The crystal structure described by SrMg14Bi crystallizes in the hexagonal P-6m2 space group. Sr(1) is bonded to six Mg(1,1) and six Mg(3,3,3) atoms to form SrMg12 cuboctahedra that share corners with six equivalent Sr(1)Mg12 cuboctahedra; corners with twelve Mg(2,2)Mg10Bi2 cuboctahedra; edges with six Mg(1,1)Sr2Mg10 cuboctahedra; edges with twelve Mg(3,3,3)SrMg10Bi cuboctahedra; faces with two equivalent Bi(1)Mg12 cuboctahedra; faces with six equivalent Mg(4)Mg12 cuboctahedra; faces with six Mg(1,1)Sr2Mg10 cuboctahedra; and faces with six Mg(3,3,3)SrMg10Bi cuboctahedra. There are eight inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Sr(1); two equivalent Mg(4); four Mg(1,1); and four Mg(3,3) atoms to form distorted MgSr2Mg10 cuboctahedra that share corners with four equivalent Bi(1)Mg12 cuboctahedra; corners with six equivalent Mg(1)Sr2Mg10 cuboctahedra; corners with eight equivalent Mg(2)Mg10Bi2 cuboctahedra; edges with two equivalent Sr(1)Mg12 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with four Mg(1,1)Sr2Mg10 cuboctahedra; edges with eight Mg(3,3)SrMg10Bi cuboctahedra; faces with two equivalent Sr(1)Mg12 cuboctahedra; faces with two equivalent Mg(2)Mg10Bi2 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with four Mg(1,1)Sr2Mg10 cuboctahedra; and faces with ten Mg(3,3,3)SrMg10Bi cuboctahedra. In the second Mg site, Mg(2) is bonded to two equivalent Mg(4); four equivalent Mg(2); four Mg(3,3); and two equivalent Bi(1) atoms to form distorted MgMg10Bi2 cuboctahedra that share corners with four equivalent Sr(1)Mg12 cuboctahedra; corners with six equivalent Mg(2)Mg10Bi2 cuboctahedra; corners with eight Mg(1,1)Sr2Mg10 cuboctahedra; edges with two equivalent Bi(1)Mg12 cuboctahedra; edges with four equivalent Mg(2)Mg10Bi2 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with eight Mg(3,3)SrMg10Bi cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Mg(1)Sr2Mg10 cuboctahedra; faces with two equivalent Bi(1)Mg12 cuboctahedra; faces with four equivalent Mg(2)Mg10Bi2 cuboctahedra; and faces with ten Mg(3,3,3)SrMg10Bi cuboctahedra. In the third Mg site, Mg(1) is bonded to two equivalent Sr(1); two equivalent Mg(4); four equivalent Mg(1); and four Mg(3,3) atoms to form distorted MgSr2Mg10 cuboctahedra that share corners with four equivalent Bi(1)Mg12 cuboctahedra; corners with six equivalent Mg(1)Sr2Mg10 cuboctahedra; corners with eight Mg(2,2)Mg10Bi2 cuboctahedra; edges with two equivalent Sr(1)Mg12 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with four equivalent Mg(1)Sr2Mg10 cuboctahedra; edges with eight Mg(3,3)SrMg10Bi cuboctahedra; faces with two equivalent Sr(1)Mg12 cuboctahedra; faces with two equivalent Mg(2)Mg10Bi2 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with four equivalent Mg(1)Sr2Mg10 cuboctahedra; and faces with ten Mg(3,3,3)SrMg10Bi cuboctahedra. In the fourth Mg site, Mg(2) is bonded to two equivalent Mg(4); four Mg(2,2); four Mg(3,3); and two equivalent Bi(1) atoms to form distorted MgMg10Bi2 cuboctahedra that share corners with four equivalent Sr(1)Mg12 cuboctahedra; corners with six equivalent Mg(2)Mg10Bi2 cuboctahedra; corners with eight equivalent Mg(1)Sr2Mg10 cuboctahedra; edges with two equivalent Bi(1)Mg12 cuboctahedra; edges with four Mg(2,2)Mg10Bi2 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with