The material structure described by Mg14CoSi crystallizes in the hexagonal P-6m2 space group. There are six 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 Co(1) atoms to form distorted MgMg10Co2 cuboctahedra that share corners with four equivalent Si(1)Mg12 cuboctahedra; corners with six equivalent Mg(1)Mg10Co2 cuboctahedra; corners with eight equivalent Mg(2)Mg10Si2 cuboctahedra; edges with two equivalent Co(1)Mg12 cuboctahedra; edges with four equivalent Mg(1)Mg10Co2 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with eight Mg(3,3)Mg10CoSi cuboctahedra; faces with two equivalent Mg(2)Mg10Si2 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Co(1)Mg12 cuboctahedra; faces with four equivalent Mg(1)Mg10Co2 cuboctahedra; and faces with ten Mg(3,3,3)Mg10CoSi 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 Si(1) atoms to form distorted MgMg10Si2 cuboctahedra that share corners with four equivalent Co(1)Mg12 cuboctahedra; corners with six equivalent Mg(2)Mg10Si2 cuboctahedra; corners with eight equivalent Mg(1)Mg10Co2 cuboctahedra; edges with two equivalent Si(1)Mg12 cuboctahedra; edges with four equivalent Mg(2)Mg10Si2 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with eight Mg(3,3)Mg10CoSi cuboctahedra; faces with two equivalent Mg(1)Mg10Co2 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Si(1)Mg12 cuboctahedra; faces with four equivalent Mg(2)Mg10Si2 cuboctahedra; and faces with ten Mg(3,3,3)Mg10CoSi cuboctahedra. In the third Mg site, Mg(3) is bonded to two equivalent Mg(1); two equivalent Mg(2); two equivalent Mg(4); four Mg(3,3); one Co(1); and one Si(1) atom to form distorted MgMg10CoSi cuboctahedra that share corners with four equivalent Mg(4)Mg12 cuboctahedra; corners with fourteen Mg(3,3,3)Mg10CoSi cuboctahedra; edges with two equivalent Mg(4)Mg12 cuboctahedra; edges with two equivalent Co(1)Mg12 cuboctahedra; edges with two equivalent Si(1)Mg12 cuboctahedra; edges with four equivalent Mg(1)Mg10Co2 cuboctahedra; edges with four Mg(3,3)Mg10CoSi cuboctahedra; edges with four equivalent Mg(2)Mg10Si2 cuboctahedra;  a faceface with one Co(1)Mg12 cuboctahedra;  a faceface with one Si(1)Mg12 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with five equivalent Mg(1)Mg10Co2 cuboctahedra; faces with five equivalent Mg(2)Mg10Si2 cuboctahedra; and faces with six Mg(3,3,3)Mg10CoSi cuboctahedra. In the fourth Mg site, Mg(3) is bonded to two equivalent Mg(1); two equivalent Mg(2); two equivalent Mg(4); four Mg(3,3); one Co(1); and one Si(1) atom to form distorted MgMg10CoSi cuboctahedra that share corners with four equivalent Mg(4)Mg12 cuboctahedra; corners with fourteen Mg(3,3,3)Mg10CoSi cuboctahedra; edges with two equivalent Mg(4)Mg12 cuboctahedra; edges with two equivalent Co(1)Mg12 cuboctahedra; edges with two equivalent Si(1)Mg12 cuboctahedra; edges with four equivalent Mg(1)Mg10Co2 cuboctahedra; edges with four Mg(3,3)Mg10CoSi cuboctahedra; edges with four equivalent Mg(2)Mg10Si2 cuboctahedra;  a faceface with one Co(1)Mg12 cuboctahedra;  a faceface with one Si(1)Mg12 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with five equivalent Mg(1)Mg10Co2 cuboctahedra; faces with five equivalent Mg(2)Mg10Si2 cuboctahedra; and faces with six Mg(3,3,3)Mg10CoSi cuboctahedra. In the fifth Mg site, Mg(3) is bonded to two equivalent Mg(1); two equivalent Mg(2); two equivalent Mg(4); four Mg(3,3); one Co(1); and one Si(1) atom to form distorted