The structure described by Mg16AuAl12 crystallizes in the triclinic P1 space group. There are sixteen inequivalent Mg sites. In the first Mg site, Mg(1) is bonded in a 16-coordinate geometry to one Mg(13), one Mg(3), one Mg(4), one Mg(8), one Al(1), one Al(10), one Al(11), one Al(12), one Al(2), one Al(3), one Al(4), one Al(5), one Al(6), one Al(7), one Al(8), and one Al(9) atom. In the second Mg site, Mg(2) is bonded in a 12-coordinate geometry to one Mg(10), one Mg(11), one Mg(15), one Mg(16), one Mg(4), one Mg(5), one Mg(6), one Al(11), one Al(12), one Al(2), one Al(3), and one Al(4) atom. In the third Mg site, Mg(3) is bonded in a 1-coordinate geometry to one Mg(1), one Mg(12), one Mg(15), one Mg(6), one Mg(9), one Au(1), one Al(11), one Al(12), one Al(3), one Al(4), one Al(6), and one Al(9) atom. In the fourth Mg site, Mg(4) is bonded in a 11-coordinate geometry to one Mg(1), one Mg(14), one Mg(2), one Mg(7), one Au(1), one Al(10), one Al(12), one Al(3), one Al(5), one Al(7), and one Al(8) atom. In the fifth Mg site, Mg(5) is bonded in a 6-coordinate geometry to one Mg(2), one Mg(6), one Mg(8), one Mg(9), one Au(1), one Al(1), one Al(2), one Al(3), one Al(8), and one Al(9) atom. In the sixth Mg site, Mg(6) is bonded in a 12-coordinate geometry to one Mg(10), one Mg(11), one Mg(14), one Mg(2), one Mg(3), one Mg(5), one Mg(9), one Al(2), one Al(4), one Al(5), one Al(6), and one Al(8) atom. In the seventh Mg site, Mg(7) is bonded in a 4-coordinate geometry to one Mg(12), one Mg(15), one Mg(4), one Mg(9), one Au(1), one Al(1), one Al(4), one Al(7), and one Al(9) atom. In the eighth Mg site, Mg(8) is bonded in a 10-coordinate geometry to one Mg(1), one Mg(11), one Mg(12), one Mg(5), one Al(1), one Al(2), one Al(4), one Al(5), one Al(6), and one Al(7) atom. In the ninth Mg site, Mg(9) is bonded in a 13-coordinate geometry to one Mg(11), one Mg(13), one Mg(14), one Mg(3), one Mg(5), one Mg(6), one Mg(7), one Au(1), one Al(11), one Al(3), one Al(5), one Al(6), and one Al(9) atom. In the tenth Mg site, Mg(10) is bonded in a 5-coordinate geometry to one Mg(12), one Mg(15), one Mg(2), one Mg(6), one Al(10), one Al(3), one Al(4), one Al(7), and one Al(8) atom. In the eleventh Mg site, Mg(11) is bonded in a 5-coordinate geometry to one Mg(15), one Mg(2), one Mg(6), one Mg(8), one Mg(9), one Al(11), one Al(12), one Al(5), one Al(7), and one Al(8) atom. In the twelfth Mg site, Mg(12) is bonded in a 13-coordinate geometry to one Mg(10), one Mg(14), one Mg(15), one Mg(16), one Mg(3), one Mg(7), one Mg(8), one Au(1), one Al(10), one Al(12), one Al(4), one Al(6), and one Al(9) atom. In the thirteenth Mg site, Mg(13) is bonded in a 6-coordinate geometry to one Mg(1), one Mg(9), one Al(1), one Al(10), one Al(11), one Al(2), one Al(6), one Al(8), and one Al(9) atom. In the fourteenth Mg site, Mg(14) is bonded in a 4-coordinate geometry to one Mg(12), one Mg(4), one Mg(6), one Mg(9), one Au(1), one Al(1), one Al(10), one Al(11), one Al(6), and one Al(8) atom. In the fifteenth Mg