The material described by Li4Fe3Co2Sb3O16 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 Fe(1)O6 octahedra, corners with two equivalent Sb(1)O6 octahedra, corners with two equivalent Sb(2)O6 octahedra, corners with three equivalent Co(2)O6 octahedra, and corners with four equivalent Fe(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 53-63°. In the second Li site, Li(2) is bonded in a 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 in a distorted rectangular see-saw-like geometry to one O(4), one O(8), and two equivalent O(1) atoms. 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 Fe(1)O6 octahedra, corners with two equivalent Fe(2)O6 octahedra, and corners with four equivalent Sb(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 56-59°. There are two inequivalent Fe sites. In the first Fe site, Fe(1) is bonded to one O(3), one O(4), two equivalent O(11), and two equivalent O(6) atoms to form FeO6 octahedra that share corners with two equivalent Co(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra, and edges with four equivalent Sb(1)O6 octahedra. The corner-sharing octahedral tilt angles are 49°. In the second Fe site, Fe(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 FeO6 octahedra that share  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  an edgeedge with one Co(2)O6 octahedra, edges with two equivalent Fe(2)O6 octahedra, and edges with two equivalent Sb(2)O6 octahedra. There are two inequivalent Co sites. In the first Co site, Co(1) is bonded in a 6-coordinate geometry to one O(2), one O(8), two equivalent O(1), and two equivalent O(6) atoms. In the second Co site, Co(2) is bonded to one O(12), one O(7), two equivalent O(11), and two equivalent O(9) atoms to form CoO6 octahedra that share corners with two equivalent Fe(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 Fe(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 49-55°. 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 Co(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra, edges with two equivalent Fe(1)O6 octahedra, and edges with two equivalent Sb(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 53-55°. 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  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  an edgeedge with one Co(2)O6 octahedra, and edges with four equivalent Fe(2)O6 octahedra. There are twelve inequivalent O sites. In the first O site, O(1) is bonded in a rectangular see-saw-like geometry to one Li(3), one Fe(2), one Co(1), and one Sb(2) atom. In the second O site, O(2) is bonded in a 4-coordinate geometry to one Li(4), one Co(1), and two equivalent Sb(1) atoms. In the third O site, O(3) is bonded in a distorted rectangular see-saw-like geometry to one Li(1), one Fe(1), and two equivalent Sb(1) atoms. In the fourth O site, O(4) is bonded to one Li(3), one Fe(1), and two equivalent Sb(1) atoms to form distorted OLiFeSb2 tetrahedra that share corners with four equivalent O(6)LiFeCoSb tetrahedra,  a cornercorner with one O(8)LiFe2Co trigonal pyramid, and edges with two equivalent O(11)LiFeCoSb trigonal pyramids. In the fifth O site, O(5) is bonded to one Li(2), two equivalent Fe(2), and one Sb(2) atom to form distorted OLiFe2Sb tetrahedra that share corners with two equivalent O(12)LiFe2Co tetrahedra, corners with two equivalent O(11)LiFeCoSb trigonal pyramids, corners with three equivalent O(10)LiFe2Sb trigonal pyramids, and  an edgeedge with one O(8)LiFe2Co trigonal pyramid. In the sixth O site, O(6) is bonded to one Li(4), one Fe(1), one Co(1), and one Sb(1) atom to form distorted OLiFeCoSb tetrahedra that share  a