The structure described by Li4V3Co2Sn3O16 is Hausmannite-derived structured and crystallizes in the triclinic P1 space group. There are four inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(11), one O(12), one O(15), and one O(3) atom to form LiO4 tetrahedra that share  a cornercorner with one V(1)O6 octahedra,  a cornercorner with one Sn(1)O6 octahedra,  a cornercorner with one Sn(2)O6 octahedra, corners with two equivalent V(3)O6 octahedra, corners with two equivalent Sn(3)O6 octahedra, and corners with three equivalent Co(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 56-68°. In the second Li site, Li(2) is bonded in a rectangular see-saw-like geometry to one O(14), one O(16), one O(5), and one O(9) atom. In the third Li site, Li(3) is bonded to one O(1), one O(10), one O(4), and one O(6) atom to form distorted LiO4 trigonal pyramids that share  a cornercorner with one V(1)O6 octahedra,  a cornercorner with one Sn(1)O6 octahedra,  a cornercorner with one Sn(2)O6 octahedra, corners with three equivalent Co(1)O6 octahedra,  an edgeedge with one V(3)O6 octahedra, and  an edgeedge with one Sn(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 58-62°. In the fourth Li site, Li(4) is bonded to one O(13), one O(2), one O(7), and one O(8) atom to form LiO4 tetrahedra that share  a cornercorner with one V(3)O6 octahedra,  a cornercorner with one Sn(3)O6 octahedra, corners with two equivalent V(1)O6 octahedra, corners with two equivalent Sn(1)O6 octahedra, corners with two equivalent Sn(2)O6 octahedra, and corners with three equivalent Co(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 56-64°. There are three inequivalent V sites. In the first V site, V(1) is bonded to one O(14), one O(16), one O(3), one O(4), one O(7), and one O(8) atom to form VO6 octahedra that share corners with two equivalent Co(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 Co(1)O6 octahedra, edges with two equivalent Sn(1)O6 octahedra, and edges with two equivalent Sn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 48-51°. In the second V site, V(2) is bonded in a 5-coordinate geometry to one O(10), one O(12), one O(13), one O(15), one O(5), and one O(6) atom. In the third V site, V(3) is bonded to one O(1), one O(10), one O(11), one O(13), one O(15), and one O(5) atom to form distorted VO6 octahedra that share corners with two equivalent Co(1)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  an edgeedge with one Co(2)O6 octahedra, edges with two equivalent Sn(3)O6 octahedra, and  an edgeedge with one Li(3)O4 trigonal pyramid. The corner-sharing octahedral tilt angles range from 48-50°. There are two inequivalent Co sites. In the first Co site, Co(1) is bonded to one O(1), one O(10), one O(2), one O(6), one O(7), and one O(8) atom to form distorted CoO6 octahedra that share corners with two equivalent V(3)O6 octahedra, corners with two equivalent Sn(3)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,  an edgeedge with one Sn(1)O6 octahedra, and  an edgeedge with one Sn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 48-56°. In the second Co site, Co(2) is bonded to one O(11), one O(12), one O(14), one O(15), one O(16), and one O(9) atom to form distorted CoO6 octahedra that share corners with two equivalent V(1)O6 octahedra, corners with two equivalent Sn(1)O6 octahedra, corners with two equivalent Sn(2)O6 octahedra, corners with three equivalent Li(1)O4 tetrahedra,  an edgeedge with one V(3)O6 octahedra, and  an edgeedge with one