The crystal structure described by Mg5Ce 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 six equivalent Mg(1)Mg12 cuboctahedra, edges with four equivalent Mg(4)Ce2Mg10 cuboctahedra, edges with eight equivalent Ce(1)Ce2Mg10 cuboctahedra, faces with two equivalent Ce(1)Ce2Mg10 cuboctahedra, faces with four equivalent Mg(4)Ce2Mg10 cuboctahedra, faces with four equivalent Mg(1)Mg12 cuboctahedra, and faces with six equivalent Mg(5)Ce2Mg10 cuboctahedra. In the second Mg site, Mg(2) is bonded in a 10-coordinate geometry to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(4), and four equivalent Ce(1) atoms. In the third Mg site, Mg(3) is bonded in a 10-coordinate geometry to two equivalent Mg(1), two equivalent Mg(3), four equivalent Mg(5), and two equivalent Ce(1) atoms. In the fourth Mg site, Mg(4) is bonded to two equivalent Mg(2), two equivalent Mg(4), two equivalent Mg(5), four equivalent Mg(1), and two equivalent Ce(1) atoms to form MgCe2Mg10 cuboctahedra that share corners with six equivalent Mg(4)Ce2Mg10 cuboctahedra, corners with six equivalent Mg(5)Ce2Mg10 cuboctahedra, corners with six equivalent Ce(1)Ce2Mg10 cuboctahedra, edges with three equivalent Mg(5)Ce2Mg10 cuboctahedra, edges with three equivalent Ce(1)Ce2Mg10 cuboctahedra, edges with four equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Mg(5)Ce2Mg10 cuboctahedra, faces with two equivalent Ce(1)Ce2Mg10 cuboctahedra, faces with four equivalent Mg(4)Ce2Mg10 cuboctahedra, and faces with four equivalent Mg(1)Mg12 cuboctahedra. In the fifth Mg site, Mg(5) is bonded to two equivalent Mg(1), two equivalent Mg(4), two equivalent Mg(5), four equivalent Mg(3), and two equivalent Ce(1) atoms to form MgCe2Mg10 cuboctahedra that share corners with six equivalent Mg(4)Ce2Mg10 cuboctahedra, corners with six equivalent Mg(5)Ce2Mg10 cuboctahedra, corners with six equivalent Ce(1)Ce2Mg10 cuboctahedra, edges with three equivalent Mg(4)Ce2Mg10 cuboctahedra, edges with three equivalent Ce(1)Ce2Mg10 cuboctahedra, faces with two equivalent Mg(4)Ce2Mg10 cuboctahedra, faces with two equivalent Ce(1)Ce2Mg10 cuboctahedra, faces with four equivalent Mg(5)Ce2Mg10 cuboctahedra, and faces with six equivalent Mg(1)Mg12 cuboctahedra. Ce(1) is bonded to two equivalent Mg(3), two equivalent Mg(4), two equivalent Mg(5), four equivalent Mg(2), and two equivalent Ce(1) atoms to form CeCe2Mg10 cuboctahedra that share corners with six equivalent Mg(4)Ce2Mg10 cuboctahedra, corners with six equivalent Mg(5)Ce2Mg10 cuboctahedra, corners with six equivalent Ce(1)Ce2Mg10 cuboctahedra, edges with three equivalent Mg(4)Ce2Mg10 cuboctahedra, edges with three equivalent Mg(5)Ce2Mg10 cuboctahedra, edges with eight equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Mg(4)Ce2Mg10 cuboctahedra, faces with two equivalent Mg(5)Ce2Mg10 cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, and faces with four equivalent Ce(1)Ce2Mg10 cuboctahedra. is represented by the CIF file [CIF]
data_CeMg5
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   3.092
_cell_length_b   5.246
_cell_length_c   9.111
_cell_angle_alpha   90.000
_cell_angle_beta   99.769
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   145.647
_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
  Ce  Ce0  1  0.775  0.500  0.550  1.0
  Mg  Mg1  1  0.000  0.000  0.001  1.0
  Mg  Mg2  1  0.345  0.000  0.690  1.0
  Mg  Mg3  1  0.664  0.000  0.327  1.0
  Mg  Mg4  1  0.446  0.500  0.891  1.0
  Mg  Mg5  1  0.104  0.500  0.208  1.0
[/CIF]
