The compound described by Li4Fe2Co3Ni3O16 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 Co(1)O6 octahedra, corners with two equivalent Co(2)O6 octahedra, corners with three equivalent Fe(2)O6 octahedra, and corners with four equivalent Ni(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 58-62°. 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 to one O(4), one O(8), and two equivalent O(1) atoms to form distorted LiO4 trigonal pyramids that share  a cornercorner with one Ni(1)O6 octahedra, corners with two equivalent Co(1)O6 octahedra, corners with three equivalent Fe(1)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra, and edges with two equivalent Ni(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 61-64°. 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 Co(2)O6 octahedra, corners with two equivalent Ni(1)O6 octahedra, corners with two equivalent Ni(2)O6 octahedra, corners with three equivalent Fe(1)O6 octahedra, and corners with four equivalent Co(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 58-64°. 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 FeO6 octahedra that share corners with two equivalent Co(2)O6 octahedra, corners with four equivalent Ni(2)O6 octahedra, corners with three equivalent Li(4)O4 tetrahedra, corners with three equivalent Li(3)O4 trigonal pyramids,  an edgeedge with one Ni(1)O6 octahedra, and edges with two equivalent Co(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 49-53°. 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 Ni(1)O6 octahedra, corners with four equivalent Co(1)O6 octahedra, corners with three equivalent Li(1)O4 tetrahedra,  an edgeedge with one Co(2)O6 octahedra, and edges with two equivalent Ni(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 50-55°. There are two inequivalent Co sites. In the first Co site, Co(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 CoO6 octahedra that share corners with two equivalent Fe(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  a cornercorner with one Li(3)O4 trigonal pyramid,  an edgeedge with one Fe(1)O6 octahedra, edges with two equivalent Co(1)O6 octahedra, and edges with two equivalent Ni(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 50-52°. In the second Co site, Co(2) is bonded to one O(10), one O(5), two equivalent O(1), and two equivalent O(9) atoms to form CoO6 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 Ni(2)O6 octahedra, and  an edgeedge with one Li(3)O4 trigonal pyramid. The corner-sharing octahedral tilt angles are 49°. 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 Fe(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  a cornercorner with one Li(3)O4 trigonal pyramid,  an edgeedge with one Fe(1)O6 octahedra, and edges with four equivalent Co(1)O6 octahedra. The corner-sharing octahedral tilt angles are 55°. 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 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 Co(2)O6 octahedra, edges with two equivalent Ni(2)O6 octahedra, and  an edgeedge with one Li(3)O4 trigonal pyramid. The corner-sharing octahedral tilt angles are 53°. 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(1), one Co(2), and one Ni(2) atom. In the second O site, O(2) is bonded to one Li(4), one Fe(1), and two equivalent Co(1) atoms to form distorted OLiFeCo2 tetrahedra that share corners with two equivalent O(4)LiCo2Ni tetrahedra, corners with two equivalent O(6)LiFeCoNi tetrahedra,  a cornercorner with one O(10)LiCoNi2 trigonal pyramid, edges with two equivalent O(6)LiFeCoNi tetrahedra, and  an edgeedge with one O(3)LiCo2Ni trigonal pyramid. In the third O site, O(3) is bonded to one Li(1), two equivalent Co(1), and one Ni(1) atom to form distorted OLiCo2Ni trigonal pyramids that