The compound described by La5Re3MgO16 crystallizes in the triclinic P-1 space group. Mg(1) is bonded to two equivalent O(3), two equivalent O(7), and two equivalent O(8) atoms to form MgO6 octahedra that share corners with two equivalent Re(1)O6 octahedra and corners with four equivalent Re(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 22-32°. There are three inequivalent La sites. In the first La site, La(1) is bonded in a 7-coordinate geometry to one O(2), one O(3), one O(4), one O(5), one O(6), and two equivalent O(7) atoms. In the second La site, La(2) is bonded in a 6-coordinate geometry to one O(2), one O(3), one O(4), one O(5), one O(6), and one O(8) atom. In the third La site, La(3) is bonded in a body-centered cubic geometry to two equivalent O(1), two equivalent O(2), two equivalent O(5), and two equivalent O(6) atoms. There are two inequivalent Re sites. In the first Re site, Re(1) is bonded to one O(2), one O(3), one O(5), one O(6), and two equivalent O(1) atoms to form ReO6 octahedra that share  a cornercorner with one Mg(1)O6 octahedra and  an edgeedge with one Re(1)O6 octahedra. The corner-sharing octahedral tilt angles are 32°. In the second Re site, Re(2) is bonded to two equivalent O(4), two equivalent O(7), and two equivalent O(8) atoms to form ReO6 octahedra that share corners with four equivalent Mg(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 22-30°. There are eight inequivalent O sites. In the first O site, O(1) is bonded in a 3-coordinate geometry to one La(3) and two equivalent Re(1) atoms. In the second O site, O(2) is bonded to one La(1), one La(2), one La(3), and one Re(1) atom to form corner-sharing OLa3Re tetrahedra. In the third O site, O(3) is bonded in a 4-coordinate geometry to one Mg(1), one La(1), one La(2), and one Re(1) atom. In the fourth O site, O(4) is bonded in a 3-coordinate geometry to one La(1), one La(2), and one Re(2) atom. In the fifth O site, O(5) is bonded in a 4-coordinate geometry to one La(1), one La(2), one La(3), and one Re(1) atom. In the sixth O site, O(6) is bonded in a 4-coordinate geometry to one La(1), one La(2), one La(3), and one Re(1) atom. In the seventh O site, O(7) is bonded in a 4-coordinate geometry to one Mg(1), two equivalent La(1), and one Re(2) atom. In the eighth O site, O(8) is bonded in a 3-coordinate geometry to one Mg(1), one La(2), and one Re(2) atom. is represented by the CIF file [CIF]
data_La5MgRe3O16
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.675
_cell_length_b   5.677
_cell_length_c   10.263
_cell_angle_alpha   93.373
_cell_angle_beta   93.432
_cell_angle_gamma   90.723
_symmetry_Int_Tables_number   1
_cell_volume   329.415
_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
  La  La0  1  0.515  0.027  0.197  1.0
  La  La1  1  0.485  0.973  0.803  1.0
  La  La2  1  0.034  0.508  0.205  1.0
  La  La3  1  0.966  0.492  0.795  1.0
  La  La4  1  0.000  0.000  0.500  1.0
  Mg  Mg5  1  0.500  0.500  0.000  1.0
  Re  Re6  1  0.443  0.444  0.606  1.0
  Re  Re7  1  0.557  0.556  0.394  1.0
  Re  Re8  1  0.000  0.000  0.000  1.0
  O  O9  1  0.310  0.305  0.435  1.0
  O  O10  1  0.690  0.695  0.565  1.0
  O  O11  1  0.222  0.220  0.676  1.0
  O  O12  1  0.778  0.780  0.324  1.0
  O  O13  1  0.542  0.545  0.802  1.0
  O  O14  1  0.458  0.455  0.198  1.0
  O  O15  1  0.929  0.921  0.816  1.0
  O  O16  1  0.071  0.079  0.184  1.0
  O  O17  1  0.701  0.230  0.636  1.0
  O  O18  1  0.299  0.770  0.364  1.0
  O  O19  1  0.224  0.696  0.634  1.0
  O  O20  1  0.776  0.304  0.366  1.0
  O  O21  1  0.298  0.802  0.001  1.0
  O  O22  1  0.702  0.198  0.999  1.0
  O  O23  1  0.809  0.719  0.037  1.0
  O  O24  1  0.191  0.281  0.963  1.0
[/CIF]
