The material described by Mg14CrCd crystallizes in the orthorhombic Amm2 space group. There are nine inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Mg(2); two equivalent Mg(6); four Mg(4,4); and four equivalent Mg(5) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Cd(1)Mg10Cr2 cuboctahedra; corners with six equivalent Mg(1)Mg12 cuboctahedra; corners with eight equivalent Mg(3)Mg8Cr2Cd2 cuboctahedra; edges with two equivalent Mg(2)Mg12 cuboctahedra; edges with four equivalent Mg(6)Mg11Cr cuboctahedra; edges with four Mg(4,4)Mg12 cuboctahedra; edges with eight Mg(5,5)Mg10CrCd cuboctahedra; faces with two equivalent Mg(6)Mg11Cr cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with two equivalent Cr(1)Mg10Cd2 cuboctahedra; faces with four equivalent Mg(5)Mg10CrCd cuboctahedra; faces with four Mg(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); and four equivalent Mg(5) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Cr(1)Mg10Cd2 cuboctahedra; corners with six equivalent Mg(2)Mg12 cuboctahedra; corners with eight equivalent Mg(3)Mg8Cr2Cd2 cuboctahedra; edges with two equivalent Mg(1)Mg12 cuboctahedra; edges with four equivalent Mg(7)Mg11Cd cuboctahedra; edges with four Mg(4,4)Mg12 cuboctahedra; edges with eight Mg(5,5)Mg10CrCd cuboctahedra; faces with two equivalent Mg(7)Mg11Cd cuboctahedra; faces with two equivalent Mg(1)Mg12 cuboctahedra; faces with two equivalent Cd(1)Mg10Cr2 cuboctahedra; faces with four equivalent Mg(5)Mg10CrCd cuboctahedra; faces with four Mg(4,4)Mg12 cuboctahedra; and faces with six equivalent Mg(6)Mg11Cr 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 Cr(1), and two equivalent Cd(1) atoms to form distorted MgMg8Cr2Cd2 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)Mg8Cr2Cd2 cuboctahedra; edges with two equivalent Mg(3)Mg8Cr2Cd2 cuboctahedra; edges with two equivalent Cr(1)Mg10Cd2 cuboctahedra; edges with two equivalent Cd(1)Mg10Cr2 cuboctahedra; edges with four equivalent Mg(5)Mg10CrCd cuboctahedra; edges with four equivalent Mg(7)Mg11Cd cuboctahedra; edges with four equivalent Mg(6)Mg11Cr cuboctahedra; faces with two equivalent Mg(7)Mg11Cd cuboctahedra; faces with two equivalent Mg(6)Mg11Cr cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Mg(3)Mg8Cr2Cd2 cuboctahedra; faces with two equivalent Cr(1)Mg10Cd2 cuboctahedra; faces with two equivalent Cd(1)Mg10Cr2 cuboctahedra; and faces with eight Mg(5,5)Mg10CrCd 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)Mg8Cr2Cd2 cuboctahedra; corners with four equivalent Cr(1)Mg10Cd2 cuboctahedra; corners with four equivalent Cd(1)Mg10Cr2 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)Mg10CrCd cuboctahedra; edges with four equivalent Mg(7)Mg11Cd cuboctahedra; edges with four equivalent Mg(6)Mg11Cr cuboctahedra; faces with two equivalent Mg(7)Mg11Cd cuboctahedra; faces with two equivalent Mg(6)Mg11Cr 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)Mg8Cr2Cd2 cuboctahedra; and faces with eight Mg(5,5)Mg10CrCd cuboctahedra. In the fifth 