The material structure described by Mg14AlSn crystallizes in the orthorhombic Amm2 space group. There are thirteen inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Mg(2); two equivalent Mg(6); four Mg(4,4,4); and four Mg(5,5,5) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Sn(1)Mg10Al2 cuboctahedra; corners with six equivalent Mg(1)Mg12 cuboctahedra; corners with eight Mg(3,3)Mg8Al2Sn2 cuboctahedra; edges with two equivalent Mg(2)Mg12 cuboctahedra; edges with four equivalent Mg(6)Mg11Al cuboctahedra; edges with four Mg(4,4,4)Mg12 cuboctahedra; edges with eight Mg(5,5,5,5)Mg10AlSn cuboctahedra; faces with two equivalent Mg(6)Mg11Al cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with two equivalent Al(1)Mg10Sn2 cuboctahedra; faces with four Mg(5,5,5)Mg10AlSn cuboctahedra; faces with four Mg(4,4,4)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(4,4,4); and four Mg(5,5,5) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Al(1)Mg10Sn2 cuboctahedra; corners with six equivalent Mg(2)Mg12 cuboctahedra; corners with eight Mg(3,3)Mg8Al2Sn2 cuboctahedra; edges with two equivalent Mg(1)Mg12 cuboctahedra; edges with four equivalent Mg(7)Mg11Sn cuboctahedra; edges with four Mg(4,4,4)Mg12 cuboctahedra; edges with eight Mg(5,5,5,5)Mg10AlSn cuboctahedra; faces with two equivalent Mg(7)Mg11Sn cuboctahedra; faces with two equivalent Mg(1)Mg12 cuboctahedra; faces with two equivalent Sn(1)Mg10Al2 cuboctahedra; faces with four Mg(5,5,5)Mg10AlSn cuboctahedra; faces with four Mg(4,4,4)Mg12 cuboctahedra; and faces with six equivalent Mg(6)Mg11Al 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 Al(1); and two equivalent Sn(1) atoms to form distorted MgMg8Al2Sn2 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 Mg(3,3)Mg8Al2Sn2 cuboctahedra; edges with two equivalent Mg(3)Mg8Al2Sn2 cuboctahedra; edges with two equivalent Al(1)Mg10Sn2 cuboctahedra; edges with two equivalent Sn(1)Mg10Al2 cuboctahedra; edges with four Mg(5,5)Mg10AlSn cuboctahedra; edges with four equivalent Mg(6)Mg11Al cuboctahedra; edges with four equivalent Mg(7)Mg11Sn cuboctahedra; faces with two equivalent Mg(6)Mg11Al cuboctahedra; faces with two equivalent Mg(7)Mg11Sn cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Mg(3)Mg8Al2Sn2 cuboctahedra; faces with two equivalent Al(1)Mg10Sn2 cuboctahedra; faces with two equivalent Sn(1)Mg10Al2 cuboctahedra; and faces with eight Mg(5,5,5,5)Mg10AlSn 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)Mg8Al2Sn2 cuboctahedra; corners with four equivalent Al(1)Mg10Sn2 cuboctahedra; corners with four equivalent Sn(1)Mg10Al2 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)Mg10AlSn cuboctahedra; edges with four equivalent Mg(6)Mg11Al cuboctahedra; edges with four equivalent Mg(7)Mg11Sn cuboctahedra; faces with two equivalent Mg(6)Mg11Al 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)Mg8Al2Sn2 cuboctahedra; and faces with eight Mg(5,5,5,5)Mg10AlSn cuboctahedra. In the fifth 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 Al(1); and two equivalent Sn(1) atoms to form distorted MgMg8Al2Sn2 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 Mg(3,3)Mg8Al2Sn2 cuboctahedra; edges with two equivalent Mg(3)Mg8Al2Sn2 cuboctahedra; edges with two equivalent Al(1)Mg10Sn2 cuboctahedra; edges with two equivalent Sn(1)Mg10Al2 cuboctahedra; edges with four Mg(5,5)Mg10AlSn cuboctahedra; edges with four equivalent Mg(6)Mg11Al cuboctahedra; edges