The compound described by Li4V2Cr3Ni3O16 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 Ni(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 Ni(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 53-65°. 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 Ni(2)O6 octahedra, corners with three equivalent V(2)O6 octahedra,  an edgeedge with one Ni(1)O6 octahedra, and edges with two equivalent Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 60-70°. In the third Li site, Li(3) is bonded to one O(4), one O(8), and two equivalent O(1) atoms to form LiO4 tetrahedra that share  a cornercorner with one Ni(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 Ni(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 49-66°. 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 Ni(1)O6 octahedra, corners with two equivalent Ni(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 45-64°. 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 distorted VO6 octahedra that share corners with two equivalent Cr(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 Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 50-52°. 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 Ni(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 Ni(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 48-52°. 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 Ni(1)O6 octahedra, and  an edgeedge with one Li(2)O4 tetrahedra. The corner-sharing octahedral tilt angles are 52°. 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 distorted 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 Ni(2)O6 octahedra, and  an edgeedge with one Li(3)O4 tetrahedra. The corner-sharing octahedral tilt angles are 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 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 48°. 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 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 Ni(2)O6 octahedra, and  an edgeedge with one Li(3)O4 tetrahedra. The corner-sharing octahedral tilt angles are 52°. There are twelve inequivalent O sites. In the first O site, O(1) is bonded in a distorted rectangular see-saw-like geometry to one Li(3), one V(1), one Cr(2), and one Ni(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 OLiVCr2 tetrahedra that share corners with two equivalent O(4)LiCr2Ni tetrahedra, corners with two equivalent O(6)LiVCrNi tetrahedra, and edges with two equivalent O(6)LiVCrNi tetrahedra. In the third O site, O(3) is bonded in a rectangular see-saw-like geometry to one Li(1), two equivalent Cr(1), and one Ni(1) atom. In the fourth O site, O(4) is bonded to one Li(3), two equivalent Cr(1), and one Ni(1) atom to form OLiCr2Ni tetrahedra that share corners with two equivalent O(2)LiVCr2 tetrahedra and corners with four equivalent O(6)LiVCrNi tetrahedra. In the fifth O site, O(5) is bonded to one Li(2), one Cr(2), and two equivalent Ni(2) atoms to form corner-sharing OLiCrNi2 tetrahedra. In the sixth O site, O(6) is bonded to one Li(4), one V(1), one Cr(1), and one Ni(1) atom to form distorted OLiVCrNi tetrahedra that share  a cornercorner with one O(2)LiVCr2 tetrahedra,  a cornercorner with one O(6)LiVCrNi tetrahedra, corners with two equivalent O(4)LiCr2Ni tetrahedra,  an edgeedge with one O(2)LiVCr2 tetrahedra, and  an edgeedge with one O(6)LiVCrNi tetrahedra. 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 Ni(2) atoms. In the ninth O site, O(9) is bonded in a rectangular see-saw-like geometry to one Li(1), one V(2), one Cr(2), and one Ni(2) atom. 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 Ni(2) atoms. In the eleventh O site, O(11) is bonded in a distorted rectangular see-saw-like geometry to one Li(2), one V(2), one Cr(1), and one Ni(1) atom. In the twelfth O site, O(12) is bonded to one Li(1), one V(2), and two equivalent Ni(2) atoms to form distorted corner-sharing OLiVNi2 tetrahedra. is represented by the CIF file [CIF]
data_Li4V2Cr3Ni3O16
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.874
_cell_length_b   5.874
_cell_length_c   9.446
_cell_angle_alpha   89.803
_cell_angle_beta   89.803
_cell_angle_gamma   59.932
_symmetry_Int_Tables_number   1
_cell_volume   282.087
_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  0.102  1.0
  Li  Li1  1  0.004  0.004  0.013  1.0
  Li  Li2  1  1.000  1.000  0.504  1.0
  Li  Li3  1  0.336  0.336  0.600  1.0
  V  V4  1  0.665  0.665  0.497  1.0
  V  V5  1  0.347  0.347  0.007  1.0
  Cr  Cr6  1  0.349  0.840  0.780  1.0
  Cr  Cr7  1  0.840  0.349  0.780  1.0
  Cr  Cr8  1  0.177  0.177  0.270  1.0
  Ni  Ni9  1  0.830  0.830  0.792  1.0
  Ni  Ni10  1  0.167  0.654  0.290  1.0
  Ni  Ni11  1  0.654  0.167  0.290  1.0
  O  O12  1  0.351  0.827  0.411  1.0
  O  O13  1  0.522  0.522  0.657  1.0
  O  O14  1  0.652  0.652  0.895  1.0
  O  O15  1  0.007  0.007  0.699  1.0
  O  O16  1  0.006  0.006  0.205  1.0
  O  O17  1  0.827  0.351  0.411  1.0
  O  O18  1  0.513  0.958  0.658  1.0
  O  O19  1  0.958  0.513  0.658  1.0
  O  O20  1  0.173  0.173  0.901  1.0
  O  O21  1  0.824  0.824  0.418  1.0
  O  O22  1  0.037  0.466  0.148  1.0
  O  O23  1  0.466  0.037  0.148  1.0
  O  O24  1  0.317  0.317  0.396  1.0
  O  O25  1  0.176  0.657  0.909  1.0
  O  O26  1  0.473  0.473  0.145  1.0
  O  O27  1  0.657  0.176  0.909  1.0
[/CIF]
.
