The crystal structure described by MgZn5 crystallizes in the orthorhombic Amm2 space group. Mg(1) is bonded to two equivalent Mg(1), two equivalent Zn(3), two equivalent Zn(4), two equivalent Zn(5), and four equivalent Zn(2) atoms to form distorted MgMg2Zn10 cuboctahedra that share corners with six equivalent Mg(1)Mg2Zn10 cuboctahedra, corners with six equivalent Zn(4)Mg2Zn10 cuboctahedra, corners with six equivalent Zn(5)Mg2Zn10 cuboctahedra, edges with three equivalent Zn(4)Mg2Zn10 cuboctahedra, edges with three equivalent Zn(5)Mg2Zn10 cuboctahedra, edges with four equivalent Zn(2)Mg4Zn8 cuboctahedra, edges with eight equivalent Zn(1)Zn12 cuboctahedra, faces with two equivalent Zn(4)Mg2Zn10 cuboctahedra, faces with two equivalent Zn(5)Mg2Zn10 cuboctahedra, faces with two equivalent Zn(1)Zn12 cuboctahedra, faces with four equivalent Mg(1)Mg2Zn10 cuboctahedra, faces with four equivalent Zn(2)Mg4Zn8 cuboctahedra, and faces with six equivalent Zn(3)Mg2Zn10 cuboctahedra. There are five inequivalent Zn sites. In the first Zn site, Zn(1) is bonded to two equivalent Zn(1), two equivalent Zn(2), two equivalent Zn(3), two equivalent Zn(4), and four equivalent Zn(5) atoms to form ZnZn12 cuboctahedra that share corners with six equivalent Zn(3)Mg2Zn10 cuboctahedra, corners with six equivalent Zn(2)Mg4Zn8 cuboctahedra, corners with six equivalent Zn(1)Zn12 cuboctahedra, edges with three equivalent Zn(3)Mg2Zn10 cuboctahedra, edges with three equivalent Zn(2)Mg4Zn8 cuboctahedra, edges with four equivalent Zn(5)Mg2Zn10 cuboctahedra, edges with eight equivalent Mg(1)Mg2Zn10 cuboctahedra, faces with two equivalent Mg(1)Mg2Zn10 cuboctahedra, faces with two equivalent Zn(3)Mg2Zn10 cuboctahedra, faces with two equivalent Zn(2)Mg4Zn8 cuboctahedra, faces with four equivalent Zn(5)Mg2Zn10 cuboctahedra, faces with four equivalent Zn(1)Zn12 cuboctahedra, and faces with six equivalent Zn(4)Mg2Zn10 cuboctahedra. In the second Zn site, Zn(2) is bonded to four equivalent Mg(1), two equivalent Zn(1), two equivalent Zn(2), two equivalent Zn(3), and two equivalent Zn(5) atoms to form distorted ZnMg4Zn8 cuboctahedra that share corners with six equivalent Zn(3)Mg2Zn10 cuboctahedra, corners with six equivalent Zn(2)Mg4Zn8 cuboctahedra, corners with six equivalent Zn(1)Zn12 cuboctahedra, edges with three equivalent Zn(3)Mg2Zn10 cuboctahedra, edges with three equivalent Zn(1)Zn12 cuboctahedra, edges with four equivalent Mg(1)Mg2Zn10 cuboctahedra, edges with eight equivalent Zn(4)Mg2Zn10 cuboctahedra, faces with two equivalent Zn(3)Mg2Zn10 cuboctahedra, faces with two equivalent Zn(4)Mg2Zn10 cuboctahedra, faces with two equivalent Zn(1)Zn12 cuboctahedra, faces with four equivalent Mg(1)Mg2Zn10 cuboctahedra, faces with four equivalent Zn(2)Mg4Zn8 cuboctahedra, and faces with six equivalent Zn(5)Mg2Zn10 cuboctahedra. In the third Zn site, Zn(3) is bonded to two equivalent Mg(1), two equivalent Zn(1), two equivalent Zn(2), two equivalent Zn(3), and four equivalent Zn(4) atoms to form distorted ZnMg2Zn10 cuboctahedra that share corners with six