The material described by Mg14FeSn crystallizes in the orthorhombic Amm2 space group. There are nine inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Mg(2); two equivalent Mg(6); four Mg(4,4); and four Mg(5,5) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Sn(1)Mg10Fe2 cuboctahedra; corners with six equivalent Mg(1)Mg12 cuboctahedra; corners with eight equivalent Mg(3)Mg8Fe2Sn2 cuboctahedra; edges with two equivalent Mg(2)Mg12 cuboctahedra; edges with four equivalent Mg(6)Mg11Fe cuboctahedra; edges with four Mg(4,4)Mg12 cuboctahedra; edges with eight Mg(5,5)Mg10FeSn cuboctahedra; faces with two equivalent Mg(6)Mg11Fe cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with two equivalent Fe(1)Mg10Sn2 cuboctahedra; faces with four Mg(5,5)Mg10FeSn cuboctahedra; faces with four Mg(4,4)Mg12 cuboctahedra; and faces with six equivalent Mg(7)Mg11Sn cuboctahedra. In the second Mg site, Mg(2) is bonded to two equivalent Mg(1); two equivalent Mg(7); four Mg(4,4); and four Mg(5,5) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Fe(1)Mg10Sn2 cuboctahedra; corners with six equivalent Mg(2)Mg12 cuboctahedra; corners with eight equivalent Mg(3)Mg8Fe2Sn2 cuboctahedra; edges with two equivalent Mg(1)Mg12 cuboctahedra; edges with four equivalent Mg(7)Mg11Sn cuboctahedra; edges with four Mg(4,4)Mg12 cuboctahedra; edges with eight Mg(5,5)Mg10FeSn cuboctahedra; faces with two equivalent Mg(7)Mg11Sn cuboctahedra; faces with two equivalent Mg(1)Mg12 cuboctahedra; faces with two equivalent Sn(1)Mg10Fe2 cuboctahedra; faces with four Mg(5,5)Mg10FeSn cuboctahedra; faces with four Mg(4,4)Mg12 cuboctahedra; and faces with six equivalent Mg(6)Mg11Fe cuboctahedra. In the third Mg site, Mg(3) is bonded to two equivalent Mg(3); two Mg(5,5); two equivalent Mg(6); two equivalent Mg(7); two equivalent Fe(1); and two equivalent Sn(1) atoms to form distorted MgMg8Fe2Sn2 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)Mg8Fe2Sn2 cuboctahedra; edges with two equivalent Mg(3)Mg8Fe2Sn2 cuboctahedra; edges with two equivalent Fe(1)Mg10Sn2 cuboctahedra; edges with two equivalent Sn(1)Mg10Fe2 cuboctahedra; edges with four equivalent Mg(5)Mg10FeSn cuboctahedra; edges with four equivalent Mg(6)Mg11Fe cuboctahedra; edges with four equivalent Mg(7)Mg11Sn cuboctahedra; faces with two equivalent Mg(6)Mg11Fe cuboctahedra; faces with two equivalent Mg(7)Mg11Sn cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Mg(3)Mg8Fe2Sn2 cuboctahedra; faces with two equivalent Fe(1)Mg10Sn2 cuboctahedra; faces with two equivalent Sn(1)Mg10Fe2 cuboctahedra; and faces with eight Mg(5,5)Mg10FeSn cuboctahedra. In the fourth Mg site, Mg(4) is bonded to two equivalent Mg(1); two equivalent Mg(2); two equivalent Mg(4); two Mg(5,5); two equivalent Mg(6); and two equivalent Mg(7) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Mg(3)Mg8Fe2Sn2 cuboctahedra; corners with four equivalent Fe(1)Mg10Sn2 cuboctahedra; corners with four equivalent Sn(1)Mg10Fe2 cuboctahedra; corners with six Mg(4,4)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(5)Mg10FeSn cuboctahedra; edges with four equivalent Mg(6)Mg11Fe cuboctahedra; edges with four equivalent Mg(7)Mg11Sn cuboctahedra; faces with two equivalent