The crystal structure described by Li4Cr2Mn3Sb3O16 is Spinel-derived structured and crystallizes in the monoclinic Cm space group. There are four inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(12), one O(3), and two equivalent O(9) atoms to form LiO4 trigonal pyramids that share  a cornercorner with one Mn(1)O6 octahedra, corners with two equivalent Sb(1)O6 octahedra, corners with two equivalent Sb(2)O6 octahedra, corners with three equivalent Cr(2)O6 octahedra, and corners with four equivalent Mn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 46-67°. In the second Li site, Li(2) is bonded in a distorted rectangular see-saw-like geometry to one O(5), one O(7), and two equivalent O(11) atoms. In the third Li site, Li(3) is bonded to one O(4), one O(8), and two equivalent O(1) atoms to form distorted LiO4 tetrahedra that share  a cornercorner with one Mn(1)O6 octahedra, corners with two equivalent Sb(1)O6 octahedra, corners with three equivalent Cr(1)O6 octahedra,  an edgeedge with one Sb(2)O6 octahedra, and edges with two equivalent Mn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 56-70°. In the fourth Li site, Li(4) is bonded to one O(10), one O(2), and two equivalent O(6) atoms to form LiO4 tetrahedra that share  a cornercorner with one Sb(2)O6 octahedra, corners with two equivalent Mn(1)O6 octahedra, corners with two equivalent Mn(2)O6 octahedra, corners with three equivalent Cr(1)O6 octahedra, and corners with four equivalent Sb(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 56-64°. There are two inequivalent Cr sites. In the first Cr site, Cr(1) is bonded to one O(2), one O(8), two equivalent O(1), and two equivalent O(6) atoms to form distorted CrO6 octahedra that share corners with two equivalent Sb(2)O6 octahedra, corners with four equivalent Mn(2)O6 octahedra, corners with three equivalent Li(3)O4 tetrahedra, corners with three equivalent Li(4)O4 tetrahedra,  an edgeedge with one Mn(1)O6 octahedra, and edges with two equivalent Sb(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 50-53°. In the second Cr site, Cr(2) is bonded to one O(12), one O(7), two equivalent O(11), and two equivalent O(9) atoms to form CrO6 octahedra that share corners with two equivalent Mn(1)O6 octahedra, corners with four equivalent Sb(1)O6 octahedra, corners with three equivalent Li(1)O4 trigonal pyramids,  an edgeedge with one Sb(2)O6 octahedra, and edges with two equivalent Mn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 50-54°. There are two inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to one O(3), one O(4), two equivalent O(11), and two equivalent O(6) atoms to form MnO6 octahedra that share corners with two equivalent Cr(2)O6 octahedra,  a cornercorner with one Li(3)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  a cornercorner with one Li(1)O4 trigonal pyramid,  an edgeedge with one Cr(1)O6 octahedra, and edges with four equivalent Sb(1)O6 octahedra. The corner-sharing octahedral tilt angles are 54°. In the second Mn site, Mn(2) is bonded to one O(1), one O(10), one O(12), one O(5), one O(8), and one O(9) atom to form distorted MnO6 octahedra that share corners with two equivalent Cr(1)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 trigonal pyramids,  an edgeedge with one Cr(2)O6 octahedra, edges with two equivalent Mn(2)O6 octahedra, edges with two equivalent Sb(2)O6 octahedra, and  an edgeedge with one Li(3)O4 tetrahedra. The corner-sharing octahedral tilt angles are 53°. There are two inequivalent Sb sites. In the first Sb site, Sb(1) is bonded to one O(11), one O(2), one O(3), one O(4), one O(6), and one O(7) atom to form SbO6 octahedra that share corners with two equivalent Cr(2)O6 octahedra,  a cornercorner with one Li(3)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  a cornercorner with one Li(1)O4 trigonal pyramid,  an edgeedge with one Cr(1)O6 octahedra, edges with two equivalent Mn(1)O6 octahedra, and edges with two equivalent Sb(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 50-52°. In the second Sb site, Sb(2) is bonded