The compound described by Mg14ZnB crystallizes in the hexagonal P-6m2 space group. There are five inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Mg(4); four Mg(1,1); four equivalent Mg(3); and two equivalent Zn(1) atoms to form distorted MgMg10Zn2 cuboctahedra that share corners with six equivalent Mg(1)Mg10Zn2 cuboctahedra; edges with two equivalent Zn(1)Mg12 cuboctahedra; edges with four Mg(1,1)Mg10Zn2 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with eight equivalent Mg(3)Mg10ZnB cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Zn(1)Mg12 cuboctahedra; faces with four Mg(1,1)Mg10Zn2 cuboctahedra; and faces with ten equivalent Mg(3)Mg10ZnB cuboctahedra. In the second Mg site, Mg(2) is bonded in a 12-coordinate geometry to two equivalent Mg(4) and four equivalent Mg(3) atoms. In the third Mg site, Mg(1) is bonded to two equivalent Mg(4), four equivalent Mg(1), four equivalent Mg(3), and two equivalent Zn(1) atoms to form distorted MgMg10Zn2 cuboctahedra that share corners with six equivalent Mg(1)Mg10Zn2 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 equivalent Mg(3)Mg10ZnB cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Zn(1)Mg12 cuboctahedra, faces with four equivalent Mg(1)Mg10Zn2 cuboctahedra, and faces with ten equivalent Mg(3)Mg10ZnB cuboctahedra. In the fourth Mg site, Mg(3) is bonded to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(4), four equivalent Mg(3), one Zn(1), and one B(1) atom to form distorted MgMg10ZnB cuboctahedra that share corners with four equivalent Mg(4)Mg12 cuboctahedra; corners with fourteen equivalent Mg(3)Mg10ZnB 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(3)Mg10ZnB cuboctahedra;  a faceface with one Zn(1)Mg12 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with five Mg(1,1)Mg10Zn2 cuboctahedra; and faces with six equivalent Mg(3)Mg10ZnB cuboctahedra. In the fifth Mg site, Mg(4) is bonded to three Mg(1,1); three equivalent Mg(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)Mg10ZnB cuboctahedra; edges with six Mg(1,1)Mg10Zn2 cuboctahedra; edges with six equivalent Mg(3)Mg10ZnB cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with three Mg(1,1)Mg10Zn2 cuboctahedra; faces with three equivalent Zn(1)Mg12 cuboctahedra; and faces with six equivalent Mg(3)Mg10ZnB cuboctahedra. Zn(1) is bonded to six Mg(1,1) and six equivalent Mg(3) atoms to form ZnMg12 cuboctahedra that share corners with six equivalent Zn(1)Mg12 cuboctahedra; edges with six Mg(1,1)Mg10Zn2 cuboctahedra; edges with twelve equivalent Mg(3)Mg10ZnB cuboctahedra; faces with six Mg(1,1)Mg10Zn2 cuboctahedra; faces with six equivalent Mg(3)Mg10ZnB cuboctahedra; and faces with six equivalent Mg(4)Mg12 cuboctahedra. B(1) is bonded in a 6-coordinate geometry to six equivalent Mg(3) atoms. is represented by the CIF file [CIF]
data_Mg14ZnB
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.183
_cell_length_b   6.183
_cell_length_c   10.031
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   120.000
_symmetry_Int_Tables_number   1
_cell_volume   332.123
_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
  Mg  Mg0  1  0.169  0.834  0.125  1.0
  Mg  Mg1  1  0.164  0.832  0.625  1.0
  Mg  Mg2  1  0.666  0.331  0.125  1.0
  Mg  Mg3  1  0.668  0.336  0.625  1.0
  Mg  Mg4  1  0.666  0.834  0.125  1.0
  Mg  Mg5  1  0.668  0.832  0.625  1.0
  Mg  Mg6  1  0.327  0.173  0.382  1.0
  Mg  Mg7  1  0.327  0.173  0.868  1.0
  Mg  Mg8  1  0.327  0.655  0.382  1.0
  Mg  Mg9  1  0.327  0.655  0.868  1.0
  Mg  Mg10  1  0.845  0.173  0.382  1.0
  Mg  Mg11  1  0.845  0.173  0.868  1.0
  Mg  Mg12  1  0.833  0.667  0.372  1.0
  Mg  Mg13  1  0.833  0.667  0.878  1.0
  Zn  Zn14  1  0.167  0.333  0.125  1.0
  B  B15  1  0.167  0.333  0.625  1.0
[/CIF]
