The compound described by Mg2Zn 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), four equivalent Mg(4), and two equivalent Zn(1) atoms to form distorted MgMg10Zn2 cuboctahedra that share corners with six equivalent Mg(1)Mg10Zn2 cuboctahedra, corners with six equivalent Mg(3)Mg6Zn6 cuboctahedra, corners with six equivalent Mg(2)Mg8Zn4 cuboctahedra, edges with three equivalent Mg(3)Mg6Zn6 cuboctahedra, edges with three equivalent Mg(2)Mg8Zn4 cuboctahedra, edges with four equivalent Mg(4)Mg8Zn4 cuboctahedra, edges with eight equivalent Zn(2)Mg8Zn4 cuboctahedra, faces with two equivalent Mg(3)Mg6Zn6 cuboctahedra, faces with two equivalent Mg(2)Mg8Zn4 cuboctahedra, faces with two equivalent Zn(2)Mg8Zn4 cuboctahedra, faces with four equivalent Mg(1)Mg10Zn2 cuboctahedra, faces with four equivalent Mg(4)Mg8Zn4 cuboctahedra, and faces with six equivalent Zn(1)Mg8Zn4 cuboctahedra. In the second Mg site, Mg(2) is bonded to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), and four equivalent Zn(2) atoms to form distorted MgMg8Zn4 cuboctahedra that share corners with six equivalent Mg(1)Mg10Zn2 cuboctahedra, corners with six equivalent Mg(3)Mg6Zn6 cuboctahedra, corners with six equivalent Mg(2)Mg8Zn4 cuboctahedra, edges with three equivalent Mg(1)Mg10Zn2 cuboctahedra, edges with three equivalent Mg(3)Mg6Zn6 cuboctahedra, edges with four equivalent Zn(2)Mg8Zn4 cuboctahedra, edges with eight equivalent Zn(1)Mg8Zn4 cuboctahedra, faces with two equivalent Mg(1)Mg10Zn2 cuboctahedra, faces with two equivalent Mg(3)Mg6Zn6 cuboctahedra, faces with two equivalent Zn(1)Mg8Zn4 cuboctahedra, faces with four equivalent Mg(2)Mg8Zn4 cuboctahedra, faces with four equivalent Zn(2)Mg8Zn4 cuboctahedra, and faces with six equivalent Mg(4)Mg8Zn4 cuboctahedra. In the third Mg site, Mg(3) is bonded to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Zn(2), and four equivalent Zn(1) atoms to form distorted MgMg6Zn6 cuboctahedra that share corners with six equivalent Mg(1)Mg10Zn2 cuboctahedra, corners with six equivalent Mg(3)Mg6Zn6 cuboctahedra, corners with six equivalent Mg(2)Mg8Zn4 cuboctahedra, edges with three equivalent Mg(1)Mg10Zn2 cuboctahedra, edges with three equivalent Mg(2)Mg8Zn4 cuboctahedra, edges with four equivalent Zn(1)Mg8Zn4 cuboctahedra, edges with eight equivalent Mg(4)Mg8Zn4 cuboctahedra, faces with two equivalent Mg(1)Mg10Zn2 cuboctahedra, faces with two equivalent Mg(2)Mg8Zn4 cuboctahedra, faces with two equivalent Mg(4)Mg8Zn4 cuboctahedra, faces with four equivalent Mg(3)Mg6Zn6 cuboctahedra, faces with four equivalent Zn(1)Mg8Zn4 cuboctahedra, and faces with six equivalent Zn(2)Mg8Zn4 cuboctahedra. In the fourth Mg site, Mg(4) is bonded to two equivalent Mg(2), two equivalent Mg(4), four equivalent Mg(1), two equivalent Zn(1), and two equivalent Zn(2) atoms to form MgMg8Zn4 cuboctahedra that share corners with six equivalent Mg(4)Mg8Zn4 cuboctahedra, corners with six equivalent Zn(1)Mg8Zn4 cuboctahedra, corners with six equivalent