site, Mg(15) is bonded in a 12-coordinate geometry to one Mg(10), one Mg(11), one Mg(12), one Mg(16), one Mg(2), one Mg(3), one Mg(7), one Al(10), one Al(11), one Al(2), one Al(7), and one Al(9) atom. In the sixteenth Mg site, Mg(16) is bonded in a 6-coordinate geometry to one Mg(12), one Mg(15), one Mg(2), one Au(1), one Al(1), one Al(12), one Al(2), one Al(6), and one Al(7) atom. Au(1) is bonded in a 11-coordinate geometry to one Mg(12), one Mg(14), one Mg(16), one Mg(3), one Mg(4), one Mg(5), one Mg(7), one Mg(9), one Al(1), one Al(10), and one Al(5) atom. There are twelve inequivalent Al sites. In the first Al site, Al(1) is bonded in a 11-coordinate geometry to one Mg(1), one Mg(13), one Mg(14), one Mg(16), one Mg(5), one Mg(7), one Mg(8), one Au(1), one Al(11), one Al(2), and one Al(4) atom. In the second Al site, Al(2) is bonded in a 11-coordinate geometry to one Mg(1), one Mg(13), one Mg(15), one Mg(16), one Mg(2), one Mg(5), one Mg(6), one Mg(8), one Al(1), one Al(10), and one Al(5) atom. In the third Al site, Al(3) is bonded in a 10-coordinate geometry to one Mg(1), one Mg(10), one Mg(2), one Mg(3), one Mg(4), one Mg(5), one Mg(9), one Al(12), one Al(6), and one Al(7) atom. In the fourth Al site, Al(4) is bonded in a 11-coordinate geometry to one Mg(1), one Mg(10), one Mg(12), one Mg(2), one Mg(3), one Mg(6), one Mg(7), one Mg(8), one Al(1), one Al(11), and one Al(6) atom. In the fifth Al site, Al(5) is bonded in a 1-coordinate geometry to one Mg(1), one Mg(11), one Mg(4), one Mg(6), one Mg(8), one Mg(9), one Au(1), one Al(10), one Al(2), and one Al(7) atom. In the sixth Al site, Al(6) is bonded in a 12-coordinate geometry to one Mg(1), one Mg(12), one Mg(13), one Mg(14), one Mg(16), one Mg(3), one Mg(6), one Mg(8), one Mg(9), one Al(3), one Al(4), and one Al(7) atom. In the seventh Al site, Al(7) is bonded in a 11-coordinate geometry to one Mg(1), one Mg(10), one Mg(11), one Mg(15), one Mg(16), one Mg(4), one Mg(7), one Mg(8), one Al(3), one Al(5), and one Al(6) atom. In the eighth Al site, Al(8) is bonded in a 11-coordinate geometry to one Mg(1), one Mg(10), one Mg(11), one Mg(13), one Mg(14), one Mg(4), one Mg(5), one Mg(6), one Al(10), one Al(12), and one Al(9) atom. In the ninth Al site, Al(9) is bonded in a 11-coordinate geometry to one Mg(1), one Mg(12), one Mg(13), one Mg(15), one Mg(3), one Mg(5), one Mg(7), one Mg(9), one Al(11), one Al(12), and one Al(8) atom. In the tenth Al site, Al(10) is bonded in a 11-coordinate geometry to one Mg(1), one Mg(10), one Mg(12), one Mg(13), one Mg(14), one Mg(15), one Mg(4), one Au(1), one Al(2), one Al(5), and one Al(8) atom. In the eleventh Al site, Al(11) is bonded in a 11-coordinate geometry to one Mg(1), one Mg(11), one Mg(13), one Mg(14), one Mg(15), one Mg(2), one Mg(3), one Mg(9), one Al(1), one Al(4), and one Al(9) atom. In the twelfth Al site, Al(12) is bonded in a 10-coordinate geometry to one Mg(1), one Mg(11), one Mg(12), one Mg(16), one Mg(2), one Mg(3), one Mg(4), one Al(3), one Al(8), and one Al(9) atom. is represented by the CIF file [CIF]
