The material described by Mg6CuBi crystallizes in the orthorhombic Amm2 space group. There are four inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), two equivalent Cu(1), and two equivalent Bi(1) atoms to form distorted MgMg8Cu2Bi2 cuboctahedra that share corners with four equivalent Cu(1)Mg10Bi2 cuboctahedra, corners with four equivalent Bi(1)Mg10Cu2 cuboctahedra, corners with ten equivalent Mg(1)Mg8Cu2Bi2 cuboctahedra, edges with two equivalent Mg(1)Mg8Cu2Bi2 cuboctahedra, edges with two equivalent Cu(1)Mg10Bi2 cuboctahedra, edges with two equivalent Bi(1)Mg10Cu2 cuboctahedra, faces with two equivalent Cu(1)Mg10Bi2 cuboctahedra, faces with two equivalent Bi(1)Mg10Cu2 cuboctahedra, and faces with four equivalent Mg(1)Mg8Cu2Bi2 cuboctahedra. In the second Mg site, Mg(2) is bonded in a 4-coordinate geometry to two equivalent Mg(1), two equivalent Cu(1), and two equivalent Bi(1) atoms. In the third Mg site, Mg(3) is bonded in a distorted water-like geometry to four equivalent Mg(1) and two equivalent Cu(1) atoms. In the fourth Mg site, Mg(4) is bonded in a distorted water-like geometry to four equivalent Mg(1) and two equivalent Bi(1) atoms. Cu(1) is bonded to two equivalent Mg(3), four equivalent Mg(1), four equivalent Mg(2), and two equivalent Bi(1) atoms to form CuMg10Bi2 cuboctahedra that share corners with four equivalent Bi(1)Mg10Cu2 cuboctahedra, corners with six equivalent Cu(1)Mg10Bi2 cuboctahedra, corners with eight equivalent Mg(1)Mg8Cu2Bi2 cuboctahedra, edges with two equivalent Bi(1)Mg10Cu2 cuboctahedra, edges with four equivalent Mg(1)Mg8Cu2Bi2 cuboctahedra, faces with two equivalent Cu(1)Mg10Bi2 cuboctahedra, faces with two equivalent Bi(1)Mg10Cu2 cuboctahedra, and faces with four equivalent Mg(1)Mg8Cu2Bi2 cuboctahedra. Bi(1) is bonded to two equivalent Mg(4), four equivalent Mg(1), four equivalent Mg(2), and two equivalent Cu(1) atoms to form BiMg10Cu2 cuboctahedra that share corners with four equivalent Cu(1)Mg10Bi2 cuboctahedra, corners with six equivalent Bi(1)Mg10Cu2 cuboctahedra, corners with eight equivalent Mg(1)Mg8Cu2Bi2 cuboctahedra, edges with two equivalent Cu(1)Mg10Bi2 cuboctahedra, edges with four equivalent Mg(1)Mg8Cu2Bi2 cuboctahedra, faces with two equivalent Cu(1)Mg10Bi2 cuboctahedra, faces with two equivalent Bi(1)Mg10Cu2 cuboctahedra, and faces with four equivalent Mg(1)Mg8Cu2Bi2 cuboctahedra. is represented by the CIF file [CIF]
data_Mg6CuBi
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   4.985
_cell_length_b   6.350
_cell_length_c   6.350
_cell_angle_alpha   118.516
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   176.603
_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
  Bi  Bi0  1  0.500  0.666  0.334  1.0
  Cu  Cu1  1  0.500  0.164  0.836  1.0
  Mg  Mg2  1  0.500  0.167  0.336  1.0
  Mg  Mg3  1  0.500  0.664  0.833  1.0
  Mg  Mg4  1  0.000  0.314  0.144  1.0
  Mg  Mg5  1  0.000  0.856  0.686  1.0
  Mg  Mg6  1  0.000  0.329  0.671  1.0
  Mg  Mg7  1  0.000  0.840  0.160  1.0
[/CIF]