with four equivalent Mg(7)Mg11Sn cuboctahedra; faces with two equivalent Mg(6)Mg11Al cuboctahedra; faces with two equivalent Mg(7)Mg11Sn cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Mg(3)Mg8Al2Sn2 cuboctahedra; faces with two equivalent Al(1)Mg10Sn2 cuboctahedra; faces with two equivalent Sn(1)Mg10Al2 cuboctahedra; and faces with eight Mg(5,5,5)Mg10AlSn 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 Al(1), and one Sn(1) atom to form distorted MgMg10AlSn cuboctahedra that share corners with four equivalent Mg(6)Mg11Al cuboctahedra; corners with four equivalent Mg(7)Mg11Sn cuboctahedra; corners with ten equivalent Mg(5)Mg10AlSn cuboctahedra; edges with two equivalent Mg(5)Mg10AlSn cuboctahedra; edges with two equivalent Mg(6)Mg11Al 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)Mg8Al2Sn2 cuboctahedra; edges with two equivalent Al(1)Mg10Sn2 cuboctahedra; edges with two equivalent Sn(1)Mg10Al2 cuboctahedra;  a faceface with one Mg(1)Mg12 cuboctahedra;  a faceface with one Mg(2)Mg12 cuboctahedra;  a faceface with one Al(1)Mg10Sn2 cuboctahedra;  a faceface with one Sn(1)Mg10Al2 cuboctahedra; faces with two equivalent Mg(6)Mg11Al cuboctahedra; faces with two equivalent Mg(7)Mg11Sn cuboctahedra; faces with four Mg(5,5)Mg10AlSn cuboctahedra; faces with four Mg(4,4)Mg12 cuboctahedra; and faces with four Mg(3,3)Mg8Al2Sn2 cuboctahedra. In the seventh 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 Al(1), and one Sn(1) atom to form distorted MgMg10AlSn cuboctahedra that share corners with four equivalent Mg(6)Mg11Al cuboctahedra; corners with four equivalent Mg(7)Mg11Sn cuboctahedra; corners with ten Mg(5,5)Mg10AlSn cuboctahedra; edges with two equivalent Mg(5)Mg10AlSn cuboctahedra; edges with two equivalent Mg(6)Mg11Al 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)Mg8Al2Sn2 cuboctahedra; edges with two equivalent Al(1)Mg10Sn2 cuboctahedra; edges with two equivalent Sn(1)Mg10Al2 cuboctahedra;  a faceface with one Mg(1)Mg12 cuboctahedra;  a faceface with one Mg(2)Mg12 cuboctahedra;  a faceface with one Al(1)Mg10Sn2 cuboctahedra;  a faceface with one Sn(1)Mg10Al2 cuboctahedra; faces with two equivalent Mg(6)Mg11Al cuboctahedra; faces with two equivalent Mg(7)Mg11Sn cuboctahedra; faces with four equivalent Mg(5)Mg10AlSn cuboctahedra; faces with four Mg(4,4)Mg12 cuboctahedra; and faces with four Mg(3,3)Mg8Al2Sn2 cuboctahedra. In the eighth 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 Al(1), and one Sn(1) atom to form distorted MgMg10AlSn cuboctahedra that share corners with four equivalent Mg(6)Mg11Al cuboctahedra; corners with four equivalent Mg(7)Mg11Sn cuboctahedra; corners with ten Mg(5,5,5)Mg10AlSn cuboctahedra; edges with two equivalent Mg(5)Mg10AlSn cuboctahedra; edges with two equivalent Mg(6)Mg11Al 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)Mg8Al2Sn2 cuboctahedra; edges with two equivalent Al(1)Mg10Sn2 cuboctahedra; edges with two equivalent Sn(1)Mg10Al2 cuboctahedra;  a faceface with one Mg(1)Mg12 cuboctahedra;  a faceface with one Mg(2)Mg12 cuboctahedra;  a faceface with one Al(1)Mg10Sn2 cuboctahedra;  a faceface with one Sn(1)Mg10Al2 cuboctahedra; faces with two equivalent Mg(6)Mg11Al cuboctahedra; faces with two equivalent Mg(7)Mg11Sn cuboctahedra; faces with four equivalent Mg(5)Mg10AlSn cuboctahedra; faces with four Mg(4,4)Mg12 cuboctahedra; and faces with four Mg(3,3)Mg8Al2Sn2 cuboctahedra. In the