The material described by Mg14VMn crystallizes in the hexagonal P-6m2 space group. There are seven inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Mg(4); four Mg(1,1); four Mg(3,3); and two equivalent Mn(1) atoms to form MgMg10Mn2 cuboctahedra that share corners with four equivalent V(1)Mg12 cuboctahedra; corners with six equivalent Mg(1)Mg10Mn2 cuboctahedra; corners with eight Mg(2,2)Mg10V2 cuboctahedra; edges with two equivalent Mn(1)Mg12 cuboctahedra; edges with four Mg(1,1)Mg10Mn2 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with eight Mg(3,3)Mg10MnV cuboctahedra; faces with two equivalent Mg(2)Mg10V2 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Mn(1)Mg12 cuboctahedra; faces with four Mg(1,1)Mg10Mn2 cuboctahedra; and faces with ten Mg(3,3)Mg10MnV cuboctahedra. In the second Mg site, Mg(2) is bonded to two equivalent Mg(4); four Mg(2,2); four Mg(3,3); and two equivalent V(1) atoms to form MgMg10V2 cuboctahedra that share corners with four equivalent Mn(1)Mg12 cuboctahedra; corners with six equivalent Mg(2)Mg10V2 cuboctahedra; corners with eight Mg(1,1)Mg10Mn2 cuboctahedra; edges with two equivalent V(1)Mg12 cuboctahedra; edges with four Mg(2,2)Mg10V2 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with eight Mg(3,3)Mg10MnV cuboctahedra; faces with two equivalent Mg(1)Mg10Mn2 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent V(1)Mg12 cuboctahedra; faces with four Mg(2,2)Mg10V2 cuboctahedra; and faces with ten Mg(3,3)Mg10MnV cuboctahedra. 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 Mn(1) atoms to form MgMg10Mn2 cuboctahedra that share corners with four equivalent V(1)Mg12 cuboctahedra; corners with six equivalent Mg(1)Mg10Mn2 cuboctahedra; corners with eight equivalent Mg(2)Mg10V2 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; edges with eight equivalent Mg(3)Mg10MnV cuboctahedra; faces with two equivalent Mg(2)Mg10V2 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Mn(1)Mg12 cuboctahedra; faces with four equivalent Mg(1)Mg10Mn2 cuboctahedra; and faces with ten Mg(3,3)Mg10MnV cuboctahedra. In the fourth Mg site, Mg(2) is bonded to two equivalent Mg(4), four equivalent Mg(2), four equivalent Mg(3), and two equivalent V(1) atoms to form MgMg10V2 cuboctahedra that share corners with four equivalent Mn(1)Mg12 cuboctahedra; corners with six equivalent Mg(2)Mg10V2 cuboctahedra; corners with eight equivalent Mg(1)Mg10Mn2 cuboctahedra; edges with two equivalent V(1)Mg12 cuboctahedra; edges with four equivalent Mg(2)Mg10V2 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with eight equivalent Mg(3)Mg10MnV cuboctahedra; faces with two equivalent Mg(1)Mg10Mn2 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent V(1)Mg12 cuboctahedra; faces with four equivalent Mg(2)Mg10V2 cuboctahedra; and faces with ten Mg(3,3)Mg10MnV cuboctahedra. In the fifth Mg site, Mg(3) is bonded to two Mg(1,1); two Mg(2,2); two equivalent Mg(4); four Mg(3,3); one V(1); and one Mn(1) atom to form distorted MgMg10MnV cuboctahedra that share corners with four equivalent Mg(4)Mg12 cuboctahedra; corners with fourteen Mg(3,3)Mg10MnV cuboctahedra; edges with two equivalent Mg(4)Mg12 cuboctahedra; edges with two equivalent V(1)Mg12 cuboctahedra; edges with two equivalent Mn(1)Mg12 cuboctahedra; edges with four Mg(1,1)Mg10Mn2 cuboctahedra; edges with four Mg(3,3)Mg10MnV cuboctahedra; edges with four Mg(2,2)Mg10V2 cuboctahedra;  a faceface with one V(1)Mg12 cuboctahedra;  a faceface with one Mn(1)Mg12 