The material structure described by Mg14CdBi 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); and four Mg(5,5,5) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Bi(1)Mg10Cd2 cuboctahedra; corners with six equivalent Mg(1)Mg12 cuboctahedra; corners with eight Mg(3,3,3,3)Mg8Cd2Bi2 cuboctahedra; edges with two equivalent Mg(2)Mg12 cuboctahedra; edges with four equivalent Mg(6)Mg11Cd cuboctahedra; edges with four Mg(4,4)Mg12 cuboctahedra; edges with eight Mg(5,5,5)Mg10CdBi cuboctahedra; faces with two equivalent Mg(6)Mg11Cd cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with two equivalent Cd(1)Mg10Bi2 cuboctahedra; faces with four Mg(5,5,5)Mg10CdBi cuboctahedra; faces with four Mg(4,4)Mg12 cuboctahedra; and faces with six equivalent Mg(7)Mg11Bi 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(5,5,5) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Cd(1)Mg10Bi2 cuboctahedra; corners with six equivalent Mg(2)Mg12 cuboctahedra; corners with eight Mg(3,3,3,3)Mg8Cd2Bi2 cuboctahedra; edges with two equivalent Mg(1)Mg12 cuboctahedra; edges with four equivalent Mg(7)Mg11Bi cuboctahedra; edges with four Mg(4,4)Mg12 cuboctahedra; edges with eight Mg(5,5,5)Mg10CdBi cuboctahedra; faces with two equivalent Mg(7)Mg11Bi cuboctahedra; faces with two equivalent Mg(1)Mg12 cuboctahedra; faces with two equivalent Bi(1)Mg10Cd2 cuboctahedra; faces with four Mg(5,5,5)Mg10CdBi cuboctahedra; faces with four Mg(4,4)Mg12 cuboctahedra; and faces with six equivalent Mg(6)Mg11Cd 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 Cd(1), and two equivalent Bi(1) atoms to form distorted MgMg8Cd2Bi2 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)Mg8Cd2Bi2 cuboctahedra; edges with two equivalent Mg(3)Mg8Cd2Bi2 cuboctahedra; edges with two equivalent Cd(1)Mg10Bi2 cuboctahedra; edges with two equivalent Bi(1)Mg10Cd2 cuboctahedra; edges with four Mg(5,5)Mg10CdBi cuboctahedra; edges with four equivalent Mg(7)Mg11Bi cuboctahedra; edges with four equivalent Mg(6)Mg11Cd cuboctahedra; faces with two equivalent Mg(7)Mg11Bi cuboctahedra; faces with two equivalent Mg(6)Mg11Cd cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Mg(3)Mg8Cd2Bi2 cuboctahedra; faces with two equivalent Cd(1)Mg10Bi2 cuboctahedra; faces with two equivalent Bi(1)Mg10Cd2 cuboctahedra; and faces with eight Mg(5,5,5)Mg10CdBi 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)Mg8Cd2Bi2 cuboctahedra; corners with four equivalent Cd(1)Mg10Bi2 cuboctahedra; corners with four equivalent Bi(1)Mg10Cd2 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 Mg(5,5)Mg10CdBi cuboctahedra; edges with four equivalent Mg(7)Mg11Bi cuboctahedra; edges with four equivalent Mg(6)Mg11Cd cuboctahedra; faces with two equivalent Mg(7)Mg11Bi cuboctahedra; faces with two equivalent Mg(6)Mg11Cd 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)Mg8Cd2Bi2 cuboctahedra; and faces with eight Mg(5,5,5)Mg10CdBi 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 Cd(1); and two equivalent Bi(1) atoms to form distorted MgMg8Cd2Bi2 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)Mg8Cd2Bi2 cuboctahedra; edges with two equivalent Mg(3)Mg8Cd2Bi2 cuboctahedra; edges with two equivalent Cd(1)Mg10Bi2 cuboctahedra; edges with two equivalent Bi(1)Mg10Cd2 cuboctahedra; edges with four equivalent Mg(5)Mg10CdBi cuboctahedra; edges with four equivalent Mg(7)Mg11Bi cuboctahedra; edges with four equivalent Mg(6)Mg11Cd cuboctahedra; faces with two equivalent Mg(7)Mg11Bi cuboctahedra; faces