The material structure described by Li4Nb3V3(FeO8)2 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 Nb(1)O6 octahedra, corners with two equivalent V(1)O6 octahedra, corners with two equivalent V(2)O6 octahedra, corners with three equivalent Fe(2)O6 octahedra, and corners with four equivalent Nb(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 55-67°. 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 Nb(1)O6 octahedra, corners with two equivalent V(1)O6 octahedra, corners with three equivalent Fe(1)O6 octahedra,  an edgeedge with one V(2)O6 octahedra, and edges with two equivalent Nb(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 54-65°. 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 V(2)O6 octahedra, corners with two equivalent Nb(1)O6 octahedra, corners with two equivalent Nb(2)O6 octahedra, corners with three equivalent Fe(1)O6 octahedra, and corners with four equivalent V(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 52-65°. There are two inequivalent Nb sites. In the first Nb site, Nb(1) is bonded to one O(3), one O(4), two equivalent O(11), and two equivalent O(6) atoms to form NbO6 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 V(1)O6 octahedra. The corner-sharing octahedral tilt angles are 54°. In the second Nb site, Nb(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 NbO6 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 Nb(2)O6 octahedra, edges with two equivalent V(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 V sites. In the first V site, V(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 VO6 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 Nb(1)O6 octahedra, and edges with two equivalent V(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 53-54°. In the second V site, V(2) is bonded to one O(10), one O(5), two equivalent O(1), and two equivalent O(9) atoms to form VO6 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 Nb(2)O6 octahedra, and  an edgeedge with one Li(3)O4 trigonal pyramid. The corner-sharing octahedral tilt angles are 51°. 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 V(2)O6 octahedra, corners with four equivalent Nb(2)O6 octahedra, corners with three equivalent Li(4)O4 tetrahedra, corners with three equivalent Li(3)O4 trigonal pyramids,  an edgeedge with one Nb(1)O6 octahedra, and edges with two equivalent V(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 51-53°. 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 distorted FeO6 octahedra that share corners with two equivalent Nb(1)O6 octahedra, corners with four equivalent V(1)O6 octahedra, corners with three equivalent Li(1)O4 tetrahedra,  an edgeedge with one V(2)O6 octahedra, and edges with two equivalent Nb(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 53-54°. 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(2), one V(2), and one Fe(1) atom. In the second O site, O(2) is bonded to one Li(4), two equivalent V(1), and one Fe(1) atom to form distorted OLiV2Fe tetrahedra that share corners with two equivalent O(4)LiNbV2 tetrahedra and corners with two equivalent O(7)LiV2Fe trigonal pyramids. In the third O site, O(3) is bonded in a rectangular see-saw-like geometry to one Li(1), one Nb(1), and two equivalent V(1) atoms. In the fourth O site, O(4) is bonded to one Li(3), one Nb(1), and two equivalent V(1) atoms to form a mixture of distorted corner and edge-sharing OLiNbV2 tetrahedra. In the fifth O site, O(5) is bonded to one Li(2), two equivalent Nb(2), and one V(2) atom to form distorted OLiNb2V tetrahedra that share corners with two equivalent O(12)LiNb2Fe tetrahedra, corners with four equivalent O(9)LiNbVFe tetrahedra, and  a cornercorner with one O(7)LiV2Fe trigonal pyramid. 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 Fe(1) atom. In the seventh O site, O(7) is bonded to one Li(2), two equivalent V(1), and one Fe(2) atom to form distorted OLiV2Fe trigonal pyramids that share  a cornercorner with one O(12)LiNb2Fe tetrahedra,  a cornercorner with one O(5)LiNb2V tetrahedra, corners with two equivalent O(9)LiNbVFe tetrahedra, corners with two equivalent O(2)LiV2Fe tetrahedra, and  an edgeedge with one O(4)LiNbV2 tetrahedra. In the eighth O site, O(8) is bonded in a distorted rectangular see-saw-like geometry to one Li(3), two equivalent Nb(2), and one Fe(1) atom. In the ninth O site, O(9) is bonded to one Li(1), one Nb(2), one V(2), and one Fe(2) atom to form distorted OLiNbVFe tetrahedra that share  a cornercorner with one O(12)LiNb2Fe tetrahedra,  a cornercorner