ninth Mg site, Mg(6) is bonded to one Mg(1); two equivalent Mg(3); two Mg(4,4); two equivalent Mg(7); four Mg(5,5,5); and one Al(1) atom to form distorted MgMg11Al cuboctahedra that share corners with four equivalent Mg(7)Mg11Sn cuboctahedra; corners with six equivalent Mg(6)Mg11Al cuboctahedra; corners with eight Mg(5,5)Mg10AlSn cuboctahedra; edges with two equivalent Mg(7)Mg11Sn cuboctahedra; edges with two equivalent Mg(1)Mg12 cuboctahedra; edges with two equivalent Al(1)Mg10Sn2 cuboctahedra; edges with four Mg(5,5,5)Mg10AlSn cuboctahedra; edges with four Mg(4,4,4)Mg12 cuboctahedra; edges with four Mg(3,3)Mg8Al2Sn2 cuboctahedra;  a faceface with one Mg(1)Mg12 cuboctahedra;  a faceface with one Al(1)Mg10Sn2 cuboctahedra; faces with two equivalent Mg(6)Mg11Al cuboctahedra; faces with two equivalent Mg(7)Mg11Sn cuboctahedra; faces with two Mg(4,4)Mg12 cuboctahedra; faces with two equivalent Mg(3)Mg8Al2Sn2 cuboctahedra; faces with three equivalent Mg(2)Mg12 cuboctahedra; faces with three equivalent Sn(1)Mg10Al2 cuboctahedra; and faces with four Mg(5,5,5)Mg10AlSn cuboctahedra. In the tenth Mg site, Mg(7) is bonded to one Mg(2); two equivalent Mg(3); two Mg(4,4); two equivalent Mg(6); four Mg(5,5,5); and one Sn(1) atom to form distorted MgMg11Sn cuboctahedra that share corners with four equivalent Mg(6)Mg11Al cuboctahedra; corners with six equivalent Mg(7)Mg11Sn cuboctahedra; corners with eight Mg(5,5)Mg10AlSn cuboctahedra; edges with two equivalent Mg(6)Mg11Al cuboctahedra; edges with two equivalent Mg(2)Mg12 cuboctahedra; edges with two equivalent Sn(1)Mg10Al2 cuboctahedra; edges with four Mg(5,5,5)Mg10AlSn cuboctahedra; edges with four Mg(4,4,4)Mg12 cuboctahedra; edges with four Mg(3,3)Mg8Al2Sn2 cuboctahedra;  a faceface with one Mg(2)Mg12 cuboctahedra;  a faceface with one Sn(1)Mg10Al2 cuboctahedra; faces with two equivalent Mg(6)Mg11Al cuboctahedra; faces with two equivalent Mg(7)Mg11Sn cuboctahedra; faces with two Mg(4,4)Mg12 cuboctahedra; faces with two equivalent Mg(3)Mg8Al2Sn2 cuboctahedra; faces with three equivalent Mg(1)Mg12 cuboctahedra; faces with three equivalent Al(1)Mg10Sn2 cuboctahedra; and faces with four Mg(5,5,5)Mg10AlSn cuboctahedra. In the eleventh 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)Mg8Al2Sn2 cuboctahedra; corners with four equivalent Al(1)Mg10Sn2 cuboctahedra; corners with four equivalent Sn(1)Mg10Al2 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)Mg10AlSn cuboctahedra; edges with four equivalent Mg(6)Mg11Al cuboctahedra; edges with four equivalent Mg(7)Mg11Sn cuboctahedra; faces with two equivalent Mg(6)Mg11Al 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)Mg8Al2Sn2 cuboctahedra; and faces with eight Mg(5,5,5,5)Mg10AlSn cuboctahedra. In the twelfth 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)Mg8Al2Sn2 cuboctahedra; corners with four equivalent Al(1)Mg10Sn2 cuboctahedra; corners with four equivalent Sn(1)Mg10Al2 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)Mg10AlSn cuboctahedra; edges with four equivalent Mg(6)Mg11Al cuboctahedra; edges with four equivalent Mg(7)Mg11Sn cuboctahedra; faces with two equivalent Mg(6)Mg11Al 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)Mg8Al2Sn2 cuboctahedra; and faces with eight Mg(5,5,5)Mg10AlSn cuboctahedra. In the thirteenth 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 Al(1), and one Sn(1) atom to form distorted MgMg10AlSn cuboctahedra