The material structure described by Mg14LaNb is beta-derived structured and crystallizes in the orthorhombic Amm2 space group. There are seven inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Mg(2), two equivalent Mg(6), four equivalent Mg(4), and four equivalent Mg(5) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Nb(1)La2Mg10 cuboctahedra, corners with six equivalent Mg(1)Mg12 cuboctahedra, corners with eight equivalent Mg(3)La2Mg8Nb2 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with four equivalent Mg(6)LaMg11 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with eight equivalent Mg(5)LaMg10Nb cuboctahedra, faces with two equivalent Mg(6)LaMg11 cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with two equivalent La(1)Mg10Nb2 cuboctahedra, faces with four equivalent Mg(5)LaMg10Nb cuboctahedra, and faces with four equivalent Mg(4)Mg12 cuboctahedra. In the second Mg site, Mg(2) is bonded to two equivalent Mg(1), two equivalent Mg(7), four equivalent Mg(4), and four equivalent Mg(5) atoms to form MgMg12 cuboctahedra that share corners with four equivalent La(1)Mg10Nb2 cuboctahedra, corners with six equivalent Mg(2)Mg12 cuboctahedra, corners with eight equivalent Mg(3)La2Mg8Nb2 cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with eight equivalent Mg(5)LaMg10Nb cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Nb(1)La2Mg10 cuboctahedra, faces with four equivalent Mg(5)LaMg10Nb cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, and faces with six equivalent Mg(6)LaMg11 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 La(1), and two equivalent Nb(1) atoms to form MgLa2Mg8Nb2 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)La2Mg8Nb2 cuboctahedra, edges with two equivalent Mg(3)La2Mg8Nb2 cuboctahedra, edges with two equivalent La(1)Mg10Nb2 cuboctahedra, edges with two equivalent Nb(1)La2Mg10 cuboctahedra, edges with four equivalent Mg(5)LaMg10Nb cuboctahedra, edges with four equivalent Mg(6)LaMg11 cuboctahedra, faces with two equivalent Mg(3)La2Mg8Nb2 cuboctahedra, faces with two equivalent Mg(6)LaMg11 cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent La(1)Mg10Nb2 cuboctahedra, faces with two equivalent Nb(1)La2Mg10 cuboctahedra, and faces with eight equivalent Mg(5)LaMg10Nb 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)La2Mg8Nb2 cuboctahedra, corners with four equivalent La(1)Mg10Nb2 cuboctahedra, corners with four equivalent Nb(1)La2Mg10 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)LaMg10Nb cuboctahedra, edges with four equivalent Mg(6)LaMg11 cuboctahedra, faces with two equivalent Mg(3)La2Mg8Nb2 cuboctahedra, faces with two equivalent Mg(6)LaMg11 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, and faces with eight equivalent Mg(5)LaMg10Nb cuboctahedra. In the fifth 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 La(1), and one Nb(1) atom to form distorted MgLaMg10Nb cuboctahedra that share corners with four equivalent Mg(6)LaMg11 cuboctahedra, corners with ten equivalent Mg(5)LaMg10Nb cuboctahedra, edges with two equivalent Mg(3)La2Mg8Nb2 cuboctahedra, edges with two equivalent Mg(5)LaMg10Nb cuboctahedra, edges with two equivalent Mg(6)LaMg11 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 La(1)Mg10Nb2 cuboctahedra, edges with two equivalent Nb(1)La2Mg10 cuboctahedra,  a faceface with one Mg(1)Mg12 cuboctahedra,  a faceface with one Mg(2)Mg12 cuboctahedra,  a faceface with one La(1)Mg10Nb2 cuboctahedra,  a faceface with one Nb(1)La2Mg10 cuboctahedra, faces with two equivalent Mg(6)LaMg11 cuboctahedra, faces with four equivalent Mg(3)La2Mg8Nb2 cuboctahedra, faces with