The material described by Mg6CuZn is beta Cu3Ti-derived structured and crystallizes in the orthorhombic Amm2 space group. There are eight 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), two equivalent Mg(4), two equivalent Cu(1), and two equivalent Zn(1) atoms to form distorted MgMg8Zn2Cu2 cuboctahedra that share corners with four equivalent Mg(2)Mg10Zn2 cuboctahedra; corners with four equivalent Zn(1)Mg10Cu2 cuboctahedra; corners with ten Mg(1,1)Mg8Zn2Cu2 cuboctahedra; edges with two equivalent Mg(2)Mg10Zn2 cuboctahedra; edges with two equivalent Mg(1)Mg8Zn2Cu2 cuboctahedra; edges with two equivalent Zn(1)Mg10Cu2 cuboctahedra; edges with four equivalent Mg(4)Mg10Cu2 cuboctahedra; edges with four equivalent Mg(3)Mg8Zn2Cu2 cuboctahedra; edges with four equivalent Cu(1)Mg10Zn2 cuboctahedra; faces with two equivalent Mg(4)Mg10Cu2 cuboctahedra; faces with two equivalent Mg(2)Mg10Zn2 cuboctahedra; faces with two equivalent Cu(1)Mg10Zn2 cuboctahedra; faces with two equivalent Zn(1)Mg10Cu2 cuboctahedra; faces with four equivalent Mg(1)Mg8Zn2Cu2 cuboctahedra; and faces with eight Mg(3,3,3)Mg8Zn2Cu2 cuboctahedra. In the second Mg site, Mg(2) is bonded to two equivalent Mg(4); four Mg(1,1,1); four Mg(3,3); and two equivalent Zn(1) atoms to form distorted MgMg10Zn2 cuboctahedra that share corners with four equivalent Zn(1)Mg10Cu2 cuboctahedra; corners with six equivalent Mg(2)Mg10Zn2 cuboctahedra; corners with eight Mg(1,1,1)Mg8Zn2Cu2 cuboctahedra; edges with two equivalent Zn(1)Mg10Cu2 cuboctahedra; edges with four equivalent Mg(4)Mg10Cu2 cuboctahedra; edges with four Mg(1,1,1)Mg8Zn2Cu2 cuboctahedra; edges with eight Mg(3,3,3)Mg8Zn2Cu2 cuboctahedra; faces with two equivalent Mg(4)Mg10Cu2 cuboctahedra; faces with two equivalent Mg(2)Mg10Zn2 cuboctahedra; faces with two equivalent Zn(1)Mg10Cu2 cuboctahedra; faces with four Mg(1,1,1)Mg8Zn2Cu2 cuboctahedra; faces with four Mg(3,3)Mg8Zn2Cu2 cuboctahedra; and faces with six equivalent Cu(1)Mg10Zn2 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 Mg(4), two equivalent Cu(1), and two equivalent Zn(1) atoms to form distorted MgMg8Zn2Cu2 cuboctahedra that share corners with four equivalent Mg(4)Mg10Cu2 cuboctahedra; corners with four equivalent Cu(1)Mg10Zn2 cuboctahedra; corners with ten Mg(3,3)Mg8Zn2Cu2 cuboctahedra; edges with two equivalent Mg(4)Mg10Cu2 cuboctahedra; edges with two equivalent Mg(3)Mg8Zn2Cu2 cuboctahedra; edges with two equivalent Cu(1)Mg10Zn2 cuboctahedra; edges with four equivalent Mg(2)Mg10Zn2 cuboctahedra; edges with four equivalent Mg(1)Mg8Zn2Cu2 cuboctahedra; edges with four equivalent Zn(1)Mg10Cu2 cuboctahedra; faces with two equivalent Mg(4)Mg10Cu2 cuboctahedra; faces with two equivalent Mg(2)Mg10Zn2 cuboctahedra; faces with two equivalent Cu(1)Mg10Zn2 cuboctahedra; faces with two equivalent Zn(1)Mg10Cu2 cuboctahedra; faces with four Mg(3,3)Mg8Zn2Cu2 cuboctahedra; and faces