The compound described by Li4V2Cr3Co3O16 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 Co(1)O6 octahedra, corners with two equivalent Cr(1)O6 octahedra, corners with two equivalent Cr(2)O6 octahedra, corners with three equivalent V(2)O6 octahedra, and corners with four equivalent Co(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 56-64°. 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 Cr(2)O6 octahedra, corners with two equivalent Co(2)O6 octahedra, corners with three equivalent V(2)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra, and edges with two equivalent Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 55-65°. 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 Co(1)O6 octahedra, corners with two equivalent Cr(1)O6 octahedra, corners with three equivalent V(1)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra, and edges with two equivalent Co(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 55-65°. 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 Cr(2)O6 octahedra, corners with two equivalent Co(1)O6 octahedra, corners with two equivalent Co(2)O6 octahedra, corners with three equivalent V(1)O6 octahedra, and corners with four equivalent Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 58-62°. There are two inequivalent V sites. In the first V site, V(1) is bonded to one O(2), one O(8), two equivalent O(1), and two equivalent O(6) atoms to form VO6 octahedra that share corners with two equivalent Cr(2)O6 octahedra, corners with four equivalent Co(2)O6 octahedra, corners with three equivalent Li(3)O4 tetrahedra, corners with three equivalent Li(4)O4 tetrahedra,  an edgeedge with one Co(1)O6 octahedra, and edges with two equivalent Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 50-51°. In the second V site, V(2) is bonded to one O(12), one O(7), two equivalent O(11), and two equivalent O(9) atoms to form VO6 octahedra that share corners with two equivalent Co(1)O6 octahedra, corners with four equivalent Cr(1)O6 octahedra, corners with three equivalent Li(1)O4 tetrahedra, corners with three equivalent Li(2)O4 tetrahedra,  an edgeedge with one Cr(2)O6 octahedra, and edges with two equivalent Co(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 49-51°. 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 corners with two equivalent V(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 V(1)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, edges with two equivalent Co(1)O6 octahedra, and  an edgeedge with one Li(2)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 49-51°. 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 V(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 V(2)O6 octahedra, edges with four equivalent Co(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(3), one O(4), two equivalent O(11), and two equivalent O(6) atoms to form CoO6 octahedra that share corners with two equivalent V(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 V(1)O6 octahedra, edges with four equivalent Cr(1)O6 octahedra, and  an edgeedge with one Li(2)O4 tetrahedra. The corner-sharing octahedral tilt angles are 51°. In the second Co site, Co(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 CoO6 octahedra that share corners with two equivalent V(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 V(2)O6 octahedra, edges with two equivalent Cr(2)O6 octahedra, edges with two equivalent Co(2)O6 octahedra, and  an edgeedge with one Li(3)O4 tetrahedra. The corner-sharing octahedral tilt angles are 50°. 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 V(1), one Cr(2), and one Co(2) atom. In the second O site, O(2) is bonded to one Li(4), one V(1), and two equivalent Cr(1) atoms to form distorted corner-sharing OLiVCr2 tetrahedra. In the third O site, O(3) is bonded in a distorted rectangular see-saw-like geometry to one Li(1), two equivalent Cr(1), and one Co(1) atom. In the fourth O site, O(4) is bonded to one Li(3), two equivalent Cr(1), and one Co(1) atom to form corner-sharing OLiCr2Co tetrahedra. In the fifth O site, O(5) is bonded to one Li(2), one Cr(2), and two equivalent Co(2) atoms to form OLiCrCo2 tetrahedra that share corners with two equivalent O(12)LiVCo2 tetrahedra and corners with four equivalent O(9)LiVCrCo tetrahedra. In the sixth O site, O(6) is bonded in a distorted rectangular see-saw-like geometry to one Li(4), one V(1), one Cr(1), and one Co(1) atom. In the seventh O site, O(7) is bonded in a rectangular see-saw-like geometry to one Li(2), one V(2), and two equivalent Cr(1) atoms. In the eighth O site, O(8) is bonded in a distorted rectangular see-saw-like geometry to one Li(3), one V(1), and two equivalent Co(2) atoms. In the ninth