The structure described by LiMg6Cr is beta Cu3Ti-derived structured and crystallizes in the orthorhombic Amm2 space group. Li(1) is bonded to two equivalent Mg(3); four Mg(1,1,1); four equivalent Mg(2); and two equivalent Cr(1) atoms to form LiMg10Cr2 cuboctahedra that share corners with four equivalent Cr(1)Li2Mg10 cuboctahedra; corners with six equivalent Li(1)Mg10Cr2 cuboctahedra; corners with eight Mg(1,1,1)Li2Mg8Cr2 cuboctahedra; edges with two equivalent Cr(1)Li2Mg10 cuboctahedra; edges with four equivalent Mg(3)Li2Mg10 cuboctahedra; edges with four Mg(1,1,1)Li2Mg8Cr2 cuboctahedra; edges with eight equivalent Mg(2)Li2Mg8Cr2 cuboctahedra; faces with two equivalent Li(1)Mg10Cr2 cuboctahedra; faces with two equivalent Mg(3)Li2Mg10 cuboctahedra; faces with two equivalent Cr(1)Li2Mg10 cuboctahedra; faces with four Mg(1,1,1)Li2Mg8Cr2 cuboctahedra; faces with four equivalent Mg(2)Li2Mg8Cr2 cuboctahedra; and faces with six equivalent Mg(4)Mg10Cr2 cuboctahedra. There are six inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Li(1), two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), and two equivalent Cr(1) atoms to form distorted MgLi2Mg8Cr2 cuboctahedra that share corners with four equivalent Li(1)Mg10Cr2 cuboctahedra; corners with four equivalent Cr(1)Li2Mg10 cuboctahedra; corners with ten Mg(1,1,1)Li2Mg8Cr2 cuboctahedra; edges with two equivalent Li(1)Mg10Cr2 cuboctahedra; edges with two equivalent Mg(1)Li2Mg8Cr2 cuboctahedra; edges with two equivalent Cr(1)Li2Mg10 cuboctahedra; edges with four equivalent Mg(3)Li2Mg10 cuboctahedra; edges with four equivalent Mg(2)Li2Mg8Cr2 cuboctahedra; edges with four equivalent Mg(4)Mg10Cr2 cuboctahedra; faces with two equivalent Li(1)Mg10Cr2 cuboctahedra; faces with two equivalent Mg(3)Li2Mg10 cuboctahedra; faces with two equivalent Mg(4)Mg10Cr2 cuboctahedra; faces with two equivalent Cr(1)Li2Mg10 cuboctahedra; faces with four Mg(1,1)Li2Mg8Cr2 cuboctahedra; and faces with eight equivalent Mg(2)Li2Mg8Cr2 cuboctahedra. In the second Mg site, Mg(1) is bonded to two equivalent Li(1), two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), and two equivalent Cr(1) atoms to form distorted MgLi2Mg8Cr2 cuboctahedra that share corners with four equivalent Li(1)Mg10Cr2 cuboctahedra; corners with four equivalent Cr(1)Li2Mg10 cuboctahedra; corners with ten Mg(1,1)Li2Mg8Cr2 cuboctahedra; edges with two equivalent Li(1)Mg10Cr2 cuboctahedra; edges with two equivalent Mg(1)Li2Mg8Cr2 cuboctahedra; edges with two equivalent Cr(1)Li2Mg10 cuboctahedra; edges with four equivalent Mg(3)Li2Mg10 cuboctahedra; edges with four equivalent Mg(2)Li2Mg8Cr2 cuboctahedra; edges with four equivalent Mg(4)Mg10Cr2 cuboctahedra; faces with two equivalent Li(1)Mg10Cr2 cuboctahedra; faces with two equivalent Mg(3)Li2Mg10 cuboctahedra; faces with two equivalent Mg(4)Mg10Cr2 cuboctahedra; faces with two equivalent Cr(1)Li2Mg10 cuboctahedra; faces with four Mg(1,1)Li2Mg8Cr2 cuboctahedra; and faces with eight equivalent Mg(2)Li2Mg8Cr2 cuboctahedra. In the third Mg site, Mg(2) is bonded to two equivalent Li(1), two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), and two equivalent Cr(1) atoms to form distorted MgLi2Mg8Cr2 cuboctahedra that share corners with four equivalent Mg(3)Li2Mg10 cuboctahedra; corners with four equivalent Mg(4)Mg10Cr2 