with eight Mg(1,1,1)Mg8Zn2Cu2 cuboctahedra. In the fourth Mg site, Mg(3) is bonded to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), two equivalent Cu(1), and two equivalent Zn(1) atoms to form distorted MgMg8Zn2Cu2 cuboctahedra that share corners with four equivalent Mg(4)Mg10Cu2 cuboctahedra; corners with four equivalent Cu(1)Mg10Zn2 cuboctahedra; corners with ten Mg(3,3,3)Mg8Zn2Cu2 cuboctahedra; edges with two equivalent Mg(4)Mg10Cu2 cuboctahedra; edges with two equivalent Mg(3)Mg8Zn2Cu2 cuboctahedra; edges with two equivalent Cu(1)Mg10Zn2 cuboctahedra; edges with four equivalent Mg(2)Mg10Zn2 cuboctahedra; edges with four equivalent Mg(1)Mg8Zn2Cu2 cuboctahedra; edges with four equivalent Zn(1)Mg10Cu2 cuboctahedra; faces with two equivalent Mg(4)Mg10Cu2 cuboctahedra; faces with two equivalent Mg(2)Mg10Zn2 cuboctahedra; faces with two equivalent Cu(1)Mg10Zn2 cuboctahedra; faces with two equivalent Zn(1)Mg10Cu2 cuboctahedra; faces with four Mg(3,3)Mg8Zn2Cu2 cuboctahedra; and faces with eight Mg(1,1,1)Mg8Zn2Cu2 cuboctahedra. In the fifth Mg site, Mg(4) is bonded to two equivalent Mg(2); four equivalent Mg(1); four Mg(3,3,3); and two equivalent Cu(1) atoms to form distorted MgMg10Cu2 cuboctahedra that share corners with four equivalent Cu(1)Mg10Zn2 cuboctahedra; corners with six equivalent Mg(4)Mg10Cu2 cuboctahedra; corners with eight Mg(3,3,3)Mg8Zn2Cu2 cuboctahedra; edges with two equivalent Cu(1)Mg10Zn2 cuboctahedra; edges with four equivalent Mg(2)Mg10Zn2 cuboctahedra; edges with four Mg(3,3,3)Mg8Zn2Cu2 cuboctahedra; edges with eight Mg(1,1,1)Mg8Zn2Cu2 cuboctahedra; faces with two equivalent Mg(4)Mg10Cu2 cuboctahedra; faces with two equivalent Mg(2)Mg10Zn2 cuboctahedra; faces with two equivalent Cu(1)Mg10Zn2 cuboctahedra; faces with four equivalent Mg(1)Mg8Zn2Cu2 cuboctahedra; faces with four Mg(3,3,3)Mg8Zn2Cu2 cuboctahedra; and faces with six equivalent Zn(1)Mg10Cu2 cuboctahedra. In the sixth Mg site, Mg(1) is bonded to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), two equivalent Cu(1), and two equivalent Zn(1) atoms to form distorted MgMg8Zn2Cu2 cuboctahedra that share corners with four equivalent Mg(2)Mg10Zn2 cuboctahedra; corners with four equivalent Zn(1)Mg10Cu2 cuboctahedra; corners with ten Mg(1,1,1)Mg8Zn2Cu2 cuboctahedra; edges with two equivalent Mg(2)Mg10Zn2 cuboctahedra; edges with two equivalent Mg(1)Mg8Zn2Cu2 cuboctahedra; edges with two equivalent Zn(1)Mg10Cu2 cuboctahedra; edges with four equivalent Mg(4)Mg10Cu2 cuboctahedra; edges with four equivalent Mg(3)Mg8Zn2Cu2 cuboctahedra; edges with four equivalent Cu(1)Mg10Zn2 cuboctahedra; faces with two equivalent Mg(4)Mg10Cu2 cuboctahedra; faces with two equivalent Mg(2)Mg10Zn2 cuboctahedra; faces with two equivalent Cu(1)Mg10Zn2 cuboctahedra; faces with two equivalent Zn(1)Mg10Cu2 cuboctahedra; faces with four Mg(1,1)Mg8Zn2Cu2 cuboctahedra; and faces with eight