The structure described by Mg5Pr4Ge6 crystallizes in the orthorhombic Cmc2_1 space group. There are five inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to one Ge(2), one Ge(3), and two equivalent Ge(6) atoms to form distorted MgGe4 tetrahedra that share corners with three equivalent Pr(3)Ge6 octahedra, corners with three equivalent Pr(4)Ge6 octahedra, corners with two equivalent Mg(1)Ge4 tetrahedra, corners with two equivalent Mg(4)Ge4 tetrahedra,  an edgeedge with one Mg(2)Ge4 tetrahedra, edges with two equivalent Mg(3)Ge4 tetrahedra, and edges with two equivalent Mg(5)Ge4 tetrahedra. The corner-sharing octahedral tilt angles range from 55-60°. In the second Mg site, Mg(2) is bonded to one Ge(2), one Ge(3), and two equivalent Ge(1) atoms to form distorted MgGe4 tetrahedra that share  a cornercorner with one Pr(3)Ge6 octahedra,  a cornercorner with one Pr(4)Ge6 octahedra, corners with two equivalent Mg(2)Ge4 tetrahedra, corners with two equivalent Mg(3)Ge4 tetrahedra, corners with two equivalent Mg(4)Ge4 tetrahedra, corners with two equivalent Mg(5)Ge4 tetrahedra, edges with two equivalent Pr(3)Ge6 octahedra, edges with two equivalent Pr(4)Ge6 octahedra,  an edgeedge with one Mg(1)Ge4 tetrahedra, and  an edgeedge with one Mg(4)Ge4 tetrahedra. The corner-sharing octahedral tilt angles range from 9-11°. In the third Mg site, Mg(3) is bonded to one Ge(4), one Ge(6), and two equivalent Ge(3) atoms to form distorted MgGe4 tetrahedra that share corners with two equivalent Pr(3)Ge6 octahedra,  a cornercorner with one Mg(4)Ge4 tetrahedra,  a cornercorner with one Mg(5)Ge4 tetrahedra, corners with two equivalent Mg(2)Ge4 tetrahedra, corners with two equivalent Mg(3)Ge4 tetrahedra,  an edgeedge with one Pr(3)Ge6 octahedra, edges with two equivalent Pr(4)Ge6 octahedra, and edges with two equivalent Mg(1)Ge4 tetrahedra. The corner-sharing octahedral tilt angles are 15°. In the fourth Mg site, Mg(4) is bonded to one Ge(5), one Ge(6), and two equivalent Ge(1) atoms to form distorted MgGe4 tetrahedra that share corners with two equivalent Pr(4)Ge6 octahedra,  a cornercorner with one Mg(3)Ge4 tetrahedra, corners with two equivalent Mg(1)Ge4 tetrahedra, corners with two equivalent Mg(2)Ge4 tetrahedra, corners with two equivalent Mg(4)Ge4 tetrahedra, corners with two equivalent Mg(5)Ge4 tetrahedra, edges with two equivalent Pr(3)Ge6 octahedra, and  an edgeedge with one Mg(2)Ge4 tetrahedra. The corner-sharing octahedral tilt angles are 63°. In the fifth Mg site, Mg(5) is bonded to one Ge(5), one Ge(6), and two equivalent Ge(2) atoms to form MgGe4 tetrahedra that share corners with two equivalent Pr(4)Ge6 octahedra,  a cornercorner with one Mg(3)Ge4 tetrahedra, corners with two equivalent Mg(2)Ge4 tetrahedra, corners with two equivalent Mg(4)Ge4 tetrahedra, corners with two equivalent Mg(5)Ge4 tetrahedra,  an edgeedge with one Pr(4)Ge6 octahedra, edges with two equivalent Pr(3)Ge6 octahedra, and edges with