Zn(2)Mg8Zn4 cuboctahedra, edges with three equivalent Zn(1)Mg8Zn4 cuboctahedra, edges with three equivalent Zn(2)Mg8Zn4 cuboctahedra, edges with four equivalent Mg(1)Mg10Zn2 cuboctahedra, edges with eight equivalent Mg(3)Mg6Zn6 cuboctahedra, faces with two equivalent Mg(3)Mg6Zn6 cuboctahedra, faces with two equivalent Zn(1)Mg8Zn4 cuboctahedra, faces with two equivalent Zn(2)Mg8Zn4 cuboctahedra, faces with four equivalent Mg(1)Mg10Zn2 cuboctahedra, faces with four equivalent Mg(4)Mg8Zn4 cuboctahedra, and faces with six equivalent Mg(2)Mg8Zn4 cuboctahedra. There are two inequivalent Zn sites. In the first Zn site, Zn(1) is bonded to two equivalent Mg(1), two equivalent Mg(4), four equivalent Mg(3), two equivalent Zn(1), and two equivalent Zn(2) atoms to form distorted ZnMg8Zn4 cuboctahedra that share corners with six equivalent Mg(4)Mg8Zn4 cuboctahedra, corners with six equivalent Zn(1)Mg8Zn4 cuboctahedra, corners with six equivalent Zn(2)Mg8Zn4 cuboctahedra, edges with three equivalent Mg(4)Mg8Zn4 cuboctahedra, edges with three equivalent Zn(2)Mg8Zn4 cuboctahedra, edges with four equivalent Mg(3)Mg6Zn6 cuboctahedra, edges with eight equivalent Mg(2)Mg8Zn4 cuboctahedra, faces with two equivalent Mg(2)Mg8Zn4 cuboctahedra, faces with two equivalent Mg(4)Mg8Zn4 cuboctahedra, faces with two equivalent Zn(2)Mg8Zn4 cuboctahedra, faces with four equivalent Mg(3)Mg6Zn6 cuboctahedra, faces with four equivalent Zn(1)Mg8Zn4 cuboctahedra, and faces with six equivalent Mg(1)Mg10Zn2 cuboctahedra. In the second Zn site, Zn(2) is bonded to two equivalent Mg(3), two equivalent Mg(4), four equivalent Mg(2), two equivalent Zn(1), and two equivalent Zn(2) atoms to form distorted ZnMg8Zn4 cuboctahedra that share corners with six equivalent Mg(4)Mg8Zn4 cuboctahedra, corners with six equivalent Zn(1)Mg8Zn4 cuboctahedra, corners with six equivalent Zn(2)Mg8Zn4 cuboctahedra, edges with three equivalent Mg(4)Mg8Zn4 cuboctahedra, edges with three equivalent Zn(1)Mg8Zn4 cuboctahedra, edges with four equivalent Mg(2)Mg8Zn4 cuboctahedra, edges with eight equivalent Mg(1)Mg10Zn2 cuboctahedra, faces with two equivalent Mg(1)Mg10Zn2 cuboctahedra, faces with two equivalent Mg(4)Mg8Zn4 cuboctahedra, faces with two equivalent Zn(1)Mg8Zn4 cuboctahedra, faces with four equivalent Mg(2)Mg8Zn4 cuboctahedra, faces with four equivalent Zn(2)Mg8Zn4 cuboctahedra, and faces with six equivalent Mg(3)Mg6Zn6 cuboctahedra. is represented by the CIF card [CIF]
data_Mg2Zn
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.076
_cell_length_b   8.076
_cell_length_c   4.856
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   157.906
_symmetry_Int_Tables_number   1
_cell_volume   119.131
_cell_formula_units_Z   2
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  0.003  0.997  0.000  1.0
  Mg  Mg1  1  0.331  0.669  0.000  1.0
  Mg  Mg2  1  0.666  0.334  0.000  1.0
  Mg  Mg3  1  0.445  0.555  0.500  1.0
  Zn  Zn4  1  0.113  0.887  0.500  1.0
  Zn  Zn5  1  0.776  0.224  0.500  1.0
[/CIF]
.
