The structure described by CaMg14Zn crystallizes in the hexagonal P-6m2 space group. Ca(1) is bonded to six Mg(1,1) and six Mg(3,3) atoms to form CaMg12 cuboctahedra that share corners with six equivalent Ca(1)Mg12 cuboctahedra; corners with twelve equivalent Mg(2)Mg10Zn2 cuboctahedra; edges with six Mg(1,1)Ca2Mg10 cuboctahedra; edges with twelve Mg(3,3)CaMg10Zn cuboctahedra; faces with two equivalent Zn(1)Mg12 cuboctahedra; faces with six Mg(1,1)Ca2Mg10 cuboctahedra; faces with six Mg(3,3)CaMg10Zn cuboctahedra; and faces with six equivalent Mg(4)Mg12 cuboctahedra. There are six inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Ca(1); two equivalent Mg(4); four Mg(1,1); and four Mg(3,3) atoms to form distorted MgCa2Mg10 cuboctahedra that share corners with four equivalent Zn(1)Mg12 cuboctahedra; corners with six equivalent Mg(1)Ca2Mg10 cuboctahedra; corners with eight equivalent Mg(2)Mg10Zn2 cuboctahedra; edges with two equivalent Ca(1)Mg12 cuboctahedra; edges with four Mg(1,1)Ca2Mg10 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with eight Mg(3,3)CaMg10Zn cuboctahedra; faces with two equivalent Ca(1)Mg12 cuboctahedra; faces with two equivalent Mg(2)Mg10Zn2 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with four Mg(1,1)Ca2Mg10 cuboctahedra; and faces with ten Mg(3,3)CaMg10Zn 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 Zn(1) atoms to form MgMg10Zn2 cuboctahedra that share corners with four equivalent Ca(1)Mg12 cuboctahedra; corners with six equivalent Mg(2)Mg10Zn2 cuboctahedra; corners with eight Mg(1,1)Ca2Mg10 cuboctahedra; edges with two equivalent Zn(1)Mg12 cuboctahedra; edges with four equivalent Mg(2)Mg10Zn2 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with eight Mg(3,3)CaMg10Zn cuboctahedra; faces with two equivalent Mg(1)Ca2Mg10 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Zn(1)Mg12 cuboctahedra; faces with four equivalent Mg(2)Mg10Zn2 cuboctahedra; and faces with ten Mg(3,3)CaMg10Zn cuboctahedra. In the third Mg site, Mg(1) is bonded to two equivalent Ca(1), two equivalent Mg(4), four equivalent Mg(1), and four equivalent Mg(3) atoms to form distorted MgCa2Mg10 cuboctahedra that share corners with four equivalent Zn(1)Mg12 cuboctahedra; corners with six equivalent Mg(1)Ca2Mg10 cuboctahedra; corners with eight equivalent Mg(2)Mg10Zn2 cuboctahedra; edges with two equivalent Ca(1)Mg12 cuboctahedra; edges with four equivalent Mg(1)Ca2Mg10 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with eight equivalent Mg(3)CaMg10Zn cuboctahedra; faces with two equivalent Ca(1)Mg12 cuboctahedra; faces with two equivalent Mg(2)Mg10Zn2 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with four equivalent Mg(1)Ca2Mg10 cuboctahedra; and faces with ten Mg(3,3)CaMg10Zn cuboctahedra. In the fourth Mg site, Mg(3) is bonded to one Ca(1); two Mg(1,1); two equivalent Mg(2); two equivalent Mg(4); four Mg(3,3); and one Zn(1) atom to form distorted MgCaMg10Zn cuboctahedra that share corners with four equivalent Mg(4)Mg12 cuboctahedra; corners with fourteen Mg(3,3)CaMg10Zn cuboctahedra; edges with two equivalent Ca(1)Mg12 cuboctahedra; edges with two equivalent Mg(4)Mg12 cuboctahedra; edges with two equivalent Zn(1)Mg12 cuboctahedra; edges with four Mg(1,1)Ca2Mg10 cuboctahedra; edges