The structure described by Mg14MnCd crystallizes in the orthorhombic Amm2 space group. There are ten 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) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Cd(1)Mg10Mn2 cuboctahedra; corners with six equivalent Mg(1)Mg12 cuboctahedra; corners with eight equivalent Mg(3)Mg8Mn2Cd2 cuboctahedra; edges with two equivalent Mg(2)Mg12 cuboctahedra; edges with four equivalent Mg(6)Mg11Mn cuboctahedra; edges with four Mg(4,4,4)Mg12 cuboctahedra; edges with eight Mg(5,5)Mg10MnCd cuboctahedra; faces with two equivalent Mg(6)Mg11Mn cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with two equivalent Mn(1)Mg10Cd2 cuboctahedra; faces with four Mg(5,5)Mg10MnCd cuboctahedra; faces with four Mg(4,4,4)Mg12 cuboctahedra; and faces with six equivalent Mg(7)Mg11Cd 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) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Mn(1)Mg10Cd2 cuboctahedra; corners with six equivalent Mg(2)Mg12 cuboctahedra; corners with eight equivalent Mg(3)Mg8Mn2Cd2 cuboctahedra; edges with two equivalent Mg(1)Mg12 cuboctahedra; edges with four equivalent Mg(7)Mg11Cd cuboctahedra; edges with four Mg(4,4,4)Mg12 cuboctahedra; edges with eight Mg(5,5)Mg10MnCd cuboctahedra; faces with two equivalent Mg(7)Mg11Cd cuboctahedra; faces with two equivalent Mg(1)Mg12 cuboctahedra; faces with two equivalent Cd(1)Mg10Mn2 cuboctahedra; faces with four Mg(5,5)Mg10MnCd cuboctahedra; faces with four Mg(4,4,4)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 Mg(5,5); two equivalent Mg(6); two equivalent Mg(7); two equivalent Mn(1); and two equivalent Cd(1) atoms to form distorted MgMg8Mn2Cd2 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)Mg8Mn2Cd2 cuboctahedra; edges with two equivalent Mg(3)Mg8Mn2Cd2 cuboctahedra; edges with two equivalent Mn(1)Mg10Cd2 cuboctahedra; edges with two equivalent Cd(1)Mg10Mn2 cuboctahedra; edges with four equivalent Mg(5)Mg10MnCd cuboctahedra; edges with four equivalent Mg(7)Mg11Cd cuboctahedra; edges with four equivalent Mg(6)Mg11Mn cuboctahedra; faces with two equivalent Mg(7)Mg11Cd cuboctahedra; faces with two equivalent Mg(6)Mg11Mn cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Mg(3)Mg8Mn2Cd2 cuboctahedra; faces with two equivalent Mn(1)Mg10Cd2 cuboctahedra; faces with two equivalent Cd(1)Mg10Mn2 cuboctahedra; and faces with eight Mg(5,5)Mg10MnCd 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)Mg8Mn2Cd2 cuboctahedra; corners with four equivalent Mn(1)Mg10Cd2 cuboctahedra; corners with four equivalent Cd(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(5)Mg10MnCd cuboctahedra; edges with four equivalent Mg(7)Mg11Cd cuboctahedra; edges with four equivalent Mg(6)Mg11Mn cuboctahedra; faces with two equivalent Mg(7)Mg11Cd 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; faces with two equivalent Mg(3)Mg8Mn2Cd2 cuboctahedra; and faces with eight Mg(5,5)Mg10MnCd cuboctahedra. In the fifth 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)Mg8Mn2Cd2 cuboctahedra; corners with four equivalent Mn(1)Mg10Cd2 