The compound described by KSrMg14 crystallizes in the orthorhombic Amm2 space group. K(1) is bonded to two equivalent Sr(1), two equivalent Mg(6), four equivalent Mg(3), and four equivalent Mg(5) atoms to form KSr2Mg10 cuboctahedra that share corners with four equivalent Mg(2)Mg12 cuboctahedra, corners with six equivalent K(1)Sr2Mg10 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Sr(1)K2Mg10 cuboctahedra, edges with eight equivalent Mg(5)KSrMg10 cuboctahedra, faces with two equivalent Sr(1)K2Mg10 cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with four equivalent Mg(5)KSrMg10 cuboctahedra, and faces with six equivalent Mg(7)SrMg11 cuboctahedra. Sr(1) is bonded to two equivalent K(1), two equivalent Mg(7), four equivalent Mg(3), and four equivalent Mg(5) atoms to form SrK2Mg10 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra, corners with six equivalent Sr(1)K2Mg10 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent K(1)Sr2Mg10 cuboctahedra, edges with four equivalent Mg(7)SrMg11 cuboctahedra, edges with eight equivalent Mg(5)KSrMg10 cuboctahedra, faces with two equivalent K(1)Sr2Mg10 cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with two equivalent Mg(7)SrMg11 cuboctahedra, and faces with four equivalent Mg(5)KSrMg10 cuboctahedra. There are seven inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Mg(2), two equivalent Mg(6), four equivalent Mg(4), and four equivalent Mg(5) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Sr(1)K2Mg10 cuboctahedra, corners with six equivalent Mg(1)Mg12 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with eight equivalent Mg(5)KSrMg10 cuboctahedra, faces with two equivalent K(1)Sr2Mg10 cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with four equivalent Mg(5)KSrMg10 cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, and faces with six equivalent Mg(7)SrMg11 cuboctahedra. In the second Mg site, Mg(2) is bonded to two equivalent Mg(1), two equivalent Mg(7), four equivalent Mg(4), and four equivalent Mg(5) atoms to form MgMg12 cuboctahedra that share corners with four equivalent K(1)Sr2Mg10 cuboctahedra, corners with six equivalent Mg(2)Mg12 cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with four equivalent Mg(7)SrMg11 cuboctahedra, edges with eight equivalent Mg(5)KSrMg10 cuboctahedra, faces with two equivalent Sr(1)K2Mg10 cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Mg(7)SrMg11 cuboctahedra, faces with four equivalent Mg(5)KSrMg10 cuboctahedra, and faces with four equivalent Mg(4)Mg12 cuboctahedra. In the third Mg site, Mg(3) is bonded in a 12-coordinate geometry to two equivalent K(1), two equivalent Sr(1), two equivalent Mg(3), two equivalent Mg(5), two equivalent Mg(6), and two equivalent Mg(7) atoms. In the fourth Mg site, Mg(4) is bonded to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(4), two equivalent Mg(5), two equivalent Mg(6), and two equivalent Mg(7) atoms to form MgMg12 cuboctahedra that share corners with four equivalent K(1)Sr2Mg10 cuboctahedra, corners with four equivalent Sr(1)K2Mg10 cuboctahedra, corners with six equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with two equivalent Mg(4)Mg12 cuboctahedra, edges with four equivalent Mg(5)KSrMg10 cuboctahedra, edges with four equivalent Mg(7)SrMg11 cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Mg(7)SrMg11 cuboctahedra, and faces with eight equivalent Mg(5)KSrMg10 cuboctahedra. In the fifth Mg site, Mg(5) is bonded to one K(1), one Sr(1), one Mg(1), one Mg(2), one Mg(3), one Mg(4), two equivalent Mg(5), two equivalent Mg(6), and two equivalent Mg(7) atoms to form distorted MgKSrMg10 cuboctahedra that share corners with four equivalent Mg(7)SrMg11 cuboctahedra, corners with ten equivalent Mg(5)KSrMg10 cuboctahedra, edges with two equivalent K(1)Sr2Mg10 cuboctahedra, edges with two equivalent Sr(1)K2Mg10 cuboctahedra, edges with two equivalent Mg(5)KSrMg10 cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with two equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Mg(7)SrMg11 cuboctahedra,  a faceface with one K(1)Sr2Mg10 cuboctahedra,  a faceface with one Sr(1)K2Mg10 cuboctahedra,  a faceface with one Mg(1)Mg12 cuboctahedra,  a faceface with one Mg(2)Mg12 cuboctahedra, faces with two