The compound described by Li4Nb2V3Co3O16 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 V(1)O6 octahedra, corners with two equivalent Co(1)O6 octahedra, corners with two equivalent Co(2)O6 octahedra, corners with three equivalent Nb(2)O6 octahedra, and corners with four equivalent V(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 45-66°. In the second Li site, Li(2) is bonded to one O(5), one O(7), and two equivalent O(11) atoms to form LiO4 tetrahedra that share  a cornercorner with one Co(2)O6 octahedra, corners with two equivalent V(2)O6 octahedra, corners with three equivalent Nb(2)O6 octahedra,  an edgeedge with one V(1)O6 octahedra, and edges with two equivalent Co(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 50-64°. 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 V(1)O6 octahedra, corners with two equivalent Co(1)O6 octahedra, corners with three equivalent Nb(1)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra, and edges with two equivalent V(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 63-66°. 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 Co(2)O6 octahedra, corners with two equivalent V(1)O6 octahedra, corners with two equivalent V(2)O6 octahedra, corners with three equivalent Nb(1)O6 octahedra, and corners with four equivalent Co(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 53-66°. There are two inequivalent Nb sites. In the first Nb site, Nb(1) is bonded to one O(2), one O(8), two equivalent O(1), and two equivalent O(6) atoms to form NbO6 octahedra that share corners with two equivalent Co(2)O6 octahedra, corners with four equivalent V(2)O6 octahedra, corners with three equivalent Li(4)O4 tetrahedra, corners with three equivalent Li(3)O4 trigonal pyramids,  an edgeedge with one V(1)O6 octahedra, and edges with two equivalent Co(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 50-53°. In the second Nb site, Nb(2) is bonded to one O(12), one O(7), two equivalent O(11), and two equivalent O(9) atoms to form distorted NbO6 octahedra that share corners with two equivalent V(1)O6 octahedra, corners with four equivalent Co(1)O6 octahedra, corners with three equivalent Li(1)O4 tetrahedra, corners with three equivalent Li(2)O4 tetrahedra,  an edgeedge with one Co(2)O6 octahedra, and edges with two equivalent V(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 51-54°. There are two inequivalent V sites. In the first V site, V(1) is bonded to one O(3), one O(4), two equivalent O(11), and two equivalent O(6) atoms to form VO6 octahedra that share corners with two equivalent Nb(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 Nb(1)O6 octahedra, edges with four equivalent Co(1)O6 octahedra, and  an edgeedge with one Li(2)O4 tetrahedra. The corner-sharing octahedral tilt angles are 51°. In the second V site, V(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 VO6 octahedra that share corners with two equivalent Nb(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 Nb(2)O6 octahedra, edges with two equivalent V(2)O6 octahedra, edges with two equivalent Co(2)O6 octahedra, and  an edgeedge with one Li(3)O4 trigonal pyramid. The corner-sharing octahedral tilt angles range from 52-53°. 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 Nb(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 Nb(1)O6 octahedra, edges with two equivalent V(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 52-54°. 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 Nb(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 Nb(2)O6 octahedra, edges with four equivalent V(2)O6 octahedra, and  an edgeedge with one Li(3)O4 trigonal pyramid. 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 Nb(1), one V(2), and one Co(2) atom. In the second O site, O(2) is bonded to one Li(4), one Nb(1), and two equivalent Co(1) atoms to form distorted corner-sharing OLiNbCo2 tetrahedra. In the third O site, O(3) is bonded in a rectangular see-saw-like geometry to one Li(1), one V(1), and two equivalent Co(1) atoms. In the fourth O site, O(4) is bonded to one Li(3), one V(1), and two equivalent Co(1) atoms to form corner-sharing OLiVCo2 tetrahedra. In the fifth O site, O(5) is bonded to one Li(2), two equivalent V(2), and one Co(2) atom to form distorted OLiV2Co tetrahedra that share corners with two equivalent O(12)LiNbV2 tetrahedra and corners with four equivalent O(9)LiNbVCo tetrahedra. In the sixth O site, O(6) is bonded in a rectangular see-saw-like geometry to one Li(4), one Nb(1), one V(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 Nb(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 Nb(1), and two equivalent V(2) atoms. In the ninth O