share  a cornercorner with one O(12)LiFeNi2 tetrahedra, corners with three equivalent O(4)LiCo2Ni tetrahedra,  an edgeedge with one O(2)LiFeCo2 tetrahedra, and edges with two equivalent O(6)LiFeCoNi tetrahedra. In the fourth O site, O(4) is bonded to one Li(3), two equivalent Co(1), and one Ni(1) atom to form distorted OLiCo2Ni tetrahedra that share corners with two equivalent O(2)LiFeCo2 tetrahedra, corners with four equivalent O(6)LiFeCoNi tetrahedra, and corners with three equivalent O(3)LiCo2Ni trigonal pyramids. In the fifth O site, O(5) is bonded to one Li(2), one Co(2), and two equivalent Ni(2) atoms to form OLiCoNi2 tetrahedra that share corners with two equivalent O(12)LiFeNi2 tetrahedra and corners with three equivalent O(10)LiCoNi2 trigonal pyramids. In the sixth O site, O(6) is bonded to one Li(4), one Fe(1), one Co(1), and one Ni(1) atom to form distorted OLiFeCoNi tetrahedra that share  a cornercorner with one O(2)LiFeCo2 tetrahedra,  a cornercorner with one O(6)LiFeCoNi tetrahedra, corners with two equivalent O(4)LiCo2Ni tetrahedra,  a cornercorner with one O(10)LiCoNi2 trigonal pyramid,  an edgeedge with one O(2)LiFeCo2 tetrahedra,  an edgeedge with one O(6)LiFeCoNi tetrahedra, and  an edgeedge with one O(3)LiCo2Ni trigonal pyramid. In the seventh O site, O(7) is bonded in a distorted rectangular see-saw-like geometry to one Li(2), one Fe(2), and two equivalent Co(1) atoms. In the eighth O site, O(8) is bonded in a rectangular see-saw-like geometry to one Li(3), one Fe(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 Co(2), and two equivalent Ni(2) atoms to form distorted OLiCoNi2 trigonal pyramids that share  a cornercorner with one O(2)LiFeCo2 tetrahedra, corners with two equivalent O(6)LiFeCoNi tetrahedra, corners with three equivalent O(5)LiCoNi2 tetrahedra, and  an edgeedge with one O(12)LiFeNi2 tetrahedra. In the eleventh O site, O(11) is bonded in a rectangular see-saw-like geometry to one Li(2), one Fe(2), one Co(1), and one Ni(1) atom. In the twelfth O site, O(12) is bonded to one Li(1), one Fe(2), and two equivalent Ni(2) atoms to form distorted OLiFeNi2 tetrahedra that share corners with two equivalent O(5)LiCoNi2 tetrahedra,  a cornercorner with one O(3)LiCo2Ni trigonal pyramid, and  an edgeedge with one O(10)LiCoNi2 trigonal pyramid. is represented by the Crystallographic Information File (CIF) [CIF]
data_Li4Fe2Co3Ni3O16
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.778
_cell_length_b   5.778
_cell_length_c   9.414
_cell_angle_alpha   88.599
_cell_angle_beta   88.599
_cell_angle_gamma   59.050
_symmetry_Int_Tables_number   1
_cell_volume   269.444
_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  0.662  0.662  0.105  1.0
  Li  Li1  1  0.998  0.998  0.004  1.0
  Li  Li2  1  0.004  0.004  0.502  1.0
  Li  Li3  1  0.334  0.334  0.605  1.0
  Fe  Fe4  1  0.673  0.673  0.508  1.0
  Fe  Fe5  1  0.332  0.332  0.014  1.0
  Co  Co6  1  0.336  0.829  0.787  1.0
  Co  Co7  1  0.829  0.336  0.787  1.0
  Co  Co8  1  0.170  0.170  0.287  1.0
  Ni  Ni9  1  0.829  0.829  0.786  1.0
  Ni  Ni10  1  0.170  0.662  0.285  1.0
  Ni  Ni11  1  0.662  0.170  0.285  1.0
  O  O12  1  0.331  0.853  0.399  1.0
  O  O13  1  0.519  0.519  0.671  1.0
  O  O14  1  0.660  0.660  0.892  1.0
  O  O15  1  0.003  0.003  0.691  1.0
  O  O16  1  0.005  0.005  0.194  1.0
  O  O17  1  0.853  0.331  0.399  1.0
  O  O18  1  0.510  0.962  0.668  1.0
  O  O19  1  0.962  0.510  0.668  1.0
  O  O20  1  0.158  0.158  0.890  1.0
  O  O21  1  0.843  0.843  0.400  1.0
  O  O22  1  0.031  0.468  0.161  1.0
  O  O23  1  0.468  0.031  0.161  1.0
  O  O24  1  0.331  0.331  0.388  1.0
  O  O25  1  0.169  0.675  0.896  1.0
  O  O26  1  0.479  0.479  0.164  1.0
  O  O27  1  0.675  0.169  0.896  1.0
[/CIF]
.
