The compound described by LiMg6Ga is beta Cu3Ti-derived structured and crystallizes in the orthorhombic Amm2 space group. Li(1) is bonded to two equivalent Mg(2); four Mg(1,1,1); four Mg(3,3); and two equivalent Ga(1) atoms to form LiMg10Ga2 cuboctahedra that share corners with four equivalent Mg(2)Li2Mg10 cuboctahedra; corners with six equivalent Li(1)Mg10Ga2 cuboctahedra; corners with eight Mg(1,1,1)Li2Mg8Ga2 cuboctahedra; edges with two equivalent Mg(2)Li2Mg10 cuboctahedra; edges with four Mg(1,1,1)Li2Mg8Ga2 cuboctahedra; edges with four equivalent Ga(1)Li2Mg10 cuboctahedra; edges with eight Mg(3,3,3)Li2Mg8Ga2 cuboctahedra; faces with two equivalent Li(1)Mg10Ga2 cuboctahedra; faces with two equivalent Mg(2)Li2Mg10 cuboctahedra; faces with two equivalent Ga(1)Li2Mg10 cuboctahedra; faces with four Mg(1,1,1)Li2Mg8Ga2 cuboctahedra; faces with four Mg(3,3)Li2Mg8Ga2 cuboctahedra; and faces with six equivalent Mg(4)Mg10Ga2 cuboctahedra. There are eight 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 Ga(1) atoms to form distorted MgLi2Mg8Ga2 cuboctahedra that share corners with four equivalent Li(1)Mg10Ga2 cuboctahedra; corners with four equivalent Mg(2)Li2Mg10 cuboctahedra; corners with ten Mg(1,1,1)Li2Mg8Ga2 cuboctahedra; edges with two equivalent Li(1)Mg10Ga2 cuboctahedra; edges with two equivalent Mg(2)Li2Mg10 cuboctahedra; edges with two equivalent Mg(1)Li2Mg8Ga2 cuboctahedra; edges with four equivalent Mg(3)Li2Mg8Ga2 cuboctahedra; edges with four equivalent Mg(4)Mg10Ga2 cuboctahedra; edges with four equivalent Ga(1)Li2Mg10 cuboctahedra; faces with two equivalent Li(1)Mg10Ga2 cuboctahedra; faces with two equivalent Mg(2)Li2Mg10 cuboctahedra; faces with two equivalent Mg(4)Mg10Ga2 cuboctahedra; faces with two equivalent Ga(1)Li2Mg10 cuboctahedra; faces with four Mg(1,1)Li2Mg8Ga2 cuboctahedra; and faces with eight Mg(3,3)Li2Mg8Ga2 cuboctahedra. In the second 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 Ga(1) atoms to form distorted MgLi2Mg8Ga2 cuboctahedra that share corners with four equivalent Li(1)Mg10Ga2 cuboctahedra; corners with four equivalent Mg(2)Li2Mg10 cuboctahedra; corners with ten Mg(1,1)Li2Mg8Ga2 cuboctahedra; edges with two equivalent Li(1)Mg10Ga2 cuboctahedra; edges with two equivalent Mg(2)Li2Mg10 cuboctahedra; edges with two equivalent Mg(1)Li2Mg8Ga2 cuboctahedra; edges with four equivalent Mg(3)Li2Mg8Ga2 cuboctahedra; edges with four equivalent Mg(4)Mg10Ga2 cuboctahedra; edges with four equivalent Ga(1)Li2Mg10 cuboctahedra; faces with two equivalent Li(1)Mg10Ga2 cuboctahedra; faces with two equivalent Mg(2)Li2Mg10 cuboctahedra; faces with two equivalent Mg(4)Mg10Ga2 cuboctahedra; faces with two equivalent Ga(1)Li2Mg10 cuboctahedra; faces with four Mg(1,1)Li2Mg8Ga2 cuboctahedra; and faces with eight Mg(3,3,3)Li2Mg8Ga2 