The compound described by Yb(Mg4Al3)4 is gamma-brass-derived structured and crystallizes in the trigonal R3m space group. There are five inequivalent Mg sites. In the first Mg site, Mg(1) is bonded in a 6-coordinate geometry to one Mg(3), four equivalent Mg(5), one Yb(1), one Al(2), two equivalent Al(1), and two equivalent Al(3) atoms. In the second Mg site, Mg(2) is bonded in a 3-coordinate geometry to one Mg(3), four equivalent Mg(5), one Yb(1), one Al(1), and four equivalent Al(3) atoms. In the third Mg site, Mg(3) is bonded in a 11-coordinate geometry to one Mg(1), one Mg(2), one Mg(4), two equivalent Mg(5), two equivalent Al(1), two equivalent Al(2), and two equivalent Al(3) atoms. In the fourth Mg site, Mg(4) is bonded in a 16-coordinate geometry to three equivalent Mg(3), one Yb(1), three equivalent Al(1), three equivalent Al(2), and six equivalent Al(3) atoms. In the fifth Mg site, Mg(5) is bonded in a 12-coordinate geometry to one Mg(3), two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(5), one Al(1), two equivalent Al(2), and two equivalent Al(3) atoms. Yb(1) is bonded in a 16-coordinate geometry to one Mg(4), three equivalent Mg(1), three equivalent Mg(2), three equivalent Al(1), and six equivalent Al(3) atoms. There are three inequivalent Al sites. In the first Al site, Al(1) is bonded in a 12-coordinate geometry to one Mg(2), one Mg(4), two equivalent Mg(1), two equivalent Mg(3), two equivalent Mg(5), one Yb(1), one Al(2), and two equivalent Al(1) atoms. In the second Al site, Al(2) is bonded in a 11-coordinate geometry to one Mg(1), one Mg(4), two equivalent Mg(3), four equivalent Mg(5), one Al(1), and two equivalent Al(3) atoms. In the third Al site, Al(3) is bonded in a 11-coordinate geometry to one Mg(1), one Mg(3), one Mg(4), two equivalent Mg(2), two equivalent Mg(5), one Yb(1), one Al(2), and two equivalent Al(3) atoms. is represented by the CIF card [CIF]
data_Yb(Mg4Al3)4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.883
_cell_length_b   9.286
_cell_length_c   9.286
_cell_angle_alpha   110.332
_cell_angle_beta   108.596
_cell_angle_gamma   108.596
_symmetry_Int_Tables_number   1
_cell_volume   595.871
_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
  Yb  Yb0  1  0.374  0.000  0.000  1.0
  Mg  Mg1  1  0.611  0.330  0.000  1.0
  Mg  Mg2  1  0.315  0.601  0.000  1.0
  Mg  Mg3  1  0.996  0.340  0.000  1.0
  Mg  Mg4  1  0.997  0.000  0.000  1.0
  Mg  Mg5  1  0.688  0.686  0.293  1.0
  Mg  Mg6  1  0.001  0.607  0.314  1.0
  Mg  Mg7  1  0.611  0.000  0.330  1.0
  Mg  Mg8  1  0.996  0.000  0.340  1.0
  Mg  Mg9  1  0.395  0.707  0.393  1.0
  Mg  Mg10  1  0.714  0.399  0.399  1.0
  Mg  Mg11  1  0.315  0.000  0.601  1.0
  Mg  Mg12  1  0.001  0.314  0.607  1.0
  Mg  Mg13  1  0.656  0.660  0.660  1.0
  Mg  Mg14  1  0.281  0.670  0.670  1.0
  Mg  Mg15  1  0.688  0.293  0.686  1.0
  Mg  Mg16  1  0.395  0.393  0.707  1.0
  Al  Al17  1  0.632  0.819  0.000  1.0
  Al  Al18  1  0.811  0.638  0.000  1.0
  Al  Al19  1  0.363  0.363  0.180  1.0
  Al  Al20  1  0.813  0.181  0.181  1.0
  Al  Al21  1  0.184  0.820  0.183  1.0
  Al  Al22  1  0.174  0.362  0.362  1.0
  Al  Al23  1  0.363  0.180  0.363  1.0
  Al  Al24  1  0.000  0.817  0.637  1.0
  Al  Al25  1  0.811  0.000  0.638  1.0
  Al  Al26  1  0.000  0.637  0.817  1.0
  Al  Al27  1  0.632  0.000  0.819  1.0
  Al  Al28  1  0.184  0.183  0.820  1.0
[/CIF]
