The material structure described by Mg14MnFe 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(2), two equivalent Mg(6), four equivalent Mg(4), and four equivalent Mg(5) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Fe(1)Mg10Mn2 cuboctahedra, corners with six equivalent Mg(1)Mg12 cuboctahedra, corners with eight equivalent Mg(3)Mg8Mn2Fe2 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with four equivalent Mg(6)Mg11Mn cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Mg(6)Mg11Mn cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with two equivalent Mn(1)Mg10Fe2 cuboctahedra, and faces with four equivalent Mg(4)Mg12 cuboctahedra. In the second Mg site, Mg(2) is bonded to two equivalent Mg(1), two equivalent Mg(7), four equivalent Mg(4), and four equivalent Mg(5) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Mn(1)Mg10Fe2 cuboctahedra, corners with six equivalent Mg(2)Mg12 cuboctahedra, corners with eight equivalent Mg(3)Mg8Mn2Fe2 cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Fe(1)Mg10Mn2 cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, and faces with six equivalent Mg(6)Mg11Mn cuboctahedra. In the third Mg site, Mg(3) is bonded to two equivalent Mg(3), two equivalent Mg(5), two equivalent Mg(6), two equivalent Mg(7), two equivalent Mn(1), and two equivalent Fe(1) atoms to form distorted MgMg8Mn2Fe2 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra, corners with four equivalent Mg(2)Mg12 cuboctahedra, corners with four equivalent Mg(4)Mg12 cuboctahedra, corners with six equivalent Mg(3)Mg8Mn2Fe2 cuboctahedra, edges with two equivalent Mg(3)Mg8Mn2Fe2 cuboctahedra, edges with two equivalent Mn(1)Mg10Fe2 cuboctahedra, edges with two equivalent Fe(1)Mg10Mn2 cuboctahedra, edges with four equivalent Mg(6)Mg11Mn cuboctahedra, faces with two equivalent Mg(6)Mg11Mn cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Mg(3)Mg8Mn2Fe2 cuboctahedra, faces with two equivalent Mn(1)Mg10Fe2 cuboctahedra, and faces with two equivalent Fe(1)Mg10Mn2 cuboctahedra. In the fourth Mg site, Mg(4) is bonded to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(4), two equivalent Mg(5), two equivalent Mg(6), and two equivalent Mg(7) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Mg(3)Mg8Mn2Fe2 cuboctahedra, corners with four equivalent Mn(1)Mg10Fe2 cuboctahedra, corners with four equivalent Fe(1)Mg10Mn2 cuboctahedra, corners with six equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with two equivalent Mg(4)Mg12 cuboctahedra, edges with four equivalent Mg(6)Mg11Mn cuboctahedra, faces with two equivalent Mg(6)Mg11Mn cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, and faces with two equivalent Mg(3)Mg8Mn2Fe2 cuboctahedra. In the fifth Mg site, Mg(5) is bonded in a 2-coordinate geometry to one Mg(1), one Mg(2), one Mg(3), one Mg(4), two equivalent Mg(6), one Mn(1), and one Fe(1) atom. In the sixth Mg site, Mg(6) is bonded to one Mg(1), two equivalent Mg(3), two equivalent Mg(4), two equivalent Mg(7), four equivalent Mg(5), and one Mn(1) atom to form distorted MgMg11Mn cuboctahedra that share corners with six equivalent Mg(6)Mg11Mn cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with two equivalent Mn(1)Mg10Fe2 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with four equivalent Mg(3)Mg8Mn2Fe2 cuboctahedra,  a faceface with one Mg(1)Mg12 cuboctahedra,  a faceface with one Mn(1)Mg10Fe2 cuboctahedra, faces with two equivalent Mg(6)Mg11Mn cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Mg(3)Mg8Mn2Fe2 cuboctahedra, faces with three equivalent Mg(2)Mg12 cuboctahedra, and faces with three equivalent Fe(1)Mg10Mn2 cuboctahedra. In the seventh Mg site, Mg(7) is bonded in a distorted single-bond geometry to one Mg(2), two equivalent Mg(3), two equivalent Mg(4), two equivalent Mg(6), and one Fe(1) atom. Mn(1) is bonded to two equivalent Mg(6), four equivalent Mg(3), four equivalent Mg(5), and two equivalent Fe(1) atoms to form MnMg10Fe2 cuboctahedra that share