The crystal structure described by KNa7V7CrO24 is (Cubic) Perovskite-derived structured and crystallizes in the trigonal R3m space group. K(1) is bonded to three equivalent O(1), three equivalent O(3), and six equivalent O(2) atoms to form KO12 cuboctahedra that share corners with twelve equivalent Na(2)O12 cuboctahedra, faces with six equivalent Na(1)O12 cuboctahedra,  a faceface with one V(3)O6 octahedra,  a faceface with one Cr(1)O6 octahedra, faces with three equivalent V(1)O6 octahedra, and faces with three equivalent V(2)O6 octahedra. There are three inequivalent Na sites. In the first Na site, Na(1) is bonded to one O(4), one O(6), two equivalent O(1), two equivalent O(3), two equivalent O(5), and four equivalent O(2) atoms to form NaO12 cuboctahedra that share corners with four equivalent Na(3)O12 cuboctahedra, corners with eight equivalent Na(1)O12 cuboctahedra, faces with two equivalent K(1)O12 cuboctahedra, faces with four equivalent Na(2)O12 cuboctahedra,  a faceface with one V(3)O6 octahedra,  a faceface with one Cr(1)O6 octahedra, faces with three equivalent V(1)O6 octahedra, and faces with three equivalent V(2)O6 octahedra. In the second Na site, Na(2) is bonded to one O(1), one O(3), two equivalent O(2), two equivalent O(4), two equivalent O(6), and four equivalent O(5) atoms to form NaO12 cuboctahedra that share corners with four equivalent K(1)O12 cuboctahedra, corners with eight equivalent Na(2)O12 cuboctahedra, faces with two equivalent Na(3)O12 cuboctahedra, faces with four equivalent Na(1)O12 cuboctahedra,  a faceface with one V(3)O6 octahedra,  a faceface with one Cr(1)O6 octahedra, faces with three equivalent V(1)O6 octahedra, and faces with three equivalent V(2)O6 octahedra. In the third Na site, Na(3) is bonded to three equivalent O(4), three equivalent O(6), and six equivalent O(5) atoms to form NaO12 cuboctahedra that share corners with twelve equivalent Na(1)O12 cuboctahedra, faces with six equivalent Na(2)O12 cuboctahedra,  a faceface with one V(3)O6 octahedra,  a faceface with one Cr(1)O6 octahedra, faces with three equivalent V(1)O6 octahedra, and faces with three equivalent V(2)O6 octahedra. There are three inequivalent V sites. In the first V site, V(1) is bonded to one O(1), one O(4), two equivalent O(2), and two equivalent O(5) atoms to form VO6 octahedra that share corners with two equivalent Cr(1)O6 octahedra, corners with four equivalent V(2)O6 octahedra,  a faceface with one K(1)O12 cuboctahedra,  a faceface with one Na(3)O12 cuboctahedra, faces with three equivalent Na(1)O12 cuboctahedra, and faces with three equivalent Na(2)O12 cuboctahedra. The corner-sharing octahedral tilt angles range from 0-1°. In the second V site, V(2) is bonded to one O(3), one O(6), two equivalent O(2), and two equivalent O(5) atoms to form VO6 octahedra that share corners with two equivalent V(3)O6 octahedra, corners with four equivalent V(1)O6 octahedra,  a faceface with one K(1)O12 cuboctahedra,  a faceface with one Na(3)O12 cuboctahedra, faces with three equivalent Na(1)O12 cuboctahedra, and faces with three equivalent Na(2)O12 cuboctahedra. The corner-sharing octahedral tilt angles range from 0-1°. In the third V site, V(3) is bonded to three equivalent O(3) and three equivalent O(6) atoms to form VO6 octahedra that share corners with six equivalent V(2)O6 octahedra,  a faceface with one K(1)O12 cuboctahedra,  a