four equivalent Mg(5)LaMg10Nb cuboctahedra, and faces with four equivalent Mg(4)Mg12 cuboctahedra. In the sixth Mg site, Mg(6) is bonded to one Mg(1), two equivalent Mg(3), two equivalent Mg(4), two equivalent Mg(7), four equivalent Mg(5), and one La(1) atom to form distorted MgLaMg11 cuboctahedra that share corners with six equivalent Mg(6)LaMg11 cuboctahedra, corners with eight equivalent Mg(5)LaMg10Nb cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with two equivalent La(1)Mg10Nb2 cuboctahedra, edges with four equivalent Mg(3)La2Mg8Nb2 cuboctahedra, edges with four equivalent Mg(5)LaMg10Nb cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra,  a faceface with one Mg(1)Mg12 cuboctahedra,  a faceface with one La(1)Mg10Nb2 cuboctahedra, faces with two equivalent Mg(3)La2Mg8Nb2 cuboctahedra, faces with two equivalent Mg(6)LaMg11 cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with three equivalent Mg(2)Mg12 cuboctahedra, faces with three equivalent Nb(1)La2Mg10 cuboctahedra, and faces with four equivalent Mg(5)LaMg10Nb cuboctahedra. In the seventh Mg site, Mg(7) is bonded in a 12-coordinate geometry to one Mg(2), two equivalent Mg(3), two equivalent Mg(4), two equivalent Mg(6), four equivalent Mg(5), and one Nb(1) atom. La(1) is bonded to two equivalent Mg(6), four equivalent Mg(3), four equivalent Mg(5), and two equivalent Nb(1) atoms to form LaMg10Nb2 cuboctahedra that share corners with four equivalent Mg(2)Mg12 cuboctahedra, corners with six equivalent La(1)Mg10Nb2 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Nb(1)La2Mg10 cuboctahedra, edges with four equivalent Mg(3)La2Mg8Nb2 cuboctahedra, edges with four equivalent Mg(6)LaMg11 cuboctahedra, edges with eight equivalent Mg(5)LaMg10Nb cuboctahedra, faces with two equivalent Mg(6)LaMg11 cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Nb(1)La2Mg10 cuboctahedra, faces with four equivalent Mg(3)La2Mg8Nb2 cuboctahedra, and faces with four equivalent Mg(5)LaMg10Nb cuboctahedra. Nb(1) is bonded to two equivalent Mg(7), four equivalent Mg(3), four equivalent Mg(5), and two equivalent La(1) atoms to form NbLa2Mg10 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra, corners with six equivalent Nb(1)La2Mg10 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent La(1)Mg10Nb2 cuboctahedra, edges with four equivalent Mg(3)La2Mg8Nb2 cuboctahedra, edges with eight equivalent Mg(5)LaMg10Nb cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with two equivalent La(1)Mg10Nb2 cuboctahedra, faces with four equivalent Mg(3)La2Mg8Nb2 cuboctahedra, faces with four equivalent Mg(5)LaMg10Nb cuboctahedra, and faces with six equivalent Mg(6)LaMg11 cuboctahedra. is represented by the CIF card [CIF]
data_LaMg14Nb
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.544
_cell_length_b   6.181
_cell_length_c   10.434
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   118.180
_symmetry_Int_Tables_number   1
_cell_volume   371.973
_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  0.161  0.330  0.125  1.0
  Mg  Mg1  1  0.166  0.333  0.625  1.0
  Mg  Mg2  1  0.164  0.832  0.625  1.0
  Mg  Mg3  1  0.661  0.328  0.125  1.0
  Mg  Mg4  1  0.664  0.333  0.625  1.0
  Mg  Mg5  1  0.661  0.834  0.125  1.0
  Mg  Mg6  1  0.664  0.832  0.625  1.0
  Mg  Mg7  1  0.335  0.159  0.379  1.0
  Mg  Mg8  1  0.335  0.159  0.871  1.0
  Mg  Mg9  1  0.335  0.676  0.379  1.0
  Mg  Mg10  1  0.335  0.676  0.871  1.0
  Mg  Mg11  1  0.829  0.164  0.384  1.0
  Mg  Mg12  1  0.829  0.164  0.866  1.0
  Mg  Mg13  1  0.844  0.672  0.367  1.0
  Mg  Mg14  1  0.844  0.672  0.883  1.0
  Nb  Nb15  1  0.170  0.835  0.125  1.0
[/CIF]
.
