The material structure described by Al45Cr7 is Bergman Structure: Mg32(Al,Zn)49 Bergman-derived structured and crystallizes in the monoclinic C2/m space group. There are three inequivalent Cr sites. In the first Cr site, Cr(1) is bonded to two equivalent Al(7), two equivalent Al(8), four equivalent Al(11), and four equivalent Al(12) atoms to form corner-sharing CrAl12 cuboctahedra. In the second Cr site, Cr(2) is bonded to one Al(3), one Al(4), one Al(7), one Al(9), two equivalent Al(10), two equivalent Al(13), two equivalent Al(15), and two equivalent Al(16) atoms to form distorted CrAl12 cuboctahedra that share  a cornercorner with one Cr(1)Al12 cuboctahedra,  a cornercorner with one Al(1)Al8Cr4 cuboctahedra, and  a faceface with one Al(4)Al9Cr3 cuboctahedra. In the third Cr site, Cr(3) is bonded in a distorted q6 geometry to one Cr(3), one Al(1), one Al(10), one Al(12), one Al(13), one Al(2), one Al(3), one Al(4), one Al(5), one Al(6), and two equivalent Al(14) atoms. There are sixteen inequivalent Al sites. In the first Al site, Al(1) is bonded to four equivalent Cr(3), two equivalent Al(4), two equivalent Al(5), and four equivalent Al(14) atoms to form AlAl8Cr4 cuboctahedra that share corners with two equivalent Cr(2)Al12 cuboctahedra and faces with two equivalent Al(4)Al9Cr3 cuboctahedra. In the second Al site, Al(2) is bonded in a 12-coordinate geometry to two equivalent Cr(3), one Al(3), one Al(5), two equivalent Al(10), two equivalent Al(11), two equivalent Al(12), and two equivalent Al(16) atoms. In the third Al site, Al(3) is bonded in a 13-coordinate geometry to one Cr(2), two equivalent Cr(3), one Al(2), one Al(4), four equivalent Al(10), and four equivalent Al(13) atoms. In the fourth Al site, Al(4) is bonded to one Cr(2), two equivalent Cr(3), one Al(1), one Al(3), one Al(5), two equivalent Al(13), two equivalent Al(14), and two equivalent Al(15) atoms to form distorted AlAl9Cr3 cuboctahedra that share  a cornercorner with one Al(4)Al9Cr3 cuboctahedra,  a faceface with one Cr(2)Al12 cuboctahedra, and  a faceface with one Al(1)Al8Cr4 cuboctahedra. In the fifth Al site, Al(5) is bonded in a 11-coordinate geometry to two equivalent Cr(3), one Al(1), one Al(2), one Al(4), two equivalent Al(11), two equivalent Al(12), two equivalent Al(14), and two equivalent Al(15) atoms. In the sixth Al site, Al(6) is bonded in a 12-coordinate geometry to two equivalent Cr(3), two equivalent Al(10), two equivalent Al(12), two equivalent Al(13), and four equivalent Al(14) atoms. In the seventh Al site, Al(7) is bonded in a 12-coordinate geometry to one Cr(1), one Cr(2), one Al(8), one Al(9), two equivalent Al(10), two equivalent Al(11), two equivalent Al(12), and two equivalent Al(16) atoms. In the eighth Al site, Al(8) is bonded in a 11-coordinate geometry to one Cr(1), one Al(7), one Al(9), two equivalent Al(11), two equivalent Al(12), two equivalent Al(14), and two equivalent Al(15) atoms. In the ninth Al site, Al(9) is bonded in a 11-coordinate geometry to one Cr(2), one Al(7), one Al(8), four equivalent Al(15), and four equivalent Al(16) atoms. In the tenth Al site, Al(10) is bonded in a 12-coordinate geometry to one Cr(2), one Cr(3), one Al(10), one Al(12), one Al(16), one Al(2), one Al(6), one Al(7), two equivalent Al(13), and two equivalent Al(3) atoms. In the eleventh Al site, Al(11) is bonded in a 11-coordinate geometry to one Cr(1), one Al(15), one Al(16), one Al(2), one Al(5), one Al(7), one Al(8), two equivalent Al(11), and two equivalent Al(12) atoms. In