by the Crystallographic Information File (CIF) [CIF]
data_Li5Mn3Cr2O10
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.201
_cell_length_b   5.211
_cell_length_c   7.780
_cell_angle_alpha   103.642
_cell_angle_beta   108.136
_cell_angle_gamma   99.651
_symmetry_Int_Tables_number   1
_cell_volume   187.997
_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  0.076  0.804  0.583  1.0
  Li  Li1  1  0.725  0.610  0.224  1.0
  Li  Li2  1  0.502  0.498  0.500  1.0
  Li  Li3  1  0.930  0.213  0.422  1.0
  Li  Li4  1  0.281  0.392  0.778  1.0
  Mn  Mn5  1  0.502  0.998  0.000  1.0
  Mn  Mn6  1  0.106  0.302  0.105  1.0
  Mn  Mn7  1  0.896  0.693  0.895  1.0
  Cr  Cr8  1  0.304  0.897  0.307  1.0
  Cr  Cr9  1  0.698  0.100  0.694  1.0
  O  O10  1  0.913  0.924  0.144  1.0
  O  O11  1  0.685  0.867  0.450  1.0
  O  O12  1  0.287  0.674  0.041  1.0
  O  O13  1  0.533  0.768  0.770  1.0
  O  O14  1  0.116  0.547  0.336  1.0
  O  O15  1  0.887  0.450  0.664  1.0
  O  O16  1  0.469  0.228  0.230  1.0
  O  O17  1  0.716  0.322  0.960  1.0
  O  O18  1  0.318  0.133  0.550  1.0
  O  O19  1  0.089  0.071  0.855  1.0
[/CIF]
.
The crystal structure described by Li5Cr2Mn3O10 is Caswellsilverite-derived structured and crystallizes in the triclinic P1 space group. There are five inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(10), one O(2), one O(4), one O(5), one O(6), and one O(9) 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(3)O6 octahedra, corners with two equivalent Mn(2)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra,  an edgeedge with one Mn(1)O6 octahedra,  an edgeedge with one Mn(3)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with two equivalent Li(4)O6 octahedra, edges with two equivalent Li(5)O6 octahedra, and edges with two equivalent Cr(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 2-10°. In the second Li site, Li(2) is bonded to one O(1), one O(2), one O(3), one O(5), one O(7), and one O(8) 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 Mn(2)O6 octahedra,  a cornercorner with one Mn(3)O6 octahedra, corners with two equivalent Cr(2)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Mn(3)O6 octahedra, edges with two equivalent Li(4)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, edges with two equivalent Mn(1)O6 octahedra, and edges with two equivalent Mn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 6-15°. In the third Li site, Li(3) is bonded to one O(2), one O(4), one O(5), one O(6), one O(7), and one O(9) atom to form LiO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner with one Li(2)O6 octahedra,  a cornercorner with one Li(4)O6 octahedra,  a cornercorner with one Li(5)O6 octahedra, corners with two equivalent Mn(1)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Mn(2)O6 octahedra,  an edgeedge with one Mn(3)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(4)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, and edges with two equivalent Cr(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 8-11°. In the fourth Li site, Li(4) is bonded to one O(1), one O(2), one O(5), one O(6), one O(7), and one O(9) 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(2)O6 octahedra, corners with two equivalent Mn(3)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra,  an edgeedge with one Mn(1)O6 octahedra,  an edgeedge with one Mn(2)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, and edges with two equivalent Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-11°. In the fifth Li site, Li(5) is bonded to one O(10), one O(3), one O(4), one O(6), one O(8), and one O(9) atom to form LiO6 octahedra that share  a cornercorner with one Li(3)O6 octahedra,  a cornercorner with one Cr(2)O6 octahedra,  a cornercorner with one Mn(2)O6 octahedra,  a cornercorner with one Mn(3)O6 octahedra, corners with two equivalent Cr(1)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Mn(2)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Cr(2)O6 octahedra, edges with two equivalent Mn(1)O6 octahedra, and edges with two equivalent Mn(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-14°. There