with two equivalent Mg(6)Mg11Cd cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Mg(3)Mg8Cd2Bi2 cuboctahedra; faces with two equivalent Cd(1)Mg10Bi2 cuboctahedra; faces with two equivalent Bi(1)Mg10Cd2 cuboctahedra; and faces with eight Mg(5,5,5)Mg10CdBi cuboctahedra. In the sixth 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)Mg8Cd2Bi2 cuboctahedra; corners with four equivalent Cd(1)Mg10Bi2 cuboctahedra; corners with four equivalent Bi(1)Mg10Cd2 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)Mg10CdBi cuboctahedra; edges with four equivalent Mg(7)Mg11Bi cuboctahedra; edges with four equivalent Mg(6)Mg11Cd cuboctahedra; faces with two equivalent Mg(7)Mg11Bi cuboctahedra; faces with two equivalent Mg(6)Mg11Cd 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)Mg8Cd2Bi2 cuboctahedra; and faces with eight Mg(5,5,5)Mg10CdBi 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 Cd(1), and one Bi(1) atom to form distorted MgMg10CdBi cuboctahedra that share corners with four equivalent Mg(7)Mg11Bi cuboctahedra; corners with four equivalent Mg(6)Mg11Cd cuboctahedra; corners with ten Mg(5,5)Mg10CdBi cuboctahedra; edges with two equivalent Mg(5)Mg10CdBi cuboctahedra; edges with two equivalent Mg(7)Mg11Bi cuboctahedra; edges with two equivalent Mg(6)Mg11Cd 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)Mg8Cd2Bi2 cuboctahedra; edges with two equivalent Cd(1)Mg10Bi2 cuboctahedra; edges with two equivalent Bi(1)Mg10Cd2 cuboctahedra;  a faceface with one Mg(1)Mg12 cuboctahedra;  a faceface with one Mg(2)Mg12 cuboctahedra;  a faceface with one Cd(1)Mg10Bi2 cuboctahedra;  a faceface with one Bi(1)Mg10Cd2 cuboctahedra; faces with two equivalent Mg(7)Mg11Bi cuboctahedra; faces with two equivalent Mg(6)Mg11Cd cuboctahedra; faces with four Mg(5,5)Mg10CdBi cuboctahedra; faces with four Mg(4,4)Mg12 cuboctahedra; and faces with four Mg(3,3,3)Mg8Cd2Bi2 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 Cd(1), and one Bi(1) atom to form distorted MgMg10CdBi cuboctahedra that share corners with four equivalent Mg(7)Mg11Bi cuboctahedra; corners with four equivalent Mg(6)Mg11Cd cuboctahedra; corners with ten Mg(5,5)Mg10CdBi cuboctahedra; edges with two equivalent Mg(5)Mg10CdBi cuboctahedra; edges with two equivalent Mg(7)Mg11Bi cuboctahedra; edges with two equivalent Mg(6)Mg11Cd 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)Mg8Cd2Bi2 cuboctahedra; edges with two equivalent Cd(1)Mg10Bi2 cuboctahedra; edges with two equivalent Bi(1)Mg10Cd2 cuboctahedra;  a faceface with one Mg(1)Mg12 cuboctahedra;  a faceface with one Mg(2)Mg12 cuboctahedra;  a faceface with one Cd(1)Mg10Bi2 cuboctahedra;  a faceface with one Bi(1)Mg10Cd2 cuboctahedra; faces with two equivalent Mg(7)Mg11Bi cuboctahedra; faces with two equivalent Mg(6)Mg11Cd cuboctahedra; faces with four equivalent Mg(5)Mg10CdBi cuboctahedra; faces with four Mg(4,4)Mg12 cuboctahedra; and faces with four Mg(3,3,3)Mg8Cd2Bi2 cuboctahedra. In the ninth Mg site, Mg(6) is bonded to one Mg(1); two Mg(3,3); two Mg(4,4); two equivalent Mg(7); four Mg(5,5,5); and one Cd(1) atom to form distorted MgMg11Cd cuboctahedra that share corners with four equivalent Mg(7)Mg11Bi cuboctahedra; corners with six equivalent Mg(6)Mg11Cd cuboctahedra; corners with eight Mg(5,5)Mg10CdBi cuboctahedra; edges with two equivalent Mg(7)Mg11Bi cuboctahedra; edges with two equivalent Mg(1)Mg12 cuboctahedra; edges with two equivalent Cd(1)Mg10Bi2 cuboctahedra; edges with four