The structure described by RbMg14Sn crystallizes in the orthorhombic Amm2 space group. Rb(1) is bonded to two equivalent Mg(7); four Mg(3,3); four Mg(5,5); and two equivalent Sn(1) atoms to form RbMg10Sn2 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra; corners with six equivalent Rb(1)Mg10Sn2 cuboctahedra; corners with eight Mg(4,4,4)Mg12 cuboctahedra; edges with two equivalent Sn(1)Rb2Mg10 cuboctahedra; edges with four equivalent Mg(7)RbMg11 cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with two equivalent Mg(7)RbMg11 cuboctahedra; and faces with two equivalent Sn(1)Rb2Mg10 cuboctahedra. There are thirteen inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Mg(2); two equivalent Mg(6); four Mg(4,4,4); and four Mg(5,5) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Rb(1)Mg10Sn2 cuboctahedra; corners with six equivalent Mg(1)Mg12 cuboctahedra; edges with two equivalent Mg(2)Mg12 cuboctahedra; edges with four Mg(4,4,4)Mg12 cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with two equivalent Sn(1)Rb2Mg10 cuboctahedra; faces with four Mg(4,4,4)Mg12 cuboctahedra; and faces with six equivalent Mg(7)RbMg11 cuboctahedra. In the second Mg site, Mg(2) is bonded to two equivalent Mg(1); two equivalent Mg(7); four Mg(4,4,4); and four Mg(5,5) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Sn(1)Rb2Mg10 cuboctahedra; corners with six equivalent Mg(2)Mg12 cuboctahedra; edges with two equivalent Mg(1)Mg12 cuboctahedra; edges with four Mg(4,4,4)Mg12 cuboctahedra; edges with four equivalent Mg(7)RbMg11 cuboctahedra; faces with two equivalent Rb(1)Mg10Sn2 cuboctahedra; faces with two equivalent Mg(1)Mg12 cuboctahedra; faces with two equivalent Mg(7)RbMg11 cuboctahedra; and faces with four Mg(4,4,4)Mg12 cuboctahedra. In the third Mg site, Mg(3) is bonded in a 12-coordinate geometry to two equivalent Rb(1), two equivalent Mg(3), two equivalent Mg(5), two equivalent Mg(6), two equivalent Mg(7), and two equivalent Sn(1) 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 Rb(1)Mg10Sn2 cuboctahedra; corners with four equivalent Sn(1)Rb2Mg10 cuboctahedra; corners with six Mg(4,4)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(7)RbMg11 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; and faces with two equivalent Mg(7)RbMg11 cuboctahedra. In the fifth Mg site, Mg(3) is bonded in a 12-coordinate geometry to two equivalent Rb(1); two equivalent Mg(3); two Mg(5,5); two equivalent Mg(6); two equivalent Mg(7); and two equivalent Sn(1) atoms. In the sixth Mg site, Mg(5) is bonded in a 12-coordinate geometry to one Rb(1), one Mg(1), one Mg(2), one Mg(3), one Mg(4), two equivalent Mg(5), two equivalent Mg(6), two equivalent Mg(7), and one Sn(1) atom. In the seventh Mg site, Mg(5) is bonded in a 12-coordinate geometry to one Rb(1), one Mg(1), one Mg(2), one Mg(3), one Mg(4), two equivalent Mg(5), two equivalent Mg(6), two equivalent Mg(7), and one Sn(1) atom. In the eighth Mg site, Mg(6) is bonded in a distorted single-bond geometry to one Mg(1); two Mg(3,3); two Mg(4,4); two equivalent Mg(7); four Mg(5,5,5); and one Sn(1) atom. In the ninth Mg site, Mg(7) is bonded to one Rb(1); one Mg(2); two Mg(3,3); two Mg(4,4); two equivalent Mg(6); and four Mg(5,5,5) atoms to form distorted MgRbMg11 cuboctahedra