The material described by Li4CrFe3O8 is alpha Po-derived structured and crystallizes in the triclinic P-1 space group. There are five inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(4), one O(8), two equivalent O(3), and two equivalent O(7) atoms to form LiO6 octahedra that share  a cornercorner with one Cr(1)O6 octahedra,  a cornercorner with one Fe(3)O6 octahedra, corners with two equivalent Fe(1)O6 octahedra, corners with two equivalent Fe(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, edges with three equivalent Fe(1)O6 octahedra, and edges with three equivalent Fe(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-5°. In the second Li site, Li(2) is bonded to one O(2), one O(4), one O(5), one O(6), one O(7), and one O(8) atom to form LiO6 octahedra that share  a cornercorner with one Fe(1)O6 octahedra, corners with two equivalent Fe(2)O6 octahedra, corners with three equivalent Fe(3)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Fe(2)O6 octahedra,  an edgeedge with one Fe(3)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, and edges with two equivalent Fe(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-5°. In the third Li site, Li(3) is bonded to one O(1), one O(2), one O(3), one O(4), one O(6), and one O(8) atom to form LiO6 octahedra that share  a cornercorner with one Fe(2)O6 octahedra, corners with two equivalent Fe(1)O6 octahedra, corners with three equivalent Cr(1)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra,  an edgeedge with one Fe(1)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Fe(2)O6 octahedra, and edges with two equivalent Fe(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-5°. In the fourth Li site, Li(4) is bonded to two equivalent O(1), two equivalent O(5), and two equivalent O(6) atoms to form LiO6 octahedra that share corners with two equivalent Fe(1)O6 octahedra, corners with four equivalent Cr(1)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with two equivalent Li(5)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, and edges with four equivalent Fe(3)O6 octahedra. The corner-sharing octahedral tilt angles are 5°. In the fifth Li site, Li(5) is bonded to two equivalent O(1), two equivalent O(2), and two equivalent O(5) atoms to form LiO6 octahedra that share corners with two equivalent Fe(2)O6 octahedra, corners with four equivalent Fe(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, edges with two equivalent Fe(3)O6 octahedra, and edges with four equivalent Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles are 5°. Cr(1) is bonded to one O(2), one O(5), one O(6), one O(8), and two equivalent O(1) atoms to form CrO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra, corners with two equivalent Li(4)O6 octahedra, corners with three equivalent Li(3)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra,  an edgeedge with one Fe(1)O6 octahedra,  an edgeedge with one Fe(2)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Li(5)O6 octahedra, and edges with three equivalent Fe(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-5°. There are three inequivalent Fe sites. In the first Fe site, Fe(1) is bonded to one O(3), one O(4), one O(6), one O(8), and two equivalent O(7) atoms to form FeO6 octahedra that share  a cornercorner with one Li(2)O6 octahedra,  a cornercorner with one Li(4)O6 octahedra, corners with two equivalent Li(1)O6 octahedra, corners with two equivalent Li(3)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra,  an edgeedge with one Fe(1)O6 octahedra,  