The material structure described by Mg14CeLa crystallizes in the orthorhombic Amm2 space group. There are twelve inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Mg(1), two equivalent Mg(3), two equivalent Mg(5), two equivalent Mg(6), two equivalent Mg(7), and two equivalent La(1) atoms to form distorted MgLa2Mg10 cuboctahedra that share corners with four equivalent Mg(2)Ce2Mg10 cuboctahedra; corners with four equivalent Mg(4)Ce2Mg10 cuboctahedra; corners with four equivalent Ce(1)Mg12 cuboctahedra; corners with six Mg(1,1)La2Mg10 cuboctahedra; edges with two equivalent Mg(1)La2Mg10 cuboctahedra; edges with two equivalent Mg(3)La2Mg10 cuboctahedra; edges with two equivalent La(1)Mg12 cuboctahedra; edges with four equivalent Mg(5)LaCeMg10 cuboctahedra; edges with four Mg(6,6)LaCeMg10 cuboctahedra; edges with four equivalent Mg(7)Mg12 cuboctahedra; faces with two equivalent Mg(2)Ce2Mg10 cuboctahedra; faces with two equivalent Mg(1)La2Mg10 cuboctahedra; faces with two equivalent Mg(3)La2Mg10 cuboctahedra; faces with two equivalent Mg(5)LaCeMg10 cuboctahedra; faces with two equivalent Mg(7)Mg12 cuboctahedra; faces with two equivalent La(1)Mg12 cuboctahedra; and faces with eight Mg(6,6,6)LaCeMg10 cuboctahedra. In the second Mg site, Mg(2) is bonded to two equivalent Mg(2), two equivalent Mg(4), two equivalent Mg(5), two equivalent Mg(6), two equivalent Mg(7), and two equivalent Ce(1) atoms to form distorted MgCe2Mg10 cuboctahedra that share corners with four equivalent Mg(1)La2Mg10 cuboctahedra; corners with four equivalent Mg(3)La2Mg10 cuboctahedra; corners with four equivalent La(1)Mg12 cuboctahedra; corners with six Mg(2,2)Ce2Mg10 cuboctahedra; edges with two equivalent Mg(2)Ce2Mg10 cuboctahedra; edges with two equivalent Mg(4)Ce2Mg10 cuboctahedra; edges with two equivalent Ce(1)Mg12 cuboctahedra; edges with four equivalent Mg(5)LaCeMg10 cuboctahedra; edges with four Mg(6,6)LaCeMg10 cuboctahedra; edges with four equivalent Mg(7)Mg12 cuboctahedra; faces with two equivalent Mg(2)Ce2Mg10 cuboctahedra; faces with two equivalent Mg(4)Ce2Mg10 cuboctahedra; faces with two equivalent Mg(1)La2Mg10 cuboctahedra; faces with two equivalent Mg(5)LaCeMg10 cuboctahedra; faces with two equivalent Mg(7)Mg12 cuboctahedra; faces with two equivalent Ce(1)Mg12 cuboctahedra; and faces with eight Mg(6,6,6)LaCeMg10 cuboctahedra. In the third Mg site, Mg(1) is bonded to two equivalent Mg(1), two equivalent Mg(3), two equivalent Mg(5), two equivalent Mg(6), two equivalent Mg(7), and two equivalent La(1) atoms to form distorted MgLa2Mg10 cuboctahedra that share corners with four equivalent Mg(2)Ce2Mg10 cuboctahedra; corners with four equivalent Mg(4)Ce2Mg10 cuboctahedra; corners with four equivalent Ce(1)Mg12 cuboctahedra; corners with six Mg(1,1)La2Mg10 cuboctahedra; edges with two equivalent Mg(1)La2Mg10 cuboctahedra; edges with two equivalent Mg(3)La2Mg10 cuboctahedra; edges with two equivalent La(1)Mg12 cuboctahedra; edges with four equivalent Mg(5)LaCeMg10 cuboctahedra; edges with four Mg(6,6)LaCeMg10 cuboctahedra; edges with four equivalent Mg(7)Mg12 cuboctahedra; faces with two equivalent Mg(2)Ce2Mg10 cuboctahedra; faces with two equivalent Mg(1)La2Mg10 cuboctahedra; faces with two equivalent Mg(3)La2Mg10 cuboctahedra; faces with two equivalent Mg(5)LaCeMg10 cuboctahedra; faces with two equivalent Mg(7)Mg12 cuboctahedra; faces with two equivalent La(1)Mg12 cuboctahedra; and faces with eight Mg(6,6,6)LaCeMg10 cuboctahedra. In the fourth Mg site, Mg(3) is bonded to two equivalent Mg(7); four Mg(1,1); four Mg(6,6); and two equivalent La(1) atoms to form distorted MgLa2Mg10 cuboctahedra that share corners with four equivalent Ce(1)Mg12 cuboctahedra; corners with six equivalent Mg(3)La2Mg10 cuboctahedra; corners with eight Mg(2,2)Ce2Mg10 cuboctahedra; edges with two equivalent La(1)Mg12 cuboctahedra; edges with four Mg(1,1)La2Mg10 cuboctahedra; edges with four equivalent Mg(7)Mg12 cuboctahedra; edges with eight