The compound described by GdCr2Al20 crystallizes in the cubic F-43m space group. There are two inequivalent Gd sites. In the first Gd site, Gd(1) is bonded in a 16-coordinate geometry to four Al(5,5,5,5) and twelve equivalent Al(1) atoms. In the second Gd site, Gd(2) is bonded in a 16-coordinate geometry to four Al(5,5,5) and twelve equivalent Al(3) atoms. Cr(1) is bonded to three equivalent Al(1), three equivalent Al(2), three equivalent Al(3), and three equivalent Al(4) atoms to form CrAl12 cuboctahedra that share corners with six equivalent Cr(1)Al12 cuboctahedra, edges with nine equivalent Al(1)GdAl10Cr cuboctahedra, edges with nine equivalent Al(3)GdAl10Cr cuboctahedra, faces with three equivalent Al(1)GdAl10Cr cuboctahedra, and faces with three equivalent Al(3)GdAl10Cr cuboctahedra. There are fourteen inequivalent Al sites. In the first Al site, Al(5) is bonded in a distorted linear geometry to one Gd(1), one Gd(2), six equivalent Al(1), and six equivalent Al(3) atoms. In the second Al site, Al(5) is bonded in a distorted linear geometry to one Gd(1), one Gd(2), six equivalent Al(1), and six equivalent Al(3) atoms. In the third Al site, Al(1) is bonded to one Gd(1); one Cr(1); one Al(2); two equivalent Al(3); two equivalent Al(4); two Al(5,5); and three equivalent Al(1) atoms to form distorted AlGdAl10Cr cuboctahedra that share corners with four equivalent Al(1)GdAl10Cr cuboctahedra, corners with eleven equivalent Al(3)GdAl10Cr cuboctahedra, edges with two equivalent Al(1)GdAl10Cr cuboctahedra, edges with three equivalent Cr(1)Al12 cuboctahedra,  a faceface with one Cr(1)Al12 cuboctahedra, faces with six equivalent Al(3)GdAl10Cr cuboctahedra, and faces with nine equivalent Al(1)GdAl10Cr cuboctahedra. In the fourth Al site, Al(2) is bonded in a 12-coordinate geometry to two equivalent Cr(1), two equivalent Al(1), four equivalent Al(2), and four equivalent Al(3) atoms. In the fifth Al site, Al(5) is bonded in a distorted linear geometry to one Gd(1), one Gd(2), six equivalent Al(1), and six equivalent Al(3) atoms. In the sixth Al site, Al(3) is bonded to one Gd(2), one Cr(1), one Al(4), two equivalent Al(1), two equivalent Al(2), two equivalent Al(5), and three equivalent Al(3) atoms to form distorted AlGdAl10Cr cuboctahedra that share corners with four equivalent Al(3)GdAl10Cr cuboctahedra, corners with eleven equivalent Al(1)GdAl10Cr cuboctahedra, edges with two equivalent Al(3)GdAl10Cr cuboctahedra, edges with three equivalent Cr(1)Al12 cuboctahedra,  a faceface with one Cr(1)Al12 cuboctahedra, faces with six equivalent Al(1)GdAl10Cr cuboctahedra, and faces with nine equivalent Al(3)GdAl10Cr cuboctahedra. In the seventh Al site, Al(4) is bonded in a 12-coordinate geometry to two equivalent Cr(1), two equivalent Al(3), four equivalent Al(1), and four equivalent Al(4) atoms. In the eighth Al site, Al(5) is bonded in a distorted linear geometry to one Gd(1), one Gd(2), six equivalent Al(1), and six equivalent Al(3) atoms. In the ninth Al site, Al(5) is bonded in a distorted linear geometry to