MgMg10CoSi cuboctahedra that share corners with four equivalent Mg(4)Mg12 cuboctahedra; corners with fourteen Mg(3,3,3)Mg10CoSi cuboctahedra; edges with two equivalent Mg(4)Mg12 cuboctahedra; edges with two equivalent Co(1)Mg12 cuboctahedra; edges with two equivalent Si(1)Mg12 cuboctahedra; edges with four equivalent Mg(1)Mg10Co2 cuboctahedra; edges with four Mg(3,3)Mg10CoSi cuboctahedra; edges with four equivalent Mg(2)Mg10Si2 cuboctahedra;  a faceface with one Co(1)Mg12 cuboctahedra;  a faceface with one Si(1)Mg12 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with five equivalent Mg(1)Mg10Co2 cuboctahedra; faces with five equivalent Mg(2)Mg10Si2 cuboctahedra; and faces with six Mg(3,3,3)Mg10CoSi cuboctahedra. In the sixth Mg site, Mg(4) is bonded to three equivalent Mg(1); three equivalent Mg(2); and six Mg(3,3,3) atoms to form MgMg12 cuboctahedra that share corners with six equivalent Mg(4)Mg12 cuboctahedra; corners with twelve Mg(3,3,3)Mg10CoSi cuboctahedra; edges with six equivalent Mg(1)Mg10Co2 cuboctahedra; edges with six Mg(3,3,3)Mg10CoSi cuboctahedra; edges with six equivalent Mg(2)Mg10Si2 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with three equivalent Mg(1)Mg10Co2 cuboctahedra; faces with three equivalent Mg(2)Mg10Si2 cuboctahedra; faces with three equivalent Co(1)Mg12 cuboctahedra; faces with three equivalent Si(1)Mg12 cuboctahedra; and faces with six Mg(3,3,3)Mg10CoSi cuboctahedra. Co(1) is bonded to six equivalent Mg(1) and six Mg(3,3,3) atoms to form CoMg12 cuboctahedra that share corners with six equivalent Co(1)Mg12 cuboctahedra; corners with twelve equivalent Mg(2)Mg10Si2 cuboctahedra; edges with six equivalent Mg(1)Mg10Co2 cuboctahedra; edges with twelve Mg(3,3,3)Mg10CoSi cuboctahedra; faces with two equivalent Si(1)Mg12 cuboctahedra; faces with six equivalent Mg(1)Mg10Co2 cuboctahedra; faces with six Mg(3,3,3)Mg10CoSi cuboctahedra; and faces with six equivalent Mg(4)Mg12 cuboctahedra. Si(1) is bonded to six equivalent Mg(2) and six Mg(3,3,3) atoms to form SiMg12 cuboctahedra that share corners with six equivalent Si(1)Mg12 cuboctahedra; corners with twelve equivalent Mg(1)Mg10Co2 cuboctahedra; edges with six equivalent Mg(2)Mg10Si2 cuboctahedra; edges with twelve Mg(3,3,3)Mg10CoSi cuboctahedra; faces with two equivalent Co(1)Mg12 cuboctahedra; faces with six Mg(3,3,3)Mg10CoSi cuboctahedra; faces with six equivalent Mg(2)Mg10Si2 cuboctahedra; and faces with six equivalent Mg(4)Mg12 cuboctahedra. is represented by the CIF file [CIF]
data_Mg14CoSi
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.183
_cell_length_b   6.183
_cell_length_c   10.129
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   120.000
_symmetry_Int_Tables_number   1
_cell_volume   335.327
_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  0.164  0.832  0.125  1.0
  Mg  Mg1  1  0.167  0.834  0.625  1.0
  Mg  Mg2  1  0.668  0.336  0.125  1.0
  Mg  Mg3  1  0.666  0.333  0.625  1.0
  Mg  Mg4  1  0.668  0.832  0.125  1.0
  Mg  Mg5  1  0.666  0.834  0.625  1.0
  Mg  Mg6  1  0.327  0.173  0.367  1.0
  Mg  Mg7  1  0.327  0.173  0.883  1.0
  Mg  Mg8  1  0.327  0.654  0.367  1.0
  Mg  Mg9  1  0.327  0.654  0.883  1.0
  Mg  Mg10  1  0.846  0.173  0.367  1.0
  Mg  Mg11  1  0.846  0.173  0.883  1.0
  Mg  Mg12  1  0.833  0.667  0.375  1.0
  Mg  Mg13  1  0.833  0.667  0.875  1.0
  Co  Co14  1  0.167  0.333  0.125  1.0
  Si  Si15  1  0.167  0.333  0.625  1.0
[/CIF]
.
