The material structure described by Mg14LaV crystallizes in the hexagonal P-6m2 space group. There are six inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Mg(4); four equivalent Mg(1); four Mg(3,3); and two equivalent V(1) atoms to form MgMg10V2 cuboctahedra that share corners with four equivalent La(1)Mg12 cuboctahedra; corners with six equivalent Mg(1)Mg10V2 cuboctahedra; corners with eight Mg(2,2)La2Mg10 cuboctahedra; edges with two equivalent V(1)Mg12 cuboctahedra; edges with four equivalent Mg(1)Mg10V2 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with eight Mg(3,3)LaMg10V cuboctahedra; faces with two equivalent Mg(2)La2Mg10 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent V(1)Mg12 cuboctahedra; faces with four equivalent Mg(1)Mg10V2 cuboctahedra; and faces with ten Mg(3,3)LaMg10V cuboctahedra. In the second Mg site, Mg(2) is bonded to two equivalent Mg(4); four Mg(2,2); four Mg(3,3); and two equivalent La(1) atoms to form distorted MgLa2Mg10 cuboctahedra that share corners with four equivalent V(1)Mg12 cuboctahedra; corners with six equivalent Mg(2)La2Mg10 cuboctahedra; corners with eight equivalent Mg(1)Mg10V2 cuboctahedra; edges with two equivalent La(1)Mg12 cuboctahedra; edges with four Mg(2,2)La2Mg10 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with eight Mg(3,3)LaMg10V cuboctahedra; faces with two equivalent Mg(1)Mg10V2 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent La(1)Mg12 cuboctahedra; faces with four Mg(2,2)La2Mg10 cuboctahedra; and faces with ten Mg(3,3)LaMg10V cuboctahedra. In the third Mg site, Mg(2) is bonded to two equivalent Mg(4), four equivalent Mg(2), four equivalent Mg(3), and two equivalent La(1) atoms to form distorted MgLa2Mg10 cuboctahedra that share corners with four equivalent V(1)Mg12 cuboctahedra; corners with six equivalent Mg(2)La2Mg10 cuboctahedra; corners with eight equivalent Mg(1)Mg10V2 cuboctahedra; edges with two equivalent La(1)Mg12 cuboctahedra; edges with four equivalent Mg(2)La2Mg10 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with eight equivalent Mg(3)LaMg10V cuboctahedra; faces with two equivalent Mg(1)Mg10V2 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent La(1)Mg12 cuboctahedra; faces with four equivalent Mg(2)La2Mg10 cuboctahedra; and faces with ten Mg(3,3)LaMg10V cuboctahedra. In the fourth Mg site, Mg(3) is bonded to two equivalent Mg(1); two Mg(2,2); two equivalent Mg(4); four Mg(3,3); one La(1); and one V(1) atom to form distorted MgLaMg10V cuboctahedra that share corners with four equivalent Mg(4)Mg12 cuboctahedra; corners with fourteen Mg(3,3)LaMg10V cuboctahedra; edges with two equivalent Mg(4)Mg12 cuboctahedra; edges with two equivalent La(1)Mg12 cuboctahedra; edges with two equivalent V(1)Mg12 cuboctahedra; edges with four Mg(2,2)La2Mg10 cuboctahedra; edges with four Mg(3,3)LaMg10V cuboctahedra; edges with four equivalent Mg(1)Mg10V2 cuboctahedra;  a faceface with one La(1)Mg12 cuboctahedra;  a faceface with one V(1)Mg12 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with five Mg(2,2)La2Mg10 cuboctahedra; faces with five equivalent Mg(1)Mg10V2 cuboctahedra; and faces with six Mg(3,3)LaMg10V cuboctahedra. In the fifth Mg site, Mg(3) is bonded to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(4), four equivalent Mg(3), one La(1), and one