The material structure described by LiMg6Cu crystallizes in the orthorhombic Amm2 space group. Li(1) is bonded to two equivalent Mg(4); four Mg(1,1); four equivalent Mg(2); and two equivalent Cu(1) atoms to form LiMg10Cu2 cuboctahedra that share corners with four equivalent Cu(1)Li2Mg10 cuboctahedra; corners with six equivalent Li(1)Mg10Cu2 cuboctahedra; corners with eight Mg(1,1)Li2Mg8Cu2 cuboctahedra; edges with two equivalent Cu(1)Li2Mg10 cuboctahedra; edges with four equivalent Mg(4)Li2Mg10 cuboctahedra; edges with four Mg(1,1)Li2Mg8Cu2 cuboctahedra; edges with eight Mg(2,2)Li2Mg8Cu2 cuboctahedra; faces with two equivalent Li(1)Mg10Cu2 cuboctahedra; faces with two equivalent Mg(4)Li2Mg10 cuboctahedra; faces with two equivalent Cu(1)Li2Mg10 cuboctahedra; faces with four Mg(1,1)Li2Mg8Cu2 cuboctahedra; faces with four equivalent Mg(2)Li2Mg8Cu2 cuboctahedra; and faces with six equivalent Mg(3)Mg10Cu2 cuboctahedra. There are six inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Li(1), two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), and two equivalent Cu(1) atoms to form distorted MgLi2Mg8Cu2 cuboctahedra that share corners with four equivalent Li(1)Mg10Cu2 cuboctahedra, corners with four equivalent Cu(1)Li2Mg10 cuboctahedra, corners with ten equivalent Mg(1)Li2Mg8Cu2 cuboctahedra, edges with two equivalent Li(1)Mg10Cu2 cuboctahedra, edges with two equivalent Mg(1)Li2Mg8Cu2 cuboctahedra, edges with two equivalent Cu(1)Li2Mg10 cuboctahedra, edges with four equivalent Mg(4)Li2Mg10 cuboctahedra, edges with four equivalent Mg(2)Li2Mg8Cu2 cuboctahedra, edges with four equivalent Mg(3)Mg10Cu2 cuboctahedra, faces with two equivalent Li(1)Mg10Cu2 cuboctahedra, faces with two equivalent Mg(4)Li2Mg10 cuboctahedra, faces with two equivalent Mg(3)Mg10Cu2 cuboctahedra, faces with two equivalent Cu(1)Li2Mg10 cuboctahedra, faces with four equivalent Mg(1)Li2Mg8Cu2 cuboctahedra, and faces with eight equivalent Mg(2)Li2Mg8Cu2 cuboctahedra. In the second Mg site, Mg(2) is bonded to two equivalent Li(1), two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), and two equivalent Cu(1) atoms to form distorted MgLi2Mg8Cu2 cuboctahedra that share corners with four equivalent Mg(4)Li2Mg10 cuboctahedra; corners with four equivalent Mg(3)Mg10Cu2 cuboctahedra; corners with ten Mg(2,2)Li2Mg8Cu2 cuboctahedra; edges with two equivalent Mg(4)Li2Mg10 cuboctahedra; edges with two equivalent Mg(2)Li2Mg8Cu2 cuboctahedra; edges with two equivalent Mg(3)Mg10Cu2 cuboctahedra; edges with four equivalent Li(1)Mg10Cu2 cuboctahedra; edges with four equivalent Mg(1)Li2Mg8Cu2 cuboctahedra; edges with four equivalent Cu(1)Li2Mg10 cuboctahedra; faces with two equivalent Li(1)Mg10Cu2 cuboctahedra; faces with two equivalent Mg(4)Li2Mg10 cuboctahedra; faces with two equivalent Mg(3)Mg10Cu2 cuboctahedra; faces with two equivalent Cu(1)Li2Mg10 cuboctahedra; faces with four equivalent Mg(2)Li2Mg8Cu2 cuboctahedra; and faces with eight Mg(1,1)Li2Mg8Cu2 cuboctahedra. In the third Mg site, Mg(3) is bonded to two equivalent Mg(4); four equivalent Mg(1); four Mg(2,2); and two equivalent Cu(1) atoms to form distorted MgMg10Cu2 cuboctahedra that share corners with four equivalent Mg(4)Li2Mg10 cuboctahedra; corners with six equivalent