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)Mg8Cr2Cd2 cuboctahedra, corners with four equivalent Cr(1)Mg10Cd2 cuboctahedra, corners with four equivalent Cd(1)Mg10Cr2 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)Mg10CrCd cuboctahedra, edges with four equivalent Mg(7)Mg11Cd cuboctahedra, edges with four equivalent Mg(6)Mg11Cr cuboctahedra, faces with two equivalent Mg(7)Mg11Cd cuboctahedra, faces with two equivalent Mg(6)Mg11Cr 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)Mg8Cr2Cd2 cuboctahedra, and faces with eight equivalent Mg(5)Mg10CrCd 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 Cr(1), and one Cd(1) atom to form distorted MgMg10CrCd cuboctahedra that share corners with four equivalent Mg(7)Mg11Cd cuboctahedra; corners with four equivalent Mg(6)Mg11Cr cuboctahedra; corners with ten Mg(5,5)Mg10CrCd cuboctahedra; edges with two equivalent Mg(5)Mg10CrCd cuboctahedra; edges with two equivalent Mg(7)Mg11Cd cuboctahedra; edges with two equivalent Mg(6)Mg11Cr 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)Mg8Cr2Cd2 cuboctahedra; edges with two equivalent Cr(1)Mg10Cd2 cuboctahedra; edges with two equivalent Cd(1)Mg10Cr2 cuboctahedra;  a faceface with one Mg(1)Mg12 cuboctahedra;  a faceface with one Mg(2)Mg12 cuboctahedra;  a faceface with one Cr(1)Mg10Cd2 cuboctahedra;  a faceface with one Cd(1)Mg10Cr2 cuboctahedra; faces with two equivalent Mg(7)Mg11Cd cuboctahedra; faces with two equivalent Mg(6)Mg11Cr cuboctahedra; faces with four Mg(5,5)Mg10CrCd cuboctahedra; faces with four Mg(4,4)Mg12 cuboctahedra; and faces with four equivalent Mg(3)Mg8Cr2Cd2 cuboctahedra. In the seventh Mg site, Mg(6) is bonded to one Mg(1); two equivalent Mg(3); two Mg(4,4); two equivalent Mg(7); four Mg(5,5); and one Cr(1) atom to form distorted MgMg11Cr cuboctahedra that share corners with four equivalent Mg(7)Mg11Cd cuboctahedra; corners with six equivalent Mg(6)Mg11Cr cuboctahedra; corners with eight Mg(5,5)Mg10CrCd cuboctahedra; edges with two equivalent Mg(7)Mg11Cd cuboctahedra; edges with two equivalent Mg(1)Mg12 cuboctahedra; edges with two equivalent Cr(1)Mg10Cd2 cuboctahedra; edges with four Mg(5,5)Mg10CrCd cuboctahedra; edges with four Mg(4,4)Mg12 cuboctahedra; edges with four equivalent Mg(3)Mg8Cr2Cd2 cuboctahedra;  a faceface with one Mg(1)Mg12 cuboctahedra;  a faceface with one Cr(1)Mg10Cd2 cuboctahedra; faces with two equivalent Mg(7)Mg11Cd cuboctahedra; faces with two equivalent Mg(6)Mg11Cr cuboctahedra; faces with two Mg(4,4)Mg12 cuboctahedra; faces with two equivalent Mg(3)Mg8Cr2Cd2 cuboctahedra; faces with three equivalent Mg(2)Mg12 cuboctahedra; faces with three equivalent Cd(1)Mg10Cr2 cuboctahedra; and faces with four Mg(5,5)Mg10CrCd cuboctahedra. In the eighth Mg site, Mg(7) is bonded to one Mg(2); two equivalent Mg(3); two Mg(4,4); two equivalent Mg(6); four Mg(5,5); and one Cd(1) atom to form distorted MgMg11Cd cuboctahedra that share corners with four equivalent Mg(6)Mg11Cr cuboctahedra; corners with six equivalent Mg(7)Mg11Cd