Mg(6)Mg11Fe cuboctahedra; faces with two equivalent Mg(7)Mg11Sn 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; faces with two equivalent Mg(3)Mg8Fe2Sn2 cuboctahedra; and faces with eight Mg(5,5)Mg10FeSn cuboctahedra. In the fifth Mg site, Mg(5) is bonded to one Mg(1), one Mg(2), one Mg(3), one Mg(4), two equivalent Mg(5), two equivalent Mg(6), two equivalent Mg(7), one Fe(1), and one Sn(1) atom to form distorted MgMg10FeSn cuboctahedra that share corners with four equivalent Mg(6)Mg11Fe cuboctahedra; corners with four equivalent Mg(7)Mg11Sn cuboctahedra; corners with ten Mg(5,5)Mg10FeSn cuboctahedra; edges with two equivalent Mg(5)Mg10FeSn cuboctahedra; edges with two equivalent Mg(6)Mg11Fe cuboctahedra; edges with two equivalent Mg(7)Mg11Sn 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 two equivalent Mg(3)Mg8Fe2Sn2 cuboctahedra; edges with two equivalent Fe(1)Mg10Sn2 cuboctahedra; edges with two equivalent Sn(1)Mg10Fe2 cuboctahedra;  a faceface with one Mg(1)Mg12 cuboctahedra;  a faceface with one Mg(2)Mg12 cuboctahedra;  a faceface with one Fe(1)Mg10Sn2 cuboctahedra;  a faceface with one Sn(1)Mg10Fe2 cuboctahedra; faces with two equivalent Mg(6)Mg11Fe cuboctahedra; faces with two equivalent Mg(7)Mg11Sn cuboctahedra; faces with four Mg(5,5)Mg10FeSn cuboctahedra; faces with four Mg(4,4)Mg12 cuboctahedra; and faces with four equivalent Mg(3)Mg8Fe2Sn2 cuboctahedra. In the sixth Mg site, Mg(5) is bonded to one Mg(1), one Mg(2), one Mg(3), one Mg(4), two equivalent Mg(5), two equivalent Mg(6), two equivalent Mg(7), one Fe(1), and one Sn(1) atom to form distorted MgMg10FeSn cuboctahedra that share corners with four equivalent Mg(6)Mg11Fe cuboctahedra; corners with four equivalent Mg(7)Mg11Sn cuboctahedra; corners with ten Mg(5,5)Mg10FeSn cuboctahedra; edges with two equivalent Mg(5)Mg10FeSn cuboctahedra; edges with two equivalent Mg(6)Mg11Fe cuboctahedra; edges with two equivalent Mg(7)Mg11Sn 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 two equivalent Mg(3)Mg8Fe2Sn2 cuboctahedra; edges with two equivalent Fe(1)Mg10Sn2 cuboctahedra; edges with two equivalent Sn(1)Mg10Fe2 cuboctahedra;  a faceface with one Mg(1)Mg12 cuboctahedra;  a faceface with one Mg(2)Mg12 cuboctahedra;  a faceface with one Fe(1)Mg10Sn2 cuboctahedra;  a faceface with one Sn(1)Mg10Fe2 cuboctahedra; faces with two equivalent Mg(6)Mg11Fe cuboctahedra; faces with two equivalent Mg(7)Mg11Sn cuboctahedra; faces with four equivalent Mg(5)Mg10FeSn cuboctahedra; faces with four Mg(4,4)Mg12 cuboctahedra; and faces with four equivalent Mg(3)Mg8Fe2Sn2 cuboctahedra. In the seventh Mg site, Mg(6) is bonded to one Mg(1); two equivalent Mg(3); two Mg(4,4); two equivalent Mg(7); four Mg(5,5); and one Fe(1) atom to form distorted MgMg11Fe cuboctahedra that share corners with four equivalent Mg(7)Mg11Sn cuboctahedra; corners with six equivalent Mg(6)Mg11Fe cuboctahedra; corners with eight Mg(5,5)Mg10FeSn cuboctahedra; edges with two equivalent Mg(7)Mg11Sn cuboctahedra; edges with two equivalent Mg(1)Mg12 cuboctahedra; edges with two equivalent Fe(1)Mg10Sn2 cuboctahedra; edges with four Mg(5,5)Mg10FeSn cuboctahedra; edges with four Mg(4,4)Mg12 cuboctahedra; edges with four equivalent