The structure described by MgZn crystallizes in the orthorhombic Amm2 space group. There are three inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Mg(2), three equivalent Mg(1), three equivalent Zn(1), and four equivalent Zn(2) atoms to form distorted MgMg5Zn7 cuboctahedra that share corners with nine equivalent Mg(1)Mg5Zn7 cuboctahedra; corners with nine equivalent Zn(1)Mg8Zn4 cuboctahedra; edges with four equivalent Mg(2)Mg4Zn8 cuboctahedra; edges with six equivalent Mg(1)Mg5Zn7 cuboctahedra; edges with eight equivalent Zn(2)Mg7Zn5 cuboctahedra; faces with three equivalent Zn(1)Mg8Zn4 cuboctahedra; faces with four equivalent Mg(2)Mg4Zn8 cuboctahedra; faces with five Mg(1,1)Mg5Zn7 cuboctahedra; and faces with eight equivalent Zn(2)Mg7Zn5 cuboctahedra. In the second Mg site, Mg(1) is bonded to two equivalent Mg(2), three equivalent Mg(1), three equivalent Zn(1), and four equivalent Zn(2) atoms to form distorted MgMg5Zn7 cuboctahedra that share corners with nine equivalent Mg(1)Mg5Zn7 cuboctahedra; corners with nine equivalent Zn(1)Mg8Zn4 cuboctahedra; edges with four equivalent Mg(2)Mg4Zn8 cuboctahedra; edges with six equivalent Mg(1)Mg5Zn7 cuboctahedra; edges with eight equivalent Zn(2)Mg7Zn5 cuboctahedra; faces with three equivalent Zn(1)Mg8Zn4 cuboctahedra; faces with four equivalent Mg(2)Mg4Zn8 cuboctahedra; faces with five Mg(1,1)Mg5Zn7 cuboctahedra; and faces with eight equivalent Zn(2)Mg7Zn5 cuboctahedra. In the third Mg site, Mg(2) is bonded to four Mg(1,1); two equivalent Zn(1); and six equivalent Zn(2) atoms to form distorted MgMg4Zn8 cuboctahedra that share corners with eighteen equivalent Zn(2)Mg7Zn5 cuboctahedra; edges with four equivalent Zn(1)Mg8Zn4 cuboctahedra; edges with six equivalent Mg(2)Mg4Zn8 cuboctahedra; edges with eight Mg(1,1)Mg5Zn7 cuboctahedra; faces with two equivalent Mg(2)Mg4Zn8 cuboctahedra; faces with four equivalent Zn(1)Mg8Zn4 cuboctahedra; faces with six equivalent Zn(2)Mg7Zn5 cuboctahedra; and faces with eight Mg(1,1)Mg5Zn7 cuboctahedra. There are two inequivalent Zn sites. In the first Zn site, Zn(1) is bonded to two equivalent Mg(2); six Mg(1,1); and four equivalent Zn(2) atoms to form distorted ZnMg8Zn4 cuboctahedra that share corners with eighteen Mg(1,1)Mg5Zn7 cuboctahedra; edges with four equivalent Mg(2)Mg4Zn8 cuboctahedra; edges with six equivalent Zn(1)Mg8Zn4 cuboctahedra; edges with eight equivalent Zn(2)Mg7Zn5 cuboctahedra; faces with two equivalent Zn(1)Mg8Zn4 cuboctahedra; faces with four equivalent Mg(2)Mg4Zn8 cuboctahedra; faces with six Mg(1,1)Mg5Zn7 cuboctahedra; and faces with eight equivalent Zn(2)Mg7Zn5 cuboctahedra. In the second Zn site, Zn(2) is bonded to three equivalent Mg(2); four Mg(1,1); two equivalent Zn(1); and three equivalent Zn(2) atoms to form distorted ZnMg7Zn5 cuboctahedra that share corners with nine equivalent Mg(2)Mg4Zn8 cuboctahedra; corners with nine equivalent Zn(2)Mg7Zn5 cuboctahedra; edges with four equivalent Zn(1)Mg8Zn4 cuboctahedra; edges with six equivalent Zn(2)Mg7Zn5 cuboctahedra; edges with eight Mg(1,1)Mg5Zn7 cuboctahedra; faces with three equivalent Mg(2)Mg4Zn8 cuboctahedra; faces with four equivalent Zn(1)Mg8Zn4 cuboctahedra; faces with five equivalent Zn(2)Mg7Zn5 cuboctahedra; and faces with eight Mg(1,1)Mg5Zn7 cuboctahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_MgZn
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.112
_cell_length_b   5.112
_cell_length_c   4.822
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   119.802
_symmetry_Int_Tables_number   1
_cell_volume   109.350
_cell_formula_units_Z   3
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  0.982  0.328  0.000  1.0
  Mg  Mg1  1  0.328  0.982  0.000  1.0
  Mg  Mg2  1  0.355  0.355  0.500  1.0
  Zn  Zn3  1  0.672  0.672  0.000  1.0
  Zn  Zn4  1  0.990  0.673  0.500  1.0
  Zn  Zn5  1  0.673  0.990  0.500  1.0
[/CIF]
