The crystal structure described by Li2V3O6 crystallizes in the monoclinic C2 space group. There are two inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(1), one O(2), one O(3), one O(4), one O(5), and one O(6) atom to form LiO6 octahedra that share  a cornercorner with one V(1)O6 octahedra,  a cornercorner with one V(2)O6 octahedra,  a cornercorner with one V(3)O6 octahedra,  a cornercorner with one V(4)O6 octahedra,  a cornercorner with one V(5)O6 octahedra,  a cornercorner with one V(6)O6 octahedra,  an edgeedge with one V(1)O6 octahedra,  an edgeedge with one V(2)O6 octahedra,  an edgeedge with one V(3)O6 octahedra,  an edgeedge with one V(4)O6 octahedra,  an edgeedge with one V(5)O6 octahedra,  an edgeedge with one V(6)O6 octahedra, and edges with three equivalent Li(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 8-10°. In the second Li site, Li(2) is bonded to one O(1), one O(2), one O(3), one O(4), one O(5), and one O(6) atom to form LiO6 octahedra that share  a cornercorner with one V(1)O6 octahedra,  a cornercorner with one V(2)O6 octahedra,  a cornercorner with one V(3)O6 octahedra,  a cornercorner with one V(4)O6 octahedra,  a cornercorner with one V(5)O6 octahedra,  a cornercorner with one V(6)O6 octahedra,  an edgeedge with one V(1)O6 octahedra,  an edgeedge with one V(2)O6 octahedra,  an edgeedge with one V(3)O6 octahedra,  an edgeedge with one V(4)O6 octahedra,  an edgeedge with one V(5)O6 octahedra,  an edgeedge with one V(6)O6 octahedra, and edges with three equivalent Li(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 6-10°. There are six inequivalent V sites. In the first V site, V(1) is bonded to two equivalent O(2), two equivalent O(4), and two equivalent O(6) atoms to form VO6 octahedra that share corners with two equivalent Li(1)O6 octahedra, corners with two equivalent Li(2)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with three equivalent V(2)O6 octahedra, and edges with three equivalent V(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 9-10°. In the second V site, V(2) is bonded to two equivalent O(2), two equivalent O(4), and two equivalent O(6) atoms to form VO6 octahedra that share corners with two equivalent Li(1)O6 octahedra, corners with two equivalent Li(2)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with three equivalent V(1)O6 octahedra, and edges with three equivalent V(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 8-10°. In the third V site, V(3) is bonded to two equivalent O(2), two equivalent O(4), and two equivalent O(6) atoms to form VO6 octahedra that share corners with two equivalent Li(1)O6 octahedra, corners with two equivalent Li(2)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with three equivalent V(1)O6 octahedra, and edges with three equivalent V(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 6-8°. In the fourth V site, V(4) is bonded to two equivalent O(1), two equivalent O(3), and two equivalent O(5) atoms to form VO6 octahedra that share corners with two equivalent Li(1)O6 octahedra, corners with two equivalent Li(2)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with three equivalent V(5)O6 octahedra, and edges with three equivalent V(6)O6 octahedra. The corner-sharing octahedral tilt angles are 8°. In the fifth V site, V(5) is bonded to two equivalent O(1), two equivalent O(3), and two equivalent O(5) atoms to form VO6 octahedra that share corners with two equivalent Li(1)O6 octahedra, corners with two equivalent Li(2)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with three equivalent V(4)O6 octahedra, and edges with three equivalent V(6)O6 octahedra. The corner-sharing octahedral tilt angles are 10°. In the sixth V site, V(6) is bonded to two equivalent O(1), two equivalent O(3), and two equivalent O(5) atoms to form VO6 octahedra that share corners with two equivalent Li(1)O6 octahedra, corners with two equivalent Li(2)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with three equivalent V(4)O6 octahedra, and edges with three equivalent V(5)O6 octahedra. The corner-sharing octahedral tilt angles are 10°. There are six inequivalent O sites. In the first O site, O(1) is bonded to one Li(1), one Li(2), one V(4), one V(5), and one V(6) atom to form a