The crystal structure described by Li4V3Mn2Sb3O16 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 V(1)O6 octahedra, corners with two equivalent Sb(1)O6 octahedra, corners with two equivalent Sb(2)O6 octahedra, corners with three equivalent Mn(2)O6 octahedra, and corners with four equivalent V(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 55-62°. 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 in a rectangular see-saw-like geometry to one O(4), one O(8), and two equivalent O(1) atoms. 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 Sb(2)O6 octahedra, corners with two equivalent V(1)O6 octahedra, corners with two equivalent V(2)O6 octahedra, and corners with four equivalent Sb(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 55-58°. 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 Mn(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra, and edges with four equivalent Sb(1)O6 octahedra. The corner-sharing octahedral tilt angles are 52°. 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  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  an edgeedge with one Mn(2)O6 octahedra, edges with two equivalent V(2)O6 octahedra, and edges with two equivalent Sb(2)O6 octahedra. There are two inequivalent Mn sites. In the first Mn site, Mn(1) is bonded in a 6-coordinate geometry to one O(2), one O(8), two equivalent O(1), and two equivalent O(6) atoms. In the second Mn site, Mn(2) is bonded to one O(12), one O(7), two equivalent O(11), and two equivalent O(9) atoms to form MnO6 octahedra that share corners with two equivalent V(1)O6 octahedra, corners with four equivalent Sb(1)O6 octahedra, corners with three equivalent Li(1)O4 tetrahedra,  an edgeedge with one Sb(2)O6 octahedra, and edges with two equivalent V(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 52-54°. There are two inequivalent Sb sites. In the first Sb site, Sb(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 SbO6 octahedra that share corners with two equivalent Mn(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra, edges with two equivalent V(1)O6 octahedra, and edges with two equivalent Sb(1)O6 octahedra. The corner-sharing octahedral tilt angles are 54°. In the second Sb site, Sb(2) is bonded to one O(10), one O(5), two equivalent O(1), and two equivalent O(9) atoms to form SbO6 octahedra that share  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  an edgeedge with one Mn(2)O6 octahedra, and edges with four equivalent V(2)O6 octahedra. 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(2), one Mn(1), and one Sb(2) atom. In the second O site, O(2) is bonded to one Li(4), one Mn(1), and two equivalent Sb(1) atoms to form distorted OLiMnSb2 tetrahedra that share corners with two equivalent O(6)LiMnVSb tetrahedra,  a cornercorner with one O(8)LiMnV2 trigonal pyramid, corners with two equivalent O(11)LiMnVSb trigonal pyramids, and edges with two equivalent O(6)LiMnVSb 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 Sb(1) atoms. In the fourth O site, O(4) is bonded in a distorted rectangular see-saw-like geometry to one Li(3), one V(1), and two equivalent Sb(1) atoms. In the fifth O site, O(5) is bonded to one Li(2), two equivalent V(2), and one Sb(2) atom to form distorted OLiV2Sb tetrahedra that share corners with two equivalent O(12)LiMnV2 tetrahedra, corners with two equivalent O(11)LiMnVSb trigonal pyramids, corners with four equivalent O(9)LiMnVSb trigonal pyramids, and  an edgeedge with one O(8)LiMnV2 trigonal pyramid. In the sixth O site, O(6) is bonded to one Li(4), one V(1), one Mn(1), and one Sb(1) atom to form distorted OLiMnVSb tetrahedra that share  a cornercorner with one O(2)LiMnSb2 tetrahedra,  a cornercorner with one O(6)LiMnVSb