Mg(3)Mg10Cu2 cuboctahedra; corners with eight Mg(2,2)Li2Mg8Cu2 cuboctahedra; edges with two equivalent Mg(4)Li2Mg10 cuboctahedra; edges with four Mg(2,2)Li2Mg8Cu2 cuboctahedra; edges with four equivalent Cu(1)Li2Mg10 cuboctahedra; edges with eight Mg(1,1)Li2Mg8Cu2 cuboctahedra; faces with two equivalent Mg(4)Li2Mg10 cuboctahedra; faces with two equivalent Mg(3)Mg10Cu2 cuboctahedra; faces with two equivalent Cu(1)Li2Mg10 cuboctahedra; faces with four equivalent Mg(1)Li2Mg8Cu2 cuboctahedra; faces with four Mg(2,2)Li2Mg8Cu2 cuboctahedra; and faces with six equivalent Li(1)Mg10Cu2 cuboctahedra. In the fourth Mg site, Mg(4) is bonded to two equivalent Li(1); two equivalent Mg(3); four Mg(1,1); and four Mg(2,2) atoms to form distorted MgLi2Mg10 cuboctahedra that share corners with four equivalent Mg(3)Mg10Cu2 cuboctahedra; corners with six equivalent Mg(4)Li2Mg10 cuboctahedra; corners with eight Mg(2,2)Li2Mg8Cu2 cuboctahedra; edges with two equivalent Mg(3)Mg10Cu2 cuboctahedra; edges with four equivalent Li(1)Mg10Cu2 cuboctahedra; edges with four Mg(2,2)Li2Mg8Cu2 cuboctahedra; edges with eight Mg(1,1)Li2Mg8Cu2 cuboctahedra; faces with two equivalent Li(1)Mg10Cu2 cuboctahedra; faces with two equivalent Mg(4)Li2Mg10 cuboctahedra; faces with two equivalent Mg(3)Mg10Cu2 cuboctahedra; faces with four Mg(1,1)Li2Mg8Cu2 cuboctahedra; faces with four Mg(2,2)Li2Mg8Cu2 cuboctahedra; and faces with six equivalent Cu(1)Li2Mg10 cuboctahedra. In the fifth Mg site, Mg(1) is bonded to two equivalent Li(1), two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), and two equivalent Cu(1) atoms to form distorted MgLi2Mg8Cu2 cuboctahedra that share corners with four equivalent Li(1)Mg10Cu2 cuboctahedra; corners with four equivalent Cu(1)Li2Mg10 cuboctahedra; corners with ten Mg(1,1)Li2Mg8Cu2 cuboctahedra; edges with two equivalent Li(1)Mg10Cu2 cuboctahedra; edges with two equivalent Mg(1)Li2Mg8Cu2 cuboctahedra; edges with two equivalent Cu(1)Li2Mg10 cuboctahedra; edges with four equivalent Mg(4)Li2Mg10 cuboctahedra; edges with four equivalent Mg(2)Li2Mg8Cu2 cuboctahedra; edges with four equivalent Mg(3)Mg10Cu2 cuboctahedra; faces with two equivalent Li(1)Mg10Cu2 cuboctahedra; faces with two equivalent Mg(4)Li2Mg10 cuboctahedra; faces with two equivalent Mg(3)Mg10Cu2 cuboctahedra; faces with two equivalent Cu(1)Li2Mg10 cuboctahedra; faces with four Mg(1,1)Li2Mg8Cu2 cuboctahedra; and faces with eight Mg(2,2)Li2Mg8Cu2 cuboctahedra. In the sixth Mg site, Mg(2) is bonded to two equivalent Li(1), two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), and two equivalent Cu(1) atoms to form distorted MgLi2Mg8Cu2 cuboctahedra that share corners with four equivalent Mg(4)Li2Mg10 cuboctahedra; corners with four equivalent Mg(3)Mg10Cu2 cuboctahedra; corners with ten Mg(2,2)Li2Mg8Cu2 cuboctahedra; edges with two equivalent Mg(4)Li2Mg10 cuboctahedra; edges with two equivalent Mg(2)Li2Mg8Cu2 cuboctahedra; edges with two equivalent Mg(3)Mg10Cu2 cuboctahedra; edges with four equivalent Li(1)Mg10Cu2 cuboctahedra; edges with four equivalent Mg(1)Li2Mg8Cu2 cuboctahedra; edges with four equivalent Cu(1)Li2Mg10 cuboctahedra; faces with two equivalent Li(1)Mg10Cu2 cuboctahedra; faces with two equivalent Mg(4)Li2Mg10 cuboctahedra; faces