cuboctahedra; corners with ten equivalent Mg(2)Li2Mg8Cr2 cuboctahedra; edges with two equivalent Mg(3)Li2Mg10 cuboctahedra; edges with two equivalent Mg(2)Li2Mg8Cr2 cuboctahedra; edges with two equivalent Mg(4)Mg10Cr2 cuboctahedra; edges with four equivalent Li(1)Mg10Cr2 cuboctahedra; edges with four equivalent Mg(1)Li2Mg8Cr2 cuboctahedra; edges with four equivalent Cr(1)Li2Mg10 cuboctahedra; faces with two equivalent Li(1)Mg10Cr2 cuboctahedra; faces with two equivalent Mg(3)Li2Mg10 cuboctahedra; faces with two equivalent Mg(4)Mg10Cr2 cuboctahedra; faces with two equivalent Cr(1)Li2Mg10 cuboctahedra; faces with four equivalent Mg(2)Li2Mg8Cr2 cuboctahedra; and faces with eight Mg(1,1)Li2Mg8Cr2 cuboctahedra. In the fourth Mg site, Mg(3) is bonded to two equivalent Li(1); two equivalent Mg(4); four Mg(1,1); and four equivalent Mg(2) atoms to form distorted MgLi2Mg10 cuboctahedra that share corners with four equivalent Mg(4)Mg10Cr2 cuboctahedra; corners with six equivalent Mg(3)Li2Mg10 cuboctahedra; corners with eight equivalent Mg(2)Li2Mg8Cr2 cuboctahedra; edges with two equivalent Mg(4)Mg10Cr2 cuboctahedra; edges with four equivalent Li(1)Mg10Cr2 cuboctahedra; edges with four equivalent Mg(2)Li2Mg8Cr2 cuboctahedra; edges with eight Mg(1,1,1)Li2Mg8Cr2 cuboctahedra; faces with two equivalent Li(1)Mg10Cr2 cuboctahedra; faces with two equivalent Mg(3)Li2Mg10 cuboctahedra; faces with two equivalent Mg(4)Mg10Cr2 cuboctahedra; faces with four Mg(1,1)Li2Mg8Cr2 cuboctahedra; faces with four equivalent Mg(2)Li2Mg8Cr2 cuboctahedra; and faces with six equivalent Cr(1)Li2Mg10 cuboctahedra. In the fifth Mg site, Mg(4) is bonded to two equivalent Mg(3); four Mg(1,1); four equivalent Mg(2); and two equivalent Cr(1) atoms to form distorted MgMg10Cr2 cuboctahedra that share corners with four equivalent Mg(3)Li2Mg10 cuboctahedra; corners with six equivalent Mg(4)Mg10Cr2 cuboctahedra; corners with eight equivalent Mg(2)Li2Mg8Cr2 cuboctahedra; edges with two equivalent Mg(3)Li2Mg10 cuboctahedra; edges with four equivalent Mg(2)Li2Mg8Cr2 cuboctahedra; edges with four equivalent Cr(1)Li2Mg10 cuboctahedra; edges with eight Mg(1,1,1)Li2Mg8Cr2 cuboctahedra; faces with two equivalent Mg(3)Li2Mg10 cuboctahedra; faces with two equivalent Mg(4)Mg10Cr2 cuboctahedra; faces with two equivalent Cr(1)Li2Mg10 cuboctahedra; faces with four Mg(1,1)Li2Mg8Cr2 cuboctahedra; faces with four equivalent Mg(2)Li2Mg8Cr2 cuboctahedra; and faces with six equivalent Li(1)Mg10Cr2 cuboctahedra. In the sixth Mg site, Mg(1) is bonded to two equivalent Li(1), two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), and two equivalent Cr(1) atoms to form distorted MgLi2Mg8Cr2 cuboctahedra that share corners with four equivalent Li(1)Mg10Cr2 cuboctahedra; corners with four equivalent Cr(1)Li2Mg10 cuboctahedra; corners with ten Mg(1,1,1)Li2Mg8Cr2 cuboctahedra; edges with two equivalent Li(1)Mg10Cr2 cuboctahedra; edges with two equivalent Mg(1)Li2Mg8Cr2 cuboctahedra; edges with two equivalent Cr(1)Li2Mg10 cuboctahedra; edges with four equivalent Mg(3)Li2Mg10 cuboctahedra; edges with four equivalent Mg(2)Li2Mg8Cr2 cuboctahedra; edges with four equivalent Mg(4)Mg10Cr2 cuboctahedra; faces with two equivalent Li(1)Mg10Cr2 cuboctahedra; faces with two equivalent Mg(3)Li2Mg10 cuboctahedra; faces with two equivalent