The crystal structure described by AgAlMg crystallizes in the orthorhombic Amm2 space group. There are five inequivalent Mg sites. In the first Mg site, Mg(1) is bonded in a 16-coordinate geometry to one Mg(1), three equivalent Mg(2), three equivalent Ag(1), four equivalent Ag(2), one Al(3), two equivalent Al(1), and two equivalent Al(2) atoms. In the second Mg site, Mg(2) is bonded in a 16-coordinate geometry to one Mg(2); three Mg(1,1); two equivalent Ag(2); three equivalent Ag(1); one Al(1); two equivalent Al(3); and four equivalent Al(2) atoms. In the third Mg site, Mg(1) is bonded in a 16-coordinate geometry to one Mg(1), three equivalent Mg(2), three equivalent Ag(1), four equivalent Ag(2), one Al(3), two equivalent Al(1), and two equivalent Al(2) atoms. In the fourth Mg site, Mg(1) is bonded in a 16-coordinate geometry to one Mg(1), three equivalent Mg(2), three equivalent Ag(1), four equivalent Ag(2), one Al(3), two equivalent Al(1), and two equivalent Al(2) atoms. In the fifth Mg site, Mg(1) is bonded in a 16-coordinate geometry to one Mg(1), three equivalent Mg(2), three equivalent Ag(1), four equivalent Ag(2), one Al(3), two equivalent Al(1), and two equivalent Al(2) atoms. There are two inequivalent Ag sites. In the first Ag site, Ag(1) is bonded to three Mg(1,1); three equivalent Mg(2); two equivalent Ag(2); one Al(1); one Al(3); and two equivalent Al(2) atoms to form distorted AgMg6Al4Ag2 cuboctahedra that share corners with two equivalent Al(1)Mg6Ag6 cuboctahedra, corners with two equivalent Al(3)Mg6Al4Ag2 cuboctahedra, corners with four equivalent Ag(2)Mg6Al2Ag4 cuboctahedra, edges with six equivalent Ag(1)Mg6Al4Ag2 cuboctahedra, faces with two equivalent Ag(1)Mg6Al4Ag2 cuboctahedra, faces with three equivalent Al(1)Mg6Ag6 cuboctahedra, faces with three equivalent Al(3)Mg6Al4Ag2 cuboctahedra, and faces with six equivalent Ag(2)Mg6Al2Ag4 cuboctahedra. In the second Ag site, Ag(2) is bonded to two equivalent Mg(2); four Mg(1,1,1,1); two equivalent Ag(1); two equivalent Ag(2); and two equivalent Al(1) atoms to form distorted AgMg6Al2Ag4 cuboctahedra that share corners with four equivalent Ag(2)Mg6Al2Ag4 cuboctahedra, corners with four equivalent Ag(1)Mg6Al4Ag2 cuboctahedra, corners with four equivalent Al(3)Mg6Al4Ag2 cuboctahedra, edges with two equivalent Ag(2)Mg6Al2Ag4 cuboctahedra, faces with two equivalent Al(3)Mg6Al4Ag2 cuboctahedra, faces with four equivalent Ag(2)Mg6Al2Ag4 cuboctahedra, faces with four equivalent Al(1)Mg6Ag6 cuboctahedra, and faces with six equivalent Ag(1)Mg6Al4Ag2 cuboctahedra. There are three inequivalent Al sites. In the first Al site, Al(1) is bonded to two equivalent Mg(2); four Mg(1,1); two equivalent Ag(1); and four equivalent Ag(2) atoms to form distorted AlMg6Ag6 cuboctahedra that share corners with two equivalent Al(3)Mg6Al4Ag2 cuboctahedra, corners with four equivalent Ag(1)Mg6Al4Ag2 cuboctahedra, corners with four equivalent Al(1)Mg6Ag6 cuboctahedra, edges with two equivalent Al(1)Mg6Ag6 cuboctahedra, edges with four equivalent Al(3)Mg6Al4Ag2 cuboctahedra, faces with six equivalent Ag(1)Mg6Al4Ag2 cuboctahedra, and faces with eight equivalent Ag(2)Mg6Al2Ag4 cuboctahedra. In the second Al site, Al(2) is bonded in a 