The compound described by MgLu6WO12 is Corundum-derived structured and crystallizes in the trigonal R-3 space group. Mg(1) is bonded to six equivalent O(2) atoms to form MgO6 octahedra that share corners with six equivalent Lu(1)O6 pentagonal pyramids and edges with six equivalent Lu(1)O6 pentagonal pyramids. Lu(1) is bonded to three equivalent O(1) and three equivalent O(2) atoms to form distorted LuO6 pentagonal pyramids that share  a cornercorner with one Mg(1)O6 octahedra,  a cornercorner with one W(1)O6 octahedra, corners with four equivalent Lu(1)O6 pentagonal pyramids,  an edgeedge with one Mg(1)O6 octahedra,  an edgeedge with one W(1)O6 octahedra, and edges with four equivalent Lu(1)O6 pentagonal pyramids. The corner-sharing octahedral tilt angles range from 34-48°. W(1) is bonded to six equivalent O(1) atoms to form WO6 octahedra that share corners with six equivalent Lu(1)O6 pentagonal pyramids and edges with six equivalent Lu(1)O6 pentagonal pyramids. There are two inequivalent O sites. In the first O site, O(1) is bonded to three equivalent Lu(1) and one W(1) atom to form a mixture of distorted corner and edge-sharing OLu3W trigonal pyramids. In the second O site, O(2) is bonded in a see-saw-like geometry to one Mg(1) and three equivalent Lu(1) atoms. is represented by the CIF card [CIF]
data_Lu6MgWO12
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.443
_cell_length_b   6.443
_cell_length_c   6.443
_cell_angle_alpha   92.934
_cell_angle_beta   92.934
_cell_angle_gamma   92.934
_symmetry_Int_Tables_number   1
_cell_volume   266.343
_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
  Lu  Lu0  1  0.079  0.264  0.563  1.0
  Lu  Lu1  1  0.437  0.921  0.736  1.0
  Lu  Lu2  1  0.264  0.563  0.079  1.0
  Lu  Lu3  1  0.736  0.437  0.921  1.0
  Lu  Lu4  1  0.563  0.079  0.264  1.0
  Lu  Lu5  1  0.921  0.736  0.437  1.0
  Mg  Mg6  1  0.500  0.500  0.500  1.0
  W  W7  1  0.000  0.000  0.000  1.0
  O  O8  1  0.081  0.929  0.693  1.0
  O  O9  1  0.071  0.307  0.919  1.0
  O  O10  1  0.189  0.539  0.405  1.0
  O  O11  1  0.307  0.919  0.071  1.0
  O  O12  1  0.461  0.595  0.811  1.0
  O  O13  1  0.405  0.189  0.539  1.0
  O  O14  1  0.595  0.811  0.461  1.0
  O  O15  1  0.539  0.405  0.189  1.0
  O  O16  1  0.693  0.081  0.929  1.0
  O  O17  1  0.811  0.461  0.595  1.0
  O  O18  1  0.929  0.693  0.081  1.0
  O  O19  1  0.919  0.071  0.307  1.0
[/CIF]
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The compound described by MgLu6WO12 is Corundum-derived structured and crystallizes in the trigonal R-3 space group. Mg(1) is bonded to six equivalent O(2) atoms to form MgO6 octahedra that share corners with six equivalent Lu(1)O6 pentagonal pyramids and edges with six equivalent Lu(1)O6 pentagonal pyramids. Lu(1) is bonded to three equivalent O(1) and three equivalent O(2) atoms to form distorted LuO6 pentagonal pyramids that share  a cornercorner with one Mg(1)O6 octahedra,  a cornercorner with one W(1)O6 octahedra, corners with four equivalent Lu(1)O6 pentagonal pyramids,  an edgeedge with one Mg(1)O6 octahedra,  an edgeedge with one W(1)O6 octahedra, and edges with four equivalent Lu(1)O6 pentagonal pyramids. The corner-sharing octahedral tilt angles range from 34-48°. W(1) is bonded to six equivalent O(1) atoms to form WO6 octahedra that share corners with six equivalent Lu(1)O6 pentagonal pyramids and edges with six equivalent Lu(1)O6 pentagonal pyramids. There are two inequivalent O sites. In the first O site, O(1) is bonded to three equivalent Lu(1) and one W(1) atom to form a mixture of distorted corner and edge-sharing OLu3W trigonal pyramids. In the second O site, O(2) is bonded in a see-saw-like geometry to one Mg(1) and three equivalent Lu(1) atoms. is represented by the CIF card [CIF]
data_Lu6MgWO12
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.443
_cell_length_b   6.443
_cell_length_c   6.443
_cell_angle_alpha   92.934
_cell_angle_beta   92.934
_cell_angle_gamma   92.934
_symmetry_Int_Tables_number   1
_cell_volume   266.343
_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
  Lu  Lu0  1  0.079  0.264  0.563  1.0
  Lu  Lu1  1  0.437  0.921  0.736  1.0
  Lu  Lu2  1  0.264  0.563  0.079  1.0
  Lu  Lu3  1  0.736  0.437  0.921  1.0
  Lu  Lu4  1  0.563  0.079  0.264  1.0
  Lu  Lu5  1  0.921  0.736  0.437  1.0
  Mg  Mg6  1  0.500  0.500  0.500  1.0
  W  W7  1  0.000  0.000  0.000  1.0
  O  O8  1  0.081  0.929  0.693  1.0
  O  O9  1  0.071  0.307  0.919  1.0
  O  O10  1  0.189  0.539  0.405  1.0
  O  O11  1  0.307  0.919  0.071  1.0
  O  O12  1  0.461  0.595  0.811  1.0
  O  O13  1  0.405  0.189  0.539  1.0
  O  O14  1  0.595  0.811  0.461  1.0
  O  O15  1  0.539  0.405  0.189  1.0
  O  O16  1  0.693  0.081  0.929  1.0
  O  O17  1  0.811  0.461  0.595  1.0
  O  O18  1  0.929  0.693  0.081  1.0
  O  O19  1  0.919  0.071  0.307  1.0
[/CIF]
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