The material described by Mg5Zn crystallizes in the monoclinic Cm space group. There are five inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Mg(2), two equivalent Mg(4), three equivalent Mg(5), and two equivalent Zn(1) atoms to form distorted MgMg7Zn2 cuboctahedra that share corners with two equivalent Mg(5)Mg10Zn2 cuboctahedra, corners with four equivalent Mg(1)Mg7Zn2 cuboctahedra, corners with six equivalent Mg(2)Mg9Zn3 cuboctahedra, corners with eight equivalent Mg(4)Mg11Zn cuboctahedra,  an edgeedge with one Mg(2)Mg9Zn3 cuboctahedra, edges with two equivalent Mg(5)Mg10Zn2 cuboctahedra, edges with four equivalent Mg(4)Mg11Zn cuboctahedra, edges with six equivalent Mg(3)Mg7Zn2 cuboctahedra, faces with two equivalent Mg(1)Mg7Zn2 cuboctahedra, faces with two equivalent Mg(3)Mg7Zn2 cuboctahedra, faces with three equivalent Mg(5)Mg10Zn2 cuboctahedra, and faces with three equivalent Mg(2)Mg9Zn3 cuboctahedra. In the second Mg site, Mg(2) is bonded to one Mg(5), two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), and three equivalent Zn(1) atoms to form distorted MgMg9Zn3 cuboctahedra that share corners with four equivalent Mg(3)Mg7Zn2 cuboctahedra, corners with six equivalent Mg(4)Mg11Zn cuboctahedra, corners with six equivalent Mg(1)Mg7Zn2 cuboctahedra, corners with six equivalent Mg(2)Mg9Zn3 cuboctahedra,  an edgeedge with one Mg(1)Mg7Zn2 cuboctahedra, edges with two equivalent Mg(3)Mg7Zn2 cuboctahedra, edges with three equivalent Mg(4)Mg11Zn cuboctahedra, edges with four equivalent Mg(5)Mg10Zn2 cuboctahedra, faces with two equivalent Mg(2)Mg9Zn3 cuboctahedra, faces with three equivalent Mg(4)Mg11Zn cuboctahedra, faces with three equivalent Mg(1)Mg7Zn2 cuboctahedra, faces with three equivalent Mg(3)Mg7Zn2 cuboctahedra, and faces with four equivalent Mg(5)Mg10Zn2 cuboctahedra. In the third Mg site, Mg(3) is bonded to two equivalent Mg(2), two equivalent Mg(5), three equivalent Mg(4), and two equivalent Zn(1) atoms to form distorted MgMg7Zn2 cuboctahedra that share corners with two equivalent Mg(4)Mg11Zn cuboctahedra, corners with four equivalent Mg(3)Mg7Zn2 cuboctahedra, corners with four equivalent Mg(2)Mg9Zn3 cuboctahedra, corners with eight equivalent Mg(5)Mg10Zn2 cuboctahedra, edges with two equivalent Mg(4)Mg11Zn cuboctahedra, edges with two equivalent Mg(2)Mg9Zn3 cuboctahedra, edges with four equivalent Mg(5)Mg10Zn2 cuboctahedra, edges with six equivalent Mg(1)Mg7Zn2 cuboctahedra, faces with two equivalent Mg(1)Mg7Zn2 cuboctahedra, faces with two equivalent Mg(3)Mg7Zn2 cuboctahedra, faces with three equivalent Mg(4)Mg11Zn cuboctahedra, and faces with three equivalent Mg(2)Mg9Zn3 cuboctahedra. In the fourth Mg site, Mg(4) is bonded to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(4), two equivalent Mg(5), three equivalent Mg(3), and one Zn(1) atom to form distorted MgMg11Zn cuboctahedra that share corners with two equivalent Mg(3)Mg7Zn2 cuboctahedra, corners with six equivalent Mg(4)Mg11Zn cuboctahedra, corners with six equivalent Mg(2)Mg9Zn3 cuboctahedra, corners with eight equivalent Mg(1)Mg7Zn2 cuboctahedra, edges with two equivalent Mg(3)Mg7Zn2 cuboctahedra, edges with three equivalent Mg(2)Mg9Zn3 cuboctahedra, edges with four equivalent Mg(1)Mg7Zn2 cuboctahedra, edges with six equivalent Mg(5)Mg10Zn2 cuboctahedra, faces with two equivalent Mg(4)Mg11Zn cuboctahedra, faces with three equivalent Mg(5)Mg10Zn2 