The compound described by Mg14CeZr is beta-derived structured and crystallizes in the orthorhombic Amm2 space group. There are seven inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Mg(2), two equivalent Mg(6), four equivalent Mg(4), and four equivalent Mg(5) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Ce(1)Mg10Zr2 cuboctahedra, corners with six equivalent Mg(1)Mg12 cuboctahedra, corners with eight equivalent Mg(3)Ce2Mg8Zr2 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with four equivalent Mg(6)Mg11Zr cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with eight equivalent Mg(5)CeMg10Zr cuboctahedra, faces with two equivalent Mg(6)Mg11Zr cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with two equivalent Zr(1)Ce2Mg10 cuboctahedra, faces with four equivalent Mg(5)CeMg10Zr cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, and faces with six equivalent Mg(7)CeMg11 cuboctahedra. In the second Mg site, Mg(2) is bonded to two equivalent Mg(1), two equivalent Mg(7), four equivalent Mg(4), and four equivalent Mg(5) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Zr(1)Ce2Mg10 cuboctahedra, corners with six equivalent Mg(2)Mg12 cuboctahedra, corners with eight equivalent Mg(3)Ce2Mg8Zr2 cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with four equivalent Mg(7)CeMg11 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with eight equivalent Mg(5)CeMg10Zr cuboctahedra, faces with two equivalent Mg(7)CeMg11 cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Ce(1)Mg10Zr2 cuboctahedra, faces with four equivalent Mg(5)CeMg10Zr cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, and faces with six equivalent Mg(6)Mg11Zr cuboctahedra. In the third Mg site, Mg(3) is bonded to two equivalent Mg(3), two equivalent Mg(5), two equivalent Mg(6), two equivalent Mg(7), two equivalent Ce(1), and two equivalent Zr(1) atoms to form MgCe2Mg8Zr2 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra, corners with four equivalent Mg(2)Mg12 cuboctahedra, corners with four equivalent Mg(4)Mg12 cuboctahedra, corners with six equivalent Mg(3)Ce2Mg8Zr2 cuboctahedra, edges with two equivalent Mg(3)Ce2Mg8Zr2 cuboctahedra, edges with two equivalent Ce(1)Mg10Zr2 cuboctahedra, edges with two equivalent Zr(1)Ce2Mg10 cuboctahedra, edges with four equivalent Mg(5)CeMg10Zr cuboctahedra, edges with four equivalent Mg(7)CeMg11 cuboctahedra, edges with four equivalent Mg(6)Mg11Zr cuboctahedra, faces with two equivalent Mg(3)Ce2Mg8Zr2 cuboctahedra, faces with two equivalent Mg(7)CeMg11 cuboctahedra, faces with two equivalent Mg(6)Mg11Zr cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Ce(1)Mg10Zr2 cuboctahedra, faces with two equivalent Zr(1)Ce2Mg10 cuboctahedra, and faces with eight equivalent Mg(5)CeMg10Zr cuboctahedra. In the fourth Mg site, Mg(4) is bonded to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(4), two equivalent Mg(5), two equivalent Mg(6), and two equivalent Mg(7) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Mg(3)Ce2Mg8Zr2 cuboctahedra, corners with four equivalent Ce(1)Mg10Zr2 cuboctahedra, corners with four equivalent Zr(1)Ce2Mg10 cuboctahedra, corners with six equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with two equivalent Mg(4)Mg12 cuboctahedra, edges with four equivalent Mg(5)CeMg10Zr cuboctahedra, edges with four equivalent Mg(7)CeMg11 cuboctahedra, edges with four equivalent Mg(6)Mg11Zr cuboctahedra, faces with two equivalent Mg(3)Ce2Mg8Zr2 cuboctahedra, faces with two equivalent Mg(7)CeMg11 cuboctahedra, faces with two equivalent Mg(6)Mg11Zr cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, and faces with eight equivalent Mg(5)CeMg10Zr cuboctahedra. In the fifth Mg site, Mg(5) is bonded to one Mg(1), one Mg(2), one Mg(3), one Mg(4), two equivalent Mg(5), two equivalent Mg(6), two equivalent Mg(7), one Ce(1), and one Zr(1) atom to form MgCeMg10Zr