an edgeedge with one Fe(3)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with three equivalent Li(1)O6 octahedra, and edges with three equivalent Fe(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-5°. In the second Fe site, Fe(2) is bonded to one O(2), one O(4), one O(7), one O(8), and two equivalent O(3) atoms to form FeO6 octahedra that share  a cornercorner with one Li(3)O6 octahedra,  a cornercorner with one Li(5)O6 octahedra, corners with two equivalent Li(1)O6 octahedra, corners with two equivalent Li(2)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra,  an edgeedge with one Fe(2)O6 octahedra,  an edgeedge with one Fe(3)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with three equivalent Li(1)O6 octahedra, and edges with three equivalent Fe(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-5°. In the third Fe site, Fe(3) is bonded to one O(1), one O(2), one O(4), one O(6), and two equivalent O(5) atoms to form FeO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra, corners with two equivalent Li(5)O6 octahedra, corners with three equivalent Li(2)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Fe(1)O6 octahedra,  an edgeedge with one Fe(2)O6 octahedra,  an edgeedge with one Fe(3)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with two equivalent Li(4)O6 octahedra, and edges with three equivalent Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-5°. There are eight inequivalent O sites. In the first O site, O(1) is bonded to one Li(3), one Li(4), one Li(5), two equivalent Cr(1), and one Fe(3) atom to form OLi3Cr2Fe octahedra that share  a cornercorner with one O(8)Li3CrFe2 octahedra,  a cornercorner with one O(3)Li3Fe3 octahedra, corners with two equivalent O(1)Li3Cr2Fe octahedra, corners with two equivalent O(6)Li3CrFe2 octahedra,  an edgeedge with one O(1)Li3Cr2Fe octahedra,  an edgeedge with one O(8)Li3CrFe2 octahedra,  an edgeedge with one O(4)Li3Fe3 octahedra, edges with two equivalent O(6)Li3CrFe2 octahedra, edges with three equivalent O(2)Li3CrFe2 octahedra, and edges with four equivalent O(5)Li3CrFe2 octahedra. The corner-sharing octahedral tilt angles range from 0-1°. In the second O site, O(2) is bonded to one Li(2), one Li(3), one Li(5), one Cr(1), one Fe(2), and one Fe(3) atom to form OLi3CrFe2 octahedra that share  a cornercorner with one O(2)Li3CrFe2 octahedra,  a cornercorner with one O(3)Li3Fe3 octahedra, corners with two equivalent O(5)Li3CrFe2 octahedra, corners with two equivalent O(4)Li3Fe3 octahedra,  an edgeedge with one O(3)Li3Fe3 octahedra,  an edgeedge with one O(4)Li3Fe3 octahedra,  an edgeedge with one O(7)Li3Fe3 octahedra, edges with two equivalent O(5)Li3CrFe2 octahedra, edges with two equivalent O(6)Li3CrFe2 octahedra, edges with two equivalent O(8)Li3CrFe2 octahedra, and edges with three equivalent O(1)Li3Cr2Fe octahedra. The corner-sharing octahedral tilt angles range from 0-1°. In the third O site, O(3) is bonded to one Li(3), two equivalent Li(1), one Fe(1), and two equivalent Fe(2) atoms to form OLi3Fe3 octahedra that share  a cornercorner with one O(1)Li3Cr2Fe octahedra,  a cornercorner with one O(2)Li3CrFe2 octahedra, corners with two equivalent O(8)Li3CrFe2 octahedra, corners with two equivalent O(7)Li3Fe3 octahedra,  an edgeedge with one O(2)Li3CrFe2 octahedra,  an edgeedge with one O(6)Li3CrFe2 octahedra, edges with two equivalent O(8)Li3CrFe2 octahedra, edges with two equivalent O(3)Li3Fe3 octahedra, edges with three equivalent O(4)Li3Fe3 octahedra, and edges with three equivalent