Mg(6,6,6,6)LaCeMg10 cuboctahedra; faces with two equivalent Mg(4)Ce2Mg10 cuboctahedra; faces with two equivalent Mg(7)Mg12 cuboctahedra; faces with two equivalent La(1)Mg12 cuboctahedra; faces with four Mg(1,1)La2Mg10 cuboctahedra; faces with four Mg(6,6)LaCeMg10 cuboctahedra; and faces with six equivalent Mg(5)LaCeMg10 cuboctahedra. In the fifth Mg site, Mg(4) is bonded to two equivalent Mg(7); four Mg(2,2); four Mg(6,6); and two equivalent Ce(1) atoms to form distorted MgCe2Mg10 cuboctahedra that share corners with four equivalent La(1)Mg12 cuboctahedra; corners with six equivalent Mg(4)Ce2Mg10 cuboctahedra; corners with eight Mg(1,1)La2Mg10 cuboctahedra; edges with two equivalent Ce(1)Mg12 cuboctahedra; edges with four Mg(2,2)Ce2Mg10 cuboctahedra; edges with four equivalent Mg(7)Mg12 cuboctahedra; edges with eight Mg(6,6,6,6)LaCeMg10 cuboctahedra; faces with two equivalent Mg(3)La2Mg10 cuboctahedra; faces with two equivalent Mg(7)Mg12 cuboctahedra; faces with two equivalent Ce(1)Mg12 cuboctahedra; faces with four Mg(2,2)Ce2Mg10 cuboctahedra; faces with four Mg(6,6)LaCeMg10 cuboctahedra; and faces with six equivalent Mg(5)LaCeMg10 cuboctahedra. In the sixth Mg site, Mg(5) is bonded to two Mg(1,1); two equivalent Mg(2); two equivalent Mg(7); four Mg(6,6); one Ce(1); and one La(1) atom to form distorted MgLaCeMg10 cuboctahedra that share corners with four equivalent Mg(7)Mg12 cuboctahedra; corners with six equivalent Mg(5)LaCeMg10 cuboctahedra; corners with eight Mg(6,6,6,6)LaCeMg10 cuboctahedra; edges with two equivalent Mg(7)Mg12 cuboctahedra; edges with two equivalent Ce(1)Mg12 cuboctahedra; edges with two equivalent La(1)Mg12 cuboctahedra; edges with four Mg(2,2)Ce2Mg10 cuboctahedra; edges with four Mg(1,1)La2Mg10 cuboctahedra; edges with four Mg(6,6)LaCeMg10 cuboctahedra;  a faceface with one Ce(1)Mg12 cuboctahedra;  a faceface with one La(1)Mg12 cuboctahedra; faces with two equivalent Mg(2)Ce2Mg10 cuboctahedra; faces with two Mg(1,1)La2Mg10 cuboctahedra; faces with two equivalent Mg(5)LaCeMg10 cuboctahedra; faces with two equivalent Mg(7)Mg12 cuboctahedra; faces with three equivalent Mg(4)Ce2Mg10 cuboctahedra; faces with three equivalent Mg(3)La2Mg10 cuboctahedra; and faces with four Mg(6,6)LaCeMg10 cuboctahedra. In the seventh Mg site, Mg(6) 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 Ce(1), and one La(1) atom to form distorted MgLaCeMg10 cuboctahedra that share corners with four equivalent Mg(5)LaCeMg10 cuboctahedra; corners with four equivalent Mg(7)Mg12 cuboctahedra; corners with ten Mg(6,6)LaCeMg10 cuboctahedra; edges with two equivalent Mg(2)Ce2Mg10 cuboctahedra; edges with two equivalent Mg(4)Ce2Mg10 cuboctahedra; edges with two equivalent Mg(1)La2Mg10 cuboctahedra; edges with two equivalent Mg(3)La2Mg10 cuboctahedra; edges with two equivalent Mg(5)LaCeMg10 cuboctahedra; edges with two equivalent Mg(6)LaCeMg10 cuboctahedra; edges with two equivalent Mg(7)Mg12 cuboctahedra; edges with two equivalent Ce(1)Mg12 cuboctahedra; edges with two equivalent La(1)Mg12 cuboctahedra;  a faceface with one Mg(4)Ce2Mg10 cuboctahedra;  a faceface with one Mg(3)La2Mg10 cuboctahedra;  a faceface with one Ce(1)Mg12 cuboctahedra;  a faceface with one La(1)Mg12 cuboctahedra; faces with two equivalent Mg(5)LaCeMg10 cuboctahedra; faces with two equivalent Mg(7)Mg12 cuboctahedra; faces with four Mg(2,2)Ce2Mg10 cuboctahedra; faces with four Mg(1,1)La2Mg10 cuboctahedra; and faces with four Mg(6,6)LaCeMg10 cuboctahedra. In the eighth Mg site, Mg(6) 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 Ce(1), and one La(1) atom to form distorted MgLaCeMg10 cuboctahedra that share corners with four equivalent Mg(5)LaCeMg10 cuboctahedra; corners with four equivalent Mg(7)Mg12 cuboctahedra; corners with ten Mg(6,6)LaCeMg10 cuboctahedra; edges with two equivalent Mg(2)Ce2Mg10 cuboctahedra; edges with two equivalent Mg(4)Ce2Mg10 cuboctahedra; edges with two equivalent Mg(1)La2Mg10 cuboctahedra; edges with two