with four Mg(3,3)CaMg10Zn cuboctahedra; edges with four equivalent Mg(2)Mg10Zn2 cuboctahedra;  a faceface with one Ca(1)Mg12 cuboctahedra;  a faceface with one Zn(1)Mg12 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with five Mg(1,1)Ca2Mg10 cuboctahedra; faces with five equivalent Mg(2)Mg10Zn2 cuboctahedra; and faces with six Mg(3,3)CaMg10Zn cuboctahedra. In the fifth Mg site, Mg(3) is bonded to one Ca(1), two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(4), four equivalent Mg(3), and one Zn(1) atom to form distorted MgCaMg10Zn cuboctahedra that share corners with four equivalent Mg(4)Mg12 cuboctahedra; corners with fourteen Mg(3,3)CaMg10Zn cuboctahedra; edges with two equivalent Ca(1)Mg12 cuboctahedra; edges with two equivalent Mg(4)Mg12 cuboctahedra; edges with two equivalent Zn(1)Mg12 cuboctahedra; edges with four equivalent Mg(1)Ca2Mg10 cuboctahedra; edges with four equivalent Mg(3)CaMg10Zn cuboctahedra; edges with four equivalent Mg(2)Mg10Zn2 cuboctahedra;  a faceface with one Ca(1)Mg12 cuboctahedra;  a faceface with one Zn(1)Mg12 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with five Mg(1,1)Ca2Mg10 cuboctahedra; faces with five equivalent Mg(2)Mg10Zn2 cuboctahedra; and faces with six Mg(3,3)CaMg10Zn cuboctahedra. 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; corners with twelve Mg(3,3)CaMg10Zn cuboctahedra; edges with six Mg(1,1)Ca2Mg10 cuboctahedra; edges with six Mg(3,3)CaMg10Zn cuboctahedra; edges with six equivalent Mg(2)Mg10Zn2 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with three equivalent Ca(1)Mg12 cuboctahedra; faces with three Mg(1,1)Ca2Mg10 cuboctahedra; faces with three equivalent Mg(2)Mg10Zn2 cuboctahedra; faces with three equivalent Zn(1)Mg12 cuboctahedra; and faces with six Mg(3,3)CaMg10Zn cuboctahedra. Zn(1) is bonded to six equivalent Mg(2) and six Mg(3,3) atoms to form ZnMg12 cuboctahedra that share corners with six equivalent Zn(1)Mg12 cuboctahedra; corners with twelve Mg(1,1)Ca2Mg10 cuboctahedra; edges with six equivalent Mg(2)Mg10Zn2 cuboctahedra; edges with twelve Mg(3,3)CaMg10Zn cuboctahedra; faces with two equivalent Ca(1)Mg12 cuboctahedra; faces with six Mg(3,3)CaMg10Zn cuboctahedra; faces with six equivalent Mg(2)Mg10Zn2 cuboctahedra; and faces with six equivalent Mg(4)Mg12 cuboctahedra. is represented by the CIF card [CIF]
data_CaMg14Zn
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.429
_cell_length_b   6.429
_cell_length_c   10.418
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   120.000
_symmetry_Int_Tables_number   1
_cell_volume   372.929
_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
  Ca  Ca0  1  0.167  0.333  0.125  1.0
  Mg  Mg1  1  0.176  0.838  0.125  1.0
  Mg  Mg2  1  0.164  0.832  0.625  1.0
  Mg  Mg3  1  0.662  0.324  0.125  1.0
  Mg  Mg4  1  0.668  0.336  0.625  1.0
  Mg  Mg5  1  0.662  0.838  0.125  1.0
  Mg  Mg6  1  0.668  0.832  0.625  1.0
  Mg  Mg7  1  0.333  0.167  0.386  1.0
  Mg  Mg8  1  0.333  0.167  0.864  1.0
  Mg  Mg9  1  0.333  0.666  0.386  1.0
  Mg  Mg10  1  0.333  0.666  0.864  1.0
  Mg  Mg11  1  0.834  0.167  0.386  1.0
  Mg  Mg12  1  0.834  0.167  0.864  1.0
  Mg  Mg13  1  0.833  0.667  0.371  1.0
  Mg  Mg14  1  0.833  0.667  0.879  1.0
  Zn  Zn15  1  0.167  0.333  0.625  1.0
[/CIF]
.
