The crystal structure described by Mg6YMn crystallizes in the orthorhombic Amm2 space group. There are four 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 Mn(1) atoms to form MgY2Mg8Mn2 cuboctahedra that share corners with four equivalent Y(1)Mg10Mn2 cuboctahedra, corners with four equivalent Mn(1)Y2Mg10 cuboctahedra, corners with ten equivalent Mg(1)Y2Mg8Mn2 cuboctahedra, edges with two equivalent Mg(1)Y2Mg8Mn2 cuboctahedra, edges with two equivalent Y(1)Mg10Mn2 cuboctahedra, edges with two equivalent Mn(1)Y2Mg10 cuboctahedra, edges with four equivalent Mg(3)Mg10Mn2 cuboctahedra, edges with four equivalent Mg(4)Y2Mg10 cuboctahedra, edges with four equivalent Mg(2)Y2Mg8Mn2 cuboctahedra, faces with two equivalent Mg(3)Mg10Mn2 cuboctahedra, faces with two equivalent Mg(4)Y2Mg10 cuboctahedra, faces with two equivalent Y(1)Mg10Mn2 cuboctahedra, faces with two equivalent Mn(1)Y2Mg10 cuboctahedra, faces with four equivalent Mg(1)Y2Mg8Mn2 cuboctahedra, and faces with eight equivalent Mg(2)Y2Mg8Mn2 cuboctahedra. In the second 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 Y(1), and two equivalent Mn(1) atoms to form distorted MgY2Mg8Mn2 cuboctahedra that share corners with four equivalent Mg(3)Mg10Mn2 cuboctahedra, corners with four equivalent Mg(4)Y2Mg10 cuboctahedra, corners with ten equivalent Mg(2)Y2Mg8Mn2 cuboctahedra, edges with two equivalent Mg(3)Mg10Mn2 cuboctahedra, edges with two equivalent Mg(4)Y2Mg10 cuboctahedra, edges with two equivalent Mg(2)Y2Mg8Mn2 cuboctahedra, edges with four equivalent Mg(1)Y2Mg8Mn2 cuboctahedra, edges with four equivalent Y(1)Mg10Mn2 cuboctahedra, edges with four equivalent Mn(1)Y2Mg10 cuboctahedra, faces with two equivalent Mg(3)Mg10Mn2 cuboctahedra, faces with two equivalent Mg(4)Y2Mg10 cuboctahedra, faces with two equivalent Y(1)Mg10Mn2 cuboctahedra, faces with two equivalent Mn(1)Y2Mg10 cuboctahedra, faces with four equivalent Mg(2)Y2Mg8Mn2 cuboctahedra, and faces with eight equivalent Mg(1)Y2Mg8Mn2 cuboctahedra. In the third Mg site, Mg(3) is bonded to two equivalent Mg(4), four equivalent Mg(1), four equivalent Mg(2), and two equivalent Mn(1) atoms to form distorted MgMg10Mn2 cuboctahedra that share corners with four equivalent Mg(4)Y2Mg10 cuboctahedra, corners with six equivalent Mg(3)Mg10Mn2 cuboctahedra, corners with eight equivalent Mg(2)Y2Mg8Mn2 cuboctahedra, edges with two equivalent Mg(4)Y2Mg10 cuboctahedra, edges with four equivalent Mg(2)Y2Mg8Mn2 cuboctahedra, edges with four equivalent Mn(1)Y2Mg10 cuboctahedra, edges with eight equivalent Mg(1)Y2Mg8Mn2 cuboctahedra, faces with two equivalent Mg(3)Mg10Mn2 cuboctahedra, faces with two equivalent Mg(4)Y2Mg10 cuboctahedra, faces with two equivalent Mn(1)Y2Mg10 cuboctahedra, faces with four equivalent Mg(1)Y2Mg8Mn2 cuboctahedra, faces with four equivalent Mg(2)Y2Mg8Mn2 cuboctahedra, and faces with six equivalent Y(1)Mg10Mn2 cuboctahedra. In the fourth Mg site, Mg(4) is bonded to two equivalent Mg(3), four equivalent Mg(1), four equivalent Mg(2), and two equivalent Y(1) atoms to form MgY2Mg10 cuboctahedra