The crystal structure described by Mg5Sc is Magnesium-derived structured and crystallizes in the monoclinic Cm space group. There are five inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to one Mg(4), two equivalent Mg(1), two equivalent Mg(3), two equivalent Mg(5), three equivalent Mg(2), and two equivalent Sc(1) atoms to form MgMg10Sc2 cuboctahedra that share corners with six equivalent Mg(1)Mg10Sc2 cuboctahedra, corners with six equivalent Mg(3)Mg11Sc cuboctahedra, corners with six equivalent Mg(5)Mg9Sc3 cuboctahedra, edges with two equivalent Mg(2)Mg10Sc2 cuboctahedra, edges with three equivalent Mg(3)Mg11Sc cuboctahedra, edges with three equivalent Mg(5)Mg9Sc3 cuboctahedra, edges with four equivalent Mg(4)Mg10Sc2 cuboctahedra, edges with six equivalent Sc(1)Mg10Sc2 cuboctahedra, faces with two equivalent Mg(1)Mg10Sc2 cuboctahedra, faces with three equivalent Mg(3)Mg11Sc cuboctahedra, faces with three equivalent Mg(5)Mg9Sc3 cuboctahedra, faces with three equivalent Sc(1)Mg10Sc2 cuboctahedra, faces with four equivalent Mg(4)Mg10Sc2 cuboctahedra, and faces with five equivalent Mg(2)Mg10Sc2 cuboctahedra. In the second Mg site, Mg(2) is bonded to one Mg(5), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), three equivalent Mg(1), and two equivalent Sc(1) atoms to form MgMg10Sc2 cuboctahedra that share corners with six equivalent Mg(2)Mg10Sc2 cuboctahedra, corners with six equivalent Mg(4)Mg10Sc2 cuboctahedra, corners with six equivalent Sc(1)Mg10Sc2 cuboctahedra, edges with two equivalent Mg(1)Mg10Sc2 cuboctahedra, edges with three equivalent Mg(4)Mg10Sc2 cuboctahedra, edges with three equivalent Sc(1)Mg10Sc2 cuboctahedra, edges with four equivalent Mg(5)Mg9Sc3 cuboctahedra, edges with six equivalent Mg(3)Mg11Sc cuboctahedra, faces with two equivalent Mg(2)Mg10Sc2 cuboctahedra, faces with three equivalent Mg(4)Mg10Sc2 cuboctahedra, faces with three equivalent Mg(3)Mg11Sc cuboctahedra, faces with three equivalent Sc(1)Mg10Sc2 cuboctahedra, faces with four equivalent Mg(5)Mg9Sc3 cuboctahedra, and faces with five equivalent Mg(1)Mg10Sc2 cuboctahedra. In the third Mg site, Mg(3) is bonded to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(5), three equivalent Mg(4), and one Sc(1) atom to form MgMg11Sc cuboctahedra that share corners with six equivalent Mg(1)Mg10Sc2 cuboctahedra, corners with six equivalent Mg(3)Mg11Sc cuboctahedra, corners with six equivalent Mg(5)Mg9Sc3 cuboctahedra, edges with two equivalent Mg(4)Mg10Sc2 cuboctahedra, edges with three equivalent Mg(1)Mg10Sc2 cuboctahedra, edges with three equivalent Mg(5)Mg9Sc3 cuboctahedra, edges with four equivalent Sc(1)Mg10Sc2 cuboctahedra, edges with six equivalent Mg(2)Mg10Sc2 cuboctahedra, faces with two equivalent Mg(3)Mg11Sc cuboctahedra, faces with three equivalent Mg(1)Mg10Sc2 cuboctahedra, faces with three equivalent Mg(2)Mg10Sc2 cuboctahedra, faces with three equivalent Mg(5)Mg9Sc3 cuboctahedra, faces with four equivalent Sc(1)Mg10Sc2 cuboctahedra, and faces with five equivalent Mg(4)Mg10Sc2 cuboctahedra. In the fourth Mg site, Mg(4) is bonded to one Mg(1), two equivalent Mg(2), two equivalent Mg(4), two equivalent Mg(5), three equivalent Mg(3), and two equivalent Sc(1) atoms to form MgMg10Sc2 cuboctahedra that share