cuboctahedra; corners with eight Mg(5,5)Mg10CrCd cuboctahedra; edges with two equivalent Mg(6)Mg11Cr cuboctahedra; edges with two equivalent Mg(2)Mg12 cuboctahedra; edges with two equivalent Cd(1)Mg10Cr2 cuboctahedra; edges with four Mg(5,5)Mg10CrCd cuboctahedra; edges with four Mg(4,4)Mg12 cuboctahedra; edges with four equivalent Mg(3)Mg8Cr2Cd2 cuboctahedra;  a faceface with one Mg(2)Mg12 cuboctahedra;  a faceface with one Cd(1)Mg10Cr2 cuboctahedra; faces with two equivalent Mg(7)Mg11Cd cuboctahedra; faces with two equivalent Mg(6)Mg11Cr cuboctahedra; faces with two Mg(4,4)Mg12 cuboctahedra; faces with two equivalent Mg(3)Mg8Cr2Cd2 cuboctahedra; faces with three equivalent Mg(1)Mg12 cuboctahedra; faces with three equivalent Cr(1)Mg10Cd2 cuboctahedra; and faces with four Mg(5,5)Mg10CrCd cuboctahedra. In the ninth 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 Cr(1), and one Cd(1) atom to form distorted MgMg10CrCd cuboctahedra that share corners with four equivalent Mg(7)Mg11Cd cuboctahedra; corners with four equivalent Mg(6)Mg11Cr cuboctahedra; corners with ten Mg(5,5)Mg10CrCd cuboctahedra; edges with two equivalent Mg(5)Mg10CrCd cuboctahedra; edges with two equivalent Mg(7)Mg11Cd cuboctahedra; edges with two equivalent Mg(6)Mg11Cr 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)Mg8Cr2Cd2 cuboctahedra; edges with two equivalent Cr(1)Mg10Cd2 cuboctahedra; edges with two equivalent Cd(1)Mg10Cr2 cuboctahedra;  a faceface with one Mg(1)Mg12 cuboctahedra;  a faceface with one Mg(2)Mg12 cuboctahedra;  a faceface with one Cr(1)Mg10Cd2 cuboctahedra;  a faceface with one Cd(1)Mg10Cr2 cuboctahedra; faces with two equivalent Mg(7)Mg11Cd cuboctahedra; faces with two equivalent Mg(6)Mg11Cr cuboctahedra; faces with four Mg(5,5)Mg10CrCd cuboctahedra; faces with four Mg(4,4)Mg12 cuboctahedra; and faces with four equivalent Mg(3)Mg8Cr2Cd2 cuboctahedra. Cr(1) is bonded to two equivalent Mg(6), four equivalent Mg(3), four equivalent Mg(5), and two equivalent Cd(1) atoms to form CrMg10Cd2 cuboctahedra that share corners with four equivalent Mg(2)Mg12 cuboctahedra; corners with six equivalent Cr(1)Mg10Cd2 cuboctahedra; corners with eight Mg(4,4)Mg12 cuboctahedra; edges with two equivalent Cd(1)Mg10Cr2 cuboctahedra; edges with four equivalent Mg(6)Mg11Cr cuboctahedra; edges with four equivalent Mg(3)Mg8Cr2Cd2 cuboctahedra; edges with eight Mg(5,5)Mg10CrCd cuboctahedra; faces with two equivalent Mg(6)Mg11Cr cuboctahedra; faces with two equivalent Mg(1)Mg12 cuboctahedra; faces with two equivalent Cd(1)Mg10Cr2 cuboctahedra; faces with four equivalent Mg(5)Mg10CrCd cuboctahedra; faces with four equivalent Mg(3)Mg8Cr2Cd2 cuboctahedra; and faces with six equivalent Mg(7)Mg11Cd cuboctahedra. Cd(1) is bonded to two equivalent Mg(7), four equivalent Mg(3), four equivalent Mg(5), and two equivalent Cr(1) atoms to form CdMg10Cr2 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra; corners with six equivalent Cd(1)Mg10Cr2 cuboctahedra; corners with eight Mg(4,4)Mg12 