O site, O(9) is bonded to one Li(1), one V(2), one Cr(2), and one Co(2) atom to form distorted OLiVCrCo tetrahedra that share  a cornercorner with one O(12)LiVCo2 tetrahedra,  a cornercorner with one O(9)LiVCrCo tetrahedra, corners with two equivalent O(5)LiCrCo2 tetrahedra,  an edgeedge with one O(12)LiVCo2 tetrahedra, and  an edgeedge with one O(9)LiVCrCo tetrahedra. In the tenth O site, O(10) is bonded in a rectangular see-saw-like geometry to one Li(4), one Cr(2), and two equivalent Co(2) atoms. In the eleventh O site, O(11) is bonded in a rectangular see-saw-like geometry to one Li(2), one V(2), one Cr(1), and one Co(1) atom. In the twelfth O site, O(12) is bonded to one Li(1), one V(2), and two equivalent Co(2) atoms to form distorted OLiVCo2 tetrahedra that share corners with two equivalent O(5)LiCrCo2 tetrahedra, corners with two equivalent O(9)LiVCrCo tetrahedra, and edges with two equivalent O(9)LiVCrCo tetrahedra. is represented by the CIF card [CIF]
data_Li4V2Cr3Co3O16
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.824
_cell_length_b   5.824
_cell_length_c   9.304
_cell_angle_alpha   89.758
_cell_angle_beta   89.758
_cell_angle_gamma   60.054
_symmetry_Int_Tables_number   1
_cell_volume   273.436
_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  0.331  0.331  0.107  1.0
  Li  Li1  1  0.006  0.006  0.008  1.0
  Li  Li2  1  0.005  0.005  0.502  1.0
  Li  Li3  1  0.664  0.664  0.601  1.0
  V  V4  1  0.333  0.333  0.502  1.0
  V  V5  1  0.667  0.667  0.007  1.0
  Cr  Cr6  1  0.656  0.171  0.785  1.0
  Cr  Cr7  1  0.171  0.656  0.785  1.0
  Cr  Cr8  1  0.828  0.828  0.284  1.0
  Co  Co9  1  0.173  0.173  0.782  1.0
  Co  Co10  1  0.828  0.345  0.285  1.0
  Co  Co11  1  0.345  0.828  0.285  1.0
  O  O12  1  0.654  0.176  0.407  1.0
  O  O13  1  0.477  0.477  0.653  1.0
  O  O14  1  0.332  0.332  0.899  1.0
  O  O15  1  0.001  0.001  0.691  1.0
  O  O16  1  0.006  0.006  0.195  1.0
  O  O17  1  0.176  0.654  0.407  1.0
  O  O18  1  0.478  0.041  0.652  1.0
  O  O19  1  0.041  0.478  0.652  1.0
  O  O20  1  0.828  0.828  0.912  1.0
  O  O21  1  0.175  0.175  0.402  1.0
  O  O22  1  0.953  0.515  0.157  1.0
  O  O23  1  0.515  0.953  0.157  1.0
  O  O24  1  0.661  0.661  0.391  1.0
  O  O25  1  0.822  0.350  0.910  1.0
  O  O26  1  0.523  0.523  0.164  1.0
  O  O27  1  0.350  0.822  0.910  1.0
[/CIF]
.
The compound described by Li4V2Cr3Co3O16 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 Co(1)O6 octahedra, corners with two equivalent Cr(1)O6 octahedra, corners with two equivalent Cr(2)O6 octahedra, corners with three equivalent V(2)O6 octahedra, and corners with four equivalent Co(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 56-64°. 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 Cr(2)O6 octahedra, corners with two equivalent Co(2)O6 octahedra, corners with three equivalent V(2)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra, and edges with two equivalent Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 55-65°. 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 Co(1)O6 octahedra, corners with two equivalent Cr(1)O6 octahedra, corners with three equivalent V(1)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra, and edges with two equivalent Co(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 55-65°. 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 Cr(2)O6 octahedra, corners with two equivalent Co(1)O6 octahedra, corners with two equivalent Co(2)O6 octahedra, corners with three equivalent V(1)O6 octahedra, and corners with four equivalent Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 58-62°. There are two inequivalent V sites. In the first V site, V(1) is bonded to one O(2), one O(8), two equivalent O(1), and two equivalent O(6) atoms to form VO6 octahedra that share corners with two equivalent Cr(2)O6 octahedra, corners with four equivalent Co(2)O6 octahedra, corners with three equivalent Li(3)O4 tetrahedra, corners with three equivalent Li(4)O4 tetrahedra,  an edgeedge with one Co(1)O6 octahedra, and edges with two equivalent Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 50-51°. In the second V site, V(2) is bonded to one O(12), one O(7), two equivalent O(11), and two equivalent O(9) atoms to form VO6 octahedra that share corners with two equivalent Co(1)O6 octahedra, corners with four equivalent Cr(1)O6 octahedra, corners with three equivalent Li(1)O4 tetrahedra, corners with three equivalent Li(2)O4 tetrahedra,  an edgeedge with one Cr(2)O6 octahedra, and edges with two equivalent Co(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 49-51°. 