cuboctahedra that share corners with four equivalent Mg(7)CeMg11 cuboctahedra, corners with four equivalent Mg(6)Mg11Zr cuboctahedra, corners with ten equivalent Mg(5)CeMg10Zr cuboctahedra, edges with two equivalent Mg(3)Ce2Mg8Zr2 cuboctahedra, edges with two equivalent Mg(5)CeMg10Zr cuboctahedra, edges with two equivalent Mg(7)CeMg11 cuboctahedra, edges with two equivalent Mg(6)Mg11Zr cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with two equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Ce(1)Mg10Zr2 cuboctahedra, edges with two equivalent Zr(1)Ce2Mg10 cuboctahedra,  a faceface with one Mg(1)Mg12 cuboctahedra,  a faceface with one Mg(2)Mg12 cuboctahedra,  a faceface with one Ce(1)Mg10Zr2 cuboctahedra,  a faceface with one Zr(1)Ce2Mg10 cuboctahedra, faces with two equivalent Mg(7)CeMg11 cuboctahedra, faces with two equivalent Mg(6)Mg11Zr cuboctahedra, faces with four equivalent Mg(3)Ce2Mg8Zr2 cuboctahedra, faces with four equivalent Mg(5)CeMg10Zr cuboctahedra, and faces with four equivalent Mg(4)Mg12 cuboctahedra. In the sixth Mg site, Mg(6) is bonded to one Mg(1), two equivalent Mg(3), two equivalent Mg(4), two equivalent Mg(7), four equivalent Mg(5), and one Zr(1) atom to form MgMg11Zr cuboctahedra that share corners with four equivalent Mg(7)CeMg11 cuboctahedra, corners with six equivalent Mg(6)Mg11Zr cuboctahedra, corners with eight equivalent Mg(5)CeMg10Zr cuboctahedra, edges with two equivalent Mg(7)CeMg11 cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with two equivalent Zr(1)Ce2Mg10 cuboctahedra, edges with four equivalent Mg(3)Ce2Mg8Zr2 cuboctahedra, edges with four equivalent Mg(5)CeMg10Zr cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra,  a faceface with one Mg(1)Mg12 cuboctahedra,  a faceface with one Zr(1)Ce2Mg10 cuboctahedra, faces with two equivalent Mg(3)Ce2Mg8Zr2 cuboctahedra, faces with two equivalent Mg(7)CeMg11 cuboctahedra, faces with two equivalent Mg(6)Mg11Zr cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with three equivalent Mg(2)Mg12 cuboctahedra, faces with three equivalent Ce(1)Mg10Zr2 cuboctahedra, and faces with four equivalent Mg(5)CeMg10Zr cuboctahedra. In the seventh Mg site, Mg(7) is bonded to one Mg(2), two equivalent Mg(3), two equivalent Mg(4), two equivalent Mg(6), four equivalent Mg(5), and one Ce(1) atom to form distorted MgCeMg11 cuboctahedra that share corners with four equivalent Mg(6)Mg11Zr cuboctahedra, corners with six equivalent Mg(7)CeMg11 cuboctahedra, corners with eight equivalent Mg(5)CeMg10Zr cuboctahedra, edges with two equivalent Mg(6)Mg11Zr cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with two equivalent Ce(1)Mg10Zr2 cuboctahedra, edges with four equivalent Mg(3)Ce2Mg8Zr2 cuboctahedra, edges with four equivalent Mg(5)CeMg10Zr cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra,  a faceface with one Mg(2)Mg12 cuboctahedra,  a faceface with one Ce(1)Mg10Zr2 cuboctahedra, faces with two equivalent Mg(3)Ce2Mg8Zr2 cuboctahedra, faces with two equivalent Mg(7)CeMg11 cuboctahedra, faces with two equivalent Mg(6)Mg11Zr cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with three equivalent Mg(1)Mg12 cuboctahedra, faces with three equivalent Zr(1)Ce2Mg10 cuboctahedra, and faces with four equivalent Mg(5)CeMg10Zr cuboctahedra. Ce(1) is bonded to two equivalent Mg(7), four equivalent Mg(3), four equivalent Mg(5), and two equivalent Zr(1) atoms to form CeMg10Zr2 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra, corners with six equivalent Ce(1)Mg10Zr2 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Zr(1)Ce2Mg10 cuboctahedra, edges with four equivalent Mg(3)Ce2Mg8Zr2 cuboctahedra, edges with four equivalent Mg(7)CeMg11 cuboctahedra, edges with eight equivalent Mg(5)CeMg10Zr cuboctahedra, faces with two equivalent Mg(7)CeMg11 cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with two equivalent Zr(1)Ce2Mg10 