Mg(3,3,3)Mg8Zn2Cu2 cuboctahedra. In the seventh Mg site, Mg(1) is bonded to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), two equivalent Cu(1), and two equivalent Zn(1) atoms to form distorted MgMg8Zn2Cu2 cuboctahedra that share corners with four equivalent Mg(2)Mg10Zn2 cuboctahedra; corners with four equivalent Zn(1)Mg10Cu2 cuboctahedra; corners with ten Mg(1,1,1)Mg8Zn2Cu2 cuboctahedra; edges with two equivalent Mg(2)Mg10Zn2 cuboctahedra; edges with two equivalent Mg(1)Mg8Zn2Cu2 cuboctahedra; edges with two equivalent Zn(1)Mg10Cu2 cuboctahedra; edges with four equivalent Mg(4)Mg10Cu2 cuboctahedra; edges with four equivalent Mg(3)Mg8Zn2Cu2 cuboctahedra; edges with four equivalent Cu(1)Mg10Zn2 cuboctahedra; faces with two equivalent Mg(4)Mg10Cu2 cuboctahedra; faces with two equivalent Mg(2)Mg10Zn2 cuboctahedra; faces with two equivalent Cu(1)Mg10Zn2 cuboctahedra; faces with two equivalent Zn(1)Mg10Cu2 cuboctahedra; faces with four Mg(1,1)Mg8Zn2Cu2 cuboctahedra; and faces with eight Mg(3,3)Mg8Zn2Cu2 cuboctahedra. In the eighth Mg site, Mg(3) is bonded to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), two equivalent Cu(1), and two equivalent Zn(1) atoms to form distorted MgMg8Zn2Cu2 cuboctahedra that share corners with four equivalent Mg(4)Mg10Cu2 cuboctahedra; corners with four equivalent Cu(1)Mg10Zn2 cuboctahedra; corners with ten Mg(3,3,3)Mg8Zn2Cu2 cuboctahedra; edges with two equivalent Mg(4)Mg10Cu2 cuboctahedra; edges with two equivalent Mg(3)Mg8Zn2Cu2 cuboctahedra; edges with two equivalent Cu(1)Mg10Zn2 cuboctahedra; edges with four equivalent Mg(2)Mg10Zn2 cuboctahedra; edges with four equivalent Mg(1)Mg8Zn2Cu2 cuboctahedra; edges with four equivalent Zn(1)Mg10Cu2 cuboctahedra; faces with two equivalent Mg(4)Mg10Cu2 cuboctahedra; faces with two equivalent Mg(2)Mg10Zn2 cuboctahedra; faces with two equivalent Cu(1)Mg10Zn2 cuboctahedra; faces with two equivalent Zn(1)Mg10Cu2 cuboctahedra; faces with four Mg(3,3)Mg8Zn2Cu2 cuboctahedra; and faces with eight Mg(1,1)Mg8Zn2Cu2 cuboctahedra. Cu(1) is bonded to two equivalent Mg(4); four equivalent Mg(1); four Mg(3,3,3); and two equivalent Zn(1) atoms to form CuMg10Zn2 cuboctahedra that share corners with four equivalent Mg(4)Mg10Cu2 cuboctahedra; corners with six equivalent Cu(1)Mg10Zn2 cuboctahedra; corners with eight Mg(3,3,3)Mg8Zn2Cu2 cuboctahedra; edges with two equivalent Mg(4)Mg10Cu2 cuboctahedra; edges with four Mg(3,3,3)Mg8Zn2Cu2 cuboctahedra; edges with four equivalent Zn(1)Mg10Cu2 cuboctahedra; edges with eight Mg(1,1,1)Mg8Zn2Cu2 cuboctahedra; faces with two equivalent Mg(4)Mg10Cu2 cuboctahedra; faces with two equivalent Cu(1)Mg10Zn2 cuboctahedra; faces with two equivalent Zn(1)Mg10Cu2 cuboctahedra; faces with four equivalent Mg(1)Mg8Zn2Cu2 cuboctahedra; faces with four Mg(3,3,3)Mg8Zn2Cu2 cuboctahedra; and faces with six equivalent Mg(2)Mg10Zn2 cuboctahedra. Zn(1) is