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The crystal structure described by Mg5Ce 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 six equivalent Mg(1)Mg12 cuboctahedra, edges with four equivalent Mg(4)Ce2Mg10 cuboctahedra, edges with eight equivalent Ce(1)Ce2Mg10 cuboctahedra, faces with two equivalent Ce(1)Ce2Mg10 cuboctahedra, faces with four equivalent Mg(4)Ce2Mg10 cuboctahedra, faces with four equivalent Mg(1)Mg12 cuboctahedra, and faces with six equivalent Mg(5)Ce2Mg10 cuboctahedra. In the second Mg site, Mg(2) is bonded in a 10-coordinate geometry to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(4), and four equivalent Ce(1) atoms. In the third Mg site, Mg(3) is bonded in a 10-coordinate geometry to two equivalent Mg(1), two equivalent Mg(3), four equivalent Mg(5), and two equivalent Ce(1) atoms. In the fourth Mg site, Mg(4) is bonded to two equivalent Mg(2), two equivalent Mg(4), two equivalent Mg(5), four equivalent Mg(1), and two equivalent Ce(1) atoms to form MgCe2Mg10 cuboctahedra that share corners with six equivalent Mg(4)Ce2Mg10 cuboctahedra, corners with six equivalent Mg(5)Ce2Mg10 cuboctahedra, corners with six equivalent Ce(1)Ce2Mg10 cuboctahedra, edges with three equivalent Mg(5)Ce2Mg10 cuboctahedra, edges with three equivalent Ce(1)Ce2Mg10 cuboctahedra, edges with four equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Mg(5)Ce2Mg10 cuboctahedra, faces with two equivalent Ce(1)Ce2Mg10 cuboctahedra, faces with four equivalent Mg(4)Ce2Mg10 cuboctahedra, and faces with four equivalent Mg(1)Mg12 cuboctahedra. In the fifth Mg site, Mg(5) is bonded to two equivalent Mg(1), two equivalent Mg(4), two equivalent Mg(5), four equivalent Mg(3), and two equivalent Ce(1) atoms to form MgCe2Mg10 cuboctahedra that share corners with six equivalent Mg(4)Ce2Mg10 cuboctahedra, corners with six equivalent Mg(5)Ce2Mg10 cuboctahedra, corners with six equivalent Ce(1)Ce2Mg10 cuboctahedra, edges with three equivalent Mg(4)Ce2Mg10 cuboctahedra, edges with three equivalent Ce(1)Ce2Mg10 cuboctahedra, faces with two equivalent Mg(4)Ce2Mg10 cuboctahedra, faces with two equivalent Ce(1)Ce2Mg10 cuboctahedra, faces with four equivalent Mg(5)Ce2Mg10 cuboctahedra, and faces with six equivalent Mg(1)Mg12 cuboctahedra. Ce(1) is bonded to two equivalent Mg(3), two equivalent Mg(4), two equivalent Mg(5), four equivalent Mg(2), and two equivalent Ce(1) atoms to form CeCe2Mg10 cuboctahedra that share corners with six equivalent Mg(4)Ce2Mg10 cuboctahedra, corners with six equivalent Mg(5)Ce2Mg10 cuboctahedra, corners with six equivalent Ce(1)Ce2Mg10 cuboctahedra, edges with three equivalent Mg(4)Ce2Mg10 cuboctahedra, edges with three equivalent Mg(5)Ce2Mg10 cuboctahedra, edges with eight equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Mg(4)Ce2Mg10 cuboctahedra, faces with two equivalent Mg(5)Ce2Mg10 cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, and faces with four equivalent Ce(1)Ce2Mg10 cuboctahedra. is represented by the CIF file [CIF]
data_CeMg5
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   3.092
_cell_length_b   5.246
_cell_length_c   9.111
_cell_angle_alpha   90.000
_cell_angle_beta   99.769
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   145.647
_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
  Ce  Ce0  1  0.775  0.500  0.550  1.0
  Mg  Mg1  1  0.000  0.000  0.001  1.0
  Mg  Mg2  1  0.345  0.000  0.690  1.0
  Mg  Mg3  1  0.664  0.000  0.327  1.0
  Mg  Mg4  1  0.446  0.500  0.891  1.0
  Mg  Mg5  1  0.104  0.500  0.208  1.0
[/CIF]
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