Mg(5,5,5)Mg10CdBi cuboctahedra; edges with four Mg(4,4)Mg12 cuboctahedra; edges with four Mg(3,3,3,3)Mg8Cd2Bi2 cuboctahedra;  a faceface with one Mg(1)Mg12 cuboctahedra;  a faceface with one Cd(1)Mg10Bi2 cuboctahedra; faces with two equivalent Mg(7)Mg11Bi cuboctahedra; faces with two equivalent Mg(6)Mg11Cd cuboctahedra; faces with two Mg(4,4)Mg12 cuboctahedra; faces with two Mg(3,3)Mg8Cd2Bi2 cuboctahedra; faces with three equivalent Mg(2)Mg12 cuboctahedra; faces with three equivalent Bi(1)Mg10Cd2 cuboctahedra; and faces with four Mg(5,5,5)Mg10CdBi cuboctahedra. In the tenth Mg site, Mg(7) is bonded to one Mg(2); two Mg(3,3); two Mg(4,4); two equivalent Mg(6); four Mg(5,5,5); and one Bi(1) atom to form distorted MgMg11Bi cuboctahedra that share corners with four equivalent Mg(6)Mg11Cd cuboctahedra; corners with six equivalent Mg(7)Mg11Bi cuboctahedra; corners with eight Mg(5,5)Mg10CdBi cuboctahedra; edges with two equivalent Mg(6)Mg11Cd cuboctahedra; edges with two equivalent Mg(2)Mg12 cuboctahedra; edges with two equivalent Bi(1)Mg10Cd2 cuboctahedra; edges with four Mg(5,5,5)Mg10CdBi cuboctahedra; edges with four Mg(4,4)Mg12 cuboctahedra; edges with four Mg(3,3,3,3)Mg8Cd2Bi2 cuboctahedra;  a faceface with one Mg(2)Mg12 cuboctahedra;  a faceface with one Bi(1)Mg10Cd2 cuboctahedra; faces with two equivalent Mg(7)Mg11Bi cuboctahedra; faces with two equivalent Mg(6)Mg11Cd cuboctahedra; faces with two Mg(4,4)Mg12 cuboctahedra; faces with two Mg(3,3)Mg8Cd2Bi2 cuboctahedra; faces with three equivalent Mg(1)Mg12 cuboctahedra; faces with three equivalent Cd(1)Mg10Bi2 cuboctahedra; and faces with four Mg(5,5,5)Mg10CdBi cuboctahedra. In the eleventh 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 Cd(1); and two equivalent Bi(1) atoms to form distorted MgMg8Cd2Bi2 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)Mg8Cd2Bi2 cuboctahedra; edges with two equivalent Mg(3)Mg8Cd2Bi2 cuboctahedra; edges with two equivalent Cd(1)Mg10Bi2 cuboctahedra; edges with two equivalent Bi(1)Mg10Cd2 cuboctahedra; edges with four equivalent Mg(5)Mg10CdBi cuboctahedra; edges with four equivalent Mg(7)Mg11Bi cuboctahedra; edges with four equivalent Mg(6)Mg11Cd cuboctahedra; faces with two equivalent Mg(7)Mg11Bi cuboctahedra; faces with two equivalent Mg(6)Mg11Cd cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Mg(3)Mg8Cd2Bi2 cuboctahedra; faces with two equivalent Cd(1)Mg10Bi2 cuboctahedra; faces with two equivalent Bi(1)Mg10Cd2 cuboctahedra; and faces with eight Mg(5,5,5)Mg10CdBi cuboctahedra. In the twelfth 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 Cd(1), and two equivalent Bi(1) atoms to form distorted MgMg8Cd2Bi2 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)Mg8Cd2Bi2 cuboctahedra; edges with two equivalent Mg(3)Mg8Cd2Bi2 cuboctahedra; edges with two equivalent Cd(1)Mg10Bi2 cuboctahedra; edges with two equivalent Bi(1)Mg10Cd2 cuboctahedra; edges with four Mg(5,5)Mg10CdBi cuboctahedra; edges with four equivalent Mg(7)Mg11Bi cuboctahedra; edges with four equivalent Mg(6)Mg11Cd cuboctahedra; faces with two equivalent Mg(7)Mg11Bi cuboctahedra; faces with two equivalent Mg(6)Mg11Cd cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Mg(3)Mg8Cd2Bi2 cuboctahedra; faces with two equivalent Cd(1)Mg10Bi2 cuboctahedra; faces with two equivalent Bi(1)Mg10Cd2 cuboctahedra; and faces with eight Mg(5,5)Mg10CdBi 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 Cd(1), and one Bi(1) atom to form distorted MgMg10CdBi