The crystal structure described by SrMg14Sn crystallizes in the hexagonal P-6m2 space group. Sr(1) is bonded to six Mg(2,2) and six equivalent Mg(3) atoms to form SrMg12 cuboctahedra that share corners with six equivalent Sr(1)Mg12 cuboctahedra; corners with twelve equivalent Mg(1)Mg10Sn2 cuboctahedra; edges with six Mg(2,2)Sr2Mg10 cuboctahedra; edges with twelve equivalent Mg(3)SrMg10Sn cuboctahedra; faces with two equivalent Sn(1)Mg12 cuboctahedra; faces with six equivalent Mg(4)Mg12 cuboctahedra; faces with six Mg(2,2)Sr2Mg10 cuboctahedra; and faces with six equivalent Mg(3)SrMg10Sn cuboctahedra. There are five inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Mg(4), four equivalent Mg(1), four equivalent Mg(3), and two equivalent Sn(1) atoms to form distorted MgMg10Sn2 cuboctahedra that share corners with four equivalent Sr(1)Mg12 cuboctahedra, corners with six equivalent Mg(1)Mg10Sn2 cuboctahedra, corners with eight equivalent Mg(2)Sr2Mg10 cuboctahedra, edges with two equivalent Sn(1)Mg12 cuboctahedra, edges with four equivalent Mg(1)Mg10Sn2 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with eight equivalent Mg(3)SrMg10Sn cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Mg(2)Sr2Mg10 cuboctahedra, faces with two equivalent Sn(1)Mg12 cuboctahedra, faces with four equivalent Mg(1)Mg10Sn2 cuboctahedra, and faces with ten equivalent Mg(3)SrMg10Sn cuboctahedra. In the second Mg site, Mg(2) is bonded to two equivalent Sr(1), two equivalent Mg(4), four equivalent Mg(2), and four equivalent Mg(3) atoms to form distorted MgSr2Mg10 cuboctahedra that share corners with four equivalent Sn(1)Mg12 cuboctahedra, corners with six equivalent Mg(2)Sr2Mg10 cuboctahedra, corners with eight equivalent Mg(1)Mg10Sn2 cuboctahedra, edges with two equivalent Sr(1)Mg12 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with four equivalent Mg(2)Sr2Mg10 cuboctahedra, edges with eight equivalent Mg(3)SrMg10Sn cuboctahedra, faces with two equivalent Sr(1)Mg12 cuboctahedra, faces with two equivalent Mg(1)Mg10Sn2 cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with four equivalent Mg(2)Sr2Mg10 cuboctahedra, and faces with ten equivalent Mg(3)SrMg10Sn cuboctahedra. In the third Mg site, Mg(2) is bonded to two equivalent Sr(1); two equivalent Mg(4); four Mg(2,2); and four equivalent Mg(3) atoms to form distorted MgSr2Mg10 cuboctahedra that share corners with four equivalent Sn(1)Mg12 cuboctahedra; corners with six equivalent Mg(2)Sr2Mg10 cuboctahedra; corners with eight equivalent Mg(1)Mg10Sn2 cuboctahedra; edges with two equivalent Sr(1)Mg12 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with four Mg(2,2)Sr2Mg10 cuboctahedra; edges with eight equivalent Mg(3)SrMg10Sn cuboctahedra; faces with two equivalent Sr(1)Mg12 cuboctahedra; faces with two equivalent Mg(1)Mg10Sn2 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with four Mg(2,2)Sr2Mg10 cuboctahedra; and faces with ten equivalent Mg(3)SrMg10Sn cuboctahedra. In the fourth Mg site, Mg(3) is bonded to one Sr(1); two equivalent Mg(1); two Mg(2,2); two equivalent Mg(4); four equivalent Mg(3); and one Sn(1) atom to form distorted MgSrMg10Sn cuboctahedra that share corners with four equivalent Mg(4)Mg12 cuboctahedra; corners with fourteen equivalent Mg(3)SrMg10Sn cuboctahedra; edges with two equivalent Sr(1)Mg12 cuboctahedra; edges with two equivalent Mg(4)Mg12 cuboctahedra; edges with two equivalent Sn(1)Mg12 cuboctahedra; edges with four equivalent Mg(1)Mg10Sn2 cuboctahedra; edges with four Mg(2,2)Sr2Mg10 cuboctahedra; edges with four equivalent Mg(3)SrMg10Sn cuboctahedra;  a faceface with one Sr(1)Mg12 cuboctahedra;  a faceface with one Sn(1)Mg12 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with five equivalent Mg(1)Mg10Sn2 cuboctahedra; faces with five Mg(2,2)Sr2Mg10 cuboctahedra; and faces with six equivalent Mg(3)SrMg10Sn cuboctahedra. In the fifth Mg site, Mg(4) is bonded to three equivalent Mg(1); three Mg(2,2); and six equivalent Mg(3) atoms to form MgMg12 cuboctahedra that share corners with six equivalent