The structure described by Li4Cr3Mn3(FeO8)2 is Spinel-derived structured and crystallizes in the triclinic P1 space group. There are four inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(11), one O(12), one O(15), and one O(3) atom to form LiO4 tetrahedra that share  a cornercorner with one Cr(1)O6 octahedra,  a cornercorner with one Cr(2)O6 octahedra,  a cornercorner with one Mn(1)O6 octahedra, corners with two equivalent Cr(3)O6 octahedra, corners with two equivalent Mn(2)O6 octahedra, corners with two equivalent Mn(3)O6 octahedra, and corners with three equivalent Fe(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 56-62°. In the second Li site, Li(2) is bonded to one O(14), one O(16), one O(5), and one O(9) atom to form distorted LiO4 trigonal pyramids that share  a cornercorner with one Cr(3)O6 octahedra,  a cornercorner with one Mn(2)O6 octahedra,  a cornercorner with one Mn(3)O6 octahedra, corners with three equivalent Fe(2)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra, and  an edgeedge with one Mn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 61-64°. In the third Li site, Li(3) is bonded to one O(1), one O(10), one O(4), and one O(6) atom to form distorted LiO4 trigonal pyramids that share  a cornercorner with one Cr(1)O6 octahedra,  a cornercorner with one Cr(2)O6 octahedra,  a cornercorner with one Mn(1)O6 octahedra, corners with three equivalent Fe(1)O6 octahedra,  an edgeedge with one Cr(3)O6 octahedra,  an edgeedge with one Mn(2)O6 octahedra, and  an edgeedge with one Mn(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 60-64°. In the fourth Li site, Li(4) is bonded to one O(13), one O(2), one O(7), and one O(8) atom to form LiO4 tetrahedra that share  a cornercorner with one Cr(3)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, corners with two equivalent Cr(2)O6 octahedra, corners with two equivalent Mn(1)O6 octahedra, and corners with three equivalent Fe(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 57-63°. There are three inequivalent Cr sites. In the first Cr site, Cr(1) is bonded to one O(14), one O(2), one O(3), one O(4), one O(7), and one O(9) atom to form CrO6 octahedra that share corners with two equivalent Fe(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  a cornercorner with one Li(3)O4 trigonal pyramid,  an edgeedge with one Fe(1)O6 octahedra, edges with two equivalent Cr(2)O6 octahedra, edges with two equivalent Mn(1)O6 octahedra, and  an edgeedge with one Li(2)O4 trigonal pyramid. The corner-sharing octahedral tilt angles range from 50-51°. In the second Cr site, Cr(2) is bonded to one O(16), one O(2), one O(3), one O(4), one O(8), and one O(9) atom to form CrO6 octahedra that share corners with two equivalent Fe(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  a cornercorner with one Li(3)O4 trigonal pyramid,  an edgeedge with one Fe(1)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, edges with two equivalent Mn(1)O6 octahedra, and  an edgeedge with one Li(2)O4 trigonal pyramid. The corner-sharing octahedral tilt angles range from 52-54°. In the third Cr site, Cr(3) is bonded to one O(1), one O(11), one O(12), one O(13), one O(5), and one O(6) atom to form CrO6 octahedra that share corners with two equivalent Fe(1)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  a cornercorner with one Li(2)O4 trigonal pyramid,  an edgeedge with one