The material structure described by Mg14CoSi crystallizes in the hexagonal P-6m2 space group. There are six 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 Co(1) atoms to form distorted MgMg10Co2 cuboctahedra that share corners with four equivalent Si(1)Mg12 cuboctahedra; corners with six equivalent Mg(1)Mg10Co2 cuboctahedra; corners with eight equivalent Mg(2)Mg10Si2 cuboctahedra; edges with two equivalent Co(1)Mg12 cuboctahedra; edges with four equivalent Mg(1)Mg10Co2 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with eight Mg(3,3)Mg10CoSi cuboctahedra; faces with two equivalent Mg(2)Mg10Si2 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Co(1)Mg12 cuboctahedra; faces with four equivalent Mg(1)Mg10Co2 cuboctahedra; and faces with ten Mg(3,3,3)Mg10CoSi 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 Si(1) atoms to form distorted MgMg10Si2 cuboctahedra that share corners with four equivalent Co(1)Mg12 cuboctahedra; corners with six equivalent Mg(2)Mg10Si2 cuboctahedra; corners with eight equivalent Mg(1)Mg10Co2 cuboctahedra; edges with two equivalent Si(1)Mg12 cuboctahedra; edges with four equivalent Mg(2)Mg10Si2 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with eight Mg(3,3)Mg10CoSi cuboctahedra; faces with two equivalent Mg(1)Mg10Co2 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Si(1)Mg12 cuboctahedra; faces with four equivalent Mg(2)Mg10Si2 cuboctahedra; and faces with ten Mg(3,3,3)Mg10CoSi cuboctahedra. In the third Mg site, Mg(3) is bonded to two equivalent Mg(1); two equivalent Mg(2); two equivalent Mg(4); four Mg(3,3); one Co(1); and one Si(1) atom to form distorted MgMg10CoSi cuboctahedra that share corners with four equivalent Mg(4)Mg12 cuboctahedra; corners with fourteen Mg(3,3,3)Mg10CoSi cuboctahedra; edges with two equivalent Mg(4)Mg12 cuboctahedra; edges with two equivalent Co(1)Mg12 cuboctahedra; edges with two equivalent Si(1)Mg12 cuboctahedra; edges with four equivalent Mg(1)Mg10Co2 cuboctahedra; edges with four Mg(3,3)Mg10CoSi cuboctahedra; edges with four equivalent Mg(2)Mg10Si2 cuboctahedra;  a faceface with one Co(1)Mg12 cuboctahedra;  a faceface with one Si(1)Mg12 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with five equivalent Mg(1)Mg10Co2 cuboctahedra; faces with five equivalent Mg(2)Mg10Si2 cuboctahedra; and faces with six Mg(3,3,3)Mg10CoSi cuboctahedra. In the fourth Mg site, Mg(3) is bonded to two equivalent Mg(1); two equivalent Mg(2); two equivalent Mg(4); four Mg(3,3); one Co(1); and one Si(1) atom to form distorted MgMg10CoSi cuboctahedra that share corners with four equivalent Mg(4)Mg12 cuboctahedra; corners with fourteen Mg(3,3,3)Mg10CoSi cuboctahedra; edges with two equivalent Mg(4)Mg12 cuboctahedra; edges with two equivalent Co(1)Mg12 cuboctahedra; edges with two equivalent Si(1)Mg12 cuboctahedra; edges with four equivalent Mg(1)Mg10Co2 cuboctahedra; edges with four Mg(3,3)Mg10CoSi cuboctahedra; edges with four equivalent Mg(2)Mg10Si2 cuboctahedra;  a faceface with one Co(1)Mg12 cuboctahedra;  a faceface with one Si(1)Mg12 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with five equivalent Mg(1)Mg10Co2 cuboctahedra; faces with five equivalent Mg(2)Mg10Si2 cuboctahedra; and faces with six Mg(3,3,3)Mg10CoSi cuboctahedra. In the fifth Mg site, Mg(3) is bonded to two equivalent Mg(1); two equivalent Mg(2); two equivalent Mg(4); four Mg(3,3); one Co(1); and one Si(1) atom to form distorted