The crystal structure described by Li4V3Co3(TeO8)2 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 Co(1)O6 octahedra,  a cornercorner with one Co(2)O6 octahedra, corners with two equivalent V(2)O6 octahedra, corners with two equivalent V(3)O6 octahedra, and corners with two equivalent Co(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 40-64°. In the second Li site, Li(2) is bonded to one O(14), one O(16), one O(5), and one O(9) atom to form distorted LiO4 trigonal pyramids that share  a cornercorner with one V(2)O6 octahedra,  a cornercorner with one V(3)O6 octahedra,  a cornercorner with one Co(3)O6 octahedra,  an edgeedge with one V(1)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra, and  an edgeedge with one Co(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 60-65°. In the third Li site, Li(3) is bonded in a rectangular see-saw-like geometry to one O(1), one O(10), one O(4), and one O(6) atom. 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(2)O6 octahedra,  a cornercorner with one V(3)O6 octahedra,  a cornercorner with one Co(3)O6 octahedra, corners with two equivalent V(1)O6 octahedra, corners with two equivalent Co(1)O6 octahedra, corners with two equivalent Co(2)O6 octahedra, and corners with three equivalent Te(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 49-67°. 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 distorted VO6 octahedra that share  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one Te(1)O6 octahedra, edges with two equivalent Co(1)O6 octahedra, edges with two equivalent Co(2)O6 octahedra, and  an edgeedge with one Li(2)O4 trigonal pyramid. In the second V site, V(2) 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 Te(1)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  a cornercorner with one Li(2)O4 trigonal pyramid, edges with two equivalent V(3)O6 octahedra, and edges with two equivalent Co(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 53-59°. In the third V site, V(3) is bonded to one O(10), one O(12), one O(13), one O(15), one O(5), and one O(6) atom to form VO6 octahedra that share corners with two equivalent Te(1)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  a cornercorner with one Li(2)O4 trigonal pyramid, edges with two equivalent V(2)O6 octahedra, and edges with two equivalent Co(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 50-61°. There are three inequivalent Co sites. In the first Co site, Co(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 CoO6 octahedra that share  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one Te(1)O6 octahedra, edges with two equivalent V(1)O6 octahedra, edges with two equivalent Co(2)O6 octahedra, and  an edgeedge with one Li(2)O4 trigonal pyramid. In the second Co site, Co(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 CoO6 octahedra that share  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one Te(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 trigonal pyramid. In the third Co site, Co(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 CoO6 octahedra that share corners with two equivalent Te(1)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  a cornercorner with one Li(2)O4 trigonal pyramid, edges with two equivalent V(2)O6 octahedra, and edges with two equivalent V(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 53-55°. There are two inequivalent Te sites. In the first Te site, Te(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 TeO6 octahedra that share corners with two equivalent V(2)O6 octahedra, corners with two equivalent V(3)O6 octahedra, corners with two equivalent Co(3)O6 octahedra, corners with three equivalent Li(4)O4 tetrahedra,  an edgeedge with one V(1)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra, and  an edgeedge with one Co(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 50-61°. In the second Te site, Te(2) is bonded in a 6-coordinate geometry to one O(11), one O(12), one O(14), one O(15), one O(16), and one O(9) atom. There are sixteen 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 Co(3), and one Te(1) atom. In the second O site, O(2) is bonded to one Li(4), one Co(1), one Co(2), and one Te(1) atom to form OLiCo2Te tetrahedra that share  a cornercorner with one O(10)LiV2Te tetrahedra and corners with two equivalent O(4)LiVCo2 tetrahedra. In the third O site, O(3) is bonded in a rectangular see-saw-like geometry to one Li(1), one V(1), one Co(1), and one Co(2) atom. In the fourth O site, O(4) is bonded to one Li(3), one V(1), one Co(1), and one Co(2) atom to form OLiVCo2 tetrahedra that share  a cornercorner with one O(10)LiV2Te tetrahedra and corners with two equivalent O(2)LiCo2Te tetrahedra. In the fifth O site, O(5) is bonded to one Li(2), one V(2), one V(3), and one Co(3) atom to form distorted edge-sharing OLiV2Co tetrahedra. In the sixth O site, O(6) is bonded in a rectangular see-saw-like geometry to one Li(3), one V(3), one Co(3), and one Te(1) atom. In the seventh O site, O(7) is bonded in a distorted rectangular see-saw-like