Mg(4)Mg10Cr2 cuboctahedra; faces with two equivalent Cr(1)Li2Mg10 cuboctahedra; faces with four Mg(1,1)Li2Mg8Cr2 cuboctahedra; and faces with eight equivalent Mg(2)Li2Mg8Cr2 cuboctahedra. Cr(1) is bonded to two equivalent Li(1); two equivalent Mg(4); four Mg(1,1,1); and four equivalent Mg(2) atoms to form CrLi2Mg10 cuboctahedra that share corners with four equivalent Li(1)Mg10Cr2 cuboctahedra; corners with six equivalent Cr(1)Li2Mg10 cuboctahedra; corners with eight Mg(1,1,1)Li2Mg8Cr2 cuboctahedra; edges with two equivalent Li(1)Mg10Cr2 cuboctahedra; edges with four Mg(1,1,1)Li2Mg8Cr2 cuboctahedra; edges with four equivalent Mg(4)Mg10Cr2 cuboctahedra; edges with eight equivalent Mg(2)Li2Mg8Cr2 cuboctahedra; faces with two equivalent Li(1)Mg10Cr2 cuboctahedra; faces with two equivalent Mg(4)Mg10Cr2 cuboctahedra; faces with two equivalent Cr(1)Li2Mg10 cuboctahedra; faces with four Mg(1,1,1)Li2Mg8Cr2 cuboctahedra; faces with four equivalent Mg(2)Li2Mg8Cr2 cuboctahedra; and faces with six equivalent Mg(3)Li2Mg10 cuboctahedra. is represented by the CIF card [CIF]
data_LiMg6Cr
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.017
_cell_length_b   6.218
_cell_length_c   6.218
_cell_angle_alpha   119.065
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   169.582
_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
  Cr  Cr0  1  0.500  0.666  0.334  1.0
  Li  Li1  1  0.500  0.166  0.834  1.0
  Mg  Mg2  1  0.500  0.166  0.332  1.0
  Mg  Mg3  1  0.500  0.668  0.834  1.0
  Mg  Mg4  1  0.000  0.341  0.168  1.0
  Mg  Mg5  1  0.000  0.832  0.659  1.0
  Mg  Mg6  1  0.000  0.332  0.668  1.0
  Mg  Mg7  1  0.000  0.829  0.171  1.0
[/CIF]
.
The structure described by LiMg6Cr is beta Cu3Ti-derived structured and crystallizes in the orthorhombic Amm2 space group. Li(1) is bonded to two equivalent Mg(3); four Mg(1,1,1); four equivalent Mg(2); and two equivalent Cr(1) atoms to form LiMg10Cr2 cuboctahedra that share corners with four equivalent Cr(1)Li2Mg10 cuboctahedra; corners with six equivalent Li(1)Mg10Cr2 cuboctahedra; corners with eight Mg(1,1,1)Li2Mg8Cr2 cuboctahedra; edges with two equivalent Cr(1)Li2Mg10 cuboctahedra; edges with four equivalent Mg(3)Li2Mg10 cuboctahedra; edges with four Mg(1,1,1)Li2Mg8Cr2 cuboctahedra; edges with eight equivalent Mg(2)Li2Mg8Cr2 cuboctahedra; faces with two equivalent Li(1)Mg10Cr2 cuboctahedra; faces with two equivalent Mg(3)Li2Mg10 cuboctahedra; faces with two equivalent Cr(1)Li2Mg10 cuboctahedra; faces with four Mg(1,1,1)Li2Mg8Cr2 cuboctahedra; faces with four equivalent Mg(2)Li2Mg8Cr2 cuboctahedra; and faces with six equivalent Mg(4)Mg10Cr2 cuboctahedra. There are six inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Li(1), two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), and two equivalent Cr(1) atoms to form distorted MgLi2Mg8Cr2 cuboctahedra that share corners with four equivalent Li(1)Mg10Cr2 cuboctahedra; corners with four equivalent Cr(1)Li2Mg10 cuboctahedra; corners with ten Mg(1,1,1)Li2Mg8Cr2 cuboctahedra; edges with two equivalent Li(1)Mg10Cr2 cuboctahedra; edges with two equivalent Mg(1)Li2Mg8Cr2 cuboctahedra; edges with two equivalent Cr(1)Li2Mg10 cuboctahedra; edges with four equivalent Mg(3)Li2Mg10 cuboctahedra; edges with four equivalent Mg(2)Li2Mg8Cr2 cuboctahedra; edges with four equivalent