that share corners with four equivalent Mg(3)Mg10Mn2 cuboctahedra, corners with six equivalent Mg(4)Y2Mg10 cuboctahedra, corners with eight equivalent Mg(2)Y2Mg8Mn2 cuboctahedra, edges with two equivalent Mg(3)Mg10Mn2 cuboctahedra, edges with four equivalent Mg(2)Y2Mg8Mn2 cuboctahedra, edges with four equivalent Y(1)Mg10Mn2 cuboctahedra, edges with eight equivalent Mg(1)Y2Mg8Mn2 cuboctahedra, faces with two equivalent Mg(3)Mg10Mn2 cuboctahedra, faces with two equivalent Mg(4)Y2Mg10 cuboctahedra, faces with two equivalent Y(1)Mg10Mn2 cuboctahedra, faces with four equivalent Mg(1)Y2Mg8Mn2 cuboctahedra, faces with four equivalent Mg(2)Y2Mg8Mn2 cuboctahedra, and faces with six equivalent Mn(1)Y2Mg10 cuboctahedra. Y(1) is bonded to two equivalent Mg(4), four equivalent Mg(1), four equivalent Mg(2), and two equivalent Mn(1) atoms to form YMg10Mn2 cuboctahedra that share corners with four equivalent Mn(1)Y2Mg10 cuboctahedra, corners with six equivalent Y(1)Mg10Mn2 cuboctahedra, corners with eight equivalent Mg(1)Y2Mg8Mn2 cuboctahedra, edges with two equivalent Mn(1)Y2Mg10 cuboctahedra, edges with four equivalent Mg(4)Y2Mg10 cuboctahedra, edges with four equivalent Mg(1)Y2Mg8Mn2 cuboctahedra, edges with eight equivalent Mg(2)Y2Mg8Mn2 cuboctahedra, faces with two equivalent Mg(4)Y2Mg10 cuboctahedra, faces with two equivalent Y(1)Mg10Mn2 cuboctahedra, faces with two equivalent Mn(1)Y2Mg10 cuboctahedra, faces with four equivalent Mg(1)Y2Mg8Mn2 cuboctahedra, faces with four equivalent Mg(2)Y2Mg8Mn2 cuboctahedra, and faces with six equivalent Mg(3)Mg10Mn2 cuboctahedra. Mn(1) is bonded to two equivalent Mg(3), four equivalent Mg(1), four equivalent Mg(2), and two equivalent Y(1) atoms to form MnY2Mg10 cuboctahedra that share corners with four equivalent Y(1)Mg10Mn2 cuboctahedra, corners with six equivalent Mn(1)Y2Mg10 cuboctahedra, corners with eight equivalent Mg(1)Y2Mg8Mn2 cuboctahedra, edges with two equivalent Y(1)Mg10Mn2 cuboctahedra, edges with four equivalent Mg(3)Mg10Mn2 cuboctahedra, edges with four equivalent Mg(1)Y2Mg8Mn2 cuboctahedra, edges with eight equivalent Mg(2)Y2Mg8Mn2 cuboctahedra, faces with two equivalent Mg(3)Mg10Mn2 cuboctahedra, faces with two equivalent Y(1)Mg10Mn2 cuboctahedra, faces with two equivalent Mn(1)Y2Mg10 cuboctahedra, faces with four equivalent Mg(1)Y2Mg8Mn2 cuboctahedra, faces with four equivalent Mg(2)Y2Mg8Mn2 cuboctahedra, and faces with six equivalent Mg(4)Y2Mg10 cuboctahedra. is represented by the CIF file [CIF]
data_YMg6Mn
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.099
_cell_length_b   6.436
_cell_length_c   6.495
_cell_angle_alpha   119.702
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   185.124
_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  0.500  0.673  0.837  1.0
  Mg  Mg1  1  0.500  0.164  0.837  1.0
  Mg  Mg2  1  0.000  0.848  0.170  1.0
  Mg  Mg3  1  0.000  0.322  0.170  1.0
  Mg  Mg4  1  0.000  0.327  0.654  1.0
  Mg  Mg5  1  0.000  0.836  0.672  1.0
  Mn  Mn6  1  0.500  0.163  0.326  1.0
  Y  Y7  1  0.500  0.667  0.334  1.0
[/CIF]
.
