The material described by Li4Mn3Fe2Sb3O16 is Hausmannite-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 tetrahedra 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 Fe(2)O6 octahedra, and corners with four equivalent Mn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 53-64°. 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 LiO4 tetrahedra that share  a cornercorner with one Mn(1)O6 octahedra, corners with two equivalent Sb(1)O6 octahedra, corners with three equivalent Fe(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 53-67°. 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 Fe(1)O6 octahedra, and corners with four equivalent Sb(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 58-66°. 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 Fe(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra,  a cornercorner with one Li(3)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one Fe(1)O6 octahedra, and edges with four equivalent Sb(1)O6 octahedra. The corner-sharing octahedral tilt angles are 58°. 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 Fe(1)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  an edgeedge with one Fe(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 range from 54-55°. There are two inequivalent Fe sites. In the first Fe site, Fe(1) is bonded to one O(2), one O(8), two equivalent O(1), and two equivalent O(6) atoms to form distorted FeO6 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 51-55°. In the second Fe site, Fe(2) is bonded to one O(12), one O(7), two equivalent O(11), and two equivalent O(9) atoms to form FeO6 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 tetrahedra,  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 49-58°. 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 Fe(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra,  a cornercorner with one Li(3)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one Fe(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 49-52°. 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 Fe(1)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  an edgeedge with one Fe(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 51°. 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 Mn(2), one Fe(1), and one Sb(2) atom. In the second O site, O(2) is bonded to one Li(4), one Fe(1), and two equivalent Sb(1) atoms to form distorted OLiFeSb2 trigonal pyramids that share corners with two equivalent O(6)LiMnFeSb tetrahedra, corners with two equivalent O(4)LiMnSb2 tetrahedra,  a cornercorner with one O(10)LiMn2Sb trigonal pyramid, and edges with two equivalent O(6)LiMnFeSb 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)LiMnFeSb tetrahedra and corners with two equivalent O(2)LiFeSb2 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 OLiMn2Sb tetrahedra that share corners with two equivalent O(12)LiMn2Fe tetrahedra and corners with three equivalent O(10)LiMn2Sb trigonal pyramids. In the sixth O site, O(6) is bonded to one Li(4), one Mn(1), one Fe(1), and one Sb(1) atom to form distorted OLiMnFeSb tetrahedra that share  a cornercorner with one O(6)LiMnFeSb tetrahedra, corners with two equivalent O(4)LiMnSb2 tetrahedra,  a cornercorner with one O(2)LiFeSb2 trigonal pyramid,  a cornercorner with one O(10)LiMn2Sb trigonal pyramid,  an edgeedge with one O(6)LiMnFeSb tetrahedra, and  an edgeedge with one O(2)LiFeSb2 trigonal pyramid. In the seventh O site, O(7) is bonded in a rectangular see-saw-like geometry to one Li(2), one Fe(2), and two equivalent Sb(1) atoms. In the eighth O site, O(8) is bonded in a rectangular see-saw-like geometry to one Li(3), two equivalent Mn(2), and one Fe(1) atom. In the ninth O site, O(9) is bonded in a rectangular see-saw-like geometry to one Li(1), one Mn(2), one Fe(2), and one Sb(2) atom. In the tenth O site, O(10) is bonded to one Li(4), two equivalent Mn(2), and one Sb(2) atom to form distorted OLiMn2Sb