bonded to two equivalent Mg(2); four Mg(1,1,1); four Mg(3,3); and two equivalent Cu(1) atoms to form ZnMg10Cu2 cuboctahedra that share corners with four equivalent Mg(2)Mg10Zn2 cuboctahedra; corners with six equivalent Zn(1)Mg10Cu2 cuboctahedra; corners with eight Mg(1,1,1)Mg8Zn2Cu2 cuboctahedra; edges with two equivalent Mg(2)Mg10Zn2 cuboctahedra; edges with four Mg(1,1,1)Mg8Zn2Cu2 cuboctahedra; edges with four equivalent Cu(1)Mg10Zn2 cuboctahedra; edges with eight Mg(3,3,3)Mg8Zn2Cu2 cuboctahedra; faces with two equivalent Mg(2)Mg10Zn2 cuboctahedra; faces with two equivalent Cu(1)Mg10Zn2 cuboctahedra; faces with two equivalent Zn(1)Mg10Cu2 cuboctahedra; faces with four Mg(1,1,1)Mg8Zn2Cu2 cuboctahedra; faces with four Mg(3,3)Mg8Zn2Cu2 cuboctahedra; and faces with six equivalent Mg(4)Mg10Cu2 cuboctahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_Mg6ZnCu
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   4.944
_cell_length_b   5.999
_cell_length_c   6.068
_cell_angle_alpha   119.621
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   156.471
_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
  Cu  Cu0  1  0.500  0.666  0.331  1.0
  Mg  Mg1  1  0.000  0.348  0.177  1.0
  Mg  Mg2  1  0.000  0.830  0.177  1.0
  Mg  Mg3  1  0.000  0.332  0.664  1.0
  Mg  Mg4  1  0.500  0.158  0.826  1.0
  Mg  Mg5  1  0.500  0.668  0.826  1.0
  Mg  Mg6  1  0.500  0.167  0.335  1.0
  Zn  Zn7  1  0.000  0.832  0.663  1.0
[/CIF]
.
The material described by Mg6CuZn is beta Cu3Ti-derived structured and crystallizes in the orthorhombic Amm2 space group. There are eight 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), two equivalent Mg(4), two equivalent Cu(1), and two equivalent Zn(1) atoms to form distorted MgMg8Zn2Cu2 cuboctahedra that share corners with four equivalent Mg(2)Mg10Zn2 cuboctahedra; corners with four equivalent Zn(1)Mg10Cu2 cuboctahedra; corners with ten Mg(1,1)Mg8Zn2Cu2 cuboctahedra; edges with two equivalent Mg(2)Mg10Zn2 cuboctahedra; edges with two equivalent Mg(1)Mg8Zn2Cu2 cuboctahedra; edges with two equivalent Zn(1)Mg10Cu2 cuboctahedra; edges with four equivalent Mg(4)Mg10Cu2 cuboctahedra; edges with four equivalent Mg(3)Mg8Zn2Cu2 cuboctahedra; edges with four equivalent Cu(1)Mg10Zn2 cuboctahedra; faces with two equivalent Mg(4)Mg10Cu2 cuboctahedra; faces with two equivalent Mg(2)Mg10Zn2 cuboctahedra; faces with two equivalent Cu(1)Mg10Zn2 cuboctahedra; faces with two equivalent Zn(1)Mg10Cu2 cuboctahedra; faces with four equivalent Mg(1)Mg8Zn2Cu2 cuboctahedra; and faces with eight Mg(3,3,3)Mg8Zn2Cu2 cuboctahedra. In the second Mg site, Mg(2) is bonded to two equivalent Mg(4); four Mg(1,1,1); four Mg(3,3); and two equivalent Zn(1) atoms to form distorted MgMg10Zn2 cuboctahedra that share corners with four equivalent Zn(1)Mg10Cu2 cuboctahedra; corners with six equivalent Mg(2)Mg10Zn2 cuboctahedra; corners with eight