The compound described by Mg6CeZn is beta-derived structured and crystallizes in the orthorhombic Amm2 space group. There are four 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(4), two equivalent Ce(1), and two equivalent Zn(1) atoms to form distorted MgCe2Mg8Zn2 cuboctahedra that share corners with four equivalent Mg(2)Mg10Zn2 cuboctahedra, corners with ten equivalent Mg(1)Ce2Mg8Zn2 cuboctahedra, edges with two equivalent Mg(1)Ce2Mg8Zn2 cuboctahedra, edges with two equivalent Mg(2)Mg10Zn2 cuboctahedra, edges with four equivalent Mg(4)Ce2Mg10 cuboctahedra, edges with four equivalent Ce(1)Mg10Zn2 cuboctahedra, faces with two equivalent Mg(4)Ce2Mg10 cuboctahedra, faces with two equivalent Mg(2)Mg10Zn2 cuboctahedra, faces with two equivalent Ce(1)Mg10Zn2 cuboctahedra, and faces with four equivalent Mg(1)Ce2Mg8Zn2 cuboctahedra. 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 Zn(1) atoms to form MgMg10Zn2 cuboctahedra that share corners with six equivalent Mg(2)Mg10Zn2 cuboctahedra, corners with eight equivalent Mg(1)Ce2Mg8Zn2 cuboctahedra, edges with four equivalent Mg(4)Ce2Mg10 cuboctahedra, edges with four equivalent Mg(1)Ce2Mg8Zn2 cuboctahedra, faces with two equivalent Mg(4)Ce2Mg10 cuboctahedra, faces with two equivalent Mg(2)Mg10Zn2 cuboctahedra, faces with four equivalent Mg(1)Ce2Mg8Zn2 cuboctahedra, and faces with six equivalent Ce(1)Mg10Zn2 cuboctahedra. In the third Mg site, Mg(3) 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 Ce(1), and two equivalent Zn(1) atoms. 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 Ce(1) atoms to form distorted MgCe2Mg10 cuboctahedra that share corners with four equivalent Ce(1)Mg10Zn2 cuboctahedra, corners with six equivalent Mg(4)Ce2Mg10 cuboctahedra, edges with two equivalent Ce(1)Mg10Zn2 cuboctahedra, edges with four equivalent Mg(2)Mg10Zn2 cuboctahedra, edges with eight equivalent Mg(1)Ce2Mg8Zn2 cuboctahedra, faces with two equivalent Mg(4)Ce2Mg10 cuboctahedra, faces with two equivalent Mg(2)Mg10Zn2 cuboctahedra, faces with two equivalent Ce(1)Mg10Zn2 cuboctahedra, and faces with four equivalent Mg(1)Ce2Mg8Zn2 cuboctahedra. Ce(1) is bonded to two equivalent Mg(4), four equivalent Mg(1), four equivalent Mg(3), and two equivalent Zn(1) atoms to form CeMg10Zn2 cuboctahedra that share corners with four equivalent Mg(4)Ce2Mg10 cuboctahedra, corners with six equivalent Ce(1)Mg10Zn2 cuboctahedra, edges with two equivalent Mg(4)Ce2Mg10 cuboctahedra, edges with eight equivalent Mg(1)Ce2Mg8Zn2 cuboctahedra, faces with two equivalent Mg(4)Ce2Mg10 cuboctahedra, faces with two equivalent Ce(1)Mg10Zn2 cuboctahedra, faces with four equivalent Mg(1)Ce2Mg8Zn2 cuboctahedra, and faces with six equivalent Mg(2)Mg10Zn2 cuboctahedra. Zn(1) is bonded in a 12-coordinate geometry to two equivalent Mg(2), four equivalent Mg(1), four equivalent Mg(3), and two equivalent Ce(1) atoms. is represented by the CIF card [CIF]
data_CeMg6Zn
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.666
_cell_length_b   6.666
_cell_length_c   5.060
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   119.851
_symmetry_Int_Tables_number   1
_cell_volume   194.975
_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  0.326  0.174  0.750  1.0
  Mg  Mg1  1  0.162  0.820  0.250  1.0
  Mg  Mg2  1  0.680  0.338  0.250  1.0
  Mg  Mg3  1  0.668  0.832  0.250  1.0
  Mg  Mg4  1  0.320  0.661  0.750  1.0
  Mg  Mg5  1  0.839  0.180  0.750  1.0
  Mg  Mg6  1  0.837  0.663  0.750  1.0
  Zn  Zn7  1  0.168  0.332  0.250  1.0
[/CIF]