cuboctahedra. In the third Mg site, Mg(2) is bonded to two equivalent Li(1); two equivalent Mg(4); four Mg(1,1,1); and four Mg(3,3) atoms to form MgLi2Mg10 cuboctahedra that share corners with four equivalent Li(1)Mg10Ga2 cuboctahedra; corners with six equivalent Mg(2)Li2Mg10 cuboctahedra; corners with eight Mg(1,1,1)Li2Mg8Ga2 cuboctahedra; edges with two equivalent Li(1)Mg10Ga2 cuboctahedra; edges with four Mg(1,1,1)Li2Mg8Ga2 cuboctahedra; edges with four equivalent Mg(4)Mg10Ga2 cuboctahedra; edges with eight Mg(3,3,3)Li2Mg8Ga2 cuboctahedra; faces with two equivalent Li(1)Mg10Ga2 cuboctahedra; faces with two equivalent Mg(2)Li2Mg10 cuboctahedra; faces with two equivalent Mg(4)Mg10Ga2 cuboctahedra; faces with four Mg(1,1,1)Li2Mg8Ga2 cuboctahedra; faces with four Mg(3,3)Li2Mg8Ga2 cuboctahedra; and faces with six equivalent Ga(1)Li2Mg10 cuboctahedra. In the fourth Mg site, Mg(3) 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 Ga(1) atoms to form distorted MgLi2Mg8Ga2 cuboctahedra that share corners with four equivalent Mg(4)Mg10Ga2 cuboctahedra; corners with four equivalent Ga(1)Li2Mg10 cuboctahedra; corners with ten Mg(3,3)Li2Mg8Ga2 cuboctahedra; edges with two equivalent Mg(3)Li2Mg8Ga2 cuboctahedra; edges with two equivalent Mg(4)Mg10Ga2 cuboctahedra; edges with two equivalent Ga(1)Li2Mg10 cuboctahedra; edges with four equivalent Li(1)Mg10Ga2 cuboctahedra; edges with four equivalent Mg(2)Li2Mg10 cuboctahedra; edges with four equivalent Mg(1)Li2Mg8Ga2 cuboctahedra; faces with two equivalent Li(1)Mg10Ga2 cuboctahedra; faces with two equivalent Mg(2)Li2Mg10 cuboctahedra; faces with two equivalent Mg(4)Mg10Ga2 cuboctahedra; faces with two equivalent Ga(1)Li2Mg10 cuboctahedra; faces with four Mg(3,3)Li2Mg8Ga2 cuboctahedra; and faces with eight Mg(1,1)Li2Mg8Ga2 cuboctahedra. In the fifth Mg site, Mg(3) 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 Ga(1) atoms to form distorted MgLi2Mg8Ga2 cuboctahedra that share corners with four equivalent Mg(4)Mg10Ga2 cuboctahedra; corners with four equivalent Ga(1)Li2Mg10 cuboctahedra; corners with ten Mg(3,3,3)Li2Mg8Ga2 cuboctahedra; edges with two equivalent Mg(3)Li2Mg8Ga2 cuboctahedra; edges with two equivalent Mg(4)Mg10Ga2 cuboctahedra; edges with two equivalent Ga(1)Li2Mg10 cuboctahedra; edges with four equivalent Li(1)Mg10Ga2 cuboctahedra; edges with four equivalent Mg(2)Li2Mg10 cuboctahedra; edges with four equivalent Mg(1)Li2Mg8Ga2 cuboctahedra; faces with two equivalent Li(1)Mg10Ga2 cuboctahedra; faces with two equivalent Mg(2)Li2Mg10 cuboctahedra; faces with two equivalent Mg(4)Mg10Ga2 cuboctahedra; faces with two equivalent Ga(1)Li2Mg10 cuboctahedra; faces with four Mg(3,3)Li2Mg8Ga2 cuboctahedra; and faces with eight Mg(1,1,1)Li2Mg8Ga2 cuboctahedra. In the sixth Mg site, Mg(4) is