Mg(1,1,1)Mg8Zn2Cu2 cuboctahedra; edges with two equivalent Zn(1)Mg10Cu2 cuboctahedra; edges with four equivalent Mg(4)Mg10Cu2 cuboctahedra; edges with four Mg(1,1,1)Mg8Zn2Cu2 cuboctahedra; edges with eight Mg(3,3,3)Mg8Zn2Cu2 cuboctahedra; faces with two equivalent Mg(4)Mg10Cu2 cuboctahedra; faces with two equivalent Mg(2)Mg10Zn2 cuboctahedra; faces with two equivalent Zn(1)Mg10Cu2 cuboctahedra; faces with four Mg(1,1,1)Mg8Zn2Cu2 cuboctahedra; faces with four Mg(3,3)Mg8Zn2Cu2 cuboctahedra; and faces with six equivalent Cu(1)Mg10Zn2 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 Mg(4), two equivalent Cu(1), and two equivalent Zn(1) atoms to form distorted MgMg8Zn2Cu2 cuboctahedra that share corners with four equivalent Mg(4)Mg10Cu2 cuboctahedra; corners with four equivalent Cu(1)Mg10Zn2 cuboctahedra; corners with ten Mg(3,3)Mg8Zn2Cu2 cuboctahedra; edges with two equivalent Mg(4)Mg10Cu2 cuboctahedra; edges with two equivalent Mg(3)Mg8Zn2Cu2 cuboctahedra; edges with two equivalent Cu(1)Mg10Zn2 cuboctahedra; edges with four equivalent Mg(2)Mg10Zn2 cuboctahedra; edges with four equivalent Mg(1)Mg8Zn2Cu2 cuboctahedra; edges with four equivalent Zn(1)Mg10Cu2 cuboctahedra; faces with two equivalent Mg(4)Mg10Cu2 cuboctahedra; faces with two equivalent Mg(2)Mg10Zn2 cuboctahedra; faces with two equivalent Cu(1)Mg10Zn2 cuboctahedra; faces with two equivalent Zn(1)Mg10Cu2 cuboctahedra; faces with four Mg(3,3)Mg8Zn2Cu2 cuboctahedra; and faces with eight Mg(1,1,1)Mg8Zn2Cu2 cuboctahedra. In the fourth Mg site, Mg(3) is bonded to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), two equivalent Cu(1), and two equivalent Zn(1) atoms to form distorted MgMg8Zn2Cu2 cuboctahedra that share corners with four equivalent Mg(4)Mg10Cu2 cuboctahedra; corners with four equivalent Cu(1)Mg10Zn2 cuboctahedra; corners with ten Mg(3,3,3)Mg8Zn2Cu2 cuboctahedra; edges with two equivalent Mg(4)Mg10Cu2 cuboctahedra; edges with two equivalent Mg(3)Mg8Zn2Cu2 cuboctahedra; edges with two equivalent Cu(1)Mg10Zn2 cuboctahedra; edges with four equivalent Mg(2)Mg10Zn2 cuboctahedra; edges with four equivalent Mg(1)Mg8Zn2Cu2 cuboctahedra; edges with four equivalent Zn(1)Mg10Cu2 cuboctahedra; faces with two equivalent Mg(4)Mg10Cu2 cuboctahedra; faces with two equivalent Mg(2)Mg10Zn2 cuboctahedra; faces with two equivalent Cu(1)Mg10Zn2 cuboctahedra; faces with two equivalent Zn(1)Mg10Cu2 cuboctahedra; faces with four Mg(3,3)Mg8Zn2Cu2 cuboctahedra; and faces with eight Mg(1,1,1)Mg8Zn2Cu2 cuboctahedra. In the fifth Mg site, Mg(4) is bonded to two equivalent Mg(2); four equivalent Mg(1); four Mg(3,3,3); and two equivalent Cu(1) atoms to form distorted MgMg10Cu2 cuboctahedra that share corners with four equivalent Cu(1)Mg10Zn2 cuboctahedra; corners with six equivalent Mg(4)Mg10Cu2 cuboctahedra; corners with eight Mg(3,3,3)Mg8Zn2Cu2 cuboctahedra; edges with two equivalent Cu(1)Mg10Zn2 