The material structure described by BaMg14Mn crystallizes in the hexagonal P-6m2 space group. Ba(1) is bonded to six Mg(2,2) and six equivalent Mg(3) atoms to form BaMg12 cuboctahedra that share corners with six equivalent Ba(1)Mg12 cuboctahedra, corners with twelve equivalent Mg(1)Mg10Mn2 cuboctahedra, faces with two equivalent Mn(1)Mg12 cuboctahedra, and faces with six equivalent Mg(4)Mg12 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 equivalent Mg(3), and two equivalent Mn(1) atoms to form distorted MgMg10Mn2 cuboctahedra that share corners with four equivalent Ba(1)Mg12 cuboctahedra, corners with six equivalent Mg(1)Mg10Mn2 cuboctahedra, edges with two equivalent Mn(1)Mg12 cuboctahedra, edges with four equivalent Mg(1)Mg10Mn2 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Mn(1)Mg12 cuboctahedra, and faces with four equivalent Mg(1)Mg10Mn2 cuboctahedra. In the second Mg site, Mg(2) is bonded in a 12-coordinate geometry to two equivalent Ba(1); two equivalent Mg(4); four Mg(2,2); and four equivalent Mg(3) atoms. In the third Mg site, Mg(2) is bonded in a 12-coordinate geometry to two equivalent Ba(1), two equivalent Mg(4), four equivalent Mg(2), and four equivalent Mg(3) atoms. In the fourth Mg site, Mg(3) is bonded in a 12-coordinate geometry to one Ba(1), two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(4), four equivalent Mg(3), and one Mn(1) atom. In the fifth Mg site, Mg(4) is bonded to three equivalent Mg(1); three Mg(2,2); and six equivalent Mg(3) atoms to form MgMg12 cuboctahedra that share corners with six equivalent Mg(4)Mg12 cuboctahedra, edges with six equivalent Mg(1)Mg10Mn2 cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with three equivalent Ba(1)Mg12 cuboctahedra, faces with three equivalent Mg(1)Mg10Mn2 cuboctahedra, and faces with three equivalent Mn(1)Mg12 cuboctahedra. Mn(1) is bonded to six equivalent Mg(1) and six equivalent Mg(3) atoms to form MnMg12 cuboctahedra that share corners with six equivalent Mn(1)Mg12 cuboctahedra, edges with six equivalent Mg(1)Mg10Mn2 cuboctahedra, faces with two equivalent Ba(1)Mg12 cuboctahedra, faces with six equivalent Mg(1)Mg10Mn2 cuboctahedra, and faces with six equivalent Mg(4)Mg12 cuboctahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_BaMg14Mn
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.592
_cell_length_b   6.592
_cell_length_c   10.498
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   120.000
_symmetry_Int_Tables_number   1
_cell_volume   395.020
_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
  Ba  Ba0  1  0.167  0.333  0.625  1.0
  Mg  Mg1  1  0.156  0.828  0.125  1.0
  Mg  Mg2  1  0.182  0.841  0.625  1.0
  Mg  Mg3  1  0.672  0.344  0.125  1.0
  Mg  Mg4  1  0.659  0.318  0.625  1.0
  Mg  Mg5  1  0.672  0.828  0.125  1.0
  Mg  Mg6  1  0.659  0.841  0.625  1.0
  Mg  Mg7  1  0.333  0.167  0.349  1.0
  Mg  Mg8  1  0.333  0.167  0.901  1.0
  Mg  Mg9  1  0.333  0.666  0.349  1.0
  Mg  Mg10  1  0.333  0.666  0.901  1.0
  Mg  Mg11  1  0.834  0.167  0.349  1.0
  Mg  Mg12  1  0.834  0.167  0.901  1.0
  Mg  Mg13  1  0.833  0.667  0.384  1.0
  Mg  Mg14  1  0.833  0.667  0.866  1.0
  Mn  Mn15  1  0.167  0.333  0.125  1.0
[/CIF]