Fe(2)O6 octahedra, edges with two equivalent Mn(2)O6 octahedra, edges with two equivalent Mn(3)O6 octahedra, and  an edgeedge with one Li(3)O4 trigonal pyramid. The corner-sharing octahedral tilt angles are 53°. There are three inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to one O(14), one O(16), one O(3), one O(4), one O(7), and one O(8) atom to form MnO6 octahedra that share corners with two equivalent Fe(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  a cornercorner with one Li(3)O4 trigonal pyramid,  an edgeedge with one Fe(1)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, edges with two equivalent Cr(2)O6 octahedra, and  an edgeedge with one Li(2)O4 trigonal pyramid. The corner-sharing octahedral tilt angles range from 51-53°. In the second Mn site, Mn(2) is bonded to one O(1), one O(10), one O(11), one O(13), one O(15), and one O(5) atom to form MnO6 octahedra that share corners with two equivalent Fe(1)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  a cornercorner with one Li(2)O4 trigonal pyramid,  an edgeedge with one Fe(2)O6 octahedra, edges with two equivalent Cr(3)O6 octahedra, edges with two equivalent Mn(3)O6 octahedra, and  an edgeedge with one Li(3)O4 trigonal pyramid. The corner-sharing octahedral tilt angles range from 51-52°. In the third Mn site, Mn(3) is bonded to one O(10), one O(12), one O(13), one O(15), one O(5), and one O(6) atom to form MnO6 octahedra that share corners with two equivalent Fe(1)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  a cornercorner with one Li(2)O4 trigonal pyramid,  an edgeedge with one Fe(2)O6 octahedra, edges with two equivalent Cr(3)O6 octahedra, edges with two equivalent Mn(2)O6 octahedra, and  an edgeedge with one Li(3)O4 trigonal pyramid. The corner-sharing octahedral tilt angles are 51°. There are two inequivalent Fe sites. In the first Fe site, Fe(1) is bonded to one O(1), one O(10), one O(2), one O(6), one O(7), and one O(8) atom to form FeO6 octahedra that share corners with two equivalent Cr(3)O6 octahedra, corners with two equivalent Mn(2)O6 octahedra, corners with two equivalent Mn(3)O6 octahedra, corners with three equivalent Li(4)O4 tetrahedra, corners with three equivalent Li(3)O4 trigonal pyramids,  an edgeedge with one Cr(1)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra, and  an edgeedge with one Mn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 51-53°. In the second Fe site, Fe(2) is bonded to one O(11), one O(12), one O(14), one O(15), one O(16), and one O(9) atom to form FeO6 octahedra that share corners with two equivalent Cr(1)O6 octahedra, corners with two equivalent Cr(2)O6 octahedra, corners with two equivalent Mn(1)O6 octahedra, corners with three equivalent Li(1)O4 tetrahedra, corners with three equivalent Li(2)O4 trigonal pyramids,  an edgeedge with one Cr(3)O6 octahedra,  an edgeedge with one Mn(2)O6 octahedra, and  an edgeedge with one Mn(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 50-54°. There are sixteen inequivalent O sites. In the first O site, O(1) is bonded in a rectangular see-saw-like geometry to one Li(3), one Cr(3), one Mn(2), and one Fe(1) atom. In the second O site, O(2) is bonded to one Li(4), one Cr(1), one Cr(2), and one Fe(1) atom to form distorted OLiCr2Fe tetrahedra that share  a cornercorner with one O(7)LiMnCrFe tetrahedra,  a cornercorner with one O(8)LiMnCrFe tetrahedra, corners