The material structure described by Lu2(SO4)3 crystallizes in the trigonal R-3c space group. Lu(1) is bonded to three equivalent O(1) and three equivalent O(2) atoms to form LuO6 octahedra that share corners with six equivalent S(1)O4 tetrahedra. S(1) is bonded to two equivalent O(1) and two equivalent O(2) atoms to form SO4 tetrahedra that share corners with four equivalent Lu(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 23-27°. There are two inequivalent O sites. In the first O site, O(2) is bonded in a bent 150 degrees geometry to one Lu(1) and one S(1) atom. In the second O site, O(1) is bonded in a bent 150 degrees geometry to one Lu(1) and one S(1) atom. is represented by the Crystallographic Information File (CIF) [CIF]
data_Lu2(SO4)3
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   9.300
_cell_length_b   9.300
_cell_length_c   9.300
_cell_angle_alpha   57.837
_cell_angle_beta   57.837
_cell_angle_gamma   57.837
_symmetry_Int_Tables_number   1
_cell_volume   540.441
_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
  Lu  Lu0  1  0.644  0.644  0.644  1.0
  Lu  Lu1  1  0.144  0.144  0.144  1.0
  Lu  Lu2  1  0.856  0.856  0.856  1.0
  Lu  Lu3  1  0.356  0.356  0.356  1.0
  S  S4  1  0.250  0.537  0.963  1.0
  S  S5  1  0.463  0.037  0.750  1.0
  S  S6  1  0.037  0.750  0.463  1.0
  S  S7  1  0.963  0.250  0.537  1.0
  S  S8  1  0.537  0.963  0.250  1.0
  S  S9  1  0.750  0.463  0.037  1.0
  O  O10  1  0.008  0.774  0.622  1.0
  O  O11  1  0.774  0.622  0.008  1.0
  O  O12  1  0.410  0.563  0.802  1.0
  O  O13  1  0.274  0.508  0.122  1.0
  O  O14  1  0.622  0.008  0.774  1.0
  O  O15  1  0.492  0.878  0.726  1.0
  O  O16  1  0.198  0.590  0.437  1.0
  O  O17  1  0.090  0.698  0.937  1.0
  O  O18  1  0.302  0.063  0.910  1.0
  O  O19  1  0.437  0.198  0.590  1.0
  O  O20  1  0.063  0.910  0.302  1.0
  O  O21  1  0.878  0.726  0.492  1.0
  O  O22  1  0.122  0.274  0.508  1.0
  O  O23  1  0.937  0.090  0.698  1.0
  O  O24  1  0.563  0.802  0.410  1.0
  O  O25  1  0.698  0.937  0.090  1.0
  O  O26  1  0.910  0.302  0.063  1.0
  O  O27  1  0.802  0.410  0.563  1.0
  O  O28  1  0.508  0.122  0.274  1.0
  O  O29  1  0.378  0.992  0.226  1.0
  O  O30  1  0.726  0.492  0.878  1.0
  O  O31  1  0.590  0.437  0.198  1.0
  O  O32  1  0.226  0.378  0.992  1.0
  O  O33  1  0.992  0.226  0.378  1.0
[/CIF]
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The material structure described by Lu2(SO4)3 crystallizes in the trigonal R-3c space group. Lu(1) is bonded to three equivalent O(1) and three equivalent O(2) atoms to form LuO6 octahedra that share corners with six equivalent S(1)O4 tetrahedra. S(1) is bonded to two equivalent O(1) and two equivalent O(2) atoms to form SO4 tetrahedra that share corners with four equivalent Lu(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 23-27°. There are two inequivalent O sites. In the first O site, O(2) is bonded in a bent 150 degrees geometry to one Lu(1) and one S(1) atom. In the second O site, O(1) is bonded in a bent 150 degrees geometry to one Lu(1) and one S(1) atom. is represented by the Crystallographic Information File (CIF) [CIF]
data_Lu2(SO4)3
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   9.300
_cell_length_b   9.300
_cell_length_c   9.300
_cell_angle_alpha   57.837
_cell_angle_beta   57.837
_cell_angle_gamma   57.837
_symmetry_Int_Tables_number   1
_cell_volume   540.441
_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
  Lu  Lu0  1  0.644  0.644  0.644  1.0
  Lu  Lu1  1  0.144  0.144  0.144  1.0
  Lu  Lu2  1  0.856  0.856  0.856  1.0
  Lu  Lu3  1  0.356  0.356  0.356  1.0
  S  S4  1  0.250  0.537  0.963  1.0
  S  S5  1  0.463  0.037  0.750  1.0
  S  S6  1  0.037  0.750  0.463  1.0
  S  S7  1  0.963  0.250  0.537  1.0
  S  S8  1  0.537  0.963  0.250  1.0
  S  S9  1  0.750  0.463  0.037  1.0
  O  O10  1  0.008  0.774  0.622  1.0
  O  O11  1  0.774  0.622  0.008  1.0
  O  O12  1  0.410  0.563  0.802  1.0
  O  O13  1  0.274  0.508  0.122  1.0
  O  O14  1  0.622  0.008  0.774  1.0
  O  O15  1  0.492  0.878  0.726  1.0
  O  O16  1  0.198  0.590  0.437  1.0
  O  O17  1  0.090  0.698  0.937  1.0
  O  O18  1  0.302  0.063  0.910  1.0
  O  O19  1  0.437  0.198  0.590  1.0
  O  O20  1  0.063  0.910  0.302  1.0
  O  O21  1  0.878  0.726  0.492  1.0
  O  O22  1  0.122  0.274  0.508  1.0
  O  O23  1  0.937  0.090  0.698  1.0
  O  O24  1  0.563  0.802  0.410  1.0
  O  O25  1  0.698  0.937  0.090  1.0
  O  O26  1  0.910  0.302  0.063  1.0
  O  O27  1  0.802  0.410  0.563  1.0
  O  O28  1  0.508  0.122  0.274  1.0
  O  O29  1  0.378  0.992  0.226  1.0
  O  O30  1  0.726  0.492  0.878  1.0
  O  O31  1  0.590  0.437  0.198  1.0
  O  O32  1  0.226  0.378  0.992  1.0
  O  O33  1  0.992  0.226  0.378  1.0
[/CIF]
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