two equivalent Mg(1)Ge4 tetrahedra. The corner-sharing octahedral tilt angles are 13°. There are four inequivalent Pr sites. In the first Pr site, Pr(1) is bonded in a 7-coordinate geometry to one Ge(1), two equivalent Ge(4), two equivalent Ge(5), and two equivalent Ge(6) atoms. In the second Pr site, Pr(2) is bonded in a 6-coordinate geometry to two equivalent Ge(4), two equivalent Ge(5), and two equivalent Ge(6) atoms. In the third Pr site, Pr(3) is bonded to one Ge(1), one Ge(2), two equivalent Ge(3), and two equivalent Ge(5) atoms to form PrGe6 octahedra that share  a cornercorner with one Pr(4)Ge6 octahedra,  a cornercorner with one Mg(2)Ge4 tetrahedra, corners with two equivalent Mg(3)Ge4 tetrahedra, corners with three equivalent Mg(1)Ge4 tetrahedra, edges with two equivalent Pr(3)Ge6 octahedra, edges with two equivalent Pr(4)Ge6 octahedra,  an edgeedge with one Mg(3)Ge4 tetrahedra, edges with two equivalent Mg(2)Ge4 tetrahedra, edges with two equivalent Mg(4)Ge4 tetrahedra, and edges with two equivalent Mg(5)Ge4 tetrahedra. The corner-sharing octahedral tilt angles are 43°. In the fourth Pr site, Pr(4) is bonded to one Ge(1), one Ge(3), two equivalent Ge(2), and two equivalent Ge(4) atoms to form PrGe6 octahedra that share  a cornercorner with one Pr(3)Ge6 octahedra,  a cornercorner with one Mg(2)Ge4 tetrahedra, corners with two equivalent Mg(4)Ge4 tetrahedra, corners with two equivalent Mg(5)Ge4 tetrahedra, corners with three equivalent Mg(1)Ge4 tetrahedra, edges with two equivalent Pr(3)Ge6 octahedra, edges with two equivalent Pr(4)Ge6 octahedra,  an edgeedge with one Mg(5)Ge4 tetrahedra, edges with two equivalent Mg(2)Ge4 tetrahedra, and edges with two equivalent Mg(3)Ge4 tetrahedra. The corner-sharing octahedral tilt angles are 43°. There are six inequivalent Ge sites. In the first Ge site, Ge(1) is bonded in a 7-coordinate geometry to two equivalent Mg(2), two equivalent Mg(4), one Pr(1), one Pr(3), and one Pr(4) atom. In the second Ge site, Ge(2) is bonded to one Mg(1), one Mg(2), two equivalent Mg(5), one Pr(3), and two equivalent Pr(4) atoms to form distorted edge-sharing GePr3Mg4 pentagonal bipyramids. In the third Ge site, Ge(3) is bonded to one Mg(1), one Mg(2), two equivalent Mg(3), one Pr(4), and two equivalent Pr(3) atoms to form distorted edge-sharing GePr3Mg4 pentagonal bipyramids. In the fourth Ge site, Ge(4) is bonded in a 8-coordinate geometry to one Mg(3), two equivalent Pr(1), two equivalent Pr(2), two equivalent Pr(4), and one Ge(5) atom. In the fifth Ge site, Ge(5) is bonded in a 9-coordinate geometry to one Mg(4), one Mg(5), two equivalent Pr(1), two equivalent Pr(2), two equivalent Pr(3), and one Ge(4) atom. In the sixth Ge site, Ge(6) is bonded in a 9-coordinate geometry to one Mg(3), one Mg(4), one Mg(5), two equivalent Mg(1), two equivalent Pr(1), and two equivalent Pr(2) atoms. is represented by the CIF file [CIF]
data_Pr4Mg5Ge6
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   10.321
