The compound described by Mg6YSn crystallizes in the orthorhombic Amm2 space group. There are six 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 Y(1), and two equivalent Sn(1) atoms to form distorted MgY2Mg8Sn2 cuboctahedra that share corners with four equivalent Mg(2)Y2Mg10 cuboctahedra; corners with four equivalent Y(1)Mg10Sn2 cuboctahedra; corners with ten Mg(1,1)Y2Mg8Sn2 cuboctahedra; edges with two equivalent Mg(2)Y2Mg10 cuboctahedra; edges with two equivalent Mg(1)Y2Mg8Sn2 cuboctahedra; edges with two equivalent Y(1)Mg10Sn2 cuboctahedra; edges with four equivalent Mg(4)Mg10Sn2 cuboctahedra; edges with four equivalent Sn(1)Y2Mg10 cuboctahedra; faces with two equivalent Mg(4)Mg10Sn2 cuboctahedra; faces with two equivalent Mg(2)Y2Mg10 cuboctahedra; faces with two equivalent Y(1)Mg10Sn2 cuboctahedra; faces with two equivalent Sn(1)Y2Mg10 cuboctahedra; and faces with four Mg(1,1)Y2Mg8Sn2 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 Y(1), and two equivalent Sn(1) atoms to form distorted MgY2Mg8Sn2 cuboctahedra that share corners with four equivalent Mg(2)Y2Mg10 cuboctahedra; corners with four equivalent Y(1)Mg10Sn2 cuboctahedra; corners with ten Mg(1,1)Y2Mg8Sn2 cuboctahedra; edges with two equivalent Mg(2)Y2Mg10 cuboctahedra; edges with two equivalent Mg(1)Y2Mg8Sn2 cuboctahedra; edges with two equivalent Y(1)Mg10Sn2 cuboctahedra; edges with four equivalent Mg(4)Mg10Sn2 cuboctahedra; edges with four equivalent Sn(1)Y2Mg10 cuboctahedra; faces with two equivalent Mg(4)Mg10Sn2 cuboctahedra; faces with two equivalent Mg(2)Y2Mg10 cuboctahedra; faces with two equivalent Y(1)Mg10Sn2 cuboctahedra; faces with two equivalent Sn(1)Y2Mg10 cuboctahedra; and faces with four Mg(1,1)Y2Mg8Sn2 cuboctahedra. In the third Mg site, Mg(2) is bonded to two equivalent Mg(4); four Mg(1,1); four equivalent Mg(3); and two equivalent Y(1) atoms to form MgY2Mg10 cuboctahedra that share corners with four equivalent Y(1)Mg10Sn2 cuboctahedra; corners with six equivalent Mg(2)Y2Mg10 cuboctahedra; corners with eight Mg(1,1)Y2Mg8Sn2 cuboctahedra; edges with two equivalent Y(1)Mg10Sn2 cuboctahedra; edges with four equivalent Mg(4)Mg10Sn2 cuboctahedra; edges with four Mg(1,1)Y2Mg8Sn2 cuboctahedra; faces with two equivalent Mg(4)Mg10Sn2 cuboctahedra; faces with two equivalent Mg(2)Y2Mg10 cuboctahedra; faces with two equivalent Y(1)Mg10Sn2 cuboctahedra; faces with four Mg(1,1)Y2Mg8Sn2 cuboctahedra; and faces with six equivalent Sn(1)Y2Mg10 cuboctahedra. In the fourth Mg site, Mg(3) is bonded in a 12-coordinate geometry to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), two equivalent Y(1), and two equivalent Sn(1) atoms. In the fifth Mg site, Mg(4) is bonded to two equivalent Mg(2); four equivalent Mg(1); four Mg(3,3); and two equivalent Sn(1) atoms to form distorted MgMg10Sn2 cuboctahedra that share corners with four equivalent Sn(1)Y2Mg10 cuboctahedra; corners with six equivalent Mg(4)Mg10Sn2 cuboctahedra; edges with two equivalent Sn(1)Y2Mg10 cuboctahedra; edges with four equivalent Mg(2)Y2Mg10 cuboctahedra; edges with eight Mg(1,1)Y2Mg8Sn2 cuboctahedra; faces with two equivalent Mg(4)Mg10Sn2 cuboctahedra; faces with two equivalent Mg(2)Y2Mg10 cuboctahedra; faces with two equivalent Sn(1)Y2Mg10 cuboctahedra; faces with four equivalent Mg(1)Y2Mg8Sn2 cuboctahedra; and faces with six equivalent Y(1)Mg10Sn2 cuboctahedra. In the sixth Mg site, Mg(3) is bonded in a 12-coordinate geometry to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), two equivalent Y(1), and two equivalent Sn(1) atoms. Y(1) is bonded to two equivalent Mg(2); four Mg(1,1); four Mg(3,3); and two equivalent Sn(1) atoms to form distorted YMg10Sn2 cuboctahedra that