bonded to two equivalent Mg(2); four Mg(1,1); four Mg(3,3,3); and two equivalent Ga(1) atoms to form distorted MgMg10Ga2 cuboctahedra that share corners with four equivalent Ga(1)Li2Mg10 cuboctahedra; corners with six equivalent Mg(4)Mg10Ga2 cuboctahedra; corners with eight Mg(3,3,3)Li2Mg8Ga2 cuboctahedra; edges with two equivalent Ga(1)Li2Mg10 cuboctahedra; edges with four equivalent Mg(2)Li2Mg10 cuboctahedra; edges with four Mg(3,3,3)Li2Mg8Ga2 cuboctahedra; edges with eight Mg(1,1,1)Li2Mg8Ga2 cuboctahedra; faces with two equivalent Mg(2)Li2Mg10 cuboctahedra; faces with two equivalent Mg(4)Mg10Ga2 cuboctahedra; faces with two equivalent Ga(1)Li2Mg10 cuboctahedra; faces with four Mg(1,1)Li2Mg8Ga2 cuboctahedra; faces with four Mg(3,3,3)Li2Mg8Ga2 cuboctahedra; and faces with six equivalent Li(1)Mg10Ga2 cuboctahedra. In the seventh 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 Ga(1) atoms to form distorted MgLi2Mg8Ga2 cuboctahedra that share corners with four equivalent Li(1)Mg10Ga2 cuboctahedra; corners with four equivalent Mg(2)Li2Mg10 cuboctahedra; corners with ten Mg(1,1,1)Li2Mg8Ga2 cuboctahedra; edges with two equivalent Li(1)Mg10Ga2 cuboctahedra; edges with two equivalent Mg(2)Li2Mg10 cuboctahedra; edges with two equivalent Mg(1)Li2Mg8Ga2 cuboctahedra; edges with four equivalent Mg(3)Li2Mg8Ga2 cuboctahedra; edges with four equivalent Mg(4)Mg10Ga2 cuboctahedra; edges with four equivalent Ga(1)Li2Mg10 cuboctahedra; faces with two equivalent Li(1)Mg10Ga2 cuboctahedra; faces with two equivalent Mg(2)Li2Mg10 cuboctahedra; faces with two equivalent Mg(4)Mg10Ga2 cuboctahedra; faces with two equivalent Ga(1)Li2Mg10 cuboctahedra; faces with four Mg(1,1)Li2Mg8Ga2 cuboctahedra; and faces with eight Mg(3,3,3)Li2Mg8Ga2 cuboctahedra. In the eighth Mg site, Mg(3) 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 Ga(1) atoms to form distorted MgLi2Mg8Ga2 cuboctahedra that share corners with four equivalent Mg(4)Mg10Ga2 cuboctahedra; corners with four equivalent Ga(1)Li2Mg10 cuboctahedra; corners with ten Mg(3,3)Li2Mg8Ga2 cuboctahedra; edges with two equivalent Mg(3)Li2Mg8Ga2 cuboctahedra; edges with two equivalent Mg(4)Mg10Ga2 cuboctahedra; edges with two equivalent Ga(1)Li2Mg10 cuboctahedra; edges with four equivalent Li(1)Mg10Ga2 cuboctahedra; edges with four equivalent Mg(2)Li2Mg10 cuboctahedra; edges with four equivalent Mg(1)Li2Mg8Ga2 cuboctahedra; faces with two equivalent Li(1)Mg10Ga2 cuboctahedra; faces with two equivalent Mg(2)Li2Mg10 cuboctahedra; faces with two equivalent Mg(4)Mg10Ga2 cuboctahedra; faces with two equivalent Ga(1)Li2Mg10 cuboctahedra; faces with four Mg(3,3)Li2Mg8Ga2 cuboctahedra; and faces with eight Mg(1,1,1)Li2Mg8Ga2 cuboctahedra. Ga(1) is bonded to two equivalent Li(1); two equivalent Mg(4); four Mg(1,1); and four