corners with four equivalent Mg(2)Mg12 cuboctahedra, corners with six equivalent Mn(1)Mg10Fe2 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Fe(1)Mg10Mn2 cuboctahedra, edges with four equivalent Mg(6)Mg11Mn cuboctahedra, edges with four equivalent Mg(3)Mg8Mn2Fe2 cuboctahedra, faces with two equivalent Mg(6)Mg11Mn cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Fe(1)Mg10Mn2 cuboctahedra, and faces with four equivalent Mg(3)Mg8Mn2Fe2 cuboctahedra. Fe(1) is bonded to two equivalent Mg(7), four equivalent Mg(3), four equivalent Mg(5), and two equivalent Mn(1) atoms to form FeMg10Mn2 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra, corners with six equivalent Fe(1)Mg10Mn2 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Mn(1)Mg10Fe2 cuboctahedra, edges with four equivalent Mg(3)Mg8Mn2Fe2 cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with two equivalent Mn(1)Mg10Fe2 cuboctahedra, faces with four equivalent Mg(3)Mg8Mn2Fe2 cuboctahedra, and faces with six equivalent Mg(6)Mg11Mn cuboctahedra. is represented by the CIF card [CIF]
data_Mg14MnFe
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.304
_cell_length_b   6.250
_cell_length_c   9.874
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   119.717
_symmetry_Int_Tables_number   1
_cell_volume   337.882
_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  0.169  0.335  0.625  1.0
  Mg  Mg1  1  0.168  0.834  0.625  1.0
  Mg  Mg2  1  0.668  0.333  0.125  1.0
  Mg  Mg3  1  0.665  0.333  0.625  1.0
  Mg  Mg4  1  0.668  0.836  0.125  1.0
  Mg  Mg5  1  0.665  0.832  0.625  1.0
  Mg  Mg6  1  0.324  0.160  0.359  1.0
  Mg  Mg7  1  0.324  0.160  0.891  1.0
  Mg  Mg8  1  0.324  0.664  0.359  1.0
  Mg  Mg9  1  0.324  0.664  0.891  1.0
  Mg  Mg10  1  0.842  0.171  0.371  1.0
  Mg  Mg11  1  0.842  0.171  0.879  1.0
  Mg  Mg12  1  0.845  0.672  0.367  1.0
  Mg  Mg13  1  0.845  0.672  0.883  1.0
  Mn  Mn14  1  0.165  0.333  0.125  1.0
  Fe  Fe15  1  0.162  0.831  0.125  1.0
[/CIF]
.
The material structure described by Mg14MnFe 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(2), two equivalent Mg(6), four equivalent Mg(4), and four equivalent Mg(5) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Fe(1)Mg10Mn2 cuboctahedra, corners with six equivalent Mg(1)Mg12 cuboctahedra, corners with eight equivalent Mg(3)Mg8Mn2Fe2 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with four equivalent Mg(6)Mg11Mn cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Mg(6)Mg11Mn cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with two equivalent Mn(1)Mg10Fe2 cuboctahedra, and faces with four equivalent Mg(4)Mg12 cuboctahedra. In the second Mg site, Mg(2) is bonded to two equivalent Mg(1), two equivalent Mg(7), four equivalent Mg(4), and four equivalent Mg(5) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Mn(1)Mg10Fe2 cuboctahedra, corners with six equivalent Mg(2)Mg12 cuboctahedra, corners with eight equivalent Mg(3)Mg8Mn2Fe2 cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Fe(1)Mg10Mn2 cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, and faces with six equivalent Mg(6)Mg11Mn cuboctahedra. In the third Mg site, Mg(3) is bonded to two equivalent Mg(3), two equivalent Mg(5), two equivalent Mg(6), two equivalent Mg(7), two equivalent Mn(1), and two equivalent Fe(1) atoms to form distorted MgMg8Mn2Fe2 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra, corners with four equivalent Mg(2)Mg12 cuboctahedra, corners with four equivalent Mg(4)Mg12 cuboctahedra, corners with six equivalent Mg(3)Mg8Mn2Fe2 cuboctahedra, edges with two equivalent Mg(3)Mg8Mn2Fe2 cuboctahedra, edges with two equivalent Mn(1)Mg10Fe2 cuboctahedra, edges with two equivalent Fe(1)Mg10Mn2 cuboctahedra, edges with four equivalent Mg(6)Mg11Mn cuboctahedra, faces with two equivalent Mg(6)Mg11Mn cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Mg(3)Mg8Mn2Fe2 cuboctahedra, faces with two equivalent Mn(1)Mg10Fe2 cuboctahedra, and faces with two