The structure described by WCr3P6O24 crystallizes in the trigonal R3 space group. W(1) is bonded to three equivalent O(4) and three equivalent O(6) atoms to form WO6 octahedra that share corners with three equivalent P(1)O4 tetrahedra and corners with three equivalent P(2)O4 tetrahedra. There are three inequivalent Cr sites. In the first Cr site, Cr(1) is bonded to three equivalent O(2) and three equivalent O(5) atoms to form CrO6 octahedra that share corners with three equivalent P(1)O4 tetrahedra and corners with three equivalent P(2)O4 tetrahedra. In the second Cr site, Cr(2) is bonded to three equivalent O(1) and three equivalent O(3) atoms to form CrO6 octahedra that share corners with three equivalent P(1)O4 tetrahedra and corners with three equivalent P(2)O4 tetrahedra. In the third Cr site, Cr(3) is bonded to three equivalent O(7) and three equivalent O(8) atoms to form CrO6 octahedra that share corners with three equivalent P(1)O4 tetrahedra and corners with three equivalent P(2)O4 tetrahedra. There are two inequivalent P sites. In the first P site, P(1) is bonded to one O(2), one O(3), one O(4), and one O(8) atom to form PO4 tetrahedra that share  a cornercorner with one W(1)O6 octahedra,  a cornercorner with one Cr(1)O6 octahedra,  a cornercorner with one Cr(2)O6 octahedra, and  a cornercorner with one Cr(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 22-34°. In the second P site, P(2) is bonded to one O(1), one O(5), one O(6), and one O(7) atom to form PO4 tetrahedra that share  a cornercorner with one W(1)O6 octahedra,  a cornercorner with one Cr(1)O6 octahedra,  a cornercorner with one Cr(2)O6 octahedra, and  a cornercorner with one Cr(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 27-32°. There are eight inequivalent O sites. In the first O site, O(2) is bonded in a bent 150 degrees geometry to one Cr(1) and one P(1) atom. In the second O site, O(3) is bonded in a bent 150 degrees geometry to one Cr(2) and one P(1) atom. In the third O site, O(4) is bonded in a bent 150 degrees geometry to one W(1) and one P(1) atom. In the fourth O site, O(5) is bonded in a bent 150 degrees geometry to one Cr(1) and one P(2) atom. In the fifth O site, O(6) is bonded in a bent 150 degrees geometry to one W(1) and one P(2) atom. In the sixth O site, O(7) is bonded in a bent 150 degrees geometry to one Cr(3) and one P(2) atom. In the seventh O site, O(8) is bonded in a bent 150 degrees geometry to one Cr(3) and one P(1) atom. In the eighth O site, O(1) is bonded in a bent 150 degrees geometry to one Cr(2) and one P(2) atom. is represented by the Crystallographic Information File (CIF) [CIF]
data_Cr3P6WO24
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.824
_cell_length_b   8.824
_cell_length_c   8.824
_cell_angle_alpha   58.382
_cell_angle_beta   58.382
_cell_angle_gamma   58.382
_symmetry_Int_Tables_number   1
_cell_volume   467.768
_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
  Cr  Cr0  1  0.143  0.143  0.143  1.0
  Cr  Cr1  1  0.358  0.358  0.358  1.0
  Cr  Cr2  1  0.643  0.643  0.643  1.0
  P  P3  1  0.036  0.460  0.749  1.0
  P  P4  1  0.460  0.749  0.036  1.0
  P  P5  1  0.749  0.036  0.460  1.0
  P  P6  1  0.259  0.967  0.527  1.0
  P  P7  1  0.527  0.259  0.967  1.0
  P  P8  1  0.967  0.527  0.259  1.0
  W  W9  1  0.859  0.859  0.859  1.0
  O  O10  1  0.140  0.511  0.275  1.0
  O  O11  1  0.275  0.140  0.511  1.0
  O  O12  1  0.063  0.282  0.923  1.0
  O  O13  1  0.511  0.275  0.140  1.0
  O  O14  1  0.216  0.442  0.575  1.0
  O  O15  1  0.001  0.637  0.782  1.0
  O  O16  1  0.282  0.923  0.063  1.0
  O  O17  1  0.442  0.575  0.216  1.0
  O  O18  1  0.575  0.216  0.442  1.0
  O  O19  1  0.221  0.992  0.364  1.0
  O  O20  1  0.077  0.936  0.712  1.0
  O  O21  1  0.364  0.221  0.992  1.0
  O  O22  1  0.637  0.782  0.001  1.0
  O  O23  1  0.923  0.063  0.282  1.0
  O  O24  1  0.782  0.001  0.637  1.0
  O  O25  1  0.424  0.784  0.562  1.0
  O  O26  1  0.562  0.424  0.784  1.0
  O  O27  1  0.712  0.077  0.936  1.0
  O  O28  1  0.992  0.364  0.221  1.0
  O  O29  1  0.784  0.562  0.424  1.0
  O  O30  1  0.492  0.720  0.864  1.0
  O  O31  1  0.936  0.712  0.077  1.0
  O  O32  1  0.720  0.864  0.492  1.0
  O  O33  1  0.864  0.492  0.720  1.0
[/CIF]
.
