The crystal structure described by Be22Re crystallizes in the cubic Fd-3m space group. There are four inequivalent Be sites. In the first Be site, Be(1) is bonded to two equivalent Be(3), four equivalent Be(1), and six equivalent Be(2) atoms to form distorted BeBe12 cuboctahedra that share corners with two equivalent Be(1)Be12 cuboctahedra, corners with sixteen equivalent Be(2)Be11Re cuboctahedra, edges with two equivalent Be(3)Be12 cuboctahedra, faces with two equivalent Be(3)Be12 cuboctahedra, faces with nine equivalent Be(1)Be12 cuboctahedra, and faces with fourteen equivalent Be(2)Be11Re cuboctahedra. In the second Be site, Be(2) is bonded to one Be(3), two equivalent Be(4), three equivalent Be(1), five equivalent Be(2), and one Re(1) atom to form BeBe11Re cuboctahedra that share corners with eight equivalent Be(1)Be12 cuboctahedra, corners with fifteen equivalent Be(2)Be11Re cuboctahedra, edges with two equivalent Be(2)Be11Re cuboctahedra, edges with three equivalent Be(3)Be12 cuboctahedra,  a faceface with one Be(3)Be12 cuboctahedra, faces with seven equivalent Be(1)Be12 cuboctahedra, and faces with fifteen equivalent Be(2)Be11Re cuboctahedra. In the third Be site, Be(3) is bonded to six equivalent Be(1) and six equivalent Be(2) atoms to form BeBe12 cuboctahedra that share corners with six equivalent Be(3)Be12 cuboctahedra, edges with six equivalent Be(1)Be12 cuboctahedra, edges with eighteen equivalent Be(2)Be11Re cuboctahedra, faces with six equivalent Be(2)Be11Re cuboctahedra, and faces with six equivalent Be(1)Be12 cuboctahedra. In the fourth Be site, Be(4) is bonded in a 14-coordinate geometry to twelve equivalent Be(2) and two equivalent Re(1) atoms. Re(1) is bonded in a 16-coordinate geometry to four equivalent Be(4) and twelve equivalent Be(2) atoms. is represented by the Crystallographic Information File (CIF) [CIF]
data_Be22Re
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.133
_cell_length_b   8.133
_cell_length_c   8.133
_cell_angle_alpha   60.001
_cell_angle_beta   60.001
_cell_angle_gamma   60.001
_symmetry_Int_Tables_number   1
_cell_volume   380.367
_cell_formula_units_Z   2
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
  Be  Be0  1  0.510  0.510  0.240  1.0
  Be  Be1  1  0.943  0.205  0.676  1.0
  Be  Be2  1  0.676  0.205  0.676  1.0
  Be  Be3  1  0.795  0.324  0.324  1.0
  Be  Be4  1  0.000  0.500  0.500  1.0
  Be  Be5  1  0.760  0.490  0.760  1.0
  Be  Be6  1  0.490  0.760  0.760  1.0
  Be  Be7  1  0.057  0.795  0.324  1.0
  Be  Be8  1  0.490  0.760  0.490  1.0
  Be  Be9  1  0.000  0.000  0.000  1.0
  Be  Be10  1  0.676  0.943  0.205  1.0
  Be  Be11  1  0.943  0.676  0.676  1.0
  Be  Be12  1  0.510  0.240  0.240  1.0
  Be  Be13  1  0.057  0.324  0.795  1.0
  Be  Be14  1  0.240  0.240  0.510  1.0
  Be  Be15  1  0.205  0.676  0.676  1.0
  Be  Be16  1  0.676  0.205  0.943  1.0
  Be  Be17  1  0.760  0.490  0.490  1.0
  Be  Be18  1  0.057  0.324  0.324  1.0
  Be  Be19  1  0.324  0.057  0.795  1.0
  Be  Be20  1  0.324  0.795  0.324  1.0
  Be  Be21  1  0.500  0.000  0.500  1.0
  Be  Be22  1  0.943  0.676  0.205  1.0
  Be  Be23  1  0.676  0.676  0.943  1.0
  Be  Be24  1  0.324  0.057  0.324  1.0
  Be  Be25  1  0.500  0.000  0.000  1.0
  Be  Be26  1  0.324  0.324  0.057  1.0
  Be  Be27  1  0.490  0.490  0.760  1.0
  Be  Be28  1  0.205  0.943  0.676  1.0
  Be  Be29  1  0.240  0.510  0.510  1.0
  Be  Be30  1  0.000  0.500  0.000  1.0
  Be  Be31  1  0.760  0.760  0.490  1.0
  Be  Be32  1  0.795  0.057  0.324  1.0
  Be  Be33  1  0.324  0.324  0.795  1.0
  Be  Be34  1  0.676  0.676  0.205  1.0
  Be  Be35  1  0.205  0.676  0.943  1.0
  Be  Be36  1  0.324  0.795  0.057  1.0
  Be  Be37  1  0.500  0.500  0.000  1.0
  Be  Be38  1  0.795  0.324  0.057  1.0
  Be  Be39  1  0.510  0.240  0.510  1.0
  Be  Be40  1  0.676  0.943  0.676  1.0
  Be  Be41  1  0.500  0.500  0.500  1.0
  Be  Be42  1  0.240  0.510  0.240  1.0
  Be  Be43  1  0.000  0.000  0.500  1.0
  Re  Re44  1  0.875  0.875  0.875  1.0
  Re  Re45  1  0.125  0.125  0.125  1.0
[/CIF]
.
