The material structure described by WIr4 crystallizes in the trigonal R-3m space group. W(1) is bonded to six equivalent W(1) and six equivalent Ir(1) atoms to form WIr6W6 cuboctahedra that share corners with six equivalent W(1)Ir6W6 cuboctahedra; corners with six Ir(2,2)Ir12 cuboctahedra; edges with six equivalent W(1)Ir6W6 cuboctahedra; edges with six Ir(2,2)Ir12 cuboctahedra; edges with twelve equivalent Ir(1)Ir9W3 cuboctahedra; faces with six equivalent W(1)Ir6W6 cuboctahedra; and faces with twelve equivalent Ir(1)Ir9W3 cuboctahedra. There are six inequivalent Ir sites. In the first Ir site, Ir(1) is bonded to three equivalent W(1), three equivalent Ir(2), and six equivalent Ir(1) atoms to form IrIr9W3 cuboctahedra that share corners with three equivalent Ir(2)Ir12 cuboctahedra; corners with nine equivalent Ir(1)Ir9W3 cuboctahedra; edges with six equivalent W(1)Ir6W6 cuboctahedra; edges with nine Ir(2,2)Ir12 cuboctahedra; edges with nine equivalent Ir(1)Ir9W3 cuboctahedra; faces with six equivalent W(1)Ir6W6 cuboctahedra; faces with six equivalent Ir(2)Ir12 cuboctahedra; and faces with six equivalent Ir(1)Ir9W3 cuboctahedra. In the second Ir site, Ir(2) is bonded to three equivalent Ir(1) and nine Ir(2,2) atoms to form IrIr12 cuboctahedra that share corners with three equivalent W(1)Ir6W6 cuboctahedra; corners with three equivalent Ir(1)Ir9W3 cuboctahedra; corners with six equivalent Ir(2)Ir12 cuboctahedra; edges with three equivalent W(1)Ir6W6 cuboctahedra; edges with nine equivalent Ir(1)Ir9W3 cuboctahedra; edges with twelve Ir(2,2)Ir12 cuboctahedra; faces with six equivalent Ir(1)Ir9W3 cuboctahedra; and faces with twelve Ir(2,2)Ir12 cuboctahedra. In the third Ir site, Ir(2) is bonded to three equivalent Ir(1) and nine Ir(2,2) atoms to form IrIr12 cuboctahedra that share corners with three equivalent W(1)Ir6W6 cuboctahedra; corners with three equivalent Ir(1)Ir9W3 cuboctahedra; corners with six equivalent Ir(2)Ir12 cuboctahedra; edges with three equivalent W(1)Ir6W6 cuboctahedra; edges with nine equivalent Ir(1)Ir9W3 cuboctahedra; edges with twelve Ir(2,2)Ir12 cuboctahedra; faces with six equivalent Ir(1)Ir9W3 cuboctahedra; and faces with twelve Ir(2,2)Ir12 cuboctahedra. In the fourth Ir site, Ir(2) is bonded to three equivalent Ir(1) and nine Ir(2,2) atoms to form IrIr12 cuboctahedra that share corners with three equivalent W(1)Ir6W6 cuboctahedra; corners with three equivalent Ir(1)Ir9W3 cuboctahedra; corners with six equivalent Ir(2)Ir12 cuboctahedra; edges with three equivalent W(1)Ir6W6 cuboctahedra; edges with nine equivalent Ir(1)Ir9W3 cuboctahedra; edges with twelve Ir(2,2)Ir12 cuboctahedra; faces with six equivalent Ir(1)Ir9W3 cuboctahedra; and faces with twelve Ir(2,2)Ir12 cuboctahedra. In the fifth Ir site, Ir(2) is bonded to three equivalent Ir(1) and nine Ir(2,2) atoms to form IrIr12 cuboctahedra that share corners with three equivalent W(1)Ir6W6 cuboctahedra; corners with three equivalent Ir(1)Ir9W3 cuboctahedra; corners with six equivalent Ir(2)Ir12 cuboctahedra; edges with three equivalent W(1)Ir6W6 cuboctahedra; edges with nine equivalent Ir(1)Ir9W3 cuboctahedra; edges with twelve Ir(2,2)Ir12 cuboctahedra; faces with six equivalent Ir(1)Ir9W3 cuboctahedra; and faces with twelve Ir(2,2)Ir12 cuboctahedra. In the sixth Ir site, Ir(2) is bonded to three equivalent Ir(1) and nine Ir(2,2) atoms to form IrIr12 cuboctahedra that share corners with three equivalent W(1)Ir6W6 cuboctahedra; corners with three equivalent Ir(1)Ir9W3 cuboctahedra; corners with six equivalent Ir(2)Ir12 cuboctahedra; edges with three equivalent W(1)Ir6W6 cuboctahedra; edges with nine equivalent Ir(1)Ir9W3 cuboctahedra; edges with twelve Ir(2,2)Ir12 cuboctahedra; faces with six equivalent Ir(1)Ir9W3 cuboctahedra; and faces with twelve Ir(2,2)Ir12 cuboctahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_Ir4W
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   11.422
_cell_length_b   11.422
_cell_length_c   11.422
_cell_angle_alpha   13.857
_cell_angle_beta   13.857
_cell_angle_gamma   13.857
_symmetry_Int_Tables_number   1
_cell_volume   74.383
_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
  Ir  Ir0  1  0.600  0.600  0.600  1.0
  Ir  Ir1  1  0.199  0.199  0.199  1.0
  Ir  Ir2  1  0.801  0.801  0.801  1.0
  Ir  Ir3  1  0.400  0.400  0.400  1.0
  W  W4  1  0.000  0.000  0.000  1.0
[/CIF]