equivalent Mg(7)SrMg11 cuboctahedra, faces with four equivalent Mg(5)KSrMg10 cuboctahedra, and faces with four equivalent Mg(4)Mg12 cuboctahedra. In the sixth Mg site, Mg(6) is bonded in a 12-coordinate geometry to one K(1), one Mg(1), two equivalent Mg(3), two equivalent Mg(4), two equivalent Mg(7), and four equivalent Mg(5) atoms. In the seventh Mg site, Mg(7) is bonded to one Sr(1), one Mg(2), two equivalent Mg(3), two equivalent Mg(4), two equivalent Mg(6), and four equivalent Mg(5) atoms to form distorted MgSrMg11 cuboctahedra that share corners with six equivalent Mg(7)SrMg11 cuboctahedra, corners with eight equivalent Mg(5)KSrMg10 cuboctahedra, edges with two equivalent Sr(1)K2Mg10 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with four equivalent Mg(5)KSrMg10 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra,  a faceface with one Sr(1)K2Mg10 cuboctahedra,  a faceface with one Mg(2)Mg12 cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Mg(7)SrMg11 cuboctahedra, faces with three equivalent K(1)Sr2Mg10 cuboctahedra, faces with three equivalent Mg(1)Mg12 cuboctahedra, and faces with four equivalent Mg(5)KSrMg10 cuboctahedra. is represented by the CIF card [CIF]
data_KSrMg14
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.725
_cell_length_b   6.655
_cell_length_c   10.810
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   119.655
_symmetry_Int_Tables_number   1
_cell_volume   420.409
_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
  K  K0  1  0.169  0.334  0.125  1.0
  Sr  Sr1  1  0.170  0.835  0.125  1.0
  Mg  Mg2  1  0.166  0.333  0.625  1.0
  Mg  Mg3  1  0.166  0.833  0.625  1.0
  Mg  Mg4  1  0.664  0.334  0.125  1.0
  Mg  Mg5  1  0.667  0.333  0.625  1.0
  Mg  Mg6  1  0.664  0.829  0.125  1.0
  Mg  Mg7  1  0.667  0.834  0.625  1.0
  Mg  Mg8  1  0.344  0.171  0.395  1.0
  Mg  Mg9  1  0.344  0.171  0.855  1.0
  Mg  Mg10  1  0.344  0.673  0.395  1.0
  Mg  Mg11  1  0.344  0.673  0.855  1.0
  Mg  Mg12  1  0.822  0.161  0.383  1.0
  Mg  Mg13  1  0.822  0.161  0.867  1.0
  Mg  Mg14  1  0.824  0.662  0.382  1.0
  Mg  Mg15  1  0.824  0.662  0.868  1.0
[/CIF]
.
The compound described by KSrMg14 crystallizes in the orthorhombic Amm2 space group. K(1) is bonded to two equivalent Sr(1), two equivalent Mg(6), four equivalent Mg(3), and four equivalent Mg(5) atoms to form KSr2Mg10 cuboctahedra that share corners with four equivalent Mg(2)Mg12 cuboctahedra, corners with six equivalent K(1)Sr2Mg10 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Sr(1)K2Mg10 cuboctahedra, edges with eight equivalent Mg(5)KSrMg10 cuboctahedra, faces with two equivalent Sr(1)K2Mg10 cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with four equivalent Mg(5)KSrMg10 cuboctahedra, and faces with six equivalent Mg(7)SrMg11 cuboctahedra. Sr(1) is bonded to two equivalent K(1), two equivalent Mg(7), four equivalent Mg(3), and four equivalent Mg(5) atoms to form SrK2Mg10 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra, corners with six equivalent Sr(1)K2Mg10 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent K(1)Sr2Mg10 cuboctahedra, edges with four equivalent Mg(7)SrMg11 cuboctahedra, edges with eight equivalent Mg(5)KSrMg10 cuboctahedra, faces with two equivalent K(1)Sr2Mg10 cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with two equivalent Mg(7)SrMg11 cuboctahedra, and faces with four equivalent Mg(5)KSrMg10 cuboctahedra. There are seven inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Mg(2), two equivalent Mg(6), four equivalent Mg(4), and four equivalent Mg(5) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Sr(1)K2Mg10 cuboctahedra, corners with six equivalent Mg(1)Mg12 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with eight equivalent Mg(5)KSrMg10 cuboctahedra, faces with two equivalent K(1)Sr2Mg10 cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with four equivalent Mg(5)KSrMg10 cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, and faces with six equivalent Mg(7)SrMg11 cuboctahedra. In the second Mg site, Mg(2) is bonded to two equivalent Mg(1), two equivalent Mg(7), four equivalent Mg(4), and four equivalent Mg(5) atoms to form MgMg12 cuboctahedra that share corners with four equivalent K(1)Sr2Mg10 cuboctahedra, corners