with two equivalent Mg(3)Mg10Cu2 cuboctahedra; faces with two equivalent Cu(1)Li2Mg10 cuboctahedra; faces with four Mg(2,2)Li2Mg8Cu2 cuboctahedra; and faces with eight Mg(1,1)Li2Mg8Cu2 cuboctahedra. Cu(1) is bonded to two equivalent Li(1); two equivalent Mg(3); four Mg(1,1); and four Mg(2,2) atoms to form CuLi2Mg10 cuboctahedra that share corners with four equivalent Li(1)Mg10Cu2 cuboctahedra; corners with six equivalent Cu(1)Li2Mg10 cuboctahedra; corners with eight Mg(1,1)Li2Mg8Cu2 cuboctahedra; edges with two equivalent Li(1)Mg10Cu2 cuboctahedra; edges with four Mg(1,1)Li2Mg8Cu2 cuboctahedra; edges with four equivalent Mg(3)Mg10Cu2 cuboctahedra; edges with eight Mg(2,2)Li2Mg8Cu2 cuboctahedra; faces with two equivalent Li(1)Mg10Cu2 cuboctahedra; faces with two equivalent Mg(3)Mg10Cu2 cuboctahedra; faces with two equivalent Cu(1)Li2Mg10 cuboctahedra; faces with four Mg(1,1)Li2Mg8Cu2 cuboctahedra; faces with four Mg(2,2)Li2Mg8Cu2 cuboctahedra; and faces with six equivalent Mg(4)Li2Mg10 cuboctahedra. is represented by the CIF file [CIF]
data_LiMg6Cu
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   4.887
_cell_length_b   6.121
_cell_length_c   6.121
_cell_angle_alpha   118.822
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   160.414
_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  0.166  0.834  1.0
  Li  Li1  1  0.500  0.667  0.333  1.0
  Mg  Mg2  1  0.500  0.667  0.835  1.0
  Mg  Mg3  1  0.500  0.165  0.333  1.0
  Mg  Mg4  1  0.000  0.843  0.667  1.0
  Mg  Mg5  1  0.000  0.333  0.157  1.0
  Mg  Mg6  1  0.000  0.329  0.671  1.0
  Mg  Mg7  1  0.000  0.831  0.169  1.0
[/CIF]
.
The material structure described by LiMg6Cu crystallizes in the orthorhombic Amm2 space group. Li(1) is bonded to two equivalent Mg(4); four Mg(1,1); four equivalent Mg(2); and two equivalent Cu(1) atoms to form LiMg10Cu2 cuboctahedra that share corners with four equivalent Cu(1)Li2Mg10 cuboctahedra; corners with six equivalent Li(1)Mg10Cu2 cuboctahedra; corners with eight Mg(1,1)Li2Mg8Cu2 cuboctahedra; edges with two equivalent Cu(1)Li2Mg10 cuboctahedra; edges with four equivalent Mg(4)Li2Mg10 cuboctahedra; edges with four Mg(1,1)Li2Mg8Cu2 cuboctahedra; edges with eight Mg(2,2)Li2Mg8Cu2 cuboctahedra; faces with two equivalent Li(1)Mg10Cu2 cuboctahedra; faces with two equivalent Mg(4)Li2Mg10 cuboctahedra; faces with two equivalent Cu(1)Li2Mg10 cuboctahedra; faces with four Mg(1,1)Li2Mg8Cu2 cuboctahedra; faces with four equivalent Mg(2)Li2Mg8Cu2 cuboctahedra; and faces with six equivalent Mg(3)Mg10Cu2 cuboctahedra. There are six inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Li(1), two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), and two equivalent Cu(1) atoms to form distorted MgLi2Mg8Cu2 cuboctahedra that share corners with four equivalent Li(1)Mg10Cu2 cuboctahedra, corners with four equivalent Cu(1)Li2Mg10 cuboctahedra, corners with ten equivalent Mg(1)Li2Mg8Cu2 cuboctahedra, edges with two equivalent Li(1)Mg10Cu2 cuboctahedra, edges with two equivalent Mg(1)Li2Mg8Cu2 cuboctahedra, edges with two equivalent Cu(1)Li2Mg10 cuboctahedra, edges with four equivalent Mg(4)Li2Mg10 cuboctahedra, edges with four equivalent Mg(2)Li2Mg8Cu2 cuboctahedra, edges with four equivalent Mg(3)Mg10Cu2 