equivalent Zn(3)Mg2Zn10 cuboctahedra, corners with six equivalent Zn(2)Mg4Zn8 cuboctahedra, corners with six equivalent Zn(1)Zn12 cuboctahedra, edges with three equivalent Zn(2)Mg4Zn8 cuboctahedra, edges with three equivalent Zn(1)Zn12 cuboctahedra, edges with four equivalent Zn(4)Mg2Zn10 cuboctahedra, edges with eight equivalent Zn(5)Mg2Zn10 cuboctahedra, faces with two equivalent Zn(5)Mg2Zn10 cuboctahedra, faces with two equivalent Zn(2)Mg4Zn8 cuboctahedra, faces with two equivalent Zn(1)Zn12 cuboctahedra, faces with four equivalent Zn(3)Mg2Zn10 cuboctahedra, faces with four equivalent Zn(4)Mg2Zn10 cuboctahedra, and faces with six equivalent Mg(1)Mg2Zn10 cuboctahedra. In the fourth Zn site, Zn(4) is bonded to two equivalent Mg(1), two equivalent Zn(1), two equivalent Zn(4), two equivalent Zn(5), and four equivalent Zn(3) atoms to form ZnMg2Zn10 cuboctahedra that share corners with six equivalent Mg(1)Mg2Zn10 cuboctahedra, corners with six equivalent Zn(4)Mg2Zn10 cuboctahedra, corners with six equivalent Zn(5)Mg2Zn10 cuboctahedra, edges with three equivalent Mg(1)Mg2Zn10 cuboctahedra, edges with three equivalent Zn(5)Mg2Zn10 cuboctahedra, edges with four equivalent Zn(3)Mg2Zn10 cuboctahedra, edges with eight equivalent Zn(2)Mg4Zn8 cuboctahedra, faces with two equivalent Mg(1)Mg2Zn10 cuboctahedra, faces with two equivalent Zn(5)Mg2Zn10 cuboctahedra, faces with two equivalent Zn(2)Mg4Zn8 cuboctahedra, faces with four equivalent Zn(3)Mg2Zn10 cuboctahedra, faces with four equivalent Zn(4)Mg2Zn10 cuboctahedra, and faces with six equivalent Zn(1)Zn12 cuboctahedra. In the fifth Zn site, Zn(5) is bonded to two equivalent Mg(1), two equivalent Zn(2), two equivalent Zn(4), two equivalent Zn(5), and four equivalent Zn(1) atoms to form distorted ZnMg2Zn10 cuboctahedra that share corners with six equivalent Mg(1)Mg2Zn10 cuboctahedra, corners with six equivalent Zn(4)Mg2Zn10 cuboctahedra, corners with six equivalent Zn(5)Mg2Zn10 cuboctahedra, edges with three equivalent Mg(1)Mg2Zn10 cuboctahedra, edges with three equivalent Zn(4)Mg2Zn10 cuboctahedra, edges with four equivalent Zn(1)Zn12 cuboctahedra, edges with eight equivalent Zn(3)Mg2Zn10 cuboctahedra, faces with two equivalent Mg(1)Mg2Zn10 cuboctahedra, faces with two equivalent Zn(3)Mg2Zn10 cuboctahedra, faces with two equivalent Zn(4)Mg2Zn10 cuboctahedra, faces with four equivalent Zn(5)Mg2Zn10 cuboctahedra, faces with four equivalent Zn(1)Zn12 cuboctahedra, and faces with six equivalent Zn(2)Mg4Zn8 cuboctahedra. is represented by the CIF file [CIF]
data_MgZn5
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   7.314
_cell_length_b   7.314
_cell_length_c   4.486
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   157.712
_symmetry_Int_Tables_number   1
_cell_volume   91.032
_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  0.778  0.222  0.500  1.0
  Zn  Zn1  1  0.000  1.000  0.000  1.0
  Zn  Zn2  1  0.338  0.662  0.000  1.0
  Zn  Zn3  1  0.664  0.336  0.000  1.0
  Zn  Zn4  1  0.106  0.894  0.500  1.0
  Zn  Zn5  1  0.447  0.553  0.500  1.0
[/CIF]
.
