The compound described by MgCeZr7O16 crystallizes in the monoclinic C2 space group. Mg(1) is bonded in a 6-coordinate geometry to two equivalent O(1), two equivalent O(2), and two equivalent O(3) atoms. Ce(1) is bonded in a 8-coordinate geometry to two equivalent O(1), two equivalent O(2), two equivalent O(4), and two equivalent O(5) atoms. There are five inequivalent Zr sites. In the first Zr site, Zr(1) is bonded in a 8-coordinate geometry to two equivalent O(1), two equivalent O(2), two equivalent O(3), and two equivalent O(6) atoms. In the second Zr site, Zr(2) is bonded in a 7-coordinate geometry to one O(1), one O(2), one O(3), one O(4), one O(5), one O(7), and one O(8) atom. In the third Zr site, Zr(3) is bonded in a 7-coordinate geometry to one O(1), one O(2), one O(4), one O(5), one O(6), one O(7), and one O(8) atom. In the fourth Zr site, Zr(4) is bonded in a 8-coordinate geometry to two equivalent O(3), two equivalent O(6), two equivalent O(7), and two equivalent O(8) atoms. In the fifth Zr site, Zr(5) is bonded in a body-centered cubic geometry to two equivalent O(4), two equivalent O(5), two equivalent O(7), and two equivalent O(8) atoms. There are eight inequivalent O sites. In the first O site, O(1) is bonded in a 5-coordinate geometry to one Mg(1), one Ce(1), one Zr(1), one Zr(2), and one Zr(3) atom. In the second O site, O(2) is bonded in a 5-coordinate geometry to one Mg(1), one Ce(1), one Zr(1), one Zr(2), and one Zr(3) atom. In the third O site, O(3) is bonded to one Mg(1), one Zr(1), one Zr(2), and one Zr(4) atom to form distorted OMgZr3 trigonal pyramids that share  a cornercorner with one O(4)CeZr3 tetrahedra,  a cornercorner with one O(5)CeZr3 tetrahedra, corners with three equivalent O(7)Zr4 tetrahedra, corners with three equivalent O(8)Zr4 tetrahedra,  a cornercorner with one O(3)MgZr3 trigonal pyramid, and  an edgeedge with one O(3)MgZr3 trigonal pyramid. In the fourth O site, O(4) is bonded to one Ce(1), one Zr(2), one Zr(3), and one Zr(5) atom to form OCeZr3 tetrahedra that share corners with two equivalent O(4)CeZr3 tetrahedra, corners with two equivalent O(7)Zr4 tetrahedra, corners with four equivalent O(8)Zr4 tetrahedra,  a cornercorner with one O(3)MgZr3 trigonal pyramid,  an edgeedge with one O(7)Zr4 tetrahedra, and edges with three equivalent O(5)CeZr3 tetrahedra. In the fifth O site, O(5) is bonded to one Ce(1), one Zr(2), one Zr(3), and one Zr(5) atom to form distorted OCeZr3 tetrahedra that share corners with two equivalent O(5)CeZr3 tetrahedra, corners with two equivalent O(8)Zr4 tetrahedra, corners with four equivalent O(7)Zr4 tetrahedra,  a cornercorner with one O(3)MgZr3 trigonal pyramid,  an edgeedge with one O(8)Zr4 tetrahedra, and edges with three equivalent O(4)CeZr3 tetrahedra. In the sixth O site, O(6) is bonded in a 3-coordinate geometry to one Zr(1), one Zr(3), and one Zr(4) atom. In the seventh O site, O(7) is bonded to one Zr(2), one Zr(3), one Zr(4), and one Zr(5) atom to form OZr4 tetrahedra that share corners with two equivalent O(4)CeZr3 tetrahedra, corners with two equivalent O(7)Zr4 tetrahedra, corners with four equivalent O(5)CeZr3 tetrahedra, corners with three equivalent O(3)MgZr3 trigonal pyramids,  an edgeedge with one O(4)CeZr3 tetrahedra, and edges with three equivalent O(8)Zr4 tetrahedra. In the eighth O site, O(8) is bonded to one Zr(2), one Zr(3), one Zr(4), and one Zr(5) atom to form OZr4 tetrahedra that share corners with two equivalent O(5)CeZr3 tetrahedra, corners with two equivalent O(8)Zr4 tetrahedra, corners with four equivalent O(4)CeZr3 tetrahedra, corners with three equivalent O(3)MgZr3 trigonal pyramids,  an edgeedge with one O(5)CeZr3 tetrahedra, and edges with three equivalent O(7)Zr4 tetrahedra. is represented by the CIF card [CIF]