with two equivalent O(4)LiMnCr2 tetrahedra,  an edgeedge with one O(7)LiMnCrFe tetrahedra, and  an edgeedge with one O(8)LiMnCrFe tetrahedra. In the third O site, O(3) is bonded in a rectangular see-saw-like geometry to one Li(1), one Cr(1), one Cr(2), and one Mn(1) atom. In the fourth O site, O(4) is bonded to one Li(3), one Cr(1), one Cr(2), and one Mn(1) atom to form distorted OLiMnCr2 tetrahedra that share corners with two equivalent O(2)LiCr2Fe tetrahedra, corners with two equivalent O(7)LiMnCrFe tetrahedra, and corners with two equivalent O(8)LiMnCrFe tetrahedra. In the fifth O site, O(5) is bonded to one Li(2), one Cr(3), one Mn(2), and one Mn(3) atom to form distorted OLiMn2Cr tetrahedra that share corners with two equivalent O(15)LiMn2Fe tetrahedra, corners with two equivalent O(11)LiMnCrFe tetrahedra, and corners with two equivalent O(12)LiMnCrFe tetrahedra. In the sixth O site, O(6) is bonded in a rectangular see-saw-like geometry to one Li(3), one Cr(3), one Mn(3), and one Fe(1) atom. In the seventh O site, O(7) is bonded to one Li(4), one Cr(1), one Mn(1), and one Fe(1) atom to form distorted OLiMnCrFe tetrahedra that share  a cornercorner with one O(2)LiCr2Fe tetrahedra,  a cornercorner with one O(8)LiMnCrFe tetrahedra, corners with two equivalent O(4)LiMnCr2 tetrahedra,  an edgeedge with one O(2)LiCr2Fe tetrahedra, and  an edgeedge with one O(8)LiMnCrFe tetrahedra. In the eighth O site, O(8) is bonded to one Li(4), one Cr(2), one Mn(1), and one Fe(1) atom to form distorted OLiMnCrFe tetrahedra that share  a cornercorner with one O(2)LiCr2Fe tetrahedra,  a cornercorner with one O(7)LiMnCrFe tetrahedra, corners with two equivalent O(4)LiMnCr2 tetrahedra,  an edgeedge with one O(2)LiCr2Fe tetrahedra, and  an edgeedge with one O(7)LiMnCrFe tetrahedra. In the ninth O site, O(9) is bonded in a rectangular see-saw-like geometry to one Li(2), one Cr(1), one Cr(2), and one Fe(2) atom. In the tenth O site, O(10) is bonded in a rectangular see-saw-like geometry to one Li(3), one Mn(2), one Mn(3), and one Fe(1) atom. In the eleventh O site, O(11) is bonded to one Li(1), one Cr(3), one Mn(2), and one Fe(2) atom to form distorted OLiMnCrFe tetrahedra that share  a cornercorner with one O(15)LiMn2Fe tetrahedra,  a cornercorner with one O(12)LiMnCrFe tetrahedra, corners with two equivalent O(5)LiMn2Cr tetrahedra,  an edgeedge with one O(15)LiMn2Fe tetrahedra, and  an edgeedge with one O(12)LiMnCrFe tetrahedra. In the twelfth O site, O(12) is bonded to one Li(1), one Cr(3), one Mn(3), and one Fe(2) atom to form distorted OLiMnCrFe tetrahedra that share  a cornercorner with one O(15)LiMn2Fe tetrahedra,  a cornercorner with one O(11)LiMnCrFe tetrahedra, corners with two equivalent O(5)LiMn2Cr tetrahedra,  an edgeedge with one O(15)LiMn2Fe tetrahedra, and  an edgeedge with one O(11)LiMnCrFe tetrahedra. In the thirteenth O site, O(13) is bonded in a rectangular see-saw-like geometry to one Li(4), one Cr(3), one Mn(2), and one Mn(3) atom. In the fourteenth O site, O(14) is bonded in a rectangular see-saw-like geometry to one Li(2), one Cr(1), one Mn(1), and one Fe(2) atom. In the fifteenth O site, O(15) is bonded to one Li(1), one Mn(2), one Mn(3), and one Fe(2) atom to form distorted OLiMn2Fe tetrahedra that share  a cornercorner with one O(11)LiMnCrFe tetrahedra,  a cornercorner with one O(12)LiMnCrFe tetrahedra, corners with two equivalent O(5)LiMn2Cr tetrahedra,  an edgeedge with one O(11)LiMnCrFe tetrahedra, and  an edgeedge with one O(12)LiMnCrFe tetrahedra. In the sixteenth O site, O(16) is bonded in a rectangular see-saw-like geometry to one Li(2), one Cr(2), one Mn(1), and one Fe(2) atom. is represented by the CIF file [CIF]