The material structure described by Mg14LaNb is beta-derived structured and crystallizes in the orthorhombic Amm2 space group. There are seven inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Mg(2), two equivalent Mg(6), four equivalent Mg(4), and four equivalent Mg(5) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Nb(1)La2Mg10 cuboctahedra, corners with six equivalent Mg(1)Mg12 cuboctahedra, corners with eight equivalent Mg(3)La2Mg8Nb2 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with four equivalent Mg(6)LaMg11 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with eight equivalent Mg(5)LaMg10Nb cuboctahedra, faces with two equivalent Mg(6)LaMg11 cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with two equivalent La(1)Mg10Nb2 cuboctahedra, faces with four equivalent Mg(5)LaMg10Nb cuboctahedra, and faces with four equivalent Mg(4)Mg12 cuboctahedra. In the second Mg site, Mg(2) is bonded to two equivalent Mg(1), two equivalent Mg(7), four equivalent Mg(4), and four equivalent Mg(5) atoms to form MgMg12 cuboctahedra that share corners with four equivalent La(1)Mg10Nb2 cuboctahedra, corners with six equivalent Mg(2)Mg12 cuboctahedra, corners with eight equivalent Mg(3)La2Mg8Nb2 cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with eight equivalent Mg(5)LaMg10Nb cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Nb(1)La2Mg10 cuboctahedra, faces with four equivalent Mg(5)LaMg10Nb cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, and faces with six equivalent Mg(6)LaMg11 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 La(1), and two equivalent Nb(1) atoms to form MgLa2Mg8Nb2 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)La2Mg8Nb2 cuboctahedra, edges with two equivalent Mg(3)La2Mg8Nb2 cuboctahedra, edges with two equivalent La(1)Mg10Nb2 cuboctahedra, edges with two equivalent Nb(1)La2Mg10 cuboctahedra, edges with four equivalent Mg(5)LaMg10Nb cuboctahedra, edges with four equivalent Mg(6)LaMg11 cuboctahedra, faces with two equivalent Mg(3)La2Mg8Nb2 cuboctahedra, faces with two equivalent Mg(6)LaMg11 cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent La(1)Mg10Nb2 cuboctahedra, faces with two equivalent Nb(1)La2Mg10 cuboctahedra, and faces with eight equivalent Mg(5)LaMg10Nb 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)La2Mg8Nb2 cuboctahedra, corners with four equivalent La(1)Mg10Nb2 cuboctahedra, corners with four equivalent Nb(1)La2Mg10 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)LaMg10Nb cuboctahedra, edges with four equivalent Mg(6)LaMg11 cuboctahedra, faces with two equivalent Mg(3)La2Mg8Nb2 cuboctahedra, faces with two equivalent Mg(6)LaMg11 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, and faces with eight equivalent Mg(5)LaMg10Nb cuboctahedra. In the fifth 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 La(1), and one Nb(1) atom to form distorted MgLaMg10Nb cuboctahedra that share corners with four equivalent Mg(6)LaMg11 cuboctahedra, corners with ten equivalent Mg(5)LaMg10Nb cuboctahedra, edges with two equivalent Mg(3)La2Mg8Nb2 cuboctahedra, edges with two equivalent Mg(5)LaMg10Nb cuboctahedra, edges with two equivalent Mg(6)LaMg11 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 La(1)Mg10Nb2 cuboctahedra, edges with two equivalent Nb(1)La2Mg10 cuboctahedra,  a faceface with one Mg(1)Mg12 cuboctahedra,  a faceface with one Mg(2)Mg12 cuboctahedra,  a faceface with one La(1)Mg10Nb2 cuboctahedra,  a faceface with one Nb(1)La2Mg10 cuboctahedra, faces with two equivalent Mg(6)LaMg11 cuboctahedra, faces with four equivalent Mg(3)La2Mg8Nb2 cuboctahedra, faces with