Mg(4)Mg10Cr2 cuboctahedra; faces with two equivalent Li(1)Mg10Cr2 cuboctahedra; faces with two equivalent Mg(3)Li2Mg10 cuboctahedra; faces with two equivalent Mg(4)Mg10Cr2 cuboctahedra; faces with two equivalent Cr(1)Li2Mg10 cuboctahedra; faces with four Mg(1,1)Li2Mg8Cr2 cuboctahedra; and faces with eight equivalent Mg(2)Li2Mg8Cr2 cuboctahedra. In the second Mg site, Mg(1) is bonded to two equivalent Li(1), two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), and two equivalent Cr(1) atoms to form distorted MgLi2Mg8Cr2 cuboctahedra that share corners with four equivalent Li(1)Mg10Cr2 cuboctahedra; corners with four equivalent Cr(1)Li2Mg10 cuboctahedra; corners with ten Mg(1,1)Li2Mg8Cr2 cuboctahedra; edges with two equivalent Li(1)Mg10Cr2 cuboctahedra; edges with two equivalent Mg(1)Li2Mg8Cr2 cuboctahedra; edges with two equivalent Cr(1)Li2Mg10 cuboctahedra; edges with four equivalent Mg(3)Li2Mg10 cuboctahedra; edges with four equivalent Mg(2)Li2Mg8Cr2 cuboctahedra; edges with four equivalent Mg(4)Mg10Cr2 cuboctahedra; faces with two equivalent Li(1)Mg10Cr2 cuboctahedra; faces with two equivalent Mg(3)Li2Mg10 cuboctahedra; faces with two equivalent Mg(4)Mg10Cr2 cuboctahedra; faces with two equivalent Cr(1)Li2Mg10 cuboctahedra; faces with four Mg(1,1)Li2Mg8Cr2 cuboctahedra; and faces with eight equivalent Mg(2)Li2Mg8Cr2 cuboctahedra. In the third Mg site, Mg(2) is bonded to two equivalent Li(1), two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), and two equivalent Cr(1) atoms to form distorted MgLi2Mg8Cr2 cuboctahedra that share corners with four equivalent Mg(3)Li2Mg10 cuboctahedra; corners with four equivalent Mg(4)Mg10Cr2 cuboctahedra; corners with ten equivalent Mg(2)Li2Mg8Cr2 cuboctahedra; edges with two equivalent Mg(3)Li2Mg10 cuboctahedra; edges with two equivalent Mg(2)Li2Mg8Cr2 cuboctahedra; edges with two equivalent Mg(4)Mg10Cr2 cuboctahedra; edges with four equivalent Li(1)Mg10Cr2 cuboctahedra; edges with four equivalent Mg(1)Li2Mg8Cr2 cuboctahedra; edges with four equivalent Cr(1)Li2Mg10 cuboctahedra; faces with two equivalent Li(1)Mg10Cr2 cuboctahedra; faces with two equivalent Mg(3)Li2Mg10 cuboctahedra; faces with two equivalent Mg(4)Mg10Cr2 cuboctahedra; faces with two equivalent Cr(1)Li2Mg10 cuboctahedra; faces with four equivalent Mg(2)Li2Mg8Cr2 cuboctahedra; and faces with eight Mg(1,1)Li2Mg8Cr2 cuboctahedra. In the fourth Mg site, Mg(3) is bonded to two equivalent Li(1); two equivalent Mg(4); four Mg(1,1); and four equivalent Mg(2) atoms to form distorted MgLi2Mg10 cuboctahedra that share corners with four equivalent Mg(4)Mg10Cr2 cuboctahedra; corners with six equivalent Mg(3)Li2Mg10 cuboctahedra; corners with eight equivalent Mg(2)Li2Mg8Cr2 cuboctahedra; edges with two equivalent Mg(4)Mg10Cr2 cuboctahedra; edges with four equivalent Li(1)Mg10Cr2 cuboctahedra; edges with four equivalent Mg(2)Li2Mg8Cr2 cuboctahedra; edges with eight Mg(1,1,1)Li2Mg8Cr2 cuboctahedra; faces with two equivalent Li(1)Mg10Cr2 cuboctahedra; faces with two equivalent Mg(3)Li2Mg10 cuboctahedra; faces with two equivalent Mg(4)Mg10Cr2 cuboctahedra; faces with four Mg(1,1)Li2Mg8Cr2 cuboctahedra; faces with four equivalent Mg(2)Li2Mg8Cr2 cuboctahedra; and faces with six equivalent Cr(1)Li2Mg10 cuboctahedra. In the fifth Mg site, Mg(4) is bonded to two equivalent