The crystal structure described by MgZn5 crystallizes in the orthorhombic Amm2 space group. Mg(1) is bonded to two equivalent Mg(1), two equivalent Zn(3), two equivalent Zn(4), two equivalent Zn(5), and four equivalent Zn(2) atoms to form distorted MgMg2Zn10 cuboctahedra that share corners with six equivalent Mg(1)Mg2Zn10 cuboctahedra, corners with six equivalent Zn(4)Mg2Zn10 cuboctahedra, corners with six equivalent Zn(5)Mg2Zn10 cuboctahedra, edges with three equivalent Zn(4)Mg2Zn10 cuboctahedra, edges with three equivalent Zn(5)Mg2Zn10 cuboctahedra, edges with four equivalent Zn(2)Mg4Zn8 cuboctahedra, edges with eight equivalent Zn(1)Zn12 cuboctahedra, faces with two equivalent Zn(4)Mg2Zn10 cuboctahedra, faces with two equivalent Zn(5)Mg2Zn10 cuboctahedra, faces with two equivalent Zn(1)Zn12 cuboctahedra, faces with four equivalent Mg(1)Mg2Zn10 cuboctahedra, faces with four equivalent Zn(2)Mg4Zn8 cuboctahedra, and faces with six equivalent Zn(3)Mg2Zn10 cuboctahedra. There are five inequivalent Zn sites. In the first Zn site, Zn(1) is bonded to two equivalent Zn(1), two equivalent Zn(2), two equivalent Zn(3), two equivalent Zn(4), and four equivalent Zn(5) atoms to form ZnZn12 cuboctahedra that share corners with six equivalent Zn(3)Mg2Zn10 cuboctahedra, corners with six equivalent Zn(2)Mg4Zn8 cuboctahedra, corners with six equivalent Zn(1)Zn12 cuboctahedra, edges with three equivalent Zn(3)Mg2Zn10 cuboctahedra, edges with three equivalent Zn(2)Mg4Zn8 cuboctahedra, edges with four equivalent Zn(5)Mg2Zn10 cuboctahedra, edges with eight equivalent Mg(1)Mg2Zn10 cuboctahedra, faces with two equivalent Mg(1)Mg2Zn10 cuboctahedra, faces with two equivalent Zn(3)Mg2Zn10 cuboctahedra, faces with two equivalent Zn(2)Mg4Zn8 cuboctahedra, faces with four equivalent Zn(5)Mg2Zn10 cuboctahedra, faces with four equivalent Zn(1)Zn12 cuboctahedra, and faces with six equivalent Zn(4)Mg2Zn10 cuboctahedra. In the second Zn site, Zn(2) is bonded to four equivalent Mg(1), two equivalent Zn(1), two equivalent Zn(2), two equivalent Zn(3), and two equivalent Zn(5) atoms to form distorted ZnMg4Zn8 cuboctahedra that share corners with six equivalent Zn(3)Mg2Zn10 cuboctahedra, corners with six equivalent Zn(2)Mg4Zn8 cuboctahedra, corners with six equivalent Zn(1)Zn12 cuboctahedra, edges with three equivalent Zn(3)Mg2Zn10 cuboctahedra, edges with three equivalent Zn(1)Zn12 cuboctahedra, edges with four equivalent Mg(1)Mg2Zn10 cuboctahedra, edges with eight equivalent Zn(4)Mg2Zn10 cuboctahedra, faces with two equivalent Zn(3)Mg2Zn10 cuboctahedra, faces with two equivalent Zn(4)Mg2Zn10 cuboctahedra, faces with two equivalent Zn(1)Zn12 cuboctahedra, faces with four equivalent Mg(1)Mg2Zn10 cuboctahedra, faces with four equivalent Zn(2)Mg4Zn8 cuboctahedra, and faces with six equivalent Zn(5)Mg2Zn10 cuboctahedra. In the third Zn site, Zn(3) is bonded to two equivalent Mg(1), two equivalent Zn(1), two equivalent Zn(2), two equivalent Zn(3), and four equivalent Zn(4) atoms to form distorted ZnMg2Zn10 cuboctahedra that share corners with six