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with five Mg(1,1)Mg10Mn2 cuboctahedra; faces with five Mg(2,2)Mg10V2 cuboctahedra; and faces with six Mg(3,3)Mg10MnV cuboctahedra. In the sixth Mg site, Mg(3) is bonded to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(4), four equivalent Mg(3), one V(1), and one Mn(1) atom to form distorted MgMg10MnV cuboctahedra that share corners with four equivalent Mg(4)Mg12 cuboctahedra; corners with fourteen Mg(3,3)Mg10MnV cuboctahedra; edges with two equivalent Mg(4)Mg12 cuboctahedra; edges with two equivalent V(1)Mg12 cuboctahedra; edges with two equivalent Mn(1)Mg12 cuboctahedra; edges with four equivalent Mg(1)Mg10Mn2 cuboctahedra; edges with four equivalent Mg(3)Mg10MnV cuboctahedra; edges with four equivalent Mg(2)Mg10V2 cuboctahedra;  a faceface with one V(1)Mg12 cuboctahedra;  a faceface with one Mn(1)Mg12 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with five Mg(1,1)Mg10Mn2 cuboctahedra; faces with five Mg(2,2)Mg10V2 cuboctahedra; and faces with six Mg(3,3)Mg10MnV cuboctahedra. In the seventh Mg site, Mg(4) is bonded to three Mg(1,1); three Mg(2,2); 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)Mg10MnV cuboctahedra; edges with six Mg(1,1)Mg10Mn2 cuboctahedra; edges with six Mg(3,3)Mg10MnV cuboctahedra; edges with six Mg(2,2)Mg10V2 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with three Mg(1,1)Mg10Mn2 cuboctahedra; faces with three Mg(2,2)Mg10V2 cuboctahedra; faces with three equivalent V(1)Mg12 cuboctahedra; faces with three equivalent Mn(1)Mg12 cuboctahedra; and faces with six Mg(3,3)Mg10MnV cuboctahedra. V(1) is bonded to six Mg(2,2) and six Mg(3,3) atoms to form VMg12 cuboctahedra that share corners with six equivalent V(1)Mg12 cuboctahedra; corners with twelve Mg(1,1)Mg10Mn2 cuboctahedra; edges with six Mg(2,2)Mg10V2 cuboctahedra; edges with twelve Mg(3,3)Mg10MnV cuboctahedra; faces with two equivalent Mn(1)Mg12 cuboctahedra; faces with six Mg(3,3)Mg10MnV cuboctahedra; faces with six Mg(2,2)Mg10V2 cuboctahedra; and faces with six equivalent Mg(4)Mg12 cuboctahedra. Mn(1) is bonded to six Mg(1,1) and six Mg(3,3) atoms to form MnMg12 cuboctahedra that share corners with six equivalent Mn(1)Mg12 cuboctahedra; corners with twelve Mg(2,2)Mg10V2 cuboctahedra; edges with six Mg(1,1)Mg10Mn2 cuboctahedra; edges with twelve Mg(3,3)Mg10MnV cuboctahedra; faces with two equivalent V(1)Mg12 cuboctahedra; faces with six Mg(1,1)Mg10Mn2 cuboctahedra; faces with six Mg(3,3)Mg10MnV cuboctahedra; and faces with six equivalent Mg(4)Mg12 cuboctahedra. is represented by the CIF card [CIF]
data_Mg14MnV
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.301
_cell_length_b   6.301
_cell_length_c   10.034
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   120.000
_symmetry_Int_Tables_number   1
_cell_volume   345.030
_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  0.168  0.834  0.125  1.0
  Mg  Mg1  1  0.169  0.834  0.625  1.0
  Mg  Mg2  1  0.666  0.332  0.125  1.0
  Mg  Mg3  1  0.666  0.331  0.625  1.0
  Mg  Mg4  1  0.666  0.834  0.125  1.0
  Mg  Mg5  1  0.666  0.834  0.625  1.0
  Mg  Mg6  1  0.329  0.171  0.375  1.0
  Mg  Mg7  1  0.329  0.171  0.875  1.0
  Mg  Mg8  1  0.329  0.657  0.375  1.0
  Mg  Mg9  1  0.329  0.657  0.875  1.0
  Mg  Mg10  1  0.843  0.171  0.375  1.0
  Mg  Mg11  1  0.843  0.171  0.875  1.0
  Mg  Mg12  1  0.833  0.667  0.375  1.0
  Mg  Mg13  1  0.833  0.667  0.875  1.0
  Mn  Mn14  1  0.167  0.333  0.125  1.0
  V  V15  1  0.167  0.333  0.625  1.0
[/CIF]
.