_cell_length_b   10.321
_cell_length_c   16.073
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   154.901
_symmetry_Int_Tables_number   1
_cell_volume   726.236
_cell_formula_units_Z   2
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
  Pr  Pr0  1  0.013  0.987  0.764  1.0
  Pr  Pr1  1  0.987  0.013  0.264  1.0
  Pr  Pr2  1  0.033  0.967  0.501  1.0
  Pr  Pr3  1  0.967  0.033  0.001  1.0
  Pr  Pr4  1  0.165  0.835  0.963  1.0
  Pr  Pr5  1  0.835  0.165  0.463  1.0
  Pr  Pr6  1  0.175  0.825  0.322  1.0
  Pr  Pr7  1  0.825  0.175  0.822  1.0
  Mg  Mg8  1  0.155  0.845  0.642  1.0
  Mg  Mg9  1  0.845  0.155  0.142  1.0
  Mg  Mg10  1  0.303  0.697  0.645  1.0
  Mg  Mg11  1  0.697  0.303  0.145  1.0
  Mg  Mg12  1  0.340  0.660  0.998  1.0
  Mg  Mg13  1  0.660  0.340  0.498  1.0
  Mg  Mg14  1  0.442  0.558  0.596  1.0
  Mg  Mg15  1  0.558  0.442  0.096  1.0
  Mg  Mg16  1  0.650  0.350  0.786  1.0
  Mg  Mg17  1  0.350  0.650  0.286  1.0
  Ge  Ge18  1  0.114  0.886  0.146  1.0
  Ge  Ge19  1  0.886  0.114  0.646  1.0
  Ge  Ge20  1  0.226  0.774  0.786  1.0
  Ge  Ge21  1  0.774  0.226  0.286  1.0
  Ge  Ge22  1  0.232  0.768  0.500  1.0
  Ge  Ge23  1  0.768  0.232  1.000  1.0
  Ge  Ge24  1  0.433  0.567  0.864  1.0
  Ge  Ge25  1  0.567  0.433  0.364  1.0
  Ge  Ge26  1  0.555  0.445  0.914  1.0
  Ge  Ge27  1  0.445  0.555  0.414  1.0
  Ge  Ge28  1  0.572  0.428  0.638  1.0
  Ge  Ge29  1  0.428  0.572  0.138  1.0
[/CIF]
.
The structure described by Mg5Pr4Ge6 crystallizes in the orthorhombic Cmc2_1 space group. There are five inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to one Ge(2), one Ge(3), and two equivalent Ge(6) atoms to form distorted MgGe4 tetrahedra that share corners with three equivalent Pr(3)Ge6 octahedra, corners with three equivalent Pr(4)Ge6 octahedra, corners with two equivalent Mg(1)Ge4 tetrahedra, corners with two equivalent Mg(4)Ge4 tetrahedra,  an edgeedge with one Mg(2)Ge4 tetrahedra, edges with two equivalent Mg(3)Ge4 tetrahedra, and edges with two equivalent Mg(5)Ge4 tetrahedra. The corner-sharing octahedral tilt angles range from 55-60°. In the second Mg site, Mg(2) is bonded to one Ge(2), one Ge(3), and two equivalent Ge(1) atoms to form distorted MgGe4 tetrahedra that share  a cornercorner with one Pr(3)Ge6 octahedra,  a cornercorner with one Pr(4)Ge6 octahedra, corners with two equivalent Mg(2)Ge4 tetrahedra, corners with two equivalent Mg(3)Ge4 tetrahedra, corners with two equivalent Mg(4)Ge4 tetrahedra, corners with two equivalent Mg(5)Ge4 tetrahedra, edges with two equivalent Pr(3)Ge6 octahedra, edges with two equivalent Pr(4)Ge6 octahedra,  an edgeedge with one Mg(1)Ge4 tetrahedra, and  an edgeedge with one Mg(4)Ge4 tetrahedra. The corner-sharing octahedral tilt angles range from 9-11°. In the third Mg site, Mg(3) is bonded to one Ge(4), one Ge(6), and two equivalent Ge(3) atoms to form distorted MgGe4 tetrahedra that share