O(7)Li3Fe3 octahedra. The corner-sharing octahedral tilt angles range from 0-1°. In the fourth O site, O(4) is bonded to one Li(1), one Li(2), one Li(3), one Fe(1), one Fe(2), and one Fe(3) atom to form OLi3Fe3 octahedra that share  a cornercorner with one O(5)Li3CrFe2 octahedra,  a cornercorner with one O(8)Li3CrFe2 octahedra, corners with two equivalent O(2)Li3CrFe2 octahedra, corners with two equivalent O(7)Li3Fe3 octahedra,  an edgeedge with one O(1)Li3Cr2Fe octahedra,  an edgeedge with one O(2)Li3CrFe2 octahedra,  an edgeedge with one O(5)Li3CrFe2 octahedra, edges with two equivalent O(6)Li3CrFe2 octahedra, edges with two equivalent O(8)Li3CrFe2 octahedra, edges with two equivalent O(7)Li3Fe3 octahedra, and edges with three equivalent O(3)Li3Fe3 octahedra. The corner-sharing octahedral tilt angles range from 0-1°. In the fifth O site, O(5) is bonded to one Li(2), one Li(4), one Li(5), one Cr(1), and two equivalent Fe(3) atoms to form OLi3CrFe2 octahedra that share  a cornercorner with one O(4)Li3Fe3 octahedra,  a cornercorner with one O(7)Li3Fe3 octahedra, corners with two equivalent O(2)Li3CrFe2 octahedra, corners with two equivalent O(5)Li3CrFe2 octahedra,  an edgeedge with one O(5)Li3CrFe2 octahedra,  an edgeedge with one O(8)Li3CrFe2 octahedra,  an edgeedge with one O(4)Li3Fe3 octahedra, edges with two equivalent O(2)Li3CrFe2 octahedra, edges with three equivalent O(6)Li3CrFe2 octahedra, and edges with four equivalent O(1)Li3Cr2Fe octahedra. The corner-sharing octahedral tilt angles range from 0-1°. In the sixth O site, O(6) is bonded to one Li(2), one Li(3), one Li(4), one Cr(1), one Fe(1), and one Fe(3) atom to form OLi3CrFe2 octahedra that share  a cornercorner with one O(6)Li3CrFe2 octahedra,  a cornercorner with one O(7)Li3Fe3 octahedra, corners with two equivalent O(1)Li3Cr2Fe octahedra, corners with two equivalent O(8)Li3CrFe2 octahedra,  an edgeedge with one O(8)Li3CrFe2 octahedra,  an edgeedge with one O(3)Li3Fe3 octahedra,  an edgeedge with one O(7)Li3Fe3 octahedra, edges with two equivalent O(1)Li3Cr2Fe octahedra, edges with two equivalent O(2)Li3CrFe2 octahedra, edges with two equivalent O(4)Li3Fe3 octahedra, and edges with three equivalent O(5)Li3CrFe2 octahedra. The corner-sharing octahedral tilt angles range from 0-1°. In the seventh O site, O(7) is bonded to one Li(2), two equivalent Li(1), one Fe(2), and two equivalent Fe(1) atoms to form OLi3Fe3 octahedra that share  a cornercorner with one O(5)Li3CrFe2 octahedra,  a cornercorner with one O(6)Li3CrFe2 octahedra, corners with two equivalent O(3)Li3Fe3 octahedra, corners with two equivalent O(4)Li3Fe3 octahedra,  an edgeedge with one O(2)Li3CrFe2 octahedra,  an edgeedge with one O(6)Li3CrFe2 octahedra, edges with two equivalent O(4)Li3Fe3 octahedra, edges with two equivalent O(7)Li3Fe3 octahedra, edges with three equivalent O(8)Li3CrFe2 octahedra, and edges with three equivalent O(3)Li3Fe3 octahedra. The corner-sharing octahedral tilt angles range from 0-1°. In the eighth O site, O(8) is bonded to one Li(1), one Li(2), one Li(3), one Cr(1), one Fe(1), and one Fe(2) atom to form OLi3CrFe2 octahedra that share  a cornercorner with one O(1)Li3Cr2Fe octahedra,  a cornercorner with one O(4)Li3Fe3 octahedra, corners with two equivalent O(6)Li3CrFe2 octahedra, corners with two equivalent O(3)Li3Fe3 octahedra,  an edgeedge with one O(1)Li3Cr2Fe octahedra,  an edgeedge with one O(5)Li3CrFe2 octahedra,  an edgeedge with one O(6)Li3CrFe2 octahedra, edges with two equivalent O(2)Li3CrFe2 octahedra, edges with two equivalent O(3)Li3Fe3 octahedra, edges with two equivalent O(4)Li3Fe3 octahedra, and edges with three equivalent O(7)Li3Fe3 octahedra. The corner-sharing octahedral tilt angles range from 0-1°. is represented by the CIF file [CIF]