eight Mg(3,3)SrMg10Bi cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Mg(1)Sr2Mg10 cuboctahedra; faces with two equivalent Bi(1)Mg12 cuboctahedra; faces with four Mg(2,2)Mg10Bi2 cuboctahedra; and faces with ten Mg(3,3,3)SrMg10Bi cuboctahedra. In the fifth Mg site, Mg(3) is bonded to one Sr(1); two Mg(1,1); two Mg(2,2); two equivalent Mg(4); four Mg(3,3); and one Bi(1) atom to form distorted MgSrMg10Bi cuboctahedra that share corners with four equivalent Mg(4)Mg12 cuboctahedra; corners with fourteen Mg(3,3,3)SrMg10Bi cuboctahedra; edges with two equivalent Sr(1)Mg12 cuboctahedra; edges with two equivalent Mg(4)Mg12 cuboctahedra; edges with two equivalent Bi(1)Mg12 cuboctahedra; edges with four Mg(2,2)Mg10Bi2 cuboctahedra; edges with four Mg(1,1)Sr2Mg10 cuboctahedra; edges with four Mg(3,3)SrMg10Bi cuboctahedra;  a faceface with one Sr(1)Mg12 cuboctahedra;  a faceface with one Bi(1)Mg12 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with five Mg(2,2)Mg10Bi2 cuboctahedra; faces with five Mg(1,1)Sr2Mg10 cuboctahedra; and faces with six Mg(3,3,3)SrMg10Bi cuboctahedra. In the sixth Mg site, Mg(3) is bonded to one Sr(1); two equivalent Mg(1); two Mg(2,2); two equivalent Mg(4); four Mg(3,3); and one Bi(1) atom to form distorted MgSrMg10Bi cuboctahedra that share corners with four equivalent Mg(4)Mg12 cuboctahedra; corners with fourteen Mg(3,3,3)SrMg10Bi cuboctahedra; edges with two equivalent Sr(1)Mg12 cuboctahedra; edges with two equivalent Mg(4)Mg12 cuboctahedra; edges with two equivalent Bi(1)Mg12 cuboctahedra; edges with four Mg(2,2)Mg10Bi2 cuboctahedra; edges with four equivalent Mg(1)Sr2Mg10 cuboctahedra; edges with four Mg(3,3)SrMg10Bi cuboctahedra;  a faceface with one Sr(1)Mg12 cuboctahedra;  a faceface with one Bi(1)Mg12 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with five Mg(2,2)Mg10Bi2 cuboctahedra; faces with five Mg(1,1)Sr2Mg10 cuboctahedra; and faces with six Mg(3,3,3)SrMg10Bi cuboctahedra. In the seventh Mg site, Mg(3) is bonded to one Sr(1); two Mg(1,1); two equivalent Mg(2); two equivalent Mg(4); four Mg(3,3); and one Bi(1) atom to form distorted MgSrMg10Bi cuboctahedra that share corners with four equivalent Mg(4)Mg12 cuboctahedra; corners with fourteen Mg(3,3,3)SrMg10Bi cuboctahedra; edges with two equivalent Sr(1)Mg12 cuboctahedra; edges with two equivalent Mg(4)Mg12 cuboctahedra; edges with two equivalent Bi(1)Mg12 cuboctahedra; edges with four equivalent Mg(2)Mg10Bi2 cuboctahedra; edges with four Mg(1,1)Sr2Mg10 cuboctahedra; edges with four Mg(3,3)SrMg10Bi cuboctahedra;  a faceface with one Sr(1)Mg12 cuboctahedra;  a faceface with one Bi(1)Mg12 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with five Mg(2,2)Mg10Bi2 cuboctahedra; faces with five Mg(1,1)Sr2Mg10 cuboctahedra; and faces with six Mg(3,3,3)SrMg10Bi cuboctahedra. In the eighth Mg site, Mg(4) is bonded to three Mg(1,1); three Mg(2,2); and six Mg(3,3,3) atoms to form MgMg12 cuboctahedra that share corners with six equivalent Mg(4)Mg12 cuboctahedra; corners with twelve Mg(3,3,3)SrMg10Bi cuboctahedra; edges with six Mg(2,2)Mg10Bi2 cuboctahedra; edges with six Mg(1,1)Sr2Mg10 cuboctahedra; edges with six Mg(3,3,3)SrMg10Bi cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with three equivalent Sr(1)Mg12 cuboctahedra; faces