The structure described by U4ZrO10 is Fluorite-derived structured and crystallizes in the trigonal R-3m space group. There are two inequivalent U sites. In the first U site, U(1) is bonded in a body-centered cubic geometry to one O(3), one O(4), three equivalent O(1), and three equivalent O(5) atoms. In the second U site, U(2) is bonded in a body-centered cubic geometry to one O(5), three equivalent O(3), and four equivalent O(2) atoms. Zr(1) is bonded in a body-centered cubic geometry to two equivalent O(1) and six equivalent O(4) atoms. There are five inequivalent O sites. In the first O site, O(1) is bonded to three equivalent U(1) and one Zr(1) atom to form OZrU3 tetrahedra that share corners with three equivalent O(3)U4 tetrahedra, corners with three equivalent O(5)U4 tetrahedra, corners with three equivalent O(4)Zr3U tetrahedra, corners with seven equivalent O(1)ZrU3 tetrahedra, edges with three equivalent O(5)U4 tetrahedra, and edges with three equivalent O(4)Zr3U tetrahedra. In the second O site, O(2) is bonded to four equivalent U(2) atoms to form a mixture of edge and corner-sharing OU4 tetrahedra. In the third O site, O(3) is bonded to one U(1) and three equivalent U(2) atoms to form OU4 tetrahedra that share  a cornercorner with one O(4)Zr3U tetrahedra, corners with three equivalent O(1)ZrU3 tetrahedra, corners with six equivalent O(2)U4 tetrahedra, corners with six equivalent O(3)U4 tetrahedra, edges with three equivalent O(2)U4 tetrahedra, and edges with three equivalent O(5)U4 tetrahedra. In the fourth O site, O(4) is bonded to one U(1) and three equivalent Zr(1) atoms to form OZr3U tetrahedra that share  a cornercorner with one O(3)U4 tetrahedra, corners with three equivalent O(5)U4 tetrahedra, corners with three equivalent O(1)ZrU3 tetrahedra, corners with nine equivalent O(4)Zr3U tetrahedra, edges with three equivalent O(4)Zr3U tetrahedra, and edges with three equivalent O(1)ZrU3 tetrahedra. In the fifth O site, O(5) is bonded to one U(2) and three equivalent U(1) atoms to form OU4 tetrahedra that share corners with three equivalent O(4)Zr3U tetrahedra, corners with three equivalent O(1)ZrU3 tetrahedra, corners with four equivalent O(2)U4 tetrahedra, corners with six equivalent O(5)U4 tetrahedra, edges with three equivalent O(3)U4 tetrahedra, and edges with three equivalent O(1)ZrU3 tetrahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_ZrU4O10
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   15.612
_cell_length_b   15.612
_cell_length_c   15.612
_cell_angle_alpha   13.997
_cell_angle_beta   13.997
_cell_angle_gamma   13.997
_symmetry_Int_Tables_number   1
_cell_volume   193.730
_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
  Zr  Zr0  1  0.000  0.000  0.000  1.0
  U  U1  1  0.601  0.601  0.601  1.0
  U  U2  1  0.200  0.200  0.200  1.0
  U  U3  1  0.800  0.800  0.800  1.0
  U  U4  1  0.399  0.399  0.399  1.0
  O  O5  1  0.048  0.048  0.048  1.0
  O  O6  1  0.850  0.850  0.850  1.0
  O  O7  1  0.449  0.449  0.449  1.0
  O  O8  1  0.652  0.652  0.652  1.0
  O  O9  1  0.251  0.251  0.251  1.0
  O  O10  1  0.348  0.348  0.348  1.0
  O  O11  1  0.150  0.150  0.150  1.0
  O  O12  1  0.749  0.749  0.749  1.0
  O  O13  1  0.952  0.952  0.952  1.0
  O  O14  1  0.551  0.551  0.551  1.0
[/CIF]
.
The structure described by U4ZrO10 is Fluorite-derived structured and crystallizes in the trigonal R-3m space group. There are two inequivalent U sites. In the first U site, U(1) is bonded in a body-centered cubic geometry to one O(3), one O(4), three equivalent O(1), and three equivalent O(5) atoms. In the second U site, U(2) is bonded in a body-centered cubic geometry to one O(5), three equivalent O(3), and four equivalent O(2) atoms. Zr(1) is bonded in a body-centered cubic geometry to two equivalent O(1) and six equivalent O(4) atoms. There are five inequivalent O sites. In the first O site, O(1) is bonded to three equivalent U(1) and one Zr(1) atom to form OZrU3 tetrahedra that share corners with three equivalent O(3)U4 tetrahedra, corners with three equivalent O(5)U4 tetrahedra, corners with three equivalent O(4)Zr3U tetrahedra, corners with seven equivalent O(1)ZrU3 tetrahedra, edges with three equivalent O(5)U4 tetrahedra, and edges with three equivalent O(4)Zr3U tetrahedra. In the second O site, O(2) is bonded to four equivalent U(2) atoms to form a mixture of edge and corner-sharing OU4 tetrahedra. In the third O site, O(3) is bonded to one U(1) and three equivalent U(2) atoms to form OU4 tetrahedra that share  a cornercorner with one O(4)Zr3U tetrahedra, corners with three equivalent O(1)ZrU3 tetrahedra, corners with six equivalent O(2)U4 tetrahedra, corners with six equivalent O(3)U4 tetrahedra, edges with three equivalent O(2)U4 tetrahedra, and edges with three equivalent O(5)U4 tetrahedra. In the fourth O site, O(4) is bonded to one U(1) and three equivalent Zr(1) atoms to form OZr3U tetrahedra that share  a cornercorner with one O(3)U4 tetrahedra, corners with three equivalent O(5)U4 tetrahedra, corners with three equivalent O(1)ZrU3 tetrahedra, corners with nine equivalent O(4)Zr3U tetrahedra, edges with three equivalent O(4)Zr3U tetrahedra, and edges with three equivalent O(1)ZrU3 tetrahedra. In the fifth O site, O(5) is bonded to one U(2) and three equivalent U(1) atoms to form OU4 tetrahedra that share corners with three equivalent O(4)Zr3U tetrahedra, corners with three equivalent O(1)ZrU3 tetrahedra, corners with four equivalent O(2)U4 tetrahedra, corners with six equivalent O(5)U4 tetrahedra, edges with three equivalent O(3)U4 tetrahedra, and edges with three equivalent O(1)ZrU3 tetrahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_ZrU4O10
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   15.612
_cell_length_b   15.612
_cell_length_c   15.612
_cell_angle_alpha   13.997
_cell_angle_beta   13.997
_cell_angle_gamma   13.997
_symmetry_Int_Tables_number   1
_cell_volume   193.730
_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
  Zr  Zr0  1  0.000  0.000  0.000  1.0
  U  U1  1  0.601  0.601  0.601  1.0
  U  U2  1  0.200  0.200  0.200  1.0
  U  U3  1  0.800  0.800  0.800  1.0
  U  U4  1  0.399  0.399  0.399  1.0
  O  O5  1  0.048  0.048  0.048  1.0
  O  O6  1  0.850  0.850  0.850  1.0
  O  O7  1  0.449  0.449  0.449  1.0
  O  O8  1  0.652  0.652  0.652  1.0
  O  O9  1  0.251  0.251  0.251  1.0
  O  O10  1  0.348  0.348  0.348  1.0
  O  O11  1  0.150  0.150  0.150  1.0
  O  O12  1  0.749  0.749  0.749  1.0
  O  O13  1  0.952  0.952  0.952  1.0
  O  O14  1  0.551  0.551  0.551  1.0
[/CIF]
.