share corners with four equivalent Mg(2)Y2Mg10 cuboctahedra; corners with six equivalent Y(1)Mg10Sn2 cuboctahedra; corners with eight Mg(1,1)Y2Mg8Sn2 cuboctahedra; edges with two equivalent Mg(2)Y2Mg10 cuboctahedra; edges with four Mg(1,1)Y2Mg8Sn2 cuboctahedra; edges with four equivalent Sn(1)Y2Mg10 cuboctahedra; faces with two equivalent Mg(2)Y2Mg10 cuboctahedra; faces with two equivalent Y(1)Mg10Sn2 cuboctahedra; faces with two equivalent Sn(1)Y2Mg10 cuboctahedra; faces with four Mg(1,1)Y2Mg8Sn2 cuboctahedra; and faces with six equivalent Mg(4)Mg10Sn2 cuboctahedra. Sn(1) is bonded to two equivalent Mg(4); four Mg(1,1); four Mg(3,3); and two equivalent Y(1) atoms to form SnY2Mg10 cuboctahedra that share corners with four equivalent Mg(4)Mg10Sn2 cuboctahedra; corners with six equivalent Sn(1)Y2Mg10 cuboctahedra; edges with two equivalent Mg(4)Mg10Sn2 cuboctahedra; edges with four equivalent Y(1)Mg10Sn2 cuboctahedra; edges with eight Mg(1,1)Y2Mg8Sn2 cuboctahedra; faces with two equivalent Mg(4)Mg10Sn2 cuboctahedra; faces with two equivalent Y(1)Mg10Sn2 cuboctahedra; faces with two equivalent Sn(1)Y2Mg10 cuboctahedra; faces with four Mg(1,1)Y2Mg8Sn2 cuboctahedra; and faces with six equivalent Mg(2)Y2Mg10 cuboctahedra. is represented by the CIF file [CIF]
data_YMg6Sn
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.127
_cell_length_b   6.608
_cell_length_c   6.608
_cell_angle_alpha   119.551
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   194.752
_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  0.000  0.675  0.834  1.0
  Mg  Mg1  1  0.000  0.166  0.325  1.0
  Mg  Mg2  1  0.000  0.664  0.336  1.0
  Mg  Mg3  1  0.500  0.819  0.659  1.0
  Mg  Mg4  1  0.500  0.341  0.181  1.0
  Mg  Mg5  1  0.500  0.832  0.168  1.0
  Sn  Sn6  1  0.500  0.332  0.668  1.0
  Y  Y7  1  0.000  0.171  0.829  1.0
[/CIF]
.
The compound described by Mg6YSn crystallizes in the orthorhombic Amm2 space group. There are six 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 Y(1), and two equivalent Sn(1) atoms to form distorted MgY2Mg8Sn2 cuboctahedra that share corners with four equivalent Mg(2)Y2Mg10 cuboctahedra; corners with four equivalent Y(1)Mg10Sn2 cuboctahedra; corners with ten Mg(1,1)Y2Mg8Sn2 cuboctahedra; edges with two equivalent Mg(2)Y2Mg10 cuboctahedra; edges with two equivalent Mg(1)Y2Mg8Sn2 cuboctahedra; edges with two equivalent Y(1)Mg10Sn2 cuboctahedra; edges with four equivalent Mg(4)Mg10Sn2 cuboctahedra; edges with four equivalent Sn(1)Y2Mg10 cuboctahedra; faces with two equivalent Mg(4)Mg10Sn2 cuboctahedra; faces with two equivalent Mg(2)Y2Mg10 cuboctahedra; faces with two equivalent Y(1)Mg10Sn2 cuboctahedra; faces with two equivalent Sn(1)Y2Mg10 cuboctahedra; and faces with four Mg(1,1)Y2Mg8Sn2 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 Y(1), and two equivalent Sn(1) atoms to form distorted MgY2Mg8Sn2 cuboctahedra that share corners with four equivalent Mg(2)Y2Mg10 cuboctahedra; corners with four equivalent Y(1)Mg10Sn2 cuboctahedra; corners with ten Mg(1,1)Y2Mg8Sn2 cuboctahedra; edges with two equivalent Mg(2)Y2Mg10 cuboctahedra; edges with two equivalent Mg(1)Y2Mg8Sn2 cuboctahedra; edges with two equivalent Y(1)Mg10Sn2 cuboctahedra; edges with four equivalent Mg(4)Mg10Sn2 cuboctahedra; edges with four equivalent Sn(1)Y2Mg10 cuboctahedra; faces with two equivalent Mg(4)Mg10Sn2 cuboctahedra; faces with two equivalent Mg(2)Y2Mg10 cuboctahedra; faces with two equivalent Y(1)Mg10Sn2 cuboctahedra; faces with two equivalent Sn(1)Y2Mg10 cuboctahedra; and faces with four Mg(1,1)Y2Mg8Sn2 cuboctahedra. In the third Mg site, Mg(2) is bonded to two equivalent Mg(4); four Mg(1,1); four equivalent Mg(3); and two