that share corners with four equivalent Mg(6)Mg11Al cuboctahedra; corners with four equivalent Mg(7)Mg11Sn cuboctahedra; corners with ten Mg(5,5,5)Mg10AlSn cuboctahedra; edges with two equivalent Mg(5)Mg10AlSn cuboctahedra; edges with two equivalent Mg(6)Mg11Al 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)Mg8Al2Sn2 cuboctahedra; edges with two equivalent Al(1)Mg10Sn2 cuboctahedra; edges with two equivalent Sn(1)Mg10Al2 cuboctahedra;  a faceface with one Mg(1)Mg12 cuboctahedra;  a faceface with one Mg(2)Mg12 cuboctahedra;  a faceface with one Al(1)Mg10Sn2 cuboctahedra;  a faceface with one Sn(1)Mg10Al2 cuboctahedra; faces with two equivalent Mg(6)Mg11Al cuboctahedra; faces with two equivalent Mg(7)Mg11Sn cuboctahedra; faces with four equivalent Mg(5)Mg10AlSn cuboctahedra; faces with four Mg(4,4,4)Mg12 cuboctahedra; and faces with four Mg(3,3)Mg8Al2Sn2 cuboctahedra. Al(1) is bonded to two equivalent Mg(6); four Mg(3,3); four Mg(5,5,5); and two equivalent Sn(1) atoms to form AlMg10Sn2 cuboctahedra that share corners with four equivalent Mg(2)Mg12 cuboctahedra; corners with six equivalent Al(1)Mg10Sn2 cuboctahedra; corners with eight Mg(4,4,4)Mg12 cuboctahedra; edges with two equivalent Sn(1)Mg10Al2 cuboctahedra; edges with four equivalent Mg(6)Mg11Al cuboctahedra; edges with four Mg(3,3)Mg8Al2Sn2 cuboctahedra; edges with eight Mg(5,5,5,5)Mg10AlSn cuboctahedra; faces with two equivalent Mg(6)Mg11Al cuboctahedra; faces with two equivalent Mg(1)Mg12 cuboctahedra; faces with two equivalent Sn(1)Mg10Al2 cuboctahedra; faces with four Mg(5,5,5)Mg10AlSn cuboctahedra; faces with four Mg(3,3)Mg8Al2Sn2 cuboctahedra; and faces with six equivalent Mg(7)Mg11Sn cuboctahedra. Sn(1) is bonded to two equivalent Mg(7); four Mg(3,3); four Mg(5,5,5); and two equivalent Al(1) atoms to form SnMg10Al2 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra; corners with six equivalent Sn(1)Mg10Al2 cuboctahedra; corners with eight Mg(4,4,4)Mg12 cuboctahedra; edges with two equivalent Al(1)Mg10Sn2 cuboctahedra; edges with four equivalent Mg(7)Mg11Sn cuboctahedra; edges with four Mg(3,3)Mg8Al2Sn2 cuboctahedra; edges with eight Mg(5,5,5,5)Mg10AlSn cuboctahedra; faces with two equivalent Mg(7)Mg11Sn cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with two equivalent Al(1)Mg10Sn2 cuboctahedra; faces with four Mg(5,5,5)Mg10AlSn cuboctahedra; faces with four Mg(3,3)Mg8Al2Sn2 cuboctahedra; and faces with six equivalent Mg(6)Mg11Al cuboctahedra. is represented by the CIF card [CIF]
data_Mg14AlSn
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.297
_cell_length_b   6.424
_cell_length_c   10.389
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   120.668
_symmetry_Int_Tables_number   1
_cell_volume   361.430
_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  0.168  0.334  0.625  1.0
  Mg  Mg1  1  0.168  0.834  0.625  1.0
  Mg  Mg2  1  0.668  0.334  0.125  1.0
  Mg  Mg3  1  0.666  0.333  0.625  1.0
  Mg  Mg4  1  0.668  0.834  0.125  1.0
  Mg  Mg5  1  0.666  0.833  0.625  1.0
  Mg  Mg6  1  0.333  0.170  0.375  1.0
  Mg  Mg7  1  0.333  0.170  0.875  1.0
  Mg  Mg8  1  0.333  0.663  0.375  1.0
  Mg  Mg9  1  0.333  0.663  0.875  1.0
  Mg  Mg10  1  0.836  0.168  0.374  1.0
  Mg  Mg11  1  0.836  0.168  0.876  1.0
  Mg  Mg12  1  0.832  0.666  0.378  1.0
  Mg  Mg13  1  0.832  0.666  0.872  1.0
  Al  Al14  1  0.163  0.332  0.125  1.0
  Sn  Sn15  1  0.166  0.833  0.125  1.0
[/CIF]
.