data_Li4CrFe3O8
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.196
_cell_length_b   5.969
_cell_length_c   10.756
_cell_angle_alpha   106.063
_cell_angle_beta   85.413
_cell_angle_gamma   73.194
_symmetry_Int_Tables_number   1
_cell_volume   302.222
_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  0.999  0.125  0.750  1.0
  Li  Li1  1  0.000  1.000  0.000  1.0
  Li  Li2  1  0.003  0.249  0.500  1.0
  Li  Li3  1  1.000  0.375  0.250  1.0
  Li  Li4  1  0.001  0.624  0.750  1.0
  Li  Li5  1  0.997  0.501  1.000  1.0
  Li  Li6  1  1.000  0.751  0.500  1.0
  Li  Li7  1  0.000  0.875  0.250  1.0
  Cr  Cr8  1  0.501  0.812  0.374  1.0
  Cr  Cr9  1  0.499  0.938  0.126  1.0
  Fe  Fe10  1  0.499  0.063  0.876  1.0
  Fe  Fe11  1  0.500  0.187  0.624  1.0
  Fe  Fe12  1  0.501  0.313  0.374  1.0
  Fe  Fe13  1  0.500  0.563  0.876  1.0
  Fe  Fe14  1  0.499  0.437  0.126  1.0
  Fe  Fe15  1  0.501  0.687  0.624  1.0
  O  O16  1  0.273  0.086  0.310  1.0
  O  O17  1  0.727  0.036  0.438  1.0
  O  O18  1  0.271  0.338  0.812  1.0
  O  O19  1  0.729  0.287  0.940  1.0
  O  O20  1  0.726  0.161  0.189  1.0
  O  O21  1  0.270  0.212  0.063  1.0
  O  O22  1  0.271  0.463  0.560  1.0
  O  O23  1  0.729  0.412  0.688  1.0
  O  O24  1  0.274  0.589  0.311  1.0
  O  O25  1  0.730  0.538  0.437  1.0
  O  O26  1  0.271  0.837  0.810  1.0
  O  O27  1  0.726  0.789  0.941  1.0
  O  O28  1  0.273  0.714  0.062  1.0
  O  O29  1  0.274  0.961  0.559  1.0
  O  O30  1  0.727  0.664  0.190  1.0
  O  O31  1  0.729  0.912  0.690  1.0
[/CIF]
.
The material described by Li4CrFe3O8 is alpha Po-derived structured and crystallizes in the triclinic P-1 space group. There are five inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(4), one O(8), two equivalent O(3), and two equivalent O(7) atoms to form LiO6 octahedra that share  a cornercorner with one Cr(1)O6 octahedra,  a cornercorner with one Fe(3)O6 octahedra, corners with two equivalent Fe(1)O6 octahedra, corners with two equivalent Fe(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, edges with three equivalent Fe(1)O6 octahedra, and edges with three equivalent Fe(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-5°. In the second Li site, Li(2) is bonded to one O(2), one O(4), one O(5), one O(6), one O(7), and one O(8) atom to form LiO6 octahedra that share  a cornercorner with one Fe(1)O6 octahedra, corners with two equivalent Fe(2)O6 octahedra, corners with three equivalent Fe(3)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Fe(2)O6 octahedra,  an edgeedge with one Fe(3)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, and edges with two equivalent Fe(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-5°. In the third Li site, Li(3) is bonded to one O(1), one O(2), one O(3), one O(4), one O(6), and one O(8) atom to form LiO6 octahedra that share  a cornercorner with one Fe(2)O6 octahedra, corners with two equivalent Fe(1)O6 octahedra, corners with three equivalent Cr(1)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra,  an edgeedge with one Fe(1)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Fe(2)O6 octahedra, and edges with two equivalent Fe(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-5°. In the fourth Li site, Li(4) is bonded to two equivalent O(1), two equivalent O(5), and