Mg(3,3,3) atoms to form GaLi2Mg10 cuboctahedra that share corners with four equivalent Mg(4)Mg10Ga2 cuboctahedra; corners with six equivalent Ga(1)Li2Mg10 cuboctahedra; corners with eight Mg(3,3,3)Li2Mg8Ga2 cuboctahedra; edges with two equivalent Mg(4)Mg10Ga2 cuboctahedra; edges with four equivalent Li(1)Mg10Ga2 cuboctahedra; edges with four Mg(3,3,3)Li2Mg8Ga2 cuboctahedra; edges with eight Mg(1,1,1)Li2Mg8Ga2 cuboctahedra; faces with two equivalent Li(1)Mg10Ga2 cuboctahedra; faces with two equivalent Mg(4)Mg10Ga2 cuboctahedra; faces with two equivalent Ga(1)Li2Mg10 cuboctahedra; faces with four Mg(1,1)Li2Mg8Ga2 cuboctahedra; faces with four Mg(3,3,3)Li2Mg8Ga2 cuboctahedra; and faces with six equivalent Mg(2)Li2Mg10 cuboctahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_LiMg6Ga
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.224
_cell_length_b   6.224
_cell_length_c   5.061
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   120.083
_symmetry_Int_Tables_number   1
_cell_volume   169.676
_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
  Li  Li0  1  0.168  0.832  0.000  1.0
  Mg  Mg1  1  0.169  0.339  0.000  1.0
  Mg  Mg2  1  0.661  0.831  0.000  1.0
  Mg  Mg3  1  0.666  0.334  0.000  1.0
  Mg  Mg4  1  0.333  0.164  0.500  1.0
  Mg  Mg5  1  0.836  0.667  0.500  1.0
  Mg  Mg6  1  0.833  0.167  0.500  1.0
  Ga  Ga7  1  0.333  0.667  0.500  1.0
[/CIF]
.
The compound described by LiMg6Ga is beta Cu3Ti-derived structured and crystallizes in the orthorhombic Amm2 space group. Li(1) is bonded to two equivalent Mg(2); four Mg(1,1,1); four Mg(3,3); and two equivalent Ga(1) atoms to form LiMg10Ga2 cuboctahedra that share corners with four equivalent Mg(2)Li2Mg10 cuboctahedra; corners with six equivalent Li(1)Mg10Ga2 cuboctahedra; corners with eight Mg(1,1,1)Li2Mg8Ga2 cuboctahedra; edges with two equivalent Mg(2)Li2Mg10 cuboctahedra; edges with four Mg(1,1,1)Li2Mg8Ga2 cuboctahedra; edges with four equivalent Ga(1)Li2Mg10 cuboctahedra; edges with eight Mg(3,3,3)Li2Mg8Ga2 cuboctahedra; faces with two equivalent Li(1)Mg10Ga2 cuboctahedra; faces with two equivalent Mg(2)Li2Mg10 cuboctahedra; faces with two equivalent Ga(1)Li2Mg10 cuboctahedra; faces with four Mg(1,1,1)Li2Mg8Ga2 cuboctahedra; faces with four Mg(3,3)Li2Mg8Ga2 cuboctahedra; and faces with six equivalent Mg(4)Mg10Ga2 cuboctahedra. There are eight 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 Ga(1) atoms to form distorted MgLi2Mg8Ga2 cuboctahedra that share corners with four equivalent Li(1)Mg10Ga2 cuboctahedra; corners with four equivalent Mg(2)Li2Mg10 cuboctahedra; corners with ten Mg(1,1,1)Li2Mg8Ga2 cuboctahedra; edges with two equivalent Li(1)Mg10Ga2 cuboctahedra; edges with two equivalent Mg(2)Li2Mg10 cuboctahedra; edges with two equivalent Mg(1)Li2Mg8Ga2 