The structure described by Mg5Mn4 crystallizes in the orthorhombic Pbam space group. There are five inequivalent Mg sites. In the first Mg site, Mg(1) is bonded in a 7-coordinate geometry to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), one Mn(4), two equivalent Mn(2), and two equivalent Mn(3) atoms. In the second Mg site, Mg(2) is bonded in a 12-coordinate geometry to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(5), two equivalent Mn(2), and four equivalent Mn(4) atoms. In the third Mg site, Mg(3) is bonded to two equivalent Mg(1), two equivalent Mg(3), two equivalent Mg(4), two equivalent Mg(5), two equivalent Mn(1), and two equivalent Mn(4) atoms to form distorted MgMg8Mn4 cuboctahedra that share corners with four equivalent Mg(3)Mg8Mn4 cuboctahedra,  an edgeedge with one Mg(3)Mg8Mn4 cuboctahedra, edges with two equivalent Mn(4)Mg8Mn4 cuboctahedra, faces with two equivalent Mg(3)Mg8Mn4 cuboctahedra, and faces with two equivalent Mn(4)Mg8Mn4 cuboctahedra. In the fourth Mg site, Mg(4) is bonded in a 5-coordinate geometry to one Mg(5), two equivalent Mg(3), one Mn(1), two equivalent Mn(3), and two equivalent Mn(5) atoms. In the fifth Mg site, Mg(5) is bonded in a 13-coordinate geometry to one Mg(4), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(5), one Mn(1), one Mn(4), two equivalent Mn(2), and two equivalent Mn(3) atoms. There are five inequivalent Mn sites. In the first Mn site, Mn(5) is bonded in a 6-coordinate geometry to four equivalent Mg(4) and two equivalent Mn(3) atoms. In the second Mn site, Mn(1) is bonded in a 10-coordinate geometry to two equivalent Mg(4), two equivalent Mg(5), four equivalent Mg(3), and two equivalent Mn(1) atoms. In the third Mn site, Mn(2) is bonded in a 11-coordinate geometry to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(5), one Mn(3), two equivalent Mn(2), and two equivalent Mn(4) atoms. In the fourth Mn site, Mn(3) is bonded in a 10-coordinate geometry to two equivalent Mg(1), two equivalent Mg(4), two equivalent Mg(5), one Mn(2), one Mn(5), and two equivalent Mn(3) atoms. In the fifth Mn site, Mn(4) is bonded to one Mg(1), one Mg(5), two equivalent Mg(3), four equivalent Mg(2), two equivalent Mn(2), and two equivalent Mn(4) atoms to form distorted MnMg8Mn4 cuboctahedra that share corners with six equivalent Mn(4)Mg8Mn4 cuboctahedra, edges with two equivalent Mg(3)Mg8Mn4 cuboctahedra, edges with two equivalent Mn(4)Mg8Mn4 cuboctahedra, faces with two equivalent Mg(3)Mg8Mn4 cuboctahedra, and faces with two equivalent Mn(4)Mg8Mn4 cuboctahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_Mg5Mn4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   2.864
_cell_length_b   9.868
_cell_length_c   23.335
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   659.394
_cell_formula_units_Z   4
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  0.500  0.394  0.368  1.0
  Mg  Mg1  1  0.500  0.606  0.632  1.0
  Mg  Mg2  1  0.500  0.106  0.868  1.0
  Mg  Mg3  1  0.500  0.894  0.132  1.0
  Mg  Mg4  1  0.000  0.375  0.246  1.0
  Mg  Mg5  1  0.000  0.625  0.754  1.0
  Mg  Mg6  1  0.000  0.125  0.746  1.0
  Mg  Mg7  1  0.000  0.875  0.254  1.0
  Mg  Mg8  1  0.000  0.115  0.400  1.0
  Mg  Mg9  1  0.000  0.885  0.600  1.0
  Mg  Mg10  1  0.000  0.385  0.900  1.0
  Mg  Mg11  1  0.000  0.615  0.100  1.0
  Mg  Mg12  1  0.500  0.232  0.001  1.0
  Mg  Mg13  1  0.500  0.768  0.999  1.0
  Mg  Mg14  1  0.500  0.268  0.501  1.0
  Mg  Mg15  1  0.500  0.732  0.499  1.0
  Mg  Mg16  1  0.500  0.343  0.127  1.0
  Mg  Mg17  1  0.500  0.657  0.873  1.0
  Mg  Mg18  1  0.500  0.157  0.627  1.0
  Mg  Mg19  1  0.500  0.843  0.373  1.0
  Mn  Mn20  1  0.500  0.000  0.500  1.0
  Mn  Mn21  1  0.500  0.500  0.000  1.0
  Mn  Mn22  1  0.000  0.120  0.197  1.0
  Mn  Mn23  1  0.000  0.880  0.803  1.0
  Mn  Mn24  1  0.000  0.380  0.697  1.0
  Mn  Mn25  1  0.000  0.620  0.303  1.0
  Mn  Mn26  1  0.000  0.384  0.589  1.0
  Mn  Mn27  1  0.000  0.616  0.411  1.0
  Mn  Mn28  1  0.000  0.116  0.089  1.0
  Mn  Mn29  1  0.000  0.884  0.911  1.0
  Mn  Mn30  1  0.500  0.127  0.292  1.0
  Mn  Mn31  1  0.500  0.873  0.708  1.0
  Mn  Mn32  1  0.500  0.373  0.792  1.0
  Mn  Mn33  1  0.500  0.627  0.208  1.0
  Mn  Mn34  1  0.000  0.000  0.000  1.0
  Mn  Mn35  1  0.000  0.500  0.500  1.0
[/CIF]