The structure described by CaMg14Zn crystallizes in the hexagonal P-6m2 space group. Ca(1) is bonded to six Mg(1,1) and six Mg(3,3) atoms to form CaMg12 cuboctahedra that share corners with six equivalent Ca(1)Mg12 cuboctahedra; corners with twelve equivalent Mg(2)Mg10Zn2 cuboctahedra; edges with six Mg(1,1)Ca2Mg10 cuboctahedra; edges with twelve Mg(3,3)CaMg10Zn cuboctahedra; faces with two equivalent Zn(1)Mg12 cuboctahedra; faces with six Mg(1,1)Ca2Mg10 cuboctahedra; faces with six Mg(3,3)CaMg10Zn cuboctahedra; and faces with six equivalent Mg(4)Mg12 cuboctahedra. There are six inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Ca(1); two equivalent Mg(4); four Mg(1,1); and four Mg(3,3) atoms to form distorted MgCa2Mg10 cuboctahedra that share corners with four equivalent Zn(1)Mg12 cuboctahedra; corners with six equivalent Mg(1)Ca2Mg10 cuboctahedra; corners with eight equivalent Mg(2)Mg10Zn2 cuboctahedra; edges with two equivalent Ca(1)Mg12 cuboctahedra; edges with four Mg(1,1)Ca2Mg10 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with eight Mg(3,3)CaMg10Zn cuboctahedra; faces with two equivalent Ca(1)Mg12 cuboctahedra; faces with two equivalent Mg(2)Mg10Zn2 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with four Mg(1,1)Ca2Mg10 cuboctahedra; and faces with ten Mg(3,3)CaMg10Zn 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 Zn(1) atoms to form MgMg10Zn2 cuboctahedra that share corners with four equivalent Ca(1)Mg12 cuboctahedra; corners with six equivalent Mg(2)Mg10Zn2 cuboctahedra; corners with eight Mg(1,1)Ca2Mg10 cuboctahedra; edges with two equivalent Zn(1)Mg12 cuboctahedra; edges with four equivalent Mg(2)Mg10Zn2 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with eight Mg(3,3)CaMg10Zn cuboctahedra; faces with two equivalent Mg(1)Ca2Mg10 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Zn(1)Mg12 cuboctahedra; faces with four equivalent Mg(2)Mg10Zn2 cuboctahedra; and faces with ten Mg(3,3)CaMg10Zn cuboctahedra. In the third Mg site, Mg(1) is bonded to two equivalent Ca(1), two equivalent Mg(4), four equivalent Mg(1), and four equivalent Mg(3) atoms to form distorted MgCa2Mg10 cuboctahedra that share corners with four equivalent Zn(1)Mg12 cuboctahedra; corners with six equivalent Mg(1)Ca2Mg10 cuboctahedra; corners with eight equivalent Mg(2)Mg10Zn2 cuboctahedra; edges with two equivalent Ca(1)Mg12 cuboctahedra; edges with four equivalent Mg(1)Ca2Mg10 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with eight equivalent Mg(3)CaMg10Zn cuboctahedra; faces with two equivalent Ca(1)Mg12 cuboctahedra; faces with two equivalent Mg(2)Mg10Zn2 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with four equivalent Mg(1)Ca2Mg10 cuboctahedra; and faces with ten Mg(3,3)CaMg10Zn cuboctahedra. In the fourth Mg site, Mg(3) is bonded to one Ca(1); two Mg(1,1); two equivalent Mg(2); two equivalent Mg(4); four Mg(3,3); and one Zn(1) atom to form distorted MgCaMg10Zn cuboctahedra that share corners with four equivalent Mg(4)Mg12 cuboctahedra; corners with fourteen Mg(3,3)CaMg10Zn cuboctahedra; edges with two equivalent Ca(1)Mg12 cuboctahedra; edges with two equivalent Mg(4)Mg12 cuboctahedra; edges with two equivalent Zn(1)Mg12 cuboctahedra; edges with four Mg(1,1)Ca2Mg10 cuboctahedra; edges