The crystal structure described by Be22Re crystallizes in the cubic Fd-3m space group. There are four inequivalent Be sites. In the first Be site, Be(1) is bonded to two equivalent Be(3), four equivalent Be(1), and six equivalent Be(2) atoms to form distorted BeBe12 cuboctahedra that share corners with two equivalent Be(1)Be12 cuboctahedra, corners with sixteen equivalent Be(2)Be11Re cuboctahedra, edges with two equivalent Be(3)Be12 cuboctahedra, faces with two equivalent Be(3)Be12 cuboctahedra, faces with nine equivalent Be(1)Be12 cuboctahedra, and faces with fourteen equivalent Be(2)Be11Re cuboctahedra. In the second Be site, Be(2) is bonded to one Be(3), two equivalent Be(4), three equivalent Be(1), five equivalent Be(2), and one Re(1) atom to form BeBe11Re cuboctahedra that share corners with eight equivalent Be(1)Be12 cuboctahedra, corners with fifteen equivalent Be(2)Be11Re cuboctahedra, edges with two equivalent Be(2)Be11Re cuboctahedra, edges with three equivalent Be(3)Be12 cuboctahedra,  a faceface with one Be(3)Be12 cuboctahedra, faces with seven equivalent Be(1)Be12 cuboctahedra, and faces with fifteen equivalent Be(2)Be11Re cuboctahedra. In the third Be site, Be(3) is bonded to six equivalent Be(1) and six equivalent Be(2) atoms to form BeBe12 cuboctahedra that share corners with six equivalent Be(3)Be12 cuboctahedra, edges with six equivalent Be(1)Be12 cuboctahedra, edges with eighteen equivalent Be(2)Be11Re cuboctahedra, faces with six equivalent Be(2)Be11Re cuboctahedra, and faces with six equivalent Be(1)Be12 cuboctahedra. In the fourth Be site, Be(4) is bonded in a 14-coordinate geometry to twelve equivalent Be(2) and two equivalent Re(1) atoms. Re(1) is bonded in a 16-coordinate geometry to four equivalent Be(4) and twelve equivalent Be(2) atoms. is represented by the Crystallographic Information File (CIF) [CIF]
data_Be22Re
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.133
_cell_length_b   8.133
_cell_length_c   8.133
_cell_angle_alpha   60.001
_cell_angle_beta   60.001
_cell_angle_gamma   60.001
_symmetry_Int_Tables_number   1
_cell_volume   380.367
_cell_formula_units_Z   2
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
  Be  Be0  1  0.510  0.510  0.240  1.0
  Be  Be1  1  0.943  0.205  0.676  1.0
  Be  Be2  1  0.676  0.205  0.676  1.0
  Be  Be3  1  0.795  0.324  0.324  1.0
  Be  Be4  1  0.000  0.500  0.500  1.0
  Be  Be5  1  0.760  0.490  0.760  1.0
  Be  Be6  1  0.490  0.760  0.760  1.0
  Be  Be7  1  0.057  0.795  0.324  1.0
  Be  Be8  1  0.490  0.760  0.490  1.0
  Be  Be9  1  0.000  0.000  0.000  1.0
  Be  Be10  1  0.676  0.943  0.205  1.0
  Be  Be11  1  0.943  0.676  0.676  1.0
  Be  Be12  1  0.510  0.240  0.240  1.0
  Be  Be13  1  0.057  0.324  0.795  1.0
  Be  Be14  1  0.240  0.240  0.510  1.0
  Be  Be15  1  0.205  0.676  0.676  1.0
  Be  Be16  1  0.676  0.205  0.943  1.0
  Be  Be17  1  0.760  0.490  0.490  1.0
  Be  Be18  1  0.057  0.324  0.324  1.0
  Be  Be19  1  0.324  0.057  0.795  1.0
  Be  Be20  1  0.324  0.795  0.324  1.0
  Be  Be21  1  0.500  0.000  0.500  1.0
  Be  Be22  1  0.943  0.676  0.205  1.0
  Be  Be23  1  0.676  0.676  0.943  1.0
  Be  Be24  1  0.324  0.057  0.324  1.0
  Be  Be25  1  0.500  0.000  0.000  1.0
  Be  Be26  1  0.324  0.324  0.057  1.0
  Be  Be27  1  0.490  0.490  0.760  1.0
  Be  Be28  1  0.205  0.943  0.676  1.0
  Be  Be29  1  0.240  0.510  0.510  1.0
  Be  Be30  1  0.000  0.500  0.000  1.0
  Be  Be31  1  0.760  0.760  0.490  1.0
  Be  Be32  1  0.795  0.057  0.324  1.0
  Be  Be33  1  0.324  0.324  0.795  1.0
  Be  Be34  1  0.676  0.676  0.205  1.0
  Be  Be35  1  0.205  0.676  0.943  1.0
  Be  Be36  1  0.324  0.795  0.057  1.0
  Be  Be37  1  0.500  0.500  0.000  1.0
  Be  Be38  1  0.795  0.324  0.057  1.0
  Be  Be39  1  0.510  0.240  0.510  1.0
  Be  Be40  1  0.676  0.943  0.676  1.0
  Be  Be41  1  0.500  0.500  0.500  1.0
  Be  Be42  1  0.240  0.510  0.240  1.0
  Be  Be43  1  0.000  0.000  0.500  1.0
  Re  Re44  1  0.875  0.875  0.875  1.0
  Re  Re45  1  0.125  0.125  0.125  1.0
[/CIF]
.