The material structure described by Mg14AlSn crystallizes in the orthorhombic Amm2 space group. There are thirteen inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Mg(2); two equivalent Mg(6); four Mg(4,4,4); and four Mg(5,5,5) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Sn(1)Mg10Al2 cuboctahedra; corners with six equivalent Mg(1)Mg12 cuboctahedra; corners with eight Mg(3,3)Mg8Al2Sn2 cuboctahedra; edges with two equivalent Mg(2)Mg12 cuboctahedra; edges with four equivalent Mg(6)Mg11Al cuboctahedra; edges with four Mg(4,4,4)Mg12 cuboctahedra; edges with eight Mg(5,5,5,5)Mg10AlSn cuboctahedra; faces with two equivalent Mg(6)Mg11Al cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with two equivalent Al(1)Mg10Sn2 cuboctahedra; faces with four Mg(5,5,5)Mg10AlSn cuboctahedra; faces with four Mg(4,4,4)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(4,4,4); and four Mg(5,5,5) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Al(1)Mg10Sn2 cuboctahedra; corners with six equivalent Mg(2)Mg12 cuboctahedra; corners with eight Mg(3,3)Mg8Al2Sn2 cuboctahedra; edges with two equivalent Mg(1)Mg12 cuboctahedra; edges with four equivalent Mg(7)Mg11Sn cuboctahedra; edges with four Mg(4,4,4)Mg12 cuboctahedra; edges with eight Mg(5,5,5,5)Mg10AlSn cuboctahedra; faces with two equivalent Mg(7)Mg11Sn cuboctahedra; faces with two equivalent Mg(1)Mg12 cuboctahedra; faces with two equivalent Sn(1)Mg10Al2 cuboctahedra; faces with four Mg(5,5,5)Mg10AlSn cuboctahedra; faces with four Mg(4,4,4)Mg12 cuboctahedra; and faces with six equivalent Mg(6)Mg11Al 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 Al(1); and two equivalent Sn(1) atoms to form distorted MgMg8Al2Sn2 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 Mg(3,3)Mg8Al2Sn2 cuboctahedra; edges with two equivalent Mg(3)Mg8Al2Sn2 cuboctahedra; edges with two equivalent Al(1)Mg10Sn2 cuboctahedra; edges with two equivalent Sn(1)Mg10Al2 cuboctahedra; edges with four Mg(5,5)Mg10AlSn cuboctahedra; edges with four equivalent Mg(6)Mg11Al cuboctahedra; edges with four equivalent Mg(7)Mg11Sn cuboctahedra; faces with two equivalent Mg(6)Mg11Al cuboctahedra; faces with two equivalent Mg(7)Mg11Sn cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Mg(3)Mg8Al2Sn2 cuboctahedra; faces with two equivalent Al(1)Mg10Sn2 cuboctahedra; faces with two equivalent Sn(1)Mg10Al2 cuboctahedra; and faces with eight Mg(5,5,5,5)Mg10AlSn 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)Mg8Al2Sn2 cuboctahedra; corners with four equivalent Al(1)Mg10Sn2 cuboctahedra; corners with four equivalent Sn(1)Mg10Al2 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)Mg10AlSn cuboctahedra; edges with four equivalent Mg(6)Mg11Al cuboctahedra; edges with four equivalent Mg(7)Mg11Sn cuboctahedra; faces with two equivalent Mg(6)Mg11Al 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)Mg8Al2Sn2 cuboctahedra; and faces with eight Mg(5,5,5,5)Mg10AlSn cuboctahedra. In the fifth 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 Al(1); and two equivalent Sn(1) atoms to form distorted MgMg8Al2Sn2 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 Mg(3,3)Mg8Al2Sn2 cuboctahedra; edges with two equivalent Mg(3)Mg8Al2Sn2 cuboctahedra; edges with two equivalent Al(1)Mg10Sn2 cuboctahedra; edges with two equivalent Sn(1)Mg10Al2 cuboctahedra; edges with four Mg(5,5)Mg10AlSn cuboctahedra; edges with four equivalent Mg(6)Mg11Al cuboctahedra; edges