MgMg10CoSi cuboctahedra that share corners with four equivalent Mg(4)Mg12 cuboctahedra; corners with fourteen Mg(3,3,3)Mg10CoSi cuboctahedra; edges with two equivalent Mg(4)Mg12 cuboctahedra; edges with two equivalent Co(1)Mg12 cuboctahedra; edges with two equivalent Si(1)Mg12 cuboctahedra; edges with four equivalent Mg(1)Mg10Co2 cuboctahedra; edges with four Mg(3,3)Mg10CoSi cuboctahedra; edges with four equivalent Mg(2)Mg10Si2 cuboctahedra;  a faceface with one Co(1)Mg12 cuboctahedra;  a faceface with one Si(1)Mg12 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with five equivalent Mg(1)Mg10Co2 cuboctahedra; faces with five equivalent Mg(2)Mg10Si2 cuboctahedra; and faces with six Mg(3,3,3)Mg10CoSi cuboctahedra. In the sixth Mg site, Mg(4) is bonded to three equivalent Mg(1); three equivalent Mg(2); and six Mg(3,3,3) atoms to form MgMg12 cuboctahedra that share corners with six equivalent Mg(4)Mg12 cuboctahedra; corners with twelve Mg(3,3,3)Mg10CoSi cuboctahedra; edges with six equivalent Mg(1)Mg10Co2 cuboctahedra; edges with six Mg(3,3,3)Mg10CoSi cuboctahedra; edges with six equivalent Mg(2)Mg10Si2 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with three equivalent Mg(1)Mg10Co2 cuboctahedra; faces with three equivalent Mg(2)Mg10Si2 cuboctahedra; faces with three equivalent Co(1)Mg12 cuboctahedra; faces with three equivalent Si(1)Mg12 cuboctahedra; and faces with six Mg(3,3,3)Mg10CoSi cuboctahedra. Co(1) is bonded to six equivalent Mg(1) and six Mg(3,3,3) atoms to form CoMg12 cuboctahedra that share corners with six equivalent Co(1)Mg12 cuboctahedra; corners with twelve equivalent Mg(2)Mg10Si2 cuboctahedra; edges with six equivalent Mg(1)Mg10Co2 cuboctahedra; edges with twelve Mg(3,3,3)Mg10CoSi cuboctahedra; faces with two equivalent Si(1)Mg12 cuboctahedra; faces with six equivalent Mg(1)Mg10Co2 cuboctahedra; faces with six Mg(3,3,3)Mg10CoSi cuboctahedra; and faces with six equivalent Mg(4)Mg12 cuboctahedra. Si(1) is bonded to six equivalent Mg(2) and six Mg(3,3,3) atoms to form SiMg12 cuboctahedra that share corners with six equivalent Si(1)Mg12 cuboctahedra; corners with twelve equivalent Mg(1)Mg10Co2 cuboctahedra; edges with six equivalent Mg(2)Mg10Si2 cuboctahedra; edges with twelve Mg(3,3,3)Mg10CoSi cuboctahedra; faces with two equivalent Co(1)Mg12 cuboctahedra; faces with six Mg(3,3,3)Mg10CoSi cuboctahedra; faces with six equivalent Mg(2)Mg10Si2 cuboctahedra; and faces with six equivalent Mg(4)Mg12 cuboctahedra. is represented by the CIF file [CIF]
data_Mg14CoSi
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.183
_cell_length_b   6.183
_cell_length_c   10.129
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   120.000
_symmetry_Int_Tables_number   1
_cell_volume   335.327
_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  0.164  0.832  0.125  1.0
  Mg  Mg1  1  0.167  0.834  0.625  1.0
  Mg  Mg2  1  0.668  0.336  0.125  1.0
  Mg  Mg3  1  0.666  0.333  0.625  1.0
  Mg  Mg4  1  0.668  0.832  0.125  1.0
  Mg  Mg5  1  0.666  0.834  0.625  1.0
  Mg  Mg6  1  0.327  0.173  0.367  1.0
  Mg  Mg7  1  0.327  0.173  0.883  1.0
  Mg  Mg8  1  0.327  0.654  0.367  1.0
  Mg  Mg9  1  0.327  0.654  0.883  1.0
  Mg  Mg10  1  0.846  0.173  0.367  1.0
  Mg  Mg11  1  0.846  0.173  0.883  1.0
  Mg  Mg12  1  0.833  0.667  0.375  1.0
  Mg  Mg13  1  0.833  0.667  0.875  1.0
  Co  Co14  1  0.167  0.333  0.125  1.0
  Si  Si15  1  0.167  0.333  0.625  1.0
[/CIF]
.