The structure described by Mg6GaSn crystallizes in the orthorhombic Amm2 space group. There are seven 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 Ga(1), and two equivalent Sn(1) atoms to form distorted MgMg8Ga2Sn2 cuboctahedra that share corners with four equivalent Ga(1)Mg10Sn2 cuboctahedra; corners with four equivalent Sn(1)Mg10Ga2 cuboctahedra; corners with ten Mg(1,1)Mg8Ga2Sn2 cuboctahedra; edges with two equivalent Mg(1)Mg8Ga2Sn2 cuboctahedra; edges with two equivalent Ga(1)Mg10Sn2 cuboctahedra; edges with two equivalent Sn(1)Mg10Ga2 cuboctahedra; edges with four equivalent Mg(4)Mg10Ga2 cuboctahedra; edges with four equivalent Mg(3)Mg10Sn2 cuboctahedra; edges with four equivalent Mg(2)Mg8Ga2Sn2 cuboctahedra; faces with two equivalent Mg(4)Mg10Ga2 cuboctahedra; faces with two equivalent Mg(3)Mg10Sn2 cuboctahedra; faces with two equivalent Ga(1)Mg10Sn2 cuboctahedra; faces with two equivalent Sn(1)Mg10Ga2 cuboctahedra; faces with four Mg(1,1)Mg8Ga2Sn2 cuboctahedra; and faces with eight Mg(2,2,2)Mg8Ga2Sn2 cuboctahedra. In the second 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 Ga(1), and two equivalent Sn(1) atoms to form distorted MgMg8Ga2Sn2 cuboctahedra that share corners with four equivalent Ga(1)Mg10Sn2 cuboctahedra; corners with four equivalent Sn(1)Mg10Ga2 cuboctahedra; corners with ten Mg(1,1)Mg8Ga2Sn2 cuboctahedra; edges with two equivalent Mg(1)Mg8Ga2Sn2 cuboctahedra; edges with two equivalent Ga(1)Mg10Sn2 cuboctahedra; edges with two equivalent Sn(1)Mg10Ga2 cuboctahedra; edges with four equivalent Mg(4)Mg10Ga2 cuboctahedra; edges with four equivalent Mg(3)Mg10Sn2 cuboctahedra; edges with four equivalent Mg(2)Mg8Ga2Sn2 cuboctahedra; faces with two equivalent Mg(4)Mg10Ga2 cuboctahedra; faces with two equivalent Mg(3)Mg10Sn2 cuboctahedra; faces with two equivalent Ga(1)Mg10Sn2 cuboctahedra; faces with two equivalent Sn(1)Mg10Ga2 cuboctahedra; faces with four Mg(1,1)Mg8Ga2Sn2 cuboctahedra; and faces with eight Mg(2,2)Mg8Ga2Sn2 cuboctahedra. In the third Mg site, Mg(2) is bonded to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), two equivalent Ga(1), and two equivalent Sn(1) atoms to form distorted MgMg8Ga2Sn2 cuboctahedra that share corners with four equivalent Mg(4)Mg10Ga2 cuboctahedra; corners with four equivalent Mg(3)Mg10Sn2 cuboctahedra; corners with ten Mg(2,2)Mg8Ga2Sn2 cuboctahedra; edges with two equivalent Mg(4)Mg10Ga2 cuboctahedra; edges with two equivalent Mg(3)Mg10Sn2 cuboctahedra; edges with two equivalent Mg(2)Mg8Ga2Sn2 cuboctahedra; edges with four equivalent Mg(1)Mg8Ga2Sn2 cuboctahedra; edges with four equivalent Ga(1)Mg10Sn2 cuboctahedra; edges with four equivalent Sn(1)Mg10Ga2 cuboctahedra; faces with two equivalent Mg(4)Mg10Ga2 cuboctahedra; faces with two equivalent Mg(3)Mg10Sn2 cuboctahedra; faces with two equivalent Ga(1)Mg10Sn2 cuboctahedra; faces with two equivalent Sn(1)Mg10Ga2 cuboctahedra; faces with four Mg(2,2)Mg8Ga2Sn2 cuboctahedra; and faces with eight Mg(1,1)Mg8Ga2Sn2 