cuboctahedra that share corners with four equivalent Mg(7)Mg11Bi cuboctahedra; corners with four equivalent Mg(6)Mg11Cd cuboctahedra; corners with ten Mg(5,5,5)Mg10CdBi cuboctahedra; edges with two equivalent Mg(5)Mg10CdBi cuboctahedra; edges with two equivalent Mg(7)Mg11Bi cuboctahedra; edges with two equivalent Mg(6)Mg11Cd 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)Mg8Cd2Bi2 cuboctahedra; edges with two equivalent Cd(1)Mg10Bi2 cuboctahedra; edges with two equivalent Bi(1)Mg10Cd2 cuboctahedra;  a faceface with one Mg(1)Mg12 cuboctahedra;  a faceface with one Mg(2)Mg12 cuboctahedra;  a faceface with one Cd(1)Mg10Bi2 cuboctahedra;  a faceface with one Bi(1)Mg10Cd2 cuboctahedra; faces with two equivalent Mg(7)Mg11Bi cuboctahedra; faces with two equivalent Mg(6)Mg11Cd cuboctahedra; faces with four equivalent Mg(5)Mg10CdBi cuboctahedra; faces with four Mg(4,4)Mg12 cuboctahedra; and faces with four Mg(3,3,3)Mg8Cd2Bi2 cuboctahedra. Cd(1) is bonded to two equivalent Mg(6); four Mg(3,3,3,3); four Mg(5,5,5); and two equivalent Bi(1) atoms to form CdMg10Bi2 cuboctahedra that share corners with four equivalent Mg(2)Mg12 cuboctahedra; corners with six equivalent Cd(1)Mg10Bi2 cuboctahedra; corners with eight Mg(4,4)Mg12 cuboctahedra; edges with two equivalent Bi(1)Mg10Cd2 cuboctahedra; edges with four equivalent Mg(6)Mg11Cd cuboctahedra; edges with four Mg(3,3,3,3)Mg8Cd2Bi2 cuboctahedra; edges with eight Mg(5,5,5)Mg10CdBi cuboctahedra; faces with two equivalent Mg(6)Mg11Cd cuboctahedra; faces with two equivalent Mg(1)Mg12 cuboctahedra; faces with two equivalent Bi(1)Mg10Cd2 cuboctahedra; faces with four Mg(5,5,5)Mg10CdBi cuboctahedra; faces with four Mg(3,3,3,3)Mg8Cd2Bi2 cuboctahedra; and faces with six equivalent Mg(7)Mg11Bi cuboctahedra. Bi(1) is bonded to two equivalent Mg(7); four Mg(3,3,3,3); four Mg(5,5,5); and two equivalent Cd(1) atoms to form BiMg10Cd2 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra; corners with six equivalent Bi(1)Mg10Cd2 cuboctahedra; corners with eight Mg(4,4)Mg12 cuboctahedra; edges with two equivalent Cd(1)Mg10Bi2 cuboctahedra; edges with four equivalent Mg(7)Mg11Bi cuboctahedra; edges with four Mg(3,3,3,3)Mg8Cd2Bi2 cuboctahedra; edges with eight Mg(5,5,5)Mg10CdBi cuboctahedra; faces with two equivalent Mg(7)Mg11Bi cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with two equivalent Cd(1)Mg10Bi2 cuboctahedra; faces with four Mg(5,5,5)Mg10CdBi cuboctahedra; faces with four Mg(3,3,3,3)Mg8Cd2Bi2 cuboctahedra; and faces with six equivalent Mg(6)Mg11Cd cuboctahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_Mg14CdBi
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.387
_cell_length_b   6.535
_cell_length_c   10.443
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   120.767
_symmetry_Int_Tables_number   1
_cell_volume   374.487
_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  0.167  0.834  0.625  1.0
  Mg  Mg2  1  0.668  0.333  0.125  1.0
  Mg  Mg3  1  0.666  0.334  0.625  1.0
  Mg  Mg4  1  0.668  0.835  0.125  1.0
  Mg  Mg5  1  0.666  0.833  0.625  1.0
  Mg  Mg6  1  0.335  0.172  0.379  1.0
  Mg  Mg7  1  0.335  0.172  0.871  1.0
  Mg  Mg8  1  0.335  0.663  0.379  1.0
  Mg  Mg9  1  0.335  0.663  0.871  1.0
  Mg  Mg10  1  0.834  0.167  0.376  1.0
  Mg  Mg11  1  0.834  0.167  0.874  1.0
  Mg  Mg12  1  0.828  0.664  0.381  1.0
  Mg  Mg13  1  0.828  0.664  0.869  1.0
  Cd  Cd14  1  0.163  0.332  0.125  1.0
  Bi  Bi15  1  0.167  0.833  0.125  1.0
[/CIF]
.