are two inequivalent Cr sites. In the first Cr site, Cr(1) is bonded to one O(1), one O(2), one O(3), one O(5), one O(7), and one O(9) atom to form CrO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner with one Li(2)O6 octahedra,  a cornercorner with one Li(4)O6 octahedra,  a cornercorner with one Mn(1)O6 octahedra, corners with two equivalent Li(5)O6 octahedra,  an edgeedge with one Li(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, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with two equivalent Li(4)O6 octahedra, and edges with two equivalent Mn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-15°. In the second Cr site, Cr(2) is bonded to one O(10), one O(2), one O(4), one O(6), one O(8), and one O(9) atom to form CrO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner with one Li(4)O6 octahedra,  a cornercorner with one Li(5)O6 octahedra,  a cornercorner with one Mn(1)O6 octahedra, corners with two equivalent Li(2)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra,  an edgeedge with one Mn(1)O6 octahedra,  an edgeedge with one Mn(2)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with two equivalent Li(5)O6 octahedra, and edges with two equivalent Mn(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-14°. There are three inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to one O(1), one O(10), one O(3), one O(4), one O(7), and one O(8) atom to form MnO6 octahedra that share  a cornercorner with one Cr(1)O6 octahedra,  a cornercorner with one Cr(2)O6 octahedra,  a cornercorner with one Mn(2)O6 octahedra,  a cornercorner with one Mn(3)O6 octahedra, corners with two equivalent Li(3)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Li(5)O6 octahedra, 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 7-9°. In the second Mn site, Mn(2) is bonded to one O(1), one O(10), one O(3), one O(5), one O(7), and one O(8) atom to form MnO6 octahedra that share  a cornercorner with one Li(2)O6 octahedra,  a cornercorner with one Li(4)O6 octahedra,  a cornercorner with one Li(5)O6 octahedra,  a cornercorner with one Mn(1)O6 octahedra, corners with two equivalent Li(1)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, edges with two equivalent Mn(1)O6 octahedra, and edges with two equivalent Mn(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 2-10°. In the third Mn site, Mn(3) is bonded to one O(1), one O(10), one O(3), one O(4), one O(6), and one O(8) atom to form MnO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner with one Li(2)O6 octahedra,  a cornercorner with one Li(5)O6 octahedra,  a cornercorner with one Mn(1)O6 octahedra, corners with two equivalent Li(4)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra, edges with two equivalent Li(5)O6 octahedra, edges with two equivalent Cr(2)O6 octahedra, edges with two equivalent Mn(1)O6 octahedra, and edges with two equivalent Mn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-9°. There are ten inequivalent O sites. In the first O site, O(1) is bonded to one Li(2), one Li(4), one Cr(1), one Mn(1), one Mn(2), and one Mn(3) atom to form OLi2Mn3Cr octahedra that share  a cornercorner with one O(10)Li2Mn3Cr octahedra,  a cornercorner with one O(3)Li2Mn3Cr octahedra,  a cornercorner with one O(7)Li3Mn2Cr octahedra,  a cornercorner with one O(2)Li4Cr2 octahedra, corners with two equivalent O(6)Li4MnCr octahedra,  an edgeedge with one O(10)Li2Mn3Cr octahedra,  an edgeedge with one O(4)Li3Mn2Cr octahedra,  an edgeedge with one O(2)Li4Cr2 octahedra,  an edgeedge with one O(9)Li4Cr2 octahedra, edges with two equivalent O(3)Li2Mn3Cr octahedra, edges with two equivalent O(8)Li2Mn3Cr octahedra, edges with two equivalent O(7)Li3Mn2Cr octahedra, and edges with two equivalent O(5)Li4MnCr octahedra. The corner-sharing octahedral tilt angles range from 0-15°. In the second O site, O(2) is bonded to one Li(1), one Li(2), one Li(3), one Li(4), one Cr(1), and one Cr(2) atom to form OLi4Cr2 octahedra that share  a cornercorner with one O(1)Li2Mn3Cr octahedra,  a cornercorner with one O(4)Li3Mn2Cr octahedra,  a cornercorner with one O(9)Li4Cr2 octahedra,  a cornercorner