faceface with one Na(3)O12 cuboctahedra, faces with three equivalent Na(1)O12 cuboctahedra, and faces with three equivalent Na(2)O12 cuboctahedra. The corner-sharing octahedral tilt angles range from 0-1°. Cr(1) is bonded to three equivalent O(1) and three equivalent O(4) atoms to form CrO6 octahedra that share corners with six equivalent V(1)O6 octahedra,  a faceface with one K(1)O12 cuboctahedra,  a faceface with one Na(3)O12 cuboctahedra, faces with three equivalent Na(1)O12 cuboctahedra, and faces with three equivalent Na(2)O12 cuboctahedra. The corner-sharing octahedral tilt angles range from 0-1°. There are six inequivalent O sites. In the first O site, O(1) is bonded to one K(1), one Na(2), two equivalent Na(1), one V(1), and one Cr(1) atom to form distorted face-sharing OKNa3VCr octahedra. In the second O site, O(2) is bonded in a distorted linear geometry to one K(1), one Na(2), two equivalent Na(1), one V(1), and one V(2) atom. In the third O site, O(3) is bonded in a distorted linear geometry to one K(1), one Na(2), two equivalent Na(1), one V(2), and one V(3) atom. In the fourth O site, O(4) is bonded in a distorted linear geometry to one Na(1), one Na(3), two equivalent Na(2), one V(1), and one Cr(1) atom. In the fifth O site, O(5) is bonded in a distorted linear geometry to one Na(1), one Na(3), two equivalent Na(2), one V(1), and one V(2) atom. In the sixth O site, O(6) is bonded in a distorted linear geometry to one Na(1), one Na(3), two equivalent Na(2), one V(2), and one V(3) atom. is represented by the CIF file [CIF]
data_KNa7V7CrO24
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   7.582
_cell_length_b   7.582
_cell_length_c   7.582
_cell_angle_alpha   89.993
_cell_angle_beta   89.993
_cell_angle_gamma   89.993
_symmetry_Int_Tables_number   1
_cell_volume   435.857
_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  0.250  0.250  0.250  1.0
  Na  Na1  1  0.249  0.249  0.751  1.0
  Na  Na2  1  0.751  0.249  0.751  1.0
  Na  Na3  1  0.751  0.249  0.249  1.0
  Na  Na4  1  0.249  0.751  0.751  1.0
  Na  Na5  1  0.751  0.751  0.751  1.0
  Na  Na6  1  0.249  0.751  0.249  1.0
  Na  Na7  1  0.751  0.751  0.249  1.0
  V  V8  1  0.501  0.999  0.999  1.0
  V  V9  1  0.999  0.999  0.501  1.0
  V  V10  1  0.501  0.999  0.501  1.0
  V  V11  1  0.999  0.501  0.999  1.0
  V  V12  1  0.501  0.501  0.999  1.0
  V  V13  1  0.999  0.501  0.501  1.0
  V  V14  1  0.501  0.501  0.501  1.0
  Cr  Cr15  1  0.999  0.999  0.999  1.0
  O  O16  1  0.998  0.254  0.998  1.0
  O  O17  1  0.502  0.251  0.998  1.0
  O  O18  1  0.998  0.251  0.502  1.0
  O  O19  1  0.502  0.251  0.502  1.0
  O  O20  1  0.999  0.746  0.999  1.0
  O  O21  1  0.501  0.749  0.999  1.0
  O  O22  1  0.999  0.749  0.501  1.0
  O  O23  1  0.501  0.749  0.501  1.0
  O  O24  1  0.999  0.999  0.746  1.0
  O  O25  1  0.501  0.999  0.749  1.0
  O  O26  1  0.998  0.998  0.254  1.0
  O  O27  1  0.502  0.998  0.251  1.0
  O  O28  1  0.999  0.501  0.749  1.0
  O  O29  1  0.501  0.501  0.749  1.0
  O  O30  1  0.998  0.502  0.251  1.0
  O  O31  1  0.502  0.502  0.251  1.0
  O  O32  1  0.254  0.998  0.998  1.0
  O  O33  1  0.746  0.999  0.999  1.0
  O  O34  1  0.251  0.998  0.502  1.0
  O  O35  1  0.749  0.999  0.501  1.0
  O  O36  1  0.251  0.502  0.998  1.0
  O  O37  1  0.749  0.501  0.999  1.0
  O  O38  1  0.251  0.502  0.502  1.0
  O  O39  1  0.749  0.501  0.501  1.0
[/CIF]
.