cuboctahedra. In the fourth Mg site, Mg(2) is bonded to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), two equivalent Ga(1), and two equivalent Sn(1) atoms to form distorted MgMg8Ga2Sn2 cuboctahedra that share corners with four equivalent Mg(4)Mg10Ga2 cuboctahedra; corners with four equivalent Mg(3)Mg10Sn2 cuboctahedra; corners with ten Mg(2,2,2)Mg8Ga2Sn2 cuboctahedra; edges with two equivalent Mg(4)Mg10Ga2 cuboctahedra; edges with two equivalent Mg(3)Mg10Sn2 cuboctahedra; edges with two equivalent Mg(2)Mg8Ga2Sn2 cuboctahedra; edges with four equivalent Mg(1)Mg8Ga2Sn2 cuboctahedra; edges with four equivalent Ga(1)Mg10Sn2 cuboctahedra; edges with four equivalent Sn(1)Mg10Ga2 cuboctahedra; faces with two equivalent Mg(4)Mg10Ga2 cuboctahedra; faces with two equivalent Mg(3)Mg10Sn2 cuboctahedra; faces with two equivalent Ga(1)Mg10Sn2 cuboctahedra; faces with two equivalent Sn(1)Mg10Ga2 cuboctahedra; faces with four Mg(2,2)Mg8Ga2Sn2 cuboctahedra; and faces with eight Mg(1,1)Mg8Ga2Sn2 cuboctahedra. In the fifth Mg site, Mg(3) is bonded to two equivalent Mg(4); four Mg(1,1); four Mg(2,2,2); and two equivalent Sn(1) atoms to form distorted MgMg10Sn2 cuboctahedra that share corners with four equivalent Mg(4)Mg10Ga2 cuboctahedra; corners with six equivalent Mg(3)Mg10Sn2 cuboctahedra; corners with eight Mg(2,2,2)Mg8Ga2Sn2 cuboctahedra; edges with two equivalent Mg(4)Mg10Ga2 cuboctahedra; edges with four Mg(2,2,2)Mg8Ga2Sn2 cuboctahedra; edges with four equivalent Sn(1)Mg10Ga2 cuboctahedra; edges with eight Mg(1,1)Mg8Ga2Sn2 cuboctahedra; faces with two equivalent Mg(4)Mg10Ga2 cuboctahedra; faces with two equivalent Mg(3)Mg10Sn2 cuboctahedra; faces with two equivalent Sn(1)Mg10Ga2 cuboctahedra; faces with four Mg(1,1)Mg8Ga2Sn2 cuboctahedra; faces with four Mg(2,2,2)Mg8Ga2Sn2 cuboctahedra; and faces with six equivalent Ga(1)Mg10Sn2 cuboctahedra. In the sixth Mg site, Mg(4) is bonded to two equivalent Mg(3); four Mg(1,1); four Mg(2,2,2); and two equivalent Ga(1) atoms to form distorted MgMg10Ga2 cuboctahedra that share corners with four equivalent Mg(3)Mg10Sn2 cuboctahedra; corners with six equivalent Mg(4)Mg10Ga2 cuboctahedra; corners with eight Mg(2,2,2)Mg8Ga2Sn2 cuboctahedra; edges with two equivalent Mg(3)Mg10Sn2 cuboctahedra; edges with four Mg(2,2,2)Mg8Ga2Sn2 cuboctahedra; edges with four equivalent Ga(1)Mg10Sn2 cuboctahedra; edges with eight Mg(1,1)Mg8Ga2Sn2 cuboctahedra; faces with two equivalent Mg(4)Mg10Ga2 cuboctahedra; faces with two equivalent Mg(3)Mg10Sn2 cuboctahedra; faces with two equivalent Ga(1)Mg10Sn2 cuboctahedra; faces with four Mg(1,1)Mg8Ga2Sn2 cuboctahedra; faces with four Mg(2,2,2)Mg8Ga2Sn2 cuboctahedra; and faces with six equivalent Sn(1)Mg10Ga2 cuboctahedra. In the seventh Mg site, Mg(2) is bonded to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), two equivalent Ga(1), and two equivalent Sn(1) atoms to form distorted MgMg8Ga2Sn2 cuboctahedra that share corners with four equivalent Mg(4)Mg10Ga2 cuboctahedra; corners