data_Mg16Al12Au
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.909
_cell_length_b   9.020
_cell_length_c   9.070
_cell_angle_alpha   108.940
_cell_angle_beta   108.740
_cell_angle_gamma   108.679
_symmetry_Int_Tables_number   1
_cell_volume   574.854
_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
  Mg  Mg0  1  0.996  0.996  0.995  1.0
  Mg  Mg1  1  0.693  0.693  0.296  1.0
  Mg  Mg2  1  0.632  0.632  0.670  1.0
  Mg  Mg3  1  0.005  0.006  0.346  1.0
  Mg  Mg4  1  0.330  0.589  0.992  1.0
  Mg  Mg5  1  0.406  0.715  0.402  1.0
  Mg  Mg6  1  0.997  0.316  0.602  1.0
  Mg  Mg7  1  0.999  0.352  0.995  1.0
  Mg  Mg8  1  0.296  0.676  0.688  1.0
  Mg  Mg9  1  0.604  0.006  0.323  1.0
  Mg  Mg10  1  0.006  0.603  0.321  1.0
  Mg  Mg11  1  0.677  0.297  0.688  1.0
  Mg  Mg12  1  0.351  0.999  0.993  1.0
  Mg  Mg13  1  0.316  0.997  0.601  1.0
  Mg  Mg14  1  0.716  0.407  0.403  1.0
  Mg  Mg15  1  0.590  0.331  0.992  1.0
  Al  Al16  1  0.183  0.182  0.817  1.0
  Al  Al17  1  0.365  0.367  0.174  1.0
  Al  Al18  1  0.648  0.831  0.016  1.0
  Al  Al19  1  0.814  0.999  0.636  1.0
  Al  Al20  1  0.182  0.370  0.363  1.0
  Al  Al21  1  0.635  0.006  0.822  1.0
  Al  Al22  1  0.819  0.193  0.185  1.0
  Al  Al23  1  0.196  0.823  0.187  1.0
  Al  Al24  1  0.007  0.635  0.822  1.0
  Al  Al25  1  0.370  0.181  0.364  1.0
  Al  Al26  1  0.000  0.815  0.638  1.0
  Al  Al27  1  0.830  0.646  0.015  1.0
  Au  Au28  1  0.336  0.336  0.657  1.0
[/CIF]
.
The structure described by Mg16AuAl12 crystallizes in the triclinic P1 space group. There are sixteen inequivalent Mg sites. In the first Mg site, Mg(1) is bonded in a 16-coordinate geometry to one Mg(13), one Mg(3), one Mg(4), one Mg(8), one Al(1), one Al(10), one Al(11), one Al(12), one Al(2), one Al(3), one Al(4), one Al(5), one Al(6), one Al(7), one Al(8), and one Al(9) atom. In the second Mg site, Mg(2) is bonded in a 12-coordinate geometry to one Mg(10), one Mg(11), one Mg(15), one Mg(16), one Mg(4), one Mg(5), one Mg(6), one Al(11), one Al(12), one Al(2), one Al(3), and one Al(4) atom. In the third Mg site, Mg(3) is bonded in a 1-coordinate geometry to one Mg(1), one Mg(12), one Mg(15), one Mg(6), one Mg(9), one Au(1), one Al(11), one Al(12), one Al(3), one Al(4), one Al(6), and one Al(9) atom. In the fourth Mg site, Mg(4) is bonded in a 11-coordinate geometry to one Mg(1), one Mg(14), one Mg(2), one Mg(7), one Au(1), one Al(10), one Al(12), one Al(3), one Al(5), one Al(7), and one Al(8) atom. In the fifth Mg site, Mg(5) is bonded in a 6-coordinate geometry to one Mg(2), one Mg(6), one Mg(8), one Mg(9), one Au(1), one Al(1), one Al(2), one Al(3), one Al(8), and one Al(9) atom. In the sixth Mg site, Mg(6) is bonded in a 12-coordinate geometry to one Mg(10), one Mg(11), one Mg(14), one Mg(2), one Mg(3), one Mg(5), one Mg(9), one Al(2), one Al(4), one Al(5), one Al(6), and one Al(8) atom. In the seventh Mg site, Mg(7) is bonded in a 4-coordinate geometry to one Mg(12), one Mg(15), one