data_Li4Mn3Cr3(FeO8)2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.862
_cell_length_b   5.867
_cell_length_c   9.513
_cell_angle_alpha   90.220
_cell_angle_beta   90.291
_cell_angle_gamma   119.946
_symmetry_Int_Tables_number   1
_cell_volume   283.459
_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  0.670  0.342  0.107  1.0
  Li  Li1  1  0.998  0.994  0.003  1.0
  Li  Li2  1  0.998  0.998  0.504  1.0
  Li  Li3  1  0.338  0.671  0.607  1.0
  Mn  Mn4  1  0.832  0.660  0.784  1.0
  Mn  Mn5  1  0.661  0.831  0.285  1.0
  Mn  Mn6  1  0.169  0.831  0.285  1.0
  Cr  Cr7  1  0.831  0.166  0.788  1.0
  Cr  Cr8  1  0.339  0.169  0.786  1.0
  Cr  Cr9  1  0.169  0.339  0.286  1.0
  Fe  Fe10  1  0.662  0.325  0.509  1.0
  Fe  Fe11  1  0.326  0.663  0.010  1.0
  O  O12  1  0.832  0.155  0.400  1.0
  O  O13  1  0.529  0.039  0.665  1.0
  O  O14  1  0.675  0.345  0.894  1.0
  O  O15  1  0.993  0.989  0.689  1.0
  O  O16  1  0.994  0.991  0.190  1.0
  O  O17  1  0.323  0.154  0.400  1.0
  O  O18  1  0.964  0.481  0.666  1.0
  O  O19  1  0.527  0.487  0.661  1.0
  O  O20  1  0.151  0.323  0.899  1.0
  O  O21  1  0.839  0.676  0.396  1.0
  O  O22  1  0.488  0.528  0.162  1.0
  O  O23  1  0.038  0.528  0.163  1.0
  O  O24  1  0.340  0.679  0.391  1.0
  O  O25  1  0.675  0.840  0.895  1.0
  O  O26  1  0.482  0.966  0.166  1.0
  O  O27  1  0.158  0.831  0.900  1.0
[/CIF]
.
The structure described by Li4Cr3Mn3(FeO8)2 is Spinel-derived structured and crystallizes in the triclinic P1 space group. There are four inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(11), one O(12), one O(15), and one O(3) atom to form LiO4 tetrahedra that share  a cornercorner with one Cr(1)O6 octahedra,  a cornercorner with one Cr(2)O6 octahedra,  a cornercorner with one Mn(1)O6 octahedra, corners with two equivalent Cr(3)O6 octahedra, corners with two equivalent Mn(2)O6 octahedra, corners with two equivalent Mn(3)O6 octahedra, and corners with three equivalent Fe(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 56-62°. In the second Li site, Li(2) is bonded to one O(14), one O(16), one O(5), and one O(9) atom to form distorted LiO4 trigonal pyramids that share  a cornercorner with one Cr(3)O6 octahedra,  a cornercorner with one Mn(2)O6 octahedra,  a cornercorner with one Mn(3)O6 octahedra, corners with three equivalent Fe(2)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra, and  an edgeedge with one Mn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 61-64°. In the third Li site, Li(3) is bonded to one O(1), one O(10), one O(4), and one O(6) atom to form distorted LiO4 trigonal pyramids that share  a cornercorner with one Cr(1)O6 octahedra,  a cornercorner with one Cr(2)O6 octahedra,  a cornercorner with one Mn(1)O6 octahedra, corners with three equivalent Fe(1)O6 octahedra,  an edgeedge with one Cr(3)O6 octahedra,  an edgeedge with one Mn(2)O6 octahedra, and  an edgeedge with one Mn(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 60-64°. In the fourth Li site, Li(4) is bonded to one O(13), one O(2), one O(7), and one O(8) atom to form