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 corners with two equivalent V(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 V(1)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, edges with two equivalent Co(1)O6 octahedra, and  an edgeedge with one Li(2)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 49-51°. 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 V(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 V(2)O6 octahedra, edges with four equivalent Co(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(3), one O(4), two equivalent O(11), and two equivalent O(6) atoms to form CoO6 octahedra that share corners with two equivalent V(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 V(1)O6 octahedra, edges with four equivalent Cr(1)O6 octahedra, and  an edgeedge with one Li(2)O4 tetrahedra. The corner-sharing octahedral tilt angles are 51°. In the second Co site, Co(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 CoO6 octahedra that share corners with two equivalent V(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 V(2)O6 octahedra, edges with two equivalent Cr(2)O6 octahedra, edges with two equivalent Co(2)O6 octahedra, and  an edgeedge with one Li(3)O4 tetrahedra. The corner-sharing octahedral tilt angles are 50°. 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 V(1), one Cr(2), and one Co(2) atom. In the second O site, O(2) is bonded to one Li(4), one V(1), and two equivalent Cr(1) atoms to form distorted corner-sharing OLiVCr2 tetrahedra. In the third O site, O(3) is bonded in a distorted rectangular see-saw-like geometry to one Li(1), two equivalent Cr(1), and one Co(1) atom. In the fourth O site, O(4) is bonded to one Li(3), two equivalent Cr(1), and one Co(1) atom to form corner-sharing OLiCr2Co tetrahedra. In the fifth O site, O(5) is bonded to one Li(2), one Cr(2), and two equivalent Co(2) atoms to form OLiCrCo2 tetrahedra that share corners with two equivalent O(12)LiVCo2 tetrahedra and corners with four equivalent O(9)LiVCrCo tetrahedra. In the sixth O site, O(6) is bonded in a distorted rectangular see-saw-like geometry to one Li(4), one V(1), one Cr(1), and one Co(1) atom. In the seventh O site, O(7) is bonded in a rectangular see-saw-like geometry to one Li(2), one V(2), and two equivalent Cr(1) atoms. In the eighth O site, O(8) is bonded in a distorted rectangular see-saw-like geometry to one Li(3), one V(1), and two equivalent Co(2) atoms. In the ninth O site, O(9) is bonded to one Li(1), one V(2), one Cr(2), and one Co(2) atom to form distorted OLiVCrCo tetrahedra that share  a cornercorner with one O(12)LiVCo2 tetrahedra,  a cornercorner with one O(9)LiVCrCo tetrahedra, corners with two equivalent O(5)LiCrCo2 tetrahedra,  an edgeedge with one O(12)LiVCo2 tetrahedra, and  an edgeedge with one O(9)LiVCrCo tetrahedra. In the tenth O site, O(10) is bonded in a rectangular see-saw-like geometry to one Li(4), one Cr(2), and two equivalent Co(2) atoms. In the eleventh O site, O(11) is bonded in a rectangular see-saw-like geometry to one Li(2), one V(2), one Cr(1), and one Co(1) atom. In the twelfth O site, O(12) is bonded to one Li(1), one V(2), and two equivalent Co(2) atoms to form distorted OLiVCo2 tetrahedra that share corners with two equivalent O(5)LiCrCo2 tetrahedra, corners with two equivalent O(9)LiVCrCo tetrahedra, and edges with two equivalent O(9)LiVCrCo tetrahedra. is represented by the CIF card [CIF]
data_Li4V2Cr3Co3O16
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.824
_cell_length_b   5.824
_cell_length_c   9.304
_cell_angle_alpha   89.758
_cell_angle_beta   89.758
_cell_angle_gamma   60.054
_symmetry_Int_Tables_number   1
_cell_volume   273.436
_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  0.331  0.331  0.107  1.0
  Li  Li1  1  0.006  0.006  0.008  1.0
  Li  Li2  1  0.005  0.005  0.502  1.0
  Li  Li3  1  0.664  0.664  0.601  1.0
  V  V4  1  0.333  0.333  0.502  1.0
  V  V5  1  0.667  0.667  0.007  1.0
  Cr  Cr6  1  0.656  0.171  0.785  1.0
  Cr  Cr7  1  0.171  0.656  0.785  1.0
  Cr  Cr8  1  0.828  0.828  0.284  1.0
  Co  Co9  1  0.173  0.173  0.782  1.0
  Co  Co10  1  0.828  0.345  0.285  1.0
  Co  Co11  1  0.345  0.828  0.285  1.0
  O  O12  1  0.654  0.176  0.407  1.0
  O  O13  1  0.477  0.477  0.653  1.0
  O  O14  1  0.332  0.332  0.899  1.0
  O  O15  1  0.001  0.001  0.691  1.0
  O  O16  1  0.006  0.006  0.195  1.0
  O  O17  1  0.176  0.654  0.407  1.0
  O  O18  1  0.478  0.041  0.652  1.0
  O  O19  1  0.041  0.478  0.652  1.0
  O  O20  1  0.828  0.828  0.912  1.0
  O  O21  1  0.175  0.175  0.402  1.0
  O  O22  1  0.953  0.515  0.157  1.0
  O  O23  1  0.515  0.953  0.157  1.0
  O  O24  1  0.661  0.661  0.391  1.0
  O  O25  1  0.822  0.350  0.910  1.0
  O  O26  1  0.523  0.523  0.164  1.0
  O  O27  1  0.350  0.822  0.910  1.0
[/CIF]
.