The material described by NaMg14Zn crystallizes in the hexagonal P-6m2 space group. Na(1) is bonded to six equivalent Mg(2) and six Mg(3,3) atoms to form NaMg12 cuboctahedra that share corners with six equivalent Na(1)Mg12 cuboctahedra; corners with twelve equivalent Mg(1)Mg10Zn2 cuboctahedra; edges with six equivalent Mg(2)Na2Mg10 cuboctahedra; edges with twelve Mg(3,3)NaMg10Zn cuboctahedra; faces with two equivalent Zn(1)Mg12 cuboctahedra; faces with six equivalent Mg(4)Mg12 cuboctahedra; faces with six equivalent Mg(2)Na2Mg10 cuboctahedra; and faces with six Mg(3,3)NaMg10Zn 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 Mg(3,3); and two equivalent Zn(1) atoms to form MgMg10Zn2 cuboctahedra that share corners with four equivalent Na(1)Mg12 cuboctahedra; corners with six equivalent Mg(1)Mg10Zn2 cuboctahedra; corners with eight equivalent Mg(2)Na2Mg10 cuboctahedra; edges with two equivalent Zn(1)Mg12 cuboctahedra; edges with four equivalent Mg(1)Mg10Zn2 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with eight Mg(3,3)NaMg10Zn cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Mg(2)Na2Mg10 cuboctahedra; faces with two equivalent Zn(1)Mg12 cuboctahedra; faces with four equivalent Mg(1)Mg10Zn2 cuboctahedra; and faces with ten Mg(3,3)NaMg10Zn cuboctahedra. In the second Mg site, Mg(2) is bonded to two equivalent Na(1); two equivalent Mg(4); four equivalent Mg(2); and four Mg(3,3) atoms to form distorted MgNa2Mg10 cuboctahedra that share corners with four equivalent Zn(1)Mg12 cuboctahedra; corners with six equivalent Mg(2)Na2Mg10 cuboctahedra; corners with eight equivalent Mg(1)Mg10Zn2 cuboctahedra; edges with two equivalent Na(1)Mg12 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with four equivalent Mg(2)Na2Mg10 cuboctahedra; edges with eight Mg(3,3)NaMg10Zn cuboctahedra; faces with two equivalent Na(1)Mg12 cuboctahedra; faces with two equivalent Mg(1)Mg10Zn2 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with four equivalent Mg(2)Na2Mg10 cuboctahedra; and faces with ten Mg(3,3)NaMg10Zn cuboctahedra. In the third Mg site, Mg(3) is bonded to one Na(1); two equivalent Mg(1); two equivalent Mg(2); two equivalent Mg(4); four Mg(3,3); and one Zn(1) atom to form distorted MgNaMg10Zn cuboctahedra that share corners with four equivalent Mg(4)Mg12 cuboctahedra; corners with fourteen Mg(3,3)NaMg10Zn cuboctahedra; edges with two equivalent Na(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)Mg10Zn2 cuboctahedra; edges with four equivalent Mg(2)Na2Mg10 cuboctahedra; edges with four Mg(3,3)NaMg10Zn cuboctahedra;  a faceface with one Na(1)Mg12 cuboctahedra;  a faceface with one Zn(1)Mg12 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with five equivalent Mg(1)Mg10Zn2 cuboctahedra; faces with five equivalent Mg(2)Na2Mg10 cuboctahedra; and faces with six Mg(3,3)NaMg10Zn cuboctahedra. In the fourth Mg site, Mg(3) is bonded to one Na(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 MgNaMg10Zn cuboctahedra that share corners with four equivalent Mg(4)Mg12 cuboctahedra; corners with fourteen Mg(3,3)NaMg10Zn cuboctahedra; edges with two equivalent Na(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)Mg10Zn2 cuboctahedra; edges with four equivalent Mg(2)Na2Mg10 cuboctahedra; edges with four equivalent Mg(3)NaMg10Zn cuboctahedra;  a faceface with one Na(1)Mg12 cuboctahedra;  a faceface with one Zn(1)Mg12 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with five equivalent Mg(1)Mg10Zn2 cuboctahedra; faces with five equivalent Mg(2)Na2Mg10 cuboctahedra; and faces with six Mg(3,3)NaMg10Zn cuboctahedra. In the fifth Mg site, Mg(4) is bonded to three equivalent Mg(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)NaMg10Zn cuboctahedra; edges with six equivalent Mg(1)Mg10Zn2 cuboctahedra; edges with six equivalent