The compound described by VK3 is beta Cu3Ti-like structured and crystallizes in the tetragonal I4/mmm space group. There are two inequivalent K sites. In the first K site, K(1) is bonded to four equivalent K(2) and four equivalent V(1) atoms to form distorted KK4V4 cuboctahedra that share corners with eight equivalent K(1)K4V4 cuboctahedra, corners with eight equivalent K(2)K8V4 cuboctahedra, corners with eight equivalent V(1)K12 cuboctahedra, edges with four equivalent K(2)K8V4 cuboctahedra, edges with four equivalent V(1)K12 cuboctahedra, edges with twelve equivalent K(1)K4V4 cuboctahedra, and faces with six equivalent K(1)K4V4 cuboctahedra. In the second K site, K(2) is bonded to eight equivalent K(1) and four equivalent V(1) atoms to form distorted KK8V4 cuboctahedra that share corners with four equivalent K(2)K8V4 cuboctahedra, corners with eight equivalent V(1)K12 cuboctahedra, corners with sixteen equivalent K(1)K4V4 cuboctahedra, edges with eight equivalent K(1)K4V4 cuboctahedra, edges with eight equivalent K(2)K8V4 cuboctahedra, faces with four equivalent K(2)K8V4 cuboctahedra, and faces with six equivalent V(1)K12 cuboctahedra. V(1) is bonded to four equivalent K(2) and eight equivalent K(1) atoms to form VK12 cuboctahedra that share corners with four equivalent V(1)K12 cuboctahedra, corners with eight equivalent K(2)K8V4 cuboctahedra, corners with sixteen equivalent K(1)K4V4 cuboctahedra, edges with eight equivalent K(1)K4V4 cuboctahedra, edges with eight equivalent V(1)K12 cuboctahedra, faces with four equivalent V(1)K12 cuboctahedra, and faces with six equivalent K(2)K8V4 cuboctahedra. is represented by the CIF card [CIF]
data_K3V
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   7.028
_cell_length_b   7.028
_cell_length_c   7.028
_cell_angle_alpha   130.706
_cell_angle_beta   130.706
_cell_angle_gamma   72.280
_symmetry_Int_Tables_number   1
_cell_volume   194.998
_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
  K  K0  1  0.750  0.250  0.500  1.0
  K  K1  1  0.250  0.750  0.500  1.0
  K  K2  1  0.500  0.500  0.000  1.0
  V  V3  1  0.000  0.000  0.000  1.0
[/CIF]
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The compound described by VK3 is beta Cu3Ti-like structured and crystallizes in the tetragonal I4/mmm space group. There are two inequivalent K sites. In the first K site, K(1) is bonded to four equivalent K(2) and four equivalent V(1) atoms to form distorted KK4V4 cuboctahedra that share corners with eight equivalent K(1)K4V4 cuboctahedra, corners with eight equivalent K(2)K8V4 cuboctahedra, corners with eight equivalent V(1)K12 cuboctahedra, edges with four equivalent K(2)K8V4 cuboctahedra, edges with four equivalent V(1)K12 cuboctahedra, edges with twelve equivalent K(1)K4V4 cuboctahedra, and faces with six equivalent K(1)K4V4 cuboctahedra. In the second K site, K(2) is bonded to eight equivalent K(1) and four equivalent V(1) atoms to form distorted KK8V4 cuboctahedra that share corners with four equivalent K(2)K8V4 cuboctahedra, corners with eight equivalent V(1)K12 cuboctahedra, corners with sixteen equivalent K(1)K4V4 cuboctahedra, edges with eight equivalent K(1)K4V4 cuboctahedra, edges with eight equivalent K(2)K8V4 cuboctahedra, faces with four equivalent K(2)K8V4 cuboctahedra, and faces with six equivalent V(1)K12 cuboctahedra. V(1) is bonded to four equivalent K(2) and eight equivalent K(1) atoms to form VK12 cuboctahedra that share corners with four equivalent V(1)K12 cuboctahedra, corners with eight equivalent K(2)K8V4 cuboctahedra, corners with sixteen equivalent K(1)K4V4 cuboctahedra, edges with eight equivalent K(1)K4V4 cuboctahedra, edges with eight equivalent V(1)K12 cuboctahedra, faces with four equivalent V(1)K12 cuboctahedra, and faces with six equivalent K(2)K8V4 cuboctahedra. is represented by the CIF card [CIF]
data_K3V
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   7.028
_cell_length_b   7.028
_cell_length_c   7.028
_cell_angle_alpha   130.706
_cell_angle_beta   130.706
_cell_angle_gamma   72.280
_symmetry_Int_Tables_number   1
_cell_volume   194.998
_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
  K  K0  1  0.750  0.250  0.500  1.0
  K  K1  1  0.250  0.750  0.500  1.0
  K  K2  1  0.500  0.500  0.000  1.0
  V  V3  1  0.000  0.000  0.000  1.0
[/CIF]
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