with four equivalent Mg(7)Mg11Sn cuboctahedra; faces with two equivalent Mg(6)Mg11Al cuboctahedra; faces with two equivalent Mg(7)Mg11Sn cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Mg(3)Mg8Al2Sn2 cuboctahedra; faces with two equivalent Al(1)Mg10Sn2 cuboctahedra; faces with two equivalent Sn(1)Mg10Al2 cuboctahedra; and faces with eight Mg(5,5,5)Mg10AlSn 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 Al(1), and one Sn(1) atom to form distorted MgMg10AlSn cuboctahedra that share corners with four equivalent Mg(6)Mg11Al cuboctahedra; corners with four equivalent Mg(7)Mg11Sn cuboctahedra; corners with ten equivalent Mg(5)Mg10AlSn cuboctahedra; edges with two equivalent Mg(5)Mg10AlSn cuboctahedra; edges with two equivalent Mg(6)Mg11Al 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)Mg8Al2Sn2 cuboctahedra; edges with two equivalent Al(1)Mg10Sn2 cuboctahedra; edges with two equivalent Sn(1)Mg10Al2 cuboctahedra;  a faceface with one Mg(1)Mg12 cuboctahedra;  a faceface with one Mg(2)Mg12 cuboctahedra;  a faceface with one Al(1)Mg10Sn2 cuboctahedra;  a faceface with one Sn(1)Mg10Al2 cuboctahedra; faces with two equivalent Mg(6)Mg11Al cuboctahedra; faces with two equivalent Mg(7)Mg11Sn cuboctahedra; faces with four Mg(5,5)Mg10AlSn cuboctahedra; faces with four Mg(4,4)Mg12 cuboctahedra; and faces with four Mg(3,3)Mg8Al2Sn2 cuboctahedra. In the seventh 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 Al(1), and one Sn(1) atom to form distorted MgMg10AlSn cuboctahedra that share corners with four equivalent Mg(6)Mg11Al cuboctahedra; corners with four equivalent Mg(7)Mg11Sn cuboctahedra; corners with ten Mg(5,5)Mg10AlSn cuboctahedra; edges with two equivalent Mg(5)Mg10AlSn cuboctahedra; edges with two equivalent Mg(6)Mg11Al 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)Mg8Al2Sn2 cuboctahedra; edges with two equivalent Al(1)Mg10Sn2 cuboctahedra; edges with two equivalent Sn(1)Mg10Al2 cuboctahedra;  a faceface with one Mg(1)Mg12 cuboctahedra;  a faceface with one Mg(2)Mg12 cuboctahedra;  a faceface with one Al(1)Mg10Sn2 cuboctahedra;  a faceface with one Sn(1)Mg10Al2 cuboctahedra; faces with two equivalent Mg(6)Mg11Al cuboctahedra; faces with two equivalent Mg(7)Mg11Sn cuboctahedra; faces with four equivalent Mg(5)Mg10AlSn cuboctahedra; faces with four Mg(4,4)Mg12 cuboctahedra; and faces with four Mg(3,3)Mg8Al2Sn2 cuboctahedra. In the eighth 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 Al(1), and one Sn(1) atom to form distorted MgMg10AlSn cuboctahedra that share corners with four equivalent Mg(6)Mg11Al cuboctahedra; corners with four equivalent Mg(7)Mg11Sn cuboctahedra; corners with ten Mg(5,5,5)Mg10AlSn cuboctahedra; edges with two equivalent Mg(5)Mg10AlSn cuboctahedra; edges with two equivalent Mg(6)Mg11Al 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)Mg8Al2Sn2 cuboctahedra; edges with two equivalent Al(1)Mg10Sn2 cuboctahedra; edges with two equivalent Sn(1)Mg10Al2 cuboctahedra;  a faceface with one Mg(1)Mg12 cuboctahedra;  a faceface with one Mg(2)Mg12 cuboctahedra;  a faceface with one Al(1)Mg10Sn2 cuboctahedra;  a faceface with one Sn(1)Mg10Al2 cuboctahedra; faces with two equivalent Mg(6)Mg11Al cuboctahedra; faces with two equivalent Mg(7)Mg11Sn cuboctahedra; faces with four equivalent Mg(5)Mg10AlSn cuboctahedra; faces with four Mg(4,4)Mg12 cuboctahedra; and faces with four Mg(3,3)Mg8Al2Sn2 cuboctahedra. In the