Mg(4), one Mg(9), one Au(1), one Al(1), one Al(4), one Al(7), and one Al(9) atom. In the eighth Mg site, Mg(8) is bonded in a 10-coordinate geometry to one Mg(1), one Mg(11), one Mg(12), one Mg(5), one Al(1), one Al(2), one Al(4), one Al(5), one Al(6), and one Al(7) atom. In the ninth Mg site, Mg(9) is bonded in a 13-coordinate geometry to one Mg(11), one Mg(13), one Mg(14), one Mg(3), one Mg(5), one Mg(6), one Mg(7), one Au(1), one Al(11), one Al(3), one Al(5), one Al(6), and one Al(9) atom. In the tenth Mg site, Mg(10) is bonded in a 5-coordinate geometry to one Mg(12), one Mg(15), one Mg(2), one Mg(6), one Al(10), one Al(3), one Al(4), one Al(7), and one Al(8) atom. In the eleventh Mg site, Mg(11) is bonded in a 5-coordinate geometry to one Mg(15), one Mg(2), one Mg(6), one Mg(8), one Mg(9), one Al(11), one Al(12), one Al(5), one Al(7), and one Al(8) atom. In the twelfth Mg site, Mg(12) is bonded in a 13-coordinate geometry to one Mg(10), one Mg(14), one Mg(15), one Mg(16), one Mg(3), one Mg(7), one Mg(8), one Au(1), one Al(10), one Al(12), one Al(4), one Al(6), and one Al(9) atom. In the thirteenth Mg site, Mg(13) is bonded in a 6-coordinate geometry to one Mg(1), one Mg(9), one Al(1), one Al(10), one Al(11), one Al(2), one Al(6), one Al(8), and one Al(9) atom. In the fourteenth Mg site, Mg(14) is bonded in a 4-coordinate geometry to one Mg(12), one Mg(4), one Mg(6), one Mg(9), one Au(1), one Al(1), one Al(10), one Al(11), one Al(6), and one Al(8) atom. In the fifteenth Mg site, Mg(15) is bonded in a 12-coordinate geometry to one Mg(10), one Mg(11), one Mg(12), one Mg(16), one Mg(2), one Mg(3), one Mg(7), one Al(10), one Al(11), one Al(2), one Al(7), and one Al(9) atom. In the sixteenth Mg site, Mg(16) is bonded in a 6-coordinate geometry to one Mg(12), one Mg(15), one Mg(2), one Au(1), one Al(1), one Al(12), one Al(2), one Al(6), and one Al(7) atom. Au(1) is bonded in a 11-coordinate geometry to one Mg(12), one Mg(14), one Mg(16), one Mg(3), one Mg(4), one Mg(5), one Mg(7), one Mg(9), one Al(1), one Al(10), and one Al(5) atom. There are twelve inequivalent Al sites. In the first Al site, Al(1) is bonded in a 11-coordinate geometry to one Mg(1), one Mg(13), one Mg(14), one Mg(16), one Mg(5), one Mg(7), one Mg(8), one Au(1), one Al(11), one Al(2), and one Al(4) atom. In the second Al site, Al(2) is bonded in a 11-coordinate geometry to one Mg(1), one Mg(13), one Mg(15), one Mg(16), one Mg(2), one Mg(5), one Mg(6), one Mg(8), one Al(1), one Al(10), and one Al(5) atom. In the third Al site, Al(3) is bonded in a 10-coordinate geometry to one Mg(1), one Mg(10), one Mg(2), one Mg(3), one Mg(4), one Mg(5), one Mg(9), one Al(12), one Al(6), and one Al(7) atom. In the fourth Al site, Al(4) is bonded in a 11-coordinate geometry to one Mg(1), one Mg(10), one Mg(12), one Mg(2), one Mg(3), one Mg(6), one Mg(7), one Mg(8), one Al(1), one Al(11), and one Al(6) atom. In the fifth Al site, Al(5) is bonded in a 1-coordinate geometry to one Mg(1), one Mg(11), one Mg(4), one