cuboctahedra, faces with two equivalent Li(1)Mg10Cu2 cuboctahedra, faces with two equivalent Mg(4)Li2Mg10 cuboctahedra, faces with two equivalent Mg(3)Mg10Cu2 cuboctahedra, faces with two equivalent Cu(1)Li2Mg10 cuboctahedra, faces with four equivalent Mg(1)Li2Mg8Cu2 cuboctahedra, and faces with eight equivalent Mg(2)Li2Mg8Cu2 cuboctahedra. In the second Mg site, Mg(2) is bonded to two equivalent Li(1), two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), and two equivalent Cu(1) atoms to form distorted MgLi2Mg8Cu2 cuboctahedra that share corners with four equivalent Mg(4)Li2Mg10 cuboctahedra; corners with four equivalent Mg(3)Mg10Cu2 cuboctahedra; corners with ten Mg(2,2)Li2Mg8Cu2 cuboctahedra; edges with two equivalent Mg(4)Li2Mg10 cuboctahedra; edges with two equivalent Mg(2)Li2Mg8Cu2 cuboctahedra; edges with two equivalent Mg(3)Mg10Cu2 cuboctahedra; edges with four equivalent Li(1)Mg10Cu2 cuboctahedra; edges with four equivalent Mg(1)Li2Mg8Cu2 cuboctahedra; edges with four equivalent Cu(1)Li2Mg10 cuboctahedra; faces with two equivalent Li(1)Mg10Cu2 cuboctahedra; faces with two equivalent Mg(4)Li2Mg10 cuboctahedra; faces with two equivalent Mg(3)Mg10Cu2 cuboctahedra; faces with two equivalent Cu(1)Li2Mg10 cuboctahedra; faces with four equivalent Mg(2)Li2Mg8Cu2 cuboctahedra; and faces with eight Mg(1,1)Li2Mg8Cu2 cuboctahedra. In the third Mg site, Mg(3) is bonded to two equivalent Mg(4); four equivalent Mg(1); four Mg(2,2); and two equivalent Cu(1) atoms to form distorted MgMg10Cu2 cuboctahedra that share corners with four equivalent Mg(4)Li2Mg10 cuboctahedra; corners with six equivalent Mg(3)Mg10Cu2 cuboctahedra; corners with eight Mg(2,2)Li2Mg8Cu2 cuboctahedra; edges with two equivalent Mg(4)Li2Mg10 cuboctahedra; edges with four Mg(2,2)Li2Mg8Cu2 cuboctahedra; edges with four equivalent Cu(1)Li2Mg10 cuboctahedra; edges with eight Mg(1,1)Li2Mg8Cu2 cuboctahedra; faces with two equivalent Mg(4)Li2Mg10 cuboctahedra; faces with two equivalent Mg(3)Mg10Cu2 cuboctahedra; faces with two equivalent Cu(1)Li2Mg10 cuboctahedra; faces with four equivalent Mg(1)Li2Mg8Cu2 cuboctahedra; faces with four Mg(2,2)Li2Mg8Cu2 cuboctahedra; and faces with six equivalent Li(1)Mg10Cu2 cuboctahedra. In the fourth Mg site, Mg(4) is bonded to two equivalent Li(1); two equivalent Mg(3); four Mg(1,1); and four Mg(2,2) atoms to form distorted MgLi2Mg10 cuboctahedra that share corners with four equivalent Mg(3)Mg10Cu2 cuboctahedra; corners with six equivalent Mg(4)Li2Mg10 cuboctahedra; corners with eight Mg(2,2)Li2Mg8Cu2 cuboctahedra; edges with two equivalent Mg(3)Mg10Cu2 cuboctahedra; edges with four equivalent Li(1)Mg10Cu2 cuboctahedra; edges with four Mg(2,2)Li2Mg8Cu2 cuboctahedra; edges with eight Mg(1,1)Li2Mg8Cu2 cuboctahedra; faces with two equivalent Li(1)Mg10Cu2 cuboctahedra; faces with two equivalent Mg(4)Li2Mg10 cuboctahedra; faces with two equivalent Mg(3)Mg10Cu2 cuboctahedra; faces with four Mg(1,1)Li2Mg8Cu2 cuboctahedra; faces with four Mg(2,2)Li2Mg8Cu2 cuboctahedra; and faces with six equivalent Cu(1)Li2Mg10 cuboctahedra. In the fifth Mg site, Mg(1) is bonded to two equivalent Li(1), two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), and two equivalent Cu(1) atoms to form distorted