cuboctahedra; edges with four equivalent Mg(3)Li2Mg8Ga2 cuboctahedra; edges with four equivalent Mg(4)Mg10Ga2 cuboctahedra; edges with four equivalent Ga(1)Li2Mg10 cuboctahedra; faces with two equivalent Li(1)Mg10Ga2 cuboctahedra; faces with two equivalent Mg(2)Li2Mg10 cuboctahedra; faces with two equivalent Mg(4)Mg10Ga2 cuboctahedra; faces with two equivalent Ga(1)Li2Mg10 cuboctahedra; faces with four Mg(1,1)Li2Mg8Ga2 cuboctahedra; and faces with eight Mg(3,3)Li2Mg8Ga2 cuboctahedra. In the second 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 Ga(1) atoms to form distorted MgLi2Mg8Ga2 cuboctahedra that share corners with four equivalent Li(1)Mg10Ga2 cuboctahedra; corners with four equivalent Mg(2)Li2Mg10 cuboctahedra; corners with ten Mg(1,1)Li2Mg8Ga2 cuboctahedra; edges with two equivalent Li(1)Mg10Ga2 cuboctahedra; edges with two equivalent Mg(2)Li2Mg10 cuboctahedra; edges with two equivalent Mg(1)Li2Mg8Ga2 cuboctahedra; edges with four equivalent Mg(3)Li2Mg8Ga2 cuboctahedra; edges with four equivalent Mg(4)Mg10Ga2 cuboctahedra; edges with four equivalent Ga(1)Li2Mg10 cuboctahedra; faces with two equivalent Li(1)Mg10Ga2 cuboctahedra; faces with two equivalent Mg(2)Li2Mg10 cuboctahedra; faces with two equivalent Mg(4)Mg10Ga2 cuboctahedra; faces with two equivalent Ga(1)Li2Mg10 cuboctahedra; faces with four Mg(1,1)Li2Mg8Ga2 cuboctahedra; and faces with eight Mg(3,3,3)Li2Mg8Ga2 cuboctahedra. In the third Mg site, Mg(2) is bonded to two equivalent Li(1); two equivalent Mg(4); four Mg(1,1,1); and four Mg(3,3) atoms to form MgLi2Mg10 cuboctahedra that share corners with four equivalent Li(1)Mg10Ga2 cuboctahedra; corners with six equivalent Mg(2)Li2Mg10 cuboctahedra; corners with eight Mg(1,1,1)Li2Mg8Ga2 cuboctahedra; edges with two equivalent Li(1)Mg10Ga2 cuboctahedra; edges with four Mg(1,1,1)Li2Mg8Ga2 cuboctahedra; edges with four equivalent Mg(4)Mg10Ga2 cuboctahedra; edges with eight Mg(3,3,3)Li2Mg8Ga2 cuboctahedra; faces with two equivalent Li(1)Mg10Ga2 cuboctahedra; faces with two equivalent Mg(2)Li2Mg10 cuboctahedra; faces with two equivalent Mg(4)Mg10Ga2 cuboctahedra; faces with four Mg(1,1,1)Li2Mg8Ga2 cuboctahedra; faces with four Mg(3,3)Li2Mg8Ga2 cuboctahedra; and faces with six equivalent Ga(1)Li2Mg10 cuboctahedra. In the fourth Mg site, Mg(3) 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 Ga(1) atoms to form distorted MgLi2Mg8Ga2 cuboctahedra that share corners with four equivalent Mg(4)Mg10Ga2 cuboctahedra; corners with four equivalent Ga(1)Li2Mg10 cuboctahedra; corners with ten Mg(3,3)Li2Mg8Ga2 cuboctahedra; edges with two equivalent Mg(3)Li2Mg8Ga2 cuboctahedra; edges with two equivalent Mg(4)Mg10Ga2 cuboctahedra; edges with two equivalent Ga(1)Li2Mg10 cuboctahedra; edges with four equivalent Li(1)Mg10Ga2 cuboctahedra; edges