Mg(3)Mg8Fe2Sn2 cuboctahedra;  a faceface with one Mg(1)Mg12 cuboctahedra;  a faceface with one Fe(1)Mg10Sn2 cuboctahedra; faces with two equivalent Mg(6)Mg11Fe cuboctahedra; faces with two equivalent Mg(7)Mg11Sn cuboctahedra; faces with two Mg(4,4)Mg12 cuboctahedra; faces with two equivalent Mg(3)Mg8Fe2Sn2 cuboctahedra; faces with three equivalent Mg(2)Mg12 cuboctahedra; faces with three equivalent Sn(1)Mg10Fe2 cuboctahedra; and faces with four Mg(5,5)Mg10FeSn cuboctahedra. In the eighth Mg site, Mg(7) is bonded to one Mg(2); two equivalent Mg(3); two Mg(4,4); two equivalent Mg(6); four Mg(5,5); and one Sn(1) atom to form distorted MgMg11Sn cuboctahedra that share corners with four equivalent Mg(6)Mg11Fe cuboctahedra; corners with six equivalent Mg(7)Mg11Sn cuboctahedra; corners with eight Mg(5,5)Mg10FeSn cuboctahedra; edges with two equivalent Mg(6)Mg11Fe cuboctahedra; edges with two equivalent Mg(2)Mg12 cuboctahedra; edges with two equivalent Sn(1)Mg10Fe2 cuboctahedra; edges with four Mg(5,5)Mg10FeSn cuboctahedra; edges with four Mg(4,4)Mg12 cuboctahedra; edges with four equivalent Mg(3)Mg8Fe2Sn2 cuboctahedra;  a faceface with one Mg(2)Mg12 cuboctahedra;  a faceface with one Sn(1)Mg10Fe2 cuboctahedra; faces with two equivalent Mg(6)Mg11Fe cuboctahedra; faces with two equivalent Mg(7)Mg11Sn cuboctahedra; faces with two Mg(4,4)Mg12 cuboctahedra; faces with two equivalent Mg(3)Mg8Fe2Sn2 cuboctahedra; faces with three equivalent Mg(1)Mg12 cuboctahedra; faces with three equivalent Fe(1)Mg10Sn2 cuboctahedra; and faces with four Mg(5,5)Mg10FeSn cuboctahedra. In the ninth 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)Mg8Fe2Sn2 cuboctahedra; corners with four equivalent Fe(1)Mg10Sn2 cuboctahedra; corners with four equivalent Sn(1)Mg10Fe2 cuboctahedra; corners with six Mg(4,4)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 Mg(5,5)Mg10FeSn cuboctahedra; edges with four equivalent Mg(6)Mg11Fe cuboctahedra; edges with four equivalent Mg(7)Mg11Sn cuboctahedra; faces with two equivalent Mg(6)Mg11Fe cuboctahedra; faces with two equivalent Mg(7)Mg11Sn 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; faces with two equivalent Mg(3)Mg8Fe2Sn2 cuboctahedra; and faces with eight Mg(5,5)Mg10FeSn cuboctahedra. Fe(1) is bonded to two equivalent Mg(6); four equivalent Mg(3); four Mg(5,5); and two equivalent Sn(1) atoms to form FeMg10Sn2 cuboctahedra that share corners with four equivalent Mg(2)Mg12 cuboctahedra; corners with six equivalent Fe(1)Mg10Sn2 cuboctahedra; corners with eight Mg(4,4)Mg12 cuboctahedra; edges with two equivalent Sn(1)Mg10Fe2 cuboctahedra; edges with four equivalent Mg(6)Mg11Fe cuboctahedra; edges with four equivalent Mg(3)Mg8Fe2Sn2 cuboctahedra; edges with eight Mg(5,5)Mg10FeSn cuboctahedra; faces with two equivalent Mg(6)Mg11Fe cuboctahedra; faces with two equivalent Mg(1)Mg12 cuboctahedra; faces with two equivalent Sn(1)Mg10Fe2 cuboctahedra; faces with four Mg(5,5)Mg10FeSn cuboctahedra; faces with four equivalent Mg(3)Mg8Fe2Sn2 cuboctahedra; and faces with six equivalent Mg(7)Mg11Sn cuboctahedra. Sn(1) is bonded to two equivalent Mg(7); four equivalent Mg(3); four Mg(5,5); and two equivalent Fe(1) atoms to form SnMg10Fe2 