cuboctahedra; corners with four equivalent Cd(1)Mg10Mn2 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)Mg10MnCd cuboctahedra; edges with four equivalent Mg(7)Mg11Cd cuboctahedra; edges with four equivalent Mg(6)Mg11Mn cuboctahedra; faces with two equivalent Mg(7)Mg11Cd 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; faces with two equivalent Mg(3)Mg8Mn2Cd2 cuboctahedra; and faces with eight Mg(5,5)Mg10MnCd 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 Mn(1), and one Cd(1) atom to form distorted MgMg10MnCd cuboctahedra that share corners with four equivalent Mg(7)Mg11Cd cuboctahedra; corners with four equivalent Mg(6)Mg11Mn cuboctahedra; corners with ten equivalent Mg(5)Mg10MnCd cuboctahedra; edges with two equivalent Mg(5)Mg10MnCd cuboctahedra; edges with two equivalent Mg(7)Mg11Cd cuboctahedra; edges with two equivalent Mg(6)Mg11Mn 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)Mg8Mn2Cd2 cuboctahedra; edges with two equivalent Mn(1)Mg10Cd2 cuboctahedra; edges with two equivalent Cd(1)Mg10Mn2 cuboctahedra;  a faceface with one Mg(1)Mg12 cuboctahedra;  a faceface with one Mg(2)Mg12 cuboctahedra;  a faceface with one Mn(1)Mg10Cd2 cuboctahedra;  a faceface with one Cd(1)Mg10Mn2 cuboctahedra; faces with two equivalent Mg(7)Mg11Cd cuboctahedra; faces with two equivalent Mg(6)Mg11Mn cuboctahedra; faces with four equivalent Mg(5)Mg10MnCd cuboctahedra; faces with four Mg(4,4,4)Mg12 cuboctahedra; and faces with four equivalent Mg(3)Mg8Mn2Cd2 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 Mn(1), and one Cd(1) atom to form distorted MgMg10MnCd cuboctahedra that share corners with four equivalent Mg(7)Mg11Cd cuboctahedra; corners with four equivalent Mg(6)Mg11Mn cuboctahedra; corners with ten Mg(5,5)Mg10MnCd cuboctahedra; edges with two equivalent Mg(5)Mg10MnCd cuboctahedra; edges with two equivalent Mg(7)Mg11Cd cuboctahedra; edges with two equivalent Mg(6)Mg11Mn 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)Mg8Mn2Cd2 cuboctahedra; edges with two equivalent Mn(1)Mg10Cd2 cuboctahedra; edges with two equivalent Cd(1)Mg10Mn2 cuboctahedra;  a faceface with one Mg(1)Mg12 cuboctahedra;  a faceface with one Mg(2)Mg12 cuboctahedra;  a faceface with one Mn(1)Mg10Cd2 cuboctahedra;  a faceface with one Cd(1)Mg10Mn2 cuboctahedra; faces with two equivalent Mg(7)Mg11Cd cuboctahedra; faces with two equivalent Mg(6)Mg11Mn cuboctahedra; faces with four equivalent Mg(5)Mg10MnCd cuboctahedra; faces with four Mg(4,4,4)Mg12 cuboctahedra; and faces with four equivalent Mg(3)Mg8Mn2Cd2 cuboctahedra. In the eighth 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 Mn(1) atom to form distorted MgMg11Mn cuboctahedra that share corners with four equivalent Mg(7)Mg11Cd cuboctahedra; corners with six equivalent Mg(6)Mg11Mn cuboctahedra; corners with eight Mg(5,5)Mg10MnCd cuboctahedra; edges with two equivalent Mg(7)Mg11Cd cuboctahedra; edges with two equivalent Mg(1)Mg12 cuboctahedra; edges with two equivalent Mn(1)Mg10Cd2 cuboctahedra; edges with four Mg(5,5)Mg10MnCd cuboctahedra; edges with four Mg(4,4,4)Mg12 cuboctahedra; edges