The crystal structure described by Mg6YMn crystallizes in the orthorhombic Amm2 space group. There are four 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 Mn(1) atoms to form MgY2Mg8Mn2 cuboctahedra that share corners with four equivalent Y(1)Mg10Mn2 cuboctahedra, corners with four equivalent Mn(1)Y2Mg10 cuboctahedra, corners with ten equivalent Mg(1)Y2Mg8Mn2 cuboctahedra, edges with two equivalent Mg(1)Y2Mg8Mn2 cuboctahedra, edges with two equivalent Y(1)Mg10Mn2 cuboctahedra, edges with two equivalent Mn(1)Y2Mg10 cuboctahedra, edges with four equivalent Mg(3)Mg10Mn2 cuboctahedra, edges with four equivalent Mg(4)Y2Mg10 cuboctahedra, edges with four equivalent Mg(2)Y2Mg8Mn2 cuboctahedra, faces with two equivalent Mg(3)Mg10Mn2 cuboctahedra, faces with two equivalent Mg(4)Y2Mg10 cuboctahedra, faces with two equivalent Y(1)Mg10Mn2 cuboctahedra, faces with two equivalent Mn(1)Y2Mg10 cuboctahedra, faces with four equivalent Mg(1)Y2Mg8Mn2 cuboctahedra, and faces with eight equivalent Mg(2)Y2Mg8Mn2 cuboctahedra. In the second 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 Y(1), and two equivalent Mn(1) atoms to form distorted MgY2Mg8Mn2 cuboctahedra that share corners with four equivalent Mg(3)Mg10Mn2 cuboctahedra, corners with four equivalent Mg(4)Y2Mg10 cuboctahedra, corners with ten equivalent Mg(2)Y2Mg8Mn2 cuboctahedra, edges with two equivalent Mg(3)Mg10Mn2 cuboctahedra, edges with two equivalent Mg(4)Y2Mg10 cuboctahedra, edges with two equivalent Mg(2)Y2Mg8Mn2 cuboctahedra, edges with four equivalent Mg(1)Y2Mg8Mn2 cuboctahedra, edges with four equivalent Y(1)Mg10Mn2 cuboctahedra, edges with four equivalent Mn(1)Y2Mg10 cuboctahedra, faces with two equivalent Mg(3)Mg10Mn2 cuboctahedra, faces with two equivalent Mg(4)Y2Mg10 cuboctahedra, faces with two equivalent Y(1)Mg10Mn2 cuboctahedra, faces with two equivalent Mn(1)Y2Mg10 cuboctahedra, faces with four equivalent Mg(2)Y2Mg8Mn2 cuboctahedra, and faces with eight equivalent Mg(1)Y2Mg8Mn2 cuboctahedra. In the third Mg site, Mg(3) is bonded to two equivalent Mg(4), four equivalent Mg(1), four equivalent Mg(2), and two equivalent Mn(1) atoms to form distorted MgMg10Mn2 cuboctahedra that share corners with four equivalent Mg(4)Y2Mg10 cuboctahedra, corners with six equivalent Mg(3)Mg10Mn2 cuboctahedra, corners with eight equivalent Mg(2)Y2Mg8Mn2 cuboctahedra, edges with two equivalent Mg(4)Y2Mg10 cuboctahedra, edges with four equivalent Mg(2)Y2Mg8Mn2 cuboctahedra, edges with four equivalent Mn(1)Y2Mg10 cuboctahedra, edges with eight equivalent Mg(1)Y2Mg8Mn2 cuboctahedra, faces with two equivalent Mg(3)Mg10Mn2 cuboctahedra, faces with two equivalent Mg(4)Y2Mg10 cuboctahedra, faces with two equivalent Mn(1)Y2Mg10 cuboctahedra, faces with four equivalent Mg(1)Y2Mg8Mn2 cuboctahedra, faces with four equivalent Mg(2)Y2Mg8Mn2 cuboctahedra, and faces with six equivalent Y(1)Mg10Mn2 cuboctahedra. In the fourth Mg site, Mg(4) is bonded to two equivalent Mg(3), four equivalent Mg(1), four equivalent Mg(2), and two equivalent Y(1) atoms to form MgY2Mg10 cuboctahedra