trigonal pyramids that share corners with two equivalent O(6)LiMnFeSb tetrahedra, corners with three equivalent O(5)LiMn2Sb tetrahedra,  a cornercorner with one O(2)LiFeSb2 trigonal pyramid, and  an edgeedge with one O(12)LiMn2Fe tetrahedra. In the eleventh O site, O(11) is bonded in a rectangular see-saw-like geometry to one Li(2), one Mn(1), one Fe(2), and one Sb(1) atom. In the twelfth O site, O(12) is bonded to one Li(1), two equivalent Mn(2), and one Fe(2) atom to form a mixture of distorted edge and corner-sharing OLiMn2Fe tetrahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_Li4Mn3Fe2Sb3O16
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.264
_cell_length_b   6.264
_cell_length_c   9.834
_cell_angle_alpha   87.900
_cell_angle_beta   87.900
_cell_angle_gamma   57.824
_symmetry_Int_Tables_number   1
_cell_volume   326.299
_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  0.661  0.661  0.119  1.0
  Li  Li1  1  0.988  0.988  0.011  1.0
  Li  Li2  1  0.000  0.000  0.496  1.0
  Li  Li3  1  0.324  0.324  0.601  1.0
  Mn  Mn4  1  0.831  0.831  0.786  1.0
  Mn  Mn5  1  0.168  0.659  0.287  1.0
  Mn  Mn6  1  0.659  0.168  0.287  1.0
  Fe  Fe7  1  0.677  0.677  0.498  1.0
  Fe  Fe8  1  0.343  0.343  0.015  1.0
  Sb  Sb9  1  0.336  0.832  0.782  1.0
  Sb  Sb10  1  0.832  0.336  0.782  1.0
  Sb  Sb11  1  0.172  0.172  0.283  1.0
  O  O12  1  0.335  0.855  0.406  1.0
  O  O13  1  0.517  0.517  0.661  1.0
  O  O14  1  0.654  0.654  0.898  1.0
  O  O15  1  0.010  0.010  0.679  1.0
  O  O16  1  0.005  0.005  0.196  1.0
  O  O17  1  0.855  0.335  0.406  1.0
  O  O18  1  0.501  0.957  0.656  1.0
  O  O19  1  0.957  0.501  0.656  1.0
  O  O20  1  0.156  0.156  0.893  1.0
  O  O21  1  0.843  0.843  0.402  1.0
  O  O22  1  0.026  0.477  0.162  1.0
  O  O23  1  0.477  0.026  0.162  1.0
  O  O24  1  0.330  0.330  0.394  1.0
  O  O25  1  0.177  0.688  0.899  1.0
  O  O26  1  0.478  0.478  0.177  1.0
  O  O27  1  0.688  0.177  0.899  1.0
[/CIF]
.
The material described by Li4Mn3Fe2Sb3O16 is Hausmannite-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 tetrahedra 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 Fe(2)O6 octahedra, and corners with four equivalent Mn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 53-64°. 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 LiO4 tetrahedra that share  a cornercorner with one Mn(1)O6 octahedra, corners with two equivalent Sb(1)O6 octahedra, corners with three equivalent Fe(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 53-67°. 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 Fe(1)O6 octahedra, and corners with four equivalent Sb(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 58-66°. 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 Fe(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra,  a cornercorner with one Li(3)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one Fe(1)O6 octahedra, and edges with four equivalent Sb(1)O6 octahedra. The corner-sharing octahedral tilt angles are 58°. 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 Fe(1)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  an edgeedge with one Fe(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 range from 54-55°. There are two inequivalent Fe sites. In the first Fe site, Fe(1) is bonded to one O(2), one O(8), two equivalent O(1), and two equivalent O(6) atoms to form distorted FeO6 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 51-55°. In the second Fe site, Fe(2) is bonded to one O(12), one O(7), two equivalent O(11), and two equivalent O(9) atoms to form FeO6 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 tetrahedra,  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 49-58°. 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 Fe(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra,  a cornercorner with one Li(3)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one Fe(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 49-52°. 