with four equivalent Mg(3)Mg8Mn2Cd2 cuboctahedra;  a faceface with one Mg(1)Mg12 cuboctahedra;  a faceface with one Mn(1)Mg10Cd2 cuboctahedra; faces with two equivalent Mg(7)Mg11Cd cuboctahedra; faces with two equivalent Mg(6)Mg11Mn cuboctahedra; faces with two Mg(4,4)Mg12 cuboctahedra; faces with two equivalent Mg(3)Mg8Mn2Cd2 cuboctahedra; faces with three equivalent Mg(2)Mg12 cuboctahedra; faces with three equivalent Cd(1)Mg10Mn2 cuboctahedra; and faces with four Mg(5,5)Mg10MnCd cuboctahedra. In the ninth 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 Cd(1) atom to form distorted MgMg11Cd cuboctahedra that share corners with four equivalent Mg(6)Mg11Mn cuboctahedra; corners with six equivalent Mg(7)Mg11Cd cuboctahedra; corners with eight Mg(5,5)Mg10MnCd cuboctahedra; edges with two equivalent Mg(6)Mg11Mn cuboctahedra; edges with two equivalent Mg(2)Mg12 cuboctahedra; edges with two equivalent Cd(1)Mg10Mn2 cuboctahedra; edges with four Mg(5,5)Mg10MnCd cuboctahedra; edges with four Mg(4,4,4)Mg12 cuboctahedra; edges with four equivalent Mg(3)Mg8Mn2Cd2 cuboctahedra;  a faceface with one Mg(2)Mg12 cuboctahedra;  a faceface with one Cd(1)Mg10Mn2 cuboctahedra; faces with two equivalent Mg(7)Mg11Cd cuboctahedra; faces with two equivalent Mg(6)Mg11Mn cuboctahedra; faces with two Mg(4,4)Mg12 cuboctahedra; faces with two equivalent Mg(3)Mg8Mn2Cd2 cuboctahedra; faces with three equivalent Mg(1)Mg12 cuboctahedra; faces with three equivalent Mn(1)Mg10Cd2 cuboctahedra; and faces with four Mg(5,5)Mg10MnCd cuboctahedra. In the tenth 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)Mg8Mn2Cd2 cuboctahedra; corners with four equivalent Mn(1)Mg10Cd2 cuboctahedra; corners with four equivalent Cd(1)Mg10Mn2 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)Mg10MnCd cuboctahedra; edges with four equivalent Mg(7)Mg11Cd cuboctahedra; edges with four equivalent Mg(6)Mg11Mn cuboctahedra; faces with two equivalent Mg(7)Mg11Cd 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; faces with two equivalent Mg(3)Mg8Mn2Cd2 cuboctahedra; and faces with eight Mg(5,5)Mg10MnCd cuboctahedra. Mn(1) is bonded to two equivalent Mg(6); four equivalent Mg(3); four Mg(5,5); and two equivalent Cd(1) atoms to form MnMg10Cd2 cuboctahedra that share corners with four equivalent Mg(2)Mg12 cuboctahedra; corners with six equivalent Mn(1)Mg10Cd2 cuboctahedra; corners with eight Mg(4,4,4)Mg12 cuboctahedra; edges with two equivalent Cd(1)Mg10Mn2 cuboctahedra; edges with four equivalent Mg(6)Mg11Mn cuboctahedra; edges with four equivalent Mg(3)Mg8Mn2Cd2 cuboctahedra; edges with eight Mg(5,5)Mg10MnCd cuboctahedra; faces with two equivalent Mg(6)Mg11Mn cuboctahedra; faces with two equivalent Mg(1)Mg12 cuboctahedra; faces with two equivalent Cd(1)Mg10Mn2 cuboctahedra; faces with four Mg(5,5)Mg10MnCd cuboctahedra; faces with four equivalent Mg(3)Mg8Mn2Cd2 cuboctahedra; and faces with six equivalent Mg(7)Mg11Cd cuboctahedra. Cd(1) is bonded to two equivalent Mg(7); four equivalent Mg(3); four Mg(5,5); and two equivalent Mn(1) atoms to form CdMg10Mn2 