V(1) atom to form distorted MgLaMg10V cuboctahedra that share corners with four equivalent Mg(4)Mg12 cuboctahedra; corners with fourteen Mg(3,3)LaMg10V cuboctahedra; edges with two equivalent Mg(4)Mg12 cuboctahedra; edges with two equivalent La(1)Mg12 cuboctahedra; edges with two equivalent V(1)Mg12 cuboctahedra; edges with four equivalent Mg(2)La2Mg10 cuboctahedra; edges with four equivalent Mg(3)LaMg10V cuboctahedra; edges with four equivalent Mg(1)Mg10V2 cuboctahedra;  a faceface with one La(1)Mg12 cuboctahedra;  a faceface with one V(1)Mg12 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with five Mg(2,2)La2Mg10 cuboctahedra; faces with five equivalent Mg(1)Mg10V2 cuboctahedra; and faces with six Mg(3,3)LaMg10V cuboctahedra. In the sixth Mg site, Mg(4) is bonded to three equivalent Mg(1); three Mg(2,2); and six Mg(3,3) atoms to form MgMg12 cuboctahedra that share corners with six equivalent Mg(4)Mg12 cuboctahedra; corners with twelve Mg(3,3)LaMg10V cuboctahedra; edges with six Mg(2,2)La2Mg10 cuboctahedra; edges with six Mg(3,3)LaMg10V cuboctahedra; edges with six equivalent Mg(1)Mg10V2 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with three Mg(2,2)La2Mg10 cuboctahedra; faces with three equivalent Mg(1)Mg10V2 cuboctahedra; faces with three equivalent La(1)Mg12 cuboctahedra; faces with three equivalent V(1)Mg12 cuboctahedra; and faces with six Mg(3,3)LaMg10V cuboctahedra. La(1) is bonded to six Mg(2,2) and six Mg(3,3) atoms to form LaMg12 cuboctahedra that share corners with six equivalent La(1)Mg12 cuboctahedra; corners with twelve equivalent Mg(1)Mg10V2 cuboctahedra; edges with six Mg(2,2)La2Mg10 cuboctahedra; edges with twelve Mg(3,3)LaMg10V cuboctahedra; faces with two equivalent V(1)Mg12 cuboctahedra; faces with six Mg(2,2)La2Mg10 cuboctahedra; faces with six Mg(3,3)LaMg10V cuboctahedra; and faces with six equivalent Mg(4)Mg12 cuboctahedra. V(1) is bonded to six equivalent Mg(1) and six Mg(3,3) atoms to form VMg12 cuboctahedra that share corners with six equivalent V(1)Mg12 cuboctahedra; corners with twelve Mg(2,2)La2Mg10 cuboctahedra; edges with six equivalent Mg(1)Mg10V2 cuboctahedra; edges with twelve Mg(3,3)LaMg10V cuboctahedra; faces with two equivalent La(1)Mg12 cuboctahedra; faces with six Mg(3,3)LaMg10V cuboctahedra; faces with six equivalent Mg(1)Mg10V2 cuboctahedra; and faces with six equivalent Mg(4)Mg12 cuboctahedra. is represented by the CIF file [CIF]
data_LaMg14V
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.559
_cell_length_b   6.559
_cell_length_c   10.249
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   120.000
_symmetry_Int_Tables_number   1
_cell_volume   381.848
_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  0.625  1.0
  Mg  Mg1  1  0.166  0.833  0.125  1.0
  Mg  Mg2  1  0.178  0.839  0.625  1.0
  Mg  Mg3  1  0.667  0.334  0.125  1.0
  Mg  Mg4  1  0.661  0.322  0.625  1.0
  Mg  Mg5  1  0.667  0.833  0.125  1.0
  Mg  Mg6  1  0.661  0.839  0.625  1.0
  Mg  Mg7  1  0.334  0.166  0.364  1.0
  Mg  Mg8  1  0.334  0.166  0.886  1.0
  Mg  Mg9  1  0.334  0.668  0.364  1.0
  Mg  Mg10  1  0.334  0.668  0.886  1.0
  Mg  Mg11  1  0.832  0.166  0.364  1.0
  Mg  Mg12  1  0.832  0.166  0.886  1.0
  Mg  Mg13  1  0.833  0.667  0.381  1.0
  Mg  Mg14  1  0.833  0.667  0.869  1.0
  V  V15  1  0.167  0.333  0.125  1.0
[/CIF]
.