cornercorner with one O(6)LiFeCoSb tetrahedra, corners with two equivalent O(4)LiFeSb2 tetrahedra,  a cornercorner with one O(8)LiFe2Co trigonal pyramid,  a cornercorner with one O(10)LiFe2Sb trigonal pyramid, corners with three equivalent O(11)LiFeCoSb trigonal pyramids, and  an edgeedge with one O(6)LiFeCoSb tetrahedra. In the seventh O site, O(7) is bonded in a rectangular see-saw-like geometry to one Li(2), one Co(2), and two equivalent Sb(1) atoms. In the eighth O site, O(8) is bonded to one Li(3), two equivalent Fe(2), and one Co(1) atom to form distorted OLiFe2Co trigonal pyramids that share  a cornercorner with one O(4)LiFeSb2 tetrahedra, corners with two equivalent O(12)LiFe2Co tetrahedra, corners with two equivalent O(6)LiFeCoSb tetrahedra, corners with two equivalent O(10)LiFe2Sb trigonal pyramids, and  an edgeedge with one O(5)LiFe2Sb tetrahedra. In the ninth O site, O(9) is bonded in a distorted rectangular see-saw-like geometry to one Li(1), one Fe(2), one Co(2), and one Sb(2) atom. In the tenth O site, O(10) is bonded to one Li(4), two equivalent Fe(2), and one Sb(2) atom to form distorted OLiFe2Sb trigonal pyramids that share corners with two equivalent O(6)LiFeCoSb tetrahedra, corners with three equivalent O(5)LiFe2Sb tetrahedra, corners with two equivalent O(8)LiFe2Co trigonal pyramids, and  an edgeedge with one O(12)LiFe2Co tetrahedra. In the eleventh O site, O(11) is bonded to one Li(2), one Fe(1), one Co(2), and one Sb(1) atom to form distorted OLiFeCoSb trigonal pyramids that share  a cornercorner with one O(12)LiFe2Co tetrahedra,  a cornercorner with one O(5)LiFe2Sb tetrahedra, corners with three equivalent O(6)LiFeCoSb tetrahedra,  a cornercorner with one O(11)LiFeCoSb trigonal pyramid,  an edgeedge with one O(4)LiFeSb2 tetrahedra, and  an edgeedge with one O(11)LiFeCoSb trigonal pyramid. In the twelfth O site, O(12) is bonded to one Li(1), two equivalent Fe(2), and one Co(2) atom to form distorted OLiFe2Co tetrahedra that share corners with two equivalent O(5)LiFe2Sb tetrahedra, corners with two equivalent O(8)LiFe2Co trigonal pyramids, corners with two equivalent O(11)LiFeCoSb trigonal pyramids, and  an edgeedge with one O(10)LiFe2Sb trigonal pyramid. is represented by the CIF file [CIF]
data_Li4Fe3Co2Sb3O16
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.992
_cell_length_b   5.992
_cell_length_c   9.823
_cell_angle_alpha   89.910
_cell_angle_beta   89.910
_cell_angle_gamma   60.689
_symmetry_Int_Tables_number   1
_cell_volume   307.526
_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  0.667  0.667  0.875  1.0
  Li  Li1  1  0.985  0.985  0.989  1.0
  Li  Li2  1  0.990  0.990  0.506  1.0
  Li  Li3  1  0.331  0.331  0.401  1.0
  Fe  Fe4  1  0.833  0.833  0.215  1.0
  Fe  Fe5  1  0.663  0.172  0.715  1.0
  Fe  Fe6  1  0.172  0.663  0.715  1.0
  Co  Co7  1  0.675  0.675  0.519  1.0
  Co  Co8  1  0.343  0.343  0.976  1.0
  Sb  Sb9  1  0.832  0.339  0.216  1.0
  Sb  Sb10  1  0.339  0.832  0.216  1.0
  Sb  Sb11  1  0.171  0.171  0.715  1.0
  O  O12  1  0.844  0.315  0.601  1.0
  O  O13  1  0.513  0.513  0.332  1.0
  O  O14  1  0.669  0.669  0.102  1.0
  O  O15  1  0.999  0.999  0.320  1.0
  O  O16  1  0.001  0.001  0.812  1.0
  O  O17  1  0.315  0.844  0.601  1.0
  O  O18  1  0.968  0.521  0.326  1.0
  O  O19  1  0.521  0.968  0.326  1.0
  O  O20  1  0.158  0.158  0.100  1.0
  O  O21  1  0.843  0.843  0.613  1.0
  O  O22  1  0.487  0.036  0.833  1.0
  O  O23  1  0.036  0.487  0.833  1.0
  O  O24  1  0.336  0.336  0.606  1.0
  O  O25  1  0.688  0.155  0.108  1.0
  O  O26  1  0.483  0.483  0.826  1.0
  O  O27  1  0.155  0.688  0.108  1.0
[/CIF]
.