site, O(9) is bonded to one Li(1), one Nb(2), one V(2), and one Co(2) atom to form distorted OLiNbVCo tetrahedra that share  a cornercorner with one O(12)LiNbV2 tetrahedra,  a cornercorner with one O(9)LiNbVCo tetrahedra, corners with two equivalent O(5)LiV2Co tetrahedra,  an edgeedge with one O(12)LiNbV2 tetrahedra, and  an edgeedge with one O(9)LiNbVCo tetrahedra. In the tenth O site, O(10) is bonded in a rectangular see-saw-like geometry to one Li(4), two equivalent V(2), and one Co(2) atom. In the eleventh O site, O(11) is bonded in a rectangular see-saw-like geometry to one Li(2), one Nb(2), one V(1), and one Co(1) atom. In the twelfth O site, O(12) is bonded to one Li(1), one Nb(2), and two equivalent V(2) atoms to form distorted OLiNbV2 tetrahedra that share corners with two equivalent O(9)LiNbVCo tetrahedra, corners with two equivalent O(5)LiV2Co tetrahedra, and edges with two equivalent O(9)LiNbVCo tetrahedra. is represented by the CIF card [CIF]
data_Li4Nb2V3Co3O16
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.990
_cell_length_b   5.990
_cell_length_c   9.788
_cell_angle_alpha   89.520
_cell_angle_beta   89.520
_cell_angle_gamma   59.798
_symmetry_Int_Tables_number   1
_cell_volume   303.507
_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  0.667  0.667  0.903  1.0
  Li  Li1  1  0.995  0.995  0.995  1.0
  Li  Li2  1  0.996  0.996  0.488  1.0
  Li  Li3  1  0.338  0.338  0.399  1.0
  Nb  Nb4  1  0.653  0.653  0.489  1.0
  Nb  Nb5  1  0.334  0.334  1.000  1.0
  V  V6  1  0.824  0.824  0.228  1.0
  V  V7  1  0.653  0.163  0.718  1.0
  V  V8  1  0.163  0.653  0.718  1.0
  Co  Co9  1  0.835  0.341  0.212  1.0
  Co  Co10  1  0.341  0.835  0.212  1.0
  Co  Co11  1  0.169  0.169  0.709  1.0
  O  O12  1  0.827  0.329  0.595  1.0
  O  O13  1  0.521  0.521  0.349  1.0
  O  O14  1  0.685  0.685  0.109  1.0
  O  O15  1  0.990  0.990  0.299  1.0
  O  O16  1  0.991  0.991  0.806  1.0
  O  O17  1  0.329  0.827  0.595  1.0
  O  O18  1  0.968  0.532  0.353  1.0
  O  O19  1  0.532  0.968  0.353  1.0
  O  O20  1  0.166  0.166  0.081  1.0
  O  O21  1  0.834  0.834  0.603  1.0
  O  O22  1  0.496  0.038  0.837  1.0
  O  O23  1  0.038  0.496  0.837  1.0
  O  O24  1  0.351  0.351  0.604  1.0
  O  O25  1  0.659  0.165  0.090  1.0
  O  O26  1  0.481  0.481  0.835  1.0
  O  O27  1  0.165  0.659  0.090  1.0
[/CIF]
.
The compound described by Li4Nb2V3Co3O16 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 V(1)O6 octahedra, corners with two equivalent Co(1)O6 octahedra, corners with two equivalent Co(2)O6 octahedra, corners with three equivalent Nb(2)O6 octahedra, and corners with four equivalent V(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 45-66°. In the second Li site, Li(2) is bonded to one O(5), one O(7), and two equivalent O(11) atoms to form LiO4 tetrahedra that share  a cornercorner with one Co(2)O6 octahedra, corners with two equivalent V(2)O6 octahedra, corners with three equivalent Nb(2)O6 octahedra,  an edgeedge with one V(1)O6 octahedra, and edges with two equivalent Co(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 50-64°. 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 V(1)O6 octahedra, corners with two equivalent Co(1)O6 octahedra, corners with three equivalent Nb(1)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra, and edges with two equivalent V(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 63-66°. 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 Co(2)O6 octahedra, corners with two equivalent V(1)O6 octahedra, corners with two equivalent V(2)O6 octahedra, corners with three equivalent Nb(1)O6 octahedra, and corners with four equivalent Co(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 53-66°. There are two inequivalent Nb sites. In the first Nb site, Nb(1) is bonded to one O(2), one O(8), two equivalent O(1), and two equivalent O(6) atoms to form NbO6 octahedra that share corners with two equivalent Co(2)O6 octahedra, corners with four equivalent V(2)O6 octahedra, corners with three equivalent Li(4)O4 tetrahedra, corners with three equivalent Li(3)O4 trigonal pyramids,  an edgeedge with one V(1)O6 octahedra, and edges with two equivalent Co(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 50-53°. In the second Nb site, Nb(2) is bonded to one O(12), one O(7), two equivalent O(11), and two equivalent O(9) atoms to form distorted NbO6 octahedra that share corners with two equivalent V(1)O6 octahedra, corners with four equivalent Co(1)O6 octahedra, corners with three equivalent Li(1)O4 tetrahedra, corners with three equivalent Li(2)O4 tetrahedra,  an edgeedge with one Co(2)O6 octahedra, and edges with two equivalent V(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 