The material structure described by Mg14LaV crystallizes in the hexagonal P-6m2 space group. There are six inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Mg(4); four equivalent Mg(1); four Mg(3,3); and two equivalent V(1) atoms to form MgMg10V2 cuboctahedra that share corners with four equivalent La(1)Mg12 cuboctahedra; corners with six equivalent Mg(1)Mg10V2 cuboctahedra; corners with eight Mg(2,2)La2Mg10 cuboctahedra; edges with two equivalent V(1)Mg12 cuboctahedra; edges with four equivalent Mg(1)Mg10V2 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with eight Mg(3,3)LaMg10V cuboctahedra; faces with two equivalent Mg(2)La2Mg10 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent V(1)Mg12 cuboctahedra; faces with four equivalent Mg(1)Mg10V2 cuboctahedra; and faces with ten Mg(3,3)LaMg10V cuboctahedra. In the second Mg site, Mg(2) is bonded to two equivalent Mg(4); four Mg(2,2); four Mg(3,3); and two equivalent La(1) atoms to form distorted MgLa2Mg10 cuboctahedra that share corners with four equivalent V(1)Mg12 cuboctahedra; corners with six equivalent Mg(2)La2Mg10 cuboctahedra; corners with eight equivalent Mg(1)Mg10V2 cuboctahedra; edges with two equivalent La(1)Mg12 cuboctahedra; edges with four Mg(2,2)La2Mg10 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with eight Mg(3,3)LaMg10V cuboctahedra; faces with two equivalent Mg(1)Mg10V2 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent La(1)Mg12 cuboctahedra; faces with four Mg(2,2)La2Mg10 cuboctahedra; and faces with ten Mg(3,3)LaMg10V cuboctahedra. In the third Mg site, Mg(2) is bonded to two equivalent Mg(4), four equivalent Mg(2), four equivalent Mg(3), and two equivalent La(1) atoms to form distorted MgLa2Mg10 cuboctahedra that share corners with four equivalent V(1)Mg12 cuboctahedra; corners with six equivalent Mg(2)La2Mg10 cuboctahedra; corners with eight equivalent Mg(1)Mg10V2 cuboctahedra; edges with two equivalent La(1)Mg12 cuboctahedra; edges with four equivalent Mg(2)La2Mg10 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with eight equivalent Mg(3)LaMg10V cuboctahedra; faces with two equivalent Mg(1)Mg10V2 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent La(1)Mg12 cuboctahedra; faces with four equivalent Mg(2)La2Mg10 cuboctahedra; and faces with ten Mg(3,3)LaMg10V cuboctahedra. In the fourth Mg site, Mg(3) is bonded to two equivalent Mg(1); two Mg(2,2); two equivalent Mg(4); four Mg(3,3); one La(1); and one V(1) atom to form distorted MgLaMg10V cuboctahedra that share corners with four equivalent Mg(4)Mg12 cuboctahedra; corners with fourteen Mg(3,3)LaMg10V cuboctahedra; edges with two equivalent Mg(4)Mg12 cuboctahedra; edges with two equivalent La(1)Mg12 cuboctahedra; edges with two equivalent V(1)Mg12 cuboctahedra; edges with four Mg(2,2)La2Mg10 cuboctahedra; edges with four Mg(3,3)LaMg10V cuboctahedra; edges with four equivalent Mg(1)Mg10V2 cuboctahedra;  a faceface with one La(1)Mg12 cuboctahedra;  a faceface with one V(1)Mg12 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with five Mg(2,2)La2Mg10 cuboctahedra; faces with five equivalent Mg(1)Mg10V2 cuboctahedra; and faces with six Mg(3,3)LaMg10V cuboctahedra. In the fifth Mg site, Mg(3) is bonded to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(4), four equivalent Mg(3), one La(1), and one