The structure described by Mg5Pb crystallizes in the orthorhombic Amm2 space group. There are five inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(5), and four equivalent Mg(4) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Mg(3)Mg2Pb2 cuboctahedra, corners with four equivalent Mg(5)Mg2Pb2 cuboctahedra, corners with four equivalent Mg(2)Mg2Pb4 cuboctahedra, corners with six equivalent Mg(1)Mg12 cuboctahedra, corners with eight equivalent Mg(4)Mg4Pb2 cuboctahedra, edges with eight equivalent Pb(1)Mg10 cuboctahedra, faces with two equivalent Pb(1)Mg10 cuboctahedra, and faces with four equivalent Mg(1)Mg12 cuboctahedra. In the second Mg site, Mg(2) is bonded to two equivalent Mg(1) and four equivalent Pb(1) atoms to form distorted MgMg2Pb4 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra, corners with four equivalent Mg(2)Mg2Pb4 cuboctahedra, corners with six equivalent Mg(3)Mg2Pb2 cuboctahedra, corners with eight equivalent Mg(5)Mg2Pb2 cuboctahedra, edges with two equivalent Mg(5)Mg2Pb2 cuboctahedra, edges with two equivalent Mg(2)Mg2Pb4 cuboctahedra, edges with three equivalent Mg(3)Mg2Pb2 cuboctahedra, edges with four equivalent Mg(4)Mg4Pb2 cuboctahedra, faces with two equivalent Mg(2)Mg2Pb4 cuboctahedra, and faces with two equivalent Mg(4)Mg4Pb2 cuboctahedra. In the third Mg site, Mg(3) is bonded to two equivalent Mg(1) and two equivalent Pb(1) atoms to form distorted MgMg2Pb2 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra, corners with four equivalent Mg(3)Mg2Pb2 cuboctahedra, corners with six equivalent Mg(2)Mg2Pb4 cuboctahedra, corners with eight equivalent Mg(4)Mg4Pb2 cuboctahedra, edges with two equivalent Mg(4)Mg4Pb2 cuboctahedra, edges with three equivalent Mg(2)Mg2Pb4 cuboctahedra, and edges with four equivalent Mg(5)Mg2Pb2 cuboctahedra. In the fourth Mg site, Mg(4) is bonded to four equivalent Mg(1) and two equivalent Pb(1) atoms to form distorted MgMg4Pb2 cuboctahedra that share corners with four equivalent Mg(4)Mg4Pb2 cuboctahedra, corners with six equivalent Mg(5)Mg2Pb2 cuboctahedra, corners with eight equivalent Mg(1)Mg12 cuboctahedra, corners with eight equivalent Mg(3)Mg2Pb2 cuboctahedra, edges with two equivalent Mg(3)Mg2Pb2 cuboctahedra, edges with two equivalent Mg(4)Mg4Pb2 cuboctahedra, edges with three equivalent Mg(5)Mg2Pb2 cuboctahedra, edges with four equivalent Mg(2)Mg2Pb4 cuboctahedra, faces with two equivalent Mg(2)Mg2Pb4 cuboctahedra, and faces with two equivalent Mg(4)Mg4Pb2 cuboctahedra. In the fifth Mg site, Mg(5) is bonded to two equivalent Mg(1) and two equivalent Pb(1) atoms to form distorted MgMg2Pb2 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra, corners with four equivalent Mg(5)Mg2Pb2 cuboctahedra, corners with six equivalent Mg(4)Mg4Pb2 cuboctahedra, corners with eight equivalent Mg(2)Mg2Pb4 cuboctahedra, edges with two equivalent Mg(2)Mg2Pb4 cuboctahedra, edges with three equivalent Mg(4)Mg4Pb2 cuboctahedra, and edges with four equivalent Mg(3)Mg2Pb2 cuboctahedra. Pb(1) is bonded to two equivalent Mg(3), two equivalent Mg(4), two equivalent Mg(5), and four equivalent Mg(2) atoms to form distorted PbMg10 cuboctahedra that share corners with four equivalent Pb(1)Mg10 cuboctahedra, edges with eight equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, and faces with four equivalent Pb(1)Mg10 cuboctahedra. is represented by the CIF card [CIF]
data_Mg5Pb
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.408
_cell_length_b   8.408
_cell_length_c   5.274
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   157.747
_symmetry_Int_Tables_number   1
_cell_volume   141.195
_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
  Mg  Mg0  1  0.000  1.000  0.000  1.0
  Mg  Mg1  1  0.334  0.666  0.000  1.0
  Mg  Mg2  1  0.663  0.337  0.000  1.0
  Mg  Mg3  1  0.448  0.552  0.500  1.0
  Mg  Mg4  1  0.111  0.889  0.500  1.0
  Pb  Pb5  1  0.777  0.223  0.500  1.0
[/CIF]
.