The structure described by WCr3P6O24 crystallizes in the trigonal R3 space group. W(1) is bonded to three equivalent O(4) and three equivalent O(6) atoms to form WO6 octahedra that share corners with three equivalent P(1)O4 tetrahedra and corners with three equivalent P(2)O4 tetrahedra. There are three inequivalent Cr sites. In the first Cr site, Cr(1) is bonded to three equivalent O(2) and three equivalent O(5) atoms to form CrO6 octahedra that share corners with three equivalent P(1)O4 tetrahedra and corners with three equivalent P(2)O4 tetrahedra. In the second Cr site, Cr(2) is bonded to three equivalent O(1) and three equivalent O(3) atoms to form CrO6 octahedra that share corners with three equivalent P(1)O4 tetrahedra and corners with three equivalent P(2)O4 tetrahedra. In the third Cr site, Cr(3) is bonded to three equivalent O(7) and three equivalent O(8) atoms to form CrO6 octahedra that share corners with three equivalent P(1)O4 tetrahedra and corners with three equivalent P(2)O4 tetrahedra. There are two inequivalent P sites. In the first P site, P(1) is bonded to one O(2), one O(3), one O(4), and one O(8) atom to form PO4 tetrahedra that share  a cornercorner with one W(1)O6 octahedra,  a cornercorner with one Cr(1)O6 octahedra,  a cornercorner with one Cr(2)O6 octahedra, and  a cornercorner with one Cr(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 22-34°. In the second P site, P(2) is bonded to one O(1), one O(5), one O(6), and one O(7) atom to form PO4 tetrahedra that share  a cornercorner with one W(1)O6 octahedra,  a cornercorner with one Cr(1)O6 octahedra,  a cornercorner with one Cr(2)O6 octahedra, and  a cornercorner with one Cr(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 27-32°. There are eight inequivalent O sites. In the first O site, O(2) is bonded in a bent 150 degrees geometry to one Cr(1) and one P(1) atom. In the second O site, O(3) is bonded in a bent 150 degrees geometry to one Cr(2) and one P(1) atom. In the third O site, O(4) is bonded in a bent 150 degrees geometry to one W(1) and one P(1) atom. In the fourth O site, O(5) is bonded in a bent 150 degrees geometry to one Cr(1) and one P(2) atom. In the fifth O site, O(6) is bonded in a bent 150 degrees geometry to one W(1) and one P(2) atom. In the sixth O site, O(7) is bonded in a bent 150 degrees geometry to one Cr(3) and one P(2) atom. In the seventh O site, O(8) is bonded in a bent 150 degrees geometry to one Cr(3) and one P(1) atom. In the eighth O site, O(1) is bonded in a bent 150 degrees geometry to one Cr(2) and one P(2) atom. is represented by the Crystallographic Information File (CIF) [CIF]
data_Cr3P6WO24
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.824
_cell_length_b   8.824
_cell_length_c   8.824
_cell_angle_alpha   58.382
_cell_angle_beta   58.382
_cell_angle_gamma   58.382
_symmetry_Int_Tables_number   1
_cell_volume   467.768
_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
  Cr  Cr0  1  0.143  0.143  0.143  1.0
  Cr  Cr1  1  0.358  0.358  0.358  1.0
  Cr  Cr2  1  0.643  0.643  0.643  1.0
  P  P3  1  0.036  0.460  0.749  1.0
  P  P4  1  0.460  0.749  0.036  1.0
  P  P5  1  0.749  0.036  0.460  1.0
  P  P6  1  0.259  0.967  0.527  1.0
  P  P7  1  0.527  0.259  0.967  1.0
  P  P8  1  0.967  0.527  0.259  1.0
  W  W9  1  0.859  0.859  0.859  1.0
  O  O10  1  0.140  0.511  0.275  1.0
  O  O11  1  0.275  0.140  0.511  1.0
  O  O12  1  0.063  0.282  0.923  1.0
  O  O13  1  0.511  0.275  0.140  1.0
  O  O14  1  0.216  0.442  0.575  1.0
  O  O15  1  0.001  0.637  0.782  1.0
  O  O16  1  0.282  0.923  0.063  1.0
  O  O17  1  0.442  0.575  0.216  1.0
  O  O18  1  0.575  0.216  0.442  1.0
  O  O19  1  0.221  0.992  0.364  1.0
  O  O20  1  0.077  0.936  0.712  1.0
  O  O21  1  0.364  0.221  0.992  1.0
  O  O22  1  0.637  0.782  0.001  1.0
  O  O23  1  0.923  0.063  0.282  1.0
  O  O24  1  0.782  0.001  0.637  1.0
  O  O25  1  0.424  0.784  0.562  1.0
  O  O26  1  0.562  0.424  0.784  1.0
  O  O27  1  0.712  0.077  0.936  1.0
  O  O28  1  0.992  0.364  0.221  1.0
  O  O29  1  0.784  0.562  0.424  1.0
  O  O30  1  0.492  0.720  0.864  1.0
  O  O31  1  0.936  0.712  0.077  1.0
  O  O32  1  0.720  0.864  0.492  1.0
  O  O33  1  0.864  0.492  0.720  1.0
[/CIF]
.