The material described by Li4Cr3Co2Sb3O16 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 Sb(1)O6 octahedra, corners with two equivalent Cr(1)O6 octahedra, corners with two equivalent Cr(2)O6 octahedra, and corners with four equivalent Sb(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 57-58°. 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 in a 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 Cr(2)O6 octahedra, corners with two equivalent Sb(1)O6 octahedra, corners with two equivalent Sb(2)O6 octahedra, corners with three equivalent Co(1)O6 octahedra, and corners with four equivalent Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 51-63°. There are two inequivalent Cr sites. In the first Cr site, Cr(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 CrO6 octahedra that share  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one Co(1)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, and edges with two equivalent Sb(1)O6 octahedra. In the second Cr site, Cr(2) is bonded to one O(10), one O(5), two equivalent O(1), and two equivalent O(9) atoms to form CrO6 octahedra that share corners with two equivalent Co(1)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra, and edges with four equivalent Sb(2)O6 octahedra. The corner-sharing octahedral tilt angles are 51°. There are two inequivalent Co sites. In the first Co site, Co(1) is bonded to one O(2), one O(8), two equivalent O(1), and two equivalent O(6) atoms to form CoO6 octahedra that share corners with two equivalent Cr(2)O6 octahedra, corners with four equivalent Sb(2)O6 octahedra, corners with three equivalent Li(4)O4 tetrahedra,  an edgeedge with one Sb(1)O6 octahedra, and edges with two equivalent Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 51-54°. In the second Co site, Co(2) is bonded in a 6-coordinate geometry to one O(12), one O(7), two equivalent O(11), and two equivalent O(9) atoms. There are two inequivalent Sb sites. In the first Sb site, Sb(1) is bonded to one O(3), one O(4), two equivalent O(11), and two equivalent O(6) atoms to form SbO6 octahedra that share  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one Co(1)O6 octahedra, and edges with four equivalent Cr(1)O6 octahedra. In the second Sb site, Sb(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 SbO6 octahedra that share corners with two equivalent Co(1)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra, edges with two equivalent Cr(2)O6 octahedra, and edges with two equivalent Sb(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 53-54°. There are twelve inequivalent O sites. In the first O site, O(1) is bonded to one Li(3), one Cr(2), one Co(1), and one Sb(2) atom to form distorted OLiCrCoSb trigonal pyramids that share  a cornercorner with one O(12)LiCoSb2 tetrahedra,  a cornercorner with one O(2)LiCr2Co tetrahedra,  a cornercorner with one O(4)LiCr2Sb tetrahedra, corners with three equivalent O(9)LiCrCoSb tetrahedra,  a cornercorner with one O(1)LiCrCoSb trigonal pyramid, corners with two equivalent O(10)LiCrSb2 trigonal pyramids,  an edgeedge with one O(5)LiCrSb2 tetrahedra, and  an edgeedge with one O(1)LiCrCoSb trigonal pyramid. In the second O site, O(2) is bonded to one Li(4), two equivalent Cr(1), and one Co(1) atom to form distorted OLiCr2Co tetrahedra that share corners with two equivalent O(4)LiCr2Sb tetrahedra,  a cornercorner with one O(10)LiCrSb2 trigonal pyramid, corners with two equivalent O(1)LiCrCoSb trigonal pyramids, and  an edgeedge with one O(3)LiCr2Sb trigonal pyramid. In the third O site, O(3) is bonded to one Li(1), two equivalent Cr(1), and one Sb(1) atom to form distorted OLiCr2Sb trigonal pyramids that share  a cornercorner with one O(12)LiCoSb2 tetrahedra, corners with two equivalent O(9)LiCrCoSb tetrahedra, corners with three equivalent O(4)LiCr2Sb tetrahedra, and  an edgeedge with one O(2)LiCr2Co tetrahedra. In the fourth O site, O(4) is bonded to one Li(3), two equivalent Cr(1), and one Sb(1) atom to form distorted OLiCr2Sb