equivalent Mg(3)La2Mg10 cuboctahedra; edges with two equivalent Mg(5)LaCeMg10 cuboctahedra; edges with two equivalent Mg(6)LaCeMg10 cuboctahedra; edges with two equivalent Mg(7)Mg12 cuboctahedra; edges with two equivalent Ce(1)Mg12 cuboctahedra; edges with two equivalent La(1)Mg12 cuboctahedra;  a faceface with one Mg(4)Ce2Mg10 cuboctahedra;  a faceface with one Mg(3)La2Mg10 cuboctahedra;  a faceface with one Ce(1)Mg12 cuboctahedra;  a faceface with one La(1)Mg12 cuboctahedra; faces with two equivalent Mg(5)LaCeMg10 cuboctahedra; faces with two equivalent Mg(7)Mg12 cuboctahedra; faces with four Mg(2,2)Ce2Mg10 cuboctahedra; faces with four Mg(1,1)La2Mg10 cuboctahedra; and faces with four Mg(6,6)LaCeMg10 cuboctahedra. In the ninth Mg site, Mg(7) is bonded to one Mg(3); one Mg(4); two Mg(1,1); two equivalent Mg(2); two equivalent Mg(5); and four Mg(6,6) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Mg(5)LaCeMg10 cuboctahedra; corners with six equivalent Mg(7)Mg12 cuboctahedra; corners with eight Mg(6,6,6,6)LaCeMg10 cuboctahedra; edges with two equivalent Mg(4)Ce2Mg10 cuboctahedra; edges with two equivalent Mg(3)La2Mg10 cuboctahedra; edges with two equivalent Mg(5)LaCeMg10 cuboctahedra; edges with four Mg(2,2)Ce2Mg10 cuboctahedra; edges with four Mg(1,1)La2Mg10 cuboctahedra; edges with four Mg(6,6)LaCeMg10 cuboctahedra;  a faceface with one Mg(4)Ce2Mg10 cuboctahedra;  a faceface with one Mg(3)La2Mg10 cuboctahedra; faces with two equivalent Mg(2)Ce2Mg10 cuboctahedra; faces with two Mg(1,1)La2Mg10 cuboctahedra; faces with two equivalent Mg(5)LaCeMg10 cuboctahedra; faces with two equivalent Mg(7)Mg12 cuboctahedra; faces with three equivalent Ce(1)Mg12 cuboctahedra; faces with three equivalent La(1)Mg12 cuboctahedra; and faces with four Mg(6,6)LaCeMg10 cuboctahedra. In the tenth Mg site, Mg(2) is bonded to two equivalent Mg(2); two equivalent Mg(4); two equivalent Mg(5); two Mg(6,6); two equivalent Mg(7); and two equivalent Ce(1) atoms to form distorted MgCe2Mg10 cuboctahedra that share corners with four equivalent Mg(1)La2Mg10 cuboctahedra; corners with four equivalent Mg(3)La2Mg10 cuboctahedra; corners with four equivalent La(1)Mg12 cuboctahedra; corners with six Mg(2,2)Ce2Mg10 cuboctahedra; edges with two equivalent Mg(2)Ce2Mg10 cuboctahedra; edges with two equivalent Mg(4)Ce2Mg10 cuboctahedra; edges with two equivalent Ce(1)Mg12 cuboctahedra; edges with four equivalent Mg(5)LaCeMg10 cuboctahedra; edges with four equivalent Mg(6)LaCeMg10 cuboctahedra; edges with four equivalent Mg(7)Mg12 cuboctahedra; faces with two equivalent Mg(2)Ce2Mg10 cuboctahedra; faces with two equivalent Mg(4)Ce2Mg10 cuboctahedra; faces with two equivalent Mg(1)La2Mg10 cuboctahedra; faces with two equivalent Mg(5)LaCeMg10 cuboctahedra; faces with two equivalent Mg(7)Mg12 cuboctahedra; faces with two equivalent Ce(1)Mg12 cuboctahedra; and faces with eight Mg(6,6,6)LaCeMg10 cuboctahedra. In the eleventh Mg site, Mg(6) 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 Ce(1), and one La(1) atom to form distorted MgLaCeMg10 cuboctahedra that share corners with four equivalent Mg(5)LaCeMg10 cuboctahedra; corners with four equivalent Mg(7)Mg12 cuboctahedra; corners with ten Mg(6,6,6)LaCeMg10 cuboctahedra; edges with two equivalent Mg(2)Ce2Mg10 cuboctahedra; edges with two equivalent Mg(4)Ce2Mg10 cuboctahedra; edges with two equivalent Mg(1)La2Mg10 cuboctahedra; edges with two equivalent Mg(3)La2Mg10 cuboctahedra; edges with two equivalent Mg(5)LaCeMg10 cuboctahedra; edges with two equivalent Mg(6)LaCeMg10 cuboctahedra; edges with two equivalent Mg(7)Mg12 cuboctahedra; edges with two equivalent Ce(1)Mg12 cuboctahedra; edges with two equivalent La(1)Mg12 cuboctahedra;  a faceface with one Mg(4)Ce2Mg10 cuboctahedra;  a faceface with one Mg(3)La2Mg10 cuboctahedra;  a faceface with one Ce(1)Mg12 cuboctahedra;  a faceface with one La(1)Mg12 cuboctahedra; faces with two equivalent Mg(5)LaCeMg10 cuboctahedra; faces with two equivalent