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The compound described by Yb(Mg4Al3)4 is gamma-brass-derived structured and crystallizes in the trigonal R3m space group. There are five inequivalent Mg sites. In the first Mg site, Mg(1) is bonded in a 6-coordinate geometry to one Mg(3), four equivalent Mg(5), one Yb(1), one Al(2), two equivalent Al(1), and two equivalent Al(3) atoms. In the second Mg site, Mg(2) is bonded in a 3-coordinate geometry to one Mg(3), four equivalent Mg(5), one Yb(1), one Al(1), and four equivalent Al(3) atoms. In the third Mg site, Mg(3) is bonded in a 11-coordinate geometry to one Mg(1), one Mg(2), one Mg(4), two equivalent Mg(5), two equivalent Al(1), two equivalent Al(2), and two equivalent Al(3) atoms. In the fourth Mg site, Mg(4) is bonded in a 16-coordinate geometry to three equivalent Mg(3), one Yb(1), three equivalent Al(1), three equivalent Al(2), and six equivalent Al(3) atoms. In the fifth Mg site, Mg(5) is bonded in a 12-coordinate geometry to one Mg(3), two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(5), one Al(1), two equivalent Al(2), and two equivalent Al(3) atoms. Yb(1) is bonded in a 16-coordinate geometry to one Mg(4), three equivalent Mg(1), three equivalent Mg(2), three equivalent Al(1), and six equivalent Al(3) atoms. There are three inequivalent Al sites. In the first Al site, Al(1) is bonded in a 12-coordinate geometry to one Mg(2), one Mg(4), two equivalent Mg(1), two equivalent Mg(3), two equivalent Mg(5), one Yb(1), one Al(2), and two equivalent Al(1) atoms. In the second Al site, Al(2) is bonded in a 11-coordinate geometry to one Mg(1), one Mg(4), two equivalent Mg(3), four equivalent Mg(5), one Al(1), and two equivalent Al(3) atoms. In the third Al site, Al(3) is bonded in a 11-coordinate geometry to one Mg(1), one Mg(3), one Mg(4), two equivalent Mg(2), two equivalent Mg(5), one Yb(1), one Al(2), and two equivalent Al(3) atoms. is represented by the CIF card [CIF]
data_Yb(Mg4Al3)4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.883
_cell_length_b   9.286
_cell_length_c   9.286
_cell_angle_alpha   110.332
_cell_angle_beta   108.596
_cell_angle_gamma   108.596
_symmetry_Int_Tables_number   1
_cell_volume   595.871
_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
  Yb  Yb0  1  0.374  0.000  0.000  1.0
  Mg  Mg1  1  0.611  0.330  0.000  1.0
  Mg  Mg2  1  0.315  0.601  0.000  1.0
  Mg  Mg3  1  0.996  0.340  0.000  1.0
  Mg  Mg4  1  0.997  0.000  0.000  1.0
  Mg  Mg5  1  0.688  0.686  0.293  1.0
  Mg  Mg6  1  0.001  0.607  0.314  1.0
  Mg  Mg7  1  0.611  0.000  0.330  1.0
  Mg  Mg8  1  0.996  0.000  0.340  1.0
  Mg  Mg9  1  0.395  0.707  0.393  1.0
  Mg  Mg10  1  0.714  0.399  0.399  1.0
  Mg  Mg11  1  0.315  0.000  0.601  1.0
  Mg  Mg12  1  0.001  0.314  0.607  1.0
  Mg  Mg13  1  0.656  0.660  0.660  1.0
  Mg  Mg14  1  0.281  0.670  0.670  1.0
  Mg  Mg15  1  0.688  0.293  0.686  1.0
  Mg  Mg16  1  0.395  0.393  0.707  1.0
  Al  Al17  1  0.632  0.819  0.000  1.0
  Al  Al18  1  0.811  0.638  0.000  1.0
  Al  Al19  1  0.363  0.363  0.180  1.0
  Al  Al20  1  0.813  0.181  0.181  1.0
  Al  Al21  1  0.184  0.820  0.183  1.0
  Al  Al22  1  0.174  0.362  0.362  1.0
  Al  Al23  1  0.363  0.180  0.363  1.0
  Al  Al24  1  0.000  0.817  0.637  1.0
  Al  Al25  1  0.811  0.000  0.638  1.0
  Al  Al26  1  0.000  0.637  0.817  1.0
  Al  Al27  1  0.632  0.000  0.819  1.0
  Al  Al28  1  0.184  0.183  0.820  1.0
[/CIF]
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