The material structure described by Mg14CdBi 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); and four Mg(5,5,5) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Bi(1)Mg10Cd2 cuboctahedra; corners with six equivalent Mg(1)Mg12 cuboctahedra; corners with eight Mg(3,3,3,3)Mg8Cd2Bi2 cuboctahedra; edges with two equivalent Mg(2)Mg12 cuboctahedra; edges with four equivalent Mg(6)Mg11Cd cuboctahedra; edges with four Mg(4,4)Mg12 cuboctahedra; edges with eight Mg(5,5,5)Mg10CdBi cuboctahedra; faces with two equivalent Mg(6)Mg11Cd cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with two equivalent Cd(1)Mg10Bi2 cuboctahedra; faces with four Mg(5,5,5)Mg10CdBi cuboctahedra; faces with four Mg(4,4)Mg12 cuboctahedra; and faces with six equivalent Mg(7)Mg11Bi 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(5,5,5) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Cd(1)Mg10Bi2 cuboctahedra; corners with six equivalent Mg(2)Mg12 cuboctahedra; corners with eight Mg(3,3,3,3)Mg8Cd2Bi2 cuboctahedra; edges with two equivalent Mg(1)Mg12 cuboctahedra; edges with four equivalent Mg(7)Mg11Bi cuboctahedra; edges with four Mg(4,4)Mg12 cuboctahedra; edges with eight Mg(5,5,5)Mg10CdBi cuboctahedra; faces with two equivalent Mg(7)Mg11Bi cuboctahedra; faces with two equivalent Mg(1)Mg12 cuboctahedra; faces with two equivalent Bi(1)Mg10Cd2 cuboctahedra; faces with four Mg(5,5,5)Mg10CdBi cuboctahedra; faces with four Mg(4,4)Mg12 cuboctahedra; and faces with six equivalent Mg(6)Mg11Cd 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 Cd(1), and two equivalent Bi(1) atoms to form distorted MgMg8Cd2Bi2 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)Mg8Cd2Bi2 cuboctahedra; edges with two equivalent Mg(3)Mg8Cd2Bi2 cuboctahedra; edges with two equivalent Cd(1)Mg10Bi2 cuboctahedra; edges with two equivalent Bi(1)Mg10Cd2 cuboctahedra; edges with four Mg(5,5)Mg10CdBi cuboctahedra; edges with four equivalent Mg(7)Mg11Bi cuboctahedra; edges with four equivalent Mg(6)Mg11Cd cuboctahedra; faces with two equivalent Mg(7)Mg11Bi cuboctahedra; faces with two equivalent Mg(6)Mg11Cd cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Mg(3)Mg8Cd2Bi2 cuboctahedra; faces with two equivalent Cd(1)Mg10Bi2 cuboctahedra; faces with two equivalent Bi(1)Mg10Cd2 cuboctahedra; and faces with eight Mg(5,5,5)Mg10CdBi 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)Mg8Cd2Bi2 cuboctahedra; corners with four equivalent Cd(1)Mg10Bi2 cuboctahedra; corners with four equivalent Bi(1)Mg10Cd2 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 Mg(5,5)Mg10CdBi cuboctahedra; edges with four equivalent Mg(7)Mg11Bi cuboctahedra; edges with four equivalent Mg(6)Mg11Cd cuboctahedra; faces with two equivalent Mg(7)Mg11Bi cuboctahedra; faces with two equivalent Mg(6)Mg11Cd 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)Mg8Cd2Bi2 cuboctahedra; and faces with eight Mg(5,5,5)Mg10CdBi 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 Cd(1); and two equivalent Bi(1) atoms to form distorted MgMg8Cd2Bi2 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)Mg8Cd2Bi2 cuboctahedra; edges with two equivalent Mg(3)Mg8Cd2Bi2 cuboctahedra; edges with two equivalent Cd(1)Mg10Bi2 cuboctahedra; edges with two equivalent Bi(1)Mg10Cd2 cuboctahedra; edges with four equivalent Mg(5)Mg10CdBi cuboctahedra; edges with four equivalent Mg(7)Mg11Bi cuboctahedra; edges with four equivalent Mg(6)Mg11Cd cuboctahedra; faces with two equivalent Mg(7)Mg11Bi cuboctahedra; faces