two equivalent O(6) atoms to form LiO6 octahedra that share corners with two equivalent Fe(1)O6 octahedra, corners with four equivalent Cr(1)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with two equivalent Li(5)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, and edges with four equivalent Fe(3)O6 octahedra. The corner-sharing octahedral tilt angles are 5°. In the fifth Li site, Li(5) is bonded to two equivalent O(1), two equivalent O(2), and two equivalent O(5) atoms to form LiO6 octahedra that share corners with two equivalent Fe(2)O6 octahedra, corners with four equivalent Fe(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, edges with two equivalent Fe(3)O6 octahedra, and edges with four equivalent Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles are 5°. Cr(1) is bonded to one O(2), one O(5), one O(6), one O(8), and two equivalent O(1) atoms to form CrO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra, corners with two equivalent Li(4)O6 octahedra, corners with three equivalent Li(3)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra,  an edgeedge with one Fe(1)O6 octahedra,  an edgeedge with one Fe(2)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Li(5)O6 octahedra, and edges with three equivalent Fe(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-5°. There are three inequivalent Fe sites. In the first Fe site, Fe(1) is bonded to one O(3), one O(4), one O(6), one O(8), and two equivalent O(7) atoms to form FeO6 octahedra that share  a cornercorner with one Li(2)O6 octahedra,  a cornercorner with one Li(4)O6 octahedra, corners with two equivalent Li(1)O6 octahedra, corners with two equivalent Li(3)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra,  an edgeedge with one Fe(1)O6 octahedra,  an edgeedge with one Fe(3)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with three equivalent Li(1)O6 octahedra, and edges with three equivalent Fe(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-5°. In the second Fe site, Fe(2) is bonded to one O(2), one O(4), one O(7), one O(8), and two equivalent O(3) atoms to form FeO6 octahedra that share  a cornercorner with one Li(3)O6 octahedra,  a cornercorner with one Li(5)O6 octahedra, corners with two equivalent Li(1)O6 octahedra, corners with two equivalent Li(2)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra,  an edgeedge with one Fe(2)O6 octahedra,  an edgeedge with one Fe(3)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with three equivalent Li(1)O6 octahedra, and edges with three equivalent Fe(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-5°. In the third Fe site, Fe(3) is bonded to one O(1), one O(2), one O(4), one O(6), and two equivalent O(5) atoms to form FeO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra, corners with two equivalent Li(5)O6 octahedra, corners with three equivalent Li(2)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Fe(1)O6 octahedra,  an edgeedge with one Fe(2)O6 octahedra,  an edgeedge with one Fe(3)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with two equivalent Li(4)O6 octahedra, and edges with three equivalent Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-5°. There are eight inequivalent O sites. In the first O site, O(1) is bonded to one Li(3), one Li(4), one Li(5), two equivalent Cr(1), and one Fe(3) atom to form OLi3Cr2Fe octahedra that share  a cornercorner with one O(8)Li3CrFe2 octahedra,  a cornercorner with one O(3)Li3Fe3 octahedra, corners with two equivalent O(1)Li3Cr2Fe octahedra, corners