tetrahedra that share corners with two equivalent O(2)LiCr2Co tetrahedra, corners with two equivalent O(1)LiCrCoSb trigonal pyramids, and corners with three equivalent O(3)LiCr2Sb trigonal pyramids. In the fifth O site, O(5) is bonded to one Li(2), one Cr(2), and two equivalent Sb(2) atoms to form distorted OLiCrSb2 tetrahedra that share corners with two equivalent O(12)LiCoSb2 tetrahedra, corners with four equivalent O(9)LiCrCoSb tetrahedra, corners with three equivalent O(10)LiCrSb2 trigonal pyramids, and edges with two equivalent O(1)LiCrCoSb trigonal pyramids. In the sixth O site, O(6) is bonded in a rectangular see-saw-like geometry to one Li(4), one Cr(1), one Co(1), and one Sb(1) atom. In the seventh O site, O(7) is bonded in a distorted rectangular see-saw-like geometry to one Li(2), two equivalent Cr(1), and one Co(2) atom. In the eighth O site, O(8) is bonded in a distorted rectangular see-saw-like geometry to one Li(3), one Co(1), and two equivalent Sb(2) atoms. In the ninth O site, O(9) is bonded to one Li(1), one Cr(2), one Co(2), and one Sb(2) atom to form distorted OLiCrCoSb tetrahedra that share  a cornercorner with one O(12)LiCoSb2 tetrahedra,  a cornercorner with one O(9)LiCrCoSb tetrahedra, corners with two equivalent O(5)LiCrSb2 tetrahedra,  a cornercorner with one O(3)LiCr2Sb trigonal pyramid, corners with three equivalent O(1)LiCrCoSb trigonal pyramids,  an edgeedge with one O(12)LiCoSb2 tetrahedra,  an edgeedge with one O(9)LiCrCoSb tetrahedra, and  an edgeedge with one O(10)LiCrSb2 trigonal pyramid. In the tenth O site, O(10) is bonded to one Li(4), one Cr(2), and two equivalent Sb(2) atoms to form distorted OLiCrSb2 trigonal pyramids that share  a cornercorner with one O(2)LiCr2Co tetrahedra, corners with three equivalent O(5)LiCrSb2 tetrahedra, corners with four equivalent O(1)LiCrCoSb trigonal pyramids,  an edgeedge with one O(12)LiCoSb2 tetrahedra, and edges with two equivalent O(9)LiCrCoSb tetrahedra. In the eleventh O site, O(11) is bonded in a rectangular see-saw-like geometry to one Li(2), one Cr(1), one Co(2), and one Sb(1) atom. In the twelfth O site, O(12) is bonded to one Li(1), one Co(2), and two equivalent Sb(2) atoms to form distorted OLiCoSb2 tetrahedra that share corners with two equivalent O(9)LiCrCoSb tetrahedra, corners with two equivalent O(5)LiCrSb2 tetrahedra,  a cornercorner with one O(3)LiCr2Sb trigonal pyramid, corners with two equivalent O(1)LiCrCoSb trigonal pyramids, edges with two equivalent O(9)LiCrCoSb tetrahedra, and  an edgeedge with one O(10)LiCrSb2 trigonal pyramid. is represented by the Crystallographic Information File (CIF) [CIF]
data_Li4Cr3Co2Sb3O16
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.096
_cell_length_b   6.096
_cell_length_c   9.857
_cell_angle_alpha   89.661
_cell_angle_beta   89.661
_cell_angle_gamma   60.362
_symmetry_Int_Tables_number   1
_cell_volume   318.349
_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  0.671  0.671  0.900  1.0
  Li  Li1  1  0.010  0.010  0.006  1.0
  Li  Li2  1  0.011  0.011  0.491  1.0
  Li  Li3  1  0.336  0.336  0.373  1.0
  Cr  Cr4  1  0.831  0.337  0.215  1.0
  Cr  Cr5  1  0.337  0.831  0.215  1.0
  Cr  Cr6  1  0.168  0.168  0.716  1.0
  Co  Co7  1  0.654  0.654  0.476  1.0
  Co  Co8  1  0.327  0.327  0.018  1.0
  Sb  Sb9  1  0.830  0.830  0.215  1.0
  Sb  Sb10  1  0.662  0.168  0.716  1.0
  Sb  Sb11  1  0.168  0.662  0.716  1.0
  O  O12  1  0.838  0.311  0.606  1.0
  O  O13  1  0.517  0.517  0.331  1.0
  O  O14  1  0.667  0.667  0.105  1.0
  O  O15  1  0.998  0.998  0.312  1.0
  O  O16  1  1.000  1.000  0.820  1.0
  O  O17  1  0.311  0.838  0.606  1.0
  O  O18  1  0.966  0.519  0.334  1.0
  O  O19  1  0.519  0.966  0.334  1.0
  O  O20  1  0.159  0.159  0.106  1.0
  O  O21  1  0.844  0.844  0.603  1.0
  O  O22  1  0.487  0.032  0.828  1.0
  O  O23  1  0.032  0.487  0.828  1.0
  O  O24  1  0.333  0.333  0.603  1.0
  O  O25  1  0.685  0.152  0.102  1.0
  O  O26  1  0.487  0.487  0.831  1.0
  O  O27  1  0.152  0.685  0.102  1.0
[/CIF]
.