LiO4 tetrahedra that share  a cornercorner with one Cr(3)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, corners with two equivalent Cr(2)O6 octahedra, corners with two equivalent Mn(1)O6 octahedra, and corners with three equivalent Fe(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 57-63°. There are three inequivalent Cr sites. In the first Cr site, Cr(1) is bonded to one O(14), one O(2), one O(3), one O(4), one O(7), and one O(9) atom to form CrO6 octahedra that share corners with two equivalent Fe(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  a cornercorner with one Li(3)O4 trigonal pyramid,  an edgeedge with one Fe(1)O6 octahedra, edges with two equivalent Cr(2)O6 octahedra, edges with two equivalent Mn(1)O6 octahedra, and  an edgeedge with one Li(2)O4 trigonal pyramid. The corner-sharing octahedral tilt angles range from 50-51°. In the second Cr site, Cr(2) is bonded to one O(16), one O(2), one O(3), one O(4), one O(8), and one O(9) atom to form CrO6 octahedra that share corners with two equivalent Fe(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  a cornercorner with one Li(3)O4 trigonal pyramid,  an edgeedge with one Fe(1)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, edges with two equivalent Mn(1)O6 octahedra, and  an edgeedge with one Li(2)O4 trigonal pyramid. The corner-sharing octahedral tilt angles range from 52-54°. In the third Cr site, Cr(3) is bonded to one O(1), one O(11), one O(12), one O(13), one O(5), and one O(6) atom to form CrO6 octahedra that share corners with two equivalent Fe(1)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  a cornercorner with one Li(2)O4 trigonal pyramid,  an edgeedge with one Fe(2)O6 octahedra, edges with two equivalent Mn(2)O6 octahedra, edges with two equivalent Mn(3)O6 octahedra, and  an edgeedge with one Li(3)O4 trigonal pyramid. The corner-sharing octahedral tilt angles are 53°. There are three inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to one O(14), one O(16), one O(3), one O(4), one O(7), and one O(8) atom to form MnO6 octahedra that share corners with two equivalent Fe(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  a cornercorner with one Li(3)O4 trigonal pyramid,  an edgeedge with one Fe(1)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, edges with two equivalent Cr(2)O6 octahedra, and  an edgeedge with one Li(2)O4 trigonal pyramid. The corner-sharing octahedral tilt angles range from 51-53°. In the second Mn site, Mn(2) is bonded to one O(1), one O(10), one O(11), one O(13), one O(15), and one O(5) atom to form MnO6 octahedra that share corners with two equivalent Fe(1)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  a cornercorner with one Li(2)O4 trigonal pyramid,  an edgeedge with one Fe(2)O6 octahedra, edges with two equivalent Cr(3)O6 octahedra, edges with two equivalent Mn(3)O6 octahedra, and  an edgeedge with one Li(3)O4 trigonal pyramid. The corner-sharing octahedral tilt angles range from 51-52°. In the third Mn site, Mn(3) is bonded to one O(10), one O(12), one O(13), one O(15), one O(5), and one O(6) atom to form MnO6 octahedra that share corners with two equivalent Fe(1)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  a cornercorner with one Li(2)O4 trigonal pyramid,  an edgeedge with one Fe(2)O6 octahedra, edges with two equivalent Cr(3)O6 octahedra, edges with two equivalent Mn(2)O6 