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The compound described by Mg6CeZn is beta-derived structured and crystallizes in the orthorhombic Amm2 space group. There are four 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(4), two equivalent Ce(1), and two equivalent Zn(1) atoms to form distorted MgCe2Mg8Zn2 cuboctahedra that share corners with four equivalent Mg(2)Mg10Zn2 cuboctahedra, corners with ten equivalent Mg(1)Ce2Mg8Zn2 cuboctahedra, edges with two equivalent Mg(1)Ce2Mg8Zn2 cuboctahedra, edges with two equivalent Mg(2)Mg10Zn2 cuboctahedra, edges with four equivalent Mg(4)Ce2Mg10 cuboctahedra, edges with four equivalent Ce(1)Mg10Zn2 cuboctahedra, faces with two equivalent Mg(4)Ce2Mg10 cuboctahedra, faces with two equivalent Mg(2)Mg10Zn2 cuboctahedra, faces with two equivalent Ce(1)Mg10Zn2 cuboctahedra, and faces with four equivalent Mg(1)Ce2Mg8Zn2 cuboctahedra. 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 Zn(1) atoms to form MgMg10Zn2 cuboctahedra that share corners with six equivalent Mg(2)Mg10Zn2 cuboctahedra, corners with eight equivalent Mg(1)Ce2Mg8Zn2 cuboctahedra, edges with four equivalent Mg(4)Ce2Mg10 cuboctahedra, edges with four equivalent Mg(1)Ce2Mg8Zn2 cuboctahedra, faces with two equivalent Mg(4)Ce2Mg10 cuboctahedra, faces with two equivalent Mg(2)Mg10Zn2 cuboctahedra, faces with four equivalent Mg(1)Ce2Mg8Zn2 cuboctahedra, and faces with six equivalent Ce(1)Mg10Zn2 cuboctahedra. In the third Mg site, Mg(3) 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 Ce(1), and two equivalent Zn(1) atoms. 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 Ce(1) atoms to form distorted MgCe2Mg10 cuboctahedra that share corners with four equivalent Ce(1)Mg10Zn2 cuboctahedra, corners with six equivalent Mg(4)Ce2Mg10 cuboctahedra, edges with two equivalent Ce(1)Mg10Zn2 cuboctahedra, edges with four equivalent Mg(2)Mg10Zn2 cuboctahedra, edges with eight equivalent Mg(1)Ce2Mg8Zn2 cuboctahedra, faces with two equivalent Mg(4)Ce2Mg10 cuboctahedra, faces with two equivalent Mg(2)Mg10Zn2 cuboctahedra, faces with two equivalent Ce(1)Mg10Zn2 cuboctahedra, and faces with four equivalent Mg(1)Ce2Mg8Zn2 cuboctahedra. Ce(1) is bonded to two equivalent Mg(4), four equivalent Mg(1), four equivalent Mg(3), and two equivalent Zn(1) atoms to form CeMg10Zn2 cuboctahedra that share corners with four equivalent Mg(4)Ce2Mg10 cuboctahedra, corners with six equivalent Ce(1)Mg10Zn2 cuboctahedra, edges with two equivalent Mg(4)Ce2Mg10 cuboctahedra, edges with eight equivalent Mg(1)Ce2Mg8Zn2 cuboctahedra, faces with two equivalent Mg(4)Ce2Mg10 cuboctahedra, faces with two equivalent Ce(1)Mg10Zn2 cuboctahedra, faces with four equivalent Mg(1)Ce2Mg8Zn2 cuboctahedra, and faces with six equivalent Mg(2)Mg10Zn2 cuboctahedra. Zn(1) is bonded in a 12-coordinate geometry to two equivalent Mg(2), four equivalent Mg(1), four equivalent Mg(3), and two equivalent Ce(1) atoms. is represented by the CIF card [CIF]
data_CeMg6Zn
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.666
_cell_length_b   6.666
_cell_length_c   5.060
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   119.851
_symmetry_Int_Tables_number   1
_cell_volume   194.975
_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  0.326  0.174  0.750  1.0
  Mg  Mg1  1  0.162  0.820  0.250  1.0
  Mg  Mg2  1  0.680  0.338  0.250  1.0
  Mg  Mg3  1  0.668  0.832  0.250  1.0
  Mg  Mg4  1  0.320  0.661  0.750  1.0
  Mg  Mg5  1  0.839  0.180  0.750  1.0
  Mg  Mg6  1  0.837  0.663  0.750  1.0
  Zn  Zn7  1  0.168  0.332  0.250  1.0
[/CIF]
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