The crystal structure described by Li4Fe3Co2Ni3O16 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 tetrahedra that share  a cornercorner with one Ni(1)O6 octahedra, corners with two equivalent Fe(1)O6 octahedra, corners with two equivalent Fe(2)O6 octahedra, corners with three equivalent Co(2)O6 octahedra, and corners with four equivalent Ni(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 53-64°. In the second Li site, Li(2) is bonded to one O(5), one O(7), and two equivalent O(11) atoms to form distorted LiO4 tetrahedra that share  a cornercorner with one Fe(2)O6 octahedra, corners with two equivalent Ni(2)O6 octahedra, corners with three equivalent Co(2)O6 octahedra,  an edgeedge with one Ni(1)O6 octahedra, and edges with two equivalent Fe(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 61-67°. 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 Ni(1)O6 octahedra, corners with two equivalent Fe(1)O6 octahedra, corners with three equivalent Co(1)O6 octahedra,  an edgeedge with one Fe(2)O6 octahedra, and edges with two equivalent Ni(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 61-65°. 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 Fe(2)O6 octahedra, corners with two equivalent Ni(1)O6 octahedra, corners with two equivalent Ni(2)O6 octahedra, corners with three equivalent Co(1)O6 octahedra, and corners with four equivalent Fe(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 54-63°. There are two inequivalent Fe sites. In the first Fe site, Fe(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 FeO6 octahedra that share corners with two equivalent Co(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 Co(1)O6 octahedra, edges with two equivalent Fe(1)O6 octahedra, edges with two equivalent Ni(1)O6 octahedra, and  an edgeedge with one Li(2)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 49-50°. In the second Fe site, Fe(2) is bonded to one O(10), one O(5), two equivalent O(1), and two equivalent O(9) atoms to form FeO6 octahedra that share corners with two equivalent Co(1)O6 octahedra,  a cornercorner with one Li(2)O4 tetrahedra,  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 four equivalent Ni(2)O6 octahedra, and  an edgeedge with one Li(3)O4 tetrahedra. 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 Fe(2)O6 octahedra, corners with four equivalent Ni(2)O6 octahedra, corners with three equivalent Li(3)O4 tetrahedra, corners with three equivalent Li(4)O4 tetrahedra,  an edgeedge with one Ni(1)O6 octahedra, and edges with two equivalent Fe(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 49-51°. 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 Ni(1)O6 octahedra, corners with four equivalent Fe(1)O6 octahedra, corners with three equivalent Li(1)O4 tetrahedra, corners with three equivalent Li(2)O4 tetrahedra,  an edgeedge with one Fe(2)O6 octahedra, and edges with two equivalent Ni(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 49-50°. There are two inequivalent Ni sites. In the first Ni site, Ni(1) is bonded to one O(3), one O(4), two equivalent O(11), and two equivalent O(6) atoms to form NiO6 octahedra that share corners with two equivalent Co(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 Co(1)O6 octahedra, edges with four equivalent Fe(1)O6 octahedra, and  an edgeedge with one Li(2)O4 tetrahedra. The corner-sharing octahedral tilt angles are 50°. In the second Ni site, Ni(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 NiO6 octahedra that share corners with two equivalent Co(1)O6 octahedra,  a cornercorner with one Li(2)O4 tetrahedra,  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, edges with two equivalent Ni(2)O6 octahedra, and  an edgeedge with one Li(3)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 49-51°. 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 Ni(2) atom. In the second O site, O(2) is bonded in a distorted rectangular see-saw-like geometry to one Li(4), two equivalent Fe(1), and one Co(1) atom. In the third O site, O(3) is bonded to one Li(1), two equivalent Fe(1), and one Ni(1) atom to form distorted corner-sharing OLiFe2Ni trigonal pyramids. In the fourth O site, O(4) is bonded to one Li(3), two equivalent Fe(1), and one Ni(1) atom to form corner-sharing OLiFe2Ni tetrahedra. In the fifth O site, O(5) is bonded to one Li(2), one Fe(2), and two equivalent Ni(2) atoms to form corner-sharing OLiFeNi2 tetrahedra. In the sixth O site, O(6) is bonded in a distorted rectangular see-saw-like geometry to one Li(4), one Fe(1), one Co(1), and one Ni(1) atom. In the seventh O site, O(7) is bonded in a rectangular see-saw-like geometry to one Li(2), two equivalent Fe(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 Ni(2) atoms. 