the twelfth Al site, Al(12) is bonded in a 12-coordinate geometry to one Cr(1), one Cr(3), one Al(10), one Al(12), one Al(14), one Al(2), one Al(5), one Al(6), one Al(7), one Al(8), and two equivalent Al(11) atoms. In the thirteenth Al site, Al(13) is bonded in a 12-coordinate geometry to one Cr(2), one Cr(3), one Al(13), one Al(14), one Al(15), one Al(16), one Al(4), one Al(6), two equivalent Al(10), and two equivalent Al(3) atoms. In the fourteenth Al site, Al(14) is bonded in a 13-coordinate geometry to two equivalent Cr(3), one Al(1), one Al(12), one Al(13), one Al(15), one Al(4), one Al(5), one Al(8), two equivalent Al(14), and two equivalent Al(6) atoms. In the fifteenth Al site, Al(15) is bonded in a 12-coordinate geometry to one Cr(2), one Al(11), one Al(13), one Al(14), one Al(15), one Al(4), one Al(5), one Al(8), two equivalent Al(16), and two equivalent Al(9) atoms. In the sixteenth Al site, Al(16) is bonded in a 11-coordinate geometry to one Cr(2), one Al(10), one Al(11), one Al(13), one Al(16), one Al(2), one Al(7), two equivalent Al(15), and two equivalent Al(9) atoms. is represented by the CIF file [CIF]
data_Al45Cr7
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   7.487
_cell_length_b   10.845
_cell_length_c   10.875
_cell_angle_alpha   106.391
_cell_angle_beta   110.134
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   790.734
_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
  Al  Al0  1  0.500  0.500  0.000  1.0
  Al  Al1  1  0.615  0.228  0.230  1.0
  Al  Al2  1  0.385  0.772  0.770  1.0
  Al  Al3  1  0.292  0.514  0.584  1.0
  Al  Al4  1  0.708  0.486  0.416  1.0
  Al  Al5  1  0.374  0.367  0.748  1.0
  Al  Al6  1  0.626  0.633  0.252  1.0
  Al  Al7  1  0.523  0.757  0.045  1.0
  Al  Al8  1  0.477  0.243  0.955  1.0
  Al  Al9  1  0.081  0.441  0.161  1.0
  Al  Al10  1  0.919  0.559  0.839  1.0
  Al  Al11  1  0.129  0.113  0.258  1.0
  Al  Al12  1  0.871  0.887  0.742  1.0
  Al  Al13  1  0.089  0.845  0.179  1.0
  Al  Al14  1  0.911  0.155  0.821  1.0
  Al  Al15  1  0.224  0.992  0.449  1.0
  Al  Al16  1  0.776  0.008  0.551  1.0
  Al  Al17  1  0.994  0.355  0.363  1.0
  Al  Al18  1  0.632  0.645  0.637  1.0
  Al  Al19  1  0.006  0.645  0.637  1.0
  Al  Al20  1  0.368  0.355  0.363  1.0
  Al  Al21  1  0.753  0.991  0.138  1.0
  Al  Al22  1  0.615  0.009  0.862  1.0
  Al  Al23  1  0.247  0.009  0.862  1.0
  Al  Al24  1  0.385  0.991  0.138  1.0
  Al  Al25  1  0.776  0.795  0.928  1.0
  Al  Al26  1  0.848  0.205  0.072  1.0
  Al  Al27  1  0.224  0.205  0.072  1.0
  Al  Al28  1  0.152  0.795  0.928  1.0
  Al  Al29  1  0.997  0.382  0.620  1.0
  Al  Al30  1  0.377  0.618  0.380  1.0
  Al  Al31  1  0.003  0.618  0.380  1.0
  Al  Al32  1  0.623  0.382  0.620  1.0
  Al  Al33  1  0.849  0.622  0.091  1.0
  Al  Al34  1  0.758  0.378  0.909  1.0
  Al  Al35  1  0.151  0.378  0.909  1.0
  Al  Al36  1  0.242  0.622  0.091  1.0
  Al  Al37  1  0.858  0.854  0.330  1.0
  Al  Al38  1  0.528  0.146  0.670  1.0
  Al  Al39  1  0.142  0.146  0.670  1.0
  Al  Al40  1  0.472  0.854  0.330  1.0
  Al  Al41  1  0.895  0.134  0.413  1.0
  Al  Al42  1  0.482  0.866  0.587  1.0
  Al  Al43  1  0.105  0.866  0.587  1.0
  Al  Al44  1  0.518  0.134  0.413  1.0
  Cr  Cr45  1  0.000  0.000  0.000  1.0
  Cr  Cr46  1  0.251  0.239  0.501  1.0
  Cr  Cr47  1  0.749  0.761  0.499  1.0
  Cr  Cr48  1  0.757  0.418  0.170  1.0
  Cr  Cr49  1  0.587  0.582  0.830  1.0
  Cr  Cr50  1  0.243  0.582  0.830  1.0
  Cr  Cr51  1  0.413  0.418  0.170  1.0
[/CIF]
.