with four equivalent Mg(3)Mg10Sn2 cuboctahedra; corners with ten Mg(2,2)Mg8Ga2Sn2 cuboctahedra; edges with two equivalent Mg(4)Mg10Ga2 cuboctahedra; edges with two equivalent Mg(3)Mg10Sn2 cuboctahedra; edges with two equivalent Mg(2)Mg8Ga2Sn2 cuboctahedra; edges with four equivalent Mg(1)Mg8Ga2Sn2 cuboctahedra; edges with four equivalent Ga(1)Mg10Sn2 cuboctahedra; edges with four equivalent Sn(1)Mg10Ga2 cuboctahedra; faces with two equivalent Mg(4)Mg10Ga2 cuboctahedra; faces with two equivalent Mg(3)Mg10Sn2 cuboctahedra; faces with two equivalent Ga(1)Mg10Sn2 cuboctahedra; faces with two equivalent Sn(1)Mg10Ga2 cuboctahedra; faces with four Mg(2,2)Mg8Ga2Sn2 cuboctahedra; and faces with eight Mg(1,1)Mg8Ga2Sn2 cuboctahedra. Ga(1) is bonded to two equivalent Mg(4); four Mg(1,1); four Mg(2,2); and two equivalent Sn(1) atoms to form GaMg10Sn2 cuboctahedra that share corners with four equivalent Sn(1)Mg10Ga2 cuboctahedra; corners with six equivalent Ga(1)Mg10Sn2 cuboctahedra; corners with eight Mg(1,1)Mg8Ga2Sn2 cuboctahedra; edges with two equivalent Sn(1)Mg10Ga2 cuboctahedra; edges with four equivalent Mg(4)Mg10Ga2 cuboctahedra; edges with four Mg(1,1)Mg8Ga2Sn2 cuboctahedra; edges with eight Mg(2,2,2)Mg8Ga2Sn2 cuboctahedra; faces with two equivalent Mg(4)Mg10Ga2 cuboctahedra; faces with two equivalent Ga(1)Mg10Sn2 cuboctahedra; faces with two equivalent Sn(1)Mg10Ga2 cuboctahedra; faces with four Mg(1,1)Mg8Ga2Sn2 cuboctahedra; faces with four Mg(2,2)Mg8Ga2Sn2 cuboctahedra; and faces with six equivalent Mg(3)Mg10Sn2 cuboctahedra. Sn(1) is bonded to two equivalent Mg(3); four Mg(1,1); four Mg(2,2); and two equivalent Ga(1) atoms to form SnMg10Ga2 cuboctahedra that share corners with four equivalent Ga(1)Mg10Sn2 cuboctahedra; corners with six equivalent Sn(1)Mg10Ga2 cuboctahedra; corners with eight Mg(1,1)Mg8Ga2Sn2 cuboctahedra; edges with two equivalent Ga(1)Mg10Sn2 cuboctahedra; edges with four equivalent Mg(3)Mg10Sn2 cuboctahedra; edges with four Mg(1,1)Mg8Ga2Sn2 cuboctahedra; edges with eight Mg(2,2,2)Mg8Ga2Sn2 cuboctahedra; faces with two equivalent Mg(3)Mg10Sn2 cuboctahedra; faces with two equivalent Ga(1)Mg10Sn2 cuboctahedra; faces with two equivalent Sn(1)Mg10Ga2 cuboctahedra; faces with four Mg(1,1)Mg8Ga2Sn2 cuboctahedra; faces with four Mg(2,2)Mg8Ga2Sn2 cuboctahedra; and faces with six equivalent Mg(4)Mg10Ga2 cuboctahedra. is represented by the CIF file [CIF]
data_Mg6GaSn
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.189
_cell_length_b   6.255
_cell_length_c   6.255
_cell_angle_alpha   118.643
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   178.187
_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
  Ga  Ga0  1  0.500  0.667  0.333  1.0
  Mg  Mg1  1  0.500  0.667  0.834  1.0
  Mg  Mg2  1  0.500  0.166  0.333  1.0
  Mg  Mg3  1  0.000  0.830  0.663  1.0
  Mg  Mg4  1  0.000  0.337  0.170  1.0
  Mg  Mg5  1  0.000  0.334  0.666  1.0
  Mg  Mg6  1  0.000  0.832  0.168  1.0
  Sn  Sn7  1  0.500  0.167  0.833  1.0
[/CIF]
.