The crystal structure described by KNa7V7CrO24 is (Cubic) Perovskite-derived structured and crystallizes in the trigonal R3m space group. K(1) is bonded to three equivalent O(1), three equivalent O(3), and six equivalent O(2) atoms to form KO12 cuboctahedra that share corners with twelve equivalent Na(2)O12 cuboctahedra, faces with six equivalent Na(1)O12 cuboctahedra,  a faceface with one V(3)O6 octahedra,  a faceface with one Cr(1)O6 octahedra, faces with three equivalent V(1)O6 octahedra, and faces with three equivalent V(2)O6 octahedra. There are three inequivalent Na sites. In the first Na site, Na(1) is bonded to one O(4), one O(6), two equivalent O(1), two equivalent O(3), two equivalent O(5), and four equivalent O(2) atoms to form NaO12 cuboctahedra that share corners with four equivalent Na(3)O12 cuboctahedra, corners with eight equivalent Na(1)O12 cuboctahedra, faces with two equivalent K(1)O12 cuboctahedra, faces with four equivalent Na(2)O12 cuboctahedra,  a faceface with one V(3)O6 octahedra,  a faceface with one Cr(1)O6 octahedra, faces with three equivalent V(1)O6 octahedra, and faces with three equivalent V(2)O6 octahedra. In the second Na site, Na(2) is bonded to one O(1), one O(3), two equivalent O(2), two equivalent O(4), two equivalent O(6), and four equivalent O(5) atoms to form NaO12 cuboctahedra that share corners with four equivalent K(1)O12 cuboctahedra, corners with eight equivalent Na(2)O12 cuboctahedra, faces with two equivalent Na(3)O12 cuboctahedra, faces with four equivalent Na(1)O12 cuboctahedra,  a faceface with one V(3)O6 octahedra,  a faceface with one Cr(1)O6 octahedra, faces with three equivalent V(1)O6 octahedra, and faces with three equivalent V(2)O6 octahedra. In the third Na site, Na(3) is bonded to three equivalent O(4), three equivalent O(6), and six equivalent O(5) atoms to form NaO12 cuboctahedra that share corners with twelve equivalent Na(1)O12 cuboctahedra, faces with six equivalent Na(2)O12 cuboctahedra,  a faceface with one V(3)O6 octahedra,  a faceface with one Cr(1)O6 octahedra, faces with three equivalent V(1)O6 octahedra, and faces with three equivalent V(2)O6 octahedra. There are three inequivalent V sites. In the first V site, V(1) is bonded to one O(1), one O(4), two equivalent O(2), and two equivalent O(5) atoms to form VO6 octahedra that share corners with two equivalent Cr(1)O6 octahedra, corners with four equivalent V(2)O6 octahedra,  a faceface with one K(1)O12 cuboctahedra,  a faceface with one Na(3)O12 cuboctahedra, faces with three equivalent Na(1)O12 cuboctahedra, and faces with three equivalent Na(2)O12 cuboctahedra. The corner-sharing octahedral tilt angles range from 0-1°. In the second V site, V(2) is bonded to one O(3), one O(6), two equivalent O(2), and two equivalent O(5) atoms to form VO6 octahedra that share corners with two equivalent V(3)O6 octahedra, corners with four equivalent V(1)O6 octahedra,  a faceface with one K(1)O12 cuboctahedra,  a faceface with one Na(3)O12 cuboctahedra, faces with three equivalent Na(1)O12 cuboctahedra, and faces with three equivalent Na(2)O12 cuboctahedra. The corner-sharing octahedral tilt angles range from 0-1°. In the third V site, V(3) is bonded to three equivalent O(3) and three equivalent O(6) atoms to form VO6 octahedra that share corners with six equivalent V(2)O6 octahedra,  a faceface with one K(1)O12 cuboctahedra,  a