that share corners with six equivalent Mg(7)RbMg11 cuboctahedra; edges with two equivalent Rb(1)Mg10Sn2 cuboctahedra; edges with two equivalent Mg(2)Mg12 cuboctahedra; edges with four Mg(4,4,4)Mg12 cuboctahedra;  a faceface with one Rb(1)Mg10Sn2 cuboctahedra;  a faceface with one Mg(2)Mg12 cuboctahedra; faces with two Mg(4,4)Mg12 cuboctahedra; faces with two equivalent Mg(7)RbMg11 cuboctahedra; faces with three equivalent Mg(1)Mg12 cuboctahedra; and faces with three equivalent Sn(1)Rb2Mg10 cuboctahedra. In the tenth 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 Rb(1)Mg10Sn2 cuboctahedra; corners with four equivalent Sn(1)Rb2Mg10 cuboctahedra; corners with six Mg(4,4)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(7)RbMg11 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; and faces with two equivalent Mg(7)RbMg11 cuboctahedra. In the eleventh Mg site, Mg(4) is bonded to two equivalent Mg(1); two equivalent Mg(2); two equivalent Mg(4); two Mg(5,5); two equivalent Mg(6); and two equivalent Mg(7) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Rb(1)Mg10Sn2 cuboctahedra; corners with four equivalent Sn(1)Rb2Mg10 cuboctahedra; corners with six Mg(4,4)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(7)RbMg11 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; and faces with two equivalent Mg(7)RbMg11 cuboctahedra. In the twelfth Mg site, Mg(5) is bonded in a 12-coordinate geometry to one Rb(1), one Mg(1), one Mg(2), one Mg(3), one Mg(4), two equivalent Mg(5), two equivalent Mg(6), two equivalent Mg(7), and one Sn(1) atom. In the thirteenth Mg site, Mg(5) is bonded in a 12-coordinate geometry to one Rb(1), one Mg(1), one Mg(2), one Mg(3), one Mg(4), two equivalent Mg(5), two equivalent Mg(6), two equivalent Mg(7), and one Sn(1) atom. Sn(1) is bonded to two equivalent Rb(1); two equivalent Mg(6); four Mg(3,3); and four Mg(5,5) atoms to form SnRb2Mg10 cuboctahedra that share corners with four equivalent Mg(2)Mg12 cuboctahedra; corners with six equivalent Sn(1)Rb2Mg10 cuboctahedra; corners with eight Mg(4,4,4)Mg12 cuboctahedra; edges with two equivalent Rb(1)Mg10Sn2 cuboctahedra; faces with two equivalent Rb(1)Mg10Sn2 cuboctahedra; faces with two equivalent Mg(1)Mg12 cuboctahedra; and faces with six equivalent Mg(7)RbMg11 cuboctahedra. is represented by the CIF card [CIF]
data_RbMg14Sn
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.543
_cell_length_b   6.669
_cell_length_c   10.649
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   120.639
_symmetry_Int_Tables_number   1
_cell_volume   399.784
_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
  Rb  Rb0  1  0.169  0.834  0.125  1.0
  Mg  Mg1  1  0.165  0.332  0.625  1.0
  Mg  Mg2  1  0.168  0.834  0.625  1.0
  Mg  Mg3  1  0.665  0.338  0.125  1.0
  Mg  Mg4  1  0.669  0.332  0.625  1.0
  Mg  Mg5  1  0.665  0.827  0.125  1.0
  Mg  Mg6  1  0.669  0.837  0.625  1.0
  Mg  Mg7  1  0.335  0.177  0.388  1.0
  Mg  Mg8  1  0.335  0.177  0.862  1.0
  Mg  Mg9  1  0.335  0.659  0.388  1.0
  Mg  Mg10  1  0.335  0.659  0.862  1.0
  Mg  Mg11  1  0.832  0.166  0.371  1.0
  Mg  Mg12  1  0.832  0.166  0.879  1.0
  Mg  Mg13  1  0.821  0.660  0.391  1.0
  Mg  Mg14  1  0.821  0.660  0.859  1.0
  Sn  Sn15  1  0.182  0.341  0.125  1.0
[/CIF]
.