The compound described by Mg2Zn 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), four equivalent Mg(4), and two equivalent Zn(1) atoms to form distorted MgMg10Zn2 cuboctahedra that share corners with six equivalent Mg(1)Mg10Zn2 cuboctahedra, corners with six equivalent Mg(3)Mg6Zn6 cuboctahedra, corners with six equivalent Mg(2)Mg8Zn4 cuboctahedra, edges with three equivalent Mg(3)Mg6Zn6 cuboctahedra, edges with three equivalent Mg(2)Mg8Zn4 cuboctahedra, edges with four equivalent Mg(4)Mg8Zn4 cuboctahedra, edges with eight equivalent Zn(2)Mg8Zn4 cuboctahedra, faces with two equivalent Mg(3)Mg6Zn6 cuboctahedra, faces with two equivalent Mg(2)Mg8Zn4 cuboctahedra, faces with two equivalent Zn(2)Mg8Zn4 cuboctahedra, faces with four equivalent Mg(1)Mg10Zn2 cuboctahedra, faces with four equivalent Mg(4)Mg8Zn4 cuboctahedra, and faces with six equivalent Zn(1)Mg8Zn4 cuboctahedra. In the second Mg site, Mg(2) is bonded to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), and four equivalent Zn(2) atoms to form distorted MgMg8Zn4 cuboctahedra that share corners with six equivalent Mg(1)Mg10Zn2 cuboctahedra, corners with six equivalent Mg(3)Mg6Zn6 cuboctahedra, corners with six equivalent Mg(2)Mg8Zn4 cuboctahedra, edges with three equivalent Mg(1)Mg10Zn2 cuboctahedra, edges with three equivalent Mg(3)Mg6Zn6 cuboctahedra, edges with four equivalent Zn(2)Mg8Zn4 cuboctahedra, edges with eight equivalent Zn(1)Mg8Zn4 cuboctahedra, faces with two equivalent Mg(1)Mg10Zn2 cuboctahedra, faces with two equivalent Mg(3)Mg6Zn6 cuboctahedra, faces with two equivalent Zn(1)Mg8Zn4 cuboctahedra, faces with four equivalent Mg(2)Mg8Zn4 cuboctahedra, faces with four equivalent Zn(2)Mg8Zn4 cuboctahedra, and faces with six equivalent Mg(4)Mg8Zn4 cuboctahedra. In the third Mg site, Mg(3) is bonded to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Zn(2), and four equivalent Zn(1) atoms to form distorted MgMg6Zn6 cuboctahedra that share corners with six equivalent Mg(1)Mg10Zn2 cuboctahedra, corners with six equivalent Mg(3)Mg6Zn6 cuboctahedra, corners with six equivalent Mg(2)Mg8Zn4 cuboctahedra, edges with three equivalent Mg(1)Mg10Zn2 cuboctahedra, edges with three equivalent Mg(2)Mg8Zn4 cuboctahedra, edges with four equivalent Zn(1)Mg8Zn4 cuboctahedra, edges with eight equivalent Mg(4)Mg8Zn4 cuboctahedra, faces with two equivalent Mg(1)Mg10Zn2 cuboctahedra, faces with two equivalent Mg(2)Mg8Zn4 cuboctahedra, faces with two equivalent Mg(4)Mg8Zn4 cuboctahedra, faces with four equivalent Mg(3)Mg6Zn6 cuboctahedra, faces with four equivalent Zn(1)Mg8Zn4 cuboctahedra, and faces with six equivalent Zn(2)Mg8Zn4 cuboctahedra. In the fourth Mg site, Mg(4) is bonded to two equivalent Mg(2), two equivalent Mg(4), four equivalent Mg(1), two equivalent Zn(1), and two equivalent Zn(2) atoms to form MgMg8Zn4 cuboctahedra that share corners with six equivalent Mg(4)Mg8Zn4 cuboctahedra, corners with six equivalent Zn(1)Mg8Zn4 cuboctahedra, corners with six equivalent