faceface with one Na(3)O12 cuboctahedra, faces with three equivalent Na(1)O12 cuboctahedra, and faces with three equivalent Na(2)O12 cuboctahedra. The corner-sharing octahedral tilt angles range from 0-1°. Cr(1) is bonded to three equivalent O(1) and three equivalent O(4) atoms to form CrO6 octahedra that share corners with six equivalent V(1)O6 octahedra,  a faceface with one K(1)O12 cuboctahedra,  a faceface with one Na(3)O12 cuboctahedra, faces with three equivalent Na(1)O12 cuboctahedra, and faces with three equivalent Na(2)O12 cuboctahedra. The corner-sharing octahedral tilt angles range from 0-1°. There are six inequivalent O sites. In the first O site, O(1) is bonded to one K(1), one Na(2), two equivalent Na(1), one V(1), and one Cr(1) atom to form distorted face-sharing OKNa3VCr octahedra. In the second O site, O(2) is bonded in a distorted linear geometry to one K(1), one Na(2), two equivalent Na(1), one V(1), and one V(2) atom. In the third O site, O(3) is bonded in a distorted linear geometry to one K(1), one Na(2), two equivalent Na(1), one V(2), and one V(3) atom. In the fourth O site, O(4) is bonded in a distorted linear geometry to one Na(1), one Na(3), two equivalent Na(2), one V(1), and one Cr(1) atom. In the fifth O site, O(5) is bonded in a distorted linear geometry to one Na(1), one Na(3), two equivalent Na(2), one V(1), and one V(2) atom. In the sixth O site, O(6) is bonded in a distorted linear geometry to one Na(1), one Na(3), two equivalent Na(2), one V(2), and one V(3) atom. is represented by the CIF file [CIF]
data_KNa7V7CrO24
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   7.582
_cell_length_b   7.582
_cell_length_c   7.582
_cell_angle_alpha   89.993
_cell_angle_beta   89.993
_cell_angle_gamma   89.993
_symmetry_Int_Tables_number   1
_cell_volume   435.857
_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  0.250  0.250  0.250  1.0
  Na  Na1  1  0.249  0.249  0.751  1.0
  Na  Na2  1  0.751  0.249  0.751  1.0
  Na  Na3  1  0.751  0.249  0.249  1.0
  Na  Na4  1  0.249  0.751  0.751  1.0
  Na  Na5  1  0.751  0.751  0.751  1.0
  Na  Na6  1  0.249  0.751  0.249  1.0
  Na  Na7  1  0.751  0.751  0.249  1.0
  V  V8  1  0.501  0.999  0.999  1.0
  V  V9  1  0.999  0.999  0.501  1.0
  V  V10  1  0.501  0.999  0.501  1.0
  V  V11  1  0.999  0.501  0.999  1.0
  V  V12  1  0.501  0.501  0.999  1.0
  V  V13  1  0.999  0.501  0.501  1.0
  V  V14  1  0.501  0.501  0.501  1.0
  Cr  Cr15  1  0.999  0.999  0.999  1.0
  O  O16  1  0.998  0.254  0.998  1.0
  O  O17  1  0.502  0.251  0.998  1.0
  O  O18  1  0.998  0.251  0.502  1.0
  O  O19  1  0.502  0.251  0.502  1.0
  O  O20  1  0.999  0.746  0.999  1.0
  O  O21  1  0.501  0.749  0.999  1.0
  O  O22  1  0.999  0.749  0.501  1.0
  O  O23  1  0.501  0.749  0.501  1.0
  O  O24  1  0.999  0.999  0.746  1.0
  O  O25  1  0.501  0.999  0.749  1.0
  O  O26  1  0.998  0.998  0.254  1.0
  O  O27  1  0.502  0.998  0.251  1.0
  O  O28  1  0.999  0.501  0.749  1.0
  O  O29  1  0.501  0.501  0.749  1.0
  O  O30  1  0.998  0.502  0.251  1.0
  O  O31  1  0.502  0.502  0.251  1.0
  O  O32  1  0.254  0.998  0.998  1.0
  O  O33  1  0.746  0.999  0.999  1.0
  O  O34  1  0.251  0.998  0.502  1.0
  O  O35  1  0.749  0.999  0.501  1.0
  O  O36  1  0.251  0.502  0.998  1.0
  O  O37  1  0.749  0.501  0.999  1.0
  O  O38  1  0.251  0.502  0.502  1.0
  O  O39  1  0.749  0.501  0.501  1.0
[/CIF]
.