The material structure described by Mg13Ir3 crystallizes in the trigonal R-3c space group. There are four inequivalent Mg sites. In the first Mg site, Mg(1) is bonded in a linear geometry to two equivalent Ir(1) atoms. In the second Mg site, Mg(2) is bonded in a bent 150 degrees geometry to two equivalent Ir(1) atoms. In the third Mg site, Mg(3) is bonded in a trigonal planar geometry to three equivalent Ir(1) atoms. In the fourth Mg site, Mg(4) is bonded in a 2-coordinate geometry to two equivalent Ir(1) atoms. Ir(1) is bonded in a 9-coordinate geometry to one Mg(3), two equivalent Mg(1), two equivalent Mg(2), and four equivalent Mg(4) atoms. is represented by the Crystallographic Information File (CIF) [CIF]
data_Mg13Ir3
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   9.639
_cell_length_b   9.639
_cell_length_c   9.639
_cell_angle_alpha   111.914
_cell_angle_beta   111.914
_cell_angle_gamma   111.914
_symmetry_Int_Tables_number   1
_cell_volume   619.352
_cell_formula_units_Z   2
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
  Mg  Mg0  1  0.000  0.500  0.000  1.0
  Mg  Mg1  1  0.500  0.000  0.000  1.0
  Mg  Mg2  1  0.000  0.000  0.500  1.0
  Mg  Mg3  1  0.500  0.000  0.500  1.0
  Mg  Mg4  1  0.000  0.500  0.500  1.0
  Mg  Mg5  1  0.500  0.500  0.000  1.0
  Mg  Mg6  1  0.881  0.619  0.250  1.0
  Mg  Mg7  1  0.250  0.881  0.619  1.0
  Mg  Mg8  1  0.619  0.250  0.881  1.0
  Mg  Mg9  1  0.119  0.381  0.750  1.0
  Mg  Mg10  1  0.750  0.119  0.381  1.0
  Mg  Mg11  1  0.381  0.750  0.119  1.0
  Mg  Mg12  1  0.250  0.250  0.250  1.0
  Mg  Mg13  1  0.750  0.750  0.750  1.0
  Mg  Mg14  1  0.403  0.610  0.722  1.0
  Mg  Mg15  1  0.722  0.403  0.610  1.0
  Mg  Mg16  1  0.610  0.722  0.403  1.0
  Mg  Mg17  1  0.890  0.097  0.778  1.0
  Mg  Mg18  1  0.778  0.890  0.097  1.0
  Mg  Mg19  1  0.097  0.778  0.890  1.0
  Mg  Mg20  1  0.597  0.390  0.278  1.0
  Mg  Mg21  1  0.278  0.597  0.390  1.0
  Mg  Mg22  1  0.390  0.278  0.597  1.0
  Mg  Mg23  1  0.110  0.903  0.222  1.0
  Mg  Mg24  1  0.222  0.110  0.903  1.0
  Mg  Mg25  1  0.903  0.222  0.110  1.0
  Ir  Ir26  1  0.922  0.750  0.578  1.0
  Ir  Ir27  1  0.750  0.578  0.922  1.0
  Ir  Ir28  1  0.578  0.922  0.750  1.0
  Ir  Ir29  1  0.078  0.250  0.422  1.0
  Ir  Ir30  1  0.250  0.422  0.078  1.0
  Ir  Ir31  1  0.422  0.078  0.250  1.0
[/CIF]
.
The material structure described by Mg13Ir3 crystallizes in the trigonal R-3c space group. There are four inequivalent Mg sites. In the first Mg site, Mg(1) is bonded in a linear geometry to two equivalent Ir(1) atoms. In the second Mg site, Mg(2) is bonded in a bent 150 degrees geometry to two equivalent Ir(1) atoms. In the third Mg site, Mg(3) is bonded in a trigonal planar geometry to three equivalent Ir(1) atoms. In the fourth Mg site, Mg(4) is bonded in a 2-coordinate geometry to two equivalent Ir(1) atoms. Ir(1) is bonded in a 9-coordinate geometry to one Mg(3), two equivalent Mg(1), two equivalent Mg(2), and four equivalent Mg(4) atoms. is represented by the Crystallographic Information File (CIF) [CIF]
data_Mg13Ir3
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   9.639
_cell_length_b   9.639
_cell_length_c   9.639
_cell_angle_alpha   111.914
_cell_angle_beta   111.914
_cell_angle_gamma   111.914
_symmetry_Int_Tables_number   1
_cell_volume   619.352
_cell_formula_units_Z   2
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
  Mg  Mg0  1  0.000  0.500  0.000  1.0
  Mg  Mg1  1  0.500  0.000  0.000  1.0
  Mg  Mg2  1  0.000  0.000  0.500  1.0
  Mg  Mg3  1  0.500  0.000  0.500  1.0
  Mg  Mg4  1  0.000  0.500  0.500  1.0
  Mg  Mg5  1  0.500  0.500  0.000  1.0
  Mg  Mg6  1  0.881  0.619  0.250  1.0
  Mg  Mg7  1  0.250  0.881  0.619  1.0
  Mg  Mg8  1  0.619  0.250  0.881  1.0
  Mg  Mg9  1  0.119  0.381  0.750  1.0
  Mg  Mg10  1  0.750  0.119  0.381  1.0
  Mg  Mg11  1  0.381  0.750  0.119  1.0
  Mg  Mg12  1  0.250  0.250  0.250  1.0
  Mg  Mg13  1  0.750  0.750  0.750  1.0
  Mg  Mg14  1  0.403  0.610  0.722  1.0
  Mg  Mg15  1  0.722  0.403  0.610  1.0
  Mg  Mg16  1  0.610  0.722  0.403  1.0
  Mg  Mg17  1  0.890  0.097  0.778  1.0
  Mg  Mg18  1  0.778  0.890  0.097  1.0
  Mg  Mg19  1  0.097  0.778  0.890  1.0
  Mg  Mg20  1  0.597  0.390  0.278  1.0
  Mg  Mg21  1  0.278  0.597  0.390  1.0
  Mg  Mg22  1  0.390  0.278  0.597  1.0
  Mg  Mg23  1  0.110  0.903  0.222  1.0
  Mg  Mg24  1  0.222  0.110  0.903  1.0
  Mg  Mg25  1  0.903  0.222  0.110  1.0
  Ir  Ir26  1  0.922  0.750  0.578  1.0
  Ir  Ir27  1  0.750  0.578  0.922  1.0
  Ir  Ir28  1  0.578  0.922  0.750  1.0
  Ir  Ir29  1  0.078  0.250  0.422  1.0
  Ir  Ir30  1  0.250  0.422  0.078  1.0
  Ir  Ir31  1  0.422  0.078  0.250  1.0
[/CIF]
.