with one O(9)LiNbVFe tetrahedra, corners with two equivalent O(5)LiNb2V tetrahedra,  a cornercorner with one O(7)LiV2Fe trigonal pyramid,  an edgeedge with one O(12)LiNb2Fe tetrahedra, and  an edgeedge with one O(9)LiNbVFe tetrahedra. In the tenth O site, O(10) is bonded in a rectangular see-saw-like geometry to one Li(4), two equivalent Nb(2), and one V(2) atom. In the eleventh O site, O(11) is bonded in a rectangular see-saw-like geometry to one Li(2), one Nb(1), one V(1), and one Fe(2) atom. In the twelfth O site, O(12) is bonded to one Li(1), two equivalent Nb(2), and one Fe(2) atom to form distorted OLiNb2Fe tetrahedra that share corners with two equivalent O(5)LiNb2V tetrahedra, corners with two equivalent O(9)LiNbVFe tetrahedra,  a cornercorner with one O(7)LiV2Fe trigonal pyramid, and edges with two equivalent O(9)LiNbVFe tetrahedra. is represented by the CIF file [CIF]
data_Li4Nb3V3(FeO8)2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.085
_cell_length_b   6.085
_cell_length_c   9.895
_cell_angle_alpha   89.371
_cell_angle_beta   89.371
_cell_angle_gamma   60.604
_symmetry_Int_Tables_number   1
_cell_volume   319.145
_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  0.332  0.332  0.099  1.0
  Li  Li1  1  0.993  0.993  0.001  1.0
  Li  Li2  1  0.988  0.988  0.506  1.0
  Li  Li3  1  0.666  0.666  0.614  1.0
  Nb  Nb4  1  0.170  0.170  0.786  1.0
  Nb  Nb5  1  0.836  0.343  0.287  1.0
  Nb  Nb6  1  0.343  0.836  0.287  1.0
  V  V7  1  0.664  0.167  0.785  1.0
  V  V8  1  0.167  0.664  0.785  1.0
  V  V9  1  0.827  0.827  0.290  1.0
  Fe  Fe10  1  0.348  0.348  0.520  1.0
  Fe  Fe11  1  0.674  0.674  0.997  1.0
  O  O12  1  0.674  0.175  0.403  1.0
  O  O13  1  0.481  0.481  0.663  1.0
  O  O14  1  0.328  0.328  0.898  1.0
  O  O15  1  0.004  0.004  0.684  1.0
  O  O16  1  0.003  0.003  0.188  1.0
  O  O17  1  0.175  0.674  0.403  1.0
  O  O18  1  0.476  0.042  0.657  1.0
  O  O19  1  0.042  0.476  0.657  1.0
  O  O20  1  0.841  0.841  0.890  1.0
  O  O21  1  0.162  0.162  0.400  1.0
  O  O22  1  0.969  0.502  0.164  1.0
  O  O23  1  0.502  0.969  0.164  1.0
  O  O24  1  0.658  0.658  0.404  1.0
  O  O25  1  0.847  0.316  0.894  1.0
  O  O26  1  0.516  0.516  0.173  1.0
  O  O27  1  0.316  0.847  0.894  1.0
[/CIF]
.
The material structure described by Li4Nb3V3(FeO8)2 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 Nb(1)O6 octahedra, corners with two equivalent V(1)O6 octahedra, corners with two equivalent V(2)O6 octahedra, corners with three equivalent Fe(2)O6 octahedra, and corners with four equivalent Nb(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 55-67°. 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 Nb(1)O6 octahedra, corners with two equivalent V(1)O6 octahedra, corners with three equivalent Fe(1)O6 octahedra,  an edgeedge with one V(2)O6 octahedra, and edges with two equivalent Nb(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 54-65°. 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 V(2)O6 octahedra, corners with two equivalent Nb(1)O6 octahedra, corners with two equivalent Nb(2)O6 octahedra, corners with three equivalent Fe(1)O6 octahedra, and corners with four equivalent V(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 52-65°. There are two inequivalent Nb sites. In the first Nb site, Nb(1) is bonded to one O(3), one O(4), two equivalent O(11), and two equivalent O(6) atoms to form NbO6 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 V(1)O6 octahedra. The corner-sharing octahedral tilt angles are 54°. In the second Nb site, Nb(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 NbO6 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 Nb(2)O6 octahedra, edges with two equivalent V(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 V sites. In the first V site, V(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 VO6 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 Nb(1)O6 octahedra, and edges with two equivalent V(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 53-54°. In the second V site, V(2) is bonded to one O(10), one O(5), two equivalent O(1), and two equivalent O(9) atoms to form VO6 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 Nb(2)O6 octahedra, and  an edgeedge with one Li(3)O4 trigonal pyramid. The corner-sharing octahedral tilt angles are 51°. 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 V(2)O6 octahedra, corners with four equivalent Nb(2)O6 octahedra, corners with three equivalent Li(4)O4 tetrahedra, corners with three equivalent Li(3)O4 trigonal pyramids,  an edgeedge with one Nb(1)O6 octahedra, and edges with two equivalent V(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 51-53°. 