The compound described by Gd2O3 crystallizes in the monoclinic C2/m space group. There are three inequivalent Gd sites. In the first Gd site, Gd(1) is bonded to one O(1), one O(2), two equivalent O(3), and two equivalent O(5) atoms to form a mixture of distorted corner and edge-sharing GdO6 octahedra. The corner-sharing octahedra are not tilted. In the second Gd site, Gd(2) is bonded in a 7-coordinate geometry to one O(4), one O(5), two equivalent O(1), and three equivalent O(2) atoms. In the third Gd site, Gd(3) is bonded in a 7-coordinate geometry to two equivalent O(1), two equivalent O(3), and three equivalent O(4) atoms. There are five inequivalent O sites. In the first O site, O(1) is bonded to one Gd(1), two equivalent Gd(2), and two equivalent Gd(3) atoms to form distorted OGd5 square pyramids that share corners with two equivalent O(3)Gd4 tetrahedra, corners with five equivalent O(2)Gd4 tetrahedra, edges with two equivalent O(5)Gd6 octahedra, edges with two equivalent O(1)Gd5 square pyramids,  an edgeedge with one O(2)Gd4 tetrahedra, and edges with two equivalent O(3)Gd4 tetrahedra. In the second O site, O(2) is bonded to one Gd(1) and three equivalent Gd(2) atoms to form OGd4 tetrahedra that share  a cornercorner with one O(5)Gd6 octahedra, corners with five equivalent O(1)Gd5 square pyramids, corners with two equivalent O(2)Gd4 tetrahedra, corners with two equivalent O(3)Gd4 tetrahedra, edges with two equivalent O(5)Gd6 octahedra,  an edgeedge with one O(1)Gd5 square pyramid, and edges with two equivalent O(2)Gd4 tetrahedra. The corner-sharing octahedral tilt angles are 50°. In the third O site, O(3) is bonded to two equivalent Gd(1) and two equivalent Gd(3) atoms to form OGd4 tetrahedra that share corners with two equivalent O(5)Gd6 octahedra, corners with two equivalent O(1)Gd5 square pyramids, corners with two equivalent O(2)Gd4 tetrahedra, corners with two equivalent O(3)Gd4 tetrahedra,  an edgeedge with one O(5)Gd6 octahedra, edges with two equivalent O(1)Gd5 square pyramids, and  an edgeedge with one O(3)Gd4 tetrahedra. The corner-sharing octahedral tilt angles are 14°. In the fourth O site, O(4) is bonded in a 4-coordinate geometry to one Gd(2) and three equivalent Gd(3) atoms. In the fifth O site, O(5) is bonded to two equivalent Gd(2) and four equivalent Gd(1) atoms to form OGd6 octahedra that share corners with two equivalent O(2)Gd4 tetrahedra, corners with four equivalent O(3)Gd4 tetrahedra, edges with two equivalent O(5)Gd6 octahedra, edges with four equivalent O(1)Gd5 square pyramids, edges with two equivalent O(3)Gd4 tetrahedra, and edges with four equivalent O(2)Gd4 tetrahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_Gd2O3
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   3.563
_cell_length_b   7.289
_cell_length_c   8.762
_cell_angle_alpha   99.753
_cell_angle_beta   90.000
_cell_angle_gamma   104.145
_symmetry_Int_Tables_number   1
_cell_volume   217.249
_cell_formula_units_Z   3
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
  Gd  Gd0  1  0.967  0.934  0.187  1.0
  Gd  Gd1  1  0.309  0.619  0.862  1.0
  Gd  Gd2  1  0.691  0.381  0.138  1.0
  Gd  Gd3  1  0.365  0.730  0.512  1.0
  Gd  Gd4  1  0.033  0.066  0.813  1.0
  Gd  Gd5  1  0.635  0.270  0.488  1.0
  O  O6  1  0.872  0.744  0.717  1.0
  O  O7  1  0.825  0.650  0.029  1.0
  O  O8  1  0.472  0.944  0.344  1.0
  O  O9  1  0.205  0.411  0.624  1.0
  O  O10  1  0.528  0.056  0.656  1.0
  O  O11  1  0.128  0.256  0.283  1.0
  O  O12  1  0.500  0.000  0.000  1.0
  O  O13  1  0.175  0.350  0.971  1.0
  O  O14  1  0.795  0.589  0.376  1.0
[/CIF]
.