Sn(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 48-58°. There are three inequivalent Sn sites. In the first Sn site, Sn(1) is bonded to one O(14), one O(2), one O(3), one O(4), one O(7), and one O(9) atom to form SnO6 octahedra that share corners with two equivalent Co(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 Co(1)O6 octahedra, edges with two equivalent V(1)O6 octahedra, and edges with two equivalent Sn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 54-58°. In the second Sn site, Sn(2) is bonded to one O(16), one O(2), one O(3), one O(4), one O(8), and one O(9) atom to form SnO6 octahedra that share corners with two equivalent Co(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 Co(1)O6 octahedra, edges with two equivalent V(1)O6 octahedra, and edges with two equivalent Sn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 55-58°. In the third Sn site, Sn(3) is bonded to one O(1), one O(11), one O(12), one O(13), one O(5), and one O(6) atom to form SnO6 octahedra that share corners with two equivalent Co(1)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  an edgeedge with one Co(2)O6 octahedra, edges with two equivalent V(3)O6 octahedra, and  an edgeedge with one Li(3)O4 trigonal pyramid. The corner-sharing octahedral tilt angles range from 54-56°. There are sixteen 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(3), one Co(1), and one Sn(3) atom. In the second O site, O(2) is bonded to one Li(4), one Co(1), one Sn(1), and one Sn(2) atom to form distorted OLiCoSn2 tetrahedra that share  a cornercorner with one O(8)LiVCoSn tetrahedra, corners with two equivalent O(4)LiVSn2 tetrahedra, and  an edgeedge with one O(8)LiVCoSn tetrahedra. In the third O site, O(3) is bonded in a distorted rectangular see-saw-like geometry to one Li(1), one V(1), one Sn(1), and one Sn(2) atom. In the fourth O site, O(4) is bonded to one Li(3), one V(1), one Sn(1), and one Sn(2) atom to form distorted OLiVSn2 tetrahedra that share corners with two equivalent O(2)LiCoSn2 tetrahedra and corners with two equivalent O(8)LiVCoSn tetrahedra. In the fifth O site, O(5) is bonded to one Li(2), one V(2), one V(3), and one Sn(3) atom to form distorted corner-sharing OLiV2Sn tetrahedra. In the sixth O site, O(6) is bonded in a distorted rectangular see-saw-like geometry to one Li(3), one V(2), one Co(1), and one Sn(3) atom. In the seventh O site, O(7) is bonded in a 4-coordinate geometry to one Li(4), one V(1), one Co(1), and one Sn(1) atom. In the eighth O site, O(8) is bonded to one Li(4), one V(1), one Co(1), and one Sn(2) atom to form distorted OLiVCoSn tetrahedra that share  a cornercorner with one O(2)LiCoSn2 tetrahedra, corners with two equivalent O(4)LiVSn2 tetrahedra, and  an edgeedge with one O(2)LiCoSn2 tetrahedra. In the ninth O site, O(9) is bonded in a rectangular see-saw-like geometry to one Li(2), one Co(2), one Sn(1), and one Sn(2) atom. In the tenth O site, O(10) is bonded in a 4-coordinate geometry to one Li(3), one V(2), one V(3), and one Co(1) atom. In the eleventh O site, O(11) is bonded to one Li(1), one V(3), one Co(2), and one Sn(3) atom to form corner-sharing OLiVCoSn tetrahedra. In the twelfth O site, O(12) is bonded in a distorted rectangular see-saw-like geometry to one Li(1), one V(2), one Co(2), and one Sn(3) atom. In the thirteenth O site, O(13) is bonded in a rectangular see-saw-like geometry to one Li(4), one V(2), one V(3), and one Sn(3) atom. In the fourteenth O site, O(14) is bonded in a rectangular see-saw-like geometry to one Li(2), one V(1), one Co(2), and one Sn(1) atom. In the fifteenth O site, O(15) is bonded in a 4-coordinate geometry to one Li(1), one V(2), one V(3), and one Co(2) atom. In the sixteenth O site, O(16) is bonded in a rectangular see-saw-like geometry to one Li(2), one V(1), one Co(2), and one Sn(2) atom. is represented by the Crystallographic Information File (CIF) [CIF]