equivalent Y(1) atoms to form MgY2Mg10 cuboctahedra that share corners with four equivalent Y(1)Mg10Sn2 cuboctahedra; corners with six equivalent Mg(2)Y2Mg10 cuboctahedra; corners with eight Mg(1,1)Y2Mg8Sn2 cuboctahedra; edges with two equivalent Y(1)Mg10Sn2 cuboctahedra; edges with four equivalent Mg(4)Mg10Sn2 cuboctahedra; edges with four Mg(1,1)Y2Mg8Sn2 cuboctahedra; faces with two equivalent Mg(4)Mg10Sn2 cuboctahedra; faces with two equivalent Mg(2)Y2Mg10 cuboctahedra; faces with two equivalent Y(1)Mg10Sn2 cuboctahedra; faces with four Mg(1,1)Y2Mg8Sn2 cuboctahedra; and faces with six equivalent Sn(1)Y2Mg10 cuboctahedra. In the fourth Mg site, Mg(3) is bonded in a 12-coordinate geometry to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), two equivalent Y(1), and two equivalent Sn(1) atoms. In the fifth Mg site, Mg(4) is bonded to two equivalent Mg(2); four equivalent Mg(1); four Mg(3,3); and two equivalent Sn(1) atoms to form distorted MgMg10Sn2 cuboctahedra that share corners with four equivalent Sn(1)Y2Mg10 cuboctahedra; corners with six equivalent Mg(4)Mg10Sn2 cuboctahedra; edges with two equivalent Sn(1)Y2Mg10 cuboctahedra; edges with four equivalent Mg(2)Y2Mg10 cuboctahedra; edges with eight Mg(1,1)Y2Mg8Sn2 cuboctahedra; faces with two equivalent Mg(4)Mg10Sn2 cuboctahedra; faces with two equivalent Mg(2)Y2Mg10 cuboctahedra; faces with two equivalent Sn(1)Y2Mg10 cuboctahedra; faces with four equivalent Mg(1)Y2Mg8Sn2 cuboctahedra; and faces with six equivalent Y(1)Mg10Sn2 cuboctahedra. In the sixth Mg site, Mg(3) is bonded in a 12-coordinate geometry to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), two equivalent Y(1), and two equivalent Sn(1) atoms. Y(1) is bonded to two equivalent Mg(2); four Mg(1,1); four Mg(3,3); and two equivalent Sn(1) atoms to form distorted YMg10Sn2 cuboctahedra that share corners with four equivalent Mg(2)Y2Mg10 cuboctahedra; corners with six equivalent Y(1)Mg10Sn2 cuboctahedra; corners with eight Mg(1,1)Y2Mg8Sn2 cuboctahedra; edges with two equivalent Mg(2)Y2Mg10 cuboctahedra; edges with four Mg(1,1)Y2Mg8Sn2 cuboctahedra; edges with four equivalent Sn(1)Y2Mg10 cuboctahedra; faces with two equivalent Mg(2)Y2Mg10 cuboctahedra; faces with two equivalent Y(1)Mg10Sn2 cuboctahedra; faces with two equivalent Sn(1)Y2Mg10 cuboctahedra; faces with four Mg(1,1)Y2Mg8Sn2 cuboctahedra; and faces with six equivalent Mg(4)Mg10Sn2 cuboctahedra. Sn(1) is bonded to two equivalent Mg(4); four Mg(1,1); four Mg(3,3); and two equivalent Y(1) atoms to form SnY2Mg10 cuboctahedra that share corners with four equivalent Mg(4)Mg10Sn2 cuboctahedra; corners with six equivalent Sn(1)Y2Mg10 cuboctahedra; edges with two equivalent Mg(4)Mg10Sn2 cuboctahedra; edges with four equivalent Y(1)Mg10Sn2 cuboctahedra; edges with eight Mg(1,1)Y2Mg8Sn2 cuboctahedra; faces with two equivalent Mg(4)Mg10Sn2 cuboctahedra; faces with two equivalent Y(1)Mg10Sn2 cuboctahedra; faces with two equivalent Sn(1)Y2Mg10 cuboctahedra; faces with four Mg(1,1)Y2Mg8Sn2 cuboctahedra; and faces with six equivalent Mg(2)Y2Mg10 cuboctahedra. is represented by the CIF file [CIF]
data_YMg6Sn
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.127
_cell_length_b   6.608
_cell_length_c   6.608
_cell_angle_alpha   119.551
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   194.752
_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  0.000  0.675  0.834  1.0
  Mg  Mg1  1  0.000  0.166  0.325  1.0
  Mg  Mg2  1  0.000  0.664  0.336  1.0
  Mg  Mg3  1  0.500  0.819  0.659  1.0
  Mg  Mg4  1  0.500  0.341  0.181  1.0
  Mg  Mg5  1  0.500  0.832  0.168  1.0
  Sn  Sn6  1  0.500  0.332  0.668  1.0
  Y  Y7  1  0.000  0.171  0.829  1.0
[/CIF]
.