Mg(4)Mg12 cuboctahedra; corners with twelve equivalent Mg(3)SrMg10Sn cuboctahedra; edges with six equivalent Mg(1)Mg10Sn2 cuboctahedra; edges with six Mg(2,2)Sr2Mg10 cuboctahedra; edges with six equivalent Mg(3)SrMg10Sn cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with three equivalent Sr(1)Mg12 cuboctahedra; faces with three equivalent Mg(1)Mg10Sn2 cuboctahedra; faces with three Mg(2,2)Sr2Mg10 cuboctahedra; faces with three equivalent Sn(1)Mg12 cuboctahedra; and faces with six equivalent Mg(3)SrMg10Sn cuboctahedra. Sn(1) is bonded to six equivalent Mg(1) and six equivalent Mg(3) atoms to form SnMg12 cuboctahedra that share corners with six equivalent Sn(1)Mg12 cuboctahedra; corners with twelve Mg(2,2)Sr2Mg10 cuboctahedra; edges with six equivalent Mg(1)Mg10Sn2 cuboctahedra; edges with twelve equivalent Mg(3)SrMg10Sn cuboctahedra; faces with two equivalent Sr(1)Mg12 cuboctahedra; faces with six equivalent Mg(1)Mg10Sn2 cuboctahedra; faces with six equivalent Mg(4)Mg12 cuboctahedra; and faces with six equivalent Mg(3)SrMg10Sn cuboctahedra. is represented by the CIF file [CIF]
data_SrMg14Sn
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.520
_cell_length_b   6.520
_cell_length_c   10.660
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   120.000
_symmetry_Int_Tables_number   1
_cell_volume   392.480
_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  0.625  1.0
  Mg  Mg1  1  0.162  0.831  0.125  1.0
  Mg  Mg2  1  0.175  0.837  0.625  1.0
  Mg  Mg3  1  0.669  0.338  0.125  1.0
  Mg  Mg4  1  0.663  0.325  0.625  1.0
  Mg  Mg5  1  0.669  0.831  0.125  1.0
  Mg  Mg6  1  0.663  0.837  0.625  1.0
  Mg  Mg7  1  0.337  0.163  0.368  1.0
  Mg  Mg8  1  0.337  0.163  0.882  1.0
  Mg  Mg9  1  0.337  0.673  0.368  1.0
  Mg  Mg10  1  0.337  0.673  0.882  1.0
  Mg  Mg11  1  0.827  0.163  0.368  1.0
  Mg  Mg12  1  0.827  0.163  0.882  1.0
  Mg  Mg13  1  0.833  0.667  0.382  1.0
  Mg  Mg14  1  0.833  0.667  0.868  1.0
  Sn  Sn15  1  0.167  0.333  0.125  1.0
[/CIF]
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The crystal structure described by SrMg14Sn crystallizes in the hexagonal P-6m2 space group. Sr(1) is bonded to six Mg(2,2) and six equivalent Mg(3) atoms to form SrMg12 cuboctahedra that share corners with six equivalent Sr(1)Mg12 cuboctahedra; corners with twelve equivalent Mg(1)Mg10Sn2 cuboctahedra; edges with six Mg(2,2)Sr2Mg10 cuboctahedra; edges with twelve equivalent Mg(3)SrMg10Sn cuboctahedra; faces with two equivalent Sn(1)Mg12 cuboctahedra; faces with six equivalent Mg(4)Mg12 cuboctahedra; faces with six Mg(2,2)Sr2Mg10 cuboctahedra; and faces with six equivalent Mg(3)SrMg10Sn cuboctahedra. There are five inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Mg(4), four equivalent Mg(1), four equivalent Mg(3), and two equivalent Sn(1) atoms to form distorted MgMg10Sn2 cuboctahedra that share corners with four equivalent Sr(1)Mg12 cuboctahedra, corners with six equivalent Mg(1)Mg10Sn2 cuboctahedra, corners with eight equivalent Mg(2)Sr2Mg10 cuboctahedra, edges with two equivalent Sn(1)Mg12 cuboctahedra, edges with four equivalent Mg(1)Mg10Sn2 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with eight equivalent Mg(3)SrMg10Sn cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Mg(2)Sr2Mg10 cuboctahedra, faces with two equivalent Sn(1)Mg12 cuboctahedra, faces with four equivalent Mg(1)Mg10Sn2 cuboctahedra, and faces with ten equivalent Mg(3)SrMg10Sn cuboctahedra. In the second Mg site, Mg(2) is bonded to two equivalent Sr(1), two equivalent Mg(4), four equivalent Mg(2), and four equivalent Mg(3) atoms to form distorted MgSr2Mg10 cuboctahedra that share corners with four equivalent Sn(1)Mg12 cuboctahedra, corners with six equivalent Mg(2)Sr2Mg10 cuboctahedra, corners with eight equivalent Mg(1)Mg10Sn2 cuboctahedra, edges with two equivalent Sr(1)Mg12 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with four equivalent Mg(2)Sr2Mg10 cuboctahedra, edges with eight equivalent Mg(3)SrMg10Sn cuboctahedra, faces with two equivalent Sr(1)Mg12 cuboctahedra, faces