one Gd(1), one Gd(2), six equivalent Al(1), and six equivalent Al(3) atoms. In the tenth Al site, Al(5) is bonded in a distorted linear geometry to one Gd(1), one Gd(2), six equivalent Al(1), and six equivalent Al(3) atoms. In the eleventh Al site, Al(5) is bonded in a distorted linear geometry to one Gd(1), one Gd(2), six equivalent Al(1), and six equivalent Al(3) atoms. In the twelfth Al site, Al(5) is bonded in a distorted linear geometry to one Gd(1), one Gd(2), six equivalent Al(1), and six equivalent Al(3) atoms. In the thirteenth Al site, Al(5) is bonded in a distorted linear geometry to one Gd(1), one Gd(2), six equivalent Al(1), and six equivalent Al(3) atoms. In the fourteenth Al site, Al(5) is bonded in a distorted linear geometry to one Gd(1), one Gd(2), six equivalent Al(1), and six equivalent Al(3) atoms. is represented by the Crystallographic Information File (CIF) [CIF]
data_Gd(Al10Cr)2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   10.172
_cell_length_b   10.171
_cell_length_c   10.176
_cell_angle_alpha   60.023
_cell_angle_beta   59.958
_cell_angle_gamma   59.982
_symmetry_Int_Tables_number   1
_cell_volume   744.229
_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
  Gd  Gd0  1  0.875  0.875  0.875  1.0
  Gd  Gd1  1  0.125  0.125  0.125  1.0
  Al  Al2  1  0.210  0.674  0.943  1.0
  Al  Al3  1  0.238  0.512  0.238  1.0
  Al  Al4  1  0.674  0.943  0.210  1.0
  Al  Al5  1  0.327  0.327  0.057  1.0
  Al  Al6  1  0.762  0.762  0.488  1.0
  Al  Al7  1  0.512  0.238  0.512  1.0
  Al  Al8  1  0.326  0.789  0.327  1.0
  Al  Al9  1  0.512  0.238  0.238  1.0
  Al  Al10  1  0.762  0.488  0.488  1.0
  Al  Al11  1  1.000  1.000  1.000  1.0
  Al  Al12  1  0.326  0.790  0.057  1.0
  Al  Al13  1  0.327  0.327  0.789  1.0
  Al  Al14  1  0.943  0.210  0.674  1.0
  Al  Al15  1  0.327  0.057  0.327  1.0
  Al  Al16  1  0.790  0.326  0.327  1.0
  Al  Al17  1  0.674  0.674  0.943  1.0
  Al  Al18  1  0.488  0.488  0.762  1.0
  Al  Al19  1  0.943  0.673  0.674  1.0
  Al  Al20  1  0.210  0.674  0.674  1.0
  Al  Al21  1  0.789  0.057  0.327  1.0
  Al  Al22  1  0.238  0.238  0.512  1.0
  Al  Al23  1  0.238  0.512  0.512  1.0
  Al  Al24  1  0.674  0.210  0.943  1.0
  Al  Al25  1  0.488  0.762  0.488  1.0
  Al  Al26  1  0.210  0.943  0.674  1.0
  Al  Al27  1  0.943  0.674  0.210  1.0
  Al  Al28  1  0.512  0.512  0.238  1.0
  Al  Al29  1  0.057  0.789  0.327  1.0
  Al  Al30  1  1.000  1.000  0.501  1.0
  Al  Al31  1  0.674  0.943  0.674  1.0
  Al  Al32  1  0.790  0.326  0.057  1.0
  Al  Al33  1  0.762  0.488  0.762  1.0
  Al  Al34  1  0.327  0.058  0.789  1.0
  Al  Al35  1  0.058  0.327  0.789  1.0
  Al  Al36  1  1.000  0.501  1.000  1.0
  Al  Al37  1  0.057  0.327  0.327  1.0
  Al  Al38  1  0.488  0.762  0.762  1.0
  Al  Al39  1  0.674  0.210  0.674  1.0
  Al  Al40  1  0.501  1.000  1.000  1.0
  Al  Al41  1  0.674  0.674  0.210  1.0
  Cr  Cr42  1  1.000  0.500  0.500  1.0
  Cr  Cr43  1  0.500  0.500  0.500  1.0
  Cr  Cr44  1  0.500  1.000  0.500  1.0
  Cr  Cr45  1  0.500  0.500  1.000  1.0
[/CIF]
.