The compound described by Li4Fe2Co3Ni3O16 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 Co(1)O6 octahedra, corners with two equivalent Co(2)O6 octahedra, corners with three equivalent Fe(2)O6 octahedra, and corners with four equivalent Ni(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 58-62°. 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 to one O(4), one O(8), and two equivalent O(1) atoms to form distorted LiO4 trigonal pyramids that share  a cornercorner with one Ni(1)O6 octahedra, corners with two equivalent Co(1)O6 octahedra, corners with three equivalent Fe(1)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra, and edges with two equivalent Ni(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 61-64°. 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 Co(2)O6 octahedra, corners with two equivalent Ni(1)O6 octahedra, corners with two equivalent Ni(2)O6 octahedra, corners with three equivalent Fe(1)O6 octahedra, and corners with four equivalent Co(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 58-64°. 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 FeO6 octahedra that share corners with two equivalent Co(2)O6 octahedra, corners with four equivalent Ni(2)O6 octahedra, corners with three equivalent Li(4)O4 tetrahedra, corners with three equivalent Li(3)O4 trigonal pyramids,  an edgeedge with one Ni(1)O6 octahedra, and edges with two equivalent Co(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 49-53°. 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 Ni(1)O6 octahedra, corners with four equivalent Co(1)O6 octahedra, corners with three equivalent Li(1)O4 tetrahedra,  an edgeedge with one Co(2)O6 octahedra, and edges with two equivalent Ni(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 50-55°. There are two inequivalent Co sites. In the first Co site, Co(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 CoO6 octahedra that share corners with two equivalent Fe(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  a cornercorner with one Li(3)O4 trigonal pyramid,  an edgeedge with one Fe(1)O6 octahedra, edges with two equivalent Co(1)O6 octahedra, and edges with two equivalent Ni(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 50-52°. In the second Co site, Co(2) is bonded to one O(10), one O(5), two equivalent O(1), and two equivalent O(9) atoms to form CoO6 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 Ni(2)O6 octahedra, and  an edgeedge with one Li(3)O4 trigonal pyramid. The corner-sharing octahedral tilt angles are 49°. 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 Fe(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  a cornercorner with one Li(3)O4 trigonal pyramid,  an edgeedge with one Fe(1)O6 octahedra, and edges with four equivalent Co(1)O6 octahedra. The corner-sharing octahedral tilt angles are 55°. 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 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 Co(2)O6 octahedra, edges with two equivalent Ni(2)O6 octahedra, and  an edgeedge with one Li(3)O4 trigonal pyramid. The corner-sharing octahedral tilt angles are 53°. 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(1), one Co(2), and one Ni(2) atom. In the second O site, O(2) is bonded to one Li(4), one Fe(1), and two equivalent Co(1) atoms to form distorted OLiFeCo2 tetrahedra that share corners with two equivalent O(4)LiCo2Ni tetrahedra, corners with two equivalent O(6)LiFeCoNi tetrahedra,  a cornercorner with one O(10)LiCoNi2 trigonal pyramid, edges with two equivalent O(6)LiFeCoNi tetrahedra, and  an edgeedge with one O(3)LiCo2Ni trigonal pyramid. In the third O site, O(3) is bonded to one Li(1), two equivalent Co(1), and one Ni(1) atom to form distorted OLiCo2Ni trigonal pyramids that