to one O(10), one O(5), two equivalent O(1), and two equivalent O(9) atoms to form SbO6 octahedra that share corners with two equivalent Cr(1)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 trigonal pyramids,  an edgeedge with one Cr(2)O6 octahedra, edges with four equivalent Mn(2)O6 octahedra, and  an edgeedge with one Li(3)O4 tetrahedra. The corner-sharing octahedral tilt angles are 50°. There are twelve inequivalent O sites. In the first O site, O(1) is bonded in a distorted rectangular see-saw-like geometry to one Li(3), one Cr(1), one Mn(2), and one Sb(2) atom. In the second O site, O(2) is bonded to one Li(4), one Cr(1), and two equivalent Sb(1) atoms to form distorted OLiCrSb2 trigonal pyramids that share corners with two equivalent O(6)LiMnCrSb tetrahedra, corners with two equivalent O(4)LiMnSb2 tetrahedra, and edges with two equivalent O(6)LiMnCrSb tetrahedra. In the third O site, O(3) is bonded in a rectangular see-saw-like geometry to one Li(1), one Mn(1), and two equivalent Sb(1) atoms. In the fourth O site, O(4) is bonded to one Li(3), one Mn(1), and two equivalent Sb(1) atoms to form distorted OLiMnSb2 tetrahedra that share corners with four equivalent O(6)LiMnCrSb tetrahedra and corners with two equivalent O(2)LiCrSb2 trigonal pyramids. In the fifth O site, O(5) is bonded to one Li(2), two equivalent Mn(2), and one Sb(2) atom to form corner-sharing OLiMn2Sb tetrahedra. In the sixth O site, O(6) is bonded to one Li(4), one Cr(1), one Mn(1), and one Sb(1) atom to form distorted OLiMnCrSb tetrahedra that share  a cornercorner with one O(6)LiMnCrSb tetrahedra, corners with two equivalent O(4)LiMnSb2 tetrahedra,  a cornercorner with one O(2)LiCrSb2 trigonal pyramid,  an edgeedge with one O(6)LiMnCrSb tetrahedra, and  an edgeedge with one O(2)LiCrSb2 trigonal pyramid. In the seventh O site, O(7) is bonded in a distorted rectangular see-saw-like geometry to one Li(2), one Cr(2), and two equivalent Sb(1) atoms. In the eighth O site, O(8) is bonded in a distorted rectangular see-saw-like geometry to one Li(3), one Cr(1), and two equivalent Mn(2) atoms. In the ninth O site, O(9) is bonded in a rectangular see-saw-like geometry to one Li(1), one Cr(2), one Mn(2), and one Sb(2) atom. In the tenth O site, O(10) is bonded in a distorted rectangular see-saw-like geometry to one Li(4), two equivalent Mn(2), and one Sb(2) atom. In the eleventh O site, O(11) is bonded in a rectangular see-saw-like geometry to one Li(2), one Cr(2), one Mn(1), and one Sb(1) atom. In the twelfth O site, O(12) is bonded to one Li(1), one Cr(2), and two equivalent Mn(2) atoms to form corner-sharing OLiMn2Cr tetrahedra. is represented by the CIF card [CIF]
data_Li4Mn3Cr2Sb3O16
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.248
_cell_length_b   6.248
_cell_length_c   9.744
_cell_angle_alpha   87.384
_cell_angle_beta   87.384
_cell_angle_gamma   58.719
_symmetry_Int_Tables_number   1
_cell_volume   324.651
_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  0.660  0.660  0.117  1.0
  Li  Li1  1  0.987  0.987  0.016  1.0
  Li  Li2  1  0.994  0.994  0.496  1.0
  Li  Li3  1  0.322  0.322  0.597  1.0
  Mn  Mn4  1  0.832  0.832  0.787  1.0
  Mn  Mn5  1  0.173  0.661  0.290  1.0
  Mn  Mn6  1  0.661  0.173  0.290  1.0
  Cr  Cr7  1  0.677  0.677  0.506  1.0
  Cr  Cr8  1  0.347  0.347  0.025  1.0
  Sb  Sb9  1  0.337  0.831  0.785  1.0
  Sb  Sb10  1  0.831  0.337  0.785  1.0
  Sb  Sb11  1  0.172  0.172  0.285  1.0
  O  O12  1  0.339  0.851  0.402  1.0
  O  O13  1  0.518  0.518  0.664  1.0
  O  O14  1  0.654  0.654  0.899  1.0
  O  O15  1  0.010  0.010  0.683  1.0
  O  O16  1  0.008  0.008  0.198  1.0
  O  O17  1  0.851  0.339  0.402  1.0
  O  O18  1  0.504  0.958  0.657  1.0
  O  O19  1  0.958  0.504  0.657  1.0
  O  O20  1  0.156  0.156  0.894  1.0
  O  O21  1  0.838  0.838  0.404  1.0
  O  O22  1  0.040  0.469  0.149  1.0
  O  O23  1  0.469  0.040  0.149  1.0
  O  O24  1  0.325  0.325  0.395  1.0
  O  O25  1  0.178  0.681  0.903  1.0
  O  O26  1  0.476  0.476  0.156  1.0
  O  O27  1  0.681  0.178  0.903  1.0
[/CIF]
.