with three Mg(2,2)Mg10Bi2 cuboctahedra; faces with three Mg(1,1)Sr2Mg10 cuboctahedra; faces with three equivalent Bi(1)Mg12 cuboctahedra; and faces with six Mg(3,3,3)SrMg10Bi cuboctahedra. Bi(1) is bonded to six Mg(2,2) and six Mg(3,3,3) atoms to form BiMg12 cuboctahedra that share corners with six equivalent Bi(1)Mg12 cuboctahedra; corners with twelve Mg(1,1)Sr2Mg10 cuboctahedra; edges with six Mg(2,2)Mg10Bi2 cuboctahedra; edges with twelve Mg(3,3,3)SrMg10Bi cuboctahedra; faces with two equivalent Sr(1)Mg12 cuboctahedra; faces with six Mg(2,2)Mg10Bi2 cuboctahedra; faces with six equivalent Mg(4)Mg12 cuboctahedra; and faces with six Mg(3,3,3)SrMg10Bi cuboctahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_SrMg14Bi
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.593
_cell_length_b   6.593
_cell_length_c   10.682
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   120.000
_symmetry_Int_Tables_number   1
_cell_volume   402.119
_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
  Sr  Sr0  1  0.167  0.333  0.125  1.0
  Mg  Mg1  1  0.173  0.837  0.125  1.0
  Mg  Mg2  1  0.163  0.831  0.625  1.0
  Mg  Mg3  1  0.663  0.327  0.125  1.0
  Mg  Mg4  1  0.669  0.337  0.625  1.0
  Mg  Mg5  1  0.663  0.837  0.125  1.0
  Mg  Mg6  1  0.669  0.831  0.625  1.0
  Mg  Mg7  1  0.338  0.162  0.379  1.0
  Mg  Mg8  1  0.338  0.162  0.871  1.0
  Mg  Mg9  1  0.338  0.676  0.379  1.0
  Mg  Mg10  1  0.338  0.676  0.871  1.0
  Mg  Mg11  1  0.824  0.162  0.379  1.0
  Mg  Mg12  1  0.824  0.162  0.871  1.0
  Mg  Mg13  1  0.833  0.667  0.370  1.0
  Mg  Mg14  1  0.833  0.667  0.880  1.0
  Bi  Bi15  1  0.167  0.333  0.625  1.0
[/CIF]
.
The crystal structure described by SrMg14Bi crystallizes in the hexagonal P-6m2 space group. Sr(1) is bonded to six Mg(1,1) and six Mg(3,3,3) atoms to form SrMg12 cuboctahedra that share corners with six equivalent Sr(1)Mg12 cuboctahedra; corners with twelve Mg(2,2)Mg10Bi2 cuboctahedra; edges with six Mg(1,1)Sr2Mg10 cuboctahedra; edges with twelve Mg(3,3,3)SrMg10Bi cuboctahedra; faces with two equivalent Bi(1)Mg12 cuboctahedra; faces with six equivalent Mg(4)Mg12 cuboctahedra; faces with six Mg(1,1)Sr2Mg10 cuboctahedra; and faces with six Mg(3,3,3)SrMg10Bi cuboctahedra. There are eight inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Sr(1); two equivalent Mg(4); four Mg(1,1); and four Mg(3,3) atoms to form distorted MgSr2Mg10 cuboctahedra that share corners with four equivalent Bi(1)Mg12 cuboctahedra; corners with six equivalent Mg(1)Sr2Mg10 cuboctahedra; corners with eight equivalent Mg(2)Mg10Bi2 cuboctahedra; edges with two equivalent Sr(1)Mg12 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with four Mg(1,1)Sr2Mg10 cuboctahedra; edges with eight Mg(3,3)SrMg10Bi cuboctahedra; faces with two equivalent Sr(1)Mg12 cuboctahedra; faces with two equivalent Mg(2)Mg10Bi2 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with four Mg(1,1)Sr2Mg10 cuboctahedra; and faces with ten Mg(3,3,3)SrMg10Bi cuboctahedra. In the second Mg site, Mg(2) is bonded to two equivalent Mg(4); four equivalent Mg(2); four Mg(3,3); and two equivalent Bi(1) atoms to form distorted MgMg10Bi2 cuboctahedra that share corners with four equivalent Sr(1)Mg12 cuboctahedra; corners with six equivalent Mg(2)Mg10Bi2 cuboctahedra; corners with eight