four equivalent Mg(5)LaMg10Nb cuboctahedra, and faces with four equivalent Mg(4)Mg12 cuboctahedra. In the sixth Mg site, Mg(6) is bonded to one Mg(1), two equivalent Mg(3), two equivalent Mg(4), two equivalent Mg(7), four equivalent Mg(5), and one La(1) atom to form distorted MgLaMg11 cuboctahedra that share corners with six equivalent Mg(6)LaMg11 cuboctahedra, corners with eight equivalent Mg(5)LaMg10Nb cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with two equivalent La(1)Mg10Nb2 cuboctahedra, edges with four equivalent Mg(3)La2Mg8Nb2 cuboctahedra, edges with four equivalent Mg(5)LaMg10Nb cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra,  a faceface with one Mg(1)Mg12 cuboctahedra,  a faceface with one La(1)Mg10Nb2 cuboctahedra, faces with two equivalent Mg(3)La2Mg8Nb2 cuboctahedra, faces with two equivalent Mg(6)LaMg11 cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with three equivalent Mg(2)Mg12 cuboctahedra, faces with three equivalent Nb(1)La2Mg10 cuboctahedra, and faces with four equivalent Mg(5)LaMg10Nb cuboctahedra. In the seventh Mg site, Mg(7) is bonded in a 12-coordinate geometry to one Mg(2), two equivalent Mg(3), two equivalent Mg(4), two equivalent Mg(6), four equivalent Mg(5), and one Nb(1) atom. La(1) is bonded to two equivalent Mg(6), four equivalent Mg(3), four equivalent Mg(5), and two equivalent Nb(1) atoms to form LaMg10Nb2 cuboctahedra that share corners with four equivalent Mg(2)Mg12 cuboctahedra, corners with six equivalent La(1)Mg10Nb2 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Nb(1)La2Mg10 cuboctahedra, edges with four equivalent Mg(3)La2Mg8Nb2 cuboctahedra, edges with four equivalent Mg(6)LaMg11 cuboctahedra, edges with eight equivalent Mg(5)LaMg10Nb cuboctahedra, faces with two equivalent Mg(6)LaMg11 cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Nb(1)La2Mg10 cuboctahedra, faces with four equivalent Mg(3)La2Mg8Nb2 cuboctahedra, and faces with four equivalent Mg(5)LaMg10Nb cuboctahedra. Nb(1) is bonded to two equivalent Mg(7), four equivalent Mg(3), four equivalent Mg(5), and two equivalent La(1) atoms to form NbLa2Mg10 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra, corners with six equivalent Nb(1)La2Mg10 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent La(1)Mg10Nb2 cuboctahedra, edges with four equivalent Mg(3)La2Mg8Nb2 cuboctahedra, edges with eight equivalent Mg(5)LaMg10Nb cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with two equivalent La(1)Mg10Nb2 cuboctahedra, faces with four equivalent Mg(3)La2Mg8Nb2 cuboctahedra, faces with four equivalent Mg(5)LaMg10Nb cuboctahedra, and faces with six equivalent Mg(6)LaMg11 cuboctahedra. is represented by the CIF card [CIF]
data_LaMg14Nb
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.544
_cell_length_b   6.181
_cell_length_c   10.434
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   118.180
_symmetry_Int_Tables_number   1
_cell_volume   371.973
_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  0.161  0.330  0.125  1.0
  Mg  Mg1  1  0.166  0.333  0.625  1.0
  Mg  Mg2  1  0.164  0.832  0.625  1.0
  Mg  Mg3  1  0.661  0.328  0.125  1.0
  Mg  Mg4  1  0.664  0.333  0.625  1.0
  Mg  Mg5  1  0.661  0.834  0.125  1.0
  Mg  Mg6  1  0.664  0.832  0.625  1.0
  Mg  Mg7  1  0.335  0.159  0.379  1.0
  Mg  Mg8  1  0.335  0.159  0.871  1.0
  Mg  Mg9  1  0.335  0.676  0.379  1.0
  Mg  Mg10  1  0.335  0.676  0.871  1.0
  Mg  Mg11  1  0.829  0.164  0.384  1.0
  Mg  Mg12  1  0.829  0.164  0.866  1.0
  Mg  Mg13  1  0.844  0.672  0.367  1.0
  Mg  Mg14  1  0.844  0.672  0.883  1.0
  Nb  Nb15  1  0.170  0.835  0.125  1.0
[/CIF]
.