Mg(7)Mg12 cuboctahedra; faces with four Mg(2,2)Ce2Mg10 cuboctahedra; faces with four Mg(1,1)La2Mg10 cuboctahedra; and faces with four Mg(6,6)LaCeMg10 cuboctahedra. In the twelfth Mg site, Mg(6) 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 Ce(1), and one La(1) atom to form distorted MgLaCeMg10 cuboctahedra that share corners with four equivalent Mg(5)LaCeMg10 cuboctahedra; corners with four equivalent Mg(7)Mg12 cuboctahedra; corners with ten Mg(6,6)LaCeMg10 cuboctahedra; edges with two equivalent Mg(2)Ce2Mg10 cuboctahedra; edges with two equivalent Mg(4)Ce2Mg10 cuboctahedra; edges with two equivalent Mg(1)La2Mg10 cuboctahedra; edges with two equivalent Mg(3)La2Mg10 cuboctahedra; edges with two equivalent Mg(5)LaCeMg10 cuboctahedra; edges with two equivalent Mg(6)LaCeMg10 cuboctahedra; edges with two equivalent Mg(7)Mg12 cuboctahedra; edges with two equivalent Ce(1)Mg12 cuboctahedra; edges with two equivalent La(1)Mg12 cuboctahedra;  a faceface with one Mg(4)Ce2Mg10 cuboctahedra;  a faceface with one Mg(3)La2Mg10 cuboctahedra;  a faceface with one Ce(1)Mg12 cuboctahedra;  a faceface with one La(1)Mg12 cuboctahedra; faces with two equivalent Mg(5)LaCeMg10 cuboctahedra; faces with two equivalent Mg(7)Mg12 cuboctahedra; faces with four Mg(2,2)Ce2Mg10 cuboctahedra; faces with four Mg(1,1)La2Mg10 cuboctahedra; and faces with four Mg(6,6)LaCeMg10 cuboctahedra. Ce(1) is bonded to two equivalent Mg(4); two equivalent Mg(5); four Mg(2,2); and four Mg(6,6) atoms to form CeMg12 cuboctahedra that share corners with four equivalent Mg(3)La2Mg10 cuboctahedra; corners with six equivalent Ce(1)Mg12 cuboctahedra; corners with eight Mg(1,1)La2Mg10 cuboctahedra; edges with two equivalent Mg(4)Ce2Mg10 cuboctahedra; edges with four Mg(2,2)Ce2Mg10 cuboctahedra; edges with four equivalent Mg(5)LaCeMg10 cuboctahedra; edges with eight Mg(6,6,6,6)LaCeMg10 cuboctahedra; faces with two equivalent Mg(4)Ce2Mg10 cuboctahedra; faces with two equivalent Mg(5)LaCeMg10 cuboctahedra; faces with two equivalent La(1)Mg12 cuboctahedra; faces with four Mg(2,2)Ce2Mg10 cuboctahedra; faces with four Mg(6,6)LaCeMg10 cuboctahedra; and faces with six equivalent Mg(7)Mg12 cuboctahedra. La(1) is bonded to two equivalent Mg(3); two equivalent Mg(5); four Mg(1,1); and four Mg(6,6) atoms to form LaMg12 cuboctahedra that share corners with four equivalent Mg(4)Ce2Mg10 cuboctahedra; corners with six equivalent La(1)Mg12 cuboctahedra; corners with eight Mg(2,2)Ce2Mg10 cuboctahedra; edges with two equivalent Mg(3)La2Mg10 cuboctahedra; edges with four Mg(1,1)La2Mg10 cuboctahedra; edges with four equivalent Mg(5)LaCeMg10 cuboctahedra; edges with eight Mg(6,6,6,6)LaCeMg10 cuboctahedra; faces with two equivalent Mg(3)La2Mg10 cuboctahedra; faces with two equivalent Mg(5)LaCeMg10 cuboctahedra; faces with two equivalent Ce(1)Mg12 cuboctahedra; faces with four Mg(1,1)La2Mg10 cuboctahedra; faces with four Mg(6,6)LaCeMg10 cuboctahedra; and faces with six equivalent Mg(7)Mg12 cuboctahedra. is represented by the CIF card [CIF]
data_LaCeMg14
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.724
_cell_length_b   6.718
_cell_length_c   10.286
_cell_angle_alpha   89.683
_cell_angle_beta   90.419
_cell_angle_gamma   120.171
_symmetry_Int_Tables_number   1
_cell_volume   401.650
_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
  La  La0  1  0.167  0.333  0.125  1.0
  Ce  Ce1  1  0.166  0.333  0.625  1.0
  Mg  Mg2  1  0.174  0.837  0.125  1.0
  Mg  Mg3  1  0.173  0.837  0.625  1.0
  Mg  Mg4  1  0.663  0.326  0.125  1.0
  Mg  Mg5  1  0.663  0.326  0.625  1.0
  Mg  Mg6  1  0.663  0.837  0.125  1.0
  Mg  Mg7  1  0.663  0.837  0.625  1.0
  Mg  Mg8  1  0.340  0.161  0.377  1.0
  Mg  Mg9  1  0.340  0.161  0.874  1.0
  Mg  Mg10  1  0.340  0.679  0.376  1.0
  Mg  Mg11  1  0.339  0.679  0.874  1.0
  Mg  Mg12  1  0.822  0.161  0.376  1.0
  Mg  Mg13  1  0.822  0.161  0.874  1.0
  Mg  Mg14  1  0.833  0.667  0.375  1.0
  Mg  Mg15  1  0.833  0.667  0.875  1.0
[/CIF]
.