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra; corners with six equivalent Sn(1)Mg10Fe2 cuboctahedra; corners with eight Mg(4,4)Mg12 cuboctahedra; edges with two equivalent Fe(1)Mg10Sn2 cuboctahedra; edges with four equivalent Mg(7)Mg11Sn cuboctahedra; edges with four equivalent Mg(3)Mg8Fe2Sn2 cuboctahedra; edges with eight Mg(5,5)Mg10FeSn cuboctahedra; faces with two equivalent Mg(7)Mg11Sn cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with two equivalent Fe(1)Mg10Sn2 cuboctahedra; faces with four Mg(5,5)Mg10FeSn cuboctahedra; faces with four equivalent Mg(3)Mg8Fe2Sn2 cuboctahedra; and faces with six equivalent Mg(6)Mg11Fe cuboctahedra. is represented by the CIF file [CIF]
data_Mg14FeSn
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.274
_cell_length_b   6.285
_cell_length_c   10.243
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   120.056
_symmetry_Int_Tables_number   1
_cell_volume   349.600
_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  0.167  0.334  0.625  1.0
  Mg  Mg1  1  0.168  0.834  0.625  1.0
  Mg  Mg2  1  0.670  0.335  0.125  1.0
  Mg  Mg3  1  0.666  0.332  0.625  1.0
  Mg  Mg4  1  0.670  0.835  0.125  1.0
  Mg  Mg5  1  0.666  0.834  0.625  1.0
  Mg  Mg6  1  0.329  0.171  0.367  1.0
  Mg  Mg7  1  0.329  0.171  0.883  1.0
  Mg  Mg8  1  0.329  0.658  0.367  1.0
  Mg  Mg9  1  0.329  0.658  0.883  1.0
  Mg  Mg10  1  0.842  0.171  0.368  1.0
  Mg  Mg11  1  0.842  0.171  0.882  1.0
  Mg  Mg12  1  0.832  0.666  0.378  1.0
  Mg  Mg13  1  0.832  0.666  0.872  1.0
  Fe  Fe14  1  0.166  0.333  0.125  1.0
  Sn  Sn15  1  0.162  0.831  0.125  1.0
[/CIF]
.
The material described by Mg14FeSn crystallizes in the orthorhombic Amm2 space group. There are nine inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Mg(2); two equivalent Mg(6); four Mg(4,4); and four Mg(5,5) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Sn(1)Mg10Fe2 cuboctahedra; corners with six equivalent Mg(1)Mg12 cuboctahedra; corners with eight equivalent Mg(3)Mg8Fe2Sn2 cuboctahedra; edges with two equivalent Mg(2)Mg12 cuboctahedra; edges with four equivalent Mg(6)Mg11Fe cuboctahedra; edges with four Mg(4,4)Mg12 cuboctahedra; edges with eight Mg(5,5)Mg10FeSn cuboctahedra; faces with two equivalent Mg(6)Mg11Fe cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with two equivalent Fe(1)Mg10Sn2 cuboctahedra; faces with four Mg(5,5)Mg10FeSn cuboctahedra; faces with four Mg(4,4)Mg12 cuboctahedra; and faces with six equivalent Mg(7)Mg11Sn cuboctahedra. In the second Mg site, Mg(2) is bonded to two equivalent Mg(1); two equivalent Mg(7); four Mg(4,4); and four Mg(5,5) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Fe(1)Mg10Sn2 cuboctahedra; corners with six equivalent Mg(2)Mg12 cuboctahedra; corners with eight equivalent Mg(3)Mg8Fe2Sn2 cuboctahedra; edges with two equivalent Mg(1)Mg12 cuboctahedra; edges with four equivalent Mg(7)Mg11Sn cuboctahedra; edges with four Mg(4,4)Mg12 cuboctahedra; edges with eight Mg(5,5)Mg10FeSn cuboctahedra; faces with two equivalent Mg(7)Mg11Sn cuboctahedra; faces with two equivalent Mg(1)Mg12 cuboctahedra; faces with two equivalent Sn(1)Mg10Fe2 cuboctahedra; faces with four Mg(5,5)Mg10FeSn cuboctahedra; faces with four Mg(4,4)Mg12 