The material structure described by Al45Cr7 is Bergman Structure: Mg32(Al,Zn)49 Bergman-derived structured and crystallizes in the monoclinic C2/m space group. There are three inequivalent Cr sites. In the first Cr site, Cr(1) is bonded to two equivalent Al(7), two equivalent Al(8), four equivalent Al(11), and four equivalent Al(12) atoms to form corner-sharing CrAl12 cuboctahedra. In the second Cr site, Cr(2) is bonded to one Al(3), one Al(4), one Al(7), one Al(9), two equivalent Al(10), two equivalent Al(13), two equivalent Al(15), and two equivalent Al(16) atoms to form distorted CrAl12 cuboctahedra that share  a cornercorner with one Cr(1)Al12 cuboctahedra,  a cornercorner with one Al(1)Al8Cr4 cuboctahedra, and  a faceface with one Al(4)Al9Cr3 cuboctahedra. In the third Cr site, Cr(3) is bonded in a distorted q6 geometry to one Cr(3), one Al(1), one Al(10), one Al(12), one Al(13), one Al(2), one Al(3), one Al(4), one Al(5), one Al(6), and two equivalent Al(14) atoms. There are sixteen inequivalent Al sites. In the first Al site, Al(1) is bonded to four equivalent Cr(3), two equivalent Al(4), two equivalent Al(5), and four equivalent Al(14) atoms to form AlAl8Cr4 cuboctahedra that share corners with two equivalent Cr(2)Al12 cuboctahedra and faces with two equivalent Al(4)Al9Cr3 cuboctahedra. In the second Al site, Al(2) is bonded in a 12-coordinate geometry to two equivalent Cr(3), one Al(3), one Al(5), two equivalent Al(10), two equivalent Al(11), two equivalent Al(12), and two equivalent Al(16) atoms. In the third Al site, Al(3) is bonded in a 13-coordinate geometry to one Cr(2), two equivalent Cr(3), one Al(2), one Al(4), four equivalent Al(10), and four equivalent Al(13) atoms. In the fourth Al site, Al(4) is bonded to one Cr(2), two equivalent Cr(3), one Al(1), one Al(3), one Al(5), two equivalent Al(13), two equivalent Al(14), and two equivalent Al(15) atoms to form distorted AlAl9Cr3 cuboctahedra that share  a cornercorner with one Al(4)Al9Cr3 cuboctahedra,  a faceface with one Cr(2)Al12 cuboctahedra, and  a faceface with one Al(1)Al8Cr4 cuboctahedra. In the fifth Al site, Al(5) is bonded in a 11-coordinate geometry to two equivalent Cr(3), one Al(1), one Al(2), one Al(4), two equivalent Al(11), two equivalent Al(12), two equivalent Al(14), and two equivalent Al(15) atoms. In the sixth Al site, Al(6) is bonded in a 12-coordinate geometry to two equivalent Cr(3), two equivalent Al(10), two equivalent Al(12), two equivalent Al(13), and four equivalent Al(14) atoms. In the seventh Al site, Al(7) is bonded in a 12-coordinate geometry to one Cr(1), one Cr(2), one Al(8), one Al(9), two equivalent Al(10), two equivalent Al(11), two equivalent Al(12), and two equivalent Al(16) atoms. In the eighth Al site, Al(8) is bonded in a 11-coordinate geometry to one Cr(1), one Al(7), one Al(9), two equivalent Al(11), two equivalent Al(12), two equivalent Al(14), and two equivalent Al(15) atoms. In the ninth Al site, Al(9) is bonded in a 11-coordinate geometry to one Cr(2), one Al(7), one Al(8), four equivalent Al(15), and four equivalent Al(16) atoms. In the tenth Al site, Al(10) is bonded in a 12-coordinate geometry to one Cr(2), one Cr(3), one Al(10), one Al(12), one Al(16), one Al(2), one Al(6), one Al(7), two equivalent Al(13), and two equivalent Al(3) atoms. In the eleventh Al site, Al(11) is bonded in a 11-coordinate geometry to one Cr(1), one Al(15), one Al(16), one Al(2), one Al(5), one Al(7), one Al(8), two equivalent Al(11), and two equivalent Al(12) atoms. In