with four equivalent Mg(2)Li2Mg10 cuboctahedra; edges with four equivalent Mg(1)Li2Mg8Ga2 cuboctahedra; faces with two equivalent Li(1)Mg10Ga2 cuboctahedra; faces with two equivalent Mg(2)Li2Mg10 cuboctahedra; faces with two equivalent Mg(4)Mg10Ga2 cuboctahedra; faces with two equivalent Ga(1)Li2Mg10 cuboctahedra; faces with four Mg(3,3)Li2Mg8Ga2 cuboctahedra; and faces with eight Mg(1,1)Li2Mg8Ga2 cuboctahedra. In the fifth Mg site, Mg(3) 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 Ga(1) atoms to form distorted MgLi2Mg8Ga2 cuboctahedra that share corners with four equivalent Mg(4)Mg10Ga2 cuboctahedra; corners with four equivalent Ga(1)Li2Mg10 cuboctahedra; corners with ten Mg(3,3,3)Li2Mg8Ga2 cuboctahedra; edges with two equivalent Mg(3)Li2Mg8Ga2 cuboctahedra; edges with two equivalent Mg(4)Mg10Ga2 cuboctahedra; edges with two equivalent Ga(1)Li2Mg10 cuboctahedra; edges with four equivalent Li(1)Mg10Ga2 cuboctahedra; edges with four equivalent Mg(2)Li2Mg10 cuboctahedra; edges with four equivalent Mg(1)Li2Mg8Ga2 cuboctahedra; faces with two equivalent Li(1)Mg10Ga2 cuboctahedra; faces with two equivalent Mg(2)Li2Mg10 cuboctahedra; faces with two equivalent Mg(4)Mg10Ga2 cuboctahedra; faces with two equivalent Ga(1)Li2Mg10 cuboctahedra; faces with four Mg(3,3)Li2Mg8Ga2 cuboctahedra; and faces with eight Mg(1,1,1)Li2Mg8Ga2 cuboctahedra. In the sixth Mg site, Mg(4) is bonded to two equivalent Mg(2); four Mg(1,1); four Mg(3,3,3); and two equivalent Ga(1) atoms to form distorted MgMg10Ga2 cuboctahedra that share corners with four equivalent Ga(1)Li2Mg10 cuboctahedra; corners with six equivalent Mg(4)Mg10Ga2 cuboctahedra; corners with eight Mg(3,3,3)Li2Mg8Ga2 cuboctahedra; edges with two equivalent Ga(1)Li2Mg10 cuboctahedra; edges with four equivalent Mg(2)Li2Mg10 cuboctahedra; edges with four Mg(3,3,3)Li2Mg8Ga2 cuboctahedra; edges with eight Mg(1,1,1)Li2Mg8Ga2 cuboctahedra; faces with two equivalent Mg(2)Li2Mg10 cuboctahedra; faces with two equivalent Mg(4)Mg10Ga2 cuboctahedra; faces with two equivalent Ga(1)Li2Mg10 cuboctahedra; faces with four Mg(1,1)Li2Mg8Ga2 cuboctahedra; faces with four Mg(3,3,3)Li2Mg8Ga2 cuboctahedra; and faces with six equivalent Li(1)Mg10Ga2 cuboctahedra. In the seventh 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 Ga(1) atoms to form distorted MgLi2Mg8Ga2 cuboctahedra that share corners with four equivalent Li(1)Mg10Ga2 cuboctahedra; corners with four equivalent Mg(2)Li2Mg10 cuboctahedra; corners with ten Mg(1,1,1)Li2Mg8Ga2 cuboctahedra; edges with two equivalent Li(1)Mg10Ga2 cuboctahedra; edges with two equivalent Mg(2)Li2Mg10 cuboctahedra; edges with two equivalent Mg(1)Li2Mg8Ga2 cuboctahedra; edges with four equivalent Mg(3)Li2Mg8Ga2 cuboctahedra; edges with four equivalent Mg(4)Mg10Ga2 cuboctahedra; edges