cuboctahedra; and faces with six equivalent Mg(6)Mg11Fe cuboctahedra. In the third Mg site, Mg(3) is bonded to two equivalent Mg(3); two Mg(5,5); two equivalent Mg(6); two equivalent Mg(7); two equivalent Fe(1); and two equivalent Sn(1) atoms to form distorted MgMg8Fe2Sn2 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)Mg8Fe2Sn2 cuboctahedra; edges with two equivalent Mg(3)Mg8Fe2Sn2 cuboctahedra; edges with two equivalent Fe(1)Mg10Sn2 cuboctahedra; edges with two equivalent Sn(1)Mg10Fe2 cuboctahedra; edges with four equivalent Mg(5)Mg10FeSn cuboctahedra; edges with four equivalent Mg(6)Mg11Fe cuboctahedra; edges with four equivalent Mg(7)Mg11Sn cuboctahedra; faces with two equivalent Mg(6)Mg11Fe cuboctahedra; faces with two equivalent Mg(7)Mg11Sn cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Mg(3)Mg8Fe2Sn2 cuboctahedra; faces with two equivalent Fe(1)Mg10Sn2 cuboctahedra; faces with two equivalent Sn(1)Mg10Fe2 cuboctahedra; and faces with eight Mg(5,5)Mg10FeSn cuboctahedra. In the fourth Mg site, Mg(4) is bonded to two equivalent Mg(1); two equivalent Mg(2); two equivalent Mg(4); two Mg(5,5); two equivalent Mg(6); and two equivalent Mg(7) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Mg(3)Mg8Fe2Sn2 cuboctahedra; corners with four equivalent Fe(1)Mg10Sn2 cuboctahedra; corners with four equivalent Sn(1)Mg10Fe2 cuboctahedra; corners with six Mg(4,4)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(5)Mg10FeSn cuboctahedra; edges with four equivalent Mg(6)Mg11Fe cuboctahedra; edges with four equivalent Mg(7)Mg11Sn cuboctahedra; faces with two equivalent Mg(6)Mg11Fe cuboctahedra; faces with two equivalent Mg(7)Mg11Sn 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; faces with two equivalent Mg(3)Mg8Fe2Sn2 cuboctahedra; and faces with eight Mg(5,5)Mg10FeSn cuboctahedra. In the fifth Mg site, Mg(5) is bonded to one Mg(1), one Mg(2), one Mg(3), one Mg(4), two equivalent Mg(5), two equivalent Mg(6), two equivalent Mg(7), one Fe(1), and one Sn(1) atom to form distorted MgMg10FeSn cuboctahedra that share corners with four equivalent Mg(6)Mg11Fe cuboctahedra; corners with four equivalent Mg(7)Mg11Sn cuboctahedra; corners with ten Mg(5,5)Mg10FeSn cuboctahedra; edges with two equivalent Mg(5)Mg10FeSn cuboctahedra; edges with two equivalent Mg(6)Mg11Fe cuboctahedra; edges with two equivalent Mg(7)Mg11Sn 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 two equivalent Mg(3)Mg8Fe2Sn2 cuboctahedra; edges with two equivalent Fe(1)Mg10Sn2 cuboctahedra; edges with two equivalent Sn(1)Mg10Fe2 cuboctahedra;  a faceface with one Mg(1)Mg12 cuboctahedra;  a faceface with one Mg(2)Mg12 cuboctahedra;  a faceface with one Fe(1)Mg10Sn2 cuboctahedra;  a faceface with one Sn(1)Mg10Fe2 cuboctahedra; faces with two equivalent Mg(6)Mg11Fe cuboctahedra; faces with two equivalent Mg(7)Mg11Sn cuboctahedra; faces with four Mg(5,5)Mg10FeSn cuboctahedra; faces with four Mg(4,4)Mg12 cuboctahedra; and faces with four equivalent Mg(3)Mg8Fe2Sn2 cuboctahedra. In the sixth Mg site, Mg(5) is bonded to one Mg(1), one Mg(2), one Mg(3), one Mg(4), two equivalent Mg(5), two equivalent Mg(6), two equivalent Mg(7), one Fe(1), and one Sn(1) atom to form distorted MgMg10FeSn