The crystal structure described by Mg14WCr crystallizes in the hexagonal P-6m2 space group. There are six inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Mg(4); four equivalent Mg(1); four Mg(3,3); and two equivalent Cr(1) atoms to form MgMg10Cr2 cuboctahedra that share corners with four equivalent W(1)Mg12 cuboctahedra, corners with six equivalent Mg(1)Mg10Cr2 cuboctahedra, edges with two equivalent Cr(1)Mg12 cuboctahedra, edges with four equivalent Mg(1)Mg10Cr2 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Cr(1)Mg12 cuboctahedra, and faces with four equivalent Mg(1)Mg10Cr2 cuboctahedra. In the second Mg site, Mg(2) is bonded in a distorted linear geometry to two equivalent Mg(4); four Mg(3,3); and two equivalent W(1) atoms. In the third Mg site, Mg(1) is bonded to two equivalent Mg(4); four Mg(1,1); four equivalent Mg(3); and two equivalent Cr(1) atoms to form MgMg10Cr2 cuboctahedra that share corners with four equivalent W(1)Mg12 cuboctahedra; corners with six equivalent Mg(1)Mg10Cr2 cuboctahedra; edges with two equivalent Cr(1)Mg12 cuboctahedra; edges with four Mg(1,1)Mg10Cr2 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Cr(1)Mg12 cuboctahedra; and faces with four Mg(1,1)Mg10Cr2 cuboctahedra. In the fourth Mg site, Mg(3) is bonded in a 12-coordinate geometry to two Mg(1,1); two equivalent Mg(2); two equivalent Mg(4); four Mg(3,3); one W(1); and one Cr(1) atom. In the fifth Mg site, Mg(3) is bonded in a 12-coordinate geometry to two Mg(1,1); two equivalent Mg(2); two equivalent Mg(4); four equivalent Mg(3); one W(1); and one Cr(1) atom. In the sixth Mg site, Mg(4) is bonded to three Mg(1,1); three equivalent Mg(2); and six Mg(3,3) atoms to form MgMg12 cuboctahedra that share corners with six equivalent Mg(4)Mg12 cuboctahedra; edges with six Mg(1,1)Mg10Cr2 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with three Mg(1,1)Mg10Cr2 cuboctahedra; faces with three equivalent W(1)Mg12 cuboctahedra; and faces with three equivalent Cr(1)Mg12 cuboctahedra. W(1) is bonded to six equivalent Mg(2) and six Mg(3,3) atoms to form WMg12 cuboctahedra that share corners with six equivalent W(1)Mg12 cuboctahedra; corners with twelve Mg(1,1)Mg10Cr2 cuboctahedra; faces with two equivalent Cr(1)Mg12 cuboctahedra; and faces with six equivalent Mg(4)Mg12 cuboctahedra. Cr(1) is bonded to six Mg(1,1) and six Mg(3,3) atoms to form CrMg12 cuboctahedra that share corners with six equivalent Cr(1)Mg12 cuboctahedra; edges with six Mg(1,1)Mg10Cr2 cuboctahedra; faces with two equivalent W(1)Mg12 cuboctahedra; faces with six Mg(1,1)Mg10Cr2 cuboctahedra; and faces with six equivalent Mg(4)Mg12 cuboctahedra. is represented by the CIF file [CIF]
data_Mg14CrW
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.259
_cell_length_b   6.259
_cell_length_c   9.948
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   120.000
_symmetry_Int_Tables_number   1
_cell_volume   337.515
_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
  Mg  Mg0  1  0.168  0.834  0.125  1.0
  Mg  Mg1  1  0.169  0.834  0.625  1.0
  Mg  Mg2  1  0.666  0.332  0.125  1.0
  Mg  Mg3  1  0.666  0.331  0.625  1.0
  Mg  Mg4  1  0.666  0.834  0.125  1.0
  Mg  Mg5  1  0.666  0.834  0.625  1.0
  Mg  Mg6  1  0.326  0.174  0.379  1.0
  Mg  Mg7  1  0.326  0.174  0.871  1.0
  Mg  Mg8  1  0.326  0.653  0.379  1.0
  Mg  Mg9  1  0.326  0.653  0.871  1.0
  Mg  Mg10  1  0.847  0.174  0.379  1.0
  Mg  Mg11  1  0.847  0.174  0.871  1.0
  Mg  Mg12  1  0.833  0.667  0.375  1.0
  Mg  Mg13  1  0.833  0.667  0.875  1.0
  Cr  Cr14  1  0.167  0.333  0.125  1.0
  W  W15  1  0.167  0.333  0.625  1.0
[/CIF]