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 distorted FeO6 octahedra that share corners with two equivalent Nb(1)O6 octahedra, corners with four equivalent V(1)O6 octahedra, corners with three equivalent Li(1)O4 tetrahedra,  an edgeedge with one V(2)O6 octahedra, and edges with two equivalent Nb(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 53-54°. 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(2), one V(2), and one Fe(1) atom. In the second O site, O(2) is bonded to one Li(4), two equivalent V(1), and one Fe(1) atom to form distorted OLiV2Fe tetrahedra that share corners with two equivalent O(4)LiNbV2 tetrahedra and corners with two equivalent O(7)LiV2Fe trigonal pyramids. In the third O site, O(3) is bonded in a rectangular see-saw-like geometry to one Li(1), one Nb(1), and two equivalent V(1) atoms. In the fourth O site, O(4) is bonded to one Li(3), one Nb(1), and two equivalent V(1) atoms to form a mixture of distorted corner and edge-sharing OLiNbV2 tetrahedra. In the fifth O site, O(5) is bonded to one Li(2), two equivalent Nb(2), and one V(2) atom to form distorted OLiNb2V tetrahedra that share corners with two equivalent O(12)LiNb2Fe tetrahedra, corners with four equivalent O(9)LiNbVFe tetrahedra, and  a cornercorner with one O(7)LiV2Fe trigonal pyramid. 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 Fe(1) atom. In the seventh O site, O(7) is bonded to one Li(2), two equivalent V(1), and one Fe(2) atom to form distorted OLiV2Fe trigonal pyramids that share  a cornercorner with one O(12)LiNb2Fe tetrahedra,  a cornercorner with one O(5)LiNb2V tetrahedra, corners with two equivalent O(9)LiNbVFe tetrahedra, corners with two equivalent O(2)LiV2Fe tetrahedra, and  an edgeedge with one O(4)LiNbV2 tetrahedra. In the eighth O site, O(8) is bonded in a distorted rectangular see-saw-like geometry to one Li(3), two equivalent Nb(2), and one Fe(1) atom. In the ninth O site, O(9) is bonded to one Li(1), one Nb(2), one V(2), and one Fe(2) atom to form distorted OLiNbVFe tetrahedra that share  a cornercorner with one O(12)LiNb2Fe tetrahedra,  a cornercorner with one O(9)LiNbVFe tetrahedra, corners with two equivalent O(5)LiNb2V tetrahedra,  a cornercorner with one O(7)LiV2Fe trigonal pyramid,  an edgeedge with one O(12)LiNb2Fe tetrahedra, and  an edgeedge with one O(9)LiNbVFe tetrahedra. In the tenth O site, O(10) is bonded in a rectangular see-saw-like geometry to one Li(4), two equivalent Nb(2), and one V(2) atom. In the eleventh O site, O(11) is bonded in a rectangular see-saw-like geometry to one Li(2), one Nb(1), one V(1), and one Fe(2) atom. In the twelfth O site, O(12) is bonded to one Li(1), two equivalent Nb(2), and one Fe(2) atom to form distorted OLiNb2Fe tetrahedra that share corners with two equivalent O(5)LiNb2V tetrahedra, corners with two equivalent O(9)LiNbVFe tetrahedra,  a cornercorner with one O(7)LiV2Fe trigonal pyramid, and edges with two equivalent O(9)LiNbVFe tetrahedra. is represented by the CIF file [CIF]
data_Li4Nb3V3(FeO8)2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.085
_cell_length_b   6.085
_cell_length_c   9.895
_cell_angle_alpha   89.371
_cell_angle_beta   89.371
_cell_angle_gamma   60.604
_symmetry_Int_Tables_number   1
_cell_volume   319.145
_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  0.332  0.332  0.099  1.0
  Li  Li1  1  0.993  0.993  0.001  1.0
  Li  Li2  1  0.988  0.988  0.506  1.0
  Li  Li3  1  0.666  0.666  0.614  1.0
  Nb  Nb4  1  0.170  0.170  0.786  1.0
  Nb  Nb5  1  0.836  0.343  0.287  1.0
  Nb  Nb6  1  0.343  0.836  0.287  1.0
  V  V7  1  0.664  0.167  0.785  1.0
  V  V8  1  0.167  0.664  0.785  1.0
  V  V9  1  0.827  0.827  0.290  1.0
  Fe  Fe10  1  0.348  0.348  0.520  1.0
  Fe  Fe11  1  0.674  0.674  0.997  1.0
  O  O12  1  0.674  0.175  0.403  1.0
  O  O13  1  0.481  0.481  0.663  1.0
  O  O14  1  0.328  0.328  0.898  1.0
  O  O15  1  0.004  0.004  0.684  1.0
  O  O16  1  0.003  0.003  0.188  1.0
  O  O17  1  0.175  0.674  0.403  1.0
  O  O18  1  0.476  0.042  0.657  1.0
  O  O19  1  0.042  0.476  0.657  1.0
  O  O20  1  0.841  0.841  0.890  1.0
  O  O21  1  0.162  0.162  0.400  1.0
  O  O22  1  0.969  0.502  0.164  1.0
  O  O23  1  0.502  0.969  0.164  1.0
  O  O24  1  0.658  0.658  0.404  1.0
  O  O25  1  0.847  0.316  0.894  1.0
  O  O26  1  0.516  0.516  0.173  1.0
  O  O27  1  0.316  0.847  0.894  1.0
[/CIF]
.