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra; corners with six equivalent Cd(1)Mg10Mn2 cuboctahedra; corners with eight Mg(4,4,4)Mg12 cuboctahedra; edges with two equivalent Mn(1)Mg10Cd2 cuboctahedra; edges with four equivalent Mg(7)Mg11Cd cuboctahedra; edges with four equivalent Mg(3)Mg8Mn2Cd2 cuboctahedra; edges with eight Mg(5,5)Mg10MnCd cuboctahedra; faces with two equivalent Mg(7)Mg11Cd cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with two equivalent Mn(1)Mg10Cd2 cuboctahedra; faces with four Mg(5,5)Mg10MnCd cuboctahedra; faces with four equivalent Mg(3)Mg8Mn2Cd2 cuboctahedra; and faces with six equivalent Mg(6)Mg11Mn cuboctahedra. is represented by the CIF file [CIF]
data_Mg14MnCd
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.302
_cell_length_b   6.300
_cell_length_c   10.200
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   119.989
_symmetry_Int_Tables_number   1
_cell_volume   350.706
_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  0.668  0.332  0.125  1.0
  Mg  Mg3  1  0.666  0.333  0.625  1.0
  Mg  Mg4  1  0.668  0.836  0.125  1.0
  Mg  Mg5  1  0.666  0.833  0.625  1.0
  Mg  Mg6  1  0.330  0.169  0.368  1.0
  Mg  Mg7  1  0.330  0.169  0.882  1.0
  Mg  Mg8  1  0.330  0.661  0.368  1.0
  Mg  Mg9  1  0.330  0.661  0.882  1.0
  Mg  Mg10  1  0.839  0.169  0.371  1.0
  Mg  Mg11  1  0.839  0.169  0.879  1.0
  Mg  Mg12  1  0.834  0.667  0.374  1.0
  Mg  Mg13  1  0.834  0.667  0.876  1.0
  Mn  Mn14  1  0.163  0.331  0.125  1.0
  Cd  Cd15  1  0.167  0.834  0.125  1.0
[/CIF]
.
The structure described by Mg14MnCd crystallizes in the orthorhombic Amm2 space group. There are ten 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) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Cd(1)Mg10Mn2 cuboctahedra; corners with six equivalent Mg(1)Mg12 cuboctahedra; corners with eight equivalent Mg(3)Mg8Mn2Cd2 cuboctahedra; edges with two equivalent Mg(2)Mg12 cuboctahedra; edges with four equivalent Mg(6)Mg11Mn cuboctahedra; edges with four Mg(4,4,4)Mg12 cuboctahedra; edges with eight Mg(5,5)Mg10MnCd cuboctahedra; faces with two equivalent Mg(6)Mg11Mn cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with two equivalent Mn(1)Mg10Cd2 cuboctahedra; faces with four Mg(5,5)Mg10MnCd cuboctahedra; faces with four Mg(4,4,4)Mg12 cuboctahedra; and faces with six equivalent Mg(7)Mg11Cd 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) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Mn(1)Mg10Cd2 cuboctahedra; corners with six equivalent Mg(2)Mg12 cuboctahedra; corners with eight equivalent Mg(3)Mg8Mn2Cd2 cuboctahedra; edges with two equivalent Mg(1)Mg12 cuboctahedra; edges with four equivalent Mg(7)Mg11Cd cuboctahedra; edges with four Mg(4,4,4)Mg12 cuboctahedra; edges with eight Mg(5,5)Mg10MnCd cuboctahedra; faces with two equivalent Mg(7)Mg11Cd cuboctahedra; faces with two equivalent Mg(1)Mg12 cuboctahedra; faces with two equivalent Cd(1)Mg10Mn2 cuboctahedra; faces with four Mg(5,5)Mg10MnCd cuboctahedra; faces with four Mg(4,4,4)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 Mg(5,5); two