The material described by Li4Cr3Co2Sb3O16 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 Sb(1)O6 octahedra, corners with two equivalent Cr(1)O6 octahedra, corners with two equivalent Cr(2)O6 octahedra, and corners with four equivalent Sb(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 57-58°. 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 in a 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 Cr(2)O6 octahedra, corners with two equivalent Sb(1)O6 octahedra, corners with two equivalent Sb(2)O6 octahedra, corners with three equivalent Co(1)O6 octahedra, and corners with four equivalent Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 51-63°. There are two inequivalent Cr sites. In the first Cr site, Cr(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 CrO6 octahedra that share  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one Co(1)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, and edges with two equivalent Sb(1)O6 octahedra. In the second Cr site, Cr(2) is bonded to one O(10), one O(5), two equivalent O(1), and two equivalent O(9) atoms to form CrO6 octahedra that share corners with two equivalent Co(1)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra, and edges with four equivalent Sb(2)O6 octahedra. The corner-sharing octahedral tilt angles are 51°. There are two inequivalent Co sites. In the first Co site, Co(1) is bonded to one O(2), one O(8), two equivalent O(1), and two equivalent O(6) atoms to form CoO6 octahedra that share corners with two equivalent Cr(2)O6 octahedra, corners with four equivalent Sb(2)O6 octahedra, corners with three equivalent Li(4)O4 tetrahedra,  an edgeedge with one Sb(1)O6 octahedra, and edges with two equivalent Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 51-54°. In the second Co site, Co(2) is bonded in a 6-coordinate geometry to one O(12), one O(7), two equivalent O(11), and two equivalent O(9) atoms. There are two inequivalent Sb sites. In the first Sb site, Sb(1) is bonded to one O(3), one O(4), two equivalent O(11), and two equivalent O(6) atoms to form SbO6 octahedra that share  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one Co(1)O6 octahedra, and edges with four equivalent Cr(1)O6 octahedra. In the second Sb site, Sb(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 SbO6 octahedra that share corners with two equivalent Co(1)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra, edges with two equivalent Cr(2)O6 octahedra, and edges with two equivalent Sb(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 53-54°. There are twelve inequivalent O sites. In the first O site, O(1) is bonded to one Li(3), one Cr(2), one Co(1), and one Sb(2) atom to form distorted OLiCrCoSb trigonal pyramids that share  a cornercorner with one O(12)LiCoSb2 tetrahedra,  a cornercorner with one O(2)LiCr2Co tetrahedra,  a cornercorner with one O(4)LiCr2Sb tetrahedra, corners with three equivalent O(9)LiCrCoSb tetrahedra,  a cornercorner with one O(1)LiCrCoSb trigonal pyramid, corners with two equivalent O(10)LiCrSb2 trigonal pyramids,  an edgeedge with one O(5)LiCrSb2 tetrahedra, and  an edgeedge with one O(1)LiCrCoSb trigonal pyramid. In the second O site, O(2) is bonded to one Li(4), two equivalent Cr(1), and one Co(1) atom to form distorted OLiCr2Co tetrahedra that share corners with two equivalent O(4)LiCr2Sb tetrahedra,  a cornercorner with one O(10)LiCrSb2 trigonal pyramid, corners with two equivalent O(1)LiCrCoSb trigonal pyramids, and  an edgeedge with one O(3)LiCr2Sb trigonal pyramid. In the third O site, O(3) is bonded to one Li(1), two equivalent Cr(1), and one Sb(1) atom to form distorted OLiCr2Sb trigonal pyramids that share  a cornercorner with one O(12)LiCoSb2 tetrahedra, corners with two equivalent O(9)LiCrCoSb tetrahedra, corners with three equivalent O(4)LiCr2Sb tetrahedra, and  an edgeedge with one O(2)LiCr2Co tetrahedra. In the fourth O site, O(4) is bonded to one Li(3), two equivalent Cr(1), and one Sb(1) atom to form distorted OLiCr2Sb