mixture of corner and edge-sharing OLi2V3 square pyramids. In the second O site, O(2) is bonded to one Li(1), one Li(2), one V(1), one V(2), and one V(3) atom to form a mixture of corner and edge-sharing OLi2V3 square pyramids. In the third O site, O(3) is bonded to one Li(1), one Li(2), one V(4), one V(5), and one V(6) atom to form a mixture of corner and edge-sharing OLi2V3 square pyramids. In the fourth O site, O(4) is bonded to one Li(1), one Li(2), one V(1), one V(2), and one V(3) atom to form a mixture of corner and edge-sharing OLi2V3 square pyramids. In the fifth O site, O(5) is bonded to one Li(1), one Li(2), one V(4), one V(5), and one V(6) atom to form a mixture of corner and edge-sharing OLi2V3 square pyramids. In the sixth O site, O(6) is bonded to one Li(1), one Li(2), one V(1), one V(2), and one V(3) atom to form a mixture of corner and edge-sharing OLi2V3 square pyramids. is represented by the Crystallographic Information File (CIF) [CIF]
data_Li2V3O6
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.173
_cell_length_b   5.172
_cell_length_c   10.072
_cell_angle_alpha   95.468
_cell_angle_beta   95.474
_cell_angle_gamma   120.316
_symmetry_Int_Tables_number   1
_cell_volume   228.320
_cell_formula_units_Z   2
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  0.164  0.827  0.500  1.0
  Li  Li1  1  0.673  0.336  1.000  1.0
  Li  Li2  1  0.332  0.674  0.000  1.0
  Li  Li3  1  0.826  0.168  0.500  1.0
  V  V4  1  0.250  0.250  0.750  1.0
  V  V5  1  0.588  0.912  0.750  1.0
  V  V6  1  0.915  0.585  0.750  1.0
  V  V7  1  0.750  0.750  0.250  1.0
  V  V8  1  0.085  0.415  0.250  1.0
  V  V9  1  0.415  0.085  0.250  1.0
  O  O10  1  0.403  0.403  0.142  1.0
  O  O11  1  0.889  0.875  0.641  1.0
  O  O12  1  0.097  0.097  0.358  1.0
  O  O13  1  0.625  0.611  0.859  1.0
  O  O14  1  0.038  0.700  0.142  1.0
  O  O15  1  0.550  0.206  0.642  1.0
  O  O16  1  0.699  0.037  0.141  1.0
  O  O17  1  0.191  0.546  0.641  1.0
  O  O18  1  0.800  0.462  0.358  1.0
  O  O19  1  0.294  0.950  0.858  1.0
  O  O20  1  0.463  0.801  0.359  1.0
  O  O21  1  0.955  0.309  0.859  1.0
[/CIF]
.
The crystal structure described by Li2V3O6 crystallizes in the monoclinic C2 space group. There are two inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(1), one O(2), one O(3), one O(4), one O(5), and one O(6) atom to form LiO6 octahedra that share  a cornercorner with one V(1)O6 octahedra,  a cornercorner with one V(2)O6 octahedra,  a cornercorner with one V(3)O6 octahedra,  a cornercorner with one V(4)O6 octahedra,  a cornercorner with one V(5)O6 octahedra,  a cornercorner with one V(6)O6 octahedra,  an edgeedge with one V(1)O6 octahedra,  an edgeedge with one V(2)O6 octahedra,  an edgeedge with one V(3)O6 octahedra,  an edgeedge with one V(4)O6 octahedra,  an edgeedge with one V(5)O6 octahedra,  an edgeedge with one V(6)O6 octahedra, and edges with three equivalent Li(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 8-10°. In the second Li site, Li(2) is bonded to one O(1), one O(2), one O(3), one O(4), one O(5), and one O(6) atom to form LiO6 octahedra that share  a cornercorner with one V(1)O6 octahedra,  a cornercorner with one V(2)O6 octahedra,  a cornercorner with one V(3)O6 octahedra,  a cornercorner with one V(4)O6 octahedra,  a cornercorner with one V(5)O6 octahedra,  a cornercorner with one V(6)O6 octahedra,  an edgeedge with one V(1)O6 octahedra,  an edgeedge with one V(2)O6 octahedra,  an edgeedge with one V(3)O6 octahedra,  an edgeedge with one V(4)O6 octahedra,  an edgeedge with one V(5)O6 octahedra,  an edgeedge with one V(6)O6 octahedra, and edges with three equivalent Li(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 6-10°. There are six inequivalent V sites. In the first V site, V(1) is bonded to two equivalent O(2), two equivalent O(4), and two equivalent O(6) atoms to form VO6 octahedra that share corners with two equivalent Li(1)O6 octahedra, corners with two equivalent Li(2)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with three equivalent V(2)O6 octahedra, and edges with three equivalent V(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 9-10°. In the second V site, V(2) is bonded to two equivalent O(2), two equivalent O(4), and two