cuboctahedra; edges with four equivalent Mg(2)Mg10Zn2 cuboctahedra; edges with four Mg(3,3,3)Mg8Zn2Cu2 cuboctahedra; edges with eight Mg(1,1,1)Mg8Zn2Cu2 cuboctahedra; faces with two equivalent Mg(4)Mg10Cu2 cuboctahedra; faces with two equivalent Mg(2)Mg10Zn2 cuboctahedra; faces with two equivalent Cu(1)Mg10Zn2 cuboctahedra; faces with four equivalent Mg(1)Mg8Zn2Cu2 cuboctahedra; faces with four Mg(3,3,3)Mg8Zn2Cu2 cuboctahedra; and faces with six equivalent Zn(1)Mg10Cu2 cuboctahedra. In the sixth Mg site, Mg(1) is bonded to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), two equivalent Cu(1), and two equivalent Zn(1) atoms to form distorted MgMg8Zn2Cu2 cuboctahedra that share corners with four equivalent Mg(2)Mg10Zn2 cuboctahedra; corners with four equivalent Zn(1)Mg10Cu2 cuboctahedra; corners with ten Mg(1,1,1)Mg8Zn2Cu2 cuboctahedra; edges with two equivalent Mg(2)Mg10Zn2 cuboctahedra; edges with two equivalent Mg(1)Mg8Zn2Cu2 cuboctahedra; edges with two equivalent Zn(1)Mg10Cu2 cuboctahedra; edges with four equivalent Mg(4)Mg10Cu2 cuboctahedra; edges with four equivalent Mg(3)Mg8Zn2Cu2 cuboctahedra; edges with four equivalent Cu(1)Mg10Zn2 cuboctahedra; faces with two equivalent Mg(4)Mg10Cu2 cuboctahedra; faces with two equivalent Mg(2)Mg10Zn2 cuboctahedra; faces with two equivalent Cu(1)Mg10Zn2 cuboctahedra; faces with two equivalent Zn(1)Mg10Cu2 cuboctahedra; faces with four Mg(1,1)Mg8Zn2Cu2 cuboctahedra; and faces with eight Mg(3,3,3)Mg8Zn2Cu2 cuboctahedra. In the seventh Mg site, Mg(1) is bonded to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), two equivalent Cu(1), and two equivalent Zn(1) atoms to form distorted MgMg8Zn2Cu2 cuboctahedra that share corners with four equivalent Mg(2)Mg10Zn2 cuboctahedra; corners with four equivalent Zn(1)Mg10Cu2 cuboctahedra; corners with ten Mg(1,1,1)Mg8Zn2Cu2 cuboctahedra; edges with two equivalent Mg(2)Mg10Zn2 cuboctahedra; edges with two equivalent Mg(1)Mg8Zn2Cu2 cuboctahedra; edges with two equivalent Zn(1)Mg10Cu2 cuboctahedra; edges with four equivalent Mg(4)Mg10Cu2 cuboctahedra; edges with four equivalent Mg(3)Mg8Zn2Cu2 cuboctahedra; edges with four equivalent Cu(1)Mg10Zn2 cuboctahedra; faces with two equivalent Mg(4)Mg10Cu2 cuboctahedra; faces with two equivalent Mg(2)Mg10Zn2 cuboctahedra; faces with two equivalent Cu(1)Mg10Zn2 cuboctahedra; faces with two equivalent Zn(1)Mg10Cu2 cuboctahedra; faces with four Mg(1,1)Mg8Zn2Cu2 cuboctahedra; and faces with eight Mg(3,3)Mg8Zn2Cu2 cuboctahedra. In the eighth Mg site, Mg(3) is bonded to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), two equivalent Cu(1), and two equivalent Zn(1) atoms to form distorted MgMg8Zn2Cu2 cuboctahedra that share corners with four equivalent Mg(4)Mg10Cu2 cuboctahedra; corners with four equivalent Cu(1)Mg10Zn2 cuboctahedra; corners with ten Mg(3,3,3)Mg8Zn2Cu2 cuboctahedra; edges with two equivalent Mg(4)Mg10Cu2 