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The compound described by La5Re3MgO16 crystallizes in the triclinic P-1 space group. Mg(1) is bonded to two equivalent O(3), two equivalent O(7), and two equivalent O(8) atoms to form MgO6 octahedra that share corners with two equivalent Re(1)O6 octahedra and corners with four equivalent Re(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 22-32°. There are three inequivalent La sites. In the first La site, La(1) is bonded in a 7-coordinate geometry to one O(2), one O(3), one O(4), one O(5), one O(6), and two equivalent O(7) atoms. In the second La site, La(2) is bonded in a 6-coordinate geometry to one O(2), one O(3), one O(4), one O(5), one O(6), and one O(8) atom. In the third La site, La(3) is bonded in a body-centered cubic geometry to two equivalent O(1), two equivalent O(2), two equivalent O(5), and two equivalent O(6) atoms. There are two inequivalent Re sites. In the first Re site, Re(1) is bonded to one O(2), one O(3), one O(5), one O(6), and two equivalent O(1) atoms to form ReO6 octahedra that share  a cornercorner with one Mg(1)O6 octahedra and  an edgeedge with one Re(1)O6 octahedra. The corner-sharing octahedral tilt angles are 32°. In the second Re site, Re(2) is bonded to two equivalent O(4), two equivalent O(7), and two equivalent O(8) atoms to form ReO6 octahedra that share corners with four equivalent Mg(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 22-30°. There are eight inequivalent O sites. In the first O site, O(1) is bonded in a 3-coordinate geometry to one La(3) and two equivalent Re(1) atoms. In the second O site, O(2) is bonded to one La(1), one La(2), one La(3), and one Re(1) atom to form corner-sharing OLa3Re tetrahedra. In the third O site, O(3) is bonded in a 4-coordinate geometry to one Mg(1), one La(1), one La(2), and one Re(1) atom. In the fourth O site, O(4) is bonded in a 3-coordinate geometry to one La(1), one La(2), and one Re(2) atom. In the fifth O site, O(5) is bonded in a 4-coordinate geometry to one La(1), one La(2), one La(3), and one Re(1) atom. In the sixth O site, O(6) is bonded in a 4-coordinate geometry to one La(1), one La(2), one La(3), and one Re(1) atom. In the seventh O site, O(7) is bonded in a 4-coordinate geometry to one Mg(1), two equivalent La(1), and one Re(2) atom. In the eighth O site, O(8) is bonded in a 3-coordinate geometry to one Mg(1), one La(2), and one Re(2) atom. is represented by the CIF file [CIF]
data_La5MgRe3O16
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.675
_cell_length_b   5.677
_cell_length_c   10.263
_cell_angle_alpha   93.373
_cell_angle_beta   93.432
_cell_angle_gamma   90.723
_symmetry_Int_Tables_number   1
_cell_volume   329.415
_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
  La  La0  1  0.515  0.027  0.197  1.0
  La  La1  1  0.485  0.973  0.803  1.0
  La  La2  1  0.034  0.508  0.205  1.0
  La  La3  1  0.966  0.492  0.795  1.0
  La  La4  1  0.000  0.000  0.500  1.0
  Mg  Mg5  1  0.500  0.500  0.000  1.0
  Re  Re6  1  0.443  0.444  0.606  1.0
  Re  Re7  1  0.557  0.556  0.394  1.0
  Re  Re8  1  0.000  0.000  0.000  1.0
  O  O9  1  0.310  0.305  0.435  1.0
  O  O10  1  0.690  0.695  0.565  1.0
  O  O11  1  0.222  0.220  0.676  1.0
  O  O12  1  0.778  0.780  0.324  1.0
  O  O13  1  0.542  0.545  0.802  1.0
  O  O14  1  0.458  0.455  0.198  1.0
  O  O15  1  0.929  0.921  0.816  1.0
  O  O16  1  0.071  0.079  0.184  1.0
  O  O17  1  0.701  0.230  0.636  1.0
  O  O18  1  0.299  0.770  0.364  1.0
  O  O19  1  0.224  0.696  0.634  1.0
  O  O20  1  0.776  0.304  0.366  1.0
  O  O21  1  0.298  0.802  0.001  1.0
  O  O22  1  0.702  0.198  0.999  1.0
  O  O23  1  0.809  0.719  0.037  1.0
  O  O24  1  0.191  0.281  0.963  1.0
[/CIF]
.