data_CeMgZr7O16
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.433
_cell_length_b   7.487
_cell_length_c   7.487
_cell_angle_alpha   89.246
_cell_angle_beta   86.416
_cell_angle_gamma   93.584
_symmetry_Int_Tables_number   1
_cell_volume   303.323
_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  0.000  0.969  0.969  1.0
  Mg  Mg1  1  0.000  0.229  0.229  1.0
  Zr  Zr2  1  0.500  0.277  0.277  1.0
  Zr  Zr3  1  0.004  0.964  0.515  1.0
  Zr  Zr4  1  0.502  0.257  0.783  1.0
  Zr  Zr5  1  0.996  0.515  0.964  1.0
  Zr  Zr6  1  0.498  0.783  0.257  1.0
  Zr  Zr7  1  0.000  0.506  0.506  1.0
  Zr  Zr8  1  0.500  0.749  0.749  1.0
  O  O9  1  0.208  0.273  0.006  1.0
  O  O10  1  0.295  0.012  0.251  1.0
  O  O11  1  0.792  0.006  0.273  1.0
  O  O12  1  0.705  0.251  0.012  1.0
  O  O13  1  0.133  0.245  0.466  1.0
  O  O14  1  0.288  0.008  0.728  1.0
  O  O15  1  0.755  0.006  0.733  1.0
  O  O16  1  0.645  0.282  0.515  1.0
  O  O17  1  0.245  0.733  0.006  1.0
  O  O18  1  0.355  0.515  0.282  1.0
  O  O19  1  0.867  0.466  0.245  1.0
  O  O20  1  0.712  0.728  0.008  1.0
  O  O21  1  0.228  0.751  0.494  1.0
  O  O22  1  0.275  0.490  0.731  1.0
  O  O23  1  0.772  0.494  0.751  1.0
  O  O24  1  0.725  0.731  0.490  1.0
[/CIF]
.
The compound described by MgCeZr7O16 crystallizes in the monoclinic C2 space group. Mg(1) is bonded in a 6-coordinate geometry to two equivalent O(1), two equivalent O(2), and two equivalent O(3) atoms. Ce(1) is bonded in a 8-coordinate geometry to two equivalent O(1), two equivalent O(2), two equivalent O(4), and two equivalent O(5) atoms. There are five inequivalent Zr sites. In the first Zr site, Zr(1) is bonded in a 8-coordinate geometry to two equivalent O(1), two equivalent O(2), two equivalent O(3), and two equivalent O(6) atoms. In the second Zr site, Zr(2) is bonded in a 7-coordinate geometry to one O(1), one O(2), one O(3), one O(4), one O(5), one O(7), and one O(8) atom. In the third Zr site, Zr(3) is bonded in a 7-coordinate geometry to one O(1), one O(2), one O(4), one O(5), one O(6), one O(7), and one O(8) atom. In the fourth Zr site, Zr(4) is bonded in a 8-coordinate geometry to two equivalent O(3), two equivalent O(6), two equivalent O(7), and two equivalent O(8) atoms. In the fifth Zr site, Zr(5) is bonded in a body-centered cubic geometry to two equivalent O(4), two equivalent O(5), two equivalent O(7), and two equivalent O(8) atoms. There are eight inequivalent O sites. In the first O site, O(1) is bonded in a 5-coordinate geometry to one Mg(1), one Ce(1), one Zr(1), one Zr(2), and one Zr(3) atom. In the second O site, O(2) is bonded in a 5-coordinate geometry to one Mg(1), one Ce(1), one Zr(1), one Zr(2), and one Zr(3) atom. In the third O site, O(3) is bonded to one Mg(1), one Zr(1), one Zr(2), and one Zr(4) atom to form distorted OMgZr3 trigonal pyramids that share  a cornercorner with one O(4)CeZr3 tetrahedra,  a cornercorner with