corners with six equivalent Mg(2)Mg10Sc2 cuboctahedra, corners with six equivalent Mg(4)Mg10Sc2 cuboctahedra, corners with six equivalent Sc(1)Mg10Sc2 cuboctahedra, edges with two equivalent Mg(3)Mg11Sc cuboctahedra, edges with three equivalent Mg(2)Mg10Sc2 cuboctahedra, edges with three equivalent Sc(1)Mg10Sc2 cuboctahedra, edges with four equivalent Mg(1)Mg10Sc2 cuboctahedra, edges with six equivalent Mg(5)Mg9Sc3 cuboctahedra, faces with two equivalent Mg(4)Mg10Sc2 cuboctahedra, faces with three equivalent Mg(2)Mg10Sc2 cuboctahedra, faces with three equivalent Mg(5)Mg9Sc3 cuboctahedra, faces with three equivalent Sc(1)Mg10Sc2 cuboctahedra, faces with four equivalent Mg(1)Mg10Sc2 cuboctahedra, and faces with five equivalent Mg(3)Mg11Sc cuboctahedra. In the fifth Mg site, Mg(5) is bonded to one Mg(2), two equivalent Mg(1), two equivalent Mg(3), two equivalent Mg(4), two equivalent Mg(5), and three equivalent Sc(1) atoms to form MgMg9Sc3 cuboctahedra that share corners with six equivalent Mg(1)Mg10Sc2 cuboctahedra, corners with six equivalent Mg(3)Mg11Sc cuboctahedra, corners with six equivalent Mg(5)Mg9Sc3 cuboctahedra, edges with two equivalent Sc(1)Mg10Sc2 cuboctahedra, edges with three equivalent Mg(1)Mg10Sc2 cuboctahedra, edges with three equivalent Mg(3)Mg11Sc cuboctahedra, edges with four equivalent Mg(2)Mg10Sc2 cuboctahedra, edges with six equivalent Mg(4)Mg10Sc2 cuboctahedra, faces with two equivalent Mg(5)Mg9Sc3 cuboctahedra, faces with three equivalent Mg(1)Mg10Sc2 cuboctahedra, faces with three equivalent Mg(4)Mg10Sc2 cuboctahedra, faces with three equivalent Mg(3)Mg11Sc cuboctahedra, faces with four equivalent Mg(2)Mg10Sc2 cuboctahedra, and faces with five equivalent Sc(1)Mg10Sc2 cuboctahedra. Sc(1) is bonded to one Mg(3), two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(4), three equivalent Mg(5), and two equivalent Sc(1) atoms to form ScMg10Sc2 cuboctahedra that share corners with six equivalent Mg(2)Mg10Sc2 cuboctahedra, corners with six equivalent Mg(4)Mg10Sc2 cuboctahedra, corners with six equivalent Sc(1)Mg10Sc2 cuboctahedra, edges with two equivalent Mg(5)Mg9Sc3 cuboctahedra, edges with three equivalent Mg(2)Mg10Sc2 cuboctahedra, edges with three equivalent Mg(4)Mg10Sc2 cuboctahedra, edges with four equivalent Mg(3)Mg11Sc cuboctahedra, edges with six equivalent Mg(1)Mg10Sc2 cuboctahedra, faces with two equivalent Sc(1)Mg10Sc2 cuboctahedra, faces with three equivalent Mg(1)Mg10Sc2 cuboctahedra, faces with three equivalent Mg(2)Mg10Sc2 cuboctahedra, faces with three equivalent Mg(4)Mg10Sc2 cuboctahedra, faces with four equivalent Mg(3)Mg11Sc cuboctahedra, and faces with five equivalent Mg(5)Mg9Sc3 cuboctahedra. is represented by the CIF card [CIF]
data_Mg5Sc
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.151
_cell_length_b   6.151
_cell_length_c   7.610
_cell_angle_alpha   75.435
_cell_angle_beta   75.435
_cell_angle_gamma   29.728
_symmetry_Int_Tables_number   1
_cell_volume   137.874
_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  0.999  0.999  0.000  1.0
  Mg  Mg1  1  0.277  0.277  0.945  1.0
  Mg  Mg2  1  0.666  0.666  0.663  1.0
  Mg  Mg3  1  0.942  0.942  0.616  1.0
  Mg  Mg4  1  0.336  0.336  0.334  1.0
  Sc  Sc5  1  0.612  0.612  0.275  1.0
[/CIF]
.