equivalent O(6) atoms to form VO6 octahedra that share corners with two equivalent Li(1)O6 octahedra, corners with two equivalent Li(2)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with three equivalent V(1)O6 octahedra, and edges with three equivalent V(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 8-10°. In the third V site, V(3) is bonded to two equivalent O(2), two equivalent O(4), and two equivalent O(6) atoms to form VO6 octahedra that share corners with two equivalent Li(1)O6 octahedra, corners with two equivalent Li(2)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with three equivalent V(1)O6 octahedra, and edges with three equivalent V(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 6-8°. In the fourth V site, V(4) is bonded to two equivalent O(1), two equivalent O(3), and two equivalent O(5) atoms to form VO6 octahedra that share corners with two equivalent Li(1)O6 octahedra, corners with two equivalent Li(2)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with three equivalent V(5)O6 octahedra, and edges with three equivalent V(6)O6 octahedra. The corner-sharing octahedral tilt angles are 8°. In the fifth V site, V(5) is bonded to two equivalent O(1), two equivalent O(3), and two equivalent O(5) atoms to form VO6 octahedra that share corners with two equivalent Li(1)O6 octahedra, corners with two equivalent Li(2)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with three equivalent V(4)O6 octahedra, and edges with three equivalent V(6)O6 octahedra. The corner-sharing octahedral tilt angles are 10°. In the sixth V site, V(6) is bonded to two equivalent O(1), two equivalent O(3), and two equivalent O(5) atoms to form VO6 octahedra that share corners with two equivalent Li(1)O6 octahedra, corners with two equivalent Li(2)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with three equivalent V(4)O6 octahedra, and edges with three equivalent V(5)O6 octahedra. The corner-sharing octahedral tilt angles are 10°. There are six inequivalent O sites. In the first O site, O(1) is bonded to one Li(1), one Li(2), one V(4), one V(5), and one V(6) atom to form a mixture of corner and edge-sharing OLi2V3 square pyramids. In the second O site, O(2) is bonded to one Li(1), one Li(2), one V(1), one V(2), and one V(3) atom to form a mixture of corner and edge-sharing OLi2V3 square pyramids. In the third O site, O(3) is bonded to one Li(1), one Li(2), one V(4), one V(5), and one V(6) atom to form a mixture of corner and edge-sharing OLi2V3 square pyramids. In the fourth O site, O(4) is bonded to one Li(1), one Li(2), one V(1), one V(2), and one V(3) atom to form a mixture of corner and edge-sharing OLi2V3 square pyramids. In the fifth O site, O(5) is bonded to one Li(1), one Li(2), one V(4), one V(5), and one V(6) atom to form a mixture of corner and edge-sharing OLi2V3 square pyramids. In the sixth O site, O(6) is bonded to one Li(1), one Li(2), one V(1), one V(2), and one V(3) atom to form a mixture of corner and edge-sharing OLi2V3 square pyramids. is represented by the Crystallographic Information File (CIF) [CIF]
data_Li2V3O6
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.173
_cell_length_b   5.172
_cell_length_c   10.072
_cell_angle_alpha   95.468
_cell_angle_beta   95.474
_cell_angle_gamma   120.316
_symmetry_Int_Tables_number   1
_cell_volume   228.320
_cell_formula_units_Z   2
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  0.164  0.827  0.500  1.0
  Li  Li1  1  0.673  0.336  1.000  1.0
  Li  Li2  1  0.332  0.674  0.000  1.0
  Li  Li3  1  0.826  0.168  0.500  1.0
  V  V4  1  0.250  0.250  0.750  1.0
  V  V5  1  0.588  0.912  0.750  1.0
  V  V6  1  0.915  0.585  0.750  1.0
  V  V7  1  0.750  0.750  0.250  1.0
  V  V8  1  0.085  0.415  0.250  1.0
  V  V9  1  0.415  0.085  0.250  1.0
  O  O10  1  0.403  0.403  0.142  1.0
  O  O11  1  0.889  0.875  0.641  1.0
  O  O12  1  0.097  0.097  0.358  1.0
  O  O13  1  0.625  0.611  0.859  1.0
  O  O14  1  0.038  0.700  0.142  1.0
  O  O15  1  0.550  0.206  0.642  1.0
  O  O16  1  0.699  0.037  0.141  1.0
  O  O17  1  0.191  0.546  0.641  1.0
  O  O18  1  0.800  0.462  0.358  1.0
  O  O19  1  0.294  0.950  0.858  1.0
  O  O20  1  0.463  0.801  0.359  1.0
  O  O21  1  0.955  0.309  0.859  1.0
[/CIF]
.