data_Li4V3Co2Sn3O16
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.091
_cell_length_b   6.135
_cell_length_c   9.837
_cell_angle_alpha   90.053
_cell_angle_beta   90.250
_cell_angle_gamma   119.488
_symmetry_Int_Tables_number   1
_cell_volume   319.939
_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  0.633  0.320  0.892  1.0
  Li  Li1  1  0.038  0.017  0.993  1.0
  Li  Li2  1  0.008  0.998  0.501  1.0
  Li  Li3  1  0.326  0.658  0.396  1.0
  V  V4  1  0.343  0.167  0.218  1.0
  V  V5  1  0.127  0.775  0.734  1.0
  V  V6  1  0.189  0.323  0.699  1.0
  Co  Co7  1  0.680  0.351  0.495  1.0
  Co  Co8  1  0.342  0.670  0.996  1.0
  Sn  Sn9  1  0.837  0.170  0.213  1.0
  Sn  Sn10  1  0.834  0.663  0.213  1.0
  Sn  Sn11  1  0.654  0.843  0.715  1.0
  O  O12  1  0.854  0.173  0.602  1.0
  O  O13  1  0.969  0.478  0.338  1.0
  O  O14  1  0.658  0.329  0.099  1.0
  O  O15  1  0.013  0.004  0.318  1.0
  O  O16  1  0.012  0.005  0.809  1.0
  O  O17  1  0.848  0.690  0.604  1.0
  O  O18  1  0.500  0.033  0.329  1.0
  O  O19  1  0.515  0.479  0.334  1.0
  O  O20  1  0.699  0.853  0.092  1.0
  O  O21  1  0.330  0.192  0.598  1.0
  O  O22  1  0.462  0.513  0.833  1.0
  O  O23  1  0.454  0.963  0.833  1.0
  O  O24  1  0.307  0.659  0.608  1.0
  O  O25  1  0.186  0.318  0.108  1.0
  O  O26  1  0.008  0.508  0.834  1.0
  O  O27  1  0.174  0.848  0.104  1.0
[/CIF]
.
The structure described by Li4V3Co2Sn3O16 is Hausmannite-derived structured and crystallizes in the triclinic P1 space group. There are four inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(11), one O(12), one O(15), and one O(3) atom to form LiO4 tetrahedra that share  a cornercorner with one V(1)O6 octahedra,  a cornercorner with one Sn(1)O6 octahedra,  a cornercorner with one Sn(2)O6 octahedra, corners with two equivalent V(3)O6 octahedra, corners with two equivalent Sn(3)O6 octahedra, and corners with three equivalent Co(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 56-68°. In the second Li site, Li(2) is bonded in a rectangular see-saw-like geometry to one O(14), one O(16), one O(5), and one O(9) atom. In the third Li site, Li(3) is bonded to one O(1), one O(10), one O(4), and one O(6) atom to form distorted LiO4 trigonal pyramids that share  a cornercorner with one V(1)O6 octahedra,  a cornercorner with one Sn(1)O6 octahedra,  a cornercorner with one Sn(2)O6 octahedra, corners with three equivalent Co(1)O6 octahedra,  an edgeedge with one V(3)O6 octahedra, and  an edgeedge with one Sn(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 58-62°. In the fourth Li site, Li(4) is bonded to one O(13), one O(2), one O(7), and one O(8) atom to form LiO4 tetrahedra that share  a cornercorner with one V(3)O6 octahedra,  a cornercorner with one Sn(3)O6 octahedra, corners with two equivalent V(1)O6 octahedra, corners with two equivalent Sn(1)O6 octahedra, corners with two equivalent Sn(2)O6 octahedra, and corners with three equivalent Co(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 56-64°. There are three inequivalent V sites. In the first V site, V(1) is bonded to one O(14), one O(16), one O(3), one O(4), one