The compound described by Gd2O3 crystallizes in the monoclinic C2/m space group. There are three inequivalent Gd sites. In the first Gd site, Gd(1) is bonded to one O(1), one O(2), two equivalent O(3), and two equivalent O(5) atoms to form a mixture of distorted corner and edge-sharing GdO6 octahedra. The corner-sharing octahedra are not tilted. In the second Gd site, Gd(2) is bonded in a 7-coordinate geometry to one O(4), one O(5), two equivalent O(1), and three equivalent O(2) atoms. In the third Gd site, Gd(3) is bonded in a 7-coordinate geometry to two equivalent O(1), two equivalent O(3), and three equivalent O(4) atoms. There are five inequivalent O sites. In the first O site, O(1) is bonded to one Gd(1), two equivalent Gd(2), and two equivalent Gd(3) atoms to form distorted OGd5 square pyramids that share corners with two equivalent O(3)Gd4 tetrahedra, corners with five equivalent O(2)Gd4 tetrahedra, edges with two equivalent O(5)Gd6 octahedra, edges with two equivalent O(1)Gd5 square pyramids,  an edgeedge with one O(2)Gd4 tetrahedra, and edges with two equivalent O(3)Gd4 tetrahedra. In the second O site, O(2) is bonded to one Gd(1) and three equivalent Gd(2) atoms to form OGd4 tetrahedra that share  a cornercorner with one O(5)Gd6 octahedra, corners with five equivalent O(1)Gd5 square pyramids, corners with two equivalent O(2)Gd4 tetrahedra, corners with two equivalent O(3)Gd4 tetrahedra, edges with two equivalent O(5)Gd6 octahedra,  an edgeedge with one O(1)Gd5 square pyramid, and edges with two equivalent O(2)Gd4 tetrahedra. The corner-sharing octahedral tilt angles are 50°. In the third O site, O(3) is bonded to two equivalent Gd(1) and two equivalent Gd(3) atoms to form OGd4 tetrahedra that share corners with two equivalent O(5)Gd6 octahedra, corners with two equivalent O(1)Gd5 square pyramids, corners with two equivalent O(2)Gd4 tetrahedra, corners with two equivalent O(3)Gd4 tetrahedra,  an edgeedge with one O(5)Gd6 octahedra, edges with two equivalent O(1)Gd5 square pyramids, and  an edgeedge with one O(3)Gd4 tetrahedra. The corner-sharing octahedral tilt angles are 14°. In the fourth O site, O(4) is bonded in a 4-coordinate geometry to one Gd(2) and three equivalent Gd(3) atoms. In the fifth O site, O(5) is bonded to two equivalent Gd(2) and four equivalent Gd(1) atoms to form OGd6 octahedra that share corners with two equivalent O(2)Gd4 tetrahedra, corners with four equivalent O(3)Gd4 tetrahedra, edges with two equivalent O(5)Gd6 octahedra, edges with four equivalent O(1)Gd5 square pyramids, edges with two equivalent O(3)Gd4 tetrahedra, and edges with four equivalent O(2)Gd4 tetrahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_Gd2O3
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   3.563
_cell_length_b   7.289
_cell_length_c   8.762
_cell_angle_alpha   99.753
_cell_angle_beta   90.000
_cell_angle_gamma   104.145
_symmetry_Int_Tables_number   1
_cell_volume   217.249
_cell_formula_units_Z   3
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
  Gd  Gd0  1  0.967  0.934  0.187  1.0
  Gd  Gd1  1  0.309  0.619  0.862  1.0
  Gd  Gd2  1  0.691  0.381  0.138  1.0
  Gd  Gd3  1  0.365  0.730  0.512  1.0
  Gd  Gd4  1  0.033  0.066  0.813  1.0
  Gd  Gd5  1  0.635  0.270  0.488  1.0
  O  O6  1  0.872  0.744  0.717  1.0
  O  O7  1  0.825  0.650  0.029  1.0
  O  O8  1  0.472  0.944  0.344  1.0
  O  O9  1  0.205  0.411  0.624  1.0
  O  O10  1  0.528  0.056  0.656  1.0
  O  O11  1  0.128  0.256  0.283  1.0
  O  O12  1  0.500  0.000  0.000  1.0
  O  O13  1  0.175  0.350  0.971  1.0
  O  O14  1  0.795  0.589  0.376  1.0
[/CIF]
.