V(1) atom to form distorted MgLaMg10V cuboctahedra that share corners with four equivalent Mg(4)Mg12 cuboctahedra; corners with fourteen Mg(3,3)LaMg10V cuboctahedra; edges with two equivalent Mg(4)Mg12 cuboctahedra; edges with two equivalent La(1)Mg12 cuboctahedra; edges with two equivalent V(1)Mg12 cuboctahedra; edges with four equivalent Mg(2)La2Mg10 cuboctahedra; edges with four equivalent Mg(3)LaMg10V cuboctahedra; edges with four equivalent Mg(1)Mg10V2 cuboctahedra;  a faceface with one La(1)Mg12 cuboctahedra;  a faceface with one V(1)Mg12 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with five Mg(2,2)La2Mg10 cuboctahedra; faces with five equivalent Mg(1)Mg10V2 cuboctahedra; and faces with six Mg(3,3)LaMg10V cuboctahedra. In the sixth Mg site, Mg(4) is bonded to three equivalent Mg(1); three Mg(2,2); and six Mg(3,3) atoms to form MgMg12 cuboctahedra that share corners with six equivalent Mg(4)Mg12 cuboctahedra; corners with twelve Mg(3,3)LaMg10V cuboctahedra; edges with six Mg(2,2)La2Mg10 cuboctahedra; edges with six Mg(3,3)LaMg10V cuboctahedra; edges with six equivalent Mg(1)Mg10V2 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with three Mg(2,2)La2Mg10 cuboctahedra; faces with three equivalent Mg(1)Mg10V2 cuboctahedra; faces with three equivalent La(1)Mg12 cuboctahedra; faces with three equivalent V(1)Mg12 cuboctahedra; and faces with six Mg(3,3)LaMg10V cuboctahedra. La(1) is bonded to six Mg(2,2) and six Mg(3,3) atoms to form LaMg12 cuboctahedra that share corners with six equivalent La(1)Mg12 cuboctahedra; corners with twelve equivalent Mg(1)Mg10V2 cuboctahedra; edges with six Mg(2,2)La2Mg10 cuboctahedra; edges with twelve Mg(3,3)LaMg10V cuboctahedra; faces with two equivalent V(1)Mg12 cuboctahedra; faces with six Mg(2,2)La2Mg10 cuboctahedra; faces with six Mg(3,3)LaMg10V cuboctahedra; and faces with six equivalent Mg(4)Mg12 cuboctahedra. V(1) is bonded to six equivalent Mg(1) and six Mg(3,3) atoms to form VMg12 cuboctahedra that share corners with six equivalent V(1)Mg12 cuboctahedra; corners with twelve Mg(2,2)La2Mg10 cuboctahedra; edges with six equivalent Mg(1)Mg10V2 cuboctahedra; edges with twelve Mg(3,3)LaMg10V cuboctahedra; faces with two equivalent La(1)Mg12 cuboctahedra; faces with six Mg(3,3)LaMg10V cuboctahedra; faces with six equivalent Mg(1)Mg10V2 cuboctahedra; and faces with six equivalent Mg(4)Mg12 cuboctahedra. is represented by the CIF file [CIF]
data_LaMg14V
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.559
_cell_length_b   6.559
_cell_length_c   10.249
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   120.000
_symmetry_Int_Tables_number   1
_cell_volume   381.848
_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  0.625  1.0
  Mg  Mg1  1  0.166  0.833  0.125  1.0
  Mg  Mg2  1  0.178  0.839  0.625  1.0
  Mg  Mg3  1  0.667  0.334  0.125  1.0
  Mg  Mg4  1  0.661  0.322  0.625  1.0
  Mg  Mg5  1  0.667  0.833  0.125  1.0
  Mg  Mg6  1  0.661  0.839  0.625  1.0
  Mg  Mg7  1  0.334  0.166  0.364  1.0
  Mg  Mg8  1  0.334  0.166  0.886  1.0
  Mg  Mg9  1  0.334  0.668  0.364  1.0
  Mg  Mg10  1  0.334  0.668  0.886  1.0
  Mg  Mg11  1  0.832  0.166  0.364  1.0
  Mg  Mg12  1  0.832  0.166  0.886  1.0
  Mg  Mg13  1  0.833  0.667  0.381  1.0
  Mg  Mg14  1  0.833  0.667  0.869  1.0
  V  V15  1  0.167  0.333  0.125  1.0
[/CIF]
.