geometry to one Li(4), one V(1), one Co(1), and one Te(1) atom. In the eighth O site, O(8) is bonded in a distorted rectangular see-saw-like geometry to one Li(4), one V(1), one Co(2), and one Te(1) atom. In the ninth O site, O(9) is bonded in a rectangular see-saw-like geometry to one Li(2), one Co(1), one Co(2), and one Te(2) atom. In the tenth O site, O(10) is bonded to one Li(3), one V(2), one V(3), and one Te(1) atom to form distorted OLiV2Te tetrahedra that share  a cornercorner with one O(2)LiCo2Te tetrahedra,  a cornercorner with one O(4)LiVCo2 tetrahedra, and  an edgeedge with one O(5)LiV2Co tetrahedra. In the eleventh O site, O(11) is bonded in a 4-coordinate geometry to one Li(1), one V(2), one Co(3), and one Te(2) atom. In the twelfth O site, O(12) is bonded in a 4-coordinate geometry to one Li(1), one V(3), one Co(3), and one Te(2) 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 Co(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(1), and one Te(2) 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 Te(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 Te(2) atom. is represented by the CIF card [CIF]
data_Li4V3Co3(TeO8)2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.891
_cell_length_b   6.047
_cell_length_c   10.284
_cell_angle_alpha   89.928
_cell_angle_beta   90.190
_cell_angle_gamma   119.068
_symmetry_Int_Tables_number   1
_cell_volume   320.228
_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  0.659  0.327  0.902  1.0
  Li  Li1  1  1.000  0.996  0.996  1.0
  Li  Li2  1  0.994  0.986  0.485  1.0
  Li  Li3  1  0.342  0.685  0.406  1.0
  V  V4  1  0.821  0.641  0.235  1.0
  V  V5  1  0.157  0.802  0.721  1.0
  V  V6  1  0.659  0.815  0.722  1.0
  Co  Co7  1  0.343  0.171  0.216  1.0
  Co  Co8  1  0.828  0.171  0.215  1.0
  Co  Co9  1  0.169  0.332  0.705  1.0
  Te  Te10  1  0.646  0.293  0.498  1.0
  Te  Te11  1  0.329  0.661  0.014  1.0
  O  O12  1  0.317  0.143  0.591  1.0
  O  O13  1  0.523  0.044  0.355  1.0
  O  O14  1  0.690  0.380  0.111  1.0
  O  O15  1  0.985  0.970  0.300  1.0
  O  O16  1  0.006  0.992  0.808  1.0
  O  O17  1  0.820  0.133  0.595  1.0
  O  O18  1  0.533  0.516  0.332  1.0
  O  O19  1  0.985  0.517  0.331  1.0
  O  O20  1  0.163  0.326  0.096  1.0
  O  O21  1  0.869  0.713  0.611  1.0
  O  O22  1  0.013  0.528  0.818  1.0
  O  O23  1  0.516  0.531  0.813  1.0
  O  O24  1  0.332  0.689  0.608  1.0
  O  O25  1  0.164  0.831  0.104  1.0
  O  O26  1  0.472  0.972  0.819  1.0
  O  O27  1  0.667  0.831  0.102  1.0
[/CIF]
.
The crystal structure described by Li4V3Co3(TeO8)2 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 Co(1)O6 octahedra,  a cornercorner with one Co(2)O6 octahedra, corners with two equivalent V(2)O6 octahedra, corners with two equivalent V(3)O6 octahedra, and corners with two equivalent Co(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 40-64°. In the second Li site, Li(2) is bonded to one O(14), one O(16), one O(5), and one O(9) atom to form distorted LiO4 trigonal pyramids that share  a cornercorner with one V(2)O6 octahedra,  a cornercorner with one V(3)O6 octahedra,  a cornercorner with one Co(3)O6 octahedra,  an edgeedge with one V(1)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra, and  an edgeedge with one Co(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 60-65°. In the third Li site, Li(3) is bonded in a rectangular see-saw-like geometry to one O(1), one O(10), one O(4), and one O(6) atom. 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(2)O6 octahedra,  a cornercorner with one V(3)O6 octahedra,  a cornercorner with one Co(3)O6 octahedra, corners with two equivalent V(1)O6 octahedra, corners with two equivalent Co(1)O6 octahedra, corners with two equivalent Co(2)O6 octahedra, and corners with three equivalent Te(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 49-67°. 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 distorted VO6 octahedra that share  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one Te(1)O6 octahedra, edges with two equivalent Co(1)O6 octahedra, edges with two equivalent Co(2)O6 octahedra, and  an edgeedge with one Li(2)O4 trigonal pyramid. In the second V site, V(2) 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 Te(1)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  a cornercorner with one Li(2)O4 trigonal pyramid, edges with two equivalent V(3)O6 octahedra, and edges with two equivalent Co(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 53-59°. In the third V site, V(3) is bonded to one O(10), one O(12), one O(13), one O(15), one O(5), and one O(6) atom to form VO6 octahedra that share corners with two equivalent Te(1)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  a cornercorner with one Li(2)O4 trigonal pyramid, edges with two equivalent V(2)O6 octahedra, and edges with two equivalent Co(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 50-61°. There are three inequivalent Co sites. In the first Co site, Co(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 CoO6 octahedra that