cuboctahedra; edges with two equivalent Cr(1)Mg10Cd2 cuboctahedra; edges with four equivalent Mg(7)Mg11Cd cuboctahedra; edges with four equivalent Mg(3)Mg8Cr2Cd2 cuboctahedra; edges with eight Mg(5,5)Mg10CrCd cuboctahedra; faces with two equivalent Mg(7)Mg11Cd cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with two equivalent Cr(1)Mg10Cd2 cuboctahedra; faces with four equivalent Mg(5)Mg10CrCd cuboctahedra; faces with four equivalent Mg(3)Mg8Cr2Cd2 cuboctahedra; and faces with six equivalent Mg(6)Mg11Cr cuboctahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_Mg14CrCd
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.326
_cell_length_b   6.328
_cell_length_c   10.250
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   120.010
_symmetry_Int_Tables_number   1
_cell_volume   355.264
_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  0.333  0.625  1.0
  Mg  Mg1  1  0.167  0.834  0.625  1.0
  Mg  Mg2  1  0.667  0.332  0.125  1.0
  Mg  Mg3  1  0.666  0.333  0.625  1.0
  Mg  Mg4  1  0.667  0.836  0.125  1.0
  Mg  Mg5  1  0.666  0.834  0.625  1.0
  Mg  Mg6  1  0.331  0.168  0.371  1.0
  Mg  Mg7  1  0.331  0.168  0.879  1.0
  Mg  Mg8  1  0.331  0.663  0.371  1.0
  Mg  Mg9  1  0.331  0.663  0.879  1.0
  Mg  Mg10  1  0.837  0.169  0.373  1.0
  Mg  Mg11  1  0.837  0.169  0.877  1.0
  Mg  Mg12  1  0.834  0.667  0.375  1.0
  Mg  Mg13  1  0.834  0.667  0.875  1.0
  Cr  Cr14  1  0.165  0.333  0.125  1.0
  Cd  Cd15  1  0.168  0.834  0.125  1.0
[/CIF]
.
The material described by Mg14CrCd crystallizes in the orthorhombic Amm2 space group. There are nine inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Mg(2); two equivalent Mg(6); four Mg(4,4); and four equivalent Mg(5) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Cd(1)Mg10Cr2 cuboctahedra; corners with six equivalent Mg(1)Mg12 cuboctahedra; corners with eight equivalent Mg(3)Mg8Cr2Cd2 cuboctahedra; edges with two equivalent Mg(2)Mg12 cuboctahedra; edges with four equivalent Mg(6)Mg11Cr cuboctahedra; edges with four Mg(4,4)Mg12 cuboctahedra; edges with eight Mg(5,5)Mg10CrCd cuboctahedra; faces with two equivalent Mg(6)Mg11Cr cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with two equivalent Cr(1)Mg10Cd2 cuboctahedra; faces with four equivalent Mg(5)Mg10CrCd cuboctahedra; faces with four Mg(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); and four equivalent Mg(5) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Cr(1)Mg10Cd2 cuboctahedra; corners with six equivalent Mg(2)Mg12 cuboctahedra; corners with eight equivalent Mg(3)Mg8Cr2Cd2 cuboctahedra; edges with two equivalent Mg(1)Mg12 cuboctahedra; edges with four equivalent Mg(7)Mg11Cd cuboctahedra; edges with four Mg(4,4)Mg12 cuboctahedra; edges with eight Mg(5,5)Mg10CrCd cuboctahedra; faces with two equivalent Mg(7)Mg11Cd cuboctahedra; faces with two equivalent Mg(1)Mg12 cuboctahedra; faces with two equivalent Cd(1)Mg10Cr2 cuboctahedra; faces with four equivalent Mg(5)Mg10CrCd cuboctahedra; faces with four Mg(4,4)Mg12 cuboctahedra; and