with four equivalent Ga(1)Li2Mg10 cuboctahedra; faces with two equivalent Li(1)Mg10Ga2 cuboctahedra; faces with two equivalent Mg(2)Li2Mg10 cuboctahedra; faces with two equivalent Mg(4)Mg10Ga2 cuboctahedra; faces with two equivalent Ga(1)Li2Mg10 cuboctahedra; faces with four Mg(1,1)Li2Mg8Ga2 cuboctahedra; and faces with eight Mg(3,3,3)Li2Mg8Ga2 cuboctahedra. In the eighth Mg site, Mg(3) 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 Ga(1) atoms to form distorted MgLi2Mg8Ga2 cuboctahedra that share corners with four equivalent Mg(4)Mg10Ga2 cuboctahedra; corners with four equivalent Ga(1)Li2Mg10 cuboctahedra; corners with ten Mg(3,3)Li2Mg8Ga2 cuboctahedra; edges with two equivalent Mg(3)Li2Mg8Ga2 cuboctahedra; edges with two equivalent Mg(4)Mg10Ga2 cuboctahedra; edges with two equivalent Ga(1)Li2Mg10 cuboctahedra; edges with four equivalent Li(1)Mg10Ga2 cuboctahedra; edges with four equivalent Mg(2)Li2Mg10 cuboctahedra; edges with four equivalent Mg(1)Li2Mg8Ga2 cuboctahedra; faces with two equivalent Li(1)Mg10Ga2 cuboctahedra; faces with two equivalent Mg(2)Li2Mg10 cuboctahedra; faces with two equivalent Mg(4)Mg10Ga2 cuboctahedra; faces with two equivalent Ga(1)Li2Mg10 cuboctahedra; faces with four Mg(3,3)Li2Mg8Ga2 cuboctahedra; and faces with eight Mg(1,1,1)Li2Mg8Ga2 cuboctahedra. Ga(1) is bonded to two equivalent Li(1); two equivalent Mg(4); four Mg(1,1); and four Mg(3,3,3) atoms to form GaLi2Mg10 cuboctahedra that share corners with four equivalent Mg(4)Mg10Ga2 cuboctahedra; corners with six equivalent Ga(1)Li2Mg10 cuboctahedra; corners with eight Mg(3,3,3)Li2Mg8Ga2 cuboctahedra; edges with two equivalent Mg(4)Mg10Ga2 cuboctahedra; edges with four equivalent Li(1)Mg10Ga2 cuboctahedra; edges with four Mg(3,3,3)Li2Mg8Ga2 cuboctahedra; edges with eight Mg(1,1,1)Li2Mg8Ga2 cuboctahedra; faces with two equivalent Li(1)Mg10Ga2 cuboctahedra; faces with two equivalent Mg(4)Mg10Ga2 cuboctahedra; faces with two equivalent Ga(1)Li2Mg10 cuboctahedra; faces with four Mg(1,1)Li2Mg8Ga2 cuboctahedra; faces with four Mg(3,3,3)Li2Mg8Ga2 cuboctahedra; and faces with six equivalent Mg(2)Li2Mg10 cuboctahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_LiMg6Ga
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.224
_cell_length_b   6.224
_cell_length_c   5.061
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   120.083
_symmetry_Int_Tables_number   1
_cell_volume   169.676
_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
  Li  Li0  1  0.168  0.832  0.000  1.0
  Mg  Mg1  1  0.169  0.339  0.000  1.0
  Mg  Mg2  1  0.661  0.831  0.000  1.0
  Mg  Mg3  1  0.666  0.334  0.000  1.0
  Mg  Mg4  1  0.333  0.164  0.500  1.0
  Mg  Mg5  1  0.836  0.667  0.500  1.0
  Mg  Mg6  1  0.833  0.167  0.500  1.0
  Ga  Ga7  1  0.333  0.667  0.500  1.0
[/CIF]
.