with two equivalent Mg(1)Mg10Sn2 cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with four equivalent Mg(2)Sr2Mg10 cuboctahedra, and faces with ten equivalent Mg(3)SrMg10Sn cuboctahedra. In the third Mg site, Mg(2) is bonded to two equivalent Sr(1); two equivalent Mg(4); four Mg(2,2); and four equivalent Mg(3) atoms to form distorted MgSr2Mg10 cuboctahedra that share corners with four equivalent Sn(1)Mg12 cuboctahedra; corners with six equivalent Mg(2)Sr2Mg10 cuboctahedra; corners with eight equivalent Mg(1)Mg10Sn2 cuboctahedra; edges with two equivalent Sr(1)Mg12 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with four Mg(2,2)Sr2Mg10 cuboctahedra; edges with eight equivalent Mg(3)SrMg10Sn cuboctahedra; faces with two equivalent Sr(1)Mg12 cuboctahedra; faces with two equivalent Mg(1)Mg10Sn2 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with four Mg(2,2)Sr2Mg10 cuboctahedra; and faces with ten equivalent Mg(3)SrMg10Sn cuboctahedra. In the fourth Mg site, Mg(3) is bonded to one Sr(1); two equivalent Mg(1); two Mg(2,2); two equivalent Mg(4); four equivalent Mg(3); and one Sn(1) atom to form distorted MgSrMg10Sn cuboctahedra that share corners with four equivalent Mg(4)Mg12 cuboctahedra; corners with fourteen equivalent Mg(3)SrMg10Sn cuboctahedra; edges with two equivalent Sr(1)Mg12 cuboctahedra; edges with two equivalent Mg(4)Mg12 cuboctahedra; edges with two equivalent Sn(1)Mg12 cuboctahedra; edges with four equivalent Mg(1)Mg10Sn2 cuboctahedra; edges with four Mg(2,2)Sr2Mg10 cuboctahedra; edges with four equivalent Mg(3)SrMg10Sn cuboctahedra;  a faceface with one Sr(1)Mg12 cuboctahedra;  a faceface with one Sn(1)Mg12 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with five equivalent Mg(1)Mg10Sn2 cuboctahedra; faces with five Mg(2,2)Sr2Mg10 cuboctahedra; and faces with six equivalent Mg(3)SrMg10Sn cuboctahedra. In the fifth Mg site, Mg(4) is bonded to three equivalent Mg(1); three Mg(2,2); and six equivalent Mg(3) atoms to form MgMg12 cuboctahedra that share corners with six equivalent Mg(4)Mg12 cuboctahedra; corners with twelve equivalent Mg(3)SrMg10Sn cuboctahedra; edges with six equivalent Mg(1)Mg10Sn2 cuboctahedra; edges with six Mg(2,2)Sr2Mg10 cuboctahedra; edges with six equivalent Mg(3)SrMg10Sn cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with three equivalent Sr(1)Mg12 cuboctahedra; faces with three equivalent Mg(1)Mg10Sn2 cuboctahedra; faces with three Mg(2,2)Sr2Mg10 cuboctahedra; faces with three equivalent Sn(1)Mg12 cuboctahedra; and faces with six equivalent Mg(3)SrMg10Sn cuboctahedra. Sn(1) is bonded to six equivalent Mg(1) and six equivalent Mg(3) atoms to form SnMg12 cuboctahedra that share corners with six equivalent Sn(1)Mg12 cuboctahedra; corners with twelve Mg(2,2)Sr2Mg10 cuboctahedra; edges with six equivalent Mg(1)Mg10Sn2 cuboctahedra; edges with twelve equivalent Mg(3)SrMg10Sn cuboctahedra; faces with two equivalent Sr(1)Mg12 cuboctahedra; faces with six equivalent Mg(1)Mg10Sn2 cuboctahedra; faces with six equivalent Mg(4)Mg12 cuboctahedra; and faces with six equivalent Mg(3)SrMg10Sn cuboctahedra. is represented by the CIF file [CIF]
data_SrMg14Sn
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.520
_cell_length_b   6.520
_cell_length_c   10.660
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   120.000
_symmetry_Int_Tables_number   1
_cell_volume   392.480
_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  0.625  1.0
  Mg  Mg1  1  0.162  0.831  0.125  1.0
  Mg  Mg2  1  0.175  0.837  0.625  1.0
  Mg  Mg3  1  0.669  0.338  0.125  1.0
  Mg  Mg4  1  0.663  0.325  0.625  1.0
  Mg  Mg5  1  0.669  0.831  0.125  1.0
  Mg  Mg6  1  0.663  0.837  0.625  1.0
  Mg  Mg7  1  0.337  0.163  0.368  1.0
  Mg  Mg8  1  0.337  0.163  0.882  1.0
  Mg  Mg9  1  0.337  0.673  0.368  1.0
  Mg  Mg10  1  0.337  0.673  0.882  1.0
  Mg  Mg11  1  0.827  0.163  0.368  1.0
  Mg  Mg12  1  0.827  0.163  0.882  1.0
  Mg  Mg13  1  0.833  0.667  0.382  1.0
  Mg  Mg14  1  0.833  0.667  0.868  1.0
  Sn  Sn15  1  0.167  0.333  0.125  1.0
[/CIF]
.