tetrahedra,  a cornercorner with one O(8)LiMnV2 trigonal pyramid, corners with three equivalent O(11)LiMnVSb trigonal pyramids,  an edgeedge with one O(2)LiMnSb2 tetrahedra, and  an edgeedge with one O(6)LiMnVSb tetrahedra. In the seventh O site, O(7) is bonded in a distorted rectangular see-saw-like geometry to one Li(2), one Mn(2), and two equivalent Sb(1) atoms. In the eighth O site, O(8) is bonded to one Li(3), two equivalent V(2), and one Mn(1) atom to form distorted OLiMnV2 trigonal pyramids that share  a cornercorner with one O(2)LiMnSb2 tetrahedra, corners with two equivalent O(12)LiMnV2 tetrahedra, corners with two equivalent O(6)LiMnVSb tetrahedra, corners with two equivalent O(9)LiMnVSb trigonal pyramids, and  an edgeedge with one O(5)LiV2Sb tetrahedra. In the ninth O site, O(9) is bonded to one Li(1), one V(2), one Mn(2), and one Sb(2) atom to form distorted OLiMnVSb trigonal pyramids that share  a cornercorner with one O(12)LiMnV2 tetrahedra, corners with two equivalent O(5)LiV2Sb tetrahedra,  a cornercorner with one O(8)LiMnV2 trigonal pyramid,  a cornercorner with one O(9)LiMnVSb trigonal pyramid, corners with two equivalent O(11)LiMnVSb trigonal pyramids,  an edgeedge with one O(12)LiMnV2 tetrahedra, and  an edgeedge with one O(9)LiMnVSb trigonal pyramid. 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 Sb(2) atom. In the eleventh O site, O(11) is bonded to one Li(2), one V(1), one Mn(2), and one Sb(1) atom to form distorted OLiMnVSb trigonal pyramids that share  a cornercorner with one O(2)LiMnSb2 tetrahedra,  a cornercorner with one O(12)LiMnV2 tetrahedra,  a cornercorner with one O(5)LiV2Sb tetrahedra, corners with three equivalent O(6)LiMnVSb tetrahedra,  a cornercorner with one O(11)LiMnVSb trigonal pyramid, corners with two equivalent O(9)LiMnVSb trigonal pyramids, and  an edgeedge with one O(11)LiMnVSb trigonal pyramid. In the twelfth O site, O(12) is bonded to one Li(1), two equivalent V(2), and one Mn(2) atom to form distorted OLiMnV2 tetrahedra that share corners with two equivalent O(5)LiV2Sb tetrahedra, corners with two equivalent O(8)LiMnV2 trigonal pyramids, corners with two equivalent O(11)LiMnVSb trigonal pyramids, corners with two equivalent O(9)LiMnVSb trigonal pyramids, and edges with two equivalent O(9)LiMnVSb trigonal pyramids. is represented by the CIF file [CIF]
data_Li4Mn2V3Sb3O16
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.175
_cell_length_b   6.175
_cell_length_c   10.029
_cell_angle_alpha   89.816
_cell_angle_beta   89.816
_cell_angle_gamma   59.890
_symmetry_Int_Tables_number   1
_cell_volume   330.833
_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  0.664  0.664  0.127  1.0
  Li  Li1  1  0.991  0.991  0.009  1.0
  Li  Li2  1  0.994  0.994  0.495  1.0
  Li  Li3  1  0.328  0.328  0.598  1.0
  Mn  Mn4  1  0.675  0.675  0.482  1.0
  Mn  Mn5  1  0.343  0.343  0.020  1.0
  V  V6  1  0.832  0.832  0.783  1.0
  V  V7  1  0.171  0.664  0.285  1.0
  V  V8  1  0.664  0.171  0.285  1.0
  Sb  Sb9  1  0.337  0.832  0.784  1.0
  Sb  Sb10  1  0.832  0.337  0.784  1.0
  Sb  Sb11  1  0.170  0.170  0.285  1.0
  O  O12  1  0.309  0.849  0.397  1.0
  O  O13  1  0.513  0.513  0.672  1.0
  O  O14  1  0.662  0.662  0.896  1.0
  O  O15  1  0.005  0.005  0.679  1.0
  O  O16  1  0.007  0.007  0.185  1.0
  O  O17  1  0.849  0.309  0.397  1.0
  O  O18  1  0.512  0.968  0.677  1.0
  O  O19  1  0.968  0.512  0.677  1.0
  O  O20  1  0.153  0.153  0.896  1.0
  O  O21  1  0.847  0.847  0.390  1.0
  O  O22  1  0.031  0.481  0.170  1.0
  O  O23  1  0.481  0.031  0.170  1.0
  O  O24  1  0.326  0.326  0.398  1.0
  O  O25  1  0.157  0.695  0.890  1.0
  O  O26  1  0.483  0.483  0.173  1.0
  O  O27  1  0.695  0.157  0.890  1.0
[/CIF]
.