equivalent Mg(6); two equivalent Mg(7); two equivalent Mn(1); and two equivalent Cd(1) atoms to form distorted MgMg8Mn2Cd2 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)Mg8Mn2Cd2 cuboctahedra; edges with two equivalent Mg(3)Mg8Mn2Cd2 cuboctahedra; edges with two equivalent Mn(1)Mg10Cd2 cuboctahedra; edges with two equivalent Cd(1)Mg10Mn2 cuboctahedra; edges with four equivalent Mg(5)Mg10MnCd cuboctahedra; edges with four equivalent Mg(7)Mg11Cd cuboctahedra; edges with four equivalent Mg(6)Mg11Mn cuboctahedra; faces with two equivalent Mg(7)Mg11Cd cuboctahedra; faces with two equivalent Mg(6)Mg11Mn cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Mg(3)Mg8Mn2Cd2 cuboctahedra; faces with two equivalent Mn(1)Mg10Cd2 cuboctahedra; faces with two equivalent Cd(1)Mg10Mn2 cuboctahedra; and faces with eight Mg(5,5)Mg10MnCd 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)Mg8Mn2Cd2 cuboctahedra; corners with four equivalent Mn(1)Mg10Cd2 cuboctahedra; corners with four equivalent Cd(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(5)Mg10MnCd cuboctahedra; edges with four equivalent Mg(7)Mg11Cd cuboctahedra; edges with four equivalent Mg(6)Mg11Mn cuboctahedra; faces with two equivalent Mg(7)Mg11Cd 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; faces with two equivalent Mg(3)Mg8Mn2Cd2 cuboctahedra; and faces with eight Mg(5,5)Mg10MnCd cuboctahedra. In the fifth 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)Mg8Mn2Cd2 cuboctahedra; corners with four equivalent Mn(1)Mg10Cd2 cuboctahedra; corners with four equivalent Cd(1)Mg10Mn2 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)Mg10MnCd cuboctahedra; edges with four equivalent Mg(7)Mg11Cd cuboctahedra; edges with four equivalent Mg(6)Mg11Mn cuboctahedra; faces with two equivalent Mg(7)Mg11Cd 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; faces with two equivalent Mg(3)Mg8Mn2Cd2 cuboctahedra; and faces with eight Mg(5,5)Mg10MnCd 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 Mn(1), and one Cd(1) atom to form distorted MgMg10MnCd cuboctahedra that share corners with four equivalent Mg(7)Mg11Cd cuboctahedra; corners with four equivalent Mg(6)Mg11Mn cuboctahedra; corners with ten equivalent Mg(5)Mg10MnCd cuboctahedra; edges with two equivalent Mg(5)Mg10MnCd cuboctahedra; edges with two equivalent Mg(7)Mg11Cd cuboctahedra; edges with two equivalent Mg(6)Mg11Mn 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)Mg8Mn2Cd2 cuboctahedra; edges with two equivalent Mn(1)Mg10Cd2 cuboctahedra; edges with two equivalent Cd(1)Mg10Mn2 cuboctahedra;  a faceface with one Mg(1)Mg12 cuboctahedra;  a faceface with one Mg(2)Mg12 cuboctahedra;  a faceface with one Mn(1)Mg10Cd2 cuboctahedra;  a faceface with one Cd(1)Mg10Mn2 cuboctahedra; faces with two equivalent Mg(7)Mg11Cd cuboctahedra; faces with two equivalent Mg(6)Mg11Mn cuboctahedra; faces with four equivalent Mg(5)Mg10MnCd cuboctahedra; faces with four Mg(4,4,4)Mg12 cuboctahedra; and faces with four equivalent Mg(3)Mg8Mn2Cd2 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 Mn(1), and