Mg(2)Na2Mg10 cuboctahedra; edges with six Mg(3,3)NaMg10Zn cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with three equivalent Na(1)Mg12 cuboctahedra; faces with three equivalent Mg(1)Mg10Zn2 cuboctahedra; faces with three equivalent Mg(2)Na2Mg10 cuboctahedra; faces with three equivalent Zn(1)Mg12 cuboctahedra; and faces with six Mg(3,3)NaMg10Zn cuboctahedra. Zn(1) is bonded to six equivalent Mg(1) and six Mg(3,3) atoms to form ZnMg12 cuboctahedra that share corners with six equivalent Zn(1)Mg12 cuboctahedra; corners with twelve equivalent Mg(2)Na2Mg10 cuboctahedra; edges with six equivalent Mg(1)Mg10Zn2 cuboctahedra; edges with twelve Mg(3,3)NaMg10Zn cuboctahedra; faces with two equivalent Na(1)Mg12 cuboctahedra; faces with six equivalent Mg(1)Mg10Zn2 cuboctahedra; faces with six equivalent Mg(4)Mg12 cuboctahedra; and faces with six Mg(3,3)NaMg10Zn cuboctahedra. is represented by the CIF card [CIF]
data_NaMg14Zn
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.378
_cell_length_b   6.378
_cell_length_c   10.323
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   120.000
_symmetry_Int_Tables_number   1
_cell_volume   363.653
_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
  Na  Na0  1  0.167  0.333  0.625  1.0
  Mg  Mg1  1  0.165  0.832  0.125  1.0
  Mg  Mg2  1  0.169  0.834  0.625  1.0
  Mg  Mg3  1  0.668  0.335  0.125  1.0
  Mg  Mg4  1  0.666  0.331  0.625  1.0
  Mg  Mg5  1  0.668  0.832  0.125  1.0
  Mg  Mg6  1  0.666  0.834  0.625  1.0
  Mg  Mg7  1  0.333  0.167  0.368  1.0
  Mg  Mg8  1  0.333  0.167  0.882  1.0
  Mg  Mg9  1  0.333  0.665  0.368  1.0
  Mg  Mg10  1  0.333  0.665  0.882  1.0
  Mg  Mg11  1  0.835  0.167  0.368  1.0
  Mg  Mg12  1  0.835  0.167  0.882  1.0
  Mg  Mg13  1  0.833  0.667  0.377  1.0
  Mg  Mg14  1  0.833  0.667  0.873  1.0
  Zn  Zn15  1  0.167  0.333  0.125  1.0
[/CIF]
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The material described by NaMg14Zn crystallizes in the hexagonal P-6m2 space group. Na(1) is bonded to six equivalent Mg(2) and six Mg(3,3) atoms to form NaMg12 cuboctahedra that share corners with six equivalent Na(1)Mg12 cuboctahedra; corners with twelve equivalent Mg(1)Mg10Zn2 cuboctahedra; edges with six equivalent Mg(2)Na2Mg10 cuboctahedra; edges with twelve Mg(3,3)NaMg10Zn cuboctahedra; faces with two equivalent Zn(1)Mg12 cuboctahedra; faces with six equivalent Mg(4)Mg12 cuboctahedra; faces with six equivalent Mg(2)Na2Mg10 cuboctahedra; and faces with six Mg(3,3)NaMg10Zn 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 Mg(3,3); and two equivalent Zn(1) atoms to form MgMg10Zn2 cuboctahedra that share corners with four equivalent Na(1)Mg12 cuboctahedra; corners with six equivalent Mg(1)Mg10Zn2 cuboctahedra; corners with eight equivalent Mg(2)Na2Mg10 cuboctahedra; edges with two equivalent Zn(1)Mg12 cuboctahedra; edges with four equivalent Mg(1)Mg10Zn2 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with eight Mg(3,3)NaMg10Zn cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Mg(2)Na2Mg10 cuboctahedra; faces with two equivalent Zn(1)Mg12 cuboctahedra; faces with four equivalent Mg(1)Mg10Zn2 cuboctahedra; and faces with ten Mg(3,3)NaMg10Zn cuboctahedra. In the second Mg site, Mg(2) is bonded to two equivalent Na(1); two equivalent Mg(4); four equivalent Mg(2); and four Mg(3,3) atoms to form distorted MgNa2Mg10 cuboctahedra that share corners with four equivalent Zn(1)Mg12 cuboctahedra; corners with six equivalent Mg(2)Na2Mg10 cuboctahedra; corners with eight equivalent Mg(1)Mg10Zn2 cuboctahedra; edges with two equivalent Na(1)Mg12 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with four equivalent Mg(2)Na2Mg10 cuboctahedra; edges with eight Mg(3,3)NaMg10Zn cuboctahedra; faces with two equivalent Na(1)Mg12 cuboctahedra; faces with two equivalent