The material structure described by Mg3Lu is Magnesium-derived structured and crystallizes in the hexagonal P6_3/mmc space group. There are three inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to eight Mg(1,1,1) and four equivalent Lu(1) atoms to form MgLu4Mg8 cuboctahedra that share corners with four equivalent Lu(1)Mg12 cuboctahedra; corners with fourteen Mg(1,1)Lu4Mg8 cuboctahedra; edges with six equivalent Lu(1)Mg12 cuboctahedra; edges with twelve Mg(1,1,1)Lu4Mg8 cuboctahedra; faces with four equivalent Lu(1)Mg12 cuboctahedra; and faces with sixteen Mg(1,1,1)Lu4Mg8 cuboctahedra. In the second Mg site, Mg(1) is bonded to eight equivalent Mg(1) and four equivalent Lu(1) atoms to form MgLu4Mg8 cuboctahedra that share corners with four equivalent Lu(1)Mg12 cuboctahedra; corners with fourteen Mg(1,1)Lu4Mg8 cuboctahedra; edges with six equivalent Lu(1)Mg12 cuboctahedra; edges with twelve equivalent Mg(1)Lu4Mg8 cuboctahedra; faces with four equivalent Lu(1)Mg12 cuboctahedra; and faces with sixteen Mg(1,1,1)Lu4Mg8 cuboctahedra. In the third Mg site, Mg(1) is bonded to eight equivalent Mg(1) and four equivalent Lu(1) atoms to form MgLu4Mg8 cuboctahedra that share corners with four equivalent Lu(1)Mg12 cuboctahedra; corners with fourteen Mg(1,1)Lu4Mg8 cuboctahedra; edges with six equivalent Lu(1)Mg12 cuboctahedra; edges with twelve equivalent Mg(1)Lu4Mg8 cuboctahedra; faces with four equivalent Lu(1)Mg12 cuboctahedra; and faces with sixteen Mg(1,1,1)Lu4Mg8 cuboctahedra. Lu(1) is bonded to twelve Mg(1,1,1) atoms to form LuMg12 cuboctahedra that share corners with six equivalent Lu(1)Mg12 cuboctahedra; corners with twelve Mg(1,1)Lu4Mg8 cuboctahedra; edges with eighteen Mg(1,1,1)Lu4Mg8 cuboctahedra; faces with eight equivalent Lu(1)Mg12 cuboctahedra; and faces with twelve Mg(1,1,1)Lu4Mg8 cuboctahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_LuMg3
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.553
_cell_length_b   6.553
_cell_length_c   5.170
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   120.004
_symmetry_Int_Tables_number   1
_cell_volume   192.236
_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
  Lu  Lu0  1  0.667  0.333  0.250  1.0
  Lu  Lu1  1  0.333  0.667  0.750  1.0
  Mg  Mg2  1  0.165  0.329  0.250  1.0
  Mg  Mg3  1  0.165  0.835  0.250  1.0
  Mg  Mg4  1  0.671  0.835  0.250  1.0
  Mg  Mg5  1  0.329  0.165  0.750  1.0
  Mg  Mg6  1  0.835  0.165  0.750  1.0
  Mg  Mg7  1  0.835  0.671  0.750  1.0
[/CIF]
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The material structure described by Mg3Lu is Magnesium-derived structured and crystallizes in the hexagonal P6_3/mmc space group. There are three inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to eight Mg(1,1,1) and four equivalent Lu(1) atoms to form MgLu4Mg8 cuboctahedra that share corners with four equivalent Lu(1)Mg12 cuboctahedra; corners with fourteen Mg(1,1)Lu4Mg8 cuboctahedra; edges with six equivalent Lu(1)Mg12 cuboctahedra; edges with twelve Mg(1,1,1)Lu4Mg8 cuboctahedra; faces with four equivalent Lu(1)Mg12 cuboctahedra; and faces with sixteen Mg(1,1,1)Lu4Mg8 cuboctahedra. In the second Mg site, Mg(1) is bonded to eight equivalent Mg(1) and four equivalent Lu(1) atoms to form MgLu4Mg8 cuboctahedra that share corners with four equivalent Lu(1)Mg12 cuboctahedra; corners with fourteen Mg(1,1)Lu4Mg8 cuboctahedra; edges with six equivalent Lu(1)Mg12 cuboctahedra; edges with twelve equivalent Mg(1)Lu4Mg8 cuboctahedra; faces with four equivalent Lu(1)Mg12 cuboctahedra; and faces with sixteen Mg(1,1,1)Lu4Mg8 cuboctahedra. In the third Mg site, Mg(1) is bonded to eight equivalent Mg(1) and four equivalent Lu(1) atoms to form MgLu4Mg8 cuboctahedra that share corners with four equivalent Lu(1)Mg12 cuboctahedra; corners with fourteen Mg(1,1)Lu4Mg8 cuboctahedra; edges with six equivalent Lu(1)Mg12 cuboctahedra; edges with twelve equivalent Mg(1)Lu4Mg8 cuboctahedra; faces with four equivalent Lu(1)Mg12 cuboctahedra; and faces with sixteen Mg(1,1,1)Lu4Mg8 cuboctahedra. Lu(1) is bonded to twelve Mg(1,1,1) atoms to form LuMg12 cuboctahedra that share corners with six equivalent Lu(1)Mg12 cuboctahedra; corners with twelve Mg(1,1)Lu4Mg8 cuboctahedra; edges with eighteen Mg(1,1,1)Lu4Mg8 cuboctahedra; faces with eight equivalent Lu(1)Mg12 cuboctahedra; and faces with twelve Mg(1,1,1)Lu4Mg8 cuboctahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_LuMg3
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.553
_cell_length_b   6.553
_cell_length_c   5.170
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   120.004
_symmetry_Int_Tables_number   1
_cell_volume   192.236
_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
  Lu  Lu0  1  0.667  0.333  0.250  1.0
  Lu  Lu1  1  0.333  0.667  0.750  1.0
  Mg  Mg2  1  0.165  0.329  0.250  1.0
  Mg  Mg3  1  0.165  0.835  0.250  1.0
  Mg  Mg4  1  0.671  0.835  0.250  1.0
  Mg  Mg5  1  0.329  0.165  0.750  1.0
  Mg  Mg6  1  0.835  0.165  0.750  1.0
  Mg  Mg7  1  0.835  0.671  0.750  1.0
[/CIF]
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