Mg(1,1)Sr2Mg10 cuboctahedra; edges with two equivalent Bi(1)Mg12 cuboctahedra; edges with four equivalent Mg(2)Mg10Bi2 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with eight Mg(3,3)SrMg10Bi cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Mg(1)Sr2Mg10 cuboctahedra; faces with two equivalent Bi(1)Mg12 cuboctahedra; faces with four equivalent Mg(2)Mg10Bi2 cuboctahedra; and faces with ten Mg(3,3,3)SrMg10Bi cuboctahedra. In the third Mg site, Mg(1) is bonded to two equivalent Sr(1); two equivalent Mg(4); four equivalent Mg(1); and four Mg(3,3) atoms to form distorted MgSr2Mg10 cuboctahedra that share corners with four equivalent Bi(1)Mg12 cuboctahedra; corners with six equivalent Mg(1)Sr2Mg10 cuboctahedra; corners with eight Mg(2,2)Mg10Bi2 cuboctahedra; edges with two equivalent Sr(1)Mg12 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with four equivalent Mg(1)Sr2Mg10 cuboctahedra; edges with eight Mg(3,3)SrMg10Bi cuboctahedra; faces with two equivalent Sr(1)Mg12 cuboctahedra; faces with two equivalent Mg(2)Mg10Bi2 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with four equivalent Mg(1)Sr2Mg10 cuboctahedra; and faces with ten Mg(3,3,3)SrMg10Bi cuboctahedra. In the fourth Mg site, Mg(2) is bonded to two equivalent Mg(4); four Mg(2,2); four Mg(3,3); and two equivalent Bi(1) atoms to form distorted MgMg10Bi2 cuboctahedra that share corners with four equivalent Sr(1)Mg12 cuboctahedra; corners with six equivalent Mg(2)Mg10Bi2 cuboctahedra; corners with eight equivalent Mg(1)Sr2Mg10 cuboctahedra; edges with two equivalent Bi(1)Mg12 cuboctahedra; edges with four Mg(2,2)Mg10Bi2 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with eight Mg(3,3)SrMg10Bi cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Mg(1)Sr2Mg10 cuboctahedra; faces with two equivalent Bi(1)Mg12 cuboctahedra; faces with four Mg(2,2)Mg10Bi2 cuboctahedra; and faces with ten Mg(3,3,3)SrMg10Bi cuboctahedra. In the fifth Mg site, Mg(3) is bonded to one Sr(1); two Mg(1,1); two Mg(2,2); two equivalent Mg(4); four Mg(3,3); and one Bi(1) atom to form distorted MgSrMg10Bi cuboctahedra that share corners with four equivalent Mg(4)Mg12 cuboctahedra; corners with fourteen Mg(3,3,3)SrMg10Bi cuboctahedra; edges with two equivalent Sr(1)Mg12 cuboctahedra; edges with two equivalent Mg(4)Mg12 cuboctahedra; edges with two equivalent Bi(1)Mg12 cuboctahedra; edges with four Mg(2,2)Mg10Bi2 cuboctahedra; edges with four Mg(1,1)Sr2Mg10 cuboctahedra; edges with four Mg(3,3)SrMg10Bi cuboctahedra;  a faceface with one Sr(1)Mg12 cuboctahedra;  a faceface with one Bi(1)Mg12 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with five Mg(2,2)Mg10Bi2 cuboctahedra; faces with five Mg(1,1)Sr2Mg10 cuboctahedra; and faces with six Mg(3,3,3)SrMg10Bi cuboctahedra. In the sixth Mg site, Mg(3) is bonded to one Sr(1); two equivalent Mg(1); two Mg(2,2); two equivalent Mg(4); four Mg(3,3); and one Bi(1) atom to form distorted MgSrMg10Bi cuboctahedra that share corners with four equivalent Mg(4)Mg12 cuboctahedra; corners with fourteen Mg(3,3,3)SrMg10Bi cuboctahedra; edges with two equivalent Sr(1)Mg12 cuboctahedra; edges with two equivalent Mg(4)Mg12 cuboctahedra; edges with two equivalent Bi(1)Mg12 cuboctahedra; edges with four Mg(2,2)Mg10Bi2 cuboctahedra; edges with four equivalent Mg(1)Sr2Mg10 