octahedra, and  an edgeedge with one Li(3)O4 trigonal pyramid. The corner-sharing octahedral tilt angles are 51°. There are two inequivalent Fe sites. In the first Fe site, Fe(1) is bonded to one O(1), one O(10), one O(2), one O(6), one O(7), and one O(8) atom to form FeO6 octahedra that share corners with two equivalent Cr(3)O6 octahedra, corners with two equivalent Mn(2)O6 octahedra, corners with two equivalent Mn(3)O6 octahedra, corners with three equivalent Li(4)O4 tetrahedra, corners with three equivalent Li(3)O4 trigonal pyramids,  an edgeedge with one Cr(1)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra, and  an edgeedge with one Mn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 51-53°. In the second Fe site, Fe(2) is bonded to one O(11), one O(12), one O(14), one O(15), one O(16), and one O(9) atom to form FeO6 octahedra that share corners with two equivalent Cr(1)O6 octahedra, corners with two equivalent Cr(2)O6 octahedra, corners with two equivalent Mn(1)O6 octahedra, corners with three equivalent Li(1)O4 tetrahedra, corners with three equivalent Li(2)O4 trigonal pyramids,  an edgeedge with one Cr(3)O6 octahedra,  an edgeedge with one Mn(2)O6 octahedra, and  an edgeedge with one Mn(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 50-54°. There are sixteen inequivalent O sites. In the first O site, O(1) is bonded in a rectangular see-saw-like geometry to one Li(3), one Cr(3), one Mn(2), and one Fe(1) atom. In the second O site, O(2) is bonded to one Li(4), one Cr(1), one Cr(2), and one Fe(1) atom to form distorted OLiCr2Fe tetrahedra that share  a cornercorner with one O(7)LiMnCrFe tetrahedra,  a cornercorner with one O(8)LiMnCrFe tetrahedra, corners with two equivalent O(4)LiMnCr2 tetrahedra,  an edgeedge with one O(7)LiMnCrFe tetrahedra, and  an edgeedge with one O(8)LiMnCrFe tetrahedra. In the third O site, O(3) is bonded in a rectangular see-saw-like geometry to one Li(1), one Cr(1), one Cr(2), and one Mn(1) atom. In the fourth O site, O(4) is bonded to one Li(3), one Cr(1), one Cr(2), and one Mn(1) atom to form distorted OLiMnCr2 tetrahedra that share corners with two equivalent O(2)LiCr2Fe tetrahedra, corners with two equivalent O(7)LiMnCrFe tetrahedra, and corners with two equivalent O(8)LiMnCrFe tetrahedra. In the fifth O site, O(5) is bonded to one Li(2), one Cr(3), one Mn(2), and one Mn(3) atom to form distorted OLiMn2Cr tetrahedra that share corners with two equivalent O(15)LiMn2Fe tetrahedra, corners with two equivalent O(11)LiMnCrFe tetrahedra, and corners with two equivalent O(12)LiMnCrFe tetrahedra. In the sixth O site, O(6) is bonded in a rectangular see-saw-like geometry to one Li(3), one Cr(3), one Mn(3), and one Fe(1) atom. In the seventh O site, O(7) is bonded to one Li(4), one Cr(1), one Mn(1), and one Fe(1) atom to form distorted OLiMnCrFe tetrahedra that share  a cornercorner with one O(2)LiCr2Fe tetrahedra,  a cornercorner with one O(8)LiMnCrFe tetrahedra, corners with two equivalent O(4)LiMnCr2 tetrahedra,  an edgeedge with one O(2)LiCr2Fe tetrahedra, and  an edgeedge with one O(8)LiMnCrFe tetrahedra. In the eighth O site, O(8) is bonded to one Li(4), one Cr(2), one Mn(1), and one Fe(1) atom to form distorted OLiMnCrFe tetrahedra that share  a cornercorner with one O(2)LiCr2Fe tetrahedra,  a cornercorner with one O(7)LiMnCrFe tetrahedra, corners with two equivalent O(4)LiMnCr2 