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The crystal structure described by Mg14WCr crystallizes in the hexagonal P-6m2 space group. There are six inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Mg(4); four equivalent Mg(1); four Mg(3,3); and two equivalent Cr(1) atoms to form MgMg10Cr2 cuboctahedra that share corners with four equivalent W(1)Mg12 cuboctahedra, corners with six equivalent Mg(1)Mg10Cr2 cuboctahedra, edges with two equivalent Cr(1)Mg12 cuboctahedra, edges with four equivalent Mg(1)Mg10Cr2 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Cr(1)Mg12 cuboctahedra, and faces with four equivalent Mg(1)Mg10Cr2 cuboctahedra. In the second Mg site, Mg(2) is bonded in a distorted linear geometry to two equivalent Mg(4); four Mg(3,3); and two equivalent W(1) atoms. In the third Mg site, Mg(1) is bonded to two equivalent Mg(4); four Mg(1,1); four equivalent Mg(3); and two equivalent Cr(1) atoms to form MgMg10Cr2 cuboctahedra that share corners with four equivalent W(1)Mg12 cuboctahedra; corners with six equivalent Mg(1)Mg10Cr2 cuboctahedra; edges with two equivalent Cr(1)Mg12 cuboctahedra; edges with four Mg(1,1)Mg10Cr2 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Cr(1)Mg12 cuboctahedra; and faces with four Mg(1,1)Mg10Cr2 cuboctahedra. In the fourth Mg site, Mg(3) is bonded in a 12-coordinate geometry to two Mg(1,1); two equivalent Mg(2); two equivalent Mg(4); four Mg(3,3); one W(1); and one Cr(1) atom. In the fifth Mg site, Mg(3) is bonded in a 12-coordinate geometry to two Mg(1,1); two equivalent Mg(2); two equivalent Mg(4); four equivalent Mg(3); one W(1); and one Cr(1) atom. In the sixth Mg site, Mg(4) is bonded to three Mg(1,1); three equivalent Mg(2); and six Mg(3,3) atoms to form MgMg12 cuboctahedra that share corners with six equivalent Mg(4)Mg12 cuboctahedra; edges with six Mg(1,1)Mg10Cr2 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with three Mg(1,1)Mg10Cr2 cuboctahedra; faces with three equivalent W(1)Mg12 cuboctahedra; and faces with three equivalent Cr(1)Mg12 cuboctahedra. W(1) is bonded to six equivalent Mg(2) and six Mg(3,3) atoms to form WMg12 cuboctahedra that share corners with six equivalent W(1)Mg12 cuboctahedra; corners with twelve Mg(1,1)Mg10Cr2 cuboctahedra; faces with two equivalent Cr(1)Mg12 cuboctahedra; and faces with six equivalent Mg(4)Mg12 cuboctahedra. Cr(1) is bonded to six Mg(1,1) and six Mg(3,3) atoms to form CrMg12 cuboctahedra that share corners with six equivalent Cr(1)Mg12 cuboctahedra; edges with six Mg(1,1)Mg10Cr2 cuboctahedra; faces with two equivalent W(1)Mg12 cuboctahedra; faces with six Mg(1,1)Mg10Cr2 cuboctahedra; and faces with six equivalent Mg(4)Mg12 cuboctahedra. is represented by the CIF file [CIF]
data_Mg14CrW
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.259
_cell_length_b   6.259
_cell_length_c   9.948
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   120.000
_symmetry_Int_Tables_number   1
_cell_volume   337.515
_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
  Mg  Mg0  1  0.168  0.834  0.125  1.0
  Mg  Mg1  1  0.169  0.834  0.625  1.0
  Mg  Mg2  1  0.666  0.332  0.125  1.0
  Mg  Mg3  1  0.666  0.331  0.625  1.0
  Mg  Mg4  1  0.666  0.834  0.125  1.0
  Mg  Mg5  1  0.666  0.834  0.625  1.0
  Mg  Mg6  1  0.326  0.174  0.379  1.0
  Mg  Mg7  1  0.326  0.174  0.871  1.0
  Mg  Mg8  1  0.326  0.653  0.379  1.0
  Mg  Mg9  1  0.326  0.653  0.871  1.0
  Mg  Mg10  1  0.847  0.174  0.379  1.0
  Mg  Mg11  1  0.847  0.174  0.871  1.0
  Mg  Mg12  1  0.833  0.667  0.375  1.0
  Mg  Mg13  1  0.833  0.667  0.875  1.0
  Cr  Cr14  1  0.167  0.333  0.125  1.0
  W  W15  1  0.167  0.333  0.625  1.0
[/CIF]
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