The crystal structure described by Li4V3Mn2Sb3O16 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 V(1)O6 octahedra, corners with two equivalent Sb(1)O6 octahedra, corners with two equivalent Sb(2)O6 octahedra, corners with three equivalent Mn(2)O6 octahedra, and corners with four equivalent V(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 55-62°. 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 in a rectangular see-saw-like geometry to one O(4), one O(8), and two equivalent O(1) atoms. 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 Sb(2)O6 octahedra, corners with two equivalent V(1)O6 octahedra, corners with two equivalent V(2)O6 octahedra, and corners with four equivalent Sb(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 55-58°. 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 Mn(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra, and edges with four equivalent Sb(1)O6 octahedra. The corner-sharing octahedral tilt angles are 52°. 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  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  an edgeedge with one Mn(2)O6 octahedra, edges with two equivalent V(2)O6 octahedra, and edges with two equivalent Sb(2)O6 octahedra. There are two inequivalent Mn sites. In the first Mn site, Mn(1) is bonded in a 6-coordinate geometry to one O(2), one O(8), two equivalent O(1), and two equivalent O(6) atoms. In the second Mn site, Mn(2) is bonded to one O(12), one O(7), two equivalent O(11), and two equivalent O(9) atoms to form MnO6 octahedra that share corners with two equivalent V(1)O6 octahedra, corners with four equivalent Sb(1)O6 octahedra, corners with three equivalent Li(1)O4 tetrahedra,  an edgeedge with one Sb(2)O6 octahedra, and edges with two equivalent V(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 52-54°. There are two inequivalent Sb sites. In the first Sb site, Sb(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 SbO6 octahedra that share corners with two equivalent Mn(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra, edges with two equivalent V(1)O6 octahedra, and edges with two equivalent Sb(1)O6 octahedra. The corner-sharing octahedral tilt angles are 54°. In the second Sb site, Sb(2) is bonded to one O(10), one O(5), two equivalent O(1), and two equivalent O(9) atoms to form SbO6 octahedra that share  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  an edgeedge with one Mn(2)O6 octahedra, and edges with four equivalent V(2)O6 octahedra. 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(2), one Mn(1), and one Sb(2) atom. In the second O site, O(2) is bonded to one Li(4), one Mn(1), and two equivalent Sb(1) atoms to form distorted OLiMnSb2 tetrahedra that share corners with two equivalent O(6)LiMnVSb tetrahedra,  a cornercorner with one O(8)LiMnV2 trigonal pyramid, corners with two equivalent O(11)LiMnVSb trigonal pyramids, and edges with two equivalent O(6)LiMnVSb 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 Sb(1) atoms. In the fourth O site, O(4) is bonded in a distorted rectangular see-saw-like geometry to one Li(3), one V(1), and two equivalent Sb(1) atoms. In the fifth O site, O(5) is bonded to one Li(2), two equivalent V(2), and one Sb(2) atom to form distorted OLiV2Sb tetrahedra that share corners with two equivalent O(12)LiMnV2 tetrahedra, corners with two equivalent O(11)LiMnVSb trigonal pyramids, corners with four equivalent O(9)LiMnVSb trigonal pyramids, and  an edgeedge with one O(8)LiMnV2 trigonal pyramid. In the sixth O site, O(6) is bonded to one Li(4), one V(1), one Mn(1), and one Sb(1) atom to form distorted OLiMnVSb tetrahedra that share  a cornercorner with one O(2)LiMnSb2 tetrahedra,  a cornercorner with one O(6)LiMnVSb