one Cd(1) atom to form distorted MgMg10MnCd cuboctahedra that share corners with four equivalent Mg(7)Mg11Cd cuboctahedra; corners with four equivalent Mg(6)Mg11Mn cuboctahedra; corners with ten Mg(5,5)Mg10MnCd cuboctahedra; edges with two equivalent Mg(5)Mg10MnCd cuboctahedra; edges with two equivalent Mg(7)Mg11Cd cuboctahedra; edges with two equivalent Mg(6)Mg11Mn 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)Mg8Mn2Cd2 cuboctahedra; edges with two equivalent Mn(1)Mg10Cd2 cuboctahedra; edges with two equivalent Cd(1)Mg10Mn2 cuboctahedra;  a faceface with one Mg(1)Mg12 cuboctahedra;  a faceface with one Mg(2)Mg12 cuboctahedra;  a faceface with one Mn(1)Mg10Cd2 cuboctahedra;  a faceface with one Cd(1)Mg10Mn2 cuboctahedra; faces with two equivalent Mg(7)Mg11Cd cuboctahedra; faces with two equivalent Mg(6)Mg11Mn cuboctahedra; faces with four equivalent Mg(5)Mg10MnCd cuboctahedra; faces with four Mg(4,4,4)Mg12 cuboctahedra; and faces with four equivalent Mg(3)Mg8Mn2Cd2 cuboctahedra. In the eighth 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 Mn(1) atom to form distorted MgMg11Mn cuboctahedra that share corners with four equivalent Mg(7)Mg11Cd cuboctahedra; corners with six equivalent Mg(6)Mg11Mn cuboctahedra; corners with eight Mg(5,5)Mg10MnCd cuboctahedra; edges with two equivalent Mg(7)Mg11Cd cuboctahedra; edges with two equivalent Mg(1)Mg12 cuboctahedra; edges with two equivalent Mn(1)Mg10Cd2 cuboctahedra; edges with four Mg(5,5)Mg10MnCd cuboctahedra; edges with four Mg(4,4,4)Mg12 cuboctahedra; edges with four equivalent Mg(3)Mg8Mn2Cd2 cuboctahedra;  a faceface with one Mg(1)Mg12 cuboctahedra;  a faceface with one Mn(1)Mg10Cd2 cuboctahedra; faces with two equivalent Mg(7)Mg11Cd cuboctahedra; faces with two equivalent Mg(6)Mg11Mn cuboctahedra; faces with two Mg(4,4)Mg12 cuboctahedra; faces with two equivalent Mg(3)Mg8Mn2Cd2 cuboctahedra; faces with three equivalent Mg(2)Mg12 cuboctahedra; faces with three equivalent Cd(1)Mg10Mn2 cuboctahedra; and faces with four Mg(5,5)Mg10MnCd cuboctahedra. In the ninth 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 Cd(1) atom to form distorted MgMg11Cd cuboctahedra that share corners with four equivalent Mg(6)Mg11Mn cuboctahedra; corners with six equivalent Mg(7)Mg11Cd cuboctahedra; corners with eight Mg(5,5)Mg10MnCd cuboctahedra; edges with two equivalent Mg(6)Mg11Mn cuboctahedra; edges with two equivalent Mg(2)Mg12 cuboctahedra; edges with two equivalent Cd(1)Mg10Mn2 cuboctahedra; edges with four Mg(5,5)Mg10MnCd cuboctahedra; edges with four Mg(4,4,4)Mg12 cuboctahedra; edges with four equivalent Mg(3)Mg8Mn2Cd2 cuboctahedra;  a faceface with one Mg(2)Mg12 cuboctahedra;  a faceface with one Cd(1)Mg10Mn2 cuboctahedra; faces with two equivalent Mg(7)Mg11Cd cuboctahedra; faces with two equivalent Mg(6)Mg11Mn cuboctahedra; faces with two Mg(4,4)Mg12 cuboctahedra; faces with two equivalent Mg(3)Mg8Mn2Cd2 cuboctahedra; faces with three equivalent Mg(1)Mg12 cuboctahedra; faces with three equivalent Mn(1)Mg10Cd2 cuboctahedra; and faces with four Mg(5,5)Mg10MnCd