cuboctahedra, faces with three equivalent Mg(3)Mg7Zn2 cuboctahedra, and faces with three equivalent Mg(2)Mg9Zn3 cuboctahedra. In the fifth Mg site, Mg(5) is bonded to one Mg(2), two equivalent Mg(3), two equivalent Mg(4), two equivalent Mg(5), three equivalent Mg(1), and two equivalent Zn(1) atoms to form distorted MgMg10Zn2 cuboctahedra that share corners with two equivalent Mg(1)Mg7Zn2 cuboctahedra, corners with six equivalent Mg(5)Mg10Zn2 cuboctahedra, corners with eight equivalent Mg(3)Mg7Zn2 cuboctahedra, edges with two equivalent Mg(1)Mg7Zn2 cuboctahedra, edges with four equivalent Mg(3)Mg7Zn2 cuboctahedra, edges with four equivalent Mg(2)Mg9Zn3 cuboctahedra, edges with six equivalent Mg(4)Mg11Zn cuboctahedra, faces with two equivalent Mg(5)Mg10Zn2 cuboctahedra, faces with three equivalent Mg(4)Mg11Zn cuboctahedra, faces with three equivalent Mg(1)Mg7Zn2 cuboctahedra, and faces with four equivalent Mg(2)Mg9Zn3 cuboctahedra. Zn(1) is bonded in a 12-coordinate geometry to one Mg(4), two equivalent Mg(1), two equivalent Mg(3), two equivalent Mg(5), three equivalent Mg(2), and two equivalent Zn(1) atoms. is represented by the CIF file [CIF]
data_Mg5Zn
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.950
_cell_length_b   5.950
_cell_length_c   7.276
_cell_angle_alpha   74.929
_cell_angle_beta   74.929
_cell_angle_gamma   30.079
_symmetry_Int_Tables_number   1
_cell_volume   124.341
_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
  Mg  Mg0  1  0.005  0.005  0.015  1.0
  Mg  Mg1  1  0.323  0.323  0.332  1.0
  Mg  Mg2  1  0.952  0.952  0.592  1.0
  Mg  Mg3  1  0.667  0.667  0.665  1.0
  Mg  Mg4  1  0.277  0.277  0.951  1.0
  Zn  Zn5  1  0.610  0.610  0.279  1.0
[/CIF]
.
The material described by Mg5Zn crystallizes in the monoclinic Cm space group. There are five inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Mg(2), two equivalent Mg(4), three equivalent Mg(5), and two equivalent Zn(1) atoms to form distorted MgMg7Zn2 cuboctahedra that share corners with two equivalent Mg(5)Mg10Zn2 cuboctahedra, corners with four equivalent Mg(1)Mg7Zn2 cuboctahedra, corners with six equivalent Mg(2)Mg9Zn3 cuboctahedra, corners with eight equivalent Mg(4)Mg11Zn cuboctahedra,  an edgeedge with one Mg(2)Mg9Zn3 cuboctahedra, edges with two equivalent Mg(5)Mg10Zn2 cuboctahedra, edges with four equivalent Mg(4)Mg11Zn cuboctahedra, edges with six equivalent Mg(3)Mg7Zn2 cuboctahedra, faces with two equivalent Mg(1)Mg7Zn2 cuboctahedra, faces with two equivalent Mg(3)Mg7Zn2 cuboctahedra, faces with three equivalent Mg(5)Mg10Zn2 cuboctahedra, and faces with three equivalent Mg(2)Mg9Zn3 cuboctahedra. In the second Mg site, Mg(2) is bonded to one Mg(5), two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), and three equivalent Zn(1) atoms to form distorted MgMg9Zn3 cuboctahedra that share corners with four equivalent Mg(3)Mg7Zn2 cuboctahedra, corners with six equivalent Mg(4)Mg11Zn cuboctahedra, corners with six equivalent Mg(1)Mg7Zn2 cuboctahedra, corners with six equivalent Mg(2)Mg9Zn3 cuboctahedra,  an edgeedge with one Mg(1)Mg7Zn2 cuboctahedra, edges with two equivalent Mg(3)Mg7Zn2 cuboctahedra, edges with three equivalent Mg(4)Mg11Zn cuboctahedra, edges with four equivalent Mg(5)Mg10Zn2 cuboctahedra, faces with two equivalent Mg(2)Mg9Zn3 cuboctahedra, faces with three equivalent Mg(4)Mg11Zn cuboctahedra, faces with three equivalent Mg(1)Mg7Zn2 