The crystal structure described by Li4Cr2Mn3Sb3O16 is Spinel-derived structured and crystallizes in the monoclinic Cm space group. There are four inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(12), one O(3), and two equivalent O(9) atoms to form LiO4 trigonal pyramids that share  a cornercorner with one Mn(1)O6 octahedra, corners with two equivalent Sb(1)O6 octahedra, corners with two equivalent Sb(2)O6 octahedra, corners with three equivalent Cr(2)O6 octahedra, and corners with four equivalent Mn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 46-67°. In the second Li site, Li(2) is bonded in a distorted rectangular see-saw-like geometry to one O(5), one O(7), and two equivalent O(11) atoms. In the third Li site, Li(3) is bonded to one O(4), one O(8), and two equivalent O(1) atoms to form distorted LiO4 tetrahedra that share  a cornercorner with one Mn(1)O6 octahedra, corners with two equivalent Sb(1)O6 octahedra, corners with three equivalent Cr(1)O6 octahedra,  an edgeedge with one Sb(2)O6 octahedra, and edges with two equivalent Mn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 56-70°. In the fourth Li site, Li(4) is bonded to one O(10), one O(2), and two equivalent O(6) atoms to form LiO4 tetrahedra that share  a cornercorner with one Sb(2)O6 octahedra, corners with two equivalent Mn(1)O6 octahedra, corners with two equivalent Mn(2)O6 octahedra, corners with three equivalent Cr(1)O6 octahedra, and corners with four equivalent Sb(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 56-64°. There are two inequivalent Cr sites. In the first Cr site, Cr(1) is bonded to one O(2), one O(8), two equivalent O(1), and two equivalent O(6) atoms to form distorted CrO6 octahedra that share corners with two equivalent Sb(2)O6 octahedra, corners with four equivalent Mn(2)O6 octahedra, corners with three equivalent Li(3)O4 tetrahedra, corners with three equivalent Li(4)O4 tetrahedra,  an edgeedge with one Mn(1)O6 octahedra, and edges with two equivalent Sb(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 50-53°. In the second Cr site, Cr(2) is bonded to one O(12), one O(7), two equivalent O(11), and two equivalent O(9) atoms to form CrO6 octahedra that share corners with two equivalent Mn(1)O6 octahedra, corners with four equivalent Sb(1)O6 octahedra, corners with three equivalent Li(1)O4 trigonal pyramids,  an edgeedge with one Sb(2)O6 octahedra, and edges with two equivalent Mn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 50-54°. There are two inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to one O(3), one O(4), two equivalent O(11), and two equivalent O(6) atoms to form MnO6 octahedra that share corners with two equivalent Cr(2)O6 octahedra,  a cornercorner with one Li(3)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  a cornercorner with one Li(1)O4 trigonal pyramid,  an edgeedge with one Cr(1)O6 octahedra, and edges with four equivalent Sb(1)O6 octahedra. The corner-sharing octahedral tilt angles are 54°. In the second Mn site, Mn(2) is bonded to one O(1), one O(10), one O(12), one O(5), one O(8), and one O(9) atom to form distorted MnO6 octahedra that share corners with two equivalent Cr(1)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 trigonal pyramids,  an edgeedge with one Cr(2)O6 octahedra, edges with two equivalent Mn(2)O6 octahedra, edges with two equivalent Sb(2)O6 octahedra, and  an edgeedge with one Li(3)O4 tetrahedra. The corner-sharing octahedral tilt angles are 53°. There are two inequivalent Sb sites. In the first Sb site, Sb(1) is bonded to one O(11), one O(2), one O(3), one O(4), one O(6), and one O(7) atom to form SbO6 octahedra that share corners with two equivalent Cr(2)O6 octahedra,  a cornercorner with one Li(3)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  a cornercorner with one Li(1)O4 trigonal pyramid,  an edgeedge with one Cr(1)O6 octahedra, edges with two equivalent Mn(1)O6 octahedra, and edges with two equivalent Sb(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 50-52°. In the second Sb site, Sb(2) is bonded