with two equivalent Mg(6)Mg11Cd cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Mg(3)Mg8Cd2Bi2 cuboctahedra; faces with two equivalent Cd(1)Mg10Bi2 cuboctahedra; faces with two equivalent Bi(1)Mg10Cd2 cuboctahedra; and faces with eight Mg(5,5,5)Mg10CdBi cuboctahedra. In the sixth 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)Mg8Cd2Bi2 cuboctahedra; corners with four equivalent Cd(1)Mg10Bi2 cuboctahedra; corners with four equivalent Bi(1)Mg10Cd2 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)Mg10CdBi cuboctahedra; edges with four equivalent Mg(7)Mg11Bi cuboctahedra; edges with four equivalent Mg(6)Mg11Cd cuboctahedra; faces with two equivalent Mg(7)Mg11Bi cuboctahedra; faces with two equivalent Mg(6)Mg11Cd 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)Mg8Cd2Bi2 cuboctahedra; and faces with eight Mg(5,5,5)Mg10CdBi 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 Cd(1), and one Bi(1) atom to form distorted MgMg10CdBi cuboctahedra that share corners with four equivalent Mg(7)Mg11Bi cuboctahedra; corners with four equivalent Mg(6)Mg11Cd cuboctahedra; corners with ten Mg(5,5)Mg10CdBi cuboctahedra; edges with two equivalent Mg(5)Mg10CdBi cuboctahedra; edges with two equivalent Mg(7)Mg11Bi cuboctahedra; edges with two equivalent Mg(6)Mg11Cd 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)Mg8Cd2Bi2 cuboctahedra; edges with two equivalent Cd(1)Mg10Bi2 cuboctahedra; edges with two equivalent Bi(1)Mg10Cd2 cuboctahedra;  a faceface with one Mg(1)Mg12 cuboctahedra;  a faceface with one Mg(2)Mg12 cuboctahedra;  a faceface with one Cd(1)Mg10Bi2 cuboctahedra;  a faceface with one Bi(1)Mg10Cd2 cuboctahedra; faces with two equivalent Mg(7)Mg11Bi cuboctahedra; faces with two equivalent Mg(6)Mg11Cd cuboctahedra; faces with four Mg(5,5)Mg10CdBi cuboctahedra; faces with four Mg(4,4)Mg12 cuboctahedra; and faces with four Mg(3,3,3)Mg8Cd2Bi2 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 Cd(1), and one Bi(1) atom to form distorted MgMg10CdBi cuboctahedra that share corners with four equivalent Mg(7)Mg11Bi cuboctahedra; corners with four equivalent Mg(6)Mg11Cd cuboctahedra; corners with ten Mg(5,5)Mg10CdBi cuboctahedra; edges with two equivalent Mg(5)Mg10CdBi cuboctahedra; edges with two equivalent Mg(7)Mg11Bi cuboctahedra; edges with two equivalent Mg(6)Mg11Cd 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)Mg8Cd2Bi2 cuboctahedra; edges with two equivalent Cd(1)Mg10Bi2 cuboctahedra; edges with two equivalent Bi(1)Mg10Cd2 cuboctahedra;  a faceface with one Mg(1)Mg12 cuboctahedra;  a faceface with one Mg(2)Mg12 cuboctahedra;  a faceface with one Cd(1)Mg10Bi2 cuboctahedra;  a faceface with one Bi(1)Mg10Cd2 cuboctahedra; faces with two equivalent Mg(7)Mg11Bi cuboctahedra; faces with two equivalent Mg(6)Mg11Cd cuboctahedra; faces with four equivalent Mg(5)Mg10CdBi cuboctahedra; faces with four Mg(4,4)Mg12 cuboctahedra; and faces with four Mg(3,3,3)Mg8Cd2Bi2 cuboctahedra. In the ninth Mg site, Mg(6) is bonded to one Mg(1); two Mg(3,3); two Mg(4,4); two equivalent Mg(7); four Mg(5,5,5); and one Cd(1) atom to form distorted MgMg11Cd cuboctahedra that share corners with four equivalent Mg(7)Mg11Bi cuboctahedra; corners with six equivalent Mg(6)Mg11Cd cuboctahedra; corners with eight Mg(5,5)Mg10CdBi cuboctahedra; edges with two equivalent Mg(7)Mg11Bi cuboctahedra; edges with two equivalent Mg(1)Mg12 cuboctahedra; edges with two equivalent Cd(1)Mg10Bi2 cuboctahedra; edges with four