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 Ni(2) atom. In the tenth O site, O(10) is bonded to one Li(4), one Fe(2), and two equivalent Ni(2) atoms to form distorted corner-sharing OLiFeNi2 trigonal pyramids. In the eleventh O site, O(11) is bonded in a rectangular see-saw-like geometry to one Li(2), one Fe(1), one Co(2), and one Ni(1) atom. In the twelfth O site, O(12) is bonded in a distorted rectangular see-saw-like geometry to one Li(1), one Co(2), and two equivalent Ni(2) atoms. is represented by the CIF card [CIF]
data_Li4Fe3Co2Ni3O16
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.813
_cell_length_b   5.813
_cell_length_c   9.288
_cell_angle_alpha   89.746
_cell_angle_beta   89.746
_cell_angle_gamma   60.269
_symmetry_Int_Tables_number   1
_cell_volume   272.561
_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  0.329  0.329  0.106  1.0
  Li  Li1  1  0.006  0.006  0.007  1.0
  Li  Li2  1  0.006  0.006  0.506  1.0
  Li  Li3  1  0.664  0.664  0.599  1.0
  Fe  Fe4  1  0.659  0.169  0.787  1.0
  Fe  Fe5  1  0.169  0.659  0.787  1.0
  Fe  Fe6  1  0.831  0.831  0.287  1.0
  Co  Co7  1  0.334  0.334  0.514  1.0
  Co  Co8  1  0.664  0.664  0.018  1.0
  Ni  Ni9  1  0.172  0.172  0.789  1.0
  Ni  Ni10  1  0.828  0.343  0.287  1.0
  Ni  Ni11  1  0.343  0.828  0.287  1.0
  O  O12  1  0.666  0.169  0.402  1.0
  O  O13  1  0.477  0.477  0.651  1.0
  O  O14  1  0.330  0.330  0.897  1.0
  O  O15  1  0.008  0.008  0.699  1.0
  O  O16  1  0.009  0.009  0.200  1.0
  O  O17  1  0.169  0.666  0.402  1.0
  O  O18  1  0.480  0.041  0.649  1.0
  O  O19  1  0.041  0.480  0.649  1.0
  O  O20  1  0.830  0.830  0.904  1.0
  O  O21  1  0.174  0.174  0.404  1.0
  O  O22  1  0.953  0.518  0.153  1.0
  O  O23  1  0.518  0.953  0.153  1.0
  O  O24  1  0.660  0.660  0.391  1.0
  O  O25  1  0.825  0.343  0.905  1.0
  O  O26  1  0.518  0.518  0.152  1.0
  O  O27  1  0.343  0.825  0.905  1.0
[/CIF]
.
The crystal structure described by Li4Fe3Co2Ni3O16 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 tetrahedra that share  a cornercorner with one Ni(1)O6 octahedra, corners with two equivalent Fe(1)O6 octahedra, corners with two equivalent Fe(2)O6 octahedra, corners with three equivalent Co(2)O6 octahedra, and corners with four equivalent Ni(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 53-64°. In the second Li site, Li(2) is bonded to one O(5), one O(7), and two equivalent O(11) atoms to form distorted LiO4 tetrahedra that share  a cornercorner with one Fe(2)O6 octahedra, corners with two equivalent Ni(2)O6 octahedra, corners with three equivalent Co(2)O6 octahedra,  an edgeedge with one Ni(1)O6 octahedra, and edges with two equivalent Fe(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 61-67°. 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 Ni(1)O6 octahedra, corners with two equivalent Fe(1)O6 octahedra, corners with three equivalent Co(1)O6 octahedra,  an edgeedge with one Fe(2)O6 octahedra, and edges with two equivalent Ni(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 61-65°. 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 Fe(2)O6 octahedra, corners with two equivalent Ni(1)O6 octahedra, corners with two equivalent Ni(2)O6 octahedra, corners with three equivalent Co(1)O6 octahedra, and corners with four equivalent Fe(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 54-63°. There are two inequivalent Fe sites. In the first Fe site, Fe(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 FeO6 octahedra that share corners with two equivalent Co(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 Co(1)O6 octahedra, edges with two equivalent Fe(1)O6 octahedra, edges with two equivalent Ni(1)O6 octahedra, and  an edgeedge with one Li(2)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 49-50°. In the second Fe site, Fe(2) is bonded to one O(10), one O(5), two equivalent O(1), and two equivalent O(9) atoms to form FeO6 octahedra that share corners with two equivalent Co(1)O6 octahedra,  a cornercorner with one Li(2)O4 tetrahedra,  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 four equivalent Ni(2)O6 octahedra, and  an edgeedge with one Li(3)O4 tetrahedra. 