The compound described by Li4V2Cr3Ni3O16 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 Ni(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 Ni(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 53-65°. 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 Ni(2)O6 octahedra, corners with three equivalent V(2)O6 octahedra,  an edgeedge with one Ni(1)O6 octahedra, and edges with two equivalent Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 60-70°. In the third Li site, Li(3) is bonded to one O(4), one O(8), and two equivalent O(1) atoms to form LiO4 tetrahedra that share  a cornercorner with one Ni(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 Ni(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 49-66°. 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 Ni(1)O6 octahedra, corners with two equivalent Ni(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 45-64°. 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 distorted VO6 octahedra that share corners with two equivalent Cr(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 Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 50-52°. 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 Ni(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 Ni(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 48-52°. 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 Ni(1)O6 octahedra, and  an edgeedge with one Li(2)O4 tetrahedra. The corner-sharing octahedral tilt angles are 52°. 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 distorted 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 Ni(2)O6 octahedra, and  an edgeedge with one Li(3)O4 tetrahedra. The corner-sharing octahedral tilt angles are 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 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 48°. 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 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 Ni(2)O6 octahedra, and  an edgeedge with one Li(3)O4 tetrahedra. The corner-sharing octahedral tilt angles are 52°. There are twelve inequivalent O sites. In the first O site, O(1) is bonded in a distorted rectangular see-saw-like geometry to one Li(3), one V(1), one Cr(2), and one Ni(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 OLiVCr2 tetrahedra that share corners with two equivalent O(4)LiCr2Ni tetrahedra, corners with two equivalent O(6)LiVCrNi tetrahedra, and edges with two equivalent O(6)LiVCrNi tetrahedra. In the third O site, O(3) is bonded in a rectangular see-saw-like geometry to one Li(1), two equivalent Cr(1), and one Ni(1) atom. In the fourth O site, O(4) is bonded to one Li(3), two equivalent Cr(1), and one Ni(1) atom to form OLiCr2Ni tetrahedra that share corners with two equivalent O(2)LiVCr2 tetrahedra and corners with four equivalent O(6)LiVCrNi tetrahedra. In the fifth O site, O(5) is bonded to one Li(2), one Cr(2), and two equivalent Ni(2) atoms to form corner-sharing OLiCrNi2 tetrahedra. In the sixth O site, O(6) is bonded to one Li(4), one V(1), one Cr(1), and one Ni(1) atom to form distorted OLiVCrNi tetrahedra that share  a cornercorner with one O(2)LiVCr2 tetrahedra,  a cornercorner with one O(6)LiVCrNi tetrahedra, corners with two equivalent O(4)LiCr2Ni tetrahedra,  an edgeedge with one O(2)LiVCr2 tetrahedra, and  an edgeedge with one O(6)LiVCrNi tetrahedra. 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 Ni(2) atoms. In the ninth O site, O(9) is bonded in a rectangular see-saw-like geometry to one Li(1), one V(2), one Cr(2), and one Ni(2) atom. 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 Ni(2) atoms. In the eleventh O site, O(11) is bonded in a distorted rectangular see-saw-like geometry to one Li(2), one V(2), one Cr(1), and one Ni(1) atom. In the twelfth O site, O(12) is bonded to one Li(1), one V(2), and two equivalent Ni(2) atoms to form distorted corner-sharing OLiVNi2 tetrahedra. is represented by the CIF file [CIF]
data_Li4V2Cr3Ni3O16
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.874
_cell_length_b   5.874
_cell_length_c   9.446
_cell_angle_alpha   89.803
_cell_angle_beta   89.803
_cell_angle_gamma   59.932
_symmetry_Int_Tables_number   1
_cell_volume   282.087
_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  0.102  1.0
  Li  Li1  1  0.004  0.004  0.013  1.0
  Li  Li2  1  1.000  1.000  0.504  1.0
  Li  Li3  1  0.336  0.336  0.600  1.0
  V  V4  1  0.665  0.665  0.497  1.0
  V  V5  1  0.347  0.347  0.007  1.0
  Cr  Cr6  1  0.349  0.840  0.780  1.0
  Cr  Cr7  1  0.840  0.349  0.780  1.0
  Cr  Cr8  1  0.177  0.177  0.270  1.0
  Ni  Ni9  1  0.830  0.830  0.792  1.0
  Ni  Ni10  1  0.167  0.654  0.290  1.0
  Ni  Ni11  1  0.654  0.167  0.290  1.0
  O  O12  1  0.351  0.827  0.411  1.0
  O  O13  1  0.522  0.522  0.657  1.0
  O  O14  1  0.652  0.652  0.895  1.0
  O  O15  1  0.007  0.007  0.699  1.0
  O  O16  1  0.006  0.006  0.205  1.0
  O  O17  1  0.827  0.351  0.411  1.0
  O  O18  1  0.513  0.958  0.658  1.0
  O  O19  1  0.958  0.513  0.658  1.0
  O  O20  1  0.173  0.173  0.901  1.0
  O  O21  1  0.824  0.824  0.418  1.0
  O  O22  1  0.037  0.466  0.148  1.0
  O  O23  1  0.466  0.037  0.148  1.0
  O  O24  1  0.317  0.317  0.396  1.0
  O  O25  1  0.176  0.657  0.909  1.0
  O  O26  1  0.473  0.473  0.145  1.0
  O  O27  1  0.657  0.176  0.909  1.0
[/CIF]
.