The material described by MgHo6WO12 is Corundum-derived structured and crystallizes in the trigonal R-3 space group. Mg(1) is bonded to six equivalent O(1) atoms to form MgO6 octahedra that share corners with six equivalent Ho(1)O6 pentagonal pyramids and edges with six equivalent Ho(1)O6 pentagonal pyramids. Ho(1) is bonded to three equivalent O(1) and three equivalent O(2) atoms to form distorted HoO6 pentagonal pyramids that share  a cornercorner with one Mg(1)O6 octahedra,  a cornercorner with one W(1)O6 octahedra, corners with four equivalent Ho(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 Ho(1)O6 pentagonal pyramids. The corner-sharing octahedral tilt angles range from 33-47°. W(1) is bonded to six equivalent O(2) atoms to form WO6 octahedra that share corners with six equivalent Ho(1)O6 pentagonal pyramids and edges with six equivalent Ho(1)O6 pentagonal pyramids. There are two inequivalent O sites. In the first O site, O(1) is bonded in a see-saw-like geometry to one Mg(1) and three equivalent Ho(1) atoms. In the second O site, O(2) is bonded to three equivalent Ho(1) and one W(1) atom to form a mixture of edge and corner-sharing OHo3W trigonal pyramids. is represented by the Crystallographic Information File (CIF) [CIF]
data_Ho6MgWO12
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.547
_cell_length_b   6.547
_cell_length_c   6.547
_cell_angle_alpha   93.086
_cell_angle_beta   93.086
_cell_angle_gamma   93.086
_symmetry_Int_Tables_number   1
_cell_volume   279.389
_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
  Ho  Ho0  1  0.078  0.264  0.563  1.0
  Ho  Ho1  1  0.736  0.437  0.922  1.0
  Ho  Ho2  1  0.437  0.922  0.736  1.0
  Ho  Ho3  1  0.563  0.078  0.264  1.0
  Ho  Ho4  1  0.264  0.563  0.078  1.0
  Ho  Ho5  1  0.922  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  0.408  0.191  0.541  1.0
  O  O9  1  0.191  0.541  0.408  1.0
  O  O10  1  0.541  0.408  0.191  1.0
  O  O11  1  0.592  0.809  0.459  1.0
  O  O12  1  0.809  0.459  0.592  1.0
  O  O13  1  0.459  0.592  0.809  1.0
  O  O14  1  0.078  0.930  0.697  1.0
  O  O15  1  0.303  0.922  0.070  1.0
  O  O16  1  0.070  0.303  0.922  1.0
  O  O17  1  0.930  0.697  0.078  1.0
  O  O18  1  0.697  0.078  0.930  1.0
  O  O19  1  0.922  0.070  0.303  1.0
[/CIF]
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The material described by MgHo6WO12 is Corundum-derived structured and crystallizes in the trigonal R-3 space group. Mg(1) is bonded to six equivalent O(1) atoms to form MgO6 octahedra that share corners with six equivalent Ho(1)O6 pentagonal pyramids and edges with six equivalent Ho(1)O6 pentagonal pyramids. Ho(1) is bonded to three equivalent O(1) and three equivalent O(2) atoms to form distorted HoO6 pentagonal pyramids that share  a cornercorner with one Mg(1)O6 octahedra,  a cornercorner with one W(1)O6 octahedra, corners with four equivalent Ho(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 Ho(1)O6 pentagonal pyramids. The corner-sharing octahedral tilt angles range from 33-47°. W(1) is bonded to six equivalent O(2) atoms to form WO6 octahedra that share corners with six equivalent Ho(1)O6 pentagonal pyramids and edges with six equivalent Ho(1)O6 pentagonal pyramids. There are two inequivalent O sites. In the first O site, O(1) is bonded in a see-saw-like geometry to one Mg(1) and three equivalent Ho(1) atoms. In the second O site, O(2) is bonded to three equivalent Ho(1) and one W(1) atom to form a mixture of edge and corner-sharing OHo3W trigonal pyramids. is represented by the Crystallographic Information File (CIF) [CIF]
data_Ho6MgWO12
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.547
_cell_length_b   6.547
_cell_length_c   6.547
_cell_angle_alpha   93.086
_cell_angle_beta   93.086
_cell_angle_gamma   93.086
_symmetry_Int_Tables_number   1
_cell_volume   279.389
_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
  Ho  Ho0  1  0.078  0.264  0.563  1.0
  Ho  Ho1  1  0.736  0.437  0.922  1.0
  Ho  Ho2  1  0.437  0.922  0.736  1.0
  Ho  Ho3  1  0.563  0.078  0.264  1.0
  Ho  Ho4  1  0.264  0.563  0.078  1.0
  Ho  Ho5  1  0.922  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  0.408  0.191  0.541  1.0
  O  O9  1  0.191  0.541  0.408  1.0
  O  O10  1  0.541  0.408  0.191  1.0
  O  O11  1  0.592  0.809  0.459  1.0
  O  O12  1  0.809  0.459  0.592  1.0
  O  O13  1  0.459  0.592  0.809  1.0
  O  O14  1  0.078  0.930  0.697  1.0
  O  O15  1  0.303  0.922  0.070  1.0
  O  O16  1  0.070  0.303  0.922  1.0
  O  O17  1  0.930  0.697  0.078  1.0
  O  O18  1  0.697  0.078  0.930  1.0
  O  O19  1  0.922  0.070  0.303  1.0
[/CIF]
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