with one O(5)Li4MnCr octahedra, corners with two equivalent O(8)Li2Mn3Cr octahedra,  an edgeedge with one O(1)Li2Mn3Cr octahedra,  an edgeedge with one O(10)Li2Mn3Cr octahedra,  an edgeedge with one O(3)Li2Mn3Cr octahedra,  an edgeedge with one O(4)Li3Mn2Cr octahedra, edges with two equivalent O(7)Li3Mn2Cr octahedra, edges with two equivalent O(9)Li4Cr2 octahedra, edges with two equivalent O(5)Li4MnCr octahedra, and edges with two equivalent O(6)Li4MnCr octahedra. The corner-sharing octahedral tilt angles range from 0-12°. In the third O site, O(3) is bonded to one Li(2), one Li(5), one Cr(1), one Mn(1), one Mn(2), and one Mn(3) atom to form OLi2Mn3Cr octahedra that share  a cornercorner with one O(1)Li2Mn3Cr octahedra,  a cornercorner with one O(8)Li2Mn3Cr octahedra,  a cornercorner with one O(4)Li3Mn2Cr octahedra,  a cornercorner with one O(5)Li4MnCr octahedra, corners with two equivalent O(9)Li4Cr2 octahedra,  an edgeedge with one O(4)Li3Mn2Cr octahedra,  an edgeedge with one O(2)Li4Cr2 octahedra,  an edgeedge with one O(5)Li4MnCr octahedra,  an edgeedge with one O(6)Li4MnCr octahedra, edges with two equivalent O(1)Li2Mn3Cr octahedra, edges with two equivalent O(10)Li2Mn3Cr octahedra, edges with two equivalent O(8)Li2Mn3Cr octahedra, and edges with two equivalent O(7)Li3Mn2Cr octahedra. The corner-sharing octahedral tilt angles range from 0-11°. In the fourth O site, O(4) is bonded to one Li(1), one Li(3), one Li(5), one Cr(2), one Mn(1), and one Mn(3) atom to form OLi3Mn2Cr octahedra that share  a cornercorner with one O(10)Li2Mn3Cr octahedra,  a cornercorner with one O(3)Li2Mn3Cr octahedra,  a cornercorner with one O(2)Li4Cr2 octahedra,  a cornercorner with one O(6)Li4MnCr octahedra, corners with two equivalent O(7)Li3Mn2Cr octahedra,  an edgeedge with one O(1)Li2Mn3Cr octahedra,  an edgeedge with one O(3)Li2Mn3Cr octahedra,  an edgeedge with one O(2)Li4Cr2 octahedra,  an edgeedge with one O(5)Li4MnCr octahedra, edges with two equivalent O(10)Li2Mn3Cr octahedra, edges with two equivalent O(8)Li2Mn3Cr octahedra, edges with two equivalent O(9)Li4Cr2 octahedra, and edges with two equivalent O(6)Li4MnCr octahedra. The corner-sharing octahedral tilt angles range from 0-13°. In the fifth O site, O(5) is bonded to one Li(1), one Li(2), one Li(3), one Li(4), one Cr(1), and one Mn(2) atom to form OLi4MnCr octahedra that share  a cornercorner with one O(3)Li2Mn3Cr octahedra,  a cornercorner with one O(7)Li3Mn2Cr octahedra,  a cornercorner with one O(2)Li4Cr2 octahedra,  a cornercorner with one O(6)Li4MnCr octahedra, corners with two equivalent O(10)Li2Mn3Cr octahedra,  an edgeedge with one O(3)Li2Mn3Cr octahedra,  an edgeedge with one O(8)Li2Mn3Cr octahedra,  an edgeedge with one O(4)Li3Mn2Cr octahedra,  an edgeedge with one O(6)Li4MnCr octahedra, edges with two equivalent O(1)Li2Mn3Cr octahedra, edges with two equivalent O(7)Li3Mn2Cr octahedra, edges with two equivalent O(2)Li4Cr2 octahedra, and edges with two equivalent O(9)Li4Cr2 octahedra. The corner-sharing octahedral tilt angles range from 0-12°. In the sixth O site, O(6) is bonded to one Li(1), one Li(3), one Li(4), one Li(5), one Cr(2), and one Mn(3) atom to form OLi4MnCr octahedra that share  a cornercorner with one O(8)Li2Mn3Cr octahedra,  a cornercorner with one O(4)Li3Mn2Cr octahedra,  a cornercorner with one O(9)Li4Cr2 octahedra,  a cornercorner with one O(5)Li4MnCr octahedra, corners with two equivalent O(1)Li2Mn3Cr octahedra,  an edgeedge with one O(3)Li2Mn3Cr octahedra,  an edgeedge with one O(8)Li2Mn3Cr octahedra,  an edgeedge with one O(7)Li3Mn2Cr octahedra,  an edgeedge with one O(5)Li4MnCr octahedra, edges with two equivalent O(10)Li2Mn3Cr octahedra, edges with two equivalent O(4)Li3Mn2Cr octahedra, edges with two equivalent O(2)Li4Cr2 octahedra, and edges with two equivalent O(9)Li4Cr2 octahedra. The corner-sharing octahedral tilt angles range from 0-11°. In the seventh O site, O(7) is bonded to one Li(2), one Li(3), one Li(4), one Cr(1), one Mn(1), and one Mn(2) atom to form OLi3Mn2Cr octahedra that share  a cornercorner with one O(1)Li2Mn3Cr octahedra,  a cornercorner with one O(8)Li2Mn3Cr octahedra,  