with two equivalent O(6)Li3CrFe2 octahedra,  an edgeedge with one O(1)Li3Cr2Fe octahedra,  an edgeedge with one O(8)Li3CrFe2 octahedra,  an edgeedge with one O(4)Li3Fe3 octahedra, edges with two equivalent O(6)Li3CrFe2 octahedra, edges with three equivalent O(2)Li3CrFe2 octahedra, and edges with four equivalent O(5)Li3CrFe2 octahedra. The corner-sharing octahedral tilt angles range from 0-1°. In the second O site, O(2) is bonded to one Li(2), one Li(3), one Li(5), one Cr(1), one Fe(2), and one Fe(3) atom to form OLi3CrFe2 octahedra that share  a cornercorner with one O(2)Li3CrFe2 octahedra,  a cornercorner with one O(3)Li3Fe3 octahedra, corners with two equivalent O(5)Li3CrFe2 octahedra, corners with two equivalent O(4)Li3Fe3 octahedra,  an edgeedge with one O(3)Li3Fe3 octahedra,  an edgeedge with one O(4)Li3Fe3 octahedra,  an edgeedge with one O(7)Li3Fe3 octahedra, edges with two equivalent O(5)Li3CrFe2 octahedra, edges with two equivalent O(6)Li3CrFe2 octahedra, edges with two equivalent O(8)Li3CrFe2 octahedra, and edges with three equivalent O(1)Li3Cr2Fe octahedra. The corner-sharing octahedral tilt angles range from 0-1°. In the third O site, O(3) is bonded to one Li(3), two equivalent Li(1), one Fe(1), and two equivalent Fe(2) atoms to form OLi3Fe3 octahedra that share  a cornercorner with one O(1)Li3Cr2Fe octahedra,  a cornercorner with one O(2)Li3CrFe2 octahedra, corners with two equivalent O(8)Li3CrFe2 octahedra, corners with two equivalent O(7)Li3Fe3 octahedra,  an edgeedge with one O(2)Li3CrFe2 octahedra,  an edgeedge with one O(6)Li3CrFe2 octahedra, edges with two equivalent O(8)Li3CrFe2 octahedra, edges with two equivalent O(3)Li3Fe3 octahedra, edges with three equivalent O(4)Li3Fe3 octahedra, and edges with three equivalent O(7)Li3Fe3 octahedra. The corner-sharing octahedral tilt angles range from 0-1°. In the fourth O site, O(4) is bonded to one Li(1), one Li(2), one Li(3), one Fe(1), one Fe(2), and one Fe(3) atom to form OLi3Fe3 octahedra that share  a cornercorner with one O(5)Li3CrFe2 octahedra,  a cornercorner with one O(8)Li3CrFe2 octahedra, corners with two equivalent O(2)Li3CrFe2 octahedra, corners with two equivalent O(7)Li3Fe3 octahedra,  an edgeedge with one O(1)Li3Cr2Fe octahedra,  an edgeedge with one O(2)Li3CrFe2 octahedra,  an edgeedge with one O(5)Li3CrFe2 octahedra, edges with two equivalent O(6)Li3CrFe2 octahedra, edges with two equivalent O(8)Li3CrFe2 octahedra, edges with two equivalent O(7)Li3Fe3 octahedra, and edges with three equivalent O(3)Li3Fe3 octahedra. The corner-sharing octahedral tilt angles range from 0-1°. In the fifth O site, O(5) is bonded to one Li(2), one Li(4), one Li(5), one Cr(1), and two equivalent Fe(3) atoms to form OLi3CrFe2 octahedra that share  a cornercorner with one O(4)Li3Fe3 octahedra,  a cornercorner with one O(7)Li3Fe3 octahedra, corners with two equivalent O(2)Li3CrFe2 octahedra, corners with two equivalent O(5)Li3CrFe2 octahedra,  an edgeedge with one O(5)Li3CrFe2 octahedra,  an edgeedge with one O(8)Li3CrFe2 octahedra,  an edgeedge with one O(4)Li3Fe3 octahedra, edges with two equivalent O(2)Li3CrFe2 octahedra, edges with three equivalent O(6)Li3CrFe2 octahedra, and edges with four equivalent O(1)Li3Cr2Fe octahedra. The corner-sharing octahedral tilt angles range from 0-1°. In the sixth O site, O(6) is bonded to one Li(2), one Li(3), one Li(4), one Cr(1), one Fe(1), and one Fe(3) atom to form OLi3CrFe2 octahedra that share  a cornercorner with one O(6)Li3CrFe2 octahedra,  a cornercorner with one O(7)Li3Fe3 