The crystal structure described by MgLa5 crystallizes in the orthorhombic Amm2 space group. Mg(1) is bonded in a distorted q6 geometry to two equivalent La(3), two equivalent La(4), two equivalent La(5), and four equivalent La(2) atoms. There are five inequivalent La sites. In the first La site, La(1) is bonded to two equivalent La(1), two equivalent La(2), two equivalent La(3), two equivalent La(5), and four equivalent La(4) atoms to form LaLa12 cuboctahedra that share corners with six equivalent La(3)La10Mg2 cuboctahedra, corners with six equivalent La(1)La12 cuboctahedra, corners with six equivalent La(2)La8Mg4 cuboctahedra, edges with three equivalent La(3)La10Mg2 cuboctahedra, edges with three equivalent La(2)La8Mg4 cuboctahedra, edges with four equivalent La(4)La10Mg2 cuboctahedra, faces with two equivalent La(3)La10Mg2 cuboctahedra, faces with two equivalent La(2)La8Mg4 cuboctahedra, faces with four equivalent La(4)La10Mg2 cuboctahedra, faces with four equivalent La(1)La12 cuboctahedra, and faces with six equivalent La(5)La10Mg2 cuboctahedra. In the second La site, La(2) is bonded to four equivalent Mg(1), two equivalent La(1), two equivalent La(2), two equivalent La(3), and two equivalent La(4) atoms to form distorted LaLa8Mg4 cuboctahedra that share corners with six equivalent La(3)La10Mg2 cuboctahedra, corners with six equivalent La(1)La12 cuboctahedra, corners with six equivalent La(2)La8Mg4 cuboctahedra, edges with three equivalent La(3)La10Mg2 cuboctahedra, edges with three equivalent La(1)La12 cuboctahedra, edges with eight equivalent La(5)La10Mg2 cuboctahedra, faces with two equivalent La(3)La10Mg2 cuboctahedra, faces with two equivalent La(5)La10Mg2 cuboctahedra, faces with two equivalent La(1)La12 cuboctahedra, faces with four equivalent La(2)La8Mg4 cuboctahedra, and faces with six equivalent La(4)La10Mg2 cuboctahedra. In the third La site, La(3) is bonded to two equivalent Mg(1), two equivalent La(1), two equivalent La(2), two equivalent La(3), and four equivalent La(5) atoms to form LaLa10Mg2 cuboctahedra that share corners with six equivalent La(3)La10Mg2 cuboctahedra, corners with six equivalent La(1)La12 cuboctahedra, corners with six equivalent La(2)La8Mg4 cuboctahedra, edges with three equivalent La(1)La12 cuboctahedra, edges with three equivalent La(2)La8Mg4 cuboctahedra, edges with four equivalent La(5)La10Mg2 cuboctahedra, edges with eight equivalent La(4)La10Mg2 cuboctahedra, faces with two equivalent La(4)La10Mg2 cuboctahedra, faces with two equivalent La(1)La12 cuboctahedra, faces with two equivalent La(2)La8Mg4 cuboctahedra, faces with four equivalent La(3)La10Mg2 cuboctahedra, and faces with four equivalent La(5)La10Mg2 cuboctahedra. In the fourth La site, La(4) is bonded to two equivalent Mg(1), two equivalent La(2), two equivalent La(4), two equivalent La(5), and four equivalent La(1) atoms to form distorted LaLa10Mg2 cuboctahedra that share corners with six equivalent La(4)La10Mg2 cuboctahedra, corners with six equivalent La(5)La10Mg2 cuboctahedra, edges with three equivalent La(5)La10Mg2 cuboctahedra, edges with four equivalent La(1)La12 cuboctahedra, edges with eight equivalent La(3)La10Mg2 cuboctahedra, faces with two equivalent La(3)La10Mg2 cuboctahedra, faces with two equivalent La(5)La10Mg2 cuboctahedra, faces with four equivalent La(4)La10Mg2 cuboctahedra, faces with four equivalent La(1)La12 cuboctahedra, and faces with six equivalent La(2)La8Mg4 cuboctahedra. In the fifth La site, La(5) is bonded to two equivalent Mg(1), two equivalent La(1), two equivalent La(4), two equivalent La(5), and four equivalent La(3) atoms to form distorted LaLa10Mg2 cuboctahedra that share corners with six equivalent La(4)La10Mg2 cuboctahedra, corners with six equivalent La(5)La10Mg2 cuboctahedra, edges with three equivalent La(4)La10Mg2 cuboctahedra, edges with four equivalent La(3)La10Mg2 cuboctahedra, edges with eight equivalent La(2)La8Mg4 cuboctahedra, faces with two equivalent La(4)La10Mg2 cuboctahedra, faces with two equivalent La(2)La8Mg4 cuboctahedra, faces with four equivalent La(3)La10Mg2 cuboctahedra, faces with four equivalent La(5)La10Mg2 cuboctahedra, and faces with six equivalent La(1)La12 cuboctahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_La5Mg
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   9.606
_cell_length_b   9.606
_cell_length_c   5.969
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   157.609
_symmetry_Int_Tables_number   1
_cell_volume   209.809
_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  0.995  0.005  0.000  1.0
  La  La1  1  0.327  0.673  0.000  1.0
  La  La2  1  0.668  0.332  0.000  1.0
  La  La3  1  0.443  0.557  0.500  1.0
  La  La4  1  0.122  0.878  0.500  1.0
  Mg  Mg5  1  0.779  0.221  0.500  1.0
[/CIF]