cuboctahedra that share corners with four equivalent Mg(6)Mg11Fe cuboctahedra; corners with four equivalent Mg(7)Mg11Sn cuboctahedra; corners with ten Mg(5,5)Mg10FeSn cuboctahedra; edges with two equivalent Mg(5)Mg10FeSn cuboctahedra; edges with two equivalent Mg(6)Mg11Fe cuboctahedra; edges with two equivalent Mg(7)Mg11Sn 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 two equivalent Mg(3)Mg8Fe2Sn2 cuboctahedra; edges with two equivalent Fe(1)Mg10Sn2 cuboctahedra; edges with two equivalent Sn(1)Mg10Fe2 cuboctahedra;  a faceface with one Mg(1)Mg12 cuboctahedra;  a faceface with one Mg(2)Mg12 cuboctahedra;  a faceface with one Fe(1)Mg10Sn2 cuboctahedra;  a faceface with one Sn(1)Mg10Fe2 cuboctahedra; faces with two equivalent Mg(6)Mg11Fe cuboctahedra; faces with two equivalent Mg(7)Mg11Sn cuboctahedra; faces with four equivalent Mg(5)Mg10FeSn cuboctahedra; faces with four Mg(4,4)Mg12 cuboctahedra; and faces with four equivalent Mg(3)Mg8Fe2Sn2 cuboctahedra. In the seventh Mg site, Mg(6) is bonded to one Mg(1); two equivalent Mg(3); two Mg(4,4); two equivalent Mg(7); four Mg(5,5); and one Fe(1) atom to form distorted MgMg11Fe cuboctahedra that share corners with four equivalent Mg(7)Mg11Sn cuboctahedra; corners with six equivalent Mg(6)Mg11Fe cuboctahedra; corners with eight Mg(5,5)Mg10FeSn cuboctahedra; edges with two equivalent Mg(7)Mg11Sn cuboctahedra; edges with two equivalent Mg(1)Mg12 cuboctahedra; edges with two equivalent Fe(1)Mg10Sn2 cuboctahedra; edges with four Mg(5,5)Mg10FeSn cuboctahedra; edges with four Mg(4,4)Mg12 cuboctahedra; edges with four equivalent Mg(3)Mg8Fe2Sn2 cuboctahedra;  a faceface with one Mg(1)Mg12 cuboctahedra;  a faceface with one Fe(1)Mg10Sn2 cuboctahedra; faces with two equivalent Mg(6)Mg11Fe cuboctahedra; faces with two equivalent Mg(7)Mg11Sn cuboctahedra; faces with two Mg(4,4)Mg12 cuboctahedra; faces with two equivalent Mg(3)Mg8Fe2Sn2 cuboctahedra; faces with three equivalent Mg(2)Mg12 cuboctahedra; faces with three equivalent Sn(1)Mg10Fe2 cuboctahedra; and faces with four Mg(5,5)Mg10FeSn cuboctahedra. In the eighth Mg site, Mg(7) is bonded to one Mg(2); two equivalent Mg(3); two Mg(4,4); two equivalent Mg(6); four Mg(5,5); and one Sn(1) atom to form distorted MgMg11Sn cuboctahedra that share corners with four equivalent Mg(6)Mg11Fe cuboctahedra; corners with six equivalent Mg(7)Mg11Sn cuboctahedra; corners with eight Mg(5,5)Mg10FeSn cuboctahedra; edges with two equivalent Mg(6)Mg11Fe cuboctahedra; edges with two equivalent Mg(2)Mg12 cuboctahedra; edges with two equivalent Sn(1)Mg10Fe2 cuboctahedra; edges with four Mg(5,5)Mg10FeSn cuboctahedra; edges with four Mg(4,4)Mg12 cuboctahedra; edges with four equivalent Mg(3)Mg8Fe2Sn2 cuboctahedra;  a faceface with one Mg(2)Mg12 cuboctahedra;  a faceface with one Sn(1)Mg10Fe2 cuboctahedra; faces with two equivalent Mg(6)Mg11Fe cuboctahedra; faces with two equivalent Mg(7)Mg11Sn cuboctahedra; faces with two Mg(4,4)Mg12 cuboctahedra; faces with two equivalent Mg(3)Mg8Fe2Sn2 cuboctahedra; faces with three equivalent Mg(1)Mg12 cuboctahedra; faces with three equivalent Fe(1)Mg10Sn2 cuboctahedra; and faces with four Mg(5,5)Mg10FeSn cuboctahedra. In the ninth 