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 Fe(1)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  an edgeedge with one Fe(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 51°. 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 Mn(2), one Fe(1), and one Sb(2) atom. In the second O site, O(2) is bonded to one Li(4), one Fe(1), and two equivalent Sb(1) atoms to form distorted OLiFeSb2 trigonal pyramids that share corners with two equivalent O(6)LiMnFeSb tetrahedra, corners with two equivalent O(4)LiMnSb2 tetrahedra,  a cornercorner with one O(10)LiMn2Sb trigonal pyramid, and edges with two equivalent O(6)LiMnFeSb 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)LiMnFeSb tetrahedra and corners with two equivalent O(2)LiFeSb2 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 OLiMn2Sb tetrahedra that share corners with two equivalent O(12)LiMn2Fe tetrahedra and corners with three equivalent O(10)LiMn2Sb trigonal pyramids. In the sixth O site, O(6) is bonded to one Li(4), one Mn(1), one Fe(1), and one Sb(1) atom to form distorted OLiMnFeSb tetrahedra that share  a cornercorner with one O(6)LiMnFeSb tetrahedra, corners with two equivalent O(4)LiMnSb2 tetrahedra,  a cornercorner with one O(2)LiFeSb2 trigonal pyramid,  a cornercorner with one O(10)LiMn2Sb trigonal pyramid,  an edgeedge with one O(6)LiMnFeSb tetrahedra, and  an edgeedge with one O(2)LiFeSb2 trigonal pyramid. In the seventh O site, O(7) is bonded in a rectangular see-saw-like geometry to one Li(2), one Fe(2), and two equivalent Sb(1) atoms. In the eighth O site, O(8) is bonded in a rectangular see-saw-like geometry to one Li(3), two equivalent Mn(2), and one Fe(1) atom. In the ninth O site, O(9) is bonded in a rectangular see-saw-like geometry to one Li(1), one Mn(2), one Fe(2), and one Sb(2) atom. In the tenth O site, O(10) is bonded to one Li(4), two equivalent Mn(2), and one Sb(2) atom to form distorted OLiMn2Sb trigonal pyramids that share corners with two equivalent O(6)LiMnFeSb tetrahedra, corners with three equivalent O(5)LiMn2Sb tetrahedra,  a cornercorner with one O(2)LiFeSb2 trigonal pyramid, and  an edgeedge with one O(12)LiMn2Fe tetrahedra. In the eleventh O site, O(11) is bonded in a rectangular see-saw-like geometry to one Li(2), one Mn(1), one Fe(2), and one Sb(1) atom. In the twelfth O site, O(12) is bonded to one Li(1), two equivalent Mn(2), and one Fe(2) atom to form a mixture of distorted edge and corner-sharing OLiMn2Fe tetrahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_Li4Mn3Fe2Sb3O16
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.264
_cell_length_b   6.264
_cell_length_c   9.834
_cell_angle_alpha   87.900
_cell_angle_beta   87.900
_cell_angle_gamma   57.824
_symmetry_Int_Tables_number   1
_cell_volume   326.299
_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  0.661  0.661  0.119  1.0
  Li  Li1  1  0.988  0.988  0.011  1.0
  Li  Li2  1  0.000  0.000  0.496  1.0
  Li  Li3  1  0.324  0.324  0.601  1.0
  Mn  Mn4  1  0.831  0.831  0.786  1.0
  Mn  Mn5  1  0.168  0.659  0.287  1.0
  Mn  Mn6  1  0.659  0.168  0.287  1.0
  Fe  Fe7  1  0.677  0.677  0.498  1.0
  Fe  Fe8  1  0.343  0.343  0.015  1.0
  Sb  Sb9  1  0.336  0.832  0.782  1.0
  Sb  Sb10  1  0.832  0.336  0.782  1.0
  Sb  Sb11  1  0.172  0.172  0.283  1.0
  O  O12  1  0.335  0.855  0.406  1.0
  O  O13  1  0.517  0.517  0.661  1.0
  O  O14  1  0.654  0.654  0.898  1.0
  O  O15  1  0.010  0.010  0.679  1.0
  O  O16  1  0.005  0.005  0.196  1.0
  O  O17  1  0.855  0.335  0.406  1.0
  O  O18  1  0.501  0.957  0.656  1.0
  O  O19  1  0.957  0.501  0.656  1.0
  O  O20  1  0.156  0.156  0.893  1.0
  O  O21  1  0.843  0.843  0.402  1.0
  O  O22  1  0.026  0.477  0.162  1.0
  O  O23  1  0.477  0.026  0.162  1.0
  O  O24  1  0.330  0.330  0.394  1.0
  O  O25  1  0.177  0.688  0.899  1.0
  O  O26  1  0.478  0.478  0.177  1.0
  O  O27  1  0.688  0.177  0.899  1.0
[/CIF]
.