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 Fe(2)O6 octahedra, corners with four equivalent Ni(2)O6 octahedra, corners with three equivalent Li(3)O4 tetrahedra, corners with three equivalent Li(4)O4 tetrahedra,  an edgeedge with one Ni(1)O6 octahedra, and edges with two equivalent Fe(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 49-51°. 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 Ni(1)O6 octahedra, corners with four equivalent Fe(1)O6 octahedra, corners with three equivalent Li(1)O4 tetrahedra, corners with three equivalent Li(2)O4 tetrahedra,  an edgeedge with one Fe(2)O6 octahedra, and edges with two equivalent Ni(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 49-50°. There are two inequivalent Ni sites. In the first Ni site, Ni(1) is bonded to one O(3), one O(4), two equivalent O(11), and two equivalent O(6) atoms to form NiO6 octahedra that share corners with two equivalent Co(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 Co(1)O6 octahedra, edges with four equivalent Fe(1)O6 octahedra, and  an edgeedge with one Li(2)O4 tetrahedra. The corner-sharing octahedral tilt angles are 50°. In the second Ni site, Ni(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 NiO6 octahedra that share corners with two equivalent Co(1)O6 octahedra,  a cornercorner with one Li(2)O4 tetrahedra,  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, edges with two equivalent Ni(2)O6 octahedra, and  an edgeedge with one Li(3)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 49-51°. 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 Ni(2) atom. In the second O site, O(2) is bonded in a distorted rectangular see-saw-like geometry to one Li(4), two equivalent Fe(1), and one Co(1) atom. In the third O site, O(3) is bonded to one Li(1), two equivalent Fe(1), and one Ni(1) atom to form distorted corner-sharing OLiFe2Ni trigonal pyramids. In the fourth O site, O(4) is bonded to one Li(3), two equivalent Fe(1), and one Ni(1) atom to form corner-sharing OLiFe2Ni tetrahedra. In the fifth O site, O(5) is bonded to one Li(2), one Fe(2), and two equivalent Ni(2) atoms to form corner-sharing OLiFeNi2 tetrahedra. In the sixth O site, O(6) is bonded in a distorted rectangular see-saw-like geometry to one Li(4), one Fe(1), one Co(1), and one Ni(1) atom. In the seventh O site, O(7) is bonded in a rectangular see-saw-like geometry to one Li(2), two equivalent Fe(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 Ni(2) atoms. 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 Ni(2) atom. In the tenth O site, O(10) is bonded to one Li(4), one Fe(2), and two equivalent Ni(2) atoms to form distorted corner-sharing OLiFeNi2 trigonal pyramids. In the eleventh O site, O(11) is bonded in a rectangular see-saw-like geometry to one Li(2), one Fe(1), one Co(2), and one Ni(1) atom. In the twelfth O site, O(12) is bonded in a distorted rectangular see-saw-like geometry to one Li(1), one Co(2), and two equivalent Ni(2) atoms. is represented by the CIF card [CIF]
data_Li4Fe3Co2Ni3O16
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.813
_cell_length_b   5.813
_cell_length_c   9.288
_cell_angle_alpha   89.746
_cell_angle_beta   89.746
_cell_angle_gamma   60.269
_symmetry_Int_Tables_number   1
_cell_volume   272.561
_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  0.329  0.329  0.106  1.0
  Li  Li1  1  0.006  0.006  0.007  1.0
  Li  Li2  1  0.006  0.006  0.506  1.0
  Li  Li3  1  0.664  0.664  0.599  1.0
  Fe  Fe4  1  0.659  0.169  0.787  1.0
  Fe  Fe5  1  0.169  0.659  0.787  1.0
  Fe  Fe6  1  0.831  0.831  0.287  1.0
  Co  Co7  1  0.334  0.334  0.514  1.0
  Co  Co8  1  0.664  0.664  0.018  1.0
  Ni  Ni9  1  0.172  0.172  0.789  1.0
  Ni  Ni10  1  0.828  0.343  0.287  1.0
  Ni  Ni11  1  0.343  0.828  0.287  1.0
  O  O12  1  0.666  0.169  0.402  1.0
  O  O13  1  0.477  0.477  0.651  1.0
  O  O14  1  0.330  0.330  0.897  1.0
  O  O15  1  0.008  0.008  0.699  1.0
  O  O16  1  0.009  0.009  0.200  1.0
  O  O17  1  0.169  0.666  0.402  1.0
  O  O18  1  0.480  0.041  0.649  1.0
  O  O19  1  0.041  0.480  0.649  1.0
  O  O20  1  0.830  0.830  0.904  1.0
  O  O21  1  0.174  0.174  0.404  1.0
  O  O22  1  0.953  0.518  0.153  1.0
  O  O23  1  0.518  0.953  0.153  1.0
  O  O24  1  0.660  0.660  0.391  1.0
  O  O25  1  0.825  0.343  0.905  1.0
  O  O26  1  0.518  0.518  0.152  1.0
  O  O27  1  0.343  0.825  0.905  1.0
[/CIF]
.