MgLi2Mg8Cu2 cuboctahedra that share corners with four equivalent Li(1)Mg10Cu2 cuboctahedra; corners with four equivalent Cu(1)Li2Mg10 cuboctahedra; corners with ten Mg(1,1)Li2Mg8Cu2 cuboctahedra; edges with two equivalent Li(1)Mg10Cu2 cuboctahedra; edges with two equivalent Mg(1)Li2Mg8Cu2 cuboctahedra; edges with two equivalent Cu(1)Li2Mg10 cuboctahedra; edges with four equivalent Mg(4)Li2Mg10 cuboctahedra; edges with four equivalent Mg(2)Li2Mg8Cu2 cuboctahedra; edges with four equivalent Mg(3)Mg10Cu2 cuboctahedra; faces with two equivalent Li(1)Mg10Cu2 cuboctahedra; faces with two equivalent Mg(4)Li2Mg10 cuboctahedra; faces with two equivalent Mg(3)Mg10Cu2 cuboctahedra; faces with two equivalent Cu(1)Li2Mg10 cuboctahedra; faces with four Mg(1,1)Li2Mg8Cu2 cuboctahedra; and faces with eight Mg(2,2)Li2Mg8Cu2 cuboctahedra. In the sixth Mg site, Mg(2) is bonded to two equivalent Li(1), two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), and two equivalent Cu(1) atoms to form distorted MgLi2Mg8Cu2 cuboctahedra that share corners with four equivalent Mg(4)Li2Mg10 cuboctahedra; corners with four equivalent Mg(3)Mg10Cu2 cuboctahedra; corners with ten Mg(2,2)Li2Mg8Cu2 cuboctahedra; edges with two equivalent Mg(4)Li2Mg10 cuboctahedra; edges with two equivalent Mg(2)Li2Mg8Cu2 cuboctahedra; edges with two equivalent Mg(3)Mg10Cu2 cuboctahedra; edges with four equivalent Li(1)Mg10Cu2 cuboctahedra; edges with four equivalent Mg(1)Li2Mg8Cu2 cuboctahedra; edges with four equivalent Cu(1)Li2Mg10 cuboctahedra; faces with two equivalent Li(1)Mg10Cu2 cuboctahedra; faces with two equivalent Mg(4)Li2Mg10 cuboctahedra; faces with two equivalent Mg(3)Mg10Cu2 cuboctahedra; faces with two equivalent Cu(1)Li2Mg10 cuboctahedra; faces with four Mg(2,2)Li2Mg8Cu2 cuboctahedra; and faces with eight Mg(1,1)Li2Mg8Cu2 cuboctahedra. Cu(1) is bonded to two equivalent Li(1); two equivalent Mg(3); four Mg(1,1); and four Mg(2,2) atoms to form CuLi2Mg10 cuboctahedra that share corners with four equivalent Li(1)Mg10Cu2 cuboctahedra; corners with six equivalent Cu(1)Li2Mg10 cuboctahedra; corners with eight Mg(1,1)Li2Mg8Cu2 cuboctahedra; edges with two equivalent Li(1)Mg10Cu2 cuboctahedra; edges with four Mg(1,1)Li2Mg8Cu2 cuboctahedra; edges with four equivalent Mg(3)Mg10Cu2 cuboctahedra; edges with eight Mg(2,2)Li2Mg8Cu2 cuboctahedra; faces with two equivalent Li(1)Mg10Cu2 cuboctahedra; faces with two equivalent Mg(3)Mg10Cu2 cuboctahedra; faces with two equivalent Cu(1)Li2Mg10 cuboctahedra; faces with four Mg(1,1)Li2Mg8Cu2 cuboctahedra; faces with four Mg(2,2)Li2Mg8Cu2 cuboctahedra; and faces with six equivalent Mg(4)Li2Mg10 cuboctahedra. is represented by the CIF file [CIF]
data_LiMg6Cu
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   4.887
_cell_length_b   6.121
_cell_length_c   6.121
_cell_angle_alpha   118.822
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   160.414
_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  0.166  0.834  1.0
  Li  Li1  1  0.500  0.667  0.333  1.0
  Mg  Mg2  1  0.500  0.667  0.835  1.0
  Mg  Mg3  1  0.500  0.165  0.333  1.0
  Mg  Mg4  1  0.000  0.843  0.667  1.0
  Mg  Mg5  1  0.000  0.333  0.157  1.0
  Mg  Mg6  1  0.000  0.329  0.671  1.0
  Mg  Mg7  1  0.000  0.831  0.169  1.0
[/CIF]
.