tetrahedra,  an edgeedge with one O(2)LiCr2Fe tetrahedra, and  an edgeedge with one O(7)LiMnCrFe tetrahedra. In the ninth O site, O(9) is bonded in a rectangular see-saw-like geometry to one Li(2), one Cr(1), one Cr(2), and one Fe(2) atom. In the tenth O site, O(10) is bonded in a rectangular see-saw-like geometry to one Li(3), one Mn(2), one Mn(3), and one Fe(1) atom. In the eleventh O site, O(11) is bonded to one Li(1), one Cr(3), one Mn(2), and one Fe(2) atom to form distorted OLiMnCrFe tetrahedra that share  a cornercorner with one O(15)LiMn2Fe tetrahedra,  a cornercorner with one O(12)LiMnCrFe tetrahedra, corners with two equivalent O(5)LiMn2Cr tetrahedra,  an edgeedge with one O(15)LiMn2Fe tetrahedra, and  an edgeedge with one O(12)LiMnCrFe tetrahedra. In the twelfth O site, O(12) is bonded to one Li(1), one Cr(3), one Mn(3), and one Fe(2) atom to form distorted OLiMnCrFe tetrahedra that share  a cornercorner with one O(15)LiMn2Fe tetrahedra,  a cornercorner with one O(11)LiMnCrFe tetrahedra, corners with two equivalent O(5)LiMn2Cr tetrahedra,  an edgeedge with one O(15)LiMn2Fe tetrahedra, and  an edgeedge with one O(11)LiMnCrFe tetrahedra. In the thirteenth O site, O(13) is bonded in a rectangular see-saw-like geometry to one Li(4), one Cr(3), one Mn(2), and one Mn(3) atom. In the fourteenth O site, O(14) is bonded in a rectangular see-saw-like geometry to one Li(2), one Cr(1), one Mn(1), and one Fe(2) atom. In the fifteenth O site, O(15) is bonded to one Li(1), one Mn(2), one Mn(3), and one Fe(2) atom to form distorted OLiMn2Fe tetrahedra that share  a cornercorner with one O(11)LiMnCrFe tetrahedra,  a cornercorner with one O(12)LiMnCrFe tetrahedra, corners with two equivalent O(5)LiMn2Cr tetrahedra,  an edgeedge with one O(11)LiMnCrFe tetrahedra, and  an edgeedge with one O(12)LiMnCrFe tetrahedra. In the sixteenth O site, O(16) is bonded in a rectangular see-saw-like geometry to one Li(2), one Cr(2), one Mn(1), and one Fe(2) atom. is represented by the CIF file [CIF]
data_Li4Mn3Cr3(FeO8)2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.862
_cell_length_b   5.867
_cell_length_c   9.513
_cell_angle_alpha   90.220
_cell_angle_beta   90.291
_cell_angle_gamma   119.946
_symmetry_Int_Tables_number   1
_cell_volume   283.459
_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  0.670  0.342  0.107  1.0
  Li  Li1  1  0.998  0.994  0.003  1.0
  Li  Li2  1  0.998  0.998  0.504  1.0
  Li  Li3  1  0.338  0.671  0.607  1.0
  Mn  Mn4  1  0.832  0.660  0.784  1.0
  Mn  Mn5  1  0.661  0.831  0.285  1.0
  Mn  Mn6  1  0.169  0.831  0.285  1.0
  Cr  Cr7  1  0.831  0.166  0.788  1.0
  Cr  Cr8  1  0.339  0.169  0.786  1.0
  Cr  Cr9  1  0.169  0.339  0.286  1.0
  Fe  Fe10  1  0.662  0.325  0.509  1.0
  Fe  Fe11  1  0.326  0.663  0.010  1.0
  O  O12  1  0.832  0.155  0.400  1.0
  O  O13  1  0.529  0.039  0.665  1.0
  O  O14  1  0.675  0.345  0.894  1.0
  O  O15  1  0.993  0.989  0.689  1.0
  O  O16  1  0.994  0.991  0.190  1.0
  O  O17  1  0.323  0.154  0.400  1.0
  O  O18  1  0.964  0.481  0.666  1.0
  O  O19  1  0.527  0.487  0.661  1.0
  O  O20  1  0.151  0.323  0.899  1.0
  O  O21  1  0.839  0.676  0.396  1.0
  O  O22  1  0.488  0.528  0.162  1.0
  O  O23  1  0.038  0.528  0.163  1.0
  O  O24  1  0.340  0.679  0.391  1.0
  O  O25  1  0.675  0.840  0.895  1.0
  O  O26  1  0.482  0.966  0.166  1.0
  O  O27  1  0.158  0.831  0.900  1.0
[/CIF]
.