The structure described by RbMg14Sn crystallizes in the orthorhombic Amm2 space group. Rb(1) is bonded to two equivalent Mg(7); four Mg(3,3); four Mg(5,5); and two equivalent Sn(1) atoms to form RbMg10Sn2 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra; corners with six equivalent Rb(1)Mg10Sn2 cuboctahedra; corners with eight Mg(4,4,4)Mg12 cuboctahedra; edges with two equivalent Sn(1)Rb2Mg10 cuboctahedra; edges with four equivalent Mg(7)RbMg11 cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with two equivalent Mg(7)RbMg11 cuboctahedra; and faces with two equivalent Sn(1)Rb2Mg10 cuboctahedra. There are thirteen inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Mg(2); two equivalent Mg(6); four Mg(4,4,4); and four Mg(5,5) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Rb(1)Mg10Sn2 cuboctahedra; corners with six equivalent Mg(1)Mg12 cuboctahedra; edges with two equivalent Mg(2)Mg12 cuboctahedra; edges with four Mg(4,4,4)Mg12 cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with two equivalent Sn(1)Rb2Mg10 cuboctahedra; faces with four Mg(4,4,4)Mg12 cuboctahedra; and faces with six equivalent Mg(7)RbMg11 cuboctahedra. In the second Mg site, Mg(2) is bonded to two equivalent Mg(1); two equivalent Mg(7); four Mg(4,4,4); and four Mg(5,5) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Sn(1)Rb2Mg10 cuboctahedra; corners with six equivalent Mg(2)Mg12 cuboctahedra; edges with two equivalent Mg(1)Mg12 cuboctahedra; edges with four Mg(4,4,4)Mg12 cuboctahedra; edges with four equivalent Mg(7)RbMg11 cuboctahedra; faces with two equivalent Rb(1)Mg10Sn2 cuboctahedra; faces with two equivalent Mg(1)Mg12 cuboctahedra; faces with two equivalent Mg(7)RbMg11 cuboctahedra; and faces with four Mg(4,4,4)Mg12 cuboctahedra. In the third Mg site, Mg(3) is bonded in a 12-coordinate geometry to two equivalent Rb(1), two equivalent Mg(3), two equivalent Mg(5), two equivalent Mg(6), two equivalent Mg(7), and two equivalent Sn(1) 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 Rb(1)Mg10Sn2 cuboctahedra; corners with four equivalent Sn(1)Rb2Mg10 cuboctahedra; corners with six Mg(4,4)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(7)RbMg11 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; and faces with two equivalent Mg(7)RbMg11 cuboctahedra. In the fifth Mg site, Mg(3) is bonded in a 12-coordinate geometry to two equivalent Rb(1); two equivalent Mg(3); two Mg(5,5); two equivalent Mg(6); two equivalent Mg(7); and two equivalent Sn(1) atoms. In the sixth Mg site, Mg(5) is bonded in a 12-coordinate geometry to one Rb(1), one Mg(1), one Mg(2), one Mg(3), one Mg(4), two equivalent Mg(5), two equivalent Mg(6), two equivalent Mg(7), and one Sn(1) atom. In the seventh Mg site, Mg(5) is bonded in a 12-coordinate geometry to one Rb(1), one Mg(1), one Mg(2), one Mg(3), one Mg(4), two equivalent Mg(5), two equivalent Mg(6), two equivalent Mg(7), and one Sn(1) atom. In the eighth Mg site, Mg(6) is bonded in a distorted single-bond geometry to one Mg(1); two Mg(3,3); two Mg(4,4); two equivalent Mg(7); four Mg(5,5,5); and one Sn(1) atom. In the ninth Mg site, Mg(7) is bonded to one Rb(1); one Mg(2); two Mg(3,3); two Mg(4,4); two equivalent Mg(6); and four Mg(5,5,5) atoms to form distorted MgRbMg11 cuboctahedra