Zn(2)Mg8Zn4 cuboctahedra, edges with three equivalent Zn(1)Mg8Zn4 cuboctahedra, edges with three equivalent Zn(2)Mg8Zn4 cuboctahedra, edges with four equivalent Mg(1)Mg10Zn2 cuboctahedra, edges with eight equivalent Mg(3)Mg6Zn6 cuboctahedra, faces with two equivalent Mg(3)Mg6Zn6 cuboctahedra, faces with two equivalent Zn(1)Mg8Zn4 cuboctahedra, faces with two equivalent Zn(2)Mg8Zn4 cuboctahedra, faces with four equivalent Mg(1)Mg10Zn2 cuboctahedra, faces with four equivalent Mg(4)Mg8Zn4 cuboctahedra, and faces with six equivalent Mg(2)Mg8Zn4 cuboctahedra. There are two inequivalent Zn sites. In the first Zn site, Zn(1) is bonded to two equivalent Mg(1), two equivalent Mg(4), four equivalent Mg(3), two equivalent Zn(1), and two equivalent Zn(2) atoms to form distorted ZnMg8Zn4 cuboctahedra that share corners with six equivalent Mg(4)Mg8Zn4 cuboctahedra, corners with six equivalent Zn(1)Mg8Zn4 cuboctahedra, corners with six equivalent Zn(2)Mg8Zn4 cuboctahedra, edges with three equivalent Mg(4)Mg8Zn4 cuboctahedra, edges with three equivalent Zn(2)Mg8Zn4 cuboctahedra, edges with four equivalent Mg(3)Mg6Zn6 cuboctahedra, edges with eight equivalent Mg(2)Mg8Zn4 cuboctahedra, faces with two equivalent Mg(2)Mg8Zn4 cuboctahedra, faces with two equivalent Mg(4)Mg8Zn4 cuboctahedra, faces with two equivalent Zn(2)Mg8Zn4 cuboctahedra, faces with four equivalent Mg(3)Mg6Zn6 cuboctahedra, faces with four equivalent Zn(1)Mg8Zn4 cuboctahedra, and faces with six equivalent Mg(1)Mg10Zn2 cuboctahedra. In the second Zn site, Zn(2) is bonded to two equivalent Mg(3), two equivalent Mg(4), four equivalent Mg(2), two equivalent Zn(1), and two equivalent Zn(2) atoms to form distorted ZnMg8Zn4 cuboctahedra that share corners with six equivalent Mg(4)Mg8Zn4 cuboctahedra, corners with six equivalent Zn(1)Mg8Zn4 cuboctahedra, corners with six equivalent Zn(2)Mg8Zn4 cuboctahedra, edges with three equivalent Mg(4)Mg8Zn4 cuboctahedra, edges with three equivalent Zn(1)Mg8Zn4 cuboctahedra, edges with four equivalent Mg(2)Mg8Zn4 cuboctahedra, edges with eight equivalent Mg(1)Mg10Zn2 cuboctahedra, faces with two equivalent Mg(1)Mg10Zn2 cuboctahedra, faces with two equivalent Mg(4)Mg8Zn4 cuboctahedra, faces with two equivalent Zn(1)Mg8Zn4 cuboctahedra, faces with four equivalent Mg(2)Mg8Zn4 cuboctahedra, faces with four equivalent Zn(2)Mg8Zn4 cuboctahedra, and faces with six equivalent Mg(3)Mg6Zn6 cuboctahedra. is represented by the CIF card [CIF]
data_Mg2Zn
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.076
_cell_length_b   8.076
_cell_length_c   4.856
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   157.906
_symmetry_Int_Tables_number   1
_cell_volume   119.131
_cell_formula_units_Z   2
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  0.003  0.997  0.000  1.0
  Mg  Mg1  1  0.331  0.669  0.000  1.0
  Mg  Mg2  1  0.666  0.334  0.000  1.0
  Mg  Mg3  1  0.445  0.555  0.500  1.0
  Zn  Zn4  1  0.113  0.887  0.500  1.0
  Zn  Zn5  1  0.776  0.224  0.500  1.0
[/CIF]
.