The material described by Mg14LaCr crystallizes in the hexagonal P-6m2 space group. There are five inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Mg(4); four Mg(1,1); four equivalent Mg(3); and two equivalent La(1) atoms to form distorted MgLa2Mg10 cuboctahedra that share corners with four equivalent Cr(1)Mg12 cuboctahedra; corners with six equivalent Mg(1)La2Mg10 cuboctahedra; corners with eight equivalent Mg(2)Mg10Cr2 cuboctahedra; edges with two equivalent La(1)Mg12 cuboctahedra; edges with four Mg(1,1)La2Mg10 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with eight equivalent Mg(3)LaMg10Cr cuboctahedra; faces with two equivalent Mg(2)Mg10Cr2 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent La(1)Mg12 cuboctahedra; faces with four Mg(1,1)La2Mg10 cuboctahedra; and faces with ten equivalent Mg(3)LaMg10Cr cuboctahedra. In the second Mg site, Mg(2) is bonded to two equivalent Mg(4), four equivalent Mg(2), four equivalent Mg(3), and two equivalent Cr(1) atoms to form MgMg10Cr2 cuboctahedra that share corners with four equivalent La(1)Mg12 cuboctahedra; corners with six equivalent Mg(2)Mg10Cr2 cuboctahedra; corners with eight Mg(1,1)La2Mg10 cuboctahedra; edges with two equivalent Cr(1)Mg12 cuboctahedra; edges with four equivalent Mg(2)Mg10Cr2 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with eight equivalent Mg(3)LaMg10Cr cuboctahedra; faces with two equivalent Mg(1)La2Mg10 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Cr(1)Mg12 cuboctahedra; faces with four equivalent Mg(2)Mg10Cr2 cuboctahedra; and faces with ten equivalent Mg(3)LaMg10Cr cuboctahedra. In the third Mg site, Mg(1) is bonded to two equivalent Mg(4), four equivalent Mg(1), four equivalent Mg(3), and two equivalent La(1) atoms to form distorted MgLa2Mg10 cuboctahedra that share corners with four equivalent Cr(1)Mg12 cuboctahedra, corners with six equivalent Mg(1)La2Mg10 cuboctahedra, corners with eight equivalent Mg(2)Mg10Cr2 cuboctahedra, edges with two equivalent La(1)Mg12 cuboctahedra, edges with four equivalent Mg(1)La2Mg10 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with eight equivalent Mg(3)LaMg10Cr cuboctahedra, faces with two equivalent Mg(2)Mg10Cr2 cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent La(1)Mg12 cuboctahedra, faces with four equivalent Mg(1)La2Mg10 cuboctahedra, and faces with ten equivalent Mg(3)LaMg10Cr cuboctahedra. In the fourth Mg site, Mg(3) is bonded to two Mg(1,1); two equivalent Mg(2); two equivalent Mg(4); four equivalent Mg(3); one La(1); and one Cr(1) atom to form distorted MgLaMg10Cr cuboctahedra that share corners with four equivalent Mg(4)Mg12 cuboctahedra; corners with fourteen equivalent Mg(3)LaMg10Cr cuboctahedra; edges with two equivalent Mg(4)Mg12 cuboctahedra; edges with two equivalent La(1)Mg12 cuboctahedra; edges with two equivalent Cr(1)Mg12 cuboctahedra; edges with four Mg(1,1)La2Mg10 cuboctahedra; edges with four equivalent Mg(3)LaMg10Cr cuboctahedra; edges with four equivalent Mg(2)Mg10Cr2 cuboctahedra;  a faceface with one La(1)Mg12 cuboctahedra;  a faceface with one Cr(1)Mg12 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with five Mg(1,1)La2Mg10 cuboctahedra; faces with five equivalent Mg(2)Mg10Cr2 cuboctahedra; and faces with six equivalent Mg(3)LaMg10Cr cuboctahedra. In the fifth Mg site, Mg(4) is bonded to three Mg(1,1); three equivalent Mg(2); and six equivalent Mg(3) atoms to form MgMg12 cuboctahedra that share corners with six equivalent Mg(4)Mg12 cuboctahedra; corners with twelve equivalent Mg(3)LaMg10Cr cuboctahedra; edges with six Mg(1,1)La2Mg10 cuboctahedra; edges with six equivalent Mg(3)LaMg10Cr cuboctahedra; edges with six equivalent Mg(2)Mg10Cr2 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with three Mg(1,1)La2Mg10 cuboctahedra; faces with three equivalent Mg(2)Mg10Cr2 cuboctahedra; faces with three equivalent La(1)Mg12 cuboctahedra; faces with three equivalent Cr(1)Mg12 cuboctahedra; and faces with six equivalent Mg(3)LaMg10Cr