2-coordinate geometry to two Mg(1,1); four equivalent Mg(2); two equivalent Ag(1); and two equivalent Al(3) atoms. In the third Al site, Al(3) is bonded to two Mg(1,1); four equivalent Mg(2); two equivalent Ag(1); and four equivalent Al(2) atoms to form distorted AlMg6Al4Ag2 cuboctahedra that share corners with two equivalent Al(1)Mg6Ag6 cuboctahedra, corners with four equivalent Ag(1)Mg6Al4Ag2 cuboctahedra, corners with four equivalent Al(3)Mg6Al4Ag2 cuboctahedra, corners with eight equivalent Ag(2)Mg6Al2Ag4 cuboctahedra, edges with two equivalent Al(3)Mg6Al4Ag2 cuboctahedra, edges with four equivalent Al(1)Mg6Ag6 cuboctahedra, faces with four equivalent Ag(2)Mg6Al2Ag4 cuboctahedra, and faces with six equivalent Ag(1)Mg6Al4Ag2 cuboctahedra. is represented by the CIF file [CIF]
data_MgAlAg
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.394
_cell_length_b   5.395
_cell_length_c   8.736
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   61.836
_symmetry_Int_Tables_number   1
_cell_volume   224.134
_cell_formula_units_Z   4
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  0.331  0.332  0.565  1.0
  Mg  Mg1  1  0.666  0.666  0.436  1.0
  Mg  Mg2  1  0.666  0.666  0.064  1.0
  Mg  Mg3  1  0.331  0.332  0.935  1.0
  Al  Al4  1  0.837  0.837  0.750  1.0
  Al  Al5  1  0.179  0.653  0.250  1.0
  Al  Al6  1  0.653  0.179  0.250  1.0
  Al  Al7  1  0.170  0.170  0.250  1.0
  Ag  Ag8  1  0.989  0.989  0.488  1.0
  Ag  Ag9  1  0.989  0.989  0.012  1.0
  Ag  Ag10  1  0.839  0.348  0.750  1.0
  Ag  Ag11  1  0.348  0.840  0.750  1.0
[/CIF]
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The crystal structure described by AgAlMg crystallizes in the orthorhombic Amm2 space group. There are five inequivalent Mg sites. In the first Mg site, Mg(1) is bonded in a 16-coordinate geometry to one Mg(1), three equivalent Mg(2), three equivalent Ag(1), four equivalent Ag(2), one Al(3), two equivalent Al(1), and two equivalent Al(2) atoms. In the second Mg site, Mg(2) is bonded in a 16-coordinate geometry to one Mg(2); three Mg(1,1); two equivalent Ag(2); three equivalent Ag(1); one Al(1); two equivalent Al(3); and four equivalent Al(2) atoms. In the third Mg site, Mg(1) is bonded in a 16-coordinate geometry to one Mg(1), three equivalent Mg(2), three equivalent Ag(1), four equivalent Ag(2), one Al(3), two equivalent Al(1), and two equivalent Al(2) atoms. In the fourth Mg site, Mg(1) is bonded in a 16-coordinate geometry to one Mg(1), three equivalent Mg(2), three equivalent Ag(1), four equivalent Ag(2), one Al(3), two equivalent Al(1), and two equivalent Al(2) atoms. In the fifth Mg site, Mg(1) is bonded in a 16-coordinate geometry to one Mg(1), three equivalent Mg(2), three equivalent Ag(1), four equivalent Ag(2), one Al(3), two equivalent Al(1), and two equivalent Al(2) atoms. There are two inequivalent Ag sites. In the first Ag site, Ag(1) is bonded to three Mg(1,1); three equivalent Mg(2); two equivalent Ag(2); one Al(1); one Al(3); and two equivalent Al(2) atoms to form distorted AgMg6Al4Ag2 cuboctahedra that share corners with two equivalent Al(1)Mg6Ag6 cuboctahedra, corners with two equivalent Al(3)Mg6Al4Ag2 cuboctahedra, corners with four equivalent Ag(2)Mg6Al2Ag4 