The crystal structure described by Na5GdO4 is Ilmenite-like structured and crystallizes in the orthorhombic Pmmn space group. There are two inequivalent Na sites. In the first Na site, Na(1) is bonded to two equivalent O(1) and two equivalent O(2) atoms to form distorted NaO4 trigonal pyramids that share corners with two equivalent Na(2)O4 tetrahedra, corners with two equivalent Gd(1)O4 tetrahedra, corners with eight equivalent Na(1)O4 trigonal pyramids,  an edgeedge with one Na(2)O4 tetrahedra,  an edgeedge with one Gd(1)O4 tetrahedra, and edges with two equivalent Na(1)O4 trigonal pyramids. In the second Na site, Na(2) is bonded to two equivalent O(1) and two equivalent O(2) atoms to form NaO4 tetrahedra that share corners with four equivalent Gd(1)O4 tetrahedra, corners with eight equivalent Na(1)O4 trigonal pyramids, and edges with four equivalent Na(1)O4 trigonal pyramids. Gd(1) is bonded to two equivalent O(1) and two equivalent O(2) atoms to form GdO4 tetrahedra that share corners with four equivalent Na(2)O4 tetrahedra, corners with eight equivalent Na(1)O4 trigonal pyramids, and edges with four equivalent Na(1)O4 trigonal pyramids. There are two inequivalent O sites. In the first O site, O(1) is bonded to one Na(2), four equivalent Na(1), and one Gd(1) atom to form a mixture of edge and corner-sharing ONa5Gd octahedra. The corner-sharing octahedral tilt angles range from 60-64°. In the second O site, O(2) is bonded in a 6-coordinate geometry to one Na(2), four equivalent Na(1), and one Gd(1) atom. is represented by the CIF file [CIF]
data_Na5GdO4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.596
_cell_length_b   7.598
_cell_length_c   7.917
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   336.625
_cell_formula_units_Z   2
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
  Na  Na0  1  0.255  0.761  0.808  1.0
  Na  Na1  1  0.255  0.239  0.808  1.0
  Na  Na2  1  0.795  0.500  0.000  1.0
  Na  Na3  1  0.255  0.239  0.192  1.0
  Na  Na4  1  0.255  0.761  0.192  1.0
  Na  Na5  1  0.745  0.261  0.308  1.0
  Na  Na6  1  0.745  0.739  0.308  1.0
  Na  Na7  1  0.205  0.000  0.500  1.0
  Na  Na8  1  0.745  0.261  0.692  1.0
  Na  Na9  1  0.745  0.739  0.692  1.0
  Gd  Gd10  1  0.779  0.000  0.000  1.0
  Gd  Gd11  1  0.221  0.500  0.500  1.0
  O  O12  1  0.988  0.000  0.765  1.0
  O  O13  1  0.569  0.239  0.000  1.0
  O  O14  1  0.569  0.761  0.000  1.0
  O  O15  1  0.988  0.000  0.235  1.0
  O  O16  1  0.012  0.500  0.265  1.0
  O  O17  1  0.431  0.261  0.500  1.0
  O  O18  1  0.431  0.739  0.500  1.0
  O  O19  1  0.012  0.500  0.735  1.0
[/CIF]
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The crystal structure described by Na5GdO4 is Ilmenite-like structured and crystallizes in the orthorhombic Pmmn space group. There are two inequivalent Na sites. In the first Na site, Na(1) is bonded to two equivalent O(1) and two equivalent O(2) atoms to form distorted NaO4 trigonal pyramids that share corners with two equivalent Na(2)O4 tetrahedra, corners with two equivalent Gd(1)O4 tetrahedra, corners with eight equivalent Na(1)O4 trigonal pyramids,  an edgeedge with one Na(2)O4 tetrahedra,  an edgeedge with one Gd(1)O4 tetrahedra, and edges with two equivalent Na(1)O4 trigonal pyramids. In the second Na site, Na(2) is bonded to two equivalent O(1) and two equivalent O(2) atoms to form NaO4 tetrahedra that share corners with four equivalent Gd(1)O4 tetrahedra, corners with eight equivalent Na(1)O4 trigonal pyramids, and edges with four equivalent Na(1)O4 trigonal pyramids. Gd(1) is bonded to two equivalent O(1) and two equivalent O(2) atoms to form GdO4 tetrahedra that share corners with four equivalent Na(2)O4 tetrahedra, corners with eight equivalent Na(1)O4 trigonal pyramids, and edges with four equivalent Na(1)O4 trigonal pyramids. There are two inequivalent O sites. In the first O site, O(1) is bonded to one Na(2), four equivalent Na(1), and one Gd(1) atom to form a mixture of edge and corner-sharing ONa5Gd octahedra. The corner-sharing octahedral tilt angles range from 60-64°. In the second O site, O(2) is bonded in a 6-coordinate geometry to one Na(2), four equivalent Na(1), and one Gd(1) atom. is represented by the CIF file [CIF]
data_Na5GdO4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.596
_cell_length_b   7.598
_cell_length_c   7.917
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   336.625
_cell_formula_units_Z   2
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
  Na  Na0  1  0.255  0.761  0.808  1.0
  Na  Na1  1  0.255  0.239  0.808  1.0
  Na  Na2  1  0.795  0.500  0.000  1.0
  Na  Na3  1  0.255  0.239  0.192  1.0
  Na  Na4  1  0.255  0.761  0.192  1.0
  Na  Na5  1  0.745  0.261  0.308  1.0
  Na  Na6  1  0.745  0.739  0.308  1.0
  Na  Na7  1  0.205  0.000  0.500  1.0
  Na  Na8  1  0.745  0.261  0.692  1.0
  Na  Na9  1  0.745  0.739  0.692  1.0
  Gd  Gd10  1  0.779  0.000  0.000  1.0
  Gd  Gd11  1  0.221  0.500  0.500  1.0
  O  O12  1  0.988  0.000  0.765  1.0
  O  O13  1  0.569  0.239  0.000  1.0
  O  O14  1  0.569  0.761  0.000  1.0
  O  O15  1  0.988  0.000  0.235  1.0
  O  O16  1  0.012  0.500  0.265  1.0
  O  O17  1  0.431  0.261  0.500  1.0
  O  O18  1  0.431  0.739  0.500  1.0
  O  O19  1  0.012  0.500  0.735  1.0
[/CIF]
.