cuboctahedra; edges with two equivalent Mg(3)Mg8Zn2Cu2 cuboctahedra; edges with two equivalent Cu(1)Mg10Zn2 cuboctahedra; edges with four equivalent Mg(2)Mg10Zn2 cuboctahedra; edges with four equivalent Mg(1)Mg8Zn2Cu2 cuboctahedra; edges with four equivalent Zn(1)Mg10Cu2 cuboctahedra; faces with two equivalent Mg(4)Mg10Cu2 cuboctahedra; faces with two equivalent Mg(2)Mg10Zn2 cuboctahedra; faces with two equivalent Cu(1)Mg10Zn2 cuboctahedra; faces with two equivalent Zn(1)Mg10Cu2 cuboctahedra; faces with four Mg(3,3)Mg8Zn2Cu2 cuboctahedra; and faces with eight Mg(1,1)Mg8Zn2Cu2 cuboctahedra. Cu(1) is bonded to two equivalent Mg(4); four equivalent Mg(1); four Mg(3,3,3); and two equivalent Zn(1) atoms to form CuMg10Zn2 cuboctahedra that share corners with four equivalent Mg(4)Mg10Cu2 cuboctahedra; corners with six equivalent Cu(1)Mg10Zn2 cuboctahedra; corners with eight Mg(3,3,3)Mg8Zn2Cu2 cuboctahedra; edges with two equivalent Mg(4)Mg10Cu2 cuboctahedra; edges with four Mg(3,3,3)Mg8Zn2Cu2 cuboctahedra; edges with four equivalent Zn(1)Mg10Cu2 cuboctahedra; edges with eight Mg(1,1,1)Mg8Zn2Cu2 cuboctahedra; faces with two equivalent Mg(4)Mg10Cu2 cuboctahedra; faces with two equivalent Cu(1)Mg10Zn2 cuboctahedra; faces with two equivalent Zn(1)Mg10Cu2 cuboctahedra; faces with four equivalent Mg(1)Mg8Zn2Cu2 cuboctahedra; faces with four Mg(3,3,3)Mg8Zn2Cu2 cuboctahedra; and faces with six equivalent Mg(2)Mg10Zn2 cuboctahedra. Zn(1) is bonded to two equivalent Mg(2); four Mg(1,1,1); four Mg(3,3); and two equivalent Cu(1) atoms to form ZnMg10Cu2 cuboctahedra that share corners with four equivalent Mg(2)Mg10Zn2 cuboctahedra; corners with six equivalent Zn(1)Mg10Cu2 cuboctahedra; corners with eight Mg(1,1,1)Mg8Zn2Cu2 cuboctahedra; edges with two equivalent Mg(2)Mg10Zn2 cuboctahedra; edges with four Mg(1,1,1)Mg8Zn2Cu2 cuboctahedra; edges with four equivalent Cu(1)Mg10Zn2 cuboctahedra; edges with eight Mg(3,3,3)Mg8Zn2Cu2 cuboctahedra; faces with two equivalent Mg(2)Mg10Zn2 cuboctahedra; faces with two equivalent Cu(1)Mg10Zn2 cuboctahedra; faces with two equivalent Zn(1)Mg10Cu2 cuboctahedra; faces with four Mg(1,1,1)Mg8Zn2Cu2 cuboctahedra; faces with four Mg(3,3)Mg8Zn2Cu2 cuboctahedra; and faces with six equivalent Mg(4)Mg10Cu2 cuboctahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_Mg6ZnCu
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   4.944
_cell_length_b   5.999
_cell_length_c   6.068
_cell_angle_alpha   119.621
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   156.471
_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
  Cu  Cu0  1  0.500  0.666  0.331  1.0
  Mg  Mg1  1  0.000  0.348  0.177  1.0
  Mg  Mg2  1  0.000  0.830  0.177  1.0
  Mg  Mg3  1  0.000  0.332  0.664  1.0
  Mg  Mg4  1  0.500  0.158  0.826  1.0
  Mg  Mg5  1  0.500  0.668  0.826  1.0
  Mg  Mg6  1  0.500  0.167  0.335  1.0
  Zn  Zn7  1  0.000  0.832  0.663  1.0
[/CIF]
.