The crystal structure described by Mg5Sc is Magnesium-derived structured and crystallizes in the monoclinic Cm space group. There are five inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to one Mg(4), two equivalent Mg(1), two equivalent Mg(3), two equivalent Mg(5), three equivalent Mg(2), and two equivalent Sc(1) atoms to form MgMg10Sc2 cuboctahedra that share corners with six equivalent Mg(1)Mg10Sc2 cuboctahedra, corners with six equivalent Mg(3)Mg11Sc cuboctahedra, corners with six equivalent Mg(5)Mg9Sc3 cuboctahedra, edges with two equivalent Mg(2)Mg10Sc2 cuboctahedra, edges with three equivalent Mg(3)Mg11Sc cuboctahedra, edges with three equivalent Mg(5)Mg9Sc3 cuboctahedra, edges with four equivalent Mg(4)Mg10Sc2 cuboctahedra, edges with six equivalent Sc(1)Mg10Sc2 cuboctahedra, faces with two equivalent Mg(1)Mg10Sc2 cuboctahedra, faces with three equivalent Mg(3)Mg11Sc cuboctahedra, faces with three equivalent Mg(5)Mg9Sc3 cuboctahedra, faces with three equivalent Sc(1)Mg10Sc2 cuboctahedra, faces with four equivalent Mg(4)Mg10Sc2 cuboctahedra, and faces with five equivalent Mg(2)Mg10Sc2 cuboctahedra. In the second Mg site, Mg(2) is bonded to one Mg(5), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), three equivalent Mg(1), and two equivalent Sc(1) atoms to form MgMg10Sc2 cuboctahedra that share corners with six equivalent Mg(2)Mg10Sc2 cuboctahedra, corners with six equivalent Mg(4)Mg10Sc2 cuboctahedra, corners with six equivalent Sc(1)Mg10Sc2 cuboctahedra, edges with two equivalent Mg(1)Mg10Sc2 cuboctahedra, edges with three equivalent Mg(4)Mg10Sc2 cuboctahedra, edges with three equivalent Sc(1)Mg10Sc2 cuboctahedra, edges with four equivalent Mg(5)Mg9Sc3 cuboctahedra, edges with six equivalent Mg(3)Mg11Sc cuboctahedra, faces with two equivalent Mg(2)Mg10Sc2 cuboctahedra, faces with three equivalent Mg(4)Mg10Sc2 cuboctahedra, faces with three equivalent Mg(3)Mg11Sc cuboctahedra, faces with three equivalent Sc(1)Mg10Sc2 cuboctahedra, faces with four equivalent Mg(5)Mg9Sc3 cuboctahedra, and faces with five equivalent Mg(1)Mg10Sc2 cuboctahedra. In the third Mg site, Mg(3) is bonded to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(5), three equivalent Mg(4), and one Sc(1) atom to form MgMg11Sc cuboctahedra that share corners with six equivalent Mg(1)Mg10Sc2 cuboctahedra, corners with six equivalent Mg(3)Mg11Sc cuboctahedra, corners with six equivalent Mg(5)Mg9Sc3 cuboctahedra, edges with two equivalent Mg(4)Mg10Sc2 cuboctahedra, edges with three equivalent Mg(1)Mg10Sc2 cuboctahedra, edges with three equivalent Mg(5)Mg9Sc3 cuboctahedra, edges with four equivalent Sc(1)Mg10Sc2 cuboctahedra, edges with six equivalent Mg(2)Mg10Sc2 cuboctahedra, faces with two equivalent Mg(3)Mg11Sc cuboctahedra, faces with three equivalent Mg(1)Mg10Sc2 cuboctahedra, faces with three equivalent Mg(2)Mg10Sc2 cuboctahedra, faces with three equivalent Mg(5)Mg9Sc3 cuboctahedra, faces with four equivalent Sc(1)Mg10Sc2 cuboctahedra, and faces with five equivalent Mg(4)Mg10Sc2 cuboctahedra. In the fourth Mg site, Mg(4) is bonded to one Mg(1), two equivalent Mg(2), two equivalent Mg(4), two equivalent Mg(5), three equivalent Mg(3), and two equivalent Sc(1) atoms to form MgMg10Sc2 cuboctahedra that share