The structure described by Mg6GaSn crystallizes in the orthorhombic Amm2 space group. There are seven 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 Ga(1), and two equivalent Sn(1) atoms to form distorted MgMg8Ga2Sn2 cuboctahedra that share corners with four equivalent Ga(1)Mg10Sn2 cuboctahedra; corners with four equivalent Sn(1)Mg10Ga2 cuboctahedra; corners with ten Mg(1,1)Mg8Ga2Sn2 cuboctahedra; edges with two equivalent Mg(1)Mg8Ga2Sn2 cuboctahedra; edges with two equivalent Ga(1)Mg10Sn2 cuboctahedra; edges with two equivalent Sn(1)Mg10Ga2 cuboctahedra; edges with four equivalent Mg(4)Mg10Ga2 cuboctahedra; edges with four equivalent Mg(3)Mg10Sn2 cuboctahedra; edges with four equivalent Mg(2)Mg8Ga2Sn2 cuboctahedra; faces with two equivalent Mg(4)Mg10Ga2 cuboctahedra; faces with two equivalent Mg(3)Mg10Sn2 cuboctahedra; faces with two equivalent Ga(1)Mg10Sn2 cuboctahedra; faces with two equivalent Sn(1)Mg10Ga2 cuboctahedra; faces with four Mg(1,1)Mg8Ga2Sn2 cuboctahedra; and faces with eight Mg(2,2,2)Mg8Ga2Sn2 cuboctahedra. In the second 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 Ga(1), and two equivalent Sn(1) atoms to form distorted MgMg8Ga2Sn2 cuboctahedra that share corners with four equivalent Ga(1)Mg10Sn2 cuboctahedra; corners with four equivalent Sn(1)Mg10Ga2 cuboctahedra; corners with ten Mg(1,1)Mg8Ga2Sn2 cuboctahedra; edges with two equivalent Mg(1)Mg8Ga2Sn2 cuboctahedra; edges with two equivalent Ga(1)Mg10Sn2 cuboctahedra; edges with two equivalent Sn(1)Mg10Ga2 cuboctahedra; edges with four equivalent Mg(4)Mg10Ga2 cuboctahedra; edges with four equivalent Mg(3)Mg10Sn2 cuboctahedra; edges with four equivalent Mg(2)Mg8Ga2Sn2 cuboctahedra; faces with two equivalent Mg(4)Mg10Ga2 cuboctahedra; faces with two equivalent Mg(3)Mg10Sn2 cuboctahedra; faces with two equivalent Ga(1)Mg10Sn2 cuboctahedra; faces with two equivalent Sn(1)Mg10Ga2 cuboctahedra; faces with four Mg(1,1)Mg8Ga2Sn2 cuboctahedra; and faces with eight Mg(2,2)Mg8Ga2Sn2 cuboctahedra. In the third Mg site, Mg(2) is bonded to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), two equivalent Ga(1), and two equivalent Sn(1) atoms to form distorted MgMg8Ga2Sn2 cuboctahedra that share corners with four equivalent Mg(4)Mg10Ga2 cuboctahedra; corners with four equivalent Mg(3)Mg10Sn2 cuboctahedra; corners with ten Mg(2,2)Mg8Ga2Sn2 cuboctahedra; edges with two equivalent Mg(4)Mg10Ga2 cuboctahedra; edges with two equivalent Mg(3)Mg10Sn2 cuboctahedra; edges with two equivalent Mg(2)Mg8Ga2Sn2 cuboctahedra; edges with four equivalent Mg(1)Mg8Ga2Sn2 cuboctahedra; edges with four equivalent Ga(1)Mg10Sn2 cuboctahedra; edges with four equivalent Sn(1)Mg10Ga2 cuboctahedra; faces with two equivalent Mg(4)Mg10Ga2 cuboctahedra; faces with two equivalent Mg(3)Mg10Sn2 cuboctahedra; faces with two equivalent Ga(1)Mg10Sn2 cuboctahedra; faces with two equivalent Sn(1)Mg10Ga2 cuboctahedra; faces with four Mg(2,2)Mg8Ga2Sn2 cuboctahedra; and faces with eight Mg(1,1)Mg8Ga2Sn2 