cuboctahedra, faces with four equivalent Mg(3)Ce2Mg8Zr2 cuboctahedra, faces with four equivalent Mg(5)CeMg10Zr cuboctahedra, and faces with six equivalent Mg(6)Mg11Zr cuboctahedra. Zr(1) is bonded to two equivalent Mg(6), four equivalent Mg(3), four equivalent Mg(5), and two equivalent Ce(1) atoms to form distorted ZrCe2Mg10 cuboctahedra that share corners with four equivalent Mg(2)Mg12 cuboctahedra, corners with six equivalent Zr(1)Ce2Mg10 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Ce(1)Mg10Zr2 cuboctahedra, edges with four equivalent Mg(3)Ce2Mg8Zr2 cuboctahedra, edges with four equivalent Mg(6)Mg11Zr cuboctahedra, edges with eight equivalent Mg(5)CeMg10Zr cuboctahedra, faces with two equivalent Mg(6)Mg11Zr cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Ce(1)Mg10Zr2 cuboctahedra, faces with four equivalent Mg(3)Ce2Mg8Zr2 cuboctahedra, faces with four equivalent Mg(5)CeMg10Zr cuboctahedra, and faces with six equivalent Mg(7)CeMg11 cuboctahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_CeMg14Zr
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.539
_cell_length_b   6.234
_cell_length_c   10.401
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   118.469
_symmetry_Int_Tables_number   1
_cell_volume   372.716
_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  0.152  0.826  0.125  1.0
  Mg  Mg1  1  0.161  0.330  0.625  1.0
  Mg  Mg2  1  0.163  0.832  0.625  1.0
  Mg  Mg3  1  0.655  0.328  0.125  1.0
  Mg  Mg4  1  0.662  0.329  0.625  1.0
  Mg  Mg5  1  0.655  0.827  0.125  1.0
  Mg  Mg6  1  0.662  0.833  0.625  1.0
  Mg  Mg7  1  0.342  0.173  0.381  1.0
  Mg  Mg8  1  0.342  0.173  0.869  1.0
  Mg  Mg9  1  0.342  0.669  0.381  1.0
  Mg  Mg10  1  0.342  0.669  0.869  1.0
  Mg  Mg11  1  0.844  0.172  0.370  1.0
  Mg  Mg12  1  0.844  0.172  0.880  1.0
  Mg  Mg13  1  0.833  0.667  0.384  1.0
  Mg  Mg14  1  0.833  0.667  0.866  1.0
  Zr  Zr15  1  0.169  0.335  0.125  1.0
[/CIF]
.
The compound described by Mg14CeZr is beta-derived structured and crystallizes in the orthorhombic Amm2 space group. There are seven inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Mg(2), two equivalent Mg(6), four equivalent Mg(4), and four equivalent Mg(5) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Ce(1)Mg10Zr2 cuboctahedra, corners with six equivalent Mg(1)Mg12 cuboctahedra, corners with eight equivalent Mg(3)Ce2Mg8Zr2 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with four equivalent Mg(6)Mg11Zr cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with eight equivalent Mg(5)CeMg10Zr cuboctahedra, faces with two equivalent Mg(6)Mg11Zr cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with two equivalent Zr(1)Ce2Mg10 cuboctahedra, faces with four equivalent Mg(5)CeMg10Zr cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, and faces with six equivalent Mg(7)CeMg11 cuboctahedra. In the second Mg site, Mg(2) is bonded to two equivalent Mg(1), two equivalent Mg(7), four equivalent Mg(4), and four equivalent Mg(5) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Zr(1)Ce2Mg10 cuboctahedra, corners with six equivalent Mg(2)Mg12 cuboctahedra, corners with eight equivalent Mg(3)Ce2Mg8Zr2 cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with four equivalent Mg(7)CeMg11 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with eight equivalent Mg(5)CeMg10Zr cuboctahedra, faces with two equivalent Mg(7)CeMg11 cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Ce(1)Mg10Zr2 cuboctahedra, faces with four equivalent Mg(5)CeMg10Zr cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, and faces with six equivalent Mg(6)Mg11Zr cuboctahedra. In the third Mg site, Mg(3) is bonded to two equivalent Mg(3), two equivalent Mg(5), two equivalent Mg(6), two equivalent Mg(7), two equivalent Ce(1), and two equivalent Zr(1) atoms to form MgCe2Mg8Zr2 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra, corners