tetrahedra that share corners with two equivalent O(2)LiCr2Co tetrahedra, corners with two equivalent O(1)LiCrCoSb trigonal pyramids, and corners with three equivalent O(3)LiCr2Sb trigonal pyramids. In the fifth O site, O(5) is bonded to one Li(2), one Cr(2), and two equivalent Sb(2) atoms to form distorted OLiCrSb2 tetrahedra that share corners with two equivalent O(12)LiCoSb2 tetrahedra, corners with four equivalent O(9)LiCrCoSb tetrahedra, corners with three equivalent O(10)LiCrSb2 trigonal pyramids, and edges with two equivalent O(1)LiCrCoSb trigonal pyramids. In the sixth O site, O(6) is bonded in a rectangular see-saw-like geometry to one Li(4), one Cr(1), one Co(1), and one Sb(1) atom. In the seventh O site, O(7) is bonded in a distorted rectangular see-saw-like geometry to one Li(2), two equivalent Cr(1), and one Co(2) atom. In the eighth O site, O(8) is bonded in a distorted rectangular see-saw-like geometry to one Li(3), one Co(1), and two equivalent Sb(2) atoms. In the ninth O site, O(9) is bonded to one Li(1), one Cr(2), one Co(2), and one Sb(2) atom to form distorted OLiCrCoSb tetrahedra that share  a cornercorner with one O(12)LiCoSb2 tetrahedra,  a cornercorner with one O(9)LiCrCoSb tetrahedra, corners with two equivalent O(5)LiCrSb2 tetrahedra,  a cornercorner with one O(3)LiCr2Sb trigonal pyramid, corners with three equivalent O(1)LiCrCoSb trigonal pyramids,  an edgeedge with one O(12)LiCoSb2 tetrahedra,  an edgeedge with one O(9)LiCrCoSb tetrahedra, and  an edgeedge with one O(10)LiCrSb2 trigonal pyramid. In the tenth O site, O(10) is bonded to one Li(4), one Cr(2), and two equivalent Sb(2) atoms to form distorted OLiCrSb2 trigonal pyramids that share  a cornercorner with one O(2)LiCr2Co tetrahedra, corners with three equivalent O(5)LiCrSb2 tetrahedra, corners with four equivalent O(1)LiCrCoSb trigonal pyramids,  an edgeedge with one O(12)LiCoSb2 tetrahedra, and edges with two equivalent O(9)LiCrCoSb tetrahedra. In the eleventh O site, O(11) is bonded in a rectangular see-saw-like geometry to one Li(2), one Cr(1), one Co(2), and one Sb(1) atom. In the twelfth O site, O(12) is bonded to one Li(1), one Co(2), and two equivalent Sb(2) atoms to form distorted OLiCoSb2 tetrahedra that share corners with two equivalent O(9)LiCrCoSb tetrahedra, corners with two equivalent O(5)LiCrSb2 tetrahedra,  a cornercorner with one O(3)LiCr2Sb trigonal pyramid, corners with two equivalent O(1)LiCrCoSb trigonal pyramids, edges with two equivalent O(9)LiCrCoSb tetrahedra, and  an edgeedge with one O(10)LiCrSb2 trigonal pyramid. is represented by the Crystallographic Information File (CIF) [CIF]
data_Li4Cr3Co2Sb3O16
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.096
_cell_length_b   6.096
_cell_length_c   9.857
_cell_angle_alpha   89.661
_cell_angle_beta   89.661
_cell_angle_gamma   60.362
_symmetry_Int_Tables_number   1
_cell_volume   318.349
_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  0.671  0.671  0.900  1.0
  Li  Li1  1  0.010  0.010  0.006  1.0
  Li  Li2  1  0.011  0.011  0.491  1.0
  Li  Li3  1  0.336  0.336  0.373  1.0
  Cr  Cr4  1  0.831  0.337  0.215  1.0
  Cr  Cr5  1  0.337  0.831  0.215  1.0
  Cr  Cr6  1  0.168  0.168  0.716  1.0
  Co  Co7  1  0.654  0.654  0.476  1.0
  Co  Co8  1  0.327  0.327  0.018  1.0
  Sb  Sb9  1  0.830  0.830  0.215  1.0
  Sb  Sb10  1  0.662  0.168  0.716  1.0
  Sb  Sb11  1  0.168  0.662  0.716  1.0
  O  O12  1  0.838  0.311  0.606  1.0
  O  O13  1  0.517  0.517  0.331  1.0
  O  O14  1  0.667  0.667  0.105  1.0
  O  O15  1  0.998  0.998  0.312  1.0
  O  O16  1  1.000  1.000  0.820  1.0
  O  O17  1  0.311  0.838  0.606  1.0
  O  O18  1  0.966  0.519  0.334  1.0
  O  O19  1  0.519  0.966  0.334  1.0
  O  O20  1  0.159  0.159  0.106  1.0
  O  O21  1  0.844  0.844  0.603  1.0
  O  O22  1  0.487  0.032  0.828  1.0
  O  O23  1  0.032  0.487  0.828  1.0
  O  O24  1  0.333  0.333  0.603  1.0
  O  O25  1  0.685  0.152  0.102  1.0
  O  O26  1  0.487  0.487  0.831  1.0
  O  O27  1  0.152  0.685  0.102  1.0
[/CIF]
.