faces with six equivalent Mg(6)Mg11Cr 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 Cr(1), and two equivalent Cd(1) atoms to form distorted MgMg8Cr2Cd2 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)Mg8Cr2Cd2 cuboctahedra; edges with two equivalent Mg(3)Mg8Cr2Cd2 cuboctahedra; edges with two equivalent Cr(1)Mg10Cd2 cuboctahedra; edges with two equivalent Cd(1)Mg10Cr2 cuboctahedra; edges with four equivalent Mg(5)Mg10CrCd cuboctahedra; edges with four equivalent Mg(7)Mg11Cd cuboctahedra; edges with four equivalent Mg(6)Mg11Cr cuboctahedra; faces with two equivalent Mg(7)Mg11Cd cuboctahedra; faces with two equivalent Mg(6)Mg11Cr cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Mg(3)Mg8Cr2Cd2 cuboctahedra; faces with two equivalent Cr(1)Mg10Cd2 cuboctahedra; faces with two equivalent Cd(1)Mg10Cr2 cuboctahedra; and faces with eight Mg(5,5)Mg10CrCd 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)Mg8Cr2Cd2 cuboctahedra; corners with four equivalent Cr(1)Mg10Cd2 cuboctahedra; corners with four equivalent Cd(1)Mg10Cr2 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)Mg10CrCd cuboctahedra; edges with four equivalent Mg(7)Mg11Cd cuboctahedra; edges with four equivalent Mg(6)Mg11Cr cuboctahedra; faces with two equivalent Mg(7)Mg11Cd cuboctahedra; faces with two equivalent Mg(6)Mg11Cr 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)Mg8Cr2Cd2 cuboctahedra; and faces with eight Mg(5,5)Mg10CrCd cuboctahedra. In the fifth 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)Mg8Cr2Cd2 cuboctahedra, corners with four equivalent Cr(1)Mg10Cd2 cuboctahedra, corners with four equivalent Cd(1)Mg10Cr2 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)Mg10CrCd cuboctahedra, edges with four equivalent Mg(7)Mg11Cd cuboctahedra, edges with four equivalent Mg(6)Mg11Cr cuboctahedra, faces with two equivalent Mg(7)Mg11Cd cuboctahedra, faces with two equivalent Mg(6)Mg11Cr 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)Mg8Cr2Cd2 cuboctahedra, and faces with eight equivalent Mg(5)Mg10CrCd 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 Cr(1), and one Cd(1) atom to form distorted MgMg10CrCd cuboctahedra that share corners with four equivalent Mg(7)Mg11Cd cuboctahedra; corners with four equivalent Mg(6)Mg11Cr cuboctahedra; corners with ten Mg(5,5)Mg10CrCd cuboctahedra; edges with two equivalent Mg(5)Mg10CrCd cuboctahedra; edges with two equivalent Mg(7)Mg11Cd cuboctahedra; edges with two equivalent Mg(6)Mg11Cr 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)Mg8Cr2Cd2 cuboctahedra; edges with two equivalent Cr(1)Mg10Cd2 cuboctahedra; edges with two equivalent Cd(1)Mg10Cr2 cuboctahedra;  a faceface with one Mg(1)Mg12 cuboctahedra;  a faceface with one Mg(2)Mg12 cuboctahedra;  a faceface with one Cr(1)Mg10Cd2 cuboctahedra;  a faceface with one Cd(1)Mg10Cr2 cuboctahedra; faces with two equivalent Mg(7)Mg11Cd cuboctahedra; faces with two equivalent Mg(6)Mg11Cr cuboctahedra; faces with four Mg(5,5)Mg10CrCd cuboctahedra; faces with