the twelfth Al site, Al(12) is bonded in a 12-coordinate geometry to one Cr(1), one Cr(3), one Al(10), one Al(12), one Al(14), one Al(2), one Al(5), one Al(6), one Al(7), one Al(8), and two equivalent Al(11) atoms. In the thirteenth Al site, Al(13) is bonded in a 12-coordinate geometry to one Cr(2), one Cr(3), one Al(13), one Al(14), one Al(15), one Al(16), one Al(4), one Al(6), two equivalent Al(10), and two equivalent Al(3) atoms. In the fourteenth Al site, Al(14) is bonded in a 13-coordinate geometry to two equivalent Cr(3), one Al(1), one Al(12), one Al(13), one Al(15), one Al(4), one Al(5), one Al(8), two equivalent Al(14), and two equivalent Al(6) atoms. In the fifteenth Al site, Al(15) is bonded in a 12-coordinate geometry to one Cr(2), one Al(11), one Al(13), one Al(14), one Al(15), one Al(4), one Al(5), one Al(8), two equivalent Al(16), and two equivalent Al(9) atoms. In the sixteenth Al site, Al(16) is bonded in a 11-coordinate geometry to one Cr(2), one Al(10), one Al(11), one Al(13), one Al(16), one Al(2), one Al(7), two equivalent Al(15), and two equivalent Al(9) atoms. is represented by the CIF file [CIF]
data_Al45Cr7
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   7.487
_cell_length_b   10.845
_cell_length_c   10.875
_cell_angle_alpha   106.391
_cell_angle_beta   110.134
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   790.734
_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
  Al  Al0  1  0.500  0.500  0.000  1.0
  Al  Al1  1  0.615  0.228  0.230  1.0
  Al  Al2  1  0.385  0.772  0.770  1.0
  Al  Al3  1  0.292  0.514  0.584  1.0
  Al  Al4  1  0.708  0.486  0.416  1.0
  Al  Al5  1  0.374  0.367  0.748  1.0
  Al  Al6  1  0.626  0.633  0.252  1.0
  Al  Al7  1  0.523  0.757  0.045  1.0
  Al  Al8  1  0.477  0.243  0.955  1.0
  Al  Al9  1  0.081  0.441  0.161  1.0
  Al  Al10  1  0.919  0.559  0.839  1.0
  Al  Al11  1  0.129  0.113  0.258  1.0
  Al  Al12  1  0.871  0.887  0.742  1.0
  Al  Al13  1  0.089  0.845  0.179  1.0
  Al  Al14  1  0.911  0.155  0.821  1.0
  Al  Al15  1  0.224  0.992  0.449  1.0
  Al  Al16  1  0.776  0.008  0.551  1.0
  Al  Al17  1  0.994  0.355  0.363  1.0
  Al  Al18  1  0.632  0.645  0.637  1.0
  Al  Al19  1  0.006  0.645  0.637  1.0
  Al  Al20  1  0.368  0.355  0.363  1.0
  Al  Al21  1  0.753  0.991  0.138  1.0
  Al  Al22  1  0.615  0.009  0.862  1.0
  Al  Al23  1  0.247  0.009  0.862  1.0
  Al  Al24  1  0.385  0.991  0.138  1.0
  Al  Al25  1  0.776  0.795  0.928  1.0
  Al  Al26  1  0.848  0.205  0.072  1.0
  Al  Al27  1  0.224  0.205  0.072  1.0
  Al  Al28  1  0.152  0.795  0.928  1.0
  Al  Al29  1  0.997  0.382  0.620  1.0
  Al  Al30  1  0.377  0.618  0.380  1.0
  Al  Al31  1  0.003  0.618  0.380  1.0
  Al  Al32  1  0.623  0.382  0.620  1.0
  Al  Al33  1  0.849  0.622  0.091  1.0
  Al  Al34  1  0.758  0.378  0.909  1.0
  Al  Al35  1  0.151  0.378  0.909  1.0
  Al  Al36  1  0.242  0.622  0.091  1.0
  Al  Al37  1  0.858  0.854  0.330  1.0
  Al  Al38  1  0.528  0.146  0.670  1.0
  Al  Al39  1  0.142  0.146  0.670  1.0
  Al  Al40  1  0.472  0.854  0.330  1.0
  Al  Al41  1  0.895  0.134  0.413  1.0
  Al  Al42  1  0.482  0.866  0.587  1.0
  Al  Al43  1  0.105  0.866  0.587  1.0
  Al  Al44  1  0.518  0.134  0.413  1.0
  Cr  Cr45  1  0.000  0.000  0.000  1.0
  Cr  Cr46  1  0.251  0.239  0.501  1.0
  Cr  Cr47  1  0.749  0.761  0.499  1.0
  Cr  Cr48  1  0.757  0.418  0.170  1.0
  Cr  Cr49  1  0.587  0.582  0.830  1.0
  Cr  Cr50  1  0.243  0.582  0.830  1.0
  Cr  Cr51  1  0.413  0.418  0.170  1.0
[/CIF]
.