The structure described by Ba8V7O22 crystallizes in the trigonal R-3m space group. There are four inequivalent Ba sites. In the first Ba site, Ba(1) is bonded in a 10-coordinate geometry to one O(1), three equivalent O(5), and six equivalent O(3) atoms. In the second Ba site, Ba(2) is bonded in a 10-coordinate geometry to one O(2) and nine equivalent O(4) atoms. In the third Ba site, Ba(3) is bonded to three equivalent O(3) and three equivalent O(4) atoms to form distorted BaO6 cuboctahedra that share corners with three equivalent V(2)O4 tetrahedra, corners with three equivalent V(3)O4 tetrahedra, and  a faceface with one V(4)O6 octahedra. In the fourth Ba site, Ba(4) is bonded in a 9-coordinate geometry to nine equivalent O(5) atoms. There are four inequivalent V sites. In the first V site, V(1) is bonded to six equivalent O(5) atoms to form face-sharing VO6 octahedra. In the second V site, V(2) is bonded to one O(2) and three equivalent O(3) atoms to form VO4 tetrahedra that share corners with three equivalent Ba(3)O6 cuboctahedra and corners with three equivalent V(4)O6 octahedra. The corner-sharing octahedral tilt angles are 15°. In the third V site, V(3) is bonded to one O(1) and three equivalent O(4) atoms to form VO4 tetrahedra that share corners with three equivalent Ba(3)O6 cuboctahedra. In the fourth V site, V(4) is bonded to three equivalent O(3) and three equivalent O(5) atoms to form VO6 octahedra that share corners with three equivalent V(2)O4 tetrahedra,  a faceface with one Ba(3)O6 cuboctahedra, and  a faceface with one V(1)O6 octahedra. There are five inequivalent O sites. In the first O site, O(1) is bonded in a distorted single-bond geometry to one Ba(1) and one V(3) atom. In the second O site, O(2) is bonded in a distorted linear geometry to one Ba(2) and one V(2) atom. In the third O site, O(3) is bonded in a 2-coordinate geometry to one Ba(3), two equivalent Ba(1), one V(2), and one V(4) atom. In the fourth O site, O(4) is bonded in a distorted single-bond geometry to one Ba(3), three equivalent Ba(2), and one V(3) atom. In the fifth O site, O(5) is bonded to one Ba(1), three equivalent Ba(4), one V(1), and one V(4) atom to form a mixture of distorted edge, face, and corner-sharing OBa4V2 octahedra. The corner-sharing octahedral tilt angles range from 0-62°. is represented by the CIF file [CIF]
data_Ba8V7O22
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   19.777
_cell_length_b   19.777
_cell_length_c   19.777
_cell_angle_alpha   17.122
_cell_angle_beta   17.122
_cell_angle_gamma   17.122
_symmetry_Int_Tables_number   1
_cell_volume   584.972
_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
  Ba  Ba0  1  0.612  0.612  0.612  1.0
  Ba  Ba1  1  0.388  0.388  0.388  1.0
  Ba  Ba2  1  0.819  0.819  0.819  1.0
  Ba  Ba3  1  0.181  0.181  0.181  1.0
  Ba  Ba4  1  0.894  0.894  0.894  1.0
  Ba  Ba5  1  0.106  0.106  0.106  1.0
  Ba  Ba6  1  0.681  0.681  0.681  1.0
  Ba  Ba7  1  0.319  0.319  0.319  1.0
  V  V8  1  0.000  0.000  0.000  1.0
  V  V9  1  0.744  0.744  0.744  1.0
  V  V10  1  0.256  0.256  0.256  1.0
  V  V11  1  0.535  0.535  0.535  1.0
  V  V12  1  0.465  0.465  0.465  1.0
  V  V13  1  0.955  0.955  0.955  1.0
  V  V14  1  0.045  0.045  0.045  1.0
  O  O15  1  0.564  0.564  0.564  1.0
  O  O16  1  0.436  0.436  0.436  1.0
  O  O17  1  0.774  0.774  0.774  1.0
  O  O18  1  0.226  0.226  0.226  1.0
  O  O19  1  0.593  0.104  0.104  1.0
  O  O20  1  0.104  0.593  0.104  1.0
  O  O21  1  0.104  0.104  0.593  1.0
  O  O22  1  0.896  0.896  0.407  1.0
  O  O23  1  0.407  0.896  0.896  1.0
  O  O24  1  0.896  0.407  0.896  1.0
  O  O25  1  0.200  0.686  0.686  1.0
  O  O26  1  0.686  0.200  0.686  1.0
  O  O27  1  0.686  0.686  0.200  1.0
  O  O28  1  0.314  0.314  0.800  1.0
  O  O29  1  0.800  0.314  0.314  1.0
  O  O30  1  0.174  0.717  0.174  1.0
  O  O31  1  0.717  0.174  0.174  1.0
  O  O32  1  0.174  0.174  0.717  1.0
  O  O33  1  0.826  0.826  0.283  1.0
  O  O34  1  0.826  0.283  0.826  1.0
  O  O35  1  0.283  0.826  0.826  1.0
  O  O36  1  0.314  0.800  0.314  1.0
[/CIF]
.