corners with six equivalent Mg(2)Mg10Sc2 cuboctahedra, corners with six equivalent Mg(4)Mg10Sc2 cuboctahedra, corners with six equivalent Sc(1)Mg10Sc2 cuboctahedra, edges with two equivalent Mg(3)Mg11Sc cuboctahedra, edges with three equivalent Mg(2)Mg10Sc2 cuboctahedra, edges with three equivalent Sc(1)Mg10Sc2 cuboctahedra, edges with four equivalent Mg(1)Mg10Sc2 cuboctahedra, edges with six equivalent Mg(5)Mg9Sc3 cuboctahedra, faces with two equivalent Mg(4)Mg10Sc2 cuboctahedra, faces with three equivalent Mg(2)Mg10Sc2 cuboctahedra, faces with three equivalent Mg(5)Mg9Sc3 cuboctahedra, faces with three equivalent Sc(1)Mg10Sc2 cuboctahedra, faces with four equivalent Mg(1)Mg10Sc2 cuboctahedra, and faces with five equivalent Mg(3)Mg11Sc cuboctahedra. In the fifth Mg site, Mg(5) is bonded to one Mg(2), two equivalent Mg(1), two equivalent Mg(3), two equivalent Mg(4), two equivalent Mg(5), and three equivalent Sc(1) atoms to form MgMg9Sc3 cuboctahedra that share corners with six equivalent Mg(1)Mg10Sc2 cuboctahedra, corners with six equivalent Mg(3)Mg11Sc cuboctahedra, corners with six equivalent Mg(5)Mg9Sc3 cuboctahedra, edges with two equivalent Sc(1)Mg10Sc2 cuboctahedra, edges with three equivalent Mg(1)Mg10Sc2 cuboctahedra, edges with three equivalent Mg(3)Mg11Sc cuboctahedra, edges with four equivalent Mg(2)Mg10Sc2 cuboctahedra, edges with six equivalent Mg(4)Mg10Sc2 cuboctahedra, faces with two equivalent Mg(5)Mg9Sc3 cuboctahedra, faces with three equivalent Mg(1)Mg10Sc2 cuboctahedra, faces with three equivalent Mg(4)Mg10Sc2 cuboctahedra, faces with three equivalent Mg(3)Mg11Sc cuboctahedra, faces with four equivalent Mg(2)Mg10Sc2 cuboctahedra, and faces with five equivalent Sc(1)Mg10Sc2 cuboctahedra. Sc(1) is bonded to one Mg(3), two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(4), three equivalent Mg(5), and two equivalent Sc(1) atoms to form ScMg10Sc2 cuboctahedra that share corners with six equivalent Mg(2)Mg10Sc2 cuboctahedra, corners with six equivalent Mg(4)Mg10Sc2 cuboctahedra, corners with six equivalent Sc(1)Mg10Sc2 cuboctahedra, edges with two equivalent Mg(5)Mg9Sc3 cuboctahedra, edges with three equivalent Mg(2)Mg10Sc2 cuboctahedra, edges with three equivalent Mg(4)Mg10Sc2 cuboctahedra, edges with four equivalent Mg(3)Mg11Sc cuboctahedra, edges with six equivalent Mg(1)Mg10Sc2 cuboctahedra, faces with two equivalent Sc(1)Mg10Sc2 cuboctahedra, faces with three equivalent Mg(1)Mg10Sc2 cuboctahedra, faces with three equivalent Mg(2)Mg10Sc2 cuboctahedra, faces with three equivalent Mg(4)Mg10Sc2 cuboctahedra, faces with four equivalent Mg(3)Mg11Sc cuboctahedra, and faces with five equivalent Mg(5)Mg9Sc3 cuboctahedra. is represented by the CIF card [CIF]
data_Mg5Sc
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.151
_cell_length_b   6.151
_cell_length_c   7.610
_cell_angle_alpha   75.435
_cell_angle_beta   75.435
_cell_angle_gamma   29.728
_symmetry_Int_Tables_number   1
_cell_volume   137.874
_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  0.999  0.999  0.000  1.0
  Mg  Mg1  1  0.277  0.277  0.945  1.0
  Mg  Mg2  1  0.666  0.666  0.663  1.0
  Mg  Mg3  1  0.942  0.942  0.616  1.0
  Mg  Mg4  1  0.336  0.336  0.334  1.0
  Sc  Sc5  1  0.612  0.612  0.275  1.0
[/CIF]
.