cuboctahedra. In the tenth 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)Mg8Mn2Cd2 cuboctahedra; corners with four equivalent Mn(1)Mg10Cd2 cuboctahedra; corners with four equivalent Cd(1)Mg10Mn2 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)Mg10MnCd cuboctahedra; edges with four equivalent Mg(7)Mg11Cd cuboctahedra; edges with four equivalent Mg(6)Mg11Mn cuboctahedra; faces with two equivalent Mg(7)Mg11Cd 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; faces with two equivalent Mg(3)Mg8Mn2Cd2 cuboctahedra; and faces with eight Mg(5,5)Mg10MnCd cuboctahedra. Mn(1) is bonded to two equivalent Mg(6); four equivalent Mg(3); four Mg(5,5); and two equivalent Cd(1) atoms to form MnMg10Cd2 cuboctahedra that share corners with four equivalent Mg(2)Mg12 cuboctahedra; corners with six equivalent Mn(1)Mg10Cd2 cuboctahedra; corners with eight Mg(4,4,4)Mg12 cuboctahedra; edges with two equivalent Cd(1)Mg10Mn2 cuboctahedra; edges with four equivalent Mg(6)Mg11Mn cuboctahedra; edges with four equivalent Mg(3)Mg8Mn2Cd2 cuboctahedra; edges with eight Mg(5,5)Mg10MnCd cuboctahedra; faces with two equivalent Mg(6)Mg11Mn cuboctahedra; faces with two equivalent Mg(1)Mg12 cuboctahedra; faces with two equivalent Cd(1)Mg10Mn2 cuboctahedra; faces with four Mg(5,5)Mg10MnCd cuboctahedra; faces with four equivalent Mg(3)Mg8Mn2Cd2 cuboctahedra; and faces with six equivalent Mg(7)Mg11Cd cuboctahedra. Cd(1) is bonded to two equivalent Mg(7); four equivalent Mg(3); four Mg(5,5); and two equivalent Mn(1) atoms to form CdMg10Mn2 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra; corners with six equivalent Cd(1)Mg10Mn2 cuboctahedra; corners with eight Mg(4,4,4)Mg12 cuboctahedra; edges with two equivalent Mn(1)Mg10Cd2 cuboctahedra; edges with four equivalent Mg(7)Mg11Cd cuboctahedra; edges with four equivalent Mg(3)Mg8Mn2Cd2 cuboctahedra; edges with eight Mg(5,5)Mg10MnCd cuboctahedra; faces with two equivalent Mg(7)Mg11Cd cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with two equivalent Mn(1)Mg10Cd2 cuboctahedra; faces with four Mg(5,5)Mg10MnCd cuboctahedra; faces with four equivalent Mg(3)Mg8Mn2Cd2 cuboctahedra; and faces with six equivalent Mg(6)Mg11Mn cuboctahedra. is represented by the CIF file [CIF]
data_Mg14MnCd
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.302
_cell_length_b   6.300
_cell_length_c   10.200
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   119.989
_symmetry_Int_Tables_number   1
_cell_volume   350.706
_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  0.668  0.332  0.125  1.0
  Mg  Mg3  1  0.666  0.333  0.625  1.0
  Mg  Mg4  1  0.668  0.836  0.125  1.0
  Mg  Mg5  1  0.666  0.833  0.625  1.0
  Mg  Mg6  1  0.330  0.169  0.368  1.0
  Mg  Mg7  1  0.330  0.169  0.882  1.0
  Mg  Mg8  1  0.330  0.661  0.368  1.0
  Mg  Mg9  1  0.330  0.661  0.882  1.0
  Mg  Mg10  1  0.839  0.169  0.371  1.0
  Mg  Mg11  1  0.839  0.169  0.879  1.0
  Mg  Mg12  1  0.834  0.667  0.374  1.0
  Mg  Mg13  1  0.834  0.667  0.876  1.0
  Mn  Mn14  1  0.163  0.331  0.125  1.0
  Cd  Cd15  1  0.167  0.834  0.125  1.0
[/CIF]
.