The material structure described by Mg14CeLa crystallizes in the orthorhombic Amm2 space group. There are twelve inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Mg(1), two equivalent Mg(3), two equivalent Mg(5), two equivalent Mg(6), two equivalent Mg(7), and two equivalent La(1) atoms to form distorted MgLa2Mg10 cuboctahedra that share corners with four equivalent Mg(2)Ce2Mg10 cuboctahedra; corners with four equivalent Mg(4)Ce2Mg10 cuboctahedra; corners with four equivalent Ce(1)Mg12 cuboctahedra; corners with six Mg(1,1)La2Mg10 cuboctahedra; edges with two equivalent Mg(1)La2Mg10 cuboctahedra; edges with two equivalent Mg(3)La2Mg10 cuboctahedra; edges with two equivalent La(1)Mg12 cuboctahedra; edges with four equivalent Mg(5)LaCeMg10 cuboctahedra; edges with four Mg(6,6)LaCeMg10 cuboctahedra; edges with four equivalent Mg(7)Mg12 cuboctahedra; faces with two equivalent Mg(2)Ce2Mg10 cuboctahedra; faces with two equivalent Mg(1)La2Mg10 cuboctahedra; faces with two equivalent Mg(3)La2Mg10 cuboctahedra; faces with two equivalent Mg(5)LaCeMg10 cuboctahedra; faces with two equivalent Mg(7)Mg12 cuboctahedra; faces with two equivalent La(1)Mg12 cuboctahedra; and faces with eight Mg(6,6,6)LaCeMg10 cuboctahedra. In the second Mg site, Mg(2) is bonded to two equivalent Mg(2), two equivalent Mg(4), two equivalent Mg(5), two equivalent Mg(6), two equivalent Mg(7), and two equivalent Ce(1) atoms to form distorted MgCe2Mg10 cuboctahedra that share corners with four equivalent Mg(1)La2Mg10 cuboctahedra; corners with four equivalent Mg(3)La2Mg10 cuboctahedra; corners with four equivalent La(1)Mg12 cuboctahedra; corners with six Mg(2,2)Ce2Mg10 cuboctahedra; edges with two equivalent Mg(2)Ce2Mg10 cuboctahedra; edges with two equivalent Mg(4)Ce2Mg10 cuboctahedra; edges with two equivalent Ce(1)Mg12 cuboctahedra; edges with four equivalent Mg(5)LaCeMg10 cuboctahedra; edges with four Mg(6,6)LaCeMg10 cuboctahedra; edges with four equivalent Mg(7)Mg12 cuboctahedra; faces with two equivalent Mg(2)Ce2Mg10 cuboctahedra; faces with two equivalent Mg(4)Ce2Mg10 cuboctahedra; faces with two equivalent Mg(1)La2Mg10 cuboctahedra; faces with two equivalent Mg(5)LaCeMg10 cuboctahedra; faces with two equivalent Mg(7)Mg12 cuboctahedra; faces with two equivalent Ce(1)Mg12 cuboctahedra; and faces with eight Mg(6,6,6)LaCeMg10 cuboctahedra. In the third Mg site, Mg(1) is bonded to two equivalent Mg(1), two equivalent Mg(3), two equivalent Mg(5), two equivalent Mg(6), two equivalent Mg(7), and two equivalent La(1) atoms to form distorted MgLa2Mg10 cuboctahedra that share corners with four equivalent Mg(2)Ce2Mg10 cuboctahedra; corners with four equivalent Mg(4)Ce2Mg10 cuboctahedra; corners with four equivalent Ce(1)Mg12 cuboctahedra; corners with six Mg(1,1)La2Mg10 cuboctahedra; edges with two equivalent Mg(1)La2Mg10 cuboctahedra; edges with two equivalent Mg(3)La2Mg10 cuboctahedra; edges with two equivalent La(1)Mg12 cuboctahedra; edges with four equivalent Mg(5)LaCeMg10 cuboctahedra; edges with four Mg(6,6)LaCeMg10 cuboctahedra; edges with four equivalent Mg(7)Mg12 cuboctahedra; faces with two equivalent Mg(2)Ce2Mg10 cuboctahedra; faces with two equivalent Mg(1)La2Mg10 cuboctahedra; faces with two equivalent Mg(3)La2Mg10 cuboctahedra; faces with two equivalent Mg(5)LaCeMg10 cuboctahedra; faces with two equivalent Mg(7)Mg12 cuboctahedra; faces with two equivalent La(1)Mg12 cuboctahedra; and faces with eight Mg(6,6,6)LaCeMg10 cuboctahedra. In the fourth Mg site, Mg(3) is bonded to two equivalent Mg(7); four Mg(1,1); four Mg(6,6); and two equivalent La(1) atoms to form distorted MgLa2Mg10 cuboctahedra that share corners with four equivalent Ce(1)Mg12 cuboctahedra; corners with six equivalent Mg(3)La2Mg10 cuboctahedra; corners with eight Mg(2,2)Ce2Mg10 cuboctahedra; edges with two equivalent La(1)Mg12 cuboctahedra; edges with four Mg(1,1)La2Mg10 cuboctahedra; edges with four equivalent Mg(7)Mg12 cuboctahedra; edges with eight