corners with two equivalent Pr(3)Ge6 octahedra,  a cornercorner with one Mg(4)Ge4 tetrahedra,  a cornercorner with one Mg(5)Ge4 tetrahedra, corners with two equivalent Mg(2)Ge4 tetrahedra, corners with two equivalent Mg(3)Ge4 tetrahedra,  an edgeedge with one Pr(3)Ge6 octahedra, edges with two equivalent Pr(4)Ge6 octahedra, and edges with two equivalent Mg(1)Ge4 tetrahedra. The corner-sharing octahedral tilt angles are 15°. In the fourth Mg site, Mg(4) is bonded to one Ge(5), one Ge(6), and two equivalent Ge(1) atoms to form distorted MgGe4 tetrahedra that share corners with two equivalent Pr(4)Ge6 octahedra,  a cornercorner with one Mg(3)Ge4 tetrahedra, corners with two equivalent Mg(1)Ge4 tetrahedra, corners with two equivalent Mg(2)Ge4 tetrahedra, corners with two equivalent Mg(4)Ge4 tetrahedra, corners with two equivalent Mg(5)Ge4 tetrahedra, edges with two equivalent Pr(3)Ge6 octahedra, and  an edgeedge with one Mg(2)Ge4 tetrahedra. The corner-sharing octahedral tilt angles are 63°. In the fifth Mg site, Mg(5) is bonded to one Ge(5), one Ge(6), and two equivalent Ge(2) atoms to form MgGe4 tetrahedra that share corners with two equivalent Pr(4)Ge6 octahedra,  a cornercorner with one Mg(3)Ge4 tetrahedra, corners with two equivalent Mg(2)Ge4 tetrahedra, corners with two equivalent Mg(4)Ge4 tetrahedra, corners with two equivalent Mg(5)Ge4 tetrahedra,  an edgeedge with one Pr(4)Ge6 octahedra, edges with two equivalent Pr(3)Ge6 octahedra, and edges with two equivalent Mg(1)Ge4 tetrahedra. The corner-sharing octahedral tilt angles are 13°. There are four inequivalent Pr sites. In the first Pr site, Pr(1) is bonded in a 7-coordinate geometry to one Ge(1), two equivalent Ge(4), two equivalent Ge(5), and two equivalent Ge(6) atoms. In the second Pr site, Pr(2) is bonded in a 6-coordinate geometry to two equivalent Ge(4), two equivalent Ge(5), and two equivalent Ge(6) atoms. In the third Pr site, Pr(3) is bonded to one Ge(1), one Ge(2), two equivalent Ge(3), and two equivalent Ge(5) atoms to form PrGe6 octahedra that share  a cornercorner with one Pr(4)Ge6 octahedra,  a cornercorner with one Mg(2)Ge4 tetrahedra, corners with two equivalent Mg(3)Ge4 tetrahedra, corners with three equivalent Mg(1)Ge4 tetrahedra, edges with two equivalent Pr(3)Ge6 octahedra, edges with two equivalent Pr(4)Ge6 octahedra,  an edgeedge with one Mg(3)Ge4 tetrahedra, edges with two equivalent Mg(2)Ge4 tetrahedra, edges with two equivalent Mg(4)Ge4 tetrahedra, and edges with two equivalent Mg(5)Ge4 tetrahedra. The corner-sharing octahedral tilt angles are 43°. In the fourth Pr site, Pr(4) is bonded to one Ge(1), one Ge(3), two equivalent Ge(2), and two equivalent Ge(4) atoms to form PrGe6 octahedra that share  a cornercorner with one Pr(3)Ge6 octahedra,  a cornercorner with one Mg(2)Ge4 tetrahedra, corners with two equivalent Mg(4)Ge4 tetrahedra, corners with two equivalent Mg(5)Ge4 tetrahedra, corners with three equivalent Mg(1)Ge4 