51-54°. There are two inequivalent V sites. In the first V site, V(1) is bonded to one O(3), one O(4), two equivalent O(11), and two equivalent O(6) atoms to form VO6 octahedra that share corners with two equivalent Nb(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 Nb(1)O6 octahedra, edges with four equivalent Co(1)O6 octahedra, and  an edgeedge with one Li(2)O4 tetrahedra. The corner-sharing octahedral tilt angles are 51°. In the second V site, V(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 VO6 octahedra that share corners with two equivalent Nb(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 Nb(2)O6 octahedra, edges with two equivalent V(2)O6 octahedra, edges with two equivalent Co(2)O6 octahedra, and  an edgeedge with one Li(3)O4 trigonal pyramid. The corner-sharing octahedral tilt angles range from 52-53°. 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 Nb(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 Nb(1)O6 octahedra, edges with two equivalent V(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 52-54°. 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 Nb(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 Nb(2)O6 octahedra, edges with four equivalent V(2)O6 octahedra, and  an edgeedge with one Li(3)O4 trigonal pyramid. 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 Nb(1), one V(2), and one Co(2) atom. In the second O site, O(2) is bonded to one Li(4), one Nb(1), and two equivalent Co(1) atoms to form distorted corner-sharing OLiNbCo2 tetrahedra. In the third O site, O(3) is bonded in a rectangular see-saw-like geometry to one Li(1), one V(1), and two equivalent Co(1) atoms. In the fourth O site, O(4) is bonded to one Li(3), one V(1), and two equivalent Co(1) atoms to form corner-sharing OLiVCo2 tetrahedra. In the fifth O site, O(5) is bonded to one Li(2), two equivalent V(2), and one Co(2) atom to form distorted OLiV2Co tetrahedra that share corners with two equivalent O(12)LiNbV2 tetrahedra and corners with four equivalent O(9)LiNbVCo tetrahedra. In the sixth O site, O(6) is bonded in a rectangular see-saw-like geometry to one Li(4), one Nb(1), one V(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 Nb(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 Nb(1), and two equivalent V(2) atoms. In the ninth O site, O(9) is bonded to one Li(1), one Nb(2), one V(2), and one Co(2) atom to form distorted OLiNbVCo tetrahedra that share  a cornercorner with one O(12)LiNbV2 tetrahedra,  a cornercorner with one O(9)LiNbVCo tetrahedra, corners with two equivalent O(5)LiV2Co tetrahedra,  an edgeedge with one O(12)LiNbV2 tetrahedra, and  an edgeedge with one O(9)LiNbVCo tetrahedra. In the tenth O site, O(10) is bonded in a rectangular see-saw-like geometry to one Li(4), two equivalent V(2), and one Co(2) atom. In the eleventh O site, O(11) is bonded in a rectangular see-saw-like geometry to one Li(2), one Nb(2), one V(1), and one Co(1) atom. In the twelfth O site, O(12) is bonded to one Li(1), one Nb(2), and two equivalent V(2) atoms to form distorted OLiNbV2 tetrahedra that share corners with two equivalent O(9)LiNbVCo tetrahedra, corners with two equivalent O(5)LiV2Co tetrahedra, and edges with two equivalent O(9)LiNbVCo tetrahedra. is represented by the CIF card [CIF]
data_Li4Nb2V3Co3O16
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.990
_cell_length_b   5.990
_cell_length_c   9.788
_cell_angle_alpha   89.520
_cell_angle_beta   89.520
_cell_angle_gamma   59.798
_symmetry_Int_Tables_number   1
_cell_volume   303.507
_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  0.667  0.667  0.903  1.0
  Li  Li1  1  0.995  0.995  0.995  1.0
  Li  Li2  1  0.996  0.996  0.488  1.0
  Li  Li3  1  0.338  0.338  0.399  1.0
  Nb  Nb4  1  0.653  0.653  0.489  1.0
  Nb  Nb5  1  0.334  0.334  1.000  1.0
  V  V6  1  0.824  0.824  0.228  1.0
  V  V7  1  0.653  0.163  0.718  1.0
  V  V8  1  0.163  0.653  0.718  1.0
  Co  Co9  1  0.835  0.341  0.212  1.0
  Co  Co10  1  0.341  0.835  0.212  1.0
  Co  Co11  1  0.169  0.169  0.709  1.0
  O  O12  1  0.827  0.329  0.595  1.0
  O  O13  1  0.521  0.521  0.349  1.0
  O  O14  1  0.685  0.685  0.109  1.0
  O  O15  1  0.990  0.990  0.299  1.0
  O  O16  1  0.991  0.991  0.806  1.0
  O  O17  1  0.329  0.827  0.595  1.0
  O  O18  1  0.968  0.532  0.353  1.0
  O  O19  1  0.532  0.968  0.353  1.0
  O  O20  1  0.166  0.166  0.081  1.0
  O  O21  1  0.834  0.834  0.603  1.0
  O  O22  1  0.496  0.038  0.837  1.0
  O  O23  1  0.038  0.496  0.837  1.0
  O  O24  1  0.351  0.351  0.604  1.0
  O  O25  1  0.659  0.165  0.090  1.0
  O  O26  1  0.481  0.481  0.835  1.0
  O  O27  1  0.165  0.659  0.090  1.0
[/CIF]
.