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The material structure described by WIr4 crystallizes in the trigonal R-3m space group. W(1) is bonded to six equivalent W(1) and six equivalent Ir(1) atoms to form WIr6W6 cuboctahedra that share corners with six equivalent W(1)Ir6W6 cuboctahedra; corners with six Ir(2,2)Ir12 cuboctahedra; edges with six equivalent W(1)Ir6W6 cuboctahedra; edges with six Ir(2,2)Ir12 cuboctahedra; edges with twelve equivalent Ir(1)Ir9W3 cuboctahedra; faces with six equivalent W(1)Ir6W6 cuboctahedra; and faces with twelve equivalent Ir(1)Ir9W3 cuboctahedra. There are six inequivalent Ir sites. In the first Ir site, Ir(1) is bonded to three equivalent W(1), three equivalent Ir(2), and six equivalent Ir(1) atoms to form IrIr9W3 cuboctahedra that share corners with three equivalent Ir(2)Ir12 cuboctahedra; corners with nine equivalent Ir(1)Ir9W3 cuboctahedra; edges with six equivalent W(1)Ir6W6 cuboctahedra; edges with nine Ir(2,2)Ir12 cuboctahedra; edges with nine equivalent Ir(1)Ir9W3 cuboctahedra; faces with six equivalent W(1)Ir6W6 cuboctahedra; faces with six equivalent Ir(2)Ir12 cuboctahedra; and faces with six equivalent Ir(1)Ir9W3 cuboctahedra. In the second Ir site, Ir(2) is bonded to three equivalent Ir(1) and nine Ir(2,2) atoms to form IrIr12 cuboctahedra that share corners with three equivalent W(1)Ir6W6 cuboctahedra; corners with three equivalent Ir(1)Ir9W3 cuboctahedra; corners with six equivalent Ir(2)Ir12 cuboctahedra; edges with three equivalent W(1)Ir6W6 cuboctahedra; edges with nine equivalent Ir(1)Ir9W3 cuboctahedra; edges with twelve Ir(2,2)Ir12 cuboctahedra; faces with six equivalent Ir(1)Ir9W3 cuboctahedra; and faces with twelve Ir(2,2)Ir12 cuboctahedra. In the third Ir site, Ir(2) is bonded to three equivalent Ir(1) and nine Ir(2,2) atoms to form IrIr12 cuboctahedra that share corners with three equivalent W(1)Ir6W6 cuboctahedra; corners with three equivalent Ir(1)Ir9W3 cuboctahedra; corners with six equivalent Ir(2)Ir12 cuboctahedra; edges with three equivalent W(1)Ir6W6 cuboctahedra; edges with nine equivalent Ir(1)Ir9W3 cuboctahedra; edges with twelve Ir(2,2)Ir12 cuboctahedra; faces with six equivalent Ir(1)Ir9W3 cuboctahedra; and faces with twelve Ir(2,2)Ir12 cuboctahedra. In the fourth Ir site, Ir(2) is bonded to three equivalent Ir(1) and nine Ir(2,2) atoms to form IrIr12 cuboctahedra that share corners with three equivalent W(1)Ir6W6 cuboctahedra; corners with three equivalent Ir(1)Ir9W3 cuboctahedra; corners with six equivalent Ir(2)Ir12 cuboctahedra; edges with three equivalent W(1)Ir6W6 cuboctahedra; edges with nine equivalent Ir(1)Ir9W3 cuboctahedra; edges with twelve Ir(2,2)Ir12 cuboctahedra; faces with six equivalent Ir(1)Ir9W3 cuboctahedra; and faces with twelve Ir(2,2)Ir12 cuboctahedra. In the fifth Ir site, Ir(2) is bonded to three equivalent Ir(1) and nine Ir(2,2) atoms to form IrIr12 cuboctahedra that share corners with three equivalent W(1)Ir6W6 cuboctahedra; corners with three equivalent Ir(1)Ir9W3 cuboctahedra; corners with six equivalent Ir(2)Ir12 cuboctahedra; edges with three equivalent W(1)Ir6W6 cuboctahedra; edges with nine equivalent Ir(1)Ir9W3 cuboctahedra; edges with twelve Ir(2,2)Ir12 cuboctahedra; faces with six equivalent Ir(1)Ir9W3 cuboctahedra; and faces with twelve Ir(2,2)Ir12 cuboctahedra. In the sixth Ir site, Ir(2) is bonded to three equivalent Ir(1) and nine Ir(2,2) atoms to form IrIr12 cuboctahedra that share corners with three equivalent W(1)Ir6W6 cuboctahedra; corners with three equivalent Ir(1)Ir9W3 cuboctahedra; corners with six equivalent Ir(2)Ir12 cuboctahedra; edges with three equivalent W(1)Ir6W6 cuboctahedra; edges with nine equivalent Ir(1)Ir9W3 cuboctahedra; edges with twelve Ir(2,2)Ir12 cuboctahedra; faces with six equivalent Ir(1)Ir9W3 cuboctahedra; and faces with twelve Ir(2,2)Ir12 cuboctahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_Ir4W
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   11.422
_cell_length_b   11.422
_cell_length_c   11.422
_cell_angle_alpha   13.857
_cell_angle_beta   13.857
_cell_angle_gamma   13.857
_symmetry_Int_Tables_number   1
_cell_volume   74.383
_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
  Ir  Ir0  1  0.600  0.600  0.600  1.0
  Ir  Ir1  1  0.199  0.199  0.199  1.0
  Ir  Ir2  1  0.801  0.801  0.801  1.0
  Ir  Ir3  1  0.400  0.400  0.400  1.0
  W  W4  1  0.000  0.000  0.000  1.0
[/CIF]
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