The structure described by Lu2V2O7 crystallizes in the cubic Fd-3m space group. Lu(1) is bonded in a distorted body-centered cubic geometry to two equivalent O(1) and six equivalent O(2) atoms. V(1) is bonded to six equivalent O(2) atoms to form corner-sharing VO6 octahedra. The corner-sharing octahedral tilt angles are 51°. There are two inequivalent O sites. In the first O site, O(1) is bonded to four equivalent Lu(1) atoms to form OLu4 tetrahedra that share corners with four equivalent O(1)Lu4 tetrahedra, corners with twelve equivalent O(2)Lu2V2 tetrahedra, and edges with six equivalent O(2)Lu2V2 tetrahedra. In the second O site, O(2) is bonded to two equivalent Lu(1) and two equivalent V(1) atoms to form distorted OLu2V2 tetrahedra that share corners with two equivalent O(1)Lu4 tetrahedra, corners with twelve equivalent O(2)Lu2V2 tetrahedra,  an edgeedge with one O(1)Lu4 tetrahedra, and edges with four equivalent O(2)Lu2V2 tetrahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_Lu2V2O7
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.973
_cell_length_b   6.973
_cell_length_c   6.973
_cell_angle_alpha   60.003
_cell_angle_beta   60.001
_cell_angle_gamma   60.001
_symmetry_Int_Tables_number   1
_cell_volume   239.742
_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
  Lu  Lu0  1  0.625  0.625  0.625  1.0
  Lu  Lu1  1  0.125  0.625  0.625  1.0
  Lu  Lu2  1  0.625  0.625  0.125  1.0
  Lu  Lu3  1  0.625  0.125  0.625  1.0
  V  V4  1  0.125  0.125  0.125  1.0
  V  V5  1  0.625  0.125  0.125  1.0
  V  V6  1  0.125  0.125  0.625  1.0
  V  V7  1  0.125  0.625  0.125  1.0
  O  O8  1  0.750  0.750  0.750  1.0
  O  O9  1  0.500  0.500  0.500  1.0
  O  O10  1  0.791  0.209  0.209  1.0
  O  O11  1  0.041  0.459  0.459  1.0
  O  O12  1  0.209  0.209  0.791  1.0
  O  O13  1  0.791  0.209  0.791  1.0
  O  O14  1  0.209  0.791  0.209  1.0
  O  O15  1  0.791  0.791  0.209  1.0
  O  O16  1  0.209  0.791  0.791  1.0
  O  O17  1  0.041  0.041  0.459  1.0
  O  O18  1  0.459  0.459  0.041  1.0
  O  O19  1  0.041  0.459  0.041  1.0
  O  O20  1  0.459  0.041  0.459  1.0
  O  O21  1  0.459  0.041  0.041  1.0
[/CIF]
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The structure described by Lu2V2O7 crystallizes in the cubic Fd-3m space group. Lu(1) is bonded in a distorted body-centered cubic geometry to two equivalent O(1) and six equivalent O(2) atoms. V(1) is bonded to six equivalent O(2) atoms to form corner-sharing VO6 octahedra. The corner-sharing octahedral tilt angles are 51°. There are two inequivalent O sites. In the first O site, O(1) is bonded to four equivalent Lu(1) atoms to form OLu4 tetrahedra that share corners with four equivalent O(1)Lu4 tetrahedra, corners with twelve equivalent O(2)Lu2V2 tetrahedra, and edges with six equivalent O(2)Lu2V2 tetrahedra. In the second O site, O(2) is bonded to two equivalent Lu(1) and two equivalent V(1) atoms to form distorted OLu2V2 tetrahedra that share corners with two equivalent O(1)Lu4 tetrahedra, corners with twelve equivalent O(2)Lu2V2 tetrahedra,  an edgeedge with one O(1)Lu4 tetrahedra, and edges with four equivalent O(2)Lu2V2 tetrahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_Lu2V2O7
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.973
_cell_length_b   6.973
_cell_length_c   6.973
_cell_angle_alpha   60.003
_cell_angle_beta   60.001
_cell_angle_gamma   60.001
_symmetry_Int_Tables_number   1
_cell_volume   239.742
_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
  Lu  Lu0  1  0.625  0.625  0.625  1.0
  Lu  Lu1  1  0.125  0.625  0.625  1.0
  Lu  Lu2  1  0.625  0.625  0.125  1.0
  Lu  Lu3  1  0.625  0.125  0.625  1.0
  V  V4  1  0.125  0.125  0.125  1.0
  V  V5  1  0.625  0.125  0.125  1.0
  V  V6  1  0.125  0.125  0.625  1.0
  V  V7  1  0.125  0.625  0.125  1.0
  O  O8  1  0.750  0.750  0.750  1.0
  O  O9  1  0.500  0.500  0.500  1.0
  O  O10  1  0.791  0.209  0.209  1.0
  O  O11  1  0.041  0.459  0.459  1.0
  O  O12  1  0.209  0.209  0.791  1.0
  O  O13  1  0.791  0.209  0.791  1.0
  O  O14  1  0.209  0.791  0.209  1.0
  O  O15  1  0.791  0.791  0.209  1.0
  O  O16  1  0.209  0.791  0.791  1.0
  O  O17  1  0.041  0.041  0.459  1.0
  O  O18  1  0.459  0.459  0.041  1.0
  O  O19  1  0.041  0.459  0.041  1.0
  O  O20  1  0.459  0.041  0.459  1.0
  O  O21  1  0.459  0.041  0.041  1.0
[/CIF]
.