The compound described by GdCr2Al20 crystallizes in the cubic F-43m space group. There are two inequivalent Gd sites. In the first Gd site, Gd(1) is bonded in a 16-coordinate geometry to four Al(5,5,5,5) and twelve equivalent Al(1) atoms. In the second Gd site, Gd(2) is bonded in a 16-coordinate geometry to four Al(5,5,5) and twelve equivalent Al(3) atoms. Cr(1) is bonded to three equivalent Al(1), three equivalent Al(2), three equivalent Al(3), and three equivalent Al(4) atoms to form CrAl12 cuboctahedra that share corners with six equivalent Cr(1)Al12 cuboctahedra, edges with nine equivalent Al(1)GdAl10Cr cuboctahedra, edges with nine equivalent Al(3)GdAl10Cr cuboctahedra, faces with three equivalent Al(1)GdAl10Cr cuboctahedra, and faces with three equivalent Al(3)GdAl10Cr cuboctahedra. There are fourteen inequivalent Al sites. In the first Al site, Al(5) is bonded in a distorted linear geometry to one Gd(1), one Gd(2), six equivalent Al(1), and six equivalent Al(3) atoms. In the second Al site, Al(5) is bonded in a distorted linear geometry to one Gd(1), one Gd(2), six equivalent Al(1), and six equivalent Al(3) atoms. In the third Al site, Al(1) is bonded to one Gd(1); one Cr(1); one Al(2); two equivalent Al(3); two equivalent Al(4); two Al(5,5); and three equivalent Al(1) atoms to form distorted AlGdAl10Cr cuboctahedra that share corners with four equivalent Al(1)GdAl10Cr cuboctahedra, corners with eleven equivalent Al(3)GdAl10Cr cuboctahedra, edges with two equivalent Al(1)GdAl10Cr cuboctahedra, edges with three equivalent Cr(1)Al12 cuboctahedra,  a faceface with one Cr(1)Al12 cuboctahedra, faces with six equivalent Al(3)GdAl10Cr cuboctahedra, and faces with nine equivalent Al(1)GdAl10Cr cuboctahedra. In the fourth Al site, Al(2) is bonded in a 12-coordinate geometry to two equivalent Cr(1), two equivalent Al(1), four equivalent Al(2), and four equivalent Al(3) atoms. In the fifth Al site, Al(5) is bonded in a distorted linear geometry to one Gd(1), one Gd(2), six equivalent Al(1), and six equivalent Al(3) atoms. In the sixth Al site, Al(3) is bonded to one Gd(2), one Cr(1), one Al(4), two equivalent Al(1), two equivalent Al(2), two equivalent Al(5), and three equivalent Al(3) atoms to form distorted AlGdAl10Cr cuboctahedra that share corners with four equivalent Al(3)GdAl10Cr cuboctahedra, corners with eleven equivalent Al(1)GdAl10Cr cuboctahedra, edges with two equivalent Al(3)GdAl10Cr cuboctahedra, edges with three equivalent Cr(1)Al12 cuboctahedra,  a faceface with one Cr(1)Al12 cuboctahedra, faces with six equivalent Al(1)GdAl10Cr cuboctahedra, and faces with nine equivalent Al(3)GdAl10Cr cuboctahedra. In the seventh Al site, Al(4) is bonded in a 12-coordinate geometry to two equivalent Cr(1), two equivalent Al(3), four equivalent Al(1), and four equivalent Al(4) atoms. In the eighth Al site, Al(5) is bonded in a distorted linear geometry to one Gd(1), one Gd(2), six equivalent Al(1), and six equivalent Al(3) atoms. In the ninth Al site, Al(5) is bonded in a distorted linear geometry to