four Mg(4,4)Mg12 cuboctahedra; and faces with four equivalent Mg(3)Mg8Cr2Cd2 cuboctahedra. In the seventh Mg site, Mg(6) is bonded to one Mg(1); two equivalent Mg(3); two Mg(4,4); two equivalent Mg(7); four Mg(5,5); and one Cr(1) atom to form distorted MgMg11Cr cuboctahedra that share corners with four equivalent Mg(7)Mg11Cd cuboctahedra; corners with six equivalent Mg(6)Mg11Cr cuboctahedra; corners with eight Mg(5,5)Mg10CrCd cuboctahedra; edges with two equivalent Mg(7)Mg11Cd cuboctahedra; edges with two equivalent Mg(1)Mg12 cuboctahedra; edges with two equivalent Cr(1)Mg10Cd2 cuboctahedra; edges with four Mg(5,5)Mg10CrCd cuboctahedra; edges with four Mg(4,4)Mg12 cuboctahedra; edges with four equivalent Mg(3)Mg8Cr2Cd2 cuboctahedra;  a faceface with one Mg(1)Mg12 cuboctahedra;  a faceface with one Cr(1)Mg10Cd2 cuboctahedra; faces with two equivalent Mg(7)Mg11Cd cuboctahedra; faces with two equivalent Mg(6)Mg11Cr cuboctahedra; faces with two Mg(4,4)Mg12 cuboctahedra; faces with two equivalent Mg(3)Mg8Cr2Cd2 cuboctahedra; faces with three equivalent Mg(2)Mg12 cuboctahedra; faces with three equivalent Cd(1)Mg10Cr2 cuboctahedra; and faces with four Mg(5,5)Mg10CrCd cuboctahedra. In the eighth Mg site, Mg(7) is bonded to one Mg(2); two equivalent Mg(3); two Mg(4,4); two equivalent Mg(6); four Mg(5,5); and one Cd(1) atom to form distorted MgMg11Cd cuboctahedra that share corners with four equivalent Mg(6)Mg11Cr cuboctahedra; corners with six equivalent Mg(7)Mg11Cd cuboctahedra; corners with eight Mg(5,5)Mg10CrCd cuboctahedra; edges with two equivalent Mg(6)Mg11Cr cuboctahedra; edges with two equivalent Mg(2)Mg12 cuboctahedra; edges with two equivalent Cd(1)Mg10Cr2 cuboctahedra; edges with four Mg(5,5)Mg10CrCd cuboctahedra; edges with four Mg(4,4)Mg12 cuboctahedra; edges with four equivalent Mg(3)Mg8Cr2Cd2 cuboctahedra;  a faceface with one Mg(2)Mg12 cuboctahedra;  a faceface with one Cd(1)Mg10Cr2 cuboctahedra; faces with two equivalent Mg(7)Mg11Cd cuboctahedra; faces with two equivalent Mg(6)Mg11Cr cuboctahedra; faces with two Mg(4,4)Mg12 cuboctahedra; faces with two equivalent Mg(3)Mg8Cr2Cd2 cuboctahedra; faces with three equivalent Mg(1)Mg12 cuboctahedra; faces with three equivalent Cr(1)Mg10Cd2 cuboctahedra; and faces with four Mg(5,5)Mg10CrCd cuboctahedra. In the ninth 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 Cr(1), and one Cd(1) atom to form distorted MgMg10CrCd cuboctahedra that share corners with four equivalent Mg(7)Mg11Cd cuboctahedra; corners with four equivalent Mg(6)Mg11Cr cuboctahedra; corners with ten Mg(5,5)Mg10CrCd cuboctahedra; edges with two equivalent Mg(5)Mg10CrCd cuboctahedra; edges with two equivalent Mg(7)Mg11Cd cuboctahedra; edges with two equivalent Mg(6)Mg11Cr 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)Mg8Cr2Cd2 cuboctahedra; edges with two equivalent Cr(1)Mg10Cd2 cuboctahedra; edges with two equivalent Cd(1)Mg10Cr2 cuboctahedra;  a faceface with one Mg(1)Mg12 cuboctahedra;  a faceface with one Mg(2)Mg12 cuboctahedra;  