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The material described by Mg6CuBi crystallizes in the orthorhombic Amm2 space group. There are four inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), two equivalent Cu(1), and two equivalent Bi(1) atoms to form distorted MgMg8Cu2Bi2 cuboctahedra that share corners with four equivalent Cu(1)Mg10Bi2 cuboctahedra, corners with four equivalent Bi(1)Mg10Cu2 cuboctahedra, corners with ten equivalent Mg(1)Mg8Cu2Bi2 cuboctahedra, edges with two equivalent Mg(1)Mg8Cu2Bi2 cuboctahedra, edges with two equivalent Cu(1)Mg10Bi2 cuboctahedra, edges with two equivalent Bi(1)Mg10Cu2 cuboctahedra, faces with two equivalent Cu(1)Mg10Bi2 cuboctahedra, faces with two equivalent Bi(1)Mg10Cu2 cuboctahedra, and faces with four equivalent Mg(1)Mg8Cu2Bi2 cuboctahedra. In the second Mg site, Mg(2) is bonded in a 4-coordinate geometry to two equivalent Mg(1), two equivalent Cu(1), and two equivalent Bi(1) atoms. In the third Mg site, Mg(3) is bonded in a distorted water-like geometry to four equivalent Mg(1) and two equivalent Cu(1) atoms. In the fourth Mg site, Mg(4) is bonded in a distorted water-like geometry to four equivalent Mg(1) and two equivalent Bi(1) atoms. Cu(1) is bonded to two equivalent Mg(3), four equivalent Mg(1), four equivalent Mg(2), and two equivalent Bi(1) atoms to form CuMg10Bi2 cuboctahedra that share corners with four equivalent Bi(1)Mg10Cu2 cuboctahedra, corners with six equivalent Cu(1)Mg10Bi2 cuboctahedra, corners with eight equivalent Mg(1)Mg8Cu2Bi2 cuboctahedra, edges with two equivalent Bi(1)Mg10Cu2 cuboctahedra, edges with four equivalent Mg(1)Mg8Cu2Bi2 cuboctahedra, faces with two equivalent Cu(1)Mg10Bi2 cuboctahedra, faces with two equivalent Bi(1)Mg10Cu2 cuboctahedra, and faces with four equivalent Mg(1)Mg8Cu2Bi2 cuboctahedra. Bi(1) is bonded to two equivalent Mg(4), four equivalent Mg(1), four equivalent Mg(2), and two equivalent Cu(1) atoms to form BiMg10Cu2 cuboctahedra that share corners with four equivalent Cu(1)Mg10Bi2 cuboctahedra, corners with six equivalent Bi(1)Mg10Cu2 cuboctahedra, corners with eight equivalent Mg(1)Mg8Cu2Bi2 cuboctahedra, edges with two equivalent Cu(1)Mg10Bi2 cuboctahedra, edges with four equivalent Mg(1)Mg8Cu2Bi2 cuboctahedra, faces with two equivalent Cu(1)Mg10Bi2 cuboctahedra, faces with two equivalent Bi(1)Mg10Cu2 cuboctahedra, and faces with four equivalent Mg(1)Mg8Cu2Bi2 cuboctahedra. is represented by the CIF file [CIF]
data_Mg6CuBi
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   4.985
_cell_length_b   6.350
_cell_length_c   6.350
_cell_angle_alpha   118.516
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   176.603
_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
  Bi  Bi0  1  0.500  0.666  0.334  1.0
  Cu  Cu1  1  0.500  0.164  0.836  1.0
  Mg  Mg2  1  0.500  0.167  0.336  1.0
  Mg  Mg3  1  0.500  0.664  0.833  1.0
  Mg  Mg4  1  0.000  0.314  0.144  1.0
  Mg  Mg5  1  0.000  0.856  0.686  1.0
  Mg  Mg6  1  0.000  0.329  0.671  1.0
  Mg  Mg7  1  0.000  0.840  0.160  1.0
[/CIF]
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