share  a cornercorner with one O(12)LiFeNi2 tetrahedra, corners with three equivalent O(4)LiCo2Ni tetrahedra,  an edgeedge with one O(2)LiFeCo2 tetrahedra, and edges with two equivalent O(6)LiFeCoNi tetrahedra. In the fourth O site, O(4) is bonded to one Li(3), two equivalent Co(1), and one Ni(1) atom to form distorted OLiCo2Ni tetrahedra that share corners with two equivalent O(2)LiFeCo2 tetrahedra, corners with four equivalent O(6)LiFeCoNi tetrahedra, and corners with three equivalent O(3)LiCo2Ni trigonal pyramids. In the fifth O site, O(5) is bonded to one Li(2), one Co(2), and two equivalent Ni(2) atoms to form OLiCoNi2 tetrahedra that share corners with two equivalent O(12)LiFeNi2 tetrahedra and corners with three equivalent O(10)LiCoNi2 trigonal pyramids. In the sixth O site, O(6) is bonded to one Li(4), one Fe(1), one Co(1), and one Ni(1) atom to form distorted OLiFeCoNi tetrahedra that share  a cornercorner with one O(2)LiFeCo2 tetrahedra,  a cornercorner with one O(6)LiFeCoNi tetrahedra, corners with two equivalent O(4)LiCo2Ni tetrahedra,  a cornercorner with one O(10)LiCoNi2 trigonal pyramid,  an edgeedge with one O(2)LiFeCo2 tetrahedra,  an edgeedge with one O(6)LiFeCoNi tetrahedra, and  an edgeedge with one O(3)LiCo2Ni trigonal pyramid. In the seventh O site, O(7) is bonded in a distorted rectangular see-saw-like geometry to one Li(2), one Fe(2), and two equivalent Co(1) atoms. In the eighth O site, O(8) is bonded in a rectangular see-saw-like geometry to one Li(3), one Fe(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 Co(2), and two equivalent Ni(2) atoms to form distorted OLiCoNi2 trigonal pyramids that share  a cornercorner with one O(2)LiFeCo2 tetrahedra, corners with two equivalent O(6)LiFeCoNi tetrahedra, corners with three equivalent O(5)LiCoNi2 tetrahedra, and  an edgeedge with one O(12)LiFeNi2 tetrahedra. In the eleventh O site, O(11) is bonded in a rectangular see-saw-like geometry to one Li(2), one Fe(2), one Co(1), and one Ni(1) atom. In the twelfth O site, O(12) is bonded to one Li(1), one Fe(2), and two equivalent Ni(2) atoms to form distorted OLiFeNi2 tetrahedra that share corners with two equivalent O(5)LiCoNi2 tetrahedra,  a cornercorner with one O(3)LiCo2Ni trigonal pyramid, and  an edgeedge with one O(10)LiCoNi2 trigonal pyramid. is represented by the Crystallographic Information File (CIF) [CIF]
data_Li4Fe2Co3Ni3O16
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.778
_cell_length_b   5.778
_cell_length_c   9.414
_cell_angle_alpha   88.599
_cell_angle_beta   88.599
_cell_angle_gamma   59.050
_symmetry_Int_Tables_number   1
_cell_volume   269.444
_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  0.662  0.662  0.105  1.0
  Li  Li1  1  0.998  0.998  0.004  1.0
  Li  Li2  1  0.004  0.004  0.502  1.0
  Li  Li3  1  0.334  0.334  0.605  1.0
  Fe  Fe4  1  0.673  0.673  0.508  1.0
  Fe  Fe5  1  0.332  0.332  0.014  1.0
  Co  Co6  1  0.336  0.829  0.787  1.0
  Co  Co7  1  0.829  0.336  0.787  1.0
  Co  Co8  1  0.170  0.170  0.287  1.0
  Ni  Ni9  1  0.829  0.829  0.786  1.0
  Ni  Ni10  1  0.170  0.662  0.285  1.0
  Ni  Ni11  1  0.662  0.170  0.285  1.0
  O  O12  1  0.331  0.853  0.399  1.0
  O  O13  1  0.519  0.519  0.671  1.0
  O  O14  1  0.660  0.660  0.892  1.0
  O  O15  1  0.003  0.003  0.691  1.0
  O  O16  1  0.005  0.005  0.194  1.0
  O  O17  1  0.853  0.331  0.399  1.0
  O  O18  1  0.510  0.962  0.668  1.0
  O  O19  1  0.962  0.510  0.668  1.0
  O  O20  1  0.158  0.158  0.890  1.0
  O  O21  1  0.843  0.843  0.400  1.0
  O  O22  1  0.031  0.468  0.161  1.0
  O  O23  1  0.468  0.031  0.161  1.0
  O  O24  1  0.331  0.331  0.388  1.0
  O  O25  1  0.169  0.675  0.896  1.0
  O  O26  1  0.479  0.479  0.164  1.0
  O  O27  1  0.675  0.169  0.896  1.0
[/CIF]
.