Mg(5,5,5)Mg10CdBi cuboctahedra; edges with four Mg(4,4)Mg12 cuboctahedra; edges with four Mg(3,3,3,3)Mg8Cd2Bi2 cuboctahedra;  a faceface with one Mg(1)Mg12 cuboctahedra;  a faceface with one Cd(1)Mg10Bi2 cuboctahedra; faces with two equivalent Mg(7)Mg11Bi cuboctahedra; faces with two equivalent Mg(6)Mg11Cd cuboctahedra; faces with two Mg(4,4)Mg12 cuboctahedra; faces with two Mg(3,3)Mg8Cd2Bi2 cuboctahedra; faces with three equivalent Mg(2)Mg12 cuboctahedra; faces with three equivalent Bi(1)Mg10Cd2 cuboctahedra; and faces with four Mg(5,5,5)Mg10CdBi cuboctahedra. In the tenth Mg site, Mg(7) is bonded to one Mg(2); two Mg(3,3); two Mg(4,4); two equivalent Mg(6); four Mg(5,5,5); and one Bi(1) atom to form distorted MgMg11Bi cuboctahedra that share corners with four equivalent Mg(6)Mg11Cd cuboctahedra; corners with six equivalent Mg(7)Mg11Bi cuboctahedra; corners with eight Mg(5,5)Mg10CdBi cuboctahedra; edges with two equivalent Mg(6)Mg11Cd cuboctahedra; edges with two equivalent Mg(2)Mg12 cuboctahedra; edges with two equivalent Bi(1)Mg10Cd2 cuboctahedra; edges with four Mg(5,5,5)Mg10CdBi cuboctahedra; edges with four Mg(4,4)Mg12 cuboctahedra; edges with four Mg(3,3,3,3)Mg8Cd2Bi2 cuboctahedra;  a faceface with one Mg(2)Mg12 cuboctahedra;  a faceface with one Bi(1)Mg10Cd2 cuboctahedra; faces with two equivalent Mg(7)Mg11Bi cuboctahedra; faces with two equivalent Mg(6)Mg11Cd cuboctahedra; faces with two Mg(4,4)Mg12 cuboctahedra; faces with two Mg(3,3)Mg8Cd2Bi2 cuboctahedra; faces with three equivalent Mg(1)Mg12 cuboctahedra; faces with three equivalent Cd(1)Mg10Bi2 cuboctahedra; and faces with four Mg(5,5,5)Mg10CdBi cuboctahedra. In the eleventh 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 Cd(1); and two equivalent Bi(1) atoms to form distorted MgMg8Cd2Bi2 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)Mg8Cd2Bi2 cuboctahedra; edges with two equivalent Mg(3)Mg8Cd2Bi2 cuboctahedra; edges with two equivalent Cd(1)Mg10Bi2 cuboctahedra; edges with two equivalent Bi(1)Mg10Cd2 cuboctahedra; edges with four equivalent Mg(5)Mg10CdBi cuboctahedra; edges with four equivalent Mg(7)Mg11Bi cuboctahedra; edges with four equivalent Mg(6)Mg11Cd cuboctahedra; faces with two equivalent Mg(7)Mg11Bi cuboctahedra; faces with two equivalent Mg(6)Mg11Cd cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Mg(3)Mg8Cd2Bi2 cuboctahedra; faces with two equivalent Cd(1)Mg10Bi2 cuboctahedra; faces with two equivalent Bi(1)Mg10Cd2 cuboctahedra; and faces with eight Mg(5,5,5)Mg10CdBi cuboctahedra. In the twelfth 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 Cd(1), and two equivalent Bi(1) atoms to form distorted MgMg8Cd2Bi2 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)Mg8Cd2Bi2 cuboctahedra; edges with two equivalent Mg(3)Mg8Cd2Bi2 cuboctahedra; edges with two equivalent Cd(1)Mg10Bi2 cuboctahedra; edges with two equivalent Bi(1)Mg10Cd2 cuboctahedra; edges with four Mg(5,5)Mg10CdBi cuboctahedra; edges with four equivalent Mg(7)Mg11Bi cuboctahedra; edges with four equivalent Mg(6)Mg11Cd cuboctahedra; faces with two equivalent Mg(7)Mg11Bi cuboctahedra; faces with two equivalent Mg(6)Mg11Cd cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Mg(3)Mg8Cd2Bi2 cuboctahedra; faces with two equivalent Cd(1)Mg10Bi2 cuboctahedra; faces with two equivalent Bi(1)Mg10Cd2 cuboctahedra; and faces with eight Mg(5,5)Mg10CdBi 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 Cd(1), and one Bi(1) atom to form distorted MgMg10CdBi