with six equivalent Mg(2)Mg12 cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with four equivalent Mg(7)SrMg11 cuboctahedra, edges with eight equivalent Mg(5)KSrMg10 cuboctahedra, faces with two equivalent Sr(1)K2Mg10 cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Mg(7)SrMg11 cuboctahedra, faces with four equivalent Mg(5)KSrMg10 cuboctahedra, and faces with four equivalent Mg(4)Mg12 cuboctahedra. In the third Mg site, Mg(3) is bonded in a 12-coordinate geometry to two equivalent K(1), two equivalent Sr(1), two equivalent Mg(3), two equivalent Mg(5), two equivalent Mg(6), and two equivalent Mg(7) atoms. In the fourth Mg site, Mg(4) is bonded to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(4), two equivalent Mg(5), two equivalent Mg(6), and two equivalent Mg(7) atoms to form MgMg12 cuboctahedra that share corners with four equivalent K(1)Sr2Mg10 cuboctahedra, corners with four equivalent Sr(1)K2Mg10 cuboctahedra, corners with six equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with two equivalent Mg(4)Mg12 cuboctahedra, edges with four equivalent Mg(5)KSrMg10 cuboctahedra, edges with four equivalent Mg(7)SrMg11 cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Mg(7)SrMg11 cuboctahedra, and faces with eight equivalent Mg(5)KSrMg10 cuboctahedra. In the fifth Mg site, Mg(5) is bonded to one K(1), one Sr(1), one Mg(1), one Mg(2), one Mg(3), one Mg(4), two equivalent Mg(5), two equivalent Mg(6), and two equivalent Mg(7) atoms to form distorted MgKSrMg10 cuboctahedra that share corners with four equivalent Mg(7)SrMg11 cuboctahedra, corners with ten equivalent Mg(5)KSrMg10 cuboctahedra, edges with two equivalent K(1)Sr2Mg10 cuboctahedra, edges with two equivalent Sr(1)K2Mg10 cuboctahedra, edges with two equivalent Mg(5)KSrMg10 cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with two equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Mg(7)SrMg11 cuboctahedra,  a faceface with one K(1)Sr2Mg10 cuboctahedra,  a faceface with one Sr(1)K2Mg10 cuboctahedra,  a faceface with one Mg(1)Mg12 cuboctahedra,  a faceface with one Mg(2)Mg12 cuboctahedra, faces with two equivalent Mg(7)SrMg11 cuboctahedra, faces with four equivalent Mg(5)KSrMg10 cuboctahedra, and faces with four equivalent Mg(4)Mg12 cuboctahedra. In the sixth Mg site, Mg(6) is bonded in a 12-coordinate geometry to one K(1), one Mg(1), two equivalent Mg(3), two equivalent Mg(4), two equivalent Mg(7), and four equivalent Mg(5) atoms. In the seventh Mg site, Mg(7) is bonded to one Sr(1), one Mg(2), two equivalent Mg(3), two equivalent Mg(4), two equivalent Mg(6), and four equivalent Mg(5) atoms to form distorted MgSrMg11 cuboctahedra that share corners with six equivalent Mg(7)SrMg11 cuboctahedra, corners with eight equivalent Mg(5)KSrMg10 cuboctahedra, edges with two equivalent Sr(1)K2Mg10 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with four equivalent Mg(5)KSrMg10 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra,  a faceface with one Sr(1)K2Mg10 cuboctahedra,  a faceface with one Mg(2)Mg12 cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Mg(7)SrMg11 cuboctahedra, faces with three equivalent K(1)Sr2Mg10 cuboctahedra, faces with three equivalent Mg(1)Mg12 cuboctahedra, and faces with four equivalent Mg(5)KSrMg10 cuboctahedra. is represented by the CIF card [CIF]
data_KSrMg14
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.725
_cell_length_b   6.655
_cell_length_c   10.810
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   119.655
_symmetry_Int_Tables_number   1
_cell_volume   420.409
_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
  K  K0  1  0.169  0.334  0.125  1.0
  Sr  Sr1  1  0.170  0.835  0.125  1.0
  Mg  Mg2  1  0.166  0.333  0.625  1.0
  Mg  Mg3  1  0.166  0.833  0.625  1.0
  Mg  Mg4  1  0.664  0.334  0.125  1.0
  Mg  Mg5  1  0.667  0.333  0.625  1.0
  Mg  Mg6  1  0.664  0.829  0.125  1.0
  Mg  Mg7  1  0.667  0.834  0.625  1.0
  Mg  Mg8  1  0.344  0.171  0.395  1.0
  Mg  Mg9  1  0.344  0.171  0.855  1.0
  Mg  Mg10  1  0.344  0.673  0.395  1.0
  Mg  Mg11  1  0.344  0.673  0.855  1.0
  Mg  Mg12  1  0.822  0.161  0.383  1.0
  Mg  Mg13  1  0.822  0.161  0.867  1.0
  Mg  Mg14  1  0.824  0.662  0.382  1.0
  Mg  Mg15  1  0.824  0.662  0.868  1.0
[/CIF]
.