The material described by Mg14VMn crystallizes in the hexagonal P-6m2 space group. There are seven inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Mg(4); four Mg(1,1); four Mg(3,3); and two equivalent Mn(1) atoms to form MgMg10Mn2 cuboctahedra that share corners with four equivalent V(1)Mg12 cuboctahedra; corners with six equivalent Mg(1)Mg10Mn2 cuboctahedra; corners with eight Mg(2,2)Mg10V2 cuboctahedra; edges with two equivalent Mn(1)Mg12 cuboctahedra; edges with four Mg(1,1)Mg10Mn2 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with eight Mg(3,3)Mg10MnV cuboctahedra; faces with two equivalent Mg(2)Mg10V2 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Mn(1)Mg12 cuboctahedra; faces with four Mg(1,1)Mg10Mn2 cuboctahedra; and faces with ten Mg(3,3)Mg10MnV cuboctahedra. In the second Mg site, Mg(2) is bonded to two equivalent Mg(4); four Mg(2,2); four Mg(3,3); and two equivalent V(1) atoms to form MgMg10V2 cuboctahedra that share corners with four equivalent Mn(1)Mg12 cuboctahedra; corners with six equivalent Mg(2)Mg10V2 cuboctahedra; corners with eight Mg(1,1)Mg10Mn2 cuboctahedra; edges with two equivalent V(1)Mg12 cuboctahedra; edges with four Mg(2,2)Mg10V2 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with eight Mg(3,3)Mg10MnV cuboctahedra; faces with two equivalent Mg(1)Mg10Mn2 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent V(1)Mg12 cuboctahedra; faces with four Mg(2,2)Mg10V2 cuboctahedra; and faces with ten Mg(3,3)Mg10MnV cuboctahedra. 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 Mn(1) atoms to form MgMg10Mn2 cuboctahedra that share corners with four equivalent V(1)Mg12 cuboctahedra; corners with six equivalent Mg(1)Mg10Mn2 cuboctahedra; corners with eight equivalent Mg(2)Mg10V2 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; edges with eight equivalent Mg(3)Mg10MnV cuboctahedra; faces with two equivalent Mg(2)Mg10V2 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Mn(1)Mg12 cuboctahedra; faces with four equivalent Mg(1)Mg10Mn2 cuboctahedra; and faces with ten Mg(3,3)Mg10MnV cuboctahedra. In the fourth Mg site, Mg(2) is bonded to two equivalent Mg(4), four equivalent Mg(2), four equivalent Mg(3), and two equivalent V(1) atoms to form MgMg10V2 cuboctahedra that share corners with four equivalent Mn(1)Mg12 cuboctahedra; corners with six equivalent Mg(2)Mg10V2 cuboctahedra; corners with eight equivalent Mg(1)Mg10Mn2 cuboctahedra; edges with two equivalent V(1)Mg12 cuboctahedra; edges with four equivalent Mg(2)Mg10V2 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with eight equivalent Mg(3)Mg10MnV cuboctahedra; faces with two equivalent Mg(1)Mg10Mn2 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent V(1)Mg12 cuboctahedra; faces with four equivalent Mg(2)Mg10V2 cuboctahedra; and faces with ten Mg(3,3)Mg10MnV cuboctahedra. In the fifth Mg site, Mg(3) is bonded to two Mg(1,1); two Mg(2,2); two equivalent Mg(4); four Mg(3,3); one V(1); and one Mn(1) atom to form distorted MgMg10MnV cuboctahedra that share corners with four equivalent Mg(4)Mg12 cuboctahedra; corners with fourteen Mg(3,3)Mg10MnV cuboctahedra; edges with two equivalent Mg(4)Mg12 cuboctahedra; edges with two equivalent V(1)Mg12 cuboctahedra; edges with two equivalent Mn(1)Mg12 cuboctahedra; edges with four Mg(1,1)Mg10Mn2 cuboctahedra; edges with four Mg(3,3)Mg10MnV cuboctahedra; edges with four Mg(2,2)Mg10V2 cuboctahedra;  a faceface with one V(1)Mg12 cuboctahedra;  a faceface with one Mn(1)Mg12 