The material described by Mg6CoSn crystallizes in the orthorhombic Amm2 space group. There are six inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), two equivalent Co(1), and two equivalent Sn(1) atoms to form distorted MgMg8Co2Sn2 cuboctahedra that share corners with four equivalent Co(1)Mg10Sn2 cuboctahedra; corners with four equivalent Sn(1)Mg10Co2 cuboctahedra; corners with ten Mg(1,1)Mg8Co2Sn2 cuboctahedra; edges with two equivalent Mg(1)Mg8Co2Sn2 cuboctahedra; edges with two equivalent Co(1)Mg10Sn2 cuboctahedra; edges with two equivalent Sn(1)Mg10Co2 cuboctahedra; faces with two equivalent Co(1)Mg10Sn2 cuboctahedra; faces with two equivalent Sn(1)Mg10Co2 cuboctahedra; and faces with four Mg(1,1)Mg8Co2Sn2 cuboctahedra. In the second Mg site, Mg(1) is bonded to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), two equivalent Co(1), and two equivalent Sn(1) atoms to form distorted MgMg8Co2Sn2 cuboctahedra that share corners with four equivalent Co(1)Mg10Sn2 cuboctahedra; corners with four equivalent Sn(1)Mg10Co2 cuboctahedra; corners with ten Mg(1,1)Mg8Co2Sn2 cuboctahedra; edges with two equivalent Mg(1)Mg8Co2Sn2 cuboctahedra; edges with two equivalent Co(1)Mg10Sn2 cuboctahedra; edges with two equivalent Sn(1)Mg10Co2 cuboctahedra; faces with two equivalent Co(1)Mg10Sn2 cuboctahedra; faces with two equivalent Sn(1)Mg10Co2 cuboctahedra; and faces with four Mg(1,1)Mg8Co2Sn2 cuboctahedra. In the third Mg site, Mg(2) is bonded in a 12-coordinate geometry to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), two equivalent Co(1), and two equivalent Sn(1) atoms. In the fourth Mg site, Mg(2) is bonded in a 12-coordinate geometry to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), two equivalent Co(1), and two equivalent Sn(1) atoms. In the fifth Mg site, Mg(3) is bonded in a 2-coordinate geometry to four Mg(1,1); four Mg(2,2); and two equivalent Co(1) atoms. In the sixth Mg site, Mg(4) is bonded in a distorted water-like geometry to four Mg(1,1); four Mg(2,2); and two equivalent Sn(1) atoms. Co(1) is bonded to two equivalent Mg(3); four Mg(1,1); four Mg(2,2); and two equivalent Sn(1) atoms to form CoMg10Sn2 cuboctahedra that share corners with four equivalent Sn(1)Mg10Co2 cuboctahedra; corners with six equivalent Co(1)Mg10Sn2 cuboctahedra; corners with eight Mg(1,1)Mg8Co2Sn2 cuboctahedra; edges with two equivalent Sn(1)Mg10Co2 cuboctahedra; edges with four Mg(1,1)Mg8Co2Sn2 cuboctahedra; faces with two equivalent Co(1)Mg10Sn2 cuboctahedra; faces with two equivalent Sn(1)Mg10Co2 cuboctahedra; and faces with four Mg(1,1)Mg8Co2Sn2 cuboctahedra. Sn(1) is bonded to two equivalent Mg(4); four Mg(1,1); four Mg(2,2); and two equivalent Co(1) atoms to form SnMg10Co2 cuboctahedra that share corners with four equivalent Co(1)Mg10Sn2 cuboctahedra; corners with six equivalent Sn(1)Mg10Co2 cuboctahedra; corners with eight Mg(1,1)Mg8Co2Sn2 cuboctahedra; edges with two equivalent Co(1)Mg10Sn2 cuboctahedra; edges with four Mg(1,1)Mg8Co2Sn2 cuboctahedra; faces with two equivalent Co(1)Mg10Sn2 cuboctahedra; faces with two equivalent Sn(1)Mg10Co2 cuboctahedra; and faces with four Mg(1,1)Mg8Co2Sn2 cuboctahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_Mg6CoSn
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   4.891
_cell_length_b   6.147
_cell_length_c   6.186
_cell_angle_alpha   119.788
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   161.410
_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
  Co  Co0  1  0.500  0.166  0.332  1.0
  Mg  Mg1  1  0.500  0.665  0.834  1.0
  Mg  Mg2  1  0.500  0.169  0.834  1.0
  Mg  Mg3  1  0.000  0.853  0.172  1.0
  Mg  Mg4  1  0.000  0.320  0.172  1.0
  Mg  Mg5  1  0.000  0.324  0.648  1.0
  Mg  Mg6  1  0.000  0.836  0.672  1.0
  Sn  Sn7  1  0.500  0.668  0.337  1.0
[/CIF]