Mg(3); four Mg(1,1); four equivalent Mg(2); and two equivalent Cr(1) atoms to form distorted MgMg10Cr2 cuboctahedra that share corners with four equivalent Mg(3)Li2Mg10 cuboctahedra; corners with six equivalent Mg(4)Mg10Cr2 cuboctahedra; corners with eight equivalent Mg(2)Li2Mg8Cr2 cuboctahedra; edges with two equivalent Mg(3)Li2Mg10 cuboctahedra; edges with four equivalent Mg(2)Li2Mg8Cr2 cuboctahedra; edges with four equivalent Cr(1)Li2Mg10 cuboctahedra; edges with eight Mg(1,1,1)Li2Mg8Cr2 cuboctahedra; faces with two equivalent Mg(3)Li2Mg10 cuboctahedra; faces with two equivalent Mg(4)Mg10Cr2 cuboctahedra; faces with two equivalent Cr(1)Li2Mg10 cuboctahedra; faces with four Mg(1,1)Li2Mg8Cr2 cuboctahedra; faces with four equivalent Mg(2)Li2Mg8Cr2 cuboctahedra; and faces with six equivalent Li(1)Mg10Cr2 cuboctahedra. In the sixth Mg site, Mg(1) is bonded to two equivalent Li(1), two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), and two equivalent Cr(1) atoms to form distorted MgLi2Mg8Cr2 cuboctahedra that share corners with four equivalent Li(1)Mg10Cr2 cuboctahedra; corners with four equivalent Cr(1)Li2Mg10 cuboctahedra; corners with ten Mg(1,1,1)Li2Mg8Cr2 cuboctahedra; edges with two equivalent Li(1)Mg10Cr2 cuboctahedra; edges with two equivalent Mg(1)Li2Mg8Cr2 cuboctahedra; edges with two equivalent Cr(1)Li2Mg10 cuboctahedra; edges with four equivalent Mg(3)Li2Mg10 cuboctahedra; edges with four equivalent Mg(2)Li2Mg8Cr2 cuboctahedra; edges with four equivalent Mg(4)Mg10Cr2 cuboctahedra; faces with two equivalent Li(1)Mg10Cr2 cuboctahedra; faces with two equivalent Mg(3)Li2Mg10 cuboctahedra; faces with two equivalent Mg(4)Mg10Cr2 cuboctahedra; faces with two equivalent Cr(1)Li2Mg10 cuboctahedra; faces with four Mg(1,1)Li2Mg8Cr2 cuboctahedra; and faces with eight equivalent Mg(2)Li2Mg8Cr2 cuboctahedra. Cr(1) is bonded to two equivalent Li(1); two equivalent Mg(4); four Mg(1,1,1); and four equivalent Mg(2) atoms to form CrLi2Mg10 cuboctahedra that share corners with four equivalent Li(1)Mg10Cr2 cuboctahedra; corners with six equivalent Cr(1)Li2Mg10 cuboctahedra; corners with eight Mg(1,1,1)Li2Mg8Cr2 cuboctahedra; edges with two equivalent Li(1)Mg10Cr2 cuboctahedra; edges with four Mg(1,1,1)Li2Mg8Cr2 cuboctahedra; edges with four equivalent Mg(4)Mg10Cr2 cuboctahedra; edges with eight equivalent Mg(2)Li2Mg8Cr2 cuboctahedra; faces with two equivalent Li(1)Mg10Cr2 cuboctahedra; faces with two equivalent Mg(4)Mg10Cr2 cuboctahedra; faces with two equivalent Cr(1)Li2Mg10 cuboctahedra; faces with four Mg(1,1,1)Li2Mg8Cr2 cuboctahedra; faces with four equivalent Mg(2)Li2Mg8Cr2 cuboctahedra; and faces with six equivalent Mg(3)Li2Mg10 cuboctahedra. is represented by the CIF card [CIF]
data_LiMg6Cr
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.017
_cell_length_b   6.218
_cell_length_c   6.218
_cell_angle_alpha   119.065
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   169.582
_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
  Cr  Cr0  1  0.500  0.666  0.334  1.0
  Li  Li1  1  0.500  0.166  0.834  1.0
  Mg  Mg2  1  0.500  0.166  0.332  1.0
  Mg  Mg3  1  0.500  0.668  0.834  1.0
  Mg  Mg4  1  0.000  0.341  0.168  1.0
  Mg  Mg5  1  0.000  0.832  0.659  1.0
  Mg  Mg6  1  0.000  0.332  0.668  1.0
  Mg  Mg7  1  0.000  0.829  0.171  1.0
[/CIF]
.