that share corners with four equivalent Mg(3)Mg10Mn2 cuboctahedra, corners with six equivalent Mg(4)Y2Mg10 cuboctahedra, corners with eight equivalent Mg(2)Y2Mg8Mn2 cuboctahedra, edges with two equivalent Mg(3)Mg10Mn2 cuboctahedra, edges with four equivalent Mg(2)Y2Mg8Mn2 cuboctahedra, edges with four equivalent Y(1)Mg10Mn2 cuboctahedra, edges with eight equivalent Mg(1)Y2Mg8Mn2 cuboctahedra, faces with two equivalent Mg(3)Mg10Mn2 cuboctahedra, faces with two equivalent Mg(4)Y2Mg10 cuboctahedra, faces with two equivalent Y(1)Mg10Mn2 cuboctahedra, faces with four equivalent Mg(1)Y2Mg8Mn2 cuboctahedra, faces with four equivalent Mg(2)Y2Mg8Mn2 cuboctahedra, and faces with six equivalent Mn(1)Y2Mg10 cuboctahedra. Y(1) is bonded to two equivalent Mg(4), four equivalent Mg(1), four equivalent Mg(2), and two equivalent Mn(1) atoms to form YMg10Mn2 cuboctahedra that share corners with four equivalent Mn(1)Y2Mg10 cuboctahedra, corners with six equivalent Y(1)Mg10Mn2 cuboctahedra, corners with eight equivalent Mg(1)Y2Mg8Mn2 cuboctahedra, edges with two equivalent Mn(1)Y2Mg10 cuboctahedra, edges with four equivalent Mg(4)Y2Mg10 cuboctahedra, edges with four equivalent Mg(1)Y2Mg8Mn2 cuboctahedra, edges with eight equivalent Mg(2)Y2Mg8Mn2 cuboctahedra, faces with two equivalent Mg(4)Y2Mg10 cuboctahedra, faces with two equivalent Y(1)Mg10Mn2 cuboctahedra, faces with two equivalent Mn(1)Y2Mg10 cuboctahedra, faces with four equivalent Mg(1)Y2Mg8Mn2 cuboctahedra, faces with four equivalent Mg(2)Y2Mg8Mn2 cuboctahedra, and faces with six equivalent Mg(3)Mg10Mn2 cuboctahedra. Mn(1) is bonded to two equivalent Mg(3), four equivalent Mg(1), four equivalent Mg(2), and two equivalent Y(1) atoms to form MnY2Mg10 cuboctahedra that share corners with four equivalent Y(1)Mg10Mn2 cuboctahedra, corners with six equivalent Mn(1)Y2Mg10 cuboctahedra, corners with eight equivalent Mg(1)Y2Mg8Mn2 cuboctahedra, edges with two equivalent Y(1)Mg10Mn2 cuboctahedra, edges with four equivalent Mg(3)Mg10Mn2 cuboctahedra, edges with four equivalent Mg(1)Y2Mg8Mn2 cuboctahedra, edges with eight equivalent Mg(2)Y2Mg8Mn2 cuboctahedra, faces with two equivalent Mg(3)Mg10Mn2 cuboctahedra, faces with two equivalent Y(1)Mg10Mn2 cuboctahedra, faces with two equivalent Mn(1)Y2Mg10 cuboctahedra, faces with four equivalent Mg(1)Y2Mg8Mn2 cuboctahedra, faces with four equivalent Mg(2)Y2Mg8Mn2 cuboctahedra, and faces with six equivalent Mg(4)Y2Mg10 cuboctahedra. is represented by the CIF file [CIF]
data_YMg6Mn
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.099
_cell_length_b   6.436
_cell_length_c   6.495
_cell_angle_alpha   119.702
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   185.124
_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  0.500  0.673  0.837  1.0
  Mg  Mg1  1  0.500  0.164  0.837  1.0
  Mg  Mg2  1  0.000  0.848  0.170  1.0
  Mg  Mg3  1  0.000  0.322  0.170  1.0
  Mg  Mg4  1  0.000  0.327  0.654  1.0
  Mg  Mg5  1  0.000  0.836  0.672  1.0
  Mn  Mn6  1  0.500  0.163  0.326  1.0
  Y  Y7  1  0.500  0.667  0.334  1.0
[/CIF]
.