with four equivalent Mg(2)Mg12 cuboctahedra, corners with four equivalent Mg(4)Mg12 cuboctahedra, corners with six equivalent Mg(3)Ce2Mg8Zr2 cuboctahedra, edges with two equivalent Mg(3)Ce2Mg8Zr2 cuboctahedra, edges with two equivalent Ce(1)Mg10Zr2 cuboctahedra, edges with two equivalent Zr(1)Ce2Mg10 cuboctahedra, edges with four equivalent Mg(5)CeMg10Zr cuboctahedra, edges with four equivalent Mg(7)CeMg11 cuboctahedra, edges with four equivalent Mg(6)Mg11Zr cuboctahedra, faces with two equivalent Mg(3)Ce2Mg8Zr2 cuboctahedra, faces with two equivalent Mg(7)CeMg11 cuboctahedra, faces with two equivalent Mg(6)Mg11Zr cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Ce(1)Mg10Zr2 cuboctahedra, faces with two equivalent Zr(1)Ce2Mg10 cuboctahedra, and faces with eight equivalent Mg(5)CeMg10Zr cuboctahedra. In the fourth Mg site, Mg(4) is bonded to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(4), two equivalent Mg(5), two equivalent Mg(6), and two equivalent Mg(7) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Mg(3)Ce2Mg8Zr2 cuboctahedra, corners with four equivalent Ce(1)Mg10Zr2 cuboctahedra, corners with four equivalent Zr(1)Ce2Mg10 cuboctahedra, corners with six equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with two equivalent Mg(4)Mg12 cuboctahedra, edges with four equivalent Mg(5)CeMg10Zr cuboctahedra, edges with four equivalent Mg(7)CeMg11 cuboctahedra, edges with four equivalent Mg(6)Mg11Zr cuboctahedra, faces with two equivalent Mg(3)Ce2Mg8Zr2 cuboctahedra, faces with two equivalent Mg(7)CeMg11 cuboctahedra, faces with two equivalent Mg(6)Mg11Zr cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, and faces with eight equivalent Mg(5)CeMg10Zr cuboctahedra. In the fifth Mg site, Mg(5) is bonded to one Mg(1), one Mg(2), one Mg(3), one Mg(4), two equivalent Mg(5), two equivalent Mg(6), two equivalent Mg(7), one Ce(1), and one Zr(1) atom to form MgCeMg10Zr cuboctahedra that share corners with four equivalent Mg(7)CeMg11 cuboctahedra, corners with four equivalent Mg(6)Mg11Zr cuboctahedra, corners with ten equivalent Mg(5)CeMg10Zr cuboctahedra, edges with two equivalent Mg(3)Ce2Mg8Zr2 cuboctahedra, edges with two equivalent Mg(5)CeMg10Zr cuboctahedra, edges with two equivalent Mg(7)CeMg11 cuboctahedra, edges with two equivalent Mg(6)Mg11Zr cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with two equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Ce(1)Mg10Zr2 cuboctahedra, edges with two equivalent Zr(1)Ce2Mg10 cuboctahedra,  a faceface with one Mg(1)Mg12 cuboctahedra,  a faceface with one Mg(2)Mg12 cuboctahedra,  a faceface with one Ce(1)Mg10Zr2 cuboctahedra,  a faceface with one Zr(1)Ce2Mg10 cuboctahedra, faces with two equivalent Mg(7)CeMg11 cuboctahedra, faces with two equivalent Mg(6)Mg11Zr cuboctahedra, faces with four equivalent Mg(3)Ce2Mg8Zr2 cuboctahedra, faces with four equivalent Mg(5)CeMg10Zr cuboctahedra, and faces with four equivalent Mg(4)Mg12 cuboctahedra. In the sixth Mg site, Mg(6) is bonded to one Mg(1), two equivalent Mg(3), two equivalent Mg(4), two equivalent Mg(7), four equivalent Mg(5), and one Zr(1) atom to form MgMg11Zr cuboctahedra that share corners with four equivalent Mg(7)CeMg11 cuboctahedra, corners with six equivalent Mg(6)Mg11Zr cuboctahedra, corners with eight equivalent Mg(5)CeMg10Zr cuboctahedra, edges with two equivalent Mg(7)CeMg11 cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with two equivalent Zr(1)Ce2Mg10 cuboctahedra, edges with four equivalent Mg(3)Ce2Mg8Zr2 cuboctahedra, edges with four equivalent Mg(5)CeMg10Zr cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra,  a faceface with one Mg(1)Mg12 cuboctahedra,  a faceface with one Zr(1)Ce2Mg10 cuboctahedra, faces with two equivalent Mg(3)Ce2Mg8Zr2 cuboctahedra, faces with two equivalent Mg(7)CeMg11 cuboctahedra, faces with two equivalent Mg(6)Mg11Zr cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with three equivalent Mg(2)Mg12 cuboctahedra, faces with three equivalent Ce(1)Mg10Zr2 cuboctahedra, and faces with four equivalent Mg(5)CeMg10Zr cuboctahedra. In the seventh Mg site, Mg(7) is bonded to one Mg(2), two equivalent Mg(3), two equivalent Mg(4), two equivalent Mg(6), four equivalent Mg(5), and one Ce(1) atom to form distorted MgCeMg11 cuboctahedra that share corners with four equivalent Mg(6)Mg11Zr cuboctahedra, corners with six equivalent Mg(7)CeMg11 cuboctahedra, corners with eight equivalent Mg(5)CeMg10Zr cuboctahedra, edges with two equivalent Mg(6)Mg11Zr cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with two equivalent Ce(1)Mg10Zr2 cuboctahedra, edges with four equivalent Mg(3)Ce2Mg8Zr2 cuboctahedra, edges with four equivalent Mg(5)CeMg10Zr cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra,  a faceface with one Mg(2)Mg12 cuboctahedra,  a faceface with one Ce(1)Mg10Zr2 cuboctahedra, faces with two equivalent Mg(3)Ce2Mg8Zr2 cuboctahedra, faces with two equivalent Mg(7)CeMg11 cuboctahedra, faces with two equivalent Mg(6)Mg11Zr cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with three equivalent Mg(1)Mg12 cuboctahedra, faces with three equivalent Zr(1)Ce2Mg10 cuboctahedra, and faces with four equivalent Mg(5)CeMg10Zr cuboctahedra. Ce(1) is bonded to two equivalent Mg(7), four equivalent Mg(3), four equivalent Mg(5), and two equivalent Zr(1) atoms to form CeMg10Zr2 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra, corners with six equivalent Ce(1)Mg10Zr2 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Zr(1)Ce2Mg10 cuboctahedra, edges with four equivalent Mg(3)Ce2Mg8Zr2 cuboctahedra, edges with four equivalent Mg(7)CeMg11 cuboctahedra, edges with eight equivalent Mg(5)CeMg10Zr cuboctahedra, faces with two equivalent Mg(7)CeMg11 cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with two equivalent Zr(1)Ce2Mg10 cuboctahedra, faces with four equivalent Mg(3)Ce2Mg8Zr2 cuboctahedra, faces with four equivalent Mg(5)CeMg10Zr cuboctahedra, and faces with six equivalent Mg(6)Mg11Zr cuboctahedra. Zr(1) is bonded to two equivalent Mg(6), four equivalent Mg(3), four equivalent Mg(5), and two equivalent Ce(1) atoms to form distorted ZrCe2Mg10 cuboctahedra that share corners with four equivalent Mg(2)Mg12 cuboctahedra, corners with six equivalent Zr(1)Ce2Mg10 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Ce(1)Mg10Zr2 cuboctahedra, edges with four equivalent Mg(3)Ce2Mg8Zr2 cuboctahedra, edges with four equivalent Mg(6)Mg11Zr cuboctahedra, edges with eight equivalent Mg(5)CeMg10Zr cuboctahedra, faces with two equivalent Mg(6)Mg11Zr cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Ce(1)Mg10Zr2 cuboctahedra, faces with four equivalent Mg(3)Ce2Mg8Zr2 cuboctahedra, faces with four equivalent Mg(5)CeMg10Zr cuboctahedra, and faces with six equivalent Mg(7)CeMg11 cuboctahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_CeMg14Zr
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.539
_cell_length_b   6.234
_cell_length_c   10.401
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   118.469
_symmetry_Int_Tables_number   1
_cell_volume   372.716
_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  0.152  0.826  0.125  1.0
  Mg  Mg1  1  0.161  0.330  0.625  1.0
  Mg  Mg2  1  0.163  0.832  0.625  1.0
  Mg  Mg3  1  0.655  0.328  0.125  1.0
  Mg  Mg4  1  0.662  0.329  0.625  1.0
  Mg  Mg5  1  0.655  0.827  0.125  1.0
  Mg  Mg6  1  0.662  0.833  0.625  1.0
  Mg  Mg7  1  0.342  0.173  0.381  1.0
  Mg  Mg8  1  0.342  0.173  0.869  1.0
  Mg  Mg9  1  0.342  0.669  0.381  1.0
  Mg  Mg10  1  0.342  0.669  0.869  1.0
  Mg  Mg11  1  0.844  0.172  0.370  1.0
  Mg  Mg12  1  0.844  0.172  0.880  1.0
  Mg  Mg13  1  0.833  0.667  0.384  1.0
  Mg  Mg14  1  0.833  0.667  0.866  1.0
  Zr  Zr15  1  0.169  0.335  0.125  1.0
[/CIF]
.