cuboctahedra; edges with four Mg(3,3)SrMg10Bi cuboctahedra;  a faceface with one Sr(1)Mg12 cuboctahedra;  a faceface with one Bi(1)Mg12 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with five Mg(2,2)Mg10Bi2 cuboctahedra; faces with five Mg(1,1)Sr2Mg10 cuboctahedra; and faces with six Mg(3,3,3)SrMg10Bi cuboctahedra. In the seventh Mg site, Mg(3) is bonded to one Sr(1); two Mg(1,1); two equivalent Mg(2); two equivalent Mg(4); four Mg(3,3); and one Bi(1) atom to form distorted MgSrMg10Bi cuboctahedra that share corners with four equivalent Mg(4)Mg12 cuboctahedra; corners with fourteen Mg(3,3,3)SrMg10Bi cuboctahedra; edges with two equivalent Sr(1)Mg12 cuboctahedra; edges with two equivalent Mg(4)Mg12 cuboctahedra; edges with two equivalent Bi(1)Mg12 cuboctahedra; edges with four equivalent Mg(2)Mg10Bi2 cuboctahedra; edges with four Mg(1,1)Sr2Mg10 cuboctahedra; edges with four Mg(3,3)SrMg10Bi cuboctahedra;  a faceface with one Sr(1)Mg12 cuboctahedra;  a faceface with one Bi(1)Mg12 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with five Mg(2,2)Mg10Bi2 cuboctahedra; faces with five Mg(1,1)Sr2Mg10 cuboctahedra; and faces with six Mg(3,3,3)SrMg10Bi cuboctahedra. In the eighth Mg site, Mg(4) is bonded to three Mg(1,1); three Mg(2,2); and six Mg(3,3,3) atoms to form MgMg12 cuboctahedra that share corners with six equivalent Mg(4)Mg12 cuboctahedra; corners with twelve Mg(3,3,3)SrMg10Bi cuboctahedra; edges with six Mg(2,2)Mg10Bi2 cuboctahedra; edges with six Mg(1,1)Sr2Mg10 cuboctahedra; edges with six Mg(3,3,3)SrMg10Bi cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with three equivalent Sr(1)Mg12 cuboctahedra; faces with three Mg(2,2)Mg10Bi2 cuboctahedra; faces with three Mg(1,1)Sr2Mg10 cuboctahedra; faces with three equivalent Bi(1)Mg12 cuboctahedra; and faces with six Mg(3,3,3)SrMg10Bi cuboctahedra. Bi(1) is bonded to six Mg(2,2) and six Mg(3,3,3) atoms to form BiMg12 cuboctahedra that share corners with six equivalent Bi(1)Mg12 cuboctahedra; corners with twelve Mg(1,1)Sr2Mg10 cuboctahedra; edges with six Mg(2,2)Mg10Bi2 cuboctahedra; edges with twelve Mg(3,3,3)SrMg10Bi cuboctahedra; faces with two equivalent Sr(1)Mg12 cuboctahedra; faces with six Mg(2,2)Mg10Bi2 cuboctahedra; faces with six equivalent Mg(4)Mg12 cuboctahedra; and faces with six Mg(3,3,3)SrMg10Bi cuboctahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_SrMg14Bi
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.593
_cell_length_b   6.593
_cell_length_c   10.682
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   120.000
_symmetry_Int_Tables_number   1
_cell_volume   402.119
_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
  Sr  Sr0  1  0.167  0.333  0.125  1.0
  Mg  Mg1  1  0.173  0.837  0.125  1.0
  Mg  Mg2  1  0.163  0.831  0.625  1.0
  Mg  Mg3  1  0.663  0.327  0.125  1.0
  Mg  Mg4  1  0.669  0.337  0.625  1.0
  Mg  Mg5  1  0.663  0.837  0.125  1.0
  Mg  Mg6  1  0.669  0.831  0.625  1.0
  Mg  Mg7  1  0.338  0.162  0.379  1.0
  Mg  Mg8  1  0.338  0.162  0.871  1.0
  Mg  Mg9  1  0.338  0.676  0.379  1.0
  Mg  Mg10  1  0.338  0.676  0.871  1.0
  Mg  Mg11  1  0.824  0.162  0.379  1.0
  Mg  Mg12  1  0.824  0.162  0.871  1.0
  Mg  Mg13  1  0.833  0.667  0.370  1.0
  Mg  Mg14  1  0.833  0.667  0.880  1.0
  Bi  Bi15  1  0.167  0.333  0.625  1.0
[/CIF]
.