cuboctahedra. In the fourth Mg site, Mg(2) is bonded to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), two equivalent Ga(1), and two equivalent Sn(1) atoms to form distorted MgMg8Ga2Sn2 cuboctahedra that share corners with four equivalent Mg(4)Mg10Ga2 cuboctahedra; corners with four equivalent Mg(3)Mg10Sn2 cuboctahedra; corners with ten Mg(2,2,2)Mg8Ga2Sn2 cuboctahedra; edges with two equivalent Mg(4)Mg10Ga2 cuboctahedra; edges with two equivalent Mg(3)Mg10Sn2 cuboctahedra; edges with two equivalent Mg(2)Mg8Ga2Sn2 cuboctahedra; edges with four equivalent Mg(1)Mg8Ga2Sn2 cuboctahedra; edges with four equivalent Ga(1)Mg10Sn2 cuboctahedra; edges with four equivalent Sn(1)Mg10Ga2 cuboctahedra; faces with two equivalent Mg(4)Mg10Ga2 cuboctahedra; faces with two equivalent Mg(3)Mg10Sn2 cuboctahedra; faces with two equivalent Ga(1)Mg10Sn2 cuboctahedra; faces with two equivalent Sn(1)Mg10Ga2 cuboctahedra; faces with four Mg(2,2)Mg8Ga2Sn2 cuboctahedra; and faces with eight Mg(1,1)Mg8Ga2Sn2 cuboctahedra. In the fifth Mg site, Mg(3) is bonded to two equivalent Mg(4); four Mg(1,1); four Mg(2,2,2); and two equivalent Sn(1) atoms to form distorted MgMg10Sn2 cuboctahedra that share corners with four equivalent Mg(4)Mg10Ga2 cuboctahedra; corners with six equivalent Mg(3)Mg10Sn2 cuboctahedra; corners with eight Mg(2,2,2)Mg8Ga2Sn2 cuboctahedra; edges with two equivalent Mg(4)Mg10Ga2 cuboctahedra; edges with four Mg(2,2,2)Mg8Ga2Sn2 cuboctahedra; edges with four equivalent Sn(1)Mg10Ga2 cuboctahedra; edges with eight Mg(1,1)Mg8Ga2Sn2 cuboctahedra; faces with two equivalent Mg(4)Mg10Ga2 cuboctahedra; faces with two equivalent Mg(3)Mg10Sn2 cuboctahedra; faces with two equivalent Sn(1)Mg10Ga2 cuboctahedra; faces with four Mg(1,1)Mg8Ga2Sn2 cuboctahedra; faces with four Mg(2,2,2)Mg8Ga2Sn2 cuboctahedra; and faces with six equivalent Ga(1)Mg10Sn2 cuboctahedra. In the sixth Mg site, Mg(4) is bonded to two equivalent Mg(3); four Mg(1,1); four Mg(2,2,2); and two equivalent Ga(1) atoms to form distorted MgMg10Ga2 cuboctahedra that share corners with four equivalent Mg(3)Mg10Sn2 cuboctahedra; corners with six equivalent Mg(4)Mg10Ga2 cuboctahedra; corners with eight Mg(2,2,2)Mg8Ga2Sn2 cuboctahedra; edges with two equivalent Mg(3)Mg10Sn2 cuboctahedra; edges with four Mg(2,2,2)Mg8Ga2Sn2 cuboctahedra; edges with four equivalent Ga(1)Mg10Sn2 cuboctahedra; edges with eight Mg(1,1)Mg8Ga2Sn2 cuboctahedra; faces with two equivalent Mg(4)Mg10Ga2 cuboctahedra; faces with two equivalent Mg(3)Mg10Sn2 cuboctahedra; faces with two equivalent Ga(1)Mg10Sn2 cuboctahedra; faces with four Mg(1,1)Mg8Ga2Sn2 cuboctahedra; faces with four Mg(2,2,2)Mg8Ga2Sn2 cuboctahedra; and faces with six equivalent Sn(1)Mg10Ga2 cuboctahedra. In the seventh Mg site, Mg(2) is bonded to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), two equivalent Ga(1), and two equivalent Sn(1) atoms to form distorted MgMg8Ga2Sn2 cuboctahedra that share corners with four equivalent Mg(4)Mg10Ga2 cuboctahedra; corners