Mg(1)Mg10Zn2 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with four equivalent Mg(2)Na2Mg10 cuboctahedra; and faces with ten Mg(3,3)NaMg10Zn cuboctahedra. In the third Mg site, Mg(3) is bonded to one Na(1); two equivalent Mg(1); two equivalent Mg(2); two equivalent Mg(4); four Mg(3,3); and one Zn(1) atom to form distorted MgNaMg10Zn cuboctahedra that share corners with four equivalent Mg(4)Mg12 cuboctahedra; corners with fourteen Mg(3,3)NaMg10Zn cuboctahedra; edges with two equivalent Na(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)Mg10Zn2 cuboctahedra; edges with four equivalent Mg(2)Na2Mg10 cuboctahedra; edges with four Mg(3,3)NaMg10Zn cuboctahedra;  a faceface with one Na(1)Mg12 cuboctahedra;  a faceface with one Zn(1)Mg12 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with five equivalent Mg(1)Mg10Zn2 cuboctahedra; faces with five equivalent Mg(2)Na2Mg10 cuboctahedra; and faces with six Mg(3,3)NaMg10Zn cuboctahedra. In the fourth Mg site, Mg(3) is bonded to one Na(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 MgNaMg10Zn cuboctahedra that share corners with four equivalent Mg(4)Mg12 cuboctahedra; corners with fourteen Mg(3,3)NaMg10Zn cuboctahedra; edges with two equivalent Na(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)Mg10Zn2 cuboctahedra; edges with four equivalent Mg(2)Na2Mg10 cuboctahedra; edges with four equivalent Mg(3)NaMg10Zn cuboctahedra;  a faceface with one Na(1)Mg12 cuboctahedra;  a faceface with one Zn(1)Mg12 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with five equivalent Mg(1)Mg10Zn2 cuboctahedra; faces with five equivalent Mg(2)Na2Mg10 cuboctahedra; and faces with six Mg(3,3)NaMg10Zn cuboctahedra. In the fifth Mg site, Mg(4) is bonded to three equivalent Mg(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)NaMg10Zn cuboctahedra; edges with six equivalent Mg(1)Mg10Zn2 cuboctahedra; edges with six equivalent Mg(2)Na2Mg10 cuboctahedra; edges with six Mg(3,3)NaMg10Zn cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with three equivalent Na(1)Mg12 cuboctahedra; faces with three equivalent Mg(1)Mg10Zn2 cuboctahedra; faces with three equivalent Mg(2)Na2Mg10 cuboctahedra; faces with three equivalent Zn(1)Mg12 cuboctahedra; and faces with six Mg(3,3)NaMg10Zn cuboctahedra. Zn(1) is bonded to six equivalent Mg(1) and six Mg(3,3) atoms to form ZnMg12 cuboctahedra that share corners with six equivalent Zn(1)Mg12 cuboctahedra; corners with twelve equivalent Mg(2)Na2Mg10 cuboctahedra; edges with six equivalent Mg(1)Mg10Zn2 cuboctahedra; edges with twelve Mg(3,3)NaMg10Zn cuboctahedra; faces with two equivalent Na(1)Mg12 cuboctahedra; faces with six equivalent Mg(1)Mg10Zn2 cuboctahedra; faces with six equivalent Mg(4)Mg12 cuboctahedra; and faces with six Mg(3,3)NaMg10Zn cuboctahedra. is represented by the CIF card [CIF]
data_NaMg14Zn
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.378
_cell_length_b   6.378
_cell_length_c   10.323
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   120.000
_symmetry_Int_Tables_number   1
_cell_volume   363.653
_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
  Na  Na0  1  0.167  0.333  0.625  1.0
  Mg  Mg1  1  0.165  0.832  0.125  1.0
  Mg  Mg2  1  0.169  0.834  0.625  1.0
  Mg  Mg3  1  0.668  0.335  0.125  1.0
  Mg  Mg4  1  0.666  0.331  0.625  1.0
  Mg  Mg5  1  0.668  0.832  0.125  1.0
  Mg  Mg6  1  0.666  0.834  0.625  1.0
  Mg  Mg7  1  0.333  0.167  0.368  1.0
  Mg  Mg8  1  0.333  0.167  0.882  1.0
  Mg  Mg9  1  0.333  0.665  0.368  1.0
  Mg  Mg10  1  0.333  0.665  0.882  1.0
  Mg  Mg11  1  0.835  0.167  0.368  1.0
  Mg  Mg12  1  0.835  0.167  0.882  1.0
  Mg  Mg13  1  0.833  0.667  0.377  1.0
  Mg  Mg14  1  0.833  0.667  0.873  1.0
  Zn  Zn15  1  0.167  0.333  0.125  1.0
[/CIF]
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