cuboctahedra, faces with three equivalent Mg(3)Mg7Zn2 cuboctahedra, and faces with four equivalent Mg(5)Mg10Zn2 cuboctahedra. In the third Mg site, Mg(3) is bonded to two equivalent Mg(2), two equivalent Mg(5), three equivalent Mg(4), and two equivalent Zn(1) atoms to form distorted MgMg7Zn2 cuboctahedra that share corners with two equivalent Mg(4)Mg11Zn cuboctahedra, corners with four equivalent Mg(3)Mg7Zn2 cuboctahedra, corners with four equivalent Mg(2)Mg9Zn3 cuboctahedra, corners with eight equivalent Mg(5)Mg10Zn2 cuboctahedra, edges with two equivalent Mg(4)Mg11Zn cuboctahedra, edges with two equivalent Mg(2)Mg9Zn3 cuboctahedra, edges with four equivalent Mg(5)Mg10Zn2 cuboctahedra, edges with six equivalent Mg(1)Mg7Zn2 cuboctahedra, faces with two equivalent Mg(1)Mg7Zn2 cuboctahedra, faces with two equivalent Mg(3)Mg7Zn2 cuboctahedra, faces with three equivalent Mg(4)Mg11Zn cuboctahedra, and faces with three equivalent Mg(2)Mg9Zn3 cuboctahedra. In the fourth Mg site, Mg(4) is bonded to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(4), two equivalent Mg(5), three equivalent Mg(3), and one Zn(1) atom to form distorted MgMg11Zn cuboctahedra that share corners with two equivalent Mg(3)Mg7Zn2 cuboctahedra, corners with six equivalent Mg(4)Mg11Zn cuboctahedra, corners with six equivalent Mg(2)Mg9Zn3 cuboctahedra, corners with eight equivalent Mg(1)Mg7Zn2 cuboctahedra, edges with two equivalent Mg(3)Mg7Zn2 cuboctahedra, edges with three equivalent Mg(2)Mg9Zn3 cuboctahedra, edges with four equivalent Mg(1)Mg7Zn2 cuboctahedra, edges with six equivalent Mg(5)Mg10Zn2 cuboctahedra, faces with two equivalent Mg(4)Mg11Zn cuboctahedra, faces with three equivalent Mg(5)Mg10Zn2 cuboctahedra, faces with three equivalent Mg(3)Mg7Zn2 cuboctahedra, and faces with three equivalent Mg(2)Mg9Zn3 cuboctahedra. In the fifth Mg site, Mg(5) is bonded to one Mg(2), two equivalent Mg(3), two equivalent Mg(4), two equivalent Mg(5), three equivalent Mg(1), and two equivalent Zn(1) atoms to form distorted MgMg10Zn2 cuboctahedra that share corners with two equivalent Mg(1)Mg7Zn2 cuboctahedra, corners with six equivalent Mg(5)Mg10Zn2 cuboctahedra, corners with eight equivalent Mg(3)Mg7Zn2 cuboctahedra, edges with two equivalent Mg(1)Mg7Zn2 cuboctahedra, edges with four equivalent Mg(3)Mg7Zn2 cuboctahedra, edges with four equivalent Mg(2)Mg9Zn3 cuboctahedra, edges with six equivalent Mg(4)Mg11Zn cuboctahedra, faces with two equivalent Mg(5)Mg10Zn2 cuboctahedra, faces with three equivalent Mg(4)Mg11Zn cuboctahedra, faces with three equivalent Mg(1)Mg7Zn2 cuboctahedra, and faces with four equivalent Mg(2)Mg9Zn3 cuboctahedra. Zn(1) is bonded in a 12-coordinate geometry to one Mg(4), two equivalent Mg(1), two equivalent Mg(3), two equivalent Mg(5), three equivalent Mg(2), and two equivalent Zn(1) atoms. is represented by the CIF file [CIF]
data_Mg5Zn
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.950
_cell_length_b   5.950
_cell_length_c   7.276
_cell_angle_alpha   74.929
_cell_angle_beta   74.929
_cell_angle_gamma   30.079
_symmetry_Int_Tables_number   1
_cell_volume   124.341
_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
  Mg  Mg0  1  0.005  0.005  0.015  1.0
  Mg  Mg1  1  0.323  0.323  0.332  1.0
  Mg  Mg2  1  0.952  0.952  0.592  1.0
  Mg  Mg3  1  0.667  0.667  0.665  1.0
  Mg  Mg4  1  0.277  0.277  0.951  1.0
  Zn  Zn5  1  0.610  0.610  0.279  1.0
[/CIF]
.