Mg(6), one Mg(8), one Mg(9), one Au(1), one Al(10), one Al(2), and one Al(7) atom. In the sixth Al site, Al(6) is bonded in a 12-coordinate geometry to one Mg(1), one Mg(12), one Mg(13), one Mg(14), one Mg(16), one Mg(3), one Mg(6), one Mg(8), one Mg(9), one Al(3), one Al(4), and one Al(7) atom. In the seventh Al site, Al(7) is bonded in a 11-coordinate geometry to one Mg(1), one Mg(10), one Mg(11), one Mg(15), one Mg(16), one Mg(4), one Mg(7), one Mg(8), one Al(3), one Al(5), and one Al(6) atom. In the eighth Al site, Al(8) is bonded in a 11-coordinate geometry to one Mg(1), one Mg(10), one Mg(11), one Mg(13), one Mg(14), one Mg(4), one Mg(5), one Mg(6), one Al(10), one Al(12), and one Al(9) atom. In the ninth Al site, Al(9) is bonded in a 11-coordinate geometry to one Mg(1), one Mg(12), one Mg(13), one Mg(15), one Mg(3), one Mg(5), one Mg(7), one Mg(9), one Al(11), one Al(12), and one Al(8) atom. In the tenth Al site, Al(10) is bonded in a 11-coordinate geometry to one Mg(1), one Mg(10), one Mg(12), one Mg(13), one Mg(14), one Mg(15), one Mg(4), one Au(1), one Al(2), one Al(5), and one Al(8) atom. In the eleventh Al site, Al(11) is bonded in a 11-coordinate geometry to one Mg(1), one Mg(11), one Mg(13), one Mg(14), one Mg(15), one Mg(2), one Mg(3), one Mg(9), one Al(1), one Al(4), and one Al(9) atom. In the twelfth Al site, Al(12) is bonded in a 10-coordinate geometry to one Mg(1), one Mg(11), one Mg(12), one Mg(16), one Mg(2), one Mg(3), one Mg(4), one Al(3), one Al(8), and one Al(9) atom. is represented by the CIF file [CIF]
data_Mg16Al12Au
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.909
_cell_length_b   9.020
_cell_length_c   9.070
_cell_angle_alpha   108.940
_cell_angle_beta   108.740
_cell_angle_gamma   108.679
_symmetry_Int_Tables_number   1
_cell_volume   574.854
_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
  Mg  Mg0  1  0.996  0.996  0.995  1.0
  Mg  Mg1  1  0.693  0.693  0.296  1.0
  Mg  Mg2  1  0.632  0.632  0.670  1.0
  Mg  Mg3  1  0.005  0.006  0.346  1.0
  Mg  Mg4  1  0.330  0.589  0.992  1.0
  Mg  Mg5  1  0.406  0.715  0.402  1.0
  Mg  Mg6  1  0.997  0.316  0.602  1.0
  Mg  Mg7  1  0.999  0.352  0.995  1.0
  Mg  Mg8  1  0.296  0.676  0.688  1.0
  Mg  Mg9  1  0.604  0.006  0.323  1.0
  Mg  Mg10  1  0.006  0.603  0.321  1.0
  Mg  Mg11  1  0.677  0.297  0.688  1.0
  Mg  Mg12  1  0.351  0.999  0.993  1.0
  Mg  Mg13  1  0.316  0.997  0.601  1.0
  Mg  Mg14  1  0.716  0.407  0.403  1.0
  Mg  Mg15  1  0.590  0.331  0.992  1.0
  Al  Al16  1  0.183  0.182  0.817  1.0
  Al  Al17  1  0.365  0.367  0.174  1.0
  Al  Al18  1  0.648  0.831  0.016  1.0
  Al  Al19  1  0.814  0.999  0.636  1.0
  Al  Al20  1  0.182  0.370  0.363  1.0
  Al  Al21  1  0.635  0.006  0.822  1.0
  Al  Al22  1  0.819  0.193  0.185  1.0
  Al  Al23  1  0.196  0.823  0.187  1.0
  Al  Al24  1  0.007  0.635  0.822  1.0
  Al  Al25  1  0.370  0.181  0.364  1.0
  Al  Al26  1  0.000  0.815  0.638  1.0
  Al  Al27  1  0.830  0.646  0.015  1.0
  Au  Au28  1  0.336  0.336  0.657  1.0
[/CIF]
.