equivalent Fe(1)Mg10Mn2 cuboctahedra. In the fourth Mg site, Mg(4) is bonded to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(4), two equivalent Mg(5), two equivalent Mg(6), and two equivalent Mg(7) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Mg(3)Mg8Mn2Fe2 cuboctahedra, corners with four equivalent Mn(1)Mg10Fe2 cuboctahedra, corners with four equivalent Fe(1)Mg10Mn2 cuboctahedra, corners with six equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with two equivalent Mg(4)Mg12 cuboctahedra, edges with four equivalent Mg(6)Mg11Mn cuboctahedra, faces with two equivalent Mg(6)Mg11Mn cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, and faces with two equivalent Mg(3)Mg8Mn2Fe2 cuboctahedra. In the fifth Mg site, Mg(5) is bonded in a 2-coordinate geometry to one Mg(1), one Mg(2), one Mg(3), one Mg(4), two equivalent Mg(6), one Mn(1), and one Fe(1) atom. In the sixth Mg site, Mg(6) is bonded to one Mg(1), two equivalent Mg(3), two equivalent Mg(4), two equivalent Mg(7), four equivalent Mg(5), and one Mn(1) atom to form distorted MgMg11Mn cuboctahedra that share corners with six equivalent Mg(6)Mg11Mn cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with two equivalent Mn(1)Mg10Fe2 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with four equivalent Mg(3)Mg8Mn2Fe2 cuboctahedra,  a faceface with one Mg(1)Mg12 cuboctahedra,  a faceface with one Mn(1)Mg10Fe2 cuboctahedra, faces with two equivalent Mg(6)Mg11Mn cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Mg(3)Mg8Mn2Fe2 cuboctahedra, faces with three equivalent Mg(2)Mg12 cuboctahedra, and faces with three equivalent Fe(1)Mg10Mn2 cuboctahedra. In the seventh Mg site, Mg(7) is bonded in a distorted single-bond geometry to one Mg(2), two equivalent Mg(3), two equivalent Mg(4), two equivalent Mg(6), and one Fe(1) atom. Mn(1) is bonded to two equivalent Mg(6), four equivalent Mg(3), four equivalent Mg(5), and two equivalent Fe(1) atoms to form MnMg10Fe2 cuboctahedra that share corners with four equivalent Mg(2)Mg12 cuboctahedra, corners with six equivalent Mn(1)Mg10Fe2 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Fe(1)Mg10Mn2 cuboctahedra, edges with four equivalent Mg(6)Mg11Mn cuboctahedra, edges with four equivalent Mg(3)Mg8Mn2Fe2 cuboctahedra, faces with two equivalent Mg(6)Mg11Mn cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Fe(1)Mg10Mn2 cuboctahedra, and faces with four equivalent Mg(3)Mg8Mn2Fe2 cuboctahedra. Fe(1) is bonded to two equivalent Mg(7), four equivalent Mg(3), four equivalent Mg(5), and two equivalent Mn(1) atoms to form FeMg10Mn2 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra, corners with six equivalent Fe(1)Mg10Mn2 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Mn(1)Mg10Fe2 cuboctahedra, edges with four equivalent Mg(3)Mg8Mn2Fe2 cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with two equivalent Mn(1)Mg10Fe2 cuboctahedra, faces with four equivalent Mg(3)Mg8Mn2Fe2 cuboctahedra, and faces with six equivalent Mg(6)Mg11Mn cuboctahedra. is represented by the CIF card [CIF]
data_Mg14MnFe
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.304
_cell_length_b   6.250
_cell_length_c   9.874
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   119.717
_symmetry_Int_Tables_number   1
_cell_volume   337.882
_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  0.169  0.335  0.625  1.0
  Mg  Mg1  1  0.168  0.834  0.625  1.0
  Mg  Mg2  1  0.668  0.333  0.125  1.0
  Mg  Mg3  1  0.665  0.333  0.625  1.0
  Mg  Mg4  1  0.668  0.836  0.125  1.0
  Mg  Mg5  1  0.665  0.832  0.625  1.0
  Mg  Mg6  1  0.324  0.160  0.359  1.0
  Mg  Mg7  1  0.324  0.160  0.891  1.0
  Mg  Mg8  1  0.324  0.664  0.359  1.0
  Mg  Mg9  1  0.324  0.664  0.891  1.0
  Mg  Mg10  1  0.842  0.171  0.371  1.0
  Mg  Mg11  1  0.842  0.171  0.879  1.0
  Mg  Mg12  1  0.845  0.672  0.367  1.0
  Mg  Mg13  1  0.845  0.672  0.883  1.0
  Mn  Mn14  1  0.165  0.333  0.125  1.0
  Fe  Fe15  1  0.162  0.831  0.125  1.0
[/CIF]
.