O(7), and one O(8) atom to form VO6 octahedra that share corners with two equivalent Co(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 Co(1)O6 octahedra, edges with two equivalent Sn(1)O6 octahedra, and edges with two equivalent Sn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 48-51°. In the second V site, V(2) is bonded in a 5-coordinate geometry to one O(10), one O(12), one O(13), one O(15), one O(5), and one O(6) atom. In the third V site, V(3) is bonded to one O(1), one O(10), one O(11), one O(13), one O(15), and one O(5) atom to form distorted VO6 octahedra that share corners with two equivalent Co(1)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  an edgeedge with one Co(2)O6 octahedra, edges with two equivalent Sn(3)O6 octahedra, and  an edgeedge with one Li(3)O4 trigonal pyramid. The corner-sharing octahedral tilt angles range from 48-50°. There are two inequivalent Co sites. In the first Co site, Co(1) is bonded to one O(1), one O(10), one O(2), one O(6), one O(7), and one O(8) atom to form distorted CoO6 octahedra that share corners with two equivalent V(3)O6 octahedra, corners with two equivalent Sn(3)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,  an edgeedge with one Sn(1)O6 octahedra, and  an edgeedge with one Sn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 48-56°. In the second Co site, Co(2) is bonded to one O(11), one O(12), one O(14), one O(15), one O(16), and one O(9) atom to form distorted CoO6 octahedra that share corners with two equivalent V(1)O6 octahedra, corners with two equivalent Sn(1)O6 octahedra, corners with two equivalent Sn(2)O6 octahedra, corners with three equivalent Li(1)O4 tetrahedra,  an edgeedge with one V(3)O6 octahedra, and  an edgeedge with one Sn(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 48-58°. There are three inequivalent Sn sites. In the first Sn site, Sn(1) is bonded to one O(14), one O(2), one O(3), one O(4), one O(7), and one O(9) atom to form SnO6 octahedra that share corners with two equivalent Co(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 Co(1)O6 octahedra, edges with two equivalent V(1)O6 octahedra, and edges with two equivalent Sn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 54-58°. In the second Sn site, Sn(2) is bonded to one O(16), one O(2), one O(3), one O(4), one O(8), and one O(9) atom to form SnO6 octahedra that share corners with two equivalent Co(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 Co(1)O6 octahedra, edges with two equivalent V(1)O6 octahedra, and edges with two equivalent Sn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 55-58°. In the third Sn site, Sn(3) is bonded to one O(1), one O(11), one O(12), one O(13), one O(5), and one O(6) atom to form SnO6 octahedra that share corners with two equivalent Co(1)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  an edgeedge with one Co(2)O6 octahedra, edges with two equivalent V(3)O6 octahedra, and  an edgeedge with one Li(3)O4 trigonal pyramid. The corner-sharing octahedral tilt angles range from 54-56°. There are sixteen 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(3), one Co(1), and one Sn(3) atom. In the second O site, O(2) is bonded to one Li(4), one Co(1), one Sn(1), and one Sn(2) atom to form distorted OLiCoSn2 tetrahedra that share  a cornercorner with one O(8)LiVCoSn tetrahedra, corners with two equivalent O(4)LiVSn2 tetrahedra, and  an edgeedge with one O(8)LiVCoSn tetrahedra. In the third O site, O(3) is bonded in a distorted rectangular