ninth Mg site, Mg(6) is bonded to one Mg(1); two equivalent Mg(3); two Mg(4,4); two equivalent Mg(7); four Mg(5,5,5); and one Al(1) atom to form distorted MgMg11Al cuboctahedra that share corners with four equivalent Mg(7)Mg11Sn cuboctahedra; corners with six equivalent Mg(6)Mg11Al cuboctahedra; corners with eight Mg(5,5)Mg10AlSn cuboctahedra; edges with two equivalent Mg(7)Mg11Sn cuboctahedra; edges with two equivalent Mg(1)Mg12 cuboctahedra; edges with two equivalent Al(1)Mg10Sn2 cuboctahedra; edges with four Mg(5,5,5)Mg10AlSn cuboctahedra; edges with four Mg(4,4,4)Mg12 cuboctahedra; edges with four Mg(3,3)Mg8Al2Sn2 cuboctahedra;  a faceface with one Mg(1)Mg12 cuboctahedra;  a faceface with one Al(1)Mg10Sn2 cuboctahedra; faces with two equivalent Mg(6)Mg11Al cuboctahedra; faces with two equivalent Mg(7)Mg11Sn cuboctahedra; faces with two Mg(4,4)Mg12 cuboctahedra; faces with two equivalent Mg(3)Mg8Al2Sn2 cuboctahedra; faces with three equivalent Mg(2)Mg12 cuboctahedra; faces with three equivalent Sn(1)Mg10Al2 cuboctahedra; and faces with four Mg(5,5,5)Mg10AlSn cuboctahedra. In the tenth Mg site, Mg(7) is bonded to one Mg(2); two equivalent Mg(3); two Mg(4,4); two equivalent Mg(6); four Mg(5,5,5); and one Sn(1) atom to form distorted MgMg11Sn cuboctahedra that share corners with four equivalent Mg(6)Mg11Al cuboctahedra; corners with six equivalent Mg(7)Mg11Sn cuboctahedra; corners with eight Mg(5,5)Mg10AlSn cuboctahedra; edges with two equivalent Mg(6)Mg11Al cuboctahedra; edges with two equivalent Mg(2)Mg12 cuboctahedra; edges with two equivalent Sn(1)Mg10Al2 cuboctahedra; edges with four Mg(5,5,5)Mg10AlSn cuboctahedra; edges with four Mg(4,4,4)Mg12 cuboctahedra; edges with four Mg(3,3)Mg8Al2Sn2 cuboctahedra;  a faceface with one Mg(2)Mg12 cuboctahedra;  a faceface with one Sn(1)Mg10Al2 cuboctahedra; faces with two equivalent Mg(6)Mg11Al cuboctahedra; faces with two equivalent Mg(7)Mg11Sn cuboctahedra; faces with two Mg(4,4)Mg12 cuboctahedra; faces with two equivalent Mg(3)Mg8Al2Sn2 cuboctahedra; faces with three equivalent Mg(1)Mg12 cuboctahedra; faces with three equivalent Al(1)Mg10Sn2 cuboctahedra; and faces with four Mg(5,5,5)Mg10AlSn cuboctahedra. In the eleventh 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)Mg8Al2Sn2 cuboctahedra; corners with four equivalent Al(1)Mg10Sn2 cuboctahedra; corners with four equivalent Sn(1)Mg10Al2 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)Mg10AlSn cuboctahedra; edges with four equivalent Mg(6)Mg11Al cuboctahedra; edges with four equivalent Mg(7)Mg11Sn cuboctahedra; faces with two equivalent Mg(6)Mg11Al 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)Mg8Al2Sn2 cuboctahedra; and faces with eight Mg(5,5,5,5)Mg10AlSn cuboctahedra. In the twelfth 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)Mg8Al2Sn2 cuboctahedra; corners with four equivalent Al(1)Mg10Sn2 cuboctahedra; corners with four equivalent Sn(1)Mg10Al2 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)Mg10AlSn cuboctahedra; edges with four equivalent Mg(6)Mg11Al cuboctahedra; edges with four equivalent Mg(7)Mg11Sn cuboctahedra; faces with two equivalent Mg(6)Mg11Al 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)Mg8Al2Sn2 cuboctahedra; and faces with eight Mg(5,5,5)Mg10AlSn cuboctahedra. In the thirteenth 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 Al(1), and one Sn(1) atom to form distorted MgMg10AlSn cuboctahedra