The structure described by LiMg6W crystallizes in the orthorhombic Amm2 space group. Li(1) is bonded to two equivalent Mg(3); four Mg(1,1); four Mg(2,2); and two equivalent W(1) atoms to form LiMg10W2 cuboctahedra that share corners with four equivalent W(1)Li2Mg10 cuboctahedra, corners with six equivalent Li(1)Mg10W2 cuboctahedra, edges with two equivalent W(1)Li2Mg10 cuboctahedra, edges with four equivalent Mg(3)Li2Mg10 cuboctahedra, faces with two equivalent Li(1)Mg10W2 cuboctahedra, faces with two equivalent Mg(3)Li2Mg10 cuboctahedra, and faces with two equivalent W(1)Li2Mg10 cuboctahedra. There are six inequivalent Mg sites. In the first Mg site, Mg(1) is bonded in a 12-coordinate geometry to two equivalent Li(1), two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), and two equivalent W(1) atoms. In the second Mg site, Mg(1) is bonded in a 12-coordinate geometry to two equivalent Li(1), two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), and two equivalent W(1) atoms. In the third Mg site, Mg(2) is bonded in a 12-coordinate geometry to two equivalent Li(1), two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), and two equivalent W(1) atoms. In the fourth Mg site, Mg(2) is bonded in a 12-coordinate geometry to two equivalent Li(1), two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), and two equivalent W(1) atoms. In the fifth Mg site, Mg(3) is bonded to two equivalent Li(1); two equivalent Mg(4); four equivalent Mg(1); and four Mg(2,2) atoms to form distorted MgLi2Mg10 cuboctahedra that share corners with six equivalent Mg(3)Li2Mg10 cuboctahedra, edges with four equivalent Li(1)Mg10W2 cuboctahedra, faces with two equivalent Li(1)Mg10W2 cuboctahedra, faces with two equivalent Mg(3)Li2Mg10 cuboctahedra, and faces with six equivalent W(1)Li2Mg10 cuboctahedra. In the sixth Mg site, Mg(4) is bonded in a distorted water-like geometry to two equivalent Mg(3); four Mg(1,1); four Mg(2,2); and two equivalent W(1) atoms. W(1) is bonded to two equivalent Li(1); two equivalent Mg(4); four Mg(1,1); and four Mg(2,2) atoms to form WLi2Mg10 cuboctahedra that share corners with four equivalent Li(1)Mg10W2 cuboctahedra, corners with six equivalent W(1)Li2Mg10 cuboctahedra, edges with two equivalent Li(1)Mg10W2 cuboctahedra, faces with two equivalent Li(1)Mg10W2 cuboctahedra, faces with two equivalent W(1)Li2Mg10 cuboctahedra, and faces with six equivalent Mg(3)Li2Mg10 cuboctahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_LiMg6W
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.106
_cell_length_b   6.106
_cell_length_c   4.849
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   117.471
_symmetry_Int_Tables_number   1
_cell_volume   160.415
_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
  Li  Li0  1  0.664  0.336  0.000  1.0
  Mg  Mg1  1  0.663  0.830  0.000  1.0
  Mg  Mg2  1  0.170  0.337  0.000  1.0
  Mg  Mg3  1  0.853  0.670  0.500  1.0
  Mg  Mg4  1  0.330  0.147  0.500  1.0
  Mg  Mg5  1  0.832  0.168  0.500  1.0
  Mg  Mg6  1  0.325  0.675  0.500  1.0
  W  W7  1  0.164  0.836  0.000  1.0
[/CIF]
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The structure described by LiMg6W crystallizes in the orthorhombic Amm2 space group. Li(1) is bonded to two equivalent Mg(3); four Mg(1,1); four Mg(2,2); and two equivalent W(1) atoms to form LiMg10W2 cuboctahedra that share corners with four equivalent W(1)Li2Mg10 cuboctahedra, corners with six equivalent Li(1)Mg10W2 cuboctahedra, edges with two equivalent W(1)Li2Mg10 cuboctahedra, edges with four equivalent Mg(3)Li2Mg10 cuboctahedra, faces with two equivalent Li(1)Mg10W2 cuboctahedra, faces with two equivalent Mg(3)Li2Mg10 cuboctahedra, and faces with two equivalent W(1)Li2Mg10 cuboctahedra. There are six inequivalent Mg sites. In the first Mg site, Mg(1) is bonded in a 12-coordinate geometry to two equivalent Li(1), two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), and two equivalent W(1) atoms. In the second Mg site, Mg(1) is bonded in a 12-coordinate geometry to two equivalent Li(1), two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), and two equivalent W(1) atoms. In the third Mg site, Mg(2) is bonded in a 12-coordinate geometry to two equivalent Li(1), two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), and two equivalent W(1) atoms. In the fourth Mg site, Mg(2) is bonded in a 12-coordinate geometry to two equivalent Li(1), two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), and two equivalent W(1) atoms. In the fifth Mg site, Mg(3) is bonded to two equivalent Li(1); two equivalent Mg(4); four equivalent Mg(1); and four Mg(2,2) atoms to form distorted MgLi2Mg10 cuboctahedra that share corners with six equivalent Mg(3)Li2Mg10 cuboctahedra, edges with four equivalent Li(1)Mg10W2 cuboctahedra, faces with two equivalent Li(1)Mg10W2 cuboctahedra, faces with two equivalent Mg(3)Li2Mg10 cuboctahedra, and faces with six equivalent W(1)Li2Mg10 cuboctahedra. In the sixth Mg site, Mg(4) is bonded in a distorted water-like geometry to two equivalent Mg(3); four Mg(1,1); four Mg(2,2); and two equivalent W(1) atoms. W(1) is bonded to two equivalent Li(1); two equivalent Mg(4); four Mg(1,1); and four Mg(2,2) atoms to form WLi2Mg10 cuboctahedra that share corners with four equivalent Li(1)Mg10W2 cuboctahedra, corners with six equivalent W(1)Li2Mg10 cuboctahedra, edges with two equivalent Li(1)Mg10W2 cuboctahedra, faces with two equivalent Li(1)Mg10W2 cuboctahedra, faces with two equivalent W(1)Li2Mg10 cuboctahedra, and faces with six equivalent Mg(3)Li2Mg10 cuboctahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_LiMg6W
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.106
_cell_length_b   6.106
_cell_length_c   4.849
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   117.471
_symmetry_Int_Tables_number   1
_cell_volume   160.415
_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
  Li  Li0  1  0.664  0.336  0.000  1.0
  Mg  Mg1  1  0.663  0.830  0.000  1.0
  Mg  Mg2  1  0.170  0.337  0.000  1.0
  Mg  Mg3  1  0.853  0.670  0.500  1.0
  Mg  Mg4  1  0.330  0.147  0.500  1.0
  Mg  Mg5  1  0.832  0.168  0.500  1.0
  Mg  Mg6  1  0.325  0.675  0.500  1.0
  W  W7  1  0.164  0.836  0.000  1.0
[/CIF]
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