cuboctahedra. La(1) is bonded to six Mg(1,1) and six equivalent Mg(3) atoms to form LaMg12 cuboctahedra that share corners with six equivalent La(1)Mg12 cuboctahedra; corners with twelve equivalent Mg(2)Mg10Cr2 cuboctahedra; edges with six Mg(1,1)La2Mg10 cuboctahedra; edges with twelve equivalent Mg(3)LaMg10Cr cuboctahedra; faces with two equivalent Cr(1)Mg12 cuboctahedra; faces with six Mg(1,1)La2Mg10 cuboctahedra; faces with six equivalent Mg(3)LaMg10Cr cuboctahedra; and faces with six equivalent Mg(4)Mg12 cuboctahedra. Cr(1) is bonded to six equivalent Mg(2) and six equivalent Mg(3) atoms to form CrMg12 cuboctahedra that share corners with six equivalent Cr(1)Mg12 cuboctahedra; corners with twelve Mg(1,1)La2Mg10 cuboctahedra; edges with six equivalent Mg(2)Mg10Cr2 cuboctahedra; edges with twelve equivalent Mg(3)LaMg10Cr cuboctahedra; faces with two equivalent La(1)Mg12 cuboctahedra; faces with six equivalent Mg(3)LaMg10Cr cuboctahedra; faces with six equivalent Mg(2)Mg10Cr2 cuboctahedra; and faces with six equivalent Mg(4)Mg12 cuboctahedra. is represented by the CIF file [CIF]
data_LaMg14Cr
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.556
_cell_length_b   6.556
_cell_length_c   10.317
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   120.000
_symmetry_Int_Tables_number   1
_cell_volume   383.996
_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
  Mg  Mg1  1  0.178  0.839  0.125  1.0
  Mg  Mg2  1  0.166  0.833  0.625  1.0
  Mg  Mg3  1  0.661  0.322  0.125  1.0
  Mg  Mg4  1  0.667  0.334  0.625  1.0
  Mg  Mg5  1  0.661  0.839  0.125  1.0
  Mg  Mg6  1  0.667  0.833  0.625  1.0
  Mg  Mg7  1  0.334  0.166  0.385  1.0
  Mg  Mg8  1  0.334  0.166  0.865  1.0
  Mg  Mg9  1  0.334  0.667  0.385  1.0
  Mg  Mg10  1  0.334  0.667  0.865  1.0
  Mg  Mg11  1  0.833  0.166  0.385  1.0
  Mg  Mg12  1  0.833  0.166  0.865  1.0
  Mg  Mg13  1  0.833  0.667  0.369  1.0
  Mg  Mg14  1  0.833  0.667  0.881  1.0
  Cr  Cr15  1  0.167  0.333  0.625  1.0
[/CIF]
.
The material described by Mg14LaCr crystallizes in the hexagonal P-6m2 space group. There are five inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Mg(4); four Mg(1,1); four equivalent Mg(3); and two equivalent La(1) atoms to form distorted MgLa2Mg10 cuboctahedra that share corners with four equivalent Cr(1)Mg12 cuboctahedra; corners with six equivalent Mg(1)La2Mg10 cuboctahedra; corners with eight equivalent Mg(2)Mg10Cr2 cuboctahedra; edges with two equivalent La(1)Mg12 cuboctahedra; edges with four Mg(1,1)La2Mg10 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with eight equivalent Mg(3)LaMg10Cr cuboctahedra; faces with two equivalent Mg(2)Mg10Cr2 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent La(1)Mg12 cuboctahedra; faces with four Mg(1,1)La2Mg10 cuboctahedra; and faces with ten equivalent Mg(3)LaMg10Cr cuboctahedra. In the second Mg site, Mg(2) is bonded to two equivalent Mg(4), four equivalent Mg(2), four equivalent Mg(3), and two equivalent Cr(1) atoms to form MgMg10Cr2 cuboctahedra that share corners with four equivalent La(1)Mg12 cuboctahedra; corners with six equivalent Mg(2)Mg10Cr2 cuboctahedra; corners with eight Mg(1,1)La2Mg10 cuboctahedra; edges with two equivalent Cr(1)Mg12 cuboctahedra; edges with four equivalent Mg(2)Mg10Cr2 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with eight equivalent Mg(3)LaMg10Cr cuboctahedra; faces with two equivalent Mg(1)La2Mg10 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Cr(1)Mg12 cuboctahedra; faces with four equivalent Mg(2)Mg10Cr2 cuboctahedra; and faces with ten equivalent Mg(3)LaMg10Cr cuboctahedra. In the third Mg site, Mg(1) is bonded to two equivalent Mg(4), four equivalent Mg(1), four equivalent Mg(3), and two equivalent La(1) atoms to form distorted MgLa2Mg10 cuboctahedra that share corners with four equivalent Cr(1)Mg12 cuboctahedra, corners with six equivalent Mg(1)La2Mg10 cuboctahedra, corners with eight equivalent Mg(2)Mg10Cr2 cuboctahedra, edges with two equivalent