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The structure described by Mg5Mn4 crystallizes in the orthorhombic Pbam space group. There are five inequivalent Mg sites. In the first Mg site, Mg(1) is bonded in a 7-coordinate geometry to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), one Mn(4), two equivalent Mn(2), and two equivalent Mn(3) atoms. In the second Mg site, Mg(2) is bonded in a 12-coordinate geometry to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(5), two equivalent Mn(2), and four equivalent Mn(4) atoms. In the third Mg site, Mg(3) is bonded to two equivalent Mg(1), two equivalent Mg(3), two equivalent Mg(4), two equivalent Mg(5), two equivalent Mn(1), and two equivalent Mn(4) atoms to form distorted MgMg8Mn4 cuboctahedra that share corners with four equivalent Mg(3)Mg8Mn4 cuboctahedra,  an edgeedge with one Mg(3)Mg8Mn4 cuboctahedra, edges with two equivalent Mn(4)Mg8Mn4 cuboctahedra, faces with two equivalent Mg(3)Mg8Mn4 cuboctahedra, and faces with two equivalent Mn(4)Mg8Mn4 cuboctahedra. In the fourth Mg site, Mg(4) is bonded in a 5-coordinate geometry to one Mg(5), two equivalent Mg(3), one Mn(1), two equivalent Mn(3), and two equivalent Mn(5) atoms. In the fifth Mg site, Mg(5) is bonded in a 13-coordinate geometry to one Mg(4), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(5), one Mn(1), one Mn(4), two equivalent Mn(2), and two equivalent Mn(3) atoms. There are five inequivalent Mn sites. In the first Mn site, Mn(5) is bonded in a 6-coordinate geometry to four equivalent Mg(4) and two equivalent Mn(3) atoms. In the second Mn site, Mn(1) is bonded in a 10-coordinate geometry to two equivalent Mg(4), two equivalent Mg(5), four equivalent Mg(3), and two equivalent Mn(1) atoms. In the third Mn site, Mn(2) is bonded in a 11-coordinate geometry to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(5), one Mn(3), two equivalent Mn(2), and two equivalent Mn(4) atoms. In the fourth Mn site, Mn(3) is bonded in a 10-coordinate geometry to two equivalent Mg(1), two equivalent Mg(4), two equivalent Mg(5), one Mn(2), one Mn(5), and two equivalent Mn(3) atoms. In the fifth Mn site, Mn(4) is bonded to one Mg(1), one Mg(5), two equivalent Mg(3), four equivalent Mg(2), two equivalent Mn(2), and two equivalent Mn(4) atoms to form distorted MnMg8Mn4 cuboctahedra that share corners with six equivalent Mn(4)Mg8Mn4 cuboctahedra, edges with two equivalent Mg(3)Mg8Mn4 cuboctahedra, edges with two equivalent Mn(4)Mg8Mn4 cuboctahedra, faces with two equivalent Mg(3)Mg8Mn4 cuboctahedra, and faces with two equivalent Mn(4)Mg8Mn4 cuboctahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_Mg5Mn4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   2.864
_cell_length_b   9.868
_cell_length_c   23.335
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   659.394
_cell_formula_units_Z   4
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  0.500  0.394  0.368  1.0
  Mg  Mg1  1  0.500  0.606  0.632  1.0
  Mg  Mg2  1  0.500  0.106  0.868  1.0
  Mg  Mg3  1  0.500  0.894  0.132  1.0
  Mg  Mg4  1  0.000  0.375  0.246  1.0
  Mg  Mg5  1  0.000  0.625  0.754  1.0
  Mg  Mg6  1  0.000  0.125  0.746  1.0
  Mg  Mg7  1  0.000  0.875  0.254  1.0
  Mg  Mg8  1  0.000  0.115  0.400  1.0
  Mg  Mg9  1  0.000  0.885  0.600  1.0
  Mg  Mg10  1  0.000  0.385  0.900  1.0
  Mg  Mg11  1  0.000  0.615  0.100  1.0
  Mg  Mg12  1  0.500  0.232  0.001  1.0
  Mg  Mg13  1  0.500  0.768  0.999  1.0
  Mg  Mg14  1  0.500  0.268  0.501  1.0
  Mg  Mg15  1  0.500  0.732  0.499  1.0
  Mg  Mg16  1  0.500  0.343  0.127  1.0
  Mg  Mg17  1  0.500  0.657  0.873  1.0
  Mg  Mg18  1  0.500  0.157  0.627  1.0
  Mg  Mg19  1  0.500  0.843  0.373  1.0
  Mn  Mn20  1  0.500  0.000  0.500  1.0
  Mn  Mn21  1  0.500  0.500  0.000  1.0
  Mn  Mn22  1  0.000  0.120  0.197  1.0
  Mn  Mn23  1  0.000  0.880  0.803  1.0
  Mn  Mn24  1  0.000  0.380  0.697  1.0
  Mn  Mn25  1  0.000  0.620  0.303  1.0
  Mn  Mn26  1  0.000  0.384  0.589  1.0
  Mn  Mn27  1  0.000  0.616  0.411  1.0
  Mn  Mn28  1  0.000  0.116  0.089  1.0
  Mn  Mn29  1  0.000  0.884  0.911  1.0
  Mn  Mn30  1  0.500  0.127  0.292  1.0
  Mn  Mn31  1  0.500  0.873  0.708  1.0
  Mn  Mn32  1  0.500  0.373  0.792  1.0
  Mn  Mn33  1  0.500  0.627  0.208  1.0
  Mn  Mn34  1  0.000  0.000  0.000  1.0
  Mn  Mn35  1  0.000  0.500  0.500  1.0
[/CIF]
.