The crystal structure described by CrAg3 is beta Cu3Ti-like structured and crystallizes in the tetragonal I4/mmm space group. Cr(1) is bonded to four equivalent Ag(2) and eight equivalent Ag(1) atoms to form CrAg12 cuboctahedra that share corners with four equivalent Cr(1)Ag12 cuboctahedra, corners with eight equivalent Ag(2)Cr4Ag8 cuboctahedra, edges with eight equivalent Cr(1)Ag12 cuboctahedra, edges with sixteen equivalent Ag(1)Cr4Ag8 cuboctahedra, faces with four equivalent Cr(1)Ag12 cuboctahedra, faces with six equivalent Ag(2)Cr4Ag8 cuboctahedra, and faces with eight equivalent Ag(1)Cr4Ag8 cuboctahedra. There are two inequivalent Ag sites. In the first Ag site, Ag(1) is bonded to four equivalent Cr(1), four equivalent Ag(1), and four equivalent Ag(2) atoms to form AgCr4Ag8 cuboctahedra that share corners with twelve equivalent Ag(1)Cr4Ag8 cuboctahedra, edges with eight equivalent Cr(1)Ag12 cuboctahedra, edges with eight equivalent Ag(1)Cr4Ag8 cuboctahedra, edges with eight equivalent Ag(2)Cr4Ag8 cuboctahedra, faces with four equivalent Cr(1)Ag12 cuboctahedra, faces with four equivalent Ag(2)Cr4Ag8 cuboctahedra, and faces with ten equivalent Ag(1)Cr4Ag8 cuboctahedra. In the second Ag site, Ag(2) is bonded to four equivalent Cr(1) and eight equivalent Ag(1) atoms to form AgCr4Ag8 cuboctahedra that share corners with four equivalent Ag(2)Cr4Ag8 cuboctahedra, corners with eight equivalent Cr(1)Ag12 cuboctahedra, edges with eight equivalent Ag(2)Cr4Ag8 cuboctahedra, edges with sixteen equivalent Ag(1)Cr4Ag8 cuboctahedra, faces with four equivalent Ag(2)Cr4Ag8 cuboctahedra, faces with six equivalent Cr(1)Ag12 cuboctahedra, and faces with eight equivalent Ag(1)Cr4Ag8 cuboctahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_CrAg3
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.074
_cell_length_b   5.074
_cell_length_c   5.074
_cell_angle_alpha   131.974
_cell_angle_beta   131.974
_cell_angle_gamma   70.270
_symmetry_Int_Tables_number   1
_cell_volume   70.752
_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  0.000  0.000  0.000  1.0
  Ag  Ag1  1  0.750  0.250  0.500  1.0
  Ag  Ag2  1  0.250  0.750  0.500  1.0
  Ag  Ag3  1  0.500  0.500  0.000  1.0
[/CIF]
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The crystal structure described by CrAg3 is beta Cu3Ti-like structured and crystallizes in the tetragonal I4/mmm space group. Cr(1) is bonded to four equivalent Ag(2) and eight equivalent Ag(1) atoms to form CrAg12 cuboctahedra that share corners with four equivalent Cr(1)Ag12 cuboctahedra, corners with eight equivalent Ag(2)Cr4Ag8 cuboctahedra, edges with eight equivalent Cr(1)Ag12 cuboctahedra, edges with sixteen equivalent Ag(1)Cr4Ag8 cuboctahedra, faces with four equivalent Cr(1)Ag12 cuboctahedra, faces with six equivalent Ag(2)Cr4Ag8 cuboctahedra, and faces with eight equivalent Ag(1)Cr4Ag8 cuboctahedra. There are two inequivalent Ag sites. In the first Ag site, Ag(1) is bonded to four equivalent Cr(1), four equivalent Ag(1), and four equivalent Ag(2) atoms to form AgCr4Ag8 cuboctahedra that share corners with twelve equivalent Ag(1)Cr4Ag8 cuboctahedra, edges with eight equivalent Cr(1)Ag12 cuboctahedra, edges with eight equivalent Ag(1)Cr4Ag8 cuboctahedra, edges with eight equivalent Ag(2)Cr4Ag8 cuboctahedra, faces with four equivalent Cr(1)Ag12 cuboctahedra, faces with four equivalent Ag(2)Cr4Ag8 cuboctahedra, and faces with ten equivalent Ag(1)Cr4Ag8 cuboctahedra. In the second Ag site, Ag(2) is bonded to four equivalent Cr(1) and eight equivalent Ag(1) atoms to form AgCr4Ag8 cuboctahedra that share corners with four equivalent Ag(2)Cr4Ag8 cuboctahedra, corners with eight equivalent Cr(1)Ag12 cuboctahedra, edges with eight equivalent Ag(2)Cr4Ag8 cuboctahedra, edges with sixteen equivalent Ag(1)Cr4Ag8 cuboctahedra, faces with four equivalent Ag(2)Cr4Ag8 cuboctahedra, faces with six equivalent Cr(1)Ag12 cuboctahedra, and faces with eight equivalent Ag(1)Cr4Ag8 cuboctahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_CrAg3
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.074
_cell_length_b   5.074
_cell_length_c   5.074
_cell_angle_alpha   131.974
_cell_angle_beta   131.974
_cell_angle_gamma   70.270
_symmetry_Int_Tables_number   1
_cell_volume   70.752
_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  0.000  0.000  0.000  1.0
  Ag  Ag1  1  0.750  0.250  0.500  1.0
  Ag  Ag2  1  0.250  0.750  0.500  1.0
  Ag  Ag3  1  0.500  0.500  0.000  1.0
[/CIF]
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