The crystal structure described by Mg6LaGa crystallizes in the orthorhombic Amm2 space group. There are four inequivalent Mg sites. In the first Mg site, Mg(1) is bonded in a 12-coordinate geometry to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), two equivalent La(1), and two equivalent Ga(1) atoms. In the second Mg site, Mg(2) 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 La(1)Mg10Ga2 cuboctahedra, corners with six equivalent Mg(2)La2Mg10 cuboctahedra, edges with two equivalent La(1)Mg10Ga2 cuboctahedra, edges with four equivalent Mg(4)Mg10Ga2 cuboctahedra, faces with two equivalent Mg(2)La2Mg10 cuboctahedra, faces with two equivalent Mg(4)Mg10Ga2 cuboctahedra, and faces with two equivalent La(1)Mg10Ga2 cuboctahedra. In the third Mg site, Mg(3) is bonded in a 10-coordinate geometry to one Mg(3), two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(4), two equivalent La(1), and one Ga(1) atom. In the fourth Mg site, Mg(4) is bonded to two equivalent Mg(2), four equivalent Mg(1), four equivalent Mg(3), and two equivalent Ga(1) atoms to form distorted MgMg10Ga2 cuboctahedra that share corners with six equivalent Mg(4)Mg10Ga2 cuboctahedra, edges with four equivalent Mg(2)La2Mg10 cuboctahedra, faces with two equivalent Mg(2)La2Mg10 cuboctahedra, faces with two equivalent Mg(4)Mg10Ga2 cuboctahedra, and faces with six equivalent La(1)Mg10Ga2 cuboctahedra. La(1) is bonded to two equivalent Mg(2), four equivalent Mg(1), four equivalent Mg(3), and two equivalent Ga(1) atoms to form distorted LaMg10Ga2 cuboctahedra that share corners with four equivalent Mg(2)La2Mg10 cuboctahedra, corners with six equivalent La(1)Mg10Ga2 cuboctahedra, edges with two equivalent Mg(2)La2Mg10 cuboctahedra, faces with two equivalent Mg(2)La2Mg10 cuboctahedra, faces with two equivalent La(1)Mg10Ga2 cuboctahedra, and faces with six equivalent Mg(4)Mg10Ga2 cuboctahedra. Ga(1) is bonded in a 8-coordinate geometry to two equivalent Mg(3), two equivalent Mg(4), four equivalent Mg(1), and two equivalent La(1) atoms. is represented by the Crystallographic Information File (CIF) [CIF]
data_LaMg6Ga
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.713
_cell_length_b   6.713
_cell_length_c   5.065
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   119.924
_symmetry_Int_Tables_number   1
_cell_volume   197.866
_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  0.177  0.323  0.250  1.0
  Mg  Mg1  1  0.180  0.838  0.250  1.0
  Mg  Mg2  1  0.662  0.320  0.250  1.0
  Mg  Mg3  1  0.663  0.837  0.250  1.0
  Mg  Mg4  1  0.342  0.690  0.750  1.0
  Mg  Mg5  1  0.810  0.158  0.750  1.0
  Mg  Mg6  1  0.832  0.668  0.750  1.0
  Ga  Ga7  1  0.333  0.167  0.750  1.0
[/CIF]
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The crystal structure described by Mg6LaGa crystallizes in the orthorhombic Amm2 space group. There are four inequivalent Mg sites. In the first Mg site, Mg(1) is bonded in a 12-coordinate geometry to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), two equivalent La(1), and two equivalent Ga(1) atoms. In the second Mg site, Mg(2) 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 La(1)Mg10Ga2 cuboctahedra, corners with six equivalent Mg(2)La2Mg10 cuboctahedra, edges with two equivalent La(1)Mg10Ga2 cuboctahedra, edges with four equivalent Mg(4)Mg10Ga2 cuboctahedra, faces with two equivalent Mg(2)La2Mg10 cuboctahedra, faces with two equivalent Mg(4)Mg10Ga2 cuboctahedra, and faces with two equivalent La(1)Mg10Ga2 cuboctahedra. In the third Mg site, Mg(3) is bonded in a 10-coordinate geometry to one Mg(3), two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(4), two equivalent La(1), and one Ga(1) atom. In the fourth Mg site, Mg(4) is bonded to two equivalent Mg(2), four equivalent Mg(1), four equivalent Mg(3), and two equivalent Ga(1) atoms to form distorted MgMg10Ga2 cuboctahedra that share corners with six equivalent Mg(4)Mg10Ga2 cuboctahedra, edges with four equivalent Mg(2)La2Mg10 cuboctahedra, faces with two equivalent Mg(2)La2Mg10 cuboctahedra, faces with two equivalent Mg(4)Mg10Ga2 cuboctahedra, and faces with six equivalent La(1)Mg10Ga2 cuboctahedra. La(1) is bonded to two equivalent Mg(2), four equivalent Mg(1), four equivalent Mg(3), and two equivalent Ga(1) atoms to form distorted LaMg10Ga2 cuboctahedra that share corners with four equivalent Mg(2)La2Mg10 cuboctahedra, corners with six equivalent La(1)Mg10Ga2 cuboctahedra, edges with two equivalent Mg(2)La2Mg10 cuboctahedra, faces with two equivalent Mg(2)La2Mg10 cuboctahedra, faces with two equivalent La(1)Mg10Ga2 cuboctahedra, and faces with six equivalent Mg(4)Mg10Ga2 cuboctahedra. Ga(1) is bonded in a 8-coordinate geometry to two equivalent Mg(3), two equivalent Mg(4), four equivalent Mg(1), and two equivalent La(1) atoms. is represented by the Crystallographic Information File (CIF) [CIF]
data_LaMg6Ga
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.713
_cell_length_b   6.713
_cell_length_c   5.065
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   119.924
_symmetry_Int_Tables_number   1
_cell_volume   197.866
_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  0.177  0.323  0.250  1.0
  Mg  Mg1  1  0.180  0.838  0.250  1.0
  Mg  Mg2  1  0.662  0.320  0.250  1.0
  Mg  Mg3  1  0.663  0.837  0.250  1.0
  Mg  Mg4  1  0.342  0.690  0.750  1.0
  Mg  Mg5  1  0.810  0.158  0.750  1.0
  Mg  Mg6  1  0.832  0.668  0.750  1.0
  Ga  Ga7  1  0.333  0.167  0.750  1.0
[/CIF]
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