Mg(6,6,6,6)LaCeMg10 cuboctahedra; faces with two equivalent Mg(4)Ce2Mg10 cuboctahedra; faces with two equivalent Mg(7)Mg12 cuboctahedra; faces with two equivalent La(1)Mg12 cuboctahedra; faces with four Mg(1,1)La2Mg10 cuboctahedra; faces with four Mg(6,6)LaCeMg10 cuboctahedra; and faces with six equivalent Mg(5)LaCeMg10 cuboctahedra. In the fifth Mg site, Mg(4) is bonded to two equivalent Mg(7); four Mg(2,2); four Mg(6,6); and two equivalent Ce(1) atoms to form distorted MgCe2Mg10 cuboctahedra that share corners with four equivalent La(1)Mg12 cuboctahedra; corners with six equivalent Mg(4)Ce2Mg10 cuboctahedra; corners with eight Mg(1,1)La2Mg10 cuboctahedra; edges with two equivalent Ce(1)Mg12 cuboctahedra; edges with four Mg(2,2)Ce2Mg10 cuboctahedra; edges with four equivalent Mg(7)Mg12 cuboctahedra; edges with eight Mg(6,6,6,6)LaCeMg10 cuboctahedra; faces with two equivalent Mg(3)La2Mg10 cuboctahedra; faces with two equivalent Mg(7)Mg12 cuboctahedra; faces with two equivalent Ce(1)Mg12 cuboctahedra; faces with four Mg(2,2)Ce2Mg10 cuboctahedra; faces with four Mg(6,6)LaCeMg10 cuboctahedra; and faces with six equivalent Mg(5)LaCeMg10 cuboctahedra. In the sixth Mg site, Mg(5) is bonded to two Mg(1,1); two equivalent Mg(2); two equivalent Mg(7); four Mg(6,6); one Ce(1); and one La(1) atom to form distorted MgLaCeMg10 cuboctahedra that share corners with four equivalent Mg(7)Mg12 cuboctahedra; corners with six equivalent Mg(5)LaCeMg10 cuboctahedra; corners with eight Mg(6,6,6,6)LaCeMg10 cuboctahedra; edges with two equivalent Mg(7)Mg12 cuboctahedra; edges with two equivalent Ce(1)Mg12 cuboctahedra; edges with two equivalent La(1)Mg12 cuboctahedra; edges with four Mg(2,2)Ce2Mg10 cuboctahedra; edges with four Mg(1,1)La2Mg10 cuboctahedra; edges with four Mg(6,6)LaCeMg10 cuboctahedra;  a faceface with one Ce(1)Mg12 cuboctahedra;  a faceface with one La(1)Mg12 cuboctahedra; faces with two equivalent Mg(2)Ce2Mg10 cuboctahedra; faces with two Mg(1,1)La2Mg10 cuboctahedra; faces with two equivalent Mg(5)LaCeMg10 cuboctahedra; faces with two equivalent Mg(7)Mg12 cuboctahedra; faces with three equivalent Mg(4)Ce2Mg10 cuboctahedra; faces with three equivalent Mg(3)La2Mg10 cuboctahedra; and faces with four Mg(6,6)LaCeMg10 cuboctahedra. In the seventh Mg site, Mg(6) 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 Ce(1), and one La(1) atom to form distorted MgLaCeMg10 cuboctahedra that share corners with four equivalent Mg(5)LaCeMg10 cuboctahedra; corners with four equivalent Mg(7)Mg12 cuboctahedra; corners with ten Mg(6,6)LaCeMg10 cuboctahedra; edges with two equivalent Mg(2)Ce2Mg10 cuboctahedra; edges with two equivalent Mg(4)Ce2Mg10 cuboctahedra; edges with two equivalent Mg(1)La2Mg10 cuboctahedra; edges with two equivalent Mg(3)La2Mg10 cuboctahedra; edges with two equivalent Mg(5)LaCeMg10 cuboctahedra; edges with two equivalent Mg(6)LaCeMg10 cuboctahedra; edges with two equivalent Mg(7)Mg12 cuboctahedra; edges with two equivalent Ce(1)Mg12 cuboctahedra; edges with two equivalent La(1)Mg12 cuboctahedra;  a faceface with one Mg(4)Ce2Mg10 cuboctahedra;  a faceface with one Mg(3)La2Mg10 cuboctahedra;  a faceface with one Ce(1)Mg12 cuboctahedra;  a faceface with one La(1)Mg12 cuboctahedra; faces with two equivalent Mg(5)LaCeMg10 cuboctahedra; faces with two equivalent Mg(7)Mg12 cuboctahedra; faces with four Mg(2,2)Ce2Mg10 cuboctahedra; faces with four Mg(1,1)La2Mg10 cuboctahedra; and faces with four Mg(6,6)LaCeMg10 cuboctahedra. In the eighth Mg site, Mg(6) 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 Ce(1), and one La(1) atom to form distorted MgLaCeMg10 cuboctahedra that share corners with four equivalent Mg(5)LaCeMg10 cuboctahedra; corners with four equivalent Mg(7)Mg12 cuboctahedra; corners with ten Mg(6,6)LaCeMg10 cuboctahedra; edges with two equivalent Mg(2)Ce2Mg10 cuboctahedra; edges with two equivalent Mg(4)Ce2Mg10 cuboctahedra; edges with two equivalent Mg(1)La2Mg10 cuboctahedra; edges with two