to one O(10), one O(5), two equivalent O(1), and two equivalent O(9) atoms to form SbO6 octahedra that share corners with two equivalent Cr(1)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 trigonal pyramids,  an edgeedge with one Cr(2)O6 octahedra, edges with four equivalent Mn(2)O6 octahedra, and  an edgeedge with one Li(3)O4 tetrahedra. The corner-sharing octahedral tilt angles are 50°. There are twelve inequivalent O sites. In the first O site, O(1) is bonded in a distorted rectangular see-saw-like geometry to one Li(3), one Cr(1), one Mn(2), and one Sb(2) atom. In the second O site, O(2) is bonded to one Li(4), one Cr(1), and two equivalent Sb(1) atoms to form distorted OLiCrSb2 trigonal pyramids that share corners with two equivalent O(6)LiMnCrSb tetrahedra, corners with two equivalent O(4)LiMnSb2 tetrahedra, and edges with two equivalent O(6)LiMnCrSb tetrahedra. In the third O site, O(3) is bonded in a rectangular see-saw-like geometry to one Li(1), one Mn(1), and two equivalent Sb(1) atoms. In the fourth O site, O(4) is bonded to one Li(3), one Mn(1), and two equivalent Sb(1) atoms to form distorted OLiMnSb2 tetrahedra that share corners with four equivalent O(6)LiMnCrSb tetrahedra and corners with two equivalent O(2)LiCrSb2 trigonal pyramids. In the fifth O site, O(5) is bonded to one Li(2), two equivalent Mn(2), and one Sb(2) atom to form corner-sharing OLiMn2Sb tetrahedra. In the sixth O site, O(6) is bonded to one Li(4), one Cr(1), one Mn(1), and one Sb(1) atom to form distorted OLiMnCrSb tetrahedra that share  a cornercorner with one O(6)LiMnCrSb tetrahedra, corners with two equivalent O(4)LiMnSb2 tetrahedra,  a cornercorner with one O(2)LiCrSb2 trigonal pyramid,  an edgeedge with one O(6)LiMnCrSb tetrahedra, and  an edgeedge with one O(2)LiCrSb2 trigonal pyramid. In the seventh O site, O(7) is bonded in a distorted rectangular see-saw-like geometry to one Li(2), one Cr(2), and two equivalent Sb(1) atoms. In the eighth O site, O(8) is bonded in a distorted rectangular see-saw-like geometry to one Li(3), one Cr(1), and two equivalent Mn(2) atoms. In the ninth O site, O(9) is bonded in a rectangular see-saw-like geometry to one Li(1), one Cr(2), one Mn(2), and one Sb(2) atom. In the tenth O site, O(10) is bonded in a distorted rectangular see-saw-like geometry to one Li(4), two equivalent Mn(2), and one Sb(2) atom. In the eleventh O site, O(11) is bonded in a rectangular see-saw-like geometry to one Li(2), one Cr(2), one Mn(1), and one Sb(1) atom. In the twelfth O site, O(12) is bonded to one Li(1), one Cr(2), and two equivalent Mn(2) atoms to form corner-sharing OLiMn2Cr tetrahedra. is represented by the CIF card [CIF]
data_Li4Mn3Cr2Sb3O16
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.248
_cell_length_b   6.248
_cell_length_c   9.744
_cell_angle_alpha   87.384
_cell_angle_beta   87.384
_cell_angle_gamma   58.719
_symmetry_Int_Tables_number   1
_cell_volume   324.651
_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  0.660  0.660  0.117  1.0
  Li  Li1  1  0.987  0.987  0.016  1.0
  Li  Li2  1  0.994  0.994  0.496  1.0
  Li  Li3  1  0.322  0.322  0.597  1.0
  Mn  Mn4  1  0.832  0.832  0.787  1.0
  Mn  Mn5  1  0.173  0.661  0.290  1.0
  Mn  Mn6  1  0.661  0.173  0.290  1.0
  Cr  Cr7  1  0.677  0.677  0.506  1.0
  Cr  Cr8  1  0.347  0.347  0.025  1.0
  Sb  Sb9  1  0.337  0.831  0.785  1.0
  Sb  Sb10  1  0.831  0.337  0.785  1.0
  Sb  Sb11  1  0.172  0.172  0.285  1.0
  O  O12  1  0.339  0.851  0.402  1.0
  O  O13  1  0.518  0.518  0.664  1.0
  O  O14  1  0.654  0.654  0.899  1.0
  O  O15  1  0.010  0.010  0.683  1.0
  O  O16  1  0.008  0.008  0.198  1.0
  O  O17  1  0.851  0.339  0.402  1.0
  O  O18  1  0.504  0.958  0.657  1.0
  O  O19  1  0.958  0.504  0.657  1.0
  O  O20  1  0.156  0.156  0.894  1.0
  O  O21  1  0.838  0.838  0.404  1.0
  O  O22  1  0.040  0.469  0.149  1.0
  O  O23  1  0.469  0.040  0.149  1.0
  O  O24  1  0.325  0.325  0.395  1.0
  O  O25  1  0.178  0.681  0.903  1.0
  O  O26  1  0.476  0.476  0.156  1.0
  O  O27  1  0.681  0.178  0.903  1.0
[/CIF]
.