one O(5)CeZr3 tetrahedra, corners with three equivalent O(7)Zr4 tetrahedra, corners with three equivalent O(8)Zr4 tetrahedra,  a cornercorner with one O(3)MgZr3 trigonal pyramid, and  an edgeedge with one O(3)MgZr3 trigonal pyramid. In the fourth O site, O(4) is bonded to one Ce(1), one Zr(2), one Zr(3), and one Zr(5) atom to form OCeZr3 tetrahedra that share corners with two equivalent O(4)CeZr3 tetrahedra, corners with two equivalent O(7)Zr4 tetrahedra, corners with four equivalent O(8)Zr4 tetrahedra,  a cornercorner with one O(3)MgZr3 trigonal pyramid,  an edgeedge with one O(7)Zr4 tetrahedra, and edges with three equivalent O(5)CeZr3 tetrahedra. In the fifth O site, O(5) is bonded to one Ce(1), one Zr(2), one Zr(3), and one Zr(5) atom to form distorted OCeZr3 tetrahedra that share corners with two equivalent O(5)CeZr3 tetrahedra, corners with two equivalent O(8)Zr4 tetrahedra, corners with four equivalent O(7)Zr4 tetrahedra,  a cornercorner with one O(3)MgZr3 trigonal pyramid,  an edgeedge with one O(8)Zr4 tetrahedra, and edges with three equivalent O(4)CeZr3 tetrahedra. In the sixth O site, O(6) is bonded in a 3-coordinate geometry to one Zr(1), one Zr(3), and one Zr(4) atom. In the seventh O site, O(7) is bonded to one Zr(2), one Zr(3), one Zr(4), and one Zr(5) atom to form OZr4 tetrahedra that share corners with two equivalent O(4)CeZr3 tetrahedra, corners with two equivalent O(7)Zr4 tetrahedra, corners with four equivalent O(5)CeZr3 tetrahedra, corners with three equivalent O(3)MgZr3 trigonal pyramids,  an edgeedge with one O(4)CeZr3 tetrahedra, and edges with three equivalent O(8)Zr4 tetrahedra. In the eighth O site, O(8) is bonded to one Zr(2), one Zr(3), one Zr(4), and one Zr(5) atom to form OZr4 tetrahedra that share corners with two equivalent O(5)CeZr3 tetrahedra, corners with two equivalent O(8)Zr4 tetrahedra, corners with four equivalent O(4)CeZr3 tetrahedra, corners with three equivalent O(3)MgZr3 trigonal pyramids,  an edgeedge with one O(5)CeZr3 tetrahedra, and edges with three equivalent O(7)Zr4 tetrahedra. is represented by the CIF card [CIF]
data_CeMgZr7O16
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.433
_cell_length_b   7.487
_cell_length_c   7.487
_cell_angle_alpha   89.246
_cell_angle_beta   86.416
_cell_angle_gamma   93.584
_symmetry_Int_Tables_number   1
_cell_volume   303.323
_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  0.000  0.969  0.969  1.0
  Mg  Mg1  1  0.000  0.229  0.229  1.0
  Zr  Zr2  1  0.500  0.277  0.277  1.0
  Zr  Zr3  1  0.004  0.964  0.515  1.0
  Zr  Zr4  1  0.502  0.257  0.783  1.0
  Zr  Zr5  1  0.996  0.515  0.964  1.0
  Zr  Zr6  1  0.498  0.783  0.257  1.0
  Zr  Zr7  1  0.000  0.506  0.506  1.0
  Zr  Zr8  1  0.500  0.749  0.749  1.0
  O  O9  1  0.208  0.273  0.006  1.0
  O  O10  1  0.295  0.012  0.251  1.0
  O  O11  1  0.792  0.006  0.273  1.0
  O  O12  1  0.705  0.251  0.012  1.0
  O  O13  1  0.133  0.245  0.466  1.0
  O  O14  1  0.288  0.008  0.728  1.0
  O  O15  1  0.755  0.006  0.733  1.0
  O  O16  1  0.645  0.282  0.515  1.0
  O  O17  1  0.245  0.733  0.006  1.0
  O  O18  1  0.355  0.515  0.282  1.0
  O  O19  1  0.867  0.466  0.245  1.0
  O  O20  1  0.712  0.728  0.008  1.0
  O  O21  1  0.228  0.751  0.494  1.0
  O  O22  1  0.275  0.490  0.731  1.0
  O  O23  1  0.772  0.494  0.751  1.0
  O  O24  1  0.725  0.731  0.490  1.0
[/CIF]
.