equivalent Mg(3)La2Mg10 cuboctahedra; edges with two equivalent Mg(5)LaCeMg10 cuboctahedra; edges with two equivalent Mg(6)LaCeMg10 cuboctahedra; edges with two equivalent Mg(7)Mg12 cuboctahedra; edges with two equivalent Ce(1)Mg12 cuboctahedra; edges with two equivalent La(1)Mg12 cuboctahedra;  a faceface with one Mg(4)Ce2Mg10 cuboctahedra;  a faceface with one Mg(3)La2Mg10 cuboctahedra;  a faceface with one Ce(1)Mg12 cuboctahedra;  a faceface with one La(1)Mg12 cuboctahedra; faces with two equivalent Mg(5)LaCeMg10 cuboctahedra; faces with two equivalent Mg(7)Mg12 cuboctahedra; faces with four Mg(2,2)Ce2Mg10 cuboctahedra; faces with four Mg(1,1)La2Mg10 cuboctahedra; and faces with four Mg(6,6)LaCeMg10 cuboctahedra. In the ninth Mg site, Mg(7) is bonded to one Mg(3); one Mg(4); two Mg(1,1); two equivalent Mg(2); two equivalent Mg(5); and four Mg(6,6) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Mg(5)LaCeMg10 cuboctahedra; corners with six equivalent Mg(7)Mg12 cuboctahedra; corners with eight Mg(6,6,6,6)LaCeMg10 cuboctahedra; edges with two equivalent Mg(4)Ce2Mg10 cuboctahedra; edges with two equivalent Mg(3)La2Mg10 cuboctahedra; edges with two equivalent Mg(5)LaCeMg10 cuboctahedra; edges with four Mg(2,2)Ce2Mg10 cuboctahedra; edges with four Mg(1,1)La2Mg10 cuboctahedra; edges with four Mg(6,6)LaCeMg10 cuboctahedra;  a faceface with one Mg(4)Ce2Mg10 cuboctahedra;  a faceface with one Mg(3)La2Mg10 cuboctahedra; faces with two equivalent Mg(2)Ce2Mg10 cuboctahedra; faces with two Mg(1,1)La2Mg10 cuboctahedra; faces with two equivalent Mg(5)LaCeMg10 cuboctahedra; faces with two equivalent Mg(7)Mg12 cuboctahedra; faces with three equivalent Ce(1)Mg12 cuboctahedra; faces with three equivalent La(1)Mg12 cuboctahedra; and faces with four Mg(6,6)LaCeMg10 cuboctahedra. In the tenth Mg site, Mg(2) is bonded to two equivalent Mg(2); two equivalent Mg(4); two equivalent Mg(5); two Mg(6,6); two equivalent Mg(7); and two equivalent Ce(1) atoms to form distorted MgCe2Mg10 cuboctahedra that share corners with four equivalent Mg(1)La2Mg10 cuboctahedra; corners with four equivalent Mg(3)La2Mg10 cuboctahedra; corners with four equivalent La(1)Mg12 cuboctahedra; corners with six Mg(2,2)Ce2Mg10 cuboctahedra; edges with two equivalent Mg(2)Ce2Mg10 cuboctahedra; edges with two equivalent Mg(4)Ce2Mg10 cuboctahedra; edges with two equivalent Ce(1)Mg12 cuboctahedra; edges with four equivalent Mg(5)LaCeMg10 cuboctahedra; edges with four equivalent Mg(6)LaCeMg10 cuboctahedra; edges with four equivalent Mg(7)Mg12 cuboctahedra; faces with two equivalent Mg(2)Ce2Mg10 cuboctahedra; faces with two equivalent Mg(4)Ce2Mg10 cuboctahedra; faces with two equivalent Mg(1)La2Mg10 cuboctahedra; faces with two equivalent Mg(5)LaCeMg10 cuboctahedra; faces with two equivalent Mg(7)Mg12 cuboctahedra; faces with two equivalent Ce(1)Mg12 cuboctahedra; and faces with eight Mg(6,6,6)LaCeMg10 cuboctahedra. In the eleventh Mg site, Mg(6) 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 Ce(1), and one La(1) atom to form distorted MgLaCeMg10 cuboctahedra that share corners with four equivalent Mg(5)LaCeMg10 cuboctahedra; corners with four equivalent Mg(7)Mg12 cuboctahedra; corners with ten Mg(6,6,6)LaCeMg10 cuboctahedra; edges with two equivalent Mg(2)Ce2Mg10 cuboctahedra; edges with two equivalent Mg(4)Ce2Mg10 cuboctahedra; edges with two equivalent Mg(1)La2Mg10 cuboctahedra; edges with two equivalent Mg(3)La2Mg10 cuboctahedra; edges with two equivalent Mg(5)LaCeMg10 cuboctahedra; edges with two equivalent Mg(6)LaCeMg10 cuboctahedra; edges with two equivalent Mg(7)Mg12 cuboctahedra; edges with two equivalent Ce(1)Mg12 cuboctahedra; edges with two equivalent La(1)Mg12 cuboctahedra;  a faceface with one Mg(4)Ce2Mg10 cuboctahedra;  a faceface with one Mg(3)La2Mg10 cuboctahedra;  a faceface with one Ce(1)Mg12 cuboctahedra;  a faceface with one La(1)Mg12 cuboctahedra; faces with two equivalent Mg(5)LaCeMg10 cuboctahedra; faces with two equivalent