octahedra, corners with two equivalent O(1)Li3Cr2Fe octahedra, corners with two equivalent O(8)Li3CrFe2 octahedra,  an edgeedge with one O(8)Li3CrFe2 octahedra,  an edgeedge with one O(3)Li3Fe3 octahedra,  an edgeedge with one O(7)Li3Fe3 octahedra, edges with two equivalent O(1)Li3Cr2Fe octahedra, edges with two equivalent O(2)Li3CrFe2 octahedra, edges with two equivalent O(4)Li3Fe3 octahedra, and edges with three equivalent O(5)Li3CrFe2 octahedra. The corner-sharing octahedral tilt angles range from 0-1°. In the seventh O site, O(7) is bonded to one Li(2), two equivalent Li(1), one Fe(2), and two equivalent Fe(1) atoms to form OLi3Fe3 octahedra that share  a cornercorner with one O(5)Li3CrFe2 octahedra,  a cornercorner with one O(6)Li3CrFe2 octahedra, corners with two equivalent O(3)Li3Fe3 octahedra, corners with two equivalent O(4)Li3Fe3 octahedra,  an edgeedge with one O(2)Li3CrFe2 octahedra,  an edgeedge with one O(6)Li3CrFe2 octahedra, edges with two equivalent O(4)Li3Fe3 octahedra, edges with two equivalent O(7)Li3Fe3 octahedra, edges with three equivalent O(8)Li3CrFe2 octahedra, and edges with three equivalent O(3)Li3Fe3 octahedra. The corner-sharing octahedral tilt angles range from 0-1°. In the eighth O site, O(8) is bonded to one Li(1), one Li(2), one Li(3), one Cr(1), one Fe(1), and one Fe(2) atom to form OLi3CrFe2 octahedra that share  a cornercorner with one O(1)Li3Cr2Fe octahedra,  a cornercorner with one O(4)Li3Fe3 octahedra, corners with two equivalent O(6)Li3CrFe2 octahedra, corners with two equivalent O(3)Li3Fe3 octahedra,  an edgeedge with one O(1)Li3Cr2Fe octahedra,  an edgeedge with one O(5)Li3CrFe2 octahedra,  an edgeedge with one O(6)Li3CrFe2 octahedra, edges with two equivalent O(2)Li3CrFe2 octahedra, edges with two equivalent O(3)Li3Fe3 octahedra, edges with two equivalent O(4)Li3Fe3 octahedra, and edges with three equivalent O(7)Li3Fe3 octahedra. The corner-sharing octahedral tilt angles range from 0-1°. is represented by the CIF file [CIF]
data_Li4CrFe3O8
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.196
_cell_length_b   5.969
_cell_length_c   10.756
_cell_angle_alpha   106.063
_cell_angle_beta   85.413
_cell_angle_gamma   73.194
_symmetry_Int_Tables_number   1
_cell_volume   302.222
_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  0.999  0.125  0.750  1.0
  Li  Li1  1  0.000  1.000  0.000  1.0
  Li  Li2  1  0.003  0.249  0.500  1.0
  Li  Li3  1  1.000  0.375  0.250  1.0
  Li  Li4  1  0.001  0.624  0.750  1.0
  Li  Li5  1  0.997  0.501  1.000  1.0
  Li  Li6  1  1.000  0.751  0.500  1.0
  Li  Li7  1  0.000  0.875  0.250  1.0
  Cr  Cr8  1  0.501  0.812  0.374  1.0
  Cr  Cr9  1  0.499  0.938  0.126  1.0
  Fe  Fe10  1  0.499  0.063  0.876  1.0
  Fe  Fe11  1  0.500  0.187  0.624  1.0
  Fe  Fe12  1  0.501  0.313  0.374  1.0
  Fe  Fe13  1  0.500  0.563  0.876  1.0
  Fe  Fe14  1  0.499  0.437  0.126  1.0
  Fe  Fe15  1  0.501  0.687  0.624  1.0
  O  O16  1  0.273  0.086  0.310  1.0
  O  O17  1  0.727  0.036  0.438  1.0
  O  O18  1  0.271  0.338  0.812  1.0
  O  O19  1  0.729  0.287  0.940  1.0
  O  O20  1  0.726  0.161  0.189  1.0
  O  O21  1  0.270  0.212  0.063  1.0
  O  O22  1  0.271  0.463  0.560  1.0
  O  O23  1  0.729  0.412  0.688  1.0
  O  O24  1  0.274  0.589  0.311  1.0
  O  O25  1  0.730  0.538  0.437  1.0
  O  O26  1  0.271  0.837  0.810  1.0
  O  O27  1  0.726  0.789  0.941  1.0
  O  O28  1  0.273  0.714  0.062  1.0
  O  O29  1  0.274  0.961  0.559  1.0
  O  O30  1  0.727  0.664  0.190  1.0
  O  O31  1  0.729  0.912  0.690  1.0
[/CIF]
.