one Gd(1), one Gd(2), six equivalent Al(1), and six equivalent Al(3) atoms. In the tenth Al site, Al(5) is bonded in a distorted linear geometry to one Gd(1), one Gd(2), six equivalent Al(1), and six equivalent Al(3) atoms. In the eleventh Al site, Al(5) is bonded in a distorted linear geometry to one Gd(1), one Gd(2), six equivalent Al(1), and six equivalent Al(3) atoms. In the twelfth Al site, Al(5) is bonded in a distorted linear geometry to one Gd(1), one Gd(2), six equivalent Al(1), and six equivalent Al(3) atoms. In the thirteenth Al site, Al(5) is bonded in a distorted linear geometry to one Gd(1), one Gd(2), six equivalent Al(1), and six equivalent Al(3) atoms. In the fourteenth Al site, Al(5) is bonded in a distorted linear geometry to one Gd(1), one Gd(2), six equivalent Al(1), and six equivalent Al(3) atoms. is represented by the Crystallographic Information File (CIF) [CIF]
data_Gd(Al10Cr)2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   10.172
_cell_length_b   10.171
_cell_length_c   10.176
_cell_angle_alpha   60.023
_cell_angle_beta   59.958
_cell_angle_gamma   59.982
_symmetry_Int_Tables_number   1
_cell_volume   744.229
_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
  Gd  Gd0  1  0.875  0.875  0.875  1.0
  Gd  Gd1  1  0.125  0.125  0.125  1.0
  Al  Al2  1  0.210  0.674  0.943  1.0
  Al  Al3  1  0.238  0.512  0.238  1.0
  Al  Al4  1  0.674  0.943  0.210  1.0
  Al  Al5  1  0.327  0.327  0.057  1.0
  Al  Al6  1  0.762  0.762  0.488  1.0
  Al  Al7  1  0.512  0.238  0.512  1.0
  Al  Al8  1  0.326  0.789  0.327  1.0
  Al  Al9  1  0.512  0.238  0.238  1.0
  Al  Al10  1  0.762  0.488  0.488  1.0
  Al  Al11  1  1.000  1.000  1.000  1.0
  Al  Al12  1  0.326  0.790  0.057  1.0
  Al  Al13  1  0.327  0.327  0.789  1.0
  Al  Al14  1  0.943  0.210  0.674  1.0
  Al  Al15  1  0.327  0.057  0.327  1.0
  Al  Al16  1  0.790  0.326  0.327  1.0
  Al  Al17  1  0.674  0.674  0.943  1.0
  Al  Al18  1  0.488  0.488  0.762  1.0
  Al  Al19  1  0.943  0.673  0.674  1.0
  Al  Al20  1  0.210  0.674  0.674  1.0
  Al  Al21  1  0.789  0.057  0.327  1.0
  Al  Al22  1  0.238  0.238  0.512  1.0
  Al  Al23  1  0.238  0.512  0.512  1.0
  Al  Al24  1  0.674  0.210  0.943  1.0
  Al  Al25  1  0.488  0.762  0.488  1.0
  Al  Al26  1  0.210  0.943  0.674  1.0
  Al  Al27  1  0.943  0.674  0.210  1.0
  Al  Al28  1  0.512  0.512  0.238  1.0
  Al  Al29  1  0.057  0.789  0.327  1.0
  Al  Al30  1  1.000  1.000  0.501  1.0
  Al  Al31  1  0.674  0.943  0.674  1.0
  Al  Al32  1  0.790  0.326  0.057  1.0
  Al  Al33  1  0.762  0.488  0.762  1.0
  Al  Al34  1  0.327  0.058  0.789  1.0
  Al  Al35  1  0.058  0.327  0.789  1.0
  Al  Al36  1  1.000  0.501  1.000  1.0
  Al  Al37  1  0.057  0.327  0.327  1.0
  Al  Al38  1  0.488  0.762  0.762  1.0
  Al  Al39  1  0.674  0.210  0.674  1.0
  Al  Al40  1  0.501  1.000  1.000  1.0
  Al  Al41  1  0.674  0.674  0.210  1.0
  Cr  Cr42  1  1.000  0.500  0.500  1.0
  Cr  Cr43  1  0.500  0.500  0.500  1.0
  Cr  Cr44  1  0.500  1.000  0.500  1.0
  Cr  Cr45  1  0.500  0.500  1.000  1.0
[/CIF]
.