The structure described by MgZn2 crystallizes in the monoclinic Cm space group. There are two inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to one Zn(3), two equivalent Zn(1), two equivalent Zn(4), and three equivalent Zn(2) atoms to form distorted MgZn8 cuboctahedra that share corners with four equivalent Mg(1)Zn8 cuboctahedra, corners with six equivalent Mg(2)Zn8 cuboctahedra, corners with six equivalent Zn(4)Mg4Zn8 cuboctahedra, edges with three equivalent Mg(2)Zn8 cuboctahedra,  a faceface with one Mg(2)Zn8 cuboctahedra, faces with two equivalent Mg(1)Zn8 cuboctahedra, and faces with three equivalent Zn(4)Mg4Zn8 cuboctahedra. In the second Mg site, Mg(2) is bonded to one Zn(1), two equivalent Zn(2), two equivalent Zn(4), and three equivalent Zn(3) atoms to form distorted MgZn8 cuboctahedra that share corners with four equivalent Mg(2)Zn8 cuboctahedra, corners with six equivalent Mg(1)Zn8 cuboctahedra, corners with six equivalent Zn(4)Mg4Zn8 cuboctahedra, edges with three equivalent Mg(1)Zn8 cuboctahedra,  a faceface with one Mg(1)Zn8 cuboctahedra, faces with two equivalent Mg(2)Zn8 cuboctahedra, and faces with three equivalent Zn(4)Mg4Zn8 cuboctahedra. There are four inequivalent Zn sites. In the first Zn site, Zn(1) is bonded in a 3-coordinate geometry to one Mg(2), two equivalent Mg(1), two equivalent Zn(2), two equivalent Zn(3), and three equivalent Zn(4) atoms. In the second Zn site, Zn(2) is bonded in a 12-coordinate geometry to two equivalent Mg(2), three equivalent Mg(1), one Zn(4), two equivalent Zn(1), two equivalent Zn(2), and two equivalent Zn(3) atoms. In the third Zn site, Zn(3) is bonded in a 12-coordinate geometry to one Mg(1), three equivalent Mg(2), two equivalent Zn(1), two equivalent Zn(2), two equivalent Zn(3), and two equivalent Zn(4) atoms. In the fourth Zn site, Zn(4) is bonded to two equivalent Mg(1), two equivalent Mg(2), one Zn(2), two equivalent Zn(3), two equivalent Zn(4), and three equivalent Zn(1) atoms to form distorted ZnMg4Zn8 cuboctahedra that share corners with six equivalent Mg(1)Zn8 cuboctahedra, corners with six equivalent Mg(2)Zn8 cuboctahedra, corners with six equivalent Zn(4)Mg4Zn8 cuboctahedra, faces with two equivalent Zn(4)Mg4Zn8 cuboctahedra, faces with three equivalent Mg(1)Zn8 cuboctahedra, and faces with three equivalent Mg(2)Zn8 cuboctahedra. is represented by the CIF card [CIF]
data_MgZn2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.393
_cell_length_b   5.393
_cell_length_c   6.750
_cell_angle_alpha   78.805
_cell_angle_beta   78.805
_cell_angle_gamma   32.761
_symmetry_Int_Tables_number   1
_cell_volume   104.028
_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  0.618  0.618  0.267  1.0
  Mg  Mg1  1  0.940  0.940  0.618  1.0
  Zn  Zn2  1  0.996  0.996  0.001  1.0
  Zn  Zn3  1  0.336  0.336  0.329  1.0
  Zn  Zn4  1  0.666  0.666  0.672  1.0
  Zn  Zn5  1  0.277  0.277  0.946  1.0
[/CIF]
.
The structure described by MgZn2 crystallizes in the monoclinic Cm space group. There are two inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to one Zn(3), two equivalent Zn(1), two equivalent Zn(4), and three equivalent Zn(2) atoms to form distorted MgZn8 cuboctahedra that share corners with four equivalent Mg(1)Zn8 cuboctahedra, corners with six equivalent Mg(2)Zn8 cuboctahedra, corners with six equivalent Zn(4)Mg4Zn8 cuboctahedra, edges with three equivalent Mg(2)Zn8 cuboctahedra,  a faceface with one Mg(2)Zn8 cuboctahedra, faces with two equivalent Mg(1)Zn8 cuboctahedra, and faces with three equivalent Zn(4)Mg4Zn8 cuboctahedra. In the second Mg site, Mg(2) is bonded to one Zn(1), two equivalent Zn(2), two equivalent Zn(4), and three equivalent Zn(3) atoms to form distorted MgZn8 cuboctahedra that share corners with four equivalent Mg(2)Zn8 cuboctahedra, corners with six equivalent Mg(1)Zn8 cuboctahedra, corners with six equivalent Zn(4)Mg4Zn8 cuboctahedra, edges with three equivalent Mg(1)Zn8 cuboctahedra,  a faceface with one Mg(1)Zn8 cuboctahedra, faces with two equivalent Mg(2)Zn8 cuboctahedra, and faces with three equivalent Zn(4)Mg4Zn8 cuboctahedra. There are four inequivalent Zn sites. In the first Zn site, Zn(1) is bonded in a 3-coordinate geometry to one Mg(2), two equivalent Mg(1), two equivalent Zn(2), two equivalent Zn(3), and three equivalent Zn(4) atoms. In the second Zn site, Zn(2) is bonded in a 12-coordinate geometry to two equivalent Mg(2), three equivalent Mg(1), one Zn(4), two equivalent Zn(1), two equivalent Zn(2), and two equivalent Zn(3) atoms. In the third Zn site, Zn(3) is bonded in a 12-coordinate geometry to one Mg(1), three equivalent Mg(2), two equivalent Zn(1), two equivalent Zn(2), two equivalent Zn(3), and two equivalent Zn(4) atoms. In the fourth Zn site, Zn(4) is bonded to two equivalent Mg(1), two equivalent Mg(2), one Zn(2), two equivalent Zn(3), two equivalent Zn(4), and three equivalent Zn(1) atoms to form distorted ZnMg4Zn8 cuboctahedra that share corners with six equivalent Mg(1)Zn8 cuboctahedra, corners with six equivalent Mg(2)Zn8 cuboctahedra, corners with six equivalent Zn(4)Mg4Zn8 cuboctahedra, faces with two equivalent Zn(4)Mg4Zn8 cuboctahedra, faces with three equivalent Mg(1)Zn8 cuboctahedra, and faces with three equivalent Mg(2)Zn8 cuboctahedra. is represented by the CIF card [CIF]
data_MgZn2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.393
_cell_length_b   5.393
_cell_length_c   6.750
_cell_angle_alpha   78.805
_cell_angle_beta   78.805
_cell_angle_gamma   32.761
_symmetry_Int_Tables_number   1
_cell_volume   104.028
_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  0.618  0.618  0.267  1.0
  Mg  Mg1  1  0.940  0.940  0.618  1.0
  Zn  Zn2  1  0.996  0.996  0.001  1.0
  Zn  Zn3  1  0.336  0.336  0.329  1.0
  Zn  Zn4  1  0.666  0.666  0.672  1.0
  Zn  Zn5  1  0.277  0.277  0.946  1.0
[/CIF]
.