cuboctahedra that share corners with four equivalent Mg(7)Mg11Bi cuboctahedra; corners with four equivalent Mg(6)Mg11Cd cuboctahedra; corners with ten Mg(5,5,5)Mg10CdBi cuboctahedra; edges with two equivalent Mg(5)Mg10CdBi cuboctahedra; edges with two equivalent Mg(7)Mg11Bi cuboctahedra; edges with two equivalent Mg(6)Mg11Cd 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)Mg8Cd2Bi2 cuboctahedra; edges with two equivalent Cd(1)Mg10Bi2 cuboctahedra; edges with two equivalent Bi(1)Mg10Cd2 cuboctahedra;  a faceface with one Mg(1)Mg12 cuboctahedra;  a faceface with one Mg(2)Mg12 cuboctahedra;  a faceface with one Cd(1)Mg10Bi2 cuboctahedra;  a faceface with one Bi(1)Mg10Cd2 cuboctahedra; faces with two equivalent Mg(7)Mg11Bi cuboctahedra; faces with two equivalent Mg(6)Mg11Cd cuboctahedra; faces with four equivalent Mg(5)Mg10CdBi cuboctahedra; faces with four Mg(4,4)Mg12 cuboctahedra; and faces with four Mg(3,3,3)Mg8Cd2Bi2 cuboctahedra. Cd(1) is bonded to two equivalent Mg(6); four Mg(3,3,3,3); four Mg(5,5,5); and two equivalent Bi(1) atoms to form CdMg10Bi2 cuboctahedra that share corners with four equivalent Mg(2)Mg12 cuboctahedra; corners with six equivalent Cd(1)Mg10Bi2 cuboctahedra; corners with eight Mg(4,4)Mg12 cuboctahedra; edges with two equivalent Bi(1)Mg10Cd2 cuboctahedra; edges with four equivalent Mg(6)Mg11Cd cuboctahedra; edges with four Mg(3,3,3,3)Mg8Cd2Bi2 cuboctahedra; edges with eight Mg(5,5,5)Mg10CdBi cuboctahedra; faces with two equivalent Mg(6)Mg11Cd cuboctahedra; faces with two equivalent Mg(1)Mg12 cuboctahedra; faces with two equivalent Bi(1)Mg10Cd2 cuboctahedra; faces with four Mg(5,5,5)Mg10CdBi cuboctahedra; faces with four Mg(3,3,3,3)Mg8Cd2Bi2 cuboctahedra; and faces with six equivalent Mg(7)Mg11Bi cuboctahedra. Bi(1) is bonded to two equivalent Mg(7); four Mg(3,3,3,3); four Mg(5,5,5); and two equivalent Cd(1) atoms to form BiMg10Cd2 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra; corners with six equivalent Bi(1)Mg10Cd2 cuboctahedra; corners with eight Mg(4,4)Mg12 cuboctahedra; edges with two equivalent Cd(1)Mg10Bi2 cuboctahedra; edges with four equivalent Mg(7)Mg11Bi cuboctahedra; edges with four Mg(3,3,3,3)Mg8Cd2Bi2 cuboctahedra; edges with eight Mg(5,5,5)Mg10CdBi cuboctahedra; faces with two equivalent Mg(7)Mg11Bi cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with two equivalent Cd(1)Mg10Bi2 cuboctahedra; faces with four Mg(5,5,5)Mg10CdBi cuboctahedra; faces with four Mg(3,3,3,3)Mg8Cd2Bi2 cuboctahedra; and faces with six equivalent Mg(6)Mg11Cd cuboctahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_Mg14CdBi
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.387
_cell_length_b   6.535
_cell_length_c   10.443
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   120.767
_symmetry_Int_Tables_number   1
_cell_volume   374.487
_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  0.167  0.834  0.625  1.0
  Mg  Mg2  1  0.668  0.333  0.125  1.0
  Mg  Mg3  1  0.666  0.334  0.625  1.0
  Mg  Mg4  1  0.668  0.835  0.125  1.0
  Mg  Mg5  1  0.666  0.833  0.625  1.0
  Mg  Mg6  1  0.335  0.172  0.379  1.0
  Mg  Mg7  1  0.335  0.172  0.871  1.0
  Mg  Mg8  1  0.335  0.663  0.379  1.0
  Mg  Mg9  1  0.335  0.663  0.871  1.0
  Mg  Mg10  1  0.834  0.167  0.376  1.0
  Mg  Mg11  1  0.834  0.167  0.874  1.0
  Mg  Mg12  1  0.828  0.664  0.381  1.0
  Mg  Mg13  1  0.828  0.664  0.869  1.0
  Cd  Cd14  1  0.163  0.332  0.125  1.0
  Bi  Bi15  1  0.167  0.833  0.125  1.0
[/CIF]
.