The material described by Li4Fe3Co2Sb3O16 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 Fe(1)O6 octahedra, corners with two equivalent Sb(1)O6 octahedra, corners with two equivalent Sb(2)O6 octahedra, corners with three equivalent Co(2)O6 octahedra, and corners with four equivalent Fe(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 53-63°. In the second Li site, Li(2) is bonded in a 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 in a distorted rectangular see-saw-like geometry to one O(4), one O(8), and two equivalent O(1) atoms. 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 Fe(1)O6 octahedra, corners with two equivalent Fe(2)O6 octahedra, and corners with four equivalent Sb(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 56-59°. There are two inequivalent Fe sites. In the first Fe site, Fe(1) is bonded to one O(3), one O(4), two equivalent O(11), and two equivalent O(6) atoms to form FeO6 octahedra that share corners with two equivalent Co(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra, and edges with four equivalent Sb(1)O6 octahedra. The corner-sharing octahedral tilt angles are 49°. In the second Fe site, Fe(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 FeO6 octahedra that share  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  an edgeedge with one Co(2)O6 octahedra, edges with two equivalent Fe(2)O6 octahedra, and edges with two equivalent Sb(2)O6 octahedra. There are two inequivalent Co sites. In the first Co site, Co(1) is bonded in a 6-coordinate geometry to one O(2), one O(8), two equivalent O(1), and two equivalent O(6) atoms. In the second Co site, Co(2) is bonded to one O(12), one O(7), two equivalent O(11), and two equivalent O(9) atoms to form CoO6 octahedra that share corners with two equivalent Fe(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 Fe(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 49-55°. 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 Co(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra, edges with two equivalent Fe(1)O6 octahedra, and edges with two equivalent Sb(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 53-55°. 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  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  an edgeedge with one Co(2)O6 octahedra, and edges with four equivalent Fe(2)O6 octahedra. There are twelve inequivalent O sites. In the first O site, O(1) is bonded in a rectangular see-saw-like geometry to one Li(3), one Fe(2), one Co(1), and one Sb(2) atom. In the second O site, O(2) is bonded in a 4-coordinate geometry to one Li(4), one Co(1), and two equivalent Sb(1) atoms. In the third O site, O(3) is bonded in a distorted rectangular see-saw-like geometry to one Li(1), one Fe(1), and two equivalent Sb(1) atoms. In the fourth O site, O(4) is bonded to one Li(3), one Fe(1), and two equivalent Sb(1) atoms to form distorted OLiFeSb2 tetrahedra that share corners with four equivalent O(6)LiFeCoSb tetrahedra,  a cornercorner with one O(8)LiFe2Co trigonal pyramid, and edges with two equivalent O(11)LiFeCoSb trigonal pyramids. In the fifth O site, O(5) is bonded to one Li(2), two equivalent Fe(2), and one Sb(2) atom to form distorted OLiFe2Sb tetrahedra that share corners with two equivalent O(12)LiFe2Co tetrahedra, corners with two equivalent O(11)LiFeCoSb trigonal pyramids, corners with three equivalent O(10)LiFe2Sb trigonal pyramids, and  an edgeedge with one O(8)LiFe2Co trigonal pyramid. In the sixth O site, O(6) is bonded to one Li(4), one Fe(1), one Co(1), and one Sb(1) atom to form distorted OLiFeCoSb tetrahedra that share  a