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with five Mg(1,1)Mg10Mn2 cuboctahedra; faces with five Mg(2,2)Mg10V2 cuboctahedra; and faces with six Mg(3,3)Mg10MnV cuboctahedra. In the sixth Mg site, Mg(3) is bonded to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(4), four equivalent Mg(3), one V(1), and one Mn(1) atom to form distorted MgMg10MnV cuboctahedra that share corners with four equivalent Mg(4)Mg12 cuboctahedra; corners with fourteen Mg(3,3)Mg10MnV cuboctahedra; edges with two equivalent Mg(4)Mg12 cuboctahedra; edges with two equivalent V(1)Mg12 cuboctahedra; edges with two equivalent Mn(1)Mg12 cuboctahedra; edges with four equivalent Mg(1)Mg10Mn2 cuboctahedra; edges with four equivalent Mg(3)Mg10MnV cuboctahedra; edges with four equivalent Mg(2)Mg10V2 cuboctahedra;  a faceface with one V(1)Mg12 cuboctahedra;  a faceface with one Mn(1)Mg12 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with five Mg(1,1)Mg10Mn2 cuboctahedra; faces with five Mg(2,2)Mg10V2 cuboctahedra; and faces with six Mg(3,3)Mg10MnV cuboctahedra. In the seventh Mg site, Mg(4) is bonded to three Mg(1,1); three Mg(2,2); 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)Mg10MnV cuboctahedra; edges with six Mg(1,1)Mg10Mn2 cuboctahedra; edges with six Mg(3,3)Mg10MnV cuboctahedra; edges with six Mg(2,2)Mg10V2 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with three Mg(1,1)Mg10Mn2 cuboctahedra; faces with three Mg(2,2)Mg10V2 cuboctahedra; faces with three equivalent V(1)Mg12 cuboctahedra; faces with three equivalent Mn(1)Mg12 cuboctahedra; and faces with six Mg(3,3)Mg10MnV cuboctahedra. V(1) is bonded to six Mg(2,2) and six Mg(3,3) atoms to form VMg12 cuboctahedra that share corners with six equivalent V(1)Mg12 cuboctahedra; corners with twelve Mg(1,1)Mg10Mn2 cuboctahedra; edges with six Mg(2,2)Mg10V2 cuboctahedra; edges with twelve Mg(3,3)Mg10MnV cuboctahedra; faces with two equivalent Mn(1)Mg12 cuboctahedra; faces with six Mg(3,3)Mg10MnV cuboctahedra; faces with six Mg(2,2)Mg10V2 cuboctahedra; and faces with six equivalent Mg(4)Mg12 cuboctahedra. Mn(1) is bonded to six Mg(1,1) and six Mg(3,3) atoms to form MnMg12 cuboctahedra that share corners with six equivalent Mn(1)Mg12 cuboctahedra; corners with twelve Mg(2,2)Mg10V2 cuboctahedra; edges with six Mg(1,1)Mg10Mn2 cuboctahedra; edges with twelve Mg(3,3)Mg10MnV cuboctahedra; faces with two equivalent V(1)Mg12 cuboctahedra; faces with six Mg(1,1)Mg10Mn2 cuboctahedra; faces with six Mg(3,3)Mg10MnV cuboctahedra; and faces with six equivalent Mg(4)Mg12 cuboctahedra. is represented by the CIF card [CIF]
data_Mg14MnV
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.301
_cell_length_b   6.301
_cell_length_c   10.034
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   120.000
_symmetry_Int_Tables_number   1
_cell_volume   345.030
_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  0.168  0.834  0.125  1.0
  Mg  Mg1  1  0.169  0.834  0.625  1.0
  Mg  Mg2  1  0.666  0.332  0.125  1.0
  Mg  Mg3  1  0.666  0.331  0.625  1.0
  Mg  Mg4  1  0.666  0.834  0.125  1.0
  Mg  Mg5  1  0.666  0.834  0.625  1.0
  Mg  Mg6  1  0.329  0.171  0.375  1.0
  Mg  Mg7  1  0.329  0.171  0.875  1.0
  Mg  Mg8  1  0.329  0.657  0.375  1.0
  Mg  Mg9  1  0.329  0.657  0.875  1.0
  Mg  Mg10  1  0.843  0.171  0.375  1.0
  Mg  Mg11  1  0.843  0.171  0.875  1.0
  Mg  Mg12  1  0.833  0.667  0.375  1.0
  Mg  Mg13  1  0.833  0.667  0.875  1.0
  Mn  Mn14  1  0.167  0.333  0.125  1.0
  V  V15  1  0.167  0.333  0.625  1.0
[/CIF]
.