tetrahedra,  a cornercorner with one O(8)LiMnV2 trigonal pyramid, corners with three equivalent O(11)LiMnVSb trigonal pyramids,  an edgeedge with one O(2)LiMnSb2 tetrahedra, and  an edgeedge with one O(6)LiMnVSb tetrahedra. In the seventh O site, O(7) is bonded in a distorted rectangular see-saw-like geometry to one Li(2), one Mn(2), and two equivalent Sb(1) atoms. In the eighth O site, O(8) is bonded to one Li(3), two equivalent V(2), and one Mn(1) atom to form distorted OLiMnV2 trigonal pyramids that share  a cornercorner with one O(2)LiMnSb2 tetrahedra, corners with two equivalent O(12)LiMnV2 tetrahedra, corners with two equivalent O(6)LiMnVSb tetrahedra, corners with two equivalent O(9)LiMnVSb trigonal pyramids, and  an edgeedge with one O(5)LiV2Sb tetrahedra. In the ninth O site, O(9) is bonded to one Li(1), one V(2), one Mn(2), and one Sb(2) atom to form distorted OLiMnVSb trigonal pyramids that share  a cornercorner with one O(12)LiMnV2 tetrahedra, corners with two equivalent O(5)LiV2Sb tetrahedra,  a cornercorner with one O(8)LiMnV2 trigonal pyramid,  a cornercorner with one O(9)LiMnVSb trigonal pyramid, corners with two equivalent O(11)LiMnVSb trigonal pyramids,  an edgeedge with one O(12)LiMnV2 tetrahedra, and  an edgeedge with one O(9)LiMnVSb trigonal pyramid. 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 Sb(2) atom. In the eleventh O site, O(11) is bonded to one Li(2), one V(1), one Mn(2), and one Sb(1) atom to form distorted OLiMnVSb trigonal pyramids that share  a cornercorner with one O(2)LiMnSb2 tetrahedra,  a cornercorner with one O(12)LiMnV2 tetrahedra,  a cornercorner with one O(5)LiV2Sb tetrahedra, corners with three equivalent O(6)LiMnVSb tetrahedra,  a cornercorner with one O(11)LiMnVSb trigonal pyramid, corners with two equivalent O(9)LiMnVSb trigonal pyramids, and  an edgeedge with one O(11)LiMnVSb trigonal pyramid. In the twelfth O site, O(12) is bonded to one Li(1), two equivalent V(2), and one Mn(2) atom to form distorted OLiMnV2 tetrahedra that share corners with two equivalent O(5)LiV2Sb tetrahedra, corners with two equivalent O(8)LiMnV2 trigonal pyramids, corners with two equivalent O(11)LiMnVSb trigonal pyramids, corners with two equivalent O(9)LiMnVSb trigonal pyramids, and edges with two equivalent O(9)LiMnVSb trigonal pyramids. is represented by the CIF file [CIF]
data_Li4Mn2V3Sb3O16
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.175
_cell_length_b   6.175
_cell_length_c   10.029
_cell_angle_alpha   89.816
_cell_angle_beta   89.816
_cell_angle_gamma   59.890
_symmetry_Int_Tables_number   1
_cell_volume   330.833
_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  0.664  0.664  0.127  1.0
  Li  Li1  1  0.991  0.991  0.009  1.0
  Li  Li2  1  0.994  0.994  0.495  1.0
  Li  Li3  1  0.328  0.328  0.598  1.0
  Mn  Mn4  1  0.675  0.675  0.482  1.0
  Mn  Mn5  1  0.343  0.343  0.020  1.0
  V  V6  1  0.832  0.832  0.783  1.0
  V  V7  1  0.171  0.664  0.285  1.0
  V  V8  1  0.664  0.171  0.285  1.0
  Sb  Sb9  1  0.337  0.832  0.784  1.0
  Sb  Sb10  1  0.832  0.337  0.784  1.0
  Sb  Sb11  1  0.170  0.170  0.285  1.0
  O  O12  1  0.309  0.849  0.397  1.0
  O  O13  1  0.513  0.513  0.672  1.0
  O  O14  1  0.662  0.662  0.896  1.0
  O  O15  1  0.005  0.005  0.679  1.0
  O  O16  1  0.007  0.007  0.185  1.0
  O  O17  1  0.849  0.309  0.397  1.0
  O  O18  1  0.512  0.968  0.677  1.0
  O  O19  1  0.968  0.512  0.677  1.0
  O  O20  1  0.153  0.153  0.896  1.0
  O  O21  1  0.847  0.847  0.390  1.0
  O  O22  1  0.031  0.481  0.170  1.0
  O  O23  1  0.481  0.031  0.170  1.0
  O  O24  1  0.326  0.326  0.398  1.0
  O  O25  1  0.157  0.695  0.890  1.0
  O  O26  1  0.483  0.483  0.173  1.0
  O  O27  1  0.695  0.157  0.890  1.0
[/CIF]
.