cornercorner with one O(6)LiFeCoSb tetrahedra, corners with two equivalent O(4)LiFeSb2 tetrahedra,  a cornercorner with one O(8)LiFe2Co trigonal pyramid,  a cornercorner with one O(10)LiFe2Sb trigonal pyramid, corners with three equivalent O(11)LiFeCoSb trigonal pyramids, and  an edgeedge with one O(6)LiFeCoSb tetrahedra. In the seventh O site, O(7) is bonded in a rectangular see-saw-like geometry to one Li(2), one Co(2), and two equivalent Sb(1) atoms. In the eighth O site, O(8) is bonded to one Li(3), two equivalent Fe(2), and one Co(1) atom to form distorted OLiFe2Co trigonal pyramids that share  a cornercorner with one O(4)LiFeSb2 tetrahedra, corners with two equivalent O(12)LiFe2Co tetrahedra, corners with two equivalent O(6)LiFeCoSb tetrahedra, corners with two equivalent O(10)LiFe2Sb trigonal pyramids, and  an edgeedge with one O(5)LiFe2Sb tetrahedra. In the ninth O site, O(9) is bonded in a distorted rectangular see-saw-like geometry to one Li(1), one Fe(2), one Co(2), and one Sb(2) atom. In the tenth O site, O(10) is bonded to one Li(4), two equivalent Fe(2), and one Sb(2) atom to form distorted OLiFe2Sb trigonal pyramids that share corners with two equivalent O(6)LiFeCoSb tetrahedra, corners with three equivalent O(5)LiFe2Sb tetrahedra, corners with two equivalent O(8)LiFe2Co trigonal pyramids, and  an edgeedge with one O(12)LiFe2Co tetrahedra. In the eleventh O site, O(11) is bonded to one Li(2), one Fe(1), one Co(2), and one Sb(1) atom to form distorted OLiFeCoSb trigonal pyramids that share  a cornercorner with one O(12)LiFe2Co tetrahedra,  a cornercorner with one O(5)LiFe2Sb tetrahedra, corners with three equivalent O(6)LiFeCoSb tetrahedra,  a cornercorner with one O(11)LiFeCoSb trigonal pyramid,  an edgeedge with one O(4)LiFeSb2 tetrahedra, and  an edgeedge with one O(11)LiFeCoSb trigonal pyramid. In the twelfth O site, O(12) is bonded to one Li(1), two equivalent Fe(2), and one Co(2) atom to form distorted OLiFe2Co tetrahedra that share corners with two equivalent O(5)LiFe2Sb tetrahedra, corners with two equivalent O(8)LiFe2Co trigonal pyramids, corners with two equivalent O(11)LiFeCoSb trigonal pyramids, and  an edgeedge with one O(10)LiFe2Sb trigonal pyramid. is represented by the CIF file [CIF]
data_Li4Fe3Co2Sb3O16
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.992
_cell_length_b   5.992
_cell_length_c   9.823
_cell_angle_alpha   89.910
_cell_angle_beta   89.910
_cell_angle_gamma   60.689
_symmetry_Int_Tables_number   1
_cell_volume   307.526
_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  0.667  0.667  0.875  1.0
  Li  Li1  1  0.985  0.985  0.989  1.0
  Li  Li2  1  0.990  0.990  0.506  1.0
  Li  Li3  1  0.331  0.331  0.401  1.0
  Fe  Fe4  1  0.833  0.833  0.215  1.0
  Fe  Fe5  1  0.663  0.172  0.715  1.0
  Fe  Fe6  1  0.172  0.663  0.715  1.0
  Co  Co7  1  0.675  0.675  0.519  1.0
  Co  Co8  1  0.343  0.343  0.976  1.0
  Sb  Sb9  1  0.832  0.339  0.216  1.0
  Sb  Sb10  1  0.339  0.832  0.216  1.0
  Sb  Sb11  1  0.171  0.171  0.715  1.0
  O  O12  1  0.844  0.315  0.601  1.0
  O  O13  1  0.513  0.513  0.332  1.0
  O  O14  1  0.669  0.669  0.102  1.0
  O  O15  1  0.999  0.999  0.320  1.0
  O  O16  1  0.001  0.001  0.812  1.0
  O  O17  1  0.315  0.844  0.601  1.0
  O  O18  1  0.968  0.521  0.326  1.0
  O  O19  1  0.521  0.968  0.326  1.0
  O  O20  1  0.158  0.158  0.100  1.0
  O  O21  1  0.843  0.843  0.613  1.0
  O  O22  1  0.487  0.036  0.833  1.0
  O  O23  1  0.036  0.487  0.833  1.0
  O  O24  1  0.336  0.336  0.606  1.0
  O  O25  1  0.688  0.155  0.108  1.0
  O  O26  1  0.483  0.483  0.826  1.0
  O  O27  1  0.155  0.688  0.108  1.0
[/CIF]
.