that share corners with six equivalent Mg(7)RbMg11 cuboctahedra; edges with two equivalent Rb(1)Mg10Sn2 cuboctahedra; edges with two equivalent Mg(2)Mg12 cuboctahedra; edges with four Mg(4,4,4)Mg12 cuboctahedra;  a faceface with one Rb(1)Mg10Sn2 cuboctahedra;  a faceface with one Mg(2)Mg12 cuboctahedra; faces with two Mg(4,4)Mg12 cuboctahedra; faces with two equivalent Mg(7)RbMg11 cuboctahedra; faces with three equivalent Mg(1)Mg12 cuboctahedra; and faces with three equivalent Sn(1)Rb2Mg10 cuboctahedra. In the tenth 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 Rb(1)Mg10Sn2 cuboctahedra; corners with four equivalent Sn(1)Rb2Mg10 cuboctahedra; corners with six Mg(4,4)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(7)RbMg11 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; and faces with two equivalent Mg(7)RbMg11 cuboctahedra. In the eleventh Mg site, Mg(4) is bonded to two equivalent Mg(1); two equivalent Mg(2); two equivalent Mg(4); two Mg(5,5); two equivalent Mg(6); and two equivalent Mg(7) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Rb(1)Mg10Sn2 cuboctahedra; corners with four equivalent Sn(1)Rb2Mg10 cuboctahedra; corners with six Mg(4,4)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(7)RbMg11 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; and faces with two equivalent Mg(7)RbMg11 cuboctahedra. In the twelfth Mg site, Mg(5) is bonded in a 12-coordinate geometry to one Rb(1), one Mg(1), one Mg(2), one Mg(3), one Mg(4), two equivalent Mg(5), two equivalent Mg(6), two equivalent Mg(7), and one Sn(1) atom. In the thirteenth Mg site, Mg(5) is bonded in a 12-coordinate geometry to one Rb(1), one Mg(1), one Mg(2), one Mg(3), one Mg(4), two equivalent Mg(5), two equivalent Mg(6), two equivalent Mg(7), and one Sn(1) atom. Sn(1) is bonded to two equivalent Rb(1); two equivalent Mg(6); four Mg(3,3); and four Mg(5,5) atoms to form SnRb2Mg10 cuboctahedra that share corners with four equivalent Mg(2)Mg12 cuboctahedra; corners with six equivalent Sn(1)Rb2Mg10 cuboctahedra; corners with eight Mg(4,4,4)Mg12 cuboctahedra; edges with two equivalent Rb(1)Mg10Sn2 cuboctahedra; faces with two equivalent Rb(1)Mg10Sn2 cuboctahedra; faces with two equivalent Mg(1)Mg12 cuboctahedra; and faces with six equivalent Mg(7)RbMg11 cuboctahedra. is represented by the CIF card [CIF]
data_RbMg14Sn
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.543
_cell_length_b   6.669
_cell_length_c   10.649
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   120.639
_symmetry_Int_Tables_number   1
_cell_volume   399.784
_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
  Rb  Rb0  1  0.169  0.834  0.125  1.0
  Mg  Mg1  1  0.165  0.332  0.625  1.0
  Mg  Mg2  1  0.168  0.834  0.625  1.0
  Mg  Mg3  1  0.665  0.338  0.125  1.0
  Mg  Mg4  1  0.669  0.332  0.625  1.0
  Mg  Mg5  1  0.665  0.827  0.125  1.0
  Mg  Mg6  1  0.669  0.837  0.625  1.0
  Mg  Mg7  1  0.335  0.177  0.388  1.0
  Mg  Mg8  1  0.335  0.177  0.862  1.0
  Mg  Mg9  1  0.335  0.659  0.388  1.0
  Mg  Mg10  1  0.335  0.659  0.862  1.0
  Mg  Mg11  1  0.832  0.166  0.371  1.0
  Mg  Mg12  1  0.832  0.166  0.879  1.0
  Mg  Mg13  1  0.821  0.660  0.391  1.0
  Mg  Mg14  1  0.821  0.660  0.859  1.0
  Sn  Sn15  1  0.182  0.341  0.125  1.0
[/CIF]
.