share  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one Te(1)O6 octahedra, edges with two equivalent V(1)O6 octahedra, edges with two equivalent Co(2)O6 octahedra, and  an edgeedge with one Li(2)O4 trigonal pyramid. In the second Co site, Co(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 CoO6 octahedra that share  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one Te(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 trigonal pyramid. In the third Co site, Co(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 CoO6 octahedra that share corners with two equivalent Te(1)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  a cornercorner with one Li(2)O4 trigonal pyramid, edges with two equivalent V(2)O6 octahedra, and edges with two equivalent V(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 53-55°. There are two inequivalent Te sites. In the first Te site, Te(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 TeO6 octahedra that share corners with two equivalent V(2)O6 octahedra, corners with two equivalent V(3)O6 octahedra, corners with two equivalent Co(3)O6 octahedra, corners with three equivalent Li(4)O4 tetrahedra,  an edgeedge with one V(1)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra, and  an edgeedge with one Co(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 50-61°. In the second Te site, Te(2) is bonded in a 6-coordinate geometry to one O(11), one O(12), one O(14), one O(15), one O(16), and one O(9) atom. There are sixteen 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 Co(3), and one Te(1) atom. In the second O site, O(2) is bonded to one Li(4), one Co(1), one Co(2), and one Te(1) atom to form OLiCo2Te tetrahedra that share  a cornercorner with one O(10)LiV2Te tetrahedra and corners with two equivalent O(4)LiVCo2 tetrahedra. In the third O site, O(3) is bonded in a rectangular see-saw-like geometry to one Li(1), one V(1), one Co(1), and one Co(2) atom. In the fourth O site, O(4) is bonded to one Li(3), one V(1), one Co(1), and one Co(2) atom to form OLiVCo2 tetrahedra that share  a cornercorner with one O(10)LiV2Te tetrahedra and corners with two equivalent O(2)LiCo2Te tetrahedra. In the fifth O site, O(5) is bonded to one Li(2), one V(2), one V(3), and one Co(3) atom to form distorted edge-sharing OLiV2Co tetrahedra. In the sixth O site, O(6) is bonded in a rectangular see-saw-like geometry to one Li(3), one V(3), one Co(3), and one Te(1) atom. In the seventh O site, O(7) is bonded in a distorted rectangular see-saw-like geometry to one Li(4), one V(1), one Co(1), and one Te(1) atom. In the eighth O site, O(8) is bonded in a distorted rectangular see-saw-like geometry to one Li(4), one V(1), one Co(2), and one Te(1) atom. In the ninth O site, O(9) is bonded in a rectangular see-saw-like geometry to one Li(2), one Co(1), one Co(2), and one Te(2) atom. In the tenth O site, O(10) is bonded to one Li(3), one V(2), one V(3), and one Te(1) atom to form distorted OLiV2Te tetrahedra that share  a cornercorner with one O(2)LiCo2Te tetrahedra,  a cornercorner with one O(4)LiVCo2 tetrahedra, and  an edgeedge with one O(5)LiV2Co tetrahedra. In the eleventh O site, O(11) is bonded in a 4-coordinate geometry to one Li(1), one V(2), one Co(3), and one Te(2) atom. In the twelfth O site, O(12) is bonded in a 4-coordinate geometry to one Li(1), one V(3), one Co(3), and one Te(2) 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 Co(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(1), and one Te(2) 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 Te(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 Te(2) atom. is represented by the CIF card [CIF]
data_Li4V3Co3(TeO8)2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.891
_cell_length_b   6.047
_cell_length_c   10.284
_cell_angle_alpha   89.928
_cell_angle_beta   90.190
_cell_angle_gamma   119.068
_symmetry_Int_Tables_number   1
_cell_volume   320.228
_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  0.659  0.327  0.902  1.0
  Li  Li1  1  1.000  0.996  0.996  1.0
  Li  Li2  1  0.994  0.986  0.485  1.0
  Li  Li3  1  0.342  0.685  0.406  1.0
  V  V4  1  0.821  0.641  0.235  1.0
  V  V5  1  0.157  0.802  0.721  1.0
  V  V6  1  0.659  0.815  0.722  1.0
  Co  Co7  1  0.343  0.171  0.216  1.0
  Co  Co8  1  0.828  0.171  0.215  1.0
  Co  Co9  1  0.169  0.332  0.705  1.0
  Te  Te10  1  0.646  0.293  0.498  1.0
  Te  Te11  1  0.329  0.661  0.014  1.0
  O  O12  1  0.317  0.143  0.591  1.0
  O  O13  1  0.523  0.044  0.355  1.0
  O  O14  1  0.690  0.380  0.111  1.0
  O  O15  1  0.985  0.970  0.300  1.0
  O  O16  1  0.006  0.992  0.808  1.0
  O  O17  1  0.820  0.133  0.595  1.0
  O  O18  1  0.533  0.516  0.332  1.0
  O  O19  1  0.985  0.517  0.331  1.0
  O  O20  1  0.163  0.326  0.096  1.0
  O  O21  1  0.869  0.713  0.611  1.0
  O  O22  1  0.013  0.528  0.818  1.0
  O  O23  1  0.516  0.531  0.813  1.0
  O  O24  1  0.332  0.689  0.608  1.0
  O  O25  1  0.164  0.831  0.104  1.0
  O  O26  1  0.472  0.972  0.819  1.0
  O  O27  1  0.667  0.831  0.102  1.0
[/CIF]
.