The structure described by Mg5Pb crystallizes in the orthorhombic Amm2 space group. There are five inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(5), and four equivalent Mg(4) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Mg(3)Mg2Pb2 cuboctahedra, corners with four equivalent Mg(5)Mg2Pb2 cuboctahedra, corners with four equivalent Mg(2)Mg2Pb4 cuboctahedra, corners with six equivalent Mg(1)Mg12 cuboctahedra, corners with eight equivalent Mg(4)Mg4Pb2 cuboctahedra, edges with eight equivalent Pb(1)Mg10 cuboctahedra, faces with two equivalent Pb(1)Mg10 cuboctahedra, and faces with four equivalent Mg(1)Mg12 cuboctahedra. In the second Mg site, Mg(2) is bonded to two equivalent Mg(1) and four equivalent Pb(1) atoms to form distorted MgMg2Pb4 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra, corners with four equivalent Mg(2)Mg2Pb4 cuboctahedra, corners with six equivalent Mg(3)Mg2Pb2 cuboctahedra, corners with eight equivalent Mg(5)Mg2Pb2 cuboctahedra, edges with two equivalent Mg(5)Mg2Pb2 cuboctahedra, edges with two equivalent Mg(2)Mg2Pb4 cuboctahedra, edges with three equivalent Mg(3)Mg2Pb2 cuboctahedra, edges with four equivalent Mg(4)Mg4Pb2 cuboctahedra, faces with two equivalent Mg(2)Mg2Pb4 cuboctahedra, and faces with two equivalent Mg(4)Mg4Pb2 cuboctahedra. In the third Mg site, Mg(3) is bonded to two equivalent Mg(1) and two equivalent Pb(1) atoms to form distorted MgMg2Pb2 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra, corners with four equivalent Mg(3)Mg2Pb2 cuboctahedra, corners with six equivalent Mg(2)Mg2Pb4 cuboctahedra, corners with eight equivalent Mg(4)Mg4Pb2 cuboctahedra, edges with two equivalent Mg(4)Mg4Pb2 cuboctahedra, edges with three equivalent Mg(2)Mg2Pb4 cuboctahedra, and edges with four equivalent Mg(5)Mg2Pb2 cuboctahedra. In the fourth Mg site, Mg(4) is bonded to four equivalent Mg(1) and two equivalent Pb(1) atoms to form distorted MgMg4Pb2 cuboctahedra that share corners with four equivalent Mg(4)Mg4Pb2 cuboctahedra, corners with six equivalent Mg(5)Mg2Pb2 cuboctahedra, corners with eight equivalent Mg(1)Mg12 cuboctahedra, corners with eight equivalent Mg(3)Mg2Pb2 cuboctahedra, edges with two equivalent Mg(3)Mg2Pb2 cuboctahedra, edges with two equivalent Mg(4)Mg4Pb2 cuboctahedra, edges with three equivalent Mg(5)Mg2Pb2 cuboctahedra, edges with four equivalent Mg(2)Mg2Pb4 cuboctahedra, faces with two equivalent Mg(2)Mg2Pb4 cuboctahedra, and faces with two equivalent Mg(4)Mg4Pb2 cuboctahedra. In the fifth Mg site, Mg(5) is bonded to two equivalent Mg(1) and two equivalent Pb(1) atoms to form distorted MgMg2Pb2 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra, corners with four equivalent Mg(5)Mg2Pb2 cuboctahedra, corners with six equivalent Mg(4)Mg4Pb2 cuboctahedra, corners with eight equivalent Mg(2)Mg2Pb4 cuboctahedra, edges with two equivalent Mg(2)Mg2Pb4 cuboctahedra, edges with three equivalent Mg(4)Mg4Pb2 cuboctahedra, and edges with four equivalent Mg(3)Mg2Pb2 cuboctahedra. Pb(1) is bonded to two equivalent Mg(3), two equivalent Mg(4), two equivalent Mg(5), and four equivalent Mg(2) atoms to form distorted PbMg10 cuboctahedra that share corners with four equivalent Pb(1)Mg10 cuboctahedra, edges with eight equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, and faces with four equivalent Pb(1)Mg10 cuboctahedra. is represented by the CIF card [CIF]
data_Mg5Pb
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.408
_cell_length_b   8.408
_cell_length_c   5.274
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   157.747
_symmetry_Int_Tables_number   1
_cell_volume   141.195
_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
  Mg  Mg0  1  0.000  1.000  0.000  1.0
  Mg  Mg1  1  0.334  0.666  0.000  1.0
  Mg  Mg2  1  0.663  0.337  0.000  1.0
  Mg  Mg3  1  0.448  0.552  0.500  1.0
  Mg  Mg4  1  0.111  0.889  0.500  1.0
  Pb  Pb5  1  0.777  0.223  0.500  1.0
[/CIF]
.