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The material described by Mg6CoSn crystallizes in the orthorhombic Amm2 space group. There are six inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), two equivalent Co(1), and two equivalent Sn(1) atoms to form distorted MgMg8Co2Sn2 cuboctahedra that share corners with four equivalent Co(1)Mg10Sn2 cuboctahedra; corners with four equivalent Sn(1)Mg10Co2 cuboctahedra; corners with ten Mg(1,1)Mg8Co2Sn2 cuboctahedra; edges with two equivalent Mg(1)Mg8Co2Sn2 cuboctahedra; edges with two equivalent Co(1)Mg10Sn2 cuboctahedra; edges with two equivalent Sn(1)Mg10Co2 cuboctahedra; faces with two equivalent Co(1)Mg10Sn2 cuboctahedra; faces with two equivalent Sn(1)Mg10Co2 cuboctahedra; and faces with four Mg(1,1)Mg8Co2Sn2 cuboctahedra. In the second Mg site, Mg(1) is bonded to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), two equivalent Co(1), and two equivalent Sn(1) atoms to form distorted MgMg8Co2Sn2 cuboctahedra that share corners with four equivalent Co(1)Mg10Sn2 cuboctahedra; corners with four equivalent Sn(1)Mg10Co2 cuboctahedra; corners with ten Mg(1,1)Mg8Co2Sn2 cuboctahedra; edges with two equivalent Mg(1)Mg8Co2Sn2 cuboctahedra; edges with two equivalent Co(1)Mg10Sn2 cuboctahedra; edges with two equivalent Sn(1)Mg10Co2 cuboctahedra; faces with two equivalent Co(1)Mg10Sn2 cuboctahedra; faces with two equivalent Sn(1)Mg10Co2 cuboctahedra; and faces with four Mg(1,1)Mg8Co2Sn2 cuboctahedra. In the third Mg site, Mg(2) is bonded in a 12-coordinate geometry to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), two equivalent Co(1), and two equivalent Sn(1) atoms. In the fourth Mg site, Mg(2) is bonded in a 12-coordinate geometry to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), two equivalent Co(1), and two equivalent Sn(1) atoms. In the fifth Mg site, Mg(3) is bonded in a 2-coordinate geometry to four Mg(1,1); four Mg(2,2); and two equivalent Co(1) atoms. In the sixth Mg site, Mg(4) is bonded in a distorted water-like geometry to four Mg(1,1); four Mg(2,2); and two equivalent Sn(1) atoms. Co(1) is bonded to two equivalent Mg(3); four Mg(1,1); four Mg(2,2); and two equivalent Sn(1) atoms to form CoMg10Sn2 cuboctahedra that share corners with four equivalent Sn(1)Mg10Co2 cuboctahedra; corners with six equivalent Co(1)Mg10Sn2 cuboctahedra; corners with eight Mg(1,1)Mg8Co2Sn2 cuboctahedra; edges with two equivalent Sn(1)Mg10Co2 cuboctahedra; edges with four Mg(1,1)Mg8Co2Sn2 cuboctahedra; faces with two equivalent Co(1)Mg10Sn2 cuboctahedra; faces with two equivalent Sn(1)Mg10Co2 cuboctahedra; and faces with four Mg(1,1)Mg8Co2Sn2 cuboctahedra. Sn(1) is bonded to two equivalent Mg(4); four Mg(1,1); four Mg(2,2); and two equivalent Co(1) atoms to form SnMg10Co2 cuboctahedra that share corners with four equivalent Co(1)Mg10Sn2 cuboctahedra; corners with six equivalent Sn(1)Mg10Co2 cuboctahedra; corners with eight Mg(1,1)Mg8Co2Sn2 cuboctahedra; edges with two equivalent Co(1)Mg10Sn2 cuboctahedra; edges with four Mg(1,1)Mg8Co2Sn2 cuboctahedra; faces with two equivalent Co(1)Mg10Sn2 cuboctahedra; faces with two equivalent Sn(1)Mg10Co2 cuboctahedra; and faces with four Mg(1,1)Mg8Co2Sn2 cuboctahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_Mg6CoSn
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   4.891
_cell_length_b   6.147
_cell_length_c   6.186
_cell_angle_alpha   119.788
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   161.410
_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
  Co  Co0  1  0.500  0.166  0.332  1.0
  Mg  Mg1  1  0.500  0.665  0.834  1.0
  Mg  Mg2  1  0.500  0.169  0.834  1.0
  Mg  Mg3  1  0.000  0.853  0.172  1.0
  Mg  Mg4  1  0.000  0.320  0.172  1.0
  Mg  Mg5  1  0.000  0.324  0.648  1.0
  Mg  Mg6  1  0.000  0.836  0.672  1.0
  Sn  Sn7  1  0.500  0.668  0.337  1.0
[/CIF]
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