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The structure described by MgZn crystallizes in the orthorhombic Amm2 space group. There are three inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Mg(2), three equivalent Mg(1), three equivalent Zn(1), and four equivalent Zn(2) atoms to form distorted MgMg5Zn7 cuboctahedra that share corners with nine equivalent Mg(1)Mg5Zn7 cuboctahedra; corners with nine equivalent Zn(1)Mg8Zn4 cuboctahedra; edges with four equivalent Mg(2)Mg4Zn8 cuboctahedra; edges with six equivalent Mg(1)Mg5Zn7 cuboctahedra; edges with eight equivalent Zn(2)Mg7Zn5 cuboctahedra; faces with three equivalent Zn(1)Mg8Zn4 cuboctahedra; faces with four equivalent Mg(2)Mg4Zn8 cuboctahedra; faces with five Mg(1,1)Mg5Zn7 cuboctahedra; and faces with eight equivalent Zn(2)Mg7Zn5 cuboctahedra. In the second Mg site, Mg(1) is bonded to two equivalent Mg(2), three equivalent Mg(1), three equivalent Zn(1), and four equivalent Zn(2) atoms to form distorted MgMg5Zn7 cuboctahedra that share corners with nine equivalent Mg(1)Mg5Zn7 cuboctahedra; corners with nine equivalent Zn(1)Mg8Zn4 cuboctahedra; edges with four equivalent Mg(2)Mg4Zn8 cuboctahedra; edges with six equivalent Mg(1)Mg5Zn7 cuboctahedra; edges with eight equivalent Zn(2)Mg7Zn5 cuboctahedra; faces with three equivalent Zn(1)Mg8Zn4 cuboctahedra; faces with four equivalent Mg(2)Mg4Zn8 cuboctahedra; faces with five Mg(1,1)Mg5Zn7 cuboctahedra; and faces with eight equivalent Zn(2)Mg7Zn5 cuboctahedra. In the third Mg site, Mg(2) is bonded to four Mg(1,1); two equivalent Zn(1); and six equivalent Zn(2) atoms to form distorted MgMg4Zn8 cuboctahedra that share corners with eighteen equivalent Zn(2)Mg7Zn5 cuboctahedra; edges with four equivalent Zn(1)Mg8Zn4 cuboctahedra; edges with six equivalent Mg(2)Mg4Zn8 cuboctahedra; edges with eight Mg(1,1)Mg5Zn7 cuboctahedra; faces with two equivalent Mg(2)Mg4Zn8 cuboctahedra; faces with four equivalent Zn(1)Mg8Zn4 cuboctahedra; faces with six equivalent Zn(2)Mg7Zn5 cuboctahedra; and faces with eight Mg(1,1)Mg5Zn7 cuboctahedra. There are two inequivalent Zn sites. In the first Zn site, Zn(1) is bonded to two equivalent Mg(2); six Mg(1,1); and four equivalent Zn(2) atoms to form distorted ZnMg8Zn4 cuboctahedra that share corners with eighteen Mg(1,1)Mg5Zn7 cuboctahedra; edges with four equivalent Mg(2)Mg4Zn8 cuboctahedra; edges with six equivalent Zn(1)Mg8Zn4 cuboctahedra; edges with eight equivalent Zn(2)Mg7Zn5 cuboctahedra; faces with two equivalent Zn(1)Mg8Zn4 cuboctahedra; faces with four equivalent Mg(2)Mg4Zn8 cuboctahedra; faces with six Mg(1,1)Mg5Zn7 cuboctahedra; and faces with eight equivalent Zn(2)Mg7Zn5 cuboctahedra. In the second Zn site, Zn(2) is bonded to three equivalent Mg(2); four Mg(1,1); two equivalent Zn(1); and three equivalent Zn(2) atoms to form distorted ZnMg7Zn5 cuboctahedra that share corners with nine equivalent Mg(2)Mg4Zn8 cuboctahedra; corners with nine equivalent Zn(2)Mg7Zn5 cuboctahedra; edges with four equivalent Zn(1)Mg8Zn4 cuboctahedra; edges with six equivalent Zn(2)Mg7Zn5 cuboctahedra; edges with eight Mg(1,1)Mg5Zn7 cuboctahedra; faces with three equivalent Mg(2)Mg4Zn8 cuboctahedra; faces with four equivalent Zn(1)Mg8Zn4 cuboctahedra; faces with five equivalent Zn(2)Mg7Zn5 cuboctahedra; and faces with eight Mg(1,1)Mg5Zn7 cuboctahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_MgZn
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.112
_cell_length_b   5.112
_cell_length_c   4.822
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   119.802
_symmetry_Int_Tables_number   1
_cell_volume   109.350
_cell_formula_units_Z   3
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  0.982  0.328  0.000  1.0
  Mg  Mg1  1  0.328  0.982  0.000  1.0
  Mg  Mg2  1  0.355  0.355  0.500  1.0
  Zn  Zn3  1  0.672  0.672  0.000  1.0
  Zn  Zn4  1  0.990  0.673  0.500  1.0
  Zn  Zn5  1  0.673  0.990  0.500  1.0
[/CIF]
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