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The material structure described by BaMg14Mn crystallizes in the hexagonal P-6m2 space group. Ba(1) is bonded to six Mg(2,2) and six equivalent Mg(3) atoms to form BaMg12 cuboctahedra that share corners with six equivalent Ba(1)Mg12 cuboctahedra, corners with twelve equivalent Mg(1)Mg10Mn2 cuboctahedra, faces with two equivalent Mn(1)Mg12 cuboctahedra, and faces with six equivalent Mg(4)Mg12 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 equivalent Mg(3), and two equivalent Mn(1) atoms to form distorted MgMg10Mn2 cuboctahedra that share corners with four equivalent Ba(1)Mg12 cuboctahedra, corners with six equivalent Mg(1)Mg10Mn2 cuboctahedra, edges with two equivalent Mn(1)Mg12 cuboctahedra, edges with four equivalent Mg(1)Mg10Mn2 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Mn(1)Mg12 cuboctahedra, and faces with four equivalent Mg(1)Mg10Mn2 cuboctahedra. In the second Mg site, Mg(2) is bonded in a 12-coordinate geometry to two equivalent Ba(1); two equivalent Mg(4); four Mg(2,2); and four equivalent Mg(3) atoms. In the third Mg site, Mg(2) is bonded in a 12-coordinate geometry to two equivalent Ba(1), two equivalent Mg(4), four equivalent Mg(2), and four equivalent Mg(3) atoms. In the fourth Mg site, Mg(3) is bonded in a 12-coordinate geometry to one Ba(1), two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(4), four equivalent Mg(3), and one Mn(1) atom. In the fifth Mg site, Mg(4) is bonded to three equivalent Mg(1); three Mg(2,2); and six equivalent Mg(3) atoms to form MgMg12 cuboctahedra that share corners with six equivalent Mg(4)Mg12 cuboctahedra, edges with six equivalent Mg(1)Mg10Mn2 cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with three equivalent Ba(1)Mg12 cuboctahedra, faces with three equivalent Mg(1)Mg10Mn2 cuboctahedra, and faces with three equivalent Mn(1)Mg12 cuboctahedra. Mn(1) is bonded to six equivalent Mg(1) and six equivalent Mg(3) atoms to form MnMg12 cuboctahedra that share corners with six equivalent Mn(1)Mg12 cuboctahedra, edges with six equivalent Mg(1)Mg10Mn2 cuboctahedra, faces with two equivalent Ba(1)Mg12 cuboctahedra, faces with six equivalent Mg(1)Mg10Mn2 cuboctahedra, and faces with six equivalent Mg(4)Mg12 cuboctahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_BaMg14Mn
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.592
_cell_length_b   6.592
_cell_length_c   10.498
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   120.000
_symmetry_Int_Tables_number   1
_cell_volume   395.020
_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
  Ba  Ba0  1  0.167  0.333  0.625  1.0
  Mg  Mg1  1  0.156  0.828  0.125  1.0
  Mg  Mg2  1  0.182  0.841  0.625  1.0
  Mg  Mg3  1  0.672  0.344  0.125  1.0
  Mg  Mg4  1  0.659  0.318  0.625  1.0
  Mg  Mg5  1  0.672  0.828  0.125  1.0
  Mg  Mg6  1  0.659  0.841  0.625  1.0
  Mg  Mg7  1  0.333  0.167  0.349  1.0
  Mg  Mg8  1  0.333  0.167  0.901  1.0
  Mg  Mg9  1  0.333  0.666  0.349  1.0
  Mg  Mg10  1  0.333  0.666  0.901  1.0
  Mg  Mg11  1  0.834  0.167  0.349  1.0
  Mg  Mg12  1  0.834  0.167  0.901  1.0
  Mg  Mg13  1  0.833  0.667  0.384  1.0
  Mg  Mg14  1  0.833  0.667  0.866  1.0
  Mn  Mn15  1  0.167  0.333  0.125  1.0
[/CIF]
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