The structure described by Ba8V7O22 crystallizes in the trigonal R-3m space group. There are four inequivalent Ba sites. In the first Ba site, Ba(1) is bonded in a 10-coordinate geometry to one O(1), three equivalent O(5), and six equivalent O(3) atoms. In the second Ba site, Ba(2) is bonded in a 10-coordinate geometry to one O(2) and nine equivalent O(4) atoms. In the third Ba site, Ba(3) is bonded to three equivalent O(3) and three equivalent O(4) atoms to form distorted BaO6 cuboctahedra that share corners with three equivalent V(2)O4 tetrahedra, corners with three equivalent V(3)O4 tetrahedra, and  a faceface with one V(4)O6 octahedra. In the fourth Ba site, Ba(4) is bonded in a 9-coordinate geometry to nine equivalent O(5) atoms. There are four inequivalent V sites. In the first V site, V(1) is bonded to six equivalent O(5) atoms to form face-sharing VO6 octahedra. In the second V site, V(2) is bonded to one O(2) and three equivalent O(3) atoms to form VO4 tetrahedra that share corners with three equivalent Ba(3)O6 cuboctahedra and corners with three equivalent V(4)O6 octahedra. The corner-sharing octahedral tilt angles are 15°. In the third V site, V(3) is bonded to one O(1) and three equivalent O(4) atoms to form VO4 tetrahedra that share corners with three equivalent Ba(3)O6 cuboctahedra. In the fourth V site, V(4) is bonded to three equivalent O(3) and three equivalent O(5) atoms to form VO6 octahedra that share corners with three equivalent V(2)O4 tetrahedra,  a faceface with one Ba(3)O6 cuboctahedra, and  a faceface with one V(1)O6 octahedra. There are five inequivalent O sites. In the first O site, O(1) is bonded in a distorted single-bond geometry to one Ba(1) and one V(3) atom. In the second O site, O(2) is bonded in a distorted linear geometry to one Ba(2) and one V(2) atom. In the third O site, O(3) is bonded in a 2-coordinate geometry to one Ba(3), two equivalent Ba(1), one V(2), and one V(4) atom. In the fourth O site, O(4) is bonded in a distorted single-bond geometry to one Ba(3), three equivalent Ba(2), and one V(3) atom. In the fifth O site, O(5) is bonded to one Ba(1), three equivalent Ba(4), one V(1), and one V(4) atom to form a mixture of distorted edge, face, and corner-sharing OBa4V2 octahedra. The corner-sharing octahedral tilt angles range from 0-62°. is represented by the CIF file [CIF]
data_Ba8V7O22
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   19.777
_cell_length_b   19.777
_cell_length_c   19.777
_cell_angle_alpha   17.122
_cell_angle_beta   17.122
_cell_angle_gamma   17.122
_symmetry_Int_Tables_number   1
_cell_volume   584.972
_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
  Ba  Ba0  1  0.612  0.612  0.612  1.0
  Ba  Ba1  1  0.388  0.388  0.388  1.0
  Ba  Ba2  1  0.819  0.819  0.819  1.0
  Ba  Ba3  1  0.181  0.181  0.181  1.0
  Ba  Ba4  1  0.894  0.894  0.894  1.0
  Ba  Ba5  1  0.106  0.106  0.106  1.0
  Ba  Ba6  1  0.681  0.681  0.681  1.0
  Ba  Ba7  1  0.319  0.319  0.319  1.0
  V  V8  1  0.000  0.000  0.000  1.0
  V  V9  1  0.744  0.744  0.744  1.0
  V  V10  1  0.256  0.256  0.256  1.0
  V  V11  1  0.535  0.535  0.535  1.0
  V  V12  1  0.465  0.465  0.465  1.0
  V  V13  1  0.955  0.955  0.955  1.0
  V  V14  1  0.045  0.045  0.045  1.0
  O  O15  1  0.564  0.564  0.564  1.0
  O  O16  1  0.436  0.436  0.436  1.0
  O  O17  1  0.774  0.774  0.774  1.0
  O  O18  1  0.226  0.226  0.226  1.0
  O  O19  1  0.593  0.104  0.104  1.0
  O  O20  1  0.104  0.593  0.104  1.0
  O  O21  1  0.104  0.104  0.593  1.0
  O  O22  1  0.896  0.896  0.407  1.0
  O  O23  1  0.407  0.896  0.896  1.0
  O  O24  1  0.896  0.407  0.896  1.0
  O  O25  1  0.200  0.686  0.686  1.0
  O  O26  1  0.686  0.200  0.686  1.0
  O  O27  1  0.686  0.686  0.200  1.0
  O  O28  1  0.314  0.314  0.800  1.0
  O  O29  1  0.800  0.314  0.314  1.0
  O  O30  1  0.174  0.717  0.174  1.0
  O  O31  1  0.717  0.174  0.174  1.0
  O  O32  1  0.174  0.174  0.717  1.0
  O  O33  1  0.826  0.826  0.283  1.0
  O  O34  1  0.826  0.283  0.826  1.0
  O  O35  1  0.283  0.826  0.826  1.0
  O  O36  1  0.314  0.800  0.314  1.0
[/CIF]
.