Mg(7)Mg12 cuboctahedra; faces with four Mg(2,2)Ce2Mg10 cuboctahedra; faces with four Mg(1,1)La2Mg10 cuboctahedra; and faces with four Mg(6,6)LaCeMg10 cuboctahedra. In the twelfth Mg site, Mg(6) 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 Ce(1), and one La(1) atom to form distorted MgLaCeMg10 cuboctahedra that share corners with four equivalent Mg(5)LaCeMg10 cuboctahedra; corners with four equivalent Mg(7)Mg12 cuboctahedra; corners with ten Mg(6,6)LaCeMg10 cuboctahedra; edges with two equivalent Mg(2)Ce2Mg10 cuboctahedra; edges with two equivalent Mg(4)Ce2Mg10 cuboctahedra; edges with two equivalent Mg(1)La2Mg10 cuboctahedra; edges with two equivalent Mg(3)La2Mg10 cuboctahedra; edges with two equivalent Mg(5)LaCeMg10 cuboctahedra; edges with two equivalent Mg(6)LaCeMg10 cuboctahedra; edges with two equivalent Mg(7)Mg12 cuboctahedra; edges with two equivalent Ce(1)Mg12 cuboctahedra; edges with two equivalent La(1)Mg12 cuboctahedra;  a faceface with one Mg(4)Ce2Mg10 cuboctahedra;  a faceface with one Mg(3)La2Mg10 cuboctahedra;  a faceface with one Ce(1)Mg12 cuboctahedra;  a faceface with one La(1)Mg12 cuboctahedra; faces with two equivalent Mg(5)LaCeMg10 cuboctahedra; faces with two equivalent Mg(7)Mg12 cuboctahedra; faces with four Mg(2,2)Ce2Mg10 cuboctahedra; faces with four Mg(1,1)La2Mg10 cuboctahedra; and faces with four Mg(6,6)LaCeMg10 cuboctahedra. Ce(1) is bonded to two equivalent Mg(4); two equivalent Mg(5); four Mg(2,2); and four Mg(6,6) atoms to form CeMg12 cuboctahedra that share corners with four equivalent Mg(3)La2Mg10 cuboctahedra; corners with six equivalent Ce(1)Mg12 cuboctahedra; corners with eight Mg(1,1)La2Mg10 cuboctahedra; edges with two equivalent Mg(4)Ce2Mg10 cuboctahedra; edges with four Mg(2,2)Ce2Mg10 cuboctahedra; edges with four equivalent Mg(5)LaCeMg10 cuboctahedra; edges with eight Mg(6,6,6,6)LaCeMg10 cuboctahedra; faces with two equivalent Mg(4)Ce2Mg10 cuboctahedra; faces with two equivalent Mg(5)LaCeMg10 cuboctahedra; faces with two equivalent La(1)Mg12 cuboctahedra; faces with four Mg(2,2)Ce2Mg10 cuboctahedra; faces with four Mg(6,6)LaCeMg10 cuboctahedra; and faces with six equivalent Mg(7)Mg12 cuboctahedra. La(1) is bonded to two equivalent Mg(3); two equivalent Mg(5); four Mg(1,1); and four Mg(6,6) atoms to form LaMg12 cuboctahedra that share corners with four equivalent Mg(4)Ce2Mg10 cuboctahedra; corners with six equivalent La(1)Mg12 cuboctahedra; corners with eight Mg(2,2)Ce2Mg10 cuboctahedra; edges with two equivalent Mg(3)La2Mg10 cuboctahedra; edges with four Mg(1,1)La2Mg10 cuboctahedra; edges with four equivalent Mg(5)LaCeMg10 cuboctahedra; edges with eight Mg(6,6,6,6)LaCeMg10 cuboctahedra; faces with two equivalent Mg(3)La2Mg10 cuboctahedra; faces with two equivalent Mg(5)LaCeMg10 cuboctahedra; faces with two equivalent Ce(1)Mg12 cuboctahedra; faces with four Mg(1,1)La2Mg10 cuboctahedra; faces with four Mg(6,6)LaCeMg10 cuboctahedra; and faces with six equivalent Mg(7)Mg12 cuboctahedra. is represented by the CIF card [CIF]
data_LaCeMg14
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.724
_cell_length_b   6.718
_cell_length_c   10.286
_cell_angle_alpha   89.683
_cell_angle_beta   90.419
_cell_angle_gamma   120.171
_symmetry_Int_Tables_number   1
_cell_volume   401.650
_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
  La  La0  1  0.167  0.333  0.125  1.0
  Ce  Ce1  1  0.166  0.333  0.625  1.0
  Mg  Mg2  1  0.174  0.837  0.125  1.0
  Mg  Mg3  1  0.173  0.837  0.625  1.0
  Mg  Mg4  1  0.663  0.326  0.125  1.0
  Mg  Mg5  1  0.663  0.326  0.625  1.0
  Mg  Mg6  1  0.663  0.837  0.125  1.0
  Mg  Mg7  1  0.663  0.837  0.625  1.0
  Mg  Mg8  1  0.340  0.161  0.377  1.0
  Mg  Mg9  1  0.340  0.161  0.874  1.0
  Mg  Mg10  1  0.340  0.679  0.376  1.0
  Mg  Mg11  1  0.339  0.679  0.874  1.0
  Mg  Mg12  1  0.822  0.161  0.376  1.0
  Mg  Mg13  1  0.822  0.161  0.874  1.0
  Mg  Mg14  1  0.833  0.667  0.375  1.0
  Mg  Mg15  1  0.833  0.667  0.875  1.0
[/CIF]
.