cuboctahedra, edges with six equivalent Ag(1)Mg6Al4Ag2 cuboctahedra, faces with two equivalent Ag(1)Mg6Al4Ag2 cuboctahedra, faces with three equivalent Al(1)Mg6Ag6 cuboctahedra, faces with three equivalent Al(3)Mg6Al4Ag2 cuboctahedra, and faces with six equivalent Ag(2)Mg6Al2Ag4 cuboctahedra. In the second Ag site, Ag(2) is bonded to two equivalent Mg(2); four Mg(1,1,1,1); two equivalent Ag(1); two equivalent Ag(2); and two equivalent Al(1) atoms to form distorted AgMg6Al2Ag4 cuboctahedra that share corners with four equivalent Ag(2)Mg6Al2Ag4 cuboctahedra, corners with four equivalent Ag(1)Mg6Al4Ag2 cuboctahedra, corners with four equivalent Al(3)Mg6Al4Ag2 cuboctahedra, edges with two equivalent Ag(2)Mg6Al2Ag4 cuboctahedra, faces with two equivalent Al(3)Mg6Al4Ag2 cuboctahedra, faces with four equivalent Ag(2)Mg6Al2Ag4 cuboctahedra, faces with four equivalent Al(1)Mg6Ag6 cuboctahedra, and faces with six equivalent Ag(1)Mg6Al4Ag2 cuboctahedra. There are three inequivalent Al sites. In the first Al site, Al(1) is bonded to two equivalent Mg(2); four Mg(1,1); two equivalent Ag(1); and four equivalent Ag(2) atoms to form distorted AlMg6Ag6 cuboctahedra that share corners with two equivalent Al(3)Mg6Al4Ag2 cuboctahedra, corners with four equivalent Ag(1)Mg6Al4Ag2 cuboctahedra, corners with four equivalent Al(1)Mg6Ag6 cuboctahedra, edges with two equivalent Al(1)Mg6Ag6 cuboctahedra, edges with four equivalent Al(3)Mg6Al4Ag2 cuboctahedra, faces with six equivalent Ag(1)Mg6Al4Ag2 cuboctahedra, and faces with eight equivalent Ag(2)Mg6Al2Ag4 cuboctahedra. In the second Al site, Al(2) is bonded in a 2-coordinate geometry to two Mg(1,1); four equivalent Mg(2); two equivalent Ag(1); and two equivalent Al(3) atoms. In the third Al site, Al(3) is bonded to two Mg(1,1); four equivalent Mg(2); two equivalent Ag(1); and four equivalent Al(2) atoms to form distorted AlMg6Al4Ag2 cuboctahedra that share corners with two equivalent Al(1)Mg6Ag6 cuboctahedra, corners with four equivalent Ag(1)Mg6Al4Ag2 cuboctahedra, corners with four equivalent Al(3)Mg6Al4Ag2 cuboctahedra, corners with eight equivalent Ag(2)Mg6Al2Ag4 cuboctahedra, edges with two equivalent Al(3)Mg6Al4Ag2 cuboctahedra, edges with four equivalent Al(1)Mg6Ag6 cuboctahedra, faces with four equivalent Ag(2)Mg6Al2Ag4 cuboctahedra, and faces with six equivalent Ag(1)Mg6Al4Ag2 cuboctahedra. is represented by the CIF file [CIF]
data_MgAlAg
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.394
_cell_length_b   5.395
_cell_length_c   8.736
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   61.836
_symmetry_Int_Tables_number   1
_cell_volume   224.134
_cell_formula_units_Z   4
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  0.331  0.332  0.565  1.0
  Mg  Mg1  1  0.666  0.666  0.436  1.0
  Mg  Mg2  1  0.666  0.666  0.064  1.0
  Mg  Mg3  1  0.331  0.332  0.935  1.0
  Al  Al4  1  0.837  0.837  0.750  1.0
  Al  Al5  1  0.179  0.653  0.250  1.0
  Al  Al6  1  0.653  0.179  0.250  1.0
  Al  Al7  1  0.170  0.170  0.250  1.0
  Ag  Ag8  1  0.989  0.989  0.488  1.0
  Ag  Ag9  1  0.989  0.989  0.012  1.0
  Ag  Ag10  1  0.839  0.348  0.750  1.0
  Ag  Ag11  1  0.348  0.840  0.750  1.0
[/CIF]
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