a faceface with one Cr(1)Mg10Cd2 cuboctahedra;  a faceface with one Cd(1)Mg10Cr2 cuboctahedra; faces with two equivalent Mg(7)Mg11Cd cuboctahedra; faces with two equivalent Mg(6)Mg11Cr cuboctahedra; faces with four Mg(5,5)Mg10CrCd cuboctahedra; faces with four Mg(4,4)Mg12 cuboctahedra; and faces with four equivalent Mg(3)Mg8Cr2Cd2 cuboctahedra. Cr(1) is bonded to two equivalent Mg(6), four equivalent Mg(3), four equivalent Mg(5), and two equivalent Cd(1) atoms to form CrMg10Cd2 cuboctahedra that share corners with four equivalent Mg(2)Mg12 cuboctahedra; corners with six equivalent Cr(1)Mg10Cd2 cuboctahedra; corners with eight Mg(4,4)Mg12 cuboctahedra; edges with two equivalent Cd(1)Mg10Cr2 cuboctahedra; edges with four equivalent Mg(6)Mg11Cr cuboctahedra; edges with four equivalent Mg(3)Mg8Cr2Cd2 cuboctahedra; edges with eight Mg(5,5)Mg10CrCd cuboctahedra; faces with two equivalent Mg(6)Mg11Cr cuboctahedra; faces with two equivalent Mg(1)Mg12 cuboctahedra; faces with two equivalent Cd(1)Mg10Cr2 cuboctahedra; faces with four equivalent Mg(5)Mg10CrCd cuboctahedra; faces with four equivalent Mg(3)Mg8Cr2Cd2 cuboctahedra; and faces with six equivalent Mg(7)Mg11Cd cuboctahedra. Cd(1) is bonded to two equivalent Mg(7), four equivalent Mg(3), four equivalent Mg(5), and two equivalent Cr(1) atoms to form CdMg10Cr2 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra; corners with six equivalent Cd(1)Mg10Cr2 cuboctahedra; corners with eight Mg(4,4)Mg12 cuboctahedra; edges with two equivalent Cr(1)Mg10Cd2 cuboctahedra; edges with four equivalent Mg(7)Mg11Cd cuboctahedra; edges with four equivalent Mg(3)Mg8Cr2Cd2 cuboctahedra; edges with eight Mg(5,5)Mg10CrCd cuboctahedra; faces with two equivalent Mg(7)Mg11Cd cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with two equivalent Cr(1)Mg10Cd2 cuboctahedra; faces with four equivalent Mg(5)Mg10CrCd cuboctahedra; faces with four equivalent Mg(3)Mg8Cr2Cd2 cuboctahedra; and faces with six equivalent Mg(6)Mg11Cr cuboctahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_Mg14CrCd
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.326
_cell_length_b   6.328
_cell_length_c   10.250
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   120.010
_symmetry_Int_Tables_number   1
_cell_volume   355.264
_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  0.333  0.625  1.0
  Mg  Mg1  1  0.167  0.834  0.625  1.0
  Mg  Mg2  1  0.667  0.332  0.125  1.0
  Mg  Mg3  1  0.666  0.333  0.625  1.0
  Mg  Mg4  1  0.667  0.836  0.125  1.0
  Mg  Mg5  1  0.666  0.834  0.625  1.0
  Mg  Mg6  1  0.331  0.168  0.371  1.0
  Mg  Mg7  1  0.331  0.168  0.879  1.0
  Mg  Mg8  1  0.331  0.663  0.371  1.0
  Mg  Mg9  1  0.331  0.663  0.879  1.0
  Mg  Mg10  1  0.837  0.169  0.373  1.0
  Mg  Mg11  1  0.837  0.169  0.877  1.0
  Mg  Mg12  1  0.834  0.667  0.375  1.0
  Mg  Mg13  1  0.834  0.667  0.875  1.0
  Cr  Cr14  1  0.165  0.333  0.125  1.0
  Cd  Cd15  1  0.168  0.834  0.125  1.0
[/CIF]
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