tetrahedra, edges with two equivalent Pr(3)Ge6 octahedra, edges with two equivalent Pr(4)Ge6 octahedra,  an edgeedge with one Mg(5)Ge4 tetrahedra, edges with two equivalent Mg(2)Ge4 tetrahedra, and edges with two equivalent Mg(3)Ge4 tetrahedra. The corner-sharing octahedral tilt angles are 43°. There are six inequivalent Ge sites. In the first Ge site, Ge(1) is bonded in a 7-coordinate geometry to two equivalent Mg(2), two equivalent Mg(4), one Pr(1), one Pr(3), and one Pr(4) atom. In the second Ge site, Ge(2) is bonded to one Mg(1), one Mg(2), two equivalent Mg(5), one Pr(3), and two equivalent Pr(4) atoms to form distorted edge-sharing GePr3Mg4 pentagonal bipyramids. In the third Ge site, Ge(3) is bonded to one Mg(1), one Mg(2), two equivalent Mg(3), one Pr(4), and two equivalent Pr(3) atoms to form distorted edge-sharing GePr3Mg4 pentagonal bipyramids. In the fourth Ge site, Ge(4) is bonded in a 8-coordinate geometry to one Mg(3), two equivalent Pr(1), two equivalent Pr(2), two equivalent Pr(4), and one Ge(5) atom. In the fifth Ge site, Ge(5) is bonded in a 9-coordinate geometry to one Mg(4), one Mg(5), two equivalent Pr(1), two equivalent Pr(2), two equivalent Pr(3), and one Ge(4) atom. In the sixth Ge site, Ge(6) is bonded in a 9-coordinate geometry to one Mg(3), one Mg(4), one Mg(5), two equivalent Mg(1), two equivalent Pr(1), and two equivalent Pr(2) atoms. is represented by the CIF file [CIF]
data_Pr4Mg5Ge6
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   10.321
_cell_length_b   10.321
_cell_length_c   16.073
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   154.901
_symmetry_Int_Tables_number   1
_cell_volume   726.236
_cell_formula_units_Z   2
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
  Pr  Pr0  1  0.013  0.987  0.764  1.0
  Pr  Pr1  1  0.987  0.013  0.264  1.0
  Pr  Pr2  1  0.033  0.967  0.501  1.0
  Pr  Pr3  1  0.967  0.033  0.001  1.0
  Pr  Pr4  1  0.165  0.835  0.963  1.0
  Pr  Pr5  1  0.835  0.165  0.463  1.0
  Pr  Pr6  1  0.175  0.825  0.322  1.0
  Pr  Pr7  1  0.825  0.175  0.822  1.0
  Mg  Mg8  1  0.155  0.845  0.642  1.0
  Mg  Mg9  1  0.845  0.155  0.142  1.0
  Mg  Mg10  1  0.303  0.697  0.645  1.0
  Mg  Mg11  1  0.697  0.303  0.145  1.0
  Mg  Mg12  1  0.340  0.660  0.998  1.0
  Mg  Mg13  1  0.660  0.340  0.498  1.0
  Mg  Mg14  1  0.442  0.558  0.596  1.0
  Mg  Mg15  1  0.558  0.442  0.096  1.0
  Mg  Mg16  1  0.650  0.350  0.786  1.0
  Mg  Mg17  1  0.350  0.650  0.286  1.0
  Ge  Ge18  1  0.114  0.886  0.146  1.0
  Ge  Ge19  1  0.886  0.114  0.646  1.0
  Ge  Ge20  1  0.226  0.774  0.786  1.0
  Ge  Ge21  1  0.774  0.226  0.286  1.0
  Ge  Ge22  1  0.232  0.768  0.500  1.0
  Ge  Ge23  1  0.768  0.232  1.000  1.0
  Ge  Ge24  1  0.433  0.567  0.864  1.0
  Ge  Ge25  1  0.567  0.433  0.364  1.0
  Ge  Ge26  1  0.555  0.445  0.914  1.0
  Ge  Ge27  1  0.445  0.555  0.414  1.0
  Ge  Ge28  1  0.572  0.428  0.638  1.0
  Ge  Ge29  1  0.428  0.572  0.138  1.0
[/CIF]
.