with four equivalent Mg(3)Mg10Sn2 cuboctahedra; corners with ten Mg(2,2)Mg8Ga2Sn2 cuboctahedra; edges with two equivalent Mg(4)Mg10Ga2 cuboctahedra; edges with two equivalent Mg(3)Mg10Sn2 cuboctahedra; edges with two equivalent Mg(2)Mg8Ga2Sn2 cuboctahedra; edges with four equivalent Mg(1)Mg8Ga2Sn2 cuboctahedra; edges with four equivalent Ga(1)Mg10Sn2 cuboctahedra; edges with four equivalent Sn(1)Mg10Ga2 cuboctahedra; faces with two equivalent Mg(4)Mg10Ga2 cuboctahedra; faces with two equivalent Mg(3)Mg10Sn2 cuboctahedra; faces with two equivalent Ga(1)Mg10Sn2 cuboctahedra; faces with two equivalent Sn(1)Mg10Ga2 cuboctahedra; faces with four Mg(2,2)Mg8Ga2Sn2 cuboctahedra; and faces with eight Mg(1,1)Mg8Ga2Sn2 cuboctahedra. Ga(1) is bonded to two equivalent Mg(4); four Mg(1,1); four Mg(2,2); and two equivalent Sn(1) atoms to form GaMg10Sn2 cuboctahedra that share corners with four equivalent Sn(1)Mg10Ga2 cuboctahedra; corners with six equivalent Ga(1)Mg10Sn2 cuboctahedra; corners with eight Mg(1,1)Mg8Ga2Sn2 cuboctahedra; edges with two equivalent Sn(1)Mg10Ga2 cuboctahedra; edges with four equivalent Mg(4)Mg10Ga2 cuboctahedra; edges with four Mg(1,1)Mg8Ga2Sn2 cuboctahedra; edges with eight Mg(2,2,2)Mg8Ga2Sn2 cuboctahedra; faces with two equivalent Mg(4)Mg10Ga2 cuboctahedra; faces with two equivalent Ga(1)Mg10Sn2 cuboctahedra; faces with two equivalent Sn(1)Mg10Ga2 cuboctahedra; faces with four Mg(1,1)Mg8Ga2Sn2 cuboctahedra; faces with four Mg(2,2)Mg8Ga2Sn2 cuboctahedra; and faces with six equivalent Mg(3)Mg10Sn2 cuboctahedra. Sn(1) is bonded to two equivalent Mg(3); four Mg(1,1); four Mg(2,2); and two equivalent Ga(1) atoms to form SnMg10Ga2 cuboctahedra that share corners with four equivalent Ga(1)Mg10Sn2 cuboctahedra; corners with six equivalent Sn(1)Mg10Ga2 cuboctahedra; corners with eight Mg(1,1)Mg8Ga2Sn2 cuboctahedra; edges with two equivalent Ga(1)Mg10Sn2 cuboctahedra; edges with four equivalent Mg(3)Mg10Sn2 cuboctahedra; edges with four Mg(1,1)Mg8Ga2Sn2 cuboctahedra; edges with eight Mg(2,2,2)Mg8Ga2Sn2 cuboctahedra; faces with two equivalent Mg(3)Mg10Sn2 cuboctahedra; faces with two equivalent Ga(1)Mg10Sn2 cuboctahedra; faces with two equivalent Sn(1)Mg10Ga2 cuboctahedra; faces with four Mg(1,1)Mg8Ga2Sn2 cuboctahedra; faces with four Mg(2,2)Mg8Ga2Sn2 cuboctahedra; and faces with six equivalent Mg(4)Mg10Ga2 cuboctahedra. is represented by the CIF file [CIF]
data_Mg6GaSn
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.189
_cell_length_b   6.255
_cell_length_c   6.255
_cell_angle_alpha   118.643
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   178.187
_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
  Ga  Ga0  1  0.500  0.667  0.333  1.0
  Mg  Mg1  1  0.500  0.667  0.834  1.0
  Mg  Mg2  1  0.500  0.166  0.333  1.0
  Mg  Mg3  1  0.000  0.830  0.663  1.0
  Mg  Mg4  1  0.000  0.337  0.170  1.0
  Mg  Mg5  1  0.000  0.334  0.666  1.0
  Mg  Mg6  1  0.000  0.832  0.168  1.0
  Sn  Sn7  1  0.500  0.167  0.833  1.0
[/CIF]
.