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)Mg8Fe2Sn2 cuboctahedra; corners with four equivalent Fe(1)Mg10Sn2 cuboctahedra; corners with four equivalent Sn(1)Mg10Fe2 cuboctahedra; corners with six Mg(4,4)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 Mg(5,5)Mg10FeSn cuboctahedra; edges with four equivalent Mg(6)Mg11Fe cuboctahedra; edges with four equivalent Mg(7)Mg11Sn cuboctahedra; faces with two equivalent Mg(6)Mg11Fe cuboctahedra; faces with two equivalent Mg(7)Mg11Sn 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; faces with two equivalent Mg(3)Mg8Fe2Sn2 cuboctahedra; and faces with eight Mg(5,5)Mg10FeSn cuboctahedra. Fe(1) is bonded to two equivalent Mg(6); four equivalent Mg(3); four Mg(5,5); and two equivalent Sn(1) atoms to form FeMg10Sn2 cuboctahedra that share corners with four equivalent Mg(2)Mg12 cuboctahedra; corners with six equivalent Fe(1)Mg10Sn2 cuboctahedra; corners with eight Mg(4,4)Mg12 cuboctahedra; edges with two equivalent Sn(1)Mg10Fe2 cuboctahedra; edges with four equivalent Mg(6)Mg11Fe cuboctahedra; edges with four equivalent Mg(3)Mg8Fe2Sn2 cuboctahedra; edges with eight Mg(5,5)Mg10FeSn cuboctahedra; faces with two equivalent Mg(6)Mg11Fe cuboctahedra; faces with two equivalent Mg(1)Mg12 cuboctahedra; faces with two equivalent Sn(1)Mg10Fe2 cuboctahedra; faces with four Mg(5,5)Mg10FeSn cuboctahedra; faces with four equivalent Mg(3)Mg8Fe2Sn2 cuboctahedra; and faces with six equivalent Mg(7)Mg11Sn cuboctahedra. Sn(1) is bonded to two equivalent Mg(7); four equivalent Mg(3); four Mg(5,5); and two equivalent Fe(1) atoms to form SnMg10Fe2 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra; corners with six equivalent Sn(1)Mg10Fe2 cuboctahedra; corners with eight Mg(4,4)Mg12 cuboctahedra; edges with two equivalent Fe(1)Mg10Sn2 cuboctahedra; edges with four equivalent Mg(7)Mg11Sn cuboctahedra; edges with four equivalent Mg(3)Mg8Fe2Sn2 cuboctahedra; edges with eight Mg(5,5)Mg10FeSn cuboctahedra; faces with two equivalent Mg(7)Mg11Sn cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with two equivalent Fe(1)Mg10Sn2 cuboctahedra; faces with four Mg(5,5)Mg10FeSn cuboctahedra; faces with four equivalent Mg(3)Mg8Fe2Sn2 cuboctahedra; and faces with six equivalent Mg(6)Mg11Fe cuboctahedra. is represented by the CIF file [CIF]
data_Mg14FeSn
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.274
_cell_length_b   6.285
_cell_length_c   10.243
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   120.056
_symmetry_Int_Tables_number   1
_cell_volume   349.600
_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  0.167  0.334  0.625  1.0
  Mg  Mg1  1  0.168  0.834  0.625  1.0
  Mg  Mg2  1  0.670  0.335  0.125  1.0
  Mg  Mg3  1  0.666  0.332  0.625  1.0
  Mg  Mg4  1  0.670  0.835  0.125  1.0
  Mg  Mg5  1  0.666  0.834  0.625  1.0
  Mg  Mg6  1  0.329  0.171  0.367  1.0
  Mg  Mg7  1  0.329  0.171  0.883  1.0
  Mg  Mg8  1  0.329  0.658  0.367  1.0
  Mg  Mg9  1  0.329  0.658  0.883  1.0
  Mg  Mg10  1  0.842  0.171  0.368  1.0
  Mg  Mg11  1  0.842  0.171  0.882  1.0
  Mg  Mg12  1  0.832  0.666  0.378  1.0
  Mg  Mg13  1  0.832  0.666  0.872  1.0
  Fe  Fe14  1  0.166  0.333  0.125  1.0
  Sn  Sn15  1  0.162  0.831  0.125  1.0
[/CIF]
.