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The crystal structure described by MgLa5 crystallizes in the orthorhombic Amm2 space group. Mg(1) is bonded in a distorted q6 geometry to two equivalent La(3), two equivalent La(4), two equivalent La(5), and four equivalent La(2) atoms. There are five inequivalent La sites. In the first La site, La(1) is bonded to two equivalent La(1), two equivalent La(2), two equivalent La(3), two equivalent La(5), and four equivalent La(4) atoms to form LaLa12 cuboctahedra that share corners with six equivalent La(3)La10Mg2 cuboctahedra, corners with six equivalent La(1)La12 cuboctahedra, corners with six equivalent La(2)La8Mg4 cuboctahedra, edges with three equivalent La(3)La10Mg2 cuboctahedra, edges with three equivalent La(2)La8Mg4 cuboctahedra, edges with four equivalent La(4)La10Mg2 cuboctahedra, faces with two equivalent La(3)La10Mg2 cuboctahedra, faces with two equivalent La(2)La8Mg4 cuboctahedra, faces with four equivalent La(4)La10Mg2 cuboctahedra, faces with four equivalent La(1)La12 cuboctahedra, and faces with six equivalent La(5)La10Mg2 cuboctahedra. In the second La site, La(2) is bonded to four equivalent Mg(1), two equivalent La(1), two equivalent La(2), two equivalent La(3), and two equivalent La(4) atoms to form distorted LaLa8Mg4 cuboctahedra that share corners with six equivalent La(3)La10Mg2 cuboctahedra, corners with six equivalent La(1)La12 cuboctahedra, corners with six equivalent La(2)La8Mg4 cuboctahedra, edges with three equivalent La(3)La10Mg2 cuboctahedra, edges with three equivalent La(1)La12 cuboctahedra, edges with eight equivalent La(5)La10Mg2 cuboctahedra, faces with two equivalent La(3)La10Mg2 cuboctahedra, faces with two equivalent La(5)La10Mg2 cuboctahedra, faces with two equivalent La(1)La12 cuboctahedra, faces with four equivalent La(2)La8Mg4 cuboctahedra, and faces with six equivalent La(4)La10Mg2 cuboctahedra. In the third La site, La(3) is bonded to two equivalent Mg(1), two equivalent La(1), two equivalent La(2), two equivalent La(3), and four equivalent La(5) atoms to form LaLa10Mg2 cuboctahedra that share corners with six equivalent La(3)La10Mg2 cuboctahedra, corners with six equivalent La(1)La12 cuboctahedra, corners with six equivalent La(2)La8Mg4 cuboctahedra, edges with three equivalent La(1)La12 cuboctahedra, edges with three equivalent La(2)La8Mg4 cuboctahedra, edges with four equivalent La(5)La10Mg2 cuboctahedra, edges with eight equivalent La(4)La10Mg2 cuboctahedra, faces with two equivalent La(4)La10Mg2 cuboctahedra, faces with two equivalent La(1)La12 cuboctahedra, faces with two equivalent La(2)La8Mg4 cuboctahedra, faces with four equivalent La(3)La10Mg2 cuboctahedra, and faces with four equivalent La(5)La10Mg2 cuboctahedra. In the fourth La site, La(4) is bonded to two equivalent Mg(1), two equivalent La(2), two equivalent La(4), two equivalent La(5), and four equivalent La(1) atoms to form distorted LaLa10Mg2 cuboctahedra that share corners with six equivalent La(4)La10Mg2 cuboctahedra, corners with six equivalent La(5)La10Mg2 cuboctahedra, edges with three equivalent La(5)La10Mg2 cuboctahedra, edges with four equivalent La(1)La12 cuboctahedra, edges with eight equivalent La(3)La10Mg2 cuboctahedra, faces with two equivalent La(3)La10Mg2 cuboctahedra, faces with two equivalent La(5)La10Mg2 cuboctahedra, faces with four equivalent La(4)La10Mg2 cuboctahedra, faces with four equivalent La(1)La12 cuboctahedra, and faces with six equivalent La(2)La8Mg4 cuboctahedra. In the fifth La site, La(5) is bonded to two equivalent Mg(1), two equivalent La(1), two equivalent La(4), two equivalent La(5), and four equivalent La(3) atoms to form distorted LaLa10Mg2 cuboctahedra that share corners with six equivalent La(4)La10Mg2 cuboctahedra, corners with six equivalent La(5)La10Mg2 cuboctahedra, edges with three equivalent La(4)La10Mg2 cuboctahedra, edges with four equivalent La(3)La10Mg2 cuboctahedra, edges with eight equivalent La(2)La8Mg4 cuboctahedra, faces with two equivalent La(4)La10Mg2 cuboctahedra, faces with two equivalent La(2)La8Mg4 cuboctahedra, faces with four equivalent La(3)La10Mg2 cuboctahedra, faces with four equivalent La(5)La10Mg2 cuboctahedra, and faces with six equivalent La(1)La12 cuboctahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_La5Mg
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   9.606
_cell_length_b   9.606
_cell_length_c   5.969
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   157.609
_symmetry_Int_Tables_number   1
_cell_volume   209.809
_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  0.995  0.005  0.000  1.0
  La  La1  1  0.327  0.673  0.000  1.0
  La  La2  1  0.668  0.332  0.000  1.0
  La  La3  1  0.443  0.557  0.500  1.0
  La  La4  1  0.122  0.878  0.500  1.0
  Mg  Mg5  1  0.779  0.221  0.500  1.0
[/CIF]
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