equivalent Zn(3)Mg2Zn10 cuboctahedra, corners with six equivalent Zn(2)Mg4Zn8 cuboctahedra, corners with six equivalent Zn(1)Zn12 cuboctahedra, edges with three equivalent Zn(2)Mg4Zn8 cuboctahedra, edges with three equivalent Zn(1)Zn12 cuboctahedra, edges with four equivalent Zn(4)Mg2Zn10 cuboctahedra, edges with eight equivalent Zn(5)Mg2Zn10 cuboctahedra, faces with two equivalent Zn(5)Mg2Zn10 cuboctahedra, faces with two equivalent Zn(2)Mg4Zn8 cuboctahedra, faces with two equivalent Zn(1)Zn12 cuboctahedra, faces with four equivalent Zn(3)Mg2Zn10 cuboctahedra, faces with four equivalent Zn(4)Mg2Zn10 cuboctahedra, and faces with six equivalent Mg(1)Mg2Zn10 cuboctahedra. In the fourth Zn site, Zn(4) is bonded to two equivalent Mg(1), two equivalent Zn(1), two equivalent Zn(4), two equivalent Zn(5), and four equivalent Zn(3) atoms to form ZnMg2Zn10 cuboctahedra that share corners with six equivalent Mg(1)Mg2Zn10 cuboctahedra, corners with six equivalent Zn(4)Mg2Zn10 cuboctahedra, corners with six equivalent Zn(5)Mg2Zn10 cuboctahedra, edges with three equivalent Mg(1)Mg2Zn10 cuboctahedra, edges with three equivalent Zn(5)Mg2Zn10 cuboctahedra, edges with four equivalent Zn(3)Mg2Zn10 cuboctahedra, edges with eight equivalent Zn(2)Mg4Zn8 cuboctahedra, faces with two equivalent Mg(1)Mg2Zn10 cuboctahedra, faces with two equivalent Zn(5)Mg2Zn10 cuboctahedra, faces with two equivalent Zn(2)Mg4Zn8 cuboctahedra, faces with four equivalent Zn(3)Mg2Zn10 cuboctahedra, faces with four equivalent Zn(4)Mg2Zn10 cuboctahedra, and faces with six equivalent Zn(1)Zn12 cuboctahedra. In the fifth Zn site, Zn(5) is bonded to two equivalent Mg(1), two equivalent Zn(2), two equivalent Zn(4), two equivalent Zn(5), and four equivalent Zn(1) atoms to form distorted ZnMg2Zn10 cuboctahedra that share corners with six equivalent Mg(1)Mg2Zn10 cuboctahedra, corners with six equivalent Zn(4)Mg2Zn10 cuboctahedra, corners with six equivalent Zn(5)Mg2Zn10 cuboctahedra, edges with three equivalent Mg(1)Mg2Zn10 cuboctahedra, edges with three equivalent Zn(4)Mg2Zn10 cuboctahedra, edges with four equivalent Zn(1)Zn12 cuboctahedra, edges with eight equivalent Zn(3)Mg2Zn10 cuboctahedra, faces with two equivalent Mg(1)Mg2Zn10 cuboctahedra, faces with two equivalent Zn(3)Mg2Zn10 cuboctahedra, faces with two equivalent Zn(4)Mg2Zn10 cuboctahedra, faces with four equivalent Zn(5)Mg2Zn10 cuboctahedra, faces with four equivalent Zn(1)Zn12 cuboctahedra, and faces with six equivalent Zn(2)Mg4Zn8 cuboctahedra. is represented by the CIF file [CIF]
data_MgZn5
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   7.314
_cell_length_b   7.314
_cell_length_c   4.486
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   157.712
_symmetry_Int_Tables_number   1
_cell_volume   91.032
_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  0.778  0.222  0.500  1.0
  Zn  Zn1  1  0.000  1.000  0.000  1.0
  Zn  Zn2  1  0.338  0.662  0.000  1.0
  Zn  Zn3  1  0.664  0.336  0.000  1.0
  Zn  Zn4  1  0.106  0.894  0.500  1.0
  Zn  Zn5  1  0.447  0.553  0.500  1.0
[/CIF]
.