with four Mg(3,3)CaMg10Zn cuboctahedra; edges with four equivalent Mg(2)Mg10Zn2 cuboctahedra;  a faceface with one Ca(1)Mg12 cuboctahedra;  a faceface with one Zn(1)Mg12 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with five Mg(1,1)Ca2Mg10 cuboctahedra; faces with five equivalent Mg(2)Mg10Zn2 cuboctahedra; and faces with six Mg(3,3)CaMg10Zn cuboctahedra. In the fifth Mg site, Mg(3) is bonded to one Ca(1), two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(4), four equivalent Mg(3), and one Zn(1) atom to form distorted MgCaMg10Zn cuboctahedra that share corners with four equivalent Mg(4)Mg12 cuboctahedra; corners with fourteen Mg(3,3)CaMg10Zn cuboctahedra; edges with two equivalent Ca(1)Mg12 cuboctahedra; edges with two equivalent Mg(4)Mg12 cuboctahedra; edges with two equivalent Zn(1)Mg12 cuboctahedra; edges with four equivalent Mg(1)Ca2Mg10 cuboctahedra; edges with four equivalent Mg(3)CaMg10Zn cuboctahedra; edges with four equivalent Mg(2)Mg10Zn2 cuboctahedra;  a faceface with one Ca(1)Mg12 cuboctahedra;  a faceface with one Zn(1)Mg12 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with five Mg(1,1)Ca2Mg10 cuboctahedra; faces with five equivalent Mg(2)Mg10Zn2 cuboctahedra; and faces with six Mg(3,3)CaMg10Zn cuboctahedra. 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; corners with twelve Mg(3,3)CaMg10Zn cuboctahedra; edges with six Mg(1,1)Ca2Mg10 cuboctahedra; edges with six Mg(3,3)CaMg10Zn cuboctahedra; edges with six equivalent Mg(2)Mg10Zn2 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with three equivalent Ca(1)Mg12 cuboctahedra; faces with three Mg(1,1)Ca2Mg10 cuboctahedra; faces with three equivalent Mg(2)Mg10Zn2 cuboctahedra; faces with three equivalent Zn(1)Mg12 cuboctahedra; and faces with six Mg(3,3)CaMg10Zn cuboctahedra. Zn(1) is bonded to six equivalent Mg(2) and six Mg(3,3) atoms to form ZnMg12 cuboctahedra that share corners with six equivalent Zn(1)Mg12 cuboctahedra; corners with twelve Mg(1,1)Ca2Mg10 cuboctahedra; edges with six equivalent Mg(2)Mg10Zn2 cuboctahedra; edges with twelve Mg(3,3)CaMg10Zn cuboctahedra; faces with two equivalent Ca(1)Mg12 cuboctahedra; faces with six Mg(3,3)CaMg10Zn cuboctahedra; faces with six equivalent Mg(2)Mg10Zn2 cuboctahedra; and faces with six equivalent Mg(4)Mg12 cuboctahedra. is represented by the CIF card [CIF]
data_CaMg14Zn
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.429
_cell_length_b   6.429
_cell_length_c   10.418
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   120.000
_symmetry_Int_Tables_number   1
_cell_volume   372.929
_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
  Ca  Ca0  1  0.167  0.333  0.125  1.0
  Mg  Mg1  1  0.176  0.838  0.125  1.0
  Mg  Mg2  1  0.164  0.832  0.625  1.0
  Mg  Mg3  1  0.662  0.324  0.125  1.0
  Mg  Mg4  1  0.668  0.336  0.625  1.0
  Mg  Mg5  1  0.662  0.838  0.125  1.0
  Mg  Mg6  1  0.668  0.832  0.625  1.0
  Mg  Mg7  1  0.333  0.167  0.386  1.0
  Mg  Mg8  1  0.333  0.167  0.864  1.0
  Mg  Mg9  1  0.333  0.666  0.386  1.0
  Mg  Mg10  1  0.333  0.666  0.864  1.0
  Mg  Mg11  1  0.834  0.167  0.386  1.0
  Mg  Mg12  1  0.834  0.167  0.864  1.0
  Mg  Mg13  1  0.833  0.667  0.371  1.0
  Mg  Mg14  1  0.833  0.667  0.879  1.0
  Zn  Zn15  1  0.167  0.333  0.625  1.0
[/CIF]
.