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The compound described by Mg14ZnB crystallizes in the hexagonal P-6m2 space group. There are five inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Mg(4); four Mg(1,1); four equivalent Mg(3); and two equivalent Zn(1) atoms to form distorted MgMg10Zn2 cuboctahedra that share corners with six equivalent Mg(1)Mg10Zn2 cuboctahedra; edges with two equivalent Zn(1)Mg12 cuboctahedra; edges with four Mg(1,1)Mg10Zn2 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with eight equivalent Mg(3)Mg10ZnB cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Zn(1)Mg12 cuboctahedra; faces with four Mg(1,1)Mg10Zn2 cuboctahedra; and faces with ten equivalent Mg(3)Mg10ZnB cuboctahedra. In the second Mg site, Mg(2) is bonded in a 12-coordinate geometry to two equivalent Mg(4) and four equivalent Mg(3) atoms. In the third Mg site, Mg(1) is bonded to two equivalent Mg(4), four equivalent Mg(1), four equivalent Mg(3), and two equivalent Zn(1) atoms to form distorted MgMg10Zn2 cuboctahedra that share corners with six equivalent Mg(1)Mg10Zn2 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 equivalent Mg(3)Mg10ZnB cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Zn(1)Mg12 cuboctahedra, faces with four equivalent Mg(1)Mg10Zn2 cuboctahedra, and faces with ten equivalent Mg(3)Mg10ZnB cuboctahedra. In the fourth Mg site, Mg(3) is bonded to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(4), four equivalent Mg(3), one Zn(1), and one B(1) atom to form distorted MgMg10ZnB cuboctahedra that share corners with four equivalent Mg(4)Mg12 cuboctahedra; corners with fourteen equivalent Mg(3)Mg10ZnB 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(3)Mg10ZnB cuboctahedra;  a faceface with one Zn(1)Mg12 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with five Mg(1,1)Mg10Zn2 cuboctahedra; and faces with six equivalent Mg(3)Mg10ZnB cuboctahedra. In the fifth Mg site, Mg(4) is bonded to three Mg(1,1); three equivalent Mg(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)Mg10ZnB cuboctahedra; edges with six Mg(1,1)Mg10Zn2 cuboctahedra; edges with six equivalent Mg(3)Mg10ZnB cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with three Mg(1,1)Mg10Zn2 cuboctahedra; faces with three equivalent Zn(1)Mg12 cuboctahedra; and faces with six equivalent Mg(3)Mg10ZnB cuboctahedra. Zn(1) is bonded to six Mg(1,1) and six equivalent Mg(3) atoms to form ZnMg12 cuboctahedra that share corners with six equivalent Zn(1)Mg12 cuboctahedra; edges with six Mg(1,1)Mg10Zn2 cuboctahedra; edges with twelve equivalent Mg(3)Mg10ZnB cuboctahedra; faces with six Mg(1,1)Mg10Zn2 cuboctahedra; faces with six equivalent Mg(3)Mg10ZnB cuboctahedra; and faces with six equivalent Mg(4)Mg12 cuboctahedra. B(1) is bonded in a 6-coordinate geometry to six equivalent Mg(3) atoms. is represented by the CIF file [CIF]
data_Mg14ZnB
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.183
_cell_length_b   6.183
_cell_length_c   10.031
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   120.000
_symmetry_Int_Tables_number   1
_cell_volume   332.123
_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
  Mg  Mg0  1  0.169  0.834  0.125  1.0
  Mg  Mg1  1  0.164  0.832  0.625  1.0
  Mg  Mg2  1  0.666  0.331  0.125  1.0
  Mg  Mg3  1  0.668  0.336  0.625  1.0
  Mg  Mg4  1  0.666  0.834  0.125  1.0
  Mg  Mg5  1  0.668  0.832  0.625  1.0
  Mg  Mg6  1  0.327  0.173  0.382  1.0
  Mg  Mg7  1  0.327  0.173  0.868  1.0
  Mg  Mg8  1  0.327  0.655  0.382  1.0
  Mg  Mg9  1  0.327  0.655  0.868  1.0
  Mg  Mg10  1  0.845  0.173  0.382  1.0
  Mg  Mg11  1  0.845  0.173  0.868  1.0
  Mg  Mg12  1  0.833  0.667  0.372  1.0
  Mg  Mg13  1  0.833  0.667  0.878  1.0
  Zn  Zn14  1  0.167  0.333  0.125  1.0
  B  B15  1  0.167  0.333  0.625  1.0
[/CIF]
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