a cornercorner with one O(9)Li4Cr2 octahedra,  a cornercorner with one O(5)Li4MnCr octahedra, corners with two equivalent O(4)Li3Mn2Cr octahedra,  an edgeedge with one O(10)Li2Mn3Cr octahedra,  an edgeedge with one O(8)Li2Mn3Cr octahedra,  an edgeedge with one O(9)Li4Cr2 octahedra,  an edgeedge with one O(6)Li4MnCr octahedra, edges with two equivalent O(1)Li2Mn3Cr octahedra, edges with two equivalent O(3)Li2Mn3Cr octahedra, edges with two equivalent O(2)Li4Cr2 octahedra, and edges with two equivalent O(5)Li4MnCr octahedra. The corner-sharing octahedral tilt angles range from 0-15°. In the eighth O site, O(8) is bonded to one Li(2), one Li(5), 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(10)Li2Mn3Cr octahedra,  a cornercorner with one O(3)Li2Mn3Cr octahedra,  a cornercorner with one O(7)Li3Mn2Cr octahedra,  a cornercorner with one O(6)Li4MnCr octahedra, corners with two equivalent O(2)Li4Cr2 octahedra,  an edgeedge with one O(7)Li3Mn2Cr octahedra,  an edgeedge with one O(9)Li4Cr2 octahedra,  an edgeedge with one O(5)Li4MnCr octahedra,  an edgeedge with one O(6)Li4MnCr octahedra, edges with two equivalent O(1)Li2Mn3Cr octahedra, edges with two equivalent O(10)Li2Mn3Cr octahedra, edges with two equivalent O(3)Li2Mn3Cr octahedra, and edges with two equivalent O(4)Li3Mn2Cr octahedra. The corner-sharing octahedral tilt angles range from 0-10°. In the ninth O site, O(9) is bonded to one Li(1), one Li(3), one Li(4), one Li(5), one Cr(1), and one Cr(2) atom to form OLi4Cr2 octahedra that share  a cornercorner with one O(10)Li2Mn3Cr octahedra,  a cornercorner with one O(7)Li3Mn2Cr octahedra,  a cornercorner with one O(2)Li4Cr2 octahedra,  a cornercorner with one O(6)Li4MnCr octahedra, corners with two equivalent O(3)Li2Mn3Cr octahedra,  an edgeedge with one O(1)Li2Mn3Cr octahedra,  an edgeedge with one O(10)Li2Mn3Cr octahedra,  an edgeedge with one O(8)Li2Mn3Cr octahedra,  an edgeedge with one O(7)Li3Mn2Cr octahedra, edges with two equivalent O(4)Li3Mn2Cr octahedra, edges with two equivalent O(2)Li4Cr2 octahedra, edges with two equivalent O(5)Li4MnCr octahedra, and edges with two equivalent O(6)Li4MnCr octahedra. The corner-sharing octahedral tilt angles range from 0-11°. In the tenth O site, O(10) is bonded to one Li(1), one Li(5), 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(1)Li2Mn3Cr octahedra,  a cornercorner with one O(8)Li2Mn3Cr octahedra,  a cornercorner with one O(4)Li3Mn2Cr octahedra,  a cornercorner with one O(9)Li4Cr2 octahedra, corners with two equivalent O(5)Li4MnCr octahedra,  an edgeedge with one O(1)Li2Mn3Cr octahedra,  an edgeedge with one O(7)Li3Mn2Cr octahedra,  an edgeedge with one O(2)Li4Cr2 octahedra,  an edgeedge with one O(9)Li4Cr2 octahedra, edges with two equivalent O(3)Li2Mn3Cr octahedra, edges with two equivalent O(8)Li2Mn3Cr octahedra, edges with two equivalent O(4)Li3Mn2Cr octahedra, and edges with two equivalent O(6)Li4MnCr octahedra. The corner-sharing octahedral tilt angles range from 0-13°. is represented by the Crystallographic Information File (CIF) [CIF]
data_Li5Mn3Cr2O10
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.201
_cell_length_b   5.211
_cell_length_c   7.780
_cell_angle_alpha   103.642
_cell_angle_beta   108.136
_cell_angle_gamma   99.651
_symmetry_Int_Tables_number   1
_cell_volume   187.997
_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  0.076  0.804  0.583  1.0
  Li  Li1  1  0.725  0.610  0.224  1.0
  Li  Li2  1  0.502  0.498  0.500  1.0
  Li  Li3  1  0.930  0.213  0.422  1.0
  Li  Li4  1  0.281  0.392  0.778  1.0
  Mn  Mn5  1  0.502  0.998  0.000  1.0
  Mn  Mn6  1  0.106  0.302  0.105  1.0
  Mn  Mn7  1  0.896  0.693  0.895  1.0
  Cr  Cr8  1  0.304  0.897  0.307  1.0
  Cr  Cr9  1  0.698  0.100  0.694  1.0
  O  O10  1  0.913  0.924  0.144  1.0
  O  O11  1  0.685  0.867  0.450  1.0
  O  O12  1  0.287  0.674  0.041  1.0
  O  O13  1  0.533  0.768  0.770  1.0
  O  O14  1  0.116  0.547  0.336  1.0
  O  O15  1  0.887  0.450  0.664  1.0
  O  O16  1  0.469  0.228  0.230  1.0
  O  O17  1  0.716  0.322  0.960  1.0
  O  O18  1  0.318  0.133  0.550  1.0
  O  O19  1  0.089  0.071  0.855  1.0
[/CIF]
.