see-saw-like geometry to one Li(1), one V(1), one Sn(1), and one Sn(2) atom. In the fourth O site, O(4) is bonded to one Li(3), one V(1), one Sn(1), and one Sn(2) atom to form distorted OLiVSn2 tetrahedra that share corners with two equivalent O(2)LiCoSn2 tetrahedra and corners with two equivalent O(8)LiVCoSn tetrahedra. In the fifth O site, O(5) is bonded to one Li(2), one V(2), one V(3), and one Sn(3) atom to form distorted corner-sharing OLiV2Sn tetrahedra. In the sixth O site, O(6) is bonded in a distorted rectangular see-saw-like geometry to one Li(3), one V(2), one Co(1), and one Sn(3) atom. In the seventh O site, O(7) is bonded in a 4-coordinate geometry to one Li(4), one V(1), one Co(1), and one Sn(1) atom. In the eighth O site, O(8) is bonded to one Li(4), one V(1), one Co(1), and one Sn(2) atom to form distorted OLiVCoSn tetrahedra that share  a cornercorner with one O(2)LiCoSn2 tetrahedra, corners with two equivalent O(4)LiVSn2 tetrahedra, and  an edgeedge with one O(2)LiCoSn2 tetrahedra. In the ninth O site, O(9) is bonded in a rectangular see-saw-like geometry to one Li(2), one Co(2), one Sn(1), and one Sn(2) atom. In the tenth O site, O(10) is bonded in a 4-coordinate geometry to one Li(3), one V(2), one V(3), and one Co(1) atom. In the eleventh O site, O(11) is bonded to one Li(1), one V(3), one Co(2), and one Sn(3) atom to form corner-sharing OLiVCoSn tetrahedra. In the twelfth O site, O(12) is bonded in a distorted rectangular see-saw-like geometry to one Li(1), one V(2), one Co(2), and one Sn(3) atom. In the thirteenth O site, O(13) is bonded in a rectangular see-saw-like geometry to one Li(4), one V(2), one V(3), and one Sn(3) atom. In the fourteenth O site, O(14) is bonded in a rectangular see-saw-like geometry to one Li(2), one V(1), one Co(2), and one Sn(1) atom. In the fifteenth O site, O(15) is bonded in a 4-coordinate geometry to one Li(1), one V(2), one V(3), and one Co(2) atom. In the sixteenth O site, O(16) is bonded in a rectangular see-saw-like geometry to one Li(2), one V(1), one Co(2), and one Sn(2) atom. is represented by the Crystallographic Information File (CIF) [CIF]
data_Li4V3Co2Sn3O16
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.091
_cell_length_b   6.135
_cell_length_c   9.837
_cell_angle_alpha   90.053
_cell_angle_beta   90.250
_cell_angle_gamma   119.488
_symmetry_Int_Tables_number   1
_cell_volume   319.939
_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  0.633  0.320  0.892  1.0
  Li  Li1  1  0.038  0.017  0.993  1.0
  Li  Li2  1  0.008  0.998  0.501  1.0
  Li  Li3  1  0.326  0.658  0.396  1.0
  V  V4  1  0.343  0.167  0.218  1.0
  V  V5  1  0.127  0.775  0.734  1.0
  V  V6  1  0.189  0.323  0.699  1.0
  Co  Co7  1  0.680  0.351  0.495  1.0
  Co  Co8  1  0.342  0.670  0.996  1.0
  Sn  Sn9  1  0.837  0.170  0.213  1.0
  Sn  Sn10  1  0.834  0.663  0.213  1.0
  Sn  Sn11  1  0.654  0.843  0.715  1.0
  O  O12  1  0.854  0.173  0.602  1.0
  O  O13  1  0.969  0.478  0.338  1.0
  O  O14  1  0.658  0.329  0.099  1.0
  O  O15  1  0.013  0.004  0.318  1.0
  O  O16  1  0.012  0.005  0.809  1.0
  O  O17  1  0.848  0.690  0.604  1.0
  O  O18  1  0.500  0.033  0.329  1.0
  O  O19  1  0.515  0.479  0.334  1.0
  O  O20  1  0.699  0.853  0.092  1.0
  O  O21  1  0.330  0.192  0.598  1.0
  O  O22  1  0.462  0.513  0.833  1.0
  O  O23  1  0.454  0.963  0.833  1.0
  O  O24  1  0.307  0.659  0.608  1.0
  O  O25  1  0.186  0.318  0.108  1.0
  O  O26  1  0.008  0.508  0.834  1.0
  O  O27  1  0.174  0.848  0.104  1.0
[/CIF]
.