that share corners with four equivalent Mg(6)Mg11Al cuboctahedra; corners with four equivalent Mg(7)Mg11Sn cuboctahedra; corners with ten Mg(5,5,5)Mg10AlSn cuboctahedra; edges with two equivalent Mg(5)Mg10AlSn cuboctahedra; edges with two equivalent Mg(6)Mg11Al 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)Mg8Al2Sn2 cuboctahedra; edges with two equivalent Al(1)Mg10Sn2 cuboctahedra; edges with two equivalent Sn(1)Mg10Al2 cuboctahedra;  a faceface with one Mg(1)Mg12 cuboctahedra;  a faceface with one Mg(2)Mg12 cuboctahedra;  a faceface with one Al(1)Mg10Sn2 cuboctahedra;  a faceface with one Sn(1)Mg10Al2 cuboctahedra; faces with two equivalent Mg(6)Mg11Al cuboctahedra; faces with two equivalent Mg(7)Mg11Sn cuboctahedra; faces with four equivalent Mg(5)Mg10AlSn cuboctahedra; faces with four Mg(4,4,4)Mg12 cuboctahedra; and faces with four Mg(3,3)Mg8Al2Sn2 cuboctahedra. Al(1) is bonded to two equivalent Mg(6); four Mg(3,3); four Mg(5,5,5); and two equivalent Sn(1) atoms to form AlMg10Sn2 cuboctahedra that share corners with four equivalent Mg(2)Mg12 cuboctahedra; corners with six equivalent Al(1)Mg10Sn2 cuboctahedra; corners with eight Mg(4,4,4)Mg12 cuboctahedra; edges with two equivalent Sn(1)Mg10Al2 cuboctahedra; edges with four equivalent Mg(6)Mg11Al cuboctahedra; edges with four Mg(3,3)Mg8Al2Sn2 cuboctahedra; edges with eight Mg(5,5,5,5)Mg10AlSn cuboctahedra; faces with two equivalent Mg(6)Mg11Al cuboctahedra; faces with two equivalent Mg(1)Mg12 cuboctahedra; faces with two equivalent Sn(1)Mg10Al2 cuboctahedra; faces with four Mg(5,5,5)Mg10AlSn cuboctahedra; faces with four Mg(3,3)Mg8Al2Sn2 cuboctahedra; and faces with six equivalent Mg(7)Mg11Sn cuboctahedra. Sn(1) is bonded to two equivalent Mg(7); four Mg(3,3); four Mg(5,5,5); and two equivalent Al(1) atoms to form SnMg10Al2 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra; corners with six equivalent Sn(1)Mg10Al2 cuboctahedra; corners with eight Mg(4,4,4)Mg12 cuboctahedra; edges with two equivalent Al(1)Mg10Sn2 cuboctahedra; edges with four equivalent Mg(7)Mg11Sn cuboctahedra; edges with four Mg(3,3)Mg8Al2Sn2 cuboctahedra; edges with eight Mg(5,5,5,5)Mg10AlSn cuboctahedra; faces with two equivalent Mg(7)Mg11Sn cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with two equivalent Al(1)Mg10Sn2 cuboctahedra; faces with four Mg(5,5,5)Mg10AlSn cuboctahedra; faces with four Mg(3,3)Mg8Al2Sn2 cuboctahedra; and faces with six equivalent Mg(6)Mg11Al cuboctahedra. is represented by the CIF card [CIF]
data_Mg14AlSn
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.297
_cell_length_b   6.424
_cell_length_c   10.389
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   120.668
_symmetry_Int_Tables_number   1
_cell_volume   361.430
_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  0.168  0.334  0.625  1.0
  Mg  Mg1  1  0.168  0.834  0.625  1.0
  Mg  Mg2  1  0.668  0.334  0.125  1.0
  Mg  Mg3  1  0.666  0.333  0.625  1.0
  Mg  Mg4  1  0.668  0.834  0.125  1.0
  Mg  Mg5  1  0.666  0.833  0.625  1.0
  Mg  Mg6  1  0.333  0.170  0.375  1.0
  Mg  Mg7  1  0.333  0.170  0.875  1.0
  Mg  Mg8  1  0.333  0.663  0.375  1.0
  Mg  Mg9  1  0.333  0.663  0.875  1.0
  Mg  Mg10  1  0.836  0.168  0.374  1.0
  Mg  Mg11  1  0.836  0.168  0.876  1.0
  Mg  Mg12  1  0.832  0.666  0.378  1.0
  Mg  Mg13  1  0.832  0.666  0.872  1.0
  Al  Al14  1  0.163  0.332  0.125  1.0
  Sn  Sn15  1  0.166  0.833  0.125  1.0
[/CIF]
.