La(1)Mg12 cuboctahedra, edges with four equivalent Mg(1)La2Mg10 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with eight equivalent Mg(3)LaMg10Cr cuboctahedra, faces with two equivalent Mg(2)Mg10Cr2 cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent La(1)Mg12 cuboctahedra, faces with four equivalent Mg(1)La2Mg10 cuboctahedra, and faces with ten equivalent Mg(3)LaMg10Cr cuboctahedra. In the fourth Mg site, Mg(3) is bonded to two Mg(1,1); two equivalent Mg(2); two equivalent Mg(4); four equivalent Mg(3); one La(1); and one Cr(1) atom to form distorted MgLaMg10Cr cuboctahedra that share corners with four equivalent Mg(4)Mg12 cuboctahedra; corners with fourteen equivalent Mg(3)LaMg10Cr cuboctahedra; edges with two equivalent Mg(4)Mg12 cuboctahedra; edges with two equivalent La(1)Mg12 cuboctahedra; edges with two equivalent Cr(1)Mg12 cuboctahedra; edges with four Mg(1,1)La2Mg10 cuboctahedra; edges with four equivalent Mg(3)LaMg10Cr cuboctahedra; edges with four equivalent Mg(2)Mg10Cr2 cuboctahedra;  a faceface with one La(1)Mg12 cuboctahedra;  a faceface with one Cr(1)Mg12 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with five Mg(1,1)La2Mg10 cuboctahedra; faces with five equivalent Mg(2)Mg10Cr2 cuboctahedra; and faces with six equivalent Mg(3)LaMg10Cr cuboctahedra. In the fifth Mg site, Mg(4) is bonded to three Mg(1,1); three equivalent Mg(2); and six equivalent Mg(3) atoms to form MgMg12 cuboctahedra that share corners with six equivalent Mg(4)Mg12 cuboctahedra; corners with twelve equivalent Mg(3)LaMg10Cr cuboctahedra; edges with six Mg(1,1)La2Mg10 cuboctahedra; edges with six equivalent Mg(3)LaMg10Cr cuboctahedra; edges with six equivalent Mg(2)Mg10Cr2 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with three Mg(1,1)La2Mg10 cuboctahedra; faces with three equivalent Mg(2)Mg10Cr2 cuboctahedra; faces with three equivalent La(1)Mg12 cuboctahedra; faces with three equivalent Cr(1)Mg12 cuboctahedra; and faces with six equivalent Mg(3)LaMg10Cr cuboctahedra. La(1) is bonded to six Mg(1,1) and six equivalent Mg(3) atoms to form LaMg12 cuboctahedra that share corners with six equivalent La(1)Mg12 cuboctahedra; corners with twelve equivalent Mg(2)Mg10Cr2 cuboctahedra; edges with six Mg(1,1)La2Mg10 cuboctahedra; edges with twelve equivalent Mg(3)LaMg10Cr cuboctahedra; faces with two equivalent Cr(1)Mg12 cuboctahedra; faces with six Mg(1,1)La2Mg10 cuboctahedra; faces with six equivalent Mg(3)LaMg10Cr cuboctahedra; and faces with six equivalent Mg(4)Mg12 cuboctahedra. Cr(1) is bonded to six equivalent Mg(2) and six equivalent Mg(3) atoms to form CrMg12 cuboctahedra that share corners with six equivalent Cr(1)Mg12 cuboctahedra; corners with twelve Mg(1,1)La2Mg10 cuboctahedra; edges with six equivalent Mg(2)Mg10Cr2 cuboctahedra; edges with twelve equivalent Mg(3)LaMg10Cr cuboctahedra; faces with two equivalent La(1)Mg12 cuboctahedra; faces with six equivalent Mg(3)LaMg10Cr cuboctahedra; faces with six equivalent Mg(2)Mg10Cr2 cuboctahedra; and faces with six equivalent Mg(4)Mg12 cuboctahedra. is represented by the CIF file [CIF]
data_LaMg14Cr
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.556
_cell_length_b   6.556
_cell_length_c   10.317
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   120.000
_symmetry_Int_Tables_number   1
_cell_volume   383.996
_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
  Mg  Mg1  1  0.178  0.839  0.125  1.0
  Mg  Mg2  1  0.166  0.833  0.625  1.0
  Mg  Mg3  1  0.661  0.322  0.125  1.0
  Mg  Mg4  1  0.667  0.334  0.625  1.0
  Mg  Mg5  1  0.661  0.839  0.125  1.0
  Mg  Mg6  1  0.667  0.833  0.625  1.0
  Mg  Mg7  1  0.334  0.166  0.385  1.0
  Mg  Mg8  1  0.334  0.166  0.865  1.0
  Mg  Mg9  1  0.334  0.667  0.385  1.0
  Mg  Mg10  1  0.334  0.667  0.865  1.0
  Mg  Mg11  1  0.833  0.166  0.385  1.0
  Mg  Mg12  1  0.833  0.166  0.865  1.0
  Mg  Mg13  1  0.833  0.667  0.369  1.0
  Mg  Mg14  1  0.833  0.667  0.881  1.0
  Cr  Cr15  1  0.167  0.333  0.625  1.0
[/CIF]
.